Index stringlengths 1 5 | Challenge stringlengths 41 1.55k | Answer in Latex stringclasses 122 values | Answer in Sympy stringlengths 1 774 | Variation stringclasses 31 values | Source stringclasses 61 values |
|---|---|---|---|---|---|
16501 | If $\log_{2 \left(69\right) } x - 2 \left(63\right) \log _{2 \left(69\right) } y=2 \left(63\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*63*(2*log(x)*63 - log(2*69))**(-1)*log(2*69)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16502 | If $\log_{2 \left(32\right) } x - 2 \left(64\right) \log _{2 \left(32\right) } y=2 \left(92\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*64*(2*log(x)*92 - log(2*32))**(-1)*log(2*32)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16503 | If $\log_{2 \left(23\right) } x - 2 \left(97\right) \log _{2 \left(23\right) } y=2 \left(44\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*97*(2*log(x)*44 - log(2*23))**(-1)*log(2*23)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16504 | If $\log_{2 \left(31\right) } x - 2 \left(79\right) \log _{2 \left(31\right) } y=2 \left(10\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*79*(2*log(x)*10 - log(2*31))**(-1)*log(2*31)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16505 | If $\log_{2 \left(75\right) } x - 2 \left(13\right) \log _{2 \left(75\right) } y=2 \left(19\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*13*(2*log(x)*19 - log(2*75))**(-1)*log(2*75)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16506 | If $\log_{2 \left(35\right) } x - 2 \left(78\right) \log _{2 \left(35\right) } y=2 \left(44\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*78*(2*log(x)*44 - log(2*35))**(-1)*log(2*35)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16507 | If $\log_{2 \left(32\right) } x - 2 \left(60\right) \log _{2 \left(32\right) } y=2 \left(78\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*60*(2*log(x)*78 - log(2*32))**(-1)*log(2*32)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16508 | If $\log_{2 \left(25\right) } x - 2 \left(67\right) \log _{2 \left(25\right) } y=2 \left(18\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*67*(2*log(x)*18 - log(2*25))**(-1)*log(2*25)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16509 | If $\log_{2 \left(38\right) } x - 2 \left(17\right) \log _{2 \left(38\right) } y=2 \left(44\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*17*(2*log(x)*44 - log(2*38))**(-1)*log(2*38)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16510 | If $\log_{2 \left(18\right) } x - 2 \left(92\right) \log _{2 \left(18\right) } y=2 \left(63\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*92*(2*log(x)*63 - log(2*18))**(-1)*log(2*18)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16511 | If $\log_{2 \left(91\right) } x - 2 \left(23\right) \log _{2 \left(91\right) } y=2 \left(13\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*23*(2*log(x)*13 - log(2*91))**(-1)*log(2*91)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16512 | If $\log_{2 \left(20\right) } x - 2 \left(69\right) \log _{2 \left(20\right) } y=2 \left(92\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*69*(2*log(x)*92 - log(2*20))**(-1)*log(2*20)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16513 | If $\log_{2 \left(94\right) } x - 2 \left(41\right) \log _{2 \left(94\right) } y=2 \left(42\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*41*(2*log(x)*42 - log(2*94))**(-1)*log(2*94)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16514 | If $\log_{2 \left(82\right) } x - 2 \left(43\right) \log _{2 \left(82\right) } y=2 \left(44\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*43*(2*log(x)*44 - log(2*82))**(-1)*log(2*82)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16515 | If $\log_{2 \left(52\right) } x - 2 \left(19\right) \log _{2 \left(52\right) } y=2 \left(75\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*19*(2*log(x)*75 - log(2*52))**(-1)*log(2*52)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16516 | If $\log_{2 \left(66\right) } x - 2 \left(99\right) \log _{2 \left(66\right) } y=2 \left(47\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*99*(2*log(x)*47 - log(2*66))**(-1)*log(2*66)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16517 | If $\log_{2 \left(71\right) } x - 2 \left(52\right) \log _{2 \left(71\right) } y=2 \left(85\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*52*(2*log(x)*85 - log(2*71))**(-1)*log(2*71)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16518 | If $\log_{2 \left(11\right) } x - 2 \left(24\right) \log _{2 \left(11\right) } y=2 \left(47\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*24*(2*log(x)*47 - log(2*11))**(-1)*log(2*11)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16519 | If $\log_{2 \left(66\right) } x - 2 \left(31\right) \log _{2 \left(66\right) } y=2 \left(83\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*31*(2*log(x)*83 - log(2*66))**(-1)*log(2*66)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16520 | If $\log_{2 \left(82\right) } x - 2 \left(26\right) \log _{2 \left(82\right) } y=2 \left(79\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*26*(2*log(x)*79 - log(2*82))**(-1)*log(2*82)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16521 | If $\log_{2 \left(80\right) } x - 2 \left(79\right) \log _{2 \left(80\right) } y=2 \left(48\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*79*(2*log(x)*48 - log(2*80))**(-1)*log(2*80)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16522 | If $\log_{2 \left(34\right) } x - 2 \left(49\right) \log _{2 \left(34\right) } y=2 \left(97\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*49*(2*log(x)*97 - log(2*34))**(-1)*log(2*34)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16523 | If $\log_{2 \left(37\right) } x - 2 \left(80\right) \log _{2 \left(37\right) } y=2 \left(12\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*80*(2*log(x)*12 - log(2*37))**(-1)*log(2*37)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16524 | If $\log_{2 \left(23\right) } x - 2 \left(70\right) \log _{2 \left(23\right) } y=2 \left(16\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*70*(2*log(x)*16 - log(2*23))**(-1)*log(2*23)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16525 | If $\log_{2 \left(33\right) } x - 2 \left(38\right) \log _{2 \left(33\right) } y=2 \left(25\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*38*(2*log(x)*25 - log(2*33))**(-1)*log(2*33)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16526 | If $\log_{2 \left(32\right) } x - 2 \left(96\right) \log _{2 \left(32\right) } y=2 \left(36\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*96*(2*log(x)*36 - log(2*32))**(-1)*log(2*32)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16527 | If $\log_{2 \left(54\right) } x - 2 \left(71\right) \log _{2 \left(54\right) } y=2 \left(28\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*71*(2*log(x)*28 - log(2*54))**(-1)*log(2*54)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16528 | If $\log_{2 \left(55\right) } x - 2 \left(13\right) \log _{2 \left(55\right) } y=2 \left(10\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*13*(2*log(x)*10 - log(2*55))**(-1)*log(2*55)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16529 | If $\log_{2 \left(68\right) } x - 2 \left(93\right) \log _{2 \left(68\right) } y=2 \left(80\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*93*(2*log(x)*80 - log(2*68))**(-1)*log(2*68)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16530 | If $\log_{2 \left(81\right) } x - 2 \left(67\right) \log _{2 \left(81\right) } y=2 \left(34\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*67*(2*log(x)*34 - log(2*81))**(-1)*log(2*81)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16531 | If $\log_{2 \left(37\right) } x - 2 \left(90\right) \log _{2 \left(37\right) } y=2 \left(37\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*90*(2*log(x)*37 - log(2*37))**(-1)*log(2*37)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16532 | If $\log_{2 \left(77\right) } x - 2 \left(53\right) \log _{2 \left(77\right) } y=2 \left(46\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*53*(2*log(x)*46 - log(2*77))**(-1)*log(2*77)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16533 | If $\log_{2 \left(21\right) } x - 2 \left(12\right) \log _{2 \left(21\right) } y=2 \left(38\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*12*(2*log(x)*38 - log(2*21))**(-1)*log(2*21)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16534 | If $\log_{2 \left(17\right) } x - 2 \left(86\right) \log _{2 \left(17\right) } y=2 \left(40\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*86*(2*log(x)*40 - log(2*17))**(-1)*log(2*17)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16535 | If $\log_{2 \left(73\right) } x - 2 \left(35\right) \log _{2 \left(73\right) } y=2 \left(17\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*35*(2*log(x)*17 - log(2*73))**(-1)*log(2*73)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16536 | If $\log_{2 \left(14\right) } x - 2 \left(50\right) \log _{2 \left(14\right) } y=2 \left(14\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*50*(2*log(x)*14 - log(2*14))**(-1)*log(2*14)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16537 | If $\log_{2 \left(62\right) } x - 2 \left(95\right) \log _{2 \left(62\right) } y=2 \left(69\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*95*(2*log(x)*69 - log(2*62))**(-1)*log(2*62)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16538 | If $\log_{2 \left(83\right) } x - 2 \left(16\right) \log _{2 \left(83\right) } y=2 \left(38\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*16*(2*log(x)*38 - log(2*83))**(-1)*log(2*83)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16539 | If $\log_{2 \left(70\right) } x - 2 \left(27\right) \log _{2 \left(70\right) } y=2 \left(81\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*27*(2*log(x)*81 - log(2*70))**(-1)*log(2*70)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16540 | If $\log_{2 \left(41\right) } x - 2 \left(90\right) \log _{2 \left(41\right) } y=2 \left(33\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*90*(2*log(x)*33 - log(2*41))**(-1)*log(2*41)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16541 | If $\log_{2 \left(59\right) } x - 2 \left(40\right) \log _{2 \left(59\right) } y=2 \left(15\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*40*(2*log(x)*15 - log(2*59))**(-1)*log(2*59)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16542 | If $\log_{2 \left(24\right) } x - 2 \left(87\right) \log _{2 \left(24\right) } y=2 \left(82\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*87*(2*log(x)*82 - log(2*24))**(-1)*log(2*24)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16543 | If $\log_{2 \left(86\right) } x - 2 \left(32\right) \log _{2 \left(86\right) } y=2 \left(66\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*32*(2*log(x)*66 - log(2*86))**(-1)*log(2*86)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16544 | If $\log_{2 \left(95\right) } x - 2 \left(28\right) \log _{2 \left(95\right) } y=2 \left(78\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*28*(2*log(x)*78 - log(2*95))**(-1)*log(2*95)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16545 | If $\log_{2 \left(51\right) } x - 2 \left(52\right) \log _{2 \left(51\right) } y=2 \left(78\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*52*(2*log(x)*78 - log(2*51))**(-1)*log(2*51)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16546 | If $\log_{2 \left(70\right) } x - 2 \left(63\right) \log _{2 \left(70\right) } y=2 \left(33\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*63*(2*log(x)*33 - log(2*70))**(-1)*log(2*70)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16547 | If $\log_{2 \left(25\right) } x - 2 \left(50\right) \log _{2 \left(25\right) } y=2 \left(93\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*50*(2*log(x)*93 - log(2*25))**(-1)*log(2*25)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16548 | If $\log_{2 \left(76\right) } x - 2 \left(44\right) \log _{2 \left(76\right) } y=2 \left(72\right) $, determine $y$, as a function of $x$
| e**(-2*log(x)*44*(2*log(x)*72 - log(2*76))**(-1)*log(2*76)) | Numeric-All-2-S | OlympiadBench
oe_to_maths_en_comp
2498 | |
