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Let w(m) = m**3 + 5*m**2 - 24*m - 98. Give w(-5). 22 Let d(o) = -3*o**2 - 61*o - 124. Calculate d(-19). -48 Let p(d) = -d**3 - 11*d**2 - 6*d - 38. Determine p(-11). 28 Let h(u) = 15*u + 56. What is h(3)? 101 Let k(m) = -4*m**2 - 40*m + 12. What is k(-7)? 96 Let c(p) = p**3 + 7*p**2 + 13*p + 16. What is c(-8)? -152 Let z(h) = 26*h**2 - 2653*h + 105. Calculate z(102). 3 Let k(t) = 7*t**3 + 6*t**2 + 7*t + 2. Give k(-1). -6 Let x(n) = n**3 - 12*n**2 - 69*n + 543. Determine x(6). -87 Let t(h) = 3*h**3 + 6*h**2 - 8*h - 9. Calculate t(-3). -12 Let k(c) = -c**3 - 157*c**2 - 1976*c + 3720. Calculate k(-143). 2 Let z(b) = 76*b + 3119. Calculate z(-41). 3 Let t(u) = 10*u**3 + 307*u**2 - 94*u - 28. Give t(-31). 3 Let f(h) = -2*h**3 - 37*h**2 - 127*h - 19. Give f(-14). -5 Let f(v) = v**3 + 6*v**2 + 63*v + 176. Calculate f(-7). -314 Let y(d) = d**3 + 3*d**2 + 48*d + 529. Determine y(-7). -3 Let n(f) = f + 95. What is n(-23)? 72 Let w(y) = -7*y**3 - 7*y**2 + 6*y + 16. Determine w(-2). 32 Let t(u) = -u**3 - 48*u**2 - 7*u - 57. Give t(-48). 279 Let v(b) = 3*b**2 + 119*b + 194. Give v(-38). 4 Let z(b) = b**3 + 8*b**2 - b + 15. Give z(-9). -57 Let x(c) = -6*c**3 - 3*c**2 - c + 6. Calculate x(-2). 44 Let n(y) = -2271*y + 40892. Give n(18). 14 Let m(a) = -a**3 + 6*a**2 - 21*a + 295. What is m(8)? -1 Let b(j) = -j**3 + 163*j**2 + 2710*j + 595. Calculate b(-15). -5 Let z(d) = 3*d**3 + 766*d**2 + 252*d - 762. What is z(-255)? 3 Let n(w) = w**3 - 13*w**2 - 7*w + 258. Determine n(12). 30 Let o(i) = i**3 - 14*i**2 + 4*i + 122. Calculate o(13). 5 Let z(g) = 3*g**2 - 4*g - 12. What is z(-4)? 52 Let m(a) = -2*a**3 + 32*a**2 - 86*a + 1374. What is m(16)? -2 Let t(c) = -81*c + 1781. What is t(22)? -1 Let k(t) = 64*t + 2192. Give k(-34). 16 Let i(k) = k**3 + 59*k**2 + 162*k - 337. What is i(-56)? -1 Let r(u) = 17*u**3 - 7*u - 3. What is r(-2)? -125 Let f(v) = 3179*v + 12813. Give f(-4). 97 Let a(h) = h**3 + 18*h**2 - 69*h + 5. What is a(3)? -13 Let m(f) = f**2 - 75*f - 16950. Calculate m(-98). 4 Let m(y) = -133*y + 3172. Determine m(25). -153 Let y(j) = 7*j**3 + 16*j**2 - 14*j - 47. What is y(-3)? -50 Let k(i) = -i**3 - 48*i**2 - i - 67. Determine k(-48). -19 Let w(q) = -q**3 + 41*q**2 - 80*q + 76. What is w(39)? -2 Let x(h) = -3*h**2 - 40*h + 180. Calculate x(4). -28 Let u(p) = p**2 - 27*p + 354. Determine u(14). 172 Let n(x) = 56*x - 109. What is n(2)? 3 Let j(k) = -8*k**2 + 23*k - 24. Determine j(1). -9 Let b(o) = -117*o + 6318. Determine b(54). 0 Let a(x) = -x**3 - 9*x**2 + 17*x + 6. Give a(-10). -64 Let f(q) = 2*q**2 + 18*q - 145. Give f(5). -5 Let c(d) = d**2 - 53*d + 623. Determine c(35). -7 Let f(t) = 165*t**2 - 9568*t - 67. Give f(58). 49 Let d(m) = -39*m - 301. Give d(-10). 89 Let l(o) = 102*o - 23636. Calculate l(232). 28 Let c(h) = 79*h + 5273. What is c(-65)? 138 Let y(b) = 3458*b + 10371. What is y(-3)? -3 Let k(u) = -u**3 - 36*u**2 - 125*u + 104. Calculate k(-32). 8 Let o(i) = -i**2 + 55*i - 374. What is o(7)? -38 Let y(r) = -r**2 - 471*r + 5296. Determine y(11). -6 Let o(y) = y**3 - 4*y**2 - 29*y - 7. Determine o(7). -63 Let o(d) = 15*d + 93. Calculate o(-18). -177 Let h(u) = 3*u**2 + 169*u + 24. Give h(-56). -32 Let w(o) = 891*o + 4428. Determine w(-5). -27 Let x(z) = -6*z**3 + 4*z**2 + 683*z + 1. What is x(11)? 12 Let b(d) = 2*d**3 + 5*d**2 + 22*d + 19. Give b(-2). -21 Let y(f) = -2*f**3 - 18*f**2 + 44*f + 260. Calculate y(-10). 20 Let w(o) = -52319*o + 104629. Calculate w(2). -9 Let d(i) = 3*i**3 - 92*i**2 + 220*i + 95. Give d(28). -17 Let a(i) = 13*i**2 - 25*i + 3. What is a(2)? 5 Let p(d) = 56*d + 12. Give p(2). 124 Let u(n) = 6*n - 266. Give u(17). -164 Let a(u) = -12*u**3 + 25*u**2 + 26*u. Calculate a(-1). 11 Let b(p) = 8*p**2 + 553*p + 49. Determine b(-69). -20 Let l(o) = 9*o**2 - 1026*o + 1019. What is l(113)? 2 Let q(g) = -g**2 + 21*g + 16. Calculate q(8). 120 Let g(c) = c**3 - 40*c**2 + 2*c + 1419. Calculate g(39). -24 Let x(m) = 6*m**2 - 257*m + 2475. Calculate x(15). -30 Let k(r) = -2178*r + 89293. Give k(41). -5 Let i(f) = 354*f**2 + 7*f + 7. Give i(-1). 354 Let t(q) = 176*q + 1075. Calculate t(-6). 19 Let q(f) = 1767*f + 26495. Give q(-15). -10 Let t(j) = 25*j**2 - 3*j - 5. Determine t(1). 17 Let z(x) = x**2 + 41*x - 43. Give z(-41). -43 Let g(c) = -c**2 - 85*c - 617. What is g(-8)? -1 Let h(c) = -2*c**2 - 27*c - 114. What is h(-8)? -26 Let p(u) = 75*u + 45. Determine p(0). 45 Let d(q) = 49*q + 4376. What is d(-90)? -34 Let j(p) = p**3 - 165*p - 48. Calculate j(13). 4 Let w(x) = 10*x + 257. Give w(-27). -13 Let c(y) = y**2 - 27*y + 75. What is c(24)? 3 Let j(b) = 48*b + 1248. Determine j(-26). 0 Let o(s) = 17*s**2 - 60*s - 29. Determine o(7). 384 Let g(k) = 3*k**3 + 2*k**2 - 26*k + 24. Give g(2). 4 Let d(r) = -67*r + 1159. Calculate d(13). 288 Let f(c) = -943*c - 24521. Give f(-26). -3 Let g(u) = 2*u**2 - 4*u + 3. What is g(1)? 1 Let v(l) = l**3 + 240*l**2 + 3164*l - 48. Give v(-226). -48 Let p(i) = i**3 - 7*i**2 - 51*i - 32. Calculate p(13). 319 Let j(n) = -3*n + 166. What is j(16)? 118 Let h(v) = -3*v**3 + 28*v**2 - 21*v + 8. Give h(11). -828 Let x(o) = 30*o + 4029. What is x(-134)? 9 Let g(m) = -m**3 + 18*m**2 - 70*m + 26. Determine g(13). -39 Let p(g) = -15*g**2 - 156*g + 9. Calculate p(-10). 69 Let t(r) = -242*r**3 - 6*r**2 - 7*r - 1. Calculate t(-1). 242 Let y(g) = -g**2 + 546*g + 16115. Calculate y(-28). 43 Let b(q) = q**2 + 24*q - 1212. Calculate b(24). -60 Let r(j) = -22*j**3 - 16*j**2 + 2*j. Determine r(-2). 108 Let c(y) = 43*y + 100. What is c(-3)? -29 Let j(n) = -n**3 + 55*n**2 - 68*n + 633. Calculate j(54). -123 Let i(k) = -60*k - 4796. Give i(-80). 4 Let o(b) = 33*b + 294. Give o(-11). -69 Let y(v) = 420*v + 5425. Give y(-13). -35 Let f(o) = -8*o + 368. Determine f(31). 120 Let q(f) = 180*f + 7201. Determine q(-40). 1 Let t(s) = -13*s**3 + 2*s**2 - 42*s - 138. Determine t(-3). 357 Let x(q) = -q**3 - 10*q**2 - q - 116. What is x(-11)? 16 Let u(n) = -n**3 + 21*n**2 - 23*n + 60. What is u(20)? 0 Let i(r) = 31*r**2 - 159*r + 28. Give i(5). 8 Let u(y) = -6771*y + 13550. Determine u(2). 8 Let r(y) = 19*y + 631. What is r(-33)? 4 Let k(v) = -2*v**2 + 45*v - 29. Determine k(13). 218 Let t(f) = -7*f**2 - 47*f - 73. Determine t(-4). 3 Let f(z) = -167*z**3 - 13*z**2 + 2*z + 2. What is f(-1)? 154 Let w(p) = -2*p**3 - 26*p**2 + 530*p + 40. Calculate w(-24). -8 Let j(o) = o**2 - 15*o + 8. What is j(15)? 8 Let c(g) = -928*g + 4608. Determine c(5). -32 Let g(f) = 21*f - 96. Determine g(-13). -369 Let n(r) = -r**3 + 5*r**2 + r + 4. Give n(3). 25 Let a(x) = x**3 - 42*x**2 + 288*x - 12092. Calculate a(42). 4 Let y(b) = -2*b**2 - 17*b - 53. Give y(-8). -45 Let y(n) = -n**2 + 197*n + 6817. What is y(227)? 7 Let a(z) = -z**3 - 10*z**2 - 9*z + 8. Determine a(-9). 8 Let y(m) = 9740*m - 29214. Calculate y(3). 6 Let r(x) = -64*x**2 + 5*x. Calculate r(1). -59 Let s(b) = -b**3 - 10*b**2 + 17*b - 12. Give s(-11). -78 Let t(x) = x**3 - 41*x**2 - 108*x - 1042. What is t(44)? 14 Let v(m) = -m**3 - 20*m**2 - 57*m - 484. Calculate v(-19). 238 Let z(n) = 5*n + 158. Determine z(-33). -7 Let m(r) = r**3 - 218*r + 908. Give m(12). 20 Let h(g) = -g**3 - 38*g**2 - 43*g - 242. Give h(-37). -20 Let d(r) = r**2 - 40*r - 1120. Calculate d(59). 1 Let n(u) = 2*u**2 + 87*u - 319. What is n(-47)? 10 Let q(x) = -x**3 + 3*x**2 + 30*x - 7. Give q(7). 7 Let z(d) = 22*d - 501. Determine z(26). 71 Let s(q) = -15*q**2 - 190*q - 235. What is s(-11)? 40 Let n(p) = -24*p**2 + 289*p - 10. What is n(12)? 2 Let p(q) = -3*q**3 + 75*q**2 - 71*q - 14. What is p(24)? 10 Let b(a) = -a**3 + a**2 - 28*a - 27. Give b(-7). 561 Let o(b) = 4182*b + 29257. Calculate o(-7). -17 Let c(x) = 478*x - 2379. Determine c(5). 11 Let h(j) = 37*j + 111. Calculate h(-3). 0 Let w(c) = c**3 + 58*c**2 + 55*c - 122. Give w(-57). -8 Let q(o) = 2937*o - 14687. Determine q(5). -2 Let m(k) = k**2 - 2946*k + 38123. What is m(13)? -6 Let i(k) = 115*k**3 + k**2 + 4*k + 5. What is i(-1)? -113 Let d(g) = 516*g - 5691. Give d(11). -15 Let a(z) = -2*z**2 + 117*z - 64. Calculate a(58). -6 Let s(l) = -49*l + 1586. Give s(33). -31 Let f(a) = -2*a**2 - 2260*a - 22485. Calculate f(-10). -85 Let a(m) = m**3 + 3*m**2 - 111*m - 506. Give a(-5). -1 Let l(f) = f**3 - 7*f**2 + 69*f - 602. What is l(8)? 14 Let a(k) = 3*k**2 + 182*k + 74
{ "pile_set_name": "DM Mathematics" }
than -3? True Which is smaller: 23281 or 23283? 23281 Which is bigger: 2/6531 or 1? 1 Do 1/979 and -3/8 have the same value? False Is -19618 smaller than -19607? True Is 1 not equal to -64/15149? True Which is greater: -326835 or -326834? -326834 Is 200504 not equal to 1002517/5? True Which is smaller: 0.4442 or -60/17? -60/17 Which is smaller: 206527 or 206526? 206526 Is 12/14087 at least -1? True Is 428974 not equal to 428973? True Is 7228 at least as big as 7585? False Does 0.1 = -0.032308? False Which is greater: -843 or -775? -775 Is -890 less than or equal to -902? False Is 0.4 at most -3436? False Which is smaller: 95205 or 95207? 95205 Is 2711 > 2690? True Is 3271 at most as big as 4361? True Do 1029 and 1044 have the same value? False Which is bigger: 163896 or 163895? 163896 Is 16/256355 < 1? True Which is bigger: 18846/11 or 1713? 18846/11 Which is bigger: -1 or -141274? -1 Are 0.332 and -1798 equal? False Which is bigger: 420 or 508? 508 Which is smaller: 1316 or 1304? 1304 Which is smaller: 392 or -0.13? -0.13 Are 56 and -4414 unequal? True Which is smaller: -4 or 19753? -4 Which is bigger: 3027 or 2635? 3027 Which is smaller: -11/169241 or 0? -11/169241 Is 3/1522295 greater than or equal to 0? True Do 0 and -3/6667694 have different values? True Which is bigger: 1555 or 1583? 1583 Which is smaller: -107.5 or 2/25? -107.5 Is -663 <= 0.33? True Is 1056 <= -1.8? False Is 0 < -356066? False Which is smaller: -50/893 or 20? -50/893 Which is greater: 76 or 3792/49? 3792/49 Which is smaller: 6198 or -0.02? -0.02 Which is smaller: 90908/9 or 10100? 10100 Which is bigger: 227 or 222? 227 Which is greater: 0 or 1/2530398? 1/2530398 Is -5 bigger than -373/87? False Is 390 less than 650? True Are 29787/25 and 1192 nonequal? True Is -30 >= 1987? False Which is greater: -6.472 or 11? 11 Is 10693 bigger than 10689? True Which is bigger: -30 or -27635? -30 Which is bigger: 2280/43 or 52? 2280/43 Is 1824 smaller than 1836? True Is 78/7 >= 5.54? True Is 5.2 at least 755? False Is -1058 greater than or equal to 1.93? False Is 87252 greater than 2/3? True Is 0 not equal to 3/887207? True Which is greater: 337/1431 or -1? 337/1431 Is 18420/203 < 91? True Is -657212 equal to -657212? True Is -3635 at least -18172/5? False Which is bigger: 5 or 2194? 2194 Which is smaller: -43804 or -43805? -43805 Which is smaller: -103/43865 or 1? -103/43865 Which is bigger: 1.3 or 5323/4? 5323/4 Which is bigger: -33/19411 or -1? -33/19411 Do -150803 and 0.2 have different values? True Is -2/5 less than or equal to 58/85141? True Is -11 < -54.98? False Do -3637796/3 and -1212598 have the same value? False Which is smaller: 1 or -15/2261? -15/2261 Which is smaller: 17732 or 124128/7? 17732 Is 306/47887 greater than -1? True Which is greater: 12.36 or 52/9? 12.36 Is -1/876164 greater than 1? False Which is greater: 125/2062 or 1? 1 Is 2/749837 less than -1? False Which is bigger: 153/845 or -1? 153/845 Which is smaller: -37/537 or 0? -37/537 Is 23.9 at most as big as -16? False Is -3304 smaller than 281? True Which is greater: 0.066 or -1/103? 0.066 Which is bigger: -449773 or -1799091/4? -1799091/4 Which is bigger: 6/1269163 or 1? 1 Is 0 > -8/36649? True Is -1 greater than 770113? False Do -104903 and -104900 have the same value? False Is -3261 at least as big as 70? False Is 3 bigger than 366/233? True Which is smaller: -430 or 837? -430 Is 1644 >= 1505? True Are -438/725 and 0 non-equal? True Which is smaller: -29929.88 or -0.1? -29929.88 Which is smaller: 5077 or 6/11? 6/11 Is 180 at most 257.3? True Which is greater: -1000 or -88035/88? -1000 Which is smaller: 77/282 or 1/3? 77/282 Which is bigger: 444 or 857? 857 Is -93 greater than -16731? True Is -9111 <= -9025? True Which is bigger: -30/2453 or -1? -30/2453 Which is smaller: -101667 or -101669? -101669 Are 883.7 and 9 unequal? True Which is smaller: -4195651 or -4195650? -4195651 Is 1 greater than or equal to 4233.9? False Does -718835 = 2/5? False Is -5 > -0.029172? False Which is greater: -17 or -4076/225? -17 Which is smaller: -45342 or -136030/3? -136030/3 Which is greater: -7804 or -7777? -7777 Is -0.2 <= 40851? True Which is smaller: 1 or 19/28753? 19/28753 Which is smaller: 234804 or 234800? 234800 Is -6499 greater than or equal to -6526? True Which is smaller: -2015 or 299? -2015 Which is bigger: -1182 or -454? -454 Which is smaller: 28581 or 12? 12 Which is smaller: 1 or -0.089806? -0.089806 Is 6346 at most 6138? False Which is smaller: -12250 or -0.1? -12250 Are 36/109615 and 1 nonequal? True Which is greater: 35444 or -4? 35444 Does -2/99301 = 1? False Is -183079 less than -183079? False Is -2623 less than -2509? True Is 43/4 <= 20299? True Which is smaller: 330 or 152? 152 Is 987/13385 at most 1? True Which is bigger: 4/206355 or 1? 1 Is 1 at most 1/6007? False Is -973 greater than or equal to -899? False Which is smaller: 46722 or 46740? 46722 Which is smaller: -2146/3865 or -1? -1 Which is bigger: -1 or -16/990651? -16/990651 Is -19 at least -5251/291? False Do 2957 and 2964 have the same value? False Is -1 at most as big as 7633? True Which is smaller: 2/3 or 2946/25? 2/3 Which is greater: -1 or -40/3981? -40/3981 Which is bigger: -66482/5 or -13295? -13295 Which is smaller: -5327 or -5316? -5327 Is 7041 < 7031? False Is -23512/27 less than or equal to -872? False Which is greater: -54 or -64345? -54 Which is bigger: -0.2 or 11744? 11744 Is -69618 < -35? True Are -405385 and -405386 nonequal? True Does 0.12 = 0.98424? False Is -146291 > -146293? True Which is smaller: 2/19048041 or 0? 0 Which is greater: 90161 or 13? 90161 Is 89472 <= 89472? True Is 2 < 4.118085? True Do 25 and -1319 have different values? True Which is smaller: -9 or -475? -475 Which is bigger: 1420 or 1409? 1420 Is -0.3 at least as big as 1/133374? False Is -18 not equal to 8959? True Does 337 = 2/7? False Is -127 greater than -27? False Which is smaller: -383979 or -383984? -383984 Is -1 equal to 65685/7? False Which is bigger: 2/469259 or 1? 1 Which is bigger: -431/37 or -63? -431/37 Which is smaller: -24481 or -24488? -24488 Which is greater: 0 or 37/21187? 37/21187 Is 11 at least as big as 2492/207? False Which is smaller: 183863 or 367723/2? 367723/2 Is -838981 equal to -838978? False Which is smaller: -1271472/19 or -66921? -66921 Do -1 and 34/41931 have the same value? False Which is smaller: 46 or 0.1976? 0.1976 Which is smaller: -1 or -221901? -221901 Which is smaller: -19658 or -1/2? -19658 Which is greater: -1/103674 or -1? -1/103674 Which is bigger: 4463 or 4467? 4467 Which is smaller: -85/6 or -407? -407 Which is smaller: -45039/14 or -3216? -45039/14 Which is greater: 203691 or 203689? 203691 Are 494259/7 and 70607 nonequal? True Is -1 < -27/346043? True Is 2118862 at least 2118862? True Is -2361 at least -2368? True Which is smaller: -2435009 or 1/4? -2435009 Which is bigger: 8 or 28531? 28531 Is 4 at least 263306? False Is 11656 at most as big as 81600/7? True Which is smaller: -179770 or -179772? -179772 Does -124 = -1019? False Is -712/435 at most -1? True Which is bigger: 15008 or 15015? 15015 Which is smaller: -5082 or -5147? -5147 Is 1 at least -2/949253? True Which is greater: -1 or 10/218797? 10/218797 Do 227/2238 and 0 have different values? True Which is smaller: -0.101 or -141? -141 Is -24116 < -24116? False Is 91884/61 at most 1506? False Which is greater: -790 or -10280/13? -790 Which is smaller: 2/661857 or 1? 2/661857 Is 1875/19 <= -0.6? False Which is smaller: 24649 or 36? 36 Is 26 smaller than 13676/541? False Which is bigger: 2 or -139895? 2 Which is greater: 304 or 838? 838 Do 1 and -1/24245 have the same value? False Which is bigger: -54976 or -0.2? -0.2 Which is greater: -1047 or -1303? -1047 Does -1/113417 = -1? False Which is smaller: -0.69 or -3351? -3351 Which is smaller: -193568 or -193569? -193569 Are -0.57099 and 0 equal? False Which is greater: 4598 or 11? 4598 Which is smaller: 140/44931 or 0? 0 Is -47/1407 bigger than 0? False Are 11902 and 0.04 nonequal? True Are -67872/25 and -2715 unequal? True Is 1 >= -100/1477? True Which is bigger: 44 or 131? 131 Is -2684 > -2544? False Are 3254887 and 1 unequal? True Which is greater: 139789 or 419369/3? 419369/3 Is 6528 less than 6519?
{ "pile_set_name": "DM Mathematics" }
is the n'th term of -19189, -153495, -518065, -1228039, -2398557, -4144759, -6581785, -9824775? -19190*n**3 + 8*n**2 - 7 What is the k'th term of -102315, -101323, -100331, -99339, -98347? 992*k - 103307 What is the f'th term of 83582, 167086, 250576, 334052, 417514, 500962, 584396? -7*f**2 + 83525*f + 64 What is the q'th term of -10760, -10118, -9476, -8834, -8192? 642*q - 11402 What is the j'th term of 2227, 4614, 6997, 9376, 11751? -2*j**2 + 2393*j - 164 What is the i'th term of -1103, -2160, -3107, -3944, -4671, -5288? 55*i**2 - 1222*i + 64 What is the b'th term of -4167, -4940, -5841, -6870? -64*b**2 - 581*b - 3522 What is the p'th term of 49374, 191933, 429524, 762141, 1189778, 1712429, 2330088? -p**3 + 47522*p**2 + 1853 What is the j'th term of -322338689, -322338691, -322338695, -322338701, -322338709? -j**2 + j - 322338689 What is the q'th term of -61089, -244377, -549851, -977511, -1527357, -2199389? -61093*q**2 - 9*q + 13 What is the q'th term of -29634, -26717, -23800, -20883? 2917*q - 32551 What is the b'th term of -20296625, -20296619, -20296607, -20296589, -20296565? 3*b**2 - 3*b - 20296625 What is the y'th term of 2278, 4120, 7198, 11518, 17086, 23908, 31990? y**3 + 612*y**2 - y + 1666 What is the i'th term of -41483, -83336, -125189? -41853*i + 370 What is the n'th term of -808110, -1616227, -2424344, -3232461, -4040578, -4848695? -808117*n + 7 What is the i'th term of 4405, 10113, 15821? 5708*i - 1303 What is the c'th term of -96595, -193199, -289803, -386407? -96604*c + 9 What is the o'th term of 282730, 282743, 282778, 282847, 282962, 283135, 283378? 2*o**3 - o**2 + 2*o + 282727 What is the h'th term of -106399622, -425598485, -957596590, -1702393937, -2659990526, -3830386357? -106399621*h**2 - 1 What is the u'th term of -6763756, -6763752, -6763748, -6763744, -6763740, -6763736? 4*u - 6763760 What is the o'th term of 1418657, 1418649, 1418641? -8*o + 1418665 What is the p'th term of 34, -4648, -9332, -14018, -18706, -23396? -p**2 - 4679*p + 4714 What is the q'th term of 437, 25, -387, -799? -412*q + 849 What is the o'th term of 98393, 198045, 297697, 397349? 99652*o - 1259 What is the w'th term of -76415, -80552, -84689, -88826, -92963, -97100? -4137*w - 72278 What is the g'th term of 3841728, 3841731, 3841736, 3841743, 3841752, 3841763? g**2 + 3841727 What is the v'th term of -24, -237, -724, -1563, -2832? -13*v**3 - 59*v**2 + 55*v - 7 What is the h'th term of 11246, 49664, 115256, 208022, 327962? 13587*h**2 - 2343*h + 2 What is the w'th term of 1867853, 3735707, 5603561, 7471415, 9339269? 1867854*w - 1 What is the f'th term of 9710, 12424, 16954, 23306, 31486, 41500? f**3 + 902*f**2 + f + 8806 What is the p'th term of -19025, -37785, -56545? -18760*p - 265 What is the g'th term of -5759, -11621, -17833, -24569, -32003, -40309, -49661, -60233? -29*g**3 - g**2 - 5656*g - 73 What is the b'th term of 54097, 52149, 50199, 48247, 46293, 44337, 42379? -b**2 - 1945*b + 56043 What is the l'th term of -1820871, -1820878, -1820885, -1820892? -7*l - 1820864 What is the i'th term of 9182, 35835, 80256, 142445, 222402? 8884*i**2 + i + 297 What is the u'th term of -152000, -154205, -160190, -171845, -191060, -219725, -259730, -312965? -315*u**3 - 151685 What is the h'th term of 1976594, 1976517, 1976442, 1976369, 1976298? h**2 - 80*h + 1976673 What is the h'th term of -123873, -123481, -123089, -122697, -122305? 392*h - 124265 What is the u'th term of 686648, 1373228, 2059796, 2746346, 3432872, 4119368? -u**3 + 686587*u + 62 What is the k'th term of -12817, -13761, -14705, -15649, -16593, -17537? -944*k - 11873 What is the t'th term of 16094, 32175, 48256, 64337, 80418? 16081*t + 13 What is the d'th term of 286, 272, -32, -626, -1510, -2684? -145*d**2 + 421*d + 10 What is the p'th term of -282, -519, -912, -1461? -78*p**2 - 3*p - 201 What is the v'th term of 1112, 2093, 3078, 4067, 5060, 6057? 2*v**2 + 975*v + 135 What is the z'th term of -135998, -140220, -144442, -148664, -152886, -157108? -4222*z - 131776 What is the p'th term of -31212, -31125, -30772, -30021, -28740, -26797, -24060, -20397? 22*p**3 + p**2 - 70*p - 31165 What is the v'th term of 1140451, 2280922, 3421393, 4561864? 1140471*v - 20 What is the s'th term of -18062, -37647, -57232, -76817, -96402, -115987? -19585*s + 1523 What is the a'th term of 30062, 60436, 90810? 30374*a - 312 What is the i'th term of 9339561, 9339559, 9339557, 9339555, 9339553? -2*i + 9339563 What is the i'th term of -452346, -452359, -452374, -452391, -452410? -i**2 - 10*i - 452335 What is the b'th term of 57203, 51802, 46401, 41000, 35599, 30198? -5401*b + 62604 What is the r'th term of 4608658, 4608659, 4608658, 4608655, 4608650? -r**2 + 4*r + 4608655 What is the v'th term of -724048, -1447806, -2171564, -2895322, -3619080? -723758*v - 290 What is the i'th term of -326, 943, 3020, 5911, 9622, 14159, 19528? i**3 + 398*i**2 + 68*i - 793 What is the h'th term of 2385126, 2385132, 2385138? 6*h + 2385120 What is the q'th term of 2681176582, 2681176583, 2681176584, 2681176585, 2681176586? q + 2681176581 What is the d'th term of 53116, 106470, 160068, 213910? 122*d**2 + 52988*d + 6 What is the w'th term of -871, -1626, -2255, -2758, -3135? 63*w**2 - 944*w + 10 What is the t'th term of -1020, -689, -186, 489, 1336, 2355, 3546? 86*t**2 + 73*t - 1179 What is the j'th term of 264, 372, 390, 390, 444, 624? 12*j**3 - 117*j**2 + 375*j - 6 What is the k'th term of -40128540, -80257084, -120385628, -160514172, -200642716? -40128544*k + 4 What is the w'th term of 25078897, 50157795, 75236693, 100315591, 125394489? 25078898*w - 1 What is the g'th term of 87642, 175551, 263460, 351369, 439278? 87909*g - 267 What is the a'th term of -143294, -286058, -428824, -571592, -714362? -a**2 - 142761*a - 532 What is the q'th term of -26674, -26961, -27248, -27535, -27822? -287*q - 26387 What is the l'th term of 270213, 540469, 810729, 1080993, 1351261, 1621533, 1891809? 2*l**2 + 270250*l - 39 What is the v'th term of -23551412, -23551414, -23551416? -2*v - 23551410 What is the l'th term of 789, 5887, 19507, 45843, 89089, 153439, 243087? 699*l**3 + 67*l**2 + 4*l + 19 What is the g'th term of 551147, 2204590, 4960337, 8818394, 13778767, 19841462? g**3 + 551146*g**2 - 2*g + 2 What is the z'th term of 35417881, 35417898, 35417915? 17*z + 35417864 What is the w'th term of -8698, -21262, -33826? -12564*w + 3866 What is the h'th term of 16893, 16806, 16661, 16458, 16197, 15878, 15501? -29*h**2 + 16922 What is the k'th term of -1649, -1988, -2327? -339*k - 1310 What is the y'th term of -4378, -9591, -15710, -22729, -30642, -39443, -49126? y**3 - 459*y**2 - 3843*y - 77 What is the s'th term of -4283, -17905, -40855, -73133? -4664*s**2 + 370*s + 11 What is the s'th term of -4547, -37270, -126095, -299072, -584251? -4675*s**3 - s**2 + 5*s + 124 What is the g'th term of -46082, -46089, -46100, -46115? -2*g**2 - g - 46079 What is the y'th term of -7325193, -7325182, -7325155, -7325106, -7325029, -7324918? y**3 + 2*y**2 - 2*y - 7325194 What is the i'th term of 7501433, 7501436, 7501439, 7501442, 7501445, 7501448? 3*i + 7501430 What is the u'th term of -3544, -2659, -1774, -889, -4? 885*u - 4429 What is the s'th term of 1055, 1233, 1411, 1583, 1743, 1885? -s**3 + 6*s**2 + 167*s + 883 What is the c'th term of -2648686, -2648702, -2648736, -2648794, -2648882, -2649006, -2649172, -2649386? -c**3 - 3*c**2 - 2648682 What is the s'th term of 15995, 63930, 143797, 255596, 399327? 15966*s**2 + 37*s - 8 What is the t'th term of -55025, -110053, -165077, -220085, -275065, -330005, -384893, -439717? 2*t**3 - 10*t**2 - 55012*t - 5 What is the d'th term of -10132, -17154, -28858, -45244, -66312? -2341*d**2 + d - 7792 What is the d'th term of 46064385, 46064373, 46064361, 46064349? -12*d + 46064397 What is the p'th term of -36498, -74331, -112164? -37833*p + 1335 What is the f'th term of -980772, -980779, -980786? -7*f - 980765 What is the r'th term of -1010107, -1010076, -1010045, -1010014? 31*r - 1010138 What is the l'th term of -508501, -1016994, -1525487, -2033980, -2542473, -3050966? -508493*l - 8 What is the v'th term of 113363, 452920, 1018667, 1810604? 113095*v**2 + 272*v - 4 What is the c'th term of 2602, 5952, 10046, 14884, 20466, 26792,
{ "pile_set_name": "DM Mathematics" }
-y + 0 + 2*q + 2 + 3 wrt q. 2 Let u(y) be the first derivative of 7*y**6/6 + 5*y**3/3 - 8. What is the third derivative of u(p) wrt p? 420*p**2 Let x(m) = -5*m**4 - 14*m**2 + 5*m - 5. Let j(t) = t - 1. Let q(r) = 5*j(r) - x(r). What is the third derivative of q(k) wrt k? 120*k Let j(k) be the second derivative of k**5/20 - k**2/2 - k. Find the first derivative of j(d) wrt d. 3*d**2 What is the derivative of -274*b - 21*b**4 + 274*b - 13 wrt b? -84*b**3 Suppose o - 3 = 2. What is the second derivative of -2*l - 2*l + 7*l**5 - 11*l**o wrt l? -80*l**3 Let v = 4 - 1. Find the second derivative of 5*n + n + v*n**2 - n**2 wrt n. 4 Let y(j) = -j - 2. Let b be y(6). Let f = b + 14. Find the third derivative of 3*a**2 - 3*a**6 - 2*a**f + 2*a**6 wrt a. -360*a**3 What is the third derivative of f**6 - 190*f**3 + 190*f**3 + 4*f**2 wrt f? 120*f**3 Let q(h) be the second derivative of -h**7/42 + 7*h**5/60 - 4*h**2 + 3*h. Let u(b) be the first derivative of q(b). What is the third derivative of u(x) wrt x? -120*x Let l = -7 + 10. What is the third derivative of -w**2 - w**2 - 3*w**2 + 4*w**2 + 2*w**l wrt w? 12 Suppose -a = 5*s, 2*s - 26 = -5*a + 3*s. Suppose -3*f + a*l = -5*f + 29, 4*f - 4*l + 12 = 0. Find the first derivative of -5 + 1 + f*x + 2 wrt x. 2 Let r(v) be the first derivative of 2*v**6/15 - 2*v**3/3 + 7*v - 2. Let u(m) be the first derivative of r(m). Find the second derivative of u(o) wrt o. 48*o**2 Differentiate 11*v + 11*v - 55 + 13*v + v**2 wrt v. 2*v + 35 Let d(g) be the first derivative of -g**5/5 + 5*g**2/2 - 5. What is the second derivative of d(w) wrt w? -12*w**2 Let s(c) be the first derivative of c**8/56 + c**4/2 - 5*c - 10. Let u(y) be the first derivative of s(y). Find the third derivative of u(v) wrt v. 120*v**3 Let v(t) = -t**3 - 5*t**2 - 2*t - 6. Let r be v(-5). What is the second derivative of d + 6*d + 0*d + r*d**3 - 2*d wrt d? 24*d Let x(o) be the first derivative of -3*o**5/5 - 20*o**3/3 - 13. What is the third derivative of x(l) wrt l? -72*l Let r(f) be the first derivative of 18*f**5/5 - f**2/2 + 16. Find the second derivative of r(b) wrt b. 216*b**2 Suppose t = 1 + 1. What is the third derivative of 4*n**t + n**2 - 7*n**3 + 13*n**3 wrt n? 36 Let c be 6/(-18) - (-26)/6. Let b = -2 + c. Let s(k) = 3*k + 7. Let p(d) = d + 3. Let h(y) = b*s(y) - 5*p(y). What is the derivative of h(j) wrt j? 1 Let n(v) be the first derivative of -3*v**5/5 + 6*v + 2. What is the derivative of n(x) wrt x? -12*x**3 What is the third derivative of -r**6 + 25*r**2 - 45*r**2 + 24*r**2 wrt r? -120*r**3 Let m(u) = 15*u**3 + 29*u + 8. Let t(l) = -10*l**3 - 19*l - 5. Let z = 2 - 7. Let f(g) = z*m(g) - 8*t(g). Find the second derivative of f(o) wrt o. 30*o Let d(l) be the third derivative of l**5/15 + l**4/8 - 8*l**2. Find the second derivative of d(q) wrt q. 8 Let y = -4 + 6. Differentiate 2 - y*p**3 - 1 - p**3 with respect to p. -9*p**2 Let c(t) = -7*t**3 + 13*t. Let l(f) = 8*f**3 - f**2 - 14*f. Let y(z) = 2*c(z) + 3*l(z). What is the second derivative of y(g) wrt g? 60*g - 6 Let h(f) = 36*f**4 - 6*f**2 - 41. Let t(x) = -108*x**4 + 17*x**2 + 122. Let l(d) = -17*h(d) - 6*t(d). Differentiate l(m) with respect to m. 144*m**3 Let q = -3 - 2. Let t be q/((-10)/(-4)) - -5. Differentiate -t*l + 2 + 2*l - l with respect to l. -2 Suppose 5*y - 3 = 4*y. Suppose -2*x = 5*n - 14, 0 = 3*n - 0*x - y*x. Find the second derivative of -5 + n*c**2 + 5 - c wrt c. 4 Let y(g) = g**3 - 2*g. Let t be y(2). Find the second derivative of -t*o**3 + o - 3*o + 0*o wrt o. -24*o Let y(i) = -56*i**3 + 2*i**2 + 4*i - 9. Let t(q) = -168*q**3 + 7*q**2 + 12*q - 27. Let h(u) = 2*t(u) - 7*y(u). Find the second derivative of h(p) wrt p. 336*p Let k be 2/5*(0 + -10). Let z = -2 - k. Find the first derivative of z*x + x**3 - 2*x - 1 wrt x. 3*x**2 Let u(x) be the third derivative of 0*x + 1/12*x**4 + 0 + 1/30*x**5 - 2*x**2 + 0*x**3. What is the second derivative of u(y) wrt y? 4 Let o(q) = q**3 - 3*q**2 - 2*q - 4. Let a be o(4). What is the third derivative of 11*u**2 + 141*u**4 - 146*u**a - 4*u**2 wrt u? -120*u Let c(m) be the first derivative of -2*m + 0*m**3 + 0*m**2 - 3/5*m**5 - 9 + 0*m**4. Find the first derivative of c(t) wrt t. -12*t**3 Let x(h) = 16*h**5 - 26*h**2 - 2. Let r(n) = -32*n**5 + 53*n**2 + 4. Let g(t) = 2*r(t) + 5*x(t). What is the third derivative of g(y) wrt y? 960*y**2 What is the derivative of 0 - 3 + 0 + 6*z**2 - 7 wrt z? 12*z Suppose -4 = -d - 2. Suppose -3*c + d = -2*c. Find the first derivative of 0*t + c + t**2 + 0*t wrt t. 2*t Suppose 3*w + 5*l = 7, -5*l = -5*w + 26 - 1. Find the second derivative of -7*q + w*q**3 - q**3 - 2*q**3 wrt q. 6*q Let p(q) be the third derivative of -q**6/10 + q**4/2 + 3*q**2. Find the second derivative of p(d) wrt d. -72*d Let t(a) = a. Suppose -3*z = -z + 4*n - 4, -11 = -3*z - n. Let x(o) = 5*o**2 + 4*o + 2. Let m(w) = z*t(w) - x(w). Find the first derivative of m(u) wrt u. -10*u Let p(g) = 6*g + 44. Let c be p(-7). Let s(t) be the first derivative of 2*t - 1 - 3/2*t**c. Find the first derivative of s(m) wrt m. -3 Let s(b) be the second derivative of -b**9/15120 + b**7/1260 + b**4/12 - b. Let a(y) be the third derivative of s(y). Find the third derivative of a(t) wrt t. -24*t Find the third derivative of -7*l**2 + 6*l**2 + 12*l**2 + 10*l**6 wrt l. 1200*l**3 Let f(x) = 7*x**5 - 3*x**2 + 2*x + 2. Let u(t) = t**2 + t + 1. Let q(h) = -f(h) + 2*u(h). Find the third derivative of q(m) wrt m. -420*m**2 Suppose 3*r + 2*r = 0. Let v be (-23)/(-7) + 10/(-35). Differentiate 3*c + r*c - v - 3*c - 5*c**3 with respect to c. -15*c**2 Let j(m) be the third derivative of -2*m**5/3 + 47*m**3/6 + 6*m**2. Differentiate j(s) wrt s. -80*s What is the third derivative of 2*y**4 - 16*y**2 + 2*y**2 + 19*y**4 wrt y? 504*y Let k(y) = 13*y**4 - 2*y**2 + 6. Let w(t) = -t**4 - t**2 - 1. Let h(q) = -k(q) - 6*w(q). Find the third derivative of h(p) wrt p. -168*p Let v(i) be the first derivative of -2*i**3 - i**2 + i - 4. Let h(n) = -19*n**2 - 7*n + 3. Let u(m) = -2*h(m) + 7*v(m). Find the first derivative of u(a) wrt a. -8*a Suppose 3*l - 15 = 0, 4*l - 2*l = -3*a + 34. Find the second derivative of a*n**4 + 5*n - 4*n - 2*n**4 + 3*n wrt n. 72*n**2 Find the second derivative of -27*n + 60*n - 13*n**2 - 7*n**2 wrt n. -40 Suppose -22 = -3*v + 4*q, 2*v + 8 = -0*q - 3*q. What is the first derivative of -h**3 + 1 - 3 - v*h**3 wrt h? -9*h**2 Let d(k) = -k + 1. Let j be d(1). Find the first derivative of j*i - 4 + 2*i + 0*i + 1 wrt i. 2 Let n(d) be the third derivative of d**10/5040 - d**6/180 - d**3/2 + d**2. Let p(s) be the first derivative of n(s). What is the third derivative of p(f) wrt f? 120*f**3 Let q(d) be the first derivative of -26*d**3/3 - 23*d - 24. What is the derivative of q(t) wrt t? -52*t Find the second derivative of 59*r**4 - 8*r + 3 + 7*r - 2*r - r wrt r. 708*r**2 Let x(b) = -7*b**3 - 11*b**2 - 12. Let p(n) = 2*n**3 + 3*n**2 + 3. Let d(k) = 22*p(k) + 6*x(k). Differentiate d(g) wrt g. 6*g**2 Find the second derivative of -11*j**2 - 20*j + 4*j**2 + 7*j**2 - 5*j**3 wrt j. -30*j Let t(k) be the second derivative of 2*k**7/7 - 7*k**3/3 - 27*k. Find the second derivative of t(c) wrt c. 240*c**3 Find the second derivative of -12*c**5 - 23*c - 4*c**5 - 2*c**5 - 5*c**5 wrt c. -460*c**3 Let w(z) be the third derivative of -z**7/840 + z**5/40 - z**4/8 + 4*z**2. Let t(g) be the second derivative of w(g). Differentiate t(p) with respect to p. -6*p Let l(f) be the second derivative of f**6/20 - f**5/20 - 3*f**2 - 2*f. Let s(p) be the first derivative of l(p). Find the third derivative of s(x) wrt x. 36 Suppose -1 = m - 5. Find the second derivative of f**4 + 2*f + f**4 - 4*f**m wrt f. -24*f**2 Let k(m) be the second derivative of m**9/1008 + m**6/120 + m**3/3 - m. Let b(n) be the second derivative of k(n). What is the third derivative of b(u) wrt u? 180*u**2 Suppose 20 = 4*s + 4. Suppose 5*a - 24 = -2*k, 0 = -s*k + 5*a - 10 - 2. Differentiate n**4 + n**4 - k + 0 with respect to n. 8*n**3 Suppose -4*l = -1 - 15. Let r be (-2)/7 - l/(-14). What is the first derivative of -4*x + r - 1 + 5*x wrt x? 1 Let f be ((-10)/(-15))/((-2)/6). Let y be (-8)/(-16) - 7/f. What is the first derivative of -c**y + 0*c**4 - 2*c**4 - 1 wrt c? -12*c**3 Let q(l) = -19*l**2 - 9*l - 4. Let n(
{ "pile_set_name": "DM Mathematics" }
-1. 8*sqrt(7) + 1788 Simplify (sqrt(171) + sqrt(171) + 1 + sqrt(171) - (-1*sqrt(152))/sqrt(8) - (5 + 1*sqrt(475) + sqrt(475)))**2. 16 Simplify -3 + (1*((sqrt(3) - sqrt(75)) + 1))**2 - (sqrt(243)*-2*-3 + -3). -62*sqrt(3) + 49 Simplify (sqrt(5) + sqrt(45)/(sqrt(9) + sqrt(18)/sqrt(2)) - (5 + sqrt(20)/sqrt(4)) - (sqrt(20)/(sqrt(4) - -2*sqrt(4)) - (sqrt(25)*3 - sqrt(25))/sqrt(5)))**2. -65*sqrt(5)/3 + 1745/36 Simplify sqrt(190)/sqrt(360)*-2 - ((sqrt(171) + -3*sqrt(171))*-6)/sqrt(9). -37*sqrt(19)/3 Simplify (-2 + -3*((sqrt(1331) - (-1*sqrt(1331) + -3)) + sqrt(1331)*-4*-3))**2. 10164*sqrt(11) + 2348005 Simplify (-6*(2 + sqrt(847)*-2*6)*-3*-6)**2. -6158592*sqrt(7) + 1422681408 Simplify ((sqrt(396) - 2*sqrt(396)*-1) + 4)**2 + (((-2*sqrt(396) + sqrt(396))*3 + sqrt(396))**2 - ((sqrt(396)*2)**2 + -3)). 144*sqrt(11) + 3583 Simplify (3 + -1 + sqrt(28))**2 + -2 + (sqrt(1008)*2)**2. 8*sqrt(7) + 4062 Simplify (4 + sqrt(275) - (-3 + sqrt(11) + -2)) + (-3*(-2 + sqrt(891)))**2. -320*sqrt(11) + 8064 Simplify 3*(-5*sqrt(684) + 4 - sqrt(684)*4*6). -522*sqrt(19) + 12 Simplify -6*(sqrt(2) - ((sqrt(4) - (sqrt(64) - sqrt(4)))/sqrt(2))**2 - 1*sqrt(72))*-6. -288 - 180*sqrt(2) Simplify (-1*sqrt(1400)*1)/((sqrt(7) - sqrt(28)/sqrt(4)*4) + sqrt(7) + 2*(sqrt(63) - sqrt(7))). -5*sqrt(2) Simplify (2*sqrt(605) - sqrt(605))**2 - sqrt(80) - 1*(sqrt(5)*-1 + 2)**2. 596 Simplify ((sqrt(95) - -2*sqrt(95)*2)/sqrt(5) - (0 + sqrt(19) + -3 + sqrt(1900) + -1))**2. -48*sqrt(19) + 700 Simplify (sqrt(38)/sqrt(2)*2 + sqrt(19) + -2*sqrt(2736) - (sqrt(304) + 1 - (1 + sqrt(19) + 3)))**2. -144*sqrt(19) + 10953 Simplify (1*2*sqrt(1000))/(sqrt(200)*2 - 5*sqrt(8)). 2*sqrt(5) Simplify 5*((sqrt(91) - (sqrt(91) + sqrt(91) + (sqrt(91) - -2*sqrt(91)) + sqrt(91) - sqrt(91)))*2 + sqrt(91) + sqrt(91)*2*4)/(-2*sqrt(343)*-2). 5*sqrt(13)/28 Simplify (sqrt(55)/(sqrt(44)/sqrt(4))*-1 - sqrt(25)/((sqrt(5) - -4*(sqrt(5) + sqrt(35)/sqrt(7))) + sqrt(5)))**2. 121/20 Simplify (sqrt(91)/(sqrt(7) + sqrt(14)/sqrt(2)*5))**2 - -5*1*sqrt(1053). 13/36 + 45*sqrt(13) Simplify 1 + (-3*(2 + -3 + sqrt(396) + sqrt(396)*-2 + sqrt(396)))**2. 10 Simplify (3 + 1 + sqrt(832) + -1)*-6 + 3. -48*sqrt(13) - 15 Simplify (2*(-5*sqrt(187)*1 + sqrt(187)))/(sqrt(275) - ((sqrt(275) - sqrt(275)*-1 - sqrt(275))*-3 + sqrt(275))). -8*sqrt(17)/15 Simplify 4 + (((sqrt(150)*1 - sqrt(150))/sqrt(5))/((sqrt(42)*-2)/sqrt(7)))**2 + -1. 3 Simplify (sqrt(2268)*-1 + -5 - (sqrt(2268) - (-2 + sqrt(2268) - sqrt(2268))*-6))**2. -504*sqrt(7) + 9121 Simplify ((sqrt(190) + sqrt(190)*4)*-3 + sqrt(190))/(-1*(sqrt(10) - 2*sqrt(10))). -14*sqrt(19) Simplify (sqrt(35)/(sqrt(5)*-1*6)*-5*5*-1)**2. 4375/36 Simplify ((sqrt(156) + 1*sqrt(156)*-1)*-5)/(sqrt(588) - -5*1*sqrt(588)). 0 Simplify (-4*((sqrt(1900) + 1)*2*5 + sqrt(1900)*-2 + -3 + -4))**2. 7680*sqrt(19) + 1945744 Simplify sqrt(42)/(sqrt(216)*-6) - sqrt(84)/(sqrt(12) + 2*sqrt(84)/sqrt(7) - sqrt(12)). -19*sqrt(7)/36 Simplify 4 + ((sqrt(14)/sqrt(2) + 1)**2 + 2 - (sqrt(56) - (sqrt(56) - 2*sqrt(224)))/sqrt(8)). -2*sqrt(7) + 14 Simplify -4*sqrt(605) + sqrt(50)/(4*sqrt(10) - sqrt(10) - sqrt(10)) + 1. -87*sqrt(5)/2 + 1 Simplify (-1 + sqrt(252) + 3 + (sqrt(252) + -1)*-4)**2. -216*sqrt(7) + 2304 Simplify -3 + (sqrt(17) - sqrt(612))*3 + sqrt(17) + -5 + 4 + -1. -14*sqrt(17) - 5 Simplify sqrt(1088) + (sqrt(1088) + sqrt(1088) + 1)*6 + (sqrt(1088) + 1 - sqrt(1088)) + 0 + (sqrt(119)/sqrt(7) + 2 - (sqrt(17) + -1 + sqrt(17))*-3)**2. 90*sqrt(17) + 841 Simplify (6*(3 + (sqrt(475) + -1)*-4) + -2)**2. -9600*sqrt(19) + 275200 Simplify ((sqrt(117) - (sqrt(117) - 4*-1*sqrt(117)))/sqrt(9) - (sqrt(832) + 5 + 1*sqrt(832)))**2. 200*sqrt(13) + 5225 Simplify -3*((sqrt(190)*-3 - sqrt(190))*-4)/sqrt(10) + -2. -48*sqrt(19) - 2 Simplify (3*sqrt(2299)*-1 - ((-2*sqrt(2299) + sqrt(2299) - sqrt(2299))**2 + -5)) + (sqrt(2299) - (sqrt(2299) + 2*sqrt(2299)*-1) - (-1 + -1 + sqrt(2299)))**2. -6888 + 11*sqrt(19) Simplify ((-5*(sqrt(90)*-1 - sqrt(90)))/sqrt(10))/(sqrt(243)*2*-5). -sqrt(3)/9 Simplify 6*sqrt(76)/sqrt(4) - (-2 + (sqrt(684))**2) - ((sqrt(19) + 0 + 2)**2*3 + -5). -746 - 6*sqrt(19) Simplify (-6*-1*sqrt(77)*4)/(-1*sqrt(7)*1 + (-1*sqrt(112) - sqrt(112))) + 4. -8*sqrt(11)/3 + 4 Simplify (sqrt(2052)*5)/(sqrt(27)/sqrt(144)). 120*sqrt(19) Simplify ((sqrt(96)*-5 + 1*(sqrt(96) - sqrt(24)))/(sqrt(96)/(sqrt(108)*-1)))**2. 2187 Simplify ((2 + sqrt(475))**2 - (-2*sqrt(152))/sqrt(8)) + -5*(sqrt(19) + 3*sqrt(19))**2*-1. 22*sqrt(19) + 1999 Simplify (5*(3 + sqrt(275)) + 1*(1 + sqrt(275)) + -5)**2. 660*sqrt(11) + 10021 Simplify sqrt(171)/(sqrt(324) + 2*sqrt(324) + sqrt(324)) - (-6*sqrt(1900)*2 - sqrt(1900))**2. -321100 + sqrt(19)/24 Simplify ((3*sqrt(85)*-3)/(sqrt(240)/sqrt(3)))**2 + 2. 1409/16 Simplify 5 + (sqrt(343)*3 + sqrt(7) - (sqrt(700)*-1)**2) + -4. -699 + 22*sqrt(7) Simplify (sqrt(243) + sqrt(243) + (sqrt(243)*2 - sqrt(243))*1)/(1*sqrt(1089)*1 + sqrt(1089)). 9*sqrt(3)/22 Simplify (-1*3*-2*(sqrt(13) + sqrt(637))*-3)**2. 269568 Simplify -5 + -6*-4*(-1 + sqrt(704)) + 1 + 1. -27 + 192*sqrt(11) Simplify (-1*-1*sqrt(88))/(sqrt(72) + (sqrt(72) - (-1*sqrt(72) - sqrt(72)))). sqrt(11)/12 Simplify (-3*(1*sqrt(121) - sqrt(121)) + 2*sqrt(121)*1)/(sqrt(55)/((sqrt(300)/sqrt(6))/sqrt(10))). 2*sqrt(11) Simplify ((sqrt(396)*-1*-2)/sqrt(12))/(sqrt(132)/(2*sqrt(300))) + 5. 5 + 20*sqrt(3) Simplify (sqrt(1440) - (5*(-2*sqrt(1440) + sqrt(1440) - sqrt(1440) - sqrt(1440)) - sqrt(1440)))/((sqrt(200) + sqrt(200) + sqrt(200)*-1)*-5). -102*sqrt(5)/25 Simplify 0 + (sqrt(300)/((sqrt(30)*3)/sqrt(5)))**2. 50/9 Simplify -1*-5*6*(3*2*sqrt(156) + sqrt(156))/sqrt(12). 210*sqrt(13) Simplify 0 + sqrt(396) + 4 + -3 + -5 + (sqrt(891) - (sqrt(891)*-2 + 4)**2) + sqrt(891). -3584 + 168*sqrt(11) Simplify -4 + (sqrt(637) + -2)**2 + ((sqrt(936)*-1)/sqrt(2))**2 + -2 + 2. -28*sqrt(13) + 1105 Simplify (5*4*sqrt(88))/((sqrt(168)/sqrt(7))/sqrt(3)). 20*sqrt(11) Simplify 2 + (sqrt(605) - (sqrt(605)*1 + 1))**2 + sqrt(605)*1 + 4. 7 + 11*sqrt(5) Simplify (-3*(sqrt(448) + 0 + 4)*-3 + 1)*-5. -360*sqrt(7) - 185 Simplify 1 + (-3 + (0 + sqrt(2448))*4)**2 + 2. -288*sqrt(17) + 39180 Simplify -2 + (sqrt(17) - (sqrt(68) + -2)**2 - (sqrt(425)*4)**2). -6874 + 9*sqrt(17) Simplify 3*(-5 + -4*(0 + sqrt(1053) + sqrt(1053)) + (4*sqrt(1053)*2 - 6*(sqrt(1053) + 1)))**2. 3564*sqrt(13) + 114087 Simplify (sqrt(693)*2*-3 + sqrt(693) + sqrt(693))/(sqrt(44)/(sqrt(4)*-1)). 12*sqrt(7) Simplify -4 + 3*(2*sqrt(3200))/(4*sqrt(10)*-3). -4*sqrt(5) - 4 Simplify (sqrt(3200)*-2)**2 - (-3 + sqrt(1250))**2. 150*sqrt(2) + 11541 Simplify (sqrt(5) - ((sqrt(160) - sqrt(40))/sqrt(8) - sqrt(5))**2) + (1*sqrt(55))/sqrt(11) + (3 + sqrt(5) + sqrt(35)/sqrt(112))**2 + -5 + 2. 221/16 + 19*sqrt(5)/2 Simplify (5 + (sqrt(1700) - (-2*sqrt(1700) + 0)))**2 + 4. 300*sqrt(17) + 15329 Simplify (sqrt(2700) + -4*sqrt(2700)*-2)/(sqrt(18)/((sqrt(72)/sqrt(3))/sqrt(12))). 90*sqrt(3) Simplify 5*((sqrt(66) + sqrt(66)*1 + sqrt(66))*6 + sqrt(66))/(-1*sqrt(48)/sqrt(8)). -95*sqrt(11) Simplify (sqrt(1375) + -1*sqrt(1375))/(sqrt(44)/sqrt(4)*-1). 0 Simplify (sqrt(512) + sqrt(512)*-2*-2 + sqrt(512))/(sqrt(64)*6 + (sqrt(4) - sqrt(256))). 48*sqrt(2)/17 Simplify ((sqrt(175) - ((-2*sqrt(175) - sqrt(175)) + -2))**2 + sqrt(175))*5 + (((1 + sqrt(175))*3)**2 - sqrt(175)) + (-3 + sqrt(175) + -1)**2. 470*sqrt(7) + 15795 Simplify (((sqrt(171) + sqrt(171)*-1 - sqrt(171)) + 0)*4 + -2 + sqrt(171) + 0 + 2 + 1 + sqrt(171))**2. -12*sqrt(19) + 685 Simplify 2 + 4 + (sqrt(32) - sqrt(2)) - (2*sqrt(8)*2)/sqrt(4). -sqrt(2) + 6 Simplify 4 + sqrt(153) + (sqrt(153) - (sqrt(153) + 0)**2) + sqrt(153)*-3*1. -149 - 3*sqrt(17) Simplify 0 + (((sqrt(24) - -1*sqrt(24)*-1) + sqrt(24))/(sqrt(648)*-1)*5)**2. 25/27 Simplify -4 + (sqrt(192)*-2*1)**2 - (-4 + sqrt(192) + 0 + -1). -8*sqrt(3) + 769 Simplify (-1 + (sqrt(132) - -2*(sqrt(132) - sqrt(132)*-1))/(-1*sqrt(27)))**2 + 4. 20*sqrt(11)/3 + 1145/9 Simplify (((sqrt(130) + (sqrt(130) - (2*sqrt(130) + sqrt(130)) - sqrt(130) - sqrt(130)) + sqrt(130))*5)/(sqrt(10) - -1*-2*sqrt(10)) + 1)**2. 20*sqrt(13) + 1301 Simplify (2*sqrt(4)*6)/(sqrt(2) - sqrt(2)*1*5) + (sqrt(216)/sqrt(9))/((2*sqrt(30))/sqrt(10) + sqrt(3)). -7*sqrt(2)/3 Simplify 4*sqrt(17)*5 + 2 + -5*sqrt(272)*-6. 2 + 140*sqrt(17) Simplify 1 + (1*sqrt(6050))/((sqrt(640) + sqrt(40))/sqrt(4)). 1 + 11*sqrt(5)/5 Simplify (sqrt(2) -
{ "pile_set_name": "DM Mathematics" }
+ 4*u**3 - 3*u**3 - 3*u**2 + 30 + 32 - 2*u**4 + 27 to the form i + r*u**4 + w*u**2 + k*u + c*u**3 and give r. -2 Express 45*z - 21*z + z**4 - 15*z**2 + 18*z**2 - 22*z + 48 in the form l*z**2 + y*z**3 + u*z + m + i*z**4 and give u. 2 Rearrange 34*u**3 - 132 - 117*u**3 + 85*u**3 to o*u**3 + k*u + l + r*u**2 and give l. -132 Express 47*r - 41*r - 61*r + 2 in the form v + u*r and give u. -55 Rearrange -16 - 19 + 15*y + 56 - 12 to x + i*y and give x. 9 Rearrange -16*a + 21*a - 215*a - 56*a to p + t*a and give t. -266 Rearrange (-25273 - 267*o**2 + 25273)*(o + 2*o - 2 + 4) to the form j*o**2 + b*o**3 + s + n*o and give b. -801 Express p**3 - 3*p**3 + 5 + 48*p - 47*p + (5*p**3 - 3*p**3 + 2*p**3)*(6 + 34 - 7) as g + a*p + i*p**2 + x*p**3 and give x. 130 Express 10*m - m + 0*m - 3*m - 24 - 9*m in the form l*m + q and give l. -3 Express -274 - 159*c + 274 + c**3 + c**3 - 4*c**3 - c**2 in the form h + w*c + k*c**2 + r*c**3 and give r. -2 Rearrange (1 - 1 + 3 - 7 + 3 + 0 + (0 - 3 + 2)*(-5 + 0 + 3))*(5*d - 40*d + 7*d) to the form l*d + q and give l. -28 Rearrange -3 + 3 + c**2 + 108*c**2 + 10*c**2 + 47*c**2 + (-2*c + 4*c + 0*c)*(6*c - 3*c - 5*c) to l*c**2 + a*c + y and give l. 162 Express (-19 - 3 + 3)*(3*a**2 + 21*a**2 - 7*a**2) as g*a + s*a**2 + m and give s. -323 Rearrange -118*n - 284*n - 490*n - 447*n + 150*n to the form y + k*n and give k. -1189 Express (-3*r + 2*r + 2*r + (2*r + 3 - 3)*(-1 - 1 + 5))*(-3*r + r + 5*r)*(-11*r**2 - 2*r + 2*r) in the form t*r**2 + p*r + n*r**3 + d*r**4 + m and give d. -231 Express 4 + 62*b + 204*b - 4 + 101*b as r + v*b and give v. 367 Rearrange 28 - 16 - 3*s**2 + 21*s - 21*s to the form w + m*s + k*s**2 and give k. -3 Rearrange 39*c**2 + 6 + 120*c**2 - 4 to k*c + s*c**2 + q and give k. 0 Rearrange (3 - 3 + 2*d)*(3 + 2 - 4)*(9 - 49 + 0) to w + a*d and give a. -80 Express 2*n**4 + n**4 - n**4 + (-73*n**2 - 62*n**2 + 56*n**2)*(25*n**2 - 3*n**2 - 9*n**2) in the form x*n**2 + i*n + s + l*n**3 + w*n**4 and give w. -1025 Express -y - 23 - 3*y - 2*y + 26 in the form j*y + o and give j. -6 Express -49*i**2 + 46*i**2 - 13 - 17 + 7 - 10 as y + f*i**2 + l*i and give y. -33 Express 2 + 52*b**4 + 0 + b + 13*b**2 - 56*b**4 as a*b + s*b**3 + r*b**4 + y*b**2 + g and give g. 2 Rearrange 662*m**2 + 8*m**3 + 8*m - 1319*m**2 + 657*m**2 to f*m**3 + y + z*m + l*m**2 and give z. 8 Express (248*w**2 + 9*w**3 + 248*w**2 - 497*w**2)*(-3 + 5 + 0)*(-4*w + 3*w + 2*w) in the form x*w**4 + s*w**2 + k*w + z + t*w**3 and give t. -2 Rearrange -43*l**2 + 2*l - 2*l - 3949 + 3*l**3 + 3952 to the form f + g*l**3 + t*l + j*l**2 and give j. -43 Express -v**2 + 0*v**2 + 3*v**2 + (-3 + 3 + v)*(3*v - 3*v - v) - 987943 + 3264*v**2 + 987943 as x*v + p*v**2 + s and give p. 3265 Rearrange (m + m - 3*m)*(-830*m + 1724*m - 612*m) to y*m**2 + j*m + l and give j. 0 Rearrange (-517*d**2 - 1468 - 47*d**2 + 1470)*(-3*d + 3*d + 3*d) to the form h*d**2 + n*d**3 + i*d + r and give n. -1692 Express -19*p - 9*p - 3*p + 16 - 13*p - 16 + (-4*p + 2*p + 0*p)*(3 + 1 - 2) as s + y*p and give y. -48 Express 14*j - 9*j - 8 - 26 - 3*j as i*j + u and give u. -34 Rearrange -75*z**2 - 60 - 77 + 148*z**2 + z - 118 - 71*z**2 to o*z + q + k*z**2 and give k. 2 Rearrange -152*m**2 + 44*m**2 + 1 - 6 - 6 + 5 to the form l + v*m**2 + p*m and give l. -6 Rearrange 70*f**2 - 305*f + 102*f + 106*f + 101*f to w + g*f + c*f**2 and give c. 70 Rearrange 26*s - 15*s**2 + 0*s - 25*s to the form r*s + q*s**2 + g and give r. 1 Express -4*x - x**2 + 2*x + 3*x + 40 - 40 - 6*x**2 + (-1 + x + 1)*(0*x - 2*x + 4*x) - 6 - x**2 + 3 + 2 in the form i*x**2 + k + j*x and give i. -6 Express 11*t**3 - 2*t**3 + 25*t**3 - 5*t**3 + 27*t**3 - 2 in the form r*t + f + u*t**3 + v*t**2 and give u. 56 Express (-r**4 - 2*r**4 + 2*r**4)*((-2 - 1 + 2)*(-10 + 0 + 0) + 0 + 5 + 0 + (0 + 5 - 3)*(-2 - 3 + 3)) in the form x*r**2 + a*r + q + l*r**3 + s*r**4 and give s. -11 Rearrange (19 - 8*j - 19)*((7 - 1 + 1)*(3 - 3 - 1) + 4 - 1 - 1)*(-3 + 0 + 6) to a + m*j and give m. 120 Rearrange -3*r - 2*r**4 + 341 + 306 - 619 to the form m*r + j*r**3 + q + t*r**4 + h*r**2 and give t. -2 Rearrange 3*r**4 - 1221 + 17*r**2 + 1221 + 5*r to the form y + m*r + d*r**3 + a*r**4 + p*r**2 and give p. 17 Express -38 + 48 + 198*q - 1499*q - 10 in the form l + h*q and give h. -1301 Rearrange 385*o + 118*o + 380*o + (-4 + 2 + 3)*(-1 + 2*o + 1) to v + q*o and give v. 0 Rearrange -31 - w**3 + 4*w**2 + 2*w**4 + 10*w**2 + 0*w**4 - 10*w**2 to h*w + q + k*w**2 + y*w**4 + m*w**3 and give m. -1 Express -27*l**2 + 28*l**2 - l**2 + 8*l + 9*l**4 + 2 - 2*l**3 in the form y*l**4 + t*l**3 + h + d*l**2 + o*l and give y. 9 Express 7*k**2 - 777*k**3 + 0 + 4*k**2 + 0 + 757*k**3 in the form b*k + o + p*k**2 + s*k**3 and give b. 0 Express (-z**4 - 3*z**3 + 3*z**3)*(392 - 627 - 735) as f*z**4 + j*z**3 + d*z**2 + m + s*z and give f. 970 Express (3*n + 2*n + 3*n)*(-2 + n + 2) - 47*n**2 - 16*n**2 + n**2 - n**2 - n**2 + 4*n**2 in the form v*n**2 + x + z*n and give x. 0 Rearrange -104*p + 19*p - 2 - 122*p - 109*p to the form j + h*p and give h. -316 Express 20 + 20 + 26 - 139*t - 66 as w*t + s and give w. -139 Rearrange 11 + 11 + 7*k + 4 - 2 - 4 to the form l + g*k and give l. 20 Rearrange (102 - 174 - 1143)*(-4 - 4*x + 4) to d*x + n and give d. 4860 Rearrange (24 - 74 - 65 + 13 + (-2 + 1 + 0)*(1 + 1 + 0))*(2 - 2 + 6*k**3) to the form v*k**3 + p + c*k + g*k**2 and give v. -624 Express 2*u**3 + 3*u**3 - 8*u**3 + (3*u**3 - u**3 - u**3)*(-24 - 72 + 61) as n*u**3 + k*u + w + r*u**2 and give n. -38 Express (0*n - 2*n - 4*n)*(5 + 0 - 7) + 5*n - 3*n - 3*n + n + 0*n + 0*n as d*n + k and give d. 12 Express (24*h - 24*h - 20*h**2)*(-2 + 2 - h) + 7*h**3 + 19*h - 19*h as z*h**3 + a*h + b + r*h**2 and give z. 27 Express -3*x - 10*x + 1 + 11*x - 77*x**2 + (2*x + 0*x - 4*x)*(1 - 1 + x) + 0*x + 0*x + x**2 in the form b*x**2 + q*x + w and give q. -2 Express 6*g**3 + 23*g**2 - 70*g**2 - 4 + 26*g**2 + 3*g**3 + 22*g**2 in the form l*g**2 + t*g + z*g**3 + u and give l. 1 Express (-8*h - 9*h - 2*h)*(-4*h + 0*h + 2*h)*(-3 + 0 + 2)*(-1 + 1 - 2) as x*h**2 + z + a*h and give x. 76 Rearrange 81*o**2 + 3*o**2 + 31*o**2 + 20*o**2 to k + h*o + z*o**2 and give z. 135 Rearrange (-102 + 126*a + 102)*(7 - 6 + 8)*(0 + 0 + 6) to j + k*a and give k. 6804 Rearrange (-4 + 4 + 3*p)*(-11*p + 7 + 8*p - 1) to the form w*p**2 + c*p + n and give c. 18 Express -2*k - 3 + 3 + (-5 + 3*k + 5)*(2 + 3 - 3) + k + k - k + 4 - 2*k - 4 + 4*k - k + 10*k in the form u + o*k and give o. 16 Express 3*w**2 + 0*w - 8*w**3 + w**4 + 0*w**4 + 2*w**4 + w + 6*w**3 in the form v + d*w**2 + i*w + n*w**3 + m*w**4 and give d. 3 Express 9 - 3*m**2 + 5*m - 3*m - 14*m**2 + 20*m**2 in the form f + h*m + r*m**2 and give h. 2 Express -28*g + 8*g**2 - g**3 - 4*g**4 - g - 7*g**2 + 7*g**4 + 0*g**2 - 2 as t*g**3 + m*g + k + n*g**2 + w*g**4 and give m. -29 Express -5*n - 87*n**3 + 7*n - 4*n as c*n**2 + i + t*n + q*n**3 and give q. -87 Rearrange (-222 - 79 + 128)*(-h - 1 + 1)*(h - h - 2*h) - h**2 + h**2 - h**2 to v*h**2 + q*h + x and give v. -347 Rearrange 0*f + 0*f + 3*f + (-3 + 3 + 1)*(0*f + 2*f - 4*f) - 4*f + 85*f + 61*f to r + d*f and give d. 143 Rearrange 6 - 3 - 3*r**4 + 9131*r + 15*r**2 - 9131*r to the form s + q*r + h*r**2 + g*r**4 + o*r**3 and give o. 0 Express (1 - 9*a**2 + a**2 - 86*a + 88*a)*(2*a + 15 - 15) in the form f + s*a**2 + y*a**3 + j*a and give s. 4 Rearrange (-2*x + 2*x - x + 5*x)*(146 - 17 + 102) to c + u*x and give c. 0 Express (40*m**2 - 15*m**2 + 9*m**2 + (2*m + 2 - 2)*(4*m - 2*m - 3*m))*(5 + 1 + 2) as y*m**2 + i*m + k and give y. 256 Express (139*w**3 - 11*w**3 - 72*w**3)*(-4*w + 0*w + 8*w) + (-1 + 1 - 2*w**3)*(2 + 0 - 3)*(0 + 0 + 4*w) as j + k*w**2 + y*w**4 + m*w + f*w**3 and give f. 0 Rearrange 16 + 0*l - 2*l**4 - 8 - 57*l**3 + 3*l**2 + 2*l - 5 to u*l**3 + w + t*l**2 + o*l**4 + x*l and give o. -2 Express (3 + 10 + 1 + (1 + 1 - 1)*(-3 + 3 + 2) + 4 - 2 + 0 + 1 + 2 - 5)*(4 + 2*q**2 - 4) in the form k + z*q + j*q**2 and give j. 32 Rearrange (2079*m**2 - 4322*m**2 - 13 - 2*m + 2158*m**2)*(-1 - 1 + 1) to the form i*m + g*m**2 + l and give g. 85 Rearrange 17*b + 19 - 4*b - b**2 - 7*b + 0*b - b to the form t*b**2 + x*b + m and give t. -1 Express 3*z**2 - z + 0*z - 4*z**3 + 2 + 7 + 5*z**3 in the form i*z**2 + y*z**3 + r*z + h and give r. -1 Expr
{ "pile_set_name": "DM Mathematics" }
qrt(99)*-1))/sqrt(9)) - (2 + (sqrt(560)*-5 - sqrt(35))/sqrt(7)*-3). -54*sqrt(5) - 2 Simplify -3 + (((sqrt(1008) - (2 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -1 - sqrt(1008))))) + (sqrt(1008) + 0 + sqrt(1008))*-2 + 3)*-3 + -1 + 1)**2. 81645 Simplify -4*(sqrt(1377) + -4*1*sqrt(1377) - (sqrt(1377) + (1 + sqrt(1377))*6) - (4 + -3*sqrt(1377) + -5))**2. -269992 - 2520*sqrt(17) Simplify (6*(sqrt(176) - -1*sqrt(176)) + sqrt(176) + 1 + -3 + 1 + sqrt(176) + -4*sqrt(176) + -4 + 5 + 4)**2. 320*sqrt(11) + 17616 Simplify ((2*(sqrt(72)*-3 + -1) + -1 + 3*sqrt(32)*-4)*2)**2. 2016*sqrt(2) + 56484 Simplify (5*(-3 + -6*(sqrt(304) + -2) - (sqrt(304) + ((-1 + sqrt(304))*-3 - sqrt(304)))*-4))**2. -75600*sqrt(19) + 2473425 Simplify (-3*(1*sqrt(1400) + sqrt(56) + sqrt(280)/(sqrt(20)/sqrt(4))))/(sqrt(40)/sqrt(5)*3 + sqrt(8) + -6*sqrt(8)*-3). -21*sqrt(7)/22 Simplify (1 + (1*sqrt(128) + -1)*2*1*-1 + 0)**2. -96*sqrt(2) + 521 Simplify (4*(sqrt(7) - sqrt(56)/(-3*sqrt(8) + sqrt(8)) - sqrt(7)*-2*3 - (sqrt(343) + -1 + -4 + -1)))**2. 96*sqrt(7) + 604 Simplify (sqrt(600)/(sqrt(972) + (sqrt(972) - 4*sqrt(972))) - (3 + sqrt(50))*6*-5)*-5. -13475*sqrt(2)/18 - 450 Simplify 5*(5 + sqrt(1573) + sqrt(1573) + -2 + 5) + (4 + 5*(sqrt(1573) + sqrt(1573) + sqrt(1573) + 0) + sqrt(1573) + -5)**2. -242*sqrt(13) + 402729 Simplify (((sqrt(76) + (sqrt(76) - (1*sqrt(76)*3 + sqrt(76))) - sqrt(76)) + sqrt(76))*6 - -5*-3*-2*sqrt(76))/(-3*1*sqrt(196) - sqrt(196)*-3*3). 3*sqrt(19)/7 Simplify -3*(-4 + -5 + (((-1 + sqrt(243))*-5)**2 - sqrt(243)) + sqrt(243) + 2*sqrt(243) + 0 + -2 + 5). -18282 + 1296*sqrt(3) Simplify (0 + sqrt(2) + 1 + 2 + 1*sqrt(162) + -5 + sqrt(4)/(sqrt(2) + sqrt(10)/(sqrt(10)/sqrt(2)) + sqrt(2)))**2*-2. -3916/9 + 248*sqrt(2)/3 Simplify 3 + 5 + (-2*(1*sqrt(396) - sqrt(396)))/(sqrt(18)/sqrt(18)). 8 Simplify (5*-1*sqrt(132)*-6*4)/((sqrt(60) + (sqrt(2160) - sqrt(60)))/sqrt(5) + sqrt(84)/sqrt(7)*-5). 120*sqrt(11) Simplify 6*(sqrt(99) - (sqrt(99) + -2) - sqrt(99)) + sqrt(99) + 1 + sqrt(99) + 2 - ((3 + sqrt(11))*-2 - (3*sqrt(396) + sqrt(11) - sqrt(11))). 21 + 8*sqrt(11) Simplify -4 + (sqrt(7) - sqrt(448))*-5 + 0 + (5 + sqrt(343) + sqrt(7) - sqrt(7)) + (sqrt(7) - 1*(sqrt(7) + 3))**2. 10 + 42*sqrt(7) Simplify 5*((3 + (1*sqrt(192) + -1 - sqrt(192)) + 3 + sqrt(192)*-6)*-4)**2. -38400*sqrt(3) + 554960 Simplify (-3*(-3 + (sqrt(68)*-1*2 - ((sqrt(68) - sqrt(68)*-2) + 4)))*2 + -4)**2*1. 4560*sqrt(17) + 62644 Simplify (1*(-2*-1*sqrt(490) - sqrt(490)))/(-3*sqrt(80)*-1 + (sqrt(80) - (sqrt(80) + sqrt(80) + 5*1*sqrt(80)))). -7*sqrt(2)/12 Simplify 3*(sqrt(57)/sqrt(48) + sqrt(19))**2*-4 + ((sqrt(950)/sqrt(2) - (-1 + sqrt(2736)))*-6)**2. -504*sqrt(19) + 132783/4 Simplify ((sqrt(150) + 3*1*sqrt(150))/((sqrt(110)/sqrt(2))/sqrt(11)))/((1*(sqrt(80) + sqrt(80)*2))/(-1*sqrt(200))). -20*sqrt(3)/3 Simplify -3*(-3 + sqrt(30)/(sqrt(72)/(-1*sqrt(12)))*-2)**2*6*-3 + -5. -648*sqrt(5) + 1561 Simplify (1*(1*sqrt(224) + sqrt(224))*3)/(sqrt(2) - (sqrt(40) + sqrt(10) + sqrt(10))/sqrt(5) - sqrt(8)/(sqrt(12)/sqrt(3))). -6*sqrt(7) Simplify -4 + (sqrt(1700) + -1 + 0)**2*5 + (2*sqrt(1700) + -2 - sqrt(1700) - (5*(1 + sqrt(1700)))**2). -34026 - 590*sqrt(17) Simplify (-4*sqrt(95)*2 - 5*sqrt(95)*-2)/(2*(sqrt(180) + 6*2*sqrt(180))). sqrt(19)/78 Simplify -4*2*(sqrt(1331)*-2*1 - sqrt(1331) - sqrt(1331) - (sqrt(1331) + 4)*-5)**2 + 1. -13847 - 3520*sqrt(11) Simplify ((sqrt(1088) - (-1 + -1*sqrt(1088)))**2 - (-3*(0 + sqrt(1088)))**2) + (5 + sqrt(153) - (sqrt(425) + -2)). -5432 + 30*sqrt(17) Simplify (4 + ((-2*sqrt(1584) + -3 + sqrt(1584) + sqrt(1584) - ((sqrt(11) + sqrt(11) + 1)*-1 - sqrt(99)/(sqrt(9) - (sqrt(9) - sqrt(144)))))**2 + -3)*5)*-4. -4599/4 + 180*sqrt(11) Simplify -5 + sqrt(192)*1 + sqrt(3) + (1 + 3*sqrt(3))**2 - (-3 + (-1*(sqrt(192)*-2 - sqrt(192) - sqrt(192)) - sqrt(192) - sqrt(192))*-1)**2. -754 - 81*sqrt(3) Simplify (4*sqrt(114)/(sqrt(6)*-2*2))**2*-4 - (-4*sqrt(228)*-1)/(sqrt(12) - 4*(sqrt(12) + -2*sqrt(12))). -76 - 4*sqrt(19)/5 Simplify 2 + (2*(sqrt(832) + (sqrt(832) - (sqrt(832) - (0 + -1 + sqrt(832) + sqrt(832) + sqrt(832)))) + sqrt(832))**2 - (2*sqrt(832) + -1 + -3)**2) + 2. -32*sqrt(13) + 38262 Simplify (((sqrt(126)*-1)/sqrt(3))/(-5*sqrt(6)*-1) - -4*(sqrt(1008) - 2*sqrt(1008)*2))**2. 3638887/25 Simplify (sqrt(468) + 3 + (sqrt(468) - (sqrt(468) + -1)) - (sqrt(468) + -1)*1)*-2 + ((4*sqrt(117)/sqrt(3))/sqrt(3) + sqrt(156)/(sqrt(108)*-4))**2. 27277/144 Simplify 5 + 2 + (-2*sqrt(91)*5)/sqrt(7) + -3 + (-4*(sqrt(1872) + 1))**2. 374*sqrt(13) + 29972 Simplify 1*(sqrt(11)*2*-1 - ((-1*sqrt(11) - sqrt(11)) + -2))**2 + (1*(sqrt(77) - sqrt(77)*1))/(sqrt(77)/(sqrt(22)/sqrt(2))). 4 Simplify (sqrt(126)/sqrt(3)*-1)/(sqrt(18)/sqrt(48)) + (sqrt(35)*-4)/sqrt(5) + (5*(sqrt(7) + sqrt(7)*4)**2 - sqrt(7)). -9*sqrt(7) + 875 Simplify (-4*(sqrt(72) + 1) - sqrt(50)*-2*-3)**2 + ((-1*-3*sqrt(22))/(6*sqrt(22)/sqrt(2)))**2. 432*sqrt(2) + 11697/2 Simplify -5 + (sqrt(800)*-1*3)/(sqrt(16)/((sqrt(576) - (sqrt(576) + -1*sqrt(576))) + sqrt(576))). -720*sqrt(2) - 5 Simplify ((sqrt(600) - 2*sqrt(600)*1)/(sqrt(12) + (sqrt(60) + sqrt(60)*-1)/sqrt(5)))/((sqrt(360) + 6*2*sqrt(360))*-5). sqrt(5)/390 Simplify (0 + sqrt(288) + sqrt(288) + -1 + sqrt(288) + -3)**2 - (-3 + (-2 + sqrt(2) - sqrt(2)) - sqrt(22)/sqrt(11)*-2)**2. -268*sqrt(2) + 2575 Simplify 2 + ((sqrt(1700) - (-3 + sqrt(1700))*-3 - (sqrt(1700) + -3 + sqrt(1700) + 4))*5)**2*5. -50000*sqrt(17) + 862502 Simplify (-3 + (2 + (4 + -1 + sqrt(833) - (sqrt(833) + 2 + 3)**2))*5)*6. -25608 - 1890*sqrt(17) Simplify 1 + ((sqrt(2448)*1 + 3 + (sqrt(2448) - (sqrt(2448) + sqrt(2448) + -1)*-6 - sqrt(2448)))**2 - (4 + sqrt(2448) + -2 + -1)**2). -960*sqrt(17) + 411273 Simplify (-3 + -1*(1 + sqrt(19)) - sqrt(76)/(sqrt(144)/sqrt(4) + sqrt(36)))**2 - ((sqrt(38)*-1)/sqrt(2) + -6*4*sqrt(19))*-5. -347*sqrt(19)/3 + 1507/36 Simplify 1*(sqrt(1573) - (sqrt(1573) + sqrt(1573) + 0 - sqrt(1573))*-2)*-2 - (((1*-1*sqrt(1573) - sqrt(1573)) + 1)*-2)**2. -25172 + 110*sqrt(13) Simplify (sqrt(13) + 3)*4 + (sqrt(13) - (sqrt(637) + 0)) - ((sqrt(1053) + -2 - sqrt(1053))*-5 + sqrt(1053) + -1)**2. -1122 - 164*sqrt(13) Simplify (((-1 + sqrt(1700) - sqrt(1700)) + -4)*5 - (-3 + -1 + (sqrt(17) - (-5 + sqrt(68)/sqrt(4))))**2)*1. -26 Simplify (-1*2*sqrt(99)*6*-2)/((sqrt(81)*1 + sqrt(9) + 1*sqrt(576))*6) + -2. -2 + sqrt(11)/3 Simplify 5 + (-5 + -2*sqrt(1008)*-3*-6 + -5 + 0 + sqrt(1008) + -6*(sqrt(1008) + 1) + -5)**2. 20664*sqrt(7) + 1694894 Simplify -3*1*-5*(((-1 + sqrt(425))*5 - (-3 + sqrt(425)*-1)) + 2)**2 + 0. 229500 Simplify (4 + (2*sqrt(119)*-1 + -1*2*sqrt(119))/((-3*sqrt(672))/sqrt(6)) + 3)**2 + -4. 14*sqrt(17)/3 + 422/9 Simplify (((sqrt(171)*1*5)/(sqrt(324) - (sqrt(324) + 1*sqrt(324))) + -1*-2*sqrt(76)*-1)*-6 + -5)**2. -290*sqrt(19) + 16004 Simplify ((sqrt(91) + 5*(sqrt(91) - sqrt(91)*1))/sqrt(7) - -1*(1 + sqrt(637)))**2 - (-1*(sqrt(13) + -1)*6 + (-2*sqrt(208) + -2)**2). -10*sqrt(13) - 9 Simplify 4*(2 + ((-2*sqrt(80))**2*-5 - sqrt(80)) + (sqrt(80) + ((2 + sqrt(80))**2*-5 - sqrt(80)))*-1 + -2). -4720 + 304*sqrt(5) Simplify ((5*sqrt(243) - sqrt(243)) + sqrt(243))*1 + 2 + (sqrt(30)/sqrt(10)*-3)**2 + (sqrt(3) - (sqrt(363) + -2))**2. 5*sqrt(3) + 333 Simplify (5 + (sqrt(500) - ((sqrt(500) + 2 - sqrt(500)) + sqrt(500))) + 2 + sqrt(720) - sqrt(20)/(sqrt(324)*-3)*2)**2. 3260*sqrt(5)/27 + 549605/729 Simplify 5 + ((sqrt(75)*-3)/sqrt(5))/(-1*(sqrt(5) + sqrt(180)))*3. 9*sqrt(3)/7 + 5 Simplify -6*(4*(sqrt(300) - -1*sqrt(300))**2 - sqrt(300) - (-1*sqrt(300) + 1)**2 - (-5 + 0 + sqrt(300) + -4)**2). -24708 - 1140*sqrt(3) Simplify (5*(5*(sqrt(300) + -1)*-4 + 1 + -4) + -4)**2. -162000*sqrt(3) + 3006561 Simplify ((((sqrt(70)*1)/sqrt(7) - sqrt(10))/sqrt(5) + -2)*-4)**2 - (-4 + (2 + sqrt(72))*4 + 2). -24*sqrt(2) + 58 Simplify (4*-1*(-2*sqrt(156)*1 + sqrt(156)))/(3*-2*sqrt(1452)*-1). 2*sqrt(13)/33 Simplify -5*((sqrt(931) + sqrt(931)*1*-3)*-3 + 4 + sqrt(931)*-3 + 4) + 1. -105*sqrt(19) - 39 Simplify (sqrt(77)*1*5 - -4*2*sqrt(77))/(sqrt(448)*1 + sqrt(7) + sqrt(7) + -1*sqrt(14)/sqrt(2)). 13*sqrt(11)/9 Simplify ((2*(-2 + sqrt(208)) - sqrt(208))**2 - sqrt(208)) + (1*(1 + sqrt(208)))**2 - (5 + ((3 + 0 + sqrt(208))**2 - sqrt(208) - sqrt(208))). -44*sqrt(13) + 211 Simplify 4 + (-2*(sqrt(475) + 0 + -1))**2 - -2*(sqrt(76)*1 + 3 + 3)**2. 8*sqrt(19) + 2132 Simplify (-6*(sqrt(95) +
{ "pile_set_name": "DM Mathematics" }
3*w, 3*w - 2*t - h = 0 for w. 4 Let n be (-4)/18 + 8/36. Let v(b) be the first derivative of -b**3/3 + 2*b + 1. Let z be v(n). Solve -5*w + 25 = 5*g, -z*w - g + 5 = -0*w for w. 0 Let d(z) = -z**2 - 8*z + 4. Let a be d(-8). Suppose -1 = -v - 3*c, 1 = -0*v - v - a*c. Let b = v - 4. Solve 8*f = b*f - 5, -4*k = -5*f - 1 for k. -1 Let u(i) = 1 + 4*i + 3*i - 2*i - 4*i**2 - i**3. Let m be u(-5). Suppose m = r - 2. Solve 0 = r*a, -4*g + 2*a + 5 = g for g. 1 Let t = -26 - -37. Let g = 9 + -5. Suppose a - t = 2*a - 4*o, 0 = 5*a + g*o - 41. Solve 0 = -5*f - a, -5*n - 4*f + 5 = -2*n for n. 3 Suppose -h = -q - 5*h - 18, 0 = 5*q - 5*h - 35. Let r = q - 0. Suppose -45 = r*x - 3*x. Solve o - 21 = 5*l, -2*o - 3*o - x = 5*l for o. -4 Let d(s) = s**2 + s - 3. Let w be d(0). Let b be (6/(-4))/(w/40). Let i be (-5)/(-2)*88/55. Solve -4*l - b = -0*r - 2*r, 0 = -i*r + 16 for l. -3 Let h be (-2 + -1)*17/(-3). Solve h - 7 = -5*d + 5*o, 6 = d - 5*o for d. -4 Let y = 3 - 4. Let h(p) = -p**3 + p**2 + p + 1. Let d be h(y). Suppose 2 = -d*i + 6. Solve 28 = 2*q + 2*q - 4*t, -2*t = i*q - 2 for q. 4 Suppose -4*s + 2*s + 8 = 4*c, -4*s = 3*c + 4. Suppose -4*p + 8*p = -c*z + 72, -p = -2*z - 12. Solve t - 2 = l - 2*l, -4*l = -4*t + p for l. -1 Suppose 4*c - 2*v - 56 = -4*v, 3*v + 7 = c. Suppose 17 + 28 = -5*b. Let q = c + b. Solve -5*d - 25 = 0, 2*k - q*d - 20 = -k for k. 0 Let t(n) be the third derivative of -n**4/4 - 7*n**3/6 - 6*n**2. Let m be t(-4). Solve 3*z = -4*y + 1, 2*y + z + m = -4*z for y. 4 Let x be 3*(4 + (-11)/(-3)). Solve -4*a - x = 5*z + 1, 2*z = -4*a - 12 for z. -4 Suppose 0*s = s + z, 3*s - 5*z - 16 = 0. Solve 6 = s*o + 4*k + 24, -3*k - 6 = -o for o. -3 Let l(c) = -c**3 + c**2 + c - 1. Let u be l(0). Let v be u + (4 - 3 - -2). Solve -6*j - 14 = v*h - 2*j, 0 = j + 1 for h. -5 Let a be 9*(0 - 0 - -1). Suppose 2*v + a = -21. Let i be (-9)/(-27)*v/(-1). Solve -5*c - 30 = i*h, -h + 2*c = -3*c for h. -5 Let c be -19 - -8*1/(-2). Let t = c - -23. Solve 3*b = 4*d - t*b, -3*d = 2*b for d. 0 Suppose 0*d = -2*d. Let h(k) = -2*k - 10. Let j be h(-8). Let f(m) = -m**3 + 7*m**2 - 5*m - 1. Let b be f(j). Solve -2*s + d*s = -3*o + 18, 23 = -s + b*o for s. -3 Let v be 2/6 + (-24)/(-9). Solve 0 = 5*q + 2*j - 12, -v = -5*j + 2 for q. 2 Suppose 4*h - 21 = -1. Solve 0 = 5*l - h*v - 15, -5*l + 4*v - 3*v - 1 = 0 for l. -1 Let g = 46 + -35. Solve 3*x + g + 8 = 2*q, 5*q = -3*x - 5 for x. -5 Let i(q) = q**2 - 6*q + 1. Let g be i(8). Let r = 20 - g. Solve 0 = 2*o + 3*a + 4, -4*o - 8 = -4*a + r*a for o. -2 Let d = -11 - -10. Let i = 4 + d. Solve i*p - 3 + 15 = 2*w, -3*w = -5*p - 20 for w. 0 Let s(t) = 2*t**2 + t - 2. Let u be s(-2). Suppose -4 = -4*b - z, 0 = u*b + z - 3*z + 8. Solve 12 = -4*n + 2*l, 0 = -b*l + 3*l for n. -3 Suppose 5*x - 11 = 3*v - 5, 0 = -4*x + 4*v. Solve 16 = 5*i - i + 2*z, -x*i + z = -12 for i. 4 Suppose 6*a = 5*a + 2. Solve 3*u + 28 = 5*v, u - 3*u = a*v - 8 for u. -1 Let a(z) = -z**3 + 6*z**2 + 6*z - 5. Let i be a(5). Solve -5*y - 2*n = 15, -6*y + y + 5*n = i for y. -5 Let z(g) = 3*g**2. Let n be z(1). Let a(c) = c**3 - 5*c**2 + c - 3. Let w be a(5). Suppose 1 + w = x. Solve -t - n = -j, -t - 5*j = -x*t for t. -5 Suppose -4*k - 3 = 1. Let w be 5 - ((-1)/k - -1). Suppose 5*z + 12 = 2*x - 3*x, -w*x - 3*z = 0. Solve g - i + x = -0, 0 = 5*i + 10 for g. -5 Let c = 24 + -24. Suppose t = 3*w + 6 + 11, 2*w + 8 = c. Solve -a = -t, a + 7 = d + 2*a for d. 2 Let j be 2 - 2 - -2*1. Suppose j*w - 15 = -3*w. Suppose i + 1 - w = 0. Solve 3*t + 3 = -i*a, -5*a + 20 - 8 = t for a. 3 Suppose -3*a = -m - 2*a + 4, -2*a - 8 = 5*m. Suppose 0 = -m*p + 3*p - 6. Solve -5*d + 1 = -p*q, q - 1 = 4*d - 0 for q. -3 Let y(z) = -4*z - 23. Let s be y(-7). Solve -r - 8 = 3*d + 4, s*d + 21 = -2*r for d. -3 Suppose -2*f + 20 = -5*a, -4*f = -3*a + 5 - 17. Let g = -8 - -13. Solve -5*w + 10 + 0 = 0, -4*v - g*w + 6 = f for v. -1 Suppose 11 - 36 = 5*i. Let p = i - -5. Suppose 2*z - z - 3 = 0. Solve -5 = -z*b + b - n, p = -n + 1 for b. 2 Suppose 0 = -3*a - 3*r + 12, a + a - 5*r = -20. Solve a = 3*o - 3, -4*o = -2*s - 3*s - 14 for s. -2 Let c be -1 - 0 - 0 - -10. Suppose -5*h + c = -21. Let k = h - 4. Solve 3*r - k = b + 4*r, -2*b - 25 = -5*r for b. -5 Let u = 28 + -23. Solve -u*l - 10 = o - 2*l, -2*o = 5*l + 16 for o. 2 Let k be (-34)/8 + (-2)/(-8). Let o(y) be the first derivative of y**3/3 + 5*y**2/2 + 6*y + 2. Let h be o(k). Solve -2*v = 3*v - 4*m + 17, -2*v + h*m = 8 for v. -1 Let j be -9*-2*(-3)/(-9). Let h = 6 - j. Solve h = 4*k + 4*r + 12, 2*k = -2*k + r + 8 for k. 1 Let x(t) = -t - 2. Let l be x(-6). Solve 4*f = -4*g - 24, -g - 1 = -l*f - 0*g for f. -1 Let s be (-21)/(-4) - (-2)/(-8). Solve 0 = -5*o + 4*g - s, 3*o - 2*o - 3*g + 1 = 0 for o. -1 Let q(x) = -x - 4. Let r be q(-7). Suppose -4*i + 5 + r = 0. Solve -2*y = -2*a, -i*y = 4*a - 17 - 1 for y. 3 Let s = -2 - -1. Let x be (1/s)/(-1) + 1. Suppose 5*v = 46 + 29. Solve -5*w = -5*t - 4*w + v, -x*t = 4*w - 6 for t. 3 Suppose 4*k = 5*u - 23, -k - 17 = 2*u - 7*u. Suppose 3*l - u = 6. Solve 5*w - 19 + 8 = 2*o, 1 = 5*o - l*w for o. 2 Suppose 29*x - 4 = 28*x. Solve 0*c - 4*c - x*g = 0, 0 = 5*c - 4*g + 45 for c. -5 Suppose -2*c = -3*c + 5. Let g = c + -5. Solve g = q + 2*m - 3, q - 3 = -0*q - m for q. 3 Let s be 15/25*(84 - -1). Let l be s/9 - 4/6. Let o(w) = 9*w + 1. Let f be o(1). Solve 5*t - 1 - 1 = h, l*h + f = 3*t for h. -2 Suppose 3*g = 7 + 5. Let z(f) be the third derivative of -f**5/60 + 7*f**4/24 - f**3 - f**2. Let l be z(g). Solve -4 = 2*o, l*c + 4*o = 2*c - 12 for c. -1 Let a be (39/(-9) + 4)*-21. Solve -l - 5*z - 6 = 0, z + 2*z + a = -4*l for l. -1 Suppose -3 = -i - 5*n, 0 = 2*i - 0*n + 5*n - 11. Let o be (6/(-4))/(5/(-10)). Solve 0 = -4*l - 3*v + i, 3*l + o*v - 17 = -2*v for l. -1 Let s be (-52)/(-10)*10/4. Suppose 0 = -2*l - 0*l - 5*o - 7, -l = -3*o - s. Solve 5*k - 31 = -4*f, -2*f + l*k - 7 = -3 for f. 4 Let j be (2 - 0)*(-87)/(-6). Let n = 3 - 3. Suppose -u + 0*u + 3 = n. Solve -u*m + 16 = r, -6*r + 2*r + j = 5*m for m. 5 Suppose 2*q + 3*q = -4*y - 9, 3*q = y - 19. Solve -4*u - 8 = y*k - 0*u, 3*k + 4*u = -7 for k. -1 Let k(q) = q**3 - 10*q**2 + 8*q + 10. Let y be (-2 + 0 + 1)*-9. Let h be k(y). Let i = 1 - h. Solve 3*x + 18 = -5*r + 4, i = -2*r - 8 for x. 2 Suppose 0 = -2*d - d + u + 14, 3*d = -u + 10. Let m(k) = -k**2 + 14*k - 1. Let x be m(13). Let a = 31 - 1. Solve g = -2*p + x, 10*g + d*p = 5*g + a for g. 2 Let l be (-2)/(12/20 + -1). Suppose -3*x + 2*b = -2, 4*x - b - l = 6. Solve -5*p - x = -3*h, -p - 15 = -4*p - 4*h for p. 1 Let w = 17 - 15. Solve -3*t = 2*t - 25, -w*t = 2*x - 6 for x. -2 Let r be (3 - -2)*8/8. Solve -15 = -u + r*k, 5*k + 40 = -u - 3*u for u. -5 Let d(q) = -2*q - 15. Let i be d(-10). Suppose -6*y = -5*y - i. Solve 4*a = -y*x - 11, -x - 4*x - 20 = -5*a for x. -3 Let m = 4 + 7. Solve 3*x + m = -d, 3*d = 2*x + 3*x - 5 for d. -5 Let o(c) = 30 + 12 + 8 - c + 1. Let u be o(0). Let q = u + -24. Solve 13 = 3*m - 2*k, -2*k = 7*m - 2*m - q for m. 5 Suppose -5*y = -18 - 2. Let b be 36/(-16) + 1/y. Let u = b + 2. Solve -2*g - 1 = -w - 4, u = -3*g + 3*w - 3 for g. 4 Suppose 0 = -2*f + 5*f - 30. Solve 8 = 4*x + 5*p - 0*p, p - f = 2*x for x. -3 Let c(l) = l**2 - 2*l - 1. Let w be c(3). Let a = 9 + -7. Solve 0 = -2*q - 4, -a*f + 5*q + 0 + w = 0 for f. -4 Let t be (-7 + 5)*3/(-2). Suppose 2*n + 29 = -5*r, 3*n + 21 = -0*n - t*r. Let w be 0/(0 + -3 - n). Solve 5*i + 5*a + 10 = 0, w*a - 2*a - 4 = 0 for i. 0 Suppose 2*z + 25 = 7*z. Let b(s) = -s**3 + 4*s**2 + 7*s - 3. Let f be b(z). Solve -f - 20 = -u + 5*r, 0 = -5*u - 4*r - 10 for u. 2 Suppose -5*p = 1 - 21. Solve -2*b + 11 = -0*b - t, 0 = 3*b + p*t + 11 for b. 3 Let a(h) = 8*h. Let c be a(1). Let j = c - -3. Solve 5*z - 3*d + j = -9, 4*d = -2*z + 18 for z. -1 Let f be (0 + 4 + 1)*1. Solve 4*y = p - 3, -5*y + 4 = -f*p + 19 for p. 3 Let j = 9 + -7. Solve -3*v = -2*q + j + 15, 4*q = 4 for v. -5 Suppose 3*r - 2*x = -x - 7, 0 = 5*r + 3*x + 35. Let i be 0/(9/(-3)) - r. Let y = -2 + i. Solve -4*b = 4*k - b - 2, -y*b = 4 for k. 2 Let g(s) = s - 2. Let d be g(3). Solve 3*k - 12 = 3*u, -5*u = 4*k - 6 - d for u. -1 Suppose 21 = 3*p - 12. Solve -2*d = x + p, 0*d + 4*x = 3*d for d. -4 Let x be (24/(-20))/((-6)/20). Let t(n) = -n**3 + 6*n**2 - 3*n + 5. Let o be t(x). Solve d - 6*d - 30 = 5*j, -5*d
{ "pile_set_name": "DM Mathematics" }
nominator of w and (59/10)/((-14)/(-28)). 40 Let j = -6 + -1. Let l(k) = k**3 + 7*k**2 + 8. Let u = -1 + 4. Calculate the least common multiple of l(j) and u. 24 Suppose 0*a - 262 = -3*l + 2*a, -2*a + 82 = l. Suppose -3*b = -5*c + l, -18 = -2*c + 5*b + 24. Calculate the lowest common multiple of c and 20. 80 Let d(u) = -u**3 - 5*u**2 + 3*u - 4. What is the lowest common multiple of 8 and d(-6)? 56 Let v be ((-212)/(-9440))/((-6)/(-2152)). Let k = v - -8/177. Find the common denominator of k and 79/4. 20 Let d(s) = 0 + 8*s + 1 + s**2 - 11. Calculate the lowest common multiple of d(-10) and 3. 30 Let l = 6 + -8. What is the common denominator of l/(-12) - 539/33 and 27/10? 30 Calculate the common denominator of ((-1)/(-2))/(11/(-2)) and 3 + 13/(-14) - 2/4. 77 Suppose -5*h - 15 = -5*s, 2*h + 3 = s - 1. What is the common denominator of 83/4 and 0/s - 51/(-9)? 12 Let c = 31 + -21. What is the least common multiple of 20 and c? 20 Calculate the common denominator of (-183)/(-21)*(-28)/(-24) and 47. 6 Let t = 89/14 - -1. What is the common denominator of -3/10 and t? 70 Let j be (-3)/((-1836)/6819) - -2. Let n = 13235/4488 - j. Let q = n - 2/11. Calculate the common denominator of q and 51/4. 8 Suppose -r - 11 - 6 = -5*v, -2*v + 5*r - 7 = 0. Suppose -3*t = -v*t + 9. Calculate the smallest common multiple of t and 11. 99 Let q = -3 + 0. What is the common denominator of -87/8 and 963/(-189) + (-2)/q? 56 Let f = 2369 - 14135/6. Calculate the common denominator of -37/15 and f. 30 Let c(i) = i - 1. Let l(m) = m - 3. Let f(o) = 2*c(o) - l(o). Let u be f(3). Suppose 0 = -u*z - z + 35. What is the smallest common multiple of z and 7? 7 Let u = 632 + -9487/15. Calculate the common denominator of u and -53/33. 165 Let r = -624/5 + 123. Let u = 10997/9 + -1224. What is the common denominator of u and r? 45 Let l = 159 - 120. Calculate the lowest common multiple of l and 33. 429 Let q(r) = -2*r + 1. What is the smallest common multiple of 6 - (0 + (3 - -2)) and q(-1)? 3 Suppose 5*w - 31 + 11 = 0. Calculate the least common multiple of 6*(-2)/(-1) - w and 22. 88 Let p be 3/(-6) + 114/4. Suppose 0*z = 4*z - p. Suppose 0 = 4*u + z - 23. Calculate the least common multiple of u and 1. 4 Let y be (-1)/(-2) - 1/(-2). What is the common denominator of 2*(11/8 + y) and 23/9? 36 Calculate the common denominator of -117/10 and 105/40*36/15. 10 Find the common denominator of -11/12 and 6 + -3 - 131/20. 60 Let h = 14 - -19. What is the smallest common multiple of h/4*40/15 and 20? 220 What is the common denominator of (-100)/48*18/(-2) and -11/16? 16 Let b = -11 + -3. Let g be (92/b)/1 + 2. Let o = -411/28 + g. What is the common denominator of -63/2 and o? 4 Let m = -5 + 13. Suppose 4*i = b + 3 - 14, -13 = -b + 5*i. Calculate the smallest common multiple of b and m. 24 Let c = 1377/14 - 342/7. Calculate the common denominator of c and -83/4. 4 Let g(o) = o**2 + 2*o + 1. Let a = 1 - 5. Calculate the least common multiple of g(a) and 11. 99 Let l be 74/8*(-36)/(-3). Let m be -2 + ((-722)/l - 2). Let i = m - -1/222. Calculate the common denominator of i and -39/2. 2 Let b(k) = k**3 - 7*k**2 + 9*k - 6. What is the smallest common multiple of b(6) and 3266/207 - 2/(-9)? 48 Let v = -167089/18 - -9290. Suppose -2*r + 324 = 4*r. Calculate the common denominator of v and 87/(-2)*(-30)/r. 18 Let a = 13 + -11. Suppose 28 = 3*z + a*p - 6, -4*z - 4*p + 48 = 0. Calculate the lowest common multiple of z and 2. 10 Suppose -5*x + 51 + 99 = 0. Calculate the common denominator of 206/(-15) - (-12)/x and -57/4. 12 Suppose -2*l + 94 = 5*p - l, 0 = p - 2*l - 21. Let a = 40 - p. Let r = 35 - a. What is the least common multiple of 20 and r? 140 Let z = -57/7 + 9/14. Find the common denominator of z and (6/(-4) + 0)*6/(-144). 16 Suppose 0 = 7*q - 2*q - 20. Suppose -5*v - 1 = -q*v. What is the common denominator of -131/6 and (3/33)/v*20? 66 Suppose 0 = 3*h - 4*w - 20 - 10, 0 = -4*h - 2*w + 40. What is the least common multiple of 1 and h? 10 Calculate the least common multiple of 1 and (0 + -1 + -1)*(-11)/2. 11 Let g = -23/423 + 34627/30033. Let a = -5611/1420 - g. Find the common denominator of a and -145/6. 60 Let v(k) = -2*k**3 - k**2 + 7*k + 9. Calculate the least common multiple of 11 and v(-2). 77 Find the common denominator of -17/12 and ((-68)/(-2) + 1/(-2))*1. 12 Let n(m) = -m**3 - 12*m**2 + 9*m - 16. Calculate the smallest common multiple of n(-13) and 14. 252 Suppose -5*n - 4*b + 18 = 0, 13 = 3*n - 2*b - 11. Let g = 6 - 1. What is the lowest common multiple of g and n? 30 Let p be (9/(-6906))/(6/(-39515)). Let s = p - -2/3453. Find the common denominator of -49/22 and s. 132 Let t(y) = y - 3. Let f be t(6). Suppose -27 = 2*c - 5*q, f*c - c - 4*q + 24 = 0. Let w(o) = -5*o - 8. Calculate the smallest common multiple of w(c) and 18. 198 Let d(s) = -s**2 + 3*s + 9. Let r be d(-4). Let b = 27 + r. What is the smallest common multiple of b and 12? 24 Let a = -272221/20 + 13608. Calculate the common denominator of -17/32 and a. 160 Let v be 39690/(-3568) - (3 + -4). Let b = v + -1/892. What is the common denominator of b and -37/2? 8 Let t = 0 + 4. Suppose -3*w = 2*d + 3*d + 33, 3*d + 33 = -t*w. What is the lowest common multiple of 7 and w/(-2) + -1 + 2? 28 Let w(q) = q**3 - 3*q**2 + q - 1. Let d be w(3). Let s be d/(-8)*(-304179)/9. Let i = s - 8456. Calculate the common denominator of -11/14 and i. 84 What is the common denominator of (264/(-15) - -3)/(-4) and 67/60? 60 Suppose -2*b + 5*b + 15 = 0. Let d = -3 - b. Suppose -30 = -5*k + 8*h - 3*h, -d*k - h = 0. Calculate the least common multiple of 8 and k. 8 Find the common denominator of -99/20 and (-2)/(-9) - 551/90. 20 Let u = -6 - -4. Let a(b) = -b**3 - 2*b**2 + 2*b. Let d be a(-3). Calculate the common denominator of -5/9 and u/6 - d/(-2). 18 Suppose m = 6*m - 5. Calculate the smallest common multiple of 14/5*(-50)/(-20) and m. 7 Suppose 20 = 4*s + 2*l, 3*s + 0*l = -3*l + 21. What is the common denominator of (-2)/s*(-1566)/(-252) and -71/10? 70 Let k be -21 + -2 + 1/(-1). Calculate the smallest common multiple of 18 and (-3 - k) + -2 + 3. 198 Suppose -15 - 14 = -2*h + t, -5*t = h - 9. What is the lowest common multiple of h and 12? 84 Let m be 274/42 - 3/(-9). Let p be 0/(-2) + (-639)/84. Let u = m + p. Find the common denominator of u and 107/14. 28 Let q be (-1)/3 - (-39)/9. Suppose -x + 2*o + 28 = 4*o, -96 = -4*x - q*o. Calculate the smallest common multiple of x and (-1)/5 + (-33)/(-15). 20 Let w = 77267/11 - 7029. What is the common denominator of w and 41/6? 66 Suppose 10 = -4*x - 10. What is the common denominator of 27/4 and x/16*194/(-10)? 16 Let t(h) = -3*h**2 - 8*h - 5. Let q(d) = d**2 + d + 1. Let y(x) = 4*q(x) + t(x). Let o be y(5). Let j = o - 3. Calculate the lowest common multiple of j and 1. 1 Let v(j) = j**2 + 11*j - 26. Calculate the least common multiple of v(-14) and 14. 112 Suppose 0 = 3*r + 2*r. Let w = -17 + 27. Calculate the lowest common multiple of (r + -1*2)*-7 and w. 70 Suppose -5*a = -0*a - 240. Let i = 151/2 + -30. Calculate the common denominator of i and 0/(-2) - (-45)/a. 16 Suppose 5*p = 2*p. Suppose p = -h - 3, 6*y + h - 77 = y. Suppose t - 18 = -0. What is the least common multiple of y and t? 144 Let l(h) = h**2 - 7*h + 2. Let r be l(4). Let t = 24 + r. Calculate the least common multiple of t and 4. 28 Let a(m) = -m**3 + 6*m**2 - 4*m - 5. Let j be a(5). Suppose -z + j = -2. Suppose 0 = -6*o + z*o + 8. Calculate the lowest common multiple of 18 and o. 18 Find the common denominator of (246/(-4))/(15*-2) and -81/14. 140 Suppose 585 = 5*i - 1815. Let t = i - 66. Find the common denominator of 1/(-3)*t/8 and -26/5. 20 Let z(m) = m**3 - 12*m**2 + 20*m + 8. Suppose -5*v + 27 + 3 = 0. What is the lowest common multiple of z(10) and v? 24 Suppose 25*f - 17*f - 24 = 0. What is the lowest common multiple of 21 and f? 21 Calculate the common denominator of 19/2 and 10/36 - (3 - 4). 18 Let j = -5011/18 + 280. Find the common denominator of -61/9 and j. 18 Let l = 799/8 + -102. Calculate the common denominator of 131/6 and l. 24 Find the common denominator of (-166)/8 - 2/4 and (984/(-56))/(-2*(-5)/(-7)). 20 Let l = 25698/149 + -3378901/8940. Let k = -3256/15 - l. Find the common denominator of k and
{ "pile_set_name": "DM Mathematics" }
emainder when 6560 is divided by 1090. 20 What is the remainder when 4871 is divided by 47? 30 Calculate the remainder when 580 is divided by 87. 58 What is the remainder when 721 is divided by 56? 49 Calculate the remainder when 179 is divided by 52. 23 Calculate the remainder when 1419 is divided by 33. 0 Calculate the remainder when 390177 is divided by 130055. 12 Calculate the remainder when 2616 is divided by 4. 0 What is the remainder when 11224 is divided by 133? 52 What is the remainder when 2506 is divided by 43? 12 Calculate the remainder when 6366 is divided by 1585. 26 What is the remainder when 6772 is divided by 1337? 87 Calculate the remainder when 18257 is divided by 27. 5 Calculate the remainder when 87029 is divided by 44. 41 Calculate the remainder when 419013 is divided by 312. 309 Calculate the remainder when 11499 is divided by 1389. 387 What is the remainder when 49331 is divided by 209? 7 Calculate the remainder when 1205565 is divided by 21. 18 What is the remainder when 41151 is divided by 4110? 51 Calculate the remainder when 4296 is divided by 87. 33 What is the remainder when 429829 is divided by 213? 208 Calculate the remainder when 6813 is divided by 84. 9 Calculate the remainder when 13066 is divided by 132. 130 Calculate the remainder when 16975 is divided by 333. 325 Calculate the remainder when 5898 is divided by 62. 8 What is the remainder when 205155 is divided by 20? 15 Calculate the remainder when 26908 is divided by 18. 16 What is the remainder when 63102 is divided by 62966? 136 What is the remainder when 179207 is divided by 1236? 1223 Calculate the remainder when 17898 is divided by 7. 6 Calculate the remainder when 997 is divided by 229. 81 What is the remainder when 8009 is divided by 180? 89 What is the remainder when 358499 is divided by 118? 15 Calculate the remainder when 9701 is divided by 806. 29 What is the remainder when 2808 is divided by 38? 34 Calculate the remainder when 65199 is divided by 67. 8 What is the remainder when 1301632 is divided by 92? 16 What is the remainder when 22654 is divided by 15? 4 What is the remainder when 12031 is divided by 137? 112 Calculate the remainder when 437539 is divided by 13. 11 What is the remainder when 58345 is divided by 884? 1 Calculate the remainder when 17646 is divided by 104. 70 What is the remainder when 84223 is divided by 329? 328 Calculate the remainder when 120124 is divided by 877. 852 What is the remainder when 39763 is divided by 1981? 143 What is the remainder when 23572 is divided by 7826? 94 What is the remainder when 3371 is divided by 57? 8 What is the remainder when 1337254 is divided by 231? 226 Calculate the remainder when 9189 is divided by 22. 15 What is the remainder when 270225 is divided by 14? 11 What is the remainder when 24003 is divided by 286? 265 What is the remainder when 6581 is divided by 153? 2 What is the remainder when 3904 is divided by 229? 11 What is the remainder when 9623 is divided by 1922? 13 Calculate the remainder when 26333 is divided by 371. 363 Calculate the remainder when 16085 is divided by 27. 20 What is the remainder when 8603 is divided by 2147? 15 What is the remainder when 870 is divided by 39? 12 What is the remainder when 1002 is divided by 253? 243 Calculate the remainder when 80369 is divided by 92. 53 What is the remainder when 312735 is divided by 78181? 11 Calculate the remainder when 3472906 is divided by 1736449. 8 What is the remainder when 1234406 is divided by 1316? 1314 What is the remainder when 9694 is divided by 61? 56 Calculate the remainder when 16982 is divided by 37. 36 Calculate the remainder when 10286 is divided by 251. 246 Calculate the remainder when 209018 is divided by 61. 32 Calculate the remainder when 2184 is divided by 988. 208 What is the remainder when 43714 is divided by 34? 24 What is the remainder when 3971 is divided by 3210? 761 Calculate the remainder when 2358 is divided by 471. 3 Calculate the remainder when 33084 is divided by 269. 266 Calculate the remainder when 7737 is divided by 5941. 1796 What is the remainder when 265780 is divided by 22? 20 Calculate the remainder when 156169 is divided by 86. 79 Calculate the remainder when 25127 is divided by 25115. 12 What is the remainder when 620669 is divided by 373? 370 Calculate the remainder when 1606 is divided by 527. 25 What is the remainder when 1656 is divided by 210? 186 What is the remainder when 34105 is divided by 171? 76 Calculate the remainder when 5325 is divided by 5229. 96 Calculate the remainder when 42748 is divided by 14248. 4 Calculate the remainder when 3352 is divided by 1673. 6 What is the remainder when 2484 is divided by 1188? 108 What is the remainder when 349586 is divided by 129? 125 What is the remainder when 80164 is divided by 16030? 14 Calculate the remainder when 18625 is divided by 3103. 7 What is the remainder when 4031178 is divided by 49? 46 Calculate the remainder when 1294450 is divided by 353. 352 What is the remainder when 6018 is divided by 1408? 386 What is the remainder when 6416 is divided by 318? 56 What is the remainder when 2062 is divided by 2016? 46 Calculate the remainder when 221661 is divided by 221613. 48 What is the remainder when 218808 is divided by 54701? 4 What is the remainder when 19900 is divided by 108? 28 Calculate the remainder when 29426 is divided by 932. 534 Calculate the remainder when 9732 is divided by 486. 12 Calculate the remainder when 80463 is divided by 60. 3 Calculate the remainder when 11499 is divided by 3708. 375 Calculate the remainder when 29247 is divided by 276. 267 Calculate the remainder when 5737 is divided by 4986. 751 What is the remainder when 6125 is divided by 142? 19 Calculate the remainder when 669417 is divided by 4. 1 Calculate the remainder when 1012 is divided by 202. 2 Calculate the remainder when 5785 is divided by 1270. 705 What is the remainder when 12046 is divided by 3962? 160 Calculate the remainder when 2595 is divided by 111. 42 Calculate the remainder when 11479 is divided by 45. 4 What is the remainder when 24874 is divided by 29? 21 What is the remainder when 7621 is divided by 33? 31 What is the remainder when 245184 is divided by 20? 4 Calculate the remainder when 66050 is divided by 1159. 1146 Calculate the remainder when 49202 is divided by 43. 10 Calculate the remainder when 14806 is divided by 145. 16 What is the remainder when 78012 is divided by 55? 22 Calculate the remainder when 3573 is divided by 3559. 14 Calculate the remainder when 5998 is divided by 1972. 82 Calculate the remainder when 2748 is divided by 615. 288 What is the remainder when 43246 is divided by 8642? 36 Calculate the remainder when 2587 is divided by 74. 71 Calculate the remainder when 8799 is divided by 856. 239 What is the remainder when 4054177 is divided by 403? 400 Calculate the remainder when 221969 is divided by 154. 55 What is the remainder when 7971 is divided by 995? 11 Calculate the remainder when 10762 is divided by 128. 10 What is the remainder when 16829 is divided by 1684? 1673 Calculate the remainder when 16024 is divided by 356. 4 What is the remainder when 31241 is divided by 133? 119 What is the remainder when 12652 is divided by 330? 112 What is the remainder when 9970 is divided by 23? 11 What is the remainder when 4196 is divided by 186? 104 What is the remainder when 141132 is divided by 58? 18 Calculate the remainder when 557246 is divided by 485. 466 Calculate the remainder when 325 is divided by 45. 10 What is the remainder when 153450 is divided by 5683? 9 Calculate the remainder when 1292696 is divided by 34018. 12 What is the remainder when 5299 is divided by 5294? 5 What is the remainder when 461369 is divided by 1963? 64 What is the remainder when 6835 is divided by 245? 220 What is the remainder when 61078 is divided by 783? 4 What is the remainder when 224904 is divided by 202? 78 Calculate the remainder when 8925 is divided by 47. 42 Calculate the remainder when 6948 is divided by 3471. 6 Calculate the remainder when 7544 is divided by 167. 29 What is the remainder when 112916 is divided by 19? 18 Calculate the remainder when 228620 is divided by 10886. 14 What is the remainder
{ "pile_set_name": "DM Mathematics" }