16549 | If $f(x)=2 \left(71\right) x+ (1 \left(74\right) )$ and $g(f(x)) = 4 \left(97\right) x^{2}+ (1 \left(47\right) )$, determine an expression for $g(x)$. | 47 + 97*(x - 74)**2*71**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16550 | If $f(x)=2 \left(12\right) x+ (1 \left(72\right) )$ and $g(f(x)) = 4 \left(58\right) x^{2}+ (1 \left(69\right) )$, determine an expression for $g(x)$. | 58*(x - 72)**2*12**(-2) + 69 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16551 | If $f(x)=2 \left(41\right) x+ (1 \left(47\right) )$ and $g(f(x)) = 4 \left(89\right) x^{2}+ (1 \left(22\right) )$, determine an expression for $g(x)$. | 22 + 89*(x - 47)**2*41**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16552 | If $f(x)=2 \left(56\right) x+ (1 \left(65\right) )$ and $g(f(x)) = 4 \left(20\right) x^{2}+ (1 \left(55\right) )$, determine an expression for $g(x)$. | 20*(x - 65)**2*56**(-2) + 55 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16553 | If $f(x)=2 \left(60\right) x+ (1 \left(47\right) )$ and $g(f(x)) = 4 \left(93\right) x^{2}+ (1 \left(59\right) )$, determine an expression for $g(x)$. | 59 + 93*(x - 47)**2*60**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16554 | If $f(x)=2 \left(61\right) x+ (1 \left(18\right) )$ and $g(f(x)) = 4 \left(20\right) x^{2}+ (1 \left(82\right) )$, determine an expression for $g(x)$. | 20*(x - 18)**2*61**(-2) + 82 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16555 | If $f(x)=2 \left(59\right) x+ (1 \left(25\right) )$ and $g(f(x)) = 4 \left(23\right) x^{2}+ (1 \left(60\right) )$, determine an expression for $g(x)$. | 23*(x - 25)**2*59**(-2) + 60 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16556 | If $f(x)=2 \left(49\right) x+ (1 \left(90\right) )$ and $g(f(x)) = 4 \left(19\right) x^{2}+ (1 \left(95\right) )$, determine an expression for $g(x)$. | 19*(x - 90)**2*49**(-2) + 95 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16557 | If $f(x)=2 \left(13\right) x+ (1 \left(87\right) )$ and $g(f(x)) = 4 \left(58\right) x^{2}+ (1 \left(38\right) )$, determine an expression for $g(x)$. | 38 + 58*(x - 87)**2*13**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16558 | If $f(x)=2 \left(44\right) x+ (1 \left(26\right) )$ and $g(f(x)) = 4 \left(80\right) x^{2}+ (1 \left(61\right) )$, determine an expression for $g(x)$. | 61 + 80*(x - 26)**2*44**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16559 | If $f(x)=2 \left(95\right) x+ (1 \left(97\right) )$ and $g(f(x)) = 4 \left(56\right) x^{2}+ (1 \left(22\right) )$, determine an expression for $g(x)$. | 22 + 56*(x - 97)**2*95**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16560 | If $f(x)=2 \left(64\right) x+ (1 \left(58\right) )$ and $g(f(x)) = 4 \left(56\right) x^{2}+ (1 \left(59\right) )$, determine an expression for $g(x)$. | 56*(x - 58)**2*64**(-2) + 59 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16561 | If $f(x)=2 \left(84\right) x+ (1 \left(12\right) )$ and $g(f(x)) = 4 \left(32\right) x^{2}+ (1 \left(54\right) )$, determine an expression for $g(x)$. | 32*(x - 12)**2*84**(-2) + 54 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16562 | If $f(x)=2 \left(61\right) x+ (1 \left(11\right) )$ and $g(f(x)) = 4 \left(48\right) x^{2}+ (1 \left(63\right) )$, determine an expression for $g(x)$. | 48*(x - 11)**2*61**(-2) + 63 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16563 | If $f(x)=2 \left(27\right) x+ (1 \left(91\right) )$ and $g(f(x)) = 4 \left(69\right) x^{2}+ (1 \left(16\right) )$, determine an expression for $g(x)$. | 16 + 69*(x - 91)**2*27**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16564 | If $f(x)=2 \left(39\right) x+ (1 \left(83\right) )$ and $g(f(x)) = 4 \left(20\right) x^{2}+ (1 \left(66\right) )$, determine an expression for $g(x)$. | 20*(x - 83)**2*39**(-2) + 66 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16565 | If $f(x)=2 \left(14\right) x+ (1 \left(88\right) )$ and $g(f(x)) = 4 \left(78\right) x^{2}+ (1 \left(10\right) )$, determine an expression for $g(x)$. | 10 + 78*(x - 88)**2*14**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16566 | If $f(x)=2 \left(18\right) x+ (1 \left(40\right) )$ and $g(f(x)) = 4 \left(56\right) x^{2}+ (1 \left(14\right) )$, determine an expression for $g(x)$. | 14 + 56*(x - 40)**2*18**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16567 | If $f(x)=2 \left(39\right) x+ (1 \left(63\right) )$ and $g(f(x)) = 4 \left(66\right) x^{2}+ (1 \left(90\right) )$, determine an expression for $g(x)$. | 66*(x - 63)**2*39**(-2) + 90 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16568 | If $f(x)=2 \left(98\right) x+ (1 \left(33\right) )$ and $g(f(x)) = 4 \left(75\right) x^{2}+ (1 \left(69\right) )$, determine an expression for $g(x)$. | 69 + 75*(x - 33)**2*98**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16569 | If $f(x)=2 \left(96\right) x+ (1 \left(91\right) )$ and $g(f(x)) = 4 \left(38\right) x^{2}+ (1 \left(78\right) )$, determine an expression for $g(x)$. | 38*(x - 91)**2*96**(-2) + 78 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16570 | If $f(x)=2 \left(24\right) x+ (1 \left(75\right) )$ and $g(f(x)) = 4 \left(54\right) x^{2}+ (1 \left(10\right) )$, determine an expression for $g(x)$. | 10 + 54*(x - 75)**2*24**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16571 | If $f(x)=2 \left(67\right) x+ (1 \left(88\right) )$ and $g(f(x)) = 4 \left(49\right) x^{2}+ (1 \left(55\right) )$, determine an expression for $g(x)$. | 49*(x - 88)**2*67**(-2) + 55 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16572 | If $f(x)=2 \left(31\right) x+ (1 \left(53\right) )$ and $g(f(x)) = 4 \left(64\right) x^{2}+ (1 \left(75\right) )$, determine an expression for $g(x)$. | 64*(x - 53)**2*31**(-2) + 75 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16573 | If $f(x)=2 \left(76\right) x+ (1 \left(49\right) )$ and $g(f(x)) = 4 \left(67\right) x^{2}+ (1 \left(95\right) )$, determine an expression for $g(x)$. | 67*(x - 49)**2*76**(-2) + 95 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16574 | If $f(x)=2 \left(29\right) x+ (1 \left(73\right) )$ and $g(f(x)) = 4 \left(92\right) x^{2}+ (1 \left(62\right) )$, determine an expression for $g(x)$. | 62 + 92*(x - 73)**2*29**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16575 | If $f(x)=2 \left(42\right) x+ (1 \left(21\right) )$ and $g(f(x)) = 4 \left(77\right) x^{2}+ (1 \left(99\right) )$, determine an expression for $g(x)$. | 77*(x - 21)**2*42**(-2) + 99 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16576 | If $f(x)=2 \left(22\right) x+ (1 \left(64\right) )$ and $g(f(x)) = 4 \left(45\right) x^{2}+ (1 \left(41\right) )$, determine an expression for $g(x)$. | 41 + 45*(x - 64)**2*22**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16577 | If $f(x)=2 \left(16\right) x+ (1 \left(91\right) )$ and $g(f(x)) = 4 \left(37\right) x^{2}+ (1 \left(28\right) )$, determine an expression for $g(x)$. | 28 + 37*(x - 91)**2*16**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16578 | If $f(x)=2 \left(75\right) x+ (1 \left(52\right) )$ and $g(f(x)) = 4 \left(44\right) x^{2}+ (1 \left(56\right) )$, determine an expression for $g(x)$. | 44*(x - 52)**2*75**(-2) + 56 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16579 | If $f(x)=2 \left(56\right) x+ (1 \left(61\right) )$ and $g(f(x)) = 4 \left(14\right) x^{2}+ (1 \left(79\right) )$, determine an expression for $g(x)$. | 14*(x - 61)**2*56**(-2) + 79 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16580 | If $f(x)=2 \left(80\right) x+ (1 \left(36\right) )$ and $g(f(x)) = 4 \left(63\right) x^{2}+ (1 \left(85\right) )$, determine an expression for $g(x)$. | 63*(x - 36)**2*80**(-2) + 85 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16581 | If $f(x)=2 \left(34\right) x+ (1 \left(28\right) )$ and $g(f(x)) = 4 \left(25\right) x^{2}+ (1 \left(10\right) )$, determine an expression for $g(x)$. | 10 + 25*(x - 28)**2*34**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16582 | If $f(x)=2 \left(83\right) x+ (1 \left(23\right) )$ and $g(f(x)) = 4 \left(99\right) x^{2}+ (1 \left(16\right) )$, determine an expression for $g(x)$. | 16 + 99*(x - 23)**2*83**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16583 | If $f(x)=2 \left(94\right) x+ (1 \left(99\right) )$ and $g(f(x)) = 4 \left(31\right) x^{2}+ (1 \left(62\right) )$, determine an expression for $g(x)$. | 31*(x - 99)**2*94**(-2) + 62 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16584 | If $f(x)=2 \left(86\right) x+ (1 \left(21\right) )$ and $g(f(x)) = 4 \left(97\right) x^{2}+ (1 \left(71\right) )$, determine an expression for $g(x)$. | 71 + 97*(x - 21)**2*86**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16585 | If $f(x)=2 \left(99\right) x+ (1 \left(21\right) )$ and $g(f(x)) = 4 \left(54\right) x^{2}+ (1 \left(41\right) )$, determine an expression for $g(x)$. | 41 + 54*(x - 21)**2*99**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16586 | If $f(x)=2 \left(15\right) x+ (1 \left(97\right) )$ and $g(f(x)) = 4 \left(10\right) x^{2}+ (1 \left(58\right) )$, determine an expression for $g(x)$. | 10*(x - 97)**2*15**(-2) + 58 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16587 | If $f(x)=2 \left(84\right) x+ (1 \left(23\right) )$ and $g(f(x)) = 4 \left(25\right) x^{2}+ (1 \left(50\right) )$, determine an expression for $g(x)$. | 25*(x - 23)**2*84**(-2) + 50 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16588 | If $f(x)=2 \left(45\right) x+ (1 \left(79\right) )$ and $g(f(x)) = 4 \left(22\right) x^{2}+ (1 \left(25\right) )$, determine an expression for $g(x)$. | 22*(x - 79)**2*45**(-2) + 25 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16589 | If $f(x)=2 \left(33\right) x+ (1 \left(26\right) )$ and $g(f(x)) = 4 \left(16\right) x^{2}+ (1 \left(50\right) )$, determine an expression for $g(x)$. | 16*(x - 26)**2*33**(-2) + 50 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16590 | If $f(x)=2 \left(76\right) x+ (1 \left(38\right) )$ and $g(f(x)) = 4 \left(50\right) x^{2}+ (1 \left(43\right) )$, determine an expression for $g(x)$. | 43 + 50*(x - 38)**2*76**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16591 | If $f(x)=2 \left(36\right) x+ (1 \left(35\right) )$ and $g(f(x)) = 4 \left(81\right) x^{2}+ (1 \left(10\right) )$, determine an expression for $g(x)$. | 10 + 81*(x - 35)**2*36**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16592 | If $f(x)=2 \left(97\right) x+ (1 \left(42\right) )$ and $g(f(x)) = 4 \left(84\right) x^{2}+ (1 \left(43\right) )$, determine an expression for $g(x)$. | 43 + 84*(x - 42)**2*97**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16593 | If $f(x)=2 \left(12\right) x+ (1 \left(26\right) )$ and $g(f(x)) = 4 \left(65\right) x^{2}+ (1 \left(57\right) )$, determine an expression for $g(x)$. | 57 + 65*(x - 26)**2*12**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16594 | If $f(x)=2 \left(81\right) x+ (1 \left(89\right) )$ and $g(f(x)) = 4 \left(89\right) x^{2}+ (1 \left(76\right) )$, determine an expression for $g(x)$. | 76 + 89*(x - 89)**2*81**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16595 | If $f(x)=2 \left(62\right) x+ (1 \left(42\right) )$ and $g(f(x)) = 4 \left(14\right) x^{2}+ (1 \left(53\right) )$, determine an expression for $g(x)$. | 14*(x - 42)**2*62**(-2) + 53 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16596 | If $f(x)=2 \left(85\right) x+ (1 \left(54\right) )$ and $g(f(x)) = 4 \left(95\right) x^{2}+ (1 \left(42\right) )$, determine an expression for $g(x)$. | 42 + 95*(x - 54)**2*85**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16597 | If $f(x)=2 \left(76\right) x+ (1 \left(72\right) )$ and $g(f(x)) = 4 \left(37\right) x^{2}+ (1 \left(79\right) )$, determine an expression for $g(x)$. | 37*(x - 72)**2*76**(-2) + 79 | Numeric-All-2-S | OlympicArena
Math_1381 | |
16598 | If $f(x)=2 \left(73\right) x+ (1 \left(74\right) )$ and $g(f(x)) = 4 \left(57\right) x^{2}+ (1 \left(20\right) )$, determine an expression for $g(x)$. | 20 + 57*(x - 74)**2*73**(-2) | Numeric-All-2-S | OlympicArena
Math_1381 | |
16599 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(50\right) }} \frac{ \left(69\right) x \sin(2 \left(50\right) x)}{(1 \left(30\right) ) + \cos^2(2 \left(50\right) x)} dx$ | pi*50**(-2)*30**(-1/2)*atan(30**(-1/2))*69/4 | Numeric-All-2-S | OBMU 2019 - Q21 | |
16600 | Solve the following integral.
$\int_0^{\frac{\pi}{2 \left(75\right) }} \frac{ \left(53\right) x \sin(2 \left(75\right) x)}{(1 \left(66\right) ) + \cos^2(2 \left(75\right) x)} dx$ | pi*75**(-2)*66**(-1/2)*atan(66**(-1/2))*53/4 | Numeric-All-2-S | OBMU 2019 - Q21 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.