e -4*v = 2*s + 10, -b*v + 5*s + 25 = -4*v for v. 0 Let a(f) be the first derivative of f**2 + f + 80. Let c be a(2). Solve -3*h - 16 = -2*l + 4, -c*l + 2*h + 28 = 0 for l. 4 Let r = -8851 - -8868. Solve 2*u - k - 9 = 0, 4*u + r = -4*k + 5 for u. 2 Let s be (-4)/6 - 34/(-6). Let p = -3059 + 3061. Solve -a + p*y - 12 = 0, -s*a - y = -2*y + 15 for a. -2 Let s = 11 - 13. Let q be (744/(-36))/(s/(-3)). Let b = q - -34. Solve 2*l - 16 = -4*k, 5*l + 6*k - b*k = 5 for l. -2 Let i be 172/36 - (-6)/27. Let t = 10 - 5. Suppose 5 = -c - g, 0*c = t*c - g - i. Solve u + 5*f + 9 + 7 = c, 36 = 5*u - 4*f for u. 4 Suppose -4*p = -6*p + 5*v + 31, -3 = -3*v. Suppose -p*h - 20*h = -152. Let s be (-1 - -4)*(-4 + 5). Solve -s*l = -0*i - 4*i + 8, l = h for i. 5 Let s = 33 - 31. Let l(q) = 6 - 2 + 54*q - 57*q + 3*q**2. Let t be l(s). Solve 4*o + 5*d = 14 + t, 3*d - 12 = 0 for o. 1 Let n be (-9)/((-81)/(-628)) - 6/27. Let r = 71 + n. Solve 0 = -q + r - 2, -3*q - 8 = 5*d for d. -1 Suppose 6*q + 40 = 10*q - h, -4*h - 16 = 0. Suppose -q*b = 20*b - 58. Solve 0 = -b*z - 10, -v - 5*z - 27 = -5 for v. 3 Suppose 182*r - 146*r = 0. Solve -2*c + 8 = -a, r*c + 4 = c + 3*a for c. 4 Suppose 1170*a - 1174*a = 5*n - 94, 44 = 4*n - 2*a. Solve 11*f - 20 = 2*h + n*f, -8 = 2*f for h. -4 Let q be 9 + 1 + -11 + 9. Let t = 6293 - 6285. Solve t = -5*f - 3*g, -3*f - g = 4*g + q for f. -1 Let h = -34 - -110. Let v = h + -74. Let g be 2/(-16)*v + 4/16. Solve a + 5*p = g, 0 = 2*a - a - 3*p - 8 for a. 5 Let t = 47568 - 47560. Suppose -2*v - 5 = -7*v. Let n be v + (-2)/(2/(-3)). Solve 0 = -2*z - t, z = -0*h + 2*h + n for h. -4 Let w(b) = 0*b**2 - 2*b**2 - 13*b + 8 - 2*b**2 - b**3 + 19*b. Let a be w(-5). Suppose 0 = -a*f - 38 + 44. Solve 0 = -f*p + 2*s, 5*s - 35 = -4*p + 2*s for p. 5 Let r = -328 - -328. Suppose -5*q - 2*c + 2 = r, 8 = -9*c + 7*c. Solve -2*i = -3*i - 4*v + q, -4*v + 10 = 5*i for i. 2 Let v(h) be the first derivative of -h**3/3 - 29*h**2/2 - 94*h - 71. Let k be v(-25). Solve -4*a - 7*u = -3*u + 32, -3*a + 3*u = k for a. -5 Suppose -3*i + 67 - 21 = -5*k, -4*k + 60 = 2*i. Solve 4*l = -2*c, -55*l = 5*c - 56*l - i for c. 4 Suppose 108 = -11*k + 69*k - 124. Solve -3*p - 5*m = 2, -1 = 5*p - k*p + 2*m for p. 1 Let w(h) = -h**2 - 41*h - 338. Let d be w(-16). Suppose -88 = -d*z + 284. Solve 0 = -5*x - 2*f + 11, 2*f - z = 3*x - f for x. 1 Let s(x) = x**2 + 5*x - 3. Let v be s(-5). Let l be -2 + -4*(2 + v). Solve 21 = -5*q - 3*d, -2*d - 14 = 2*q + l*d for q. -3 Suppose 0 = -3*v - 3, v + 60 = -2*c - v. Let w = c - -23. Let p be ((-18)/(-15))/(w/15*-1). Solve y + 2 = -p*r, -5*r - 6 = -y + 4*y for r. 0 Let q be (1*(0 - -2)/1)/(-99 - -100). Solve q*p - g + 10 = 0, -2*g + 4 = -p - 1 for p. -5 Suppose 5*h = 2*y - 3 - 24, -5*h + y = 26. Let q be (h/(-15)*0)/1. Solve 0 = -4*p + 3*x + 17, p + 2*x - 8 + 1 = q for p. 5 Let m = -6118 + 6120. Solve -v = 5, m*v = 5*u - 31 + 6 for u. 3 Let t(y) be the second derivative of y**3/6 - 5*y**2/2 - y. Suppose -i + 5 = l - 4, 2*l - 26 = 2*i. Let h be t(l). Solve 4*c = -5*x + 7, c + 3*x - h = 1 for c. -2 Let y(u) = -u**3 + 16*u**2 - 28*u - 1. Let i be y(14). Let j be i/(-4) + (-45)/(-12) + -1. Solve 3*g - 3 = 2*l, -5*g - 24 = -10*g - j*l for g. 3 Let z = 568 - 576. Let c be -5 + (z - -18) + -3. Solve -i = -c*k + 4 - 0, -2*i = -k + 8 for k. 0 Let d(z) = -z + 4. Let c be d(4). Let g be -1 - (-20 - (-13 + 9)). Solve 0 = 2*m + 2*i + 10, -m + g = -c*m - 4*i for m. -1 Let f = -11623 + 11626. Solve 4*n = -5*y - 35, 0 = 4*y - n - f*n - 8 for y. -3 Let o be (4 - 72)/(1*2/6). Let j = 209 + o. Solve 0 = -4*v + 2*s + 6, -4*v + s + j = -2 for v. 2 Suppose 99*d = 101*d - 4. Solve d*s - s = 4*w - 7, -3*s = -w - 1 for w. 2 Suppose -3*s - 2*z + 105 = 13, 0 = -s - 4*z + 34. Suppose -s = -23*f + 13*f. Solve -3*b + 4*u = 8, -u + 0*u + f = -b for b. -4 Let k = 21 - -5. Let p = k - -4. Suppose -32*s + 8 = -p*s. Solve 0 = -s*j - 12, -j = -5*r - 0*j + 28 for r. 5 Let n(k) = -3*k**3 - 43*k - 44. Let u be n(-1). Solve -14 = -3*q - u*w, -4*q + 5*w = -57 + 69 for q. 2 Let x(g) be the first derivative of -g**3/3 + 17*g**2/2 - 39*g - 127. Let h be x(14). Solve 5*q = u, -h*q + 5*u + 16 + 6 = 0 for q. -1 Let a = 27701 - 27632. Solve -4*u + 70*z - a*z - 17 = 0, 4*z = -5*u + 5 for u. -3 Suppose 31*d = -12 + 74. Suppose -5*b + 2*o = -17, -18 = -3*b - d*b + 3*o. Let q = 1 + 0. Solve 19 = -5*z + b*f, 3*z = 2*f - q - 11 for z. -2 Suppose -50 = 1380*u - 1382*u. Suppose -h + 1 = 0, 24*h = l + u*h - 17. Solve -5*m - 2*d = -l, 4*m + d - 19 + 8 = 0 for m. 2 Let p(f) = -26*f + 8. Let r be p(1). Suppose -2*o - 2*o + 80 = 0. Let d = r + o. Solve -d*v - 2 = k, -v - k - 6 = -3*k for v. -2 Suppose 2*t = 2*f - 618, -3*f - 23 = 4*t - 936. Let b = 310 - f. Solve -2*k = 3*r, 0 = b*k - r + 6*r for k. 0 Suppose -20*r + 432 = 352. Solve -4*q - 4*a + 12 = 0, 3*q + a - r = -5 for q. -2 Let a(x) = -x + 8. Let h be a(6). Suppose -134*w + 133*w + 268 = 0. Let l = w + -266. Solve 2*n - l = 4*s, -4*n = 5*s - h - 15 for n. 3 Let j(q) = 12 + 4 - q + 0. Let o be j(11). Let f = 119 + -117. Solve 0 = -5*x - f*r - 14 + 1, r + 14 = -o*x for x. -3 Suppose -f + 319 = h + 4*f, h = -f + 319. Let g = h + -319. Solve c - 4*n + 19 = g, 6 - 16 = -2*n for c. 1 Let f(n) = -13*n - 1. Let k be f(-1). Let l = -782 - -780. Let y be ((-76)/57)/((-15)/(-9) + l). Solve 3*m - k = y*c - c, m = -5*c - 8 for c. -2 Let j be 33 - 35 - (-4)/1. Suppose 1 + 1 = j*s. Solve 2*c + 11 = -3*t, 2*t - t + s = 2*c for t. -3 Suppose 2*k + 4*o - 28 = 0, -121*k + 3*o = -116*k + 8. Solve -5*g - 3*v = -24, -k*g = -5*g - v + 12 for g. 3 Let k = 24817 + -24807. Solve 15 = 8*m + 5*z - k, -2*m = -3*z - 19 for m. 5 Let l be 10/65 - 89/(-13). Suppose -4*t + 1 = -l. Let a be (0*3/9)/t. Solve -2*y - 24 = 5*c, -y - 6 = c - a for y. -2 Suppose -4*o = 3*v - 218, 3*o - 2*v + 52 = 4*o. Suppose -3*q + 3*h = 2*q - o, 0 = 4*q - 2*h - 46. Solve 5*r - 1 = -2*t, 4*t + q = 2*r + 3*r for t. -2 Let o(h) = h**2 - 4*h - 13. Let l be o(7). Suppose 0 = 12*q - l - 52. Suppose -q*i - 27 = -6*i. Solve 6*r = r + n - i, 5*r - 3*n = -31 for r. -5 Let g be (-4 + 2)/((96/18)/(-8)). Solve 14 = 6*v - g*v + 5*i, -2 = -2*i for v. 3 Let y = 252 - 236. Let p be 6/(-2)*-1 - 3. Suppose -2*m + 19 + 5 = p. Solve 5*v + l - 3*l = -y, 2*v + 2*l + m = 0 for v. -4 Let f(w) = -161*w + 2259. Let t be f(14). Solve -6*a = t*o - a + 50, 2*a + 5 = o for o. -5 Let w be (-10)/(-2) + (-7 - (2 - 8)). Let y be 4/1 + (-1 + w)/(-3). Solve 5*n - 19 = t, 4*n - 2 = y*t + 11 for t. 1 Let l be -1 + (-12)/(-8) - 808/(-16). Solve 50*j = 4*y + l*j + 8, 5*j + 4 = -2*y for y. -2 Suppose -2*h - 3*w + 19 = 0, 93 = 4*h - 5*w + 88. Solve -2*j = -d - h, -3*j - 94 = 3*d - 79 for d. -5 Suppose 3*l - 3 = 12. Suppose -2*v = 5*a + 20, -295*a + 291*a = -4*v + 16. Solve -4*s = 4*z + 16, 2*s + v*z + l*z + 5 = 0 for s. -5 Let i = -15092 + 15118. Solve 4 = -5*r - 1, 4*f + 2*r = i for f. 7 Suppose 773 - 625 + 1308 = 28*q. Solve 2*j + 3*x = 10, 5*j + 13 = -q*x + 54*x for j. -1 Let g be ((-6)/16)/((-1044)/8352). Solve -3*i + 3*r - 309 + 300 = 0, g*i + 5 = 4*r for i. -7 Let u = 81 - 50. Suppose u + 11 = 14*s. Suppose 0 = -s*p - 10 + 25. Solve -3*y - 4 = -p*q - 0, -y - 6 = 3*q for y. -3 Suppose 190 = -9*d + 28*d. Let s(q) = q**2 - 2*q - 1. Let x be s(3). Solve -4*u - x*y = -d, 4*y = u + y - 20 for u. 5 Let z = 65 + -61. Suppose -5*n + 4*n - 4 = 0, 0 = -z*i + n + 12. Solve 3*k - 43 = -5*t - 3, 0 = i*t - 10 for k. 5 Let l = -60 - -63. Let p = 9 + 9. Suppose -2*f - 12 = -4*a, 4*f - f - p = -3*a. Solve 7*v - a*v + j = 5, l*v - 3 = -3*j for v. 2 Suppose d = -7 + 12. Suppose -11*u = -7*u + 5*a - d, 2*a + 1 = -u. Solve 0 = -w - v - 5, -u*w + 4*v = v - 15 for w. 0 Let o be ((-70)/21)/((-50)/60). Let w(v) = 0*v - 6 + 0 + v - 2*v. Let a be w(-6). Solve 3*f = 2*k - 4*k - 1, 4*f - o = a for k. -2 Let x be (-2 - (-142)/(-4))*144/54. Let v = x + 104. Solve v*d + a = 6*a - 22, -d = -a + 5 for d. -3 Let b = -12127 - -12132. Solve -b*s = -2*u + 4, 2*s - 21*u + 16*u - 11 = 0 for s. -2 Suppose 15*y - 2793 = -75*y - 543. Solve 2*x - 4*z - y = -7, 0 = 2*x + 5*z for x. 5 Let j be -1 + (-105)/(-91) - 76/(-13). Suppose j*v + 6 = 18. Solve y = -g + 2, -y - 2*g = -8 + v for y. -2 Suppose -4*t = -5 - 11. Suppose -5*k + 6*k = t. Let o(y) = 86*y + 690. Let m be o(-8). Solve 5*u = -g + 19
{ "pile_set_name": "DM Mathematics" }
s (c) 2 (d) -2/7 a Let x be 55/(-132) - 2/24. What is the smallest value in 3/8, x, 0.5, 1/12? x Let q = -1097 - -1100. Let g = -4.9 + 5. What is the biggest value in g, q, 0.012? q Let i(w) = -w**2 - 16*w - 61. Let s = -52 - -45. Let o be i(s). Which is the second smallest value? (a) o (b) 0.1 (c) -23 (d) -5 d Let p = 17725 + -17724.6. What is the fourth smallest value in 2/3, -1/4, p, 4, -0.1? 2/3 Suppose -5 = 5*s - 15. Suppose 27 = 3*u - 3*z, 2*u - 4*z + 10 = 24. Let f be 6/14 + (1672/(-28))/u. What is the biggest value in f, 2/11, s, 1/5? s Let d = -424.664 + 423. Let n = 0.064 + d. Let r = n + 6.6. What is the fourth smallest value in 2/9, r, -1, 1/9? r Let m = -1.9 + -0.1. Let u = -0.22 + 0.2629. Let n = 3.0429 - u. Which is the second smallest value? (a) m (b) n (c) -1/2 (d) -4/5 d Let v = 985 - 982. Suppose -v*i = -542 + 557. What is the smallest value in i, 0.4, 3, 23? i Let s(i) = -3*i**3 - 5*i**2 + 46*i + 99. Let w be s(-3). Let v = 2 + -6. Which is the fourth smallest value? (a) w (b) 2 (c) v (d) -6 b Suppose -879*h - 96 = -855*h. What is the biggest value in -0.4, 4, -30, h? 4 Let g = 34 + -31. Let w = 25/2 - 12. Let v = -345 - -342. Which is the biggest value? (a) -0.1 (b) w (c) v (d) g d Suppose b = 17 - 11. Suppose -5*v + 5*k - 30 = 0, -3*v + 2*k - 24 + b = 0. Let p be ((-3)/v)/(-5 + 2). What is the biggest value in 3, p, 0.3? 3 Let o = -16435 - -16431. Let v = -1 + 2. Which is the biggest value? (a) 2 (b) o (c) v a Let j = -0.1 - 0.1. Let m = -0.1 - j. Suppose 0 = -5*i - 2*x + 41, 3053*i - 3053*i + 2 = -x. Which is the smallest value? (a) i (b) -0.2 (c) m b Let j = -196.285 - -0.285. Let a = 201 + j. What is the second smallest value in -37, a, -4? -4 Let r = -8400 - -8400. What is the third biggest value in r, 375, -2/17, -2? -2/17 Let n = -39/55 - -10/11. Let p = n - 2/5. What is the third smallest value in 3, 2, p, -2/35? 2 Let p = -194/5 + 38. Let g = 0.1061 - 4.1061. Let s = 79/100 + -1/25. Which is the fourth smallest value? (a) g (b) 0 (c) s (d) p c Let j be (-79)/45 - (-1)/5. Let x = 6868.8 - 6869. What is the third biggest value in 1, x, j, -4? j Let v = 29 + -27. Let x be -2 + 2 - (-2)/12. Which is the smallest value? (a) 6 (b) v (c) -2 (d) x c Let f = -0.46 + 0.06. Let n = 0.574945 + -0.074945. Which is the smallest value? (a) n (b) -9 (c) f (d) 3/5 b Suppose -30*o = -34*o + 16. Let c be (-385)/9 + ((-24)/27)/o. What is the second biggest value in 2, c, -4? -4 Let l = -8919 - -8966. What is the fourth smallest value in l, -0.5, 3, -0.3? l Let m = -0.26 + 0.2561. Let j = 0.0239 + m. Which is the third smallest value? (a) 1.3 (b) j (c) 0.5 a Let m = 4286 - 4228. Which is the third biggest value? (a) m (b) -0.2 (c) -17 c Let s = -0.201 + 0.122. Let g = -5.079 - s. Which is the third smallest value? (a) g (b) -6 (c) -2 c Suppose 12*w - 44*w + 64 = 0. Which is the third smallest value? (a) 46/7 (b) w (c) 3 (d) 4 d Let w = 0.016 + 33.984. Let s = 33 - w. Let f = -2.2 + 2.5. Which is the third biggest value? (a) 4 (b) s (c) f b Suppose 22*z - 35 = 27*z, -2*m - 5*z = 31. What is the third biggest value in 837, m, 1/4? 1/4 Let a = 3.281 + -3.701. What is the third biggest value in a, -3/7, 2? -3/7 Let j be 0/1 + ((-18)/(-117) - (-495)/78). What is the third biggest value in j, 6, 1/4? 1/4 Let j = 0.25 - -0.15. Let f = 0.3 + -0.6. Let t = -0.215 + 8.215. What is the biggest value in f, j, t? t Let h = -69.56 - -70. Let o = h + -0.84. Suppose -4*n = -16 - 32. What is the third biggest value in n, -4, o? -4 Let q = -891 + 890.7. Which is the fourth biggest value? (a) 35 (b) q (c) 0.4 (d) 12 b Let l = -0.9194 + -19.0806. Which is the smallest value? (a) 5 (b) l (c) 10 b Let y = -114 - -58. Let g = y - -1062/19. Let i = -362.9 - -363. Which is the biggest value? (a) g (b) i (c) -0.14 b Let x = -3591 - -3272.7. Let j = 318 + x. Which is the biggest value? (a) -1 (b) 0.12 (c) j b Let k = 8359 + -8359. Which is the third smallest value? (a) 1.63 (b) k (c) 3 c Let j = 43.6 - 30.3. Let i = j + -12.9. What is the fourth biggest value in 2, i, -1/6, -5? -5 Let y = -3.1 + 0.1. Let m(j) = -2*j**2 + 6*j - 2. Let w be m(3). Let g be (-35)/(-45)*w*(-1)/(-7). Which is the biggest value? (a) y (b) -2 (c) -5 (d) g d Suppose -35*m - 14124 = -12094. Which is the fourth biggest value? (a) m (b) -5/3 (c) 25 (d) -3/7 (e) 2 b Suppose -3*w - 8 = -5. Let a be 7/(-15) + (-1)/3. Let l = -4.41 - -4.81. What is the second biggest value in l, 4/5, a, w? l Let d = 0 - 0.2. Let n = 416 - 504. Let m = n - -83. Which is the smallest value? (a) 5 (b) d (c) m c Let v = 5367 - 5367. What is the biggest value in 5, v, -0.2, -3? 5 Let d = -0.75 + 1.15. What is the fifth biggest value in -5, -0.07, -1, -3, d? -5 Let u = 810.07 - 816. Let p = 5.93 + u. Which is the third smallest value? (a) 20 (b) p (c) -6 a Let y(o) = -20*o**3 - 4*o**2 + 4*o + 10. Let j be y(-3). Let p = j + -508. Which is the third smallest value? (a) 3 (b) 4 (c) p b Let m = 93 - 92.43. Let q = -0.72 + m. Let z = q + 0.55. What is the third smallest value in -10, z, 5? 5 Let h = -7/13 - -36/91. Let q = 673181/7005 - 1/14010. Let a = q - 478/5. What is the third smallest value in a, 9/2, h? 9/2 Let n = -40 + 758/19. Let r = 272 + -272.127. Let t = r - -0.427. Which is the fourth biggest value? (a) -0.9 (b) n (c) t (d) 1 a Let c be -4 - (-1212)/(-20) - 3/45*6. What is the fourth smallest value in 0.5, 0.1, 0, c, -0.2? 0.1 Suppose 2*w + 1 = w. Let i be (14/(-4))/(w/(-1 - 1)). Let h be (-10)/56 + 11/(-44). Which is the third smallest value? (a) -1 (b) h (c) i b Let t = 332 - 331.97. Which is the smallest value? (a) t (b) 150 (c) 0.5 a Suppose 0 = 2*u - 4*v - 64, 3*u - 3*v - 3 = 84. Suppose 0 = u*q - 10*q. What is the smallest value in -1/6, q, -4, 1? -4 Let w = -163 + 493/3. Let f = 0.5 + -0.5. Let g = 31401 + -31403. Which is the smallest value? (a) g (b) w (c) f a Let d = 14733.2 + -14736.3. Let h = 517/6 + -86. Which is the smallest value? (a) h (b) -10 (c) d b Let d = 31109/613578 - -2/6261. What is the third biggest value in 1, d, 4/3? d Let y = -1435 - -1430. What is the biggest value in 0.1, 0.2, -0.09, y? 0.2 Let m = -5875 - -5877. What is the third smallest value in -0.08, 8, 3, m, 0.7? m Let j = 23461/1425 + -398/25. Let u = j - 4/19. Which is the fourth biggest value? (a) 2 (b) -2/7 (c) 2/7 (d) u b Let r = 320 + -294.6. Let p = 24.4 - r. What is the biggest value in p, 1/258, -4? 1/258 Let f = -95.11723 - 0.04277. Let y = -95 - f. Let q = -5 - 0. Which is the third biggest value? (a) 1/7 (b) q (c) y b Let f = 5831/99 - 643/11. Which is the fourth biggest value? (a) 5 (b) 4 (c) -1 (d) -2 (e) f c Let v = -0.7382 + -3.2618. What is the biggest value in v, 0.3, 0.1182? 0.3 Let r = -39 + 37. Let k = 4.89 + 0.11. Suppose -4*w - 3*t + 2 = 0, 5*w + 9 = -4*t + 12. What is the smallest value in w, r, -0.4, k? r Let q be (-17 - -6) + (-171)/(-15). Which is the third biggest value? (a) 0 (b) -0.5 (c) q (d) 26 a Suppose -15*i - 840 = 120. Let l be i/(-80)*(-5)/(-6). Which is the second smallest value? (a) -13 (b) l (c) 0.05 c Let y = 7511/4 + -15009/8. What is the second smallest value in -0.2, y, 0.2, 5? 0.2 Let s = 2200.6 + -2201. What is the third smallest value in 13, s, -0.14? 13 Let t = 15.909 - 15.901. What is the third smallest value in -30, -3, t? t Let r be (147/98)/((-18)/(-4)) + 3/(-7). Which is the second biggest value? (a) r (b) -152 (c) -3 c Let u(j) = -196*j + 174. Let g be u(4). Let q = 5488/9 + g. What is the second biggest value in 0.1, q, -2, -4? q Suppose -24*t - 9 - 63 = 0. Let i be t/(-6)*((-21)/6 - -4). Let l = 106/11 + -815/88. Which is the smallest value? (a) i (b) 1 (c) l (d) 0.4 a Let s = -32433/8 - -4054. What is the second biggest value in s, -0.4, -87, 2/15? s Let j = -295.2 + 233.2. Which is the third biggest value? (a) j (b) 1 (c) -0.1 a Let b = -155 + 680. Let f = b + -520. Let l = -7.9 - -0.9. What is the third biggest value in -3, f, l? l Let n = -24799 - -24823. What is the second biggest value in -0.5, n, 0.09? 0.09 Let p = -211.9495 + -0.0505. Let i = p + 206. Let n = 17 + -19. Which is the second biggest value? (a) 3 (b) i (c) n
{ "pile_set_name": "DM Mathematics" }
p = r - 31. What is p*i(t) - 5*o(t)? 3*t**3 Let t = 224233 + -224237. Let d(n) = -6*n. Let a(p) be the third derivative of 5*p**4/24 + p**2. What is t*d(v) - 5*a(v)? -v Let v(b) be the third derivative of -b**4/8 + b**3/3 + 2*b**2. Let k = -16 - -18. Let w(o) = -30*o + 63*o - o**k - 1 - 34*o. Calculate v(a) - w(a). a**2 - 2*a + 3 Let d(f) = 993048*f**2 + 15456*f. Let n(w) = -8207*w**2 - 128*w. Give -4*d(m) - 483*n(m). -8211*m**2 Let r(i) = -25*i**2 + i - 242. Let l(p) = -18*p**2 + p - 161. Determine -7*l(g) + 5*r(g). g**2 - 2*g - 83 Let w(d) = 397*d**2 + 19*d - 49. Let j(n) = 199*n**2 + 10*n - 28. Calculate 7*j(f) - 4*w(f). -195*f**2 - 6*f Let n(q) = 23*q**3 + 35*q**2 + 60*q + 26. Let y(r) = -8*r**3 - 11*r**2 - 21*r - 9. Determine -6*n(l) - 17*y(l). -2*l**3 - 23*l**2 - 3*l - 3 Suppose -19*b = 3*g - 16*b, b + 3 = 0. Let m(s) = -1 + g - 52*s + 53*s. Let y(f) = -4*f - 5. What is -7*m(o) - 2*y(o)? o - 4 Let m(j) = j**2 - 8*j + 29. Let d(x) = -12*x**2 + 60*x - 204. What is -2*d(z) - 15*m(z)? 9*z**2 - 27 Let l be (-324)/405*(-15)/(-6). Let b(t) = 3*t**2 - 5*t + 5. Let c(d) = 15*d**2 - 26*d + 26. Give l*c(o) + 11*b(o). 3*o**2 - 3*o + 3 Let o(z) = -26*z**3 + 10*z**2 - 11*z + 71. Let i(q) = -q**2 + 7*q**3 + 40 + 0*q**2 - 12*q**3 + 3*q**2 - 2*q - 26. Calculate -11*i(f) + 2*o(f). 3*f**3 - 2*f**2 - 12 Suppose 37*t - 96*t = -23*t - 108. Let d(j) = -2*j + 19. Let r(w) = 3*w - 20. Calculate t*r(z) + 4*d(z). z + 16 Let o(v) be the first derivative of 11*v**4/4 - 2*v**3/3 + 4*v - 313. Let p(d) = -21*d**3 + 4*d**2 - 7. Give 11*o(c) + 6*p(c). -5*c**3 + 2*c**2 + 2 Let z(q) = -31*q**3 + q**2 - 5*q. Let m(f) = -5*f**3 - f**2 + 1. Let d(r) = -6*m(r) + z(r). Let o(a) = -a**3 + 6*a**2 - 4*a - 5. What is 4*d(g) - 5*o(g)? g**3 - 2*g**2 + 1 Let x(o) = -6*o**3 + 112*o**2 + 20*o. Let v(r) = -2*r**3 + 37*r**2 + 6*r. Give -11*v(i) + 4*x(i). -2*i**3 + 41*i**2 + 14*i Let m(y) = -1. Let s(c) = 7. Let z(o) = 6*m(o) + s(o). Suppose 12 = -2*g + 4. Let r be (4/6)/((690/45)/23). Let t(v) = -2*v**2 + 4. Determine g*z(q) + r*t(q). -2*q**2 Let u(f) = f**3 - f**2 + f. Let q(j) be the second derivative of -j**5/20 - j**3/3 - j**2 + j. Suppose 45*n - 1396 + 1306 = 0. Calculate n*u(c) + q(c). c**3 - 2*c**2 - 2 Let z(q) = 3*q**2 - 5*q - 3. Let f(s) = 6*s**2 - 11*s - 6. Let l = -3912 + 3916. Calculate l*f(n) - 9*z(n). -3*n**2 + n + 3 Let m(p) = -9*p + 27. Let c(b) = -10*b + 18. Determine -4*c(y) + 3*m(y). 13*y + 9 Let g(h) = 7*h + 4. Let l(u) = -9*u + 74. Let p be l(8). Suppose 0 = -2*d + p*b - 6, -d + 6*b - 10*b - 13 = 0. Let k(m) = -13*m - 7. Calculate d*g(c) - 3*k(c). 4*c + 1 Let b(x) = -7*x**3 - x**2 + x. Let z(c) be the first derivative of -c**4/4 + c**3/3 - 6518. Give b(a) - 2*z(a). -5*a**3 - 3*a**2 + a Let y(o) = 3*o + 8. Let v be ((-11429)/22 + 6)*(-1 + -1). Let x(d) = -v + d + 2056 - 1026. Calculate 7*x(j) - 2*y(j). j + 5 Let s(n) = n**3 + n. Let c(i) = 2*i**3 - i**2 - i. Let y(p) = p**3 - 93*p**2 - 96*p + 187. Let x be y(94). Give x*s(r) - c(r). -3*r**3 + r**2 Let h be 3 - 6*1/1. Let s = -1 - h. Let i(d) = d + 747 + 100 - 854. Let y(p) = 5*p - 29. What is s*y(m) - 9*i(m)? m + 5 Let b(p) = -11*p**3 + 70*p**2 + 543*p. Let l(f) = 10*f**3 - 60*f**2 - 543*f. Determine -6*b(c) - 7*l(c). -4*c**3 + 543*c Let a(q) = 5*q**3 - 4*q - 5. Let f(r) = 17*r - 98. Suppose -v = c - 1 - 1, 0 = -2*c - 8. Let y be f(v). Let t(k) = -k**3 + k. Determine y*t(x) + a(x). x**3 - 5 Let j(r) = -6*r**3 - 85*r**2 + 8*r - 30. Let f(d) = -3*d**3 - 57*d**2 + 5*d - 19. What is 8*f(m) - 5*j(m)? 6*m**3 - 31*m**2 - 2 Let n(t) = -1548*t + 1863. Let m(q) = 9. Determine 1242*m(l) - 6*n(l). 9288*l Let c(t) = 1301*t**3 - 2*t**2 + 8. Let w(k) = 1299*k**3 - 2*k**2 + 7. Determine 5*c(v) - 6*w(v). -1289*v**3 + 2*v**2 - 2 Let w(m) = 1134*m**2 + 1134. Let v(d) = 71*d**2 + 70. Calculate 81*v(i) - 5*w(i). 81*i**2 Let p(r) be the third derivative of -r**5/30 + r**4/24 + r**3/2 - 3*r**2 - 288. Let s(y) = -4*y**2 + 2*y + 5. What is 7*p(n) - 3*s(n)? -2*n**2 + n + 6 Let i(k) = 19*k**3 + 31*k**2 - 35*k + 131. Let p(z) = -3*z**3 - 5*z**2 + 6*z - 22. What is 2*i(x) + 13*p(x)? -x**3 - 3*x**2 + 8*x - 24 Let b(c) = -8*c**3 - 9*c**2 - 257*c + 75. Let u(p) = 2*p**3 + 2*p**2 + 64*p - 18. What is -2*b(s) - 9*u(s)? -2*s**3 - 62*s + 12 Let x(y) = -2*y**3 - 3*y**2 + 3*y + 3. Let w be (-20075)/(-175) - (-4)/14. Let p = w - 110. Let i(n) = -3*n**3 - 5*n**2 + 5*n + 5. Give p*x(c) - 3*i(c). -c**3 Let z(g) = -2*g + 2. Let v(i) = -5*i - 22. Let n be v(-5). Suppose 5*t - 17 = -n*p, 5*p = 7*t - 12*t + 15. Let x(s) = 1. What is p*z(u) - 2*x(u)? 2*u - 4 Let q(b) = b**3 + 20*b**2 + 18*b - 18. Let d be q(-19). Let n(o) = -1. Let m(c) = 14146 - 14137 + 3*c - c. Determine d*n(h) + m(h). 2*h + 8 Suppose -3*z = -3 + 6. Let k(g) = -5 - 12*g - 1 + 19 - 14. Let q(f) = -f - 1. Calculate z*k(y) + 3*q(y). 9*y - 2 Let m(z) = -6*z**3 - 10*z**2 - z. Let q be 234/(-468)*2*5. Let o(y) = -9*y**3 - 15*y**2 - y. Determine q*o(p) + 7*m(p). 3*p**3 + 5*p**2 - 2*p Let s(j) = 40*j**2 + 29*j + 562. Let a(h) = -18*h**2 - 14*h - 286. What is -9*a(z) - 4*s(z)? 2*z**2 + 10*z + 326 Let f(o) = -3*o + 61. Let u(g) = -19*g + 189. Let k(h) = 191*h - 1851. Let z(y) = 3*k(y) + 31*u(y). What is -11*f(c) + 2*z(c)? c - 59 Let h(a) = 21*a - 432. Let c(d) = 3*d - 63. Give 15*c(r) - 2*h(r). 3*r - 81 Let r(s) = -2*s**2 - 104*s - 21. Let n(i) = i**2 + 100*i + 18. Calculate -5*n(o) - 4*r(o). 3*o**2 - 84*o - 6 Let f(j) = 2*j**3 + 6*j**2 - 6. Let c = 554 + -549. Suppose -q + 0 = -c*l - 13, 0 = 2*l + 4. Let y(a) = 2*a**3 + 7*a**2 - 7. Determine q*y(t) - 4*f(t). -2*t**3 - 3*t**2 + 3 Let d = 8 - 5. Let q(m) = -2*m**2 - m - 2. Let g(n) = 2735 + n**2 + 3364 - 6099. Give d*g(a) + q(a). a**2 - a - 2 Let y(p) = 82*p - 84. Let s(z) = 1560*z - 1638. Let i(x) = -2*s(x) + 39*y(x). Let o(w) = -79*w. Determine 2*i(n) + 3*o(n). -81*n Let s(x) = 2*x**2 - 26*x - 3. Let b(q) = q**2 - 5*q - 1. Let j(r) = -4*b(r) + s(r). Let h(a) = a**2 + 5*a. What is 4*h(t) + 3*j(t)? -2*t**2 + 2*t + 3 Let c(g) = 22*g**2 + 31*g + 6. Let x(d) = -45*d**2 - 68*d - 13. What is -7*c(v) - 3*x(v)? -19*v**2 - 13*v - 3 Suppose -14*g = -18*g - 4. Let d(k) = 2*k**2 + k - 2. Let q(r) = 11*r**2 + 5*r - 12. Let v(a) = 6*d(a) - q(a). Let c(s) = -s**2 + 3*s + 1. Give g*c(y) + 3*v(y). 4*y**2 - 1 Let g(j) = 1060*j + 8. Let l(q) = -51942*q - 396. Give 99*g(r) + 2*l(r). 1056*r Let v be 2/8 - 9/4. Let t(s) = -s. Let o(j) be the first derivative of -j - 6896. Determine v*o(x) - 2*t(x). 2*x + 2 Let i(s) = -s**2 - 2*s - 4. Let u(z) = z**2 - z + 1. Suppose 0 = -2*k - 3*f + 10, 2*k + 3*k = 5*f. Determine k*u(t) + i(t). t**2 - 4*t - 2 Let u(g) = 456*g + 1. Let n(q) = -2716*q - 7. Give -8*n(k) - 49*u(k). -616*k + 7 Let d(i) = 7*i**2 - 9*i - 3. Let z(c) be the third derivative of c**5/60 - c**3/6 + 7564*c**2. Determine -d(a) + 4*z(a). -3*a**2 + 9*a - 1 Let w(b) = 8*b**3 + 6*b**2 + 3*b - 4. Let a be -9 - (0 - (-16 + 21)). Let z(p) = 8*p**3 + 5*p**2 + 2*p - 3. Determine a*z(l) + 3*w(l). -8*l**3 - 2*l**2 + l Let n(w) = -5*w**2 + 19*w - 7. Let j(b) = 18*b**2 - 56*b + 22. What is 2*j(m) + 7*n(m)? m**2 + 21*m - 5 Let h(u) = -2*u**2 - 16. Let l(i) = 19*i**2 - 37*i + 45. Calculate -3*h(y) - l(y). -13*y**2 + 37*y + 3 Let l be 0 + 4 + 18/(0 - 3). Let m(k) = 6*k + 9. Suppose 4*p - 3*v = v - 68, -21 = p + 3*v. Let q = 4 + p. Let r(a) = -a - 1. Give l*m(w) + q*r(w). 2*w - 4 Let y(l) = 9*l + 6. Let t(o) = -o. Let m(d) = 6*t(d) + y(d). Let p(b) = 2*b + 7. Determine 4*m(f) - 5*p(f). 2*f - 11 Let c(g) = -20*g**3 - 9*g + 1106. Let b(s) = 9*s**3 + 4*s - 552. What is 9*b(v) + 4*c(v)? v**3 - 544 Let k(l) = 151*l - 272. Let f(s) = 152*s - 293. Give 13*f(w) - 14*k(w). -138*w - 1 Let s(q) be the first derivative of q**3/3 - 7*q**2/2 + 5*q - 1339. Let w(l) = l**2 - 6*l + 4. Give 5*s(i) - 6*w(i). -i**2 + i + 1 Let d(x) = -2*x**2 + 33*x + 199. Let o(f) = f**2 - 50*f - 198. Determine 3*d(q) + 2*o(q). -4*q**2 - q + 201 Suppose 129*l = 135*l - 480. Let h = l - 77. Let u(v) = v**2 + 4*v - 6. Let c(t) = -3*t + 5. Calculate h*u(d) + 4*c(d). 3*d**2 + 2 Let t = -156 - -181. Let r(q) = 0 - t*q**3 + 1 - 24*q**3 + 53*q**3. Let g(b) = 6*b**3 - 4*b**3 - 3*b**3 + 0*b**3 + b**2. Calculate g(l) + r(l). 3*l**3 + l**2 + 1 Suppose -m = i + 1 + 1, -25 = 5*i. Let n(q) = -12 + 2 - 7 + m*q. Suppose -a + w = 19, -4*a
{ "pile_set_name": "DM Mathematics" }
**2)*(2*o - 1 + 1 + (3 - 2 - 3)*(o + 4*o - 3*o) + 2 + o - 2). 3*o**3 Expand (2 - 2 - 6*q)*(-2*q**3 - 3*q**3 + 6*q**3) + 2*q**3 - 2 + 0*q**3 - 3*q**3 - 2*q**4. -8*q**4 - q**3 - 2 Expand (1 - 1 + 2)*(-9 + 7*t + 9 + (-3 + 5 - 3)*(0*t + t - 3*t)). 18*t Expand (0*r**3 + 5*r**3 + 0*r**3)*(4*r - 4*r - 2*r). -10*r**4 Expand -3*p + p + 0*p + (-1 - p + 0 - p)*(-3 + 0 + 1). 2*p + 2 Expand (3 - 2 + 2)*((-q + 4*q - 5*q)*(2 - 4 + 0) - q + 4*q - 4*q) - 1 + 2*q + 1. 11*q Expand (-4*y - 2*y**2 + 0 + 0)*(2*y + 0*y - 3*y) - y**3 + 6*y**3 - 2*y**3. 5*y**3 + 4*y**2 Expand (d**3 - 3*d**3 + d**3)*(-4*d**2 + 15*d**2 - 6*d**2). -5*d**5 Expand (-1 - 2*l**3 + 1)*((-3*l**2 + 3*l**2 - 3*l**2)*(0 + 2 - 4) - 5*l + 5*l + l**2). -14*l**5 Expand (-w - 2*w - w)*(4*w - 4*w - 2*w) + (-4*w + 4*w + w)*(2 - 2 + w). 9*w**2 Expand -s - 3*s**3 + s + (-2*s + 2*s - s)*(2*s**2 - 2*s**2 + s**2) + 5*s**3 - 2*s**3 - s**3 + 4*s**3 - 4*s**3 - 13*s**3. -15*s**3 Expand (1 + 0 - 2)*(-3*u**2 - 3*u**2 + 2*u**2)*(-2*u + u - u). -8*u**3 Expand -4*l + l + 5*l + (-l + l - l)*(-6 + 1 + 3) + 0 + l + 0. 5*l Expand (-3*p + 2*p + 0*p)*(-4 + 4 + 3*p**2). -3*p**3 Expand (0*g + 2*g - 1 + 0*g)*(-12*g**2 + 4*g**2 - 3*g**2). -22*g**3 + 11*g**2 Expand (5*b + 2 + b + 3*b)*(1 - 4 + 0). -27*b - 6 Expand (-2 + x**2 + 2)*(-5 + 3 + 1 + (-1 - 2 + 5)*(-2 + 0 + 0)). -5*x**2 Expand (2 + 3 - 4)*(-7*w - 2*w + 2*w). -7*w Expand (2*v + v - v)*(-2*v + 4*v + 0*v) + 9*v**2 + 49 - 49 - v + 2*v**2 + v. 15*v**2 Expand (-4*y**2 + 4*y**2 - 4*y**2)*(-5*y**2 + y**2 + y**2). 12*y**4 Expand (3*o - 3*o + o)*(99*o - 122*o - 2 + 0). -23*o**2 - 2*o Expand (0*h**2 + 3*h**2 - 4*h**2)*(2 - 3 + 2)*(-6*h**3 - 10*h**3 - 11*h**3) - h**5 - h**4 + h**4. 26*h**5 Expand 13*u**4 + 21*u**4 - 7*u**4 + 3*u**4 + u**4 - 5*u**4 + (4 + 0 - 2)*(3*u + 2*u**4 - 3*u) + 0*u**4 - u**4 + 3*u**4 + u**4 + 0*u**4 + 0*u**4. 33*u**4 Expand (483*k + 22 - 481*k + 11)*(-4 + 4 - 3*k**2). -6*k**3 - 99*k**2 Expand (-2*n**3 - 2*n**3 - n**3)*(-n + 2 - 2) + 2*n**4 - n**2 + n**2. 7*n**4 Expand (4*v**2 - 2*v**2 - 3*v**2)*(-10*v**3 + 21*v**3 - 12*v**3 - 5). v**5 + 5*v**2 Expand 3*n**2 + 3*n**4 - 3*n**2 + (2*n - 2*n + 2*n**2)*(4*n**2 + 0*n**2 - 2*n**2). 7*n**4 Expand (3*n - n - n)*(0*n - n + 0*n) + 2*n**2 + 0*n**2 - 5*n**2. -4*n**2 Expand (13*j - 13*j - 32*j**2)*(-j**3 + j**3 - 4*j**3). 128*j**5 Expand 3*c + 4*c**4 - 3*c + (2 - 2*c - 2)*(2*c**3 - 3*c**3 - c**3) - 1 + 1 - c**4 + c**4 + 2*c**4 - 2*c**4. 8*c**4 Expand (0*w - w + 0*w)*(w**2 - 2*w**2 - 5*w**2)*(w + 4*w - 4*w). 6*w**4 Expand (0 - 4 + 2)*(4*w - 2 + 3*w - 27*w). 40*w + 4 Expand (1 - 2*f - 1)*(-5 + 0 - 3) - 2 - f + 2. 15*f Expand (-2*f**4 - f**4 + 0*f**4)*(14*f + 8*f - f)*(-1 + 0 + 2). -63*f**5 Expand (2*h + h - 2*h)*(1 + 1 + 31*h**4 - 27*h**4). 4*h**5 + 2*h Expand ((0 + 0 + 2*g)*(-4*g + 4*g - 4*g**3) - 2*g**4 - 2*g**2 + 2*g**2)*(-g - 3*g + 3*g). 10*g**5 Expand (-3 + 3 + 7*h)*(3 - 4 + 4)*(0 + 2 - 1)*(1 + h - 1). 21*h**2 Expand (-7*j - 57 + 57)*(j - j - j**3). 7*j**4 Expand (-l + 3 - 2 + 0*l)*(2 + 0 - 4)*(1 - 2 - 1). -4*l + 4 Expand (3*r**2 + r - r)*(7*r + r - 3*r). 15*r**3 Expand (4 + 4 - 5)*(4 - 4 - h)*(2*h**3 + 0*h**3 - h**3). -3*h**4 Expand (-h + 4*h - h)*(0 + 3 - 2) + (-h - 6*h + h)*(1 - 4 + 4)*(-4 + 4 - 2) - 2 + 2 + h. 15*h Expand (2*s - 5*s + s)*(-3 - 1 + 5) + (26*s + 35 - 35)*(2 - 5 + 5). 50*s Expand (-x**5 + 0*x + 0*x)*(-2 + 5 - 4) + 4*x + x**5 - 4*x + 3*x**5 - 6*x**5 + 2*x**5 - 6*x + 6*x + 10*x**5 + (-x**4 - 5*x**3 + 5*x**3)*(0*x + 2*x + 3*x). 6*x**5 Expand -b**2 + 3*b**2 + b**2 - b**2 - 2*b**2 + 5*b**2 + (2 - 2 + 2*b)*(1 - 1 + 2*b). 9*b**2 Expand (-2 - 4 + 1)*(-6*b + 7*b**2 + 6*b). -35*b**2 Expand (l - l - 2*l)*(-2*l + l + 3*l)*(1 - 1 + 1). -4*l**2 Expand (-2*f - 2 + 2)*(f**2 - 1 + 1)*(-9*f**2 + 4*f**2 - 55*f**2). 120*f**5 Expand (0 - 1 + 3)*((-1 + 2 + 0)*(0*c - 2*c + 0*c) + (2 - 4 + 3)*(3 + 6*c - 3)). 8*c Expand (27 + 11*h - 27)*(2*h**2 + 3*h**2 - 4*h**2). 11*h**3 Expand (0*v - v - v)*(-4 + 2*v**2 + 4) + 0*v**3 + 2*v**3 - 3*v**3 + 64 - 15*v**3 - 2*v**2 - 64. -20*v**3 - 2*v**2 Expand (6 + 0 - 1)*(-1 - 1 + 1)*(3*p**4 - 9*p**4 + p**4). 25*p**4 Expand (c**2 - 3*c**2 + 0*c**2)*(-8*c - 11*c - 8*c). 54*c**3 Expand (-b - 11 + 11)*(-b + b**2 + b)*(1 + 2 - 1). -2*b**3 Expand 1 - i - 1 + 0*i - i + 0*i + (-5 + 2 + 1)*(-4*i + 3*i + 3*i). -6*i Expand (44 - 32 - 34)*(-4*g + 2*g + 3*g). -22*g Expand (-2 + 5 + 3)*(2 - 4 + 0 + (2 - 4 + 3)*(-2 + 1 + 0) - 5 + 4 + 2 - 1 + 4 - 4)*(3*i**2 + 4*i**2 - 5*i**2). -36*i**2 Expand (0*y + y - 3*y)*(2*y - 3*y + 0*y - 3). 2*y**2 + 6*y Expand -5*m**2 + 4*m**2 + 2*m**2 + (2*m**2 + 3*m**2 - 3*m**2)*(2 - 4 + 0) - m + m - m**2. -4*m**2 Expand (0*h**3 - 3*h**3 + 0*h**3)*(0 + 0 - 2*h) + (-45 + 6*h + 45)*(-3*h**3 + 6*h**3 - 2*h**3). 12*h**4 Expand (-k - 2 + 2)*(-38*k + 10*k**2 + 38*k) + 2*k**3 + k**3 - 4*k**3. -11*k**3 Expand (-3*o - o + 2*o)*(5 - 2*o - 5)*(2 - 1 + 2). 12*o**2 Expand (-1 + 5 - 3)*(-2*o**2 + 4 - 4) - 3*o**2 + 2*o**2 + 0*o**2 + (-2*o + 0*o + 0*o)*(14 - 5*o - 14). 7*o**2 Expand (-6*a**3 - a**3 - 3*a**3)*(-7 + 3 + 0). 40*a**3 Expand -13*s**5 + 4*s**3 - 4*s**3 + 2*s**5 - 1 + 1 + (-3*s**2 + s**2 + 0*s**2)*(-s**3 + 1 - 1) - 2*s**5 + 6*s**5 + 0*s**5. -5*s**5 Expand (4*s - 9*s + 3*s)*(-2*s**2 - 7*s**4 + 10*s**4 - 4*s**4). 2*s**5 + 4*s**3 Expand 2*c - 4*c - c + (1 + c - 1)*(0 + 2 - 1) + 2*c - c - 2*c - 3*c + 0*c + 5*c. -c Expand (-11*b**2 - 278 + 278)*(-2*b**2 - 2*b**2 + 2*b**2). 22*b**4 Expand (a + 3*a - 5*a)*(-a + 2*a + 0*a) - 2*a - 2*a**2 + 2*a + 2 - 6*a**2 + 2*a**2 + 2*a + 2*a. -7*a**2 + 4*a + 2 Expand (4*x**2 + 15*x - 15*x)*(5*x**3 - x**3 - 3*x**3 + 2*x). 4*x**5 + 8*x**3 Expand (-11*m + 14*m + 95*m)*(0*m**3 + 0*m**3 - 2*m**4). -196*m**5 Expand 3*u + 3*u - 5*u + (-u + 4*u - u)*(0 - 4 + 2) + u - 3*u + 3*u + (0 - 1 + 4)*(3*u - 2*u - 2*u). -5*u Expand (b**3 - 6*b**3 + 2*b**3)*(-83 + 3*b + 83). -9*b**4 Expand z - 2*z**4 - z + z**4 - 5*z**4 + 2*z**4 + (2*z**2 - 3*z**2 + 2*z**2)*(2*z**2 + 0*z**2 - 3*z**2) + 3*z**4 - 18 - 2*z**4 + 22. -4*z**4 + 4 Expand (-2 + 2 + 1)*(-s - 4*s + 2 + 4*s). -s + 2 Expand 4*c - 4*c + c - 5 + 5 + 2*c + (0 + 1 + 1)*(-4 + c + 4) + 8*c - 17*c + 13*c. 9*c Expand (-b + b - b)*(-17*b**2 + 1 - 3 + 18*b**2 - 7*b). -b**3 + 7*b**2 + 2*b Expand (5*i**3 - 5*i**3 + 16*i**3)*(-3*i - 2*i + 3*i) - 7*i**4 + 3*i**4 + 3*i**4. -33*i**4 Expand (0*n - 2*n**3 + 0*n)*(-n - 2*n - 5*n + (1 - 4 + 1)*(2 + 2*n - 2)). 24*n**4 Expand (-2 - 2 - 7)*(2*a - a - 3*a)*((3*a + 0*a - a)*(3 - 2 - 3) + 1 - 1 - 2*a + a + 2*a - a). -88*a**2 Expand 128 - 5*d - 66 - 58 + d + 3 - 3 + d + 3 - 3 - 2 + 2 + d + 1 - 1 - 2*d + (-3 + 1 + 1)*(-2*d + 0*d + 3*d) + 2*d - 2*d - d - 2*d + 3*d - 2*d. -7*d + 4 Expand 2*o - 2*o - o**3 + (-4*o**2 + 3*o**2 - 2*o**2)*(5*o - o - 3*o) - o**3 + 0*o**3 + 2*o**3. -3*o**3 Expand 4*g**5 - 3*g**5 - 2*g**5 + (-g**2 + 1 - 1)*(1 + g**3 - 1) + 4*g**5 - g**5 - 4*g**5. -3*g**5 Expand (8*a + 9 - 9)*(0*a**3 + 2*a**2 + 3*a**3 + 4*a**2). 24*a**4 + 48*a**3 Expand -1 + 1 + h + (-3*h + h + 0*h)*(1 - 1 + 1) + 0*h - h + 0*h + 2*h + 0 + 0 + h - h + 2*h - 17 + 17 - 4*h. -2*h Expand (-m + 0*m + 4*m)*(-2*m + 0*m - m)*(-2 - 1 + 1). 18*m**2 Expand 0*t**2 + t**2 + 6*t**2 + (0 - 2 + 0)*(-5 + 5 - 2*t**2) + (-2 + 2 - 2*t)*(2*t + 4*t - 7*t). 13*t**2 Expand (g - 2*g + 2*g)*(2 - 2 - g) + 10*g**2 - 27*g + 27*g. 9*g**2 Expand (4*i + 0*i - 6*i)*(-i - 2 + 2)*(-11 - 22 + 1). -64*i**2 Expand 0*r + 0*r + 2*r**2 + (-2*r - 3*r + 2*r)*(-5*r + 2*r + r) + (r + r + 0*r)*(-2*r + 0*r + r) - 3*r**2 + r**2 + 0*r**2 + 3 + r**2 - 3. 5*r**2 Expand (-o + 0*o - o)*(-3 + 111*o + 11 - 8). -222*o**2 Expand (6*q + 8*q - 20*q - 2)*(2*q**4 + 0*q**4 + 0*q**4). -12*q**5 - 4*q**4 Expand 2*r**3 + 3*r**2 - 3*r**2 + (0*r**2 - r**2 - r**2)*(33*r - 15*r + 1 - 10*r). -14*r**3 - 2*r**2 Expand (3*h + h - 2*h)*(2 - 1 - 2)*(-2 + 2 - 2) - 2 + 2 - h + (-4*h + h + h)*(5 - 5 - 2) - 3 + 3 + 2*h. 9*h Expand -3*a**4 - a**4 - 3*a**4 + (-3 + 3 + 2*a)*(4*a**3 - 3*a**3 - 3*a**3) - a**4 + 2*a**4 + a**4 + a**4 - 3*a**4 + 3*a**4 + (1 + a**3 - 1)*(-2*a + 1 - 1). -10*a**4 Expand (4*v - v - 4*v)*(0*v**2 - v**2 - v**2) + (-5*v + 5*v - 3*v)*(1 + 3*v**2 - 1). -7*v**3 Expand (-19 - w + 19)*(2 - 2 + 1)*(3*w**2 - 2*w**2 - 4*w**2). 3*w**3 Expand (3 - 2 - 2)*(2*f - 6 + 6)*(5*f - 5*f + 4*f). -8*f**2 Expand (6*z - 12 + 12)*(-3 + 2 + 2). 6*z Expand -n**2 - n**3 + n**2 + (-4*n + 2*n + 0*n
{ "pile_set_name": "DM Mathematics" }
site? True Let k(x) = -x**3 - 3*x**2 + 5*x - 14. Let a(d) = -2*d**3 - 9*d**2 + 14*d - 41. Let w(r) = -4*a(r) + 11*k(r). Let z be w(6). Let o = z - -795. Is o prime? False Suppose -13*h + 14742 = -19*h. Let b = 33428 - h. Is b prime? False Is ((-4)/((-32)/1105400) - 5) + 9 a composite number? False Suppose 5*y + u = 14867433, -y + 1036361 = -3*u - 1937100. Is y prime? False Is (4 + -4 - -1151)*10/2 a prime number? False Let t be (24/20)/(-1)*(26 - 1). Let h be (-24)/t + 52/10. Suppose -4155 = h*b - 9*b. Is b prime? False Suppose -58027781 = -823*p + 53*p + 95604929. Is p prime? True Let y(r) be the second derivative of 1/20*r**5 + 1/3*r**3 + 19/12*r**4 - 3/2*r**2 - 24*r + 0. Is y(-16) a composite number? False Let y(g) be the first derivative of 2*g**3/3 - 4*g**2 + 8*g + 15. Let h be y(2). Suppose 5*i - 2*n - 9121 = h, -5*i + 9130 = -3*n - 2*n. Is i a prime number? True Let o be 4/26 - (170114/(-26) - -4). Let t = -4498 + o. Is t a composite number? True Let o(s) = 2*s - 25. Let r be o(15). Suppose j + r*m = -41, -7 = -4*j - 5*m - 156. Is -1749*((-4)/j)/(1/(-3)) composite? True Suppose 86896211 = 172*r + 29035927. Is r a composite number? False Let k be (-5)/((-5)/2) - (13 - 81931). Let u = k + -49279. Is u composite? True Let t = -105394 - -324773. Is t prime? False Let v(l) = -91*l**2 + 662*l**2 + 710*l**2 - 1 - 237*l**2. Let x(y) = -y**3 + 9*y**2 - 10*y + 15. Let c be x(8). Is v(c) a composite number? True Is -3 + ((-5399780)/(-3) - (-5)/((-210)/28)) prime? True Let t = 12575 - -642. Is t prime? True Suppose -49*p + 2026847 + 790016 = 0. Is p a prime number? True Suppose 31*d - 35*d = 348. Let v = d + 87. Suppose 0 = 7*r - 11*r + 5*n + 3533, v = 2*r - 4*n - 1774. Is r composite? False Suppose -4*k - 36 = -2*r, 3*r - 61 + 14 = 5*k. Let z(g) = -g**3 - 8*g**2 - 8*g - 5. Let s be z(k). Suppose -s*l - 96 = -412. Is l a prime number? False Let k be (16 - 14)*((-21)/6 - -3). Let w(c) = -10034*c**3 - 17*c - 18. Is w(k) prime? False Suppose 0 = 2*j + 2*j + 8, 2*d - 6648 = 3*j. Let o = 8258 - d. Is o prime? True Let j(u) = 17*u**3 + 3*u**2 - 2*u - 2. Let k be j(3). Let f = 16682 + -15858. Let p = f - k. Is p composite? True Let m(t) = 15097*t**2 + 1966*t + 9798. Is m(-5) a composite number? False Let d = -1923 + 5372. Is d a prime number? True Suppose 4*l = -l + 1775. Suppose 0*y - 2*y = -2*v - 960, -2*y + 3*v = -956. Let d = l + y. Is d prime? True Suppose -6*k = -102539 + 10325. Suppose -4*n = 4*s + 1397 - k, 0 = 2*s + 4*n - 6990. Is s a prime number? True Let d(q) = 96*q**2 + q. Let v = -49 - -51. Suppose -8*g + 6 = -v*g. Is d(g) prime? True Is 29452 - (-1 + 180/15) prime? False Let f(x) = 3772*x - 72. Let g(d) = 1257*d - 23. Let a(t) = -2*f(t) + 7*g(t). Is a(6) a composite number? True Suppose 3*h - 135345 = 4*p, -130*h + 132*h - 5*p = 90244. Is h a prime number? False Suppose 0 = n - 4*c - 927155, -186*n = -181*n + 4*c - 4635967. Is n a prime number? True Suppose -5*l + 434441 = -454879 + 237205. Is l a composite number? False Let f(i) = 315*i**2 - 9*i + 1403. Is f(-36) prime? True Let v = 2779119 + -1657396. Is v prime? True Let a = -13618 + 24018. Let t = a + -4663. Is t a prime number? True Let t(y) = -y**3 - 5*y**2 + 5*y - 8. Let m be t(-6). Let a be (-2)/(-24)*m - 1/(-6). Suppose 0 = -p + 3*w + 193, a*p = -2*p - 2*w + 370. Is p prime? False Let w = -673509 - -374345. Is (w/(-174))/((-2)/(-3)) prime? True Suppose -19*y + 14*y + 4760553 = 16*y. Is y composite? True Suppose -226*m - 2549305 - 31618 = -243*m. Is m a prime number? False Let c(y) = y**3 - 24*y**2 + 24*y - 26. Let f be c(23). Let t be f*((-4366)/6 + 4). Let m = t + -790. Is m a composite number? False Let p(m) = -96*m + 49. Let o(k) = 95*k - 50. Let s(i) = -4*o(i) - 3*p(i). Is s(-19) a composite number? False Let s = 6579 - 3411. Suppose 4*h = -4*n + s, 0 = h - n + 4*n - 782. Is h composite? False Let n = -13666 - -138125. Is n prime? True Let m(q) = 2*q**2 + 2*q - 1. Suppose -43 + 48 = 5*o. Let p be m(o). Suppose 478 = 2*t + 4*f, 4*t - p*t - f = 233. Is t composite? True Let l(y) = 1396*y**2 + y. Suppose 3 = -16*j + 19. Is l(j) a prime number? False Let o(f) be the first derivative of 6 + f**2 + 2/3*f**3 + 0*f. Is o(-2) a composite number? True Let z(i) = -9*i**2 + 22*i + 16*i**2 - 11 - 9 - 5*i**3 + 1. Is z(-8) prime? False Let h be ((-16692)/(-10))/((-16)/(-40)). Let b = 12328 - h. Suppose b = 5*u - 2*x, -3*u + 5*x + 4879 = x. Is u composite? True Let a be 1/7*(-35)/(-5)*13. Suppose 15*h = -a*h + 19628. Is h a composite number? False Let y = 445 + -445. Suppose -9*t + 12395 - 4232 = y. Is t a composite number? False Let a = -7 - -11. Let x(v) = 236*v**3 + 4*v**2 - v + 9. Let q(d) = d**3 - d - 1. Let c(w) = a*q(w) + x(w). Is c(2) a composite number? False Suppose 0 = -q + 2*j + 42339 + 4902, -j = 2*q - 94487. Suppose 6*h - 42601 = q. Is h composite? True Suppose 291*r = 277*r + 56. Suppose 15*m - r*q = 13*m + 2012, -2*q = 4*m - 3984. Is m a prime number? False Suppose -5*r - 3*z = -11109, -5364 = -4*r + 3*z + 3507. Let g be 42883/(-37) + (9 - 3). Let i = g + r. Is i composite? True Suppose 84*y + 5*u + 410774 = 88*y, 0 = 4*y - 4*u - 410780. Is y a composite number? False Let n = 807 + -338. Suppose 4*r + 5*u = -2, 0 = 5*r + 4*u - 1 - 1. Suppose n = i + r*y, 2*y - 7*y = 5. Is i composite? True Let l(j) = -163*j**2 - 22*j - 55. Let b(g) = 81*g**2 + 11*g + 27. Let m(k) = -7*b(k) - 4*l(k). Is m(-5) a prime number? False Let j(u) = -32 + 16*u - 14*u + u. Let v be j(17). Suppose -v*h + 63 = -51. Is h prime? False Let r = -204 + 224. Let g(u) = 170*u + 193. Is g(r) a composite number? False Let z(m) = 12*m - 12. Let w be z(5). Suppose 6*k + w = 14*k. Suppose 0 = -k*d + 18*d - 6252. Is d prime? True Suppose -2*j + 15 = j, 5*i + 4*j - 45 = 0. Let y(l) = -25*l + 277. Let g be y(11). Suppose -4*k + 1070 = -0*r - i*r, 0 = -g*k + 5*r + 540. Is k composite? True Let z(l) = -518*l**3 - 326*l**3 + 5*l + 7 - l**2 + 145*l**3. Is z(-2) a composite number? True Let w = 26 + -23. Suppose -w*b - 2 = 4. Is (628/10)/(b/(-5)) composite? False Let c(g) = 4*g**2 + 8*g + 2. Let t be c(-9). Suppose -464 = -j + t. Is j composite? True Suppose 13*v - 2874746 = 1617873 - 133654. Is v prime? False Suppose -3*k + 1281 = -2931. Suppose 4*p + 2*h = 5*h + k, -2*p - 4*h = -702. Suppose -5*r + p + 2791 = 3*f, 5*r - 3140 = -5*f. Is r composite? True Let u(p) = -6*p**3 + p**2 + 19*p - 12. Let i be u(8). Let f = 5719 - i. Is f a prime number? False Suppose -4848*t + 4873*t - 8422475 = 0. Is t composite? False Let r(l) = l**2 - 3*l + 9. Let n = 34 - 28. Let o be (-1 + 0 - (n - 8))*-10. Is r(o) a composite number? False Let w be ((-2)/(-10))/(17/255). Suppose 3*c - 4*c = q - 2845, w*q = 0. Is c a composite number? True Let l be 1662/4 + (-15)/(-10). Suppose 6*t + l = -1377. Is (-1)/((-5)/20) - t a composite number? True Let c(l) = -l**2 + l + 45. Let p be c(-5). Let v = 536 - p. Is v a composite number? False Let q be ((-160)/(-40))/(4/82). Suppose 6*j - 580 = -q. Is j a prime number? True Let g(u) = -u**2 + 107 + 671 + 115 - 5*u. Is g(0) prime? False Let q(c) = c + 1. Let m(i) = -606*i + 37. Let u(f) = m(f) - 5*q(f). Is u(-9) prime? True Suppose 322 = 12*v - 218. Is (-3)/1 + (52537 - v) a prime number? True Suppose 4*j + 81346 = -2*p + 1569788, -p - 1860528 = -5*j. Is j composite? False Suppose 45 + 27 = -c. Let q = 881 + c. Is q prime? True Let n be 24 + -18 + 2*(-2 + 1). Suppose n*w + 3*i = -2*i + 10, -4 = 5*w - 2*i. Suppose 4*v - 2693 - 4151 = w. Is v composite? True Let w(v) = -v**3 + 34*v**2 + 74*v - 69. Let j be w(36). Is 118540/25 - j/5 a composite number? True Let v(h) = 7774*h**3 - 15*h**2 - 249*h + 2919. Is v(11) a prime number? False Let c(i) = 143*i**2 - 111*i + 8. Let a be c(-21). Suppose -k + 9*l = 14*l - 21794, 3*k - 5*l - a = 0. Is k a prime number? True Let j(p) = 15075*p + 1514. Is j(7) prime? False Let n be 3/(-4) - 713/(-92). Let c be (-2)/n - 69/(-21). Suppose -471 = -6*s + c*s. Is s prime? True Suppose 0 = -0*p - 2*p + 4. Suppose -p*v + 3*v - 46773 = -5*g, 0 = 5*g - 4*v - 46783. Is g composite? True Suppose 484 = -12*n - 164. Is ((-2566)/(-4))/((-27)/n) a prime number? True Suppose 0 = 4*o - c - 140492, o - 6*o - 3*c = -175632. Suppose -384*h - o = -396*h. Is h prime? True Let l(k) = 2846*k**2 +
{ "pile_set_name": "DM Mathematics" }
of 20120 and 60360? 60360 Calculate the smallest common multiple of 8 and 312206. 1248824 What is the common denominator of -107/16632 and -79/425040? 3825360 Calculate the smallest common multiple of 1248 and 17160. 68640 What is the smallest common multiple of 32550 and 4? 65100 Calculate the common denominator of 95/158446 and 19/154. 12200342 Calculate the lowest common multiple of 1422 and 46926. 46926 Calculate the common denominator of -9/13 and -3/185926. 185926 What is the least common multiple of 64904 and 1220? 324520 Calculate the common denominator of -35/32 and -89/1176. 4704 Calculate the common denominator of 43/359360 and -97/16. 359360 Calculate the smallest common multiple of 7148 and 4. 7148 Calculate the smallest common multiple of 6 and 546430. 1639290 Find the common denominator of -127/3960 and -37/28170. 1239480 What is the smallest common multiple of 2070 and 174225? 1045350 Find the common denominator of 111/20 and 13/3084396. 15421980 What is the lowest common multiple of 531 and 15753? 47259 Calculate the common denominator of 55/177123 and -123/322. 2479722 Find the common denominator of -97/24 and -83/396684. 793368 What is the lowest common multiple of 3504 and 162? 94608 Calculate the common denominator of -91/21120 and -47/7. 147840 What is the common denominator of -1/540 and -119/900? 2700 Calculate the least common multiple of 28 and 692. 4844 What is the common denominator of 157/13800 and -109/1000? 69000 What is the common denominator of 121/24 and -89/385968? 385968 Find the common denominator of 115/6 and -41/5568226. 16704678 Calculate the lowest common multiple of 2541 and 51. 43197 Calculate the lowest common multiple of 150 and 43590. 217950 Calculate the lowest common multiple of 278392 and 6256. 556784 Calculate the smallest common multiple of 1 and 162809. 162809 Calculate the common denominator of 77/32 and -55/1072. 2144 Calculate the common denominator of 67/12495 and 39/272. 199920 Calculate the lowest common multiple of 1914 and 5742. 5742 Find the common denominator of -55/27349 and -11/54698. 54698 Calculate the common denominator of 149/185706 and 1/20634. 185706 Calculate the least common multiple of 18786 and 6262. 18786 Calculate the smallest common multiple of 2337 and 328. 18696 What is the smallest common multiple of 28974 and 231? 202818 What is the least common multiple of 1116 and 3816? 118296 What is the lowest common multiple of 14 and 36506? 255542 Calculate the common denominator of -9/157 and -73/201. 31557 What is the least common multiple of 252 and 5376? 16128 What is the smallest common multiple of 402 and 326826? 326826 What is the common denominator of 23/473 and 63/335? 158455 Calculate the common denominator of 43/33440 and 109/950. 167200 What is the smallest common multiple of 5830 and 1100? 58300 Calculate the least common multiple of 54 and 63. 378 Calculate the least common multiple of 99 and 32417. 291753 Calculate the least common multiple of 1463 and 4807. 33649 Calculate the lowest common multiple of 122484 and 449108. 1347324 Calculate the least common multiple of 1755 and 693. 135135 Find the common denominator of -31/427 and -23/610. 4270 Calculate the common denominator of 4/562023 and 46/189. 1686069 Find the common denominator of 73/396 and 1/4356. 4356 Calculate the smallest common multiple of 2768 and 3. 8304 What is the common denominator of 67/906 and -79/630? 95130 What is the common denominator of -9/40 and 107/196? 1960 Calculate the common denominator of -49/35880 and 35/6072. 394680 What is the lowest common multiple of 50108 and 4? 50108 Calculate the smallest common multiple of 17784 and 6669. 53352 What is the common denominator of -47/9020 and -71/2050? 45100 Calculate the smallest common multiple of 1797007 and 7. 12579049 What is the smallest common multiple of 7315 and 55385? 387695 What is the common denominator of -22/45871 and -97/39318? 275226 Calculate the smallest common multiple of 22518 and 3753. 22518 Calculate the least common multiple of 3718 and 338. 3718 What is the common denominator of -5/4 and 89/4075864? 4075864 Calculate the smallest common multiple of 240 and 240. 240 Calculate the common denominator of 49/9159 and 93/2. 18318 Calculate the common denominator of -89/30 and 1/350. 1050 Calculate the common denominator of -23/39216 and -13/1720. 196080 What is the common denominator of 117/51212 and 85/160952? 1126664 What is the least common multiple of 2275 and 123435? 4320225 Calculate the lowest common multiple of 6957 and 13914. 13914 Calculate the common denominator of -20/4371 and -83/10810. 1005330 Find the common denominator of -123/41780 and -69/1360. 2841040 Calculate the lowest common multiple of 35 and 211910. 1483370 Calculate the least common multiple of 24 and 1123278. 4493112 What is the least common multiple of 32 and 303580? 2428640 What is the common denominator of 57/2374 and 15/13057? 26114 What is the lowest common multiple of 3552 and 14208? 14208 Calculate the common denominator of 29/551840 and 103/689800. 2759200 Find the common denominator of 83/18 and -47/1188. 1188 What is the smallest common multiple of 74299 and 3820? 1485980 What is the least common multiple of 24 and 162504? 162504 What is the common denominator of 63/547712 and 32/38511? 4929408 Calculate the common denominator of -3/190 and -59/148. 14060 Calculate the lowest common multiple of 16816 and 10. 84080 Find the common denominator of 83/763851 and 143/3516. 3055404 Find the common denominator of -187/3690 and 23/6150. 18450 What is the common denominator of 47/127542 and -1/1827? 2678382 What is the least common multiple of 227730 and 21? 1594110 What is the common denominator of -17/1664 and 83/201344? 201344 What is the lowest common multiple of 70 and 204? 7140 What is the lowest common multiple of 48 and 62536? 375216 What is the common denominator of -115/21384 and -25/4374? 192456 Calculate the least common multiple of 48 and 22384. 67152 What is the lowest common multiple of 125534 and 966? 2636214 Find the common denominator of -103/1628 and 115/3626. 79772 Find the common denominator of 79/40815 and 16/225. 204075 What is the least common multiple of 154880 and 8? 154880 Calculate the common denominator of 37/3322367 and 10/9. 29901303 Calculate the common denominator of -131/23100 and 37/231. 23100 What is the common denominator of 74/25203 and -131/1626? 50406 What is the common denominator of 101/3122 and 38/33? 103026 What is the common denominator of -29/185560 and 187/960? 4453440 Calculate the common denominator of 93/10430 and -25/154. 114730 Calculate the common denominator of -1/346050 and 62/34605. 346050 What is the common denominator of -64/467795 and 61/20? 1871180 What is the least common multiple of 38010 and 7602? 38010 What is the lowest common multiple of 1758 and 114? 33402 Find the common denominator of 10/466551 and 32/466551. 466551 What is the lowest common multiple of 768 and 768? 768 Calculate the smallest common multiple of 911368 and 40. 4556840 Calculate the lowest common multiple of 94169 and 11. 1035859 What is the common denominator of 29/2849 and 15/49? 19943 What is the common denominator of 47/554125 and -59/554125? 554125 Calculate the smallest common multiple of 108339 and 82075. 2708475 Find the common denominator of 62/250985 and 179/215130. 1505910 Find the common denominator of -121/486 and -173/10320. 835920 Find the common denominator of 87/40580 and -71/60. 121740 Calculate the lowest common multiple of 65839 and 790068. 790068 Calculate the least common multiple of 1470 and 980. 2940 Find the common denominator of -71/70 and -79/735. 1470 Calculate the common denominator of 67/62 and 87/115568. 115568 Find the common denominator of -79/369872 and 101/24. 1109616 Find the common denominator of -67/88 and -47/10608. 116688 Calculate the common denominator of 92/45 and -83/104310. 104310 What is the smallest common multiple of 3493 and 3992? 27944 Find the common denominator of -50/99 and -42/25. 2475 Calculate the smallest common multiple of 30682 and 12006. 276138 Calculate the common denominator of -121/125892 and 7/13988. 125892 Calculate the lowest common multipl
{ "pile_set_name": "DM Mathematics" }
5*w - 67 for a. -2 Solve 1012*q - 1008*q = -2*l + 6, -3*q - 4*l = -17 for q. -1 Solve p - 4*s + 10 = 0, -14*p + 9*p + s + 19 = -7 for p. 6 Solve 861*m - 865*m = 2*v - 10, 0 = -3*m + v + 10 for m. 3 Solve w + 3*j = -11, -3*w + 19 - 40 = 5*j for w. -2 Solve 5030*a - 5027*a - 14 = -q, 0 = -a - q + 8 for a. 3 Solve -f = -1, -1 + 14 = c + 6*f + 3*f for c. 4 Solve 0 = 5*o - u + 3, u - 188 = -5*o - 185 for o. 0 Solve -5*f + m = -17, -54 + 42 = -4*m for f. 4 Solve 9*n - 27 = 0, 3*n = v - 595 + 601 for v. 3 Solve -30 = 10*l + 5*p, 279*l - 278*l - p - 3 = 0 for l. -1 Solve -q = -6*y + 13 - 47, 5*q = -3*y + 38 for q. 10 Solve -3*l - 18*q + 20*q = -4, 4*q = -l - 8 for l. 0 Solve 3*i + 19 = 95*u - 100*u, 0 = -11*u + i + 57 for u. 4 Solve 2*b + 5*o = -10, -97*o + 111*o + 31 = -5*b for b. 5 Solve 15*s - 13*s = -w + 20, -6*s = -w - 76 for w. -4 Solve -3*w - 56*p + 53*p = -45, -4*w + 56 = 2*p for w. 13 Solve 3*l = 2*w + 12, 65*l + 78 = 4*w - 16 for w. -9 Solve 8*d + 5*m = 7*d - 27, -3*d + 3*m + 9 = 0 for d. -2 Solve -34*o + 4*j + 16 = -32*o, 0 = 2*o + j - 11 for o. 6 Solve 6930*l + 15 = 6927*l, 5 = -3*u - l for u. 0 Solve 3*f - 4*g = 1856 - 1887, -2*f = 5*g - 10 for f. -5 Solve 53 = -5*g - 52 + 95, 0 = -b - 5*g - 5 for b. 5 Solve -2*a = -3*n - 9, 4*a + 112 = -4*n + 100 for a. 0 Solve 2*a - 4*q = 4, 21051*q + 20 = -2*a + 21047*q for a. -4 Solve 6135*d + 48 = 5*x + 6143*d, 0 = x - d - 7 for x. 8 Solve -216 = -2*x + 3*n - 221, -4*x + 3*n = 1 for x. 2 Solve 0 = -2*t + 2*v + 10, 2234*v - 2229*v - 10 = -2*t for t. 5 Solve -4*x - p - 11 = 0, -2*p + 119 - 146 = 3*x for x. 1 Solve 4*l + 4*j = -4, 3*j + 9 = 5*l + 22 for l. -2 Solve -3*p = -5*w + 11, 1994 - 1990 = -2*w - 3*p for w. 1 Solve -15*r + 12*r = -0*j - 2*j - 11, 3*j = -r - 22 for r. -1 Solve 12*m + 48 = 3*w, -27 = -201*w + 204*w + 3*m for w. -4 Solve 0 = -4*y - 5*v + 35, -y + 5*v + 1 - 11 = 0 for y. 5 Solve 44725*t = 44729*t + 5*x - 41, x = 5*t - 15 for t. 4 Solve 17*b - 12*b = -2*r - 69, -5*b = -7*r - 174 for b. -3 Solve 8134*c + p - 17 = 8139*c, c + 2*p - 12 = 0 for c. -2 Solve l + 17 - 27 = -3*c, -4*c + 8 = -4*l for l. 1 Solve -5801*p + 5797*p - 30 = g, -4*g + 16 = -p for p. -8 Solve 15*p = -2*h - 90, 5*p - 5*h - 535 + 565 = 0 for p. -6 Solve -4*s - 16 = 0, -l - 18*s + 36*s = 13*s - 22 for l. 2 Solve -78*z = -74*z + 4, 3*i - 1 = z for i. 0 Solve 3*p = 33, 46*o - 47*o - 3*p - 5*p = -83 for o. -5 Solve -2*m = 5*j - 5, j + m - 3067 = -3066 for j. 1 Solve 3*u = o - 4, 2*o - 1648*u + 8 = -1650*u for o. -2 Solve -20 = -4*r - 4*s, 0 = -297*r + 301*r + 2*s - 14 for r. 2 Solve 3*w = 3, 4*q = -2*w + 2*w + 3*w - 39 for q. -9 Solve u + 12647 = 4*i + 12630, -5*i + 10 = -5*u for u. 3 Solve 5*g = -4*o + 20, 4*g - 5*o + 12 + 13 = 0 for g. 0 Solve 2*c - 2 = 2*g, 0 = -6*c + 3*c - 4*g + 17 for c. 3 Solve -n + 4*h + 47 = 31, -31 + 28 = 3*h for n. 12 Solve 8*r - 56 = -4*t, -2*r + 2*t + 10637 = 10665 for r. 0 Solve -5*g = 5*t + 15, -144*t + 48*t - g - 573 = 0 for t. -6 Solve -31 = -12*p + 15*p - 5*j, -2*p - 3*j + 30 = 0 for p. 3 Solve 14*u = 2*z + 16*u - 6, -2*u - 9 = -z for z. 5 Solve 26 = 11*z + n, -n + 5 = 3 - 2 for z. 2 Solve -10 = 2*p - d, 77 = 5*p - 5*d + 127 for p. 0 Solve 43*i - 4*v + 7 = 42*i, -3*i = -v + 10 for i. -3 Solve -4*l - 138*j - 28 = -127*j, 5*l = -5*j for l. 4 Solve 3*r + 14 = -4*s, -2 - 27 = -2*r + 5*s for r. 2 Solve 13*b = 23*b - 11*b - 8, 0 = 6*g - 4*b - 62 for g. 5 Solve -4*s = 4*r + 4, 17*r - 14*r = -5*s - 3 for s. 0 Solve 2*j + 3*h = 4, -2*j - 20*h - 215 + 151 = 0 for j. 8 Solve -2*c - 46 = 8*p, 3*c - 5 + 2 + 37 = -5*p for c. -3 Solve 2*l = -5*u - 309 + 294, 0 = -4*l - u - 21 for l. -5 Solve 4*r = 2*i + 6 - 22, 30 = -5*r + 5*i for r. -2 Solve -n + 2*g = 8, 2*n - 11*g + 8 = -9*g for n. 0 Solve g - 2*c - 12 = 0, -7*g - 3*c + 100 - 135 = 0 for g. -2 Solve -25*w = 2*z - 26*w - 1, 4*z + 23 = -3*w for z. -2 Solve 50*a - 49*a + u + 7 = 0, 2*a + 5*u = -29 for a. -2 Solve 51*r = 2*j + 53*r - 28, -5*j + 20 = -5*r for j. 9 Solve 4*w = -4*f + 4, -357 = -126*w + 129*w + 75*f for w. 6 Solve 2*c - 2*p = -2, 166968*c - 166967*c = 3*p + 1 for c. -2 Solve -q = 4*z - 13, -z - 5*q = -2 - 6 for z. 3 Solve 3*i + 6 = 2*s, -379*s = -4*i - 382*s - 25 for i. -4 Solve -9965*z + 9966*z = 2*x + 19, -3*z - x + 22 = 0 for z. 9 Solve 729*y - 730*y + 2*x - 9 = 0, -2*x - 5 = y for y. -7 Solve 699*p + 4 = -2*m + 703*p, -4*p = -5*m + 8 for m. 4 Solve k - 6 = -2*g, 2*g = -19*k + 22*k + 14 for g. 4 Solve -3*w - 42*l + 53 = -44*l, w = 3*l + 20 for w. 17 Solve 0 = -2*p - 2, 0*p = -2*l - 2*p - 10 for l. -4 Solve -52 = 4*h - 4*u, 10666*h = 10669*h + 2*u - 31 for h. 1 Solve 4*y = 2*z + 28, 2*z = -y - 190 + 177 for z. -8 Solve -4*n + 1 = 5*c, 0 = -39*n + 37*n + 4*c - 6 for n. -1 Solve -21*o - 6 = -s - 19*o, 4*s = 2*o - 6 for s. -4 Solve -6*i = 42, 4*b + 2600*i = 2595*i - 43 for b. -2 Solve 0 = 6*m + 2*o - 120, 0 = -26871*m + 26869*m - 3*o + 40 for m. 20 Solve -3893*d + 8 = -2*y - 3897*d, -3*d - 6 = 4*y for y. 0 Solve -5*u - 3*v = 39, -2*u + 203 = 4*v + 241 for u. -3 Solve -92*c + 43 = -5*f - 90*c, -5*f - c = 46 for f. -9 Solve -31*x - 8 = 34*x - 67*x - 3*m, -3*m = -12 for x. -2 Solve -3*j + 33 = 5*c + 55, c = -11*j - 46 for j. -4 Solve -5*h - 2*a - 5 = 0, -4*a + 17 = -156*h + 157*h for h. -3 Solve -118 + 130 = -3*b - 4*y, 12 = -4*y for b. 0 Solve -t + 2*s = -2, -24 = 36*t - 40*t + 4*s for t. 10 Solve 45 - 20 - 21 = 2*d + 2*q, -2*d - 3*q + 4 = 0 for d. 2 Solve -5*p - 3*b - 5 = -6*b, 0 = 5*b for p. -1 Solve 0 = -4*q + 3*h - 2, 3*q + 12 = -3*h - 0*h for q. -2 Solve 0 = -3*o + 6, -5*q - o + 484 = 467 for q. 3 Solve -2*b + 375*i + 4 = 374*i, 3*b + 5*i = -59 for b. -3 Solve 3*j = 200*q - 202*q - 7, -4*j = -4 for q. -5 Solve p - 832 + 827 = r, 23 = 5*p - 4*r for p. 3 Solve 18*s + 2*x - 5 = 17*s, -5*x + 10 = 3*s for s. -5 Solve 4*i + 18 = -5*p, 0 = 7*p - 4*p + i + 1 for p. 2 Solve -3*k - 36 = 5*x, k - 600*x = -605*x - 32 for k. -2 Solve -17*i - 5*v = 607 - 655, -v + 16 = 5*i for i. 4 Solve 3*j = -3*z + j - 10, 0 = -z + 24*j - 23*j for z. -2 Solve f - 2 = 0, -5*y - 14*f = -10*f - 53 for y. 9 Solve 2*v + 5*c - 70 = -151, -51 = -3*v + 4*c for v. -3 Solve -62*t + 1 = -67*t + 2*a, -1 = -t + a for t. -1 Solve 36 = -0*k - 13*k + 17*k, 2*k - 24 = -3*y for y. 2 Solve -3*w = 4*t - 2*w + 15, -3*w - 13 = 4*t for t. -4 Solve 13*m - 4*q - 98 = 7*m - 4*m, -15 = -5*q for m. 11 Solve -2*o + 8 = 5*f, 3*o + 96 - 83 = 5*f for f. 2 Solve u - 11 = 4*x, -3*x - 8*u = -13*u - 13 for x. -4 Solve 69*x - 2*a - 24 = 65*x, 3*x = -3*a - 36 for x. 0 Solve -3*t - 21 = 19*z - 87, 0 = 4*t - 5*z + 3 for t. 3 Solve -6*n + 30 = 0, -272*z - 5 = -277*z + 4*n for z. 5 Solve 4*a + 20 = -28*h + 29*h, -2*a - h = 4 for a. -4 Solve -14*n + 11*n - 21 = 3*k, -12*n = -k + 58 for n. -5 Solve -y = 5*r - 25, -328 + 363 = 2*y - 5*r for y. 20 Solve -133*a + 131*a = -3*s + 12, 4*a + 8 = 2*s for a. 0 Solve 0 = -6*p + 3*h - 135, 111 = 89*p - 94*p + h for p. -22 Solve 7*o - 5 = 12*o, 4*o = -5*i + 6 for i. 2 Solve -8 = -2*x - 4*c, 3*x + 8519*c + 32 = 8524*c for x. -4 Solve 3*f + 4*u - 4292 + 4323 = 0, -u = 4 for f. -5 Solve -3*p - 32 = 314*c - 312*c, 11*p + 3*c = -100 for p. -8 Solve -2*x = -2*p - 24, 4*x - 9185 = 12*p - 9113 for x. 9 Solve 5*p = 5*l + 4*p + 35, -4*l - 2*p = 14 for l. -6 Solve 4*x + 5*y + 22 = 0, 0 = x + 4*y - 87 + 98 for x. -3 Solve 5*z = 2*i + 9, 102*i - 5*z = 101*i - 7 for i. -2 Solve 0 = 3*m - 5*j + 19, -3*m - 5*j + 20 = 19 for m. -3 Solve -5*y + 26 = -3*h, 13*y - 4 = 15*y + 6*h for y. 4 Solve -1883*k + 1882*k - 61 = -5*g, k - 30 = -2*g for k. 4 Solve 6*u - 16*d + 11*d + 4 = 0, -d = 5*u + 24 for u. -4 Solve 5*v - 13 = 3*d, -43*d - v = -45*d + 3 for d. 4 Solve 55*z = -4*l + 60*z + 68, 0 = -3*l + 4*z + 52 for l. 12 Solve 5*n = 4*k + 40, -2*n - 8*k - 20 = 3*n for n. 4 Solve 15 = 5*d, 2*d - 17 = -4*w + 9 for w. 5 Solve -21*f + 0*j - 4*j - 17 = -22*f, 3*j = -12 for f. 1 Solve 16 = -434*y + 439*y - 2*h, y - 3*h = 11 for y. 2 Solve -2*l - 63*b + 20 = -67*b, 4*l - 7*b = 37 for l. 4 Solve -3*d - 9*g + 14 = 47*g - 60*g, -3*d = -2*g - 4 for d. -2 Solve 24*y = 27*y + 9, 8*x - 5*y + 1 = 24 + 8 for x. 2 Solve -5*j - 30 = -5*o, 2*o + 4*j - 48 = -6 for o. 11 Solve 3*b = -t + 22, 4*b + 75*t - 16 = 71*t for b. 9 Solve -5*r + 2*c = 5, 4*r + 5*c - 189 = -226 for r. -3 Solve 5*r - 3*i = 4, 55 = 34*r - 30*r +
{ "pile_set_name": "DM Mathematics" }
rd derivative of 179*i**9/504 + 5*i**8/336 - i**7/70 - 27*i**5/4 + 25*i**2 + 2*i - 1. Find the third derivative of s(n) wrt n. 21480*n**3 + 300*n**2 - 72*n Let d = 55 - 55. Suppose 0*z = -z + 1, -5*o - 2*z + 22 = d. Find the second derivative of 59 - g**o - 59 - 2*g + 11*g wrt g. -12*g**2 Let d(h) be the third derivative of -h**7/10 + 43*h**5/30 - 3361*h**3/2 - 10259*h**2. Find the first derivative of d(x) wrt x. -84*x**3 + 172*x Let q(k) = -k**3 - 14*k**2 + 41*k - 20. Let b be q(-17). What is the second derivative of 138049 + 141*r + b*r**2 - 138049 wrt r? 300 Let w(b) be the first derivative of 0*b + 0*b**2 + 257/4*b**4 - 73*b**3 - 153. What is the third derivative of w(t) wrt t? 1542 Find the second derivative of -714*w**2 - 2*w**5 - 484 + 2*w**3 + 1725 + 1053 - w**4 + 2*w - 2*w**3 wrt w. -40*w**3 - 12*w**2 - 1428 Let v(t) be the second derivative of 5341*t**6/30 - t**4/12 + t**3/2 + 191*t**2/2 + 9*t - 149. What is the third derivative of v(q) wrt q? 128184*q Find the third derivative of -5 - 20*z**2 - 10 - 9*z**2 + 55*z**2 - 5*z**2 + 2796*z**6 - 5*z wrt z. 335520*z**3 Let l be 26/(5*10/125*(0 - -5)). Let v(j) be the third derivative of -j**3 + 1/3*j**4 + l*j**2 + 0*j + 0. Find the first derivative of v(p) wrt p. 8 Let f(a) = 1109*a**3 - 707*a**2 - 4*a + 39. Let y(j) = 2219*j**3 - 1415*j**2 - 7*j + 65. Let n(h) = 5*f(h) - 3*y(h). Find the third derivative of n(t) wrt t. -6672 Let u(n) = -9*n**3 - 2*n**2 + n - 2. Let d be u(2). Let g = d - -181. What is the derivative of 212*m - g*m + 33*m**2 + 37 - 111*m wrt m? 66*m Let c(o) = -2*o + 19 - 9*o**3 - 16*o**3 + 10*o**2 - 12*o**2 - 169. Let f(l) = -l**2 - l - 2. Let p(x) = c(x) - 2*f(x). What is the derivative of p(q) wrt q? -75*q**2 Let n = 30 - 27. What is the third derivative of -20 - 17 - 238*d**3 + 3*d**2 + 31*d**6 + 238*d**n wrt d? 3720*d**3 Suppose g - 189 = 5*i, 4*i - 11 = -g + 178. Find the second derivative of -153*s + 91*s - g*s**3 - 148*s wrt s. -1134*s Let k = -26647 - -26647. Let r(b) be the third derivative of 3*b**3 + k*b - 1/24*b**4 - 47*b**2 + 0. Find the first derivative of r(t) wrt t. -1 What is the derivative of 2061 - 736*t**3 - 387*t**3 - 344 wrt t? -3369*t**2 Let k(u) be the first derivative of 0*u + 2/3*u**3 - 15 - 2*u**2 + 16*u**4. What is the third derivative of k(o) wrt o? 384 Let l(z) = -z**2 - 27*z + 32. Let w be l(-28). What is the third derivative of -17*h**4 + 12*h**w + 7*h**4 - h**3 - 23*h**2 + 3*h**4 wrt h? 120*h - 6 Suppose 5*x + 2*j - 60 = 0, x - 3*j = -4*x + 35. Suppose x*r = 8*r + 16. Differentiate -3 + 7 + r*q**3 - 12 - 12 wrt q. 24*q**2 Let r(y) = -2*y**2 - 7*y + 6. Let a be r(5). Let j = -72 - a. Differentiate j - s - 5*s + 0*s wrt s. -6 Let m(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 - 2/105*i**7 + 112*i**2 - 1/6*i**6 + 0 - 13/5*i**5. What is the third derivative of m(t) wrt t? -96*t - 120 Suppose -33 = -9*d - 2*d. Let o be ((-5)/3)/((-2)/6). What is the second derivative of o*c**3 - 19*c**3 - 9*c - 3*c**d wrt c? -102*c Let o(a) be the second derivative of -9*a**4/2 + a**3/6 - 621*a**2/2 - 1099*a. Find the first derivative of o(h) wrt h. -108*h + 1 Let i be (537/12)/(16/64). Find the second derivative of 358 + 156*n**4 - i - 179 - 52*n wrt n. 1872*n**2 Let x(t) be the first derivative of 13*t**4 - 13*t**3/3 + 502*t - 171. Let r(o) = 35*o**3 - 9*o**2 + 335. Let c(n) = -7*r(n) + 5*x(n). Differentiate c(b) wrt b. 45*b**2 - 4*b Let b(z) = z**3 - 7*z - 2. Let u be b(6). What is the second derivative of u*l**5 + 179*l + 12*l**5 - 26*l wrt l? 3680*l**3 Let v(c) = 203*c - 89. Let j(i) = -408*i + 177. Suppose -28 = 2*g - 40. Let p(x) = g*j(x) + 11*v(x). What is the derivative of p(d) wrt d? -215 Let o(r) = -r**3 - 11*r**2 - 31*r - 2. Let h be o(-7). What is the first derivative of -269*m + h + 721*m - 269*m + 0*m**2 + m**2 wrt m? 2*m + 183 Let h(i) be the third derivative of -761*i**5/60 + 1139*i**4/24 + i**3/6 - 6*i**2 - 17*i. Find the second derivative of h(m) wrt m. -1522 Suppose 0 = 18*r - 44 + 44. Let u(g) be the second derivative of 4/3*g**4 + 0*g**3 + r + 16*g + 15/2*g**2. Differentiate u(w) wrt w. 32*w Let u be (-2 - 1)*(-1 - (2 + -2)). Suppose 0*o = u*z - 5*o - 43, -4*z = -3*o - 39. Find the second derivative of z*y**3 - 181*y + 188*y + 9*y**3 wrt y. 90*y Suppose 10*w - 3 = 17. What is the second derivative of -2*t + 3411*t**w - 3411*t**2 - 12*t**5 + 82*t wrt t? -240*t**3 Let c(p) be the third derivative of -39*p**2 + 0 + 0*p**5 - 103/210*p**7 + 0*p**4 + 0*p**6 + 58/3*p**3 + 0*p. What is the first derivative of c(g) wrt g? -412*g**3 Let a(z) be the first derivative of -z**6/3 - 518*z**3 - 29*z**2/2 - 5*z + 2241. What is the second derivative of a(c) wrt c? -40*c**3 - 3108 Let x(p) be the first derivative of -71*p - 63/2*p**2 + 78. Find the first derivative of x(a) wrt a. -63 Let k(m) = m**5 + m**3 + 5*m - 2. Let i(g) = -22*g**5 - 7*g**4 + 3*g**3 - 11*g - 14. Let l(a) = -i(a) + 3*k(a). What is the second derivative of l(d) wrt d? 500*d**3 + 84*d**2 Suppose 0 = 3*r - 1 + 7. Let i(n) = 21*n + 45. Let f(d) = -2*d - 1. Let a = 616 - 617. Let x(p) = a*i(p) + r*f(p). What is the first derivative of x(y) wrt y? -17 Let q(w) = 17759*w**3 - 19*w**2 + 27384. Let v(n) = 1973*n**3 - 2*n**2 + 3043. Let y(r) = -2*q(r) + 19*v(r). Differentiate y(x) with respect to x. 5907*x**2 Find the third derivative of -n + 5694*n**4 + 594*n**5 - 417 - n + 8*n**2 + 87*n**4 + 0*n - 596*n**5 wrt n. -120*n**2 + 138744*n What is the third derivative of 12*s**3 + 40*s**4 - s**2 - 13*s**3 + 219*s**4 + 5*s + 224*s**4 wrt s? 11592*s - 6 Let f be 5 + (-7 - -7) + -3. Differentiate -618*a + 5 + 4*a**f + 618*a + 6*a**3 wrt a. 18*a**2 + 8*a Let z be ((6 - 1) + -4)/(2 - 1). Let r be (-5)/(-25)*(z + 24). What is the third derivative of -1 + 1 + 21*m**r - 26*m**2 + 8*m**2 wrt m? 1260*m**2 Let w(x) = -81*x + 139. Let a(c) = 79 - 41*c - 48 + 39. Let i(b) = 9*a(b) - 4*w(b). What is the derivative of i(v) wrt v? -45 Let u(l) = -30 + 152*l**4 + 50 + 16*l**2 - 9*l**2 - 4. Let q(y) = 151*y**4 + 6*y**2 + 15. Let c(r) = 6*q(r) - 5*u(r). Find the third derivative of c(f) wrt f. 3504*f Let j(m) be the second derivative of m**6/15 - m**5/20 - 257*m**4 - 5*m**3/3 + 363*m**2/2 - 5*m + 207. What is the second derivative of j(p) wrt p? 24*p**2 - 6*p - 6168 Let q(h) be the first derivative of 997*h**3/3 + 683*h - 288. Differentiate q(z) wrt z. 1994*z Let y be 72 - 6/((-6)/(-5)). What is the second derivative of -14*d**2 - 27*d**2 - 20 + 7*d - 2*d - y*d**2 wrt d? -216 Let z(f) be the third derivative of 3491*f**9/504 - 787*f**5/10 + 178*f**2 + 24. Find the third derivative of z(o) wrt o. 418920*o**3 Let i(z) = z**2 - z. Let u(d) = 18*d**5 - 2*d**3 + d**2 + 6*d. Suppose -23 = -17*g - 6. Let p(s) = g*u(s) + 6*i(s). What is the third derivative of p(n) wrt n? 1080*n**2 - 12 Let u(i) be the second derivative of 7673*i**3/6 + 9933*i**2/2 + 3331*i - 3. What is the derivative of u(x) wrt x? 7673 Let p(a) = 6*a**2 + a - 2. Let y(o) = 2721*o**3 + 1395*o**2 + 12*o - 24. Let g(r) = 12*p(r) - y(r). Find the third derivative of g(m) wrt m. -16326 Suppose 0 = -3*m + m + 10. Suppose -11 - m = -8*v. What is the second derivative of -5 + 5 + 4*p**v + 0*p + 2*p wrt p? 8 Let d = -292 - -303. What is the first derivative of -8*c**2 + 36*c**2 + d*c**2 - 77 wrt c? 78*c Suppose -63 = -6*b + 21. Find the third derivative of 28*k**2 - b*k**2 + 10*k**4 + k**3 + 26*k**2 wrt k. 240*k + 6 Let a(b) = -3*b**2 + 1482*b - 3687. Let v(z) = -3*z**2 + 1484*z - 3687. Let m(t) = 3*a(t) - 2*v(t). What is the first derivative of m(j) wrt j? -6*j + 1478 Let i be -1 + (3 - (-2 - -132)). Let o = i - -128. Find the first derivative of -2 + o - 17*z + 12 + 5 wrt z. -17 Let q be (132/(-16))/(4/(-464)). Let y(h) = -h - 3. Let j be y(-5). What is the third derivative of 12*f**4 - q*f + 957*f + 20*f**j wrt f? 288*f Let m(a) be the first derivative of 54*a**7/7 - a**4/2 - 791*a**3/3 + 820. Find the third derivative of m(f) wrt f. 6480*f**3 - 12 Find the second derivative of -158*c**2 - 421*c**2 - 228*c + 661*c - 2*c**4 wrt c. -24*c**2 - 1158 Find the third derivative of 1471*c**2 - 441*c**4 - 87*c**2 - 302*c**5 + 880*c**4 + 214*c**2 - 442*c**4 wrt c. -18120*c**2 - 72*c Let o(f) = -2946*f - 1902. Let n(b) = 4418*b + 2857. Let g(l) = -5*n(l) - 7*o(l).
{ "pile_set_name": "DM Mathematics" }
- 1 - d + 0*d + d**2. Let o(k) = -2*k**2 + 3*k - 2. Let y(n) = -4*g(n) + o(n). Let t(b) = -2*b**2 + b - 2. What is 2*t(f) + 3*y(f)? 2*f**2 - f + 2 Let o(q) = 3*q**3 + 4*q**2 - 5*q - 1. Suppose -5*h = -7 - 8. Let r = -29 - -39. Let f(w) = -r*w + 2*w**3 - 1 + 2*w + 4*w + 3*w**2. Calculate h*o(x) - 4*f(x). x**3 + x + 1 Let a(x) = -2*x - 4. Let h = -43 - -43. Let j(i) = 0*i + 2*i + 5 + h*i. Suppose 0 = -2*m - 3*m - 30. What is m*a(v) - 5*j(v)? 2*v - 1 Let m(q) = 2*q**3 + 4*q**2 + 4*q. Let l(i) = i**3 - i**2 - i + 1. Let u(s) = -3*l(s) - m(s). Let x(f) = 6*f**3 + f**2 + f + 4. Determine -4*u(y) - 3*x(y). 2*y**3 + y**2 + y Let h(b) = -5*b + 1. Let k(f) = 483*f + 4. What is -6*h(u) + k(u)? 513*u - 2 Let c(l) = 5*l + 5. Let b(i) = i. Determine 4*b(r) - c(r). -r - 5 Let b(s) = -3*s**2 + 17*s - 4. Let c be b(5). Let r be (3/2)/(c/48*-6). Let d(y) = y**2 - 2. Let z(h) = h - 3. What is r*z(x) + 3*d(x)? 3*x**2 - 2*x Let l(h) = 12*h + 27. Let t(p) = 3*p + 1. Determine l(d) - 6*t(d). -6*d + 21 Let m(z) = 4*z**2 - 8*z. Let l(k) be the first derivative of k**3 - 7*k**2/2 + 47. Give -6*l(n) + 5*m(n). 2*n**2 + 2*n Let k(d) = 5*d**3 - 3*d**2 - 5*d - 3. Suppose 17*c - 39 - 12 = 0. Let t(b) = 11*b**3 - 7*b**2 - 11*b - 7. Give c*t(j) - 7*k(j). -2*j**3 + 2*j Let k(v) = -738*v**2 - 4. Let d(o) = 48707*o**2 + 265. Give 4*d(h) + 265*k(h). -742*h**2 Let w(z) = 15*z - 2. Let b(y) = 8*y - 1. Let k(a) = 3*a + 13. Let n be k(-8). Give n*b(g) + 6*w(g). 2*g - 1 Let p(s) = 4*s - 4. Let n(g) = 21*g - 21. Let w(b) = -34*b + 181. Let i be w(5). Give i*p(l) - 2*n(l). 2*l - 2 Let r be -3*((-5 - 0) + 8). Let o(i) = 17*i**2 - i - 13. Let c(l) = 4*l**2 - 3. Calculate r*c(a) + 2*o(a). -2*a**2 - 2*a + 1 Let w(o) = 27*o**2 + 5*o - 5. Let h(b) = -264*b**2 + 33*b + 44. Let s(z) = -133*z**2 + 20*z + 22. Let n(y) = 6*h(y) - 11*s(y). Give 5*n(d) + 22*w(d). -11*d**2 Let u(p) = -4*p**2 + 7*p - 8. Let x(t) = -t**2 + t. Give -u(r) + 6*x(r). -2*r**2 - r + 8 Let g(n) be the second derivative of -9*n**5/20 - n**4/2 - 2*n**3/3 + 6*n + 18. Let i(d) = 18*d**3 + 11*d**2 + 7*d. Give -7*g(o) - 4*i(o). -9*o**3 - 2*o**2 Let j(i) = 9*i + 12. Let c(d) = -6*d - 8. Give -8*c(x) - 5*j(x). 3*x + 4 Let q(z) = -2*z**3 + 5*z**2 - 5*z - 3. Let y(j) = -2*j**3 + 6*j**2 - 7*j - 4. Calculate -3*q(p) + 2*y(p). 2*p**3 - 3*p**2 + p + 1 Let c(n) = 4*n**3 - 2*n**2 - 2*n + 2. Let i(a) = 21*a**3 - 11*a**2 - 11*a + 11. Let h = 225 + -227. Give h*i(x) + 11*c(x). 2*x**3 Let j(u) = 2*u**3 + 3*u**2 - u + 1. Let g(c) = -2*c**3 - 3*c**2. Let k(f) = 3*g(f) + 2*j(f). Let y(i) = -4*i**3 - 7*i**2 - 5*i + 5. Calculate 5*k(n) - 2*y(n). -2*n**3 - n**2 Let y(k) = -4*k - 23. Let d(r) = 5*r + 25. Give -3*d(c) - 2*y(c). -7*c - 29 Let r(a) = -a**3 - a**2 - a - 1. Let l = 6 + -1. Let z(t) = -5*t - 1 + 24*t**3 - 29*t**3 - 4*t**2 - l. Let f = -6 + 0. Determine f*r(x) + z(x). x**3 + 2*x**2 + x Suppose -3*j + 9 = -5*r + 10*r, 0 = -4*r + 12. Let o(q) = -q - 1. Let d(n) = 7*n - 2. Calculate j*o(s) + d(s). 9*s Let v(k) = -17*k**2 - 9*k - 9. Let d(a) = 4*a**2 + 2*a + 2. Let s(x) = x**2 - 12*x + 7. Let m be s(11). What is m*v(g) - 18*d(g)? -4*g**2 Suppose -5*l + 6*l = 6. Let u(z) = z - 2*z - 1 + 5*z + 2. Let f(b) = -7*b - 2. Calculate l*f(g) + 11*u(g). 2*g - 1 Let x(f) = 9*f**2 - 5*f + 4. Let t(r) be the first derivative of 4/3*r**3 + 2*r - r**2 - 3. Let u be ((-6)/(-12))/((-1)/10). Give u*t(h) + 2*x(h). -2*h**2 - 2 Let l(b) be the second derivative of -b**4/2 + 7*b**2/2 + 131*b. Let x(z) = -11*z**2 + 13. Calculate -7*l(o) + 4*x(o). -2*o**2 + 3 Suppose 3*w + 19 = -3*m + m, 5*w = m - 10. Let a = 6 - 4. Let x(b) = 2*b + 3. Let t(y) be the second derivative of y**3/3 + y**2 - y - 21. Give a*x(j) + w*t(j). -2*j Let m(d) = -7*d + 5. Let u be 1/((-3)/(-60)*-2). Let b(t) = 10*t - 9. Let w(k) = -29*k + 26. Let y(i) = -17*b(i) - 6*w(i). Give u*y(x) - 6*m(x). 2*x Let c(m) = 5*m + 171. Let v(f) = 4*f + 172. Determine -3*c(w) + 4*v(w). w + 175 Let a(w) = -9*w**2 + 4*w + 1. Let x(n) = 29*n**2 - 11*n - 3. What is 14*a(j) + 4*x(j)? -10*j**2 + 12*j + 2 Let d(l) = -18*l**3 - 27*l + 12. Let y(r) = -7*r**3 - 11*r + 5. Let p = 858 + -846. Give p*y(i) - 5*d(i). 6*i**3 + 3*i Let z(l) be the second derivative of l**4/4 - l**3/2 + 194*l. Let s(r) = 4*r**2 - 4*r + 1. Calculate -2*s(j) + 3*z(j). j**2 - j - 2 Let z(a) = -3*a + 5*a - 7*a - 4. Let j(y) = -1. What is -2*j(d) + z(d)? -5*d - 2 Let c(s) = 4*s**2 + 13*s - 9. Let y be c(-4). Let w(p) = p**2. Let o(a) = 2*a**2. Give y*o(b) - 4*w(b). 2*b**2 Let c(l) = 3*l**2 - 592*l. Let o(h) = -h**2 + 197*h. What is 6*c(b) + 17*o(b)? b**2 - 203*b Let t(h) = -4*h**2 - 6*h + 1. Let a(f) = -4*f + 5. Let s be a(-6). Let o(l) = 3*l**2 + 5*l + 29 - 59 + s. Calculate -5*o(n) - 4*t(n). n**2 - n + 1 Let h be (-40)/(-24)*(38/5 - 4). Let s(m) = 2*m + 3. Let r(p) = 2*p + 3. Calculate h*s(z) - 5*r(z). 2*z + 3 Let i(a) = -540 - a + 540. Let p(z) = -10*z**2 + z. Calculate i(o) + p(o). -10*o**2 Let w(g) = 8*g**2 - 77*g - 3. Let l(x) = -5*x**2 + 38*x + 1. Determine 5*l(b) + 3*w(b). -b**2 - 41*b - 4 Let z(d) = -d**2 + d. Let n(o) = 3*o**2 + 2*o - 3. Let m be 4*1 - (32/8 - -1). Calculate m*n(l) + 2*z(l). -5*l**2 + 3 Let v(a) = 2*a - 127*a**3 + 6*a + 126*a**3 - 9 + 5*a**2 + a + 0*a. Let q(b) = -b**3 + 3*b**2 + 5*b - 5. Determine 5*q(j) - 3*v(j). -2*j**3 - 2*j + 2 Let z(r) = -2. Let o(g) = g - 15. What is -2*o(m) - 14*z(m)? -2*m + 58 Let w(s) = 4*s**2 + 4*s - 26. Let g(x) = 9*x**2 + 10*x - 55. Determine -2*g(y) + 5*w(y). 2*y**2 - 20 Let g(k) = 1. Let y(p) = -2*p**2 - p - 7. Give 3*g(n) + y(n). -2*n**2 - n - 4 Let t(s) = 45*s**3 + s**2 - 5. Let r(x) = -46*x**3 - x**2 + 6. What is -4*r(w) - 5*t(w)? -41*w**3 - w**2 + 1 Let p(h) = 8*h + 49. Let d(m) = 10*m + 49. Give 3*d(b) - 4*p(b). -2*b - 49 Let o(n) = 2*n**2 + 6*n - 23. Let y(z) = -3*z**2 - 7*z + 23. Give 6*o(t) + 5*y(t). -3*t**2 + t - 23 Let l(v) be the third derivative of v**4/24 - 182*v**2 - 2. Let o(w) = -6*w + 3. Calculate -4*l(b) - o(b). 2*b - 3 Let t(l) = 205*l. Let c(r) = 819*r + 1. What is 2*c(m) - 9*t(m)? -207*m + 2 Let r(h) = 16*h + 4. Let c = 44 - 55. Let f(v) = -3*v - 1. Calculate c*f(x) - 2*r(x). x + 3 Let x(a) = 4*a + 2. Let t(j) = -529*j + 13. Determine -t(d) + 6*x(d). 553*d - 1 Let d(v) = 15*v - 8. Let g(q) = q. Determine d(z) - 6*g(z). 9*z - 8 Let u = 1091 - 1083. Let z(y) = -y + 8. Let i(n) = 2*n - 12. Determine u*z(d) + 5*i(d). 2*d + 4 Let j(p) be the second derivative of -13*p**3/6 + 3*p**2 + 76*p. Let b(k) = -38*k + 17. What is 6*b(r) - 17*j(r)? -7*r Suppose -y - 2*v + 8 = 0, -3*y + 4*v = 1 - 15. Let w(c) = 3*c. Let n(s) = -s. What is y*n(q) + w(q)? -3*q Let k(p) = 2*p + 1. Let v(j) be the first derivative of j**2/2 + j + 38. Calculate -k(f) + v(f). -f Let w(b) = -3 + b + 3*b - 7*b. Let d(s) be the first derivative of -s**3/3 + s**2/2 + s - 1712. What is 3*d(g) + w(g)? -3*g**2 Let p(v) = v**3 - v**2 - v + 1. Let z(x) = -4*x**3 + 3*x**2 + 3*x - 3. Let i(a) = 37*a - 406. Let h be i(11). Give h*z(b) + 3*p(b). -b**3 Let c(s) = -31*s**2 - 8*s - 3. Let g(t) = 16*t**2 + 5*t + 4. What is -3*c(a) - 5*g(a)? 13*a**2 - a - 11 Let p(j) = -11*j**2 - 5*j - 6. Let n(t) = -17 - 14*t + 7*t**2 - 10*t**2 + 4*t**2 - 21*t**2 - 12*t**2. Determine -6*n(d) + 17*p(d). 5*d**2 - d Let z(i) = -5*i - 10. Let l(q) = q**3 - 11*q**2 - 31*q + 69. Let m be l(13). Let r(n) = -11*n - 21. Determine m*r(t) - 9*z(t). t + 6 Let g(h) = 3*h. Let l(p) = 5*p. Let s(w) = w**2 - 9*w + 14. Suppose x - 26 = -4*f, -3*x + 2*x = -5*f + 28. Let k be s(f). What is k*g(v) + 3*l(v)? 3*v Let k(b) = 3*b - 1. Let i(u) = -7*u**2 + 105*u - 42. Give -i(a) + 42*k(a). 7*a**2 + 21*a Let s(h) = 7*h - 3. Let k(m) = -m + 1. Suppose 3*j - 2*n + 8 = 0, -5*j = -0*j - n + 11. Give j*k(r) - s(r). -5*r + 1 Let r(f) = -f**2 + 13*f - 3. Let d(t) = 1. Determine 3*d(i) - r(i). i**2 - 13*i + 6 Let o(c) = -c**2 - 4*c - 14. Let m(a) = a + 1. Let f(l) = 5*m(l) + o(l). Suppose 0 = -5*i + y + 33 - 13, -y = -i. Let w(k) = -k**2 - 5. What is i*w(q) - 3*f(q)? -2*q**2 - 3*q + 2 Let v(c) = 4*c**2 + 2. Let k(n) = -5*n**2 - 2. Suppose 0 = 10*y + 18*y + 84. Determine y*k(l) - 4*v(l). -l**2 - 2 Let u(t) = -15*t + 159. Let p(d) = -8*d + 79. Give -11*p(v) + 6*u(v). -2*v + 85 Let x(s) = -s - 1. Let m(f) be the second derivative of f**3 + 3*f**2 + 2*f + 1430. Suppose 5*d - 104 - 21
{ "pile_set_name": "DM Mathematics" }
nd -1/840? 445200 What is the smallest common multiple of 102 and 43740? 743580 What is the smallest common multiple of 17721 and 9? 17721 What is the smallest common multiple of 17145 and 4445? 120015 Find the common denominator of 37/16 and -29/18332. 73328 Calculate the common denominator of 31/54 and 25/177288. 1595592 Calculate the smallest common multiple of 3050 and 225. 27450 What is the common denominator of 97/1092 and 5/126? 3276 What is the smallest common multiple of 33 and 3912? 43032 Calculate the common denominator of -33/80156 and -107/108. 2164212 What is the least common multiple of 12250 and 700? 24500 Calculate the common denominator of 61/4118 and -73/18531. 37062 Find the common denominator of -33/2590 and 91/25160. 176120 Calculate the smallest common multiple of 31122 and 4389. 342342 Find the common denominator of -29/1024 and 15/142. 72704 What is the lowest common multiple of 1858917 and 30? 18589170 Calculate the lowest common multiple of 14350 and 90. 129150 Find the common denominator of -43/1190 and -13/420. 7140 Find the common denominator of 51/14 and -117/29414. 29414 What is the lowest common multiple of 418 and 2? 418 Calculate the common denominator of -69/79846 and -27/52207. 1357382 What is the common denominator of 33/668087 and 81/4? 2672348 What is the common denominator of -87/10948 and -163/140760? 985320 What is the least common multiple of 56766 and 27? 510894 Calculate the common denominator of -29/1526 and 6/3871. 843878 Find the common denominator of -79/7826 and 139/868686. 868686 Calculate the smallest common multiple of 3954 and 90. 59310 Calculate the lowest common multiple of 790 and 2686. 13430 Calculate the smallest common multiple of 920 and 6816. 783840 What is the least common multiple of 753 and 2877? 722127 Calculate the common denominator of 45/58891 and -65/63. 530019 What is the lowest common multiple of 7980 and 42? 7980 Calculate the least common multiple of 2158 and 10465. 1737190 Find the common denominator of 53/54 and -77/26382. 237438 Calculate the lowest common multiple of 22 and 456. 5016 Calculate the lowest common multiple of 597 and 261. 51939 What is the common denominator of -36/24781 and 36/11? 272591 What is the common denominator of 29/92 and 5/6736? 154928 What is the least common multiple of 8856 and 452? 1000728 Calculate the smallest common multiple of 1011 and 21. 7077 Calculate the smallest common multiple of 78110 and 609258. 3046290 Find the common denominator of 7/114 and 58/11211. 426018 What is the smallest common multiple of 60 and 12326? 369780 What is the least common multiple of 218658 and 9939? 218658 What is the least common multiple of 946 and 132698? 1459678 What is the least common multiple of 16 and 10497748? 41990992 Calculate the lowest common multiple of 350 and 1225. 2450 Calculate the lowest common multiple of 188528 and 235660. 942640 What is the least common multiple of 7216 and 72160? 72160 Calculate the smallest common multiple of 100500 and 105. 703500 What is the least common multiple of 306 and 2550? 7650 Calculate the common denominator of -121/120 and 53/72300. 144600 Calculate the smallest common multiple of 47320 and 14560. 189280 Calculate the smallest common multiple of 461168 and 19684. 3228176 Find the common denominator of 7/4296 and -5/1253. 30072 What is the common denominator of -139/588 and 15/44492? 133476 Find the common denominator of 21/375220 and -37/93805. 375220 What is the smallest common multiple of 9540 and 85860? 85860 Calculate the lowest common multiple of 41778 and 181038. 543114 Calculate the smallest common multiple of 2316 and 144. 27792 Calculate the least common multiple of 12 and 31470. 62940 What is the lowest common multiple of 54 and 914328? 914328 Calculate the common denominator of -23/30281 and 4/963. 272529 Find the common denominator of -69/2665 and 131/130. 5330 What is the common denominator of 97/1260 and -83/6636? 99540 What is the common denominator of 51/14 and -68/125825? 251650 Calculate the common denominator of 111/16310 and 117/230. 375130 What is the least common multiple of 52852 and 3620? 264260 Find the common denominator of 67/51980 and 48/18193. 363860 What is the lowest common multiple of 2016 and 10464? 219744 What is the smallest common multiple of 19322 and 2? 19322 What is the lowest common multiple of 1349088 and 76? 25632672 Calculate the least common multiple of 12 and 5964. 5964 Calculate the common denominator of -119/8800 and -95/176. 8800 Calculate the common denominator of 77/7320 and 109/7320. 7320 Calculate the least common multiple of 5680 and 73130. 585040 What is the common denominator of 8/21309 and 58/675? 4794525 Calculate the common denominator of 45/19936 and -31/189392. 378784 Calculate the least common multiple of 198 and 4032. 44352 Calculate the least common multiple of 828 and 1794. 10764 What is the common denominator of -71/22 and -19/252252? 252252 Calculate the smallest common multiple of 71808 and 2816. 143616 What is the common denominator of -61/16 and -75/774308? 3097232 Calculate the lowest common multiple of 79622 and 1. 79622 Calculate the smallest common multiple of 279 and 20646. 20646 What is the common denominator of -103/154 and 91/4642? 32494 What is the lowest common multiple of 1095 and 10580? 2317020 Calculate the least common multiple of 31750 and 22. 349250 Calculate the lowest common multiple of 13818 and 196. 27636 Find the common denominator of -55/91334 and -91/4. 182668 What is the common denominator of 119/246 and -83/804? 32964 Calculate the least common multiple of 3330 and 160. 53280 What is the lowest common multiple of 7095 and 303? 716595 Find the common denominator of -53/18 and 151/79710. 239130 What is the lowest common multiple of 16 and 8880? 8880 What is the common denominator of 157/45162 and 75/185666? 1670994 Find the common denominator of -27/468541 and 13/610. 4685410 Calculate the common denominator of 73/1380 and -151/354. 81420 Find the common denominator of -14/9123 and -5/11. 100353 What is the least common multiple of 1116 and 157914? 315828 What is the common denominator of -29/73110 and -1/34118? 511770 Calculate the common denominator of 61/120 and 127/4940. 29640 What is the lowest common multiple of 9 and 1092190? 9829710 What is the common denominator of 169/46500 and 64/3255? 325500 What is the smallest common multiple of 94 and 21078? 990666 What is the smallest common multiple of 39520 and 10080? 2489760 Find the common denominator of 67/9879 and -91/434676. 434676 What is the common denominator of 97/52160 and -3/163? 52160 Calculate the common denominator of 193/58590 and 181/15120. 468720 What is the common denominator of -89/130 and -71/12140? 157820 Calculate the lowest common multiple of 20 and 68760. 68760 What is the least common multiple of 84 and 8544? 59808 Calculate the lowest common multiple of 15840 and 330. 15840 Find the common denominator of 7/187016 and 61/654556. 1309112 What is the smallest common multiple of 12 and 35472? 35472 What is the smallest common multiple of 35 and 5453? 27265 Calculate the smallest common multiple of 330 and 1426524. 7132620 Calculate the common denominator of -161/131070 and 55/747099. 7470990 Calculate the common denominator of 41/42921 and 29/152. 343368 Calculate the least common multiple of 1840 and 25. 9200 What is the least common multiple of 20104 and 267096? 1869672 Find the common denominator of 1/4 and 75/48412. 48412 Find the common denominator of 53/782 and 53/2714. 46138 Calculate the least common multiple of 697 and 35. 24395 What is the lowest common multiple of 1000 and 1200? 6000 Calculate the smallest common multiple of 869680 and 31060. 869680 What is the lowest common multiple of 54440 and 15? 163320 What is the lowest common multiple of 243 and 3348? 30132 What is the least common multiple of 132600 and 119? 928200 What is the smallest common multiple of 119 and 12325? 86275 Find the common denominator of -16/354535 and -7/212721. 1063605 Calculate the common denominator of -47/45576 and -1/57. 865944 Calculate the least common multiple of 16 and 6744. 13488 What is the common denominator of 25/6798 and -143/12? 1
{ "pile_set_name": "DM Mathematics" }
Solve d = p - 0*p for p. 5 Let q(t) = t**2 + 6*t + 7. Let w be q(-5). Suppose -w*c = c. Suppose 3 = u - c. Solve u*v - 2*v = -2 for v. -2 Let h(b) = b + 8. Let a = -16 + 10. Let i be h(a). Solve v = -i*v + 6 for v. 2 Suppose p - 15 = -5*j, 5*p + j + 0*j - 75 = 0. Solve 0 = 3*z + 2*z - p for z. 3 Let k = 3 - 0. Suppose -k*l + 0*d - 3 = 3*d, 6 = -4*l - 5*d. Let z be l - (-2 - (-3 - -2)). Solve -z*a - a - 12 = 0 for a. -4 Suppose -34*i + 42*i - 16 = 0. Solve -2 = -3*a + i*a for a. 2 Let y = 34 - 2. Suppose -5*j - u + 45 = u, -j - 5*u + y = 0. Solve j = -5*l + 2 for l. -1 Let a(i) = -i + 9. Let j be a(5). Suppose m - 17 = 2*m - 4*q, j*m = -2*q + 22. Solve b = -2*b + m for b. 1 Suppose -2*l = 92 + 56. Let i = -45 - l. Suppose -4*k = -5*j + 8, 3*k + 0*j - i = -5*j. Solve -k*a + 2 - 5 = 0 for a. -1 Let u = -9 - -8. Let q be ((-4)/14)/(u/7). Solve 0*g + 2 = -q*g for g. -1 Let d be ((-60)/(-8))/(-3)*-4. Suppose -5*c + 20 = d. Solve -25 = c*x + 3*x for x. -5 Let g = 10 - 10. Suppose -h - 3*h + 8 = g. Solve -2*f - h*f - 16 = 0 for f. -4 Let o(w) = w**3 - 12*w**2 + 10*w + 15. Let t be o(11). Solve -15 = t*b + b for b. -3 Let g(c) = -c + 13. Let t be g(0). Let r = t - -2. Suppose l = 2*l - r. Solve 0 = 3*v + l - 0 for v. -5 Suppose -12 = -4*b, 3*x = 2*b + 15 + 3. Let c(o) = -o**2 + 7*o + 11. Let w be c(x). Suppose -2*r - w*f = 3*r - 32, r = -3*f + 16. Solve -r*q = 1 + 3 for q. -1 Suppose 2*v + 2 = 2*x - x, 3*x + 4 = -4*v. Suppose 3*h = 2*w + 1 - 12, -h - 3*w + 11 = x. Let o(i) = 4*i**2 - i - 1. Let j be o(h). Solve 1 = -c - j for c. -5 Suppose -4*t = -t - 15. Let i(v) = v**2. Let s be i(t). Suppose 0 = 4*u - 51 - s. Solve 3*q = 4 - u for q. -5 Let w be 3*((-14)/(-3) - 4). Solve w = -p + 4 for p. 2 Let n(a) = 6*a - 16. Let x be n(6). Solve 2*p + 2*p + x = 0 for p. -5 Let b(w) = -w**2 - 11*w - 13. Let v be b(-9). Solve -19 = -v*r + 1 for r. 4 Let h(o) = -o**2 + 4*o + 2. Let f be h(4). Suppose 3*j = x + 22, 4*j + j - 44 = -2*x. Solve 0 + j = -f*b for b. -4 Suppose -6*t + 22 = -2*t - 2*c, 3 = 3*c. Let q be (3/6)/(1/10). Suppose -5*p = 1 - 21. Solve -t = -q*r + p for r. 2 Let g be ((-6)/(-4) - 1)*0. Suppose 0 = -g*y + y - 4. Suppose 7*q - 3*q = 0. Solve q = y*f + 1 - 9 for f. 2 Suppose 3*z - 11 = 2*z - h, 0 = -5*z + 2*h + 34. Suppose -21 = 4*k - 5*k + 5*m, 4*k - z = m. Let t(y) = 21*y - 1. Let v be t(k). Solve 9*a - v = 4*a for a. 4 Suppose -5*z + 2*z = -6. Solve -z*a + 8 = 2*a for a. 2 Let x(d) = d**2 - 4*d + 6. Let w(q) = -q + 2. Let z be w(-2). Let o be x(z). Solve -n - o = n for n. -3 Suppose 0 = -3*s + 5*k + 17, -2*k + 4 = s + 2. Solve 2*j - s = -0*j for j. 2 Suppose -4*r + r = -15, 0 = 4*h + 5*r - 53. Let c(x) = x**2 - 5*x - 9. Let p be c(h). Solve -n - 3 = -p for n. 2 Let m(s) = 2*s**2 + 12*s - 12. Let n be m(-7). Solve g = n - 4 for g. -2 Let p = -35 - -60. Solve 5*b - 5 = -p for b. -4 Suppose 0 = -0*v - 2*v - 5*d - 20, d = v - 4. Solve -2 = -2*r - v for r. 1 Suppose 2*g - 2*g = -2*g. Solve s = -g*s for s. 0 Let k = -31 - -38. Solve 0 = 5*q + k + 3 for q. -2 Let p be 0 + (-1 + 1 - -2). Solve 0 = 4*m + p + 10 for m. -3 Let h(x) = 2*x + 12. Let d(p) = p + 6. Let g(j) = 5*d(j) - 3*h(j). Let a be g(-6). Solve a = 4*k - 0*k - 20 for k. 5 Let n(k) = -k**3 + 6*k**2 - 5*k + 5. Let g be n(5). Suppose 2 - 22 = -g*j. Solve 0 = d + j*d - 15 for d. 3 Let s(p) = 4*p - 9. Let r be s(6). Suppose -2*g - g + r = 0. Suppose -5*l = -39 - 21. Solve -j - l = -g*j for j. 3 Let w = -11 + 11. Solve u = -w*u - 5 for u. -5 Suppose 12*x - 90 = 2*x. Solve x - 12 = -c for c. 3 Let z(q) = -q**2 - 10*q + 24. Let v be z(-12). Solve v*h + 2*h + 4 = 0 for h. -2 Suppose -2 = 7*a - 23. Solve -5 = a*q + 2*q for q. -1 Let i(m) = 3 + 4*m + 3 + 1 - 3*m. Let a be i(-7). Solve a = -5*t - 0*t for t. 0 Let y be (-200)/(-56) + (-3)/(-7). Solve -y*u = -2 - 6 for u. 2 Suppose 0*z - 8 = -2*z. Solve -2*h + z*h + 2 = 0 for h. -1 Suppose -2*u = -4*u. Suppose -b + 18 + 14 = u. Suppose 2*k + 2*k = b. Solve y + y = -k for y. -4 Suppose p + 9 - 14 = 0. Solve -4*s + p = 25 for s. -5 Let v = 165 + -160. Solve 0*f = v*f - 20 for f. 4 Suppose j - 54 = -2*j. Let v = j - 15. Solve 0 = v*l + 17 - 5 for l. -4 Suppose -10 = -8*z + 3*z. Let g(b) = 2 + 8*b - b + 0*b**2 - b**z. Let l be g(6). Solve -5*o = -3*o + l for o. -4 Let t(v) = v + 1. Let g be t(5). Solve -g = 3*k - 0*k for k. -2 Let i = -1 - -1. Let z be 17 + -4*(-9)/24*2. Suppose -b - 2*b + 6 = i, 3*x - 2*b = z. Solve -2*u + 0 = -x for u. 4 Let o(l) = -2*l + 2. Let b be o(-2). Solve 2 - b = -g for g. 4 Let m be 19/4 + (-5)/(-20). Solve 5 + 5 = m*t for t. 2 Suppose 2*k = 4 + 2. Let c = 8 - 4. Let m = c - k. Solve -v = -0*v - m for v. 1 Let s(v) = 4*v**2 + v + 1. Suppose -3 = j + 2*j. Let l be s(j). Solve k = -0*k - l for k. -4 Let l(o) = -o**3 - 4*o - 4. Let y be l(-3). Suppose -8*t = -3*t + y. Let x(v) = v + 9. Let n be x(t). Solve n*c = 7*c - 15 for c. 3 Let z be (4/12)/(1/6). Suppose 25 = 4*l - 9*l. Let n be 6*(3 + l/z). Solve -5 = n*g - 2*g for g. -5 Suppose 5*i = -i. Solve i*r = -4*r for r. 0 Let t be (-4 - -1) + (5 - 6). Let p = 4 + t. Solve f + 4 - 1 = p for f. -3 Suppose 2*q + 2*q = 4*v - 4, -4*v = q - 14. Let r = q + 7. Solve -3*p - 3 = -r for p. 2 Suppose -12 = -v - 5*v. Solve 4*r - 5*r = v for r. -2 Let m = -16 - -18. Solve 2*w = 3*w - m for w. 2 Let f(m) be the first derivative of 2*m**2 + 5*m + 1. Let n(l) = -l. Let s(d) = -f(d) - n(d). Let w be s(-4). Solve 0 = -w*v + 4*v + 12 for v. 4 Suppose n + w - 4 = 0, -3*w + 4*w = 3*n - 16. Suppose -4*p - 4*d + 43 = 7, 2*d = -n*p + 30. Solve 10 = p*r - 2 for r. 3 Let j = -3 - -13. Let u be ((-2)/4)/(j/(-100)). Suppose -u*k + 56 = 11. Solve h + k = -2*h for h. -3 Let a = 123 - 114. Solve a - 1 = 2*n for n. 4 Let f be (8/(-12))/(1/(-9)). Let k(y) = 2*y**3 - y**2 + y. Let v be k(1). Let q be -2 + 0 + (-12)/(-2). Solve -q - f = v*n for n. -5 Suppose 2*l - 28 = -2*l. Suppose -3*w + l + 2 = 0. Let b(v) = -v**3 + 5*v**2 - 2*v - 5. Let z be b(4). Solve z*u + 3 = -w for u. -2 Let g(p) = -p - 3. Let z be g(-3). Let x(q) = -4 + 2*q**2 - 3*q**2 + 28 + q. Let t be x(z). Solve 5*m = t - 4 for m. 4 Suppose n = 4*n. Suppose n = 10*h - 7*h. Solve -2*m + 4*m = h for m. 0 Let a = -8 - -13. Suppose 4*c - c = 6. Suppose c*g - 20 = -3*g. Solve -a*x + g = -4*x for x. 4 Let s(a) = -a**2 + 7*a - 2. Let o be s(6). Solve -5*w + o = -3*w for w. 2 Let k = -8 - -11. Let p = k - -2. Solve -g + 0*g = -p for g. 5 Let l(p) = 2*p**2 + 17*p + 12. Let c be l(-8). Solve -c = x + 3*x for x. -1 Let z(h) = h**3 + h**2 - 5*h + 5. Let u be z(-3). Solve 1 = -u*q + 3 for q. 1 Suppose 9*v = 4*v + 10. Suppose -3*p + 0*p - 24 = 0. Let w = 8 + p. Solve w = v*l - 4*l - 6 for l. -3 Let x(v) = 12*v**2 + v + 1. Let h be x(-1). Suppose -h = -5*y + y. Solve 0 = -k + y*k for k. 0 Let m = -22 - -6. Let s be 0*(-1 + m/(-12)). Solve s*g + 20 = -4*g for g. -5 Let y(u) = u - 8. Let n be 6/(-4)*120/(-18). Let d be y(n). Solve -d = b - 0*b for b. -2 Let p(s) = s**2 - 13*s + 2. Let b be p(13). Solve -b + 10 = -2*k for k. -4 Suppose 0*f + 32 = 4*f. Let h = f + 2. Suppose h = 4*g - 6. Solve 9 = m - g*m for m. -3 Let c(s) = s**2 + 4*s - 10. Let q be c(-6). Solve q*u + 0 + 6 = 0 for u. -3 Let y(u) = u + 2. Let r be y(1). Let d = 14 - 6. Solve r*c = c - d for c. -4 Let t = -40 + 41. Solve t = l - 0*l for l. 1 Let r(j) = -j**3 + 9*j**2 - 7*j - 4. Let h be r(8). Suppose 6 = -2*n + w - h, 0 = -5*n + w - 22. Let x be 7/4 - n/16. Solve -x*v - 9 = -1 for v. -4 Suppose 2*n - 6*n = 3*k + 11, 4*k - n - 17 = 0. Suppose 0 = f + 1 - k. Let c = 5 - 0. Solve 0 = -4*m + c*m + f for m. -2 Suppose 2*o - 3 - 5 = 0. Let h(u) = 2*u - 6. Let d be h(o). Solve d + 0 = 2*x for x. 1 Let v = 0 - -1. Let o = v + 0. Solve 0*k + o = k for k. 1 Suppose k - 2 = 4*v - 15, 4*v = -5*k + 7. Solve 0 = -v*x - 2*x + 20 for x. 4 Let v = -1 - -16. Let h be 54/v + (-10)/(-25). Let g = h + 1. Solve 3*j + 10 = -g for j. -5 Let r(l) = -l + 4*l**2 - l - 3*l**3 + 2*l**3 + 1. Let x be r(3). Solve -3 = -x*t + 9 for t. 3 Let s = 3 - 2. Solve 1 = q - s for q. 2 Let l = 20 - 14. Let d(h) = -h**3 + 4*h**2 - 3*h + 2. Let g be d(3). Suppose 2*a = 2*c + 4 - 12, -c = 5*a - 4. Solve -l = -a*q + g*q for q. -3 Suppose 2*r - 34 = -2*u, 0*u + 59 = 3*r + 5*u. Solve 4*f = -r + 17 for f. 1 Suppose -b - 4*b + 2*d + 28 = 0, 0 = -d - 4.
{ "pile_set_name": "DM Mathematics" }
4. Let o(f) = f - 1. Let x(c) = -4*o(c) - z(c). What is x(j(w))? -w**2 Let i(g) = 90 - 90 + g. Let c(r) = -r**3 - 7*r**2 + 8*r + 4. Let w be c(-8). Let u(y) = y**2 + w*y - 4*y + 0*y**2. What is u(i(a))? a**2 Let l(n) = -n. Let i(b) be the third derivative of 0*b**4 + 1/12*b**5 + 3*b**2 + 0*b + 0 + 0*b**3. What is i(l(p))? 5*p**2 Let c(k) = -14*k**2. Let h(m) = -9*m. Give h(c(s)). 126*s**2 Let z(h) = 2*h**2 + 25. Let x(c) be the second derivative of -c**3/3 - 30*c. Determine z(x(a)). 8*a**2 + 25 Let s(j) = -4*j**2 + 3*j**2 - 2*j**2 - 3*j**2. Let a(m) = 2*m**2. Calculate a(s(q)). 72*q**4 Let j(t) be the second derivative of 0*t**3 + 1/30*t**5 + 0 + 0*t**4 + t - 1/2*t**2. Let g(z) be the first derivative of j(z). Let w(n) = n**2. Give g(w(b)). 2*b**4 Let w(i) = -3*i. Let s(d) = 3202*d**2. What is w(s(j))? -9606*j**2 Let u(g) = -2*g. Let v(k) = -k. Let m(c) = -c**3 + c + 0 - c**2 + 0*c**2 + 3. Let j be m(0). Let w(s) = j*v(s) - 2*u(s). Let a(q) = -2*q**2. Determine a(w(y)). -2*y**2 Let s(u) = -u**2. Let k(o) = 13*o - 36*o + 18*o. Calculate k(s(f)). 5*f**2 Let h(c) = -3*c**2 + 242 - 242. Let a(z) = -12*z**2. Give h(a(x)). -432*x**4 Let k(z) be the second derivative of -z**6/360 - z**4/6 + 4*z. Let h(o) be the third derivative of k(o). Let x(f) = f. What is h(x(a))? -2*a Let t(d) = 2*d**2. Suppose -3*c + 0*i = 4*i - 14, -4*c + 20 = 5*i. Let f(z) = -10 + c + z**2. What is f(t(o))? 4*o**4 Let i(w) = -17*w**2 + 2*w + 1. Let u(d) = 50*d**2 - 7*d - 2. Let y(v) = -7*i(v) - 2*u(v). Let x(l) = -l**2. What is x(y(g))? -361*g**4 + 114*g**2 - 9 Let i(b) = 3*b. Let c(u) be the first derivative of -4*u**3/3 + 1. Give i(c(z)). -12*z**2 Let k(h) be the third derivative of -h**4/3 - 11*h**2. Let o(c) = -2*c**2. Determine k(o(u)). 16*u**2 Let a(q) = 5*q**2. Let y(d) = 3*d**2 + 7*d. Let o(g) = 7*g**2 + 3*g + 2*g - 5*g**2. Let v(t) = -7*o(t) + 5*y(t). Give a(v(l)). 5*l**4 Let p(t) = 44*t. Let a(z) = 3*z**2 + 3*z. Calculate a(p(b)). 5808*b**2 + 132*b Let i(t) be the first derivative of 13*t**3/3 - 6. Let a(n) = 5*n**2. Give i(a(s)). 325*s**4 Let y(l) = -6*l**2 + l. Let z(d) = 3*d**2. Calculate z(y(s)). 108*s**4 - 36*s**3 + 3*s**2 Let r(f) = 17*f**2. Let b(q) be the first derivative of q**3/3 - 11. Calculate r(b(o)). 17*o**4 Suppose 3*u + 0 = i - 14, -4*i + u = -12. Let d(r) = -3*r**i + 2*r**2 + 0*r**2. Let c(g) = -g - 2*g - 3*g + 8*g. What is d(c(l))? -4*l**2 Let n(l) = l. Let r(s) = -2*s**2. Let a(b) = 2*b**2. Let o(c) = -2*a(c) - 3*r(c). Determine n(o(k)). 2*k**2 Let u(n) = 10*n. Suppose 2*g - 2*j + 7 = j, 0 = 2*g + j - 13. Let i(l) = 6*l**2 - g*l**2 - 4*l**2. What is i(u(b))? -200*b**2 Let y(r) = r**2. Let h(b) be the second derivative of -11*b**3/3 - 3*b. Calculate h(y(c)). -22*c**2 Let l(k) = 2*k + 125. Let i(t) = 2*t**2. What is i(l(v))? 8*v**2 + 1000*v + 31250 Let f(s) = 6*s + 16. Let p(q) = -q - 3. Let o(m) = -3*f(m) - 16*p(m). Let c = -22 - -27. Let x(v) = 2*v + c*v - 4*v - v. Give o(x(a)). -4*a Let o(h) = h. Suppose 2*p - z = 3*z - 8, 0 = -p - 4*z + 8. Let t(n) be the third derivative of p*n**3 + 0*n + 0*n**4 - 1/60*n**5 - n**2 + 0. Give t(o(m)). -m**2 Let y(w) = -15*w**2 - 30. Let i(j) = 1. Let k(o) = -30*i(o) - y(o). Let x(b) = b. What is x(k(h))? 15*h**2 Let u(n) = 2*n. Suppose 5*z - 6*q + 3*q = -8, 0 = -5*z + q - 16. Let a(b) = -b. Let m(c) = z*a(c) - 3*u(c). Let s(g) = -3*g**2. What is s(m(f))? -12*f**2 Let h(g) = -g. Let l(t) = 4931*t. Give h(l(b)). -4931*b Let h(f) = 14*f**2. Let p(o) = 28*o**2 - 1. Give p(h(n)). 5488*n**4 - 1 Let k(h) = 2*h**2. Let x(o) = -23*o + 1. Determine k(x(s)). 1058*s**2 - 92*s + 2 Let a(k) = 2 - k**2 - 4 + 2. Let u(z) = -2*z**2. What is a(u(n))? -4*n**4 Let k be ((-7)/(1 - 2))/1. Let y(s) = k*s - 2 + s - 3. Let g(t) = 12*t - 8. Let j(l) = 5*g(l) - 8*y(l). Let v(i) = -2*i**2. Calculate j(v(o)). 8*o**2 Let v = 8 - 2. Let m(s) = v*s + 11*s - 19*s. Let r(b) = 13*b**2. What is m(r(a))? -26*a**2 Let y(f) = f. Let o(x) = 407*x. Determine o(y(v)). 407*v Let n(p) be the third derivative of p**5/60 + 4*p**2. Let y(u) = 5*u. Calculate y(n(a)). 5*a**2 Suppose -4 - 6 = -5*p. Let x(g) = 4*g + 3*g - p*g. Let k(r) = 8*r. Let c(l) = 5*l. Let w(o) = -5*c(o) + 3*k(o). Give x(w(q)). -5*q Let b(y) = y**2. Let d(w) = -5093*w. Give b(d(v)). 25938649*v**2 Let s(l) = 41*l + 1. Let r(a) = -9*a. Let c(k) = 7*k. Let p(w) = 5*c(w) + 4*r(w). Calculate s(p(y)). -41*y + 1 Let z(p) = -4*p - 5. Suppose 4*h = 4*b + 36, 4*h - 41 = 3*b - 9. Let l(q) = q + 1. Let y(n) = h*l(n) + z(n). Let s(a) = 2*a. Give y(s(g)). 2*g Let s(k) = k. Let i(g) be the third derivative of 0*g + 0*g**3 + 0 + 1/60*g**5 - 3*g**2 + 0*g**4. Determine i(s(t)). t**2 Let v(q) = -q. Let a(n) = -7*n**2 - 4*n. Determine a(v(c)). -7*c**2 + 4*c Let w be (-8)/(-6)*15/10. Let k(y) = 10*y**2 + 3*y**2 - 3*y**w. Let q(l) = -2*l**2. Determine k(q(c)). 40*c**4 Let b(k) = -3*k**2 + 0*k**2 + k**2. Let f(m) = -m + 1. Let a be f(1). Let z(i) = 24*i - 25*i + 0 + a. Calculate z(b(n)). 2*n**2 Let t(z) = -125*z. Let i(f) = f. Determine i(t(b)). -125*b Let c(b) = 2*b**2. Let f(p) be the third derivative of 0*p**3 + 1/60*p**5 + 0*p**4 + 0 + 4*p**2 + 0*p. Calculate f(c(i)). 4*i**4 Let y(j) = -9*j. Let v(m) = 20*m. Let x(i) = 2*i. Let l(h) = -2*v(h) + 22*x(h). Determine y(l(n)). -36*n Let a(k) = 6*k**2. Let r(l) = l + 34. Give a(r(i)). 6*i**2 + 408*i + 6936 Let n(j) = 15*j + 9*j - 34*j + 9*j. Let p(f) = -2*f + 2. Let x(m) = -3*m + 5. Let d(l) = -10*p(l) + 4*x(l). Determine n(d(w)). -8*w Let s(p) = -p. Let g be (2/4)/(2/12). Let y = -1 + g. Let o(v) = -y*v - 2*v + 3*v. Calculate s(o(d)). d Let b(o) = -4*o**2 + 2*o + 2. Let u(x) = -x - 10. Let y be u(-8). Let m(h) = -17*h**2 + 9*h + 9. Let q(t) = y*m(t) + 9*b(t). Let r(d) = 4*d. What is r(q(v))? -8*v**2 Let u(y) = 693*y. Let o(d) = d**2. Give o(u(x)). 480249*x**2 Let q(i) = -2028*i**2. Let k(j) = -5*j**2. Determine q(k(g)). -50700*g**4 Let d(l) = -3*l**2 + 3*l. Let i(p) = -5*p**2. Give i(d(j)). -45*j**4 + 90*j**3 - 45*j**2 Let o(v) = -49*v. Let y(i) = 6*i. Calculate o(y(z)). -294*z Let m(h) = 4 + 2*h**2 - 4*h**2 - 4. Let i(t) = 23*t**2. Determine m(i(f)). -1058*f**4 Let z(c) = 5*c. Let t(r) be the third derivative of 2*r**5/15 - 19*r**2. Determine z(t(s)). 40*s**2 Let y(q) be the first derivative of -3*q**3 - 8. Let w(b) = -b. Calculate y(w(c)). -9*c**2 Let z(h) = -h. Let d(v) = -52*v**2 - 3*v. Give d(z(c)). -52*c**2 + 3*c Let d(m) = 42*m - 21*m - 20*m. Let h(y) = -4*y + 0 + 0. Calculate h(d(v)). -4*v Let j(z) be the third derivative of z**4/12 - 31*z**2. Let y(g) = 3*g. Calculate y(j(d)). 6*d Let y(o) = 838*o**2. Let c(q) = 8*q. Determine y(c(f)). 53632*f**2 Let y(g) = -g. Let d(m) = 36*m - 35. Give d(y(t)). -36*t - 35 Let n(q) = -5*q. Let f(z) = -3*z. Let y(v) = 2*v. Let h(t) = 5*f(t) + 7*y(t). Calculate n(h(o)). 5*o Let w(l) = -16*l - 8. Let f(o) = 65*o**2. Give w(f(t)). -1040*t**2 - 8 Let g be (-7)/28 + 1/4. Let r(f) = g + 0 + 2*f. Let s(h) = -3*h. What is r(s(a))? -6*a Let m(n) = 2*n**2. Let t(v) = v**2 - 2*v - 5. Let s be t(4). Suppose 3*b - s = 3. Let g(p) = -b*p + 0*p - p. Determine g(m(a)). -6*a**2 Let g(m) = m**2. Let d(o) = -456*o - 1. What is d(g(r))? -456*r**2 - 1 Let o(m) = -4*m. Let r(p) = 374*p. Determine r(o(u)). -1496*u Let d(j) = 3*j. Let a(m) = -2 + 2 - 17*m + 6*m. Give a(d(g)). -33*g Let v(c) = -3*c + 9. Let r(u) = -2*u**2. Determine r(v(s)). -18*s**2 + 108*s - 162 Let n(a) be the third derivative of -a**4/6 + a**2. Let x = -6 + 9. Let y(j) = 2 + j - x + 1. Determine y(n(b)). -4*b Let j(g) = 23*g + 17. Let y(c) = -8*c - 6. Let v be (-1 + 63/12)*4. Let a(z) = v*y(z) + 6*j(z). Let n(k) = -3*k**2. What is a(n(q))? -6*q**2 Let n(s) = 7*s + 3. Let j(l) = 101*l**2. Calculate n(j(k)). 707*k**2 + 3 Let d(j) = -j - 1242. Let c(o) = o**2. Give d(c(w)). -w**2 - 1242 Let o(u) = 3*u + 2. Let h be (-20)/(-16) - (-3)/4. Let y(x) = -x - 1. Let w(b) = h*o(b) + 4*y(b). Let t(p) = 2*p. Give t(w(j)). 4*j Let r(p) = p. Let f(y) = -y**3 - 2*y**2 + y - 3. Let m be f(-3). Let x(j) = 4*j - 3. Let i(n) = -8*n + 7. Let h(v) = m*i(v) + 7*x(v). Give h(r(b)). 4*b Let a(t) = 5 - 6*t + 8 + 0. Let k(i) = 3*i - 6. Let r(n) = 6*a(n) + 13*k(n). Let q(p) be the first derivative of p**2 - 25. Give r(q(j)). 6*j Let g(h) be the first derivative of -11*h**2/2 - 30. Let p(c) = -3*c**
{ "pile_set_name": "DM Mathematics" }
11*p**5/60 - p**3/6 + p**2. Let y = 458 - 438. Suppose -10*w + y = 10*w. Calculate k(w). -12 Let m(g) be the third derivative of -1/24*g**4 - 20*g**2 + 1/60*g**5 + 0 + 0*g - 1/120*g**6 + 5/2*g**3. Suppose -9*n = 6*n. What is m(n)? 15 Let g(s) = 5*s + 44. Let p(y) = 14*y**2 - 349*y - 25. Let m be p(25). What is g(m)? 44 Let z(d) be the first derivative of 2*d**3/3 + 3*d**2/2 + 4*d + 2. Let b = -4914 - -4911. Determine z(b). 13 Let p(y) = 12*y**3 + 17*y**2 - y - 57. Let o(g) = -7*g**3 - 9*g**2 + 28. Let r(c) = -5*o(c) - 3*p(c). Determine r(-6). 13 Suppose 0 = -25*u - 159 - 41. Let v(b) = -b**3 - 7*b - 140*b**2 + 72*b**2 + 1 + 59*b**2. Calculate v(u). -7 Let f(w) = 4*w**2 + 2*w - 2. Let u be f(1). Let m(t) = 3*t**2 - 13*t + 3. Determine m(u). -1 Let a(f) = -f**2 + 20*f - 33. Let b = 7455 - 7437. What is a(b)? 3 Suppose 2*q + 4*w - 40 = 0, 224*w = -3*q + 227*w - 12. Let p(m) be the third derivative of -m**4/24 + 5*m**3/3 + m**2. Give p(q). 6 Suppose -4*j - 9 = 3*g + 6, 3*j + 4 = 5*g. Let q be 6 - ((j - -1) + -1). Let i(v) = 3*v + 2 + 3*v + 4*v - q*v. Give i(-5). -3 Let o = -25 + 28. Let p(k) = 4*k**2 + 1 + 0*k**o - 46*k - k**3 + 51*k. Determine p(5). 1 Let t = 24231 - 24234. Let n(i) = -2*i**2 - 5*i + 7. Give n(t). 4 Let w = -346 - -509. Let u(l) = 4 - 5*l**2 - w*l - 6*l**3 + 7*l**3 + 165*l. Determine u(3). -8 Let a(o) = o - 37. Let s be a(17). Let t = s + 32. Let y(j) = -10*j + 0 - 3*j - 6 + t*j. What is y(7)? -13 Let v(x) = -2*x**3 - 11*x**2 - 3*x + 2. Let p(z) = -z**3 - 10*z**2 - 2*z + 2. Let m(d) = 3*p(d) - 2*v(d). Suppose 67 = 10*t - 9 - 4. Calculate m(t). 2 Let n = 14 - 12. Suppose n*x - 10 - 4 = 0. Let h(c) = x*c**2 + c**3 + 4 - 3*c**2 + 2*c**2. What is h(-6)? 4 Let x(k) = 39*k - 14*k - 20*k - 39*k**3 + 77*k**3 - 39*k**3 + 5*k**2. Give x(6). -6 Let g(u) be the third derivative of -7*u**4/3 - 95*u**3/2 + 342*u**2. Calculate g(-5). -5 Let o(c) be the second derivative of 5/6*c**4 + 1/20*c**5 + 2*c - 3 - 8*c**2 - 2*c**3. What is o(-11)? -5 Let n(j) = -115*j**2 + j - 5. Let u(s) = -369*s**2 + 4*s - 16. Let p(c) = 7*n(c) - 2*u(c). Calculate p(-1). -69 Let n(v) = -v**3 - v**2 + v - 3. Let y(x) = -10*x - 234*x**2 + 235*x**2 - 6*x + 6*x + 24. Let o be y(6). What is n(o)? -3 Let f(r) = 4*r - 43. Suppose -3*c = 65*m - 66*m - 33, -4*c = -3*m - 39. What is f(c)? 5 Let b(r) be the third derivative of 0 - 94*r**2 + 1/12*r**4 - r + 3*r**3. Give b(-10). -2 Let i(h) = 16*h - 326. Let w be i(20). Let u(g) = -4*g**2 - 21*g - 1. Calculate u(w). -19 Let f(n) = -n + 9. Let t = 11925 + -11925. Determine f(t). 9 Suppose -7*n + 90 - 27 = 0. Suppose -n*p + 5*p = 2*x + 30, 0 = -p - 5*x + 6. Let v(c) = c + 10. Give v(p). 1 Let h(c) be the second derivative of c**3/6 + 4*c**2 + 5*c - 17. Suppose -29*g = -32*g - 24. Determine h(g). 0 Let l(i) = 2*i**2 + 6*i + 3. Let u(z) = -3*z**2 - z + 43. Let h be u(-9). Let q = h + 187. Calculate l(q). 11 Let x(t) = 10*t**2 + 7*t + 8. Let u(a) = -21*a**2 - 15*a - 17. Let k(y) = 6*u(y) + 13*x(y). Let v = -4441 + 4439. What is k(v)? 16 Let m(a) be the first derivative of -a**2/2 - 9*a + 13. Let j be m(-5). Let r(g) = -8 - 4 + 18 + g**2 - 2 + 3*g. Calculate r(j). 8 Let l(u) = -u**3 + 9*u**2 - 6*u - 8. Let j be l(8). Let c = j - 14. Let o(i) be the second derivative of i**3/3 + 2*i**2 - 55*i. Determine o(c). -8 Let m(x) = -x + 15. Let t be m(10). Suppose 0*b - 5*b + t*n = -55, 2*n = -3*b + 8. Let p(c) = -b + 4 - 6*c**2 + 1 + c**3 + 5*c + 3. What is p(4)? -10 Let q(m) = 2*m**3 + 138*m**2 - 144*m - 282. Let a be q(-70). Let c(b) = -b**3 + 3*b**2 + 8*b + 6. Calculate c(a). 10 Let m = 23 + -16. Let d(p) be the second derivative of 0 - 2*p**2 + 4/3*p**3 + 1/2*p**4 - 1/20*p**5 - 8*p. Calculate d(m). 3 Suppose -13 = -3*y + 8. Let r(p) = 12 + 6*p - y - 6. Suppose -i + 70 - 71 = 0. Determine r(i). -7 Let d(j) be the first derivative of -j**3 + 7*j**2 + 7*j - 32. Let o be d(5). Let q(c) = -87*c**3 + c**2 + 86*c**3 - 1 - c**o + 3*c. Give q(-3). 17 Let t(k) = k**3 - 7*k**2 - 7*k + 1. Let j = 7959 + -7952. Give t(j). -48 Let l(t) = -t**3 - 22*t**2 + 3*t + 68. Let n be l(-22). Let d(k) = 3*k**2 - 2*k - 15 + 5 + k - 19*k**n - k**3. Calculate d(-16). 6 Let q(u) = -4*u**3 + u**2 + u - 2. Suppose 3*j + 0 = 3, f - j = -3. Determine q(f). 32 Suppose 4*c - 12 - 12 = 0. Let s(n) = -137*n + 275. Let j be s(2). Let t(g) = -5 - c*g + 13*g + 7*g**2 + j - 3*g**2 - g**3. Determine t(5). 6 Suppose 46*d = -42 + 636 + 188. Let p(b) = -b**3 + 18*b**2 - 17*b - 28. Calculate p(d). -28 Suppose -21*l + 10*l = -220. Suppose l = y + 19*y. Let a(o) = -o - 3. Calculate a(y). -4 Let u = 425 + -339. Suppose -u*m - 14 = -79*m. Let a(k) be the first derivative of k**4/4 - 2*k**3/3 - k**2 + 1. Calculate a(m). -12 Let i be 5/((-50)/8)*5. Let d(f) be the first derivative of -f**3/3 - f**2 + 2*f + 563. Determine d(i). -6 Let c(d) = d**3 - 7*d**2 - 19*d + 96. Let n be c(8). Let r(t) = -2*t**2 + 12*t - 11. Calculate r(n). -43 Let f be (-132)/990 - (-15184)/30. Let l = f + -503. Let y(k) = 9*k + 1. Give y(l). 28 Let g(p) = -p**2 - 10*p - 18. Suppose -55*y + 801 = 1186. Calculate g(y). 3 Suppose 0 = -5*u + a + 54 + 116, 0 = 3*u + 5*a - 130. Let w = 45 - u. Let f(t) = -9*t + w*t + 15 + t**2 + 0. Calculate f(0). 15 Let k(b) = -6*b**2 - 209*b - 9. Let d(i) = -19*i**2 - 576*i - 26. Let y(m) = 3*d(m) - 8*k(m). What is y(-6)? 6 Let u(i) = -2*i**3 + 13*i**2 - 5*i + 17. Let y be (10 - (2 + 0)) + (108/12 - 10). What is u(y)? -67 Let p(f) = f**3 + 10*f**2 - f + 2. Let h(a) = 43*a + 17. Let i be h(-14). Let w = i - -575. Give p(w). 12 Let t be (-2)/(2/9*33/(-286)). Let s(g) = t*g - 38*g + 16 - 37*g + 8. Determine s(-7). 3 Let y(o) = 2*o**2 - 42*o - 148. Let u(i) = 1235*i - 4916. Let c be u(4). Calculate y(c). -4 Let g(h) be the first derivative of -h**3/3 - 4*h**2 - 5*h + 140. Suppose -5*f = -4*l + 12, 2*f + 3*l + 17 = 3. What is g(f)? 11 Let x(d) = -36692*d + 36704*d + 51 - 41. Determine x(-5). -50 Suppose 3*d - k - 19 = -8, 0 = -4*d - k + 3. Let v(g) = 2459*g - g**2 - 2451*g + 6 + 2*g**d. Give v(-6). -6 Let l(o) = 437*o + 5240. Let j be l(-12). Let i(k) = k**2 + 2*k - 3. Give i(j). 5 Let w(j) be the third derivative of -j**4/24 - 4*j**3/3 - 2404*j**2. Suppose -2*c - 20 = 2*b, 2*b - 6*b + 3*c = 33. Give w(b). 1 Let j be 475/(-1375)*11 - 2/10. Let i(r) = -29*r - 94. Calculate i(j). 22 Let u(s) = 2*s**3 + 24*s**2 + 100*s - 35. Let k(x) = 2*x**3 + 23*x**2 + 112*x - 35. Let a(l) = -7*k(l) + 8*u(l). Calculate a(-15). -50 Let k be 50 + -26 + -19 + (-9 - 0). Let s(n) = -n**2 - 4*n - 2. Give s(k). -2 Let y(g) = -71*g**2 + 33*g - 9. Let z(a) = 25*a**2 - 11*a + 3. Let w(p) = -6*y(p) - 17*z(p). Determine w(10). -7 Let a(s) = -2*s - 15. Let d(c) = 3*c + 22. Let r(t) = 4*a(t) + 3*d(t). Suppose -n - 7 - 3 = -v, 3*v - n - 22 = 0. Let h be ((-14)/v)/(1/(-3)). Calculate r(h). 13 Let v(z) = z**3 + z**2 + z + 40. Let u be 9/6*(62/6 + -5). Suppose 0 = -15*m + m - u*m. Give v(m). 40 Let i(j) = -j**3 + 18*j**2 - 16*j - 14. Let z = 2026 + -2009. Give i(z). 3 Let n be 7 - (4/16 - (-39)/(-12)). Suppose -n*x - 120 = 2*x. Let o be (x/4 + 3)*-10. Let l(r) = -r**3 - 4*r**2 + 8*r + 5. What is l(o)? -10 Let b(f) = 56 + 64 + 17*f + 67 - 250 + 64. Let i = 3 - 2. Determine b(i). 18 Let y(q) = 12*q + 44. Let x(l) = -6*l - 22. Let n(j) = -5*x(j) - 3*y(j). Let r be n(-4). Let a(h) = 2*h + r*h - 6*h. What is a(4)? -8 Suppose 21*v - 1309 = 14*v. Let n(w) = -v + 187 - w. What is n(1)? -1 Let q(s) = -s**3 - 6*s**2 + 8*s + 9. Let z(l) = -6*l**2 - 19*l - 22. Let d be z(-2). Suppose 16 = -5*m + m. Let x be (m/d*14)/(-1) - 0. Give q(x). 2 Let j = 63411 + -63417. Let d(t) = -4*t**3 + 7*t**2 + 5*t + 12. Let y(v) = -v**3 + 1. Let i(o) = -d(o) + 5*y(o). What is i(j)? -13 Suppose -3*a = -h + 12 - 1, 5*h - 5*a = 25. Let l(k) = -5*k**3 - 3*k**2 - k + 17. Let f(w) = 3*w**3 + 2*w**2 + w - 11. Let t(i) = 8*f(i) + 5*l(i). What is t(h)? -1 Let j(n) be the third derivative of n**5/60 + 7*n**4/6 + 61*n**3/3 + 6*n**2 + 54. Give j(-23). 7 Let k = 40 - 34. Suppose 2 + k = -8*n. Let l(j) = 8*j**3 - 6*j**2 - j + 5. Let a(t) = 16*t**3 - 11*t**2 - 2*t + 9. Let s(u) = -6*a(u) + 11*l(u). Give s(n). 8 Suppose 40 = 5*l + 3*l. Let y be 52/(-10) + (-4)/l. Let r(g) = g**2 + 9*g + 5. Calculate r(y). -13 Let u(z) = z**3 + 4*z**2 - 3*z + 5. Let q(c) = -c + 1. Let w =
{ "pile_set_name": "DM Mathematics" }
*t - 16 for t. -3 Solve 3*m + 5*r + 7 = 26, -2*m - 5*r = -16 for m. 3 Solve 9 = 3*c - 4*u + 6, -5*u = 2*c - 2 for c. 1 Solve 0 = 5*w + 2*z - 1 - 18, 2*w - 2*z - 16 = 0 for w. 5 Solve -2*q + 4*m = -22, -11*q + 12 = -8*q + m for q. 5 Solve -51*t + 4*c - 8 = -56*t, -5*c - 15 = 0 for t. 4 Solve 3*c = h - 6*h - 14, 4*h + 5*c = -6 for h. -4 Solve 0 = s - p - 1, -p - p = 2*s + 2 for s. 0 Solve -10*j + 6*j - i + 3 = 0, 9 = 2*j + 3*i for j. 0 Solve -54 = 3*v - 5*r - 20, 0 = -4*r + 20 for v. -3 Solve 8 = -2*x - 2*c, -3*x - 4*c - 9 = 6 for x. -1 Solve -2*v = 5*m - 3*v - 34, -3*v - 24 = -2*m for m. 6 Solve 0 = -2*i + 10, -m = 2*i - 20 + 7 for m. 3 Solve -3*z + 6*r - r = 16, 0 = 5*z - 3*r for z. 3 Solve -5*u = 5*p + 40, -p = 3*u + 6 + 12 for u. -5 Solve 0*c - 5*c + 3*s = 15, -5*s - 6 = 2*c for c. -3 Solve 828*s = 832*s + 5*n + 5, 3*s + 21 = 2*n for s. -5 Solve 0 = -3*j - 15, -4*d + d + 17 = -j for d. 4 Solve 0 = -5*j - 5*n - 10, -4*n - 11 = -5*j + 6 for j. 1 Solve 5*q = 10*q - 4*y + 48, 3*q = 2*y - 26 for q. -4 Solve 9*t - 8*t + 3*m - 2 = 0, 3*t - 2*m + 16 = 0 for t. -4 Solve 4*o - 2*i + 8 = 0, 5*o - o + 2*i = 8 for o. 0 Solve -3*i + 5*l - 20 = 0, -2*i + 12 = -5*i + 3*l for i. 0 Solve 4*r - 2 = 5*n - 24, 3*r + 3 = -3*n for n. 2 Solve 0 = -2*w - 13*h + 15*h - 14, 20 = 5*h for w. -3 Solve -3*n - 13 = 2*l, -2*n - 13*l + 12*l = 8 for n. -3 Solve k + 5*o + 10 = 0, 3*k - 7*k - 2*o = -14 for k. 5 Solve -h = -3*s + 4 - 3, 2*s + 22 = -5*h for s. -1 Solve m + 11 = -3*p, p - 6 = 3*m - 23 for m. 4 Solve 3*x - 72*m = -71*m - 8, 3*x = -2*m - 11 for x. -3 Solve 4*p - 5*r = 7*p + 5, 0 = -2*r - 8 for p. 5 Solve 18 = 2*x + 5*i, 16*x + i + 6 = 18*x for x. 4 Solve 0 = -5*h + 2*b - 4, -2*h + 2 = 3*h + b for h. 0 Solve -2*g = 0, h - 30*g = -27*g + 2 for h. 2 Solve -f + 2*d = -6, 2*f - 3 = d + 3 for f. 2 Solve 4*v + 2*a + 4 = 0, 3 = -3*v - 6*a + 2*a for v. -1 Solve 36 = -5*k + 4*w, 5*w - 19 = k + 5 for k. -4 Solve -p + 0*r = 3*r + 11, p + 6 = -2*r for p. 4 Solve -4*a + 20 = -5*n + 8, 2*a + 24 = -5*n for a. -2 Solve 6 = -n + 2*k, 2*n - 2*k + 6 + 4 = 0 for n. -4 Solve -4*k - 3*s + 9 = -8*k, -k + 5*s = -2 for k. -3 Solve -2*a - 12*t = -13*t, 5 = -5*a + 5*t for a. 1 Solve 4*u + 3 = -a - 10, -2*a = 5*u + 20 for u. -2 Solve -2*y = -2*i + 10 - 14, -i - 2 = y for i. -2 Solve 3*n - 2*v - 6 = 0, 8*n - 6*n + 4 = 4*v for n. 4 Solve 0 = -5*y + 5*k, y + 3*k - 8 - 12 = 0 for y. 5 Solve -4 = -3*a - 5*w - 0, 2*a = 2*w + 8 for a. 3 Solve 2*s + 11 = 5*a, -3*a - 6 = 3*s - 0*s for s. -3 Solve 0 = -4*k - 2*f + 10, -3*k + 2*f - 4 = -8 for k. 2 Solve 5*x - u = 20, -11*u - 5 = 4*x - 16*u for x. 5 Solve j - 7 - 1 = -3*q, -j + 4*q = 13 for j. -1 Solve 33*u = -5*f + 30*u - 28, -f - 6 = u for f. -5 Solve 5*c = -5*i - 40, 0 = 3*c + 5*i + 5 + 29 for c. -3 Solve -3*g - 3*d = d - 21, -15 = -4*g - d for g. 3 Solve 5*a + 14 = -3*p, -a - 6 = -2*p + 2 for p. 2 Solve 0 = 5*g - 4*q + 21, 5*g + 3*q + 8 = 4*g for g. -5 Solve 0 = 4*j - t + 5*t - 20, 3*j + 2*t = 11 for j. 1 Solve -5*l + 5*j = -12 + 17, 2 = -2*l + 4*j for l. -1 Solve 71*g - 73*g = -2*o - 4, 2*g + 3*o = 29 for g. 7 Solve 3*b + 3*p - 9 = 0, 4*b + 5 = -p + 2 for b. -2 Solve -4*h + 18 = 5*c, 3*h = 2*c + 4 - 2 for h. 2 Solve 3*q - 6*n + 3*n - 12 = 0, -4 = -2*q - 2*n for q. 3 Solve -3*j - 11*y - 43 = 21, 0 = -4*j + 3*y + 3 for j. -3 Solve -4*n + 18 = 5*m, 2*n = 4*m + 3*n - 10 for m. 2 Solve 3*f + 3*y = 8*f - 57, 5*f - 5*y - 65 = 0 for f. 9 Solve -5*y - 4*d = -7*d - 4, 5*d + 18 = -3*y for y. -1 Solve 4*g = y - 270 + 263, 3*y = -3*g + 21 for y. 7 Solve 20 = -5*q + 5*n, 7*q + n - 1 = 11*q for q. 1 Solve 5*r + 28 = x, 0*x = r - 2*x + 11 for r. -5 Solve 0 = -5*g - f + 24, -44*g + 5*f = -43*g - 10 for g. 5 Solve 0 = -2*q + 3*n - 2, -3*q = -0*q + 3*n - 27 for q. 5 Solve -5*u - 18 = -3*m - 4, u = -4 for m. -2 Solve 0 = -3*l + 3*n - 12, -7*l + 3*l - 2*n + 2 = 0 for l. -1 Solve -2*q - 2*h = 6, -3*q = -2*h + 1 + 8 for q. -3 Solve a - 15 = -5*n, 0 = 6*a - 3*a for n. 3 Solve 2*f = u + 9, -f - 12 = -4*f + u for f. 3 Solve -3*b + 8*b - 3*m = 17, -5*m - 18 = 2*b for b. 1 Solve -3*y = 2*z + 7, -z + 2*z + 6 = -4*y for y. -1 Solve 0 = 5*b - 2*w + 30 - 3, -b = 5*w for b. -5 Solve c + y - 2 = 0, 18 + 1 = -3*c + 2*y for c. -3 Solve -4*s - 27 = 5*h, 3*h + 4*s = -10 - 11 for h. -3 Solve b + 5*c = -b + 14, 0 = -4*b + c - 16 for b. -3 Solve -l - 3*k - 2 = 3*l, 2*l - k = -6 for l. -2 Solve -3*a + 6 = 4*q, 3 + 2 = -q - 4*a for q. 3 Solve -4*f - 9 = -5*l - 15, 5*f = 5*l + 5 for f. -1 Solve 0 = -k - 4*j - 21, 3*k - j - 4*j - 22 = 0 for k. -1 Solve -8*p + 22 = -4*p - 2*t, 0 = 3*p + 2*t - 6 for p. 4 Solve 5*o + 2*v + 3*v + 20 = 0, 0 = 4*o - 4*v - 16 for o. 0 Solve -2*k + 0*k + 8 = 0, -4*k = -5*y - 6 for y. 2 Solve -5*s = -5*p + 45, 2*s + 23 = p + 2*p for p. 5 Solve 2*r - 17 = 3*z, -3*r - 184 = 3*z - 187 for r. 4 Solve -4*j - 18 = -3*p, -8*j - 12 = -4*j for p. 2 Solve -u - 15 = 3*s, -4*u - s - 2 = 3 for u. 0 Solve 2*h + 684*z = 679*z - 14, -h = 5*z + 17 for h. 3 Solve 4*f + 11 = -2*u + 1, 3*f + 5*u + 4 = 0 for f. -3 Solve -4*f - 4*y - 48 + 84 = 0, 2*f = 3*y - 7 for f. 4 Solve 2*k + 3*u = 0, 2 + 2 = -2*u for k. 3 Solve -5*u = -3*g - 46, 3*g + 11*u = 10*u - 16 for g. -7 Solve -5*u = 2*n - 10 + 37, -2*u = 4*n - 2 for n. 4 Solve -5*m + 2*b + 26 = 0, -m + 6*b = b - 19 for m. 4 Solve 4*p - 8*p - 16 = 0, -3*p = 4*o for o. 3 Solve 1 = b - 2*v, 0 = -5*b + 10*b + 3*v - 18 for b. 3 Solve -o + 16 = 2*q + 2*o, 2*q = o for q. 2 Solve 3*i - 2*b - 8 = 0, 5*b - 6 + 1 = -5*i for i. 2 Solve -3*r = 3*a - 6, -4*a - 3*r - 3 = -7 for a. -2 Solve 4*f + 2*d - 6 = 0, f + 13 = -2*f + 2*d for f. -1 Solve b - k + 9 = 0, 0 = -5*b - 0*k + 3*k - 37 for b. -5 Solve -3*o = 4*a + 16, -a - 5 + 1 = -o for o. 0 Solve 2 = s + u, 4*s - 2 = -u - 0 for s. 0 Solve 3 = f - 5*l, -17*l = -12*l + 5 for f. -2 Solve 4*y - t + 23 = 2*t, -3*y + 3*t - 18 = 0 for y. -5 Solve -c = -2*k + 11, 4*c = 4*k + 5*c - 37 for k. 8 Solve u - 11 = -2*k, 43*k = 3*u + 42*k + 16 for u. -3 Solve -s = 1 - 3, 2*z = 2*s - 6 for z. -1 Solve -16*k - 4 = -15*k - d, -3*d = 4*k - 12 for k. 0 Solve 4 = 4*s, 5*h + 2*s = 4*s - 22 for h. -4 Solve -7*x = -2*x - 3*n, 0 = 4*x + 3*n + 27 for x. -3 Solve -2*d = 4*z + 2, -15*z - 4*d = -10*z - 11 for z. -5 Solve -w + 22 = -5*z, 2*w = -z - 16 + 5 for z. -5 Solve -5*f + 6 = 453*h - 452*h, 4*h = f - 18 for h. -4 Solve -5*q + 16 = -6*s + 3*s, 0 = 2*q - 10 for s. 3 Solve 2*f = -4*b - f + 7, 5*b - 6 = -f for b. 1 Solve -5*n - 5 = 0, -11 = 4*i - 9*n + 12*n for i. -2 Solve -5*l + 6*l + b - 1 = 0, -3*l = b - 5 for l. 2 Solve -4*s = -y - 9, -65*s + 5*y + 29 = -61*s for s. 1 Solve 0 = -3*y - 9, -4*a + 3 + 12 = -y for a. 3 Solve -21 = -s - 5*s + 5*v, 0 = 5*v + 15 for s. 1 Solve -p + 3*q = 12, -5*q + 4 = -5*p - 6 for p. 3 Solve 4*g - 3*g + f = 0, -2*g - 3*f + 1 = 0 for g. -1 Solve 5*h + 49 = -3*c, -3*c = 3*h + 2 + 31 for c. -3 Solve -4*s - 2*i - 8 = 0, s + 3*i + 9 = -i for s. -1 Solve -3*d + 5*a - 20 = 0, 4*d + 16 = -d + 4*a for d. 0 Solve 61*l - 4*x = 57*l - 4, -l + 15 = 3*x for l. 3 Solve 5*o + 13 = 3*z, -2*z + 5*o - 8 = 10*o for z. 1 Solve 0 = 3*g + 3*v - 6, -8 = 11*g - 7*g - 4*v for g. 0 Solve -2*h - 5 = -f, 0 = 4*f - 3*f - 4*h - 15 for f. -5 Solve 3*v - 9 = 4*i, 7*i + 30 = 2*i for v. -5 Solve 0 = -5*q + 2*a + 3, 2*a = -5*q + 2 + 5 for q. 1 Solve u - 4*o = -24, -113*u = -114*u + 5*o - 29 for u. -4 Solve -3*v - 9 = 0, -5*s + 3*v = -v - 12 for s. 0 Solve -3*c + 3*z = -5 - 4, 3*c = -5*z + 17 for c. 4 Solve -5*f + 7*h = 4*h + 17, 0 = 4*f + h for f. -1 Solve 2*i - 20 = 7*i - g, -2*i + 5*g = 8 for i. -4 Solve -3*c - 18 = -81*h + 76*h, 3*h = 3*c + 12 for c. -1 Solve 28 = 5*w + 2*q, -24*w + 4*q = -20*w for w. 4 Solve 3*c - 2*k + 1 = 0, 175*c = 172*c - 2*k + 7 for c. 1 Solve -3*k - 5*n = -35, 0 = 4*k + 118*n - 123*n for k. 5 Solve 2*m - 3*m - 8 = -3*l, -2*m - 2*l = -16 for m. 4 Solve 2*f + 3*o + 0*o = -1, -2*o - 22 = -4*f for f. 4 Solve 7*d = -21, -4*m = -8*m - 2*d - 18 for m. -3 Solve -3*s + 2 = 4*h + 2*s, 2 = -4*h - 3*s for h. -2 Solve x + 9 = 4*x + 3*s, -s = -4*x - 3 for x. 0 Solve 2*i + 2*m = 7*m - 24, -2*i = m for i. -2 Solve 0 = -2*h - 4*z - 12, 3*z + 6 = -9 for h. 4 Solve -2*k = -a - 5, 10*a + 16 = k + 5*a for k. 1 Solve -30*j + 31*j + f = 8, -2 = 2*j - 4*f for j. 5 Solve 0 = -3*r - v + 5, 8*v - 5*v = 4*r + 2 for r. 1 Solve -b + 5*i = 3
{ "pile_set_name": "DM Mathematics" }
as m*v + a + y*v**2 + q*v**3 + k*v**4 and give k. 9 Express -24*a - 6*a + a - 16*a as l*a + n and give l. -45 Express -22*b + 8*b + 2 - 19*b as d + j*b and give d. 2 Rearrange (-11 + 5 + 30 + (-1 + 1 - 1)*(-1 - 4 + 3))*(3*i + i - 3*i) to the form n + h*i and give h. 26 Rearrange 2*t**3 + 6*t - 4*t**3 - 2*t to the form r*t + k*t**2 + m + f*t**3 and give f. -2 Rearrange (9 + 0 + 1)*(-3 - 1 - 4)*(4 + 1 - 3)*(0*l - l + 2*l) to c + a*l and give a. -160 Express (-2*r**2 + r**2 + 2*r**2)*(6 + 1 - 3)*(3*r - 2*r + r)*(11 - 11 - r) in the form p*r**3 + x + i*r + t*r**4 + s*r**2 and give t. -8 Rearrange (-3 + 2 - 1)*((3*o - 3*o - 2*o)*(3 + 1 - 6) + 5 - 5 - 2*o - 4*o + 3*o + 2*o + o - 3*o + 5*o - 3*o - 5*o + 5*o) to the form p*o + l and give p. -6 Express (-5*r + 2*r + 4*r)*(-10*r**3 + 0*r**3 + 24*r**3) as d*r**3 + k*r + v + f*r**2 + l*r**4 and give l. 14 Rearrange (-6*m - 16*m + 2*m)*(3*m + 0 + 1 - m) to c + u*m**2 + n*m and give u. -40 Rearrange (-1 - i + 1)*(i - 39 + i + 16) to x*i + v + t*i**2 and give x. 23 Rearrange -124*x**2 - 99*x**2 + 5 - 5 to the form v*x + l*x**2 + a and give l. -223 Rearrange (2 + 2*o + 21 - 48)*(6*o + o - 4*o) to the form s*o + b*o**2 + l and give s. -75 Rearrange (10 - 10 - 5*x)*(-2*x - 2*x + 2*x) to the form q*x + l*x**2 + d and give l. 10 Rearrange (-46 - 5*v + 46)*(-2 - 2 + 3 + (-2 - 1 + 4)*(-4 + 5 + 1) + 2 - 3 + 2 + (-5 + 2 + 5)*(-1 + 3 + 0)) to the form n + c*v and give c. -30 Rearrange -13*y - 1 + 4 - 3 to o*y + a and give o. -13 Rearrange 35*r - 69*r + 21*r + (7 - 3 - 3)*(3*r + 0*r - 2*r) to s*r + v and give s. -12 Express -9*q - q + 6*q - 26*q in the form j + o*q and give o. -30 Rearrange (3*n + 4 - 4 + (6*n - 3*n - n)*(3 - 7 + 2))*(5 + 0 + 3) to c + k*n and give c. 0 Express (28*k**3 - 42*k**3 + 33*k**3)*(k + 3*k - 2*k) as r*k**4 + o*k**2 + j*k + q*k**3 + m and give r. 38 Express 4 - 6*l + 8*l + 0 as y + c*l and give c. 2 Express 5 - 5 + 5*q + 4*q - 4*q + 2*q + 0*q - 3*q + 2*q + (-1 - 1 + 3)*(-q + 2*q + 0*q) - q + 5*q - q + (3 + 2 - 3)*(-1 + 2*q + 1) as h*q + z and give h. 14 Express -3*m - 11*m + 59*m - 14*m as g*m + t and give g. 31 Express 2 + 3 - 6 + 0*p + p**3 - 4*p in the form g*p + q + t*p**2 + k*p**3 and give k. 1 Express -31*q - 3 + 3 as u*q + w and give u. -31 Express (1 - 1 + 8)*(2*p - 6*p + 0*p) in the form z*p + k and give z. -32 Rearrange 2*x - 2*x**3 - 2*x - 17*x**3 + 12*x**3 - 6*x**3 + (2*x + x**3 - 2*x)*(-4 - 1 + 3) to j*x + r + q*x**2 + l*x**3 and give l. -15 Express 2*j + 3 - 4*j**3 + 3*j**3 + 2*j**3 - 2*j**3 in the form t*j + o*j**3 + l*j**2 + z and give o. -1 Express 4 + 0*a**4 + 1 - 2*a**4 - 3 + 2*a**2 in the form k*a**2 + i + r*a + y*a**4 + p*a**3 and give i. 2 Express 3*u**2 + u - u**2 + 4*u**2 in the form r*u**2 + d*u + o and give d. 1 Rearrange 0 + 0 - 9*x**3 + (4*x**2 - x**2 - 4*x**2)*(0*x + x + 2*x) to the form n + i*x**3 + b*x**2 + q*x and give i. -12 Express (w**2 + 4*w**3 - w**2)*(-5 + 4 - 1)*(0*w - w - 2*w) in the form p*w**4 + l*w + i*w**3 + s*w**2 + b and give i. 0 Rearrange (-3*z**2 + 2*z - 2*z)*(3 - 6 - 6) to the form m*z + v + d*z**2 and give d. 27 Express -5*j + 6*j + 0*j as n + o*j and give o. 1 Rearrange (-4 + 0 + 2)*(0*r + 2*r - 3*r)*(129 - 129 - 3*r) to the form c*r**2 + j*r + o and give c. -6 Rearrange (-a**2 + 2*a - 2*a)*(-55*a - 553 + 553) to the form y*a**3 + u*a + r + c*a**2 and give y. 55 Rearrange -9 + 2*g - g + 4*g - 4*g to the form b*g + m and give m. -9 Express -3*t**4 - 10*t**2 + t + t + t**4 + 4*t**2 as c*t**2 + q*t + b*t**4 + r*t**3 + k and give c. -6 Express -2 + 45*s + 60*s - 92*s as r + u*s and give r. -2 Express (4 - 3 + 0)*(6 - 16 - 9 + 0 - 2 + 0 + (0 + 0 - 1)*(-6 + 2 + 2))*(-5*a + 4*a + 3*a) as k*a + p and give p. 0 Express 8*h + 5*h**4 - 8*h + (-2*h - 3 + 3)*(5*h**3 - 5*h**3 + 2*h**3) + 2*h**4 + 2*h**4 - 2*h**4 as k*h**3 + f + v*h + x*h**4 + p*h**2 and give x. 3 Rearrange 21 + 68*v - 21 + 44*v to w*v + h and give w. 112 Rearrange -4 + u**2 - 28*u - 2 + 6 to the form j*u**2 + n*u + c and give j. 1 Rearrange -16 + 34 - 19 - 2*h**3 - h**2 + 2*h**4 to the form q*h**3 + y + l*h**4 + u*h**2 + f*h and give l. 2 Express -2*n**2 + n**2 - n**2 + (-7 + 1 + 11)*(4*n**2 + 0*n + 0*n) as q + m*n + y*n**2 and give y. 18 Rearrange (2 + 1 - 4 + (1 - 2 + 0)*(0 - 1 + 0) + 3 + 4 - 5 - 3 + 0 + 2 + 0 - 1 + 2)*(q**3 + q**3 + 0*q**3) to m*q**3 + c + r*q + z*q**2 and give m. 4 Express 2*x**4 + 3*x**4 - 3*x**4 + (2*x**3 - 5*x**3 + x**3)*(-7*x + 18*x + 10*x) in the form q*x**3 + i*x**4 + c*x**2 + b*x + r and give i. -40 Rearrange (2*a - 6*a - 3*a)*(0*a**2 + 0*a**2 + 2*a + 2*a**2) to t*a + r*a**2 + l + x*a**3 and give l. 0 Rearrange -4*r**3 + 3*r**3 + 8*r**3 - 2*r**3 - 2*r**2 to q*r + a*r**2 + y + o*r**3 and give o. 5 Express 3*d - d**2 + d**4 - 1 + 4*d**4 + 3 - 3*d**4 in the form f*d**4 + g*d**3 + q + w*d + v*d**2 and give q. 2 Rearrange (4*t**3 - 3*t**3 - 2*t**3)*(6*t - 3*t - t) - 49*t**3 - 41*t**3 + 54*t**3 + 3*t**4 to a*t**3 + p + j*t**4 + b*t**2 + r*t and give a. -36 Express -5 + 1 + 4 + 8*k in the form b + x*k and give b. 0 Rearrange -3193 - 2*h + 3193 - 7*h**3 + 3*h**2 to the form x + w*h**2 + m*h**3 + b*h and give b. -2 Express (-2*i**2 - i**2 + 4*i**2)*((2*i + 3 - 3)*(-5*i + 2*i + 2*i) + 3*i - i**2 - 3*i + i) as u + v*i + o*i**3 + p*i**2 + y*i**4 and give y. -3 Express (0 + 1 - 3)*(-6 + 2 + 3)*(-4*s**4 - 2*s**4 + 3*s**4) in the form v*s**4 + u*s**3 + a*s + r + f*s**2 and give v. -6 Express 45*x - 12*x - 14*x + 67*x in the form v*x + f and give v. 86 Express -7 - t**4 + 7*t + 10 - t**2 - 1 in the form k*t**4 + p*t**3 + b*t**2 + v*t + s and give k. -1 Rearrange (s + 6*s + s)*(-3 + 5 - 1) - 4*s + 3*s - 3*s to the form n + h*s and give h. 4 Rearrange (2*x + 2*x - x)*(-4*x + x - 2*x) to the form a*x + t*x**2 + f and give t. -15 Express (-2 - 2*s + 2)*(s**2 + 0 + 0) + 0*s**3 - 42*s + 40*s - 3*s**3 in the form t + v*s**3 + a*s**2 + g*s and give g. -2 Rearrange 32 + 2*v**2 + 3*v - 4*v**2 - 29 + v**3 to the form g*v**3 + b*v + d + a*v**2 and give g. 1 Rearrange 24*b - 37*b**2 - 16*b - 8*b to d*b**2 + v + t*b and give d. -37 Express 2*n - 2*n - 25*n**2 as i*n + w + z*n**2 and give z. -25 Express (0*k - k + 2*k)*(3*k + 0 + 0) + (6*k - 11*k + 7*k)*(-4 + 4 - k) in the form t*k + x*k**2 + g and give x. 1 Rearrange -h - 2*h + 0*h**4 - 7*h**3 + 2 + 2*h**4 + 9*h**3 to the form o*h**3 + b*h**2 + k*h**4 + q + j*h and give j. -3 Express -14*b**2 + 31 + 16*b**2 + b**4 - 2*b**4 in the form k + w*b**4 + a*b**3 + y*b + i*b**2 and give w. -1 Rearrange (0*f**2 + 9*f**2 - 1 - 1)*(0 - 1 - 1 + (-3 + 3 + 1)*(-2 + 0 + 0) - 4 - 2 + 4 + 0 - 2 + 1 + 1 + 2 - 1 + 0 - 1 - 1) to j*f + u*f**2 + b and give u. -63 Express 0*f**3 + 31*f**4 - 33*f**4 + f**3 - 2*f**2 - 4 in the form q*f**3 + w*f**4 + m*f + p + u*f**2 and give p. -4 Express -95*f**2 - 2 + 96*f**2 + 4*f**3 + 11*f**3 as u*f + h*f**2 + t + z*f**3 and give h. 1 Rearrange 39*t - 51 + 51 to u + q*t and give q. 39 Express 10*n - 7*n**3 + 2*n**3 + 3*n**3 - 3*n as z + i*n**2 + x*n**3 + k*n and give x. -2 Rearrange t**2 - t**2 + 2*t**2 - 3*t**2 to the form q*t**2 + h*t + f and give q. -1 Rearrange ((-d + d - 2*d)*(-4 + 0 + 5) + 2*d + 2*d - 5*d - 17*d - 8*d + 5*d)*(-5*d + 6*d + 2*d) to the form n + v*d + q*d**2 and give q. -69 Express (i - i + i**3)*(-10 + 20 + 16) in the form r*i**2 + q*i + t*i**3 + b and give t. 26 Rearrange 16*l + 22*l + 17*l to v + y*l and give y. 55 Express -5 + 9*i + 3 + 1 + i**2 - 10*i in the form o + j*i + r*i**2 and give o. -1 Express (-1 + t + 1)*(-5 + 4 + 2) - 2*t - 5*t + 5*t - 2*t + t + 0*t + 5 + 5 - 8 + 16*t in the form q*t + b and give q. 14 Rearrange 2 + 2*j**3 - 4*j**2 + 0*j**3 - 2 to m*j + z*j**2 + s + c*j**3 and give z. -4 Express (2*s**2 + 3*s**2 - 4*s**2)*(-4447*s - 62*s**2 + 4447*s + (-1 + 1 - 1)*(2 - 2 + s**2)) in the form v*s**3 + c*s**4 + q + h*s + i*s**2 and give c. -63 Rearrange -7*r - 2*r**3 + 2*r - 9*r**2 + 7*r**2 - 1 to c*r**2 + i*r + v + q*r**3 and give q. -2 Rearrange 2*s**3 + 3*s**4 - 2*s + 1 + 4*s - 3*s**3 to p*s**4 + n*s**2 + g*s + j + h*s**3 and give h. -1 Express 11*i - 3*i - 14 + 14 in the form y*i + o and give y. 8 Express (s**2 - 4*s**2 + s**2)*(4 - 7 - 7)*(s - s + 1 + s**2) in the form f*s**3 + g*s**2 + i + r*s**4 + d*s and give g. 20 Rearrange -14*b - 25 - 24 + 51 - 2 + 2*b + 2 + 4 + 2*b - 4 + (2 - 2
{ "pile_set_name": "DM Mathematics" }
eplacement from cxxxzfxcsx. Give prob of sequence xf. 1/18 What is prob of sequence jx when two letters picked without replacement from jkxpjjkppkkkpk? 3/182 What is prob of sequence lw when two letters picked without replacement from ltggcclfw? 1/36 Calculate prob of sequence hkyk when four letters picked without replacement from {y: 1, h: 1, k: 2}. 1/12 Three letters picked without replacement from ininnii. What is prob of sequence iii? 4/35 Calculate prob of sequence wehh when four letters picked without replacement from rqqrrhrhrwecwrr. 1/8190 Four letters picked without replacement from ffff. Give prob of sequence ffff. 1 Two letters picked without replacement from zwcbboh. What is prob of sequence wc? 1/42 Two letters picked without replacement from gfdfrdffvvv. Give prob of sequence gr. 1/110 Four letters picked without replacement from {u: 5, w: 4, n: 6}. Give prob of sequence wunu. 4/273 Two letters picked without replacement from {k: 4, e: 3, s: 5}. What is prob of sequence ss? 5/33 Two letters picked without replacement from {f: 7, o: 2, q: 1}. What is prob of sequence ff? 7/15 Three letters picked without replacement from {a: 2, n: 1, g: 1, l: 2, p: 1, y: 2}. Give prob of sequence gyp. 1/252 Two letters picked without replacement from {h: 1, i: 1, f: 1, x: 1, d: 1}. Give prob of sequence df. 1/20 Three letters picked without replacement from bxxxbsxqxbxqqb. Give prob of sequence qqq. 1/364 What is prob of sequence kmr when three letters picked without replacement from {v: 1, r: 2, k: 11, m: 2, w: 1, q: 1}? 11/1224 Calculate prob of sequence ii when two letters picked without replacement from {i: 3, z: 3}. 1/5 Calculate prob of sequence jjww when four letters picked without replacement from {j: 16, w: 2}. 1/153 Calculate prob of sequence ao when two letters picked without replacement from aoaoaaaaoaa. 12/55 Two letters picked without replacement from {m: 4, d: 1, t: 1, q: 2}. Give prob of sequence dq. 1/28 Calculate prob of sequence mgm when three letters picked without replacement from ccgmgmdmmcmd. 1/33 Calculate prob of sequence ykk when three letters picked without replacement from {o: 6, y: 7, k: 4}. 7/340 Three letters picked without replacement from zbzzbbbbbbbbbz. What is prob of sequence zbz? 5/91 Three letters picked without replacement from yzzyzyyy. Give prob of sequence yzy. 5/28 Two letters picked without replacement from miimmmimii. Give prob of sequence im. 5/18 Calculate prob of sequence hg when two letters picked without replacement from {s: 1, g: 2, j: 3, h: 1}. 1/21 Two letters picked without replacement from {r: 5, s: 5, j: 5, e: 5}. Give prob of sequence er. 5/76 Four letters picked without replacement from ppxpyxyyyxyppypxy. Give prob of sequence yypy. 3/136 What is prob of sequence hvmj when four letters picked without replacement from {m: 1, h: 3, j: 4, v: 7, s: 4}? 7/7752 Calculate prob of sequence vb when two letters picked without replacement from vvvvvvbhjyvv. 2/33 What is prob of sequence iio when three letters picked without replacement from {x: 1, o: 2, j: 8, i: 2}? 1/429 Three letters picked without replacement from {j: 4, i: 2, r: 1}. Give prob of sequence jii. 4/105 Calculate prob of sequence nnkn when four letters picked without replacement from kknnkknkkkkkknkkkkk. 5/1292 Calculate prob of sequence kc when two letters picked without replacement from {k: 3, p: 8, h: 1, c: 1, o: 2, a: 1}. 1/80 Three letters picked without replacement from vkysspyv. What is prob of sequence vpv? 1/168 Two letters picked without replacement from ggczwhj. Give prob of sequence jc. 1/42 Four letters picked without replacement from {i: 8, c: 9, q: 1, o: 2}. What is prob of sequence oocc? 2/1615 Three letters picked without replacement from {f: 2, s: 4, r: 10}. What is prob of sequence sfs? 1/140 What is prob of sequence hu when two letters picked without replacement from {o: 1, s: 1, p: 1, u: 1, h: 1}? 1/20 Three letters picked without replacement from bbbblbbllbb. What is prob of sequence llb? 8/165 Four letters picked without replacement from ettttttjttejt. Give prob of sequence ejje. 1/4290 Three letters picked without replacement from {z: 3, o: 2, t: 1, b: 4, r: 1, w: 1}. Give prob of sequence zoz. 1/110 What is prob of sequence qpx when three letters picked without replacement from {i: 1, e: 1, q: 1, x: 1, a: 2, p: 1}? 1/210 Two letters picked without replacement from {s: 11, k: 9}. What is prob of sequence ss? 11/38 Two letters picked without replacement from npqqqutpqqnqpq. What is prob of sequence qq? 3/13 What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm? 1 Calculate prob of sequence qz when two letters picked without replacement from zdqdldlyoqqdodd. 1/70 Two letters picked without replacement from {l: 4, w: 4, c: 2}. Give prob of sequence cw. 4/45 Three letters picked without replacement from fffffff. Give prob of sequence fff. 1 Three letters picked without replacement from {y: 4, r: 2, a: 7}. Give prob of sequence yyy. 2/143 What is prob of sequence yyyk when four letters picked without replacement from kykkykkykkkkyyyyykky? 77/1615 Three letters picked without replacement from tcccvtvctttttctvvtt. What is prob of sequence tcv? 100/2907 What is prob of sequence bba when three letters picked without replacement from svbgaqsvssbqqq? 1/1092 What is prob of sequence kmbz when four letters picked without replacement from mmdhbkzk? 1/420 Calculate prob of sequence ff when two letters picked without replacement from fffffffff. 1 Calculate prob of sequence nm when two letters picked without replacement from {w: 2, m: 6, y: 1, n: 5, u: 5}. 5/57 Calculate prob of sequence jj when two letters picked without replacement from {v: 13, j: 3, t: 1}. 3/136 Three letters picked without replacement from {i: 1, g: 1, u: 5, r: 2}. Give prob of sequence rgu. 5/252 Two letters picked without replacement from {x: 4, v: 10, d: 1, r: 3}. What is prob of sequence xv? 20/153 Calculate prob of sequence op when two letters picked without replacement from cutoocupproocoo. 2/35 Three letters picked without replacement from {v: 2, y: 1, m: 7}. Give prob of sequence mvv. 7/360 What is prob of sequence oo when two letters picked without replacement from ooooooooo? 1 Four letters picked without replacement from eseessls. What is prob of sequence sese? 3/70 What is prob of sequence dd when two letters picked without replacement from {l: 2, d: 9}? 36/55 What is prob of sequence dqn when three letters picked without replacement from dddqnqqd? 1/28 Four letters picked without replacement from {q: 3, n: 3}. What is prob of sequence nqnq? 1/10 Three letters picked without replacement from kkekekekeekkkk. What is prob of sequence ekk? 15/91 Three letters picked without replacement from {r: 2, a: 1, c: 1, x: 2, y: 1, n: 1}. What is prob of sequence anc? 1/336 Three letters picked without replacement from {l: 10, j: 2, m: 5, u: 3}. What is prob of sequence ujm? 1/228 What is prob of sequence vcv when three letters picked without replacement from ykvcivy? 1/105 Four letters picked without replacement from {w: 2, u: 1, e: 2, b: 1}. Give prob of sequence ewwu. 1/90 Four letters picked without replacement from smphspi. What is prob of sequence mpps? 1/210 Two letters picked without replacement from {m: 5}. Give prob of sequence mm. 1 Three letters picked without replacement from qqjcgcccsjggjqcjcc. Give prob of sequence qsj. 1/408 Four letters picked without replacement from {l: 6, b: 4, y: 5}. Give prob of sequence llbl. 4/273 What is prob of sequence bc when two letters picked without replacement from cccccccb? 1/8 What is prob of sequence dvdv when four letters picked without replacement from {v: 5, d: 5}? 5/63 Two letters picked without replacement from eeeeepffdpeedppef. What is prob of sequence ee? 7/34 What is prob of sequence pps when three letters picked without replacement from {p: 3, s: 4}? 4/35 Two letters picked without replacement from mmmmmmmwwwmmmwmmwmmm. Give prob of sequence mw. 15/76 Two letters picked without replacement from jcecjgejggecc. Give prob of sequence eg. 3/52 What is prob of sequence pspx when four letters picked without replacement from {j: 1, p: 5, y: 1, x: 3, c: 6, s: 3}? 5/2
{ "pile_set_name": "DM Mathematics" }
h + 20 = -f + 7*h. Put 14, 1, f in ascending order. f, 1, 14 Let h be 2/6*(8 + -128)/(-10). Suppose 5*v + 24 = -3*w, 4*v - h*w + 9 = -3*w. Sort v, -12, -5. -12, -5, v Let p = 5 - 0. Let l = 32916 + -32903. Put l, p, 2, 0 in increasing order. 0, 2, p, l Let b = -344 + 499. Let p = -159 + b. Put -9, -2, p in increasing order. -9, p, -2 Let v be 2/2*2*2. Suppose -4*n - 53 = 4*z - 49, 5*z - 13 = n. Sort 1, n, 0, v. n, 0, 1, v Suppose 0 = 27*a - 501 + 393. Put 4/5, -1/26, a in ascending order. -1/26, 4/5, a Suppose -33*h + 191 - 103 = -11*h. Sort h, -3, -25. -25, -3, h Let m(v) = -v**3 - 88*v + 2. Let a be m(0). Sort 3, a, 289 in ascending order. a, 3, 289 Suppose 0 = -5*u + 4*x - 70, 0 = 4*u + 30*x - 32*x + 50. Sort 2, 3, u, -1 in descending order. 3, 2, -1, u Let c = 20604 + -20604.3. Sort 3/44, c, 1/9, -2/5. -2/5, c, 3/44, 1/9 Suppose -t + 3*n + 12 = 0, 2*t + 2*n - 12 = 4*n. Suppose -5 = -48*q + 53*q. Put q, t, -4, 15 in decreasing order. 15, t, q, -4 Let n = -0.4259 + 0.2259. Sort -0.28, -5, n, 2. -5, -0.28, n, 2 Let o be (((-270)/(-360))/((-6)/8))/1. Sort -12, o, -3 in descending order. o, -3, -12 Let f = 4.1431 - 0.1431. Let r = -0.3 + 0.2. Let o = 3 + -6. Put f, o, r, 1/3 in ascending order. o, r, 1/3, f Let d be 141/3 - (14/(-35))/((-2)/10). Sort -3, d, 14 in decreasing order. d, 14, -3 Suppose 0 = -5*n - 45 - 15. Let r be (n/(-3))/2 + 0. Let t be 12 + (-33)/(-22) + (-114)/12. Sort r, 5, 0, t in descending order. 5, t, r, 0 Let k be (560/(-1008))/((-2)/18). Let z = 2.63 + 0.07. Let t = z + -3. Sort t, k, 1/4 in decreasing order. k, 1/4, t Suppose j = -24*v - 101 - 187, 3*j + 24 = -2*v. Let s(z) = -z**3 - 6*z**2 + z + 7. Let t be s(-6). Sort j, 105, t in ascending order. j, t, 105 Suppose 485 = -4442*h + 4345*h. Sort -1, 14, h, 20 in decreasing order. 20, 14, -1, h Let a = -34.5 + -11.5. Let d = a + 34. Let x be (-15)/9 + 2 + 21/(-36). Sort x, d, -1/6 in descending order. -1/6, x, d Let o = -4.1 - 0.9. Let x(w) = -1566*w - 18791. Let h be x(-12). Sort h, o, -1/5, -6 in descending order. h, -1/5, o, -6 Let f = -9 + 15. Let g(t) = -t**2 + f - 5*t - 13 + 18 + 41. Let j be g(-10). Put 2/21, j, -1/2, 1/8 in increasing order. -1/2, 2/21, 1/8, j Let v be -1 + 26/22 + (-14896)/(-836). Let x be 14/(-2) + v/(-13 + 16). Put 5, 14, x in decreasing order. 14, 5, x Suppose -17*w + 26*w = -5778. Let t = w - -645. Sort 81, 0, t in ascending order. 0, t, 81 Let r = -108 - -109. Let q be (84/35)/(6/40). Let k = -20 + q. Put -1, k, r, 0 in decreasing order. r, 0, -1, k Let k(c) = 272*c + 2181. Let b be k(-8). Sort -128, b, 28, -5 in decreasing order. 28, b, -5, -128 Suppose 0 = 5*r + 4*o - 4, -3*r + 2*o + 24 = -o. Let b be 172/(-36) - (-4)/(-18). Suppose 3*x - 3 = 6. Put b, x, r in ascending order. b, x, r Suppose -3*z + 4 + 8 = 0. Let o = -1510 + 624. Let d = o - -889. Sort -14, z, 2, d. -14, 2, d, z Let n be 27/33*(-13 + (-714)/(-54)). Put -1, 0.23, 3/10, -0.1, n in ascending order. -1, -0.1, n, 0.23, 3/10 Let m(j) = -j - 12. Let k be m(-14). Let f be 15/84*16/k. Let s = -1/14 - f. Sort s, -0.4, 3 in decreasing order. 3, -0.4, s Let a(v) = -v**3 + 4*v**2 + 25*v + 7. Let c be a(7). Suppose c*s = 43*s - 152. Let g be (-92)/84 + 2/3. Put g, s, 3 in decreasing order. s, 3, g Let y be (-158)/102 - (520/24)/(-13). Let n = -1/280 - 79/280. Sort n, -0.9, y in decreasing order. y, n, -0.9 Let x = -5.934 - -2.146. Let h = x - 0.212. Put 0, 1/20, h, 1/3 in descending order. 1/3, 1/20, 0, h Let k be -3 + (-57)/(-15) + (-296)/20. Let x be (-39)/k + (-4)/14 - 4. Sort -0.4, 0.1, x in ascending order. x, -0.4, 0.1 Suppose -12*v + 8*v = g - 188, 4*g - 3*v = 657. Sort -4, g, -2 in increasing order. -4, -2, g Suppose -4*m = -p - 25, 3*m - 3*p - 5 - 25 = 0. Suppose 4*s = 20 - 28. Let b be (-5 + 5)/(s*(2 + -1)). Put m, -2, 6, b in ascending order. -2, b, m, 6 Let j(z) = -z**2 + 14*z - 13. Let c be j(13). Let u be (2 - c)/(5/(75/6)). Suppose -12 = 5*y - 2*y. Sort -3, 2, u, y. y, -3, 2, u Let n be 47/5 + 0 - (-210)/(-21). Sort n, 1/3, 2, -6, -0.4 in descending order. 2, 1/3, -0.4, n, -6 Let j be 1/(-19) + (-15 - 3247/(-323)). Put j, 3, -17 in ascending order. -17, j, 3 Let k = -68.439 + 70.439. Let g = -11 + 16. Put g, -0.1, 0.1, k in descending order. g, k, 0.1, -0.1 Let s = 11730 - 58653/5. Put s, -0.5, 51.5, 3/8 in descending order. 51.5, 3/8, -0.5, s Let r = 6918.6 + -6919. Sort 3/4, 0, r, -173, 3/5 in increasing order. -173, r, 0, 3/5, 3/4 Let f be ((-2)/2)/(-9 - 40144/(-4462)). Let q = f - 319. Sort 8/5, q, 5/4 in descending order. 8/5, 5/4, q Let k = 1 - -49. Let u = k - 60. Let t = u - -8. Sort -3, -5/2, 4, t in ascending order. -3, -5/2, t, 4 Suppose -6*i - 64 = 10*i. Let b be 90*(44/(-110))/((-8)/(-10)). Sort b, i, -1/4 in ascending order. b, i, -1/4 Let l(a) = -a - 7. Let g be l(-5). Suppose 28*o = -14*o + 84. Suppose -4*n + 5 = 5*r, 3*r - o*r = 4*n + 1. Put 13, g, r in decreasing order. 13, r, g Suppose -6*q + 13 = -5*w, -q + 2*w + 9 - 8 = 0. Sort 12, q, 1 in descending order. 12, q, 1 Let y be (-1)/((-4)/8*(-2)/(-9)). Suppose 4*p = -5*u + 22 + 23, 5*u = -3*p + 30. Suppose p*g - y = 6. Sort g, -5, -1. -5, -1, g Suppose -2*v + b = 43 - 49, 4*b = 5*v - 18. Sort 1/15, v, -3/5, -4, 4. -4, -3/5, 1/15, v, 4 Let r = -1.74 + 1.94. Suppose 196 = -2*s - 2*a + 46, -2*s - a - 146 = 0. Let m = 567/8 + s. Sort r, m, 1. m, r, 1 Let y = 308 - 292. Suppose -h = w + 3*h + y, -8 = 5*w + 2*h. Sort -4, 1, w, -6. -6, -4, w, 1 Suppose 2544 = 27*h - 3018. Let d = h + -1038/5. Sort 0, d, -3 in descending order. 0, d, -3 Let j = 0.171794 - -4.828206. Let a = 0.3 + 0.7. Let t = 1.5 - a. Sort t, j, 27 in ascending order. t, j, 27 Let r = -347 - -342. Let x(f) = -2*f**2 + 3*f**2 + 9*f + f**2 - 7. Let s be x(r). Sort 0.01, s, -1/2 in ascending order. s, -1/2, 0.01 Let u = -21266 + 21270. Let j(k) = k + 2. Let f be j(-5). Put -9, 5, f, u in decreasing order. 5, u, f, -9 Let d = -0.3 - -0.2. Let y = 0 - d. Let z be ((-64)/100 - -1)/((-480)/(-800)) - 1. Put y, -1, z in descending order. y, z, -1 Suppose 0 = -13*r - 23 - 29. Let l be r/(-14) + 1/(-28). Put 7/5, 3/5, l, -0.1 in increasing order. -0.1, l, 3/5, 7/5 Suppose 81*a + 261 - 18 = 0. Let s = 35 - 25. Let l = -14 + s. Put l, 4, a, 5 in descending order. 5, 4, a, l Let p = -64/595 + -3/85. Let t(s) = -s**2 + 15*s + 13. Let u be t(16). Sort -5/3, p, 5, u in increasing order. u, -5/3, p, 5 Let r(i) = -597*i - 26. Let y be r(0). Put 7, 4, y, 1, 2 in descending order. 7, 4, 2, 1, y Let f be (32/(-40))/2*100/(-260). Let s = -96 - -157. Sort 1, f, s in descending order. s, 1, f Let p = -12 + 33. Let s be p/(-12)*1/21*-2. Sort s, -0.2, -41 in descending order. s, -0.2, -41 Let a be 3*(-3)/(-81)*(-87)/4147*-26. Let i = 0.3 + -0.2. Sort i, a, -4 in decreasing order. i, a, -4 Let o(c) = 17*c + 115. Let r be o(-6). Suppose 3*i = -5*n - r, 2*n + 4*i + 4 = -2*n. Put n, 5, -3, 1 in ascending order. n, -3, 1, 5 Let z(h) = h**2 - 8*h + 1. Let q be z(8). Let f(b) = b**2 - 42*b - 2997. Let y be f(80). Put 4, y, -4, q in ascending order. -4, q, 4, y Let u = -58 + 24. Let g = u + 33.984. Let v = g - -0.216. Put -3, 11, v in ascending order. -3, v, 11 Let d(l) = -3*l + 29. Let w be d(8). Let q = w - -37. Put q, -5, -1, -2 in descending order. q, -1, -2, -5 Let y(z) = z**2 - 45*z + 291. Let q be y(37). Let f = 2 - 3. Let m(v) = -v**3 - 8*v**2 + 10*v + 7. Let n be m(-9). Sort n, 3, f, q. q, n, f, 3 Let v = 175.98 + -176. Let x = 47/261 - 2/29. Suppose -4*p = z + p + 12, -z + 4*p = -15. Put z, x, v in descending order. z, x, v Let g = -0.7355 + 3.0355. Sort 5, g, -0.005. -0.005, g, 5 Suppose -155 - 230 = -77*d. Suppose 4*p - 2 = 3*p. Let n be (-4 + p)*(2 - 4). Sort d, -4, n, -6 in decreasing order. d, n, -4, -6 Let h = -349/14 + 4567/154. Sort h, 1, 0.5, 2 in decreasing order. h, 2, 1, 0.5 Let d be 176/(-40)*1*5. Let q = 1263 + -1262.5. Sort -0.5, d, q. d, -0.5, q Suppose 10*n = -2*s + 13*n + 22, -5*s + 3*n = -37. Sort 24, 3, -32, s in increasing order. -32, 3, s, 24 Let u(d) = 2*d**3 - d**2 - d + 2. Let x be u(0). Let b be -5 - (-2 - (x + 0 - 3)). Let o = 90 - 357/4. Sort -2/29, o, b in decreasing order. o, -2/29, b Let m = -9 - -9.1. Let l = m + -56.1. Let u = l - -60. Sort 2, -3/4, -1, u. -1, -3/4, 2, u Let b be 3120/507 - (-1 - -7). Suppose 0*i + 2*i + 406 = 0.
{ "pile_set_name": "DM Mathematics" }
(f) be the second derivative of -11*f**4/3 + 55*f**2/2 - 246*f + 1. Let u(p) = p**2 - 1. What is h(m) + 55*u(m)? 11*m**2 Let s(p) = 0*p + 2*p + 4 + 0*p - 7*p. Let q = 741 + -745. Let c(x) be the second derivative of -5*x**3/3 + 9*x**2/2 - 11*x. Give q*c(w) + 9*s(w). -5*w Let x(y) = -2*y**2 - 32 + 67 + 6*y - 8*y - 31. Let z(a) = -3*a**2 - 3*a + 5. Calculate -4*x(o) + 3*z(o). -o**2 - o - 1 Let k(t) = t - 1. Suppose -3*j + 6 = -9. Let q(o) = -2 - 4*o - 2 - 24*o**2 + j + 23*o**2. Let g be ((-9)/(-27))/((-2)/6). Calculate g*q(p) - 2*k(p). p**2 + 2*p + 1 Let g(i) be the third derivative of -i**5/20 + i**4/2 - i**3 + 280*i**2. Let t(y) = 2*y**2 - 11*y + 5. Determine 3*g(j) + 4*t(j). -j**2 - 8*j + 2 Let u = -1 + 2. Let i(j) = -6*j - 2. Suppose -276 = -3*o - 261. Suppose 5*b + o = 3*g - 15, 4*g - 4*b - 24 = 0. Let x(q) = q. Give g*x(l) + u*i(l). -l - 2 Let c(m) = -m - 39. Let n(d) = -22. Let p(x) = 3*c(x) - 5*n(x). Let o(a) = 3*a + 8. Determine -6*o(z) - 7*p(z). 3*z + 1 Let r(a) = -55*a**2 - 85*a + 85. Let f be ((-8)/(24/15) - -14) + (-1 - 2). Let j(x) = 4*x**2 + 6*x - 6. Give f*r(k) + 85*j(k). 10*k**2 Let l(y) = -4*y**3 - 5*y**2 + 8. Let b(u) be the third derivative of -u**5/60 + 2709*u**2. Calculate 5*b(g) - l(g). 4*g**3 - 8 Suppose -147 + 153 = z, -5*z + 8 = 2*w. Let a(b) = 316*b**3 + 11*b**2 - 11*b + 11. Let u(j) = 63*j**3 + 2*j**2 - 2*j + 2. Give w*u(n) + 2*a(n). -61*n**3 Let k(w) = 612*w**2 + 14*w + 9. Let m(v) = 305*v**2 + 7*v + 4. Calculate -4*k(s) + 9*m(s). 297*s**2 + 7*s Let l(c) = 6*c**2 + 10*c - 26. Let r(m) = m**2 + 4*m - 8. Determine -3*l(d) + 8*r(d). -10*d**2 + 2*d + 14 Let y(m) = -6*m**3 - 4*m**2 + 2. Let n(b) = b**3 - b**2. Give 4*n(a) - y(a). 10*a**3 - 2 Let t(z) = 56*z**3 + 14*z - 12. Let d(l) = 24*l**3 + 7*l - 7. Give 5*d(o) - 3*t(o). -48*o**3 - 7*o + 1 Let f(v) = -5*v + 21. Let k be 8 + (-2 - -65094) + -4. Let i(g) = 11 + k*g - 6 - 65097*g. Determine -4*f(m) + 18*i(m). 2*m + 6 Let z(s) = -622*s + 4. Let i(f) = -14*f - 1. Determine 20*i(x) + 5*z(x). -3390*x Let t(r) = 371*r + 15449. Let s(j) = 7*j + 297. Calculate -105*s(h) + 2*t(h). 7*h - 287 Let x(j) = -4*j**3 + 8*j**2 - 13*j + 5. Let n(h) = 3*h**3 - 7*h**2 + 10*h - 7. Give -5*n(m) - 4*x(m). m**3 + 3*m**2 + 2*m + 15 Let t = 993 + -997. Let i(x) = 14*x**2 - 11*x + 11. Suppose c = -0*c + 2. Suppose c*m + 11 = m. Let q(w) = -5*w**2 + 4*w - 4. What is m*q(g) + t*i(g)? -g**2 Let f(i) = -5*i**2 + 336*i - 12. Let j(u) = 6*u**2 - 336*u + 16. Calculate -5*f(t) - 4*j(t). t**2 - 336*t - 4 Let v(l) = -24*l - 33. Let p(u) = 3*u + 4. Let x = -979 - -1012. Calculate x*p(r) + 4*v(r). 3*r Let x(p) = 35*p**2 - 3*p. Let h(n) = 20*n**3 - 210*n**2 + 7*n - 1. What is h(w) + 6*x(w)? 20*w**3 - 11*w - 1 Let t be ((6 - 2) + -1)*1. Suppose 2*z - 543 = -3*r - 517, 0 = 2*r - z - 15. Let p(w) = -4*w**3 - 8*w**2. Let h(q) = q**3 + 3*q**2. Calculate r*h(v) + t*p(v). -4*v**3 Let b(u) = -29*u**2 + 9*u. Suppose 24 = 50*m - 42*m. Suppose m*l = -15 + 42. Let g = -40 + 38. Let t(k) = -7*k**2 + 2*k. What is g*b(d) + l*t(d)? -5*d**2 Let p(z) = z**3 - z**2 + 2*z - 3. Let q(b) be the third derivative of 0*b**5 + 29*b**2 - 1/6*b**3 + 0 + 0*b + 1/120*b**6 + 1/24*b**4. What is p(g) - 3*q(g)? -2*g**3 - g**2 - g Let f(d) = -2*d**2. Let j(z) = -z**2. Suppose 0 = -598*h + 592*h - 24. Suppose -3*q + 1080 = -9*q. Let m be ((-3)/(-9))/(5/q*h). What is m*j(g) - 4*f(g)? 5*g**2 Let d(o) = 12*o**3 + 9*o + 9. Let j(g) be the third derivative of -g**6/20 - 5*g**4/24 - 5*g**3/6 - 240*g**2 + 4. Determine 5*d(x) + 9*j(x). 6*x**3 Let s(x) = -x**3 - 17*x**2 + 9*x - 11. Let u(a) = -180 + 397 - 3*a + 7*a**2 - 213 - a**2. Determine 6*s(w) + 17*u(w). -6*w**3 + 3*w + 2 Let l(t) = -117*t + 572. Let m(v) = -408*v + 1716. Determine 7*l(w) - 2*m(w). -3*w + 572 Let u(t) = 405*t**2 + 55*t - 55. Let m(v) = 29*v**2 - 15940*v + 31888*v - 15944*v - 4. Give -55*m(j) + 4*u(j). 25*j**2 Let x(f) = 1. Let h(y) = -y**2 - 2*y - 349. Give -h(j) - 3*x(j). j**2 + 2*j + 346 Let c(p) = 5*p**3 - 2028*p**2 - 3*p + 3. Let f(j) = -14*j**3 + 6084*j**2 + 8*j - 8. Determine 8*c(n) + 3*f(n). -2*n**3 + 2028*n**2 Let t(w) = w - 8. Let z(r) = 2*r - 2. Let i(y) = -15*y - 14*y - 10*y + 25*y + 27. Let f(g) = i(g) + 6*z(g). What is -6*f(h) - 11*t(h)? h - 2 Let f(r) = -1826*r**3 + 208*r**2 - 4. Let j(h) = 1827*h**3 - 260*h**2 + 5. What is -5*f(a) - 4*j(a)? 1822*a**3 Let x(n) = 13*n**3 + 511*n**2 - 43*n + 4. Let q(l) = -7*l**3 - 255*l**2 + 24*l - 2. Give 9*q(y) + 5*x(y). 2*y**3 + 260*y**2 + y + 2 Let n(b) = b**2 - 1. Let h = 2 + 0. Let f(o) = 0*o + h*o**3 + 2 + 2*o**2 + 2 - 4*o**2 + 3*o. Let g = -1500 + 1496. Calculate g*n(r) - f(r). -2*r**3 - 2*r**2 - 3*r Let q(z) = 6*z**2 + 16*z + 14. Let y(o) = 4*o**2 + 11*o + 9. Suppose 0 = 3*f + 4*r + 96 - 60, 0 = 2*f - r + 13. Determine f*y(d) + 5*q(d). -2*d**2 - 8*d - 2 Let i(p) = 11665*p**3 - 40*p**2 - 14*p - 5. Let s(b) = 5832*b**3 - 24*b**2 - 8*b - 3. Give -3*i(x) + 5*s(x). -5835*x**3 + 2*x Let o(p) = 3*p. Let s(a) = 141*a - 12*a**2 - 130*a + 6*a - 185*a - 2*a**2. What is 168*o(k) + 3*s(k)? -42*k**2 Let j(o) = 2*o**2 - 9*o - 5. Let b(k) = -k - 1. Let q = 34 + -20. Suppose -32 + q = -3*a. What is a*b(i) - j(i)? -2*i**2 + 3*i - 1 Let q(a) = 2*a**3 + 2*a**2 + 5. Let d = 12423 - 12416. Let g(h) = 6*h**3 + 6*h**2 + 16. Determine d*q(z) - 2*g(z). 2*z**3 + 2*z**2 + 3 Let m = -51636 - -51640. Let l(y) = 6*y**2 - 7*y - 6. Let x(c) = -5*c**2 + 6*c + 5. Let i = 21 - 6. Let n be (-1)/(3/i)*-1. Calculate m*l(j) + n*x(j). -j**2 + 2*j + 1 Let k(l) = 21*l**2 - 11*l + 18. Let i(s) = 7*s**2 - 4*s + 7. Let j(c) = -8*i(c) + 3*k(c). Let t(w) = -22*w**2 + 4*w + 7. What is -7*j(m) - 2*t(m)? -5*m**2 - m Let q(m) = -m**3 + 10*m**2 - 11*m - 33. Let n be q(8). Let y(x) = -19*x + 2. Let f(l) = 28*l - 3. Give n*y(i) + 5*f(i). 7*i - 1 Let w(z) = -z**3 + z**2. Let h(r) be the second derivative of r**5/20 - r**4/4 - 5*r**2/2 + 7677*r. Suppose -6 = -4*s + 6. Calculate s*w(d) + h(d). -2*d**3 - 5 Let t(f) = -16*f**3 - 11*f**2 - 2485*f. Let a(i) = 3*i**3 + 2*i**2 + 497*i. Give 11*a(c) + 2*t(c). c**3 + 497*c Let q(p) = 5109*p**2 - 11*p - 8. Let u(h) = -1700*h**2 + 4*h + 3. Determine 3*q(s) + 8*u(s). 1727*s**2 - s Let f(j) = -13*j**2 - 237*j - 16. Let d(v) = 4*v**2 + 80*v + 6. What is 8*d(u) + 3*f(u)? -7*u**2 - 71*u Let k(n) = 39*n - 255. Let s(p) = 14*p - 85. Determine -6*k(z) + 17*s(z). 4*z + 85 Let j(x) = -4*x**2 + 2. Let q(t) = -307*t**2 - t - 10. Determine 5*j(m) + q(m). -327*m**2 - m Let l(o) = o**2 - 9*o + 1. Let k(h) = 54*h**2 + 157*h - 12. Calculate -k(i) - 12*l(i). -66*i**2 - 49*i Suppose -8*n + 184 = -472. Let h(p) = 0*p + 89 - p + n - 172. Let x(c) = c + 6. Determine 6*h(y) + x(y). -5*y Let x(m) = -1. Let c(b) = -16*b**2 + 3*b + 3. Let j(i) = -10*i**2 + 2*i + 2. Let n(o) = 2*c(o) - 3*j(o). What is -n(r) + 4*x(r)? 2*r**2 - 4 Let c = 285 + -288. Let n be (2/4)/(-8*3/(-48)). Let h(z) = -3*z. Let y(l) = -2*l. What is c*y(j) + n*h(j)? 3*j Let n(b) = 67*b. Let s(h) = 232*h + 188. Give -3*n(g) + s(g). 31*g + 188 Let h(x) = x - 1. Let t(d) = -5*d + 16. Suppose 2*i + 2 = -4*y, 35*y = 31*y - 5*i - 11. Determine y*t(m) + 6*h(m). m + 10 Let k(j) = j - 1. Let o(l) = -2*l**3 + 140*l**2 + 2*l - 5. What is k(u) - o(u)? 2*u**3 - 140*u**2 - u + 4 Let u(s) = -11*s**3 + 3*s. Let a(g) = g**3 + g + 5998 - 5998. Give -4*a(n) + u(n). -15*n**3 - n Let l(v) be the second derivative of 11*v**3/6 - 2*v**2 - 32*v. Let s be 1 + -4 + -3 + -7 + 6. Let n(b) = -21*b + 7. What is s*l(i) - 4*n(i)? 7*i Let s(b) = -311*b + 2. Let h(a) = -837*a + 5. Let j(u) = 3*h(u) - 8*s(u). Let d(q) = -11*q - 1. What is -5*d(i) + 3*j(i)? -14*i + 2 Suppose 0 = -11*y + 62 + 158. Suppose j - y = -22. Let o(u) = 5*u + 2. Let b(z) = -10*z - 5. What is j*b(q) - 5*o(q)? -5*q Let s(u) = -6183*u - 62. Let m(y) = -4122*y - 44. Determine -7*m(z) + 5*s(z). -2061*z - 2 Let g(u) be the first derivative of 8*u**3/3 - 25*u**2/2 - 2*u - 2358. Let w(o) = o**2 + o. Calculate -g(b) + 6*w(b). -2*b**2 + 31*b + 2 Let k(l) = 3*l - 1 + 3*l + 4*l - 8*l - l. Let c(m) = 0*m**2 - m**2 + 6 - 6*m**3 - 3*m**3 + 10*m**3 - 6*m. What is -c(h) - 6*k(h)? -h**3 + h**2 Let n(i) = -44*i + 425. Let c(u) = 87*u - 898. Determine -4*c(k) - 9*n(k). 48*k - 233 Let y(c) be the first derivative of -c**3/3 + c**2/2 + c + 1. Let p(z) = -6*z**2 + z + 1. Suppose s -
{ "pile_set_name": "DM Mathematics" }
0.2, -5/2? -11 What is the second biggest value in -0.24, 4, -3, 3? 3 What is the second biggest value in -2/3, 2.8, 5, 0? 2.8 What is the smallest value in -1, -414, -1/5? -414 What is the biggest value in 0.2, -2/375, 0.1? 0.2 What is the second smallest value in -0.2, 1, 7, -3? -0.2 Which is the fourth biggest value? (a) -5 (b) 1/2 (c) -3/8 (d) -4 (e) 1/11 d Which is the third biggest value? (a) 0.3 (b) -3 (c) 1/4 b Which is the third biggest value? (a) -0.4 (b) 5 (c) 1 (d) -201 a Which is the third smallest value? (a) -4 (b) 1.3 (c) -2 b Which is the biggest value? (a) -0.1 (b) 4 (c) 0.6 (d) -5 (e) -17 b What is the biggest value in -0.102, 0, 1? 1 Which is the smallest value? (a) -1/5 (b) -0.16 (c) -2/19 a Which is the smallest value? (a) 0.8 (b) -30 (c) 2/21 (d) -5 b Which is the second smallest value? (a) 19 (b) -1.1 (c) -2 (d) -4 c What is the biggest value in 2, -14, 0.4? 2 What is the fourth biggest value in 2, 2/19, 264, -2/17? -2/17 What is the third biggest value in 2/3, -0.91, -55? -55 What is the second biggest value in 3/8, 1/8, 24, -0.3, 1.8? 1.8 What is the second biggest value in 0, 5/4, -1, -0.026? 0 What is the third biggest value in -2, 0.2, -0.164? -2 What is the fourth biggest value in -5, 0.11, -2, 4/17? -5 Which is the fourth smallest value? (a) -9 (b) -12 (c) -6 (d) -2 (e) -1 d What is the fourth biggest value in -0.16, -2/29, 2, -5, 1? -0.16 Which is the smallest value? (a) 4 (b) -1 (c) 0.1 (d) -7/87 b Which is the biggest value? (a) 5/2 (b) 0.1 (c) 2 (d) -2 a Which is the fourth smallest value? (a) 0.03 (b) -5 (c) 9/5 (d) 1 c Which is the biggest value? (a) 3 (b) 103 (c) 7/2 (d) -2/11 (e) -1 b What is the biggest value in -2/11, -10, 8? 8 Which is the third biggest value? (a) 5 (b) -4/5 (c) -4 (d) 1/5 b Which is the smallest value? (a) 1 (b) -22 (c) -0.2 b What is the fourth smallest value in -2/83, -1, -4, -9? -2/83 What is the fifth biggest value in 0.027, 2/3, 5, 0, 0.5? 0 Which is the fourth smallest value? (a) -1/3 (b) 11 (c) -9 (d) -2/13 b Which is the second smallest value? (a) -5 (b) 0.039 (c) 0 c What is the second biggest value in -1/6, 0.2, -2/11, 0.4? 0.2 Which is the fifth smallest value? (a) 1/4 (b) 2/19 (c) -10/7 (d) 1 (e) 2.9 e Which is the smallest value? (a) 3 (b) -10 (c) 0 (d) 5/6 (e) -0.2 b What is the third biggest value in 0.5, 8, -2, 0.1? 0.1 What is the fourth smallest value in 4, -0.2, -2, 0.1? 4 Which is the biggest value? (a) 0.3 (b) -4 (c) -3 (d) -4.4 (e) 1 e Which is the biggest value? (a) 11 (b) -372 (c) -3 a What is the third smallest value in -131, -32, 0? 0 Which is the second smallest value? (a) -2 (b) 4 (c) -0.01 (d) 0.3 (e) 3 c What is the fourth biggest value in -0.2, 1/7, -2/31, 9/7? -0.2 What is the second smallest value in -18, -0.4, 3? -0.4 What is the second smallest value in 7, 0.33, -0.7? 0.33 Which is the second smallest value? (a) 2/13 (b) 0.5 (c) 53 b What is the second biggest value in 0.35, 2/9, 0? 2/9 What is the second smallest value in 26, 1/2, -2/13? 1/2 What is the third smallest value in 2, 106, 3? 106 What is the third biggest value in -29, -2/5, -1? -29 What is the third smallest value in -3, -0.9, 0.2, 0, 1.1? 0 Which is the fourth biggest value? (a) 0.3 (b) -3 (c) -1 (d) 1/3 b What is the fourth biggest value in 2/15, 2/17, -14, -26? -26 What is the smallest value in -26, 0, 4? -26 Which is the biggest value? (a) 4/7 (b) 12.15 (c) -1/9 b What is the fourth smallest value in 4, -132, -1/4, 1/3, 3? 3 Which is the biggest value? (a) -4 (b) -6/5 (c) 0.6 c What is the fourth biggest value in -2/9, 0.05, 1, -3, 2/9? -2/9 What is the second biggest value in 1/7, 3.7, 4, -5? 3.7 Which is the third biggest value? (a) -5 (b) -27 (c) 1/9 b What is the second smallest value in 4, -28, 0.2, -1? -1 Which is the third biggest value? (a) -1.2 (b) 1 (c) 1134 a What is the fourth biggest value in -0.3, -4, -5/4, 11/4, 3/2? -5/4 What is the fourth smallest value in 2.5, 2/13, -2/5, -3, 0.5? 0.5 Which is the second smallest value? (a) 0 (b) 3 (c) -2/15 (d) -2/19 d Which is the second biggest value? (a) -11 (b) -0.4 (c) -2/15 (d) 0.3 c Which is the second smallest value? (a) 0.02 (b) 0 (c) 4 (d) 51 a What is the fourth smallest value in 610/7, 0.1, -1/3, 3? 610/7 Which is the fifth smallest value? (a) -4 (b) -0.07 (c) 0.3 (d) -5 (e) 1/12 c What is the second smallest value in -100, -0.3, -3/4, -0.5, -1? -1 Which is the second smallest value? (a) 11/5 (b) -1 (c) 0.1 c What is the second biggest value in 11, 0.5, -7? 0.5 What is the third smallest value in -2/11, 4/3, -3, -2/13, 2? -2/13 Which is the fourth smallest value? (a) 3 (b) 5 (c) -1 (d) 1 b Which is the smallest value? (a) -10 (b) 0.29 (c) -6 a What is the biggest value in 0.3, -3, -0.18? 0.3 What is the second biggest value in 5, -2/11, -250? -2/11 Which is the second smallest value? (a) 3/16 (b) -1 (c) -3/250 c Which is the biggest value? (a) -36/7 (b) -22 (c) 0 c Which is the third biggest value? (a) -5 (b) 1275 (c) -1 a Which is the fourth biggest value? (a) -0.2 (b) 4/5 (c) -2 (d) -226 (e) -3 e What is the second smallest value in 0.5, -4/13, -5/2? -4/13 Which is the third smallest value? (a) 1.08 (b) -1 (c) -0.4 (d) -66 c What is the smallest value in 0.1, -0.4, -2/3, 0? -2/3 Which is the smallest value? (a) -5 (b) 15 (c) 2 (d) 3 a What is the smallest value in 1, -11, -4? -11 What is the fifth smallest value in 1, 159/8, -5/3, -2/9, -0.1? 159/8 What is the fifth biggest value in 1, 6, -5, -4/9, 4? -5 What is the smallest value in -2/89, 0.4, -0.08, 5? -0.08 What is the third biggest value in -5, 2/3, -0.1, -0.08? -0.1 Which is the third biggest value? (a) -3 (b) 0.3 (c) 20 (d) -3/17 (e) -0.2 d Which is the fourth smallest value? (a) -1/2 (b) -5 (c) -0.02 (d) -2 c What is the second biggest value in -3/5, 4, -2, -26/7? -3/5 What is the biggest value in -0.07, 0.4, -0.3? 0.4 What is the second smallest value in -3, -1/6, 1/8? -1/6 What is the second biggest value in 3/16, -2, 3, 2? 2 Which is the fourth biggest value? (a) 96/25 (b) -0.3 (c) -0.4 (d) 0 c Which is the fourth smallest value? (a) 1 (b) 2 (c) -2 (d) 4 d Which is the second biggest value? (a) 0.73 (b) 0.5 (c) 0.2 (d) 3 a What is the fourth smallest value in 3, -0.5, -43, 0.3? 3 What is the second smallest value in 1/2, 0.1, -2, -349? -2 What is the smallest value in -15, 0, -1, 31/2, 4? -15 Which is the biggest value? (a) -2 (b) 1/2 (c) 3.55 c What is the third smallest value in 1/7, -3, 0.4, 0.061? 1/7 Which is the fourth biggest value? (a) 3 (b) -27 (c) -3 (d) -0.4 (e) 3/5 c What is the fourth smallest value in 4, 3/7, -0.03, -1.5? 4 What is the smallest value in -1/5, -0.3, 1/3? -0.3 What is the biggest value in -5, 0.49, 3, -2? 3 Which is the third smallest value? (a) 2 (b) 1/3 (c) 0 a What is the biggest value in 0.5, 4, 1.8, 2/3? 4 What is the second biggest value in 4/5, 0.4, -4, -9/47, 0.2? 0.4 Which is the biggest value? (a) 32 (b) 5 (c) -4 (d) -2/15 a Which is the second smallest value? (a) 1 (b) -0.21 (c) 0 (d) -2 b Which is the third smallest value? (a) -0.05 (b) -0.3 (c) 3 (d) 4/13 (e) 4 d What is the biggest value in 3, -109, -2? 3 Which is the fifth biggest value? (a) 3 (b) -17 (c) -5 (d) 0.02 (e) -28 e What is the third biggest value in -0.3, -0.1, 3, 2/9? -0.1 What is the third biggest value in -0.3, -2, 128, -6? -2 What is the fourth smallest value in 8, 4, 6, 2/11? 8 Which is the biggest value? (a) -228 (b) -0.2 (c) 0.2 c What is the biggest value in -6/11, -1, 17? 17 Which is the second biggest value? (a) -16 (b) 0.1 (c) 0.4 (d) 0.2 (e) 47 c What is the second biggest value in 115, -6/7, 3/2, 2/3, 0? 3/2 Which is the second smallest value? (a) -2/5 (b) 0.01 (c) -4 a Which is the third biggest value? (a) 0.03 (b) 51 (c) 4/5 a Which is the third smallest value? (a) 3/7 (b) -3 (c) -0.1 (d) 0.7 a Which is the third smallest value? (a) -13 (b) -0.3 (c) 2/5 c Which is the third smallest value? (a) -2 (b) 2/9 (c) 0.275 c Which is the fourth smallest value? (a) 2/7 (b) 12.5 (c) -1/15 (d) 5 b What is the sma
{ "pile_set_name": "DM Mathematics" }
-3, -9, -5. -9, -5, -3, -2 Sort -0.16, -2.4, -1/3 in ascending order. -2.4, -1/3, -0.16 Sort -11, -4, 16, 9 in ascending order. -11, -4, 9, 16 Put -13.1, 4, 3, 2 in decreasing order. 4, 3, 2, -13.1 Put 3, -4, 56, 5 in increasing order. -4, 3, 5, 56 Put 64/3, -2, 0 in decreasing order. 64/3, 0, -2 Sort -460, -5, -1. -460, -5, -1 Put 0.5, -5/3, 4, 1/7 in decreasing order. 4, 0.5, 1/7, -5/3 Put -1, 1, -5, -112 in ascending order. -112, -5, -1, 1 Sort -3, 6, 4, 1 in increasing order. -3, 1, 4, 6 Put 79, 5, -2 in ascending order. -2, 5, 79 Put -21, 3, -2, -4 in descending order. 3, -2, -4, -21 Put -138, -3, 0.4 in decreasing order. 0.4, -3, -138 Put 6, 1, 2, 0 in decreasing order. 6, 2, 1, 0 Sort -0.5, 26, 5, -5 in ascending order. -5, -0.5, 5, 26 Put 2, 2.4, 0.3, 1/3 in decreasing order. 2.4, 2, 1/3, 0.3 Sort -3, 7, 12, 3. -3, 3, 7, 12 Sort 0, 4, 5, 1, -5 in descending order. 5, 4, 1, 0, -5 Put 2/3, 0.3, 12, 5, -41 in descending order. 12, 5, 2/3, 0.3, -41 Sort -1, -0.3, -30. -30, -1, -0.3 Put -29, -4, 0, -1, -2/3 in descending order. 0, -2/3, -1, -4, -29 Sort 85, 0.3, -5, 3/2 in descending order. 85, 3/2, 0.3, -5 Sort -2.6, 4, -3, -0.2, 2 in descending order. 4, 2, -0.2, -2.6, -3 Put -2, -11, -2/7, -1/3, -1/12 in descending order. -1/12, -2/7, -1/3, -2, -11 Put 0.3, -1, 165/28 in descending order. 165/28, 0.3, -1 Put 0, -3, 3, 257 in increasing order. -3, 0, 3, 257 Put 1, 0, -74, -1 in ascending order. -74, -1, 0, 1 Sort 21, 16, -2, -3. -3, -2, 16, 21 Sort 6, -1, -9, -2 in descending order. 6, -1, -2, -9 Sort -119, -4, 15, 1, 0 in increasing order. -119, -4, 0, 1, 15 Sort -2, 6, 5, 3, -5. -5, -2, 3, 5, 6 Put 1, -2/15, -0.4, 42 in descending order. 42, 1, -2/15, -0.4 Sort 71/4, 0.2, -0.03 in increasing order. -0.03, 0.2, 71/4 Sort -0.07, 5, -13, 0.3, 2/7 in ascending order. -13, -0.07, 2/7, 0.3, 5 Sort 4, -1/7, -1, -7/5, -0.5 in descending order. 4, -1/7, -0.5, -1, -7/5 Sort 3, 4, 72 in descending order. 72, 4, 3 Sort -7, 0, 3, -20, -4 in decreasing order. 3, 0, -4, -7, -20 Sort 2, 3, -3, 5, 63 in decreasing order. 63, 5, 3, 2, -3 Sort -2/3, -10, -0.1 in descending order. -0.1, -2/3, -10 Sort 1/2, 1/11, -17, -0.3, -1. -17, -1, -0.3, 1/11, 1/2 Put 276, -2, -3, -5 in descending order. 276, -2, -3, -5 Put -5, 1, 5, -0.1 in descending order. 5, 1, -0.1, -5 Sort 3, -4, 120. -4, 3, 120 Sort 5, -5, -3, -11 in ascending order. -11, -5, -3, 5 Put -9, 4, 1, -1 in descending order. 4, 1, -1, -9 Sort 1, 7, 2 in increasing order. 1, 2, 7 Sort -17, -1/3, 0.04, 2, 4 in descending order. 4, 2, 0.04, -1/3, -17 Put 1, 0, 40, 2 in ascending order. 0, 1, 2, 40 Put 1/14, -1/7, 0.4, -1, -1/3 in decreasing order. 0.4, 1/14, -1/7, -1/3, -1 Sort -0.1, -1, 518 in ascending order. -1, -0.1, 518 Put 5, 2/3, -0.9 in decreasing order. 5, 2/3, -0.9 Put -3, -0.03, 3/8, 0.2 in descending order. 3/8, 0.2, -0.03, -3 Put -144, 2/5, -0.1 in descending order. 2/5, -0.1, -144 Sort -0.1, -0.3, -1/3, -36, -9 in descending order. -0.1, -0.3, -1/3, -9, -36 Sort 0.5, 5/2, -2/11, 2 in decreasing order. 5/2, 2, 0.5, -2/11 Sort 243, 3, 4. 3, 4, 243 Put 1/5, -14, -0.029, -0.2, -3/7 in ascending order. -14, -3/7, -0.2, -0.029, 1/5 Put -2/81, -111, 0.1 in decreasing order. 0.1, -2/81, -111 Put 0.1, 1/4, -0.5, 20 in decreasing order. 20, 1/4, 0.1, -0.5 Sort -37, -1, -3, -2. -37, -3, -2, -1 Sort -5, -3, -572, 0. -572, -5, -3, 0 Sort -2, 2, 64, -11 in decreasing order. 64, 2, -2, -11 Sort 518, 5, -4/5 in ascending order. -4/5, 5, 518 Sort 0, -5, 144 in increasing order. -5, 0, 144 Put 1/3, 1/6, 350 in decreasing order. 350, 1/3, 1/6 Sort -3/2, 4, -25. -25, -3/2, 4 Sort -2/11, 3/11, 31. -2/11, 3/11, 31 Sort 4, 331, -8 in decreasing order. 331, 4, -8 Put -613, 5, 4 in increasing order. -613, 4, 5 Put -5, -2, 1 in decreasing order. 1, -2, -5 Sort -172, -3, 4 in ascending order. -172, -3, 4 Put -0.4, 1/3, -11, 0.05, -4 in decreasing order. 1/3, 0.05, -0.4, -4, -11 Sort -1, -11, -3, -38 in descending order. -1, -3, -11, -38 Sort -12, 12, 0 in increasing order. -12, 0, 12 Sort 2, -2/45, 0.7, -0.2, 0.4 in descending order. 2, 0.7, 0.4, -2/45, -0.2 Sort 0.1, -0.2, 2/3, -3.6, -2. -3.6, -2, -0.2, 0.1, 2/3 Sort -2.683, 2, 2/15 in descending order. 2, 2/15, -2.683 Put 293, -2/17, 2/3, -1 in increasing order. -1, -2/17, 2/3, 293 Sort 49, 4, 5 in descending order. 49, 5, 4 Sort 12, -3, -4, 3 in descending order. 12, 3, -3, -4 Sort 3/5, -1, 3, 0.03, 5 in decreasing order. 5, 3, 3/5, 0.03, -1 Sort 2, 53, -1, 5, -5 in increasing order. -5, -1, 2, 5, 53 Sort 5, 126, 4 in increasing order. 4, 5, 126 Put 0.03, -5, 14 in decreasing order. 14, 0.03, -5 Sort -21, 3/4, 1/7, -4/7. -21, -4/7, 1/7, 3/4 Put 2/5541, -2/13, 0, 1/6 in decreasing order. 1/6, 2/5541, 0, -2/13 Sort -4, -2, 200 in increasing order. -4, -2, 200 Sort 4/5, -1, -388, 1 in ascending order. -388, -1, 4/5, 1 Sort 0.2, 1/91, 0.1, -1/19, -2/11 in decreasing order. 0.2, 0.1, 1/91, -1/19, -2/11 Sort -0.1, -79, -2/5, 152 in increasing order. -79, -2/5, -0.1, 152 Sort -1/4, -11/3, -3 in decreasing order. -1/4, -3, -11/3 Sort 4, 5, -27 in decreasing order. 5, 4, -27 Put 2/5, -0.4, 2, -0.1, -5 in decreasing order. 2, 2/5, -0.1, -0.4, -5 Sort -5, 1, 3, 32. -5, 1, 3, 32 Sort 2, 1, -0.1, 11 in descending order. 11, 2, 1, -0.1 Sort 253, -2/7, 1/6 in decreasing order. 253, 1/6, -2/7 Put 0, 4, -6, 72 in decreasing order. 72, 4, 0, -6 Sort 3, 0, -25, -4 in increasing order. -25, -4, 0, 3 Sort 0.36, -2/15, 4, -2 in descending order. 4, 0.36, -2/15, -2 Sort -6, -5, 1117. -6, -5, 1117 Sort -62, -5, -3 in decreasing order. -3, -5, -62 Sort -5, 3, 12 in increasing order. -5, 3, 12 Sort 1, -19, -15. -19, -15, 1 Put -0.15, -2/11, -6, 1/5 in decreasing order. 1/5, -0.15, -2/11, -6 Put -2, -24, 5, 1/2, -1 in increasing order. -24, -2, -1, 1/2, 5 Sort 61, 0, -4 in decreasing order. 61, 0, -4 Sort -5, 3/17, 5. -5, 3/17, 5 Sort -5, -1/12, 0, -4 in increasing order. -5, -4, -1/12, 0 Put -4, 57, -3, 3 in descending order. 57, 3, -3, -4 Sort 18, 1/4, 4, 0.1, 3. 0.1, 1/4, 3, 4, 18 Sort 2, -10, -11. -11, -10, 2 Put -8, 1/2, -0.2 in ascending order. -8, -0.2, 1/2 Sort -5, 5, 21 in descending order. 21, 5, -5 Sort -4, -14, 1, 3. -14, -4, 1, 3 Put 4/5, -1, -1671, 4, 0 in descending order. 4, 4/5, 0, -1, -1671 Sort 3, 2, -34, -1, 5. -34, -1, 2, 3, 5 Sort 2/7, -3, 0.5, 1/4, 33 in increasing order. -3, 1/4, 2/7, 0.5, 33 Sort 13, -96, 5 in descending order. 13, 5, -96 Put -18.37, -0.3, 0.4 in increasing order. -18.37, -0.3, 0.4 Sort 2, 10, -2, -5 in descending order. 10, 2, -2, -5 Put -163, 0.5, 2/7 in increasing order. -163, 2/7, 0.5 Put -0.5, -1.1, -5, -8 in descending order. -0.5, -1.1, -5, -8 Put -2, 540, 4, -5, -3 in decreasing order. 540, 4, -2, -3, -5 Put -10.6, 3, -1, 2 in ascending order. -10.6, -1, 2, 3 Put 6, 3, -1, -5, -4 in descending order. 6, 3, -1, -4, -5 Put 5, -1, -9, -2, 17 in decreasing order. 17, 5, -1, -2, -9 Put -9, 5, -5, -4, 2 in decreasing order. 5, 2, -4, -5, -9 Sort 3, -137, 5. -137, 3, 5 Sort 11, -5, 0, -1. -5, -1, 0, 11 Put 5, -4/5, 2/17, 3, 3/8 in increasing order. -4/5, 2/17, 3/8, 3, 5 Put 172, -2, 13, 0 in decreasing order. 172, 13, 0, -2 Sort 0.4, 13, 8, -0.5 in descending order. 13, 8, 0.4, -0.5 Put 1, 4, -1223, 3 in decreasing order. 4, 3, 1, -1223 Sort 212, 1/2, 0.2, 1/3 in decreasing order. 212, 1/2, 1/3, 0.2 Sort -3, 5, 281, 4, -2 in descending order. 281, 5, 4, -2, -3 Sort 2, -3/2, 7, -0.3 in increasing order. -3/2, -0.3, 2, 7 Sort -4, -467, -5, 4 in descending order. 4, -4, -5, -467 Put 1/3, 3/8, -2, -2.2 in decreasing order. 3/8, 1/3, -2, -2.2 Sort 0.5, 0, 4, 53. 0, 0.5, 4, 53 Put 0, 1, -2, -4 in descending order. 1, 0, -2, -4 Put 5.6, -0.5, -0.4, 1/5 in decreasing order. 5.6, 1/5, -0.4, -0.5 Sort -143, -2, -16. -143, -16, -2 Sort 0.1, -0.05, -2/3 in decreasing order. 0.1, -0.05, -2/3 Put -5, -7, 30, -4 in descending order. 30, -4, -5, -7 Sort 8585, -4, 1. -4, 1, 8585 Put 0.09, -1, -0.1, 3, -6 in descending order. 3, 0.09, -0.1, -1, -6 Sort 2/11, 36/7, 2/7 in decreasing order. 36/7, 2/7, 2/11 Put 0.2, 0.5, -0.3, -1 in ascending order. -1, -0.3, 0.2, 0.5 Put -2, -0.5, 2/7, 40, 8 in ascending order. -2, -0.5, 2/7, 8, 40 Sort -0.2, 134.9, 1/4 in descending order. 134.9, 1/4, -0.2 Put -1, -3/5, 0.3, 0 in descending order. 0.3, 0, -3/5, -1 Sort -40, -2/
{ "pile_set_name": "DM Mathematics" }
6 + 3429. Calculate the common denominator of (0 - 82/140)/(-1) and g. 210 Find the common denominator of 25/6 and 3 + -4 + -1 + 1287/405. 90 Let r = 155832/22915 - 2/4583. Calculate the common denominator of r and -11/8. 40 Suppose -4*w = -5*d - 65, 2*w + 0*w - 2*d = 32. What is the smallest common multiple of w*(20/25)/1 and 5? 60 Let p be ((-138)/5)/((-6)/(-30)). Let w be 283/(-6)*p/4. Let c = 1635 - w. Calculate the common denominator of 121/6 and c. 12 Let f = 103 + -81. What is the smallest common multiple of f and 112? 1232 Let w = -71 - -101. Find the common denominator of -4 - (w/(-45) + (-55)/2) and 115/6. 6 Find the common denominator of -1*(-762)/(-48)*4/(-33) and 35/6. 66 Suppose -a + 2*a - 21 = -3*t, 0 = 5*a + t - 35. Suppose 0 = h - 3 - a. What is the smallest common multiple of h and 2? 18 Let z = -5366 + 633237/118. Calculate the common denominator of z and 29/6. 354 Let c = -11909/12 + 990. Let p = -2/2957 - 56095/130108. What is the common denominator of c and p? 132 Suppose -4*g - 36 = 2*g. Let z be g/(-15) - 154/10. Let b = z + 19. Calculate the least common multiple of b and 16. 16 Let w(s) = 24*s**2 + s - 1. What is the least common multiple of w(-1) and 2 - 2 - -12 - -2? 154 Let i be (5 - 2)*280/15. Suppose -2*r + i = 5*r. Calculate the least common multiple of 20 and r. 40 Suppose 14*o = -28*o - 1638. Calculate the common denominator of o and -46/3. 3 Suppose 0 = x - 2 - 2. Suppose -6 = 2*y + 2*k, x*y - y - 4*k = -16. What is the common denominator of -32/5 and ((-2)/8*146)/y? 40 Let y be (-2 - (-1)/(-1))*-1. Let m(z) = 4*z**2 + z + 3. Let d be m(y). Find the common denominator of 113/18 and (-51)/d - (-4 + 2). 126 What is the least common multiple of -5 - (-2)/((-16)/(-184)) and 15? 90 Let p = -85 - -91. Calculate the lowest common multiple of 124 and p. 372 Let p = -2/415 + -20331/830. What is the common denominator of -26/7 and p? 14 Let n = 82 + -85. What is the common denominator of -49/3 and ((-4)/(-6))/(78/(-23) - n)? 27 Let x = -1021 + 1226. Calculate the least common multiple of 41 and x. 205 Let w(z) = 4*z**2 + 14*z - 4. Calculate the lowest common multiple of w(-4) and 108. 108 Let y(b) = -2*b + 24. Let z be y(11). Let n(i) = 4*i**2 + i. Calculate the smallest common multiple of n(z) and 4. 36 Let h be 42/5*(23 - 8). Let o = 179 - 515/3. Calculate the common denominator of o and h/49 + -3 - (-223)/14. 6 Suppose -v + 5*z + 42 = 17, -5*v + 45 = -5*z. What is the smallest common multiple of 4 and v? 20 Let z = 2/71 + 2195/213. Find the common denominator of z and 24/53. 159 Suppose 3*c - 38 = -8. Calculate the least common multiple of c and ((-4)/3)/(-2)*(-4 - -79). 50 Let s(l) = l**3 - 14*l**2 - l + 17. Let y be s(14). Suppose -y*m + 6*m + 4*u - 22 = 0, -36 = -3*m + 3*u. Calculate the least common multiple of m and 1. 10 Let f(s) = s**3 - 6*s**2 + 7*s - 1. Let k(v) = 4*v**2 - 11*v + 6. Let c be k(3). Suppose 20*n - 88 = c*n. What is the least common multiple of f(5) and n? 72 Let z be 1 - -3 - ((-2852)/(-495) - 3). Let u = -29347/198 - -1334/9. Let x = u - z. Calculate the common denominator of x and -59/3. 30 Let u be (-112780)/52 + 6/(-39). Let m = u - -4421/2. What is the common denominator of 63/4 and m? 4 Let c = -285899/82803 - -3/7886. Calculate the common denominator of -29 and c. 42 Let l be (-13910)/276*(21/20 - 1). Let a = -1/46 + l. Calculate the common denominator of -139/12 and a. 24 Let m(l) = -l - l**2 + l + 0*l**2 + 5 + 8*l. What is the lowest common multiple of 11 and m(8)? 55 Find the common denominator of -101/72 and 46/3 + 35 + -34. 72 Let i = -4291/1152 + 1/384. What is the common denominator of -17/2 and i? 18 What is the common denominator of (-2 - (-33)/18)/((-1400)/3520) and 53/70? 210 Suppose -9*n = -7*n - 8. Suppose -3*z = n*t - 20, -17 = -5*z + 2*t + 51. What is the lowest common multiple of 18 and z? 36 Suppose 5*r + 2*c - 12 = 12, -15 = -r + 3*c. Let q = r - -41. What is the common denominator of q and -49/6? 6 Let m(h) = -h**3 - 22*h**2 + 237*h - 86. Suppose 0*r + 2*x + 38 = 3*r, 3*r = -x + 26. What is the least common multiple of m(-30) and r? 20 Let v = -49713748 - -894489415/18. Let d = v + 19899. Find the common denominator of 51/28 and d. 252 Let v(j) = -2*j**2 + 3*j - 6. Let w be v(6). Calculate the common denominator of 71/22 and (w - -1)*(3 + (-201)/66). 22 Let n = 2/158283 - -1090352/3323943. What is the common denominator of -37/2 and n? 378 Let r(u) = 3*u**3 - 3*u**2 - 2. Let s be r(3). Let t = -121/24 - -763/72. What is the common denominator of t and s/28*(-7)/(-6)? 18 Suppose 12*c = 9*c + 21. Calculate the smallest common multiple of 4 and (-58)/(-7) + (-2)/c. 8 Let h = -16 - -25. Suppose 0 = 2*v + 8*n - 8, v + 4*v = -3*n + 20. What is the least common multiple of h and v? 36 Suppose -6*m + 492 - 6 = 0. Suppose 3*b + m = 162. What is the least common multiple of b and 2? 54 Calculate the common denominator of 4*(-1 - 0) + (-2156)/(-1680) and -53/17. 1020 Suppose 0 = 6*p - 11*p + 3*j + 56, 3*p = j + 32. Calculate the least common multiple of 3 and -6*4/(-15)*p. 48 Let f(y) = y**3 + 3*y**2 - 4*y - 3. Suppose -1 = -2*d - 7. Suppose -31*v + 552 = 38*v. What is the lowest common multiple of v and f(d)? 72 Suppose 5*v - 156 = v. Let l be 1*(2/2 + 2). Suppose 0*c + l*o = -c + 21, 2*c - v = -5*o. What is the least common multiple of 2 and c? 12 Suppose 0*q + 4 = 2*v + 4*q, -2 = -2*q. Suppose 4*s + 46 - 166 = v. Find the common denominator of -41/13 and 0 - 0 - s/(-18). 39 Let s = -56 + 79. Let m = s + -2. Calculate the smallest common multiple of 8 and m. 168 What is the common denominator of 17/20 and 81/(-156)*(-121)/(-33)? 260 Suppose 116*w = 107*w + 72. Suppose 3*y - 6 = 0, 4*d = 5*y + 268 - 30. Calculate the least common multiple of w and d. 248 Suppose 2358 = 24*p + 918. Calculate the least common multiple of 80 and p. 240 Suppose -4*p = -x + 373, -208*x - p + 353 = -207*x. Calculate the lowest common multiple of 35 and x. 1785 Find the common denominator of -42/407 and (-82)/148*(14 - 5)/(-9). 814 What is the common denominator of -97/24 and 534/(-612) + 5/10? 408 Let f be (-6)/4 + 6/(-12). Let r = 24 - 4. Calculate the lowest common multiple of 8 and ((-24)/r)/f*5. 24 Let w be (-2)/7 + 194056/154. Let g = -1259 + w. Calculate the common denominator of 2850/(-495) + 4/6 - -1 and g. 11 Suppose 7*l = -12 + 68. Calculate the least common multiple of l and 511. 4088 Let b = -398 - -238. Let h = -216/7 + 28. What is the common denominator of h and (35/b)/(2/(-88))? 56 Suppose l = 10*l. Let j(m) = 3*m + 16 - 2*m + 0*m. Calculate the lowest common multiple of 16 and j(l). 16 Let t(l) = -2*l - 10. Let a be t(-10). Let d = a + -14. Let u(f) = -2*f - 6. Calculate the smallest common multiple of u(d) and 8. 8 Suppose -p + 4 = -12. Suppose 0 = t - 5 - 0. Suppose -66 = -3*u + 5*h, -t*u - 5*h + 0*h + 110 = 0. What is the lowest common multiple of u and p? 176 Let h be (-14 - -4) + (5 - 2) - 1. Calculate the smallest common multiple of (h - -2)*(-20)/3 and 3. 120 Let w = 2699 - 16109/6. Suppose -53 = -5*z - 3*k - 3, 2*k + 4 = 2*z. Suppose 0 = 2*p - z + 3. Calculate the common denominator of p and w. 6 Suppose 0 = -3*g + 4*g - 4. What is the least common multiple of 12 and g/(-14) + 240/105? 12 Suppose 2*a = -16 - 12. Let s = a - -22. What is the smallest common multiple of (-434)/(-56) + 2/s and 1? 8 Suppose -4 = 6*k - 2*k, y + 32 = -5*k. Calculate the common denominator of (-572)/(-1152) + (-6)/y and -121/20. 160 Calculate the smallest common multiple of 3/((-6)/144*-9) and 11. 88 What is the common denominator of 1*3*(1 + 203/14) and -79/40? 40 Let u(z) = -2*z**2 + 6*z**2 + 1 - 4 + 0*z**3 + z**3. Let d be u(-4). Let b = d - -11. What is the lowest common multiple of 5 and b? 40 Let r be (-12)/5 + (-6)/10. Calculate the common denominator of -1 - -1 - 90/16 and (-44)/r - (-32)/48. 24 Let m(h) = h**3 - 4*h**2 - 8*h - 16. Let o be m(10). Find the common denominator of -86/21 and 4671/o + 1/(-7). 168 What is the common denominator of -65/4 and 44/6*(-5 + (-119)/(-28))? 4 Let s(m) = 24*m - 278. Calculate the lowest common multiple of 6 and s(12). 30 Let p = 3 + 6. Let i(t) = -9*t - 35. Let x be -9 - (-5)/((-2)/(-2)). Calculate the lowest common multiple of i(x) and p. 9 Suppose
{ "pile_set_name": "DM Mathematics" }
o**2 + 6*o + 9. Suppose -3*z + z - 1 = 3*c, -5*z + 10 = 5*c. Let l be p(z). Solve -g + u + 25 = -3*u, -35 = -5*g + l*u for g. 5 Let r be -2 + 7 + (4 - 5). Suppose -r*o - 184 = -0*o. Let d be (42/(-4))/(23/o). Solve x - 3*j - j = -d, -5*j = 2*x - 23 for x. -1 Suppose -4*z = 2*w - 23 - 1, -4*w + 32 = 4*z. Solve f + 3 = -4*o - 8, 0 = -w*o + 4*f + 4 for o. -2 Suppose -4*z + 9 = -z. Suppose -f + z - 1 = 0. Let g be 1*(f - -1*6). Solve -2*i - 2*c = g, 0*i - 14 = i + 3*c for i. 1 Suppose 18*u - 9*u = 0. Solve u*i - 4*i = -2*t + 18, -2*i + 6 = 4*t for i. -3 Let d(z) = z**2 + 4*z - 135. Let s be d(10). Solve -s*c = -o - 8, 0 = 4*c - 3*c + 5*o - 12 for c. 2 Let m be (-110)/44*24/(-5). Solve u + 0*u - 16 = 4*x, -2*u = -4*x - m for u. -4 Suppose 10 = -s - 2*p, -11 - 4 = -s + 3*p. Solve 2*b - a + 3 + 10 = 0, s = a - 3 for b. -5 Let t = 36 + -24. Suppose -z + 4 = 3*s, 0 = -2*z - z + t. Let o = -13 - -16. Solve -4 = -o*q - 0*q - 4*w, s = -q - w for q. -4 Suppose -4*p + 0 + 16 = 5*v, -7 = -3*v - 5*p. Suppose -l = -4*f - 0 + 11, -v*l = 4*f - 56. Let t = 5 + -2. Solve -t*o = 2*g - l, 5*o - o - 5*g - 12 = 0 for o. 3 Suppose -f = 7 - 1. Let k = 0 - f. Let z = k + -2. Solve -z*u - 5*v = -4, -7*v + 3*v = 0 for u. 1 Suppose 185 = -f + 186. Solve 5*o - 10 = 4*p + 3, -o = -2*p + f for o. 5 Let k(m) = -m**3 + 5*m**2 - 2*m - 2. Let f be k(4). Suppose -3*i = 2*i - 45. Let j = i + -2. Solve -5*h = 2*y + 33, j*y + f = 2*h + 3*y for h. -5 Suppose r - 3*t - 2*t + 2 = 0, 0 = -5*r + 5*t - 10. Suppose -9*n - 15 + 96 = 0. Let x be (n + 1)/(0 - r). Solve 5 = x*z, -3 = o - 5*o - 3*z for o. 0 Let y(b) = 4*b**3 - 44*b**2 + 5. Let k be y(11). Solve s = -s - 3*z + 13, -5*s + k*z + 20 = 0 for s. 5 Suppose -3*q - 378 = -3*j, -5*j + 142 + 528 = 5*q. Suppose 0 = -4*i - 2*a + 108, 0 = -7*i + 2*i - 5*a + j. Solve 2*f + 5*l = 5*f - i, 2*f + l + 3 = 0 for f. 1 Let l(d) = 2*d + 20. Let m be l(-8). Solve 0 = m*q - u + 7, -6 = q + u + 2 for q. -3 Let q be (0 + 1)/(-1 - -2). Suppose 4*d = 7 + q. Let p(h) = -h**2 + 32*h - 57. Let a be p(30). Solve -28 = -4*o + 4*x, d*o + 6 = -0*x - a*x for o. 3 Let j = 1 + 3. Suppose -q + j*r + 27 = 5, 0 = -5*q - 3*r - 5. Solve -3*w + 0*w - 27 = 3*p, -2*w + 3*p = -q for w. -5 Let u = -43 + 46. Let q(r) = 6*r + 14. Let h be q(-2). Solve -h*f = 3*b - 13, 3*f = 4*b - b - u for b. 3 Let c be (-30)/(-9)*27/(-15). Let p(m) = m**3 + 5*m**2 - 6*m + 4. Let w be p(c). Solve -3*q + w*b = -1, 4*q + b = -4*b + 22 for q. 3 Suppose -5*z - 6 = -21. Solve x + z - 1 = -5*s, -4*x = 8 for s. 0 Let x be 0/((-1)/(-1) - -1). Let m = 67 - 60. Solve x*g + 14 = -2*g + 2*f, 3*g + m = -4*f for g. -5 Let m be (24/4)/(6/4). Suppose -b - 25 = -5*r, -45*b = 4*r - 43*b - 6. Solve 2*j + m = -4*i, 2*j + r*i = i - 4 for j. -2 Let z(c) = -c**2 + c + 6. Let l be z(-3). Let j(o) = -2*o**2 - 13*o - 1. Let a be j(l). Solve 6*f = f - 5*u - 30, -a*f + 5*u = 0 for f. -3 Let n be 21 - (1 - 0/3). Suppose -2*w = -6*w + n. Suppose 5*s + 10 = 3*g - 10, 0 = -2*g - 5*s + 5. Solve 0*x - 3*h + 3 = -3*x, -35 = -w*x - g*h for x. 3 Suppose 0*i - i = -21. Suppose -2*f + 5*t = -25, -4*t - 20 = -6*f + 8*f. Solve -2*k - 4 = f, -3*u + k = 4*k + i for u. -5 Let d be 9*((-20)/(-45))/(8/6). Solve -4*i - 11 - 9 = 3*v, 4*v = d*i - 10 for v. -4 Let q(p) = p**2 - p - 4. Let f be q(4). Let t(c) = -5*c**3 + c - 1. Let j be t(1). Let w = j + f. Solve -r = -w*y + 1, 5*r - 8 = -0*y + 2*y for r. 2 Let c be (0 - 0)/4 + -2 + 5. Solve -3*t = a + 5, 11 = -3*a - a - c*t for a. -2 Let w(f) = 0*f + 4*f**2 - 5*f + 2 - 3*f**2. Let r = 58 + -53. Let n be w(r). Solve 4*o = 2*d - 12, -n*o = o + 4*d + 31 for o. -5 Let s = -16 - -79. Let f = -48 + s. Solve 3*c = -x + 5*c - f, 3*c = -3*x for x. -5 Suppose 2*b - 6 = 0, 32 = 5*q + 8*b - 4*b. Solve -9 - 7 = 4*a + q*p, 3*a - 5*p + 12 = 0 for a. -4 Suppose 0 = -3*h + 3 - 0. Let q be ((-2)/10*0)/h. Solve -5*w + 2*l - 5 = q, -3*l - 2*l = -25 for w. 1 Let x(o) be the second derivative of o**4/6 - 2*o**3/3 + o**2 - 34*o. Let b be x(2). Solve -n = -2, -5*n = -3*g + b*g - 6 for g. 4 Let u = -576 + 581. Solve 3*g - u*s = -32, 2*g + 8 = -g - s for g. -4 Suppose -71*x + 324 = -53*x. Solve 0 = 2*b - 3*w + x, 0 = -5*b - 3*w + 2 - 5 for b. -3 Let l = 100 + -95. Suppose -5*y - 9 = -4*d, -2*y = -l*d - 0 + 7. Let u = -1 + 3. Solve u*i - 5*f = -d - 26, 4*f - 20 = 0 for i. -1 Suppose -4*n = -5*n - 67. Let s = -56 - n. Solve -4*w + 3*f - 4*f = -s, -w + 6 = -3*f for w. 3 Let d(y) = -y**3 + 5*y**2 + 5*y + 6. Let x be d(6). Suppose -18 = -3*h + 72. Solve x = -a + g, -6*a = -a + 5*g - h for a. 3 Let w(y) = -4*y - 28. Let o be 4/26 + (-480)/78 + -1. Let l be w(o). Solve -2*v + 3*v - 2*q + 1 = l, q + 10 = -3*v for v. -3 Suppose -2484*n - 42 = -2498*n. Solve -n*g + v + 18 = 0, 0 = 5*g + 3*v + v - 13 for g. 5 Let i = 20 + 0. Suppose -i = q - 25. Solve q*r - 23 = x, -4*x - 5*r = -8*x - 17 for x. 2 Let b(u) be the second derivative of u**4/6 - 7*u**3/6 + 11*u**2/2 + 3*u. Let r be b(5). Let p = -25 + r. Solve 4*f = 5*w + p, -3*w + f + f + 1 = 0 for w. 3 Let x = 3235 - 3235. Solve -10 + 13 = m, -4*j - 3*m - 7 = x for j. -4 Let h(d) = -d**3 - 4*d**2 + 21*d + 2. Let w be h(-7). Let l(g) = -g**3 + 6*g**2 - 5*g + 5. Let u be l(5). Solve -15 = -3*o - u*p, w*p - 14 = -4*o + 6 for o. 5 Let t be 40/10 + 2 + 2 + -3. Solve h - 8*n + 3*n = 17, -t*h + 4*n + 1 = 0 for h. -3 Let x be 0*(3 - 8/4). Suppose 3*g + 9*d - 4*d = 16, g - 4*d - 28 = x. Solve -4*j - g = -4*n, 2*j - 3*n = -0*j - 6 for j. -3 Suppose 6 = 36*r - 66. Solve 11*c - 14*c - r*b = 0, 4*c = 4*b - 20 for c. -2 Let s(d) = -d**3 - 23*d**2 - 41*d + 31. Let p be s(-21). Solve p = 2*x + w, 7*x - 3*x - 4*w = 20 for x. 5 Suppose 2*l = k + 5, -7*l - 45 = -12*l - 4*k. Solve -6*s + l*s + 26 = -5*y, -1 = -s for y. -5 Let k(p) = p**2 - 4*p - 7. Let x be k(-2). Solve 0*g = x*t + 2*g + 5, -3*t - 3 = 4*g for t. -1 Suppose 12*l + 813 = 873. Solve l*x - 25 = -5*z, -11*x + 15*x + 20 = 4*z for x. 0 Let m(q) = -q**3 - 5*q**2 + 7*q. Let k be m(-5). Let g = k - -38. Solve 2*f + 33 = -g*f - 2*i, i = 4*f + 16 for f. -5 Suppose 4*c = 539 - 47. Let y = -121 + c. Solve -3*s - j = 11, 4*s - 2*j - 12 = y*j for s. -2 Let w(o) = -23*o - 29. Let l be w(-2). Solve l = y + 3*z + 3, 3*y - 17 = -4*z for y. -1 Suppose 2*o + 3*u = -0*o - 36, -4*o = 5*u + 74. Let y be (o/9 - -2)/((-3)/45). Solve -3*r + 21 = -3*s, -y*s - 26 - 5 = -3*r for r. 2 Suppose -12*l + 10*l = -36. Solve -o + 5*r - l = 0, 0 = -3*o + 2*o - 2*r + 3 for o. -3 Let w be (60/36)/(50/120). Solve 0 = -r - w*a - 7, r + 5*a = -r - 8 for r. 1 Suppose 0 = i + 3*s - 18 - 3, s = 5. Suppose 0 = -i*t + 14 - 2. Solve -2*k = -d - 8, -t*k - 3*k + 13 = d for k. 3 Let k be (-1 - -35) + 4 - 0/3. Let g = -33 + k. Solve 5*p = -3*i - g, -2*i - p = -3*i - 7 for i. -5 Let v be (-21 + 3)*(-15)/45. Suppose -2*l + m + 7 = 0, -3*l + 6*l + 6 = -4*m. Solve 0*r = p + l*r - v, -10 = 3*p - r for p. -2 Let d(f) = -2*f**2 - 6*f - 27. Let y be d(-5). Let s = -41 - y. Solve -s*u + 2*w = -3*u - 3, -2*w - 11 = 5*u for u. -1 Let h(g) be the first derivative of g**2 + 3*g + 2. Let p be h(-6). Let l be 2/1 - (-12 - p). Solve l*z = v + 25, 3*z - 2*v - 27 = v for z. 4 Let m = -28 + 32. Suppose i = 4, -m*i + 19 = -2*x + 3*x. Solve -2*t = x*c + 16, -17 = -3*c - c + 5*t for c. -2 Suppose -4*z - 3*z + 21 = 0. Let l be 3/(z - (-3 + 5)). Solve 17 = 4*b - l*p, -2*p = b - 3*p - 5 for b. 2 Suppose 0 = -64*s + 60*s + 8. Let u be (-4 + 2 + s)/((-8)/4). Solve 5*z - 2*o = -u*o + 15, -3*z + 3*o + 18 = 0 for z. 1 Let b(k) = -k**3 - 2*k**2 - 4. Let w be b(-2). Let r be 81/4 - (-1 - w)/12. Solve -5*u = g + 16, g + r = -3*u + 3*g for u. -4 Let z(y) = -y**3 - 6*y**2 + 8*y + 14. Let u be z(-7). Suppose -4*w = -u*w + 27. Solve 4*n = 5*j + w, j = -j - 2 for n. 1 Let g be (15/(-5) - 0) + 6. Solve -4*m = -2*h + 2, -g*h - h + 2*m = -10 for h. 3 Suppose 8*p + 48 = 11*p. Solve -5*x = 2*s + p, -x - 2*x = -2*s for x. -2 Let w = 485 - 485. Solve w = -h + 2*v - 9, -v + 21 = -h + 4*v for h. -1 Let d be ((-44)/(-55))/((-1)/(-10)). Suppose 5*j + 18 = d*j. Let k = 43 - 41. Solve -4*l - j*o - 22 = -4*o, 3*o = k*l - 9 for l. -3 Let m be 10*(-5 + 3 - -3). Let l(r) = r**3 + 4*r**2 - 2*r - 4. Let o be l(-4). Solve 0*t + o*t - 25 = 3*w, -t = -2*w - m for t. 4 Suppose j = 2*t - 4*j + 12, 0 = -4*t + 5*j - 4. Let n = 195 - 195. Solve -4*h
{ "pile_set_name": "DM Mathematics" }
second derivative of -229*b**4/6 - 198*b - 1. Let y(k) = 3*k. What is d(y(c))? -4122*c**2 Let m(c) = 37*c**2 + 6*c. Let j(g) = 2*g**2 + 7*g + 42. Let h(y) = y + 6. Let v(n) = 14*h(n) - 2*j(n). Give m(v(p)). 592*p**4 - 24*p**2 Let u(q) = 29420*q + 1. Let t(z) = z. What is u(t(v))? 29420*v + 1 Let t(s) = -11*s - 25. Let b be t(-3). Let o(l) = -b*l**2 - 112 + 0*l**2 + 112. Let x(y) = 5 - 5 + y**2. Give o(x(g)). -8*g**4 Let z(s) = -48*s. Let o(u) be the first derivative of -3*u**2/2 + 164. Let c(a) = -15*o(a) + z(a). Let i(t) = -15*t**2 + 2. Calculate i(c(n)). -135*n**2 + 2 Let y(j) = 44*j**2 + 2*j - 168. Let h(g) = 1483*g. What is y(h(m))? 96768716*m**2 + 2966*m - 168 Let y(x) = -9*x**2 + 51*x**2 - 41*x**2 + 0*x + 37 + 0*x. Let o(n) = -22*n**2. What is y(o(c))? 484*c**4 + 37 Let n(i) = i**2. Let y(l) = 68*l + 5520. What is y(n(q))? 68*q**2 + 5520 Let q(x) be the third derivative of -x**4/24 + x**3/3 + 20*x**2. Let h be q(-4). Let y(j) = j + h*j + 2*j. Let z(i) = -i. Give z(y(k)). -9*k Let c(v) = 4*v + 1. Let n(f) = 2. Let j(i) = 7*i + 7. Let k(m) = -j(m) + 3*n(m). Let x(g) = 5*c(g) + 6*k(g). Let a(b) = -3*b. Give a(x(p)). 66*p + 3 Let k(t) = -58*t. Let j(h) = -6519081*h**2. Determine k(j(d)). 378106698*d**2 Let o(a) = -434*a - 27. Let g(u) = -95*u**2 + 2*u. What is o(g(f))? 41230*f**2 - 868*f - 27 Let j(n) be the first derivative of 11*n**2/2 - 4*n - 8600. Let a(h) = 5*h. What is j(a(r))? 55*r - 4 Let p(s) = s. Let g(x) = -58499497*x. Give p(g(r)). -58499497*r Let x(g) be the first derivative of -8*g**2 - 4. Let c(n) be the third derivative of n**4/8 - 20719*n**2. Give x(c(t)). -48*t Let t(x) be the second derivative of x**3/3 + 288*x. Let c(f) = 871*f + 2. Calculate c(t(g)). 1742*g + 2 Let w(z) = 88026*z + 4 - 4 - 91002*z. Let s(a) = 2*a**2. Calculate s(w(g)). 17713152*g**2 Let x(k) = -4*k - 32. Let q(m) = m - 8. Let j(u) = 4*q(u) - x(u). Let h(v) = -3*v - 56. Calculate j(h(n)). -24*n - 448 Let y(i) = -4*i**2. Let w(b) = 47*b + 20. Let h(k) = -62*k - 21. Let c(d) = -4*h(d) - 5*w(d). What is y(c(g))? -676*g**2 + 1664*g - 1024 Let j(o) = 7*o + 2. Let m(y) be the first derivative of -9*y**2/2 + 39. Let s(u) = -22*u. Let q(w) = 12*m(w) - 5*s(w). Calculate j(q(d)). 14*d + 2 Let s(k) be the first derivative of -7*k**4/24 + 39*k**2 + 76. Let j(n) be the second derivative of s(n). Let a(l) = -7*l**2. Give a(j(d)). -343*d**2 Let r(x) = -x. Let m(s) be the third derivative of 649*s**4/6 - 1891*s**2. Calculate m(r(i)). -2596*i Let m(o) = o**2. Let t(b) = 18*b**2 - 593592*b - 2. Calculate t(m(k)). 18*k**4 - 593592*k**2 - 2 Let h(o) = 3 - o + 6*o - 1. Suppose -125*d = -69*d - 504. Let l(q) = -20*q - 9. Let p(z) = d*h(z) + 2*l(z). Let s(r) = -3*r. Give p(s(x)). -15*x Let y(v) = 4*v - 10. Let q(a) be the second derivative of 0 - 1/12*a**4 + 0*a**2 + 0*a**3 + 88*a. Determine y(q(c)). -4*c**2 - 10 Let u(j) be the third derivative of -j**5/60 + 49*j**4/24 - 641*j**2. Let a(n) = 64*n. What is u(a(d))? -4096*d**2 + 3136*d Let j(c) = 2*c. Let i(n) be the first derivative of 1/8*n**4 - 26 + 6*n**2 + 5/3*n**3 + 0*n. Let p(q) be the second derivative of i(q). Calculate j(p(h)). 6*h + 20 Let c(h) be the first derivative of 2*h**3/3 - 1. Let w(x) be the second derivative of -35*x**4/12 - 4*x + 700. Determine c(w(y)). 2450*y**4 Let r(v) be the second derivative of -v**3/3 + 185*v. Let l(b) = -205*b - 2. What is r(l(d))? 410*d + 4 Let t(j) = -8*j + 12. Let a(s) = 6*s - 8. Let n(z) = -3*a(z) - 2*t(z). Let r(i) = 19835*i**2. Determine n(r(g)). -39670*g**2 Let z(m) = 2*m + 700. Let h(r) = 70. Let l(p) = -10*h(p) + z(p). Let b(s) = -4795*s. Calculate l(b(y)). -9590*y Let c(h) = h. Let m(s) = -26443*s + 26983*s + 2 - 2. Give m(c(f)). 540*f Let k(o) = -8163167*o**2. Let c(u) = 2*u**2. Calculate c(k(q)). 133274590939778*q**4 Let o(t) = -1819037*t. Let m(h) = 118*h. Calculate m(o(v)). -214646366*v Suppose q = 1, -3*q = 5*j - j - 19. Let d(a) = -7 + 3 + 2*a - j*a + a - 7. Let h(l) = -l. Determine d(h(m)). m - 11 Let c(k) = 9*k**2 - 15*k. Let d(u) = 2*u**2 - 3*u. Let g(n) = -c(n) + 5*d(n). Let h(o) = -16*o**2 - 6*o. Give h(g(v)). -16*v**4 - 6*v**2 Suppose 10*g - 39 = -3*g. Let z(q) = -8*q + g*q + 183 - 183. Let s(c) = 9*c**2 + 7. Let d(n) = 6*n**2 + 5. Let k(a) = 7*d(a) - 5*s(a). Determine z(k(j)). 15*j**2 Let k(i) = -2*i. Let o(q) = -3083555*q + 2. What is k(o(c))? 6167110*c - 4 Let t(g) = -18902*g. Let y(f) = -15*f - 17. What is t(y(r))? 283530*r + 321334 Let v(j) = -j - 149. Let y(x) = -35*x + 33*x - 30 + 62 - 32. Calculate y(v(m)). 2*m + 298 Let p(l) = l**3 - 4*l**2 + 3*l + 1. Let n be p(4). Let b be 864/240*(-25)/(-15). Let a(o) = -3*o + n*o - b*o - 7*o. Let w(i) = -13*i. Give a(w(k)). 39*k Let f(x) = 10*x**2 + 2*x + 30. Let c(l) = 9*l**2 + 3*l + 45. Let b(v) = -2*c(v) + 3*f(v). Let n(k) = -k - 16. What is b(n(i))? 12*i**2 + 384*i + 3072 Let d(w) = 18*w**2. Let v(q) = -28258*q - 1. Calculate v(d(a)). -508644*a**2 - 1 Let j(q) = -q + 3. Let x(w) be the third derivative of -w**5/20 + 2*w**2 - 1121. Determine j(x(k)). 3*k**2 + 3 Let c(j) = -8*j**2 - 8957 + 8957. Let o(h) = 2*h - 578. Give c(o(x)). -32*x**2 + 18496*x - 2672672 Let g(j) be the first derivative of -j**4/4 + 128*j + 240. Let d(a) be the first derivative of g(a). Let u(z) = 136*z. Calculate d(u(q)). -55488*q**2 Let l(y) = -13*y. Let t(k) = -k - 9 - 37 + 6*k + k. Let x be t(7). Let p(b) = 3*b + 7. Let d(i) = -i - 2. Let f(j) = x*p(j) - 14*d(j). Determine l(f(w)). -26*w Let r(q) = -6*q - 2. Let c(o) be the first derivative of 0*o + 0*o**2 + 97 + 1/3*o**3. Determine r(c(x)). -6*x**2 - 2 Let k(o) be the second derivative of 0*o**3 + 0*o**2 + 229*o + 0 - 31/12*o**4. Let i(f) = 4*f. What is k(i(j))? -496*j**2 Let f(l) = -l. Let m(a) = 11*a**2 - 8*a + 1. Let x be m(4). Let r(s) = 138*s**2 + x*s**2 - 287*s**2. Calculate f(r(z)). 4*z**2 Let w(g) = -12*g**2 - 41161*g. Let b(a) = a**2. Give w(b(h)). -12*h**4 - 41161*h**2 Let s(d) = -20*d. Let g(r) = 26*r - 76. Let m be g(3). Let p(q) = -21*q**2 + 23*q**2 + 5*q**m + 7*q**2. Calculate s(p(k)). -280*k**2 Let v(m) be the third derivative of -m**7/5040 - m**5/2 + 2*m**2 + 15. Let d(s) be the third derivative of v(s). Let c(f) = 39*f**2 + f. What is c(d(o))? 39*o**2 - o Let q(l) = -13*l + 1 - 1 - 43*l. Let k(i) = 1064 + 1104 - 2168 + 2*i. What is k(q(h))? -112*h Let c(f) = -73*f**2 + 9340*f. Let o(j) = 118*j. Give c(o(k)). -1016452*k**2 + 1102120*k Let f(j) be the third derivative of 35*j**2 + 0 + 0*j - 1/24*j**4 + 0*j**3. Let c(w) = -8*w. Determine f(c(o)). 8*o Let h(u) = 259*u**2 + 66. Let p(m) = 10*m - 2. Calculate h(p(x)). 25900*x**2 - 10360*x + 1102 Let h(m) be the second derivative of 13*m**4/12 + 254*m. Let i(k) = -68*k**2. What is h(i(o))? 60112*o**4 Let n(o) = -5397*o + 7924*o - 5084*o. Let d(u) = -2*u**2. Calculate n(d(y)). 5114*y**2 Let i be (9/(-6))/((-9)/12). Let s(d) = -16*d - 3*d - 11*d - i*d. Let f(c) = 5*c**2. Calculate s(f(x)). -160*x**2 Let t(r) = 651801*r. Let z(g) = -g. Give t(z(q)). -651801*q Suppose -23*f - 65*f = 0. Let d(b) be the third derivative of 0*b**4 + 1/12*b**5 + 0 - b**2 + f*b + 0*b**3. Let u(j) = -j**2. Determine d(u(i)). 5*i**4 Let x(a) = -9*a**2 - 5*a**2 + 3*a**2 + 5*a**2. Suppose -5*b + 212 = 187. Let j(u) = b*u - 3*u**2 - 5*u - u**2. Give j(x(d)). -144*d**4 Let b(s) = 2523*s + 15. Let a(c) = -2974*c. What is b(a(t))? -7503402*t + 15 Let k(j) = 21*j - 1. Let y(a) = -32955*a**2 + 65891*a**2 - 32942*a**2. What is y(k(u))? -2646*u**2 + 252*u - 6 Let j(u) = -4365*u**2. Let n(h) be the third derivative of -h**4/24 - 3634*h**2. What is j(n(q))? -4365*q**2 Let r = 176 + -174. Let g(d) = -11*d**r - 21*d**2 + 11*d**2. Let a(l) = 8*l. Give a(g(j)). -168*j**2 Let r(g) = -189*g + 1. Let a be r(-5). Let o(j) = 946 + 2*j - a. Let c(s) = 2*s - 1. Calculate c(o(v)). 4*v - 1 Let n(d) = 253*d**2 + 252*d**2 - 751*d**2 + 251*d**2. Let s(g) = -2*g**2 - 1. What is s(n(k))? -50*k**4 - 1 Let h(s) = -s. Let t = -867 - -875. Let o(n) = -32*n + 19*n + 9*n + t*n. What is o(h(m))? -4*m Let l(t) = -6*t**2. Let m(s) = 223745668*s**2. Calculate m(l(c)). 8054844048*c**4 Let z(q) = -18*q**2. Let m(f) = 2*f + 160167. Determine m(z(o)). -36*o**2 + 160167 Let s(o) = -10*o - 2. Let j(u) = -u**2 + 15*u + 3. Let b(r) = 2*j(r) + 3*s(r). Let q(l) = -45*l - 5. Calculate q(b(w)). 90*w**
{ "pile_set_name": "DM Mathematics" }
asing order. -2, 0.4, 5, 43 Sort -4, -22, -0.05, 4 in decreasing order. 4, -0.05, -4, -22 Put 20, 0, -1, 5, 2 in ascending order. -1, 0, 2, 5, 20 Sort 0, 472, 2, 3 in decreasing order. 472, 3, 2, 0 Put 3/8, 38, 0.5, 2/7 in descending order. 38, 0.5, 3/8, 2/7 Put 11, -0.5, 10, 3 in increasing order. -0.5, 3, 10, 11 Sort 0.7, 0.4, -39/8 in descending order. 0.7, 0.4, -39/8 Sort 3, -0.2, 4.3, 1 in descending order. 4.3, 3, 1, -0.2 Sort -2, 78, 2, -5. -5, -2, 2, 78 Sort 5, -2, 2, 153 in decreasing order. 153, 5, 2, -2 Put -4, -2, 0, 9 in ascending order. -4, -2, 0, 9 Sort 2/9, 0.4, 17 in increasing order. 2/9, 0.4, 17 Sort 3.3, -2, 2/9, -22, -2/17 in descending order. 3.3, 2/9, -2/17, -2, -22 Put -19, 1, -1, -0.3 in ascending order. -19, -1, -0.3, 1 Sort -26, 5, 1, 0 in descending order. 5, 1, 0, -26 Put -8, 3, 6/5 in descending order. 3, 6/5, -8 Put -0.2, 1/15, -3, 1/4 in decreasing order. 1/4, 1/15, -0.2, -3 Put -22, 5, 24, 1, -3 in decreasing order. 24, 5, 1, -3, -22 Sort -5, -3, -4, 18 in decreasing order. 18, -3, -4, -5 Sort -0.5, 0.3, -3/5, 5/7 in descending order. 5/7, 0.3, -0.5, -3/5 Sort -5, 12, 4, 2 in increasing order. -5, 2, 4, 12 Put -1, -860, 1, 3 in decreasing order. 3, 1, -1, -860 Sort 4, -124, 0.4, -1 in descending order. 4, 0.4, -1, -124 Sort 1/9, 0.8, -4/7, 4 in descending order. 4, 0.8, 1/9, -4/7 Put 11, 0.6, 1/11 in decreasing order. 11, 0.6, 1/11 Sort -181, -4, 48 in ascending order. -181, -4, 48 Put 0.02, -11, 0.3 in descending order. 0.3, 0.02, -11 Sort -1/10, -2/5, -2. -2, -2/5, -1/10 Put -39, -1, -6 in decreasing order. -1, -6, -39 Sort -1, -217, -3 in ascending order. -217, -3, -1 Sort -16, -1/7, -2, 1/4. -16, -2, -1/7, 1/4 Sort -1/3, 0, 41 in increasing order. -1/3, 0, 41 Sort -27, 3, 0, -2. -27, -2, 0, 3 Sort -2, 2, -13, 0, -18 in ascending order. -18, -13, -2, 0, 2 Put 6, -29, 3 in decreasing order. 6, 3, -29 Sort -4.2, 0, -1 in decreasing order. 0, -1, -4.2 Put 9, -2, 1 in ascending order. -2, 1, 9 Put 27, -1, 3, -6 in ascending order. -6, -1, 3, 27 Put 1, 1/2, 11/5, 2/23 in ascending order. 2/23, 1/2, 1, 11/5 Put -1/5, -4, -15, 0.01 in descending order. 0.01, -1/5, -4, -15 Put 0.07, -2/5, 3, 2/3, 0.09 in decreasing order. 3, 2/3, 0.09, 0.07, -2/5 Sort 94, -7, -5, -1, 5 in decreasing order. 94, 5, -1, -5, -7 Put 3, 2, -5, 7/4 in descending order. 3, 2, 7/4, -5 Sort 5, 3, -5, -2/37. -5, -2/37, 3, 5 Put -4, -0.4, 2/253 in descending order. 2/253, -0.4, -4 Sort 5/4, 3/2, 0.2, -8. -8, 0.2, 5/4, 3/2 Sort 196, -2, -10 in descending order. 196, -2, -10 Put -1.1, 1/10, -5, -1/6 in ascending order. -5, -1.1, -1/6, 1/10 Sort 4, 5, -19, -83 in decreasing order. 5, 4, -19, -83 Sort -1, -2, 2, 75, -4 in decreasing order. 75, 2, -1, -2, -4 Put -10, -2/109, -2 in increasing order. -10, -2, -2/109 Sort -30, 0.8, -3/2, -1/2, -1. -30, -3/2, -1, -1/2, 0.8 Sort -0.4, -5, -0.01, -39, 1 in decreasing order. 1, -0.01, -0.4, -5, -39 Put -0.3, 5/3, 3/16, -0.2, -0.8 in decreasing order. 5/3, 3/16, -0.2, -0.3, -0.8 Sort 0.8, 0.2, -6 in ascending order. -6, 0.2, 0.8 Sort 0.2, 1/2, -474/11 in increasing order. -474/11, 0.2, 1/2 Put 21, 20, 3 in ascending order. 3, 20, 21 Sort 0, 3, -5, 134. -5, 0, 3, 134 Sort -0.5, 3, 2/7 in ascending order. -0.5, 2/7, 3 Put 1, -4, -5, 9 in descending order. 9, 1, -4, -5 Put -2/23, 3, 4, 1 in decreasing order. 4, 3, 1, -2/23 Put 0, -4, 2, -3 in ascending order. -4, -3, 0, 2 Sort 1, 5, -208, -4 in ascending order. -208, -4, 1, 5 Sort -5, 5, -94, -3 in descending order. 5, -3, -5, -94 Sort -1, 3, -5, -188 in descending order. 3, -1, -5, -188 Put -5/8, 1, -1 in increasing order. -1, -5/8, 1 Sort -2/5, -5, 2/5, -0.075. -5, -2/5, -0.075, 2/5 Sort -3/4, -984, 2, 1/3 in increasing order. -984, -3/4, 1/3, 2 Put -2, 3, 2, 17 in descending order. 17, 3, 2, -2 Sort -683, 4, 0, 1 in increasing order. -683, 0, 1, 4 Put 0.08, 0.1, -0.06 in increasing order. -0.06, 0.08, 0.1 Sort 0.1, -1/5, -3/4, 0 in increasing order. -3/4, -1/5, 0, 0.1 Sort 0, -1/7, 0.2, -2 in descending order. 0.2, 0, -1/7, -2 Sort -2/9, 5, -0.1 in ascending order. -2/9, -0.1, 5 Put 69, 3, 1/4, -2/33 in descending order. 69, 3, 1/4, -2/33 Put -0.3, 2/3, 66 in decreasing order. 66, 2/3, -0.3 Put 51, -12, 1 in descending order. 51, 1, -12 Sort -1, 5, -13 in descending order. 5, -1, -13 Put -21, 2, -14, 0 in decreasing order. 2, 0, -14, -21 Put 0, -5, 5, 7341 in descending order. 7341, 5, 0, -5 Sort -514, 0, 4, -5, 5 in increasing order. -514, -5, 0, 4, 5 Sort -3/8, 15.3, -3/2 in decreasing order. 15.3, -3/8, -3/2 Sort -0.1, 1/10, -1/4 in decreasing order. 1/10, -0.1, -1/4 Sort 83, 5, 34. 5, 34, 83 Sort -0.4, -0.3, 1/9, 18, 3 in descending order. 18, 3, 1/9, -0.3, -0.4 Put 4, -0.023, -1, 1 in increasing order. -1, -0.023, 1, 4 Sort 0.1, 11, -2 in increasing order. -2, 0.1, 11 Put -13, 12, 5, 1 in increasing order. -13, 1, 5, 12 Sort -0.5, -6, 1, -9 in ascending order. -9, -6, -0.5, 1 Put 0, -1, -29 in descending order. 0, -1, -29 Put -2, 3434, -5 in decreasing order. 3434, -2, -5 Put 0.4, 8, -5, 4, -3 in ascending order. -5, -3, 0.4, 4, 8 Put 1.6, 4/3, 1 in increasing order. 1, 4/3, 1.6 Put -1, -5, -9, 6, 2 in increasing order. -9, -5, -1, 2, 6 Sort 4, 8, -1, 9, -3. -3, -1, 4, 8, 9 Put 10, 3, -1/3, -0.1 in decreasing order. 10, 3, -0.1, -1/3 Put -1/4, 7/2, 15 in descending order. 15, 7/2, -1/4 Sort 3, -28, -5, 4. -28, -5, 3, 4 Put 5, 27, 4, -5 in descending order. 27, 5, 4, -5 Sort -5, 5, 2, -8. -8, -5, 2, 5 Sort -3, 4, 3/5, -0.081 in ascending order. -3, -0.081, 3/5, 4 Put 1, -46, -30, 3 in increasing order. -46, -30, 1, 3 Put -0.4, 0, 0.026 in decreasing order. 0.026, 0, -0.4 Put -15, -3, -154 in ascending order. -154, -15, -3 Put 4, 28, 2/15, -1/3 in decreasing order. 28, 4, 2/15, -1/3 Sort 144, 8, 4 in ascending order. 4, 8, 144 Sort 2, -1, 5, 104, -0.5 in increasing order. -1, -0.5, 2, 5, 104 Sort 21, -2, -4, 5 in descending order. 21, 5, -2, -4 Sort 2, -7, -5 in decreasing order. 2, -5, -7 Sort -5, 17, -4/7, -2. -5, -2, -4/7, 17 Sort 1, -4, 48, -2 in decreasing order. 48, 1, -2, -4 Sort -24, -3/5, 1, 3 in decreasing order. 3, 1, -3/5, -24 Sort 3, -5, -47, 1. -47, -5, 1, 3 Sort -5, -8, 4, 7 in decreasing order. 7, 4, -5, -8 Put -3, -15, 0, -2 in descending order. 0, -2, -3, -15 Sort 14, 0, -3, -4 in decreasing order. 14, 0, -3, -4 Put -4, -0.4, -11, 13 in decreasing order. 13, -0.4, -4, -11 Put 0.07, 0.5, 1.9, 1 in decreasing order. 1.9, 1, 0.5, 0.07 Sort -12, -5, 0 in descending order. 0, -5, -12 Sort 1/4, -1, 13, 1/2 in descending order. 13, 1/2, 1/4, -1 Sort 4, -2, 104 in increasing order. -2, 4, 104 Sort -1.2, 3, 2, -2/49 in descending order. 3, 2, -2/49, -1.2 Sort 0.15, -2/3, -8, -1/2, 1 in increasing order. -8, -2/3, -1/2, 0.15, 1 Sort -71, 0, -24 in decreasing order. 0, -24, -71 Put -8, 2/9, -0.2 in descending order. 2/9, -0.2, -8 Sort 11, -5, -4 in descending order. 11, -4, -5 Sort -43, -2, 10, -3 in ascending order. -43, -3, -2, 10 Sort 4, -26, 1/32, 0.4. -26, 1/32, 0.4, 4 Sort 4, -1, 2, -37 in descending order. 4, 2, -1, -37 Sort 2, 20, -7. -7, 2, 20 Sort -0.4, -3/7, 1, 2/49. -3/7, -0.4, 2/49, 1 Put -3, 2, -6, -21 in increasing order. -21, -6, -3, 2 Sort 5, -8, -1, 1, 2. -8, -1, 1, 2, 5 Put -0.1, -21, -0.5, 2/3, 3 in increasing order. -21, -0.5, -0.1, 2/3, 3 Sort -2, -5, 18, 2 in increasing order. -5, -2, 2, 18 Sort 2/1733, -0.3, 0, 1 in descending order. 1, 2/1733, 0, -0.3 Put 1, 5, 13, 0, 4 in decreasing order. 13, 5, 4, 1, 0 Sort 0.3, 28/11, 2 in descending order. 28/11, 2, 0.3 Put -6, 0, 7 in decreasing order. 7, 0, -6 Put -0.5, 5/6, 4, -4.6 in decreasing order. 4, 5/6, -0.5, -4.6 Sort -40, 4, 7, 2 in descending order. 7, 4, 2, -40 Put 0.4, -1, 4, -0.6, -105 in descending order. 4, 0.4, -0.6, -1, -105 Put 4, -0.2, -0.7, -1.73 in decreasing order. 4, -0.2, -0.7, -1.73 Put 611, 5, -1 in ascending order. -1, 5, 611 Sort 1, 2, -3/4, 1/15, 1.3 in decreasing order. 2, 1.3, 1, 1/15, -3/4 Sort 1, 3, 0.347, 2/13 in increasing order. 2/13, 0.347, 1, 3 Sort -10, -104, -4, 5 in increasing order. -104, -10, -4, 5 Sort 0.5, -1/8, -2, -1, 3/10 in ascending order. -2, -1, -1/8, 3/10, 0.5 Sort -1/8, -1366, 1/6 in increasing order. -1366, -1/8, 1/6 Put 0.5, 1/83, 3, 1/4 in descending order. 3, 0.5, 1/4, 1/83 Sort -90, -2, 3, -3 in descending order. 3, -2
{ "pile_set_name": "DM Mathematics" }
y. Let q(a) = 8*d(a) - 3*z(a). Find the second derivative of q(n) wrt n. -8 Let d(o) be the second derivative of -o**5/15 + o**4/8 - 7*o**3/6 - 3*o. Let k(m) be the second derivative of d(m). Differentiate k(s) with respect to s. -8 Let d(j) be the first derivative of 3*j**4/2 + 2*j**3/3 + 2. What is the third derivative of d(u) wrt u? 36 Let t(h) = h**2 + 4*h - 2. Let a be t(-6). Find the third derivative of 3*j**3 - a*j**2 - 3*j**3 - 6*j**6 + 9*j**6 wrt j. 360*j**3 Find the third derivative of 6*a**2 - 20*a**6 + a**2 + 11*a**2 - 2*a**6 wrt a. -2640*a**3 Let h(d) be the third derivative of d**5/24 + 5*d**4/24 - 7*d**3/6 + 3*d**2. Let n(l) be the first derivative of h(l). What is the derivative of n(q) wrt q? 5 Let h(w) be the second derivative of 1/12*w**4 + 0 + 5*w + 0*w**2 + 5/6*w**3. What is the second derivative of h(i) wrt i? 2 Let j(n) = -n**4 - n**3 + n. Let f(q) = -3*q**4 - 4*q**3. Let u = 1 - 2. Let r(w) = u*f(w) + 4*j(w). What is the second derivative of r(g) wrt g? -12*g**2 Suppose 2*p = 4*p + 4*s - 26, -5*s = 5*p - 40. Find the first derivative of 8*y + 1 - 4*y - p*y - 4*y wrt y. -3 Suppose -4*w = c - 2, 5*c + 0*c = 5*w + 10. Let s(n) be the first derivative of 0*n + 2 + 1/2*n**c - 2/3*n**3. What is the second derivative of s(h) wrt h? -4 Let z(c) be the third derivative of -19*c**7/210 + 7*c**5/60 - 18*c**2. What is the third derivative of z(n) wrt n? -456*n Find the third derivative of -9*p**6 + 19 + 20 - 39 - 11*p**2 wrt p. -1080*p**3 Let a = -7 + 10. Find the third derivative of 12*k**2 - 2*k**3 - 3*k**a + 0*k**3 - 14*k**2 wrt k. -30 Let n(o) be the second derivative of -7*o**4/12 - 7*o**2/2 + 2*o. Differentiate n(x) wrt x. -14*x Let t(p) be the third derivative of -5*p**4/12 - 4*p**3/3 + 9*p**2. What is the derivative of t(m) wrt m? -10 Let x = -3 + 7. Differentiate m + 1 - 3 + x wrt m. 1 Let d be (-1)/(-5) - 38/(-10). Suppose d*s - s - 12 = 0. What is the second derivative of v**4 + 2*v - 2*v**4 + 3*v**s wrt v? 24*v**2 Let d(h) = -h - 3. Let c be d(-6). Find the second derivative of -5*z + c*z - 5*z - 2*z**3 + 5*z wrt z. -12*z Let j be 3 + 2/(-2) + -1. What is the first derivative of 2*k**2 + j + 3*k**2 + 5 wrt k? 10*k Let s(z) = -z**3 + 6*z**2 + 8*z - 5. Let d be s(7). What is the first derivative of -2*t**d - 3 + 4 - 3 wrt t? -4*t Let v(g) = 4*g**2 - g + 1. Let t be v(1). Find the second derivative of 0*o**3 - 2*o - t*o**3 + 3*o wrt o. -24*o Let n(s) be the first derivative of -18*s**5/5 - 6*s - 1. Find the first derivative of n(p) wrt p. -72*p**3 Let c(x) be the third derivative of -7/60*x**5 + 0*x**4 + 0 - 4*x**2 + 7/120*x**6 + 0*x**3 + 0*x. What is the third derivative of c(b) wrt b? 42 Let j(q) be the second derivative of -4*q**6/15 + 7*q**3/2 + 9*q. Find the second derivative of j(o) wrt o. -96*o**2 Let j(a) = -33*a**4 - 7*a**2 + 114*a. Let c(q) = 22*q**4 + 5*q**2 - 76*q. Let d(h) = 7*c(h) + 5*j(h). Find the second derivative of d(l) wrt l. -132*l**2 Let a(h) be the first derivative of 0*h**3 + 0*h**2 - 5*h - 1/2*h**4 - 1. Differentiate a(r) wrt r. -6*r**2 Let y(w) be the second derivative of w**8/112 + w**4/24 + 3*w**2/2 - 3*w. Let h(b) be the first derivative of y(b). Find the second derivative of h(t) wrt t. 60*t**3 Let k(p) = -p**4 - 3*p - 12. Let y(d) = 2*d**4 + 4*d + 13. Let n(u) = -4*k(u) - 3*y(u). Differentiate n(l) with respect to l. -8*l**3 Let r(a) = -5*a**4 + 9*a - 28*a**3 + 6 + 28*a**3. Let g(o) = -9*o**4 + 17*o + 11. Let m(i) = 6*g(i) - 11*r(i). Find the second derivative of m(s) wrt s. 12*s**2 What is the third derivative of -5*b**2 + 0*b**2 + 3*b**5 + 3*b**5 wrt b? 360*b**2 Let l(z) = z**2 - 17*z + 2. Let d be l(17). What is the second derivative of 0*w**4 - w**4 - d*w + w**4 + 2*w**4 wrt w? 24*w**2 Let u(b) = 11*b**6 - 3*b**3 + 12*b**2 + 3*b. Let f(j) = 12*j**6 - 4*j**3 + 13*j**2 + 4*j. Let h(g) = -3*f(g) + 4*u(g). Find the third derivative of h(a) wrt a. 960*a**3 Let j = 0 - -1. Let g be 0 - 2/(-2)*j. Differentiate g + 2 - 5 - 2*d**4 with respect to d. -8*d**3 Suppose -14*v = -12*v - 4. Suppose 5 = 2*t - 3. What is the first derivative of 2*y**v + 4*y + 1 - t*y wrt y? 4*y Let t be 11/(-5) - 1/(-5). Let y(d) = 8*d**3. Let p(w) = 7*w**3 + 1. Let f(a) = t*y(a) + 3*p(a). Differentiate f(j) wrt j. 15*j**2 Let y(w) be the third derivative of w**4/12 + w**3/3 - 6*w**2. What is the derivative of y(f) wrt f? 2 Let j(m) be the first derivative of m**8/420 - m**5/60 + 8*m**3/3 - 4. Let v(b) be the third derivative of j(b). What is the second derivative of v(q) wrt q? 48*q**2 Let k(f) = -15*f**5 - 15*f**3 - 15*f**2 - 33*f. Let c(p) = p**3 + p**2 - p. Let j(h) = -15*c(h) - k(h). What is the second derivative of j(n) wrt n? 300*n**3 Let i = -15 + 21. Find the third derivative of -4*w**6 - 72*w + i*w**2 + 72*w wrt w. -480*w**3 Let f(w) = 2*w**3 - 5*w**2 + 2*w. Let d be f(3). Suppose 10 = 5*b - d. What is the second derivative of -3*q**b + 2*q**5 - 2*q + q wrt q? -20*q**3 Find the second derivative of -20*a**3 + 925*a**2 - 925*a**2 + 23*a wrt a. -120*a Suppose 5*z + 5*b = -35, 0 = b + b + 8. Let y = 0 - z. What is the derivative of 2*r**y + 0 + 1 + 1 wrt r? 6*r**2 Find the second derivative of -a + 10*a - 6*a - 19*a**3 + 15*a wrt a. -114*a Suppose -3*q - 8 = 31. Let k(y) = -31*y**2 - 12. Let t(d) = -15*d**2 - 6. Let w(o) = q*t(o) + 6*k(o). Differentiate w(b) wrt b. 18*b Let q(n) = -2*n. Let l be q(-1). Suppose 5*z - l*z = 6. What is the third derivative of u**z + 2*u**2 - u**6 + 3*u**6 wrt u? 240*u**3 Let b(d) = d - 2. Let s be b(6). What is the derivative of -3 - c**4 + 1 + 2*c**s wrt c? 4*c**3 What is the third derivative of -8*j**6 - 4*j**6 + 4*j**6 - j**2 wrt j? -960*j**3 Let q(u) = 4*u**2 + u. Let a be q(-1). Differentiate 1 + 3 - 5 - j**a with respect to j. -3*j**2 Let d(b) be the third derivative of 0*b - 1/210*b**7 - b**2 + 0 + 1/6*b**3 + 0*b**5 + 0*b**4 + 0*b**6. What is the derivative of d(i) wrt i? -4*i**3 Let a(t) be the second derivative of -1/60*t**5 - 1/6*t**3 + 0 + 0*t**2 + 3*t - 1/24*t**4. Let i(m) be the second derivative of a(m). Differentiate i(w) wrt w. -2 Let m(c) = -c**3 + 6*c**2 + 9*c - 10. Let y be m(7). Find the second derivative of 4*a**2 + 4*a - 4*a**y - 4*a**2 wrt a. -48*a**2 Let g(t) be the first derivative of 0*t**2 + 0*t - 2 + 0*t**4 - 1/3*t**3 + 0*t**6 + 0*t**5 + 1/7*t**7. What is the third derivative of g(k) wrt k? 120*k**3 What is the second derivative of -982*j**3 + 982*j**3 + 2*j - 19*j**4 wrt j? -228*j**2 Suppose -z - 74 = 5*a, -5*a + z = -3*z + 79. Let l = -8 - a. What is the third derivative of 6*n**2 + n**5 - l*n**2 - 3*n**2 wrt n? 60*n**2 Let o(t) = 2*t - 10. Let n be o(7). Let k be (6 - (4 + -2))/2. Find the third derivative of c**2 - c**n - k*c**6 + c**4 wrt c. -240*c**3 Let a be 30/(-7) + 6/21. Let i be -2*(a - -2)/2. What is the third derivative of 3*r**4 - 2*r**i - 5 + 4*r**2 + 5 wrt r? 72*r Let h = -4 - -6. Suppose -g = 5*q - 17, q + q + 2*g = h. Differentiate -4 - 2*c**4 + c**q + 1 - 2*c**4 with respect to c. -12*c**3 Let j(y) be the third derivative of -y**6/60 + 5*y**3/2 + 4*y**2. What is the derivative of j(b) wrt b? -6*b**2 Let l be (0 - -2)/(-1) + -1. Let s(a) = 3. Let b(z) = z - 2. Let k(q) = -q + 1. Let p be k(4). Let d(m) = l*s(m) + p*b(m). Differentiate d(f) with respect to f. -3 Let u(b) be the third derivative of 0 - 1/20*b**5 + 1/2*b**3 + 0*b + 2*b**2 + 0*b**4. What is the derivative of u(r) wrt r? -6*r Let h(r) = 8*r**4 + 0*r**2 + 5*r**2 - r**4 + 2*r. Let u(z) = 29*z**4 + 20*z**2 + 9*z. Let m(s) = -9*h(s) + 2*u(s). What is the third derivative of m(f) wrt f? -120*f Suppose 2*c - 4*f - 31 = -9, f + 1 = -c. Suppose b = 5*d - 12, -c*d + 3*b + 6 = 2*d. Find the second derivative of 0*l - 4*l**3 - 2*l + 0*l + l**d wrt l. -18*l Let f(z) be the first derivative of -8*z**3/3 + z**2 - 2. What is the second derivative of f(p) wrt p? -16 Let o(s) be the second derivative of s**7/21 - 5*s**4/12 + 3*s. What is the third derivative of o(m) wrt m? 120*m**2 Let t(j) be the first derivative of -4 + 0*j**3 + 0*j**2 - 4*j + 0*j**4 + 8/5*j**5. Differentiate t(k) with respect to k. 32*k**3 Suppose -3*l - 2*l + 3*o + 14 = 0, -o = 2*l - 10. Suppose -l*j = -23 - 1. Find the third derivative of 4*s**6 - j*s**2 - 2*s**6 + s**2 + 4*s**2 wrt s. 240*s**3 Let m(z) = 20*z**5 + 6*z
{ "pile_set_name": "DM Mathematics" }
f(q) = q**2 + 7*q**2 + 11*q**2. Let n(r) = -2*r. Calculate f(n(g)). 76*g**2 Let d(q) = -24*q. Let v(t) = -9*t. Give v(d(p)). 216*p Suppose 0 = 4*n - 4, 3*m - 2*n - 7 = -0. Let z(w) = 17 - 17 - m*w + 2*w. Let a(f) = -1. Let j(p) = p + 3. Let u(k) = 3*a(k) + j(k). Give z(u(v)). -v Let c(g) = -g. Let a(y) be the third derivative of -y**6/40 + y**3/6 + 4*y**2. Let k(w) be the first derivative of a(w). Determine c(k(z)). 9*z**2 Let v(x) be the third derivative of -x**5/20 - 21*x**2. Let u(h) = 12*h**2. Determine v(u(f)). -432*f**4 Let b(g) = -3*g**2. Let u(n) = -10*n - 7*n + 15*n. Determine u(b(v)). 6*v**2 Let b(v) = -v. Let j(n) = -4*n**2 - 5*n. Let s(g) = g**2 + g. Let p(x) = j(x) + 5*s(x). Determine b(p(m)). -m**2 Let j(s) = -s - 5*s + 17*s - 2*s. Let n(q) = -q + 1. Let m be n(2). Let u(h) = -1. Let x(y) = y**2 + 2. Let o(w) = m*x(w) - 2*u(w). Give o(j(k)). -81*k**2 Let w(d) = -3*d. Suppose 5*p = -15, -1 = 4*y - p - 12. Let j(k) = -2*k + y*k + 0*k + 2*k. Determine w(j(z)). -6*z Let q(i) = 7*i - 2*i - 6*i. Let t(l) = -l**2 + 29. Calculate t(q(c)). -c**2 + 29 Let g(r) = 48 - 22 + r - 26. Let w(i) = -3*i. What is w(g(b))? -3*b Let g(i) = -4*i**2. Let n(s) be the second derivative of -s**4/24 - 9*s**2/2 - 6*s. Let f(r) be the first derivative of n(r). Calculate f(g(p)). 4*p**2 Let a(l) = -4*l**2. Let m be 1/((-42)/(-132) - 2/(-11)). Let f(c) be the first derivative of 0*c + 0*c**2 - m - 1/3*c**3. Give f(a(d)). -16*d**4 Let p(y) = y. Let n(v) = -1. Let k(z) = -6*z + 12. Suppose 3*r + 25 = -11. Let q(c) = r*n(c) - k(c). Calculate q(p(u)). 6*u Let c(i) = -i**2. Let h(o) = 791*o. Calculate c(h(d)). -625681*d**2 Suppose 3*x = x + 3*m - 24, -3*m = -12. Let i = x + 8. Let j(o) = -o + o**i + o. Let h(y) = -y**2. Determine h(j(g)). -g**4 Let g(b) = 2*b. Let t(q) = -7*q. Let p(f) = -120*f. Let c(y) = -2*p(y) + 35*t(y). Calculate c(g(n)). -10*n Let q(m) = -3*m. Let c(o) = -13*o + 9*o + 4*o + 3*o**2. Calculate q(c(n)). -9*n**2 Let p(a) = -16*a**2 - 6*a. Let d(n) = -2*n. Give d(p(t)). 32*t**2 + 12*t Let a(v) = -4*v**2. Let q(p) = -12*p**2 + 7*p. Determine q(a(o)). -192*o**4 - 28*o**2 Let j(d) = 6*d + 4. Let s(p) be the third derivative of p**4/24 - 3*p**2 - 9. Give j(s(h)). 6*h + 4 Let u(y) = -2*y + 5. Let n(q) = -q + 4. Let j(c) = -5*n(c) + 4*u(c). Let a(r) = -12*r. Determine a(j(b)). 36*b Let t(c) = 2*c. Let g(y) = y. Let j be 4*(-2)/(8/4). Let u(k) = 14*k. Let m(b) = j*g(b) + u(b). Give m(t(p)). 20*p Let t(p) = -2*p. Let j(l) = 152*l**2 + 2*l. Calculate t(j(o)). -304*o**2 - 4*o Let y(w) = w**2. Let p = -70 + 70. Let k(q) be the third derivative of 0*q + 0*q**3 + 1/12*q**4 + 3*q**2 + p. Calculate k(y(c)). 2*c**2 Let t(o) = 3*o. Let r(i) = 5*i - 4. Let k(c) = -c + 1. Let s(x) = 4*k(x) + r(x). What is s(t(y))? 3*y Let f(n) = 2*n. Let v(k) be the first derivative of 3 + 1/2*k**2 + 0*k. What is f(v(b))? 2*b Let x(r) = -25*r + 8*r + 2*r**2 + 17*r. Let d(h) be the second derivative of -2*h**3/3 - 5*h. Calculate x(d(k)). 32*k**2 Let i(o) = -64*o**2. Let r(l) = -l - 2. What is r(i(t))? 64*t**2 - 2 Let v(y) = 2714*y**2. Let n(h) = -3*h**2. What is v(n(o))? 24426*o**4 Suppose -3*f - 5*c + 4 = -4*c, 3*f - 12 = 3*c. Let o(w) = w - w**f - w. Let x(a) = 3*a - 15 + 8 + 7. What is o(x(b))? -9*b**2 Let u(b) = 2*b - 5. Suppose 5*t - 32 = 18. Let h(d) = -d + 3. Let a(x) = t*h(x) + 6*u(x). Let m(r) = 2*r. Give m(a(f)). 4*f Let n(p) = -13*p**2. Let b(z) = -4*z. Let o(v) = -17*v. Let w(s) = 9*b(s) - 2*o(s). Calculate n(w(l)). -52*l**2 Let r(t) = -3*t**2 + 10 - 17 + 7. Let f(n) = n. Calculate r(f(l)). -3*l**2 Let u(m) = -166*m + 9. Let x(q) = -82*q + 4. Let n(g) = -4*u(g) + 9*x(g). Let i(o) = -2*o**2. What is n(i(z))? 148*z**2 Let r(t) be the third derivative of -t**5/15 - 2*t**2. Let h(k) be the second derivative of 0*k**2 + 1/6*k**4 + 0*k**3 + 0 + 3*k. What is r(h(c))? -16*c**4 Let w(n) = -n. Let f(b) = -60*b - 3 + 3 + 36*b. Determine f(w(g)). 24*g Let c(d) = -11*d - 9. Let z(y) = 3*y + 2. Let m(t) = 2*c(t) + 9*z(t). Let j(o) = -3*o. What is j(m(h))? -15*h Let g(i) = 6*i. Let j(q) = -3*q. Let u(w) = 6*g(w) + 11*j(w). Let h(z) = z. Let s(t) = -15*h(t) + 3*u(t). Let a(f) = 3*f**2. What is s(a(b))? -18*b**2 Let d(o) = -112*o - 110*o + 220*o. Let a(i) be the second derivative of -i**4/6 + i. Determine a(d(v)). -8*v**2 Let h(k) = 2*k**2. Let x(c) = 6656*c**2. What is x(h(q))? 26624*q**4 Let d(m) = -18*m**2. Let n(r) = 3*r - 3*r - r - r. What is n(d(k))? 36*k**2 Let i(v) be the second derivative of -v**3/3 + v. Let h(r) = 9*r. Let c(n) = 2*n + n - 4*n + 5*n. Let j(d) = 7*c(d) - 3*h(d). What is i(j(s))? -2*s Let y(q) = 4*q. Let r(j) = -6*j + 10. What is r(y(p))? -24*p + 10 Let g(c) = 390*c**2. Let r(l) = -2*l. What is g(r(u))? 1560*u**2 Let a(n) = 4*n. Let x(h) = -109*h**2 + 2. Give x(a(d)). -1744*d**2 + 2 Let w(y) = -y - 3*y + 2*y. Let o(x) = -8*x**2 - 4. Let m(z) = 9*z**2 + 5. Let q(i) = -4*m(i) - 5*o(i). Calculate q(w(d)). 16*d**2 Let x(o) = -o**2. Let q(i) = -57*i**2 + 2*i - 1. Give q(x(s)). -57*s**4 - 2*s**2 - 1 Let b(d) = -d. Let v(c) = -7*c**2. Let p(t) = -t**2. Let a(m) = 5*p(m) - v(m). What is a(b(f))? 2*f**2 Let s(y) = 6*y + 27*y + y - 8*y. Let k(q) = q. Calculate k(s(i)). 26*i Let z(g) = 295*g**2. Let i(l) = 3*l**2. What is z(i(x))? 2655*x**4 Let v(a) = 26*a**2. Let f(c) = 26*c. Calculate f(v(p)). 676*p**2 Let v(j) = -10*j. Let m(t) = -104*t. Determine m(v(r)). 1040*r Let q(z) = 8*z**2 - 6*z + 6. Let i(p) = 24*p**2 - 17*p + 17. Let h(o) = -6*i(o) + 17*q(o). Let g(v) = 2*v**2. Give h(g(s)). -32*s**4 Let u(q) = 16*q + 14. Let f(s) = 3*s + 3. Let c(x) = 14*f(x) - 3*u(x). Let m(n) = 2*n**2. Give m(c(h)). 72*h**2 Let b(n) = n - 1. Let v(j) = -j**2 + 6*j - 6. Let r(i) = 6*b(i) - v(i). Let s(m) = 17*m. What is r(s(x))? 289*x**2 Let a = 23 + -2. Let s(l) = -a*l + 21*l - l**2. Let r(g) = -g**2. Give s(r(d)). -d**4 Let q(x) be the third derivative of -3*x**2 + 0*x**3 + 0*x + 0*x**4 + 1/30*x**5 + 0. Let c(a) = 2*a. Determine c(q(l)). 4*l**2 Let k(w) = w**2. Let l(m) = -286*m**2. Give l(k(h)). -286*h**4 Let m(f) be the first derivative of -2/3*f**3 + 0*f**2 + 0*f - 4. Let a(t) = 2*t**2. Give m(a(w)). -8*w**4 Let i(y) = -1. Let a(s) = -4*s - 16. Let r(d) = -a(d) + 16*i(d). Let z(g) = -2*g. Determine r(z(u)). -8*u Let x(o) = o + 1. Let s(p) = 21*p + 24. Let d(z) = -3*s(z) + 72*x(z). Let l(h) = -2*h**2. Determine d(l(b)). -18*b**2 Let d(c) = -11*c. Let y(v) = -5*v. Let z(o) = -o. Let t(u) = 2*y(u) - 9*z(u). Determine d(t(f)). 11*f Let i(n) be the first derivative of 0*n + 0*n**2 - 2 - 2/3*n**3. Let k(m) = -3*m. Determine i(k(t)). -18*t**2 Let m(y) be the third derivative of y**5/30 + 4*y**2. Let w(r) = -3*r**2. Determine w(m(f)). -12*f**4 Let g(s) = 3*s - s + 0*s. Let t(r) be the first derivative of r**2 + 3. Determine g(t(l)). 4*l Let h(m) = -3*m - m + 7*m + 0*m. Let o(w) = -3*w**2 + w**2 + w**2. Calculate h(o(v)). -3*v**2 Let c(v) = -2*v**2. Let j(k) = -6282*k. What is c(j(t))? -78927048*t**2 Let r(v) = 11*v - 5. Let y(c) = 5*c. What is r(y(s))? 55*s - 5 Let a(r) = 68*r**2 - 10*r. Let v(c) = 3*c. Give a(v(z)). 612*z**2 - 30*z Let s(x) = x**3 + 6*x**2 + 2. Let w be s(-6). Let i(f) = 2 - w + 2*f. Let o(c) = -6*c + 7. Let h(b) = 5*b - 6. Let q(m) = 7*h(m) + 6*o(m). Calculate i(q(t)). -2*t Let l(m) be the second derivative of m**3/3 + 3*m. Let x(q) be the second derivative of -q**4/4 - 4*q. Determine l(x(t)). -6*t**2 Let y(x) = -67*x**2 - 4. Let o(g) = 1071*g**2 + 63. Let m(q) = -4*o(q) - 63*y(q). Let i(u) = -u**2. Determine m(i(w)). -63*w**4 Let u(k) = -2*k - 19. Let c(t) = -5*t**2 + 14. Calculate c(u(l)). -20*l**2 - 380*l - 1791 Let q(s) = 3*s - 6*s - s - 2*s. Let l(g) = g**2. What is l(q(d))? 36*d**2 Let l(w) be the first derivative of 0*w - 4 - 3/2*w**2. Let p(q) = -3*q. Give p(l(a)). 9*a Let r(p) be the first derivative of p**4/6 + 2*p + 3. Let t(z) be the first derivative of r(z). Let s(q) = 2*q**2. Give t(s(b)). 8*b**4 Let h(g) = -20*g**2 - 8. Let p(j) = 2*j**2. Calculate h(p(s)). -80*s**4 - 8 Suppose -5*b + 11 = -4. Let h = b + -1. Let q(a) = h*a + 4*a - 4*a + 0*a. Let y(c) = 4*c**2. Determine q(y(j)). 8*j**2 Let g be 1 + 0 + (0 - -1). Let l(v) = -g*v + 5*v + 0*v. Let t(h) = 4*h + 0*h - 3*h. Determine l(t(q)). 3*q Let f(d) = -4481*d**2. Let x(y) = -y**2. What is f(x(c))? -4481*c**
{ "pile_set_name": "DM Mathematics" }
5 What is 130 minutes after 9:46 PM? 11:56 PM How many minutes are there between 9:34 PM and 5:16 AM? 462 What is 689 minutes after 6:47 PM? 6:16 AM How many minutes are there between 12:38 PM and 2:25 PM? 107 What is 491 minutes before 11:45 PM? 3:34 PM What is 592 minutes after 2:24 PM? 12:16 AM How many minutes are there between 3:36 AM and 2:23 PM? 647 What is 578 minutes after 9:14 PM? 6:52 AM What is 11 minutes before 4:29 AM? 4:18 AM What is 587 minutes before 11:12 AM? 1:25 AM How many minutes are there between 6:59 AM and 11:29 AM? 270 What is 283 minutes before 4:46 PM? 12:03 PM What is 2 minutes after 12:34 PM? 12:36 PM What is 592 minutes before 12:49 PM? 2:57 AM What is 167 minutes before 6:26 AM? 3:39 AM What is 53 minutes before 7:24 AM? 6:31 AM What is 367 minutes before 11:53 PM? 5:46 PM What is 252 minutes before 1:14 AM? 9:02 PM How many minutes are there between 11:24 PM and 3:30 AM? 246 What is 44 minutes before 11:49 AM? 11:05 AM What is 165 minutes before 12:40 AM? 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{ "pile_set_name": "DM Mathematics" }
or z. 7 Solve 2*k + 5*v = 13, -15*v - 25 = -3*k - 17*v for k. 9 Solve -2*k - 2*c = 4, -5*k = 4*c - 141 + 151 for k. -2 Solve 3*t + r + 17 = 0, 179*t - 180*t = 2*r + 4 for t. -6 Solve 204*k - 209*k + 20 = 5*c, 4*c + 5*k - 21 = 0 for c. -1 Solve -p = 5*y + 53163 - 53084, -2*y + p - 33 = 0 for y. -16 Solve -5*h = -2*q + 17, -4*q + 297*h - 298*h - 21 = 0 for q. -4 Solve 10*q = q + 3*j + 15, 25 = -2*q - 5*j for q. 0 Solve 5*c + 157*i - 159*i = -20, -c - 2*i + 8 = 0 for c. -2 Solve -2*n + 66 - 41 = 3*m, 30 = -2*n + 2*m for n. -4 Solve -26*f - 24*f - 10 = -45*f - 3*s, 5*f + 4*s - 25 = 0 for f. 1 Solve 2*h + 2 = 5*c, -2*c - 28*h = -29*h for c. 2 Solve 0 = -4*n - 20*a - 61 - 43, -4*n = 2*a + 68 for n. -16 Solve s - 5*f = 15, -5*s + 13*f - 14*f = -23 for s. 5 Solve 5*c - 5*o = -55, -2*c - 1320 + 1293 = -3*o for c. -6 Solve 5*d = 20, -12 = -0*j - j - 3*d for j. 0 Solve 4*l + 16 = -4*z, -38*z = -35*z - 3*l + 42 for z. -9 Solve -16 = 4*l, -8*z + z - 67 = -4*l - 76 for z. -1 Solve -102*s = -2*z - 109*s + 32, 0 = -z - 3*s + 14 for z. 2 Solve i - 2*p + 8 = 0, -37*p = 3*i - 49*p + 60 for i. 4 Solve 3*z + o = -11, 19*o - 8 = 17*o for z. -5 Solve 13*i - 2*z = 15*i, -i + 10 = -4*z for i. 2 Solve -2*s - 5*r - 11 = 0, 86*s + 3*r = 91*s - 50 for s. 7 Solve 63*k - 59*k = -5*g - 18, -4*g = -4*k for g. -2 Solve 3*f = -5*x + 10, -2*f - 9414*x + 9 = -9413*x for f. 5 Solve -45 = -5*w + 115*x - 113*x, -7*x - 105 = 0 for w. 3 Solve -2*v = -3*t - 4, -5*v - 2*t + 59 - 30 = 0 for v. 5 Solve 0*d + d = 5*m - 32, 7*m - 3*m - 28 = 0 for d. 3 Solve -80*f - 2 = -78*f - 5*y, -2*f = 2*y - 12 for f. 4 Solve -5*d = q + 10, -111890*d - 18 = -111887*d + 3*q for d. -1 Solve 2*x = y - 5, 0 = -5*x - 3*y - 28 - 1 for x. -4 Solve -53 = -3*z + 5*i, 15*z - 6526*i - 145 = -6531*i for z. 11 Solve 0 = -4*x - 2*m + 66113 - 66103, -4*x = 3*m - 15 for x. 0 Solve 3*t + 3*i = -15, -5*t - 78*i - 17 = -77*i for t. -3 Solve 0 = -3*b + 4*i + 6, -2097*b + 10 = -2096*b - 4*i for b. -2 Solve -415*p - 3*a + 6 = -410*p, 2*p - 5*a = -10 for p. 0 Solve -68*m = -71*m + 5*l - 19, 150*l + 25 = -5*m + 155*l for m. -3 Solve -4*d - 4*p + 16 = 0, 619*d - 618*d + 2 = p for d. 1 Solve 3*l + 12 = 3*m, -197*l + 193*l + 5*m = 14 for l. -6 Solve 0 = 4*c + 4*j + 193 - 241, -4*j + 12 = 0 for c. 9 Solve h + 25 = -4*r, 3*h = 13*r + 131 - 31 for r. -7 Solve 4*y = -9*m - 40, 87553*m - 5*y - 1 = 87552*m for m. -4 Solve -m - 2*h - 6 = 24, 0 = -m + 5*h + 82 for m. 2 Solve -4*u + 54 = -3*x - 31*u, 5*x = -0*u - 3*u - 6 for x. 0 Solve 4*s - 753*b = -752*b + 23, -2*s + 13 = -b for s. 5 Solve -866*g + 865*g - 1 = 2*w, 3*g + 5 = -5*w for g. -5 Solve 766*z = 762*z + c + 17, 5 = -5*c for z. 4 Solve z + m + 308 - 316 = 0, 3*z - 5*m = 0 for z. 5 Solve -5*n = 10*t - 50, 4*t - 18 = 558*n - 561*n for t. 6 Solve 2*h - 914*v - 79 = -909*v, 5*h - 39*v = 330 for h. 27 Solve 2*j + j - 4*j + 5*u = 4, 0 = -54*u + 54 for j. 1 Solve 3*v - 10*k - 40 = -5*k, -2*v - 13*k = 55 for v. 5 Solve -2*q - 14 = 6*y, -337*y = 2*q - 338*y + 14 for q. -7 Solve -s - 84*u = -85*u + 10, -u = -3*s - 20 for s. -5 Solve 35721*u = 35725*u - 5*z + 2, 3*z - 16 = 2*u - 7*u for u. 2 Solve -35*f - 6*p - 36 = -38*f, -2*p = -5*f + 60 for f. 12 Solve 5 = -r + 453*f - 451*f, 0 = 4*r + 5*f - 19 for r. 1 Solve 43*l = 5*r + 38*l - 30, 0 = -3*r + 2*l + 13 for r. 1 Solve -17*b + 238 = 0, y - 22 = 4*b - 82 for y. -4 Solve 2*x + 49 = -5*o, -1320*x - 2*o - 43 = -1327*x for x. 3 Solve 79*s - 74*s - i + 7 = 0, 3*i + 1 = 4*s for s. -2 Solve -15 = 3*z, -3*m - 3*z - 35 = -8 for m. -4 Solve -5*i - 4*k = -5, 6*i - 10*i + 4*k + 4 = 0 for i. 1 Solve -220*i - 18 = -219*i - 5*r, -2*i - 3*r + 29 = 0 for i. 7 Solve -32 = -3*w + 4*i, 87*i - 82*i = 5*w - 45 for w. 4 Solve 4*x - 4*u - 80 = 0, 146 - 180 = -2*x - u for x. 18 Solve -3*j = -i + 7 + 15, -18*i + 11*i = j - 66 for j. -4 Solve 3*u = -d + 8*u - 7, 0 = -8*d + 4*u - 20 for d. -2 Solve -8 = -4*x, -4*x - 202 = 6*d - 246 for d. 6 Solve 4*h - 1458*d + 16 = -1461*d, -d = -2*h - 8 for h. -4 Solve -7*v = n - 36, 256*n - 261*n = -2*v + 5 for n. 1 Solve 4*y + 9*m + 26 = 0, -2*y - 2*m - 4 - 4 = 0 for y. -2 Solve 0 = 5*y - 3*w - 34, -52*y = -51*y + 2*w + 1 for y. 5 Solve 5*c - 112 = 8*v, 538*v + 2*c = 534*v + 16 for v. -4 Solve 12 = -3*m - p, -1126*m - p = -1131*m - 28 for m. -5 Solve y + 2053 = 5*v + 2027, -3*y = 4*v - 17 for v. 5 Solve t = 1, 0 = 99*y - 98*y + 3*t - 1 for y. -2 Solve 5*f + 10 = -5*v, -2*f = -3*v - 14 + 18 for f. -2 Solve -4*y + 11 = 31, -4*m + 5*y = -12 - 25 for m. 3 Solve -y + 19 = 3*l, y = -2336*l + 2332*l + 25 for y. 1 Solve -2*w + 3*r + 48 = 0, 836 - 900 = 2*w + 5*r for w. 3 Solve -4*a + 12 = 4*s, s - 18 = -856*a + 860*a for a. -3 Solve -k - 10 = 5*u, -60*u - 9 = -62*u - 3*k for u. -3 Solve -4*n + 8*n = -3*m - 10, 2*n - 16 = 2*m for m. -6 Solve 2*u = -27*n + 270, 4*u - 15*n + 13*n + 20 = 0 for u. 0 Solve -702*m - 20 = -3*x - 697*m, -x - 4*m - 16 = 0 for x. 0 Solve 0 = -2*b + 20, -4*w = 34*b - 33*b - 18 for w. 2 Solve 4*b - 3*q + 471 - 472 = 0, -11 = -4*b + q for b. 4 Solve 0 = -3*k - 5*p + 22, 4*p - 18 = 3*k - 22 for k. 4 Solve -3*s = 3*g + 72 - 42, 3*s - 3*g = 30 for s. 0 Solve 0 = z + 2*d + 17, -4*z - 3*d + 310 = 333 for z. 1 Solve 0 = -3*b - 2*h + 5, 2*h = -5*h + 28 for b. -1 Solve 2 = -2*a - 2*v, -667*a - 3*v = -695*a + 34 for a. 1 Solve -g + 24 = 5*r, 8 = -3*g + 5 for r. 5 Solve 9772*s - 9775*s + c = 8, -4*s + 3*c + 1 = 0 for s. -5 Solve -37 = 3*p - 2*k, 2*k + 15 = 5*k for p. -9 Solve -2*z - 7 = 3*h, 0 = -4*z + z + h + 6 for z. 1 Solve -3*j + 3*o = -15, 2*j + 57*o = 58*o + 9 for j. 4 Solve 2*m + 6 = -2*k, -8642*m - 12 = -8638*m - 4*k for m. -3 Solve 0 = 4*c - 4*b + 15 - 11, 2*c = 5*b - 2 for c. -1 Solve -o + 3*k - 11 = 0, 4*o + 102*k - 103*k - 11 = 0 for o. 4 Solve -8*k = -3*j + 40, -2 - 3 = k - 4*j for k. -5 Solve 367 - 345 = -c + 2*x, 5*x = -c + 69 for c. 4 Solve 2*t = 3*q + 33, 25*t = -4*q + 20*t + 25 for q. -5 Solve 2*i = 2*l - 20, 0 = -i - 10488 + 10492 for l. 14 Solve -2*u + 31 = -3*l, -4*u + 20364 = 5*l + 20401 for l. -9 Solve 4 = -4*s - 4*b, 25*b = 5*s + 26*b + 5 for s. -1 Solve -3*a = -3*j + 21, 0 = -3*a - 2*j + 2541 - 2577 for a. -10 Solve 0 = -5*i + 4*c - 43, -7 = 4*i - c + 12 for i. -3 Solve 3*r + 4*d = -d + 18, 4*r + 3*d = 24 for r. 6 Solve 16*v = -5*a + 19, 5*a + 192*v = 194*v - 53 for a. -9 Solve 9 = 3*i - 3*r, -84*i + 3 = -83*i + 4*r for i. 3 Solve 0 = -9*o + 2*a - 52, -7*a + 8*a = -4*o - 25 for o. -6 Solve 2*r = -5*c + 42 - 40, -3*r = 4*c - 3 for c. 0 Solve -d - 29*u + 32*u + 9 = 0, 5*d - 8*u - 10 = 0 for d. -6 Solve b - 5*i = -13, 150 = -9*b + 2*i + 162 for b. 2 Solve -3*p = 2*k - 6, -18783*p + 25 = -18773*p + 5*k for p. 4 Solve 2*c - 27 = -5*o, -181*o + 69 = 12*c - 182*o for c. 6 Solve -4*g + 12 = 42*k - 45*k, 5*g = k + 26 for k. 4 Solve -22*u + 21*u = -c + 4, 3*c + 5*u - 12 = 0 for c. 4 Solve -3*k - 382*w + 380*w = 12, -4*k + 5*w = 16 for k. -4 Solve 0 = -t - 3*p + 89 - 85, 3*t - 12 = -5*p for t. 4 Solve 0 = -5*b + 55, -2*b + 34 = 171*p - 174*p for p. -4 Solve 147*a - 148*a = -3*s + 20, -14 = a - 2*s for a. -2 Solve 6*w - 3*o = -60, 7*w + 5*o = 22 + 95 for w. 1 Solve 3*v = -7*g + 27, 712*v - 3*g = 717*v - 19 for v. 2 Solve -6*s - 4 = -5*j, -860*s - 24 = -859*s + 5*j for s. -4 Solve 4*r - 955*c - 12 = -951*c, 2*r + 19 = -3*c for r. -2 Solve 127 - 99 = -7*y - 3*f, -2*f - 4 = y for y. -4 Solve 2*g + 3*s = 0, -4 = 63*g - 61*g + s for g. -3 Solve 35*f - 2*h + 14 = 31*f, -2*f + 3*h = 13 for f. -2 Solve -3*l - 5 = 2*w, 415*l + 24*w + 101 = 420*l for l. 1 Solve -5*j - 21 + 66 = 2*y, 27 = 3*j for y. 0 Solve 0 = 4*p - t + 14, -p = -3*t - 1779 + 1788 for p. -3 Solve -514*r + 12 = -516*r + 5*c, 5*r = 5*c for r. 4 Solve 4*i = -3*w + 12, 167*i - 164*i - 9 = 2*w for i. 3 Solve -2*d = -5*y + 13, -26*d + 27*d - 1 = 0 for y. 3 Solve -5*c + 19 = 274*v - 275*v, -4*v + 12*c - 10*c = 22 for v. -4 Solve -5*m = 5*a, 5*a = -4*m + 5343 - 5341 for a. 2 Solve -281*v + 282*v = -5*y - 17, 3*v - 21 = 3*y for y. -4 Solve -3*p = -4*x - 5234 + 5230, 5*p = 0 for x. -1 Solve -4*z - 5*h + 6*h = 0, 4*h = -z for z. 0 Solve 657*o - 656*o - 80 = 5*g, 12*o - 8*o = 5*g + 65 for g. -17 Solve -2154*t + 10 = -b - 2149*t, 5*b + 7 - 5 = t for b. 0 Solve 3*s = -3*y - 3, -5042 = -3*y - 2*s - 5040 for y. 4 Solve 0 = 2*j + 34591*l - 34593*l - 6, 3*l + 6 = 2*j for j
{ "pile_set_name": "DM Mathematics" }
) = -16*t**2 + 91*t + 31. Let u(o) = o**2. Determine r(u(l)). -16*l**4 + 91*l**2 + 31 Let t = -355 + 357. Let d(m) be the third derivative of 0*m + 0*m**3 + 0 + m**t - 19/24*m**4. Let w(c) = -2*c**2. Give w(d(k)). -722*k**2 Let g(s) = 20*s**2 - 1 + 1 - 19*s**2 + 0. Let c(j) = 2*j**2 - 2*j**2 + 4*j**2. What is g(c(l))? 16*l**4 Let t be 26/143 - (-40)/22. Let b(m) = 2*m**t + m**2 - m**2. Let h(q) = 3*q. Let a(k) = k. Let o(r) = 5*a(r) - 2*h(r). Determine o(b(x)). -2*x**2 Let u(m) = -m**2 - 17*m. Let z(w) = -3*w**2 - w + 1. Let g(n) = -4*n**2 - 2*n + 2. Let k(h) = g(h) - 2*z(h). Determine u(k(f)). -4*f**4 - 34*f**2 Let h(o) = -18*o**2 - 2*o. Let w(b) = 1368*b**2. What is h(w(g))? -33685632*g**4 - 2736*g**2 Let d(v) = -12*v**2 - 8*v**2 + 31*v**2 - 8*v**2 - 5*v**2. Let w(o) = -51*o**2. Determine w(d(y)). -204*y**4 Let b be (38/3 + 3)*(1 - -2). Let k(g) = -7*g**2 - b + 23 + 24. Let s(l) = 4*l. Calculate s(k(y)). -28*y**2 Let u(n) be the second derivative of 9*n + 0*n**2 + 0 + 25/6*n**3. Let g(h) = -h**2. Calculate u(g(f)). -25*f**2 Let b = -47 - -49. Let k(c) = 0*c - 3*c + 0*c + b*c. Let d(r) = -3*r. Calculate d(k(g)). 3*g Let q(t) = 9*t**2. Suppose 0 = -w + 2 + 1. Let a(v) = v**2 - 11*v + 12. Let p be a(10). Let r(j) = -4*j**2 + 3 + 3*j**p - w. Calculate r(q(l)). -81*l**4 Let w(p) = -3*p + 4*p - 4*p. Let q(a) be the third derivative of -a**6/90 - 5*a**3/6 - 13*a**2. Let n(o) be the first derivative of q(o). Determine n(w(i)). -36*i**2 Let s(y) = 18*y - 5. Let h(l) = -28*l + 8. Let m(t) = 5*h(t) + 8*s(t). Let w(v) = 12*v. What is m(w(z))? 48*z Let w(n) = 11*n. Let u(b) = -b**3 + 2*b**2 + 24*b - 3. Let t be u(6). Let a(k) = k**2 + 1. Let c(j) = -1. Let x(h) = t*c(h) - 3*a(h). Give w(x(q)). -33*q**2 Let v(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 6*r**2 + 0 - 1/60*r**5. Let w(l) = 2 + 2*l**2 - 2. What is v(w(x))? -4*x**4 Let i(v) = -18*v - 4. Let h(j) = -15*j**2 - 28. Let d(k) = -13*k**2 - 24. Let w(s) = -7*d(s) + 6*h(s). What is i(w(q))? -18*q**2 - 4 Let r(o) = 7373*o**2. Let n(d) = -3*d**2. What is n(r(l))? -163083387*l**4 Let z(q) = 2*q**2. Let a(s) be the second derivative of -s**6/120 - 5*s**4/12 - 4*s. Let t(o) be the third derivative of a(o). Give z(t(m)). 72*m**2 Let i(t) = 9*t. Let s(w) be the second derivative of -w**4/4 - 3*w. What is i(s(c))? -27*c**2 Let n(q) = -q - 6. Let t(i) = i**2 + i + 6. Let f(k) = n(k) + t(k). Let v(c) be the third derivative of -c**4/24 + 2*c**2. Determine v(f(h)). -h**2 Let n(q) = 2*q. Let i(y) = -10*y + 3. Let a(x) = 9*x - 7. Let r(d) = 7*a(d) + 6*i(d). Calculate n(r(f)). 6*f - 62 Let w(v) = 4*v**2. Suppose -5*t = -183 - 497. Let u(i) = -3*i + 3*i - t*i**2 + 133*i**2. What is w(u(a))? 36*a**4 Let q(f) = 22*f - 22*f - 14*f**2 - 2*f**2. Let i(s) = -3*s. Calculate q(i(l)). -144*l**2 Let o(a) = -1712*a**2. Let z(r) = 81*r**2. What is z(o(x))? 237406464*x**4 Let t(c) = -58008*c**2. Let s(m) = -m**2. What is t(s(q))? -58008*q**4 Let x(c) = -188*c**2. Let g(p) = -96*p + 2 - 2 + 98*p. Calculate g(x(w)). -376*w**2 Let y(g) = -g. Let x(h) be the third derivative of 0*h**3 - 38*h**2 - 7/24*h**4 + 0 + 0*h. Calculate y(x(a)). 7*a Let a(h) = 5*h. Let v(z) = -86*z + 0 + 90*z + 0. Let k(f) = -f. Let s(p) = 6*k(p) + 2*v(p). Calculate s(a(u)). 10*u Let r(t) be the first derivative of -t**4/6 + 2*t - 4. Let z(n) be the first derivative of r(n). Let v(d) = 13*d**2. Give z(v(a)). -338*a**4 Let v(c) = 28*c**2. Let b(l) be the third derivative of -l**5/60 + 813*l**2. Calculate v(b(o)). 28*o**4 Let r(b) = -b. Let n(i) be the second derivative of 5*i**4/12 + 3*i**3 + 29*i - 4. Give r(n(o)). -5*o**2 - 18*o Let w(d) = 64*d. Let h(s) = 4*s + 20. Let g(p) = 4*p + 24. Let q(x) = 5*g(x) - 6*h(x). Calculate w(q(j)). -256*j Let a(f) = -2*f**2. Let p(c) = -86*c - 239*c + 12*c - 105*c. Let z(w) = 11*w. Let s(y) = 6*p(y) + 231*z(y). Give a(s(x)). -2178*x**2 Let h(p) be the third derivative of 0*p**4 + 9*p**2 + 0*p + 0*p**3 + 0 - 17/60*p**5. Let t(u) = -u**2. Determine t(h(l)). -289*l**4 Let y(n) = 6*n**2. Let p(o) = -2448*o. What is y(p(u))? 35956224*u**2 Let y(n) = -3*n. Let u(r) be the third derivative of r**5/60 + 5*r**3/2 - 96*r**2. Give y(u(f)). -3*f**2 - 45 Let n(o) = -o + 9. Let k(j) = 25*j. Determine n(k(c)). -25*c + 9 Let x(u) be the second derivative of -13*u**5/20 - 33*u**2/2 - 16*u. Let t(z) be the first derivative of x(z). Let v(k) = -2*k**2. Calculate v(t(i)). -3042*i**4 Let r(i) = -2*i**2 + i + 1. Let u(m) = -63*m**2 + 27*m + 27. Let h(v) = 27*r(v) - u(v). Let f(y) = 21*y. Give h(f(x)). 3969*x**2 Let y(r) be the third derivative of 7*r**4/4 - 545*r**2. Let h(d) = -31*d. What is y(h(n))? -1302*n Let v be 12/6 + (-4)/2. Let r(l) = -1 + 2*l + 1 + v. Let c(a) = 5*a**2 - 3*a**2 + a**2. Determine r(c(u)). 6*u**2 Let c = 760 + -760. Let b(u) be the third derivative of 1/12*u**5 + c*u**4 + 0 + 0*u - 3*u**2 + 0*u**3. Let v(p) = 4*p**2. Give v(b(d)). 100*d**4 Let l(q) = 61*q. Let m(u) = -2423*u**2. What is m(l(b))? -9015983*b**2 Let j(c) = -8872*c. Let u(l) = 34*l**2 - 2. Give j(u(h)). -301648*h**2 + 17744 Let m(o) = 39*o + 1. Let i(k) be the second derivative of 5*k**4/12 + 279*k. What is i(m(v))? 7605*v**2 + 390*v + 5 Suppose 3*i + 3*p = 12, 0 = 4*i - 7*i - p + 8. Let f(b) = 3 - 62*b**i + 57*b**2 - 3. Let y(m) = -m. What is y(f(z))? 5*z**2 Let n(g) = 5*g**2 - 6*g + 12. Let f(d) = -11*d**2 + 13*d - 26. Let w(k) = -6*f(k) - 13*n(k). Let s(y) = -y - 3*y - y. What is w(s(z))? 25*z**2 Let c(y) = 2*y**2 + 3*y - 3. Let a(w) = w - 1. Let u(g) = 3*a(g) - c(g). Let p be 1 + (1 + -3 - -1). Let h(j) = -3 - 5*j**2 + 3 + p*j**2. Calculate u(h(l)). -50*l**4 Let j(q) = 2823409*q**2. Let m(x) = -x. What is j(m(o))? 2823409*o**2 Suppose -32*v = -36*v + 96. Let b(g) = -32*g + 24 - v. Let w(i) = i. What is b(w(u))? -32*u Let s = -47 - -49. Let w(x) = -4*x**s + 3*x**2 + 6*x**2 - 3*x**2. Let i(g) = 7*g**2. Calculate w(i(f)). 98*f**4 Let k(s) = -7983*s. Let o(g) = 2*g. What is k(o(l))? -15966*l Let n(u) = -11*u. Let a(o) = -5224*o. Give a(n(y)). 57464*y Let o(s) = 477*s. Let a(t) = t**2 + 4017*t + 2. Calculate o(a(c)). 477*c**2 + 1916109*c + 954 Let b(o) = -o - 2. Let t(j) = -9*j + 2. Give b(t(u)). 9*u - 4 Let x(u) = u**2. Let w(s) = 47 - 129 + 39 - 4*s + 44. What is x(w(n))? 16*n**2 - 8*n + 1 Let n(t) = 8*t - 2*t - 3*t. Let a(p) = -23*p. Give a(n(i)). -69*i Let w(x) = 2*x**2 + 94*x. Let n(c) = 1956*c**2. What is w(n(u))? 7651872*u**4 + 183864*u**2 Let g(j) = 0*j**2 + 0*j**2 - 3*j**2. Let z(s) = s - 2. Let a(c) = 6*c - 11. Let k(p) = 6*a(p) - 33*z(p). What is k(g(f))? -9*f**2 Let x(b) = -8*b**2 + 11782*b. Let d(o) = 13*o. Determine d(x(l)). -104*l**2 + 153166*l Let i = -35 + 39. Let d(p) = -3*p + 6*p - i*p - 2*p. Let z(c) = c. Calculate z(d(s)). -3*s Let s = -58 - -70. Let m(r) = -4*r + s*r - 5*r - r. Let x(j) = 6*j**2. Determine x(m(q)). 24*q**2 Let t(h) = 3*h. Let p(x) = 2*x + 959 - 20*x**2 + 966 + 961 - 2886. Determine t(p(l)). -60*l**2 + 6*l Suppose 0 = z - 7 + 5. Let w be z - (-1)/4*-4. Let l(y) = 5 - w + 2*y - 4. Let v(f) = -f. Give l(v(r)). -2*r Let i(j) = -54*j + 6. Let s(k) = 437*k. Calculate s(i(n)). -23598*n + 2622 Let z(x) = -111137*x**2. Let l(o) = 2*o**2. Give z(l(n)). -444548*n**4 Let d(w) = -w - 1. Let k(x) = 5*x + 4. Let n(m) = -4*d(m) - k(m). Let o(v) = 54*v**2. What is o(n(q))? 54*q**2 Let z(q) be the first derivative of 9*q**2/2 - 367. Let i(w) = 18*w. What is z(i(l))? 162*l Let n be 12/(-18) - ((-80)/3 + 2). Let s(b) = -n*b**2 + 46*b**2 - 24*b**2. Let i(h) = -5*h. Give s(i(p)). -50*p**2 Let w(v) = -2*v**2 - 33. Let o(l) be the third derivative of -l**5/60 + 3*l**3/2 - 15*l**2. Let s(d) be the first derivative of o(d). Determine w(s(n)). -8*n**2 - 33 Let i(r) be the third derivative of r**5/30 + r**2 - 8*r. Suppose o - j = 2 + 2, 0 = 2*o - j - 6. Let a(t) = -4*t**2 - 2*t**o - 2*t**2. Calculate i(a(m)). 128*m**4 Let b(o) = -550*o**2. Let q(n) = 769*n**2. Determine q(b(r)). 232622500*r**4 Let x(n) be the first derivative of 36*n**2 + 23. Let d(k) = -k**2. Give x(d(v)). -72*v**2 Let i(q) be the third derivative of q**4/12 - 51*q**2 + 1. Let c(f) = -127*f. What is c(i(b))? -254*b Let q(v) = 55305 - 55305 + 2*v. Let d(g) = -82*g - 3. Determine q(d(h)). -164*h - 6 Let m(w) = -w. Let u(o) = 4*o + 5. Let s(p) = p**2 + 2*p - 10. Let a
{ "pile_set_name": "DM Mathematics" }
, -5332, -7357? -62*u**2 - 1591*u - 1 What is the z'th term of -79, -327, -831, -1669, -2919, -4659, -6967? -13*z**3 - 50*z**2 - 7*z - 9 What is the c'th term of -3185, -8414, -15691, -25016, -36389, -49810, -65279? -1024*c**2 - 2157*c - 4 What is the s'th term of -37306, -36984, -36446, -35692, -34722, -33536? 108*s**2 - 2*s - 37412 What is the k'th term of 473, 1711, 3713, 6485, 10033, 14363? k**3 + 376*k**2 + 103*k - 7 What is the b'th term of -1197173, -2394387, -3591601, -4788815, -5986029, -7183243? -1197214*b + 41 What is the c'th term of 5182072, 10364146, 15546220, 20728294? 5182074*c - 2 What is the b'th term of -18020, -125721, -418054, -987335, -1925880, -3326005? -15386*b**3 + b - 2635 What is the c'th term of -13667, -19455, -25243, -31031? -5788*c - 7879 What is the o'th term of 6208, 6446, 6848, 7414, 8144, 9038? 82*o**2 - 8*o + 6134 What is the g'th term of -16069, -17119, -18905, -21457, -24805, -28979? -5*g**3 - 338*g**2 - g - 15725 What is the i'th term of -31579, -30966, -30353, -29740, -29127, -28514? 613*i - 32192 What is the g'th term of 11501, 9712, 7925, 6140, 4357, 2576? g**2 - 1792*g + 13292 What is the g'th term of -5565, -5719, -5967, -6309? -47*g**2 - 13*g - 5505 What is the n'th term of 5113, 14899, 24685, 34471, 44257, 54043? 9786*n - 4673 What is the t'th term of -30456478, -30456479, -30456480? -t - 30456477 What is the v'th term of -30, -265, -700, -1335, -2170? -100*v**2 + 65*v + 5 What is the g'th term of 8488131, 16976249, 25464365, 33952479? -g**2 + 8488121*g + 11 What is the b'th term of 54822981, 109645973, 164468965, 219291957, 274114949, 328937941? 54822992*b - 11 What is the y'th term of 10572, 11498, 12424, 13350, 14276, 15202? 926*y + 9646 What is the z'th term of 2125020, 2124827, 2124636, 2124447? z**2 - 196*z + 2125215 What is the l'th term of 281206, 562365, 843524? 281159*l + 47 What is the j'th term of 1196, 1440, 1706, 2006, 2352? 2*j**3 - j**2 + 233*j + 962 What is the s'th term of -2080, -7967, -17652, -31135, -48416, -69495, -94372? -1899*s**2 - 190*s + 9 What is the l'th term of 13193, 20664, 33115, 50546? 2490*l**2 + l + 10702 What is the o'th term of 1308, -217, -1742, -3267, -4792, -6317? -1525*o + 2833 What is the k'th term of 11903, 11834, 11777, 11738, 11723, 11738? k**3 - 76*k + 11978 What is the m'th term of 47020, 47034, 47068, 47128, 47220, 47350, 47524? m**3 + 4*m**2 - 5*m + 47020 What is the i'th term of -1102577, -1102441, -1102305? 136*i - 1102713 What is the g'th term of 97976, 194363, 290750? 96387*g + 1589 What is the t'th term of 12540795, 25081585, 37622375? 12540790*t + 5 What is the o'th term of -2166, -17380, -58656, -139026, -271522? -2172*o**3 + o**2 - 13*o + 18 What is the n'th term of 18542, 18534, 18522, 18506? -2*n**2 - 2*n + 18546 What is the x'th term of 7807410, 7807415, 7807424, 7807437, 7807454, 7807475, 7807500? 2*x**2 - x + 7807409 What is the y'th term of -7100, -14328, -21638, -29030, -36504, -44060, -51698? -41*y**2 - 7105*y + 46 What is the u'th term of 3272, 11137, 24252, 42623, 66256, 95157, 129332? u**3 + 2619*u**2 + u + 651 What is the s'th term of -2187, -2324, -2531, -2808, -3155? -35*s**2 - 32*s - 2120 What is the u'th term of 3768, 31962, 108526, 257646, 503508? 4031*u**3 - u**2 - 20*u - 242 What is the q'th term of 458706, 3669836, 12385762, 29358882, 57341594? 458733*q**3 - q - 26 What is the r'th term of -208471, -416935, -625409, -833899, -1042411? -r**3 + r**2 - 208460*r - 11 What is the b'th term of -74691, -298773, -672247, -1195113, -1867371? -74696*b**2 + 6*b - 1 What is the d'th term of 13261, 53231, 119837, 213073, 332933? -d**3 + 13324*d**2 + 5*d - 67 What is the k'th term of 26629, 106791, 240475, 427681? 26761*k**2 - 121*k - 11 What is the h'th term of -8454, -5811, -3168, -525, 2118? 2643*h - 11097 What is the i'th term of 493, 635, 1277, 2749, 5381? 55*i**3 - 80*i**2 - 3*i + 521 What is the t'th term of -16940917, -33881864, -50822813, -67763764, -84704717? -t**2 - 16940944*t + 28 What is the q'th term of -5057, -23629, -55713, -101309, -160417, -233037, -319169? -6756*q**2 + 1696*q + 3 What is the m'th term of -34998699, -139994797, -314988293, -559979187, -874967479? -34998699*m**2 - m + 1 What is the z'th term of 26018, 25695, 25156, 24401, 23430, 22243? -108*z**2 + z + 26125 What is the o'th term of 72796, 145440, 218082, 290722, 363360? -o**2 + 72647*o + 150 What is the b'th term of 42824, 342261, 1155012, 2737733, 5347080? 42776*b**3 + b**2 + 2*b + 45 What is the o'th term of -19521, -79378, -179139, -318804, -498373, -717846? -19952*o**2 - o + 432 What is the v'th term of -7970328, -7970330, -7970332, -7970334? -2*v - 7970326 What is the x'th term of 16422, 16274, 16126, 15978? -148*x + 16570 What is the j'th term of -8154, -21671, -44198, -75735? -4505*j**2 - 2*j - 3647 What is the n'th term of 3796, 13521, 29710, 52363, 81480, 117061? 3232*n**2 + 29*n + 535 What is the z'th term of -534145, -534160, -534185, -534220, -534265, -534320, -534385? -5*z**2 - 534140 What is the f'th term of 56896, 113573, 170138, 226591, 282932, 339161? -56*f**2 + 56845*f + 107 What is the h'th term of -2348, -4160, -5972, -7784, -9596? -1812*h - 536 What is the z'th term of 560600, 1121196, 1681792? 560596*z + 4 What is the f'th term of 1419193, 2838537, 4257881, 5677225, 7096569, 8515913? 1419344*f - 151 What is the a'th term of 375503, 751006, 1126509, 1502012, 1877515? 375503*a What is the z'th term of -23108, -21715, -19382, -16109? 470*z**2 - 17*z - 23561 What is the w'th term of 2138000, 4275980, 6413956, 8551928, 10689896, 12827860? -2*w**2 + 2137986*w + 16 What is the s'th term of 53141, 52246, 51351? -895*s + 54036 What is the v'th term of -16687, -67178, -151327, -269128, -420575? v**3 - 16835*v**2 + 7*v + 140 What is the l'th term of 5517906, 11035809, 16553712, 22071615, 27589518? 5517903*l + 3 What is the i'th term of 5290635, 5290663, 5290689, 5290713, 5290735, 5290755? -i**2 + 31*i + 5290605 What is the a'th term of 310085024, 620170052, 930255084, 1240340120, 1550425160, 1860510204, 2170595252? 2*a**2 + 310085022*a What is the x'th term of 4266, 7574, 10884, 14196? x**2 + 3305*x + 960 What is the o'th term of -406903, -1627648, -3662225, -6510634, -10172875? -406916*o**2 + 3*o + 10 What is the v'th term of -48692, -198171, -447302, -796085, -1244520, -1792607, -2440346? -49826*v**2 - v + 1135 What is the h'th term of 2298318, 4596623, 6894928, 9193233? 2298305*h + 13 What is the a'th term of -30217, -61279, -92315, -123313, -154261, -185147, -215959? 2*a**3 + a**2 - 31079*a + 859 What is the o'th term of -18181, -145540, -491235, -1164436, -2274313? -18195*o**3 + 2*o**2 + 12 What is the d'th term of 37, 305, 1031, 2437, 4745? 37*d**3 + 7*d**2 - 12*d + 5 What is the t'th term of 21983, 21927, 21897, 21905, 21963? 2*t**3 + t**2 - 73*t + 22053 What is the c'th term of 104, -247, -828, -1633, -2656? c**3 - 121*c**2 + 5*c + 219 What is the r'th term of 19345, 18912, 18179, 17152, 15837, 14240, 12367? r**3 - 156*r**2 + 28*r + 19472 What is the v'th term of 78014, 313091, 704894, 1253429, 1958702, 2820719? v**3 + 78357*v**2 - v - 343 What is the c'th term of 345997, 345984, 345971? -13*c + 346010 What is the i'th term of 605, 798, 903, 920? -44*i**2 + 325*i + 324 What is the i'th term of 243067, 486112, 729139, 972148, 1215139, 1458112? -9*i**2 + 243072*i + 4 What is the r'th term of 7770, 62296, 210316, 498576, 973822, 1682800, 2672256, 3988936? 7791*r**3 + r**2 - 14*r - 8 What is the y'th term of -18988569, -37977128, -56965687, -75954246, -94942805? -18988559*y - 10 What is the w'th term of -4491, -2383, -275, 1833? 2108*w - 6599 What is the n'th term of 4722, 8605, 12488, 16371? 3883*n + 839 What is the m'th term of 31836, 63698, 95576, 127470, 159380? 8*m**2 + 31838*m - 10 What is the d'th term of 19814, 36153, 52492, 68831, 85170? 16339*d + 3475 What is the m'th term of 63432, 126775, 190118, 253461, 316804, 380147? 63343*m + 89 What is the g'th term of -157, -919, -2849, -6529, -12541? -97*g**3 - 2*g**2 - 77*g + 19 What is the f'th term of 368687, 737310, 1105933, 1474556? 368623*f + 64 What is the j'th term of 2055975, 4111953, 6167931, 8223909? 2055978*j - 3 What is the k'th term of -1123291, -2246587, -3369883? -1
{ "pile_set_name": "DM Mathematics" }
05) and 84. 420 Let b be 2 + 0 + 2 + -1. Suppose -2*r + 13 = b*c, -10 = -4*c - 2*r + 6. What is the smallest common multiple of c and ((-24)/(-72))/(1/18)? 6 Let m = -134543/18 - -7479. Find the common denominator of (-99)/110*(-9)/2 and m. 180 Let s be (-27936)/(-378) + (-6)/(-14). Let t = 1549/21 - s. Let v = -229/77 + t. Calculate the common denominator of v and -28/5. 55 Let b(l) = 2*l - 12. Let n be b(6). Suppose n = -5*i + 5*h + 2980, 1725 = 5*i + 4*h - 1246. Calculate the smallest common multiple of i/55 + (-4)/(-22) and 9. 99 What is the common denominator of -49/11 and ((-13 - -9) + -1)/((-39)/7)? 429 Suppose k + 2*h = 3*k + 20, 20 = 5*h. Let s be 2*(-5)/((-15)/k). Find the common denominator of -95/18 and 0 - (s - (-220)/24). 18 Let u = 8 - 101/7. Suppose 52*g = -5*q + 53*g - 179, g + 136 = -4*q. Find the common denominator of q and u. 7 Let v = 19 + -12. Let z = 88007/12 - 7328. Find the common denominator of 22/(17/v + -3) and z. 12 Let k be (-1)/(2/(-4))*-1. Let z be 0*1/k*-1. Suppose -u - 2*a + 7 = z, -u + 2*u + 4*a = 3. What is the least common multiple of u and 7? 77 Suppose 9*t = 35*t - 338. What is the least common multiple of 10/(2*(-1)/(-2)) and t? 130 Let v(p) = p**3 + 4*p**2 - 7*p - 4. Let u be v(-5). Suppose -4*g = -0*z - z - 14, 2*g = u. Find the common denominator of 39/10 and 1/z - (-36)/30. 10 Let r = 906 + -825. Calculate the least common multiple of r and 24. 648 Let t = 11238 - 404429/36. Find the common denominator of (-7)/(-112)*(-3 + 96*1) and t. 144 Let l = 1/1723 - 87875/3446. What is the common denominator of -95/236 and l? 236 Let w be 28 - 0 - (5 - (4 + 0)). Suppose -3*m + w = 5*h - 14, h = -m + 7. What is the smallest common multiple of h and 50? 50 Let n = 3895661/477 + -8167. Let i = 14618/2385 + n. Calculate the common denominator of i and 29/21. 105 Suppose a + 4 = 5*a. Suppose -3*l + 4 = 2*k, 0 = -5*k - l + 4*l + 52. Calculate the smallest common multiple of a and k. 8 What is the smallest common multiple of 55 and -48 + 47 - (-3)/((-3)/(-16))? 165 Let w = -9 + 13. Suppose -8*u + 4*u + w = 0. Suppose -20 = 4*b, 3*k + 5*b = -0*k - u. What is the smallest common multiple of 5 and k? 40 Let f be 351/18*(-8)/3. Let l be (-4)/(-6)*6*-1. Find the common denominator of f/(-14) + 6 + l and -87/2. 14 Let f = 89542/115 + -21396469/26680. Let w = f + 492/29. Calculate the common denominator of w and -121/24. 24 Let f = -4 + 12. What is the lowest common multiple of (72/96)/((-22)/24 + 1) and f? 72 Let j = -178265/14 - -12728. Find the common denominator of j and (-646)/140 + (36/(-15))/4. 14 Let s(f) = -5*f**2 - f - 8. Let g be s(-3). Let y = 53 - 29. What is the common denominator of 5/55*g + 3 and y? 11 Let d = 20651/30 - 694. Let w = -1/2714 + 50217/21712. Find the common denominator of d and w. 240 Let g = 50 - 19. Suppose -a + 3*a + 2 = 0, -3*r = -a - g. Calculate the lowest common multiple of r and 3. 30 Let s = 32 + -21. Calculate the smallest common multiple of s and -7*(-126)/(-196)*4/(-6). 33 Find the common denominator of (-1)/14*7650/135 and 31/30. 210 Let l be 22/99 - 832618/(-360). Let j = l - 2314. Find the common denominator of 67/56 and j. 280 Let a = 4 - 14. Let z = 28 - 16. Calculate the smallest common multiple of (-88)/a + (12/10 - 2) and z. 24 Let s(x) = -2*x**2 + 8. Let z(k) = 2*k**2 + k - 8. Let d(u) = -4*s(u) - 3*z(u). What is the smallest common multiple of 22 and d(4)? 132 Find the common denominator of -97/1796 and (2 - 64/30)*(-1071)/56. 8980 What is the common denominator of 121/6 and (-3)/(-2) - 411*4/1008? 84 Let a = 2/62111 + 1055527/11179980. What is the common denominator of a and -73/135? 540 Suppose -12 = -3*o + o. Let a be (-6)/(-198)*6 + 1626/11. Suppose 22*w = 50 + a. What is the lowest common multiple of o and w? 18 What is the least common multiple of 33/(49/(-14) - -4) and 6? 66 Let v be 14/(-105) + 10915/80175. Let p = 144508755 + -1699278398766/11759. Let h = p + v. What is the common denominator of -73/6 and h? 66 What is the common denominator of (2/(-100)*6)/((-240)/2960) and -91/40? 200 Let m = -3551/30 + 685/6. Find the common denominator of m and ((-219)/90 - 2/5) + 4. 30 Let d = -41/2 + 59. Let h = -305/6 + 409/6. What is the common denominator of h and d? 6 Let n = -12207/280 + 589/14. Calculate the common denominator of n and -19/24. 120 Let b(i) = 3 - i**2 + i**3 + 0*i + 0*i**2 - 7 - i. Calculate the smallest common multiple of b(3) and ((-2 - (-6)/4) + 1)*18. 99 What is the common denominator of (-2)/8 - (-4850)/6600 and 61/123? 1353 Suppose 5*o - 116 = 2*w - 3*w, -o = -4*w - 40. Suppose 0 = -3*x + 2*x + 16. What is the lowest common multiple of o and x? 48 Let p = 21 - 24. Calculate the least common multiple of 4 + p + (-10)/(-2) and 4. 12 Let m(z) = z**3 + 18*z**2 + 14*z - 27. Let l be m(-17). Suppose 3*u = 6 - 54. Let f = u + l. What is the least common multiple of f and 2? 8 Let b = -214 + 400. What is the lowest common multiple of b and 6? 186 Suppose 2*b + 2 = 2*a, 0 = 3*a - 2*a - 3. Let c = 9 + -4. Suppose 0 = -t - 4*t + 3*q + 27, c*q - 29 = -4*t. What is the least common multiple of t and b? 6 Calculate the common denominator of -95/4 and (2235/18)/(-5) + 2. 12 Let a be 3 + 549/(-154) + 1. Let l = a + -1/14. Find the common denominator of l and -25/11. 11 Let c be 8/(-52) + 606/3094. Let g = c - 683/10591. Let k = -8997/356 - g. What is the common denominator of k and -53/30? 60 Let f = -5297/63 - -594/7. Find the common denominator of f and (151/(-6) - 1) + 6. 18 Let s = -4/207 - -15947/414. Find the common denominator of 13/8 and s. 8 Let u = -1691 - -1700. What is the smallest common multiple of u and 1125? 1125 Let k(i) = -4*i - 5. Let u(r) = 4*r + 10 + 7*r + 12 - 6. Let p(z) = 8*k(z) + 3*u(z). Calculate the lowest common multiple of p(-7) and 6. 6 Find the common denominator of 47/16 and (-3550)/(-80)*((-3)/60)/1. 32 Suppose 17*u + 144 = u. What is the common denominator of ((-126)/(-12))/(2 + u/(-4)) and 29/5? 85 Suppose 2*l - 5*t + 3*t = 0, 3*l = 5*t + 6. Calculate the common denominator of l/6*(-413)/(-49) and -123/10. 70 Suppose -2*y - 5*c + 37 = -43, 4*y - 3*c - 186 = 0. Suppose -5*t + 0*l + l = -y, 2*t - 31 = 3*l. What is the lowest common multiple of 9 and t? 72 Let k(m) = 20*m**2 - 26*m + 130. What is the lowest common multiple of k(6) and 6? 2082 Let v = -231 + 251. What is the lowest common multiple of 10 and v? 20 Let z(h) = -3*h + 11. Let x be z(5). What is the common denominator of 85/18 and x/(-14) - 12/16? 252 Let q = 7327462/187 - 39184. What is the common denominator of -7/136 and q? 1496 Let j = 25 + 11. Suppose 4*w = -5*l + 72, 2*l + 4*w - j = -0*w. Calculate the smallest common multiple of 14 and l. 84 Let v = -19971775/1603 - -12459. Let q = v - 123439/6412. Find the common denominator of q and (6/5)/((-9)/10). 12 Suppose -29 = 3*f + q, 2*f - 3*q + 2*q = -11. Let l be 876/21 - f/28. What is the common denominator of 56/5 and 4/2 + l/(-10)? 5 Let b = -22 - -143/7. Find the common denominator of 49/396 and b. 2772 Let y(x) = -x**2 + 7*x - 6. Let w be y(2). What is the lowest common multiple of 30 and (0 - -1) + 15/(12/w)? 30 What is the least common multiple of 6 and (8/(-20))/(6/(-180)*2)? 6 Let j = -8569/216 - -1214/27. Let r = -5789/24 + 1481/6. Find the common denominator of j and r. 24 Let b = 5003/231 + -134/7. Suppose 5*t = 3*x + 5, t + x - 1 = 4*x. Let s(n) = -9*n**2. What is the common denominator of b and s(t)? 33 Suppose 21 = -5*y + 6. Calculate the common denominator of 627/270 + 1 + (-65)/25 and y/((-48)/142) + -2. 72 Let f be (-2)/8 + (-30)/8 + 7. Find the common denominator of f/(-18) + (-470)/(-48) and 71/32. 32 Let d = 142 - 137. Calculate the smallest common multiple of d and 36. 180 Calculate the smallest common multiple of (-110)/(-25) + -4 - (-26)/10 and 8. 24 Let j(i) = -18*i - 133. Calculate the lowest common multiple of j(-8) and 8. 88 Let u = 2695 - 2605. Calculate the least common multiple of u and 90. 90 Let g(s) = -s**3 + 17*s**2 + s - 1. Let o be g(17). What is the common denominator of 9/(28/(3 - 1)) and ((-6)/o)/((-3)/(-57))? 56 Calculate the lowest common multiple of -2 - (-13 + 0) - -1 and 60. 60 Let t = -13929 + 250837/18. Let g = -60620197519/4274078766 - -224534/220609. Let s = g - 4/
{ "pile_set_name": "DM Mathematics" }
.476. 747770138.482 What is the difference between -143 and 8522.20673? 8665.20673 2765.802013+-65775 -63009.197987 What is -197920.48 - -0.2497? -197920.2303 -4.3523+10744.18003 10739.82773 -0.3+-328151525652 -328151525652.3 Sum -1010173 and -130.74548. -1010303.74548 Put together -5468871.1181 and 2. -5468869.1181 What is 1120701.473 + -436741? 683960.473 Add together -354279395 and 2210.967. -354277184.033 Calculate -270.02373 + 1.392671. -268.631059 Add 26 and 802690766945. 802690766971 20.45759155 + -11 9.45759155 Add -26826976676 and -3. -26826976679 -7.043 - 7191538116 -7191538123.043 Add together -3547947.396 and -0.14. -3547947.536 What is 185018.00683 less than -0.469? -185018.47583 What is 2.26995 plus 2316289? 2316291.26995 What is the difference between 1400.581609 and -85? 1485.581609 Sum 0.01402881 and -14.43. -14.41597119 What is 340568 plus 10325574? 10666142 Add 75378 and 188062339. 188137717 What is 5.97 + 39087064? 39087069.97 What is 37.5 less than -2643948993? -2643949030.5 Add 9449434.7787 and 1.811. 9449436.5897 Put together -196838673.1845 and -3. -196838676.1845 0.0604 + 23599419 23599419.0604 What is -30789074 + 13.31? -30789060.69 Add together -115 and 1555744.18982. 1555629.18982 Add together 0.2589 and 326338959. 326338959.2589 What is the difference between 69434.26125 and 0.1? 69434.16125 Calculate 0.05025956 + 0.0533662. 0.10362576 What is -58047018.4818 - 0.06? -58047018.5418 What is -1213242 + -51509065? -52722307 What is -2 + -19267280189? -19267280191 What is -30305215349 take away 8.8? -30305215357.8 Calculate -738722118 + -32. -738722150 Calculate 0.84282339 - 3329234. -3329233.15717661 Put together -67 and 2256242971.3. 2256242904.3 76844584500589+-0.1 76844584500588.9 Sum -45 and 17969649755. 17969649710 0.84+521774121 521774121.84 Calculate -4 + 61100154894929. 61100154894925 0.05580221568 - 0.2043 -0.14849778432 What is -179206212483 minus -111? -179206212372 Work out -222705464 - 14.621. -222705478.621 Sum 33610.5028252 and 3. 33613.5028252 Calculate -3.4 + 1925085021336. 1925085021332.6 Put together -9523061657 and -0.1. -9523061657.1 Calculate 69.7 + 10768734861. 10768734930.7 Calculate -27422398 - -27.59. -27422370.41 Add together 31729 and -368845156. -368813427 Add together 217487868394367 and -0.01. 217487868394366.99 Calculate -0.50347712 - -8.3879. 7.88442288 What is -1728.7 take away 9599846? -9601574.7 Calculate 178261297876.1 + 3.1. 178261297879.2 Work out 7494564 - 4868. 7489696 Subtract 318159613492 from -0.3. -318159613492.3 0.16+-13760.7534374 -13760.5934374 What is 14 plus -1689.5634227? -1675.5634227 Put together -0.050692403 and 42.35. 42.299307597 What is 4374809302 less than -213? -4374809515 What is 34484383 + 8.66? 34484391.66 Work out -22627384717829 + 0.05. -22627384717828.95 Sum 114797.68217 and 4.4363. 114802.11847 Work out 5 + 103263676514. 103263676519 0.0162613 - 98143283 -98143282.9837387 4+-10076465756.82 -10076465752.82 Work out 104483866 - -10.63146. 104483876.63146 What is the difference between -0.19937 and -46553678759? 46553678758.80063 Calculate -230.69 - 13070319. -13070549.69 What is 1744 minus 63656420? -63654676 Total of -7.62313 and -1083729298. -1083729305.62313 Work out 136.9776 - -27064132. 27064268.9776 What is the distance between -19 and 2.3766473996? 21.3766473996 Sum 6001973183264 and 5. 6001973183269 What is -2.18 less than 397593016475? 397593016477.18 What is -31950959704 plus -9? -31950959713 Calculate 9013 - 11738130. -11729117 What is 9 plus 17310666954292? 17310666954301 Sum 12111349.85 and 1.9. 12111351.75 What is -286.19671196 + 0.33885? -285.85786196 What is the difference between 2.255498549092 and -29? 31.255498549092 What is 0.04703853 + -4875815? -4875814.95296147 What is -28410050556 plus 444.6? -28410050111.4 Work out -300344716 - -2759. -300341957 Subtract 54951 from 6356277. 6301326 Subtract 37 from -11189466043.707. -11189466080.707 Add together -0.8 and -106301741440.141. -106301741440.941 What is the distance between -999053744 and -38.14? 999053705.86 What is 73739 take away 6171701? -6097962 Calculate -167361299 - -7.45. -167361291.55 Sum 1.8 and -52340091.9827. -52340090.1827 Subtract 154093 from 0.116009. -154092.883991 Subtract -131.1 from -228777041. -228776909.9 What is -84955787255 less than -16797? 84955770458 What is 70296 + 125194750? 125265046 Add together -16858 and -196067341. -196084199 Sum 0.4 and 0.53265321045. 0.93265321045 Subtract -114170758 from 0.4402. 114170758.4402 Calculate -0.3 - 17011864295709. -17011864295709.3 Calculate 49962 - -127949077. 127999039 Put together -18483329796172 and 0.07. -18483329796171.93 Sum -1265644 and 35945. -1229699 Subtract 11642414833 from 70. -11642414763 -0.45180403603+-0.07 -0.52180403603 What is 142.655 - -1373749? 1373891.655 Sum 25803224 and 16.7. 25803240.7 Work out 5.8807246 - 0.061875. 5.8188496 -2 - 1320.6806458 -1322.6806458 Work out 97655023061 + 4. 97655023065 What is 0.5 - -277712360971? 277712360971.5 Calculate 5 - -1.00537902625097. 6.00537902625097 What is 33.7972 minus -673127? 673160.7972 8916.159432356+0.3 8916.459432356 What is -0.0095904004515 less than 527? 527.0095904004515 Work out -139093.665449 + 31. -139062.665449 Add together 276 and 3401376497326. 3401376497602 -0.06564430638057 - -3 2.93435569361943 What is -0.1696 - 28750435374? -28750435374.1696 What is 1974694274545353 minus -5? 1974694274545358 Sum -5424 and -1884.264804. -7308.264804 Work out -0.1 - 5776541974353. -5776541974353.1 What is -1084.7102 minus 25306? -26390.7102 -15599146654.809+-0.6 -15599146655.409 -48766 + -2.4022853 -48768.4022853 What is 0.04 plus -1.0248611018? -0.9848611018 Add together -1202987633538 and -8. -1202987633546 What is 0.0779608 take away 32568.52? -32568.4420392 Work out -14733136 - 1098772. -15831908 What is 5 minus -8137107980? 8137107985 Total of 2182415 and 30947. 2213362 What is 4.280731705 + 11? 15.280731705 What is the difference between 8.61416967653225 and 1? 7.61416967653225 Total of 0.08 and 7171636.1101. 7171636.1901 Calculate 130675 - -257756.3. 388431.3 What is the distance between -0.113063 and -498017862? 498017861.886937 Calculate -2335807 + 964507. -1371300 What is 1.9 take away 2.22700006671? -0.32700006671 Work out -8410346 - 5958. -8416304 Total of 0.0821179664186 and 0.4. 0.4821179664186 What is the distance between -0.4 and 1.3815495820212? 1.7815495820212 Calculate -74 + -10268640954. -10268641028 Work out 0 + -0.717765247854. -0.717765247854 What is -0.36066 minus -70.19397024? 69.83331024 -7044 - 518845362 -518852406 What is -21671 minus 107176144.9? -107197815.9 Subtract -1732380 from 0.1034557. 1732380.1034557 What is the difference between 6 and -136074266989? 136074266995 What is -25.2 - -13747.326543? 13722.126543 What is -35652.1378 + -490.3? -36142.4378 Sum -5 and -54776119991136. -54776119991141 0.1 + -3068611.3596 -3068611.2596 Put together -2 and -8267527.47627. -8267529.47627 What is -0.4 less than 671605412160420? 671605412160420.4 What is 11932.17 + 2268825.8? 2280757.97 1.3674131+9.636 11.0034131 Work out -1 - 26300488390311. -26300488390312 Work out -2279450 - 34779298. -37058748 What is -9.102546 minus 67522? -67531.102546 What is -7415866 less than -10346335? -2930469 What is 17319405449 + 13? 17319405462 Calculate 3092233004721 - -2. 3092233004723 What is the difference between -1472719 and 0.51653? 1472719.51653 Calculate 64778444759.5 + 2.58. 64778444762.08 Total of 62607 and -4.3152811. 62602.6847189 Add -77570 and 0.03172370016. -77569.96827629984 What is 0.306 minus -3177500398? 3177500398.306 Add together 4733753 and 4025657. 8759410 Work out 66 - -1459038046262. 1459038046328 What is 7933576 less than 2622? -7930954 -39 - -13755403627938 13755403627899 Work out -368.0686267 - -340. -28.0686267 What is 2.8068 - 782929.749? -782926.9422 Calculate 33169.2431881 - -0.1496. 33169.3927881 What is -97 plus 17994.849694? 17897.849694 What is -81 minus -38038.42287? 37957.42287 What is 0.3 - -1451464383300? 1451464383300.3 What is 0.05 + -20772.312715? -20772.262715 What is 17078 less than 5.96012902? -17072.03987098 What is 0.4380006 plus -1112.21? -1111.7719994 Sum -0.5 and 17.2896038039. 16.7896038039 0.3358 -
{ "pile_set_name": "DM Mathematics" }
: 4}. What is prob of sequence hq? 2/33 Two letters picked without replacement from {w: 2, f: 3, l: 3}. What is prob of sequence wf? 3/28 Two letters picked without replacement from {q: 5, x: 3, a: 1, s: 4}. What is prob of sequence as? 1/39 Calculate prob of sequence wwjj when four letters picked without replacement from {j: 5, w: 2}. 1/21 Four letters picked without replacement from {s: 2, n: 2, k: 3, t: 2}. Give prob of sequence sstn. 1/378 Calculate prob of sequence cw when two letters picked without replacement from wccccwcwcc. 7/30 Three letters picked without replacement from kmroomrmmoorooozorom. What is prob of sequence rzo? 1/190 Calculate prob of sequence ubku when four letters picked without replacement from kkykbkybykukkyybyyyu. 7/19380 What is prob of sequence fsof when four letters picked without replacement from {t: 2, o: 1, s: 2, f: 2, h: 1}? 1/420 Calculate prob of sequence mmu when three letters picked without replacement from {m: 4, j: 1, u: 1, e: 1, a: 1}. 1/28 Two letters picked without replacement from xrxxxhmxrxxxxxfxx. What is prob of sequence fh? 1/272 What is prob of sequence zzsz when four letters picked without replacement from {d: 1, z: 4, b: 3, s: 12}? 4/1615 Three letters picked without replacement from lgggliigll. What is prob of sequence lll? 1/30 Four letters picked without replacement from apayppapaaaaagap. Give prob of sequence pggp. 0 Calculate prob of sequence aagg when four letters picked without replacement from {g: 2, a: 5}. 1/21 Two letters picked without replacement from {q: 1, r: 2, k: 2, u: 4}. Give prob of sequence ku. 1/9 Four letters picked without replacement from jhjlhjyjyjhylyyyy. Give prob of sequence jhjj. 3/952 What is prob of sequence kcz when three letters picked without replacement from cskksckzzkkzkzkkkkcc? 4/171 Calculate prob of sequence kk when two letters picked without replacement from {k: 12, l: 7}. 22/57 What is prob of sequence ezzz when four letters picked without replacement from eezzeze? 1/35 What is prob of sequence rr when two letters picked without replacement from {r: 12, w: 6}? 22/51 Calculate prob of sequence sm when two letters picked without replacement from {s: 11, m: 1}. 1/12 Calculate prob of sequence dh when two letters picked without replacement from udduhh. 2/15 Three letters picked without replacement from nniahjt. Give prob of sequence jnt. 1/105 Two letters picked without replacement from fnnfnnf. Give prob of sequence nf. 2/7 Four letters picked without replacement from ggfooatffgafgggtgag. What is prob of sequence taaa? 1/7752 Two letters picked without replacement from lcccccccccclclcccccc. What is prob of sequence lc? 51/380 Two letters picked without replacement from {l: 10, m: 4, r: 2}. Give prob of sequence rl. 1/12 Two letters picked without replacement from {b: 5, s: 2}. Give prob of sequence sb. 5/21 Three letters picked without replacement from {j: 1, w: 1, l: 1, u: 1, z: 2, k: 1}. What is prob of sequence jkl? 1/210 Calculate prob of sequence eo when two letters picked without replacement from yekoeykebeoeekeoyyo. 14/171 Three letters picked without replacement from {e: 2, i: 2, c: 2, d: 2}. What is prob of sequence eii? 1/84 Two letters picked without replacement from {y: 3, k: 5}. Give prob of sequence ky. 15/56 Two letters picked without replacement from lbblblblbl. What is prob of sequence lb? 5/18 What is prob of sequence cch when three letters picked without replacement from crrrchrchqhqhhr? 1/91 Three letters picked without replacement from annnnnnnqnnqnqnnnnnn. Give prob of sequence nan. 2/57 Two letters picked without replacement from gczaapcpfgafpap. What is prob of sequence zg? 1/105 Calculate prob of sequence qj when two letters picked without replacement from jjqjjjjqj. 7/36 What is prob of sequence qu when two letters picked without replacement from uudrueqdqzuur? 5/78 Calculate prob of sequence eje when three letters picked without replacement from jjjjjjjejjjeejj. 12/455 Calculate prob of sequence jjej when four letters picked without replacement from {h: 1, e: 2, p: 3, z: 3, j: 7, x: 2}. 7/1224 Calculate prob of sequence qaa when three letters picked without replacement from {t: 3, e: 1, f: 6, q: 1, a: 2}. 1/858 Four letters picked without replacement from {f: 2, c: 1, m: 1, p: 1, j: 1, r: 1}. What is prob of sequence jcfm? 1/420 What is prob of sequence okx when three letters picked without replacement from {o: 1, x: 1, k: 2, w: 1}? 1/30 Three letters picked without replacement from {s: 3, w: 7}. What is prob of sequence sww? 7/40 Calculate prob of sequence jbms when four letters picked without replacement from {s: 2, m: 1, b: 1, k: 1, q: 2, j: 1}. 1/840 Calculate prob of sequence ukdu when four letters picked without replacement from {k: 2, b: 1, u: 2, d: 1}. 1/90 Calculate prob of sequence ht when two letters picked without replacement from hhhthhhhhhhh. 1/12 Calculate prob of sequence anwi when four letters picked without replacement from nnwibanwnwbwwinnbw. 1/1020 Three letters picked without replacement from {o: 2, d: 10}. Give prob of sequence doo. 1/66 Two letters picked without replacement from zzzw. Give prob of sequence zz. 1/2 What is prob of sequence lb when two letters picked without replacement from {c: 4, l: 2, b: 2}? 1/14 Calculate prob of sequence uuiu when four letters picked without replacement from {u: 3, i: 1}. 1/4 Calculate prob of sequence hptt when four letters picked without replacement from ddhhpphdttthtddht. 5/1428 Calculate prob of sequence jgj when three letters picked without replacement from ejbbegbgj. 1/126 Calculate prob of sequence ik when two letters picked without replacement from kkekekikinhiiiiknn. 2/17 Two letters picked without replacement from uwwwswwefeeuwsuwnesu. Give prob of sequence ee. 3/95 Calculate prob of sequence dd when two letters picked without replacement from dyppfypgdgnd. 1/22 Four letters picked without replacement from ggiiggigigig. What is prob of sequence giii? 7/198 Two letters picked without replacement from {h: 1, m: 2, a: 1, o: 1}. What is prob of sequence ha? 1/20 Two letters picked without replacement from {x: 2, r: 2, q: 6, j: 3, m: 2}. Give prob of sequence qr. 2/35 What is prob of sequence ccf when three letters picked without replacement from {c: 2, w: 1, f: 2}? 1/15 What is prob of sequence evvx when four letters picked without replacement from evexv? 1/30 Calculate prob of sequence oq when two letters picked without replacement from oqquq. 3/20 Calculate prob of sequence qmqm when four letters picked without replacement from {q: 15, m: 4}. 35/1292 Calculate prob of sequence bfzy when four letters picked without replacement from yjybqzf. 1/420 Four letters picked without replacement from {e: 3, f: 3}. What is prob of sequence eefe? 1/20 Calculate prob of sequence rx when two letters picked without replacement from prxrzzz. 1/21 Three letters picked without replacement from xjvxbvxxxxzdddv. What is prob of sequence ddj? 1/455 What is prob of sequence rxv when three letters picked without replacement from {w: 2, r: 1, v: 1, e: 1, x: 2}? 1/105 Two letters picked without replacement from alxnd. Give prob of sequence dn. 1/20 Two letters picked without replacement from xhxhhx. What is prob of sequence xh? 3/10 What is prob of sequence zz when two letters picked without replacement from zzzll? 3/10 What is prob of sequence qw when two letters picked without replacement from {f: 3, q: 2, i: 4, w: 10}? 10/171 Three letters picked without replacement from jjppjjvjpppjuvjjn. Give prob of sequence nnp. 0 Two letters picked without replacement from {t: 1, f: 1, k: 2, q: 1, l: 2, y: 2}. Give prob of sequence yq. 1/36 Calculate prob of sequence rrso when four letters picked without replacement from ssnnnonnornnnnnornns. 1/6460 What is prob of sequence gjj when three letters picked without replacement from {k: 3, j: 2, g: 1, r: 6}? 1/660 Two letters picked without replacement from {k: 3, r: 8}. Give prob of sequence kk. 3/55 What is prob of sequence jnp when three letters picked without replacement from jnjpnnnpjnnpn? 21/572 What is prob of sequence xvo when three letters picked without replacement from xuouvxuvxxv? 2/165 Two letters picked without replacement from mex
{ "pile_set_name": "DM Mathematics" }
p, 2*p = y - 26. Let v = -21 - -29. What is the highest common factor of v and y? 8 Let j = 9 + -5. Suppose -3*b - 192 = -j*b. What is the greatest common divisor of b and 24? 24 Let g(s) = s**3 - 2*s**2 + s + 2. Let c be g(3). Suppose -z = -4*z + 63. What is the highest common factor of z and c? 7 Let l = -167 + 95. Let s be (l/15)/((-2)/55). What is the highest common divisor of 12 and s? 12 Let w = 61 - 39. Calculate the greatest common factor of w and 198. 22 Let n = 143 - 138. Calculate the greatest common divisor of 5 and n. 5 Let m(v) be the third derivative of v**4/24 + 7*v**3/6 + 3*v**2. Let y be m(-3). Calculate the highest common factor of 12 and y. 4 Suppose 46 = 8*g - 7*g. What is the highest common divisor of 23 and g? 23 Suppose -15*u = -11*u - 20. Calculate the highest common factor of 45 and u. 5 Let o(n) = -n**3 + 6*n**2 - 4*n + 6. Let q be o(4). Calculate the greatest common divisor of 11 and q. 11 Let y be (-6)/(-4)*62/3. What is the highest common factor of y and 31? 31 Let b be ((-189)/(-18))/((-3)/(-6)). What is the greatest common factor of b and 63? 21 Suppose 0 = -5*i - 5*h + 135, -5*i - 3*h + 163 = 32. What is the greatest common divisor of 175 and i? 25 Let x(i) = 5*i - 8. Suppose 3*w + 7 = 4*b - 21, -2*b - 2*w + 14 = 0. Let p be x(b). Let m = 4 - 1. What is the greatest common factor of p and m? 3 Let x be ((2*-2)/(-2))/1. Suppose -4*o = x*q + 86, -67 = 5*q + 2*o + 116. Let h = q + 75. Calculate the highest common factor of 16 and h. 8 Let x = 10 - -1. What is the highest common factor of x and 1? 1 Suppose -4*t - 2*j + j = -24, -t + 5*j = -6. What is the greatest common factor of t and 54? 6 Let u be (-5)/(-1 + 2/3). Calculate the highest common factor of u and 15. 15 Let x be (43 - -9) + 1 + -1. Calculate the highest common factor of 13 and x. 13 Let f(i) = -3*i**3 - 4*i**2 + 3. Let o be f(-3). Let m = o + 57. Let t be (-15)/(-2)*4/2. Calculate the highest common divisor of m and t. 15 Let t(w) = 11*w**2 + w + 2. Let o = 10 - 8. Let i be t(o). What is the greatest common factor of i and 6? 6 Let t(h) = 3*h**2 + 1. Let s be t(-1). Suppose 3*w = -s*u + 56, -65 = -0*w - 5*w - u. What is the greatest common factor of 3 and w? 3 Suppose 0 = 4*x - 5*u - 2, 4 = -x + 3*u + 1. Suppose -53 = -3*k - z - 11, 5*k + 5*z - 60 = 0. Calculate the highest common factor of k and x. 3 Let r be (108/16)/((-3)/12). Let y be (r/(-15))/(15/50). Calculate the highest common divisor of 3 and y. 3 Let l(y) = y**3 - 4*y**2 - 4*y + 4. Let m = -3 + 8. Let i be l(m). Let o = 15 - i. Calculate the greatest common factor of 4 and o. 2 Suppose -3*q - 13 = -b, 0 = -5*b + 4*q + 46 + 19. Suppose 4*a - 113 = -b. Calculate the highest common factor of a and 5. 5 Suppose -5*g - 2*t = -0*g - 218, -93 = -2*g + 5*t. What is the greatest common divisor of 440 and g? 44 Let w be (-1)/((-68)/22 + 3). What is the highest common factor of w and 77? 11 Let t = -5 + 7. Let s be 33/t - 3/6. Calculate the highest common factor of s and 176. 16 Let h(p) = 2*p - 6. Suppose 2*a - 30 = -5*x, 2*x + 2*a + 2 = 5*x. Let k be h(x). Let i be (-1)/2 - (-103)/k. What is the highest common divisor of i and 34? 17 Let w = 42 + -33. Let q be -2*(-6)/(-8)*-6. What is the highest common divisor of w and q? 9 Suppose -4*p + 17 = -39. Suppose 2*h - 20 = -5*g, 4 + 1 = h. Let c = 23 - g. What is the highest common factor of p and c? 7 Let a = -136 - -166. What is the greatest common divisor of a and 10? 10 Let b(m) = m - 3. Let n be b(8). Let p be (-13 - -12)/((-1)/5). Calculate the greatest common divisor of n and p. 5 Let a = 13 + 0. What is the greatest common divisor of 52 and a? 13 Let v = -8 - -12. Suppose v*a - 480 = -h, 3*a - 2*h - 360 = -0*h. What is the highest common factor of a and 15? 15 Suppose -133 + 727 = 4*o + 3*m, 4*o - 2*m - 604 = 0. What is the greatest common factor of 15 and o? 15 Suppose -6*u + 73 = 49. Calculate the highest common divisor of u and 6. 2 Let d(h) = -h**3 + 7*h**2 + 22*h + 3. Let s be d(9). Calculate the highest common divisor of 312 and s. 39 Let f = -141 + 1207. Suppose 4*k - 802 = -3*h, -2*k + f = 4*h - 0*k. Let r be h/4 - (-2)/(-4). What is the greatest common divisor of 6 and r? 6 Suppose -1 - 15 = -4*s. Suppose 123 = 3*g + 3*l, -s*g + l = -3*g - 39. What is the greatest common factor of g and 10? 10 Let g(p) = p**3 - p**2 + p + 63. Let o be g(0). Calculate the greatest common factor of o and 18. 9 Let l = 50 - 29. Suppose 96 = q - 3*y, -4*q - q + 3*y = -432. What is the greatest common factor of q and l? 21 Let m = -2 - -4. Let v(p) = 2*p**3 + 2*p**2 - 2*p + 3. Let i be v(m). Let a = i - 12. Calculate the greatest common divisor of 44 and a. 11 Let r be 24/10 + (-6)/(-10). Suppose -3*y + 8*y + f = 90, r*y - 46 = f. Calculate the highest common factor of y and 119. 17 Let c be 1/1 + 18/2. Let s(x) = -3*x**3 - x**2 - x - 2. Let o(i) = i - 12. Let w be o(10). Let n be s(w). Calculate the highest common factor of n and c. 10 Let r = -100 - -135. Calculate the highest common factor of r and 105. 35 Suppose w - 4*w = -30. Let f be 13/26*(-1 - -189). Let y = 174 - f. What is the greatest common divisor of w and y? 10 Suppose -200 = -2*g + 98. Suppose 0 = -4*n + 375 + g. Suppose 4*y = n + 233. Calculate the greatest common factor of 13 and y. 13 Let x(q) be the first derivative of -3 + 2*q**2 + 10/3*q**3 - q. Let n be x(-3). Calculate the greatest common divisor of n and 11. 11 Let b(f) = f**2 - 4*f - 8. Let p(o) = o**2 - o - 1. Let i(q) = -b(q) + 6*p(q). Let u be i(-4). What is the highest common divisor of 18 and u? 18 Let w be 6/27 + 1864/36. Calculate the greatest common factor of 13 and w. 13 Suppose 23 = 4*w - 1. Suppose -2*y + 12 = 2. Let x(p) = 4*p + 4. Let b be x(y). Calculate the greatest common divisor of w and b. 6 Suppose 21 = 5*l + 1. Suppose 87 = l*y - 21. Let m(n) = n**3 + 6*n**2 + 7*n + 5. Let p be m(-4). What is the highest common divisor of p and y? 9 Suppose 10*h - 61 = 29. Calculate the highest common divisor of 207 and h. 9 Let x be (-72)/(-3)*1/2. Suppose 0*w = 4*w - 336. Calculate the greatest common factor of x and w. 12 Suppose 102 = -6*a + 462. Let q be (-10)/(-6) - 4/(-12). Let x(n) = 3*n**3 - 2*n**2 - n - 2. Let r be x(q). What is the highest common divisor of r and a? 12 Let z(l) = l**2 - l + 35. Let d be z(0). Calculate the greatest common factor of d and 14. 7 Let o be 2/6 + (-1924)/(-6). Suppose -5*j + o = -79. Let g(u) = u**2 + u - 4. Let h be g(3). What is the highest common factor of j and h? 8 Suppose 9*h + 0*h - 36 = 0. Calculate the greatest common factor of h and 8. 4 Suppose 0*r + 15 = -5*r. Suppose -5*l + 3*l = 0. Let p be 8 + (r - (-2 + l)). What is the highest common factor of 21 and p? 7 Let k = 21 - 19. What is the greatest common factor of k and 2? 2 Let z = -1 - -5. Let q be 2/z - (-775)/10. Suppose -r = -t + 8 + 22, 3*t + r = q. What is the greatest common divisor of t and 9? 9 Let g(d) = -d**2 - 6*d + 4. Let o be g(-6). Suppose o*t - 132 = t. Let n be 10/(-5)*(0 + -2). Calculate the highest common factor of t and n. 4 Suppose 2*v = -2*w - 6, -5*w = v + v. Suppose -w*l = l - 12. Suppose 3*g - l*t - 67 = 116, -3*g - t = -198. What is the highest common factor of g and 13? 13 Let m(y) = 0*y - 3 + 8 + y + 6*y. Let p be m(4). What is the highest common factor of 11 and p? 11 Let v(r) = -r**3 - r**2 + 2. Let u be v(0). Suppose -36 = -2*w - 0*w. Calculate the highest common factor of u and w. 2 Let o(b) = -15*b**3 + b**2 + 3*b + 2. Let g be o(-2). Calculate the highest common divisor of g and 15. 15 Suppose 2*z + 3 - 13 = 0, -5*i - z + 5 = 0. Let l be i - -1 - 0/(-2). Calculate the highest common divisor of l and 2. 1 Let b = -1 + 2. Let s = b - -21. Calculate the greatest common divisor of 33 and s. 11 Let w(z) = -28*z + 2. Let b be w(-2). Suppose -b = -5*p - 18. What is the highest common factor of p and 24? 8 Suppose 4*r + 0 = 24. Calculate the greatest common divisor of r and 48. 6 Let i be (26 - 25) + 35/1. Let u = 40 + 14. Calculate the greatest common divisor of i and u. 18 Let j = 316 + -91. Suppose 2*a - j = -a + 2*w, -3*a + 225 = -4*w. Calculate the highest common divisor of 15 and a. 15 Let j(d) = -d**3 - 6*d**2 + 3*d - 8. Let y be j(-7). What is the highest common divisor of y and 50? 10 Su
{ "pile_set_name": "DM Mathematics" }
iple of 30 and j? 60 Suppose -4*q = 5*v - 6627, 2114 = 4*v - 2*q - 3172. Suppose 139*t - 160*t = -v. What is the smallest common multiple of t and 9? 63 Calculate the smallest common multiple of 40 and 290/8*(-1616)/(-101). 1160 Let a(t) = 91*t**2 + 2*t + 1. Let d(v) = -8*v**3 - 97*v**2 - 21*v - 94. What is the lowest common multiple of d(-12) and a(-1)? 630 Let n = 57/40 - 171/20. Let v be (-103494)/14*(-4)/72. Let c = -2974/7 + v. What is the common denominator of n and c? 24 Let d = 1802731/8 + -225348. Let b = -8797 - -4891. Let j = 31183/8 + b. Find the common denominator of j and d. 8 Calculate the common denominator of ((-156)/(-21))/((-285)/(-19)) and 62/105. 105 Let u(h) = h**2 - 7*h. Calculate the lowest common multiple of u(10) and 117. 1170 Let j = 1/1218691 - 3556140611/332702643. Let x = -211/21 - j. What is the common denominator of -86/15 and x? 195 Let f(v) = -v**3 + 10*v**2 + 5*v - 52. Let p be f(10). Find the common denominator of 278/(-24) - 2/8 and (p/(-12))/((-342)/(-836)). 54 Suppose 2*v + 230 = 4*z, 3*v = -4*z - 2*v + 209. Suppose 5*b - 60 = -2*o, -4*b + 2 = o - 49. Calculate the least common multiple of z and b. 56 Suppose -6*g + 421 = -53. Suppose c + 60 = -g. Let v = 1979/14 + c. Calculate the common denominator of v and 23/2. 14 Let y be (-106)/(-15)*(17 - -3). Let g = -255 + y. Let z = 116 + g. Find the common denominator of -43/3 and z. 3 Let z(y) = 3*y - 37. Let r be z(13). Suppose -3*a - i + 12 = 0, 5*i = -2*a - r + 23. What is the lowest common multiple of a*((-16)/(-5) + 2/(-10)) and 7? 63 Let o = 5173 + -3337. Calculate the lowest common multiple of o and 54. 1836 What is the smallest common multiple of 1160 and (-464)/10*(99/(-6) + (-32)/(-8))? 1160 Suppose -32*c + 108964 = -159420. Let i be 251527/(-30) + -1 + 1. Let u = i + c. Find the common denominator of u and -73/15. 30 Let u = 2/1362141 + 2202859/74766406. Find the common denominator of -6/7 and u. 31122 Let j(x) = 6*x**2 - 4*x + 18. Suppose -300 = -5*b - 3*q, -3*q - 203 + 23 = -3*b. Suppose 0 = -13*p + 8*p + b. What is the least common multiple of j(-3) and p? 84 Let w = 32 - 36. Let s be (-2)/(-4) + 74/w. Calculate the common denominator of (-12)/36 - 19/s and 75/28. 252 Let w = -988144/535 + 1847. Let z = w + 2643/17120. Calculate the common denominator of -61/16 and z. 32 Suppose 7*q - 9*q + 10 = -4*h, 2*q = 2*h + 2. Calculate the common denominator of -133/48 and 2050/(-540) + 6 + h. 432 Let k = 20 + -14. Let h be (-1 + k/12)*(9 - -1). Find the common denominator of (-17)/(-2) - (-4)/(h - -1) and 69/22. 22 Let c = 5/5096 + 280145/137592. Suppose -8*r + 234 = -21*r. Find the common denominator of c and 1/(-12)*(-228)/r. 54 Let n(g) = -53*g**3 - 3*g**2 + 3*g - 1. Let x be n(1). What is the common denominator of (-6)/(-16)*6/x*-41 and 2/33? 264 Calculate the common denominator of (19/(-4) - (-1)/(-4)) + (-21646)/(-3160) and 101/1420. 1420 What is the common denominator of -18/17 and 1*-14*(-7)/196*(0 + 0)? 17 What is the common denominator of -67/291 and ((-3 - -2)/168)/(1869/(-45212))? 85554 Let x = 444854 + -702869229/1580. What is the common denominator of x and -19/12? 4740 Let d(o) = o**2 - 52*o - 81. Let k be d(54). Suppose 0 = -k*f + 24*f + 45. What is the lowest common multiple of f and 50? 150 Let l = 143553 + -128623475/896. Find the common denominator of 77/4 and l. 896 Suppose -2*r - 151*z + 142*z = -1110, -5*r = 3*z - 2775. What is the lowest common multiple of r and 87? 16095 Let w be (-8 - 44)*4/(-8). Calculate the smallest common multiple of (-1 + w/10)*(-1 + 16) and 28. 168 Let r = 1666681/770 - -199/70. Let m = 43453/99 - r. Let d = m - -1721. Find the common denominator of d and -73/6. 18 Suppose u = n + 9 - 56, 197 = 4*n - u. Suppose 59*x - 189 = n*x. Calculate the smallest common multiple of 7 and x. 21 Let r be 0/47*(-1)/(-6). Suppose r = 5*a - 2*a - 3*k - 72, 0 = -3*a - 4*k + 93. What is the lowest common multiple of 33 and a? 297 Let g = -32 + 92. Suppose 7*d - 4*d = g. What is the least common multiple of 45 and d? 180 Let p(t) = -81*t**3 + t**2 + 2*t + 1. Let r be p(-1). Suppose -5*l - 164 + 524 = 0. Let x = r - l. Calculate the least common multiple of x and 5. 45 Calculate the common denominator of (-2)/(-6)*2 + (-277)/492 and -93/64. 2624 What is the common denominator of -23/6432 and -7*5/(-6)*1647/(-1220)? 6432 Let i = 423534 + -2541343/6. Let f(d) = d**3 - d**2 - 4693. Let a be f(0). Let h = a + 178313/38. Find the common denominator of i and h. 114 Let b = 790279407 - 14228980732299/18005. Let g = b + -9/554. Calculate the common denominator of g and -5/78. 390 Let h = 296437/50 - 5927. Let w = -364157/22 - -16553. Find the common denominator of h and w. 550 Let v be ((-5)/(0 - 30))/(1/55229). Let n = v + -9180. Calculate the common denominator of n and -67/98. 294 Suppose -158827*p + 648 = -158800*p. What is the lowest common multiple of 4356 and p? 8712 Calculate the common denominator of -7/9 and 51*(-4)/(-178968)*(3 - (-35)/(-5)). 67113 What is the common denominator of 1449217/(-148995) + (-6)/(-10) - -9 and -27/473? 4257 Let d(u) = -2*u + 2 - 5 - 2*u - 3*u - u**2. Let m be d(-5). Suppose 4*h = 3*y + 53, -y + 71 = -2*h + m*h. What is the lowest common multiple of h and 12? 84 Calculate the common denominator of -11/222 and (1/(-21))/((-110)/7150). 1554 Let c be -13 + -2 - (0 + 1). What is the common denominator of (-10)/c*114/9 and (-240)/(-3328)*(-5)/(-30)*88? 156 Let y(z) = -z - 8. Let s be y(-7). Suppose -3*k - 18 = -2*r, -93*k + 98*k - 27 = -3*r. Calculate the smallest common multiple of r and (42/12)/(s/(-6)). 63 Suppose 10*k - 7*k = 24. Suppose -c + k = c. Suppose -4*s = 5*w - 93, -5*s + 2*w + w = -107. What is the least common multiple of s and c? 44 Suppose 0 = 81*y - 82*y + 7, -3*f + 2*y + 3088 = 0. What is the least common multiple of 1222 and f? 13442 Let c = -11950 - -19496. What is the smallest common multiple of c and 2058? 22638 Suppose 0 = 12*b + 5*b - 102. Calculate the lowest common multiple of 16 and 3*(-4 + 34/b). 80 Let b be 74/2*-4*(-91)/(-338). Let j = b - -2731/78. What is the common denominator of (-10)/30*(-534)/8 and j? 12 Calculate the lowest common multiple of ((-99)/(-4))/(201/1072) and 22. 132 Let a(g) = -227*g - 307. What is the lowest common multiple of a(-9) and 20? 8680 Let s = 7 + -1. Suppose -46*h + 47*h + 3 = 3*y, 36 = 5*h + 2*y. Calculate the smallest common multiple of s and h. 6 Let v be (-45379)/(-6064) + 184 + -190. Let k = -42355873/379 + 111757. Let m = v + k. Calculate the common denominator of m and 81/44. 176 Find the common denominator of -47/6 and 11591/(-1935) + (0 + 8 - 6/3). 3870 Let a(s) = s**3 - 10*s**2 + 16*s + 6. Let b be a(8). Suppose f - 13 = w, 2*w - 36 = -2*f + b*w. Calculate the lowest common multiple of f and 20. 40 Let d = -19239293/114 - -168767. Find the common denominator of d and -9/20. 1140 Let c be (2 - -2)*16/8. Suppose m = c + 1. What is the smallest common multiple of 33/(-2)*44/(-66) and m? 99 What is the common denominator of -49/330 and (4949/4312)/((-18)/8)? 990 Let c be (576/12)/((-6)/4). Let f = 5/5053 - -550707/70742. Calculate the common denominator of f and (6/c)/(33/(-1111)). 112 Let b(w) = 4*w**2 + 9*w. Let z be b(1). Let o(r) = 9*r - 87. What is the lowest common multiple of o(z) and 33? 330 Let f = 6874/165 - 667/20. Let y = f - 74/11. Let u = -20801 + 415927/20. What is the common denominator of u and y? 60 Suppose -k = -3*l - 452 - 516, 5*k - 2*l - 4827 = 0. What is the lowest common multiple of k and 8? 7720 Suppose -55*d + 2690 = 1390 - 3100. What is the lowest common multiple of 1120 and d? 1120 Let f(a) = 67*a - 47*a - 41*a + a**2 - 24. What is the least common multiple of 26 and f(23)? 286 Let w be 7590/(-90) - 4/6. What is the common denominator of -75/14 and ((-2)/w)/((-8)/530)? 238 Calculate the common denominator of (237/(-2528))/(3/89) and ((-186)/(-10))/((-112)/(-10)). 224 Let o be (4/3)/(10 - (-3036)/(-306)). Suppose -o*m - 9*m + 442 = 0. Let x = 12 - 6. What is the least common multiple of m and x? 102 Let b = -18385693/120 - -153213. Find the common denominator of b and -33/80. 240 Find the common denominator of (-4)/18 - (-593)/(-126) and (12 - (6 - 3)) + 28*1967/(-6104). 1526 Let x(z) = -3*z - 44. Let m b
{ "pile_set_name": "DM Mathematics" }
et o = -54 - -60. Let g be x(o). Suppose -20 = 5*u, 0*u + 20 = g*k + 5*u. Calculate the remainder when k is divided by 5. 0 Let v = 316 + -355. Let y = 58 + v. What is the remainder when 586 is divided by y? 16 Let l(j) = -5*j**2 - 23*j + 14. Let w be l(-5). Calculate the remainder when ((w - 1)/(-1))/(9/(-48)) is divided by 7. 2 Suppose 106*s = 113*s - 343. Calculate the remainder when 1077 is divided by s. 48 Let t = 158 + -158. Suppose -3*f - 4*x + 2 = t, 2*f - 12*x + 14*x - 2 = 0. What is the remainder when 33 is divided by f? 1 Calculate the remainder when 728 is divided by 2/(((-26)/871)/(-1)). 58 Let d(w) = 1749*w - 10329. Calculate the remainder when d(6) is divided by 1/4 + (-139)/(-4). 25 Let g(u) = 318*u - 2191. What is the remainder when 322 is divided by g(7)? 7 Let u(q) = -q**2 + 6*q + 7. Suppose -4*j + 1976 = -3*m, m - j + 481 = -178. Let x = m - -712. Calculate the remainder when x is divided by u(5). 4 Suppose 46 = 4*v + 2*p, v - 5*p = -2*p + 1. Suppose 318 = -v*n + 16*n. What is the remainder when n is divided by 18? 17 Let x = 11 - 7. Let d(q) = q**2 - 19*q - 20. Let n(l) = -l**2 + 20*l + 20. Let a(k) = x*d(k) + 3*n(k). Calculate the remainder when a(18) is divided by 6. 4 Let m = 32 - 22. Let d(l) = 3*l**3 - 4*l**2 - 53*l + 213. What is the remainder when d(4) is divided by m? 9 Suppose -395 = -7*v - 38. Suppose -2*j + 36 = 2*j. Calculate the remainder when 6 - (-1702)/17 - 6/v is divided by j. 7 Suppose -173*h - 10449 = -26162 - 114383. Calculate the remainder when 1527 is divided by h. 23 Suppose -134 = 202*t - 203*t. What is the remainder when 413 is divided by t? 11 Let o(t) = -t**3 + 23*t**2 - 82*t + 4. Suppose 8*k - 53 + 13 = 0. Calculate the remainder when o(k) is divided by 9. 8 Let b = 1848 - 1536. What is the remainder when b is divided by 42? 18 Let q(l) = -71*l**3 + 2*l**2 - 2*l + 1. Let i be q(1). Suppose 5*t = j + 22, -73*j + 74*j = -t - 46. Calculate the remainder when 19 is divided by j/i + 44/10. 4 Let k = 49 - 43. Calculate the remainder when 1220/23 - (-169)/(-3887) is divided by k. 5 Suppose -4 = -5*d + 6. Let q = 551 + -383. Suppose -d*a = -5*a - 3*p + q, p = 2*a - 121. What is the remainder when a is divided by 10? 9 Calculate the remainder when 1963 is divided by 1557/21 - (-56)/(-49). 65 Let q(x) = 2*x + 39. Let d be q(-17). Suppose -49 = -2*g - j - 2*j, -g - d*j = -42. Suppose 9*m - 8*m = g. Calculate the remainder when 31 is divided by m. 14 Suppose 0 = 20*l - 19*l - 3768. Calculate the remainder when l is divided by 26. 24 Suppose 4*f - 1335 = -3*t, -30 = t - 31. Calculate the remainder when f is divided by (15/10)/(3/112). 53 Suppose 36 = 2*m + w, 3*m + 2*w - 3*w - 44 = 0. Suppose -52*x - 1752 = -58*x. Let s = 338 - x. Calculate the remainder when s is divided by m. 14 Let h be 72/(-396) - 97/11. Calculate the remainder when (-318)/h + (1 - 2/6) is divided by 11. 3 Let u = 1362 + -1993. Let v = u - -692. What is the remainder when 180 is divided by v? 58 Let d = 507254 + -507132. Suppose 5*x - 11 - 44 = 0. What is the remainder when d is divided by x? 1 Suppose -505 = 3*m - 1831. Let r = m - 265. Calculate the remainder when r is divided by 20. 17 Let p be ((-32)/(-48))/((-1)/(-9)*-1). Suppose -2*t - 3*j - 49 = -3, -30 = t - 2*j. Let a = p - t. What is the remainder when a is divided by 11? 9 Let a(v) = -19*v + 34. Let u(g) = -20*g + 34. Let f(z) = -5*a(z) + 4*u(z). What is the remainder when 281 is divided by f(7)? 68 Let p be (15/(-9))/5 + (-8)/3. Let l(z) = 15*z + 31. Let w(n) = -16*n - 30. Let g(u) = -3*l(u) - 2*w(u). What is the remainder when 94 is divided by g(p)? 4 Let k = -191221 + 191378. Calculate the remainder when k is divided by (12/(-1))/((-4)/6). 13 Let z = -168 + 20. Let d = -72 + 104. Calculate the remainder when d is divided by 7/21 - z/6. 7 Let b = 54 - -134. Suppose 0 = -0*p - 4*p + b. Let w = -62 - -70. What is the remainder when p is divided by w? 7 Suppose -16*t - 18*t - 3*t + 62826 = 0. What is the remainder when t is divided by 46? 42 Let f = 16 - 12. Suppose 8*t - 599 = -f*r + 3*t, -4*t + 760 = 5*r. Calculate the remainder when r is divided by 53. 50 Let i(k) = -k**2 - 33*k + 1373. Calculate the remainder when i(-51) is divided by 7. 0 Suppose 3*m - 6 = -5*n + 4*n, -n + 4 = 2*m. Let f = -21 + 76. Suppose 0 = -7*y + m*y + f. What is the remainder when y is divided by 6? 5 Suppose -2*m = 5*j - 60, 0 = -5*j + 3*m - 6 + 66. Calculate the remainder when 56*10/(-40) + 71 is divided by j. 9 Let v(i) = -i**2 + 18*i - 1. Suppose -135 = -13*k - 18. Calculate the remainder when v(k) is divided by 22. 14 Let m(l) = -48*l + 436. What is the remainder when 91 is divided by m(8)? 39 Let m(k) = 127449*k + 31 - 127449*k + 2*k**2. Calculate the remainder when m(-8) is divided by 81. 78 Suppose -3*t + 8 = 5*u + 3, -3*t + 4*u = -23. Suppose 3*z = 2*z - 3*f, -2*z - t*f + 4 = 0. What is the remainder when 142 is divided by z? 10 Suppose -5*p - 202 = -2*t + 32, -3*p + 351 = 3*t. Suppose -123*a + t*a = -1164. Calculate the remainder when a is divided by 3. 2 Let w be 45/(-2)*(-192)/36. What is the remainder when 143 is divided by (-3 + 8)*w/25? 23 Suppose 213 = 4*u - 59. Suppose 22*b = -36*b + 116. Suppose -f - 5*t = -u, 5*t = b*f - 0*f - 181. What is the remainder when f is divided by 22? 17 Suppose 4299*i + 636 = 4311*i. What is the remainder when 315 is divided by i? 50 Let i = -25 + 91. Suppose 3854 = -19*m + i*m. What is the remainder when m is divided by 5*(84/10)/2? 19 Suppose 42*n - 40*n = -8. Let o(i) = 11*i + 50. Calculate the remainder when o(n) is divided by 5. 1 Let d be (-1)/(1/73)*-1. Let q = -36 + d. Calculate the remainder when 146 is divided by q. 35 Suppose 0*z = -5*z + 15. Let j = 3 - -5. Suppose 5*g = -3*h + 3, 2 = 2*g - h - j. What is the remainder when g is divided by z? 0 Calculate the remainder when 13959/188 - 27/12 is divided by 34. 4 Suppose 0 = -21*u + 25 - 88. Calculate the remainder when 110 is divided by 75/(5 - 10)*u. 20 Suppose -855*k + 802*k + 5512 = 0. Calculate the remainder when 138 is divided by k. 34 Let q(r) = -22*r**2 + 3*r - 7. Let b(f) = -23*f**2 + 2*f - 6. Let y(s) = -3*b(s) + 2*q(s). Let h = -14 - -16. What is the remainder when y(h) is divided by 35? 34 Let q(f) = -75*f + 918. What is the remainder when q(5) is divided by 72? 39 Let s(w) = -w**2 - 547*w + 5619. What is the remainder when 1308 is divided by s(10)? 34 Suppose -5*b - 23*j + 25*j = -6530, b = -2*j + 1318. What is the remainder when b is divided by 649? 10 Let f = 367 - 235. Suppose 8*b - 1284 = -f. What is the remainder when b is divided by 37? 33 Suppose 304 = 14*a + 13*a - 209. What is the remainder when 332 is divided by a? 9 Suppose b + 103 = 2*l, 3*l = -2*b + 4*b + 157. Suppose -1230 = -5*m - j - 4*j, 5*m - 5*j - 1200 = 0. Calculate the remainder when m is divided by l. 47 Let h = 19897 + -18235. What is the remainder when h is divided by 1656? 6 What is the remainder when 6159 is divided by 481/(-259)*(8 - 1) + 39? 23 Suppose 66*i = 61*i + 2*m + 104, 7*m + 14 = 0. What is the remainder when 1678 is divided by i? 18 Let z = 213 + -182. Let m(u) = u**3 - 13*u**2 - 10*u - 48. What is the remainder when z is divided by m(14)? 7 Let y = 3412 + -3397. Calculate the remainder when 643 is divided by y. 13 Let t(i) = i**3 - 27*i**2 + 49*i + 44. Let v be 27 + -2 - -4 - 4. What is the remainder when 89 is divided by t(v)? 13 Suppose -5*h - 7 = -3*b, -3*b + b = -8. Let k(t) = -t**3 + 17*t**2 + 12*t + 6. What is the remainder when k(0) is divided by (-1 + 0)*(h + -6)? 1 Let i be (2 - 6/9)*816. What is the remainder when 1079 is divided by i/85 - 3/(15/4)? 11 Let w = 5 + 34. Let q = w + -27. What is the remainder when (-3)/2*(-2726)/87 is divided by q? 11 Let i(u) = u**2 - 2*u + 6. Suppose 3*o - 304 = -2*o - 3*d, 0 = o + 5*d - 74. Calculate the remainder when i(-12) is divided by o. 56 Let j(k) = -76*k - 3226. Calculate the remainder when j(-78) is divided by 16. 14 Suppose -o = 5*d - 150, 0 = 5*d - 2*o - 212 + 47. Suppose 0 = 4*p + 5*n + 32, n + 22 = -2*p - 3*n. What is the remainder when d is divided by (p/2)/((-87)/986)? 14 Calculate the remainder when -1*5*(-4630)/50 is divided by 0/(-103) + 0 + 58. 57 Suppose 0 = 4*t + 2*f - 4, -5*t + 0*t = 4*f + 1. Let x(m) = -m**3 + 4*m**2 + 3*m +
{ "pile_set_name": "DM Mathematics" }
of s(-9)? 5 Let t be (-1)/6 + (-26)/(-12). Let h = t - -2. Suppose 2*x = 2*v - 0*x - 14, h*v - 5*x = 31. What is the units digit of v? 4 Let l = -25 - -27. What is the units digit of l? 2 What is the units digit of 168/36*(7 + -1)? 8 Let d(f) = f**2 - 8*f - 6. Let r be d(9). Suppose r*x - 24 + 3 = 0. What is the units digit of x? 7 Let w(c) = -3*c**3 - 2*c**2 - 2*c - 1. Let o be w(-1). Suppose -s = -o*s + 46. What is the tens digit of s? 4 Let z(f) = 2*f**2 - 7*f - 6. Let k be z(6). Suppose -2 = 2*o - k. What is the units digit of o? 1 Let l = -18 + 37. What is the units digit of l? 9 Let h(n) = -11*n**2 + 7*n - 7. Let d(i) = 7*i**2 - 5*i + 5. Let r(j) = 8*d(j) + 5*h(j). Let x(o) = -o**2 + 7*o. Let z be x(6). What is the units digit of r(z)? 1 Let c = 90 - 64. Suppose 0 = 5*n + 2*y - 172, -2*n - 4*y + 82 - c = 0. What is the tens digit of n? 3 Let i = -3 - -3. Let c be (-10)/3*6/(-4). Let r = i + c. What is the units digit of r? 5 Suppose -11 = -2*v - 3. Let c(o) = -o + 7. Let t be c(v). Let x(u) = -u**2 + 4*u - 2. What is the units digit of x(t)? 1 Let z(d) = -d**3 - 5*d**2 - d + 8. Let t be z(-6). Let k = t - -4. Suppose -5*a - 4*i + k = 0, -3*a + 11 = 5*i - 11. What is the tens digit of a? 1 Let a(w) = -w**3 + 9*w**2 + 10*w - 10. Let v be a(9). Let h = v - 53. What is the units digit of h? 7 Let m = 17 + -37. Let r be m/(-9) - (-6)/(-27). Suppose -3*w = -5*w + r. What is the units digit of w? 1 Let a(q) = -q**3 + 7*q**2 - 7*q. Let p be a(6). Let g be p/(-3) - (-5 - 0). Let v(f) = f**2 - 8*f + 8. What is the units digit of v(g)? 1 Suppose -s - 3*f + 54 = 0, 2*s + 2*s = 2*f + 230. Suppose -2*j + s + 36 = 5*m, -3*m + 3*j + 39 = 0. What is the units digit of m? 7 Let s(w) = -w**3 + 5*w**2 + 4*w + 1. Let n be s(4). Let d = 10 - n. Let g = -11 - d. What is the units digit of g? 2 Let w(a) = 8*a + 4. What is the tens digit of w(1)? 1 Let d be (6/18)/((-1)/(-63)). Let y = -2 + d. Suppose -2*f + 0*b = -5*b - y, -f + 23 = 2*b. What is the units digit of f? 7 Suppose -1 = -4*w + 3. Suppose 0 = 5*f + w - 6. What is the units digit of f? 1 Let f be 4/(-18) + 2/9. Suppose -2*c + 5*n = -4, c - 2*n + 0*n - 4 = f. What is the units digit of c? 2 Let k = -19 + 13. Suppose 8*s = 3*s + 15, 14 = -5*z - 2*s. Let f = z - k. What is the units digit of f? 2 Let f be 2 - (2 - 4 - 1). Suppose f*i + 9 - 34 = 0. Suppose i*b = 2*b + 12. What is the units digit of b? 4 Let n = -8 + 16. Suppose -n*h = -4*h - 4. What is the units digit of h? 1 Let j(l) be the first derivative of 13*l**6/120 + l**4/24 - l**3/6 + 3*l**2/2 + 1. Let h(b) be the second derivative of j(b). What is the units digit of h(1)? 3 Let p(i) = 2*i**2 + 8*i - 1. What is the units digit of p(-5)? 9 Suppose 15*g = 17*g - 236. What is the tens digit of g? 1 Let v = 95 + -40. What is the tens digit of v? 5 Suppose -3*x + 24 = x. Suppose -3*q - 5*u = -65, -2*q + x*u + 85 = u. Suppose 0 = 3*f + 3*m - q, 0*m = 5*f + 4*m - 49. What is the units digit of f? 9 Let k = 4 + -2. Let i(u) = 6*u**2 - u + 2. Let v be i(k). Suppose 4*j = 2*o + v, 0 = -3*o - 0*o. What is the units digit of j? 6 Suppose 0 = -5*c - 0*c + 355. Let i = 115 - c. Suppose 2*t - 2*g = 20, 3*g - i = -5*t + 5*g. What is the units digit of t? 8 Suppose 6*m - 3 = 15. What is the units digit of m? 3 Let p(i) = -i**2 + 6*i - 5. Let s be p(6). Let y(b) = -2*b - 7. What is the units digit of y(s)? 3 Suppose 4*x = -5*v + 37, -7 = -v - 4*x + 10. Suppose z - 4 = 0, v*i - 149 = -5*z + 176. Suppose -t - 6 = -l + 5, 0 = 5*l + t - i. What is the units digit of l? 2 Suppose -4*u + 2 = -2*k - 4, 2*u - 2 = 2*k. What is the units digit of u? 2 Let w(u) = 4*u**3 - 2*u**2 + 4*u - 11. Let k(h) = -11*h**3 + 5*h**2 - 11*h + 32. Let o(c) = 3*k(c) + 8*w(c). What is the units digit of o(0)? 8 Let z(u) = u**2 - 11*u + 13. Let t be z(10). Let c = t + 39. What is the units digit of c? 2 Let g(w) = -21*w + 1. Let i be g(1). What is the tens digit of (22/8)/((-5)/i)? 1 Let z = -19 - 75. What is the units digit of z/(-8) + 1/4? 2 Let c = 8 - 6. Suppose -g + c*d = d - 27, 4*g = 5*d + 107. What is the units digit of g? 8 Let a(h) = 4*h - 3*h - 2*h. Let w be a(-4). Suppose -3*d + 30 = 4*o, -5 - 7 = -4*d + w*o. What is the units digit of d? 6 Suppose 2*b = -2*i + 32, 2*i + 0*b = 5*b + 67. Let m = i + -14. What is the units digit of m? 7 Let r(l) = l**2 - 11*l - 14. What is the units digit of r(-9)? 6 Suppose 41 = 3*d + 5*z, -5*d + 20 = -d - 2*z. What is the units digit of d? 7 Let x = -1 - -30. What is the tens digit of x? 2 Suppose -1728 = 3*d - 11*d. What is the units digit of d? 6 Let k be 4/10 - (-52)/20. Suppose q + 22 = 4*q + j, -q + 4 = -k*j. Let z = q + -1. What is the units digit of z? 6 Suppose 0 = -3*z + 2 - 14, -5*z - 8 = 3*a. Suppose a*n + 12 = h, -n - 2*h = -3*h + 6. Let u = 5 + n. What is the units digit of u? 3 Suppose -3*k + 14 + 3 = -2*i, -3*k - 2*i + 1 = 0. Suppose h + k*q = 0, 3*h - 3*q = -2 - 10. Let j = h - -5. What is the units digit of j? 2 Suppose 7*n - 4*n = 111. What is the units digit of n? 7 Let r(p) = -2*p - 5. Let y be r(-4). Suppose 2*s - 4*u - 2 = -4, -5*s - y*u = -21. What is the units digit of s? 3 Let m(x) = 2*x. Let b be m(2). Let c be 54/10 + b/(-10). Suppose 0 = -j - 3*u - 6, -c*j + 8 = u - 32. What is the units digit of j? 9 Let v(b) = b. Let p(u) = -6*u + 6. Let q(o) = -p(o) - 5*v(o). What is the units digit of q(9)? 3 Let s(l) = l. Let v be s(1). Suppose 0 = 3*t - 10 + v. Let k = t + 4. What is the units digit of k? 7 Let b = -47 + 90. What is the tens digit of b? 4 Let j(b) = b**2 + 4*b + 1. Suppose 2 = -3*v + 2*y + 2*y, v - 5*y - 14 = 0. What is the tens digit of j(v)? 1 Let s(t) = -t**3 + 7*t**2 - 4*t - 8. Let a = -22 - -36. Let f = -8 + a. What is the units digit of s(f)? 4 Suppose 0 = -3*v + 5*v - 6. Suppose -c + v*u = 7*u - 25, 2*c - 2*u = 20. What is the units digit of c? 3 Let t = 51 + -31. Suppose 0 = 5*b - 0*l - 3*l - 45, 5*b = -2*l + t. Suppose 2*p - b = -4. What is the units digit of p? 1 Suppose g = 3*d + 66, 3*d + 2 - 68 = -g. What is the units digit of g? 6 Let m(x) = 11*x. Let y be m(-1). What is the units digit of 4/(-3)*(y - -2)? 2 Let o(b) = -b**3 + 7*b**2 + 9*b - 3. Let h be 76/10 - (-6)/15. Let m be o(h). Suppose 4*x - 3 - m = 0. What is the units digit of x? 2 Suppose -2*d + 110 = 5*h, 4*h - 4*d = 23 + 65. What is the units digit of h? 2 Let y = 0 - -4. Suppose -2*t = -0 - y. What is the units digit of t? 2 Let b(s) = -s - 1. Let a be b(-4). Let z be (-5)/(-15) + (-1)/a. Suppose z = x - 0 - 1. What is the units digit of x? 1 Suppose -120 = -3*g - 3*v, 3*g - v - 151 + 51 = 0. Suppose -2*o + g = 3*o. What is the units digit of o? 7 Let s(c) = c**3 - 24*c**2 + 33*c + 5. What is the hundreds digit of s(23)? 2 Let k(l) = -8*l**3 - 2*l**2 - 2*l - 1. Suppose 4*q - 10 = 2. Let m be (q/((-3)/2))/2. What is the units digit of k(m)? 7 Let n(w) be the third derivative of 0 + 4*w**2 + 0*w - 1/6*w**4 - 5/6*w**3. What is the tens digit of n(-4)? 1 Let w be (-5)/((-2)/1 + 1). Suppose 3*a - 4 = w, -3*a - 131 = 5*f. What is the units digit of 94/14 + (-8)/f? 7 Let u = -10 - -15. Suppose 0 = -u*l + 14 + 11, 0 = -5*o + 5*l + 15. Suppose 7 = 5*t - o. What is the units digit of t? 3 Let c = 227 - 59. What is the tens digit of c? 6 Suppose 4*t + 3*u - 63 = 96, 5*u + 155 = 5*t. Suppose 0*z = -4*z + t. What is the units digit of z? 9 Let z(y) = y**3 + 8*y**2 - 11*y - 9. Let q(o) = -o**2 - 5*o - 3. Let t be q(-6). What is the units digit of z(t)? 9 Let n(r) = r + 1. Let v(x) = -x - 8. Let h be v(-7). Let o be n(h). Suppose o*y - 40 = -4*s - 4*y, 5*y - 14 = -s. What is the units digit of s? 9 Suppose 4*b = 6*b - 2. Suppose a = 5*s + 18, 3*a - 6 + 0 = 3*s. What is the tens digit of b + 9 - (0 + a)? 1 Let u(w) = 5*w + 3. Let a be u(3). Let n be (a/15)/(2/10). What is the units digit of (-18)/12*(-4)/n? 1 Let l(r) be the second derivative of -r**3/6 + r**2 - 2*r. Let g be l(4). What is the units digit of 8 + 0 + g/2? 7 Suppose 2*l + 35 = -5*b + 4*l, 2*b + l = -5. Let v = b + 8. What is the units digit of (2 + 2)/(-1 + v)? 2 Let c(v) = 5*v**3 + 0*v + 5*v**2 - 6*v**3 - v + 6. Let n be c(5). What is the units digit of (1/n)/(1/3)? 3 Let b(n) = -n**3 - 12*n**2 + 12*n - 9. Suppose 0 = -5*a + 3*o - 65, 5*a + 4*o + 51 + 14 = 0. What is the units digit
{ "pile_set_name": "DM Mathematics" }
3 (base 16) to base 12 3 -4 (base 9) to base 15 -4 Convert -10101000 (base 2) to base 16. -a8 201 (base 3) to base 15 14 Convert -10 (base 3) to base 2. -11 What is -2 (base 6) in base 8? -2 What is -36 (base 7) in base 2? -11011 6 (base 10) to base 2 110 310 (base 7) to base 8 232 What is 22 (base 3) in base 7? 11 1 (base 5) to base 4 1 Convert -3d (base 14) to base 3. -2001 -242 (base 6) to base 13 -77 What is 0 (base 7) in base 4? 0 3 (base 16) to base 6 3 -100 (base 7) to base 14 -37 What is 10a (base 11) in base 6? 335 What is -33 (base 6) in base 15? -16 Convert -65 (base 16) to base 13. -7a Convert 42 (base 7) to base 6. 50 Convert -2 (base 11) to base 4. -2 Convert 11110001 (base 2) to base 6. 1041 What is 3 (base 8) in base 12? 3 103 (base 8) to base 13 52 What is -55 (base 15) in base 3? -2222 What is -1 (base 4) in base 2? -1 -53 (base 11) to base 16 -3a What is 36 (base 11) in base 9? 43 3 (base 8) to base 6 3 -2211 (base 3) to base 11 -6a What is 102 (base 3) in base 8? 13 -401 (base 6) to base 10 -145 Convert 5 (base 14) to base 8. 5 Convert 1 (base 11) to base 16. 1 -9a (base 11) to base 8 -155 What is 101 (base 8) in base 16? 41 Convert 10012 (base 3) to base 10. 86 Convert 3 (base 5) to base 8. 3 -33 (base 5) to base 14 -14 What is 11 (base 4) in base 15? 5 -100 (base 6) to base 4 -210 Convert 1113 (base 5) to base 13. c2 Convert 12 (base 9) to base 16. b -16 (base 16) to base 14 -18 Convert 3 (base 14) to base 16. 3 Convert 87 (base 16) to base 14. 99 What is -320 (base 4) in base 15? -3b Convert -112 (base 8) to base 11. -68 What is -1111 (base 3) in base 12? -34 Convert -4 (base 8) to base 3. -11 Convert -1 (base 11) to base 15. -1 3 (base 9) to base 3 10 Convert -1 (base 12) to base 16. -1 Convert 100011 (base 2) to base 12. 2b -3 (base 16) to base 2 -11 11 (base 3) to base 6 4 What is 66 (base 16) in base 7? 204 -2 (base 9) to base 5 -2 What is -102 (base 4) in base 10? -18 Convert 1 (base 9) to base 14. 1 Convert 3 (base 10) to base 14. 3 Convert -154 (base 15) to base 13. -1a5 -520 (base 6) to base 7 -363 Convert 120 (base 5) to base 3. 1022 Convert 133 (base 5) to base 12. 37 Convert 24 (base 12) to base 14. 20 Convert 200 (base 3) to base 13. 15 What is -3 (base 4) in base 3? -10 Convert -3 (base 7) to base 3. -10 What is 5 (base 14) in base 10? 5 What is -7 (base 14) in base 10? -7 Convert -2 (base 11) to base 16. -2 122 (base 3) to base 11 16 What is 2 (base 13) in base 11? 2 -100 (base 6) to base 10 -36 What is 4 (base 10) in base 15? 4 What is -12002 (base 3) in base 4? -2021 What is -37 (base 10) in base 4? -211 Convert 0 (base 4) to base 7. 0 What is 0 (base 12) in base 6? 0 What is 74 (base 14) in base 15? 6c What is -13 (base 9) in base 2? -1100 What is -2 (base 3) in base 11? -2 What is 21 (base 3) in base 6? 11 -25 (base 8) to base 9 -23 What is 4 (base 12) in base 3? 11 -d (base 16) to base 8 -15 What is a (base 16) in base 8? 12 0 (base 16) to base 13 0 What is -65 (base 9) in base 15? -3e What is 10 (base 8) in base 16? 8 84 (base 12) to base 2 1100100 What is -111 (base 7) in base 6? -133 What is -4 (base 14) in base 3? -11 What is 222 (base 5) in base 4? 332 Convert 103 (base 12) to base 16. 93 Convert 13 (base 5) to base 11. 8 Convert 0 (base 6) to base 12. 0 -11 (base 8) to base 12 -9 -1112 (base 4) to base 9 -105 What is 155 (base 7) in base 3? 10022 What is 5 (base 11) in base 8? 5 Convert -21020 (base 3) to base 12. -143 0 (base 15) to base 3 0 What is 128 (base 10) in base 2? 10000000 11100 (base 2) to base 5 103 Convert -1220 (base 3) to base 15. -36 -1 (base 4) to base 12 -1 Convert 50 (base 13) to base 7. 122 What is 10 (base 2) in base 14? 2 211 (base 5) to base 4 320 Convert -2 (base 13) to base 6. -2 What is -91 (base 13) in base 4? -1312 2 (base 8) to base 11 2 -22 (base 9) to base 8 -24 64 (base 14) to base 2 1011000 -15 (base 12) to base 5 -32 -320 (base 7) to base 9 -188 20 (base 7) to base 3 112 226 (base 12) to base 15 163 Convert -102 (base 4) to base 11. -17 What is -100001 (base 2) in base 8? -41 2121 (base 4) to base 13 ba What is 3 (base 14) in base 8? 3 Convert -21 (base 11) to base 16. -17 cb (base 14) to base 5 1204 -144 (base 8) to base 5 -400 13 (base 7) to base 14 a What is -4 (base 14) in base 9? -4 What is -1211 (base 5) in base 14? -cd Convert -107 (base 8) to base 13. -56 What is 3 (base 4) in base 3? 10 What is 3 (base 6) in base 12? 3 -233 (base 7) to base 10 -122 Convert -2 (base 3) to base 11. -2 -72 (base 9) to base 12 -55 -7 (base 15) to base 4 -13 1 (base 3) to base 12 1 What is 11 (base 7) in base 3? 22 Convert 1 (base 16) to base 5. 1 Convert 2 (base 10) to base 6. 2 Convert 50 (base 12) to base 5. 220 9a (base 12) to base 13 91 Convert -11 (base 12) to base 10. -13 -4 (base 7) to base 4 -10 Convert 24 (base 13) to base 7. 42 11 (base 16) to base 3 122 -1033 (base 6) to base 10 -237 -1 (base 7) to base 6 -1 36 (base 10) to base 9 40 What is 407 (base 9) in base 8? 513 Convert 5 (base 8) to base 16. 5 What is 100 (base 5) in base 4? 121 What is -18 (base 9) in base 3? -122 Convert 1121 (base 3) to base 13. 34 What is -53 (base 6) in base 10? -33 What is -2 (base 8) in base 14? -2 Convert -b8 (base 13) to base 5. -1101 25 (base 6) to base 14 13 Convert d0 (base 15) to base 4. 3003 41 (base 7) to base 8 35 What is 1011 (base 2) in base 4? 23 What is -1 (base 7) in base 8? -1 Convert -7 (base 10) to base 13. -7 What is -2 (base 14) in base 16? -2 -86 (base 16) to base 4 -2012 -20 (base 3) to base 9 -6 Convert 4 (base 9) to base 16. 4 -b (base 12) to base 9 -12 1 (base 3) to base 14 1 What is 2 (base 12) in base 11? 2 151 (base 12) to base 16 cd What is 1013 (base 4) in base 11? 65 What is -61 (base 8) in base 2? -110001 8 (base 14) to base 13 8 Convert -11 (base 5) to base 15. -6 What is -3a (base 15) in base 9? -61 Convert -3 (base 7) to base 3. -10 -1a (base 11) to base 14 -17 Convert 2 (base 6) to base 8. 2 -100010111 (base 2) to base 9 -340 What is b (base 15) in base 6? 15 What is -2 (base 10) in base 5? -2 What is 4 (base 5) in base 8? 4 What is -11 (base 15) in base 2? -10000 -59 (base 10) to base 8 -73 Convert 16 (base 16) to base 3. 211 Convert -2 (base 6) to base 2. -10 -302 (base 5) to base 14 -57 Convert -111 (base 10) to base 16. -6f 6 (base 7) to base 10 6 -107 (base 10) to base 12 -8b Convert -4 (base 7) to base 15. -4 Convert 0 (base 14) to base 11. 0 -6 (base 11) to base 16 -6 4 (base 7) to base 13 4 What is -12 (base 7) in base 16? -9 What is -103 (base 6) in base 15? -29 What is -15 (base 12) in base 9? -18 Convert 201 (base 4) to base 9. 36 What is 0 (base 13) in base 15? 0 -32 (base 6) to base 9 -22 Convert -3 (base 12) to base 13. -3 Convert 34 (base 12) to base 10. 40 What is 27 (base 10) in base 9? 30 What is -3 (base 16) in base 6? -3 Convert 1 (base 4) to base 13. 1 Convert 1 (base 7) to base 13. 1 What is -1001100 (base 2) in base 7? -136 324 (base 7) to base 11 140 -2121 (base 3) to base 9 -77 Convert 1d (base 16) to base 6. 45 Convert -34 (base 5) to base 11. -18 What is -1000011 (base 2) in base 13? -52 Convert -8 (base 11) to base 12. -8 Convert -cb (base 13) to base 4. -2213 -5 (base 8) to base 5 -10 -2 (base 8) to base 5 -2 -2 (base 8) to base 7 -2 -27 (base 15) to base 9 -41 -a (base 15) to base 7 -13 What is -4 (base 11) in base 3? -11 What is -102 (base 5) in base 3? -1000 Convert 13 (base 8) to base 7. 14 Convert -3 (base 13) to base 9. -3 28 (base 11) to base 3 1010 -69 (base 12) to base 9 -100 32 (base 4) to base 14 10 Convert 7 (base 9) to base 16. 7 What is 2b (base 14) in base 8? 47 What is 15c (base 14) in base 6? 1142 What is 1a (base 14) in base 16? 18 -1 (base 2) to base 15 -1 What is -174 (base 9) in base 12? -104 -32 (base 13) to base 8 -51 3 (base 9) to base 6 3 What is 1a0 (base 11) in base 9? 276 What is 102 (base 5) in base 3? 1000 What is 15 (base 12) in base 9? 18 Convert 110 (base 3) to base 7. 15 0 (base 8) to base 11 0 Convert 0 (base 3) to base 12. 0 Convert -5 (base 12) to base 9. -5 What is 1100 (base 2) in base 7? 15 71 (base 14) to base 6 243 What is 244 (base 7) in base 13? a0 Convert -2 (base 15) to base 16. -2 153 (base 8) to base 14 79 Convert -22 (base 7) to base 9. -17 Convert -70 (base 16) to
{ "pile_set_name": "DM Mathematics" }
*28. Suppose 2*o = 2*g - y, 0*o + 4*o - 3*g = -7871. Round o to the nearest 100. -2000 Let i(a) be the second derivative of -19*a**3/6 + 3*a**2/2 - 2*a. Let c be i(5). Round c to the nearest ten. -90 Let m = -2215.92537 - -2196.927. Let v = m - -19. What is v rounded to 4 decimal places? 0.0016 Let w = -19224.87 - -19148. Let j = 78 + w. What is j rounded to 1 dp? 1.1 Suppose 3*p = 1062 - 228. Suppose -4*q + p = 2*d, 0 = -d - 2*d + 3*q + 381. Let j be (-1)/(-4) - d/(-4). Round j to the nearest ten. 30 Let c = -0.03 - 0. Let v = 0.02999989 + c. Round v to seven dps. -0.0000001 Let o = -540.29 + 532. Let g = -32.59 - -32. Let j = g - o. What is j rounded to the nearest integer? 8 Let h = -147870439 + 147870436.30000019. Let x = -33 + 35.7. Let l = x + h. Round l to seven dps. 0.0000002 Suppose 3*v + 0*v - 273000 = 0. What is v rounded to the nearest 10000? 90000 Let q = -12.09732 + 12.1. Round q to 4 decimal places. 0.0027 Let s = 16.99999987 + -17. What is s rounded to 7 dps? -0.0000001 Let r = -7 + 6.72. Let u = r - -0.313. Round u to two decimal places. 0.03 Let s be 1/4 - (-188)/16. Suppose 4*i = -2*h - s, h - 12 = -h + 4*i. Suppose -2*n - n + 690 = h. What is n rounded to the nearest one hundred? 200 Suppose -316 = -0*v + 4*v. Let l be -3 - -61*(v + 2). What is l rounded to the nearest 1000? -5000 Let j = -310.63 - -294.637. Let i = -13.4 - 2.6. Let l = i - j. Round l to two dps. -0.01 Let j = -9.49864 + 9.5. What is j rounded to 4 decimal places? 0.0014 Let g(t) = -1498*t - 16. Let l be g(8). What is l rounded to the nearest ten thousand? -10000 Let n = -0.2 + 0.2. Let s = n - 0. Let h = s - 0.0008. Round h to three decimal places. -0.001 Let u be 4/(-8)*-74 - 4. Round u to the nearest 10. 30 Let p = 22 - 22.000056. What is p rounded to 5 decimal places? -0.00006 Suppose -3*l - 1676 = -5*l. Let r be l - 0 - (-4 - -2). Round r to the nearest 100. 800 Let d = -3 + 3. Suppose d + 6 = 3*k. Let r be (-20998)/(k/2) + -2. What is r rounded to the nearest 10000? -20000 Suppose 0 = -0*s + 5*s - 645. Let y = -73 + s. Let p be 6/((-174)/y - -3). What is p rounded to the nearest 10? -60 Let q(u) = -15201*u - 5. Let b(w) = -w + 2. Let k be b(-7). Suppose 3*d - k = 4*j + 14, 4*j - 5*d + 25 = 0. Let c be q(j). Round c to the nearest 10000. 80000 Let q = 146 - 145.666. Let l = 8 + -7.976. Let b = l - q. What is b rounded to 1 decimal place? -0.3 Let t = 8 + 6.5. Round t to 0 dps. 15 Let d be 3 - (0 + 1) - 68. Let h be d/(-15) - (-2)/(-5). Suppose -h*u - 34000000 = u. Round u to the nearest 1000000. -7000000 Let u = 2259072 + -1567646. Suppose 5*d - 2*v + u = v, -3*d - 414846 = 3*v. Let p = d + 79284. Round p to the nearest ten thousand. -60000 Suppose -2 = -q - q. Let d be 1*q/3*15. Suppose 640001 = 2*x - 0*i + i, 2*i = -d*x + 1600002. Round x to the nearest 100000. 300000 Let p(l) = -2*l**3 - l**2 + 1. Let i be p(-1). Suppose i*t + 0*z + z = 15, 2*t = 3*z - 5. Suppose t*w - w = -232. What is w rounded to the nearest 10? -60 Suppose 3*o = -3*y + 22594932, -30510005 = -4*o + 4*y - 383389. Let s = -3636320 - 795329. Let d = s + o. Round d to the nearest one million. 3000000 Let t = -2.799981 + 2.8. Round t to six dps. 0.000019 Let d = -337.49 + 342. Round d to one decimal place. 4.5 Let o = 0.0135 + -0.0726. Round o to two dps. -0.06 Let j = 4.9 - -1.1. Let s = 16682 - 16688.00006. Let m = s + j. Round m to 5 dps. -0.00006 Let l(i) = 4*i - 4. Let h(y) = 5*y - 4. Let p(t) = -5*h(t) + 6*l(t). Let k be p(-6). Let q be 200001/k + 2/(-4). What is q rounded to the nearest 1000000? 0 Let d = -2.24 + 2.5. Let q = -0.91 + d. What is q rounded to one dp? -0.7 Let d = -1.27 - -55.27. Let y = d + -54.00000054. What is y rounded to seven dps? -0.0000005 Let n = -21.6 + 2.6. Let k = 16 + -8.7. Let t = n + k. Round t to the nearest integer. -12 Let u = 20.000192 - 20. Round u to five decimal places. 0.00019 Suppose 5*y + m + 213 = 3012, -4*y + m = -2241. What is y rounded to the nearest one hundred? 600 Let t = -10 + 19. Let j = t + -7. Let b = 1.996 - j. Round b to 2 dps. 0 Let a = -188 - -188.0000158. What is a rounded to 6 dps? 0.000016 Let l = -26639.663 - -26627. Let w = -83 + 70.4. Let c = w - l. What is c rounded to 2 dps? 0.06 Let x = -259.9 - -224.116. Let j = 36 + x. Round j to 2 dps. 0.22 Let o be 5712 + -1*2/1. Suppose 2*j + 1890 = -o. What is j rounded to the nearest 1000? -4000 Let z = 24.9 + -24. What is z rounded to zero decimal places? 1 Let m = -32.892949 - -36.2929544. Let w = m - 3.4. Round w to six dps. 0.000005 Suppose 0 = 4*m - m - 39900. What is m rounded to the nearest one thousand? 13000 Let b = 282876216 + -157446049. Let x = b + -125430227.000049. Let k = x - -60. Round k to 5 decimal places. -0.00005 Let j = -14.3 - -0.3. Let x = -14.00045 - j. What is x rounded to four decimal places? -0.0005 Let l = -12.79 + -0.21. Let o = 27.625248 + -40.6254. Let v = o - l. What is v rounded to five dps? -0.00015 Let d = 1257.919 + -1285.9. Let f = d - -28. Round f to three decimal places. 0.019 Let p = -31.36 - -31. Round p to 1 decimal place. -0.4 Let w = 154471.9876 - 154427. Let o = w - 45. Round o to three dps. -0.012 Let m(j) = -10*j**2 - 6*j - 10. Let o be m(-5). Round o to the nearest ten. -230 Let g(h) = -1499999*h**2 + h - 2. Let m be g(-2). What is m rounded to the nearest one million? -6000000 Let x = 8172 + -5772. Round x to the nearest one hundred. 2400 Let u = -2 - -3. Let k be u/((-3)/(-6)) - -2. Suppose 0 = k*z + y - 3031 - 7366, 0 = -4*y - 12. What is z rounded to the nearest one thousand? 3000 Let v = 5 - 4.81. Let h = -0.18948 + v. What is h rounded to 4 decimal places? 0.0005 Let q = -0.035 + 11.535. Let n = q + -11. Let t = 0.499904 - n. Round t to five dps. -0.0001 Let h = 870.41 - 874. What is h rounded to the nearest integer? -4 Let v(t) = 2*t - 10 - 3*t**2 + 20*t**3 + 2 - 13*t**3. Let j be v(-8). What is j rounded to the nearest 1000? -4000 Let b = -68707 - -233707. Round b to the nearest ten thousand. 170000 Let y = 50.17 + -1.17. Let x = 25 - y. Let i = x - -24.0088. What is i rounded to 3 dps? 0.009 Let j(r) = 269993*r**3 - r**2 + 6*r. Let a(q) = -q**3 + q. Let p(b) = 6*a(b) - j(b). Let n be p(-1). Round n to the nearest one hundred thousand. 300000 Let g = 7452.27897 - 7458.53. Let l = 0.45923 + g. Let f = l + 5.8. What is f rounded to 3 dps? 0.008 Let k = -4 - -2. Let h = k + 0.9. What is h rounded to one dp? -1.1 Let c = 3 - 7. Let t = 3.999965 + c. What is t rounded to five decimal places? -0.00004 Let b(m) = 4*m**2 - 7*m + 2. Let u be b(-5). Suppose -5*v - 163 = -538. Let k = v - u. What is k rounded to the nearest ten? -60 Let m = -0.1 - 2.7. Let q = m - -2.79981. What is q rounded to 4 decimal places? -0.0002 Let h = -2990660534.3 - -2854820130. Let o = 135840435.30000068 + h. Let u = o + -31. What is u rounded to seven decimal places? 0.0000007 Let f = -16.8 + 15. Let p = -8.9 - f. Round p to the nearest integer. -7 Let c = -6.903 - -7.23. What is c rounded to two decimal places? 0.33 Let j = -1549988 - -1549982.999988. Let u = 5 + j. What is u rounded to 5 dps? -0.00001 Let u(t) be the third derivative of t**4/12 - t**3 - t**2. Let j be u(6). Let l be 208/j*(79 - 4). Round l to the nearest one thousand. 3000 Let j = -15829.9998 + 15826. Let a = 3 - -1. Let y = j + a. What is y rounded to 3 dps? 0 Let y = -7 + 6.68. Let c = y + 0.32000031. What is c rounded to 7 dps? 0.0000003 Let f(g) = -819999*g + 3. Let i be f(-4). Suppose i = -4*d - t, d + 671943 = -2*t - 148055. Round d to the nearest 100000. -800000 Let h = -1171.8291 + 1172.3. Let d = -18.5391 - h. Let w = -20.4 - d. What is w rounded to one decimal place? -1.4 Let r = -0.1935 + 0.2. Round r to 3 decimal places. 0.007 Let g = -0.11 + 139.11. Let l = g - 138.99901. Round l to 4 decimal places. 0.001 Let s = 0 + 0.1. What is s rounded to one decimal place? 0.1 Let d be (-116)/145 + (-15204)/(-5). Round d to the nearest 100. 3000 Let a(f) = -3*f**2 + 10*f + 22. Let s be a(-18). Round s to the nearest 100. -1100 Let s = -6 - -9. Suppose s*y = 4*y - 100000. What is y rounded to the nearest 100000? 100000 Suppose -2*w + 3*w - 11488 = -5*i, -2*i + 4592 = 2*w. Let d = i - -2202. Round d to the nearest one thousand. 5000 Let r = -5.9 - -6. Let p = -0.1000005 + r. Rou
{ "pile_set_name": "DM Mathematics" }
(4*z - 3*z + z)*(-2 + 5 - 2)*(-24*z**2 + 181*z - 181*z) in the form a*z**2 + f + b*z**3 + t*z and give b. -50 Rearrange 29*r + 49 + 35*r - 49 to s*r + w and give s. 64 Express (-3*g - 2*g + 4*g)*((-2 + 1 + 2)*(-5*g + 1 - 1) - 2*g + g + 4*g) as c*g + w + s*g**2 and give s. 2 Rearrange 5*n + 1 - 2 - 4 + 6 to the form m + u*n and give u. 5 Express (4 - 4 + 18*m)*(4 - 1 + 0) as r*m + n and give r. 54 Express -8*n**3 - n**2 + 2*n**2 + 6*n**3 - 4 + 2 as y + o*n + g*n**2 + c*n**3 and give g. 1 Rearrange (-16*f + 13*f - 16*f)*(1 - 3 + 0)*(2 - 2*f - 2) to the form z*f + o*f**2 + v and give o. -76 Express -5*o + 0 - 2*o**2 - 6 + 6 in the form x*o + y + i*o**2 and give i. -2 Rearrange -c - 4 - c - 2*c**2 - 3 + 3 to the form z*c + y + n*c**2 and give y. -4 Rearrange (-47 + 14 + 25)*(q**2 - 4*q**2 + 2*q**2)*(-2*q**2 + q**2 + 0*q**2) to f*q**4 + p + x*q**3 + k*q**2 + t*q and give f. -8 Express 574 - 2*y - 579 - 2*y in the form q*y + n and give q. -4 Express -7 + 8 + o**3 + 0 - 2*o**2 - 3*o**3 in the form n*o + y*o**2 + p + k*o**3 and give k. -2 Express (3 - 1 + 0)*(-2*m - 2 + 2) + m - m - m + 2*m - 2*m + m in the form g + k*m and give k. -4 Express 2*l + 7 + 1 - 3 + 2*l as c*l + j and give j. 5 Express 28*b**2 - 2 + 26*b**2 - 48*b**2 in the form v*b + h*b**2 + f and give f. -2 Rearrange 11*w + 15*w - 22*w to the form j*w + u and give j. 4 Express (-2*j + 0*j + 3*j)*(2*j - 2*j**2 - 2*j - 3*j + 1) in the form g + r*j + w*j**3 + a*j**2 and give r. 1 Rearrange -a - 2*a**4 - 2*a + 4*a**4 + 4*a + a**2 + 1 - 4*a**3 to g*a + t + l*a**3 + k*a**2 + d*a**4 and give g. 1 Express (2*o**2 + 2*o**2 - 2*o**2)*(0*o**2 - o**2 - o**2) - 8*o**4 - 110*o**3 + 110*o**3 in the form s*o**3 + f*o**2 + j*o + x*o**4 + i and give x. -12 Rearrange (0*o**2 - 2*o**2 + o**2)*(40 + 16*o - 38 - 6*o)*(4 + 2 - 1) to n*o**2 + v*o**3 + r*o + h and give v. -50 Express -23*a - 238 + 238 in the form u*a + j and give u. -23 Rearrange 5 - 1 + 2*j**2 - 2*j**4 - 1 + 3 - 2*j**3 to s*j**4 + b*j**3 + c*j**2 + y*j + z and give b. -2 Express (2 - 3 - 4 + (0 + 3 - 1)*(2 - 3 + 3))*(h + 5*h**2 - 5*h**2 + h**2 + 16) in the form p*h + w*h**2 + d and give p. -1 Rearrange (-3*r**2 + 0*r**2 + r**2)*(-16 + 29 - 8)*(0*r**2 + r**2 + 0*r**2) to the form y*r**4 + g*r + v*r**2 + u*r**3 + q and give y. -10 Rearrange (u + u - 3*u)*(-4*u**3 + 5*u**3 + 0*u**3 + (-u**2 + 0*u**2 + 3*u**2)*(3*u - 5*u + 5*u)) to the form o*u**3 + l*u**2 + v*u**4 + j + z*u and give v. -7 Express (4*w - 2*w - 4*w - 2)*(-4*w**2 + w**2 + w**2)*(-8 - 64 + 8) as b + c*w**3 + u*w**2 + j*w and give c. -256 Express (8 - 2 + 6)*(0*v - 2*v + v) - v + v + 2*v + (3*v - 5*v + 3*v)*(2 + 3 - 4) in the form q + w*v and give w. -9 Express 13*a**4 + a**3 - 2*a**2 - 2*a - 1 - 8*a**4 - 3*a**4 in the form c + z*a**3 + q*a**2 + n*a + l*a**4 and give l. 2 Express ((r + 2*r**2 - r)*(17 - 39 + 16) + r**2 - 2*r**2 - r**2)*(-1 + 4 + 0) in the form s*r + q + m*r**2 and give m. -42 Express -4*z**2 - 5*z**3 + 2*z**2 + 4*z**2 - z**3 in the form a*z**3 + x*z + h + k*z**2 and give a. -6 Express -1929 + 1929 - 6*b**2 + 6*b + (b - b + 2*b)*(0 + 0 + 2*b) as p*b + d*b**2 + s and give p. 6 Express 7*f**4 + 19*f**3 - 20*f**3 - 2*f + 4*f in the form q + m*f**2 + h*f**3 + l*f**4 + x*f and give x. 2 Rearrange (-3 + 3 - t)*(t - t - 9*t**2) + (3*t + 2*t - 3*t)*(0*t**2 + t**2 - 3*t**2) + 3*t - 3*t + 2*t**3 to the form h*t + v*t**2 + m + s*t**3 and give s. 7 Rearrange 10*u + 2*u**2 + 0*u**2 + u**3 - 18*u + 6*u + u**4 to c*u + o*u**3 + s + h*u**4 + y*u**2 and give c. -2 Express 6*k - k**4 - 9*k**3 + k**3 + 7*k**3 as d*k**4 + z + s*k + w*k**3 + q*k**2 and give q. 0 Rearrange (3*t**2 - 5*t**2 - 3*t**2)*(4*t + t + 0*t)*(-3*t + 5*t - 4*t) to the form c*t**2 + a*t**3 + r + s*t**4 + g*t and give s. 50 Rearrange (-4*z**4 + 0*z**4 + z**4)*(2 + 0 - 1) - 4*z**4 - z**4 + z**4 - 5*z**4 + 2*z**4 + 4*z**4 to the form b*z + k*z**2 + a*z**4 + r + i*z**3 and give a. -6 Rearrange -2*b + 6*b + 7*b to the form k*b + a and give k. 11 Express (-11 + 9 + 9)*((1 + 1 - 4)*(-l**4 + 0*l**4 - l**4) + l**4 + 5*l**4 - 4*l**4) as x + w*l**2 + b*l**3 + d*l**4 + v*l and give w. 0 Rearrange -6*j + 4*j + 6*j to the form b + w*j and give w. 4 Express (2*y - 2*y**2 - 2*y)*(-3*y + 3*y - 5*y**2) + 7*y**4 - 11*y**2 + 11*y**2 as h*y + x*y**3 + l*y**2 + r*y**4 + v and give r. 17 Rearrange -5 + 3*t - 3 + 1 - 15 to the form d + n*t and give n. 3 Rearrange 3*d**4 - 4*d**4 + 4*d**4 + (-4*d + 0*d - 6*d)*(2*d**3 - 3*d**3 - d**3) to the form i + o*d**3 + g*d + f*d**2 + s*d**4 and give s. 23 Rearrange (1 + 0*g - 2*g + g)*(-67*g**3 - 79*g**3 + 16*g**3) to the form x*g**3 + u*g**2 + o + h*g**4 + z*g and give h. 130 Rearrange 2*p**3 - 3 - 3*p**3 + 0*p**3 - 6 - p + p**2 to m*p + w + x*p**3 + j*p**2 and give j. 1 Express -s**2 - 3*s**2 + 11 + 4*s**3 + 2*s**2 - 3*s**3 as u*s + k*s**3 + p + f*s**2 and give f. -2 Express -9*q - 6*q - q - 24*q as k + c*q and give c. -40 Express 6*f**3 + 6*f**3 + 3*f**2 - 5*f**3 + 1 - 2*f - 5*f**3 as y*f + n*f**2 + j + t*f**3 and give j. 1 Rearrange -3*j + 6*j + 11 - j to f + b*j and give f. 11 Express 2*k**2 + 0*k**2 + 5 - k**2 as l + g*k + c*k**2 and give c. 1 Express (-15 - 27*v**2 + 15)*(-3 + 2 - 1)*(-1 + 3 + 0) + (-2*v + 2 - 2)*(3 - v - 3) in the form q*v + u + h*v**2 and give h. 110 Rearrange -110*g**2 + 146*g**2 - 2*g + g to the form t*g + u*g**2 + i and give t. -1 Express -8*q - 4*q + q in the form w + p*q and give p. -11 Express (-1 + 1 - 2*p)*(-2*p - 2*p - 3*p) + (0*p - 3*p + 2*p)*(2*p - 2*p - 2*p) in the form k*p**2 + n*p + l and give k. 16 Express (-6 + 16 + 2)*(-5 + 6 - 2 - 2*x**2) as g*x**2 + j*x + d and give j. 0 Express -8*b**3 + 9*b**2 - 1 - 9*b**2 + (5*b**3 + 8*b**3 - 16*b**3)*(1 - 2 + 3) in the form p*b + j + o*b**2 + z*b**3 and give j. -1 Express (-74*b**2 + 608*b - 608*b)*(-3 + 3 - 2*b)*(2 - 2 - 2*b) + (b - b - b**2)*(3 + 2*b**2 - 3) in the form f + g*b**4 + z*b**3 + q*b + w*b**2 and give g. -298 Rearrange 18*h - 15*h - 34*h to the form y*h + d and give y. -31 Express -5*i - 3*i + 0*i - 5*i in the form s + p*i and give p. -13 Express 12*r**3 - 3*r**3 - 10*r**3 + 7*r as i*r**2 + a*r**3 + h + j*r and give a. -1 Express (-3 - 1 + 0)*(7*w - 10 + 10) in the form t*w + v and give t. -28 Rearrange (0*w**2 + 10*w**2 - 4*w**2)*(7 - 7 - 5*w**2) - 3*w**4 + 3*w**4 - w**4 to the form k*w**3 + y + r*w**2 + f*w + b*w**4 and give b. -31 Express 6*h + h - 30*h - 26*h as r*h + v and give r. -49 Express -82*a**2 + 4*a + 0 - 2 + 87*a**2 in the form v*a + p*a**2 + l and give p. 5 Express -6*y + 2*y + 5*y + (3 + 1 - 5)*(-9*y - 10 + 10) as k*y + f and give k. 10 Express 2*s - s - 17*s**3 + s in the form o + w*s**3 + x*s**2 + c*s and give w. -17 Rearrange 74*i - 14 + 78*i - 150*i to the form a + q*i and give q. 2 Express 8*u + 6 + u**3 - 6*u - 3 as g*u**2 + q*u + d*u**3 + j and give q. 2 Rearrange -4 - u**4 + u**2 - 7*u + 1 + 1 + 0 + 2*u**3 to the form z*u + k*u**2 + n*u**4 + i*u**3 + c and give n. -1 Express -6*a - 9 + 4 + 7 as f*a + l and give l. 2 Express -18*o + 5*o**2 + 3*o**3 - 4*o**3 + 17*o + o**4 - 3*o**2 in the form m + p*o**2 + j*o**3 + b*o**4 + d*o and give b. 1 Express 19*x - 9 + 9 as c + n*x and give n. 19 Rearrange (q + 2*q - 4*q)*(-2 - 3 + 6)*(-1 + 1 - 2) - q + 2*q - 6*q to d*q + y and give d. -3 Express 0*y**2 + 2 - 3 - 3*y**3 + 2*y**3 - y**2 as w + z*y + d*y**3 + p*y**2 and give p. -1 Rearrange -3 + g + 6 + 0*g + g**2 + g**3 to the form a*g**3 + i*g**2 + f + o*g and give a. 1 Express (2*b**2 - 12*b**2 + 21*b**2)*(2*b**2 + b**2 - b**2) as m*b**4 + g*b + h + r*b**2 + v*b**3 and give h. 0 Express 6587 + g + 8*g**2 - 6587 + 2*g**4 as a + r*g**4 + q*g + z*g**3 + t*g**2 and give r. 2 Express -a**2 - 22*a**2 + 2 - 3 - 9*a**2 in the form n + r*a**2 + o*a and give r. -32 Express -9*o + o + o**2 - o in the form f + h*o**2 + s*o and give h. 1 Express -3 + g**4 - 2*g**2 - 6*g**4 - 2*g**3 + 0*g**4 + 6*g**4 as s*g**4 + y*g**2 + w + l*g**3 + z*g and give w. -3 Express -20*d + 109 - 109 in the form y*d + o and give y. -20 Express (6 + 1 - 5)*(0*z - 3*z + z)*(z + 0 + 0 + (2*z - 1 + 1)*(0 - 8 - 1)) as g*z**2 + q + h*z and give g. 68 Rearrange (2*z**2 - 2*z + 2*z)*(-2*z + 2*z + 4*z) - z**3 + 2*z**3 + 2*z**3 to c + m*z**3 + p*z + s*z**2 and give m. 11 Express v**2 + 1 + 3*v**2 - 2 + 2*v**2 in the form u*v**2 + q*v + a
{ "pile_set_name": "DM Mathematics" }
4, 2, -3, -4 Put 1, 39, 2, 5, -2 in descending order. 39, 5, 2, 1, -2 Sort -0.014, 1/11, -2/9, -0.4 in increasing order. -0.4, -2/9, -0.014, 1/11 Put 1, -1, -4, 6, -5/4 in ascending order. -4, -5/4, -1, 1, 6 Put -67, -1/7, 53/4 in decreasing order. 53/4, -1/7, -67 Sort -6, 0, -12. -12, -6, 0 Put 3/5, 145/3, -4, 4/5, 3 in descending order. 145/3, 3, 4/5, 3/5, -4 Put 2, 3, -4, 314 in decreasing order. 314, 3, 2, -4 Sort 5, 4, -17, 0 in ascending order. -17, 0, 4, 5 Put -18, -2, -17 in descending order. -2, -17, -18 Sort 3/56, 2/3, 1/3, 3, 4 in increasing order. 3/56, 1/3, 2/3, 3, 4 Sort -0.1, -7, -52, 0.2 in descending order. 0.2, -0.1, -7, -52 Sort -20, 1, -6. -20, -6, 1 Sort 1, 0, 2, 41. 0, 1, 2, 41 Sort 1, 487, 5 in increasing order. 1, 5, 487 Sort -10, 3, 16. -10, 3, 16 Sort -0.1, -15, 6, -0.4 in increasing order. -15, -0.4, -0.1, 6 Sort 1, -4, -6, 5, -1 in descending order. 5, 1, -1, -4, -6 Put 2/3, -3/8, -5, -6, 1.2 in decreasing order. 1.2, 2/3, -3/8, -5, -6 Sort 1/12, 1/15, -12 in decreasing order. 1/12, 1/15, -12 Sort 2, -16, 5, -5 in decreasing order. 5, 2, -5, -16 Sort -1/2, -0.08, -0.7. -0.7, -1/2, -0.08 Sort 1, -253, 2. -253, 1, 2 Put -54, 3, 2 in ascending order. -54, 2, 3 Put -2, -3, 4, -196 in decreasing order. 4, -2, -3, -196 Sort -10, 3, 109/6. -10, 3, 109/6 Sort -2/9, 2/5, -2, -10 in decreasing order. 2/5, -2/9, -2, -10 Put -4/5, 1/38, -1/7, -5 in decreasing order. 1/38, -1/7, -4/5, -5 Sort -5, -3, -4, 2 in ascending order. -5, -4, -3, 2 Put 4, 46, 3, 9 in ascending order. 3, 4, 9, 46 Put 0.6, 9, 0.06, -2/7, -4 in increasing order. -4, -2/7, 0.06, 0.6, 9 Put -5, -53, -3, 3/4, 2/11 in decreasing order. 3/4, 2/11, -3, -5, -53 Sort 1, 2, 9, -5. -5, 1, 2, 9 Sort -2/5, 0.4, -1/2. -1/2, -2/5, 0.4 Sort -1, -9.48, -1/8, 4 in decreasing order. 4, -1/8, -1, -9.48 Put -2/3, -2, 0, -2/11 in increasing order. -2, -2/3, -2/11, 0 Put 0.2, -2, 0.1, -1/4, 1/9 in descending order. 0.2, 1/9, 0.1, -1/4, -2 Sort -2/1129, 2, -0.2. -0.2, -2/1129, 2 Put -4, -1, -2 in increasing order. -4, -2, -1 Put -1, 0.4, -32, 43 in ascending order. -32, -1, 0.4, 43 Sort -2, -102, 2/9, 3, -0.6. -102, -2, -0.6, 2/9, 3 Put -4, -22, 4 in descending order. 4, -4, -22 Put 5, -4, 1, 12 in descending order. 12, 5, 1, -4 Sort -8, 4, -17 in decreasing order. 4, -8, -17 Sort -23/8, -3, -0.3, 0.4 in descending order. 0.4, -0.3, -23/8, -3 Put 8/3, -0.05, 0, -3/5 in descending order. 8/3, 0, -0.05, -3/5 Sort 3/7, 12, 1, -1/2. -1/2, 3/7, 1, 12 Sort 3.6, -13, -38 in decreasing order. 3.6, -13, -38 Sort -1, -6/11, -0.5, -2/17, 4 in ascending order. -1, -6/11, -0.5, -2/17, 4 Sort 2, 4, -3, -16. -16, -3, 2, 4 Sort 0.6, -4, -3, -1, 28 in descending order. 28, 0.6, -1, -3, -4 Sort 0.4, 1/23, -0.2 in decreasing order. 0.4, 1/23, -0.2 Put 3, -5, 0, -5/2 in descending order. 3, 0, -5/2, -5 Put 7, -18, 1, -0.1, 0.18 in descending order. 7, 1, 0.18, -0.1, -18 Sort -2, 83, 5 in ascending order. -2, 5, 83 Put -26, -3, -2/17, 1/7, 0.1 in descending order. 1/7, 0.1, -2/17, -3, -26 Put -3, 9, -4, -2 in increasing order. -4, -3, -2, 9 Sort -10.3, -2/17, 0.3 in increasing order. -10.3, -2/17, 0.3 Put -3, -0.5, 0.01 in descending order. 0.01, -0.5, -3 Sort 5, 5/7, -1/5, 7 in descending order. 7, 5, 5/7, -1/5 Put -160, -4, 8, 3 in decreasing order. 8, 3, -4, -160 Sort 22, 0, 253 in ascending order. 0, 22, 253 Sort 32.5, -1/5, 0.3 in decreasing order. 32.5, 0.3, -1/5 Sort 0.2, 1/2, 3.98, 0.4 in descending order. 3.98, 1/2, 0.4, 0.2 Sort -0.08, -5, 1, 0.0083 in descending order. 1, 0.0083, -0.08, -5 Put -2, -8, 10 in ascending order. -8, -2, 10 Put 1, 31, -3, 0 in descending order. 31, 1, 0, -3 Put -0.5, -2, 0.0454 in decreasing order. 0.0454, -0.5, -2 Sort -1, 1, 92, -2, 4 in ascending order. -2, -1, 1, 4, 92 Sort -3/7, -4, 0.088, 1/7 in decreasing order. 1/7, 0.088, -3/7, -4 Sort 2/5, -4.97, 0. -4.97, 0, 2/5 Sort -5, 3, -3, 4, 0 in descending order. 4, 3, 0, -3, -5 Put 1, -39, 0, -5, -3 in decreasing order. 1, 0, -3, -5, -39 Put 82, -3, 3, 2 in ascending order. -3, 2, 3, 82 Sort -1/14, 4, -14/3. -14/3, -1/14, 4 Sort -1, 1, 2, -4. -4, -1, 1, 2 Sort -5, 0.1, 25, 0 in decreasing order. 25, 0.1, 0, -5 Sort 3/4, 4, -2, 26. -2, 3/4, 4, 26 Put -9, 113, -1, 0 in decreasing order. 113, 0, -1, -9 Sort -3, -4, -2, -6, 0. -6, -4, -3, -2, 0 Put -127, -6/7, -0.2, -6 in increasing order. -127, -6, -6/7, -0.2 Put 36, -3, -13, 1 in ascending order. -13, -3, 1, 36 Sort 10, 0, -1/6, 1/9, 0.4 in decreasing order. 10, 0.4, 1/9, 0, -1/6 Sort 0, -16, -5, 2/11. -16, -5, 0, 2/11 Put -4, -30, -7, 3 in increasing order. -30, -7, -4, 3 Sort 3, 20/13, -5, 9. -5, 20/13, 3, 9 Sort 2, -1, -40, -3, -4 in decreasing order. 2, -1, -3, -4, -40 Put -3, 4/5, -146, -0.5, -0.4 in decreasing order. 4/5, -0.4, -0.5, -3, -146 Sort 1/4, 5, -3, 22 in ascending order. -3, 1/4, 5, 22 Put -3, -5/8, 0.2, -1/4 in decreasing order. 0.2, -1/4, -5/8, -3 Put -15, -2, 5, -1 in decreasing order. 5, -1, -2, -15 Put 57, 1/3, 0.2, -4 in descending order. 57, 1/3, 0.2, -4 Put 4/5, 0, -2/11, -5, -35 in ascending order. -35, -5, -2/11, 0, 4/5 Sort -19, -4, 6 in ascending order. -19, -4, 6 Sort -0.1, 2/35, -0.3 in descending order. 2/35, -0.1, -0.3 Put 16, -1, 0.0427 in ascending order. -1, 0.0427, 16 Sort 0.02, 173, 7 in descending order. 173, 7, 0.02 Sort -3, -9, -12, -4, 2 in decreasing order. 2, -3, -4, -9, -12 Sort 0, -1, -2.9, -2/9, -1/6 in decreasing order. 0, -1/6, -2/9, -1, -2.9 Sort 4, 1, -31 in ascending order. -31, 1, 4 Sort -0.5, 18, 0.01 in descending order. 18, 0.01, -0.5 Sort -5, -14, -26 in decreasing order. -5, -14, -26 Sort -0.4, 16, -4, 0.4 in descending order. 16, 0.4, -0.4, -4 Put -1/7, -3, 0, 0.04, -3/13 in decreasing order. 0.04, 0, -1/7, -3/13, -3 Put -5, -1, -29 in decreasing order. -1, -5, -29 Put 1.48, -0.2, 1, -2, 4 in decreasing order. 4, 1.48, 1, -0.2, -2 Sort 3, 372, -17 in increasing order. -17, 3, 372 Sort -2, -4, 4, 185. -4, -2, 4, 185 Put -10, 5, 2 in ascending order. -10, 2, 5 Sort 1, 10, -40, 3. -40, 1, 3, 10 Sort -3, 0, 341 in ascending order. -3, 0, 341 Sort -2, -608, -5, -1, 2 in descending order. 2, -1, -2, -5, -608 Sort -0.06, -0.2, 1/5, 0.07, -0.4 in increasing order. -0.4, -0.2, -0.06, 0.07, 1/5 Put -5, -318, 2/3, -1/4 in ascending order. -318, -5, -1/4, 2/3 Sort 5, 191, -2 in descending order. 191, 5, -2 Sort -1/7, 3/7, 2/5, 114, -1 in descending order. 114, 3/7, 2/5, -1/7, -1 Put 3, 0, -37 in descending order. 3, 0, -37 Put -25, 4, 1, -3 in ascending order. -25, -3, 1, 4 Put -5/3, 5, -3/23, 0, 6 in increasing order. -5/3, -3/23, 0, 5, 6 Put -0.2, 12, 1/3, -4, 5/7 in increasing order. -4, -0.2, 1/3, 5/7, 12 Sort 0.3, 0.1, 17/5 in ascending order. 0.1, 0.3, 17/5 Sort 3, 1, 28 in increasing order. 1, 3, 28 Put -0.5, -9, 1/20, -0.1, -0.3 in decreasing order. 1/20, -0.1, -0.3, -0.5, -9 Put -4, 24, -5 in descending order. 24, -4, -5 Put 2, 36, -3/4, 0.2, 5 in increasing order. -3/4, 0.2, 2, 5, 36 Sort 5, 0, -5, 2, 153. -5, 0, 2, 5, 153 Sort -7, 1.8, 4/3, 1/6, 0 in increasing order. -7, 0, 1/6, 4/3, 1.8 Sort 4, -6, -24. -24, -6, 4 Sort 6, -3, 5, 0, -42 in decreasing order. 6, 5, 0, -3, -42 Sort 8, -1, -3 in increasing order. -3, -1, 8 Sort 0, 7, 10 in descending order. 10, 7, 0 Sort 109, 3, -4. -4, 3, 109 Put -4, 6, 24 in decreasing order. 24, 6, -4 Put -2/15, 2, -42 in ascending order. -42, -2/15, 2 Sort -2, 27, 1, 3 in descending order. 27, 3, 1, -2 Sort -25, -1, 36 in decreasing order. 36, -1, -25 Put 1, 0, -4, -5 in decreasing order. 1, 0, -4, -5 Put -0.55, -0.05, 2 in increasing order. -0.55, -0.05, 2 Sort 6, 2, 9 in descending order. 9, 6, 2 Put 4, 1/6, -4/7, 1/3 in increasing order. -4/7, 1/6, 1/3, 4 Put -0.2, -1/8, -343 in ascending order. -343, -0.2, -1/8 Sort 4, 19, 91, 1 in ascending order. 1, 4, 19, 91 Sort -9, -4, -44, -3 in descending order. -3, -4, -9, -44 Sort 1, 1/4, -59.9, 2 in ascending order. -59.9, 1/4, 1, 2 Sort -46, 5, 0, -4. -46, -4, 0, 5 Sort 1, -5, -3, 2 in descending order. 2, 1, -3, -5 Put 21.7, 3, -2 in descending order. 21.7, 3, -2 Put -1, 3, -62, 2 in decreasing order. 3, 2, -1, -62 Put -3, -2, 0 in decreasing order. 0, -2, -3 Put 3, -36, -1, 0 in descending order. 3, 0, -1, -36 Sort 4, -191, -3. -191, -3, 4 Put 1/10, 2/9, 1, -4/27, 0.3 in increasing order. -4/27, 1/10, 2/9, 0.3, 1 Pu
{ "pile_set_name": "DM Mathematics" }
hat is the next term in -7186, -30335, -68912, -122911, -192326, -277151? -377380 What is the next term in -364714, -729432, -1094150? -1458868 What is next in -1535, -1755, -2347, -3497, -5391, -8215, -12155? -17397 What is next in 80115, 160262, 240409, 320556? 400703 What is next in -2947, -6419, -9901, -13399, -16919, -20467? -24049 What is the next term in 38447, 38465, 38509, 38591, 38723, 38917, 39185? 39539 What comes next: -147, -1280, -4311, -10176, -19811, -34152, -54135, -80696? -114771 What comes next: -1402, -1511, -1620, -1729, -1838? -1947 What comes next: 1318, 1317, 1316, 1315, 1314, 1313? 1312 What is the next term in -5571008, -5571009, -5571010? -5571011 What is next in 1622, 3244, 4864, 6482, 8098, 9712, 11324? 12934 What is next in 851, 3392, 7633, 13580, 21239, 30616, 41717, 54548? 69115 What comes next: -82504, -329983, -742446, -1319887, -2062300, -2969679, -4042018, -5279311? -6681552 What is next in -1415, -5667, -12757, -22679, -35427, -50995, -69377, -90567? -114559 What is the next term in 152795, 152792, 152789, 152786, 152783? 152780 What comes next: 1049764, 1049759, 1049752, 1049743, 1049732? 1049719 What is the next term in -779, -778, -769, -740, -679? -574 What is next in -109, -416, -1135, -2470, -4625, -7804? -12211 What is next in 38001, 76002, 114003, 152004? 190005 What is the next term in 48, 494, 1702, 4050, 7916, 13678? 21714 What is the next term in 507, 513, 519, 525, 531, 537? 543 What is next in -1354, -5371, -12068, -21445? -33502 What is next in -56475, -112952, -169429, -225906? -282383 What is next in 3894, 3929, 3964, 3999? 4034 What comes next: -5, 47, 99? 151 What is the next term in 967, 1676, 2387, 3100, 3815? 4532 What comes next: -298, -605, -946, -1321, -1730, -2173? -2650 What comes next: -78, -76, -66, -36, 26, 132? 294 What is the next term in 151327, 302664, 454001, 605338, 756675, 908012? 1059349 What is the next term in -2972, -5808, -8646, -11486, -14328? -17172 What is the next term in 2991, 5970, 8939, 11898, 14847? 17786 What is the next term in 2309943, 2309937, 2309927, 2309913, 2309895? 2309873 What is next in -61, -147, -257, -391, -549, -731, -937? -1167 What comes next: 29006, 58013, 87020, 116027, 145034? 174041 What comes next: 2092, 4165, 6242, 8323, 10408, 12497, 14590? 16687 What is next in 1131370, 1131372, 1131374, 1131376, 1131378, 1131380? 1131382 What is next in 357297, 357298, 357299? 357300 What comes next: -7851, -15703, -23555, -31407, -39259, -47111? -54963 What comes next: -53, -86, -177, -356, -653? -1098 What comes next: -1173, -2411, -3693, -5025, -6413, -7863, -9381? -10973 What comes next: 22140, 44242, 66344, 88446? 110548 What comes next: 51014, 102029, 153040, 204047, 255050, 306049, 357044? 408035 What comes next: 1018, 2020, 3016, 4006, 4990? 5968 What comes next: 303, 250, 163, 42? -113 What is the next term in 22443, 44888, 67331, 89772? 112211 What comes next: -942, -1422, -1902, -2382, -2862? -3342 What comes next: -32032, -128139, -288324, -512593, -800952, -1153407, -1569964? -2050629 What is next in -85, 447, 1597, 3365, 5751, 8755, 12377? 16617 What is the next term in -10421, -10467, -10585, -10811, -11181, -11731, -12497? -13515 What is next in -3390, -3431, -3492, -3567, -3650, -3735? -3816 What comes next: 28433, 28345, 28257? 28169 What comes next: 34350, 137396, 309142, 549594, 858758, 1236640, 1683246? 2198582 What is next in -67, 56, 191, 338, 497, 668? 851 What comes next: 115998, 116004, 116010, 116016? 116022 What comes next: 337, 185, 1, -209, -439, -683, -935, -1189? -1439 What comes next: 153, 1490, 5123, 12198, 23861, 41258, 65535, 97838? 139313 What comes next: 1640615, 1640616, 1640617? 1640618 What comes next: -8705, -8704, -8703? -8702 What comes next: -512, -938, -1346, -1736, -2108, -2462, -2798? -3116 What comes next: -1188417, -1188419, -1188421? -1188423 What is the next term in 558, 2145, 4800, 8529, 13338, 19233, 26220, 34305? 43494 What is the next term in -358, -318, -252, -160, -42, 102, 272? 468 What is the next term in -4719, -9432, -14131, -18810, -23463? -28084 What is the next term in -689, -1633, -2605, -3617, -4681? -5809 What is next in 69636, 69634, 69630, 69624, 69616, 69606, 69594? 69580 What comes next: -1581757, -3163512, -4745267, -6327022? -7908777 What comes next: -149, -476, -999, -1718? -2633 What comes next: -27410, -54843, -82262, -109661, -137034, -164375? -191678 What is next in -15085, -15090, -15095? -15100 What is next in -19169, -19125, -19081, -19037, -18993? -18949 What is next in -7495, -7491, -7487, -7483, -7479, -7475? -7471 What is next in 16033, 32067, 48101? 64135 What comes next: -135853, -135850, -135847, -135844? -135841 What is next in -1158, -2432, -3720, -5016, -6314? -7608 What is next in -1074614, -1074616, -1074620, -1074626, -1074634, -1074644, -1074656? -1074670 What is next in 4006, 7998, 11974, 15934, 19878, 23806? 27718 What comes next: 9728, 19360, 28992, 38624, 48256, 57888? 67520 What is next in 2992, 11954, 26890, 47800, 74684, 107542, 146374? 191180 What is the next term in -8695, -17397, -26111, -34843, -43599, -52385, -61207, -70071? -78983 What is next in -113, -116, -167, -290, -509? -848 What is next in 44399, 44401, 44403? 44405 What comes next: 3926, 3903, 3884, 3869, 3858? 3851 What is next in 1252, 2477, 3672, 4837? 5972 What is next in 111966, 223899, 335830, 447759, 559686? 671611 What is next in 138, 1329, 4642, 11151, 21930, 38053, 60594? 90627 What comes next: -1026874, -1026874, -1026872, -1026868? -1026862 What is next in -757, -2606, -5687, -10000, -15545, -22322? -30331 What comes next: 3051, 3093, 3135, 3177? 3219 What is the next term in 9908, 9680, 9300, 8768, 8084? 7248 What is the next term in -800, -1614, -2436, -3272, -4128? -5010 What is the next term in -299, -855, -1783, -3083, -4755? -6799 What is the next term in -2620, -10523, -23702, -42163, -65912, -94955, -129298? -168947 What is next in 4327, 8678, 13029? 17380 What is next in 2110, 2113, 2116? 2119 What is the next term in -10092, -10094, -10096, -10098, -10100, -10102? -10104 What comes next: -29603, -29602, -29601? -29600 What comes next: 1727, 3924, 6135, 8366, 10623, 12912, 15239? 17610 What comes next: -7453, -7572, -7691, -7810, -7929, -8048? -8167 What comes next: 1386, 10132, 33856, 80046, 156190, 269776, 428292? 639226 What comes next: -2042, -4067, -6102, -8153, -10226, -12327, -14462, -16637? -18858 What is the next term in 170267, 340536, 510805, 681074, 851343, 1021612? 1191881 What comes next: 5015, 9722, 14427, 19130? 23831 What is the next term in 9866, 19745, 29626, 39509? 49394 What comes next: -630, -736, -874, -1044, -1246, -1480? -1746 What comes next: 911, 2479, 4699, 7571, 11095, 15271? 20099 What is the next term in 143, 540, 1175, 2030, 3087, 4328, 5735? 7290 What is next in -67, -28, 109, 392, 869, 1588? 2597 What is next in 352300, 352298, 352294, 352288? 352280 What is the next term in 18204329, 18204328, 18204327, 18204326, 18204325? 18204324 What is next in -1120, -1041, -962? -883 What is next in 623, 588, 553? 518 What comes next: 498, 1022, 1546? 2070 What comes next: -675900, -675891, -675868, -675825, -675756, -675655? -675516 What is next in 33, 74, 157, 294, 497, 778, 1149, 1622? 2209 What comes next: 10203, 10213, 10229, 10251, 10279, 10313, 10353? 10399 What is next in 17071, 34125, 51169, 68197, 85203? 102181 What is the next term in -9979, -9968, -9955, -9940, -9923? -9904 What is next in 276, 422, 614, 858, 1160, 1526, 1962, 2474? 3068 What is the next term in -38937, -38931, -38925? -38919 What is next in -290, -265, -242, -227, -226? -245 What comes next: -540, -609, -684, -765, -852, -945, -1044? -1149 What is the next term in 155, 569, 1243, 2177? 3371 What is next in -22008, -88038, -198088, -352158, -550248, -792358, -1078488? -1408638 What is the next term in 1042, 2071, 3120, 4189, 5278, 6387, 7516? 8665 What comes next: -16201, -32398, -48595, -64792, -80989? -97186 What is next in -2028, -8260, -18698, -33342, -52192? -75248 What is the next term in -23686, -47377, -71068, -94759? -118450 What is the next term in -3011, -6023, -9035? -12047 What is next in -796, -638, -484, -334, -188? -46 What is next in 2758,
{ "pile_set_name": "DM Mathematics" }
*28/105*3 -4 Calculate 6/9*30/(-8)*-2. 5 (1/1)/(-5*3/(-45)) 3 (-18)/4*4/(-6) 3 Calculate ((-9)/(-12))/((-17)/68). -3 (-5)/(-10*14/28) 1 What is (6/(-8))/(-6*1/16)? 2 (2/(-6))/((-9)/(216/(-16))) -1/2 What is ((-3)/1)/(((-6)/3)/(-2))? -3 ((-8)/(-12))/((-5)/3) -2/5 Calculate (-3*(-2)/(-2))/(1092/(-104)). 2/7 Evaluate (126/(-525))/(6/20). -4/5 (-4)/(-6)*-3*1/1 -2 Evaluate (9/21)/((-4)/28). -3 Evaluate 1/((-30)/(-75)*(-1)/(-2)). 5 What is the value of ((-57)/(-38))/(3/4)? 2 Evaluate (2/(-2))/((-2)/2). 1 Calculate (-1)/(1*(-2)/(-30)*9). -5/3 38/(-19)*1/(-16) 1/8 (-4)/3*(-27)/(-234) -2/13 Evaluate ((-1)/(-3))/((931/(-21))/(-19)). 1/7 Evaluate ((-50)/90)/(-5)*-1. -1/9 Evaluate (-3)/((6/15)/((-24)/90)). 2 Calculate 50/125*(-10)/(-18). 2/9 Evaluate ((-1)/1)/(((-12)/(-3))/4). -1 Calculate (10/(-105))/(1/6). -4/7 Calculate ((-12)/9)/(32/(-8)). 1/3 What is the value of (-18)/45*(-15)/(-24)? -1/4 What is the value of ((-42)/(-28))/(3/16)? 8 What is the value of (-168)/210*((-30)/(-16))/(-5)? 3/10 What is 6/((-210)/(-7))*25? 5 What is (4/6*-3)/(198/297)? -3 What is the value of -16*((-72)/240)/((-12)/(-10))? 4 Calculate (-2*2/(-20))/(126/(-210)). -1/3 Evaluate 15*(-2)/12*(-3)/15. 1/2 What is the value of (-4)/72*21*8/98? -2/21 Evaluate (1120/30)/(-16)*(-3)/(-1). -7 What is the value of (287/(-123))/(7/(-3))? 1 What is the value of ((-288)/40)/(-6)*5/2? 3 What is the value of ((-6)/(-20))/((-12)/(-16))? 2/5 Evaluate 1/(6/6)*1/(-4). -1/4 What is the value of (-1)/((-18)/(-6))*-27? 9 Evaluate ((-173)/(-4325))/(-1*(-1)/(-2)). -2/25 ((-1)/(-5))/(((-27)/(-7))/(-27)) -7/5 2*(-2)/14*(-43)/(-86) -1/7 Calculate (28/105)/((-14)/(-3))*15. 6/7 (-77)/11*4/(-42)*6 4 What is (3/(-12))/((-15)/(-20))? -1/3 What is the value of 60/(-40)*(-8)/(-78)? -2/13 What is the value of (0/(-2))/((-2)/(-1))? 0 What is (8/10)/(9/((-270)/(-12)))? 2 4/(-8)*6*(-1)/(-1) -3 Calculate (-4)/(-9)*408/544. 1/3 ((-49)/364*-13)/(1/(-4)) -7 What is the value of 0/(-2)*(20/(-8))/5? 0 What is 6*(2/(-3))/(8/(-6))? 3 What is (12/(-14))/((-33)/77)? 2 What is the value of (-2)/(-1*4/(-10))? -5 Calculate (4*(-15)/105)/(2/(-14)). 4 Calculate ((-18)/(-4))/((9/3)/6). 9 What is -12*(-26)/(-195)*5? -8 What is the value of -8*12/(-8)*1/(-3)? -4 What is the value of 10/4*3/60*16? 2 80/4*-1*2/(-5) 8 What is 3/15*(-3)/1? -3/5 What is (-2)/1*(-9)/(-12)*-2? 3 Evaluate 10*-2*(-7)/28. 5 What is (-10)/16*4*(-2)/5? 1 What is (1/(-9))/((72/(-12))/(-18))? -1/3 Evaluate ((-8)/((-16)/(-10)))/((-5)/3). 3 24/32*(-8)/10 -3/5 Calculate ((-3)/9)/(-10*3/36). 2/5 Calculate (-4)/(-14)*182/78. 2/3 What is the value of (2*(-1)/6)/((-4)/3)? 1/4 What is (-5)/2*((-64)/(-20))/(-8)? 1 What is (6/((-216)/(-30)))/((-10)/(-3))? 1/4 What is ((-11)/(-11))/((-1)/(-1))? 1 Calculate (72/180)/(2*(-6)/(-15)). 1/2 (38/19)/((12/(-10))/(-3)) 5 What is ((-1)/(-6))/(180/432)? 2/5 What is the value of (-7)/28*2/1*6? -3 Calculate ((-2)/(-3))/(121/(-33)). -2/11 Evaluate (-6)/(-7)*(-25)/((-900)/(-168)). -4 What is the value of 9/243*-21*(-2)/7? 2/9 3/((-18)/30)*1 -5 Evaluate (4/20)/((-3)/(-75)). 5 30/180*9/(-4)*2 -3/4 What is the value of (-9)/10*(-3)/((-36)/20)? -3/2 Calculate -1*(-8)/(-2)*(-2)/(-8). -1 ((-36)/(-126))/((-3)/7) -2/3 Calculate 0*-2*4/(-8). 0 Calculate (-3*(-14)/(-49))/(3/(-1)). 2/7 ((-7)/14*2)/1 -1 Evaluate 144/48*(-2)/(-21). 2/7 Evaluate 4/(6*(-12)/18). -1 Calculate 1/2*(-102)/17. -3 What is the value of ((-2)/(-3))/(-6*(-18)/(-243))? -3/2 What is the value of 3*3/(-18)*-4? 2 What is the value of ((-165)/770)/((-1)/(-4))? -6/7 What is the value of (-3*4/60*5)/1? -1 What is (36/(-15))/(24/60)? -6 What is the value of 0/(-2)*(-1)/(-6)*-3? 0 Calculate (2*(-2)/2)/(85/17). -2/5 35/(-10)*48/28 -6 What is 6/(-3)*11/22? -1 What is 4/(-54)*159/(-53)? 2/9 (-20)/(-16)*1*(-4)/30 -1/6 Calculate (-3)/2*42/105. -3/5 Evaluate ((-1120)/(-65520))/(2/6*-1). -2/39 What is 32/(-40)*(-30)/(-84)? -2/7 Evaluate 8/2*(-4)/(-8)*-2. -4 What is (12/72)/(((-6)/(-27))/2)? 3/2 Calculate ((-6)/21)/(4/(-56)). 4 70/(-105)*1/(-2) 1/3 1/2*6*4/(-6) -2 What is ((-84)/(-7))/((-4)/2)? -6 Calculate -3*24/(-32)*4. 9 What is the value of (-20)/5*(-2)/(-28)? -2/7 (-1*10/2)/4 -5/4 3/15*(-285)/19 -3 (1/(-2))/((-79)/(-1106)) -7 What is (1/(-1))/(30/(-4620)*14)? 11 Evaluate (252/840)/((-6)/(-5)). 1/4 What is ((-2)/(-66))/(((-430)/60)/43)? -2/11 Calculate 1*(-6)/15*(-7)/14. 1/5 Evaluate (-8)/10*(-27)/(-270). -2/25 (0*2/(-2))/3 0 What is the value of (12/(-45))/((-64)/48)? 1/5 Calculate 34/(-119)*(-7)/4. 1/2 Calculate 0/(-2)*32/32. 0 Calculate (6/(-4)*2)/(1/1). -3 Calculate 3/(6/24*-9)*3. -4 What is the value of ((-24)/84)/(180/63)? -1/10 Calculate 2*2/(-24)*69/92. -1/8 What is the value of 126/(-28)*(-1)/3? 3/2 Calculate (8/60)/(38/(-190)). -2/3 What is (102/(-12))/(-17)*(-16)/2? -4 What is the value of ((-12)/24*-10*1)/1? 5 What is the value of ((91/(-7))/(-182))/((-3)/12)? -2/7 Evaluate ((-16)/(-6))/((-45)/(-135)). 8 What is 9/(-21)*9/(-27)? 1/7 What is the value of ((-22)/286)/((-1)/(-2))? -2/13 -4*(234/12)/(-13) 6 What is (-8)/(-80)*(-36)/(-9)? 2/5 What is (66/(-4))/(-11)*(-4)/(-3)? 2 Calculate (-27*(-1)/(-3))/((-3)/2). 6 What is the value of (-11)/((-66)/(-8))*(-12)/(-8)? -2 What is (-1)/(3/((-60)/(-5)))? -4 What is the value of ((-12)/3)/(8*(-5)/10)? 1 (-1)/((-2)/(8/14)) 2/7 What is the value of 12*(11/(-231))/(5/(-7))? 4/5 Calculate 3*1*2/(-1*6). -1 Evaluate (-18)/(-18)*2/(-2). -1 What is the value of ((-3)/9)/((-8)/(-96))? -4 What is (-2)/6*21/(-35)? 1/5 What is -1*(-20)/(-6)*45/25? -6 What is the value of ((27/3)/(-297))/(2/18)? -3/11 What is the value of ((-429)/117)/(2/(-6))? 11 Evaluate (17/(-102))/((-2)/8). 2/3 Calculate (8*8/((-128)/(-24)))/(-2). -6 Calculate (56/(-21))/8*0/5. 0 What is the value of 1*(-5)/10*-2? 1 What is (-4)/(-2)*2/14? 2/7 What is (-2)/3*(-33)/55*-10? -4 What is the value of (-58)/(-29)*(-3)/12*2? -1 What is the value of -2*(-1)/(-1)*807/(-2690)? 3/5 Evaluate (-8)/(-10)*4/(112/70). 2 What is the value of 24/294*14/4? 2/7 Calculate ((-33)/27)/11*9/(-3). 1/3 Calculate 10/(-15)*63/168. -1/4 Evaluate 4/(-198)*(-45)/5. 2/11 What is the value of (4/(-4))/(-2*(-6)/96)? -8 Evaluate (-1)/5*-6*80/24. 4 What is the value of (-3)/(54/84*7/3)? -2 What is (-3*21/35)/(4/(-20))? 9 Evaluate ((-12)/((-12)/(-1)))/((-1)/3). 3 Calculate ((-4)/6)/(1/((-6)/(-4))). -1 Calculate (-10)/(-4)*((-6)/(-10))/3. 1/2 Evaluate (2/(-4))/(2*2/(-8)). 1 What is (-4*1)/(128/256)? -8 Calculate (-69)/1035*20/6. -2/9 (12/12)/((-10)/8) -4/5 6*13/(-117)*3 -2 What is (-126)/120*(-135)/378? 3/8 Evaluate 7*(-14)/490*-55. 11 What is the value of ((-3)/(-42)*3)/(1920/(-512))? -2/35 ((-136)/(-442))/((-3)/(-39)*2) 2 Evaluate (6/2)/((-9)/12). -4 What is the value of (30/(-40))/((-3)/(-1))? -1/4 What is 1*-1*(-2)/3*3? 2 What is 7/(-16*7)*4? -1/4 (-35)/49*(-7)/(-2) -5/2 What is the value of ((-6)/9)/(((-80)/6)/4)? 1/5 Evaluate 39/13*3/(27/(-4)). -4/3 3/(9/((-3)/(-1))) 1 Evaluate 14*6/(-48)*(-4)/(-1). -7 What is the value of (-24)/(-2)*(-11)/(-66)? 2 What is the value of (10/12)/(145/261)? 3/2 What is the value of ((-10)/(-90))/(2/(-3))? -1/6 Calculate ((-8)/32)/(3/4). -1/3 What is the value of ((4/5)/2)/(11/(-110))? -4 ((-3)/2)/((-1)/(-2)) -3 Calculate 2*((-22)/20)/11. -1/5 3/(-96)*-16*2/(-5) -1/5 (2/4)/(-1)*12/(-1) 6 What is the value of (-2)/(-12)*(-4)/(-20)*4? 2/15 ((6/10)/(12/(-30)))/(-12) 1/8 (2/(-6))/((-13)/468*6) 2 What is 3/((-2)/((-2)/(-5))*-1)? 3/5 Calculate ((0/(-1))/(-3))/2. 0 What is ((-6)/24*-6)/((-3)/3)? -3/2 What is the value of ((14/6)/7)/1*-3? -1 Calculate 1/(14/(-21))*(-2)/12. 1/4 What is the value of (385/110)/(1/(-2))? -7 Calculate (-1332)/1036*14/(-12). 3/2 Calculate ((-32)/(-12))/(5/(15/(-2))). -4 Calculate ((-6)/(-5))/(((-63)/(-30))/(-7)). -4 What is 6*(-10)/(-30)*(-5)/(-2)? 5 Evaluate (5/5)/(-1)*3/(-3). 1 Calculate ((-328)/(-205))/(2/(-10)). -8 Evaluate (-5)/5*(-25)/5. 5 What is the value of ((-1)/(-4))/(((-462)/22)/(-588))? 7 Calculate ((-3)/(-96)*12)/(18/(-24)). -1/2 What is the value of (-4)/4*0/(-9)? 0 What is the value of ((-6)/(-27))/((-18)/81)? -1 What is 9*(-2)/((-8)/(-2))*2? -9 Calculate (2/(-2))/((-17)/68). 4 What is ((-60)/(-24))/(-2*(-1)/4)? 5 Evaluate (7/(-14))/(4/(-8)). 1 Calculate 14/245*-5*1/2. -1/7 Evaluate 9/3*5*(-3)/(-9). 5 Evaluate (2/(-15))/(((-20)/6)/(-10)). -2
{ "pile_set_name": "DM Mathematics" }
2. Let z(g) be the third derivative of n(g). Let r(p) = -p. Calculate z(r(h)). 3*h Let u(o) = -o**2. Let i(y) = -304765*y. Determine i(u(d)). 304765*d**2 Let f(r) = -10*r**2. Let o(u) be the first derivative of u**4/6 - 3*u - 5. Let y(g) be the first derivative of o(g). What is f(y(p))? -40*p**4 Let t be 30/(-180)*(-66)/1. Let n(q) = -15*q - t*q - 13*q + 41*q. Let a(y) = -y - 1. Let h(f) = -3*f**2 - f - 1. Let i(l) = -3*a(l) + 3*h(l). Give n(i(b)). -18*b**2 Let g(r) = 82*r**2 - 3*r - 2. Let w be g(-1). Let v(i) = w - 83 - 3*i**2 - 5*i**2. Let f(p) = 5*p. Determine f(v(k)). -40*k**2 Let w(o) = -34*o**2. Let m(z) = -16*z + 23*z - 6*z. Give w(m(c)). -34*c**2 Let b(s) = -4*s. Let v(y) = 28066*y + 2. Calculate b(v(a)). -112264*a - 8 Let b(y) be the third derivative of -y**5/60 - 7*y**2 - 36. Let r(q) = -132*q**2. Calculate b(r(o)). -17424*o**4 Let o(f) be the second derivative of -f**4/4 - f. Let u(d) = 1414*d - 744*d - 667*d. Calculate o(u(j)). -27*j**2 Let l(y) = -2*y. Let a(b) = -222*b**2 + 2*b + 74. What is a(l(w))? -888*w**2 - 4*w + 74 Let w(l) be the third derivative of 16*l**2 + 1/24*l**4 + 0*l + 0*l**3 + 0. Let s(q) = 5*q**2 + 3*q - 3*q. What is s(w(o))? 5*o**2 Let m(f) = 14*f**2. Let y(g) = 32*g**2 - 25. Determine y(m(i)). 6272*i**4 - 25 Let z(b) = 9*b. Let y(o) = -o**2 + 1. Let g(d) = 4*d**2 - 5. Suppose 8*c = 11*c + 15. Let t(p) = c*y(p) - g(p). Give z(t(r)). 9*r**2 Let b(r) = r. Let s(f) = -635*f**2 - 6*f - 24. Let h(k) = 890272*k**2 + 8411*k + 33644. Let c(j) = 6*h(j) + 8411*s(j). Give b(c(v)). 647*v**2 Let c(y) = y**2 + 8. Let g(s) = -3*s - 36*s**2 + 35*s**2 + 5*s - 2*s. Give g(c(h)). -h**4 - 16*h**2 - 64 Let q(i) = -29*i + 90. Let c(t) = 8*t - 23. Let u(k) = -22*c(k) - 6*q(k). Let z(m) = 3*m**2. Determine z(u(s)). 12*s**2 + 408*s + 3468 Let m(u) = 0 + 3 + 8*u**2 - 3 - 7*u**2. Let z(r) = 3*r**2 + 13*r. What is m(z(j))? 9*j**4 + 78*j**3 + 169*j**2 Let c(s) be the first derivative of -15*s**2/2 + 97. Let d(w) = -w**2. What is c(d(p))? 15*p**2 Let p(n) = -21*n - 124. Let g(k) = -285*k**2. Give p(g(z)). 5985*z**2 - 124 Let m(s) = -75*s + 455. Let p(r) = 9*r**2. Give m(p(t)). -675*t**2 + 455 Let n(a) = 3*a**2 - 38*a. Let x(f) = -4*f**2 + 30*f**2 - 24*f**2. Calculate n(x(q)). 12*q**4 - 76*q**2 Let g(f) = 5*f - 4. Let u(k) = -82*k. Determine u(g(a)). -410*a + 328 Let s(b) = b. Let f(a) = a**2 + a - 6388. What is f(s(v))? v**2 + v - 6388 Let z(q) = 24*q**2. Let i(m) be the third derivative of 0 + 1/12*m**4 - m**2 + 0*m**3 + 0*m. Determine z(i(r)). 96*r**2 Let d(z) = 94*z**2 - 63*z + 79*z**2 + 63*z. Let h(n) = 4*n. What is h(d(v))? 692*v**2 Let l(j) = -2*j - 5. Let t(v) = 5*v**2 + 4. Let h be t(2). Let a = -14 + h. Let m(n) = -n - 2. Let k(q) = a*m(q) - 4*l(q). Let z(p) = -3*p**2. Give z(k(w)). -12*w**2 Let i(g) = -7*g**2. Let o(t) = t**3 + 5*t**2 + t - 10. Let q be o(-4). Let l(j) = -3*j**q + 7*j**2 - 2*j**2. Calculate l(i(h)). 98*h**4 Let s = 0 + 2. Let a(n) = 21*n**s + 26*n**2 - 49*n**2. Let y(i) = 4*i**2. Determine a(y(k)). -32*k**4 Let j(y) = y**2. Let s(l) = l**2 + 8*l + 2. Let d be s(-8). Let t(h) = 21 - 21 + 0*h**2 + 4*h**d. What is t(j(u))? 4*u**4 Let q(k) be the third derivative of 0*k**3 + 0*k - 27*k**2 + 0 + 0*k**4 + 1/30*k**5. Let o(b) = -b**2 + 9. Calculate o(q(y)). -4*y**4 + 9 Let y(i) = 5*i**2. Let s(f) = -5*f**2 - 2*f - 2. Let a(w) = -352*w**2 - 143*w - 143. Let n(k) = -2*a(k) + 143*s(k). Calculate y(n(j)). 605*j**4 Let o(z) = -12*z**2 + 3*z**2 + 6*z**2. Let q(f) be the first derivative of -3/2*f**2 + 1 + 0*f. Determine q(o(k)). 9*k**2 Let k(z) = 8*z**2. Let r(h) = 3*h - 35 + 21 + 14. Give k(r(l)). 72*l**2 Let v(p) = 93*p**2 + 7*p + 7. Let w(f) = -62*f**2 - 5*f - 5. Let n(m) = -5*v(m) - 7*w(m). Let c(k) = 9*k. What is c(n(l))? -279*l**2 Let n(v) = -11*v - 5. Let d(x) = 52 + 17*x - 25 - 19. Let z(r) = 5*d(r) + 8*n(r). Let h(f) = -2*f. Give h(z(i)). 6*i Let u(y) = 9*y. Suppose 8*n - 20*n = -24. Let k(b) = -7*b + 7*b - b - n*b. Calculate k(u(t)). -27*t Let u(o) = -3*o**2. Let w(q) be the third derivative of 9*q**5/20 - q**4/24 + 152*q**2. Calculate w(u(c)). 243*c**4 + 3*c**2 Let g(n) = 8*n. Let i(c) be the third derivative of 5/24*c**4 + 0*c**3 + 0*c + 35*c**2 + 0. Give g(i(v)). 40*v Let o(b) = 22*b**2 + 10*b**2 - 25*b**2. Let z(d) = 26*d. What is o(z(n))? 4732*n**2 Let z(d) = -19*d**2 - 5*d - 5. Suppose -3*h - 16 = i - 3, -4*i + 8 = 0. Let o(l) = 19*l**2 + 6*l + 6. Let s(p) = h*o(p) - 6*z(p). Let t(v) = -v. Give t(s(x)). -19*x**2 Suppose 0 = m - 2*o, m - 4*m + 2*o = -4. Let f(z) = 74 + m*z - 74 - 15*z. Let d(b) = 3*b**2. Calculate f(d(j)). -39*j**2 Let k(m) = -m**2 - 12. Let i(w) = -2*w**2 - 26. Let q(u) = -6*i(u) + 13*k(u). Let r(l) = -53*l - 4. Calculate r(q(z)). 53*z**2 - 4 Let k(m) = -8 - 140*m - 8 + 24 - 5 - 5. Let l(r) = -2*r. Give l(k(f)). 280*f + 4 Let f(t) = 113*t. Let s(w) = 143*w. What is f(s(c))? 16159*c Let m(g) = 5*g. Let a(r) be the second derivative of 5*r**3 - r**2 + 2*r - 15. What is a(m(t))? 150*t - 2 Suppose -10*o + 145 = -5*o. Let z(t) = -10*t + o*t - 14*t. Let r(i) = -5*i. Determine z(r(d)). -25*d Let n(c) = 21*c. Let h(l) = 73*l**2 - 37*l. Determine h(n(d)). 32193*d**2 - 777*d Let j(m) be the first derivative of -43*m**2/2 - 74. Let r(h) = h. Calculate r(j(k)). -43*k Let a(t) = 4*t**2 - 14*t + 7. Let n(f) = 3*f**2 - 10*f + 5. Let h(q) = 5*a(q) - 7*n(q). Let w(x) = -39*x. Determine h(w(y)). -1521*y**2 Suppose 11 = 4*i + 3. Suppose -3*r = 2*v + 5, -2*v - 177*r + 182*r = -19. Let q(g) = -3*g**v - 3*g**i + 2*g**2. Let d(k) = -2*k. What is d(q(t))? 8*t**2 Let o(c) = 2*c. Let y(k) = -50*k - 6. Let u(i) = -149*i - 21. Let p(q) = 6*u(q) - 21*y(q). Determine p(o(f)). 312*f Let k(p) = p. Let i(h) = -46*h**2 - 4*h - 181. Calculate k(i(q)). -46*q**2 - 4*q - 181 Let l(z) = 26*z - 544. Let g be l(21). Let y(t) be the third derivative of 0*t**3 + 12*t**g + 0*t + 0 - 1/12*t**4. Let f(h) = 5*h**2. Calculate f(y(x)). 20*x**2 Let t(i) = -13*i. Let w(y) = -34441*y**2. Give t(w(r)). 447733*r**2 Let m(p) = -2*p**2. Let v(g) = 2*g + 16. Let l = -8 - 0. Let o be v(l). Let j(y) = -4*y - 6*y + o*y. Give j(m(n)). 20*n**2 Let d(b) = 2*b**2. Let k be 133/(-8) - -20 - 3/8. Let n(l) be the second derivative of 5/6*l**k + 0*l**2 + 0 + 6*l. Calculate n(d(v)). 10*v**2 Let m(y) be the first derivative of -4*y**3/3 + 163. Let k(z) = -6*z. Determine m(k(f)). -144*f**2 Let n(a) = 4*a - 5. Let o(v) = v - 1. Suppose 28*z - 25*z = 3. Let t(j) = z*n(j) - 5*o(j). Let w(l) = 22*l. What is w(t(d))? -22*d Let d(x) = 13*x - 173 + 173 + 8*x. Let h(r) = 16*r. What is h(d(n))? 336*n Let l(g) = 1405*g + 20. Let j(f) = 2*f**2. Calculate j(l(h)). 3948050*h**2 + 112400*h + 800 Let z(g) = -5*g. Let i(n) = -4*n**2 + 6*n - 7. Let d(v) = v**2 - v - 1. Let q(p) = -6*d(p) - i(p). Let r(k) be the first derivative of q(k). Determine z(r(x)). 20*x Let m(n) = -2*n. Let l(c) be the third derivative of -c**6/40 - 2*c**3 + c**2. Let s(p) be the first derivative of l(p). Determine m(s(h)). 18*h**2 Let h(d) = 3*d**2 - 25803*d + 9. Let m(q) = -q. Calculate h(m(l)). 3*l**2 + 25803*l + 9 Let z(u) = u - 23. Let s(m) = -152*m - 1. Determine z(s(i)). -152*i - 24 Let o(a) = 3*a. Let h(k) = 52*k - 24. Calculate o(h(m)). 156*m - 72 Let k(w) = w. Let j(r) be the third derivative of r**7/840 - r**6/360 - 7*r**5/30 - 30*r**2. Let o(v) be the third derivative of j(v). Give k(o(q)). 6*q - 2 Let x(s) = -s. Let o(a) = 1920*a - 4. Determine o(x(g)). -1920*g - 4 Let l(q) = -213*q. Let g(d) = -411*d. Give l(g(w)). 87543*w Let k(h) = -310*h. Let g(l) = -30*l - 1. Give k(g(m)). 9300*m + 310 Let k(n) = 2*n**2. Let h(a) be the second derivative of a**5/30 - 17*a**3/6 + a**2 + 2*a. Let r(f) be the first derivative of h(f). What is r(k(v))? 8*v**4 - 17 Let h(c) be the first derivative of 2*c**3 + 1. Let d(g) be the third derivative of g**5/20 + 27*g**2. Determine d(h(l)). 108*l**4 Suppose j + 15 = 5*g - 2, -4*j + 2*g = -4. Let x(w) be the second derivative of 0*w**j + 4*w + 0*w**2 + 5/12*w**4 + 0. Let l(c) = 5*c. Determine x(l(q)). 125*q**2 Let n(d) = -3481*d. Let p(u) = 485*u**2. What is n(p(z))? -1688285*z**2 Let y(l) = -2*l**2. Let p(t) = -67923*t. What is p(y(i))? 135846*i**2 Let g(j) = 6*j + 5. Let m(b) = b + 1. Suppose -3*r - 13 = 2*r + 2*p, -p = 2*r + 6. Let n(u) = r*g(u) + 5*m(u). Let
{ "pile_set_name": "DM Mathematics" }
= b*x(i) + 11*h(i). Determine m(-5). 9 Suppose -4*g = -12 - 4. Let t(x) = -x**2 + 3*x + 5. Determine t(g). 1 Let v(u) = u**2 + 1. Let q(y) = 2*y**2 - 3*y. Let h(i) = q(i) - v(i). Let j = 3 - 0. Give h(j). -1 Let x = -11 - -14. Let v(b) = -x*b + 1 + 2 + 0*b. Give v(2). -3 Let d(j) = 3*j - 7. Let i(y) = y**2 + 2*y - 3. Let g(h) be the first derivative of h**2/2 + 10*h + 2. Let b be g(-8). Let v be i(b). Calculate d(v). 8 Let l(u) be the third derivative of u**5/60 + 5*u**4/24 - u**3/3 + 41*u**2. What is l(-5)? -2 Suppose 7*d - 4*d - 15 = 0. Suppose 2*f + 5*b = b + 18, 4*f - 10 = d*b. Let n(z) = 38 - 16 - 15 - z. What is n(f)? 2 Let k(g) be the second derivative of g**3 + g**2 + 3*g. Let z = 1 - 1. Suppose 0 = -2*y + 3*y - 4, z = -5*n - 5*y + 10. What is k(n)? -10 Let h(f) = -7*f - 35. Let r(z) = 3*z + 18. Let q(u) = -4*h(u) - 9*r(u). What is q(9)? -13 Let k(a) be the first derivative of -a**4/4 - a**3 + a + 4. Calculate k(-3). 1 Let m(j) = -7*j + 1. Let r(b) be the third derivative of -7*b**4/24 + b**3/6 + b**2. Let p(z) = 4*m(z) - 5*r(z). Calculate p(1). 6 Let b(v) be the third derivative of v**5/60 - v**4/3 + 3*v**3/2 - v**2. Determine b(6). -3 Let b(o) = o**3 + 6*o**2 + 3*o - 5. Let j be b(-5). Suppose -3*k + i - 5*i + 8 = 0, 4*k = 2*i + 18. Let w(l) = -2 - l**2 + 12*l - l - k*l - 4. What is w(j)? 4 Let k(j) = -2*j**2 + 4*j. Let f be k(3). Let g(i) = i**2 + 5*i - 7. Determine g(f). -1 Let m = 5 + 0. Let r(c) = c**3 + 3*c**2 - c - 1. Let g be r(-3). Let b(a) = -g*a + a - a + 5 - a. What is b(m)? -10 Let w(h) = h**2. Let i(r) = -5*r**2 + 7*r - 9. Let q(p) = -p + 1. Let u be q(5). Let f(t) = u*w(t) - i(t). Calculate f(6). 3 Let j(q) = -5*q**2 + 121*q - 113*q + 6 + 6*q**2. What is j(-6)? -6 Let j(z) = z**3 + 2*z**2 - 3*z + 2. Suppose 0 = -2*l - 2*g, -4*g + 4 + 8 = 0. Calculate j(l). 2 Let w(a) = a**2 - 2*a + 5. Let v(d) = -3*d**2 + 5*d - 11. Let n(j) = -4*v(j) - 9*w(j). Calculate n(-2). 15 Suppose r = 6*r - 5. Let z(o) be the third derivative of -o**6/60 - o**4/24 + o**3/6 - 3*o**2. Give z(r). -2 Let c(o) be the first derivative of 5/2*o**2 + 2*o + 1. Give c(-2). -8 Let z(b) = b**3 - b + 1. Suppose -8 = 3*v - 5*v. Suppose 3*w + v*g + 6 = 0, -w - 6*g - 13 = -g. Let s be (2/(-3))/(w/6). What is z(s)? -5 Let r(p) = -p. Let x(u) = -16*u - 4. Let o(y) = -20*r(y) + x(y). Calculate o(-4). -20 Let p(w) = w**3 + 4*w**2 - 3*w - 3. Suppose -5*i = 4*b + 35, 3*b - 10 = -2*i - 31. Determine p(b). -13 Let s(a) = a - 6. Let c(w) = -w**3 - 10*w**2 - 8*w + 12. Let u be c(-9). Suppose -y + u*y + 2 = 0. Let t(f) = 1. Let j(b) = y*s(b) - 6*t(b). What is j(-2)? 2 Let u(v) = -6*v + 40. Let f(w) = -w + 8. Let m be (-18)/3 + 2 + 2. Let b(n) = m*u(n) + 11*f(n). Let i = 0 + -4. Calculate b(i). 4 Let x(f) = 3*f**2 - 5*f. Let y(i) = 2*i**2 - 5*i. Let s(w) = 3*x(w) - 4*y(w). Calculate s(-4). -4 Let b(x) = x - 8. Let q be (-16)/10 - (-10)/(-25). Let s = q + 2. Give b(s). -8 Let v(g) be the third derivative of -g**9/60480 + g**8/4032 - g**7/5040 + g**6/360 - g**5/12 - 3*g**2. Let l(k) be the third derivative of v(k). Give l(5). -3 Let a(h) be the second derivative of 5*h**3/6 - h**2/2 + 12*h. Determine a(-1). -6 Let g(y) = 2*y + 4 - 5 - 2*y + 3*y. Give g(-2). -7 Let z(o) = -o - 3. Suppose v + 2*w + 4 = -0*v, 4*v - 5*w = -3. Let f(t) = 2*t**2 + t - 2. Let i be f(v). Let g = 7 - i. Determine z(g). -6 Let k(o) = -202 + 192 + o - 2*o. Let l = -3 + -2. Determine k(l). -5 Let h(u) = -u + 2. Let b(o) = -2*o + 3. Let s(q) = 2*b(q) - 5*h(q). Calculate s(3). -1 Let b(p) = 9*p. Suppose -7*q + 12 = -4*q. Suppose q*c = 3*c + 1. What is b(c)? 9 Let n(t) = t**3 - 7*t**2 - 3*t + 15. Let u be n(7). Let w(f) = -f**3 - 6*f**2 - 2*f - 9. What is w(u)? 3 Let k(c) = -4*c**2 - c. Let h be k(1). Let n(g) be the third derivative of g**6/120 + g**5/10 + 5*g**4/24 - 2*g**3/3 - g**2. Calculate n(h). -4 Let m(x) = -x + 7. Let b be m(5). Let c be 2/4 - 7/(-2). Let a(u) = -c - u + b + 0*u. Calculate a(0). -2 Let w(r) = r**3 - 3*r + 4*r**2 + 4*r**3 + 1 - 9*r**3 + 3*r**3. Suppose 8*q - 20 = 3*q. Calculate w(q). -11 Let p(k) = -1 + 7*k - k**2 + 6*k**2 - 6*k**2. Give p(4). 11 Let v(p) = 5*p**2 + 2*p + 1. Let n(s) = 4*s**2 + 3*s. Let x(l) = 4*n(l) - 3*v(l). Suppose -r - 5 = 0, 3*u - 5*r - 55 = 8*u. What is x(u)? -3 Let o(x) = 2*x - x - 10 + 8. What is o(5)? 3 Let k = -15 - -18. Let y(d) = 0 + 2 - 6*d - d**2 + k - 8. Let c be -7 + (0 - (2 - 4)). Calculate y(c). 2 Let r(s) = -2*s**2 - 3*s + 3. Suppose -5*m + c = -2*c + 6, 3*c = 2*m - 3. Let p be r(m). Let q(l) = -l**2 - 5*l - 9. Calculate q(p). -15 Let c(a) = 3*a**3 - a**2 + a. Let i = 0 - 0. Let q be 3 - ((-40)/(-5) + -4). Let h = i - q. What is c(h)? 3 Let p be ((-4)/(-2 + 0))/(4/(-6)). Let c(d) = 5*d**2 + d**3 + 4*d - 2 + 3 + 0*d**3. Determine c(p). 7 Let h(d) be the third derivative of d**6/120 - d**5/15 + d**4/24 - d**3/3 - 9*d**2. Let q(l) = -l + 13. Let y be q(11). Calculate h(y). -8 Suppose -44 = 4*g + 4*r, -37 = 5*g + r - 2. Let h be (-2)/g*1*3. Let m(j) = -4*j**3 - j**3 + 10*j**3 - j**2 + h. What is m(1)? 5 Let v = -9 + -3. Let k be ((-8)/24)/((-2)/v). Let u(h) = -h**3 - 2*h**2 - 3*h - 2. Determine u(k). 4 Let t = 1 + -1. Let r(w) = -4*w + t*w + 3*w. Let n be r(0). Let h(p) = -p**2 - p + 7. Determine h(n). 7 Let o(w) = -w + 4. Let g be (-3)/2 - (-21)/2. Let i = -14 + g. Give o(i). 9 Suppose 4*x = -2*x + 24. Suppose -x = 3*y - 10. Let t(a) = a**2 - 2*a - 1. Determine t(y). -1 Let m(u) = -u**2 + 6*u + 7. Let i be m(5). Let r be ((-15)/i)/(3/12). Let h(c) = -c**2 - 6*c + 6. What is h(r)? 11 Let w(u) = -u + 8. Let l be (-2)/((-2 - -1)*2). Suppose 4*g + 4*c = -28, -c + l = 4*g + 20. Let a be (-1 - 0)*(g - 0). Determine w(a). 4 Let i(t) = -t**3 + t**2 + t. Let r(g) = 3*g**3 + g**2 - 4*g. Let u(l) = -2*i(l) - r(l). Calculate u(-3). -6 Let l(v) = -13*v - 3. Let o(a) = 7*a + 1. Let n(u) = 6*l(u) + 11*o(u). Let m(y) = -2*y - 8. Let c(h) = 6*m(h) - 7*n(h). Calculate c(-1). 6 Let m(r) = r**3 - r + 5. Let w = 11 - 0. Suppose w*n = 6*n. Determine m(n). 5 Let n(f) = f - 11. Let i be -5*(-2 - (-31)/5). Let m be ((-28)/i)/((-4)/(-18)). What is n(m)? -5 Let q(j) = -2*j + 12. Suppose 18 = 16*x - 14*x. Give q(x). -6 Let s(j) = j**3 - 6*j**2 + 4*j + 1. Let d(p) = -p**2 + 5*p + 6. Let r be d(6). Suppose r*y = -y + 5. Give s(y). -4 Let q = -130 + 129. Let t(i) = 3*i**2 + i. Give t(q). 2 Let f(l) be the third derivative of l**5/60 - 3*l**4/8 + 5*l**3/6 - 7*l**2. Let q(z) = z**2 - 9*z + 6. Let t(n) = -5*f(n) + 4*q(n). Give t(8). 7 Let p(q) = q + q + q + 0*q - 7. What is p(5)? 8 Let z(g) = 3*g**2 + 2*g**3 + g**3 - 4*g**3 + g + 4*g**2 - 6. Determine z(7). 1 Let a(f) = f**2 - 3*f - 9. Let s be a(4). Let n(c) = c**3 + 4*c**2 - 5*c - 5. Calculate n(s). -5 Let w(h) be the first derivative of h - 3 + h**3 - 1/2*h**2. Give w(1). 3 Let s(w) = -2*w**3 - 2*w**2 + w - 2. Suppose 4*l - 8 = 4*g, -g - 2*l + 1 = 3. Calculate s(g). 4 Let k(z) = -z. Let o(b) = -4*b - 1. Let p(q) = -q**3 + 12*q**2 - 10*q - 12. Let t be p(11). Let m(f) = t*o(f) + 6*k(f). What is m(1)? -1 Suppose -4*c + 4 + 10 = d, 2*c + 2*d - 4 = 0. Suppose 2*i + 48 = 5*i. Let v(o) = 1 + i*o - 18*o + 3. Give v(c). -4 Let y(p) be the second derivative of p**4/12 + p**3/2 - 7*p. Determine y(-4). 4 Let y(g) = g**2 + 8*g + 3. Suppose w - 2*w = 10. Let b be w/(-6)*(-2 + -1). Calculate y(b). -12 Let s(j) = -2*j**2 - 2*j - 3. Suppose -10 = -2*d - 4*h, -3*h = 4*d - 0 - 15. Let w = d + -2. Suppose w = -2*x - 3. Determine s(x). -7 Let j be 48/22 + 6/(-33). Let i be 3 - (j - -1 - 0). Let r(p) = -p**2 + p + 2. What is r(i)? 2 Let d(j) = -76*j**2 + 152*j**2 - 1 - 78*j**2. What is d(1)? -3 Let p(c) = 0 - 2*c - 7 + 17 - 2. Calculate p(6). -4 Let z = 1 + -2. Let j be z - (2 - (1 - -1)). Let m(h) = -6*h**3 - h**2 - h - 1. Give m(j). 5 Let h(d) = 0 + 5 - d + 3 + 0. Determine h(6). 2 Let h = 11 - 6. Suppose -4*a + 36 = -4*d, h*a - 33 = -3*d - 12. Let w(p) = -2*p + 8. Give w(a). -4 Let f(b) = b**3 + 3*b**2 - 4*b - 4. Let g(w) = 5*w**3 - w**2 - 3*w - 1. Let n be g(-1). What is f(n)? -4 Let k(s) = -s**3 + 1. Let v(w) = -4*w**3 + 6*w**2 - 4*w + 9. Let j(r) = 3*k(r) - v(r). Give j(5). -11 Let p(l) = 14*l - 4 - 22*l - l**3 + 13*l + 3*l**2. What is p(3)? 11 Let a = -19 - -28. Let f(m) = m**2 - 4*m + 4. Let h(c) = 4*c**2 - 16*c + 16. Let v(u) = a*f(u) -
{ "pile_set_name": "DM Mathematics" }
11*j(o). Solve p(r) = 0 for r. -3 Let q(u) be the second derivative of u**6/105 - 3*u**5/70 + u**4/14 - u**3/21 - 17*u. Suppose q(l) = 0. What is l? 0, 1 Let z(k) be the first derivative of 1/5*k**2 - 1/5*k**3 + 1/10*k**4 - 2*k - 1/50*k**5 + 1. Let g(f) be the first derivative of z(f). Factor g(t). -2*(t - 1)**3/5 Determine i, given that -8*i**2 + 86 - 86 - 16*i**3 - i = 0. -1/4, 0 Let s(w) be the third derivative of -8*w**7/21 - 7*w**6/3 - 73*w**5/12 - 35*w**4/4 - 15*w**3/2 + 3*w**2. Determine d so that s(d) = 0. -1, -3/4 Let r(b) be the second derivative of -b**5/100 - b**4/30 - b**3/30 - 8*b. Solve r(i) = 0 for i. -1, 0 Factor -2/11*l - 2/11*l**3 + 0 - 4/11*l**2. -2*l*(l + 1)**2/11 Let z(i) be the first derivative of 2/3*i**3 + 6*i + 3 - 4*i**2. What is c in z(c) = 0? 1, 3 Factor -6*n**2 - 3*n**4 - 952*n + 15*n**2 + 946*n. -3*n*(n - 1)**2*(n + 2) Suppose 0 = -6*j - 0*j. Let n(v) be the third derivative of 0*v + 1/30*v**5 - 1/6*v**4 + j + 2*v**2 + 0*v**3. Suppose n(u) = 0. Calculate u. 0, 2 Let k(b) be the second derivative of 0*b**2 + 5*b + 1/10*b**6 + 5/4*b**4 + 0 + 3/5*b**5 + b**3. Factor k(l). 3*l*(l + 1)**2*(l + 2) Let o = -63 + 67. Let k(i) be the second derivative of 1/12*i**3 + 0*i**2 - 1/48*i**o - 3*i + 0. Factor k(w). -w*(w - 2)/4 Suppose -92*u**3 + 77*u**3 + 5*u**2 + 5*u**2 + 5*u**5 = 0. Calculate u. -2, 0, 1 Factor -20*s**3 - 2*s**4 - 19*s**3 + 6*s**2 + 4*s**4 + 47*s**3. 2*s**2*(s + 1)*(s + 3) Let c(s) be the second derivative of 1/10*s**6 + 0*s**2 + 1/2*s**3 - s + 9/20*s**5 + 3/4*s**4 + 0. Factor c(h). 3*h*(h + 1)**3 Find z such that 0 - 2*z**2 - 28/13*z**3 - 10/13*z**4 - 8/13*z = 0. -1, -4/5, 0 Let m(u) be the second derivative of -u**5/100 + u**4/40 - u**2 - 8*u. Let k(z) be the first derivative of m(z). Let k(b) = 0. What is b? 0, 1 Let g be 14/6 - 4/12. Let a(b) be the third derivative of 0 + 0*b + 0*b**6 - 1/105*b**5 - 3*b**g - 1/1176*b**8 + 1/84*b**4 + 2/735*b**7 + 0*b**3. Factor a(q). -2*q*(q - 1)**3*(q + 1)/7 Let w(m) be the second derivative of 0*m**3 + 1/25*m**6 + 7*m - 1/25*m**5 + 0 - 1/105*m**7 + 0*m**4 + 0*m**2. Factor w(q). -2*q**3*(q - 2)*(q - 1)/5 Suppose -2*t + 23 = 5*r, 2*t - 4*r = -3*t + 107. Factor -4 - 5*a**2 + 13*a - t*a + 7*a**3 - 10*a. (a - 2)*(a + 1)*(7*a + 2) Suppose 3*z - 3 - 27 = 0. Find d such that z - 2 - 1 + 5 + 3*d**2 + 12*d = 0. -2 Suppose 3*w + 2*w - 19 = -3*g, 12 = 4*w + 4*g. Suppose -2*o - 3*p + 27 = -0*p, -5*o - p + 35 = 0. Solve w*a**2 - a + 1 - o*a**2 + 0*a + a**3 = 0. -1, 1 Suppose o - 5*b = 2*o + 61, b + 149 = -4*o. Let w be (4/o)/(1/(-3)). Suppose 0 + 0*x**2 - w*x**3 + 1/3*x = 0. Calculate x. -1, 0, 1 What is j in -28 + 15 - 3*j + 17 - j**2 = 0? -4, 1 Let q(z) be the first derivative of 2*z**6/15 + 4*z**5/5 + 5*z**4/3 + 4*z**3/3 - 3*z + 7. Let f(p) be the first derivative of q(p). Let f(l) = 0. What is l? -2, -1, 0 Let f(i) be the third derivative of -i**5/3 + 3*i**4 + 16*i**3/3 - 2*i**2. Factor f(h). -4*(h - 4)*(5*h + 2) Let x(c) = c**2 - 1. Let f(j) = j**2 - j - 4. Let u(s) = -f(s) + 6*x(s). Let d(o) = -11*o**2 - o + 5. Let i(g) = -2*d(g) - 5*u(g). What is a in i(a) = 0? -1, 0 Let s(o) be the second derivative of 3*o**7/70 + o**6/10 + 3*o**5/100 - o**4/20 + 4*o. Factor s(x). 3*x**2*(x + 1)**2*(3*x - 1)/5 Let b(k) be the third derivative of 0*k**5 + 0 + k**2 + 0*k + 0*k**4 + 1/140*k**7 + 0*k**3 - 1/80*k**6. Determine z so that b(z) = 0. 0, 1 Let n(f) = -f**2 + 7*f - 8. Let i be n(4). Let r be i + (540/16)/(-9). Let h**2 + 0 + r*h**3 + h = 0. Calculate h. -2, 0 Let j(s) be the third derivative of -s**8/504 - s**7/105 - s**6/90 + s**5/45 + s**4/12 + s**3/9 + 5*s**2. Suppose j(i) = 0. What is i? -1, 1 Let l = 89 + -89. Let t(z) be the first derivative of -1/9*z**6 + 1/6*z**4 - 3 + 0*z**5 + 0*z**3 + l*z**2 + 0*z. Factor t(f). -2*f**3*(f - 1)*(f + 1)/3 Let l(z) = 39*z**5 + 6*z**4 - 158*z**3 - 10*z**2 + 41*z - 8. Let w(s) = s**5 + s**4 - s**3 - s. Let c(k) = -5*l(k) + 15*w(k). Suppose c(n) = 0. What is n? -2, -2/3, 1/4, 1/3, 2 Factor 0*p + 0 + 2/7*p**2. 2*p**2/7 Let t(j) be the second derivative of 0 + 0*j**2 + 3/100*j**5 - 1/10*j**3 + 0*j**4 + j. Find k, given that t(k) = 0. -1, 0, 1 Let x(n) be the second derivative of n**5/240 - n**4/16 + 3*n**3/8 + 3*n**2/2 + 2*n. Let o(h) be the first derivative of x(h). Let o(g) = 0. Calculate g. 3 Let d(b) = -b**2 - b. Let i(u) = -4*u**2 - 2. Let w(z) = -3*d(z) + i(z). Suppose w(y) = 0. What is y? 1, 2 Let y = 25/6 - 4. Let j(m) be the second derivative of -y*m**4 - 3*m - 1/40*m**5 - 5/12*m**3 - 1/2*m**2 + 0. Factor j(q). -(q + 1)**2*(q + 2)/2 Let i(w) be the second derivative of w**5/70 - w**4/21 + w**3/21 - 10*w. Factor i(t). 2*t*(t - 1)**2/7 Let v = 592/2637 - 2/879. Factor 0 + 0*u**2 - v*u + 2/9*u**3. 2*u*(u - 1)*(u + 1)/9 Let p be 2/(-3 + (-14)/(-4)). Let 54*q**2 - 24*q**3 + 8 - q**3 - 44*q + 8*q**4 - p*q**4 = 0. What is q? 1/4, 2 Let i(f) = f**2 - 3*f - 2. Let b be i(-1). Suppose -b*g = -0*g. Let 0 - 2/5*c**5 + 0*c**2 + 2/5*c**3 + g*c**4 + 0*c = 0. What is c? -1, 0, 1 Factor -8/3 - 16/3*a + 2/3*a**4 + 4/3*a**3 - 2*a**2. 2*(a - 2)*(a + 1)**2*(a + 2)/3 Suppose -5*r - 28 + 38 = 0. Let m(u) be the first derivative of -2/21*u**3 - 3 - 4/7*u + 3/7*u**r. Factor m(h). -2*(h - 2)*(h - 1)/7 Let b(a) be the second derivative of -a**5/30 + a**4/6 - a**2 + a. Let p(q) be the first derivative of b(q). Determine n so that p(n) = 0. 0, 2 Let f(i) be the third derivative of -i**7/5040 - i**6/720 - i**5/240 - i**4/24 + 3*i**2. Let y(v) be the second derivative of f(v). Factor y(z). -(z + 1)**2/2 Factor 3/4 - 7/8*c + 1/8*c**2. (c - 6)*(c - 1)/8 Let -1/2 + 3/4*k**2 - 1/4*k = 0. What is k? -2/3, 1 Factor 1 + 7*y - y**2 - 9*y - 2. -(y + 1)**2 Factor 0*z - 8/5*z**4 + 0 - 26/5*z**3 - 6/5*z**2. -2*z**2*(z + 3)*(4*z + 1)/5 Let z(n) = 4*n + n**2 - 4*n. Let k be 1/(-2 - (-2 + -1)). Let h(t) = -10*t**2 - 2. Let y(i) = k*h(i) + 12*z(i). Determine p so that y(p) = 0. -1, 1 Let i = -62 + 65. Let o(t) be the second derivative of -i*t + 0*t**3 + 1/12*t**4 + 0 + 0*t**2. Factor o(n). n**2 Determine z so that 1/9*z**3 + 0 + 0*z + 0*z**2 = 0. 0 Let k(i) be the third derivative of i**8/336 + i**7/21 + 3*i**6/10 + 14*i**5/15 + 4*i**4/3 - 2*i**2 - 43*i. Suppose k(l) = 0. What is l? -4, -2, 0 Let i = -578/5 - -116. Suppose 0 = -0*o + o. Determine h, given that 0 + o*h - i*h**2 = 0. 0 Suppose -2*b = -6*n + n + 30, -5*n + 40 = -4*b. Let v = b - -8. Factor 0*r**v + r**3 - r**3 + r**3. r**3 Suppose 6*j - 3 - 15/4*j**2 + 3/4*j**3 = 0. What is j? 1, 2 Suppose -5*p - 7 = -17. Factor 1/2 + 3*b**p + 9/4*b**3 - 11/4*b. (b + 2)*(3*b - 1)**2/4 Let q be (0/(-8))/6*2/4. Factor -1/5*m**2 - 1/5*m**3 + q*m + 0. -m**2*(m + 1)/5 Let n be (-15)/(-3)*(1 - 0). Let a(c) be the third derivative of 0 + 1/420*c**6 + 1/84*c**4 - 1/105*c**n + 0*c**3 + 0*c + c**2. Let a(t) = 0. Calculate t. 0, 1 Let s be 3/(-1) + ((-25)/(-15) - -2). Factor 5/3*i**3 + s*i - 7/3*i**2 + 0. i*(i - 1)*(5*i - 2)/3 Suppose 3*m - i - 3 + 2 = 0, -3*i + 15 = 0. Solve -2/3 + m*b - 2*b**2 + 2/3*b**3 = 0. 1 Suppose 0*h = h. Let p(c) be the first derivative of h*c - 3/10*c**5 - 1/6*c**3 - 3/8*c**4 - 1/12*c**6 + 0*c**2 - 2. Solve p(d) = 0 for d. -1, 0 Factor -106*w - 238*w**2 + 26*w**3 - 124*w**3 - 100*w - 50 + 16*w. -2*(w + 1)*(7*w + 5)**2 Suppose -5*j - 31 = -1. Let c = -1 - j. Factor 3*u**4 - u + 0*u**5 - 3*u**2 - u**4 + u**2 + u**c. u*(u - 1)*(u + 1)**3 Let f(y) = y**2 - 7*y + 3. Let l be f(7). Find d, given that 2*d - 5*d**3 + l*d**5 - d**5 + d**3 = 0. -1, 0, 1 Let p(l) be the second derivative of l**5/6 - 5*l**4/36 + 32*l. Determine g, given that p(g) = 0. 0, 1/2 Let x(a) be the first derivative of -4*a**3/3 + 6*a**2 + 1. Let x(z) = 0. What is z? 0, 3 Let i(k) = k**2 - 4*k + 4. Let j be (4 - 1) + 1 + 0. Let o be i(j). Find l, given that l**3 - o*l**4 + 3*l**4 - l**5 - l**2 + 2*l**4 = 0. -1, 0, 1 Suppose -2 = 3*z - 5. Factor -7/4*j**2 - z - 4*j. -(j + 2)*(7*j + 2)/4 Let g = -2/241 - -251/1205. Solve g*z**2 + 1/5*z**3 - 1/5*z - 1/5 = 0. -1, 1 Let z(j) be the second derivative of -j**5/150 + j**4/90 + 2*j**3/45 + 26*j. Find c such that z(c) = 0. -1, 0, 2 Let b(f) be the second derivative of -f**5/10 + f**4/3 + f**3/3 - 2*f**2 - 7*f. Determine r so that b(r) = 0. -1, 1, 2 Let m(q) be the first derivative of 4/3*q**2 + 84/5*q**5 + 49/9*q**6
{ "pile_set_name": "DM Mathematics" }
1? True Is 282157284 a multiple of 23? True Does 8162 divide 934951060? False Is 66 a factor of 50804886? True Is 461532078 a multiple of 15? False Does 13 divide 21200645? False Is 1986 a factor of 68590221? False Is 63300791 a multiple of 13? False Does 10 divide 35506000? True Is 16 a factor of 101244624? True Does 2933 divide 800753628? False Does 82 divide 63562874? True Is 29411472 a multiple of 10? False Is 147 a factor of 417516897? True Is 4 a factor of 126768488? True Is 8 a factor of 106013384? True Is 204656012 a multiple of 484? True Is 2312 a factor of 759461944? True Is 3007602 a multiple of 900? False Does 67 divide 396042427? True Is 48128619 a multiple of 10? False Does 63 divide 108171000? True Does 25 divide 1822813489? False Does 6 divide 38627956? False Is 292213221 a multiple of 53? True Does 3263 divide 831859431? True Is 885592935 a multiple of 603? True Is 13 a factor of 93751515? True Is 945899013 a multiple of 4? False Is 1245 a factor of 182002472? False Is 89 a factor of 27248863? True Is 1399 a factor of 42828385? False Is 396 a factor of 3962160972? True Is 190 a factor of 4106477? False Is 108939139 a multiple of 3? False Is 12591000 a multiple of 120? True Is 21304714 a multiple of 21? False Is 93069779 a multiple of 2321? True Does 472 divide 55681368? True Does 146 divide 31652105? False Is 39 a factor of 513789044? False Does 3138 divide 124632826? False Is 61 a factor of 702537714? False Does 2623 divide 1067141320? True Does 17 divide 892635864? True Is 51507456 a multiple of 32? True Is 5499 a factor of 1812767346? True Is 171725740 a multiple of 915? False Is 1873 a factor of 724320941? True Does 228 divide 749047260? True Is 1455481718 a multiple of 13? False Is 7119 a factor of 1882425009? False Is 114666014 a multiple of 127? True Is 584316432 a multiple of 111? True Is 24 a factor of 452573705? False Does 174 divide 14779908? True Is 479 a factor of 20389593? True Does 261 divide 93895811? False Is 127 a factor of 221682925? False Is 80 a factor of 30031543? False Is 1063896001 a multiple of 46? False Does 1317 divide 4395352186? False Does 5 divide 999440272? False Does 2 divide 5682680? True Is 10 a factor of 636999411? False Does 16 divide 226411371? False Does 9 divide 39139659? True Does 1962 divide 5409234? True Is 1287580812 a multiple of 218? True Is 1075844319 a multiple of 4213? True Does 218 divide 100122822? True Does 1752 divide 88759824? True Does 808 divide 460412485? False Is 95403111 a multiple of 43? True Is 596308765 a multiple of 157? True Is 7106 a factor of 4183773842? False Is 28451699 a multiple of 513? False Is 22 a factor of 3059335246? True Is 3163008250 a multiple of 58? True Does 66 divide 148588270? False Is 5614 a factor of 239914290? True Is 106559925 a multiple of 1095? True Does 682 divide 4012888? True Is 76950989 a multiple of 5? False Is 398 a factor of 27050958? False Is 10 a factor of 1598420? True Is 2403 a factor of 62083908? True Is 639 a factor of 71127090? True Is 7 a factor of 66409760? False Is 920631300 a multiple of 282? True Is 57322346 a multiple of 33? False Is 12 a factor of 137811153? False Is 4367 a factor of 2465844018? True Does 23 divide 282488723? False Does 29 divide 932007112? False Is 334 a factor of 25308850? True Is 15 a factor of 1006380262? False Does 1309 divide 21616082? False Is 90378954 a multiple of 3323? True Does 5 divide 144360456? False Is 2757 a factor of 60381057? True Is 37 a factor of 18645613? False Does 28 divide 296107731? False Is 15 a factor of 2068452141? False Is 15 a factor of 840167744? False Is 5 a factor of 146604272? False Is 9389715 a multiple of 1005? True Is 8 a factor of 351616976? True Is 67450129 a multiple of 5? False Is 2001938787 a multiple of 787? False Does 2831 divide 79140065? False Is 555874 a multiple of 121? True Is 375 a factor of 1350909750? True Does 600 divide 14245843? False Is 302338240 a multiple of 16? True Does 2711 divide 206052266? True Is 235 a factor of 2053469480? True Does 138 divide 27172426? False Is 62711184 a multiple of 48? True Is 251552444 a multiple of 26? True Is 81106670 a multiple of 7? False Is 3409858063 a multiple of 88? False Is 12059776 a multiple of 16? True Does 1166 divide 41357639? False Does 471 divide 411793982? False Does 134 divide 1602281282? True Is 1497835757 a multiple of 101? True Does 1436 divide 771054471? False Is 88054845 a multiple of 45? False Does 11 divide 765087180? True Does 1414 divide 49398937? False Is 49777791 a multiple of 1363? False Does 15 divide 29273119? False Does 260 divide 10245040? True Is 1403148721 a multiple of 114? False Does 197 divide 3017375? False Is 52 a factor of 343982392? True Does 3133 divide 371821048? False Does 332 divide 5747501996? True Is 154 a factor of 67351284? True Is 135 a factor of 2298768? False Is 71387779 a multiple of 2? False Does 97 divide 31544822? False Is 35699906 a multiple of 779? False Is 23495304 a multiple of 147? True Does 74 divide 380317194? False Is 1094 a factor of 443786796? False Does 7 divide 24303525? False Is 267 a factor of 153705462? False Does 217 divide 79805656? True Does 81 divide 29316168? True Is 20 a factor of 83496520? True Is 90 a factor of 5836953806? False Is 4168179 a multiple of 49? False Does 5529 divide 1786237443? True Does 31 divide 158211383? True Is 87 a factor of 2137898605? False Is 22 a factor of 35656310? False Is 2552755440 a multiple of 120? True Does 1184 divide 583180110? False Does 222 divide 103871528? False Does 5375 divide 1184822000? True Does 37 divide 474896? False Is 1146496 a multiple of 32? True Does 19 divide 2849392? True Is 92 a factor of 432267380? False Does 154 divide 30176454? True Is 3307199 a multiple of 97? False Is 125 a factor of 317847750? True Is 5143632 a multiple of 39? True Is 137966373 a multiple of 37? False Does 12 divide 64370833? False Is 13147396 a multiple of 503? False Is 13904170 a multiple of 5? True Is 37 a factor of 834683? True Is 1025 a factor of 172472650? True Does 29 divide 44188064? False Is 22 a factor of 48047301? False Is 13192790 a multiple of 13? True Is 286 a factor of 42830502? True Does 256 divide 7138304? True Does 78 divide 330537090? True Does 126 divide 561188958? False Is 167904064 a multiple of 608? True Does 2527 divide 234121496? True Is 26 a factor of 23025355? False Does 328 divide 66522992? True Does 19 divide 708339? True Is 571743260 a multiple of 17? False Is 123947197 a multiple of 11? True Is 99570644 a multiple of 5? False Is 11864832 a multiple of 21? True Is 20376258 a multiple of 21? True Is 1965 a factor of 311727600? True Does 2667 divide 203696531? False Does 85 divide 1153972438? False Is 21190381 a multiple of 1788? False Does 46 divide 8700798? False Is 24603304 a multiple of 1234? False Is 25188919 a multiple of 210? False Is 47 a factor of 8394858? True Does 11 divide 6018055? False Is 35 a factor of 202226430? True Is 58 a factor of 1028420388? True Is 347372337 a multiple of 23? False Does 75 divide 4425825? True Is 2490449790 a multiple of 3748? False Does 5545 divide 1171945236? False Is 1329 a factor of 172316811? True Is 3 a factor of 35813926? False Is 101 a factor of 13502791? True Does 84 divide 521278183? False Does 408 divide 231318507? False Does 47 divide 289991598? True Does 5018 divide 794881308? True Is 368 a factor of 4717010? False Is 37 a factor of 12265204? True Is 650 a factor of 71774586? False Does 64 divide 4558912? True Is 2188157553 a multiple of 219? True Does 44 divide 1010275917? False Is 706 a factor of 35861272? False Is 87 a factor of 109378228? False Is 83 a factor of 728708918? False Is 297308790 a multiple of 9? True Is 38008585 a multiple of 571? False Is 61725683 a multiple of 4? False Does 3016 divide 74027720? True Does 24 divide 485578488? True Is 4467 a factor of 460078665? True Is 40250022 a multiple of 419? False Is 89902953 a multiple of 459? True Does 25 divide 11637466? False Does 1307 divide 17408228? False Is 3 a factor of 86242197? True Is 168 a factor of 23783511? False Is 23 a factor of 1730647? False Is 319215512 a multiple of 28? True Is 25326673 a multiple of 177? False Is 73948972 a multiple of 1706? False Is 3387
{ "pile_set_name": "DM Mathematics" }
less than or equal to 61266? True Which is bigger: 10731784 or -0.1? 10731784 Which is smaller: -129500.5 or 2/5? -129500.5 Which is smaller: 2/7 or -50.98611? -50.98611 Which is smaller: 0 or -4113/7811? -4113/7811 Do -767921 and -767932 have the same value? False Is 119639/1607 equal to 73? False Which is greater: 1/5 or -27589/239? 1/5 Which is bigger: -0.037037 or -10721? -0.037037 Is -19938033 <= -19938053? False Is -1372760 at least 0.08? False Is -17533444 less than -17533444? False Is 55/3827124 greater than 1? False Which is smaller: 2 or -94478915? -94478915 Is -158372729 at least as big as -158372730? True Is 547925 equal to -53/12? False Does 0 = -4/206935509? False Which is bigger: -13860203 or -1? -1 Which is greater: -4861986 or -4861987? -4861986 Is -986741 less than or equal to -986739? True Is -12348 at most as big as -14062? False Which is smaller: -0.62361 or 0.369? -0.62361 Which is smaller: 2921738 or 2921736? 2921736 Is -3199 != 59797? True Is 0.3 at least 3825.19? False Which is smaller: 86 or -51965? -51965 Which is smaller: 0 or -12/7052567? -12/7052567 Is -176358 greater than -176360? True Is 113945 greater than or equal to 4215978/37? False Which is greater: -25 or 48066.058? 48066.058 Is -4531259 bigger than -4531260? True Which is smaller: 60731 or 61175? 60731 Which is smaller: 729451 or 1/29? 1/29 Which is smaller: -817668430/11 or -74333495? -74333495 Which is greater: 6179 or 11043? 11043 Which is smaller: -0.33724 or -8.958? -8.958 Is -256393576 at least -256393576? True Is -115496/745 bigger than -156? True Which is bigger: 3/139227082 or 1? 1 Is -0.8 at least -0.04550049? False Is 3744059 greater than -4? True Is -1676255 > -1676262? True Which is smaller: 988974 or 988978? 988974 Which is bigger: -7 or -45099/235? -7 Is 398877/1340 at least 297? True Which is bigger: 29922886 or 29922887? 29922887 Is 7/3807553 not equal to -1? True Is -105/7736678 less than -1? False Which is smaller: -969565 or 0.13? -969565 Is -63354 smaller than 62.1? True Is -70217 >= -70485? True Is -243144080 <= -243144078? True Is 0 at most -54091/3176? False Which is smaller: 1811351/12 or 150947? 1811351/12 Which is greater: 8927/9625 or 0? 8927/9625 Is 18241 != 456006/25? True Which is smaller: -5572/16267 or 0? -5572/16267 Is 1449/794546 < 1? True Which is smaller: -7304262 or -0.09? -7304262 Which is smaller: 0 or 7/78996061? 0 Are -8/575303 and -3 nonequal? True Which is greater: -536487 or -536669? -536487 Is 66 smaller than 70518/1061? True Is -937/43655 greater than 0? False Does 0 = -17807/117525? False Which is greater: -477127816 or -477127817? -477127816 Do -839991619 and -839991618 have different values? True Which is smaller: -1 or 158203715.6? -1 Which is greater: 142 or 271720/1927? 142 Is -2 >= -324.6686? True Is -8/100712101 at most as big as -1? False Does -379.8348 = 1? False Does -1044389 = -1044531? False Is -66186 less than or equal to -66074? True Which is greater: 8/27793601 or 1? 1 Is -4362812 > -4362834? True Are -270702/115 and -2353 nonequal? True Is -72/427 < -3/665? True Which is bigger: -3/160387877 or 0? 0 Which is smaller: 2395 or 4358? 2395 Which is smaller: 36486 or 32282? 32282 Which is smaller: -1304/291813 or -1? -1 Is 1 at least as big as 260/6173? True Is 0 at most 142/7215893? True Which is greater: 9024187 or 9024182? 9024187 Which is bigger: -118/321483 or 0? 0 Which is bigger: -1 or -2/786069021? -2/786069021 Which is greater: -2/84337 or 2319? 2319 Is 47756/15543 > 2? True Which is smaller: -568253 or -568251? -568253 Which is smaller: 1 or 921/13826? 921/13826 Which is bigger: 68668 or 66829? 68668 Is 0 at most -10/10151437? False Which is smaller: 3/12986044 or 1? 3/12986044 Is -97528 smaller than -487634/5? True Which is smaller: 7739/14380 or 0? 0 Which is smaller: 0 or -1/425834655? -1/425834655 Which is smaller: 251301 or 251028? 251028 Is 99118735 at most as big as 99118739? True Which is smaller: 126608 or 126609? 126608 Is -10696 bigger than -8281? False Which is bigger: -2049491 or -2049488? -2049488 Which is greater: 47.56995 or -2/7? 47.56995 Is 1 at most -491476/15? False Which is smaller: 3668 or -7799? -7799 Are -0.0387659 and 96 unequal? True Are 420/133607 and -1 equal? False Which is smaller: 7415 or -17300? -17300 Which is smaller: 21582/529 or -2? -2 Which is smaller: -128512 or -2297? -128512 Is 15/827866 less than or equal to 0? False Is -1 greater than 940/1124111? False Which is smaller: 1 or -4/1244899813? -4/1244899813 Which is smaller: -4/5357579 or 0? -4/5357579 Are 8015239 and -2 nonequal? True Is -64016632 greater than or equal to -64016632? True Are 172455819 and 172455820 unequal? True Which is smaller: -1 or -1/34680414? -1 Is -568/88825 < 0? True Which is bigger: -1 or -3/6877297? -3/6877297 Which is bigger: 8557863 or 8557864? 8557864 Is 40705559 <= 40705552? False Is 8100203 equal to 8100204? False Is 49.03784 less than -4? False Which is greater: 14900 or 14800? 14900 Is 1306922 less than or equal to 1.3? False Is 13721432 > 13721435? False Which is smaller: 1 or 5428/24977? 5428/24977 Which is bigger: 0 or 2/44433493? 2/44433493 Which is bigger: -2 or 1286756495? 1286756495 Is 1 <= -2/2110274907? False Is 34246 >= 15651? True Does -1419.421 = 16? False Which is bigger: -142524 or -142603? -142524 Is 368 > -13802? True Which is bigger: 1 or 2930/77483? 1 Which is greater: 12358 or 3546958/287? 3546958/287 Which is greater: 0.3 or -2.86036? 0.3 Which is greater: 0.133 or 193/103? 193/103 Is 294434 bigger than 9716330/33? False Which is smaller: 9/1382 or -66668? -66668 Is -18846129 greater than or equal to -18846129? True Is -0.5 at most as big as -44290390? False Which is smaller: -61224299 or -61224297? -61224299 Which is smaller: 0.236 or 5296? 0.236 Is 8039637 smaller than 8039666? True Which is smaller: 722128/111 or 6505? 6505 Which is smaller: 274/4153 or 2? 274/4153 Do -44 and -110480/2549 have the same value? False Is -215893795 not equal to -215893795? False Which is smaller: -1 or 1804/62053? -1 Is 7774947 greater than 7774960? False Are 954148 and 1 unequal? True Which is smaller: -67331 or -1795? -67331 Is 1 greater than -13/642338? True Is 53 <= 120607/2263? True Which is bigger: 4/131 or -116974? 4/131 Is 1 less than or equal to 29859/35111? False Which is smaller: 41590 or 34535? 34535 Is 10 equal to 20124450? False Is -750916 equal to -750918? False Which is greater: -8237760 or -24713284/3? -8237760 Which is smaller: -42277 or 414? -42277 Which is smaller: 0 or -2/368648687? -2/368648687 Which is greater: -170/40581 or -1? -170/40581 Is -7569 at least -204373/27? True Which is greater: -39208844 or -39208845? -39208844 Which is smaller: 1143 or 11922? 1143 Which is smaller: 1288 or -378? -378 Is -2/10449 smaller than -5916? False Is 44/55735 greater than 2/149? False Are 63081517 and 63081516 equal? False Which is greater: 1152/76579 or 0? 1152/76579 Which is smaller: -12030 or -5886? -12030 Which is smaller: -122.77 or 679? -122.77 Is 2.14 not equal to 0.58515? True Which is smaller: 0 or 18/162301861? 0 Is -81017 > -81016? False Which is bigger: 13695758 or 13695754? 13695758 Which is greater: 175978 or 2991639/17? 2991639/17 Is -654766503 smaller than -654766503? False Is 1 at most 5131036? True Is 59/450995 <= 0? False Which is smaller: 1/59367326 or -1? -1 Is -0.081549 bigger than 0.33? False Which is smaller: -0.0185 or -561579? -561579 Is -604871 at most -605180? False Is 34133565 != 34133568? True Is -6998 less than 512? True Which is greater: 13558 or 12792? 13558 Which is greater: 1 or -2/415959045? 1 Which is smaller: -348878943/4 or -87219736? -87219736 Is -2145897 >= -6437692/3? True Which is greater: 0 or -135426.685? 0 Are 42940 and -1985 non-equal? True Which is greater: -1 or 1395/37753? 1395/37753 Which is greater: 0 or 64/891? 64/891 Is -1681/7 at least 0.953? False Which is bigger: -137607672 or -137607669? -137607669 Which is smaller: -12464805/11 or -1133164? -12464805/11 Which is greater: 9414 or 7153? 9414 Which is greater: 1 or -4848/14273? 1 Is 0 bigger than 2/1138205627? False Which is bigger: -8253833 or 0? 0 Which is smaller: 541931 or 541845? 541845 Is -6407/5 bigger than -0.6289? False Is 5100 > 43
{ "pile_set_name": "DM Mathematics" }
-0.1? -442 What is the third biggest value in -1/3, 0.2, 0.26, -2/31? -2/31 What is the third biggest value in -0.5, 5/4, 104, -37? -0.5 Which is the fifth smallest value? (a) 1 (b) -7 (c) 2/7 (d) -1 (e) 3 (f) -7282 a What is the biggest value in -2/9, 382, 13/2? 382 What is the fourth biggest value in -4, -2/137, -1, -0.0972, -2/21? -1 What is the smallest value in 1/3, -2, 1/11, -0.40242? -2 What is the second biggest value in 1, -42, -4, 0, 3, 4? 3 What is the second biggest value in -4, 3, 2958/95? 3 What is the third smallest value in -4/71, 4/5, -0.5, -3, 1/4? -4/71 What is the sixth smallest value in 0.4, -1, -92/9, 2/7, -0.2, 4? 4 What is the third smallest value in -0.08, 0, 17912? 17912 Which is the smallest value? (a) 2385 (b) -2.9 (c) -0.08 b Which is the second smallest value? (a) -3/17 (b) -2 (c) -860 b Which is the biggest value? (a) 0.1 (b) 22947 (c) 3/5 b Which is the third smallest value? (a) -0.4 (b) -2/9 (c) 427 (d) 7 d What is the fourth smallest value in -0.2, -0.1, -3/5, -201? -0.1 Which is the second biggest value? (a) 2/3 (b) -5.7 (c) 1 (d) -5 (e) -0.65 (f) 0.4 a What is the second smallest value in 1, -941, -59? -59 Which is the fifth smallest value? (a) 3 (b) -1119 (c) 0.4 (d) -3 (e) 2 (f) -1 e Which is the fourth smallest value? (a) 16 (b) 24 (c) -2/3 (d) -32 b Which is the fifth biggest value? (a) 1/17 (b) 202 (c) 1 (d) -1 (e) 1/8 d What is the third biggest value in 14, 47, -0.05? -0.05 Which is the second biggest value? (a) 31 (b) -1/2 (c) -81 b Which is the third smallest value? (a) -15/2 (b) -2/5 (c) -3/2 (d) 6 b What is the fourth biggest value in 3/8, -16, 50, 3.7? -16 What is the fifth smallest value in 2/59, -1, 0.7, 0.3, 0, 14? 0.7 What is the third smallest value in 4, -2/5211, 3? 4 Which is the second biggest value? (a) -2 (b) 0.5 (c) -5 (d) 2 (e) 1323 d What is the fourth biggest value in 2/9, -1/3, 20408, 1/7, 3, 0? 1/7 Which is the biggest value? (a) 0.04 (b) 2031 (c) -1/3 (d) -0.3 b Which is the third smallest value? (a) 1/17 (b) 5 (c) 70 (d) -2/7 b What is the second smallest value in 21, -2/47, -67? -2/47 What is the third biggest value in -0.3, 1, 519, -4, -2/17, 0.5? 0.5 Which is the biggest value? (a) 3/5 (b) 2 (c) 12 (d) -2351 c What is the smallest value in 0.76, -160, 5? -160 What is the fourth smallest value in -0.3, -6, -0.04, -2/3, 0.34, 2/7? -0.04 Which is the third biggest value? (a) -3/5 (b) 0.202 (c) 0 (d) 5 (e) -1 c Which is the third smallest value? (a) 1/355 (b) 11 (c) 0.2 (d) -1.9 c Which is the second smallest value? (a) 0.4169 (b) 0.3 (c) 0 b What is the third smallest value in -1937/6, -2/11, 3? 3 Which is the biggest value? (a) -5062 (b) -1/3 (c) -1/2 b Which is the second biggest value? (a) 2/56693 (b) 1 (c) 3 (d) 5 (e) -2/3 c What is the fourth smallest value in 1/4, 1, 87, 0.3, 28, -7? 1 What is the fourth smallest value in -0.18, 1, -5, 1/6, 2/21? 1/6 What is the second biggest value in -1/2949, -0.2, -0.39? -0.2 Which is the second smallest value? (a) -1 (b) -62 (c) 0.5 (d) -6/7 (e) -12 e Which is the sixth smallest value? (a) 1.2 (b) 6 (c) 2 (d) 148 (e) -0.5 (f) 0.1 d Which is the fourth biggest value? (a) -3 (b) -1 (c) -4 (d) -2 (e) -1/1351 a Which is the third smallest value? (a) 4 (b) 2/7 (c) 83/4 (d) -0.036 (e) -5 b Which is the second smallest value? (a) -590 (b) 14/9 (c) 5 b What is the third biggest value in -2/7, -6/151, 0.2, 3/25? -6/151 Which is the fourth smallest value? (a) 0.0679 (b) 1.1 (c) -21 (d) -4 (e) 3/5 e What is the second biggest value in -1, -3/2, 1.204? -1 What is the biggest value in -33/16, -4, -0.06, 0, 4? 4 Which is the second smallest value? (a) -25 (b) 1/10 (c) -3/32 c What is the second biggest value in 15, -0.2, 396? 15 What is the fourth biggest value in -1/3, -4, -15.2, -0.4? -15.2 Which is the second biggest value? (a) -131 (b) -0.4 (c) 171 b Which is the second biggest value? (a) -11/5 (b) -5 (c) 2/11 (d) -123 a Which is the second smallest value? (a) 2/155 (b) -2/33 (c) 2/929 c Which is the third biggest value? (a) 0.4 (b) -5 (c) -33 (d) -50 c Which is the third biggest value? (a) -7 (b) 3/5 (c) -4 (d) -8 a What is the third smallest value in 5, 3.7, 3617? 3617 Which is the smallest value? (a) -3 (b) -5 (c) 0.0078 (d) 1 b Which is the third biggest value? (a) 1 (b) -36979 (c) 2 (d) -0.1 d What is the second smallest value in -5, -195/2, 7.5? -5 What is the third biggest value in -1/11, -1/6, -2/69, 0, 1? -2/69 What is the biggest value in 63/5, 0.1, -3/109? 63/5 What is the fourth smallest value in 1/2, -0.05, 184, -3/4, 5? 5 Which is the sixth smallest value? (a) 2/5 (b) -2/5 (c) -1/2 (d) 3 (e) -53 (f) -0.19 d What is the fourth smallest value in -0.1, 1.7, -5, 8671? 8671 Which is the smallest value? (a) 2/7 (b) -3 (c) 3 (d) 0.15859 b Which is the smallest value? (a) -0.5 (b) 16 (c) 1/2 (d) -2 d Which is the fourth biggest value? (a) -3.5 (b) 22 (c) 0 (d) -2/3 a What is the fifth smallest value in 26, -9, -19, -0.02, -0.2, -0.4? -0.02 Which is the third smallest value? (a) -5 (b) 0.35 (c) -1/4 (d) 69 (e) 1 b Which is the smallest value? (a) -72/635 (b) 1/4 (c) -0.43 (d) -1/4 c What is the second biggest value in 0.2, 878, 0.99? 0.99 Which is the third smallest value? (a) 0.4 (b) -40 (c) -0.1 (d) -0.11 (e) -2/3 d What is the third biggest value in -1/2, 20.8646, -2/21, 3? -2/21 Which is the fourth biggest value? (a) 2/7 (b) -2/17 (c) -8 (d) -0.02 (e) 1 (f) -2 b Which is the biggest value? (a) 9 (b) -0.3 (c) 101 c What is the biggest value in -4, 1, 0.4, -50, -15/4? 1 Which is the smallest value? (a) -2 (b) -5 (c) 2 (d) -0.13 (e) -1.38 b Which is the smallest value? (a) -0.2 (b) 11987/21 (c) 4/3 a What is the sixth smallest value in 5, 3, 0.5, -0.4, -5/6, -4470? 5 What is the second biggest value in -1.6, 9, -590, 1? 1 What is the third biggest value in -4/3, 1619, -1? -4/3 What is the fifth biggest value in 0.4, -5, -0.044, 4, -24, -4/7? -5 Which is the third smallest value? (a) -3506 (b) 2 (c) -1/30 (d) -4/7 c Which is the biggest value? (a) -3/5 (b) 0.21 (c) -3 (d) -0.1 (e) -98 (f) -5 b Which is the smallest value? (a) 0 (b) 3/4 (c) 2430 a What is the second biggest value in 5, -0.22, 3/4, 75, 19? 19 What is the second biggest value in 8707, 16, 4? 16 What is the second biggest value in -163, 11, 1, -0.02? 1 What is the sixth smallest value in -0.23, 5, -2/15, -14/9, -2, -1? 5 Which is the second smallest value? (a) 1153 (b) -109 (c) -3 c Which is the fourth smallest value? (a) -1/4 (b) 23.2 (c) -7/38 (d) -3/7 b Which is the second smallest value? (a) 0.0776 (b) 0.2 (c) 0.5 (d) 2/15 d Which is the second biggest value? (a) 5 (b) 130 (c) -2 (d) -28 a Which is the third smallest value? (a) 0.03 (b) -6 (c) 10/3 (d) -1/5 (e) -0.5 (f) -12 e Which is the second smallest value? (a) -0.007 (b) 4/3 (c) 2/7 (d) -2/7 (e) 17 a Which is the third biggest value? (a) 52 (b) -3 (c) -0.15 (d) 0.4 c What is the third smallest value in 1/5, -1.2, -3, 97? 1/5 Which is the second biggest value? (a) -5 (b) -2/133 (c) -44 (d) 7 b Which is the fifth biggest value? (a) 250 (b) 5 (c) -5 (d) -1/5 (e) -11 (f) 0.02 c What is the second smallest value in 59, 47, -2/23? 47 What is the biggest value in -4, -1, 34/3, 117? 117 What is the smallest value in 179, 0.1, 2/13, 3? 0.1 What is the second biggest value in 1/2, 3/2, -3.9, -4.34? 1/2 What is the biggest value in 3, -0.2, -5/3, -2/7? 3 What is the smallest value in -1, -1/4, -3, 0.2, -20.9? -20.9 What is the fourth smallest value in 2.8, 0.3, -21, 1.2, 14? 2.8 What is the fourth smallest value in -3, 3/13, 23, -52? 23 Which is the fifth smallest value? (a) 0.3 (b) 1/3 (c) -2/5 (d) -4.3 (e) -0.5 (f) -1/5 a What is the smallest value in 16, 3, 2, -7/2? -7/2 What is the second smallest value in -0.548, -4, -2/1123? -0.548 What is the sixth biggest value in 3/4, -8, 1, -0.1, -1, -5? -8 Which is the smallest value? (a) -1.7 (b) -8 (c) 12/11 (d) -4 (e) 34 b Which is the sixth smallest value? (a) 3 (b) 0.4 (c) 32 (d) 61 (e) 0.3 (f) -4 d What is the fourth
{ "pile_set_name": "DM Mathematics" }
l**2 + 96*l + 269. Let v be z(-3). Let m(h) = -h**2 - 51*h - 236. Give m(v). -6 Let d(h) be the third derivative of 0 - 54*h**2 + 1/6*h**4 + 7/3*h**3 + 0*h. Determine d(-6). -10 Let c(g) = 434 - 435 - 7*g**2 - 5*g**2. Let f be c(-1). Let a(n) = -n**3 - 12*n**2 + 14*n + 13. What is a(f)? 0 Let k(j) = j - 5. Let f(v) = -2*v + 31. Let s be f(13). Suppose 0 = -s*h - 231 - 59. Let a = 63 + h. Calculate k(a). 0 Let l(f) = f**3 - f**2 + f - 3. Let v be 12 + 6/(-3) + 1. Let m(g) = 2*g**2 - 34*g - 30. Let r be m(18). Suppose -v*a + r = 6. What is l(a)? -3 Let k(h) = h**3 + h**2 + 1. Let c = 17 - 16. Let u(r) = -5*r**3 + 43*r**2 + 0 - 41*r**2 - 4*r**3 + 1. Let z(g) = c*k(g) - u(g). What is z(1)? 9 Suppose -2292 + 1116 = -59*l - 25*l. Let h(z) = -2*z**2 + 31*z + 24. Calculate h(l). 66 Let y(x) = -x - 4*x + 1207664 - 1207770. Determine y(-24). 14 Let q(r) = -16*r**2 - 30*r + 137. Let t(c) = -7*c**2 - 16*c + 68. Let p(s) = -4*q(s) + 9*t(s). Give p(3). 1 Let a(y) = 7*y - 10. Suppose -181*t - 284 = -1189. Give a(t). 25 Let b(a) = -a**3 - 7*a**2 - 7*a - 10. Let o(y) = -y**3 - 3*y**2 - 5*y - 6. Let s be o(-2). Suppose 14*l + 110 - 26 = s. Calculate b(l). -4 Let x be -1 + -5 + 19 + -14. Let a be (2/3)/((7/x)/(-21)). Let i(f) = -101*f**2 - 6*f + a - 2 + 100*f**2. Determine i(-7). -7 Let g = -24 + 15. Let t = g - -12. Let u(h) = 2*h**3 + 5*h**2 + 7*h - 2. Let o(p) = -3*p**3 - 9*p**2 - 13*p + 4. Let c(y) = -3*o(y) - 5*u(y). Give c(t). 1 Let h(v) = -2473*v + 4 + 1257*v - 16*v**2 + 1220*v. Give h(-2). -68 Let y(d) = d**2 - 4*d - 149 + 77 + 77. Let x be y(3). Let t(k) = -6*k + 2. What is t(x)? -10 Let m = 206 - 204. Let k(s) = s**3 + 13*s**2 - 9*s - 4. Let q(r) = r**3 + 2*r - 1. Let t(z) = m*q(z) - k(z). Calculate t(12). 14 Let n(y) = -y**2 + 5*y + 11. Suppose 11*b = 2*x - 2, x + 5*b - 24 = -2. What is n(x)? -73 Suppose -16*h = -10*h - 24. Let k be 6/15 + h*7/5. Let b(y) = y**2 - 8*y - 3. Give b(k). -15 Suppose 0 = 6*h - 354 + 126. Suppose -10*k = -12 - h. Let r(w) = 4 - 3 - 2*w + 5. Give r(k). -4 Let v(y) = 9 - 3*y + 20*y + 13*y**2 + 1 + 2*y**2. Calculate v(-1). 8 Suppose -5*s = -2*c - 7, -5*s + 2*s = -3*c + 3. Let m(f) = -149*f - f**2 + 74*f - 3 + 76*f. What is m(s)? -9 Let t(s) = -953*s**2 - 25*s - 19. Let f(q) = 1525*q**2 + 38*q + 29. Let g(a) = -5*f(a) - 8*t(a). Let k be -2*(2 + 0 - 6). Give g(k). 23 Let g(f) = -27*f + 91. Let h be g(-4). Let w = h + -184. Let c(j) = j - 16. Determine c(w). -1 Suppose 11*x = -4*z + 6*x + 8, x - 2 = -z. Suppose 5*y + 4*l - 5 = 2*l, 4*y = 5*l + 4. Suppose -y = -z*o - 3. Let d(t) = -10*t + 1. Determine d(o). 11 Let o(m) be the first derivative of -m**4/2 + 19*m**3/3 - 3*m**2 - 21*m + 2101. Give o(9). 6 Let u be (-96)/(-56) - 2/(-7). Suppose 3 + u = -s. Let t(f) = -13*f + 9. Let n(d) = -20*d + 14. Let a(h) = 5*n(h) - 8*t(h). Calculate a(s). -22 Let l(q) = q**3 + 2*q**2 - 5. Suppose d = -3*d + w - 19, -3*w + 17 = -2*d. Let f be 0/(d + -2) + 0. What is l(f)? -5 Let i(y) = 26*y - 49. Let u be i(2). Let q(j) = -2*j**3 + 14*j**2 - 2*j + 10. Let w(t) = -3*t**3 + 16*t**2 - 3*t + 10. Let o(k) = u*w(k) - 4*q(k). Give o(-8). -2 Suppose -5 = -2*m - g, -3*m + g - 3*g = -7. Let z(w) = 69*w. Let k(i) = -103*i + 1. Let t(d) = 2*k(d) + 3*z(d). Give t(m). 5 Let c(h) = 24 + 514*h - 38 + 14 - 512*h. Give c(-7). -14 Let h(t) = -5*t - 43. Let k be h(-18). Suppose -7 = -3*m + k. Let l(i) = -1 + m*i + 8 - 17*i - 3. Give l(-9). -5 Suppose 3*z = 2*f - 5, 5*f + 66 = -3*z + 5. Let b(d) = 8*d + 60. Give b(f). -4 Let s = 19 - 2. Let m = -15 + s. Let n(b) = b**2 + m + 3 - 4 + 2*b - b. What is n(-3)? 7 Suppose -1270*n + 6 = 2*p - 1268*n, p = -4*n. Let w(h) be the third derivative of 0*h + 11*h**2 + 2/3*h**3 + 1/24*h**p + 0. Give w(-5). -1 Let l(u) = -u. Let f(d) = 77 - 26*d - 209*d**3 - 19*d**2 + 207*d**3 - 40*d**2. Let s be f(-29). Give l(s). 10 Let q(d) be the first derivative of -15*d**4/4 - 2*d**3/3 - 5*d**2/2 - 4*d + 7430. Determine q(-2). 118 Let z be (0 - -1)*(-1 - -3). Let k(b) = -b**2 + z*b**2 - 9 - 3*b - 4*b + 0*b. Suppose 3*s - 21 = 3*j, 3*s - 2*j = 2*j + 20. What is k(s)? -1 Let r(b) = 34*b + 12. Let a(p) = 60*p + 23. Let f(s) = 3*a(s) - 5*r(s). Give f(4). 49 Let n(r) = -2*r - 45. Let a(i) = i**2 - 87*i - 10565. Let v be a(-68). Calculate n(v). 5 Let k(c) = 23*c**3 - 13*c**2 + 7*c + 17. Let y(l) = -25*l**3 + 14*l**2 - 8*l - 18. Let s(m) = 12*k(m) + 11*y(m). Determine s(3). 3 Let h be 1/2*(-6)/9*66/(-2). Let a(d) = d - 29. What is a(h)? -18 Let m(s) = -65*s + 96 - 42 + 8*s**2 - 27 + s**3 - 27. Determine m(5). 0 Let l(t) = -t**3 - t**2 + t - 18. Let p = -2125 + 2125. Give l(p). -18 Let y(a) = 7*a**3 + 71*a**2 - 180*a + 131. Let z(x) = -5*x**3 - 48*x**2 + 119*x - 88. Let k(s) = 7*y(s) + 10*z(s). Calculate k(11). -7 Let q(r) = 4*r + 32. Let t be (-663)/78 - 2/4. Calculate q(t). -4 Let g(d) be the third derivative of -d**8/20160 - d**7/336 - 13*d**6/720 + d**5/12 - d**4/24 - 57*d**2. Let z(q) be the third derivative of g(q). Give z(-10). 37 Let x(d) = -d**3 - 16*d**2. Suppose 0 = 26*j + 90*j + 1856. Calculate x(j). 0 Suppose 2*i - 15 = 2*l - 23, 4*i + 6 = -l. Let p(g) = -6*g + 9. Calculate p(l). -3 Let m(t) = -97*t**3 + 3*t**3 + 86*t**3 - 19*t**2 - 13 + 81*t + 9*t**3. What is m(12)? -49 Let t(s) be the first derivative of s**4/2 + s**3 - s**2/2 - 2*s + 2. Let k(j) = j**3 + 28*j**2 - 36*j - 93. Let a be k(-29). Let g = a - 112. Give t(g). -4 Let n(m) be the first derivative of m**4/12 + 2*m**3/3 - 5*m**2/2 + 127*m + 97. Let r(p) be the first derivative of n(p). Determine r(-6). 7 Let j(n) be the first derivative of 2*n**2 - 3*n + 2341. Give j(6). 21 Let t = -627 + 624. Let q(s) = 3*s**2 - 6*s + 4. Give q(t). 49 Suppose 526 = -6*o + 484. Let k(j) = 11*j + 9. What is k(o)? -68 Let s(v) = 61*v + 48 - 109*v + 129*v + 15 - 100*v. Determine s(5). -32 Let o(d) = -16*d**2 - 33*d + 33*d + d**2. Suppose -28*w + 16*w + 12 = 0. Calculate o(w). -15 Let k(b) = -b - 14. Let y(z) = -16*z - 8. Let i be y(4). Let d be ((-1)/2)/(212/i - -3). Determine k(d). -5 Let j(m) = -43*m + 3 - 4 - 2 + 42*m. Suppose 120 = 189*f - 169*f. Determine j(f). -9 Let j(s) = -19 - 26*s**2 + 125*s**2 - 26*s**2 - 25*s**2 + 16*s - 49*s**2. Determine j(19). -76 Let g(q) be the first derivative of -1/120*q**6 + 1/3*q**3 - 13/2*q**2 + 7/60*q**5 + 0*q - 5/24*q**4 - 21. Let n(d) be the second derivative of g(d). Give n(6). 8 Suppose -4*l + 5*u = 0, -5*l + u - 2*u = -29. Suppose 0 = 3*q + l*w + 31, -2*q + w + 21 = -4*w. Let k(n) = n + 1. Determine k(q). -1 Suppose 19*y - 69 = -12. Let h(a) = -10 - a + 24 + a**y - 15 + a**2. Give h(-2). -3 Let h(v) = -6*v + 16. Let x be 15*2/(5/((-25)/30)). Let w(i) = 7*i - 16. Let m(d) = x*h(d) - 4*w(d). Calculate m(9). 2 Let i(t) be the second derivative of -11*t**3/6 + 58*t**2 + 262*t. Let n be i(10). Let a(c) = 2*c**2 - 12*c + 3. What is a(n)? 3 Let m(s) = 45*s**2 + 10*s + 20. Let a(n) = -56*n**2 - 10*n - 19. Let v(d) = -4*a(d) - 5*m(d). Calculate v(-6). 0 Let x(d) = d + 4166 - 8316 + 4103 + 0*d. Determine x(31). -16 Let q(d) = d**2 + 20*d - 22. Let v(h) = 127*h + 106. Let i be v(-1). What is q(i)? -1 Suppose 4*o - 35 = -23. Let l(i) = 7 + o + 225*i**2 - 3 - 226*i**2. Calculate l(0). 7 Let x(a) = a**2 - 11*a. Let v(n) = 2*n + 141. Let i(t) = t + 47. Let l(m) = 17*i(m) - 6*v(m). Let g be l(10). Suppose 44 = -g*k + 7*k. What is x(k)? 0 Suppose r = -0 + 2. Let u(v) be the first derivative of 1/2*v**2 - 226 + 0*v. Determine u(r). 2 Suppose -h - 4 = 2*h - 4*f, -2*f = -5*h + 12. Let w be -3 - (((-1)/1 - 15) + h). Let l(v) = v**3 - 10*v**2 + 8*v - 9. Give l(w). -18 Let z = 46 + -43. Suppose 15 = 6*r + z. Let y(j) = 8*j**r + 4*j**2 - 10*j**2. Give y(-1). 2 Let n(m) = m**2 + 13*m - 24. Suppose 4*g - 5*v = -17, g = -5*v - 191 + 218. What is n(g)? 6 Let s(m) = -m + 1. Let t(z) = -4*z. Let u = -163 - -166. Let k(j) = u*s(j) + t(j). What is k(6)? -39 Let q(f) be the second derivative of 5*f**4/6 - 149*f**3/6 - 7*f**2 + 275*f + 3. What is q(15)? 1 Let l(k) = -4*k + 37. Let b be l(9). Let s(o) = 34*o + o**2 + b - 2 - 29*o + o**2. Calculate s(-4). 11 Let i(j) = -8*j - 22*j + 0*j**2 - j**2 + 6 + 10*j. Let h = -1037 + 1017. What is i(h)? 6 Suppose 304*p - 182 + 132 = -1874. Let i(w) = -w**3 - 5*w**2 + 7*w + 10. What is i(p)? 4 Let x(g) be the third derivative of -9*g + 1/60*g**5 -
{ "pile_set_name": "DM Mathematics" }
1161, 1525, 1877, 2217? -6*h**2 + 406*h - 3 What is the x'th term of -182, -266, -334, -380, -398? x**3 + 2*x**2 - 97*x - 88 What is the p'th term of -1015, -1179, -1343, -1507? -164*p - 851 What is the m'th term of 50974, 101945, 152916, 203887, 254858? 50971*m + 3 What is the j'th term of -10962, -10999, -11026, -11037, -11026, -10987, -10914, -10801? j**3 - j**2 - 41*j - 10921 What is the y'th term of 734, 1323, 1912? 589*y + 145 What is the c'th term of 5039052, 5039050, 5039048, 5039046? -2*c + 5039054 What is the d'th term of 2183, 8741, 19669, 34967, 54635? 2185*d**2 + 3*d - 5 What is the d'th term of 167, 1148, 3741, 8750, 16979? 134*d**3 + 2*d**2 + 37*d - 6 What is the a'th term of -29466, -58930, -88394, -117858, -147322, -176786? -29464*a - 2 What is the u'th term of -80338, -160675, -241014, -321355, -401698, -482043? -u**2 - 80334*u - 3 What is the o'th term of -1038, -1033, -1026, -1017, -1006? o**2 + 2*o - 1041 What is the z'th term of 134, 500, 1328, 2852, 5306, 8924, 13940, 20588? 39*z**3 - 3*z**2 + 102*z - 4 What is the p'th term of 9361, 18725, 28065, 37369, 46625, 55821, 64945? -2*p**3 + 9378*p - 15 What is the f'th term of 3873, 31080, 104921, 248712, 485769, 839408, 1332945, 1989696? 3886*f**3 + f**2 + 2*f - 16 What is the u'th term of 3133, 12538, 28213, 50158? 3135*u**2 - 2 What is the h'th term of -57, -241, -683, -1491, -2773, -4637, -7191, -10543? -18*h**3 - 21*h**2 + 5*h - 23 What is the w'th term of -2603, -20923, -70655, -167507, -327187, -565403? -2618*w**3 + 2*w**2 + 13 What is the t'th term of -1209, -1247, -1345, -1527, -1817, -2239? -4*t**3 - 6*t**2 + 8*t - 1207 What is the v'th term of -479, -617, -921, -1475, -2363, -3669? -14*v**3 + v**2 - 43*v - 423 What is the r'th term of 51, 77, 121, 183? 9*r**2 - r + 43 What is the i'th term of -39951, -39949, -39947, -39945? 2*i - 39953 What is the h'th term of 325, 990, 1653, 2314? -h**2 + 668*h - 342 What is the f'th term of -94, -94, -102, -124, -166? -f**3 + 2*f**2 + f - 96 What is the g'th term of -15978, -15995, -16012, -16029, -16046, -16063? -17*g - 15961 What is the v'th term of -602613, -602608, -602599, -602586, -602569, -602548, -602523? 2*v**2 - v - 602614 What is the l'th term of 8336, 8335, 8334? -l + 8337 What is the w'th term of 955, 3828, 8619, 15328? 959*w**2 - 4*w What is the h'th term of 3810, 7553, 11286, 15003, 18698, 22365? -h**3 + h**2 + 3747*h + 63 What is the t'th term of -13480, -26958, -40436, -53914, -67392, -80870? -13478*t - 2 What is the l'th term of -4451, -3982, -3207, -2132, -763, 894, 2833? -l**3 + 159*l**2 - l - 4608 What is the g'th term of -122007, -122022, -122027, -122016, -121983, -121922, -121827, -121692? g**3 - g**2 - 19*g - 121988 What is the b'th term of -709, -650, -609, -592, -605? -b**3 - 3*b**2 + 75*b - 780 What is the o'th term of 4251, 4216, 4177, 4134, 4087, 4036? -2*o**2 - 29*o + 4282 What is the x'th term of 45122, 45134, 45170, 45242, 45362, 45542, 45794? 2*x**3 - 2*x + 45122 What is the i'th term of 2866, 2628, 2232, 1678, 966? -79*i**2 - i + 2946 What is the v'th term of -1239, -2215, -3191, -4167? -976*v - 263 What is the f'th term of -34, -278, -970, -2344, -4634, -8074? -39*f**3 + 10*f**2 - f - 4 What is the d'th term of 10873, 10874, 10875? d + 10872 What is the l'th term of -101, -456, -1107, -2102, -3489? -8*l**3 - 100*l**2 + l + 6 What is the x'th term of -1019, -1041, -1053, -1049, -1023, -969, -881? x**3 - x**2 - 26*x - 993 What is the j'th term of 7364, 7359, 7366, 7391, 7440, 7519? j**3 - 12*j + 7375 What is the a'th term of -4796, -4848, -4914, -5006, -5136, -5316, -5558, -5874? -2*a**3 + 5*a**2 - 53*a - 4746 What is the n'th term of 375, 1195, 2015? 820*n - 445 What is the j'th term of -172, -574, -1202, -2026, -3016, -4142? 5*j**3 - 143*j**2 - 8*j - 26 What is the d'th term of 738, 758, 786, 822, 866, 918, 978? 4*d**2 + 8*d + 726 What is the v'th term of 442, 483, 524? 41*v + 401 What is the w'th term of 5063, 5131, 5197, 5261, 5323, 5383, 5441? -w**2 + 71*w + 4993 What is the c'th term of -1050, -8375, -28254, -66963, -130778? -1046*c**3 - c**2 - 3 What is the x'th term of -17236, -138614, -468070, -1109644, -2167376, -3745306, -5947474, -8877920? -17340*x**3 + x**2 - x + 104 What is the s'th term of -56280, -112557, -168834, -225111? -56277*s - 3 What is the a'th term of -126, -199, -280, -369, -466? -4*a**2 - 61*a - 61 What is the g'th term of 792, 832, 872, 912, 952, 992? 40*g + 752 What is the k'th term of -22, 22, 84, 158, 238? -k**3 + 15*k**2 + 6*k - 42 What is the j'th term of -5285, -5297, -5335, -5411, -5537, -5725, -5987? -2*j**3 - j**2 + 5*j - 5287 What is the b'th term of 10222, 10315, 10408, 10501, 10594? 93*b + 10129 What is the f'th term of -411, -401, -387, -369? 2*f**2 + 4*f - 417 What is the v'th term of 46, 86, 106, 94, 38, -74, -254, -514? -2*v**3 + 2*v**2 + 48*v - 2 What is the u'th term of 387, 788, 1177, 1548, 1895, 2212, 2493? -u**3 + 408*u - 20 What is the s'th term of 20873, 41743, 62613, 83483, 104353? 20870*s + 3 What is the k'th term of -195, -233, -333, -525, -839, -1305? -5*k**3 - k**2 - 189 What is the z'th term of 519, 1046, 1573? 527*z - 8 What is the v'th term of -651, -638, -627, -618, -611, -606? -v**2 + 16*v - 666 What is the h'th term of 39, 130, 297, 552, 907, 1374, 1965, 2692? 2*h**3 + 26*h**2 - h + 12 What is the j'th term of 13199, 13187, 13175, 13163, 13151? -12*j + 13211 What is the w'th term of -69069, -69073, -69077, -69081, -69085? -4*w - 69065 What is the u'th term of -8707, -34821, -78345, -139279, -217623? -8705*u**2 + u - 3 What is the r'th term of -19625, -39250, -58875, -78500, -98125? -19625*r What is the c'th term of 275, 1127, 2551, 4547, 7115, 10255, 13967? 286*c**2 - 6*c - 5 What is the d'th term of -1481, -1489, -1501, -1517, -1537, -1561, -1589? -2*d**2 - 2*d - 1477 What is the r'th term of -2979, -2917, -2815, -2673, -2491, -2269, -2007? 20*r**2 + 2*r - 3001 What is the l'th term of -300, -747, -1472, -2475? -139*l**2 - 30*l - 131 What is the i'th term of -215997, -431988, -647977, -863964, -1079949, -1295932, -1511913? i**2 - 215994*i - 4 What is the a'th term of 1940, 3295, 4662, 6047, 7456, 8895, 10370? a**3 + 1348*a + 591 What is the z'th term of -6859, -6867, -6875, -6883? -8*z - 6851 What is the z'th term of 1412893, 2825786, 4238679, 5651572? 1412893*z What is the x'th term of 439, 3299, 11057, 26161, 51059? 408*x**3 + x**2 + x + 29 What is the s'th term of 1796, 1801, 1806, 1811? 5*s + 1791 What is the x'th term of 9, -17, -53, -105, -179, -281, -417, -593? -x**3 + x**2 - 22*x + 31 What is the n'th term of 8778, 17564, 26350, 35136? 8786*n - 8 What is the b'th term of 3327, 3333, 3343, 3357, 3375, 3397, 3423? 2*b**2 + 3325 What is the v'th term of 7002, 7009, 7020, 7035, 7054, 7077, 7104? 2*v**2 + v + 6999 What is the z'th term of -413, -1662, -3739, -6638, -10353, -14878, -20207? z**3 - 420*z**2 + 4*z + 2 What is the u'th term of 99093, 99091, 99079, 99051, 99001? -u**3 + u**2 + 2*u + 99091 What is the k'th term of 34555, 69103, 103651, 138199, 172747, 207295? 34548*k + 7 What is the a'th term of -132610, -265242, -397874, -530506, -663138? -132632*a + 22 What is the o'th term of -347, -670, -975, -1262? 9*o**2 - 350*o - 6 What is the y'th term of 20, 41, 64, 89, 116, 145, 176? y**2 + 18*y + 1 What is the j'th term of 144, 340, 614, 990, 1492, 2144, 2970? 4*j**3 + 15*j**2 + 123*j + 2 What is the q'th term of -326946, -326940, -326934, -326928? 6*q - 326952 What is the l'th term of 132, 147, 176, 219? 7*l**2 - 6*l + 131 What is the f'th term of -13010, -52034, -117074, -208130, -325202, -468290? -13008*f**2 - 2 What is the b'th term of -18658544, -18658546, -18658550, -18658556, -18658564, -18658574, -18658586? -b**2 + b - 18658544 What is the n'th term of -67566, -67547, -67526, -67503? n**2 + 16*n - 67583 What is the u'th term of 191517, 191486, 191429, 191340, 191213, 191042, 190821, 190544? -u**3 - 7*u**2 - 3*u + 191528 What is the i'th term of 47, -27, -145, -307? -22*i**2 - 8*i + 77 What is the t'th term of -401, -543, -675, -791, -885, -951, -983, -975? t**3 - t**2 - 146*t - 255 What is the f'th term of 210119, 420241, 630365, 840491, 1050619? f**2 + 210119*f - 1 What is the h'th term of 2112, 3841, 5556, 7251, 8
{ "pile_set_name": "DM Mathematics" }
e Is 83813 composite? False Is 27865 a prime number? False Is 6047 a prime number? True Is 10265 a prime number? False Is 21863 a prime number? True Is 74234 a prime number? False Is 9353 a composite number? True Is 53299 prime? True Is 34249 a composite number? True Is 5447 prime? False Is 69973 prime? False Is 90787 prime? True Is 16961 composite? True Is 42469 a prime number? False Is 228349 a prime number? False Is 2729 prime? True Is 125699 a prime number? False Is 194371 composite? False Is 542651 prime? False Is 15629 a composite number? False Is 75473 composite? True Is 13669 composite? False Is 13679 prime? True Is 201007 prime? True Is 109169 prime? True Is 4201 a prime number? True Is 168617 prime? True Is 15689 a prime number? False Is 1693 composite? False Is 5623 a composite number? False Is 691109 a prime number? True Is 2269 prime? True Is 227329 a prime number? False Is 44027 prime? True Is 246049 prime? True Is 19529 prime? False Is 13253 a prime number? 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True Is 1893 prime? False Is 5155 a composite number? True Is 869965 a prime number? False Is 26759 composite? False Is 17483 a prime number? True Is 602543 a composite number? False Is 10673 a composite number? True Is 2579 a prime number? True Is 32699 a prime number? False Is 110419 composite? False Is 6686 prime? False Is 3299 prime? True Is 1361 composite? False Is 32117 prime? True Is 257311 composite? False Is 800311 a prime number? True Is 215123 composite? False Is 333419 prime? True Is 4831 composite? False Is 877 a prime number? True Is 95651 composite? False Is 7769 a composite number? True Is 1371551 prime? True Is 25399 a prime number? False Is 270061 composite? True Is 49681 a prime number? True Is 12953 prime? True Is 48703 prime? False Is 619015 composite? True Is 27043 a composite number? False Is 595513 composite? False Is 163817 composite? True Is 177 composite? True Is 412729 a prime number? False Is 17719589 a prime number? True Is 823829 a prime number? True Is 20455 composite? True Is 57403 a composite number? True Is 481531 a composite number? False Is 9778 a composite number? True Is 42667 a prime number? True Is 3502541 prime? False Is 269683 composite? False Is 116743 prime? False Is 27473 prime? False Is 10661 a prime number? False Is 65227 prime? False Is 1148711 composite? True Is 58529 prime? False Is 2269 a prime number? True Is 45389 prime? True Is 3594733 a prime number? True Is 207559 a composite number? True Is 8923 prime? True Is 61003 composite? True Is 9722 prime? False Is 13637 a prime number? False Is 26615 a prime number? False Is 124813 a prime number? False Is 37319 a prime number? False Is 5089 a composite number? True Is 16411 composite? False Is 19919 prime? True Is 147977 composite? False Is 3247 a composite number? True Is 18947 a prime number? True Is 14621 a composite number? False Is 11857 composite? True Is 3833 composite? False Is 281107 a composite number? True Is 13049 prime? True Is 3101 a composite number? True Is 35969 composite? False Is 401105 a prime number? False Is 25559 prime? False Is 25778 a composite number? True Is 5666 composite? True Is 8513 a prime number? True Is 26066 a prime number? False Is 231409 composite? False Is 16601 a prime number? False Is 27929 a prime number? False Is 3814 a prime number? False Is 113 prime? True Is 2051 a composite number? True Is 12569 composite? False Is 29251 prime? True Is 1169947 composite? True Is 1223 prime? True Is 12955 composite? True Is 452671 prime? True Is 376331 prime? False Is 412457 composite? False Is 1224079 prime? True Is 4197 a prime number? False Is 54577 composite? False Is 80537 composite? False Is 471737 a composite number? True Is 1133 a prime number? False Is 6563 composite? False Is 1597 a composite number? False Is 11597 composite? False Is 64054 prime? False Is 518633 prime? False Is 41639 a prime number? False Is 194897 prime? False Is 304117 composite? True Is 28277 a prime number? True Is 26293 a prime number? True Is 7753 a prime number? True Is 446149 a prime number? False Is 201049 composite? False Is 44071 a prime number? True Is 12037 a prime number? True Is 835 a prime number? False Is 5444155 a composite number? True Is 168409 a prime number? True Is 7039 prime? True Is 457979 a prime number? True Is 160967 composite? False Is 240691 a prime number? False Is 13537 a prime number? True Is 10555 prime? False Is 36977 prime? False Is 687079 a prime number? False Is 16537 composite? True Is 4201 a prime number? True Is 8962 prime? False Is 99707 a composite number? False Is 46162 prime? False Is 499511 prime? False Is 53503 a composite number? False Is 6491 composite? False Is 21433 composite? False Is 21617 a composite number? False Is 63319 composite? True Is 34718 a prime number? False Is 16673 a prime number? True Is 20627 prime? True Is 28973 prime? False Is 5386 prime? False Is 6163 a prime number? True Is 4189 a composite number? True Is 2587 composite? True Is 21205 composite? True Is 3982481 a prime number? True Is 22013 a prime number? True Is 1637147 a prime number? True Is 617027 a prime number? True Is 25045 prime? False Is 2374127 prime? False Is 30757 a prime number? True Is 1326683 composite? False Is 19801 prime?
{ "pile_set_name": "DM Mathematics" }
*n + 13 - 6 - 6. Let j = -2 + 2. Suppose 2*m - 8 = -2*q, j*q = -2*q + 10. Let w(o) = 7*o + 4. What is m*w(p) + 6*s(p)? -p + 2 Let x(o) = -o + 1. Let s(w) = -w**3 + 2*w**2 - w - 2. Let u(d) = -4*d**2 - 79*d - 56. Let v be u(-19). Calculate v*s(m) - x(m). -m**3 + 2*m**2 - 3 Let u(l) = -l**2 - 3*l - 5. Let z(b) = -6 - 57*b**2 - 4*b + 28*b**2 + 28*b**2. Suppose -4*i = 13 - 25. Calculate i*u(c) - 2*z(c). -c**2 - c - 3 Let p(b) = b**2 - 12*b + 31. Let c be p(9). Let u(m) = -6*m**2 - 2*m - 3. Let n = -5 - 0. Let q(w) = -7*w**2 - 3*w - 4. Determine c*q(y) + n*u(y). 2*y**2 - 2*y - 1 Let i(r) = r**2 - r + 1. Let g be ((-18)/(-27) - -6)*6/8. Let z(o) = -o**3 + 6*o**2 - 5*o + 5. Determine g*i(b) - z(b). b**3 - b**2 Let l(g) = g**3 + 2*g**2 - 2*g - 12. Let z(u) = u**3 + 2*u**2 - 2*u - 14. What is 5*l(y) - 4*z(y)? y**3 + 2*y**2 - 2*y - 4 Let p(u) = 30*u - 61. Let f(g) = -7*g + 15. Calculate 9*f(m) + 2*p(m). -3*m + 13 Let o(x) = 6*x**2 - 8*x - 8. Suppose 13 = 4*y + 1. Let t(c) = 11*c. Let l be t(y). Suppose -9 + l = -4*j. Let z(d) = 5*d**2 - 7*d - 7. Give j*o(f) + 7*z(f). -f**2 - f - 1 Let r(l) = l - 1. Let g(u) = -5*u + 6 + 6 - 4. Let q(h) = 2*h - 4. Let y(m) = 3*g(m) + 5*q(m). What is 11*r(p) + 2*y(p)? p - 3 Let x(w) = w + 1. Let q(a) = 2*a**2 + 2. Let k = 676 - 677. Determine k*x(u) + q(u). 2*u**2 - u + 1 Let o(h) = h. Let d(m) be the third derivative of -5*m**4/24 - m**3/6 + 178*m**2. What is -d(x) + o(x)? 6*x + 1 Let b(y) = -y**2 + 2*y - 1. Let c(n) = -n**2 - 14*n + 8. Let u(r) = 6*b(r) + c(r). Let p(o) = 7*o**2 + 3*o - 3. Determine 2*p(j) + 3*u(j). -7*j**2 Let m(d) be the third derivative of d**5/30 - 5*d**4/24 - d**3/6 + 35*d**2. Let i(n) = 3*n**2 - 6*n - 2. Calculate 3*i(z) - 4*m(z). z**2 + 2*z - 2 Suppose 3*a - 3*g + 3 = 0, -6 - 17 = -2*a - 3*g. Let s(n) = 9*n**2 + 6. Let r(m) = m**2 + 1. Calculate a*r(o) - s(o). -5*o**2 - 2 Let i(t) = t**2 - t + 1. Let y(d) = 2*d + 56. Give 2*i(o) + y(o). 2*o**2 + 58 Let a(u) = 26*u - 521. Let b be a(20). Let y(q) = 5*q - 4. Let n(z) = -11*z + 9. Let j(t) = 4*n(t) + 9*y(t). Let f(w) = -4*w - 2. What is b*j(x) - f(x)? 3*x + 2 Let w = 948 - 949. Let d(q) = 16*q**2 + 6*q. Let b(a) = -a. Calculate w*d(g) - 5*b(g). -16*g**2 - g Let d(x) be the first derivative of 1/4*x**4 - x + 0*x**2 + 1/3*x**3 - 4. Let j(v) = 5 + 3*v**2 - 5 - 2 + 2*v**3 - 1. What is -3*d(t) + j(t)? -t**3 Let a be 4/3 + (-6)/(-9). Let q(j) = -4 + 5 + a - 2. Let i(h) = -h + 2. What is -i(b) + 5*q(b)? b + 3 Let u(j) = 5*j**3 + 3*j**2 - 6*j + 6. Let y(s) = 6*s**3 + 4*s**2 - 7*s + 7. Suppose n + 4*o = 9*o - 22, 0 = -n - o - 4. Determine n*u(i) + 6*y(i). i**3 + 3*i**2 Let z(c) = -3*c**2 - 49*c + 1. Let v(x) = 4*x**2 + 50*x - 2. Calculate 5*v(o) + 6*z(o). 2*o**2 - 44*o - 4 Let k(b) = b**2 + 2*b + 1. Let l(w) = -6*w**2 - 35*w + 1. Give 4*k(g) + l(g). -2*g**2 - 27*g + 5 Let j(g) = 6*g + 92. Let u(q) = 3*q + 47. Determine -3*j(v) + 5*u(v). -3*v - 41 Let c(z) = -44*z + 64. Let p(n) = 16*n - 21. What is -3*c(o) - 8*p(o)? 4*o - 24 Let q(z) = 9*z**3 - z**2 + z - 1. Let k be q(1). Let h(s) = 22 - s - k + 2*s + 3*s. Let y(i) = i + 3. What is 3*h(v) - 14*y(v)? -2*v Let l(f) = 12*f + 9. Let s(w) = -12*w - 7. What is -4*l(h) - 5*s(h)? 12*h - 1 Let o(g) = -g**3 - 35*g**2 + 28. Let v be o(-35). Let k(u) = 4*u**2 + 14. Let x(j) = j**2 + 3. Give v*x(r) - 6*k(r). 4*r**2 Let v(a) = 2*a**3 - 2*a**2 - 4*a + 3. Let k(o) = 7*o**2 - 256*o**3 + 11*o + 110 + 250*o**3 - 119. Give -4*k(s) - 11*v(s). 2*s**3 - 6*s**2 + 3 Let p(v) = 326*v + 11. Let h(k) = -217*k - 7. Determine 8*h(y) + 5*p(y). -106*y - 1 Let k(p) = 14*p**3 + 2*p + 3. Let d = 44 - 39. Suppose 9 = -d*n - 4*s, -n + 5 = -6*n - 5*s. Let u(r) = -9*r**3 - r - 2. Calculate n*k(x) - 8*u(x). 2*x**3 - 2*x + 1 Let n(u) = 2*u**3 + 0*u + 3*u - 5 + u**3 - 3*u**2 + 2*u**3 + 0. Let k(r) = 0*r**2 - 2*r + 4 + 3*r**3 + 2*r**2 - 7*r**3. Calculate 3*k(x) + 2*n(x). -2*x**3 + 2 Let n(o) = 151*o + 2. Let g(k) = -k. Give 2*g(z) + n(z). 149*z + 2 Let b(u) = -29*u**3 + 3*u**2 - 2*u + 5. Let h(i) = 28*i**3 - 4*i**2 + 2*i - 6. Calculate 6*b(j) + 5*h(j). -34*j**3 - 2*j**2 - 2*j Let i(s) = -9*s - 19. Let c(m) = -17*m - 44. What is 4*c(r) - 9*i(r)? 13*r - 5 Suppose 23 = 5*o - x, 20 = 2*o - 0*o - 4*x. Let h(d) = d - 3. Let k(w) = w - 2. Suppose 0*j + j + 26 = -5*m, -3*j - 5*m = 38. Determine j*k(b) + o*h(b). -2*b Suppose k = -2*w + 1, -3*k + 8*k - 16 = w. Let x(m) be the first derivative of 4*m**3/3 - 3*m**2/2 - 6*m + 1193. Let q(g) = g**2 - g - 1. Give w*x(s) + 5*q(s). s**2 - 2*s + 1 Let u(s) = -9*s**3 + 4. Let j be (1/(-1))/(1/(-11)). Let d(o) = 5*o**3 - 2. Suppose -56*b + 139 = -197. Calculate b*u(l) + j*d(l). l**3 + 2 Let u(y) = -6*y - 1. Let t(s) = -697*s + 3. What is -t(l) - 2*u(l)? 709*l - 1 Let s(v) = -16*v**3. Let p = -113 + 116. Let g(a) = 15*a**3. What is p*g(d) + 2*s(d)? 13*d**3 Let m(l) = 2 - 3 + 4. Let i be 30/(-12)*(-8)/(-5). Let z(h) = -h**2 + 1. Let b(o) = 3*o**2 - 8. Let q(r) = i*z(r) - b(r). What is -4*m(t) + 3*q(t)? 3*t**2 Let y(z) = z**2 - 261*z + 5. Let a(d) = d + 1. What is -5*a(x) + y(x)? x**2 - 266*x Let r(c) = c**3 - 2*c**2 + 132*c + 2. Let q(y) = -4*y**3 + 9*y**2 - 532*y - 9. What is 4*q(j) + 18*r(j)? 2*j**3 + 248*j Let h(d) = 5*d**3 + 6*d**2 - 4*d - 15. Let l(b) = 15*b**3 + 17*b**2 - 11*b - 48. Calculate 17*h(j) - 6*l(j). -5*j**3 - 2*j + 33 Let n(h) = 3*h**2 - h - 3. Let r be 16/(-6)*(7 + -4). Let v = 14 + r. Let l(z) = -6 - v + 1 + 10 + z**2. What is -4*l(w) + n(w)? -w**2 - w + 1 Let d(b) = -b**3 + 6*b**2 + 4*b + 6. Suppose -261*w = -257*w + 24. Let x(g) = 2*g**3 - 13*g**2 - 8*g - 13. Determine w*x(a) - 13*d(a). a**3 - 4*a Let a(h) = -2*h**2 + 3*h + 1. Let d(x) = -3*x + 135. What is a(c) + d(c)? -2*c**2 + 136 Let n(v) = v - 1. Let i = -9 - -17. Let l = -6 + i. Let k(b) = -5*b - 4 - l*b + b**2 + 5 + 5*b. Determine -k(o) - 2*n(o). -o**2 + 1 Let s(m) = -6*m**3 - 2*m**2 + 4*m + 58. Let h(p) = -2*p**3 - p**2 + 2*p + 1. What is -2*h(r) + s(r)? -2*r**3 + 56 Let d(v) = -18*v**3 + 5*v**2 - 9. Let r(w) = 18*w**3 - 6*w**2 + 8. Calculate 4*d(o) + 3*r(o). -18*o**3 + 2*o**2 - 12 Let f(o) = 5*o**3 - 2*o**2 - 6*o + 2. Let m(r) = -11*r**3 + 4*r**2 + 12*r - 5. Give 5*f(p) + 2*m(p). 3*p**3 - 2*p**2 - 6*p Let n(u) = -48*u**3 + 10*u. Let v(q) = -16*q**3 + 3*q. Let p be (1 - 1 - 3)/((-5)/5). What is p*n(i) - 10*v(i)? 16*i**3 Let w(j) = 28*j**2 + 6*j + 10. Let g(r) = 83*r**2 + 17*r + 28. Determine 6*g(o) - 17*w(o). 22*o**2 - 2 Let h(n) be the third derivative of -n**5/60 + n**4/24 - 5*n**3/6 + 591*n**2. Let t(u) = 5*u**2 - 5*u + 25. Determine 11*h(p) + 2*t(p). -p**2 + p - 5 Let x(n) = 5*n**2 + n + 4. Let j = 7 + -11. Let i(l) = -3*l**2 + 2 - 5 - l**2. Calculate j*i(v) - 3*x(v). v**2 - 3*v Let d(h) = 3*h**3 - 5*h - 5. Let v(q) = 3*q**3 - 5*q - 5. Let z(b) = 5*d(b) - 4*v(b). Let c(o) = -8*o**3 + 14*o + 14. Calculate 5*c(t) + 14*z(t). 2*t**3 Let o(y) = 2*y**3 - 4*y. Let i(v) = v**2 - v + 2. Let f be 1 + -3 - (-12)/3. Let p be i(f). Let x(b) = p + 0 - b - 4. What is -o(h) + 4*x(h)? -2*h**3 Let p(q) be the third derivative of -q**5/15 + q**3/2 - 4*q**2 + 12*q. Let w(h) = -11*h**2 + 8. Calculate 17*p(z) - 6*w(z). -2*z**2 + 3 Let a(v) = 9*v**3 + 7*v**2 + 6*v - 8. Let c(t) = -t**3 - t**2 - t + 1. Calculate -a(k) - 6*c(k). -3*k**3 - k**2 + 2 Let a(r) = 11*r - 4. Let h(z) = 21*z - 9. Let v be ((-18)/153)/(-1) - 155/17. What is v*a(m) + 4*h(m)? -15*m Let o(x) = -4*x - 15. Let q(d) = 4*d + 14. What is -7*o(h) - 6*q(h)? 4*h + 21 Let u(m) = 11*m - 18*m + 8*m - 4 - 2*m. Let o(h) = 3*h + 9. Let y = -14 - -6. Let v be 8/6 - y/12. Calculate v*o(a) + 5*u(a). a - 2 Let p(n) = n**2 + 1. Let w(z) = -4*z**2 - 5*z - 8. Give -6*p(r) - w(r). -2*r**2 + 5*r + 2 Suppose -21 - 24 = 9*s. Let i(a) = 2*a - 8. Let b(y) = -y + 5. Determine s*i(z) - 8*b(z). -2*z Let n(x) = -x**3 + 2*x**2 + 6*x + 5. Let h be n(-1). Let d(q) = q**3 - q**2 - 1. Let f(s) = 3*s**3 + 8*s**2 - 1. Give h*d(i) - f(i). -i**3 - 10*i**2 - 1 Let v(f) = 11*f**2 + 34*f + 7. Let q(p) = 5*p**2 + 15*p + 3. Let t(y) = 9*q(y) - 4*v(y). Let a(o) = -6*o**2 + 12*o + 12. What is a(s) + 12*t(s)? 6*s**2 Let s(i) = -2*i**2 - 3*i - 1. Let w(h) = -h**2 - 2*h. Suppose 0 = -3*j + 17 + 28. Let u = 18 - j. Calculate u*s(z) - 5*w(z). -z**2 + z - 3 Let z(t) = -t**3 + t**2 + t. Let i(j) = -5*j**2 - 5*j**3 + j**2 + 2*j**3 + 14*j**3
{ "pile_set_name": "DM Mathematics" }
-0.0000011619 rounded to seven dps? -0.0000012 Round -0.004162 to three dps. -0.004 What is 0.6 rounded to the nearest ten? 0 Round 0.0408 to three dps. 0.041 What is 693 rounded to the nearest 10? 690 Round -67800 to the nearest 1000. -68000 Round -0.006313 to four dps. -0.0063 What is 14906800 rounded to the nearest one million? 15000000 What is 0.066731 rounded to two decimal places? 0.07 Round -0.00003675 to six dps. -0.000037 What is 100320000 rounded to the nearest 1000000? 100000000 Round 0.00025334 to five decimal places. 0.00025 Round -0.000029912 to seven dps. -0.0000299 Round 1820 to the nearest 100. 1800 What is 7271000 rounded to the nearest 100000? 7300000 What is -4811.3 rounded to the nearest 10? -4810 What is 0.000016094 rounded to 7 dps? 0.0000161 Round 5505000 to the nearest one million. 6000000 Round 0.00057458 to five decimal places. 0.00057 What is -0.00053 rounded to four dps? -0.0005 What is -8616.1 rounded to the nearest one thousand? -9000 What is -0.19818 rounded to three dps? -0.198 What is 0.0000057492 rounded to six dps? 0.000006 Round 0.000003872 to 7 dps. 0.0000039 What is -0.0097413 rounded to 4 decimal places? -0.0097 What is 0.0536 rounded to 3 dps? 0.054 Round -43.63 to the nearest integer. -44 What is 5.4 rounded to the nearest integer? 5 Round 575860 to the nearest one hundred thousand. 600000 What is 0.00012 rounded to three dps? 0 What is 1466000 rounded to the nearest 100000? 1500000 Round 0.016391 to 4 decimal places. 0.0164 What is 0.04795 rounded to three decimal places? 0.048 What is 153200 rounded to the nearest one thousand? 153000 What is 1.44205 rounded to 3 decimal places? 1.442 Round 9.19 to zero dps. 9 What is 0.39241 rounded to three decimal places? 0.392 Round 26.5585 to 0 decimal places. 27 Round -0.00002469 to 6 dps. -0.000025 What is 1320000 rounded to the nearest 1000000? 1000000 Round 1593.66 to the nearest one hundred. 1600 Round -28.7 to the nearest integer. -29 What is 41641 rounded to the nearest 100? 41600 Round -5474200 to the nearest one hundred thousand. -5500000 Round -0.07794 to 2 decimal places. -0.08 Round 0.00006191 to six dps. 0.000062 Round 51489000 to the nearest 1000000. 51000000 What is -0.0046491 rounded to four decimal places? -0.0046 What is 0.0139 rounded to 3 decimal places? 0.014 What is 0.0004053 rounded to 5 dps? 0.00041 What is -3106 rounded to the nearest 1000? -3000 What is -0.0013841 rounded to four dps? -0.0014 Round -19.06 to the nearest ten. -20 Round -0.0709 to 3 dps. -0.071 What is 0.001288 rounded to 5 decimal places? 0.00129 Round -0.0059703 to 4 decimal places. -0.006 Round -3.4 to the nearest 10. 0 What is -0.000032871 rounded to seven decimal places? -0.0000329 What is -156730 rounded to the nearest one thousand? -157000 Round -0.0046068 to 4 dps. -0.0046 Round 275.8 to the nearest one hundred. 300 What is -0.67859 rounded to two decimal places? -0.68 What is 0.000261641 rounded to six decimal places? 0.000262 What is -32930 rounded to the nearest one thousand? -33000 What is -1.06452 rounded to 2 decimal places? -1.06 Round -103.95 to zero decimal places. -104 What is 5850 rounded to the nearest 1000? 6000 Round -2.74 to the nearest integer. -3 What is -6304400 rounded to the nearest one million? -6000000 What is 0.009423 rounded to three decimal places? 0.009 Round -0.0002208 to 5 decimal places. -0.00022 Round 0.017802 to 3 dps. 0.018 Round 9660 to the nearest 1000. 10000 What is -16580 rounded to the nearest 1000? -17000 Round 0.05312 to 2 dps. 0.05 Round -0.06231 to 2 dps. -0.06 What is 7240100 rounded to the nearest one hundred thousand? 7200000 What is 2894 rounded to the nearest 1000? 3000 Round 0.0001529 to 4 decimal places. 0.0002 Round 0.406 to the nearest integer. 0 What is -0.0032682 rounded to 4 dps? -0.0033 Round -187369 to the nearest 1000. -187000 Round 0.0070377 to 5 decimal places. 0.00704 What is -9674000 rounded to the nearest one million? -10000000 What is -15111 rounded to the nearest 100? -15100 Round -2297 to the nearest 100. -2300 Round -0.001268 to three dps. -0.001 Round -5426000 to the nearest one hundred thousand. -5400000 What is -0.96 rounded to 1 dp? -1 Round 7.842 to the nearest integer. 8 Round 16.63 to one dp. 16.6 What is 196000 rounded to the nearest 10000? 200000 Round -460.2 to the nearest one hundred. -500 What is -1202 rounded to the nearest 100? -1200 What is 3918.2 rounded to the nearest 10? 3920 Round -0.001208 to five decimal places. -0.00121 Round -127.9 to the nearest ten. -130 What is 0.00008303 rounded to 6 dps? 0.000083 What is -0.0015056 rounded to 4 dps? -0.0015 Round 88800 to the nearest 1000. 89000 What is -0.0016981 rounded to 4 decimal places? -0.0017 Round 134000 to the nearest 100000. 100000 What is 189150 rounded to the nearest one thousand? 189000 Round -74050000 to the nearest 1000000. -74000000 Round -294900 to the nearest one hundred thousand. -300000 Round -93.18 to the nearest 10. -90 Round -0.000005024 to 7 dps. -0.000005 What is -116.5 rounded to the nearest ten? -120 Round -554180 to the nearest 10000. -550000 Round -4006 to the nearest one hundred. -4000 What is 0.000926 rounded to three dps? 0.001 Round 0.07482 to 3 dps. 0.075 Round 0.2052 to 2 decimal places. 0.21 Round -0.003725 to three decimal places. -0.004 What is -912000 rounded to the nearest 100000? -900000 What is -4099 rounded to the nearest 1000? -4000 What is -74.58 rounded to the nearest 10? -70 Round 0.000442 to four dps. 0.0004 Round 0.06328 to 3 decimal places. 0.063 Round -11.96 to the nearest 10. -10 Round 3193 to the nearest one hundred. 3200 Round 0.05343 to three dps. 0.053 What is -0.000059131 rounded to 5 decimal places? -0.00006 What is -4090 rounded to the nearest ten thousand? 0 What is -81000 rounded to the nearest 10000? -80000 What is 0.0008846 rounded to three dps? 0.001 Round 0.000143 to five decimal places. 0.00014 Round -0.049759 to 2 dps. -0.05 Round -515100 to the nearest one hundred thousand. -500000 What is 584780 rounded to the nearest ten thousand? 580000 What is -89.08 rounded to the nearest ten? -90 What is -197.2 rounded to the nearest ten? -200 What is -0.2314 rounded to one decimal place? -0.2 What is 2560 rounded to the nearest one hundred? 2600 What is -30500 rounded to the nearest 100000? 0 Round 31.5 to the nearest 10. 30 Round -2.268 to 1 decimal place. -2.3 Round -0.00091217 to 6 decimal places. -0.000912 Round 0.00830576 to four dps. 0.0083 Round 205.357 to the nearest integer. 205 Round -0.00000031071 to 7 dps. -0.0000003 What is -0.0000002575 rounded to 7 decimal places? -0.0000003 What is -0.0006 rounded to 5 dps? -0.0006 What is 13390 rounded to the nearest 100? 13400 Round 0.000004746 to seven decimal places. 0.0000047 Round 0.000007937 to six decimal places. 0.000008 What is -0.0049026 rounded to three dps? -0.005 What is 43.506 rounded to the nearest integer? 44 Round -0.00038891 to six dps. -0.000389 Round -72000 to the nearest 10000. -70000 What is 816.1 rounded to the nearest ten? 820 What is -0.528091 rounded to two decimal places? -0.53 Round 386050 to the nearest 10000. 390000 What is 0.596015 rounded to 1 dp? 0.6 What is 5.5477 rounded to one decimal place? 5.5 What is 84.781 rounded to zero decimal places? 85 What is -584610 rounded to the nearest one thousand? -585000 Round 667.1 to the nearest 100. 700 Round -55700 to the nearest ten thousand. -60000 What is -5759.7 rounded to the nearest one thousand? -6000 Round -11.9 to the nearest integer. -12 What is 0.06696 rounded to 3 decimal places? 0.067 Round -14577.1 to the nearest one hundred. -14600 What is 0.51197 rounded to three dps? 0.512 Round -0.00000138143 to seven decimal places. -0.0000014 What is -0.00071 rounded to four decimal places? -0.0007 Round 23462500 to the nearest one hundred thousand. 23500000 Round 0.0004062 to four decimal places. 0.0004 Round -592760 to the nearest 10000. -590000 Round 0.0000651 to 5 decimal places. 0.00007 Round 431.9 to the nearest ten. 430 What is 12.05 rounded to the nearest integer? 12 What is -169200 rounded to the nearest 1000? -169000 What is 3.6424 rounded to 0 decimal places? 4 Round -8003000 to the nearest 1000000. -8000000 What is 0.000262 rounded to four
{ "pile_set_name": "DM Mathematics" }
4:09 PM and 1:52 AM? 583 How many minutes are there between 12:25 AM and 12:14 PM? 709 What is 419 minutes after 11:37 PM? 6:36 AM How many minutes are there between 4:22 PM and 2:47 AM? 625 What is 156 minutes after 5:44 AM? 8:20 AM How many minutes are there between 9:27 AM and 10:15 AM? 48 How many minutes are there between 5:32 AM and 8:08 AM? 156 What is 715 minutes after 1:33 PM? 1:28 AM What is 302 minutes before 4:04 PM? 11:02 AM How many minutes are there between 6:43 AM and 3:31 PM? 528 What is 231 minutes before 2:06 PM? 10:15 AM How many minutes are there between 3:52 PM and 4:04 PM? 12 How many minutes are there between 10:27 PM and 3:37 AM? 310 What is 270 minutes before 6:53 PM? 2:23 PM How many minutes are there between 12:38 PM and 12:27 AM? 709 What is 243 minutes before 2:02 PM? 9:59 AM What is 331 minutes before 3:27 AM? 9:56 PM How many minutes are there between 11:27 AM and 6:36 PM? 429 What is 710 minutes before 10:55 AM? 11:05 PM How many minutes are there between 2:33 PM and 6:04 PM? 211 How many minutes are there between 10:54 PM and 3:00 AM? 246 What is 166 minutes before 6:12 PM? 3:26 PM How many minutes are there between 7:43 AM and 1:50 PM? 367 How many minutes are there between 12:14 AM and 2:14 AM? 120 How many minutes are there between 1:22 AM and 8:10 AM? 408 How many minutes are there between 7:44 PM and 8:51 PM? 67 How many minutes are there between 3:27 AM and 1:55 PM? 628 What is 398 minutes before 5:41 AM? 11:03 PM What is 277 minutes after 5:06 AM? 9:43 AM How many minutes are there between 2:29 AM and 3:02 AM? 33 What is 702 minutes before 12:39 AM? 12:57 PM What is 474 minutes after 6:18 AM? 2:12 PM What is 302 minutes after 5:18 PM? 10:20 PM How many minutes are there between 5:49 PM and 12:39 AM? 410 How many minutes are there between 4:11 AM and 10:25 AM? 374 What is 185 minutes after 4:36 AM? 7:41 AM How many minutes are there between 7:33 PM and 9:03 PM? 90 How many minutes are there between 5:42 PM and 7:57 PM? 135 What is 680 minutes before 6:14 AM? 6:54 PM How many minutes are there between 5:04 PM and 11:20 PM? 376 How many minutes are there between 4:53 AM and 1:59 PM? 546 How many minutes are there between 3:11 AM and 2:39 PM? 688 How many minutes are there between 1:56 AM and 4:08 AM? 132 What is 283 minutes after 11:28 AM? 4:11 PM How many minutes are there between 4:58 PM and 1:00 AM? 482 What is 473 minutes before 1:54 AM? 6:01 PM What is 292 minutes before 4:00 PM? 11:08 AM How many minutes are there between 10:07 AM and 4:13 PM? 366 What is 250 minutes before 4:08 PM? 11:58 AM How many minutes are there between 3:57 AM and 10:03 AM? 366 How many minutes are there between 1:23 AM and 6:02 AM? 279 What is 576 minutes before 9:45 AM? 12:09 AM What is 623 minutes after 5:34 AM? 3:57 PM What is 514 minutes after 7:14 AM? 3:48 PM How many minutes are there between 8:02 AM and 8:56 AM? 54 How many minutes are there between 8:39 PM and 9:27 PM? 48 How many minutes are there between 8:56 PM and 8:43 AM? 707 What is 27 minutes after 7:27 PM? 7:54 PM How many minutes are there between 1:53 PM and 6:48 PM? 295 How many minutes are there between 11:34 PM and 9:31 AM? 597 How many minutes are there between 7:39 PM and 10:54 PM? 195 How many minutes are there between 2:45 AM and 11:40 AM? 535 What is 532 minutes before 5:50 PM? 8:58 AM How many minutes are there between 3:39 PM and 11:44 PM? 485 How many minutes are there between 8:33 PM and 7:20 AM? 647 What is 367 minutes before 1:10 AM? 7:03 PM How many minutes are there between 3:48 PM and 7:10 PM? 202 What is 710 minutes before 1:52 PM? 2:02 AM How many minutes are there between 9:25 PM and 12:21 AM? 176 How many minutes are there between 4:41 PM and 11:06 PM? 385 What is 181 minutes after 10:45 PM? 1:46 AM What is 165 minutes before 5:47 AM? 3:02 AM How many minutes are there between 11:49 AM and 9:44 PM? 595 How many minutes are there between 1:20 PM and 9:45 PM? 505 What is 693 minutes after 4:30 PM? 4:03 AM How many minutes are there between 3:22 AM and 2:23 PM? 661 How many minutes are there between 6:50 PM and 8:51 PM? 121 How many minutes are there between 7:13 AM and 12:18 PM? 305 What is 71 minutes before 8:40 AM? 7:29 AM What is 463 minutes before 11:05 AM? 3:22 AM How many minutes are there between 8:18 AM and 10:56 AM? 158 How many minutes are there between 10:53 PM and 6:55 AM? 482 How many minutes are there between 7:42 AM and 2:43 PM? 421 How many minutes are there between 12:44 AM and 2:59 AM? 135 How many minutes are there between 2:29 PM and 3:25 PM? 56 What is 154 minutes after 7:17 AM? 9:51 AM How many minutes are there between 2:31 PM and 4:31 PM? 120 How many minutes are there between 5:53 AM and 4:50 PM? 657 How many minutes are there between 5:03 AM and 12:39 PM? 456 What is 237 minutes before 3:12 AM? 11:15 PM What is 402 minutes after 3:18 PM? 10:00 PM How many minutes are there between 7:23 PM and 9:20 PM? 117 How many minutes are there between 10:11 AM and 12:18 PM? 127 What is 298 minutes before 8:44 AM? 3:46 AM How many minutes are there between 3:15 PM and 5:48 PM? 153 What is 597 minutes after 9:06 AM? 7:03 PM What is 252 minutes after 6:26 AM? 10:38 AM What is 202 minutes before 3:29 AM? 12:07 AM How many minutes are there between 2:52 AM and 3:55 AM? 63 How many minutes are there between 7:12 PM and 4:24 AM? 552 How many minutes are there between 1:59 PM and 8:15 PM? 376 How many minutes are there between 5:26 PM and 8:13 PM? 167 What is 459 minutes before 2:34 AM? 6:55 PM What is 660 minutes after 5:45 AM? 4:45 PM How many minutes are there between 8:26 PM and 6:56 AM? 630 How many minutes are there between 9:43 PM and 9:33 AM? 710 What is 237 minutes before 1:02 AM? 9:05 PM How many minutes are there between 11:22 PM and 10:19 AM? 657 What is 203 minutes before 10:56 PM? 7:33 PM How many minutes are there between 3:00 AM and 4:50 AM? 110 What is 289 minutes after 7:37 AM? 12:26 PM What is 376 minutes after 1:31 PM? 7:47 PM What is 572 minutes after 1:49 AM? 11:21 AM What is 331 minutes before 9:25 PM? 3:54 PM What is 176 minutes after 7:57 AM? 10:53 AM What is 715 minutes before 6:51 PM? 6:56 AM How many minutes are there between 3:53 AM and 2:00 PM? 607 How many minutes are there between 10:19 PM and 12:52 AM? 153 What is 410 minutes after 7:48 PM? 2:38 AM How many minutes are there between 6:08 AM and 6:35 AM? 27 What is 77 minutes before 2:07 PM? 12:50 PM What is 155 minutes before 4:43 PM? 2:08 PM What is 627 minutes after 9:50 AM? 8:17 PM How many minutes are there between 5:46 PM and 11:41 PM? 355 How many minutes are there between 10:20 AM and 11:10 AM? 50 What is 689 minutes before 10:12 AM? 10:43 PM What is 266 minutes after 5:07 PM? 9:33 PM How many minutes are there between 4:45 PM and 8:58 PM? 253 How many minutes are there between 9:16 AM and 12:20 PM? 184 What is 623 minutes before 6:07 AM? 7:44 PM How many minutes are there between 8:22 PM and 5:58 AM? 576 How many minutes are there between 7:54 AM and 10:00 AM? 126 What is 706 minutes before 1:17 AM? 1:31 PM How many minutes are there between 11:52 AM and 11:01 PM? 669 How many minutes are there between 9:19 AM and 6:39 PM? 560 How many minutes are there between 12:18 PM and 9:16 PM? 538 What is 530 minutes after 9:06 PM? 5:56 AM How many minutes are there between 6:40 PM and 9:57 PM? 197 How many minutes are there between 8:23 AM and 10:20 AM? 117 What is 439 minutes after 6:28 PM? 1:47 AM How many minutes are there between 9:24 AM and 7:13 PM? 589 How many minutes are there between 9:22 AM and 6:52 PM? 570 What is 14 minutes before 5:22 PM? 5:08 PM How many minutes are there between 11:43 AM and 5:37 PM? 354 What is 612 minutes before 4:22 PM? 6:10 AM What is 517 minutes before 9:10 PM? 12:33 PM What is 410 minutes before 4:49 PM? 9:59 AM What is 677 minutes before 11:14 PM? 11:57 AM How many minutes are there between 11:33 AM and 1:03 PM? 90 What is 4 minutes before 10:04 PM? 10:00 PM What is 186 minutes after 8:10 PM? 11:16 PM What is 92 minutes before 5:53 PM? 4:21 PM What is 665 minutes after 3:23 AM? 2:28 PM How many minutes are there between 10:32 PM and 3:02 AM? 270 What is 167 minutes after 12:58 PM? 3:45 PM How many minutes are
{ "pile_set_name": "DM Mathematics" }
, 3062, 4634, 6264, 7970, 9770, 11682? 3*d**3 + 2*d**2 + 1505*d + 20 What is the k'th term of -9673756, -9673758, -9673760, -9673762? -2*k - 9673754 What is the u'th term of 169, 657, 1465, 2593? 160*u**2 + 8*u + 1 What is the m'th term of 3583, 7169, 10755, 14341, 17927? 3586*m - 3 What is the x'th term of -9713, -19395, -29065, -38717, -48345, -57943? x**3 - 9689*x - 25 What is the f'th term of -71013, -142023, -213033? -71010*f - 3 What is the b'th term of -40, -196, -492, -958, -1624, -2520, -3676, -5122? -5*b**3 - 40*b**2 - b + 6 What is the x'th term of 19835, 39493, 59151, 78809, 98467, 118125? 19658*x + 177 What is the p'th term of 1945, 1700, 1301, 754, 65? p**3 - 83*p**2 - 3*p + 2030 What is the w'th term of -69155, -138302, -207435, -276548, -345635, -414690, -483707, -552680? w**3 + w**2 - 69157*w What is the s'th term of -299, -402, -505, -608, -711, -814? -103*s - 196 What is the v'th term of 123, 485, 1077, 1887, 2903, 4113, 5505? -2*v**3 + 127*v**2 - 5*v + 3 What is the v'th term of 37610, 75219, 112828, 150437, 188046? 37609*v + 1 What is the a'th term of 712, 2589, 5646, 9889, 15324? a**3 + 584*a**2 + 118*a + 9 What is the w'th term of 2696, 2690, 2684? -6*w + 2702 What is the p'th term of 247, 233, 209, 169, 107, 17, -107, -271? -p**3 + p**2 - 10*p + 257 What is the b'th term of 605, 704, 843, 1016, 1217, 1440, 1679, 1928? -b**3 + 26*b**2 + 28*b + 552 What is the k'th term of -1102, -2163, -3224, -4285, -5346, -6407? -1061*k - 41 What is the k'th term of 15157, 30292, 45425, 60556? -k**2 + 15138*k + 20 What is the s'th term of 757, 729, 665, 553, 381, 137, -191, -615? -2*s**3 - 6*s**2 + 4*s + 761 What is the h'th term of 39102, 78199, 117296, 156393? 39097*h + 5 What is the x'th term of -13566, -13609, -13680, -13779, -13906, -14061? -14*x**2 - x - 13551 What is the m'th term of -2831, -11337, -25509, -45347? -2833*m**2 - 7*m + 9 What is the s'th term of 19, 238, 903, 2260, 4555? 41*s**3 - 23*s**2 + s What is the u'th term of -5337, -10652, -15967, -21282, -26597? -5315*u - 22 What is the g'th term of 87096, 87093, 87090, 87087? -3*g + 87099 What is the i'th term of -52648, -105286, -157910, -210514, -263092, -315638, -368146, -420610? i**3 + i**2 - 52648*i - 2 What is the t'th term of 219, 775, 1687, 2955, 4579, 6559? 178*t**2 + 22*t + 19 What is the i'th term of 2817, 2780, 2719, 2634, 2525? -12*i**2 - i + 2830 What is the q'th term of 14381992, 14381991, 14381990, 14381989, 14381988? -q + 14381993 What is the v'th term of -240, -493, -742, -987, -1228, -1465? 2*v**2 - 259*v + 17 What is the m'th term of 16046, 32094, 48144, 64196, 80250? m**2 + 16045*m What is the v'th term of 244, 502, 916, 1480, 2188? -v**3 + 84*v**2 + 13*v + 148 What is the s'th term of 4282, 8552, 12822? 4270*s + 12 What is the n'th term of -33363, -33358, -33353, -33348? 5*n - 33368 What is the g'th term of -4352, -4355, -4362, -4373? -2*g**2 + 3*g - 4353 What is the s'th term of -50129, -50140, -50159, -50186, -50221, -50264, -50315? -4*s**2 + s - 50126 What is the x'th term of 1048, 1920, 2792, 3664, 4536, 5408? 872*x + 176 What is the i'th term of 24807, 24819, 24845, 24891, 24963, 25067, 25209, 25395? i**3 + i**2 + 2*i + 24803 What is the l'th term of -29781, -29785, -29789? -4*l - 29777 What is the v'th term of 70, 94, 104, 100, 82? -7*v**2 + 45*v + 32 What is the a'th term of -54315, -108633, -162955, -217281? -2*a**2 - 54312*a - 1 What is the q'th term of -514399, -1028795, -1543191, -2057587, -2571983? -514396*q - 3 What is the l'th term of 3053, 6109, 9171, 12239? 3*l**2 + 3047*l + 3 What is the w'th term of -23, -68, -159, -314, -551, -888, -1343, -1934? -3*w**3 - 5*w**2 - 9*w - 6 What is the y'th term of -261639, -523274, -784909, -1046544, -1308179, -1569814? -261635*y - 4 What is the f'th term of 4746, 38013, 128314, 304167, 594090, 1026601, 1630218? 4753*f**3 - f**2 - f - 5 What is the o'th term of 1809, 3546, 5241, 6888, 8481, 10014, 11481? -o**3 - 15*o**2 + 1789*o + 36 What is the z'th term of 146, 299, 454, 611? z**2 + 150*z - 5 What is the d'th term of -1100, -2202, -3304, -4406, -5508, -6610? -1102*d + 2 What is the q'th term of -351, -1288, -2799, -4884, -7543, -10776? -287*q**2 - 76*q + 12 What is the o'th term of 8061, 16037, 23927, 31731, 39449? -43*o**2 + 8105*o - 1 What is the h'th term of 3996, 3967, 3940, 3915, 3892? h**2 - 32*h + 4027 What is the v'th term of 31219, 62462, 93705, 124948, 156191, 187434? 31243*v - 24 What is the r'th term of -101, 46, 457, 1270, 2623? 23*r**3 - 6*r**2 + 4*r - 122 What is the j'th term of -858, -726, -590, -450, -306? 2*j**2 + 126*j - 986 What is the p'th term of -69404, -69394, -69384? 10*p - 69414 What is the v'th term of 4645, 9089, 13535, 17983? v**2 + 4441*v + 203 What is the m'th term of 229, 473, 717? 244*m - 15 What is the y'th term of 425, 850, 1283, 1730, 2197, 2690, 3215, 3778? y**3 - 2*y**2 + 424*y + 2 What is the o'th term of -68702, -68712, -68736, -68780, -68850? -o**3 - o**2 - 68700 What is the h'th term of 849, 1720, 2595, 3474, 4357? 2*h**2 + 865*h - 18 What is the t'th term of -14672, -29340, -44006, -58670, -73332, -87992, -102650? t**2 - 14671*t - 2 What is the i'th term of 3924, 7789, 11616, 15405, 19156? -19*i**2 + 3922*i + 21 What is the x'th term of -168801, -168803, -168805, -168807, -168809, -168811? -2*x - 168799 What is the u'th term of 185, 394, 659, 1010, 1477? 5*u**3 - 2*u**2 + 180*u + 2 What is the s'th term of -2651, -2854, -3057, -3260, -3463? -203*s - 2448 What is the x'th term of 417, 981, 1545? 564*x - 147 What is the k'th term of 103, 127, 173, 241, 331? 11*k**2 - 9*k + 101 What is the k'th term of 88, 378, 872, 1570, 2472, 3578, 4888? 102*k**2 - 16*k + 2 What is the s'th term of 1706915, 1706922, 1706933, 1706948, 1706967, 1706990, 1707017? 2*s**2 + s + 1706912 What is the j'th term of -51557, -103105, -154653, -206201, -257749? -51548*j - 9 What is the g'th term of 2005991, 2005992, 2005993? g + 2005990 What is the j'th term of 3096, 3079, 3052, 3009, 2944? -j**3 + j**2 - 13*j + 3109 What is the o'th term of 6822, 6834, 6862, 6912, 6990? o**3 + 2*o**2 - o + 6820 What is the w'th term of 971, 1939, 2911, 3887? 2*w**2 + 962*w + 7 What is the a'th term of -10754, -10756, -10760, -10766, -10774, -10784, -10796? -a**2 + a - 10754 What is the o'th term of 250212, 250209, 250206, 250203, 250200, 250197? -3*o + 250215 What is the k'th term of -559, -1067, -1549, -1993, -2387, -2719? 2*k**3 + k**2 - 525*k - 37 What is the v'th term of -28107, -28109, -28127, -28173, -28259, -28397, -28599, -28877? -2*v**3 + 4*v**2 - 28109 What is the c'th term of 244, 240, 238, 238? c**2 - 7*c + 250 What is the o'th term of -19861, -19900, -19965, -20056, -20173? -13*o**2 - 19848 What is the a'th term of -4009, -16049, -36121, -64225, -100361, -144529? -4016*a**2 + 8*a - 1 What is the s'th term of 7033, 28034, 63027, 112006, 174965, 251898, 342799? -s**3 + 7002*s**2 + 2*s + 30 What is the z'th term of 44, 73, 66, -37, -296, -771, -1522? -10*z**3 + 42*z**2 - 27*z + 39 What is the u'th term of 300019, 300018, 300017, 300016? -u + 300020 What is the n'th term of -289, -655, -1021? -366*n + 77 What is the h'th term of -2261, -2266, -2271, -2276? -5*h - 2256 What is the v'th term of -41781, -41804, -41865, -41982, -42173, -42456, -42849, -43370? -3*v**3 - v**2 + v - 41778 What is the u'th term of 1055, 703, 339, -43, -449, -885? -u**3 - 345*u + 1401 What is the l'th term of 107, 320, 703, 1280, 2075, 3112? 4*l**3 + 61*l**2 + 2*l + 40 What is the i'th term of -680860, -680861, -680862, -680863, -680864? -i - 680859 What is the y'th term of 131210, 131221, 131246, 131291, 131362, 131465, 131606, 131791? y**3 + y**2 + y + 131207 What is the t'th term of -42, -51, -26, 33, 126, 253? 17*t**2 - 60*t + 1 What is the b'th term of -2430, -2437, -2430, -2403, -2350, -2265, -2142? b**3 + b**2 - 17*b - 2415 What is the i'th term of -6378543, -6378541, -6378539, -6378537, -6378535? 2*i - 6378545 What is the i'th term of -52, -502, -1738, -4156, -8152? -66*i**3 + 3*i**2 + 3*i + 8 What is the s'th term of -11079, -10739, -10171, -9375, -8351, -7099? 114*s**2 - 2*s - 11191 What is the d'th term of -70278, -140559, -210842, -281127? -d**2 - 70278*d + 1 What is the f'th term of -7094520, -70945
{ "pile_set_name": "DM Mathematics" }
000 What is the lowest common multiple of 160 and 3596760? 14387040 Calculate the common denominator of -179/966 and -11/8157. 2626554 What is the least common multiple of 80 and 1725548? 34510960 Calculate the least common multiple of 84740397 and 169608. 677923176 What is the least common multiple of 318 and 437462? 1312386 Calculate the smallest common multiple of 30 and 1972953. 19729530 What is the least common multiple of 125 and 5952775? 29763875 Calculate the common denominator of 21/407 and 17/12456. 5069592 Find the common denominator of 87/570220618 and 35/13993144. 2280882472 What is the common denominator of -7/189411 and 11/150? 9470550 Find the common denominator of -7/318 and 131/16638. 881814 Calculate the common denominator of -95/105064 and 103/11819700. 23639400 What is the lowest common multiple of 301266 and 28692? 602532 What is the common denominator of 22/31065909 and 8/903? 31065909 Find the common denominator of 73/27 and -50/2070969. 18638721 What is the least common multiple of 836 and 16254652? 178801172 What is the common denominator of -41/3368712 and 14/3? 3368712 Calculate the least common multiple of 828692 and 4. 828692 Calculate the common denominator of 53/20088 and -127/3490848. 31417632 What is the least common multiple of 186 and 6526802? 19580406 Find the common denominator of 49/186264 and -19/1144. 2048904 Find the common denominator of -137/3642390 and -163/89845620. 269536860 Calculate the least common multiple of 10 and 24903154. 124515770 Find the common denominator of -46/208268255 and 27/260. 833073020 What is the common denominator of -11/500414 and -51/13260971? 26521942 What is the lowest common multiple of 258470 and 590? 15249730 What is the lowest common multiple of 12012 and 44940? 6426420 Calculate the lowest common multiple of 8377376 and 281120. 41886880 What is the common denominator of 77/3522546 and 56/1761273? 3522546 Find the common denominator of -49/5032 and -9/5451220. 403390280 Calculate the common denominator of -50/347949 and -1/297. 3827439 What is the smallest common multiple of 16945 and 45182148? 225910740 What is the least common multiple of 19768650 and 1054328? 79074600 Calculate the lowest common multiple of 2286 and 19756. 22581108 Calculate the least common multiple of 103356237 and 9. 310068711 What is the common denominator of 5/81 and -161/15320160? 137881440 What is the least common multiple of 4659940 and 50? 23299700 Calculate the smallest common multiple of 68 and 47497. 3229796 What is the smallest common multiple of 241937 and 399722? 9193606 What is the least common multiple of 134 and 169316? 11344172 Calculate the common denominator of 34/23901 and -74/215109. 215109 What is the common denominator of 10/1730261 and 81/250? 432565250 What is the common denominator of -91/115707336 and 16/754017? 1272780696 Calculate the common denominator of 59/289420 and -17/99800. 2894200 Calculate the smallest common multiple of 269328561 and 4164. 1077314244 Calculate the smallest common multiple of 7887598 and 39437990. 39437990 Calculate the common denominator of -15/61268 and 75/25228. 428876 Calculate the lowest common multiple of 3324 and 144684. 40077468 Find the common denominator of -97/29687427 and -71/10795428. 118749708 Find the common denominator of 95/68214186 and 91/23022. 68214186 What is the lowest common multiple of 59856 and 46096? 4010352 What is the common denominator of -133/740826 and 67/986? 21483954 What is the lowest common multiple of 3942 and 2078310? 18704790 What is the common denominator of -109/11914 and -113/56? 47656 What is the lowest common multiple of 3562412 and 35532? 96185124 What is the common denominator of -43/2457 and -50/343218603? 3088967427 What is the lowest common multiple of 23944 and 231848? 9505768 Calculate the common denominator of -76/14063967 and -127/15626630. 140639670 Calculate the least common multiple of 21791745 and 3. 21791745 Calculate the common denominator of 197/3780 and 27/761045. 575350020 Find the common denominator of 67/18568 and 31/179787192. 1977659112 What is the common denominator of -127/414048 and -37/284? 29397408 Find the common denominator of 109/12586950 and 181/112050. 37760850 What is the common denominator of -131/3290814 and -131/5202? 951045246 Calculate the common denominator of -23/7789287 and -149/1416234. 15578574 What is the common denominator of -59/1224 and 71/762840? 12968280 Calculate the smallest common multiple of 26880 and 16339680. 130717440 What is the common denominator of 107/19459380 and 1/2326665? 214053180 Calculate the common denominator of 1/562239 and 59/3498376. 31485384 What is the common denominator of -74/38133 and 89/2991322? 26921898 Calculate the common denominator of -28/75 and 2/5328225. 5328225 Calculate the least common multiple of 83260210 and 649. 83260210 Find the common denominator of -37/481026 and 117/826. 28380534 What is the common denominator of -43/141102 and -77/352755? 705510 What is the lowest common multiple of 1727496 and 15? 8637480 Calculate the lowest common multiple of 1455050 and 960333. 48016650 Find the common denominator of -143/1385694 and 75/1532. 2771388 Calculate the common denominator of -68/19719 and 57/2245. 44269155 Calculate the smallest common multiple of 47552 and 212498. 6799936 Find the common denominator of -59/317784 and 77/1236. 32731752 What is the lowest common multiple of 210887962 and 168065? 1054439810 What is the least common multiple of 79542 and 1964? 159084 Calculate the lowest common multiple of 26 and 23407. 608582 What is the least common multiple of 12 and 34787996? 104363988 Find the common denominator of 107/1361954 and 71/14. 9533678 Calculate the smallest common multiple of 3047682 and 3. 3047682 Calculate the common denominator of -121/231280 and -29/2090. 48337520 Calculate the least common multiple of 8778 and 1257762. 8804334 Calculate the common denominator of 161/55704 and -137/6732. 2840904 Calculate the common denominator of -101/1496 and -7/42636. 85272 Find the common denominator of -29/6234 and -6/9811277. 58867662 Find the common denominator of 17/48889053 and -37/1957. 928892007 What is the least common multiple of 21753648 and 1553832? 21753648 What is the common denominator of -157/1836150 and 79/18361500? 18361500 Calculate the common denominator of -79/15152 and -35/8128. 7697216 Calculate the common denominator of 35/1314168 and -23/25296. 81478416 What is the common denominator of 89/4094328 and 13/554? 1134128856 Calculate the least common multiple of 137721990 and 234563. 964053930 What is the lowest common multiple of 1835816 and 464? 3671632 What is the common denominator of 101/15880 and -131/23820? 47640 What is the least common multiple of 6218840 and 4664130? 18656520 Find the common denominator of -37/2742760 and -107/50. 13713800 Find the common denominator of -119/30 and 19/15684672. 78423360 Calculate the common denominator of 99/12194 and 37/8838908. 61872356 Calculate the common denominator of -50/77 and 25/231418. 1619926 Find the common denominator of 36/2821 and -41/4205894. 54676622 What is the lowest common multiple of 40149 and 321192? 321192 What is the lowest common multiple of 2726724 and 2307228? 29993964 Calculate the least common multiple of 3881556 and 554508. 3881556 Calculate the common denominator of 8/18003 and -62/975339. 16580763 Calculate the lowest common multiple of 20 and 93555864. 467779320 Calculate the lowest common multiple of 2484 and 795555. 73191060 What is the least common multiple of 1859688 and 46043? 76247208 What is the common denominator of 145/1686126 and 53/24? 6744504 Calculate the common denominator of 1/6595524 and 62/255. 32977620 Calculate the lowest common multiple of 2201103 and 489134. 4402206 Calculate the least common multiple of 1846 and 166353. 4325178 What is the lowest common multiple of 969 and 3323024? 9969072 What is the lowest common multiple of 306364 and 153182? 306364 Calculate the least common multiple of 452356 and 1560. 176418840 Find the common denominator of -91/10 and -62/705495. 1410990 Calculate the least common multiple of 50138 and 278. 6969182 Calculate the common denominator of -1/129831
{ "pile_set_name": "DM Mathematics" }
Factor w(r). (r - 1)**2*(r + 4)**2 Let k(v) be the second derivative of -v**5/240 + v**4/24 - v**3/6 - v**2 + 2*v. Let t(b) be the first derivative of k(b). Let t(c) = 0. Calculate c. 2 Factor 1/3*v**3 - 2/3*v**2 + 1/3*v + 0. v*(v - 1)**2/3 Let c(m) be the third derivative of -1/6*m**3 + m**2 + 0 + 1/1080*m**6 + 1/360*m**5 - 1/36*m**4 + 0*m. Let i(z) be the first derivative of c(z). Factor i(s). (s - 1)*(s + 2)/3 Let r be (6 - 159/27)/((-3)/(-12)). Factor 0*y**2 - 2/9*y**3 - r + 2/3*y. -2*(y - 1)**2*(y + 2)/9 Let h(i) be the first derivative of 2/15*i**5 + 0*i - 4 - 2/9*i**3 + 1/3*i**2 - 1/6*i**4. Let h(x) = 0. What is x? -1, 0, 1 Let z(s) be the third derivative of -1/525*s**7 + 0*s + 1/5*s**4 - 13/150*s**5 - 4/15*s**3 + 1/50*s**6 + 0 - s**2. Suppose z(p) = 0. Calculate p. 1, 2 Let 4/3*c + 2/3*c**2 + 2/3 = 0. Calculate c. -1 Let s(o) = 4*o**4 - 8*o**3 + 4*o**2 - 8. Let p(r) = r**4 - r**3 - r**2 + r - 1. Let j(w) = -8*p(w) + s(w). What is l in j(l) = 0? -2, 0, 1 Let z(l) be the first derivative of l**4/24 - 5*l**3/18 + 7*l**2/12 - l/2 - 33. Suppose z(p) = 0. Calculate p. 1, 3 Let m(d) = -9*d**4 - 18*d**3 - 21*d**2. Let t(f) = 9*f**4 + 19*f**3 + 21*f**2 + f. Let w(g) = 5*m(g) + 6*t(g). Factor w(p). 3*p*(p + 1)**2*(3*p + 2) Let g(h) = 2*h**2 - h + 1. Let d be g(-2). Solve -8*m**4 + d*m**4 - 6*m**4 = 0 for m. 0 Factor -3/4 + 1/2*k + 1/4*k**2. (k - 1)*(k + 3)/4 Let p be 3 + ((-126)/(-10) - -4). Solve 8/5*n + 18*n**3 - p*n**5 + 0 - 56/5*n**4 + 56/5*n**2 = 0 for n. -1, -2/7, 0, 1 Let s(t) be the second derivative of t**4/24 + t**3/6 + t**2/4 - 4*t. Determine h, given that s(h) = 0. -1 Let n(i) be the second derivative of -i**6/165 + i**4/66 - 10*i. Factor n(l). -2*l**2*(l - 1)*(l + 1)/11 Solve -84/5*n + 156*n**4 - 24/5 + 45*n**5 + 126/5*n**2 + 741/5*n**3 = 0 for n. -2, -1, -2/5, 1/3 Factor 6*n + 4*n + 127*n**2 - 122*n**2. 5*n*(n + 2) Let n(l) be the second derivative of l**9/60480 - l**8/13440 + l**7/10080 + l**4/12 + 3*l. Let f(h) be the third derivative of n(h). Let f(m) = 0. What is m? 0, 1 Let i(r) = r - 4. Let z be i(6). Let v = z - 0. Suppose 6*o**3 - 2*o + v*o**2 - 2*o**4 - 5*o**3 + o**3 = 0. Calculate o. -1, 0, 1 Let t(v) = -22*v**2 + 1. Let g be t(-1). Let m be g/(-12) + (-1)/(-4). Find i such that -1/3*i + 1/3*i**m + 0 = 0. 0, 1 Factor 2/7*i**3 + 0 - 8/7*i + 0*i**2. 2*i*(i - 2)*(i + 2)/7 Let z = -560 + 560. Factor z + 4/7*a + 2/7*a**2 - 2/7*a**3. -2*a*(a - 2)*(a + 1)/7 Suppose -3*c - 6 = 3*m, -5*c = 3*m - 7*m + 28. Factor 1/3 + 1/3*i**m + 2/3*i. (i + 1)**2/3 Let n(p) be the first derivative of 5/4*p**4 - 3 - 2/3*p**3 + 0*p + 0*p**2. Solve n(y) = 0 for y. 0, 2/5 Let q(n) be the first derivative of n**5/5 + 3*n**4/4 - 2*n**3/3 - 6*n**2 - 8*n + 10. Factor q(m). (m - 2)*(m + 1)*(m + 2)**2 Let k(w) be the third derivative of 0 + 0*w**3 + 1/30*w**5 - 1/12*w**4 + 0*w - 3*w**2. Factor k(l). 2*l*(l - 1) Let h = 5 + -2. What is l in 11*l**5 + 3*l**2 - 16*l**5 + 8*l**5 - 3*l**3 - h*l**4 = 0? -1, 0, 1 Suppose -4*v = v - 30. Let k(b) be the third derivative of -1/300*b**5 - b**2 + 0*b + 0*b**4 + 0 + 1/1050*b**7 + 1/600*b**v - 1/1680*b**8 + 0*b**3. Factor k(m). -m**2*(m - 1)**2*(m + 1)/5 Let o = 66 + -35. Let c = -17 + 20. Solve -o*w**4 - 14*w**2 + 21/2*w**5 + 0 + 65/2*w**c + 2*w = 0 for w. 0, 2/7, 2/3, 1 Solve -2/5 + 2/5*t**2 - 1/5*t**3 + 1/5*t = 0 for t. -1, 1, 2 Let b(z) be the second derivative of z**5/70 - z**4/6 - 17*z**3/21 - 9*z**2/7 + 10*z. Solve b(n) = 0 for n. -1, 9 Let f be 2 + 1 - 12/5. Factor 0*l**4 - 4/5*l**3 + f*l + 2/5*l**2 - 2/5 + 1/5*l**5. (l - 1)**3*(l + 1)*(l + 2)/5 Let f(o) be the third derivative of -o**5/60 + 2*o**3/3 + 3*o**2. Factor f(m). -(m - 2)*(m + 2) Determine p so that 3*p + 51 + 3*p**3 - 51 - 6*p**2 = 0. 0, 1 Let j(d) be the second derivative of d**6/165 - d**5/55 - d**4/22 - 44*d. Let j(p) = 0. What is p? -1, 0, 3 Let i(b) be the first derivative of 0*b + 1/12*b**3 + 8 + 0*b**2 + 1/16*b**4. Factor i(a). a**2*(a + 1)/4 Suppose 2*t + 0*i = -5*i + 24, -14 = -5*t - i. Let 9*v**3 - 3*v**4 + 0*v**2 - 3*v**3 + 0*v**t = 0. Calculate v. 0, 2 Factor 2*u**2 + 0 - 3 - 2*u**3 + 2*u + 0*u**3 + 1. -2*(u - 1)**2*(u + 1) Let z be (-15)/4 + 1/(-4). Let g = 7 + z. Let 0*s**g + 1/3*s**4 - 2/3*s**2 + 1/3 + 0*s = 0. Calculate s. -1, 1 Let q(p) = -4*p**5 + 12*p**4 - 8*p**3 - 8*p - 8. Let k(v) = 3*v**5 - 8*v**4 + 5*v**3 + 5*v + 5. Let u(o) = 8*k(o) + 5*q(o). Solve u(l) = 0. 0, 1 Let z(l) be the third derivative of -l**7/3360 - l**6/1440 + l**3/3 - 3*l**2. Let r(p) be the first derivative of z(p). Factor r(g). -g**2*(g + 1)/4 Let a(c) = -c. Let u be a(6). Let h be (u - -5) + 3 + 1. Let 0*f**h - 2*f**2 + 4*f - 2*f**3 + f**4 + f**4 + 2*f**5 - 4*f**3 = 0. Calculate f. -2, -1, 0, 1 Let d(l) = -2*l**2 + 6*l + 4. Let a(p) = p - 1. Let f(r) = 2*a(r) - d(r). Factor f(g). 2*(g - 3)*(g + 1) Suppose 0 = 2*w - 4*w + 6. Suppose 3 + 0*y**2 + y - 2*y**2 - 3 + y**w = 0. Calculate y. 0, 1 Let a(c) be the third derivative of 2*c**2 + 0 + 1/12*c**3 + 0*c + 0*c**4 - 1/120*c**5. Let a(x) = 0. Calculate x. -1, 1 Factor -102*c**2 + 53*c**2 + 1 - 6 + 34*c**2 - 5*c**3 - 15*c. -5*(c + 1)**3 Let s(m) be the second derivative of -m**5/20 - m**4/3 - 2*m**3/3 - 4*m. Factor s(v). -v*(v + 2)**2 Let j(k) = -k**2 - 5*k + 6. Let m be j(-6). Suppose 2*a + z - 3*z = 0, 4*z = -4*a. Factor a*w**2 + 2/9*w**4 - 2/9*w**3 + 0*w + m. 2*w**3*(w - 1)/9 Let -4*p**4 + 0*p - 1/2*p**2 - 7/2*p**3 + 8*p**5 + 0 = 0. What is p? -1/4, 0, 1 Suppose -4*v = -4*h - 28, 3*h - 11 = -v + 5*h. Factor -1/2 + 2*k - v*k**2 + 2*k**3 - 1/2*k**4. -(k - 1)**4/2 Suppose -3*a + 5*f = -2*a - 20, 32 = 4*a - 4*f. Solve -4*t - t**2 + t**4 + 5*t**3 - 2*t**4 + 8 - 10*t**2 + a*t**2 = 0. -1, 2 Suppose -3/4 + 0*r + 3/4*r**2 = 0. What is r? -1, 1 Let s(b) be the second derivative of 3*b**5/80 + b**4/12 + b**3/24 + 7*b. Factor s(m). m*(m + 1)*(3*m + 1)/4 Let z(v) = -2*v**3 - 11*v**2 + 7*v + 8. Let m be z(-6). Suppose 2/5*u - 4/5*u**3 + 2/5*u**m + 0 = 0. Calculate u. -1/2, 0, 1 Let k(l) be the second derivative of -1/147*l**7 + 0*l**2 + 0*l**6 + 0*l**4 - 4*l - 1/21*l**3 + 0 + 1/35*l**5. Factor k(v). -2*v*(v - 1)**2*(v + 1)**2/7 Factor 151*b - 65*b**2 + 149*b - 360 + 5*b**3 - 5*b**2. 5*(b - 6)**2*(b - 2) Let c(w) = -4*w**3 + w**3 + w**2 - 4*w**2 + 1 + 5*w**3. Let i be c(2). Factor -2*g**4 + 4*g**3 - g**2 - 2*g**i + g**2. -2*g**3*(g - 1)*(g + 2) Let z(m) be the second derivative of m**4/6 - 3*m. Determine h, given that z(h) = 0. 0 Suppose p + 5*p = -0*p. Solve -1/4*i**3 + 1/4*i**2 + 1/4*i + p - 1/4*i**4 = 0 for i. -1, 0, 1 Suppose 0*j = -2*j - k + 9, -4 = -4*k. Let w(f) be the third derivative of 0*f**3 + f**2 + 0*f + 0 - 1/48*f**j - 1/120*f**5. Factor w(h). -h*(h + 1)/2 Let u(g) = -8*g**4 + 6*g + 6. Let a(w) = -w**4 + w + 1. Let m = 7 + -1. Let x(p) = m*a(p) - u(p). Suppose x(l) = 0. Calculate l. 0 Factor 5/4*l - 1/4 - 5/4*l**4 + 1/4*l**5 - 5/2*l**2 + 5/2*l**3. (l - 1)**5/4 Let -2/3*r**5 - 2*r**4 + 0*r - 2*r**3 + 0 - 2/3*r**2 = 0. What is r? -1, 0 Suppose p = 6*p + 20. Let g = p + 6. Determine h so that h - g*h - h**3 + 2*h**3 = 0. -1, 0, 1 Find q, given that 2/3 - 1/3*q - 1/3*q**2 = 0. -2, 1 Let h be 0 - -2*(0 + (-2)/(-6)). What is q in 0 + 5/3*q**3 + h*q - 7/3*q**2 = 0? 0, 2/5, 1 Let r(n) = n**4 + n**2 - n + 1. Let z(t) = 15*t**3 - 20*t**2 - 30*t + 25. Let s(l) = -5*r(l) - z(l). Factor s(m). -5*(m - 1)**2*(m + 2)*(m + 3) Let m = -16 + 29. Factor 2*k - m*k**2 + 4 - 7*k**2 + 2*k**4 - 2*k**3 + 14*k**2. 2*(k - 2)*(k - 1)*(k + 1)**2 Let j(f) = f**2 + 6*f + 2. Let g be j(-6). Suppose 14 = y - 2*n, y + g*n = -3*n - 21. Factor -d**y + 1 + 2 + d**2 - 3. -d**2*(d - 1)*(d + 1) Let y(a) = -a**4 + 5*a**3 - 6*a**2 - 4*a + 11. Let w(x) = -2*x**4 + 10*x**3 - 12*x**2 - 8*x + 21. Let r(q) = -3*w(q) + 5*y(q). Solve r(n) = 0. -1, 2 Let b(z) = -3*z - 73. Let q be b(-25). Factor -1/2*a**q + 1/2*a + 1. -(a - 2)*(a + 1)/2 Let y(g) = -g**3 + 5*g**2 + g + 1. Let z be y(5). Determine h so that 0 + 25*h**3 - 15*h - 12*h**3 + z + 12*h**2 - 16*h**3 = 0. 1, 2 Let g(a) be the third derivative of a**7/840 - a**6/120 + a**5/40 - a**4/24 + a**3/24 - a**2. Factor g(u). (u - 1)**4/4 Let q(g) be the third derivative of g**6/540 - g**5/90 + g**4/54 + 6*g**2. Determine c, given that q(c) = 0. 0, 1, 2 Let s = -6/13 + 37/52. Find q, given that 0*q**3 + 0*q - 1/4
{ "pile_set_name": "DM Mathematics" }
et q be w(-7). Let t = q + -11. Sort t, 3, 4 in increasing order. t, 3, 4 Suppose -2*z + 24 = 4*l - 0*z, -2*l + z = -4. Suppose 0*k - 12 = l*k. Let p = -456 + 459. Sort p, k, 0 in descending order. p, 0, k Suppose 0 = 3*g + 4*v + 7 + 3, 4*g - 3*v = -55. Let d be 666/g + (-3 - -2). Let i = d + 68. Sort 1/4, -4, i in decreasing order. i, 1/4, -4 Let z be 1*(0 + -2) - -1. Suppose 4*d = 16, -3*d = 2*y - 1 - 1. Sort y, z, -3 in decreasing order. z, -3, y Let t be (6/(-56))/((-1)/(-4)). Let c = 8.1 - 3.1. Sort t, c, -1/2 in descending order. c, t, -1/2 Let p = -105 - -523/5. Let t = -11 - -16. Put 1/8, t, p in decreasing order. t, 1/8, p Suppose 28 = -2*w + 9*w. Put -3, -4, 1, w in decreasing order. w, 1, -3, -4 Let t(p) be the first derivative of -p**3/3 - 5*p**2/2 - 4*p - 3. Let n be t(-5). Let s(z) = -z**2 - 3*z + 5. Let f be s(n). Sort 2, f, -3 in increasing order. -3, f, 2 Let p = 9 + -7.8. Let q = p + -1. Sort q, 1, 2/17. 2/17, q, 1 Suppose 9 = -2*p + 5. Sort -7, p, -3 in decreasing order. p, -3, -7 Let t = 3 - 2.2. Let p = t - 1. Let c(s) = s**2 - 5*s. Let h be c(5). Put p, h, 5 in descending order. 5, h, p Let c(t) = t**3 + 15*t**2 + 14*t. Let s be c(-14). Let h = 6 - 5. Sort s, h, -8 in ascending order. -8, s, h Let o(s) = s + 7. Let a be o(-6). Suppose 0 = -5*t + 7 - 17. Let h be t/(-6) - 10/3. Put h, 2, a in decreasing order. 2, a, h Suppose 2*r + 7 = 3*z, 3*z + 6 = 4*r + z. Put r, 3, 5 in decreasing order. 5, r, 3 Let m be -1*(3 + -3 + 0). Sort 1/2, m, -5 in ascending order. -5, m, 1/2 Let w = 1387/49470 + 2/1455. Let a = 31/102 + w. Sort a, 0.03, 3. 0.03, a, 3 Let g(q) = -2*q**2 - 13*q - 4. Let r be g(-6). Sort r, 4, 5 in decreasing order. 5, 4, r Let i be (-9)/6*8/6. Sort -1, i, 2 in decreasing order. 2, -1, i Let v(h) = h**3 - 3*h**2 - 5*h + 2. Let g be v(4). Let w be 21/(-342) + (-3)/(-18). Put -0.3, w, g in descending order. w, -0.3, g Let g = 46 - 44. Sort g, 0, -2, -1 in increasing order. -2, -1, 0, g Let k = -0.01 - 0.22. Let m = -0.1 - k. Sort m, -3, -1. -3, -1, m Suppose -3*u - u = -3*j - 69, 0 = -u + j + 17. Suppose 2*s = -6, 5*h + u = -4*s - 14. Sort -3, h, -2 in descending order. -2, -3, h Suppose p - 5*p + 21 = -s, -s = -3. Suppose -1 + p = q. Suppose -a - 3*c - 13 = 0, 4*c + q + 16 = -5*a. Sort 1, a, 0 in descending order. 1, 0, a Suppose -5*a = -4*a. Suppose 0 = 4*s - 19 + 15. Put 4, s, a in increasing order. a, s, 4 Suppose 0 = 5*d - d + 112. Let u = -8 - d. Suppose u = -5*m - 5. Sort m, -2, -3. m, -3, -2 Let a = 14 + -16. Sort -1, -4, a. -4, a, -1 Suppose -4*b - 3*c + 7*c - 24 = 0, 5*c = 5. Sort b, -16, -2 in ascending order. -16, b, -2 Let w = 2 + -4. Suppose 4*l - 3*h = 20, 4*l - h = 5 + 15. Put w, l, 1 in descending order. l, 1, w Let i be (-21)/(-27) - 2/(-9). Suppose 0 = z + 2*z + 15, 3*z + 13 = x. Put i, 2, x in decreasing order. 2, i, x Let f(p) = p**3 + 9*p**2 - p - 3. Let i be f(-9). Suppose 0 = 3*g - i - 3. Let d = g + 0. Put -1, d, 1 in decreasing order. d, 1, -1 Let f be (-2 + 4)*(11/2 - 5). Let t = -0.3 + 0.8. Put -1, f, t in descending order. f, t, -1 Suppose 0*f - m = -5*f + 8, 0 = -2*m - 6. Suppose 0*q - 5*q = l - 29, 5*q - 17 = 2*l. Put -4, q, f in increasing order. -4, f, q Suppose -2*o = 4*b + 22, -5*o - 4*b = -b + 41. Suppose -12 = 3*i + 24. Let v = o - i. Sort v, 1, 3 in descending order. v, 3, 1 Let l = -4279/13 - -329. Sort 29, l, 1 in descending order. 29, 1, l Let y = 35 - 40. Sort -1/4, 2, y in ascending order. y, -1/4, 2 Let i be 55/(-30) - (-3)/(-18). Sort 5, -4, i in increasing order. -4, i, 5 Let k = -4 - -14. Sort -5, 3, k in decreasing order. k, 3, -5 Suppose 3*d + 16 - 4 = 0. Sort -3, d, 3, 5 in decreasing order. 5, 3, -3, d Suppose 2*g = -o, -5*g + 3*o - 9 = -2*g. Sort g, 5, -18. -18, g, 5 Suppose 0*v + v = -1. Let p be (v/3)/((-14)/6). Let i = -148/7 + 145/7. Put p, i, 2/21 in descending order. p, 2/21, i Let s(f) = -f + 5. Let v be s(6). Suppose -5*r = 4*b + 13, -3*b + 5*r + 0 - 1 = 0. Let p = b - v. Put -2, p, 4 in descending order. 4, p, -2 Let m be 15/(-18) + 3/(-18). Sort -4, 1, m, -3. -4, -3, m, 1 Let k = -833/6 - -139. Sort -5, k, 2/31 in decreasing order. k, 2/31, -5 Let s be 2/1 - (-2 - -3). Put s, 5, 4 in descending order. 5, 4, s Let p be 5 - (-1 - 2 - -4). Suppose -2*d - 10 = -7*d. Sort 0.2, d, p. 0.2, d, p Let i = -1/43 - -89/129. Suppose 3*c = 2*c + 1. Let q = -3/4 + c. Put q, i, 1/7 in descending order. i, q, 1/7 Let y be 9/2 + 3/(-2). Suppose -y*r - 3 = -0*r. Sort r, 2, 1 in decreasing order. 2, 1, r Let k be (-35)/(-15) - (-1)/(-3). Let z = -3 + k. Let y be z/(-1*(-2)/6). Put 0, y, 4 in descending order. 4, 0, y Let n be (-5)/(-20) - (-38)/8. Suppose 0 = y - n, 5*c + 2*y + 25 = 6*y. Let k(w) = -w**2 - 3*w + 4. Let l be k(-3). Sort c, l, 2 in descending order. l, 2, c Let q = 6 - 2. Suppose l = q*l - 3. Sort l, -4, 5 in decreasing order. 5, l, -4 Let b = 2 - -2. Put b, -8, -5 in increasing order. -8, -5, b Let w = 12 + -12.1. Let q be 1/(-2)*0/(-6). Sort w, q, 2/11 in increasing order. w, q, 2/11 Let w = 0.439 - 8.379. Let n = 8 + w. Let f = n + -2.06. Put -5, 2/5, f in descending order. 2/5, f, -5 Let v = -22 + 18. Sort 4, 7, v, -2 in decreasing order. 7, 4, -2, v Let o be -2*((-5)/(-1) + -3). Let h = -5 - -3. Sort -5, h, o in ascending order. -5, o, h Suppose 10 + 14 = 8*b. Put -7, -4, b in decreasing order. b, -4, -7 Let x = 18 - 30. Let p = x + 23. Put 0, p, -5 in descending order. p, 0, -5 Let q = 7 - 3. Suppose 0 = -4*o - 4*j + 7 + 9, -2*o - j + 5 = 0. Put -3, q, o in descending order. q, o, -3 Let t = 1.1 - 1.5. Sort -1, 0.1, t. -1, t, 0.1 Let f be (7/5 + -1)/1. Sort -4, f, -0.01. -4, -0.01, f Let i = 91 + -118. Sort i, 5, 4 in descending order. 5, 4, i Let d(w) = -7*w - 31. Let k be d(-4). Suppose 15 = -4*v - 5*n - 0*n, -3*v = n + 3. Sort v, -1, k. k, -1, v Let o(x) = -x**3 + 4*x**2 - 4*x + 10. Let v be o(4). Put 3, v, -1 in descending order. 3, -1, v Let k be (1/5*0)/1. Sort -2, k, -5. -5, -2, k Suppose 2*q - 1 - 5 = 0. Suppose -3*f + 20 = -5*x + 5, -5*x + 5*f - 25 = 0. Let y = -1 - x. Sort q, 2, y in increasing order. y, 2, q Let p(q) = -q**3 - 9*q**2 - 2*q - 24. Let g be p(-9). Put -2, g, 2 in decreasing order. 2, -2, g Suppose 3*x - 10 = 2*u, 3*x - 6 = u + x. Put 7, u, -4, -1 in increasing order. -4, u, -1, 7 Suppose -85 = -0*y - 5*y. Suppose 3*l - 4*q = -1, -5*q + 3*q = -5*l + y. Sort 4, l, 2. 2, 4, l Let o(j) = -j**3 - 7*j**2 - 5*j + 3. Let x be o(-6). Suppose -3*d = y - d, 0 = -3*y + 5*d. Put y, -2, x in decreasing order. y, -2, x Let z = 71 - 71.5. Suppose 0*w - 4*w - 8 = 0. Sort z, w, -5. -5, w, z Let i = -101/3 + 33. Sort i, 5, -3, 2/31 in increasing order. -3, i, 2/31, 5 Let o = 68 + -67.8. Put 0.4, -0.3, 3/5, o in descending order. 3/5, 0.4, o, -0.3 Suppose 3*o = 4*y - 5 - 11, 0 = 4*o - y + 17. Let z = o - -5. Sort z, -6, 5 in decreasing order. 5, z, -6 Let t = -2 + 2.1. Let w = -105 - -101. Sort 4, w, t in decreasing order. 4, t, w Let j be 9/(-12) - (-2)/(-8). Let d = 3 + j. Put d, -5, 3 in descending order. 3, d, -5 Let f(q) = q**3 + 12*q**2 + 12*q + 8. Let o be f(-11). Sort 0, -4, 1, o in increasing order. -4, o, 0, 1 Suppose -5*b + 3*t - 5 = -2*t, b + 1 = 3*t. Let h = 6 - 1. Let w = 221 + -221.2. Sort h, b, w in decreasing order. h, w, b Let c be (55/75 + (-4)/10)/(-2). Sort c, -5, -1/2, 0.1 in descending order. 0.1, c, -1/2, -5 Let o = 12 + -16. Put -2, -2/3, o in increasing order. o, -2, -2/3 Suppose u + 2*f = -0*f - 2, 5*f + 10 = -5*u. Suppose 0 = 4*g + 5*a + 3 - 72, 65 = 5*g + 2*a. Let j = 6 - g. Sort j, u, 1 in decreasing order. 1, u, j Let n = -7 - -4. Let c(k) = k + 10. Let f be c(-14). Put n, f, -2 in ascending order. f, n, -2 Let l be 0 + ((-310)/(-392))/(-1). Let o = 600/2107 - 14/43. Let m = o - l. Sort 0.5, m, 1. 0.5, m, 1 Let k be (-1)/((-3)/(7 + 2)). Let h = -6 + 4. Sort -4, k, h in decreasing order. k, h, -4 Suppose -2*r - 3*r + 25 = 0. Put 2, -4, r in increasing order. -4, 2, r Let z(d) = d**3 - 24*d**2 - 23*d - 37. Let f be z(25). Sort f, -5, 4, -1 in increasing order. -5, -1, 4, f Let a(q) = -2*q - 5. Let j(u) = u + 2. Let i(b) = -4*a(b) - 9*j(b). Let p be i(-2). Let z be (-5)/((-1 - 0) + 2). Sort p, z, 1 in descending order. p, 1, z Suppose -23 = 5*m + o, m - 3*o + 15 = 2*o. Let h = 4 + m. Sort 0, h, -3. -3, h, 0 Let x =
{ "pile_set_name": "DM Mathematics" }
8 = 0. List the prime factors of 9/x + 7 + 0. 2, 5 Let p = 3 - 1. Suppose 0 = p*r + 2*r - 84. Suppose 5*z + n - r = 0, 2*z + 2 = 3*n + 7. List the prime factors of z. 2 Let y = -32 + 116. List the prime factors of y. 2, 3, 7 Let a(i) = -i + 1. Let y be a(-2). What are the prime factors of 40 + (-3)/y + 0? 3, 13 Let b(i) = -i + 14. Let p be b(12). Suppose p*x - 61 + 7 = 0. List the prime factors of x. 3 Let w(h) = -h + 3. Let i be w(0). Suppose -2*l = -3*q - 6*l + 10, -l + i = q. List the prime factors of 16/q*(-25)/(-20). 2, 5 List the prime factors of ((-6842)/(-4))/11 + (-2)/4. 5, 31 Suppose -17 = 2*t + 5*d, -t + 5*t = 5*d - 109. What are the prime factors of -2*(t/2 - 0)? 3, 7 Let p(a) = 3*a**2. Let t be (-2)/3*(-9)/6. Let o be p(t). List the prime factors of 17/2 - o/6. 2 Let v = 0 + -1. List the prime factors of -2 + v - -6 - -7. 2, 5 Suppose -5*y - 4*w + 116 = 0, w + 3*w = -4*y + 96. List the prime factors of y. 2, 5 Let s(c) = 2*c**2 - 4*c + 2. Let m be s(5). Suppose 5*g + 26 = 2*z, -3*z = 2*g - 45 - m. List the prime factors of z. 23 Let a(c) = c**3 + 13*c**2 - 20*c - 17. List the prime factors of a(-13). 3 Let n(y) = -9*y**3 - y**2 + 1. Let z be n(-1). What are the prime factors of -1 + -1 + (z - -1)? 2 Let t(u) = -7*u + 7. What are the prime factors of t(-6)? 7 Suppose 3*g - 181 = -2*n, -5*n + 186 = 3*g - 2*n. Let f = -18 - -27. Suppose 0 = 4*z + f - g. What are the prime factors of z? 2, 3 Let a = 57 - 32. List the prime factors of a. 5 Let c = 18 + -15. List the prime factors of 32 + 3*2/c. 2, 17 Suppose 2*r + 3 = -5*m - 3, 3*r + 9 = -5*m. Suppose 50 = -m*l + 5*l. Suppose 5*n + 0*n - l = 0. What are the prime factors of n? 2 Let p(h) = 2*h**2 + 16*h + 15. What are the prime factors of p(-17)? 3, 107 Suppose 0 = -5*l + 86 + 1749. List the prime factors of l. 367 Suppose -4*s + 3*s + 3 = 0. Suppose -4 = -2*o, -s*a - 2*o + 45 = o. What are the prime factors of a? 13 Suppose 0 = 25*p - 21*p - 28. Let k(y) = y**2 - 1. Let u(c) = -c**3 + 11*c**2 + 7*c - 11. Let s(m) = 5*k(m) - u(m). List the prime factors of s(p). 2, 3 Suppose -42 - 19 = 5*h - 2*g, 0 = -2*h - 5*g - 36. Let a = 9 + h. What are the prime factors of 3*(-1)/6*a? 2 Suppose -4*q + 10 = -q + p, -3*q = -4*p + 10. Suppose 2*z = -q*z - 5*y + 173, 3*y = -2*z + 89. What are the prime factors of z? 37 Let m = 36 + -72. Let i be 0/(-3) + m + 2. Let t = i + 47. List the prime factors of t. 13 Suppose -7*h - 36 = -3*h. Let m = -45 - -32. Let r = h - m. List the prime factors of r. 2 Suppose 2*h - 3*h - k = -14, -4*h + 3*k = -77. Let z = -11 + h. What are the prime factors of z? 2, 3 Let f(y) = y**2 - 5*y + 4. Let w be f(12). Suppose 4*g - w = 16. List the prime factors of g. 2, 13 Let d = 66 - 47. List the prime factors of d. 19 Let g(k) be the first derivative of k**4/4 + k**2 + k + 7. What are the prime factors of g(2)? 13 Let v(r) = -14*r + 42. What are the prime factors of v(-14)? 2, 7, 17 Suppose 0*u = -3*g - 3*u - 3, 5*u = 4*g - 23. Suppose -4*h - 4*s = 24, g*h + 27 = s - 6*s. What are the prime factors of (2/(-2))/h + 8? 3 Let o = -6 + 30. Suppose -d = -4*d + o. What are the prime factors of d? 2 Suppose 5*s - 5*k - 235 = 0, 0*k - 4*k = -2*s + 88. Suppose 3*t - t = s. What are the prime factors of t? 5 Let t = 159 + -113. List the prime factors of t. 2, 23 Let y(b) = -b**2 - 11*b + 6. What are the prime factors of y(-5)? 2, 3 Let f(m) = 2*m - 6. Let s be f(5). Suppose -s*t + 3*t + 1 = 0. Suppose 5*l - 9 = t. What are the prime factors of l? 2 Suppose 0 = -6*x + 33 - 3. What are the prime factors of x? 5 Let a(u) = u**3 + 7*u**2 - 10*u - 5. What are the prime factors of a(-7)? 5, 13 Let g = -281 - -476. List the prime factors of g. 3, 5, 13 Suppose 5*i + 245 = -70. Let m = -117 - i. What are the prime factors of (m/(-12))/((-6)/(-8))? 2, 3 Let p(b) = b + 4. Let a be p(0). Suppose o + 0*o = a. What are the prime factors of o? 2 Let q = -247 + 362. Suppose 0 = 6*o - o - q. What are the prime factors of o? 23 What are the prime factors of 20/(-1 + 2) - -1? 3, 7 Let n = -36 + 14. Let x = -11 - n. List the prime factors of x. 11 Let w(b) = b**3 + 5*b**2 - 7*b + 8. Suppose 5*t = -34 + 4. What are the prime factors of w(t)? 2, 7 Suppose -3*w + 0*w + 210 = 0. List the prime factors of w. 2, 5, 7 Suppose -2*j = x - 357, -j = 5*x - x - 1463. List the prime factors of x. 367 Suppose 5*h + 3 = 8. List the prime factors of h/(-2 - 61/(-30)). 2, 3, 5 Let d(m) = m**2 - 3*m + 7. Let x(v) = v**2 - 3*v + 6. Let w(p) = 3*d(p) - 4*x(p). Let i be w(2). Let k = i - -11. List the prime factors of k. 2, 5 Let l be (-4)/(-18) - (-48)/27. Suppose 8 - 134 = -5*f - 3*a, -l*a = 6. List the prime factors of f. 3 Suppose -17 + 5 = -2*l. List the prime factors of l. 2, 3 Suppose -2*t - 5*f + 20 = 2*t, 2*t + 16 = 4*f. Suppose -2*k + 1 + 1 = t. List the prime factors of 15 - (-1 + 2 + k). 13 Suppose 4 = -2*z, -2*l + 2*z + z = -36. What are the prime factors of l? 3, 5 Let g = -21 + 31. Let z = g + -6. Suppose -8*s + 16 = -z*s. List the prime factors of s. 2 Let m be 29 - (-1 + 2 + -2). Let l = m - 14. List the prime factors of l. 2 Suppose 0 = -x + 2 + 4. Let l be (-64)/6 + (-2)/x. Let w = l - -24. What are the prime factors of w? 13 Suppose 4*u - g - 56 = 0, 2*u + 0*u + g - 34 = 0. List the prime factors of (9/u)/((-3)/(-15)). 3 Let l(s) = s**3 - 6*s**2 + s - 6. Let h be l(6). Suppose -20 = -4*d + 4*z, h = -d + 4*z + 15 - 4. List the prime factors of d. 3 Let q = -4 - -3. Let y = 4 + q. List the prime factors of y. 3 Let h = 7 - 4. Let x = 8 - h. Suppose 0*k + x = k. List the prime factors of k. 5 Let v(n) = -n**3 + 5*n**2 + 8*n - 8. Let w = 10 + -4. Let c be v(w). Suppose 0*s - 20 = -c*s. List the prime factors of s. 5 Let h = -5 - -50. What are the prime factors of h? 3, 5 Let l(t) be the second derivative of -t**5/20 + t**3/6 + 15*t**2/2 - 3*t. List the prime factors of l(0). 3, 5 Let o = -155 - -259. List the prime factors of o. 2, 13 Let r = -4 - -9. Suppose 11 = r*j - 34. What are the prime factors of j? 3 Let l = -6 + 9. Let y(z) = 0 + l*z - 6*z + 2. What are the prime factors of y(-4)? 2, 7 Suppose 8 = -4*w, -29 + 8 = -5*z + 3*w. Let x(s) = s**3 - 4*s**2 + 4. Let n be x(z). Let b(r) = -r + 2. What are the prime factors of b(n)? 7 Let p(r) = r**3 + 8*r**2 + r + 10. Let x be p(-8). Suppose -3*l - 2 = -4*l. Suppose -l*g - 1 = 3*o, x*o - 33 = 4*g - 7. What are the prime factors of o? 3 Let p be 5 - (-3)/(5 + -2). Let w be p - 4 - 1*-1. Let b = 7 - w. What are the prime factors of b? 2 Let l = -11 - -5. Let u = l + 9. Suppose u*c + 4*i - 56 = 0, -3*i + 70 = 3*c + c. What are the prime factors of c? 2 Let x(r) = r**2 - 5*r. Let o be x(5). List the prime factors of o/2 + 39/3. 13 Suppose v = 2*v - 33. What are the prime factors of v? 3, 11 Let r(x) = x**2. Let q be r(-2). Let b = 40 + -7. Suppose -24 = -q*t + l, -5*t + 0*l = -2*l - b. List the prime factors of t. 5 Let z = -44 - -269. Suppose -3*r = 2*r - z. What are the prime factors of r? 3, 5 Let f = 44 + 22. What are the prime factors of f? 2, 3, 11 Let h be (61/(-3))/((-6)/18). Let d = h - 26. Let f = d + -17. What are the prime factors of f? 2, 3 Suppose -j = -5*j - u + 364, -2*u = 0. List the prime factors of j. 7, 13 Let p = 3 - 1. Suppose p*u - 8 = -2. Suppose 4*l = -3*s + 41, u*l + 5*s - 17 = 11. What are the prime factors of l? 11 Let o(k) = 3*k**2 + k - 8. Let a(r) = -r**2 + r + 1. Let j(y) = 4*a(y) + o(y). Let m(i) = i + 6. Let l be m(-3). List the prime factors of j(l). 2 Let t = -35 - -35. Let l = 41 - 23. Suppose l = 3*x - t. What are the prime factors of x? 2, 3 Suppose z - 17 - 11 = 0. Let q = z + -4. List the prime factors of q. 2, 3 Let u be 7/2 - (-2)/(-4). Suppose -4 = -r - u. Suppose -5 = -2*b + r. What are the prime factors of b? 3 Let c be (6/(-4))/(3/(-6)). Suppose -c*m + 27 = -0*m. Suppose 5*r = -m + 44. List the prime factors of r. 7 Let g be 2 + 0 - (-92)/2. What are the prime factors of -2 - g/(-3) - 2? 2, 3 Suppose -4*o = -3*m + 46, m + 2 = 4*o + 28. What are the prime factors of m? 2, 5 Suppose -10 = 2*j, -3*g - 3*j = 2*j + 19. List the prime factors of g. 2 Suppose 4*w = 2*w + 2. Suppose 3 = d - w. List the prime factors of d. 2 Suppose 3*n = -2*n - b + 654, 4*b = 2*n - 244. List the prime factors of n. 2, 5, 13 Let m(f) = 5
{ "pile_set_name": "DM Mathematics" }
b) -0.2 (c) -25 (d) 1/6 (e) -5 (f) 32 (g) 0.2 d What is the third biggest value in 4/5, 0.101, 0.1, 9/886? 0.1 What is the fourth biggest value in 2, 8, -1/17, -5.224? -5.224 What is the second biggest value in 3/4, -61/2, 71, -1, 4028? 71 What is the fifth smallest value in -13, -30, -11, -10, 0? 0 What is the third biggest value in 77.3, -2, -0.1337, 3/5? -0.1337 What is the third smallest value in -1, -0.11, 569, -1/5? -0.11 What is the second smallest value in -2/27, 0.139677, 4/5? 0.139677 Which is the second smallest value? (a) 317 (b) 4 (c) -75/4 (d) -302 c What is the second smallest value in 27, 10, -1/8, 2/49, 0.01663? 0.01663 Which is the second biggest value? (a) -10 (b) -3 (c) -1 (d) 0.5 (e) 11 (f) -0.315 (g) 4 g What is the second biggest value in -1/6, -1, 0.2905? -1/6 What is the second biggest value in -0.04, 1/5, 4, 113037? 4 What is the biggest value in -27/1738994, -4, -2? -27/1738994 Which is the second biggest value? (a) 4 (b) 16499 (c) 32 c What is the fourth smallest value in -1, 1320, 5, 0, 4/3, 48/17? 48/17 Which is the second biggest value? (a) 1 (b) 0.1 (c) 4 (d) 2/7 (e) 182 (f) 283 e Which is the second smallest value? (a) 158 (b) -13 (c) -12166 b What is the fourth biggest value in 2, 2/3371, 1.2, 26? 2/3371 What is the smallest value in 2/3, 9/8855, 2.5? 9/8855 Which is the second smallest value? (a) 3 (b) -0.3331 (c) 6 (d) 29 (e) -6 (f) -0.04 b Which is the third smallest value? (a) 0 (b) 2 (c) 29/2 (d) 3/7 (e) 1.6 (f) 0.04 (g) -4 f What is the biggest value in -5, -0.16, -2, -3/7, 0, -18.1, -0.03361? 0 Which is the sixth biggest value? (a) -0.89 (b) 4 (c) 0.7 (d) 0 (e) -13559 (f) -2/3 e Which is the biggest value? (a) -3/8 (b) 4 (c) 5 (d) -3/5 (e) -308 (f) -2/7 (g) -0.5 c What is the third smallest value in -25, 0.4, 19/5, 22068? 19/5 What is the third biggest value in 0.3, -136/9, 8498.68? -136/9 Which is the fourth biggest value? (a) 3 (b) 786 (c) -1/3 (d) -1 (e) -49648 d What is the third smallest value in -18/11, 4, -360.26, 13? 4 Which is the second smallest value? (a) -3/7 (b) 5 (c) -48 (d) 6/7459 a What is the fourth smallest value in -4, 2.595, -7, 0.058, 0.1? 0.1 Which is the smallest value? (a) -6772 (b) 158 (c) 5 (d) 9/2 a What is the fourth biggest value in 34, -0.4, 1, -0.388? -0.4 Which is the fourth smallest value? (a) 0.01 (b) 6 (c) 60/13 (d) -2913 b What is the second smallest value in 28774, 2/11, -2/5, -0.05, 0.4? -0.05 What is the fourth smallest value in 49.742, -0.5, 0.2, 6/7? 49.742 What is the biggest value in -10, -49, -0.5, -3/2, 2/5, -247? 2/5 What is the third biggest value in 3/10, 19, -7377? -7377 What is the smallest value in -4905/7, 0.91, -3? -4905/7 What is the fourth biggest value in -1, -29873720, 5, 3? -29873720 Which is the third smallest value? (a) 1/119 (b) -2 (c) -185/98 a What is the fourth smallest value in -1/4, 0.3, -44/95, -373, -0.5? -1/4 What is the sixth biggest value in 39.3, 0.3, -0.3, -1/2, -0.06, 4, -793? -1/2 Which is the third smallest value? (a) 98 (b) 0.1059182 (c) -5 a What is the third biggest value in 0.33, 1/5, 2/3, -3, 2/5, -42/6607? 0.33 What is the third biggest value in 0.8, -5452, -18? -5452 Which is the second biggest value? (a) -2/321 (b) 0.5 (c) 3 (d) -11 (e) -0.1 b Which is the second smallest value? (a) 0.2 (b) -129 (c) 3 (d) -2/7 d What is the third smallest value in 789.97, 0, 1/2? 789.97 Which is the fourth biggest value? (a) 2 (b) -2/19 (c) -13 (d) 0.47 (e) 5 (f) -2/107 f Which is the fifth smallest value? (a) 0.29 (b) 4 (c) -3/7 (d) 99.3 (e) 2/7 (f) 1/4 b Which is the fifth biggest value? (a) -7 (b) 6 (c) -0.05 (d) -2/119 (e) -5 (f) 3 e Which is the fourth smallest value? (a) 0 (b) 13805 (c) 0.28 (d) 5 (e) 0.2 d Which is the fourth smallest value? (a) -14.3 (b) -11/4 (c) -0.4 (d) 0.9 (e) -0.07 e What is the second smallest value in -1, 0.18, 2/7, -2, 0.0371, -1.1, 0? -1.1 Which is the fourth biggest value? (a) 0 (b) -0.4 (c) 3 (d) 0.06 (e) -1 (f) 0.307 a Which is the second smallest value? (a) -156.2 (b) 3 (c) 11 (d) -3.2 (e) 1 (f) -0.5 (g) 5/3 d Which is the third biggest value? (a) -2/7 (b) -0.4 (c) -1/6 (d) 1/4 (e) 12/20299 (f) -1.7 c What is the fourth smallest value in -1/6, 0.3, -0.037, 5/3, 2/3, 29/5? 2/3 What is the third smallest value in 2, -40.9, -1, 4/7, 0.2? 0.2 Which is the fifth biggest value? (a) -6 (b) 2.7 (c) 0.38 (d) -14 (e) 4 (f) -4 a What is the fourth smallest value in -1/5, 2, -0.32, 0.2, 7, -2/59? 0.2 Which is the fourth smallest value? (a) 13 (b) -8 (c) -606 (d) -3 (e) 0.2 (f) 2/13 f What is the sixth smallest value in 2, -12, 1, 1/551, 0, 2/5? 2 What is the fourth smallest value in -0.05, 1, 5, 1/4, 2.458? 2.458 Which is the fourth smallest value? (a) 0.39 (b) -14 (c) 10 (d) 6 (e) 0.1 (f) -4/5 a Which is the second biggest value? (a) -0.91 (b) -55 (c) -49 (d) 3 (e) 4 (f) 1 (g) 1.4 d Which is the fifth biggest value? (a) -2/9 (b) -216/14069 (c) 3 (d) 0.5 (e) 1 (f) 4 b Which is the second biggest value? (a) 2/149 (b) -16 (c) -2/789 (d) -1.4 c What is the seventh biggest value in 0.1, 416, 4, 7, -0.3, 72, -2? -2 Which is the second smallest value? (a) -2 (b) 414069.43 (c) -6 a What is the biggest value in -0.07, 1, -2, -430, 4/9, -3449? 1 Which is the third biggest value? (a) -0.1 (b) -80 (c) 2/15 (d) 75 (e) 1/3 (f) -2/9 c Which is the third biggest value? (a) -189.4 (b) 3 (c) -1/13 (d) -1/3 d Which is the second smallest value? (a) 0.3 (b) 10 (c) 5/7 (d) 0.4 (e) 30/7 (f) 0.44 d Which is the fourth biggest value? (a) -10010 (b) 1 (c) 3 (d) -399 a What is the second biggest value in -44, -0.5, 8/81, 41? 8/81 Which is the fifth biggest value? (a) -0.3 (b) 200 (c) -763 (d) 1/4 (e) 1/2 (f) 5 a What is the second biggest value in -3, -0.439, -0.013, -2, 1? -0.013 Which is the fourth smallest value? (a) -11466 (b) 0.2 (c) 0.1 (d) -2/9 (e) 2/11 (f) -8 (g) -1/2 d Which is the fourth biggest value? (a) -2/11 (b) -34 (c) -14.3 (d) 0.2 (e) 50 c What is the smallest value in 387048, 0, 1/28? 0 Which is the fifth smallest value? (a) 5 (b) -5/2 (c) -0.0754 (d) 3 (e) 0.4 (f) 1/3 (g) 2/3 g Which is the second biggest value? (a) -0.05 (b) -0.2 (c) -7644.67 (d) 0 (e) -1/3 a What is the second smallest value in 0.2, -19, -5, -273, 4/3, -6? -19 What is the second smallest value in 1, 8.61, 3/8, 0.8, 5? 0.8 Which is the fourth smallest value? (a) -1.07 (b) -0.2 (c) -2295 (d) -1/2 (e) 2 (f) -3/4 d What is the third biggest value in 0.07, 0.09, -109123? -109123 What is the smallest value in -0.2, -6/19063, -20? -20 What is the third smallest value in 2/13, 805, -1, -0.4, 2, 0.1, 1/85? 1/85 Which is the fourth biggest value? (a) -3/35 (b) 57.71 (c) 0.1 (d) 2/7 a Which is the second smallest value? (a) -777 (b) 1071 (c) 0.1 c What is the fourth biggest value in 1/5, -4, -0.1, 3/166, -1.72? -1.72 What is the second smallest value in 1/183, -7889, -3? -3 Which is the fourth smallest value? (a) -2/3 (b) 5 (c) -3 (d) 116140 d What is the fifth biggest value in 0.31, 0.4, -5, -461, -6, -22/5? -6 What is the third smallest value in -1, -1/4, 0.5, 422.9, -0.5, 167? -1/4 What is the smallest value in -466, -0.5, -9962, 0? -9962 What is the fourth smallest value in -28/47, 18, 1, -5, -2, 0.5, 0? 0 What is the third biggest value in -0.56943, 2, 153? -0.56943 Which is the fourth smallest value? (a) 2/9 (b) -2 (c) 3/5 (d) -6 (e) 5 (f) -886 (g) 4/37 g What is the second smallest value in 720, 3.2, 117? 117 Which is the biggest value? (a) 3 (b) -85/6 (c) 0.5 (d) -2/3 (e) 2/33 (f) 67 f What is the smallest value in -568.9, -1/7, 5/7? -568.9 Which is the third smallest value? (a) -2/77 (b) 0.9 (c) -5/4 (d) -1.72 a What is the second smallest value in 92608, -66, -5? -5 Which is the third biggest value? (a) 1/11 (b) -2/19 (c) -0.0819 (d) 6.32 (e) -0.6 c Which is the biggest value? (a) 1/15 (b) -64 (c) -0.1 (d) 9.1 d Which is the fourth smallest value? (a) 2/7 (b) 5/21594 (c) -5 (d) 2/3 d What is the sixth biggest value in -0.08, -0.1, 1/3, 4/11, -8, -0.8? -8 What is the second biggest v
{ "pile_set_name": "DM Mathematics" }
replacement from {o: 3, d: 3, v: 2, s: 2, y: 1, j: 1}. What is prob of sequence oyjv? 1/1980 Two letters picked without replacement from {j: 4, o: 2}. Give prob of sequence jo. 4/15 Two letters picked without replacement from ccyyyycyyyy. Give prob of sequence yy. 28/55 Three letters picked without replacement from {y: 4, j: 1, b: 6, c: 8, v: 1}. What is prob of sequence ccy? 28/855 Calculate prob of sequence xxxr when four letters picked without replacement from xxrrrxrxxrxx. 35/396 What is prob of sequence ynz when three letters picked without replacement from giyggcyzingy? 1/440 Four letters picked without replacement from qqwwqqqw. What is prob of sequence qqwq? 3/28 Calculate prob of sequence oo when two letters picked without replacement from {o: 3, v: 1, t: 1, s: 3, u: 2, x: 1}. 3/55 Two letters picked without replacement from {u: 3, s: 5, w: 1, o: 1, y: 3, f: 6}. Give prob of sequence us. 5/114 Calculate prob of sequence unhn when four letters picked without replacement from {n: 2, u: 2, h: 1}. 1/30 Calculate prob of sequence iv when two letters picked without replacement from vljivjlhlvhl. 1/44 What is prob of sequence ddee when four letters picked without replacement from eeeeeerddddr? 1/33 Calculate prob of sequence dpd when three letters picked without replacement from {d: 7, p: 6}. 21/143 Two letters picked without replacement from aaa. Give prob of sequence aa. 1 Three letters picked without replacement from {z: 2, d: 1, l: 4}. What is prob of sequence dlz? 4/105 Calculate prob of sequence yuy when three letters picked without replacement from yyaauaauy. 1/42 Calculate prob of sequence ouwj when four letters picked without replacement from {j: 1, o: 3, u: 5, w: 1, k: 3}. 1/1144 Three letters picked without replacement from {c: 9, b: 3}. Give prob of sequence bbb. 1/220 Four letters picked without replacement from jxxxjxxjjjjxxjxjjxjx. Give prob of sequence xxxx. 14/323 Two letters picked without replacement from ryyyagygrayry. What is prob of sequence aa? 1/78 Two letters picked without replacement from {u: 1, h: 5, r: 3, t: 1}. Give prob of sequence ur. 1/30 Two letters picked without replacement from wwlwllwwlwlw. Give prob of sequence lw. 35/132 Four letters picked without replacement from {x: 3, r: 4, l: 4}. Give prob of sequence xxrx. 1/330 What is prob of sequence gg when two letters picked without replacement from xjgyxyygjyg? 3/55 Two letters picked without replacement from {t: 6, k: 2}. What is prob of sequence tt? 15/28 Two letters picked without replacement from {h: 6, k: 2}. What is prob of sequence hk? 3/14 Four letters picked without replacement from {v: 14, a: 4}. Give prob of sequence aaaa. 1/3060 What is prob of sequence ccc when three letters picked without replacement from cccccccccc? 1 Four letters picked without replacement from {h: 7, z: 3, p: 5, q: 3, b: 2}. What is prob of sequence qzqb? 1/3230 Four letters picked without replacement from {b: 1, z: 1, a: 2, h: 1, q: 2}. What is prob of sequence qqhz? 1/420 Calculate prob of sequence kk when two letters picked without replacement from {x: 7, k: 9}. 3/10 What is prob of sequence ky when two letters picked without replacement from {y: 2, k: 1, u: 2}? 1/10 What is prob of sequence dq when two letters picked without replacement from dquhqsx? 1/21 Calculate prob of sequence ghhg when four letters picked without replacement from {h: 5, g: 13}. 13/306 Two letters picked without replacement from {a: 2, r: 2, v: 1}. What is prob of sequence vr? 1/10 Two letters picked without replacement from {s: 1, w: 1, q: 1}. Give prob of sequence ws. 1/6 Four letters picked without replacement from rsrssrrrrrrrrrrrrr. Give prob of sequence sssr. 1/816 Two letters picked without replacement from {u: 3, m: 5}. Give prob of sequence mu. 15/56 Two letters picked without replacement from tffmmmtttmttfyftfttm. What is prob of sequence tt? 18/95 What is prob of sequence hf when two letters picked without replacement from {n: 1, t: 2, h: 1, f: 1}? 1/20 Two letters picked without replacement from ytjttyjtty. What is prob of sequence yy? 1/15 Calculate prob of sequence oyou when four letters picked without replacement from {v: 2, y: 2, u: 6, o: 2}. 1/495 What is prob of sequence tqvv when four letters picked without replacement from {t: 3, q: 3, v: 7}? 63/2860 What is prob of sequence jj when two letters picked without replacement from {j: 4, m: 6}? 2/15 Calculate prob of sequence jjd when three letters picked without replacement from {p: 1, d: 3, j: 12}. 33/280 Three letters picked without replacement from yyk. What is prob of sequence yyk? 1/3 Four letters picked without replacement from {y: 4, o: 2}. What is prob of sequence oyyy? 2/15 Four letters picked without replacement from {m: 4, g: 7, y: 4}. Give prob of sequence mmmm. 1/1365 Calculate prob of sequence pi when two letters picked without replacement from piiprrprp. 1/9 What is prob of sequence nnxw when four letters picked without replacement from {n: 2, p: 2, x: 1, w: 4, e: 5}? 1/3003 Three letters picked without replacement from mmsssmmm. Give prob of sequence mms. 5/28 Four letters picked without replacement from {h: 3, t: 6, x: 3, k: 1, f: 1, a: 1}. What is prob of sequence xfha? 1/3640 Two letters picked without replacement from {g: 9, e: 1, w: 9}. What is prob of sequence we? 1/38 Four letters picked without replacement from {y: 1, l: 3, a: 3, p: 4}. Give prob of sequence appy. 1/220 What is prob of sequence jsjs when four letters picked without replacement from sjsjs? 1/10 Calculate prob of sequence bc when two letters picked without replacement from {u: 1, p: 1, e: 2, b: 2, v: 1, c: 8}. 8/105 Calculate prob of sequence kvv when three letters picked without replacement from {k: 1, v: 2}. 1/3 Three letters picked without replacement from {g: 1, f: 1, r: 1, t: 2}. What is prob of sequence ttg? 1/30 What is prob of sequence ggi when three letters picked without replacement from {i: 6, g: 7, a: 6}? 14/323 Calculate prob of sequence nzu when three letters picked without replacement from keknszu. 1/210 What is prob of sequence njn when three letters picked without replacement from {j: 2, n: 6}? 5/28 Calculate prob of sequence ll when two letters picked without replacement from {l: 3, m: 7}. 1/15 What is prob of sequence ui when two letters picked without replacement from {f: 2, u: 5, p: 3, i: 7}? 35/272 Calculate prob of sequence mrr when three letters picked without replacement from {q: 3, p: 6, r: 2, m: 1, l: 3}. 1/1365 Two letters picked without replacement from nnnnnnnvnnnnnnn. Give prob of sequence vn. 1/15 Calculate prob of sequence ii when two letters picked without replacement from xxixixxiixix. 5/33 Two letters picked without replacement from {d: 10, j: 4, c: 1, f: 5}. What is prob of sequence df? 5/38 Three letters picked without replacement from {n: 3, c: 1, g: 1}. Give prob of sequence ccn. 0 Calculate prob of sequence ka when two letters picked without replacement from {a: 4, o: 2, c: 5, k: 2, s: 1}. 4/91 Two letters picked without replacement from bdbbwtwbtytbbbwbw. Give prob of sequence dy. 1/272 What is prob of sequence www when three letters picked without replacement from wwwwwwwgwwwwwwwwww? 5/6 Three letters picked without replacement from {s: 1, q: 3, y: 1, l: 1, a: 1}. Give prob of sequence asy. 1/210 What is prob of sequence ccxc when four letters picked without replacement from {c: 7, s: 1, x: 6}? 15/286 Calculate prob of sequence iq when two letters picked without replacement from qzqzzqiiqizizz. 8/91 What is prob of sequence yyj when three letters picked without replacement from yjyjyyyyyyyyy? 5/39 Two letters picked without replacement from {r: 4, e: 2}. What is prob of sequence re? 4/15 What is prob of sequence tt when two letters picked without replacement from tttttttttt? 1 Two letters picked without replacement from {g: 5, n: 3, f: 1, l: 1}. What is prob of sequence nl? 1/30 Two letters picked without replacement from {u: 16, v: 1, j: 3}. Give prob of sequence uu. 12/19 Three letters picked without replacement from {h: 2, o: 3, p: 3}. What is prob of sequence ohh? 1/56 Four letters picked without replacement from hhah. Give prob of sequence hahh. 1/4 Three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
0. -3, 1 Suppose 3*p**3/2 - 9*p**2/2 + 3*p = 0. What is p? 0, 1, 2 Find r such that 4*r**3/3 + 104*r**2/3 + 556*r/3 + 152 = 0. -19, -6, -1 Factor -2*g**2 + 32*g - 78. -2*(g - 13)*(g - 3) Let -5*u**3/3 - 35*u**2/3 - 80*u/3 - 20 = 0. Calculate u. -3, -2 Factor -2*n**2 + 10*n - 12. -2*(n - 3)*(n - 2) Solve 5*w**5/3 + 49*w**4 - 797*w**3/3 - 487*w**2/3 + 264*w + 340/3 = 0. -34, -1, -2/5, 1, 5 Factor 2*p**2/7 - 118*p/7. 2*p*(p - 59)/7 Determine s so that -2*s**2/11 - 318*s/11 + 1640/11 = 0. -164, 5 Suppose -f**2 + 25*f - 46 = 0. Calculate f. 2, 23 Let 6*q**2/5 - 42*q/5 = 0. Calculate q. 0, 7 Determine p so that -3*p**5 - 21*p**4 + 27*p**3 + 21*p**2 - 24*p = 0. -8, -1, 0, 1 Suppose 5*v**5/2 + 17*v**4/2 + v**3/2 - 17*v**2/2 - 3*v = 0. Calculate v. -3, -1, -2/5, 0, 1 Determine r so that -r**3/5 - 89*r**2/5 + 182*r/5 = 0. -91, 0, 2 What is c in 3*c**2 + 48*c + 84 = 0? -14, -2 Suppose 2*j**5 + 8*j**4 + 8*j**3 - 4*j**2 - 10*j - 4 = 0. Calculate j. -2, -1, 1 Let -2*r**4 + 348*r**3 - 14424*r**2 - 62300*r - 47526 = 0. What is r? -3, -1, 89 Suppose a**4 + 48*a**3 + 366*a**2 + 592*a + 273 = 0. What is a? -39, -7, -1 Factor g**3 + 216*g**2 + 11877*g + 22898. (g + 2)*(g + 107)**2 Factor u**3 + 47*u**2 + 560*u + 1984. (u + 8)**2*(u + 31) Factor -d**2/2 + 38*d. -d*(d - 76)/2 Suppose -z**4/4 + z**3 - 5*z**2/4 + z/2 = 0. What is z? 0, 1, 2 Suppose -35*m**4/9 - 269*m**3/9 - 172*m**2/9 - 28*m/9 = 0. Calculate m. -7, -2/5, -2/7, 0 Find i such that i**4/3 + 262*i**3/3 + 16625*i**2/3 - 70756*i/3 = 0. -133, 0, 4 Factor -18*k**3 + 86*k**2 + 258*k + 154. -2*(k - 7)*(k + 1)*(9*k + 11) What is v in 2*v**2 + 1090*v - 1092 = 0? -546, 1 Factor 128*f**2/17 - 16416*f/17 + 526338/17. 2*(8*f - 513)**2/17 Determine h so that h**5/4 - 31*h**4/4 - 175*h**3/4 - 185*h**2/4 + 87*h/2 + 54 = 0. -3, -2, -1, 1, 36 Solve -2*h**5/5 + 2*h**4/5 + 6*h**3 + 46*h**2/5 + 4*h = 0. -2, -1, 0, 5 Find f, given that 2*f**2/13 + 56*f/13 - 120/13 = 0. -30, 2 Suppose -q**2 + 45*q - 266 = 0. What is q? 7, 38 Solve 5*n**5 + 235*n**4 - 3280*n**3 + 14860*n**2 - 28000*n + 18880 = 0. -59, 2, 4 Factor -2*a**5/15 + 2*a**3/5 + 4*a**2/15. -2*a**2*(a - 2)*(a + 1)**2/15 Let -5*i**5/3 - 19*i**4 + 38*i**3/3 + 8*i**2 = 0. What is i? -12, -2/5, 0, 1 Factor -5*w**3 - 10*w**2 + 75*w. -5*w*(w - 3)*(w + 5) Solve h**3/4 + 3*h**2/2 - 9*h/4 - 27/2 = 0. -6, -3, 3 Factor 2*l**2 + 420*l + 7600. 2*(l + 20)*(l + 190) Solve -5*c**2 + 445*c - 3240 = 0. 8, 81 Factor d**4/2 - 37*d**3/2 - d**2/2 + 37*d/2. d*(d - 37)*(d - 1)*(d + 1)/2 Find d such that 3*d**3 - 15*d**2 - 3*d + 15 = 0. -1, 1, 5 Find i, given that -i**2/9 + 527*i/9 + 176/3 = 0. -1, 528 Factor 5*o**2 - 11100*o + 6160500. 5*(o - 1110)**2 Factor -b**3 + 159*b**2 - 6240*b - 6400. -(b - 80)**2*(b + 1) Factor 3*a**3/5 + 321*a**2/5 + 1617*a - 5445. 3*(a - 3)*(a + 55)**2/5 Let -35*s**5 - 215*s**4 - 515*s**3 - 605*s**2 - 350*s - 80 = 0. What is s? -2, -8/7, -1 Find a such that -a**2/3 - 244*a/3 = 0. -244, 0 Factor -4*n**4 - 436*n**3 + 4*n**2 + 436*n. -4*n*(n - 1)*(n + 1)*(n + 109) Let j**5 + 4*j**4 - 12*j**3 = 0. What is j? -6, 0, 2 Factor 2*k**2 - 746*k - 748. 2*(k - 374)*(k + 1) What is k in 4*k**2 - 1056*k + 69696 = 0? 132 Suppose -2*j**3/3 - 808*j**2/3 - 27470*j - 53868 = 0. What is j? -201, -2 Find i such that -3*i**4 - 21*i**3 - 12*i**2 + 36*i = 0. -6, -2, 0, 1 Find v such that v**2/3 - 13*v - 40/3 = 0. -1, 40 Find i, given that 2*i**5 - 6*i**4 - 34*i**3 + 78*i**2 - 40*i = 0. -4, 0, 1, 5 Solve -2*y**2/7 - 666*y/7 - 664/7 = 0 for y. -332, -1 Factor -27*a**5 - 60*a**4 - 39*a**3 - 6*a**2. -3*a**2*(a + 1)**2*(9*a + 2) Find d such that d**3 - d**2 - 489*d + 1449 = 0. -23, 3, 21 Factor 2*o**2/13 - 2*o/13 - 24/13. 2*(o - 4)*(o + 3)/13 What is u in 8*u**5/5 - 32*u**4/5 - 6*u**3/5 + 122*u**2/5 - 104*u/5 + 24/5 = 0? -2, 1/2, 2, 3 Suppose -6*o**3 - 1054*o**2 + 356*o + 704 = 0. What is o? -176, -2/3, 1 Find i such that -i**3/2 + 21*i**2/2 - 99*i/2 - 121/2 = 0. -1, 11 Factor m**2/5 - 118*m/5 - 119/5. (m - 119)*(m + 1)/5 Let 289*v**4/2 + 1462*v**3 - 10667*v**2 - 1270*v - 75/2 = 0. What is v? -15, -1/17, 5 Find d, given that -3*d**5 - 12*d**4 + 12*d**3 + 66*d**2 - 9*d - 54 = 0. -3, -1, 1, 2 Factor -3*q**4/4 - 3*q**3 + 57*q**2/4 - 21*q/2. -3*q*(q - 2)*(q - 1)*(q + 7)/4 Factor -2*q**4/3 - 48*q**3 - 2288*q**2/3 + 3648*q - 11552/3. -2*(q - 2)**2*(q + 38)**2/3 Let -4*c**2/5 - 244*c + 3696/5 = 0. What is c? -308, 3 Factor 3*o**5 - 84*o**4 + 495*o**3 - 1194*o**2 + 1284*o - 504. 3*(o - 21)*(o - 2)**3*(o - 1) Suppose 2*d**2/7 + 4*d - 144/7 = 0. What is d? -18, 4 Suppose -2*f**4/5 + 32*f**3/5 - 76*f**2/5 - 32*f/5 + 78/5 = 0. What is f? -1, 1, 3, 13 Solve -2*b**4/5 + 64*b**3 - 2560*b**2 = 0 for b. 0, 80 Determine v, given that 3*v**2 + 8580*v - 8583 = 0. -2861, 1 Factor -3*w**2 + 66*w - 363. -3*(w - 11)**2 Find a, given that a**4/4 + 303*a**3/4 - 76*a**2 = 0. -304, 0, 1 Factor 4*d**2 + 4156*d + 4152. 4*(d + 1)*(d + 1038) Find i, given that 4*i**4 + 104*i**3 + 188*i**2 - 104*i - 192 = 0. -24, -2, -1, 1 Solve -3*c**4 + 60*c**3 + 705*c**2 - 870*c - 1512 = 0. -9, -1, 2, 28 Factor 2*t**5 + 816*t**4 + 84044*t**3 + 165648*t**2 + 82418*t. 2*t*(t + 1)**2*(t + 203)**2 Solve 2*v**4/5 + 22*v**3/5 + 36*v**2/5 - 112*v/5 - 128/5 = 0. -8, -4, -1, 2 Factor u**2 + 17*u + 60. (u + 5)*(u + 12) Solve -4*v**4 + 164*v**3 + 532*v**2 - 164*v - 528 = 0 for v. -3, -1, 1, 44 Find z, given that 2*z**2 + 16*z = 0. -8, 0 Determine l, given that -5*l**4/2 + 50*l**3 + 12240*l**2 + 362880*l + 3179520 = 0. -24, 92 Factor -c**4 - 19*c**3 - 115*c**2 - 225*c. -c*(c + 5)**2*(c + 9) Find v, given that 3*v**3 + 828*v**2 - 1665*v + 834 = 0. -278, 1 Factor 3*s**4/4 + 309*s**3/2 + 10557*s**2 + 471339*s/2 - 985527/4. 3*(s - 1)*(s + 69)**3/4 Solve -5*y**4/6 + 5*y**2/2 + 5*y/3 = 0. -1, 0, 2 Suppose -r**2 + 40*r - 400 = 0. What is r? 20 What is r in -12*r**4 - 1221*r**3 + 2802*r**2 - 624*r = 0? -104, 0, 1/4, 2 Factor 3*p**2 - 87*p + 234. 3*(p - 26)*(p - 3) Find s such that -4*s**2 - 264*s = 0. -66, 0 Factor y**3/4 + 49*y**2/4 - 77*y/2 + 26. (y - 2)*(y - 1)*(y + 52)/4 Factor -j**2/7 - 2*j/7 - 1/7. -(j + 1)**2/7 What is x in -5*x**3 + 3315*x**2 = 0? 0, 663 Solve -4*h**3 + 408*h**2 + 828*h + 416 = 0 for h. -1, 104 Factor -z**4 - 16*z**3 - 90*z**2 - 216*z - 189. -(z + 3)**3*(z + 7) Let -p**5/4 - p**4/2 + 3*p**3/4 + 2*p**2 + p = 0. Calculate p. -2, -1, 0, 2 Factor 5*m**4 - 940*m**3 + 4615*m**2 - 7340*m + 3660. 5*(m - 183)*(m - 2)**2*(m - 1) Let 2*k**5 - 856*k**4 + 90732*k**3 + 184040*k**2 + 92450*k = 0. What is k? -1, 0, 215 Let -2*s**2/9 - 6508*s/9 - 5294258/9 = 0. Calculate s. -1627 Factor 5*k**2 + 175*k + 170. 5*(k + 1)*(k + 34) Find q, given that -2*q**5/3 - 22*q**4/3 - 28*q**3 - 136*q**2/3 - 80*q/3 = 0. -5, -2, 0 Factor -b**4/3 - 3*b**3 + 5*b**2 + 161*b/3 - 98. -(b - 3)*(b - 2)*(b + 7)**2/3 Find v such that -4*v**5/3 - 92*v**4/3 - 80*v**3 + 16*v**2/3 + 320*v/3 = 0. -20, -2, 0, 1 Solve 529*n**3/5 - 2691*n**2/5 + 231*n/5 - 1 = 0 for n. 1/23, 5 Factor -2323*x**3 + 9290*x**2 - 9284*x - 8. -(x - 2)**2*(2323*x + 2) Determine r so that -3*r**3/5 - 21*r**2/5 + 3*r + 45 = 0. -5, 3 What is s in 4*s**5 + 32*s**4 + 16*s**3 - 88*s**2 - 20*s + 56 = 0? -7, -2, -1, 1 Factor -2*j**2/3 - 14*j/3 - 4. -2*(j + 1)*(j + 6)/3 Factor 3*s**2 - 2882*s + 1920. (s - 960)*(3*s - 2) Let 6*v**4/7 + 86*v**3/7 + 82*v**2/7 - 1926*v/7 - 648/7 = 0. What is v? -9, -1/3, 4 Find m, given that -3*m**3 - 12*m**2 - 9*m = 0. -3, -1, 0 Factor 2657205*i**3 - 196830*i**2 + 4860*i - 40. 5*(81*i - 2)**3 Factor -l**2 + 62*l. -l*(l - 62) Suppose -3*v**3 - 45*v**2 - 216*v - 324 = 0. What is v? -6, -3 Factor 4*a**5 - 212*a**4 + 4032*a**3 - 31744*a**2 + 81920*a. 4*a*(a - 16)**3*(a - 5) Let -54*i**2 - 1887*i + 105 = 0. What is i? -35, 1/18 Find u, given that 51*u**5 - 57*u**4 - 912*u**3 + 2760*u**2 - 2352*u + 240 = 0. -5, 2/17, 2 Determine t, given that 2*t**5/11 + 6*t**4/11 + 4*t**3/11 - 4*t**2/11 - 6*t/11 - 2/11 = 0. -1, 1 Find y such that 8*y**5 + 14*y**4 - 9*y**3 - 11*y**2 - 2*y = 0. -2, -1/2, -1/4, 0, 1 Suppose -t**3/3 + 5*t**2/3 + t/3 - 5/3 = 0. Calculate t. -1, 1, 5 Factor m**3 + 12*m**2 - 31*m - 42. (m - 3)*(m + 1)*(m + 14) Find t, given that -5*t**3 + 15*t**2 + 5*t - 15 = 0. -1, 1, 3 Factor -2*x**4 + 26*x**3 - 22*x**2 - 26*x + 24. -2*(x - 12)*(x - 1)**2*(x + 1) Suppose -2*v**5 + 88*v**4 + 288*
{ "pile_set_name": "DM Mathematics" }
-100111001001011101 (base 2) to base 14. -42617 What is -144380 (base 9) in base 8? -254714 What is 78c0 (base 16) in base 5? 1442122 What is -50070 (base 13) in base 5? -14033041 Convert -3854549 (base 11) to base 6. -355120250 213368 (base 9) to base 5 13032101 250345313 (base 6) to base 10 4788621 What is 471148 (base 9) in base 13? 9ba56 Convert -12440223 (base 5) to base 10. -124438 What is -9e70 (base 16) in base 14? -10ad2 Convert 1b2a5 (base 15) to base 11. 60423 Convert 27405 (base 14) to base 6. 2024141 Convert -21167713 (base 8) to base 4. -101032333023 What is -7b04 (base 14) in base 8? -51570 Convert -5431114 (base 9) to base 11. -1710297 Convert 5050 (base 11) to base 12. 3a72 Convert -313302332323 (base 4) to base 14. -1d2a639 -13a3718 (base 15) to base 3 -222200202112012 What is -430a98 (base 11) in base 13? -1b1a72 Convert -8618862 (base 9) to base 2. -10001100111101010100111 What is 243602 (base 9) in base 8? 437111 -1001000100100111011 (base 2) to base 12 -12404b Convert 130140344 (base 5) to base 9. 1161164 What is -4260 (base 11) in base 9? -7647 What is -30a190 (base 12) in base 15? -1015a3 What is 100046 (base 10) in base 13? 366cb Convert -190416 (base 10) to base 3. -100200012110 -10101011111101100000 (base 2) to base 16 -abf60 What is -2461400 (base 10) in base 12? -9a8508 Convert -4130215 (base 6) to base 4. -300123203 What is -1532035 (base 8) in base 6? -13225525 2937363 (base 11) to base 4 103033333231 What is -845129 (base 10) in base 8? -3162511 Convert -11011000111000101111 (base 2) to base 14. -191a6b Convert -26574 (base 11) to base 4. -21101002 Convert 10001122100000 (base 3) to base 13. 44c514 What is 103320222203 (base 4) in base 14? 999a15 -54054442 (base 6) to base 10 -1593818 Convert -59a86 (base 15) to base 3. -112112011000 What is -322002 (base 11) in base 4? -1331300123 -1630905 (base 11) to base 16 -2a76a4 -1100100000101101011 (base 2) to base 15 -8170d Convert -4393a (base 11) to base 10. -63689 What is 211144 (base 9) in base 16? 1ea45 51bb1a (base 14) to base 6 135053152 Convert -13323242 (base 5) to base 12. -668b4 What is -405241 (base 6) in base 15? 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544052334 What is 347023 (base 15) in base 12? a092a3 Convert 14c40 (base 15) to base 5. 4120020 Convert 222211220 (base 3) to base 5. 1111242 79722c (base 14) to base 15 568b37 What is 7669887 (base 10) in base 14? 1039211 12300010322 (base 4) to base 3 10022220200122 Convert 269931 (base 10) to base 2. 1000001111001101011 What is 3428b (base 13) in base 16? 172cc What is 151413210 (base 6) in base 12? 1084206 Convert -4c4b97 (base 14) to base 2. -1010000001000000010001 What is -33262e (base 15) in base 14? -476772 -23434220 (base 5) to base 15 -44925 What is 1010110101001010010000 (base 2) in base 5? 1211323214 What is -2211002222 (base 4) in base 8? -2450252 What is 134422023 (base 5) in base 15? dccc8 Convert 1310340003 (base 5) to base 16. 310e9b What is 143265 (base 8) in base 7? 301210 What is 112010011121 (base 3) in base 6? 5542241 What is 28073a3 (base 11) in base 3? 100002222001021 451503 (base 8) to base 3 21202000222 What is -1230252 (base 6) in base 9? -110725 11ca5 (base 15) to base 8 157027 Convert -101110110000011000 (base 2) to base 3. -100201201001 Convert 11112111122 (base 3) to base 15. 1b6db What is -23a85b5 (base 13) in base 10? -11071676 Convert -316576 (base 14) to base 9. -3124028 Convert 34341321 (base 5) to base 16. 4b6e1 Convert -10957 (base 14) to base 13. -15429 1042231 (base 5) to base 8 44011 What is 1106214 (base 10) in base 5? 240344324 -124044041 (base 5) to base 14 -11d268 6e7bb (base 16) to base 4 1232132323 Convert -58570 (base 11) to base 4. -110220313 -27602251 (base 8) to base 9 -12640884 200112111022 (base 3) to base 11 22a140 32440134 (base 5) to base 4 1010201131 Convert 23112365 (base 7) to base 13. 55964c What is 1080448 (base 9) in base 6? 20305025 Convert 2301034402 (base 5) to base 4. 103130030203 Convert -39b782 (base 12) to base 11. -5a11a7 -102200022321 (base 4) to base 7 -56140665 -16372369 (base 10) to base 4 -332131022101 Convert -42506 (base 14) to base 2. -100111000110001010 Convert 11011111010101101100000 (base 2) to base 5. 3333141433 Convert -245a7 (base 15) to base 4. -130111000 What is -210012323321 (base 4) in base 14? -13857bb What is -2705662 (base 8) in base 11? -477541 -118263 (base 9) to base 2 -10001011111101101 What is -15d38 (base 14) in base 15? -1133e Convert 361f8 (base 16) to base 14. 5ab0c Convert -143c98 (base 15) to base 14. -1b5399 What is -1686851 (base 9) in base 13? -27047b 14775757 (base 8) to base 14 6497b1 Convert 1067289 (base 13) to base 5. 2240422010 -2110332110 (base 4) to base 6 -21024552 4253b3 (base 13) to base 4 11323120030 4d65 (base 14) to base 7 54455 What is 3773029 (base 10) in base 15? 4e7e04 43003424 (base 5) to base 14 95208 -111100101101101101 (base 2) to base 9 -418116 -e717a (base 15) to base 2 -10110010111000101011 -221100301 (base 4) to base 12 -81981 Convert 1b085 (base 13) to base 3. 2200110221 Convert 10000101001101010 (base 2) to base 5. 4140302 Convert -102636 (base 8) to base 12. -17966 What is e9e2 (base 15) in base 2? 1100000101001111 64682 (base 13) to base 9 305585 Convert -31ee0 (base 16) to base 5. -23021022 What is 6896a (base 12) in base 3? 21002112001 Convert -18617185 (base 9) to base 10. -9400613 Convert 216525666 (base 7) to base 4. 302022123231 -2212011012122 (base 3) to base 8 -5626103 Convert -10300502 (base 6) to base 11. -197a90 -155588 (base 9) to base 11 -66129 7677018 (base 9) to base 14 795616 What is -719431 (base 13) in base 9? -4875454 Convert -54288 (base 13) to base 7. -1202163 30441035 (base 7) to base 11 149024a What is 184137 (base 13) in base 11? 386430 Convert -31c23 (base 13) to base 11. -61631 -2222000000020 (base 3) to base 11 -986067 Convert 497d2 (base 14) to base 4. 223323030 Convert -1224001 (base 5) to base 8. -56112 What is 12001222120210 (base 3) in base 14? 502868 Convert -20da3d (base 14) to base 2. -100001111110011110111 Convert e1dae (base 15) to base 10. 715214 What is 22101221002 (base 3) in base 2? 101000011000110111 Convert 114056612 (base 7) to base 10. 7073306 What is 22202101 (base 4) in base 14? 11a25 -29bc86 (base 13) to base 10 -1025940 What is -dc9d5 (base 15) in base 8? -2530662 Convert -1330000 (base 8) to base 7. -3111460 Convert 2ae43 (base 16) to base 3. 22220222210 -1110101010101101001000 (base 2) to base 14 -721304 130323311 (base 4) to base 2 11100111011110101 What is -55425312 (base 6) in base 12? -685238 -100102330 (base 4) to base 2 -10000010010111100 -2683c5 (base 16) to base 13 -6a4b68 Convert -56139 (base 11) to base 16. -13dca 2212120001 (base 4) to base 6 22334545 Convert 4b399 (base 16) to base 10. 308121 -543289 (base 11) to base 13 -2451cb -5748368 (base 9) to base 15 -4145be -330120101 (base 4) to base 7 -2050013 Convert 5aa29 (base 16) to base 12. 15aa09 -2b2500 (base 14) to base 10 -1504692 Convert -489916 (base 11) to base 12. -3141a9 Convert 10faa6 (base 16) to base 9. 2075350 What is -523b9 (base 13) in base 5? -14212413 Convert -1577443 (base 8) to base 14. -bd163 -14647c9 (base 14) to base 4 -211312310031 What is -104534135 (base 6) in base 5? -442104211 Conver
{ "pile_set_name": "DM Mathematics" }
-5*y, 4*t - 39 = 2*y + y. Let x(u) = u + 8 + 8*u**2 - 4 - u**3 + 8*u**2 + 0. Calculate the lowest common multiple of t and x(16). 60 Let k be (-765)/(-256) - (-9 - -12). Let m = -3791/1280 - k. What is the common denominator of 5/18 and m? 180 Let d(p) = -8*p - 22. What is the lowest common multiple of d(-4) and 8? 40 Let r be (6/47220)/((-5)/(-2)). Let i = -1987211/708300 + r. What is the common denominator of -21/2 and i? 36 Suppose 2*f + 1 = 7. Let z be f/(4*(-3)/(-12)). Suppose -3*k - 2*p + 46 = -k, 85 = z*k - p. Find the common denominator of -77/16 and k. 16 Let n = 58 - 56. Let h(r) = -r**2 + 4*r + 7. Let d be h(5). What is the smallest common multiple of 1 + (0 - d) - -12 and n? 22 Let r(y) = -69*y + 36. Let z be r(4). Let l = 118583/5 - 1291148/55. Let i = z + l. Find the common denominator of i and 35. 11 Let d = -971317/78 - -12452. What is the common denominator of -25/2 and d? 78 Let q(z) = z**3 + 6*z**2 + z - 8. Let l be q(-6). Let x be ((-20642)/(-7))/(6/l). Let b = x + 123739/18. Find the common denominator of 93/4 and b. 36 What is the smallest common multiple of 5 and (26 - 54)*(-2)/4? 70 Let p be (8/(-6))/((-4)/6). What is the least common multiple of p - 0 - (-1 - -1) and 5/(-50)*4*-10? 4 Suppose -10*n - 9815 = -9975. Let g(v) = 7*v. Let u be g(6). Suppose -3*i + 2*y + u = 0, y + 1 + 2 = 0. What is the lowest common multiple of n and i? 48 Let v(t) = -t**2 + 8*t + 13. Let m be 5/((-40)/6)*-8. Suppose -4*d = 3*r - 54, m*d = 3*d. What is the smallest common multiple of r and v(9)? 36 Let y = -778 - -781. Calculate the least common multiple of 3/(1 + 2/(-3)) and y. 9 Let l = 9442/615 - 4/205. Calculate the common denominator of l and (-6)/9 - (-291)/252. 84 Let k(d) = -4*d + 2. Let c be k(-2). Let a = 46223/540 + -2164/27. What is the common denominator of (-1 - 57/c) + -1 and a? 20 Let y = 108739/35504 + -1/4438. Find the common denominator of y and 63/2. 16 What is the least common multiple of ((-8)/(-5))/(6/30) and 16? 16 Let j = -34 - -35. What is the common denominator of -7/16 and j*3 + (-1071)/72? 16 What is the lowest common multiple of 8 and (-8)/(-100) - 1996/(-50)? 40 Suppose -6 = -3*k + 2*k. Let z(w) = 3*w + 5. What is the least common multiple of z(2) and k? 66 Suppose 2*l - 42 = 46. What is the lowest common multiple of 52/2 - (9 + 25/(-5)) and l? 44 Suppose 0 = 6*k - 7673 - 3811. Let r = -15223/8 + k. What is the common denominator of -107/10 and r? 40 Suppose 0 = -6*c + 2*c + 8. Suppose -z - 14 = -5*l, c*z + 11 = 3*l - 3. Calculate the smallest common multiple of 10 and 4/(2 - (-6)/z). 40 Let r(a) = 87*a + 36. Let d be r(-8). Calculate the smallest common multiple of 18 and 2/4*d/(-10). 198 Find the common denominator of 31/24 and -3 + 1378*(-4)/(-960) + -3. 120 What is the common denominator of (-38)/(-133)*111/6 and 7/50? 350 Let r = 15 - 8. What is the least common multiple of r and (152/18 - 1) + 20/(-45)? 7 Let v(j) = -j**2 - j - 2. Let h(f) = -2*f**2 - 11*f + 4. Let t(r) = -h(r) + 3*v(r). Let a = 4 - 0. Calculate the least common multiple of t(a) and 8. 24 Let r = -493/36 + 145/9. Find the common denominator of r and 13/15. 60 Let a(s) = s**2 + 4*s + 5. Calculate the lowest common multiple of a(-3) and 32. 32 What is the lowest common multiple of 6 + 0/(-1) - 2 and (-2)/14 - 114/(-14)? 8 Suppose -5*l = 10*l - 390. What is the smallest common multiple of 7 and l? 182 Suppose 42 = -43*s + 45*s. What is the common denominator of ((-35)/s)/((-2)/54) and 4/(-6) - 82/(-12)? 6 Let z(b) = -4*b + 6. Let l = -5 + 3. Let m be z(l). Suppose 5*x - 36 = m. What is the lowest common multiple of x and 8? 40 Let v be (-15329)/(-84) - ((-10)/6 - -2). Let u = v + -1306/7. What is the common denominator of -48/11 and u? 132 Suppose 2*r - 3 - 7 = 0. What is the common denominator of (159/(-12))/(r + -3) and -19/22? 88 What is the common denominator of 222*(-10)/200 + 9 and -49/178? 890 Let h = 246 - 226. Calculate the least common multiple of h and 20. 20 Find the common denominator of 379/440 - 24/(-64) and -49/40. 440 Let z = -414 + 801/2. Let g = 69 - 258. Calculate the common denominator of z and 2 + 1 + g/6. 2 Suppose 0 = -2*i + 5*i - 6. Suppose -2 = m + i*r, 4*r = 5*m - 0*r + 38. Let l = m - -13. Calculate the smallest common multiple of 10 and l. 70 Suppose 0 = 4*u - 8*u - 240. Find the common denominator of (-60)/(-9)*(-60)/32 and (0 - -2)*171/u. 10 Let h = 2537616 - 25405087/10. Let u = h + 2900. What is the common denominator of 4/41 and u? 410 Let s(w) = -56*w - 57. What is the smallest common multiple of 10 and s(-7)? 670 Suppose 0*v = -2*v. Suppose v*k = k - 4*f - 102, 5*k + 5*f - 585 = 0. Suppose 5*j = k - 4. Calculate the least common multiple of 20 and j. 220 Suppose -4*x = -247 - 361. What is the smallest common multiple of 22 and x? 1672 Let a = -5910 - -82651/14. What is the common denominator of a and 113/42 + (12 - 14)? 42 Suppose 3*p + 131 + 20 = 2*o, -83 = -o - p. Let d = 7 - 3. Suppose s + d*s = o. Calculate the lowest common multiple of 14 and s. 112 Suppose -72 = 7*q - 4*q. Let t = q - -25. Let r(a) = -a**2 + 6*a + 1. What is the least common multiple of r(6) and t? 1 What is the lowest common multiple of 6 and -1*(-1 + 1 - 2)*5? 30 Let c(a) = a**3 - 13*a**2 - a + 27. What is the lowest common multiple of 34 and c(13)? 238 Suppose -6 = -5*v + 4. Suppose y - 59 - 6 = 0. Suppose -d = -5*n - 8 - 7, -3*d = 5*n - y. Calculate the lowest common multiple of v and d. 20 Let j = 103 - 105. Calculate the least common multiple of 36 + j - (1 - (-3 - 0)) and 12. 60 Suppose -3*r - 1884 = -r. Let o = 7547/8 + r. Calculate the common denominator of -41/9 and o. 72 Let c = 634810921/2 - 4749655424615/14964. Let l = c - -18/1247. Find the common denominator of l and (2/36)/((-2)/51). 12 Let a be ((-75)/(-318))/(6/(-340)). Let w = -5/159 - a. Calculate the common denominator of 7/9 and w. 9 Suppose -9*m - 43*m = -5304. Calculate the lowest common multiple of 204 and m. 204 Suppose 0 = -2*b - 22 + 40. Let h(f) = 9*f**2 + f + 2. Calculate the least common multiple of b and h(-1). 90 Let r = -5 + 7. Let y(f) = -2*f**2 - 3*f + 15. Let a(m) = -m**2 - 2*m + 7. Let g(l) = 5*a(l) - 2*y(l). Calculate the least common multiple of g(-3) and r. 8 Let s = 1/36924 + -12562367/61540. Let h = 229114/1191 + -15/397. Let m = h + s. Find the common denominator of m and 10/7. 35 Suppose 5*f - 3*d = 66, -26 + 14 = -4*d. Calculate the least common multiple of 273 and f. 1365 Let z(o) be the second derivative of o**5/20 - o**4 - 13*o**3/6 + 8*o**2 - 21*o. Let x = 72 - 42. What is the lowest common multiple of z(13) and x? 240 Let d = 3 + 4. Suppose -3*g + 6 = -0*z + 2*z, 0 = 3*g + 5*z + 3. Calculate the lowest common multiple of g and d. 28 Suppose -5*f = -5, 0 = -0*r - r + 5*f - 7. What is the common denominator of r/(2 + 4) + (-5008)/2400 and 4/5? 50 Find the common denominator of -57/16 and (-5)/2*745/(-525). 336 Suppose 6*t - 2*t - 8 = 0. Suppose t*k + 2*k = 0. Suppose -m - 3*g + 1 = k, 0 = -4*m - 0*g - 3*g + 31. Calculate the least common multiple of 10 and m. 10 Let l(b) = 2*b**2. Let j be l(-1). Suppose j*d = d + 14. Let p(a) = -a + 20. What is the smallest common multiple of d and p(0)? 140 Suppose 5*m = 9*m - 16. Suppose -6 = -5*i + m. What is the smallest common multiple of 2 and i? 2 Let c be (-3)/2*919 - 5/1. Let l = 281861 - 3398801/12. Let s = c - l. Find the common denominator of s and 97/18. 36 Suppose 20*p = 15*p + 760. What is the least common multiple of p and 114? 456 Let t(u) = 79*u - 350. Calculate the lowest common multiple of 120 and t(5). 360 Suppose 2*r + 2*g - 78 = 0, -r + 62 = r - 2*g. What is the least common multiple of r and 259? 1295 Let l = -4069967/28706085 - -2/109985. Find the common denominator of l and -7/290. 2610 Suppose 2*j - 2*q = -2*j + 6, -2*j = -3*q - 9. Suppose 25 = -5*p, j*f - f = -4*p - 63. What is the smallest common multiple of f and 3? 129 Let m(c) = c**3 + 9*c**2 + 17*c + 13. Let z be m(-6). Let y = 39 - z. What is the smallest common multiple of y and 15? 60 Calculate the smallest common multiple of 21 + 2/3*-3 - 3 and 11. 176 Suppose -216 = -d - l, 3*d - 2*l - 378 - 270 = 0. Calculate the lowest common multiple of d and 48. 432 Let h = 53 - 55. Find the common denominator of 73/14
{ "pile_set_name": "DM Mathematics" }
? -1000 Let j(b) be the first derivative of 36875*b**2 + 1. Suppose 3*m + 22 = 3*t - 8, -34 = 5*m + 3*t. Let y be j(m). What is y rounded to the nearest 100000? -600000 Let j = 1 - 7. Let s = 7 + j. Let d = -1.000006 + s. Round d to five dps. -0.00001 Let q = -0.6209 - 0.1101. Round q to one dp. -0.7 Suppose 5*m + 1738 = 4*y + 25434, -2*m - y = -9481. Round m to the nearest 100. 4700 Let v = -44.6 - -157.5. Let f = v + -119. Round f to the nearest integer. -6 Let h = 24 + -28. Let a be (-1)/h + 888/32. Round a to the nearest 10. 30 Let n = 41594 + -41594.033949. Let x = n - -0.034. What is x rounded to 5 dps? 0.00005 Let m = -904.485 + 903. What is m rounded to one dp? -1.5 Let x = 866.74 + -856. Let m = -2.16 - x. What is m rounded to 0 decimal places? -13 Let k = -505410.6200331 + 505409.8. Let x = k + 0.82. What is x rounded to six decimal places? -0.000033 Let t = 47428 - 21860. Let l = t + -25741.869. Let d = 174 + l. What is d rounded to two decimal places? 0.13 Let a = -3250429 + 9079775. Let t = 3570654 + a. Round t to the nearest one million. 9000000 Let w = -422976636 - -252176636. What is w rounded to the nearest one million? -171000000 Let x = -0.192 - -0.081. Round x to 2 dps. -0.11 Suppose -z - x - 313495 = 0, 0 = -3*z + x - 1126981 + 186476. Round z to the nearest 10000. -310000 Let k = -11.84 - -5.17. Round k to one decimal place. -6.7 Let p(d) = -4*d**3 - 2*d**2 + 1. Let r be 3/(-5) - 6/15. Let v be p(r). Suppose -2*b = 2*q - 5*b - v, -4*q - b = 1. What is q rounded to 2 dps? 0 Let f = 27167773 + -12867773. Round f to the nearest one million. 14000000 Suppose -2*h + 278 = 2*d - 86, -2*d + 364 = -3*h. Round d to the nearest 100. 200 Let x = -3 + 5. Let i(v) = -37*v + 2 + 34*v - 2*v**2 + v**2 + 625*v**3 + 2*v**2. Let w be i(x). What is w rounded to the nearest ten thousand? 10000 Suppose j + 0 = -35. Let x be 15/j - 2520003/(-7). Round x to the nearest one hundred thousand. 400000 Let u be (-1 + 30001)*(-12 + 6 + 15). Round u to the nearest 10000. 270000 Let v = -57.3 + 9.3. Let i = -16 - v. Let l = i + -30.98. Round l to one dp. 1 Let i be 1*(-3 + 7) - 4. Suppose -2*q = -i*q - 10. Let h be 92/q*3750/6. What is h rounded to the nearest 1000? 12000 Let p be (-21)/14*(0 + -2). Let o be (-115200002)/p + (-30)/(-45). What is o rounded to the nearest one million? -38000000 Let z(f) = -4119996*f - 2. Let l(u) = 4119995*u + 2. Let p(b) = 2*l(b) + 3*z(b). Let d be p(1). What is d rounded to the nearest one hundred thousand? -4100000 Let i = -7 - -10. Suppose 0 = 3*l - 5*j - 65, l = -i*l - 5*j + 75. Let m = 120 - l. Round m to the nearest 100. 100 Let t = -331.873 + 329.6. Round t to one decimal place. -2.3 Let b be 2 + (-8)/(16/(-4)). Suppose y + 5217 = -p + 3*y, b*p - y = -20861. Let u = p - 96785. What is u rounded to the nearest 10000? -100000 Let l = -0.6 + 0.58. Let m = l + -0.16. Let d = m - -0.166. Round d to 2 decimal places. -0.01 Let p = 214377712325902 + -214377746308427.0000007. Let t = -33982529 - p. Let n = t - -4. Round n to seven decimal places. 0.0000007 Let l = 790.180534268 - -335.819466385. Let r = -1126 + l. Round r to seven decimal places. 0.0000007 Suppose 0*p = -2*p + 8. Let r = p - 1. Let i be (-220)/24*8*r. Round i to the nearest one hundred. -200 Suppose -2*v = -j - 66200, 0*v + 3*j + 165500 = 5*v. What is v rounded to the nearest ten thousand? 30000 Let n = -2.88291 + -0.03809. Let j = n - 0.969. What is j rounded to zero decimal places? -4 Let n = 362030 - 361832.087. Let r = -198.123 + 0.123. Let t = n + r. What is t rounded to 2 decimal places? -0.09 Suppose 52*g + 3*g = -1456950000. What is g rounded to the nearest 1000000? -26000000 Let v(k) = -95270*k**2 - 266283*k**2 + 9*k - 4 + 111552*k**2 - 14*k. Let r be v(-4). Round r to the nearest 1000000. -4000000 Let f = 232798691.00000075 + -232798661. Let v = f - 30. What is v rounded to seven decimal places? 0.0000008 Let n = 498 - 497.989998. Let d = -0.01 + n. What is d rounded to 6 decimal places? 0.000002 Suppose -4 = -3*p + 2*p. Suppose 3*f - 9200 = p*f. What is f rounded to the nearest 1000? -9000 Let c = 1.9 + -1. Let r = c + -0.90264. Round r to 4 dps. -0.0026 Let h(m) = -m**3 - 15*m**2 - 2*m - 12. Let b be h(-15). Suppose -3 = 3*f - b. Suppose -v - 12000 = v + 4*u, f*u = 0. Round v to the nearest one thousand. -6000 Suppose 4*t + 817929 - 27377829 = 0. Suppose -t = 4*c + 5*l, 0 = 3*c + c + 4*l + 6639980. What is c rounded to the nearest one hundred thousand? -1700000 Suppose -4 = -4*s, -r + 4 + 3 = 4*s. Suppose r*g + 18 = -2682. What is g rounded to the nearest ten thousand? 0 Suppose 24 = -g - 2*g. Let q(s) = -436*s + 32. Let y be q(g). What is y rounded to the nearest 1000? 4000 Let u = -3568111418.10000687 - -3568111360. Let q = u - -58.1. Round q to 6 decimal places. -0.000007 Let h = 0.0082 + 28.0918. Let z = h + -2.1. Let j = 26.00132 - z. Round j to 4 decimal places. 0.0013 Suppose 4 = z - 0. Suppose 3*w - w = z. Suppose h - 448 = 2*d, 448 = -w*d + h - 5*h. What is d rounded to the nearest 10? -220 Let i = 0.795472 + -0.794. Round i to three decimal places. 0.001 Let q = -185576.60018 - -185526.6. Let x = 50 + q. Round x to four dps. -0.0002 Let c = 1 + 10. Let f(v) = -2*v**3 + 6*v**2 - 15*v - 9. Let b be f(c). Round b to the nearest 100. -2100 Let q = -2206.3 - -2109. Round q to the nearest ten. -100 Let l = 17.6 + -17.60535. Round l to 3 dps. -0.005 Let n(o) = o**3 + 47*o**2 + 10*o - 160. Let d be n(-47). Round d to the nearest ten thousand. 0 Let a = -25.046 + 25. Let m = a + -3.854. What is m rounded to zero decimal places? -4 Let n = -23.6 + 3.1. Let g = 7.7 + n. Let y = -12.800057 - g. Round y to 5 dps. -0.00006 Let z = 0.415706 - 0.422. What is z rounded to 4 decimal places? -0.0063 Let u = -4.41 + 3. Let b = 0.222 - -0.008. Let o = u - b. Round o to 1 dp. -1.6 Let s(b) = 7125000*b**2 - 39*b - 156. Let y be s(-4). What is y rounded to the nearest one million? 114000000 Let t = 23.93 - 23.929562. Round t to 4 decimal places. 0.0004 Let n = 148.0000085 + -148. What is n rounded to six dps? 0.000009 Let y = 33.094 - 6.87. Let p = 26 - y. Let i = 0.49 + p. Round i to 2 dps. 0.27 Let g = 53561 + -53563.2361. Round g to one decimal place. -2.2 Suppose 0 = 3*k + 5*s - 0 + 1134, -4*s = -4*k - 1480. Round k to the nearest 100. -400 Let t = 10086 + -10085.95557. Round t to 3 dps. 0.044 Suppose -26*x + 1750054 = 308094. What is x rounded to the nearest 10000? 60000 Let y = 0.143295 - -27.231729. Let t = y + -27.265. Let s = 0.11 - t. Round s to five decimal places. -0.00002 Let u = 0.02267 + -145.63267. Let w = -147 - u. Round w to the nearest integer. -1 Let h = -46 - -102. Let y = -56.0000009 + h. Round y to 6 decimal places. -0.000001 Let t = 3 + 1. Suppose t*k = -523 - 725. Round k to the nearest ten. -310 Let b = 16 - 81. Let w = b - -64.9999911. What is w rounded to 6 decimal places? -0.000009 Let j(g) = 2*g**3 + g**2 - 6*g + 6. Let w be (4*-1)/((-2)/(2/(-1))). Let l be j(w). What is l rounded to the nearest 10? -80 Suppose -5*u = 3*f - 23 + 6, f + 1 = 0. Let b be u + -4 + 529999 + 1. What is b rounded to the nearest 100000? 500000 Let a = 36.23 + 0.77. Let q = a - 20. Let r = 16.99954 - q. What is r rounded to 4 decimal places? -0.0005 Let r = 62.22 - 62.2193887. Round r to four dps. 0.0006 Let m = -27908390 - -27908388.4400067. Let p = 59 - 57.44. Let t = p + m. What is t rounded to six decimal places? 0.000007 Suppose 0 = -3*y + 13 - 4. Suppose 0 = -y*d + 1438805 - 317702. Suppose p = d + 1796299. Round p to the nearest one hundred thousand. 2200000 Suppose l + 7 = o, -3*o + 21 = 2*o + 2*l. Suppose 3*f - o = -20. Let s(t) = -815999*t**2 + 4*t - 5. Let r be s(f). Round r to the nearest one million. -20000000 Let g = -28.28 - 0.72. Let p = -28.3 - g. Let j = -0.700068 + p. What is j rounded to 5 dps? -0.00007 Let u = -0.078 - 363.922. Let g = 364.000000474 + u. What is g rounded to seven dps? 0.0000005 Let d = -2.4149153 - -0.0229453. Let l = d - -2.39. What is l rounded to 3 decimal places? -0.002 Let l = -2857 - -2851.726. Let d = l + 4.7. Let q = d + 0.43. What is q rounded to 2 decimal places? -0.14 Let o = 282089.57 - 279739. Let v = -2286 + o. Let t = v - 64. Round t to one dp. 0.6 Suppose 5*h + 1609566 = 6*h. Suppose -3*v - h =
{ "pile_set_name": "DM Mathematics" }
n divisor of b and 2709. 9 Let s(c) = -56*c + 2453. Let p be s(35). What is the greatest common factor of p and 29? 29 Let s be -83 - -74 - (-665)/1. Suppose 4*k - 58 = 106. What is the highest common factor of s and k? 41 Let x be (-7)/49 + 338/14. Suppose -4*n - 5 + 13 = 0. Suppose -8 = n*c - 20. What is the greatest common divisor of x and c? 6 Let d(k) = -19*k + 241. Let c be d(9). Suppose 0 = 4*y - c + 18. Calculate the highest common factor of 26 and y. 13 Let w = -65 + 39. Let o = 53 - w. Let s = 38 + o. What is the highest common factor of 13 and s? 13 Let j be 4*(-3)/30*5*(-2 - 1622). Calculate the highest common divisor of j and 87. 29 Suppose 4*j + 4 = 0, 2194 + 157 = 4*l + j. Let r = l + -163. Calculate the highest common divisor of 17 and r. 17 Suppose 0 = -5*n + 2*u + 4890, 0 = -n - 4*u + 1274 - 318. What is the highest common divisor of n and 183? 61 Let v(p) = -p**3 - 2*p**2 + 366*p + 187. Let n be v(0). Suppose 7*i - 4*i = 165. Calculate the highest common divisor of i and n. 11 Let u(j) = 12*j**2 + 10*j + 83. Let h = -262 + 256. Let c be u(h). What is the highest common factor of c and 35? 35 Suppose 4*w - 120 = 3*a, -119 = -5*w - 423*a + 419*a. Calculate the greatest common factor of w and 1512. 27 Let d = -32067 + 32097. Let g be ((-6)/4)/(2/(-8)). What is the highest common divisor of d and g? 6 Let f(n) = n**2 - n + 8. Let v be f(0). Suppose 0 = -2*o - 0. Suppose o = 11*r + 6*r - 408. What is the greatest common divisor of v and r? 8 Suppose -4*p = -p - 261. Calculate the highest common divisor of 1392 and p. 87 Let r(k) = -k**3 - k**2 + 20. Let n be r(0). Suppose 5*p = -2*q + 508, -8 = q - 12. Calculate the highest common divisor of p and n. 20 Let m(r) = 21*r - 191. Let g = -212 + 247. Let n be m(g). Calculate the highest common factor of 68 and n. 68 Suppose 76*n - 6031 - 1873 = 0. Calculate the highest common divisor of n and 2678. 26 Let w be (6/24)/((-6)/(-48)). Suppose 3*x = -3*q, q - 2*x - 8 = -w. What is the highest common factor of 38 and q? 2 Let b be 2 + 4/(-3) + 67/3. Suppose -28*g + b*g = -20. Suppose -g*m = -105 - 7. Calculate the greatest common divisor of m and 196. 28 Let p = -11697 - -11709. Calculate the highest common factor of 3804 and p. 12 Let t(u) = u**2 - 9*u - 15. Let d be t(11). Let p(v) = v**3 - 8*v**2 + 12*v - 32. Let b be p(d). Calculate the highest common factor of 60 and b. 3 Suppose -24*c + 261 = 933. Let f be 2/(16/60*(-6)/c). Calculate the greatest common factor of 21 and f. 7 Suppose 3*o = -4*m + 10411, 3*o - 3*m - 6918 = o. Suppose 11*v = -0*v + o. What is the greatest common divisor of v and 35? 35 Let d = 173 - 169. Suppose 0 = -d*m, -8*h + 3*h = -m - 1410. Calculate the highest common factor of h and 12. 6 Let y(t) = 277 - 492 - t + 361. Let r be y(23). What is the highest common divisor of 3 and r? 3 Let c(t) = -t**3 + 7*t**2 - t + 10. Let z be ((-3)/6 - 6/(-4)) + 13. Suppose 0 = 12*w - z*w + 10. Let m be c(w). What is the greatest common factor of m and 22? 11 Let c = 11732 + -8120. Calculate the greatest common factor of 252 and c. 84 Let z be (-1 + 4 + 1)*((25 - 12) + 10). What is the greatest common factor of 11500 and z? 92 Let x = -4672 - -14914. What is the greatest common factor of 18 and x? 18 Suppose 5*i + c = 145, -10*i + 2*c + 46 = -8*i. Calculate the greatest common divisor of i and 6356. 28 Let r be 15/18*(-16)/56*-19509. What is the greatest common factor of 35 and r? 5 Suppose -t + 3*v + 22 = 0, -3*t - 171*v + 46 = -170*v. What is the greatest common factor of t and 1032? 8 Suppose 4*p = 20, 0*p + 9 = -2*n + 5*p. Suppose 6*q - n*q = 0. Suppose 4*b - 11 - 49 = q. Calculate the greatest common factor of b and 60. 15 Suppose 2*m = -5*a + 130, 13*m + 71 = 2*a + 10*m. Let u(i) = -i**2 + 6*i + 7. Let p be u(6). What is the highest common divisor of a and p? 7 Let z(h) = h + 2. Let j be z(10). Let r(b) = b**2 - 14*b + 5. Let d be r(11). Let a = d - -31. Calculate the greatest common factor of a and j. 3 Let r = -627 - -629. Let g be 1766/7 - r*8/56. Calculate the highest common divisor of g and 21. 21 Let j(s) = 564*s - 5630. Let u be j(10). Suppose 0 = 4*v + 30 - 10, -70 = -b + 5*v. What is the greatest common divisor of u and b? 5 Suppose -69*j + 159*j = 2430. Let f(u) = 25*u**2 + 3*u - 1. Let n be f(-4). Calculate the greatest common factor of j and n. 9 Let c be (6 - 5)*2*-1. Let l be (17 - 7)/(c/(-3)). Let h(b) = b**3 - 15*b**2 + 2*b - 19. Let k be h(l). Calculate the greatest common factor of 11 and k. 11 Let h be (-4633 - (4 + -6))/(1*-1). Suppose h = -3*q - 4153. Let r be q/(-15) + 1*(-1)/5. What is the greatest common factor of r and 78? 39 Let v = 47613 + -47078. What is the highest common divisor of 8881 and v? 107 Suppose 7*h = -2*h - h + 210. Calculate the greatest common divisor of h and 345. 3 Let o = -27 + 66. Let i(u) = -2*u**3 + 19*u**2 - 9*u + 5. Let n be i(9). Suppose -n*m + 266 + 1099 = 0. What is the greatest common divisor of o and m? 39 Suppose 5*k + 11 = -4*p - 9, -4*k = -2*p - 10. Suppose k = 11*y - 69 + 3. Suppose 1323 = -3*q + y*q. Calculate the highest common factor of q and 49. 49 Let h = -45 - -40. Let d be ((-357)/6)/(1*h/10). Suppose -f = 2*c - 84, -4*f + d + 217 = c. Calculate the highest common divisor of 12 and f. 12 Suppose -5*q + 31 = -29. Suppose 4*p + 34 - 787 = 5*n, -p - 2*n = -198. What is the highest common divisor of q and p? 12 Let n be (-120)/96 + (-58159)/(-76). What is the highest common factor of n and 52? 4 Let f(m) = m + 2. Let g be f(14). Let p = -19 + 74. Let y = p + -39. What is the highest common factor of y and g? 16 Suppose -p + 1288 = -2*k, 5*p - 5*k - 6382 = 38. Calculate the highest common factor of 2816 and p. 256 Suppose -23*g + 610 + 3190 = 764. Calculate the highest common factor of 2156 and g. 44 Let a(t) = 0*t - 5*t - 8 + 5*t - 2*t. Let f be a(-7). Let u(k) = 4*k + 28. Let d be u(2). Calculate the highest common factor of f and d. 6 Let f(p) = 10*p**3 - 4*p**2 - 13*p - 3. Let v be f(6). Calculate the highest common factor of v and 45. 45 Suppose 635*n - 619*n - 409760 = 0. What is the greatest common divisor of 130 and n? 130 Suppose 0 = 22*i - 28*i + 30. Suppose 2*n - 4*z + 6*z = 68, -3*n = -i*z - 110. What is the highest common factor of n and 105? 35 Suppose -i + 2*i = -270. Let u = 460 + i. What is the greatest common divisor of 152 and u? 38 Let j(f) = f**3 - 47*f**2 + 249*f - 78. Let u be j(41). Let k(y) = y**2 + 105. Let t be k(0). Calculate the highest common factor of u and t. 15 Let p(a) = -16*a + 2. Let k be p(0). Suppose k*s - 4*m - 90 = 0, 5*m = -s - 0*m + 10. What is the greatest common divisor of s and 35? 35 Let q(x) = 8*x - 53. Let s be q(7). Suppose -2*v - 4 = 0, -s*v = -4*t + 2*v + 22. What is the greatest common divisor of 15 and t? 3 Let u(a) = -3*a**2 - 50*a - 12. Let b be u(-8). Suppose b - 16 = 4*n. What is the greatest common factor of 495 and n? 45 Let x be (0 - 1)/((-16)/5632). What is the greatest common factor of x and 256? 32 Let g = 5724 + -5575. Calculate the greatest common factor of 27267 and g. 149 Let d be 472/5 - (-4 - (-44)/10). Let u be (-11)/(-3)*(d + -13). Suppose -6*o = -8*o + 54. What is the highest common divisor of u and o? 27 Let g be (9/(-6) - (-618)/36)*15. Suppose -q + 2*q = 94. Calculate the highest common divisor of q and g. 47 Let b(p) = p**2 + 14*p - 47. Let t be b(-16). Let y = 18 + t. Suppose 0 = -y*o - 95 + 104. What is the greatest common factor of o and 33? 3 Let u(n) = -n**2 + 6*n + 15. Let p be u(-3). Let q = p + 556. Suppose 2*i - i - 4*t = q, -2*t - 1064 = -2*i. Calculate the greatest common factor of i and 48. 48 Suppose 2*n - 1047 = -359. Let j = 362 - n. Calculate the highest common factor of j and 6. 6 Suppose 36*c - 559 = -7*c + 215. Suppose -4*r = f + r + 21, f = 5*r - 71. Let g be f/(-8) - 4/(-16). What is the highest common factor of g and c? 6 Suppose -63 = -c - 5*q, 9*q - 7*q - 4 = 0. Let d = 223 - c. What is the highest common factor of d and 20? 10 Suppose 3*f + 50 = 2*p, 5*p = 16*f - 15*f + 112. Let k = -4 + 59. Calculate the highest common factor of p and k. 11 Suppose -9*c = -20*c + 2563. Let s = 301 - c. What is the greatest common divisor of 17 and s? 17 Let z be (-6)/(-72)*-4*315. Let d(n) = n**3 - 4*n**2 - 4*n. Let k be d(
{ "pile_set_name": "DM Mathematics" }
nds digit of 613273? 1 What is the ten thousands digit of 1725727? 2 What is the hundred thousands digit of 286897? 2 What is the thousands digit of 2627863? 7 What is the hundred thousands digit of 2278028? 2 What is the tens digit of 11791456? 5 What is the tens digit of 4217362? 6 What is the hundred thousands digit of 194586? 1 What is the hundreds digit of 9649054? 0 What is the hundred thousands digit of 4253638? 2 What is the thousands digit of 41722? 1 What is the units digit of 365834? 4 What is the thousands digit of 2657235? 7 What is the units digit of 1257422? 2 What is the tens digit of 41334? 3 What is the tens digit of 420355? 5 What is the ten thousands digit of 2496410? 9 What is the hundreds digit of 29039572? 5 What is the tens digit of 43112? 1 What is the hundred thousands digit of 324608? 3 What is the tens digit of 2847256? 5 What is the units digit of 323653? 3 What is the hundreds digit of 201505? 5 What is the units digit of 4841365? 5 What is the tens digit of 62648? 4 What is the ten thousands digit of 1095055? 9 What is the units digit of 3622533? 3 What is the hundreds digit of 38736484? 4 What is the units digit of 3988? 8 What is the hundred thousands digit of 248466? 2 What is the thousands digit of 17941940? 1 What is the hundreds digit of 7597151? 1 What is the millions digit of 4631616? 4 What is the hundred thousands digit of 4421787? 4 What is the thousands digit of 2186194? 6 What is the tens digit of 20371128? 2 What is the units digit of 12150302? 2 What is the hundred thousands digit of 8215449? 2 What is the ten millions digit of 16962176? 1 What is the hundred thousands digit of 2399358? 3 What is the ten millions digit of 13115067? 1 What is the ten thousands digit of 51254? 5 What is the hundred thousands digit of 3370718? 3 What is the tens digit of 221611? 1 What is the thousands digit of 398815? 8 What is the ten thousands digit of 1525415? 2 What is the tens digit of 20485536? 3 What is the thousands digit of 2903438? 3 What is the hundred thousands digit of 1044461? 0 What is the thousands digit of 58528? 8 What is the hundred thousands digit of 566100? 5 What is the ten thousands digit of 172229? 7 What is the tens digit of 288264? 6 What is the ten thousands digit of 697793? 9 What is the tens digit of 880284? 8 What is the ten thousands digit of 87302? 8 What is the thousands digit of 167072? 7 What is the tens digit of 345056? 5 What is the hundreds digit of 90650? 6 What is the hundred thousands digit of 842862? 8 What is the tens digit of 10831638? 3 What is the hundred thousands digit of 197444? 1 What is the thousands digit of 679090? 9 What is the millions digit of 1495526? 1 What is the hundreds digit of 1911478? 4 What is the ten thousands digit of 1190134? 9 What is the hundreds digit of 1565807? 8 What is the ten thousands digit of 1151189? 5 What is the thousands digit of 638597? 8 What is the hundred thousands digit of 332478? 3 What is the units digit of 2400782? 2 What is the ten thousands digit of 5587665? 8 What is the tens digit of 901259? 5 What is the thousands digit of 76781? 6 What is the thousands digit of 5336800? 6 What is the millions digit of 5133256? 5 What is the ten millions digit of 23095017? 2 What is the units digit of 4717219? 9 What is the tens digit of 23274? 7 What is the tens digit of 183843? 4 What is the hundreds digit of 276152? 1 What is the tens digit of 5355? 5 What is the hundreds digit of 1765723? 7 What is the millions digit of 2698102? 2 What is the hundreds digit of 32097705? 7 What is the units digit of 2934? 4 What is the hundreds digit of 4558916? 9 What is the hundreds digit of 11306965? 9 What is the ten thousands digit of 1447529? 4 What is the hundreds digit of 838633? 6 What is the tens digit of 2908310? 1 What is the ten thousands digit of 885037? 8 What is the ten thousands digit of 891576? 9 What is the ten thousands digit of 56729? 5 What is the thousands digit of 51441? 1 What is the hundreds digit of 51733? 7 What is the units digit of 31023908? 8 What is the thousands digit of 106148? 6 What is the hundreds digit of 1113337? 3 What is the hundreds digit of 461956? 9 What is the tens digit of 117899? 9 What is the millions digit of 4522126? 4 What is the tens digit of 17496? 9 What is the hundreds digit of 799240? 2 What is the thousands digit of 1557046? 7 What is the ten thousands digit of 28056479? 5 What is the hundreds digit of 257140? 1 What is the hundred thousands digit of 734646? 7 What is the units digit of 117296? 6 What is the hundred thousands digit of 239988? 2 What is the millions digit of 12021843? 2 What is the thousands digit of 549785? 9 What is the thousands digit of 1610532? 0 What is the tens digit of 1399433? 3 What is the ten thousands digit of 557670? 5 What is the hundred thousands digit of 198356? 1 What is the ten thousands digit of 140129? 4 What is the ten thousands digit of 634241? 3 What is the ten thousands digit of 2900832? 0 What is the thousands digit of 1768241? 8 What is the tens digit of 24790? 9 What is the thousands digit of 349742? 9 What is the thousands digit of 7951082? 1 What is the ten thousands digit of 28214? 2 What is the hundreds digit of 104811? 8 What is the units digit of 3864792? 2 What is the hundreds digit of 147266? 2 What is the millions digit of 1440040? 1 What is the units digit of 158611? 1 What is the tens digit of 910415? 1 What is the units digit of 331184? 4 What is the tens digit of 10739985? 8 What is the tens digit of 8528737? 3 What is the hundreds digit of 2628021? 0 What is the hundred thousands digit of 3521221? 5 What is the ten thousands digit of 4557542? 5 What is the units digit of 1712851? 1 What is the tens digit of 292321? 2 What is the tens digit of 989422? 2 What is the ten thousands digit of 17313842? 1 What is the tens digit of 177051? 5 What is the ten thousands digit of 36821215? 2 What is the tens digit of 237227? 2 What is the tens digit of 2040110? 1 What is the millions digit of 1192543? 1 What is the ten thousands digit of 129621? 2 What is the thousands digit of 21855323? 5 What is the ten thousands digit of 501799? 0 What is the hundred thousands digit of 26177397? 1 What is the tens digit of 5409612? 1 What is the ten thousands digit of 2068739? 6 What is the hundreds digit of 3435707? 7 What is the hundreds digit of 459073? 0 What is the tens digit of 224551? 5 What is the ten thousands digit of 984242? 8 What is the tens digit of 47663? 6 What is the ten thousands digit of 91988? 9 What is the ten thousands digit of 8413216? 1 What is the ten thousands digit of 331451? 3 What is the thousands digit of 217341? 7 What is the thousands digit of 31409? 1 What is the thousands digit of 260673? 0 What is the units digit of 2805667? 7 What is the units digit of 2803860? 0 What is the thousands digit of 11052258? 2 What is the tens digit of 195161? 6 What is the millions digit of 4302201? 4 What is the millions digit of 1407353? 1 What is the hundred thousands digit of 269638? 2 What is the hundreds digit of 535989? 9 What is the thousands digit of 4136953? 6 What is the hundreds digit of 220553? 5 What is the thousands digit of 5725638? 5 What is the tens digit of 37488? 8 What is the hundred thousands digit of 377842? 3 What is the ten millions digit of 12525216? 1 What is the thousands digit of 1011891? 1 What is the ten thousands digit of 684741? 8 What is the thousands digit of 13139062? 9 What is the ten thousands digit of 14517? 1 What is the hundred thousands digit of 2958998? 9 What is the thousands digit of 187561? 7 What is the tens digit of 839115? 1 What is the tens digit of 19897? 9 What is the hundreds digit of 2422570? 5 What is the hundreds digit of 144207? 2 What is the thousands digit of 27745888? 5 What is the millions digit of 14523322? 4 What is the ten thousands digit of 4526720? 2 What is the ten thousands digit of 1471181? 7 What is the millions digit of 4242431? 4 What is the hundred thousands digit of 113217? 1 What is the hundreds digit of 12010869? 8 What is the hundred thousands digit of 3290053? 2 What is the hundred thousands digit of 573319? 5 What is the tens digit of 67393? 9 What is the tens digit of 1
{ "pile_set_name": "DM Mathematics" }
fy (y*y**(-2/5)/y*y*((y/y**(1/12))/y)/y)**(1/19)/((y/y**(-2/5)*y**(-1/7)*y*y)/(y*y**(-6)*y**(-7/5))) assuming y is positive. y**(-77267/7980) Simplify n**(-3/5)*n/(n*n*n**(4/7))*n*n**4*n*n/n**(3/2)*n*n**7*(n*n**(2/15))/n*n/(n*n**(1/11))*n/(n**(-2)/n) assuming n is positive. n**(35507/2310) Simplify (j*(j/(j*j**(-6/25))*j*j)/j*j**(-2/9)*(j**(-26))**(19/2))**(-15) assuming j is positive. j**(55121/15) Simplify ((u**(-7/8)*u*u/((u*u**(-27))/u))/(u*u**(2/29)*u**(-2/5)))**(-35) assuming u is positive. u**(-222943/232) Simplify ((g**3*g**4*g*(g*g**(2/7))/(g*g**5/g))**(-14))**(-3/22) assuming g is positive. g**(90/11) Simplify (d*d*d**(-1)*d**(1/5))/(d**(-7)/((d**(1/6)/d)/d))*(d*d*d/(((d**(1/3)/d)/d)/d))**(-4/35)*d**(-4)*d**(-5) assuming d is positive. d**(-689/210) Simplify (d*d**(-1/2)*d*d)**(-9/2)*((d*d**(2/3))/d)/(d**(-1)*d)*(d**(2/11)*d*d*d/d**(1/5)*d)/((d/(d**2/d))/d**(-6)) assuming d is positive. d**(-8317/660) Simplify ((o*o**(2/5))**24)**(20/3)*(((o*o/(o**7/o))/o*o)/(o/o**(-4/7)))**(2/75) assuming o is positive. o**(39174/175) Simplify c/(c/c**6)*c*(c*c*c**(-1)/c)/c*c**7/(c/(c**(7/4)*c))*(c**(-1)/c)/(c/c**2*c)*c**(2/7)/c**(1/7) assuming c is positive. c**(361/28) Simplify ((h/h**(-2/7))**(-9/2)*(h*h**(2/7))**44)/(h**(-2)/h**(-1)*(h*h/h**0)**25) assuming h is positive. h**(25/14) Simplify (((i*i/i**8)/i)/(i*i*i/i**(-1/11))*i**(-1/3)*i*(i/i**5)/i)**(-29) assuming i is positive. i**(13804/33) Simplify (((z/(z*z**(3/5)))/z*z**(3/5)*z*z**(-8)*z/(z**3/z))**(-32))**39 assuming z is positive. z**11232 Simplify ((s/((s/(s*s/(s**(-26)*s)*s))/s*s))/s**(-11))/(s**5/((s/(s/(s*(s*s**1)/s*s)))/s)) assuming s is positive. s**36 Simplify ((((u/(u/(u*u/(u/(u/u**20)*u))*u))**1)**(4/17))**(-47))**9 assuming u is positive. u**(33840/17) Simplify ((k*k*k**1)**13/(k**16)**(-2/47))**30 assuming k is positive. k**(55950/47) Simplify (c/(c*c**(-37)))/c*((c**37/c)/c)/c*c*c*(c**13)**(-42) assuming c is positive. c**(-474) Simplify ((i*i*(i*i/((i*i**13)/i*i))/i*i)**(1/27)/((i**25/i)/i**(-4/13)))**50 assuming i is positive. i**(-433100/351) Simplify ((c*c**6*c*c/c**(-2/23))/(c**(2/29)/c**(1/2)))**44 assuming c is positive. c**(279334/667) Simplify ((v**(-1/41)*v**32)/(v**(4/5)*v/(v*v**30)))**(-1/14) assuming v is positive. v**(-12541/2870) Simplify (((m**(4/7)*m)/m)/((m*(m/m**2)/m)/m))/(m/(m*m/((m/((m/m**(2/5))/m))/m))*m/m**0)*((m**1/m)/m*m*m*m*m**(4/3))/(m*m**1/m)**(-6/5) assuming m is positive. m**(704/105) Simplify (q*q**10*q*q**(-2/35))/(q*q**(5/3))**(9/10) assuming q is positive. q**(334/35) Simplify (n**(2/7)/(((n*n**(3/7)/n)/n)/n))/((n*n/n**4)/(((n/n**6)/n)/n))*(n**1)**(-47)/((n*n/n**0*n*n*n)/n)**33 assuming n is positive. n**(-1275/7) Simplify (i*i/i**4*i**1)/(i/i**(-2)*i**(-2/3)/i)*(i**(-5)*i**(-4/3)*i)/(i*i*i/i**1*i*i*i/(i**0*i)) assuming i is positive. i**(-35/3) Simplify (i**13)**(-25)*i**(1/7)/(i*i/(i/(i**(-1/2)/i))*i*i) assuming i is positive. i**(-4569/14) Simplify ((y**6/y)**30*(y/y**(-1/8))/(y**10/y))**(-10) assuming y is positive. y**(-5685/4) Simplify ((x**(-3)/x)**(-19))**(3/14)/((x*x**(8/3)*x*x/(x*x**4))/(x*x**(-1/3)/x)**(-14/3)) assuming x is positive. x**(1082/63) Simplify ((f**35/((f/((f/(f*f*f**(-1)*f*f)*f)/f))/f))**(-2/125))**15 assuming f is positive. f**(-198/25) Simplify (((t*t**(-1))/t**(2/17))/(t**1)**(2/17))/((t/t**(-1/3)*t)**(1/9)*(t*t**(-1/5)/t)/(t*t*t*t*t*t*t**(1/3)*t)) assuming t is positive. t**(16154/2295) Simplify (a**(-1/4)*a*a**6*a**2*a*a**(-1/2))/((a*(a/(((a**(-2)/a)/a)/a))/a)/(a**(-1/3)/a)*(a*a*a**(-1/3))/(((a**(-2/5)*a)/a)/a)) assuming a is positive. a**(-23/20) Simplify ((a**(2/5)*a/a**0*a*a)/(a/(a*a**(1/4))*a/(a*a*a*(a/a**5)/a*a)))/((a/(a*(a/a**(-5))/a*a)*a**4*a*a)/(a**(-2/21)/(a/a**5))) assuming a is positive. a**(2333/420) Simplify (h**(2/5))**16/((h/(h/h**(-4))*h)/(h/h**2))*(h/(h/((h**(-1)/h)/h)))/h**(-7)*(h/(h*h*h**(-2/5)))**45 assuming h is positive. h**(-73/5) Simplify ((m/m**(-5/3))/m**1*m*m**(2/17)*m*m/(m*m**(-2/5)))/((m*(m/(m**1/m))/m)**(-16/9)/(m**(-2)/(m*(m**(-1/2)*m*m*m)/m*m*m*m))) assuming m is positive. m**(-2353/1530) Simplify ((t**29/t*t*(t*t*t**(-6)*t*t)/t)/(t/(t*t*t**(1/26))*t)**20)**(-22) assuming t is positive. t**(-7656/13) Simplify (((f**(2/7)/f)**(2/3))**(-22))**(-35) assuming f is positive. f**(-1100/3) Simplify ((g**(-3/5)*g**4*(g/g**(-2/7))**(1/3))**(-10/11))**(2/27) assuming g is positive. g**(-536/2079) Simplify ((f**(-3/16)*(f/(f/(f/f**17)))/f)/(f**(-1)*f**(-1/13)))**39 assuming f is positive. f**(-10053/16) Simplify (((d**(-1/2))**(-3/26)/((d**6/d)/d**(4/13)))**(-1/16))**50 assuming d is positive. d**(6025/416) Simplify ((t**(-1/9)/(t*(t**(-20)*t)/t))/((t/t**(9/4))/(t**0*t)))**(-4/17) assuming t is positive. t**(-761/153) Simplify w**(2/5)/((w*w*(w/w**33)/w)/w)*(w*w*w**(2/99))/(w/w**(-10/7)) assuming w is positive. w**(110851/3465) Simplify (j**(1/2)/j*j*j*j/((j**(-3/11)*j)/j*j)*((j/j**(-6/5)*j)/j*j)/j*j**0/j)**30 assuming j is positive. j**(981/11) Simplify (((t*t**(1/46)*t*t)/(t/t**(-21)))/(t*t**(-7)*t)**(-2/159))**(-5/2) assuming t is positive. t**(696335/14628) Simplify (j/((j*j/((j**0/j)/j*j)*j)/j))**30*(j**0)**(-4/5)*(j*j**(-1/4)*j**(3/8)/j)/(j**1)**(7/5) assuming j is positive. j**(-2451/40) Simplify (z**(-24)/z**5*z*(z/(z*z**(-25)))/z*z*z**11)**2 assuming z is positive. z**16 Simplify ((((s/((((s/(s**(-2/7)*s*s*s))/s)/s*s)/s*s))/(s*s**6))/(s**(-5)*s*s*s*s**(-2/5)*s))**(-1/50))**9 assuming s is positive. s**(297/875) Simplify (w**0/(w*w*w/((w*w**(-4))/w)))/(((w/w**(-4))/w)/w*(w*w*w**7)/w)*(w**(1/7)*w/(w/(w**(-5/3)*w))*w)/(w**(-1))**(-39) assuming w is positive. w**(-1187/21) Simplify (((r/r**6*r/(((((r**1/r)/r)/r*r)/r)/r*r))/(r**(3/7)*r*r**3))**0)**(-4/11) assuming r is positive. 1 Simplify ((t*t**(-2/131))/(t*(t/t**(1/2))/t*t)*(t/t**(3/7))**(-6/13))**(8/5) assuming t is positive. t**(-74292/59605) Simplify ((b**4/b)/(b**(-1/7)*b))**(-7/3)/((b*(b*b**(-2/3)/b*b*b*b)/b)**(-7/10)/(b*b*b/(b**(2/7)/b*b*b)*b**(3/7))) assuming b is positive. b**(-257/210) Simplify ((p**(-2/7))**31*p*p**18*p*p*p/(p/(p*p**(-8)*p)))**(2/39) assuming p is positive. p**(86/273) Simplify ((g**(3/5)*g*g**4)/(g**(-4)*g**(-1/9)))/((g/g**(-2))**(-30))**(8/11) assuming g is positive. g**(37207/495) Simplify (((h/(h*h**8)*h)/h*h*h*h**(-8)/h*(h**(-1/4)/h*h)**6)**(-2/53))**(2/15) assuming h is positive. h**(22/265) Simplify (c**2)**(-2/17)/(c**3*c**7)*c/c**8*c**(-2/7)*c*(c**(-2/5)*c)**(-39) assuming c is positive. c**(-23753/595) Simplify (((h/(h**6*h))/(h*h*h**(3/2)*h))/((h/(h*h/h**(-2/15)))/h**(2/3)))/(h**(-2)/(h*h*h/h**(-4))*(h**0/h)**22) assuming h is positive. h**(223/10) Simplify (v**(1/16)*(v*v**(-13))/v*v*v**(-7)*v*v**(-8/9)*v)**(-10) assuming v is positive. v**(12835/72) Simplify ((d*d/(d**(-2/9)/d))/d)**(-23)*d*d**(3/7)*d*d*(d*d**(-4))/d*d*d*d*(d*d/(d/d**(5/4))*d*d*d**(-4/5))**(-1/17) assuming d is positive. d**(-1047127/21420) Simplify (s**(-9)/(s*s*s**(-6)*s))**50*(s/(s*s*s*s**(2/3)*s))**(-11)*s**7/((s/(s*(s*s**(1/4))/s))/s) assuming s is positive. s**(-3017/12) Simplify (v**(2/3)/v*v**(-2)/v*v*v)**8*(v**(-4)/v*v/(v**(-5)/v))/(v**(-1/3)/v*v)**(-10) assuming v is positive. v**(-12) Simplify (((y/(y/y**(2/5)))**38*((y/(y*y*y**1*y*y)*y)/y)/(y*y*y**(-2/13)/y*y))**(-11/4))**(-1/30) assuming y is positive. y**(836/975) Simplify ((((c**0*c)**(-3))**(-1/22))**(-36))**42 assuming c is positive. c**(-2268/11) Simplify ((r**(2/5))**(-7/2))**(-17)/(r*r**(1/10)*r*(((r*r*r**(-1/3))/r)/r)/r)**(-47) assuming r is positive. r**(359/6) Simplify (r*r/(r*r*r/r**34)*r*(r**37*r)/r)/(((r*r**(13/4))/r)/r**(-8/13)) assuming r is positive. r**(3491/52) Simplify ((((u/(u**(-2/13)/u*u))/u*u/(u*(u*u**(10/7))/u))**(-12))**(-12/5))**(-1/36) assuming u is positive. u**(464/455) Simplify ((y*((y**(4/3)/y)/y*y)/y)/(((y/(y/y**0)*y)/y*y)/y))/((y/(y**0*y))/y)**(1/45)*((y/(y/y**(2/3)))/(y*y/(y/y**(-1/3)*y)))**(-46) assuming y is positive. y**(-2054/45) Simplify ((c*c**(-2))/c*c*c**14/c*(((c/((c*c**(-1/5))/c*c))/c)/c)/(((c/(c**(12/7)*c))/c)/c))**(-9) assuming c is positive. c**(-4383/35) Simplify (((s**(4/5)*s)/s)**(3/20)*(s*s**26)**(-9))**(-3/37) assuming s is positive. s**(18216/925) Simplify ((((y**(-2/11)*y)/y*y/y**4)/(y**(1/5)/(y/(y**(-3)/y)*y)))**(6/25))**37 assuming y is positive. y**(31968/1375) Simplify ((t**(-11))**(5/6)*(t**(-12))**20)**
{ "pile_set_name": "DM Mathematics" }
n factor of 1556 and 25504396. 1556 Calculate the highest common divisor of 7095 and 10792785. 645 What is the highest common factor of 3363199 and 2337746? 7171 What is the highest common factor of 355248834 and 1506? 1506 Calculate the highest common factor of 20676 and 11064. 12 What is the highest common divisor of 5 and 1333964240? 5 Calculate the highest common factor of 18468 and 2140388. 76 Calculate the greatest common factor of 3164 and 1369396. 28 Calculate the greatest common divisor of 2 and 16306. 2 What is the highest common factor of 13 and 1615400475? 13 Calculate the greatest common divisor of 889820 and 580. 20 What is the highest common divisor of 42 and 27345801? 21 What is the greatest common divisor of 9993314 and 238? 34 Calculate the greatest common divisor of 27429048 and 40. 8 What is the greatest common factor of 4221 and 943159? 469 Calculate the highest common factor of 26 and 647097802. 26 What is the highest common divisor of 7334608 and 4628704? 6992 Calculate the greatest common factor of 142846 and 10102202. 3322 Calculate the highest common factor of 19969 and 4655. 19 What is the highest common divisor of 1257 and 4888054? 419 Calculate the highest common divisor of 2538 and 15330789. 1269 Calculate the highest common factor of 240 and 35723920. 80 What is the greatest common divisor of 12814 and 99502? 86 What is the greatest common divisor of 17224 and 4247869? 2153 Calculate the greatest common factor of 6457296 and 4002. 138 What is the greatest common divisor of 323358464 and 1040? 208 What is the highest common factor of 261 and 235075131? 261 What is the greatest common factor of 22997601 and 954? 477 What is the greatest common divisor of 100233689 and 97? 97 Calculate the highest common divisor of 118048596 and 848. 212 Calculate the highest common factor of 3436 and 7790271. 859 What is the highest common factor of 81484 and 5172667? 1567 Calculate the highest common factor of 132 and 34243. 11 Calculate the greatest common divisor of 8 and 116449888. 8 Calculate the greatest common factor of 117 and 15786537. 39 Calculate the greatest common divisor of 147828 and 23876. 508 Calculate the greatest common divisor of 4720 and 191120470. 590 Calculate the highest common factor of 630119703 and 53. 53 Calculate the greatest common factor of 4590302 and 282752. 4418 What is the highest common factor of 142701 and 2754? 3 What is the greatest common divisor of 360 and 50598360? 360 Calculate the greatest common factor of 4716591 and 20163. 1551 What is the greatest common divisor of 63 and 14646912? 21 Calculate the highest common divisor of 340 and 240535. 5 What is the greatest common factor of 22659 and 21504? 21 What is the greatest common divisor of 28 and 22119860? 28 What is the greatest common divisor of 3106218 and 61774? 922 What is the highest common factor of 2551 and 796705361? 2551 What is the highest common factor of 18898068 and 6? 6 Calculate the highest common divisor of 70836404 and 2316. 772 Calculate the greatest common divisor of 5395 and 19630. 65 Calculate the greatest common factor of 539046 and 7. 1 What is the greatest common divisor of 23800 and 11944? 8 Calculate the greatest common divisor of 326124 and 175572. 36 Calculate the highest common divisor of 619522956 and 4797. 4797 Calculate the greatest common factor of 228 and 6041532. 12 What is the highest common factor of 148627991 and 34? 17 Calculate the highest common divisor of 18393406 and 608. 38 Calculate the greatest common factor of 1564 and 2172277. 17 What is the greatest common factor of 216198657 and 28584? 3573 What is the highest common factor of 109890074 and 102? 34 Calculate the highest common divisor of 1440027 and 57276. 387 Calculate the greatest common divisor of 47641549 and 301. 43 What is the highest common divisor of 7548762 and 624? 78 Calculate the greatest common divisor of 2612050 and 5236. 238 Calculate the greatest common divisor of 11075592 and 60. 12 What is the highest common divisor of 112877624 and 16? 8 Calculate the highest common divisor of 1131 and 617513. 13 What is the highest common divisor of 190 and 472620? 10 Calculate the highest common factor of 180120692 and 542. 542 What is the highest common divisor of 2966886 and 143? 13 What is the highest common divisor of 233604 and 100926? 1134 Calculate the greatest common factor of 17016 and 21954. 6 What is the greatest common divisor of 9351 and 1368? 9 Calculate the greatest common divisor of 16094 and 2899. 13 What is the greatest common divisor of 166218772 and 4? 4 What is the greatest common factor of 1788866 and 1662? 554 Calculate the greatest common factor of 12965935 and 5. 5 Calculate the greatest common factor of 135 and 488535. 15 What is the greatest common divisor of 384 and 1608450? 6 What is the highest common divisor of 3691872 and 6102? 54 What is the greatest common divisor of 11124 and 53028? 108 Calculate the greatest common divisor of 14717682 and 103887. 1071 What is the greatest common factor of 71839 and 1558437? 361 What is the greatest common factor of 6797030 and 730? 730 Calculate the highest common factor of 238 and 264754. 14 What is the highest common divisor of 14385 and 39552? 3 Calculate the highest common factor of 1675180 and 949. 13 What is the greatest common factor of 13926473 and 22? 11 Calculate the highest common factor of 5921 and 54965407. 191 Calculate the highest common factor of 65773008 and 60. 12 What is the highest common divisor of 29514470 and 3277? 113 What is the greatest common factor of 28582077 and 138? 69 Calculate the greatest common factor of 18704 and 823312. 112 Calculate the highest common divisor of 1093 and 10626146. 1093 What is the greatest common divisor of 9037446 and 6991974? 9834 What is the highest common factor of 192063 and 2263? 73 Calculate the greatest common divisor of 15704 and 1140805. 151 What is the greatest common factor of 38969 and 224371? 133 Calculate the highest common divisor of 233158093 and 1337. 1337 What is the highest common factor of 197276445 and 7923? 417 Calculate the highest common factor of 462 and 609378. 462 Calculate the highest common divisor of 37801253 and 20251. 1841 Calculate the highest common factor of 1327153 and 5587. 37 Calculate the greatest common factor of 9 and 35021583. 9 What is the highest common factor of 28215878 and 801562? 4478 What is the highest common divisor of 29464 and 441621164? 14732 Calculate the highest common divisor of 2499 and 508249119. 2499 Calculate the highest common divisor of 338 and 5315106446. 338 Calculate the highest common divisor of 4996206 and 54. 18 Calculate the highest common divisor of 1496583 and 4653. 99 What is the highest common divisor of 1005514 and 3864? 46 What is the highest common factor of 958493 and 703? 19 What is the greatest common divisor of 21770184 and 928? 232 What is the highest common factor of 117562101 and 57? 57 What is the greatest common divisor of 183 and 46893811? 61 What is the highest common factor of 67 and 170048077? 67 What is the greatest common factor of 1677 and 3154658364? 1677 Calculate the highest common divisor of 206219440 and 56. 56 What is the highest common factor of 13070 and 255050? 10 What is the highest common factor of 4379 and 1010737? 29 Calculate the greatest common divisor of 8639013 and 44799. 327 What is the greatest common factor of 68 and 724128? 4 What is the highest common divisor of 114 and 240666388? 38 Calculate the highest common factor of 5528519 and 1343. 17 What is the greatest common divisor of 15463296 and 1116? 1116 What is the greatest common divisor of 23 and 25635892? 23 What is the highest common factor of 15667580 and 40? 20 What is the greatest common divisor of 6550905 and 45? 15 Calculate the greatest common divisor of 294 and 233256093. 21 Calculate the highest common divisor of 232 and 80861272. 8 Calculate the highest common factor of 11590062 and 3618. 402 Calculate the greatest common factor of 28712981 and 21208. 2651 What is the greatest common factor of 8580512 and 2176? 544 Calculate the highest common factor of 14201 and 42888311. 1291 What is the greatest common divisor of 710 and 34747
{ "pile_set_name": "DM Mathematics" }
alculate the highest common divisor of 155 and 95. 5 What is the greatest common divisor of 484280 and 140? 20 Calculate the greatest common factor of 108 and 17136. 36 What is the highest common factor of 6107 and 3546? 197 What is the greatest common factor of 5775 and 30? 15 Calculate the highest common factor of 1383 and 93. 3 What is the greatest common divisor of 221 and 20434? 17 What is the greatest common factor of 1872 and 4797? 117 What is the highest common factor of 1622929 and 539? 539 What is the highest common factor of 9022 and 1681562? 694 What is the highest common divisor of 28 and 49252? 28 What is the greatest common factor of 53292 and 780? 12 Calculate the greatest common factor of 2710 and 1030. 10 Calculate the highest common factor of 24928 and 14592. 608 Calculate the highest common divisor of 15045 and 553125. 885 Calculate the highest common factor of 340 and 45764. 68 Calculate the highest common factor of 1354383 and 1098. 549 What is the highest common factor of 120076 and 99? 11 Calculate the highest common factor of 140 and 502390. 70 What is the highest common factor of 5763 and 867? 51 Calculate the highest common divisor of 214 and 6741. 107 What is the greatest common divisor of 52 and 364? 52 What is the greatest common divisor of 180 and 232515? 45 What is the greatest common factor of 22953203 and 91? 91 Calculate the greatest common factor of 47344 and 704. 176 What is the greatest common divisor of 111664 and 96? 16 What is the highest common divisor of 815 and 40913? 163 Calculate the highest common factor of 156 and 1374789. 39 Calculate the highest common divisor of 24745 and 245. 245 What is the greatest common factor of 514710 and 10320? 1290 Calculate the highest common divisor of 204351 and 1369. 37 What is the greatest common divisor of 600262 and 26? 26 What is the greatest common factor of 3393 and 783? 261 What is the highest common divisor of 2237314 and 706? 706 What is the greatest common divisor of 20091 and 4107? 111 Calculate the greatest common factor of 27736 and 88. 8 What is the greatest common divisor of 77385 and 1407? 1407 What is the greatest common factor of 20 and 63692? 4 Calculate the highest common divisor of 8383 and 6565. 101 Calculate the greatest common factor of 4251088 and 272. 272 What is the highest common factor of 1416387 and 21? 21 What is the highest common divisor of 2004 and 516? 12 Calculate the greatest common factor of 600075 and 189. 189 Calculate the highest common factor of 2 and 1386194. 2 What is the greatest common factor of 160875 and 42375? 375 What is the greatest common factor of 1275 and 2400? 75 What is the greatest common divisor of 16435 and 10? 5 What is the greatest common divisor of 2944 and 297896? 184 What is the highest common factor of 333960 and 110? 110 Calculate the highest common divisor of 1874654 and 114. 38 What is the greatest common divisor of 627 and 106647? 57 Calculate the greatest common divisor of 23292 and 684. 36 Calculate the highest common factor of 63 and 271677. 21 Calculate the highest common factor of 3825 and 747. 9 Calculate the highest common factor of 1416 and 1888. 472 What is the highest common factor of 34 and 413083? 17 What is the highest common divisor of 2048 and 47232? 128 What is the highest common factor of 410896 and 976? 976 Calculate the greatest common divisor of 25 and 160. 5 What is the greatest common factor of 2283593 and 1105? 221 Calculate the highest common factor of 1750155 and 495. 165 What is the greatest common divisor of 1620 and 1164? 12 What is the highest common factor of 4731 and 48? 3 What is the greatest common divisor of 153725 and 429? 143 What is the greatest common divisor of 239169 and 42? 21 What is the highest common factor of 481926 and 186? 186 Calculate the greatest common divisor of 37008 and 1285. 257 Calculate the greatest common divisor of 2456 and 5225140. 1228 Calculate the highest common divisor of 152664 and 24. 24 Calculate the greatest common divisor of 6523245 and 3. 3 Calculate the highest common factor of 20 and 99695. 5 What is the greatest common factor of 317124 and 19872? 828 Calculate the greatest common factor of 14 and 673127. 7 Calculate the greatest common factor of 207808 and 1910. 382 What is the highest common factor of 126 and 473326? 14 Calculate the greatest common divisor of 1859 and 3. 1 Calculate the highest common divisor of 87 and 1812. 3 What is the highest common factor of 5429 and 712? 89 Calculate the highest common divisor of 3018 and 18. 6 Calculate the highest common divisor of 86230 and 1160. 10 Calculate the greatest common factor of 63424 and 128. 64 What is the greatest common factor of 2739 and 99? 33 What is the greatest common divisor of 960840 and 7480? 680 Calculate the highest common divisor of 1600587 and 243. 27 What is the highest common divisor of 331942 and 1768? 442 Calculate the highest common divisor of 2408 and 74132. 172 Calculate the greatest common factor of 1460 and 2993. 73 What is the highest common factor of 83334 and 561? 51 What is the greatest common divisor of 9874 and 44? 2 Calculate the greatest common divisor of 7452 and 37467. 207 Calculate the greatest common divisor of 384940 and 90. 10 Calculate the greatest common factor of 283 and 604771. 283 Calculate the greatest common factor of 7752 and 748. 68 What is the highest common factor of 4815 and 210? 15 Calculate the highest common divisor of 168 and 4984644. 84 What is the highest common divisor of 1056 and 79728? 528 What is the highest common divisor of 316370 and 15? 5 What is the greatest common factor of 1828 and 2524? 4 Calculate the greatest common factor of 7310 and 544. 34 What is the highest common factor of 83343 and 117? 39 Calculate the highest common divisor of 2090 and 8151. 209 What is the greatest common factor of 251163 and 33? 33 What is the greatest common divisor of 302652 and 72? 36 What is the highest common divisor of 18705 and 2610? 435 Calculate the highest common factor of 13056 and 969. 51 What is the highest common factor of 3761623 and 761? 761 Calculate the highest common divisor of 42624 and 360. 72 What is the greatest common factor of 249872 and 392? 56 Calculate the greatest common divisor of 3762 and 89946. 342 Calculate the greatest common factor of 120212 and 492. 164 Calculate the greatest common factor of 58 and 808. 2 Calculate the highest common divisor of 173088 and 108. 36 Calculate the greatest common factor of 1078 and 1088192. 98 What is the highest common divisor of 3304 and 88087? 59 Calculate the highest common divisor of 528 and 318032. 176 What is the greatest common divisor of 1539 and 34587? 81 What is the greatest common divisor of 505 and 534189? 101 What is the greatest common divisor of 11 and 127226? 11 What is the highest common factor of 9 and 254481? 3 What is the greatest common factor of 852 and 86620? 284 Calculate the greatest common factor of 3323 and 101. 1 What is the greatest common divisor of 84197 and 538? 269 What is the highest common divisor of 4788 and 2988? 36 What is the highest common factor of 1 and 9551? 1 Calculate the highest common divisor of 390667 and 227. 227 What is the greatest common factor of 1132606 and 47? 47 Calculate the greatest common factor of 2900 and 12122. 58 What is the highest common factor of 138 and 52486? 46 What is the greatest common divisor of 5 and 434960? 5 Calculate the greatest common divisor of 6161 and 707. 101 What is the highest common factor of 67680 and 2088? 72 Calculate the greatest common divisor of 1026 and 43510. 38 Calculate the greatest common factor of 2299 and 5643. 209 What is the highest common divisor of 363948 and 312? 156 What is the highest common factor of 1626105 and 93? 93 What is the greatest common divisor of 346480 and 10370? 610 What is the highest common divisor of 4438 and 187664? 634 Calculate the highest common factor of 13951 and 28. 7 Calculate the greatest common divisor of 136587 and 165. 33 What is the greatest common divisor of 2032258 and 959? 137 Calculate the highest common divisor of 4818 and 21024. 438 What is the greatest common factor of 432651 and 29? 29 Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
**2 + (-5 + sqrt(176) - (1*sqrt(1100))**2). -441989/400 + 4*sqrt(11) Simplify 2 + (sqrt(726) + sqrt(726)*3 + sqrt(726))/sqrt(3). 2 + 55*sqrt(2) Simplify (sqrt(2) - (-1*sqrt(24))/sqrt(12)) + -3. -3 + 2*sqrt(2) Simplify -2*(1 + sqrt(38)/sqrt(2))*-1*6. 12 + 12*sqrt(19) Simplify (0 + -2*sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700) + -1*-3*sqrt(1700))**2. 27200 Simplify sqrt(228)/(sqrt(48)/sqrt(4))*2. 2*sqrt(19) Simplify sqrt(68) + (-1*sqrt(68))**2*-6 + -3. -411 + 2*sqrt(17) Simplify (-2*sqrt(1375) + sqrt(1375))/sqrt(11) - ((sqrt(5) - sqrt(45)*-1) + -1 + sqrt(180))**2. -501 + 15*sqrt(5) Simplify (1*sqrt(2430))/sqrt(10) + ((sqrt(132)/sqrt(4))/sqrt(11) - sqrt(3))*6. 9*sqrt(3) Simplify (sqrt(2)*2 - sqrt(2)) + 5 + 1 + 1. sqrt(2) + 7 Simplify 2*(5*(sqrt(68) - sqrt(68)*-2) + sqrt(68))/(sqrt(8)/sqrt(2)*5). 32*sqrt(17)/5 Simplify sqrt(20)/(sqrt(4)*-1*-2). sqrt(5)/2 Simplify -3 + (sqrt(75) - (6*sqrt(75)*1 + sqrt(75) - sqrt(75))). -25*sqrt(3) - 3 Simplify (-2*sqrt(84)*-2 - sqrt(84))/(sqrt(768)*1). 3*sqrt(7)/8 Simplify (-2 + sqrt(567) + sqrt(567))**2 + (sqrt(7)*-4)**2*5. -72*sqrt(7) + 2832 Simplify 2 + (4 + 1 + sqrt(1331))**2 + (2*sqrt(1331))**2 + -3. 110*sqrt(11) + 6679 Simplify (-2*sqrt(84)*3)/(1*sqrt(12)*1). -6*sqrt(7) Simplify -4*((sqrt(68)*-3*-5)**2 + sqrt(68) - sqrt(68)). -61200 Simplify 0 + (sqrt(85)*-2 - sqrt(85))/sqrt(5) + -2*sqrt(612). -15*sqrt(17) Simplify (sqrt(275) - ((6*-4*sqrt(275))**2 + sqrt(275)))*2. -316800 Simplify (-2*(-5 + sqrt(33)/sqrt(3) + -2) + 0)**2. -56*sqrt(11) + 240 Simplify 6*(sqrt(54)/sqrt(2) - sqrt(27))/sqrt(9)*2. 0 Simplify (5 + sqrt(130)/sqrt(10))**2 - (-1 + (sqrt(832) - sqrt(13)) - sqrt(13))**2. -431 + 22*sqrt(13) Simplify (4*1*sqrt(1700)*-3)**2. 244800 Simplify (sqrt(84)/sqrt(3))**2 + (sqrt(147)/sqrt(3))/sqrt(7) + 1. sqrt(7) + 29 Simplify ((sqrt(2736) - sqrt(2736)*1)*3)**2*-4. 0 Simplify 4 + sqrt(175) + sqrt(175)*2 + 5. 9 + 15*sqrt(7) Simplify ((sqrt(121) + (sqrt(121) + (sqrt(121) - -1*sqrt(121) - sqrt(121)) - sqrt(121) - sqrt(121)))/sqrt(11) + sqrt(11))*5. 10*sqrt(11) Simplify (((sqrt(19) + -1 - sqrt(19))*-5)**2 - -1*(1 + sqrt(19))) + -5 + sqrt(931)*1. 21 + 8*sqrt(19) Simplify (4 + 1 + sqrt(3) + 4)*-2. -18 - 2*sqrt(3) Simplify (sqrt(24) - (1*sqrt(48))/sqrt(2))/(sqrt(300)*2 - sqrt(300)). 0 Simplify (sqrt(112) + (sqrt(112) - (0 + sqrt(112))))*6. 24*sqrt(7) Simplify sqrt(30)/sqrt(96) + (sqrt(5) - sqrt(45)/sqrt(9))*4. sqrt(5)/4 Simplify -3 + 3*(sqrt(300) + (-1*sqrt(300))**2). 30*sqrt(3) + 897 Simplify ((sqrt(16) + sqrt(48)/sqrt(3)*4)/sqrt(8) + 1)**2. 10*sqrt(2) + 51 Simplify (2*(sqrt(637)*3 + 4))**2. 672*sqrt(13) + 22996 Simplify (6*1*sqrt(114) + sqrt(114))/sqrt(6). 7*sqrt(19) Simplify 1 + (1 + sqrt(304))**2. 8*sqrt(19) + 306 Simplify (-1 + 1*sqrt(300) + sqrt(300) - (0 + sqrt(300)*-2))**2. -80*sqrt(3) + 4801 Simplify (0 + -3*(sqrt(4608) - sqrt(4608)*2))**2. 41472 Simplify (sqrt(12)/(sqrt(6) + sqrt(24)) + 5)*4. 4*sqrt(2)/3 + 20 Simplify (sqrt(3)*-5*-6 - (sqrt(45)/sqrt(5) + sqrt(9))/sqrt(3))**2. 2352 Simplify (sqrt(228)*-2*6)/sqrt(12). -12*sqrt(19) Simplify sqrt(700) + (sqrt(700) - (sqrt(700) + -2 + sqrt(700))) + 5 + sqrt(700). 7 + 10*sqrt(7) Simplify (-2*2*sqrt(128) + -5 + 0 + sqrt(128))**2. 240*sqrt(2) + 1177 Simplify (sqrt(171) - (sqrt(171) + -1)) + -1 - (1 + sqrt(171))**2*1. -172 - 6*sqrt(19) Simplify (-2 + sqrt(192))**2*1 - sqrt(192). -40*sqrt(3) + 196 Simplify (((sqrt(70) - ((sqrt(70) - (sqrt(70)*-2 + sqrt(70))) + sqrt(70))) + sqrt(70) - sqrt(70))*5)/(sqrt(1000)*1). -sqrt(7) Simplify sqrt(816)/sqrt(3) + (-2*sqrt(187))/sqrt(11). 2*sqrt(17) Simplify -3*((sqrt(84) + (-2*sqrt(84) - sqrt(84)))*-4)/(-6*-2*sqrt(12) + sqrt(12)). -24*sqrt(7)/13 Simplify (3*((sqrt(187) + 1*sqrt(187) - sqrt(187)) + sqrt(187)))/((-3*sqrt(132))/sqrt(12)). -2*sqrt(17) Simplify (sqrt(448) + (sqrt(448) - 1*sqrt(448))*2 + sqrt(448) + sqrt(448))**2. 4032 Simplify (sqrt(1944)/sqrt(9))/(sqrt(2) + sqrt(72)*4). 6*sqrt(3)/25 Simplify (sqrt(33) + (-3*sqrt(33) - sqrt(33)) + sqrt(33))/sqrt(11) - (sqrt(75) + (4 + sqrt(75) - sqrt(75))**2). -16 - 7*sqrt(3) Simplify ((3 + sqrt(432)*-6)*-3)**2. -3888*sqrt(3) + 140049 Simplify -1 + (sqrt(7) - sqrt(56)/sqrt(8)) + sqrt(7) + -5. -6 + sqrt(7) Simplify 2 + (sqrt(153)*-1*-1)/sqrt(9). 2 + sqrt(17) Simplify ((-1*((sqrt(88) - sqrt(88)*4) + sqrt(88)))/sqrt(8))**2. 44 Simplify (5*sqrt(153) - (sqrt(2448) - (sqrt(2448) + 1*sqrt(2448))))**2. 12393 Simplify (-5*(-1 + sqrt(320)))**2 - sqrt(320) - (sqrt(320) - 2*sqrt(320)*-1). -432*sqrt(5) + 8025 Simplify (sqrt(468) - ((sqrt(468) + -4)**2 + sqrt(468)))*6. -2904 + 288*sqrt(13) Simplify (sqrt(2240)*-1)/(sqrt(240)/sqrt(12)). -4*sqrt(7) Simplify (1*sqrt(105)/sqrt(3))/(sqrt(63)/(sqrt(9) + -2*sqrt(9))). -sqrt(5) Simplify ((1 + sqrt(5) + sqrt(5) + 2*sqrt(5) - (-5 + sqrt(45))) + 2)**2. 16*sqrt(5) + 69 Simplify (1 + -6*(sqrt(1900) + 2 + -5))**2. -2280*sqrt(19) + 68761 Simplify -1 + sqrt(56)/sqrt(200). -1 + sqrt(7)/5 Simplify (sqrt(1700) + -1)*-3. -30*sqrt(17) + 3 Simplify (2*sqrt(912))/(sqrt(363) - 4*sqrt(363)). -8*sqrt(19)/33 Simplify -1 + (sqrt(125) - 2*sqrt(125))**2 + 1. 125 Simplify (4 + sqrt(125))**2*1. 40*sqrt(5) + 141 Simplify sqrt(19)*1*-4 - sqrt(76)/(sqrt(4)*1). -5*sqrt(19) Simplify sqrt(54)/sqrt(2) + sqrt(3) + sqrt(3) + (sqrt(24)/sqrt(4) + sqrt(6))/sqrt(2). 7*sqrt(3) Simplify sqrt(8)/sqrt(4)*4 + 0. 4*sqrt(2) Simplify -3*(-5 + (sqrt(396)*-1)**2). -1173 Simplify (0 + (sqrt(13)*3)**2)*-1. -117 Simplify (-3*sqrt(245)*1)**2. 2205 Simplify (3 + sqrt(38)/sqrt(2) - sqrt(95)/sqrt(5)*6)**2. -30*sqrt(19) + 484 Simplify ((sqrt(19) - (sqrt(38)/sqrt(2) + -5) - (sqrt(1216)*-2 - sqrt(1216))) + -5)**2. 10944 Simplify ((sqrt(2432) - (sqrt(2432) + sqrt(2432)*1 - sqrt(2432)) - sqrt(38))/sqrt(2))**2*-2. -38 Simplify (sqrt(396) - (sqrt(396) + -1)) + sqrt(396) + 1 + (3*sqrt(396)*2)**2. 6*sqrt(11) + 14258 Simplify 3 + (sqrt(17) + 2 + -1)**2 + 0. 2*sqrt(17) + 21 Simplify sqrt(5) - sqrt(240)/sqrt(12) - -1*sqrt(80). 3*sqrt(5) Simplify (5 + sqrt(252)*-4)**2. -240*sqrt(7) + 4057 Simplify ((2*sqrt(121)*3 + sqrt(121))/(sqrt(88)/sqrt(200)))**2. 13475 Simplify (-3*(-1 + sqrt(19)) - (sqrt(19) + sqrt(931) + -4))**2. -154*sqrt(19) + 2348 Simplify (sqrt(11) - (sqrt(77)*1)/sqrt(7))*-4. 0 Simplify (3*sqrt(735) + sqrt(15))/sqrt(5). 22*sqrt(3) Simplify 3*(sqrt(52) + 0 + sqrt(52) - ((sqrt(13) - sqrt(52) - sqrt(13))*3 - sqrt(13))**2). -1911 + 12*sqrt(13) Simplify 3*((sqrt(833) + sqrt(833)*-2)**2 - sqrt(833)) + 3. -21*sqrt(17) + 2502 Simplify -6*(-1*sqrt(52))/sqrt(4). 6*sqrt(13) Simplify (sqrt(405) + 0)**2 - (sqrt(450)/sqrt(10))**2. 360 Simplify (((sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7) - (sqrt(847) + 1)) + 3)**2 + 0. -36*sqrt(7) + 571 Simplify sqrt(13) - (sqrt(13) - (sqrt(117) + 2)) - -1*sqrt(52). 2 + 5*sqrt(13) Simplify 1 + 0 + sqrt(19) + sqrt(209)/sqrt(44). 1 + 3*sqrt(19)/2 Simplify (((3*sqrt(1872) - sqrt(1872)) + 2)*-6)**2. 3456*sqrt(13) + 269712 Simplify (sqrt(4235) + 2*sqrt(4235) - sqrt(4235))/sqrt(5). 22*sqrt(7) Simplify 4*(sqrt(704) + 0)**2. 2816 Simplify 4*((sqrt(684)*-2)**2 - ((sqrt(19) - sqrt(76)) + 1)). 4*sqrt(19) + 10940 Simplify -6*(3 + sqrt(5)) + 0. -18 - 6*sqrt(5) Simplify (4*3*sqrt(132))/((sqrt(48) - sqrt(12))*-5). -12*sqrt(11)/5 Simplify (sqrt(153)/(sqrt(144)/sqrt(4)) + (-1*sqrt(2057) - (3 + sqrt(272))))**2. 87*sqrt(17) + 14333/4 Simplify sqrt(12)/sqrt(150) + 2 + 1. sqrt(2)/5 + 3 Simplify (4*(-1*sqrt(931) + sqrt(931)))**2. 0 Simplify ((sqrt(33) + -2*sqrt(297) + sqrt(33))/((sqrt(30)*-1)/sqrt(10))*1)**2. 176 Simplify (sqrt(112)/(sqrt(2)*-2))/sqrt(8). -sqrt(7)/2 Simplify sqrt(14)/(sqrt(12)/sqrt(96)). 4*sqrt(7) Simplify 3 + (sqrt(300)*1 - (sqrt(75) + sqrt(75)*-1))**2. 303 Simplify (sqrt(104)/(sqrt(48)/sqrt(6)) + -5 + 2)**2. -6*sqrt(13) + 22 Simplify (sqrt(77)*-1 + sqrt(77))/sqrt(11) - ((sqrt(98)/sqrt(2))/sqrt(7))**2. -7 Simplify (sqrt(637) + sqrt(637) + sqrt(637) + -1 + 3)**2. 84*sqrt(13) + 5737 Simplify (sqrt(200) - (sqrt(200) + 0) - sqrt(200))**2 + 3 + ((-1 + sqrt(2) + sqrt(2))*-4 - sqrt(2))**2. -72*sqrt(2) + 381 Simplify -6*(1*4*sqrt(52))**2. -4992 Simplify 5 + ((sqrt(1900) - (sqrt(1900) + -5*(1 + sqrt(1900)))) + -1)**2. 400*sqrt(19) + 47521 Simplify ((sqrt(170) - (-3*sqrt(170) + sqrt(170)))/sqrt(5))/(sqrt(14)/sqrt(7)*6 + sqrt(2)). 3*sqrt(17)/7 Simplify sqrt(27)/(sqrt(9)*1) - (sqrt(120)/sqrt(5))/sqrt(8). 0
{ "pile_set_name": "DM Mathematics" }
/(-2). Let n = 0.2 - 0.1. What is the third smallest value in -0.2, b, n? n Let d = -371/330 - -16/55. What is the biggest value in d, 3, 4? 4 Let w = 148.1 - 148. Let r = 2 - 1. Let i = r - 2. What is the third biggest value in i, 4, w? i Let n = -7.031 + 0.031. What is the second smallest value in 8, -2/11, n? -2/11 Suppose -5*o + o = -20. Suppose -z = o*v + 3, 0*v - 6 = -3*v + 2*z. Let y = 1/3 - v. What is the second biggest value in y, -3, 0.5? y Let h be (31/(-93))/((-17)/(-6)). Let z = 13 - 9. Which is the smallest value? (a) -3 (b) z (c) -2/5 (d) h a Let i = 2/791 - -1572/3955. Which is the fourth smallest value? (a) -5 (b) i (c) 0.09 (d) -4 b Let y = -1158/7 + 7361/42. Which is the smallest value? (a) -4 (b) y (c) -3/8 a Suppose 14*k = 9*k + 20. Let u = 1.8 - 11.8. Which is the second smallest value? (a) u (b) 1 (c) k (d) 1/3 d Let t be (-3 + (-84)/(-9))/((-12)/9). Let h = t - -5. What is the smallest value in h, 0, -1/2? -1/2 Let o be (-6)/15 - (-228)/795. Let m be 78/14 + -3 + 13 + -16. What is the third biggest value in o, m, 3? m Let p = 0.2101 + -0.6101. What is the biggest value in -3, -4/23, p? -4/23 Let v = -67.7 + 68.2. Which is the third biggest value? (a) -0.1 (b) v (c) 6 (d) 3 b Let r = -7344/115 - -318/5. Let y = r - -65/161. Let t be 93/(-18) + (-1 - -6). What is the smallest value in 2, t, y? t Let m = -2.9 - -3. Let i(w) = 4 + 9*w - 6*w + w - 3. Let g be i(1). Which is the third smallest value? (a) -3/5 (b) m (c) g c Let j be 0 - (-6)/8*107/(-21). Let y = -18/7 - j. Which is the second smallest value? (a) -2 (b) y (c) -4 a Let d = -0.4 + -1.6. Let k be (2 - -2)/(0 + 1). Suppose k*j + 8 = 0, -4*p + j - 18 = -0*j. What is the third smallest value in 5, d, p? 5 Let n = -7971/17 + 469. Which is the third biggest value? (a) 0.2 (b) n (c) 2 b Let n = -0.019 + -7.981. Let r = 16.3 - 16.7. Which is the fourth biggest value? (a) 1 (b) 3 (c) r (d) n d Let q = 1 + -1.1. Which is the third biggest value? (a) q (b) 5 (c) -0.3 (d) -2/3 c Let r = 30 + -11. Let p = -119 - -97. Let u = r + p. Which is the second smallest value? (a) u (b) 6 (c) -1/2 c Let m = 2088/5 + -432. What is the smallest value in -0.4, m, -1, -1/5? m Suppose -11*j = -8*j + k + 6, 2*j = 5*k + 13. What is the smallest value in j, -12, 3/2, -0.2? -12 Let p be (-1)/(-2)*(-1 - -61). Let y be (4/40)/(8/p). Let k be 3 - (0 + 1) - 3. What is the third smallest value in 0.4, k, y? 0.4 Let n = 492.9 + -493. Which is the biggest value? (a) n (b) 26 (c) -0.4 (d) 0 b Let y = -17/4 + 47/12. Let j = -2 - -1.6. Let m = 0.5 + -0.3. Which is the third biggest value? (a) j (b) m (c) y a Let k = -0.641 + 0.641. Which is the third smallest value? (a) -0.02 (b) k (c) -2 (d) -11 a Let j = -296/57 - -105/19. Let w = -13 - -4. What is the third biggest value in w, j, 1/4? w Let r = 2.062 - 2.362. Which is the third biggest value? (a) r (b) -2 (c) 3 (d) -28 b Let t = 272/705 - -2/141. Let l = 46.8 - 47. What is the second smallest value in l, t, 2/11? 2/11 Let r(h) = -h**3 - 15*h**2 - 13*h + 19. Let x be r(-14). Let i = -5.04 - -0.04. Which is the biggest value? (a) -0.07 (b) i (c) x c Let w = -65.157 - -0.157. Let o = -66 - w. Let r be 5/2 - 1/2. What is the third biggest value in -2, r, o? -2 Let t = 792 + -791.9. What is the biggest value in 12, t, 5, 0? 12 Let g = 982.06 - 969. Let o = g - 13. Let s = -4.06 + o. What is the biggest value in -1, 0.5, s? 0.5 Let z = -168 - -159. Let v = z + 9.5. What is the biggest value in -0.1, -1, v, -2? v Let t = 0.72 - -1.28. Let d = -308/3 + 105. Which is the smallest value? (a) t (b) -3 (c) d b Suppose -22*y - 3*o = -17*y, 3*o + 21 = 2*y. What is the third smallest value in 0.3, -2.3, -1, y? 0.3 Suppose 0 = 3*k + 2*a, 3*a + 51 = 2*k + 64. What is the second biggest value in -1, k, 0.4, 0? 0 Let r = -194 - -192. Which is the second biggest value? (a) r (b) 0.5 (c) 8 b Let r = 93 + -98. Which is the second biggest value? (a) r (b) 4 (c) -361 a Suppose -2*q + 16 = 25*f - 27*f, 2*q = 5*f + 22. Let p = 4 - 9. Which is the second biggest value? (a) 2/11 (b) f (c) p b Let f = 10.34 - 9.44. What is the third smallest value in f, 2/7, -0.3, 5? f Let k = 40 - 36. Let r = k + -10. What is the smallest value in r, 1, 0.5? r Suppose 6*f + 64 = -4*o + f, -4*o - 2*f = 64. Let a = 46 + o. Let g be 4/(-10) - (-102)/a. What is the third smallest value in -2, g, -1? g Let v be (-168)/(-1166) - (-52)/1378. Which is the second smallest value? (a) v (b) 176 (c) 3 c Let m = -0.18 - -0.05. Let o = m + -7.87. Let s = -7.8 - o. What is the smallest value in s, 0.1, 4? 0.1 Let x = 149 + -147. What is the biggest value in x, -1, -1/3, 2/7? x Let d = -491.1 + 491. Which is the second smallest value? (a) 3 (b) -41 (c) d c Let l = -46.4 + 46.47. What is the fourth biggest value in 0.1, 2/23, 0.4, l? l Let u be ((-66)/33)/(2*-1). What is the third biggest value in 0.3, u, 1/3? 0.3 Let d = 1.1 + -0.3. Let y = -0.047 - -7.147. Let n = -4.1 + y. Which is the biggest value? (a) n (b) d (c) -2 a Let i = -157/1014 - -1/1014. Which is the fourth biggest value? (a) 0.3 (b) -0.3 (c) i (d) 2/79 b Let u = 57.076 + -0.076. Let x(y) = -y**3 - y**2 + 2*y. Let m be x(0). What is the fourth smallest value in -0.3, m, -0.4, u? u Let x = -1.2 - -1.09. Let m = -1.89 + x. Let v = m + -1. What is the biggest value in 0.3, v, 0.4? 0.4 Let r = -9.2 - -8.2. What is the second smallest value in -4, -12, r? -4 Let x = 286 - 3149/11. Let z = -25/44 - -9/11. Which is the second biggest value? (a) 4 (b) x (c) z c Let u be 4/18 - (-1 - 182/(-126)). Which is the biggest value? (a) -1 (b) 4 (c) u (d) 5 d Let o = 633 + -628. Which is the fourth smallest value? (a) -11 (b) -4/7 (c) o (d) 0.3 c Let d = -47/196 - 1/98. What is the smallest value in -3, -2/17, d, 3? -3 Let j be 28/8 + (-12)/(-8). Suppose 0 = j*g - 10, c = -0*c - 5*g + 5. Let z = 1.1 - 1. What is the second smallest value in c, z, 1/4? z Let p = 22 - -23. Let g = p - 44. Which is the biggest value? (a) -4 (b) g (c) -2/15 b Let h = 17/770 - -4/35. What is the third biggest value in -0.2, -2/11, h? -0.2 Let a = -0.72 - 2.28. What is the second smallest value in a, 1, 4? 1 Suppose 8*n - 7*n - 3 = 2*t, 0 = -3*t - 3. Which is the third biggest value? (a) -4 (b) n (c) -38 (d) 3 a Let z = -97 + 96.47. Let x = -4 - -3.97. Let b = z - x. What is the second smallest value in 2, b, -0.1? -0.1 Let u be (18/(-4) + 0)/(-66). Let n = u - -2/11. Let o = 53 + -48. Which is the second biggest value? (a) n (b) o (c) 2 c Let j be (5*2)/(18/27). Suppose -4*u - j = u. Which is the second biggest value? (a) 0.12 (b) u (c) 1/9 c Suppose 5*n - 37 = -4*j, 3 + 4 = -j + 2*n. Which is the smallest value? (a) j (b) 0 (c) 8 b Let h be 0 - (-11 + 13 - 12/7). Which is the third smallest value? (a) h (b) 3/8 (c) 2/65 b Suppose 0 = -9*y + 5*y + 20. Let n be 3*(8/6)/1. Let h = -22.4 + 22.3. What is the third smallest value in y, n, h? y Let x = -92 - -369/4. Let t = -133/204 + -1/68. What is the second biggest value in 3, t, x? x Let i = 0.182 + 2.918. What is the biggest value in 1/3, -1/6, i? i Let p = 73 - 66. Let j be 6/21 + (-9)/p. Let y = 1 + -1.3. Which is the second biggest value? (a) y (b) j (c) -1/4 a Let l be 2/((-66)/201) + 30/5. Let a(t) = -t - 1. Let u(d) = -5*d + 2. Let i(j) = -4*a(j) + u(j). Let s be i(0). What is the second biggest value in l, 0.1, s? 0.1 Let x = -1813 + 3743/2. Let v = 58 - x. Let m = 3 - 2. What is the biggest value in m, v, 5? 5 Let f = -29 + 29.5. Let a = -4.3 - -8.7. Let h = a - 4. What is the second biggest value in 3, f, h? f Let u be (4/6)/(50/(-15)). Let i = 80 - 79.8. What is the second biggest value in u, i, 0.3, 5? 0.3 Let q = -0.1 - 0.9. Let n be (8 + (-159)/21)*8/(-12). Which is the fourth biggest value? (a) q (b) 3 (c) n (d) 0 a Let r = -0.456 - -0.396. Which is the biggest value? (a) 3 (b) -0.2 (c) r a Let u = 10 + -9.79. Let m = 0.02 - u. Let n = m - -6.19. Which is the biggest value? (a) -1/3 (b) n (c) 1/6 b Let q = 11234/50391 - 4/5599. Let z = 1.2 - 0. What is the third smallest value in -0.5, z, q? z Let t = 29 + -34. What is the fourth biggest value in t, 2, 3, -68? -68 Suppose 3*m - 40 = -a, 3*m - 5*a
{ "pile_set_name": "DM Mathematics" }
= -298*z - 214*z + 19440 for z. 72 Solve 1983*a - 69092 = 481*a for a. 46 Solve -20529*y = -20515*y + 224 for y. -16 Solve -30420 = 2311009*p - 2311516*p for p. 60 Solve 17*k + 197 + 92 + 1088 = -255 for k. -96 Solve -576*t - 324*t + 211*t = -16536 for t. 24 Solve -92*h + 3076 + 3414 = 96*h - 70*h for h. 55 Solve 24*n + 112*n = -157*n - 1917 - 20351 for n. -76 Solve 4205*v - 2014*v - 32865 = 0 for v. 15 Solve 31*a - 368*a - 2*a - 369 = 30*a for a. -1 Solve 0 = -152*d - 535*d - 12130 - 236 for d. -18 Solve 256 = -474*l - 240*l + 56*l + 2888 for l. 4 Solve 0 = -165*c + 1378 + 10667 for c. 73 Solve -515*r + 285*r = -320*r + 1193 + 1057 for r. 25 Solve 2144*s + 32*s - 25276 = -14066 + 125878 for s. 63 Solve -17499*z = -17151*z + 12876 for z. -37 Solve -40198*w = -40956*w + 33352 for w. 44 Solve 2819*x - 68951 = 97370 for x. 59 Solve -470*n + 12598 = -16*n + 284*n - 2162 for n. 20 Solve -732*r = 21193 + 6623 for r. -38 Solve 7599 = -4030*u - 100*u - 108041 for u. -28 Solve 62*q + 563 - 2728 = 1679 for q. 62 Solve -310*g + 1083*g + 57 = -11538 for g. -15 Solve 439*w = 3913 + 11013 for w. 34 Solve -4824 - 4601 = 470*n + 8435 for n. -38 Solve 123*o + 1403 + 2384 = 220 for o. -29 Solve 0 = -255233*n + 255259*n + 744 - 2018 for n. 49 Solve 1165 = -46912218*q + 46912451*q for q. 5 Solve -134000*r + 134684*r - 18468 = 0 for r. 27 Solve -10*p = -87*p + 89*p + 132 for p. -11 Solve 230*p = -452*p - 228*p - 678*p + 9528 for p. 6 Solve -1656 = -5*i - 975 - 881 for i. -40 Solve -1722*i + 73270 - 63259 = -86421 for i. 56 Solve -141*d - 62320 = -673*d - 2748*d for d. 19 Solve 574893*j - 576026*j = 0 for j. 0 Solve -6031*p = 5374*p + 775540 for p. -68 Solve v - 267*v = 66*v + 17928 for v. -54 Solve -107*w = -571*w - 896*w + 10880 for w. 8 Solve -2831*n - 4549*n - 954*n - 783396 = 0 for n. -94 Solve -706*d - 1040*d = 1215*d + 28099 + 10394 for d. -13 Solve -1083 = 88*d + 159*d - 4664 - 2841 for d. 26 Solve 1838 + 4838 = -134*g - 2121 - 449 for g. -69 Solve 1756*j - 31031 = -1348*j + 283*j for j. 11 Solve 71366*i = 72642*i + 34452 for i. -27 Solve 314771 = 106*r + 310001 for r. 45 Solve 0 = 218*i - 220*i + 8 + 40 for i. 24 Solve -566 = -517*s + 302*s + 4809 for s. 25 Solve 0 = -507*z + 3466 + 83 for z. 7 Solve -3381*y = -1994*y + 70737 for y. -51 Solve 1145 + 807 = 360*u - 568 for u. 7 Solve -15*r + 555 = 15*r + 369 - 1374 for r. 52 Solve -722*l + 2179 = -589*l - 3939 for l. 46 Solve 55*u - 387*u - 7004 = 80*u for u. -17 Solve 165*a + 720 - 1862 - 4168 = 1455 for a. 41 Solve 394*d = 100810 - 133512 for d. -83 Solve 183*q - 124*q + 137*q - 17680 = -324*q for q. 34 Solve 0 = -2524*y + 20*y - 372*y + 26977 + 125451 for y. 53 Solve -37*j + 25 = -26*j + 13 - 32 for j. 4 Solve 911*w = 5990 + 5853 for w. 13 Solve -3284*a + 124871 = 39487 for a. 26 Solve -460*k - 24133 + 79672 = 1223*k for k. 33 Solve 0 = -195225405*d + 195225546*d - 564 for d. 4 Solve 41036 = 1080*n + 33476 for n. 7 Solve 102*s - 35626 = 40*s + 37013 - 71089 for s. 25 Solve 37916*m - 18952*m = 18957*m + 378 for m. 54 Solve 503*p + 143*p - 50245 = -127*p for p. 65 Solve -18794 = -856*r + 5174 for r. 28 Solve -49531 + 1659 = -2816*h for h. 17 Solve 231*z - 58*z = 47*z + 56*z - 2730 for z. -39 Solve 0 = -2712*u + 3701*u + 20769 for u. -21 Solve 2534*m - 1421*m + 62328 = 0 for m. -56 Solve 0 = 1001*g + 476*g - 2954 for g. 2 Solve 1003*v - 3891*v = -57760 for v. 20 Solve 0 = 144*r - 14084*r - 627300 for r. -45 Solve 748 = -83585*q + 83619*q for q. 22 Solve -262*w - 1071*w = 716*w - 169345 - 53996 for w. 109 Solve 0 = 151*h + 1510 + 4240 - 3192 + 5445 for h. -53 Solve 1320 = -63*i + 16 - 145 for i. -23 Solve 0 = 12*b + 208 - 640 for b. 36 Solve 698*b + 8592 = -598*b + 759*b for b. -16 Solve 0 = -7233*l + 81693 + 108936 - 311725 - 464777 for l. -81 Solve 233*i + 273 - 10360 = 133*i + 177*i for i. -131 Solve 7835 = -224*d + 26203 for d. 82 Solve 1635*b = 2159*b + 29868 for b. -57 Solve 656*g = 1251*g + 1682*g + 134343 for g. -59 Solve 532*s + 46091 = -118*s - 6042 - 9617 for s. -95 Solve 1955*f - 133279 - 39533 = -287*f + 105196 for f. 124 Solve -2352 = 568*o + 12984 for o. -27 Solve 920*i + 66695 = -1421*i - 382*i - 9549 for i. -28 Solve 1673*w + 4649*w = -1006*w - 791424 for w. -108 Solve 57*y + 621*y = -71*y + 32207 for y. 43 Solve 125*x - 6242 = -190*x + 8604 - 7916 for x. 22 Solve -1564 = 795145*f - 795111*f for f. -46 Solve 59*g = 1949 - 3076 - 2531 for g. -62 Solve 0 = 2618317*d - 2618281*d - 756 for d. 21 Solve 25836 - 3561 = 803*x - 398*x for x. 55 Solve -284*h + 7097 = 608*h + 350*h - 9049 for h. 13 Solve -699*t + 82257 = 1354*t - 28605 for t. 54 Solve -563*f - 747*f + 5237 = -103*f - 56320 for f. 51 Solve 0 = -44*i + 39184 - 37820 for i. 31 Solve 114*j = -116*j + 238*j + 324 + 60 for j. -48 Solve 116*i + 130*i - 286*i + 4224 = -128*i for i. -48 Solve -26416 + 9178 = 1014*t for t. -17 Solve -733*p + 35173 = -24161 + 7560 - 1002 for p. 72 Solve 4204 - 708 = 819*y - 635*y for y. 19 Solve -43029 = 1123*u + 926*u for u. -21 Solve 481942 - 89965 = -12988*s - 150814 - 28681 for s. -44 Solve 512*k + 2669*k - 322 - 285 + 3788 = 0 for k. -1 Solve -41*x + 794 = -60*x + 205 for x. -31 Solve -132669 = 5242*v - 331865 for v. 38 Solve 1465*f - 179*f + 1695*f = -18188 - 2679 for f. -7 Solve -24547*b + 24799*b = 7308 for b. 29 Solve -114337*i + 110627*i - 244860 = 0 for i. -66 Solve -422*h + 95 = -495 - 254 for h. 2 Solve 2700*p - 17101 = 3049*p for p. -49 Solve 0 = 473*c + 381*c + 35014 for c. -41 Solve 30*w + 456*w + 405*w + 14256 = 0 for w. -16 Solve 1395*t = -5655 - 6514 - 11546 for t. -17 Solve 58368*v - 116736*v + 58372*v + 290 = 74 for v. -54 Solve 126519 - 13550 = 13482*i + 36210 - 179399 for i. 19 Solve -26968*f + 13390*f - 15041 = -13409*f for f. -89 Solve 6623*h = -143712 - 136825 - 62892 - 7590 for h. -53 Solve -72269 + 73729 = 148*q - 20*q + 18*q for q. 10 Solve 571*x = -16480 - 18351 for x. -61 Solve -50*c + 4005810 = 4005060 for c. 15 Solve -13*c = 42*c - 2754 + 664 for c. 38 Solve 216*t - 4276 + 1157 = -12407 for t. -43 Solve 81037 - 53173 = -516*b for b. -54 Solve 283*v + 16728 = 35123 for v. 65 Solve 0 = -74*t - 74*t + 138*t - 20 for t. -2 Solve 8843*t + 94824 + 5631 = 699*t - 209017 for t. -38 Solve -209 - 247 = 18*l + 503 - 113 for l. -47 Solve 27282*i = 6364*i + 1882620 for i. 90 Solve 2056*u + 85925 = 26301 for u. -29 Solve -111961 - 111383 = -3102*n for n. 72 Solve -340 - 1306 = -96*w + 2540 + 3782 for w. 83 Solve -995*o + 300*o - 647*o = 77836 for o. -58 Solve 133872 + 65184 = 2552*k for k. 78 Solve 33*b - 232*b + 14749 = 143*b + b for b. 43 Solve 62783 = 1775*g - 4773 - 67344 for g. 76 Solve 556*x + 10*x - 225*x - 23296 = -75*x for x. 56 Solve -1519*p - 85298 = -29095 for p. -37 Solve 2258*d + 221970 = -913*d for d. -70 Solve 702*w = 827*w + 3066 + 4934 for w. -64 Solve 0 = 524*p + 1299*p + 712*p - 22815 for p. 9 Solve -323*h - 14579 = 12113 - 7398 + 7515 for h. -83 Solve 31492 = -1859*t + 1748 for t. -16 Solve 0 = -5222*b + 485005 - 46357 for b. 84 Solve 169*c + 12689492 - 12683746 = 0 for c. -34 Solve -13895 = 1138*r - 13474 + 11104 + 66997 for r. -69 Solve -840*p + 1682*p + 155 = 837*p for p. -31 Solve -3555*v - 3457*v = -7201*v - 8505 for v. -45 Solve 3208*q + 2952*q = -5755*q - 798305 for q. -67 Solve 0 = -958*s + 4641*s + 173101 for s. -47 Solve 3827 - 1220 = 129*a - 6570 + 663 for a. 66 Solve -49*g + 61*g - 177*g - 9760 = -5*g for g. -61 Solve 640*z = -2304 - 1536 for z. -6 Solve -241*o - 32727 - 65897 = 1250*o + 50*o for o. -64 Solve -652*q = -1317*q + 713*q - 1056 for q. 22 Solve -2419*d + 2331*d = 8360 for d. -95 Solve 2*s - 11*s - 18*s + 1662817 = 1665247 for s. -90 Solve 3377*d = 3242*d + 6345 for d. 47 Solve -315*r + 1936 = -142*r - 151*r for r. 88 Solve 2090*o - 3462 = 359*o for o. 2 Solve 442*t - 8550 - 4827 + 1443 = 0 for t. 27 Solve -20*n - 188*n + 4310 + 5263 + 3323 = 0 for n. 62 Solve 4157*t = 748*t - 5791*t + 966000 for t. 105 Solve -4371*u = -4435*u + 57 - 761 for u. -11 Solve -29369 = 454*w + 229*w for w. -43 Solve -683473 + 346926 + 84168 = -13442*o + 621351 for o. 65 Solve 70*c - 4681 = -3421 for c. 18 Solve -1006*l + 161553 = 1254*l + 62113 for l. 44 Solve 490*a - 75*a = -15738 - 29912 for a. -110 Solve 359*s + 301*s + 17965 - 1101 = 133*s for s. -32 Solve -4224 =
{ "pile_set_name": "DM Mathematics" }
What is one quarter of a millimeter in micrometers? 250 What is 3700412.1s in hours? 1027.89225 What is 561525.3 months in centuries? 467.93775 Convert 900027.3 hours to nanoseconds. 3240098280000000000 How many microseconds are there in 51/2 of a millisecond? 25500 How many minutes are there in 13964.577 milliseconds? 0.23274295 How many millimeters are there in 17/4 of a meter? 4250 How many centuries are there in 2873472.3 months? 2394.56025 How many litres are there in 8943.364ml? 8.943364 How many millilitres are there in seven halves of a litre? 3500 How many weeks are there in 2.7600699 hours? 0.0164289875 How many micrometers are there in 85.72291nm? 0.08572291 What is seven halves of a milligram in micrograms? 3500 What is 73/4 of a millennium in decades? 1825 How many decades are there in 4794.966 years? 479.4966 How many centuries are there in 0.4710606 years? 0.004710606 How many millilitres are there in thirty-three fifths of a litre? 6600 Convert 184.5156 litres to millilitres. 184515.6 Convert 31597.62ug to grams. 0.03159762 How many nanoseconds are there in 69109.92ms? 69109920000 What is 0.4441629 months in centuries? 0.00037013575 What is seventy-five halves of a litre in millilitres? 37500 How many grams are there in 490377.5mg? 490.3775 What is 1/20 of a milligram in micrograms? 50 How many meters are there in 0.9431924 centimeters? 0.009431924 How many minutes are there in 1/10 of a day? 144 What is twenty-nine halves of a litre in millilitres? 14500 What is 7/4 of a microgram in nanograms? 1750 How many millimeters are there in 7.284931cm? 72.84931 What is 1.293013 years in centuries? 0.01293013 How many millilitres are there in 3/8 of a litre? 375 Convert 0.1392322 grams to kilograms. 0.0001392322 What is four thirds of a week in hours? 224 What is 95.87795 years in centuries? 0.9587795 Convert 57991.85 millennia to years. 57991850 How many litres are there in 565.9046 millilitres? 0.5659046 How many months are there in 129.4804 millennia? 1553764.8 What is 438909.5 litres in millilitres? 438909500 What is 5.012566nm in micrometers? 0.005012566 What is 6.445452l in millilitres? 6445.452 How many months are there in 29/2 of a century? 17400 How many seconds are there in one eighteenth of a day? 4800 What is 4338.721l in millilitres? 4338721 How many nanograms are there in 793167.9 milligrams? 793167900000 How many litres are there in 85.85112ml? 0.08585112 How many millimeters are there in six fifths of a meter? 1200 Convert 90060.9um to kilometers. 0.0000900609 How many months are there in 7/16 of a millennium? 5250 What is 21/2 of a decade in years? 105 What is 9.220623l in millilitres? 9220.623 How many micrometers are there in 3/25 of a centimeter? 1200 What is four fifteenths of a minute in milliseconds? 16000 How many litres are there in 90684.52 millilitres? 90.68452 How many nanograms are there in 81.0103ug? 81010.3 What is 249468.1mm in nanometers? 249468100000 Convert 87.92676 days to minutes. 126614.5344 What is 21/4 of a tonne in kilograms? 5250 What is 6.471745 days in milliseconds? 559158768 What is 0.930913 meters in millimeters? 930.913 How many seconds are there in fourty-two fifths of a hour? 30240 Convert 26020.848 hours to days. 1084.202 What is 34.00279um in kilometers? 0.00000003400279 How many nanoseconds are there in 7/8 of a microsecond? 875 How many nanometers are there in seventeen quarters of a micrometer? 4250 How many microseconds are there in 533097.4ns? 533.0974 How many hours are there in 2.7999306 microseconds? 0.0000000007777585 Convert 324266.95 days to weeks. 46323.85 How many weeks are there in 14.8763538 minutes? 0.00147582875 How many millilitres are there in 11/10 of a litre? 1100 What is 0.1092451l in millilitres? 109.2451 How many seconds are there in 2/9 of a hour? 800 Convert 48.42174 minutes to nanoseconds. 2905304400000 Convert 0.384776kg to milligrams. 384776 Convert 216.3314 micrometers to millimeters. 0.2163314 What is three eighths of a week in hours? 63 How many meters are there in nineteen quarters of a kilometer? 4750 What is 15/4 of a year in months? 45 Convert 296593.8 months to millennia. 24.71615 Convert 9.8547 years to months. 118.2564 How many litres are there in 301.0381ml? 0.3010381 How many nanograms are there in fourty-six fifths of a microgram? 9200 What is 51/4 of a meter in centimeters? 1275 How many millilitres are there in twenty-nine fifths of a litre? 5800 What is 0.2609681ml in litres? 0.0002609681 What is 0.8091477l in millilitres? 809.1477 How many centimeters are there in 9.401895 meters? 940.1895 What is 13/4 of a kilogram in grams? 3250 How many meters are there in 27.14923 nanometers? 0.00000002714923 What is 7/3 of a day in hours? 56 Convert 28.84082m to kilometers. 0.02884082 How many meters are there in 3/50 of a kilometer? 60 What is 59/5 of a milligram in micrograms? 11800 How many nanograms are there in 8087.746 grams? 8087746000000 What is 63803.5 weeks in milliseconds? 38588356800000 How many decades are there in 4558.854 centuries? 45588.54 What is ten sevenths of a week in days? 10 Convert 3.550575 meters to kilometers. 0.003550575 What is seven quarters of a litre in millilitres? 1750 How many years are there in fifty-two fifths of a decade? 104 What is 25/4 of a litre in millilitres? 6250 How many milliseconds are there in 77.33648 hours? 278411328 What is fifty-seven halves of a decade in years? 285 Convert 65503.27m to nanometers. 65503270000000 How many months are there in 659300.2 years? 7911602.4 What is 224739.3 years in decades? 22473.93 What is 6/5 of a century in months? 1440 What is 6593.241cm in millimeters? 65932.41 How many months are there in seven halves of a year? 42 How many seconds are there in one ninth of a week? 67200 Convert 399.7804 minutes to microseconds. 23986824000 How many millimeters are there in 0.0240911cm? 0.240911 What is 23.82208mm in micrometers? 23822.08 What is 30.31235 seconds in microseconds? 30312350 What is 62.22676 years in decades? 6.222676 How many millilitres are there in 1/10 of a litre? 100 What is 32/5 of a milligram in micrograms? 6400 How many months are there in 1/6 of a millennium? 2000 Convert 2594.442 minutes to nanoseconds. 155666520000000 How many years are there in 1/4 of a millennium? 250 How many tonnes are there in 70.223ug? 0.000000000070223 How many minutes are there in 7/6 of a day? 1680 What is three tenths of a litre in millilitres? 300 What is six fifths of a tonne in kilograms? 1200 Convert 31372.9ml to litres. 31.3729 What is 25/4 of a millennium in months? 75000 How many kilometers are there in 3312.131m? 3.312131 What is three fifths of a century in years? 60 What is seven quarters of a litre in millilitres? 1750 Convert 6409.52 kilometers to meters. 6409520 How many nanoseconds are there in 0.993123 seconds? 993123000 What is fourty-seven quarters of a gram in milligrams? 11750 What is twenty-one halves of a kilometer in meters? 10500 Convert 5135.628m to micrometers. 5135628000 What is twenty-seven halves of a century in decades? 135 Convert 6584.812 litres to millilitres. 6584812 How many nanometers are there in thirteen quarters of a micrometer? 3250 What is twenty-one eighths of a microsecond in nanoseconds? 2625 Convert 32656.32 months to decades. 272.136 What is 5/4 of a gram in milligrams? 1250 How many months are there in five quarters of a year? 15 What is 1/10 of a microgram in nanograms? 100 What is 25/4 of a gram in milligrams? 6250 How many minutes are there in 627.3303ms? 0.010455505 What is 6/5 of a century in decades? 12 How many grams are there in 11/8 of a kilogram? 1375 How many seconds are there in one ninth of a day? 9600 What is 13/5 of a century in years? 260 What is 3/25 of a meter in centimeters? 12 What is fifty-seven halves of a gram in milligrams? 28500 How many milligrams are there in twenty-six fifths of a gram? 5200 How many years are there in 1/20 of a century? 5 What is three tenths of a week in minutes? 3024 What is nine tenths of a litre in millilitres? 900 How many millilitres are there in 45/4 of a litre? 11250 Convert 2.314291 tonnes to micrograms. 2314291000000 What is six fifths of a litre in millilitres? 1200 Convert 8
{ "pile_set_name": "DM Mathematics" }
+ -3 + 0. -12 Calculate 13 + (-17 + 7 + 4 - (28 + -8)). -13 What is (131 - 73) + -4 + -46? 8 What is the value of 3 + -17 + (6 - 0) - (-22 + 0 - -1)? 13 Evaluate -36 - -121 - (203 - 42). -76 What is -63 - (-25 + 64 - 44)? -58 (-23 - -30 - (7 - ((7 - 10) + -9))) + 19 7 -4 + 40 - (-98 - -91) 43 Evaluate 4 + 9 + -1 + (7 + -16 - -13) + 13. 29 Evaluate (103 - 51) + -159 + 31 - (15 - (-1 - -2)). -90 What is the value of 2 - 0 - (7 + (5 + 60 - (12 + 0)))? -58 Evaluate 157 + (-107 - (-138 - -77)). 111 Calculate 23 + (69 - 31) + 24 + 1 + -3. 83 Evaluate 0 - -1 - ((-19 - -9 - 10) + 10). 11 (-65 - -167 - 77) + 37 + -7 55 Evaluate 22 + -1 + (28 + -24 + -38 - -68). 55 Calculate 0 + 44 + -30 + 24 - (-4 + 19). 23 What is (45 - 44) + (4 - (-11 + 23) - -82)? 75 -112 + 211 + (-3 - 82) 14 Evaluate 1 + 16 + -62 + -18 + 38. -25 What is the value of 60 - (-61 - -115 - -7)? -1 What is -114 + (-210 - -259 - (62 + -2))? -125 What is the value of 94 + -20 + 18 - 21? 71 Evaluate (34 - 12) + -11 + 4 + -12. 3 Evaluate (55 - 173) + 160 - (80 - -1). -39 14 - 73 - -22 - (-208 + 64) 107 33 - -28 - -26 - 20 67 Calculate (-24 - (-55 - -24)) + -54. -47 Evaluate (-48 - (16 + -41)) + 47. 24 What is 25 + (-10 - -3) + 10 + (-6 - 5)? 17 What is the value of (37 - 146) + 91 + 53? 35 What is 42 + -45 + 14 + (1 - -10)? 22 What is the value of (-4441 - -4438) + (0 - -1 - -2) + 47? 47 What is the value of -7 - (-4 + (2 - 6) + -5)? 6 What is 117 + -120 + (8 - (5 + -4))? 4 Calculate (-55 - -23 - -15) + (5 + -3 - 1). -16 What is -15 + -1 + -18 + 16 - -47? 29 What is (2 + -46 - 0) + (1 + -5 - (-1924 - -1924))? -48 -193 - -172 - (-3 + -69) 51 What is (14 - 5) + -21 + -6 + -2? -20 What is (-33 - 46) + 76 + (-2 - 18)? -23 Evaluate -4 - (52 - 8) - ((10 - -19) + -12). -65 What is -3 + (-18 - (27 + -16 - 68))? 36 9 - (3 + 12) - (-5 - 2 - -7) -6 What is the value of -1823 + 1763 - (-27 - -1)? -34 What is (-7 - (-2 - -7)) + -27 + -8 + 47? 0 159 - ((64 - 8 - 27) + 10) 120 Evaluate 1 + -32 + 9 + (-6 - -3 - 8) - -6. -27 Evaluate (12 + -42 - -33) + (-58 - -8 - 8). -55 -1 + 12 + 14 + (1 - (18 + -32 + 17)) 23 What is 86 + 43 + -65 + -47? 17 What is the value of 34 + -13 - 44 - -41? 18 What is the value of 14 + (2 + 2 - 4) - (73 + -45)? -14 Evaluate 8 + (0 - 2 - -1) - (-110 - -120). -3 Calculate 4 + (6 - (22 - (4 - (-8 + -14 + 17)))). -3 What is the value of (-74 - -1) + -1766 + 1737 + 45 + -1? -58 9 - ((-19 - -25) + (-4 + -4 - 0)) 11 What is the value of (75 - 89) + (0 - -4 - -72 - -8)? 70 -10 + -5 + -48 + (19 - 29) + 5 + 3 -65 What is 6 + -3 + 91 + (39 + 1 + -7 - 37)? 90 Evaluate 12 + (7 - (1 - 3 - (-3 + 30 + -22))). 26 What is the value of -64 + (47 + 13 - 27)? -31 Calculate 85 - (25 + (-39 + 2 - -3)). 94 Calculate 133 - 91 - (-6 + 8 + -1 + 13). 28 Evaluate (-187 - -111) + 52 - (9 - -2). -35 (238 - 209) + (-51 - 15) -37 What is -86 + 85 - 19 - 41? -61 What is -11 + (-47 + 56 - (14 - -1)) + -29? -46 What is the value of (83 - (33 - -106)) + 59? 3 32 - ((81 - 16) + -11 - 14) -8 Calculate -3 + (8 - 1) + (35 - (34 - 19)) + 7. 31 (-39 + 36 + -16 - -11) + (2 - (-2 + -66)) 62 Calculate (-1 + 4 - 3) + 1211 + -1216 - 67. -72 6 + 2 + (5 + -1 - 3) - 17 -8 What is the value of -37 + -2 + -166 + (130 - -152)? 77 Evaluate (-1 - -1) + 6 - (-78 + (140 - 61)). 5 Calculate (523 - 533) + (-28 - 4 - 3). -45 9 + 4 + (-37 - -32) - (-47 - -7) 48 66 - (16 + 23 - 17) 44 Calculate 12 - (-1 + (-5 - -14) + -45). 49 Evaluate (-10 - 2 - -1) + (-54 - (-11 - 7) - -6). -41 What is (-30 - -119) + -107 + 5 + 0? -13 Evaluate 125 - ((-10 - (-5 - (17 + -2))) + -14). 129 Evaluate 181 + -142 - (6 + 15). 18 8 + (7 - (1 - -10)) + -3 - 1 0 What is the value of 0 + 3 + (-4 - (-22 + (-1 - -14))) + -21? -13 What is 3 + 3 - ((-46 - -26) + (1 - (4 + -11)))? 18 Evaluate -24 + (-34 - -120) + -49. 13 Calculate -57 + (-22 - (0 - -2 - (-35 + 47))). -69 What is the value of -4 + -25 - (21 + -83) - -4? 37 Calculate 43 - -3 - 48 - -86. 84 What is the value of (1 - 1 - -8) + (-25 - -4 - -58)? 45 Calculate -7 + (24 - 41) - -27 - -12. 15 What is (5 - 6) + 1 + 13 + -30 + 6? -11 What is -52 + (-1 - -55 - -37)? 39 722 + -634 + -51 + -7 30 Evaluate 50 + 5 + (-20 - 11) + 33. 57 Evaluate (-9 - -1) + 3 + (29 - 121). -97 (-65 - -34 - 18) + 33 -16 Calculate (1 - -31) + -2 + 2 + (258 - (-25 + 274)). 41 Calculate (-5904 - -5940) + (2 - 129). -91 Evaluate 81 - (2 + (-6 - -13 - ((-6 - -13) + -6))). 73 Calculate 79 - (-42 + 106 + 139). -124 What is the value of 48 + -70 + 50 + 0? 28 What is the value of 21 + (-28 - -47 - 3) + -5? 32 Evaluate (-227 - -122) + (-101 - -192). -14 What is the value of -13 + 8 + (-20 - -20) + -31? -36 What is -1639 + 1635 - (-1 + (-2 - 0 - -5))? -6 Calculate 5 + -10 + (25 - 12 - 1) + -55. -48 (625 - 652) + 36 + 1 + -7 3 Calculate -1 - ((14 + 1 - (-107 - -120)) + 56). -59 What is -8 + (5 - (-10 - -36)) + 55? 26 Calculate 28 + (4 - 17) - ((-4 - (-8 + 11)) + 3). 19 Calculate -16 + 7 + 35 - (7 + -8 + -7). 34 What is the value of -87 + (-26 - -92) - -22? 1 Evaluate -8 + 28 - (-63 + -2 + -101 + 94). 92 Evaluate -42 + 38 + (60 - 13). 43 Evaluate 16 - ((-9 - -17) + (-20 - 16 - 2)). 46 What is the value of -190 - -74 - -114 - (-1 + 57 + 0)? -58 What is 141 + (-24 - 3 - -14 - 10)? 118 What is the value of (8 - 2) + 4 - (12 + (-21 - -13))? 6 Evaluate 76 + (15 - (-31 - -64)). 58 1 + 11 + (63 - (25 - -18)) + -41 -9 Calculate 33 + (15 - 18 - (1 + 1)) + 68 + -69. 27 Evaluate 47 + 15 + -57 - 61. -56 What is the value of 2818 - 2844 - (1 + -37)? 10 Calculate 37 + (-4 - -9) + -9 - (17 - (41 - 9)). 48 -7 - ((-1 - (0 + 2)) + -13 + -15) 24 What is the value of (0 - -4) + (59 - 75) + 12 - (-2 - -66)? -64 48 - (29 - (-91 + 24)) -48 6 - (58 + 1 + (-259 - -257)) -51 -614 + 627 + -2 + 2 + -1 + 7 19 What is -43 - 30 - -86 - (9 - 0)? 4 Evaluate -49 + -1 + 12 + -4 + -8 + 2 + 2. -46 12 + 78 + 2 + -111 -19 -3 - -28 - 27 - -16 - (-30 + -2) 46 Calculate -30 - (-4 + 17 - (-32 - -35)). -40 (-187 - -182) + (0 - (-43 + -3) - -4) 45 Calculate 1 - ((55 - 45 - (-1 - -86)) + 2). 74 What is the value of (-239 - -237) + (-10 - -8)? -4 Evaluate -10 - (-8 + (22 - 64 - (2 + 4 + -4))). 42 What is the value of -1 + (19 - (6 + -3)) - (-28 + (17 - -2))? 24 Evaluate -38 + (110 - (132 - 46)). -14 What is 118 + (-288 + 144 - 21)? -47 What is -50 - (-3 + 27 + -13 + -27 + 14 - -4)? -52 What is the value of (44 - 54) + (-6 - (-13 - (-5 + -2)))? -10 Calculate -32 - -31 - -8 - 2. 5 Evaluate 26 + -26 + 29 + 38 - 27. 40 Evaluate 9 + 20 + -48 + 36 + 38. 55 Calculate -39 + -2 + -42 + 70. -13 Calculate 22 - (-14 - (-48 + 54)). 42 Evaluate -1 - -12 - (242 + -240). 9 Evaluate -5 + -7 + 2 + (-7 - -12) - -31 - 6. 20 What is -33 - -24 - (11 - 2) - -19 - 118? -117 5 - -35 - (140 + -84 - -118) -134 (0 + -7 - -1) + (43 - ((33 - 60) + 46)) 18 (11 - (0 - -2)) + (-37 - -25) + 3 0 Evaluate (-7 - (2 + 4)) + (-8 - 0 - (-126 - -112)). -7 Evaluate 198 - (29 - -138 - 97). 128 What is the value of 14 + 1 - (-25 + (13 - 14 - 12 - -23))? 30 Evaluate 89 + -187 + -14 + 104. -8 -6 + -5 + -19 + 49 + 2 21 What is -4 + -22 - (17 + (-14 - (2 + 12)))? -15 130 - (-53 + 135 - -78) -30 Evaluate (79 - 45) + -34 + (2 - -12) + -82. -68 -71 + -7 + 1 + (-48 - -45) - -6 -74 What is 8 - ((-5 - 2) + 3 + 9 + -6 + -15)? 24 Calculate -4 + (1 + -8 - (-87 + 40 - -53)). -17 Calculate 41 - 3 - (-17 + 45 + -35). 45 -386 + 476 + (-157 - -6) -61 What is 32 - ((-5 - ((7 - 10) + 17)) + 10)? 41 Calculate (-4 - -1) + -2 - (-42 + 34 - -2) - 51. -50 What is the value of -72 - (-27 + (48 - 56))? -37 Evaluate 12 + 5 + 2 + (106 - 93). 32 What is the value of 32 + 18 + (-44 + -13 - -27)? 20 What is the value of 1 + 91 + 20 + 16 + -67 + 35? 96 What is the value of (2 - -1 - (-1 + -1)) + -5853 + 5843? -5 (8 - 2) + (15 + -51 - -45) 15 What is the value of (-126 - -3) + -212 + 453? 118 Evaluate (51 - (-48 + (14 - -24) + 2 + -1)) + 6. 66 -39 + (221 + -91 - (-18 + 20)) 89 Calculate (19 - 12 - -1) + 2 + -6 + (0 - -11). 15 Calculate 23 - ((-39 - -78) + -35). 19 Calculate 71 + -97 - (-77 - -14). 37 (-33 - -58) + 19 + -86 -42 What is (-23 - -37) + (7 - 16 - -10 - 74)? -59 -101 - ((-87 - -79) + -60) -33 Evaluate -74 + -46 + 98 + 25. 3 Calculate (-94 - -77) + -37 + 44. -10 What is the value of 11 - (6 + -14 + 32 + 1 + 0 + 5)? -19 What is (-5 - -2 - ((-8 - -1) + -19 + 18)) +
{ "pile_set_name": "DM Mathematics" }
e the lowest common multiple of 300 and 405. 8100 Calculate the common denominator of 77/15 and 53/27. 135 What is the common denominator of -5/32 and -79/7712? 7712 What is the common denominator of 86/957 and 127/696? 7656 What is the lowest common multiple of 171 and 2? 342 Calculate the lowest common multiple of 5 and 47. 235 What is the smallest common multiple of 825 and 1155? 5775 Calculate the common denominator of -107/50 and 93/110. 550 Find the common denominator of 31/57 and -19/6. 114 What is the common denominator of -29/237 and -49/18? 1422 Calculate the common denominator of 19/8632 and 7/20. 43160 Calculate the common denominator of -79/76 and 3/304. 304 Find the common denominator of -97/584 and 119/10. 2920 Calculate the common denominator of -97/2128 and 91/264. 70224 Calculate the lowest common multiple of 12 and 7752. 7752 Calculate the smallest common multiple of 1107 and 123. 1107 What is the common denominator of 65/42 and 89/42? 42 Calculate the lowest common multiple of 96 and 64. 192 Calculate the smallest common multiple of 273 and 65. 1365 What is the lowest common multiple of 165 and 1125? 12375 Calculate the smallest common multiple of 44 and 1876. 20636 Find the common denominator of 37/147 and 49/18. 882 Find the common denominator of -73/4436 and -127/60. 66540 Find the common denominator of 93/4 and -33/104. 104 Calculate the common denominator of -5/4 and -71/40. 40 Find the common denominator of 16/3 and 31/2079. 2079 What is the lowest common multiple of 24 and 165? 1320 What is the smallest common multiple of 2945 and 775? 14725 What is the least common multiple of 14380 and 1? 14380 What is the common denominator of 51/2 and -37/8? 8 Calculate the common denominator of 37/8 and 2/6397. 51176 Calculate the lowest common multiple of 310 and 310. 310 What is the least common multiple of 4 and 320? 320 What is the least common multiple of 3266 and 994? 22862 What is the common denominator of 39/11 and -37/88? 88 What is the lowest common multiple of 460 and 575? 2300 Calculate the lowest common multiple of 1644 and 6576. 6576 Calculate the smallest common multiple of 270 and 594. 2970 Find the common denominator of 91/20 and 109/48. 240 Calculate the common denominator of -7/180 and 81/2. 180 Find the common denominator of -19/48 and 68/45. 720 What is the common denominator of 29/30 and -38/2895? 5790 Calculate the lowest common multiple of 765 and 204. 3060 What is the lowest common multiple of 1180 and 40? 2360 Calculate the least common multiple of 80 and 88. 880 Calculate the smallest common multiple of 4680 and 780. 4680 Calculate the common denominator of -17/14 and 35/74. 518 Calculate the lowest common multiple of 99 and 24. 792 Calculate the least common multiple of 5472 and 1. 5472 Calculate the smallest common multiple of 36 and 556. 5004 Calculate the smallest common multiple of 12 and 469. 5628 What is the common denominator of 137/270 and 11/1092? 49140 Calculate the common denominator of -25/3 and -77/15. 15 Find the common denominator of 5/6 and 19/246. 246 What is the common denominator of -22/9 and -49/201? 603 What is the lowest common multiple of 3688 and 36? 33192 Calculate the common denominator of 11/3111 and -53/1122. 68442 Calculate the lowest common multiple of 6 and 566. 1698 What is the smallest common multiple of 339 and 45? 5085 Find the common denominator of 5/652 and -133/12. 1956 Calculate the least common multiple of 5 and 6815. 6815 Find the common denominator of 21/2132 and 79/5330. 10660 Calculate the lowest common multiple of 3 and 409. 1227 Calculate the smallest common multiple of 1520 and 1672. 16720 Find the common denominator of 29/1614 and 7/5918. 17754 What is the smallest common multiple of 2415 and 35? 2415 What is the lowest common multiple of 795 and 65? 10335 What is the lowest common multiple of 140 and 60? 420 Calculate the lowest common multiple of 272 and 34. 272 What is the common denominator of 25/3 and 79/51? 51 Calculate the lowest common multiple of 3535 and 5656. 28280 What is the least common multiple of 260 and 28? 1820 What is the common denominator of 29/24623 and 8/9? 221607 What is the smallest common multiple of 710 and 25? 3550 What is the common denominator of -133/90 and 35/6? 90 Calculate the lowest common multiple of 218 and 1744. 1744 What is the lowest common multiple of 732 and 610? 3660 What is the least common multiple of 7180 and 7180? 7180 Find the common denominator of -52/9 and 22/153. 153 Calculate the lowest common multiple of 1 and 9776. 9776 Find the common denominator of -57/74 and -21/4. 148 Calculate the least common multiple of 10 and 16. 80 What is the least common multiple of 16 and 830? 6640 Calculate the common denominator of 17/11 and 3/121. 121 What is the smallest common multiple of 33 and 927? 10197 Find the common denominator of -23/62 and 6/155. 310 Calculate the lowest common multiple of 56 and 304. 2128 What is the least common multiple of 3240 and 4? 3240 Calculate the common denominator of 62/175 and 17/20. 700 What is the lowest common multiple of 40 and 1032? 5160 Find the common denominator of -149/36 and 5/66. 396 What is the common denominator of -17/13 and -43/41? 533 What is the least common multiple of 372 and 222? 13764 Calculate the common denominator of -13/413 and 17/10. 4130 What is the lowest common multiple of 504 and 84? 504 What is the smallest common multiple of 2268 and 9? 2268 What is the least common multiple of 440 and 1595? 12760 Calculate the common denominator of 137/280 and 47/160. 1120 What is the smallest common multiple of 4203 and 33? 46233 Calculate the smallest common multiple of 104 and 4. 104 What is the least common multiple of 2114 and 6342? 6342 What is the smallest common multiple of 8 and 408? 408 What is the lowest common multiple of 16 and 1002? 8016 What is the lowest common multiple of 210 and 195? 2730 What is the smallest common multiple of 336 and 1176? 2352 Calculate the lowest common multiple of 1260 and 378. 3780 What is the common denominator of -65/66 and 115/2616? 28776 Find the common denominator of -113/10 and -19/115. 230 What is the lowest common multiple of 1075 and 30? 6450 Calculate the lowest common multiple of 23846 and 4. 47692 Find the common denominator of -67/240 and -59/800. 2400 What is the smallest common multiple of 66 and 66? 66 What is the lowest common multiple of 47 and 94? 94 Calculate the smallest common multiple of 2805 and 2550. 28050 What is the least common multiple of 28 and 3920? 3920 Calculate the common denominator of -133/110 and 23/154. 770 Calculate the least common multiple of 21 and 217. 651 Calculate the smallest common multiple of 99 and 22. 198 What is the lowest common multiple of 22 and 24? 264 What is the lowest common multiple of 716 and 2864? 2864 Calculate the smallest common multiple of 57 and 35. 1995 Find the common denominator of 61/5 and 3/64. 320 What is the common denominator of 81/56 and -99/28? 56 Calculate the common denominator of 58/5 and -71/729. 3645 Calculate the lowest common multiple of 2475 and 594. 14850 Find the common denominator of 45/7 and -49/8. 56 What is the lowest common multiple of 39 and 9? 117 Calculate the least common multiple of 114 and 48. 912 What is the smallest common multiple of 16 and 672? 672 Calculate the lowest common multiple of 14 and 4866. 34062 Find the common denominator of 73/33 and -55/2042. 67386 What is the least common multiple of 3 and 186? 186 Calculate the lowest common multiple of 192 and 15. 960 What is the common denominator of 65/816 and -133/12? 816 Calculate the common denominator of -61/432 and -51/4. 432 What is the common denominator of -43/570 and 83/152? 2280 Find the common denominator of -19/360 and 23/60. 360 Find the common denominator of -59/434 and 37/186. 1302 What is the common denominator of -31/4 and -40/7? 28 What is the least common multiple of 6048 and 8? 6048 Calculate the common denominator of -43/18 and 35/153. 306 What is the common denominator of 24/11 and -5/7? 77 Find the common denominator of -79/208 and 5/338. 2704 Calculate the least common multiple of 30 and 110. 330 What is the common denominator of 11/28 and 103/24
{ "pile_set_name": "DM Mathematics" }
+ 3*i, 0 = -5*m + 2*i + 20 for m. 2 Solve -14 = -4*v - 3*t, -v + 13*t - 11*t = 2 for v. 2 Solve 3*r + 30*k - 29*k = 11, -8 = 2*k for r. 5 Solve 17*c = 3*d + 13*c + 14, 2*d = -2*c + 14 for d. 2 Solve 4*s = 5*f + 5, -3*f + s = -4*s + 3 for f. -1 Solve 5*d - 3*a = -25, -4*d = 7*a - 4*a - 7 for d. -2 Solve 4*n = 4*u, 2 + 0 = 5*n - 3*u for n. 1 Solve 2*t = -2*y - 8, -21 = -3*y + 2*y + 4*t for y. 1 Solve -35*y + 17 = 5*q - 38*y, 0 = q + y + 3 for q. 1 Solve 10 = -4*a + 15*s - 10*s, -5*s = 2*a + 20 for a. -5 Solve -5*d + 5 = -2*q, 8*q - 5*d = 7*q - 10 for q. 5 Solve 4*m + 24 = -w, -m + 2*w - 12 = 3*m for m. -5 Solve 16*h - 14*h + 4*p + 16 = 0, -5*h - 5*p - 15 = 0 for h. 2 Solve 3*n - 5*w + 16 = n, 4 = -4*n + 3*w for n. 2 Solve -4*g - 4*w + 28 = 0, 34 = 4*g + 5*w + 4 for g. 5 Solve 3*d = 5*j, 0 = 2*j - 7*j - 3*d - 30 for j. -3 Solve m + 0*m - 3*l - 11 = 0, -2*m - 5*l = 0 for m. 5 Solve -3*a = 5*f + 28, 5*a - 2*f = 7 - 2 for a. -1 Solve -4*m = 5*k - 9*k, -3*m - 21 = 4*k for m. -3 Solve 33 = 15*b - 13*b + 5*z, 3*b = -5*z + 37 for b. 4 Solve 4*w = 8, -20*m = -23*m + 3*w + 6 for m. 4 Solve 25 = -5*x - 5*g, 20 = -5*x + x - 3*g for x. -5 Solve -m = -2*n - 11, 0 = -4*m - 14*n + 17*n + 29 for m. 5 Solve r - 5*q = 5*r - 11, 3*r = q + 13 for r. 4 Solve 4*g = -2*z, 4*z + 11 + 2 = 5*g for z. -2 Solve -2*a - 6 = 2*g, 0 = -4*a + 2*g - 0*g - 24 for a. -5 Solve 4*b - 4*c + 2*c = 12, -2 = -2*b + 2*c for b. 5 Solve -j + 2*m - 7 = 2, 0 = 3*j - 5*m + 22 for j. 1 Solve 3*i = -2*l + 24, 0 = -4*l + 2*i + 55 - 39 for l. 6 Solve 3*n - 4*j + 20 = 0, 4*n - 2*j - 4 = 6*n for n. -4 Solve 3*d = -5*c + 32 + 3, c - 4 = 0 for d. 5 Solve 2*t = -4*m - 22, 4*m = m - t - 15 for m. -4 Solve 12 = -3*a + 2*s, -s = 3*a - 5*s + 12 for a. -4 Solve -5*l = -3*a + 30, -10 = -9*a + 4*a - 5*l for a. 5 Solve -3 = g, -10 = 4*f - 2*g - 0*g for f. -4 Solve -3*v + 31 = 5*z - z, 0 = 2*z + 4*v - 28 for z. 4 Solve j + 4 = -5*m, 0*j = m - 4*j - 16 for m. 0 Solve -t - 2 = 0, 4 - 16 = -4*y + 4*t for y. 1 Solve -5*d = -4*d - h, 32 = 3*d + 5*h for d. 4 Solve 2 = -2*y - 3*i, -2*i = 3*y - 0*i + 8 for y. -4 Solve 2*w - 5*n + 3 = 0, w - 1 = -0*n + 5*n for w. -4 Solve 23 = 2*u + 5*k, 18*u + 5*k - 19 = 17*u for u. 4 Solve y + 1 = -2*m, -y - y + 16 = -2*m for m. -3 Solve 5*a - 10 = 5*o, 5*o + 4*a - 3 + 13 = 0 for o. -2 Solve 0 = 4*c - 2*n + 14, -c + 5*c = n - 11 for c. -2 Solve 3*j + 11 - 19 = -4*a, 0 = 2*a - 2*j - 18 for a. 5 Solve 3*h + 2*n = 7*h + 12, 0 = -2*n - 4 for h. -4 Solve -20*o = -15*o - 5*c - 35, 4*c = -8 for o. 5 Solve 40 = 5*f + 3*p, -3*f + 19*p - 15*p - 5 = 0 for f. 5 Solve 4*p - 3*n - 29 = 0, -p - 10*n + 8*n = 1 for p. 5 Solve -7*f + 2*f - 5 = 0, 4*g + 9 = -5*f for g. -1 Solve 0 = -4*v + 2*z - 1 - 1, -4*z + 20 = 0 for v. 2 Solve 0*z - 15 = 5*z - 5*q, z - 12 = -4*q for z. 0 Solve -2*q + 5*z = 14, 1949*q - 1948*q + 6 = 2*z for q. -2 Solve 0 = -o + 4*w - 9 - 3, -2*w + 4 = -o for o. 4 Solve -4*v - 10 = 2*x, -6*v + 2*v = -x + 7 for v. -2 Solve 3*v + 23 = -5*y, -49*y - 2*v = -52*y - 10 for y. -4 Solve 5*b = -4*r - 58 + 35, 2*b + 4*r + 14 = 0 for b. -3 Solve 0 = r - m + 3, -4*r - 4*m - 32 = -4 for r. -5 Solve 0 = n - v - 4, -3*n - 2*v + 4 = n for n. 2 Solve g = 3*g + 4*v, 4*g - 4*v - 12 = 0 for g. 2 Solve 65*h = 60*h + 10, 0 = 5*p - 3*h + 21 for p. -3 Solve -35*d - 5 = -p - 34*d, -5*d = 15 for p. 2 Solve 18*r + g = 19*r - 6, 4 = -4*g for r. 5 Solve -c + 13 = -2*p, 0 = -3*c - 0*c - 4*p - 1 for c. 5 Solve -5*f - 3 = 3*c, 3*f - 4*f = 3*c + 3 for c. -1 Solve -5*a = -u - 25, 3*a + 9*u - 15 = 8*u for a. 5 Solve -3*v = 3*b + 3, -4*b - v - 2 = 2 for b. -1 Solve l = 2*d - 9, 3*l + 13 = d + 6 for d. 4 Solve -3*j - 3 = -5*t + 2*t, 0 = 5*j + 4*t + 14 for j. -2 Solve c + 10 = 3*a - 3, -4 = 4*c for a. 4 Solve 4*d + 12*j - 13*j - 19 = 0, -d - 5*j = -10 for d. 5 Solve -2*w + 896*n - 899*n = 0, 0 = w - 5*n for w. 0 Solve 9*i - 4*i = -4*f - 18, -3*i - 6 = 0 for f. -2 Solve y + d = -10 + 1, 5*d = 4*y for y. -5 Solve 21*d + 3*j - 5 = 22*d, 0 = 3*j - 9 for d. 4 Solve 0 = -2*u - 5*v - 1 + 10, -4*u + 2*v - 18 = 0 for u. -3 Solve -4*k + 1 = -5*i, i = -5*k + 6*k for i. -1 Solve -4*y = -2*u + 8, -u - 19*y + 14*y = -4 for u. 4 Solve 16*z + 5*q + 11 = 15*z, 3*z + 3*q = 3 for z. 4 Solve -q - 16 = -4*k, -q + 5*k - 9 - 10 = 0 for q. -4 Solve -c + 0*o - o = 7, -11 = -2*c + 3*o for c. -2 Solve 3*l + 6 = -5*h + 7, -4*h = 2*l for l. 2 Solve 0 = 4*m + 4*u + 16, -7*m - 6 = 2*u + 2 for m. 0 Solve 3*p - 5*r + 13 = 0, -p + 6*p - 4*r = 0 for p. 4 Solve -11 = -p + 2*d, -2*p - 4*d = -2*d + 2 for p. 3 Solve -2*y = -5*g + 22, y + 2*y + 4*g - 13 = 0 for y. -1 Solve -5*l + 39 = -x, 0*l - x - 32 = -4*l for l. 7 Solve -3*n + 5*s = 27 - 10, 4*n + 2*s - 12 = 0 for n. 1 Solve 5*p = -u - 23, 3*u - 13 = p + 6*u for p. -4 Solve -23 = -s - 4*p, -5*p + 32 + 8 = 5*s for s. 3 Solve 26 = -5*t - g, 165 = 2*t + 3*g + 178 for t. -5 Solve -y + 11 = 2*y + 2*j, -3*y + 3*j = -21 for y. 5 Solve -3*n + 20 = 4*k, 16 + 4 = 4*k for n. 0 Solve -4 = -2*b - 12*c + 8*c, 3*b = -3*c + 9 for b. 4 Solve -35*y + 37*y - j + 3 = 0, -j = -3*y - 7 for y. -4 Solve 0 = 5*n - 2*x + 6 - 2, -4*x + 8 = -2*n for n. 0 Solve -z - 3 = 0, 4*m - 5*z + 264 - 259 = 0 for m. -5 Solve -1 = 5*n - 4*y, 0 = -2*n + 3*n + 3*y + 4 for n. -1 Solve 4*v + 4*b = 36, 34*b - 30*b - 16 = v for v. 4 Solve -9*j - 20 = -5*j, 0 = -5*v + 4*j + 40 for v. 4 Solve n - 33 = -5*l, -2*l + 5*n - 7 = -4 for l. 6 Solve -357 = -2*d + 4*j - 331, 3*d + 4*j + 11 = 0 for d. 3 Solve 5*g + 2*n = 5, -5*g + 2*g - n + 3 = 0 for g. 1 Solve -4*g = -a - 0*a - 11, -4*g - 2*a + 14 = 0 for g. 3 Solve -y + 17 = 18, -5*y = 2*j - 7 for j. 6 Solve -3*f = -6*f - 4*q + 29, -10 = -2*q for f. 3 Solve 0 = 5*b + 5*d - 10, -d - 3*d = -b - 23 for b. -3 Solve 4*r - 9 = -3*n, -4*r + 3*n - 9 = -0*r for r. 0 Solve -5*p - 25 = -o, 4*p - 5 = -5*o + 4 for p. -4 Solve 3*b + 10 = 5*a - 10, b + a - 4 = 0 for b. 0 Solve -2*y = -8, b - y - 3*y = -13 for b. 3 Solve -n = 4*y - 6, n + 15 = 5*y + 12 for y. 1 Solve -3*n = m - 6, 8 = 2*n + 456*m - 454*m for n. 1 Solve -5*y = -15, -3*y + 14 = -2*u + y for u. -1 Solve 3*o - 18 = -u, 0 = -2*o - 3*u + 5*u + 4 for o. 5 Solve -2*q + 0 = -s - 6, -4*s - 9 = -5*q for s. 4 Solve -14 = -u + 4*o + 1, -3*o - 12 = 0 for u. -1 Solve -10 = -5*b - 4*c, -13*b + 29 = -15*b + 5*c for b. -2 Solve 3*z = 3*l + 18, -3*l + l = -5*z + 24 for z. 4 Solve 5 = -2*k - 5, 0 = r - 2*k - 8 for r. -2 Solve 2*d - 8 = 0, 0*z + z = 2*d - 5 for z. 3 Solve 7 = 2*f - 23*h + 22*h, 3*h = 5*f - 20 for f. 1 Solve 4 = -j - 3*t - 7, -j = -2*t + 1 for j. -5 Solve -2*n = -5*i - n - 28, -22 = 2*i - 4*n for i. -5 Solve 0 = -3*x + 2*m - 3, 2*x + m = 4*x + 2 for x. -1 Solve 4*y = 3*s + 28, -5*y = -5*s - 68 + 33 for y. 7 Solve 2*b - 7*b + v = 5, -3*b - 31 = 5*v for b. -2 Solve 2*i - 6 = 2*g, -6*i = -5*i - 2*g - 2 for i. 4 Solve 2*r = -2*o + 5*r - 20, 5*o + 4 = -4*r for o. -4 Solve 4*l + 4 = -h, -5*h - 35*l + 30 = -40*l for h. 4 Solve 14 = 5*w + 3*q, -5*w - 2*q + 8 = -q for w. 1 Solve j - 4 - 23 = -5*f, 5*j = 2*f for f. 5 Solve -2*m + 10 = 2*o, -135*m = 3*o - 130*m - 21 for o. 2 Solve -5*f = -3*i + 15, 2*i = -3*f - 0*i - 9 for f. -3 Solve -2*d - 4 = -2*z, -5*z - 2*d = -0*z - 10 for z. 2 Solve -c = -4*t - 23, -5*c = -5*t + t - 35 for c. 3 Solve -2*z + 4*c = 9*c + 22, -13 = -3*z + 4*c for z. -1 Solve 4*l + 3*g = 25, 4*g - 12 = -0 for l. 4 Solve -8 = g + 2*u, -26 = 64*g - 59*g + 3*u for g. -4 Solve 3*a = 5*p + 12, -2*p = 3*p - a + 4 for p. 0 Solve j - 2*n - 2*n - 7 = 0, -n + 11 = 4*j for j. 3 Solve 5*d + 5*t = -40, -7*t - 23 = 4*d - 6*t for d. -5 Solve n = -5*d, 4*n = 4*d + 7*n + 11 for d. 1 Solve 0 = -s + 2*l + 1, -4*s + s - 5*l + 14 = 0 for s. 3 Solve 3*h = -15, -2*x - 21 = 2*x + h for x. -4 Solve -5*k = -5*h + 15, h = 5*k - 2*h + 19 for k. -5 Solve m - 58 = -c - 66, 0 = 3*m - 5*c for m. -5 Solve -4*s = 3*i + 5, -3*i + 5*s = -7 - 6 for i. 1 Solve k + 4*y - 4 = 0, -9*k + 7*k + 3*y = -8 for k. 4 Solve -1 = f + 4*j - 0, 8 = -f + 3*j for f. -5 Solve -8 = u + u, -3*t - 5*u - 20 = 0 for t. 0 Solve -29*g = -a - 31*g - 8, -35 = -5*a + 5*g for a. 2 Solve -i - 9 = -3*d + 2, d + 3 = 2*i for i. 4 Solve -3*v - w + 9 = 0, -2*v + 3*w = 2*w - 6 for v. 3 Solve 2*s + 8 = 3*y, 5*y + s - 5 = -9 for y. 0 Solve 2*x + 3*s = 24, 30 = 3*x - 7*s + 10*s for x. 6 Solve 0 = 5*d - 10, -y - 1 - 1 = d for y. -4
{ "pile_set_name": "DM Mathematics" }
lest common multiple of 586470/1243 - 4/(-22) and 88? 5192 Let h be -19*((8 - 1) + -2). Let i = h - -111. Suppose 2*f + 2*f - 3*l - 72 = 0, 3*f + 3*l = 54. What is the smallest common multiple of i and f? 144 Suppose 9 = -4*q + 3*h, -5*q - 9 = -h - 2*h. Suppose 4*g + 5*s - 138 - 208 = 0, q = 5*g - 2*s - 416. Calculate the smallest common multiple of 42 and g. 84 Calculate the smallest common multiple of 1340 and (5/((-75)/(-24)))/((-38)/(-12730)). 2680 Let u = -7351783331/30 - -245083972. Let b(x) = 24533*x**3 - 9*x**2 + 8*x + 1. Let c be b(1). Let n = c - u. Calculate the common denominator of 59/39 and n. 390 Let o(f) = 9*f + 49. Let y be o(-6). What is the smallest common multiple of 18 and (3/y)/((-24)/11160)? 558 Let k = 2/13077 + 222253/366156. Calculate the common denominator of k and (584/462 - 1)*(-17 - -14). 308 Let t = -331 + 343. Let f = 132 + 92. What is the least common multiple of t and f? 672 Let z(v) = v**3 - 8*v**2 - 9*v + 10. Let t = 143 - 140. Suppose 47*i - t = 44*i. What is the smallest common multiple of z(9) and i? 10 Let l be (2/(-30))/(4625/(-75)). Let x = -68/1295 + l. Find the common denominator of x and -63/10. 350 Let d = -57 - -56. Find the common denominator of (-1 + 219/225)/(d/57) and ((-35)/11)/(11 - 12). 275 Suppose -3*m = -4*x - 312, 15 + 58 = -x + 2*m. Let g = 109 + x. Calculate the least common multiple of g and 112. 112 Find the common denominator of (-10)/80 - (-790)/(-480) and 1/178. 4272 Suppose 0 = -m + 5 - 3. Let q be -3*((-6)/18)/(m/62). Suppose -4*f + q = 2*v - 17, -2 = -v. What is the least common multiple of 8 and f? 88 Suppose -509*l = -75441 - 89984. What is the smallest common multiple of l and 35? 2275 Let r = 201568 + -21770723/108. Let v = -14/27 - r. Find the common denominator of v and 3/15*2*-4. 20 Suppose -13 - 7 = 5*f. Calculate the common denominator of ((-3)/f)/((-18)/220) and ((-9)/36)/(40/(-750)). 48 Suppose -365 + 1941 = 4*u. Let k(d) = -12*d**2 - 174*d - 228. What is the lowest common multiple of k(-13) and u? 1182 Let k = -7086 + 42539/6. Calculate the common denominator of -49/304 and k. 912 Let l be ((-2955589)/2926)/13 + 6. Let j = l - -1434/19. Calculate the common denominator of j and -7/4. 44 Suppose 89*m - 140*m = -71*m + 4400. What is the lowest common multiple of m and 2596? 12980 Suppose 0*y - 10*y - 40 = 0. What is the common denominator of y/10*(-5 - (-18)/(-24)) and 9/(-2)*(-34)/6? 10 Let p = 136903/3466 - -2/1733. Find the common denominator of -3 - -1 - (0 + (-106)/8) and p. 4 Suppose -13*h + 1044 = -9*h. Let m = -210 + h. Let f = -38 + 68. Calculate the lowest common multiple of f and m. 510 Let i = -38082524 + 799895371/21. Let s = i - 7730. Find the common denominator of -4/7 and s. 21 Calculate the common denominator of -80/153 and (181/(-36))/(-1 - 261/(-6)). 1530 Suppose -15 = -4*c + 1. Calculate the smallest common multiple of 142/26 + 36/(-78) and c. 20 Let p = 18 + 0. What is the smallest common multiple of (-321)/(-15) + 45/75 and p? 198 Let p = 164913212/15717 + -1690321/338. Let x = p + -5492. Find the common denominator of -43/2 and x. 186 Calculate the smallest common multiple of 5 - 0 - (23 - (-10080)/(-28)) and 57. 342 Suppose -19*g + 193 = -35. Suppose 9*p = 10*p - 14. Calculate the smallest common multiple of p and g. 84 Let t = -52511/6685 + -2/955. Let a be 2*-1 - 11085/6. Let d = -1884 - a. What is the common denominator of d and t? 14 Let w(v) = v**2 - 36*v + 43. Let z be w(34). Let h = 233419/14 + -16680. Calculate the common denominator of (45/6)/(-5) + (-145)/z and h. 70 Let p(n) = -4*n + 17. Let x be p(10). Let i = 26 + x. Suppose -u + 8 = -0*u + 3*j, 3*j = 4*u - 32. Calculate the lowest common multiple of u and i. 24 Let k = -50369 - -6296163/125. What is the common denominator of k and 67/4? 500 Let r = -110 - -192. Suppose 5*m = -3*j + 69, -31*j + 27*j = -m. Calculate the least common multiple of m and r. 492 Let n be 2/(-186)*(9064/(-2272) - -4). Let h = 72617/140864 - n. Find the common denominator of h and 89/16. 64 Let m = -12725649/12265840 - 2/153323. What is the common denominator of m and 41/540? 2160 Suppose 0 = -d + 6*d + 3*t - 22055, 2*t = 4*d - 17666. Calculate the lowest common multiple of 6 and d. 13242 Calculate the common denominator of -17/3 and 1/(-4) - (-195)/21424*44/1. 618 Let p be -4 + 3 + 2 + -111. Find the common denominator of 0 - 278/24 - -1 and p/(-22) - (-216)/(-22). 132 Suppose -6*s - 22*s = -140. Find the common denominator of -1/36 and s*(-8)/(-200) + 196/(-330). 396 Let o = 28/1399357 + 86459265973/313455968. Let i = o + -1938/7. Calculate the common denominator of i and -119/40. 160 Suppose 0 = u - 3*b - 302, 0 = -5*u - b + 669 + 921. Calculate the lowest common multiple of u and 3487. 3487 Let l be (1 + 341/(-330))*(-23564)/(-17). Let g = 756/17 + l. Find the common denominator of 61/45 and g. 45 Let q(d) = -14*d**2 - d - 11*d**3 + 9*d**3 + d + 2. Let z be q(-7). What is the common denominator of z/(-16)*11 - 2 and -1/16? 16 Let k = -611209/36 + 33947/2. Let o = k + 1381/144. What is the common denominator of 141/70 and o? 560 Let k = -323/48 + 125/12. What is the common denominator of k and -33/310? 2480 Calculate the lowest common multiple of 24 and 2/(-3)*(-24)/16 + 20. 168 Suppose -3*n - 15 = 0, 2*y + 4*n = 29 + 41. Suppose 87*i + 1125 = 92*i. Suppose -22*r = -37*r + i. Calculate the least common multiple of y and r. 45 Let q be 4/10 + 24/(-10) + 1263. Let m = q - 3815/3. Find the common denominator of m and (-2)/(-9) + (-76)/99. 33 Let f = -1771368491/30 + 59040073. Let s = f - -5539. Find the common denominator of 82/21 and s. 210 Let a(p) = 16*p**3 + 5*p**2 + 8*p - 29. Let q(s) = -s**3 + 14*s**2 + 30. What is the smallest common multiple of a(2) and q(14)? 270 Let i(q) = q**2 - 8*q + 15. Let h be i(3). Suppose -g - 4*a + 23 = h, 5*g - 10 = -2*a + 33. What is the common denominator of 65/12 and (-4)/g*203/14? 84 Suppose 2*h + 71 = -97. Let o = 134 + h. Suppose -4*i = -8, -3*t = 2*t - 4*i - 92. Calculate the least common multiple of t and o. 100 Suppose 0 = -x - 4*z - 32, 3*z - 6*z = 2*x + 89. Let c = 58 + x. What is the smallest common multiple of 234 and c? 234 Let f(g) = 85*g + 129. Calculate the lowest common multiple of f(3) and 48. 384 Suppose 200 = 25*o - 20*o. What is the common denominator of ((-34)/o)/((-8)/20) and (69/99)/(2/12)? 88 Let y = 435 + -437. Find the common denominator of 116/10 + 2 + -3 and (-61)/y - (-13 + 7). 10 Let o(g) = 597*g + 16123. Suppose -2*h = -2*u + 468, u = 2*u - 3*h - 230. What is the lowest common multiple of o(-27) and u? 236 Let a = 4288/5 + -851. Let l be ((-2)/16)/(1/(-429)). Let o = l + -53. Calculate the common denominator of o and a. 40 Suppose 8*d = 5*d + 6, 2*k + 2 = 5*d. Find the common denominator of (5319/(-441) - -12)*(-238)/k and 163/42. 42 Let g = -27 - 9. Let z = g + 76. What is the lowest common multiple of (-1 + -1 - -3)/(5/z) and 44? 88 Let t(q) = q**3 - 6*q**2 - 30*q + 7. Let j be t(7). Let p = -771 - -2985/4. Find the common denominator of (7/j)/1*-65 and p. 44 Find the common denominator of 97/18 and (-17)/((-4131)/(-18)) - (-1 + (-5649)/(-5022)). 558 Suppose -s + f + f + 14 = 0, 0 = 2*s - 3*f - 25. What is the common denominator of (-18571)/(-46662) - s/44 and 91/2? 606 Let i(s) = -4*s + 88. Let z be i(23). Calculate the common denominator of -45/22 and (-2990)/550 + 6 + (-2)/z. 110 Let r = 2953 - 5961/2. What is the common denominator of r and 83/7844? 7844 Suppose -135 = -d + 656. Let b be 4 + d/28 - 2/8. Calculate the common denominator of 2/(b/12)*164/6 and -143/18. 18 Suppose 0 = 3*i - 3*a + 147, -5*i = -2*i - a + 157. Let j be ((-43959)/i*2)/(33/(-9)). Let c = 444 + j. What is the common denominator of 71/18 and c? 198 Suppose -20 = 6*b - 11*b. Suppose b*p - w - 25 = 0, 0*p + 5*w - 29 = -2*p. What is the lowest common multiple of p and 15? 105 Let l = 311057 - 348383907/1120. What is the common denominator of l and 33/4? 1120 Suppose 3*b + 3 = 4*b - 4*i, -2*b + 2 = -4*i. Find the common denominator of 95/14 and b - (14300/(-696))/11. 1218 Let s be 210/15*((-3)/2)/(-3). Let a = -313/7 + 923/28. What is the common denominator of a and 3 + s/(-2) + 93/(-66)? 44 Let k be (-1)/((-14)/5 - -3). Calculate the lowest common multiple o
{ "pile_set_name": "DM Mathematics" }
-2)? -39 Evaluate (-50)/(-20)*264/(-990)*(28 + 5). -22 What is 21/(-112) - 123475/(-7184)? 17 Calculate (5688/(-252) - -26)/((-9)/(-189)*12/20). 120 Evaluate 2074/1281*-21 - 9. -43 What is (-75)/30*(-312)/(-30)? -26 What is ((-77340)/20624)/(2/20*(-6)/8)? 50 Evaluate 6342/42 - 81 - (10 + (-2 - 2)). 64 Calculate ((-201159)/5768)/(15/(-40)). 93 Evaluate 12*(-20)/(-126) - ((-4)/(-16))/(93/(-992)). 32/7 Calculate (330/11440)/((-3)/(-6) + -2). -1/52 What is (-32)/1216*((-12 - -6) + 2)? 2/19 What is (-1 + (-22)/(-55))*31020/(-132) + -9? 132 Evaluate (-43)/4*6 - ((-23)/6)/((-805)/105). -65 What is the value of (-164)/(-1485) + ((-4810)/(-427350) - (-1)/(-21))? 2/27 (210/98*280/(-160))/(-10) 3/8 Calculate ((-40)/(-12))/(672/(-4032)). -20 What is the value of (-4)/(130/228 - (-5)/(-3 - (35 + -28)))? -57 (2/(-4))/((177/192)/(-59)) 32 Evaluate (-285)/(-11) + (-2601 - -2576). 10/11 What is -21 - (49 + (-204660)/2925)? -2/65 What is the value of 2/(180/27 + -7) + 8/(-272)*-196? -4/17 (-433)/5 + ((-19221)/215 - -90) -86 Calculate (-15 + (-1296)/(-81))/(25/6). 6/25 (44242/16088)/(12/(-40)*5/(-6)) 11 Calculate (-8)/112*24 - (-106786)/(-1498). -73 Evaluate ((-768)/189 - (-10)/(-45))/(69/644). -40 4/120*1*((-252)/(-60) + -5) -2/75 Evaluate (4960/(-14725))/(-4 + (-501)/(-125)) + 8/76. -42 Calculate 2/(-5) - (162044/(-3060) + (-8)/18). 53 What is 40040/(-6864) - (-114)/(-36)? -9 Evaluate (((-224)/(-6))/(-8))/(452/(-2712)). 28 (-6308)/432098 + 496/15207 2/111 Calculate (8/216)/(20/(-1) - 26611/(-1335)). -5/9 (376/24 + -19)/(1960/(-2688)) 32/7 Evaluate ((-2)/39)/(3/18)*(-44 + (-68487)/(-1554)). -2/91 Evaluate 2/12*(-866)/8660. -1/60 Calculate (34 - 4/1*(-2686)/136)/(1/(-1)). -113 What is 450/(-6975) + 1496/124 + -3? 9 What is the value of 26/(-559) + (-77653)/2881? -27 Evaluate (4*5/11*3/12)/(390/780). 10/11 What is the value of 2/(-33) - 35/((-23100)/(-15140))? -23 Evaluate (47/(-423))/(189/69741). -41 5/23 - 6757137/140139 -48 ((-698)/23034)/(10/420) -14/11 Calculate (-2)/(-48)*-6*(95/20 + (-11)/(-44)). -5/4 What is (-12469)/(-296) + 18/(-144)? 42 Evaluate (-84)/(-9)*(316/(-64) - (-4 - 0)). -35/4 Evaluate ((-233)/(-932) + (-158)/(-8))*(15/(-9) + 2). 20/3 What is (-6)/(129/(-75164)*-38)? -92 What is the value of (-5 - 58 - -110) + -57? -10 (-435)/(-725)*((-95)/19 + 575/114) 1/38 ((-6)/9)/((-4 + 2)*(-3)/(-2322)*-6) -43 (-9)/(-15) - (-16 + (-27306)/(-410)) -50 What is (2 - 4)/(697/11152)? -32 What is the value of 17/((-1105)/52)*(-5780)/(-136)? -34 What is -15 + 53 + 6/(-6)? 37 Calculate ((-756)/(-56))/(2160/2720). 17 (-2 - 22/(-3))*(-1053)/108 -52 Calculate (-171)/836*(-352)/(-192). -3/8 Calculate 2384724/40404 - 1062/18. 2/91 Calculate (-9 + (5/10)/((-57)/2318))/(2/(-3)). 44 What is 6 + -3 - ((-58072)/(-3904) + -11 + 0)? -7/8 -10 + (202/(-1515) - 1208/(-60)) 10 ((-6831)/(-495))/(-2 - (-1 - 4)) 23/5 What is the value of ((-240825)/(-200070))/(13/(-3))? -5/18 ((-2)/55)/(3/(-420)*476/(-170)) -20/11 Evaluate (10/((-2400)/220) + 0 + 1)/((-12)/(-126)). 7/8 (-60)/(-150)*2/(-12) + (11 - (-22576)/(-1785)) -12/7 Calculate 12 + (-44)/(-4) + -27 + (-87)/(-3). 25 What is the value of 18975/(-68310)*(-1)/(-5)? -1/18 What is the value of -2 - (1324/(-1986))/(8/(-1044)*(-3 + 0))? 27 Evaluate (-4 - (-11)/3) + 3502/3090. 4/5 What is (-520)/24*23877/14781? -35 What is (105/(-100))/(-1) - (-51)/(-68)? 3/10 What is the value of (-4)/(-20) - ((-103145)/2275 + 46)? -6/13 Evaluate 531/(-24) - (48 - 22 - 49). 7/8 What is 9/(-51) - ((-3192)/(-119) + 10)? -37 Calculate 115317/972 - 120 - (6/14 - 222/126). -1/36 What is (-2*140/16)/((-7500)/3600)? 42/5 What is the value of (-5508)/(-11475) - 34920/79000? 3/79 Calculate 1*(0/(-3) + 2/21)*(-651 + 612). -26/7 (-36)/(-10)*(304 + (-344755)/1146) 57/5 What is ((30/(-24))/(-1))/(1927 + -1932)? -1/4 Evaluate 9/((-288)/224)*(-158)/14. 79 (-10339)/637 + (-100)/130 -17 Calculate (-304)/(-2438)*1 - (-651)/(-6590073)*382. 2/23 Calculate 13/((-91)/12)*(-16 + -19)*87/(-87). -60 What is the value of ((-25)/(-30))/(3672/(-1632))? -10/27 Calculate 27050/(-119020)*(-506)/5. 23 Calculate 310/2635 - 560/2737. -2/23 Calculate (48/(-1320))/(-7 + -609*26/(-2275)). 10/11 Calculate (-92)/1178*-19*-31. -46 Calculate (-29)/((-2262)/416)*-4*(-69)/16. 92 2264/(-1981)*(-42)/11 - (4 + 2)/1 -18/11 Calculate (-15 + (-348)/(-24))*(64/(-10))/((-110)/275). -8 What is the value of 310/496 + 1265/88 - -48? 63 Calculate (-819)/(-1365) + 15/75*(352 - 0). 71 What is the value of 36/1800*-70*24/21? -8/5 What is the value of 275 + (96 - 24432)/156? 119 What is ((-5*(-4)/(-5))/(6/93))/1? -62 Calculate ((1008/(-735))/(-16))/((-36)/30). -1/14 What is the value of 19 + (-203)/11 + (-15)/(2*(-792)/(-64))? -2/33 Calculate (-1790)/396 + 520/115 + (-74)/3404. -2/99 Calculate 11 + ((-14473)/287 - -39) - 1710/(-21). 81 Calculate (-14*99/3696)/(109/16 + -6). -6/13 2*((-9)/(-486)*1107 + (-8 - 1)) 23 Calculate (-1056)/(-128) - (-29)/(-406)*238/4. 4 What is 72 + -21*(-14315)/(-4165)? -3/17 Evaluate (-52)/(-65)*(9545/(-138))/83. -2/3 Evaluate 62/(-52) + (-5)/10 - (-177)/((-186381)/162). -24/13 Calculate (-3)/6 - ((-2)/(-2424))/((-947)/566306). -2/303 Evaluate 2/4 + 0 + (38 - 3078/80). 1/40 Calculate (-55)/(3465/498) - -8 - (-733)/21. 35 What is the value of (-6)/(-27) + 848/(-9)? -94 What is (165/20 + -7)/((-255)/60 - -4)? -5 What is the value of 14/8*-4 + (-2178)/(-264)? 5/4 What is the value of (3/(-80))/(15/(2550/2618) + -16)? 1/16 What is (-10)/(-2) - 26 - (-327)/(-109)? -24 (350/270*48/40)/(-2*(-5)/180) 28 Calculate (4 - (1 + (-2)/(-2)) - 2) + (658 - 665). -7 What is the value of 216/576*(10/(-25) - 362/(-5))? 27 What is 1551/(-44)*(-20)/(-15)? -47 (1015/87)/(-7 - (-80)/12) -35 What is ((-11450)/(-148850))/(2/2002)? 77 What is ((-128)/(-1152))/(9/(-1944))? -24 (((-18)/(-4) - 0)*-8 + -4)*(-680)/(-1360) -20 What is the value of (20 + -17)/(198/(-3036))? -46 Evaluate (4*(-9)/90)/((-3 - -7) + (-84)/30). -1/3 What is 3*(-56)/(-360)*(2244/(-231))/34? -2/15 (-88)/((-28160)/(-1360)) + (-26)/(-2) 35/4 What is ((-1376)/24)/(((-25600)/150)/(-128))? -43 What is the value of ((-1)/3)/(-8 - 116844/(-14616))? 58 Calculate 69/45*15 - 222/6. -14 Calculate ((-118)/(50032/318))/(3/44). -11 What is the value of (84 - 152)/816 + 755/(-12)? -63 Evaluate ((-1225)/(-225))/(4/(-36)). -49 Evaluate (-4)/(-6)*(8050/(-3450))/((-2)/(-72)*-2). 28 (-5 + (2 - -2))/((5/(-46))/(139 + -134)) 46 Calculate (312/(-36))/((-8)/(-20) - ((-1888)/180 - -11)). 78 Calculate (1/((-1)/3))/(11707/184 - 64). 8 Calculate (-6 + (-7)/(-7) + 75/18)*(-1412)/(-5295). -2/9 What is ((2/9)/(2/3))/(256/(-6912))? -9 Calculate ((-6)/40 + 150/200)/((-17)/1275). -45 Calculate (13640/(-279) - -45)*-9. 35 -2*(127 - (-77 + 184)) -40 What is the value of 28/25*(386/1930 + (-92)/(-40))? 14/5 (66/(-44)*4/(-7))/(-21 + (-3066)/(-147)) -6 What is 166/2 + -21 + 74 + -80? 56 -1*(11/4 + (-3490)/1240) 2/31 Evaluate (-40)/(-990)*((-143)/(-286))/((-10)/(-22)). 2/45 What is the value of (-6*5/(-60))/(10*(-12)/840)? -7/2 (-8 - (-63)/18)/(327/168 + 41/(-574)) -12/5 What is the value of (56/(-10))/(10166/(-76245))? 42 (-3875)/(-16275)*15/(-125)*-2 2/35 Calculate 19/(-22) - ((81 - 67) + -23 - 591/(-66)). -9/11 What is ((-80)/64)/(2/(-212))*(23 - (-5355)/(-225))? -106 Evaluate 26*(-48)/1872 + (39/(-27) + 1)*-42. 18 0/(-44) + (-2 + 12)/(-2) -5 -30*57/(18810/44) -4 Calculate -4 - (16/10 - (-34 + (-19074)/(-340))). 33/2 Calculate (((-4756)/435)/41)/((-2)/(4 + 0)). 8/15 What is the value of 62 + -10 + -3 + 4 + 34*84/357? 61 -1 + 14 - (70 + (-3619)/63) 4/9 What is (((-2)/(-6))/((-114)/57))/(592/312 + -2)? 13/8 (-5 + 2)/(-3)*(1862/147 + (-10)/6) 11 Evaluate ((27/(-504))/((-15)/(-25)))/((-1)/((-60)/(-25))). 3/14 Evaluate -5 + -4 - (-10 - (-9)/216*52). -7/6 2*1*((-4161)/(-95))/73 6/5 What is 2/((1148/2009)/((-124)/14)) - (-1 - -12)? -42 What is the value of (-16)/10 - 90944/(-74240)? -3/8 519/18 + (-8892)/(-4104) 31 What is the value of 1/((-4)/(-328)) - (-11 + (240/20 - -10))? 71 Calculate ((-1364)/(-44) - 138/6)*(-2)/60. -4/15 (-3660)/(-48)*8/(-20) - -20 -21/2 What is the value of ((-4719)/(-1452))/((-6)/(-8)) - (-476)/(-96)? -5/8 What is ((-3)/6)/(25 - 34980/1400)? -35 Calculate 38/(-589) + 14*(-130)/9269. -6/23 ((-7)/35*5)/(1420/5920 + (-3)/8) 37/5 What is the value of 1530/(-
{ "pile_set_name": "DM Mathematics" }
ctor of 50 and l. 10 Suppose 2*k - 3*q = 171, -3*k - 2*q - 86 = -4*k. Let s be k/(-35)*(-2 + -3). Let w = 216 + -132. Calculate the greatest common factor of s and w. 12 Suppose -q + 4*q - 72 = 0. Suppose s = 4*m - 2*m - 20, -2*s + m - 25 = 0. Let b = q + s. What is the greatest common divisor of 7 and b? 7 Let d(g) = -g**3 + 2*g**2 + 6*g + 9. Let c be d(-3). Calculate the greatest common divisor of c and 18. 18 Suppose -o - 60 = -5*o. Calculate the highest common factor of o and 5. 5 Let g(n) = 2*n**2 + 13*n - 14. Let i be g(-10). Let z(q) = -q**3 + 8*q**2 + 2*q - 2. Let d be z(8). What is the highest common factor of i and d? 14 Let t = 13 + -3. What is the highest common factor of t and 25? 5 Let r = 5 - 3. Calculate the highest common factor of 5 and r. 1 Let h = -39 + 109. What is the greatest common divisor of h and 175? 35 Let k = -16 - -37. What is the highest common factor of k and 21? 21 Let u(s) = -14*s - 65. Let r be u(-18). Calculate the highest common divisor of 17 and r. 17 Suppose 5*d - 10 = 50. Calculate the greatest common factor of 384 and d. 12 Suppose -140 = -3*n - 38. Calculate the highest common divisor of 136 and n. 34 Let u = -61 + 71. Calculate the greatest common divisor of 5 and u. 5 Let z be -16 - -17 - (26/(-2) + 2). What is the greatest common divisor of z and 30? 6 Suppose -5*k - 10 = -5, 4*p - 3*k = 7. Calculate the highest common factor of 6 and p. 1 Suppose 5*f - 9*f + 12 = 0. Suppose 0 = f*p + 2*r - 150 + 52, p - 21 = -3*r. What is the greatest common divisor of p and 4? 4 Suppose 65 = 3*l - 100. What is the highest common divisor of 5 and l? 5 Suppose 3*f - 19 = 14. Suppose -f - 51 = -2*l. Let u = 11 + l. Calculate the greatest common divisor of u and 6. 6 Suppose 0 + 20 = 2*o + 4*z, -4*z = -3*o - 10. Suppose 0 = a - t - 20, o*t - 73 = -5*a - 8. Let w = 17 + -7. Calculate the greatest common divisor of a and w. 5 Let s = -7 - 16. Let k = s + 38. Calculate the greatest common factor of k and 120. 15 Let m(z) = -2*z - 7. Let i(u) = u + 2. Let b be i(-8). Let h be m(b). Suppose -14 = -h*y + 6. Calculate the greatest common factor of 32 and y. 4 Suppose 0 = 4*b - 7*b - 4*j + 33, 2*b - 5*j = 22. What is the highest common divisor of 99 and b? 11 Suppose 0*n = 2*n + 2*v - 20, -n = 3*v - 6. Let q be (n*1)/((-2)/(-6)). Let m be (8/(-3))/(1/(-9)). Calculate the greatest common factor of m and q. 12 Let k(b) = b**3 - 8*b**2 - 3*b + 6. Let y be k(8). Let p = -11 - y. Suppose -15 + p = -f. Calculate the highest common divisor of 32 and f. 8 Suppose f + 19 = -5*o, 4*f + f = 2*o - 14. Let x be (-1)/3 - 28/o. Let g be (0 + 1 + 0)*1. Calculate the greatest common factor of g and x. 1 Let f be 2*((-20)/14)/(12/(-105)). Calculate the highest common factor of f and 5. 5 Let p(a) = 2*a**2 - 6*a + 7. Let s be p(5). Suppose -2*l + 4 = 0, b - 2*l = -4*l + 7. Calculate the greatest common divisor of b and s. 3 Suppose -4*z + 12 = 0, -2*l + 39 = 3*z - 6*z. What is the greatest common divisor of l and 18? 6 Suppose -3*t + 8*t = 25, -2*t = -3*l + 152. Suppose 4*n + 80 = 9*n - f, 0 = f. Let i = n - 10. What is the greatest common factor of i and l? 6 Let l(g) = -g + 1. Let a be ((-1)/(-2))/(1/(-8)). Let h be l(a). Suppose k + 7 = 3*c, 4*k + 4*c - 25 - 11 = 0. What is the highest common divisor of h and k? 5 Suppose -2*h - 3*h - 20 = 0. Let b be h/14 + 23/7. Let p(w) = 10*w - 4. Let m be p(b). What is the highest common factor of 13 and m? 13 Suppose 5*d - 32 = 3. What is the greatest common divisor of 77 and d? 7 Let i = 19 - -29. Calculate the greatest common factor of 3 and i. 3 Let c = 19 - 11. Let l(b) = 3*b + 13. Suppose 4*q - f = 32, 2*q + 4 = 5*f + 2. Let g be l(q). Calculate the greatest common factor of g and c. 8 Let g = -22 + 26. What is the highest common factor of g and 4? 4 Suppose -j - 2 + 1 = 0, -61 = -2*p - 3*j. Suppose -5*b - 18 = -n, -5*n - 7*b + p = -3*b. What is the highest common divisor of n and 32? 8 Let a be (2 - -1) + 60/(-3). Let g = a + 24. Calculate the greatest common divisor of g and 7. 7 Let r(f) = f**2 - f. Let m be r(-3). Let g = m - 7. Suppose 2*k - 39 = -5*a + 6*k, 0 = g*a - 2*k - 47. What is the greatest common divisor of a and 33? 11 Suppose 2*t + 437 = 4*t - 3*v, -3*t = 4*v - 664. Suppose t = 5*o + 5*z, 136 = -2*o + 5*o + 5*z. Calculate the highest common divisor of 28 and o. 14 Let o be 100/6 + 8/6. Calculate the highest common divisor of o and 18. 18 Suppose -66*o + 61*o = -150. Calculate the greatest common factor of 12 and o. 6 Let i(g) = g**3 + 8*g**2 + 7. Suppose 3*m - 7 = 2*m. Suppose l = -0*l - m. Let s be i(l). What is the highest common factor of s and 7? 7 Suppose 5*m - k = 48, 5*m - 2*k - 18 = 28. Calculate the highest common divisor of m and 10. 10 Let t be 4 + -5 - (-17 + -1 + 2). What is the highest common divisor of 165 and t? 15 Let w be (-15)/(-2)*8/6. Suppose 0 = 2*i - 69 + 9. What is the highest common divisor of i and w? 10 Let m be (1 + -1 + -1)*-38. Suppose 5*t - 3*x - 74 = 0, 0 = t + t + 2*x - 36. Suppose i - m = t. Calculate the greatest common divisor of 36 and i. 18 Suppose 0 = -3*l - 2*k - 51, -6*k + 2*k = 0. Let j = 1 - l. Calculate the greatest common divisor of 72 and j. 18 Let a = 11 - -2. Let i = 31 - -21. What is the greatest common divisor of a and i? 13 Suppose -3*q - 79 + 268 = 0. What is the greatest common divisor of q and 42? 21 Let g(u) = -u**3 - 11*u**2 + 5*u + 18. Let r be g(-12). Calculate the highest common factor of 34 and r. 34 Suppose -2*c + 14 = 5*c. Let t be (-27)/(-18) - (-5)/c. Calculate the highest common divisor of t and 16. 4 Suppose 2*g + 8 = 94. Suppose 5*z - g = -18. Suppose 3*c = z*c - 54. What is the highest common factor of 3 and c? 3 Suppose -2*w + 24 = 3*l, -73 = -5*w - 0*l - l. Let y = 177 + -102. Calculate the highest common factor of w and y. 15 Suppose 2*n = -2*n + 4, -2*t - 5*n + 29 = 0. Calculate the greatest common divisor of 36 and t. 12 Let n = 2 + 2. Suppose f + r + 430 = -4*f, -f - 105 = n*r. Let d = -43 - f. What is the greatest common factor of d and 21? 21 Let q be -2 - (-2)/(-4)*-6. Calculate the highest common divisor of q and 2. 1 Suppose n - 7*n = -114. What is the greatest common factor of 76 and n? 19 Let s = 52 + -25. Calculate the greatest common divisor of 243 and s. 27 Let h = -7 - -11. Suppose h*x - 63 = d, 5*d - 2 = 3. What is the highest common divisor of 24 and x? 8 Suppose 36*g - 31*g - 600 = 0. Calculate the highest common divisor of g and 15. 15 Suppose 0 = -9*w + 12*w - 360. Suppose 0*a + 75 = 5*a. What is the highest common divisor of a and w? 15 Let q be ((147/3)/(-7))/(-2 + 1). Calculate the greatest common factor of 28 and q. 7 Let b = -1 - -14. Let g be -3 + 5 - 0/1. Suppose -4*i + 5*l + 500 = 0, 0*l + 252 = 2*i - g*l. What is the greatest common factor of b and i? 13 Let s be 11 + (1 + -1 - 1 - -4). Calculate the greatest common factor of 98 and s. 14 Let c(i) = 2*i**2 - 50*i - 7. Let b be c(28). Calculate the highest common factor of 23 and b. 23 Let d be 6/21 - (-16)/(-7). Let r be 26/8 + d/8. Suppose -r*s = -18 - 0. What is the greatest common factor of s and 15? 3 Let i be 120/9*1/4*6. Let o be (-5)/((-30)/(-8))*-135. Calculate the highest common factor of i and o. 20 Let x(l) = l**2 - 9*l + 12. Suppose 5*g - 24 = 2*g. Let f be x(g). Suppose -c + f = -8. What is the greatest common divisor of 48 and c? 12 Let n be 5 - ((-474)/6 - 6). Calculate the highest common factor of 10 and n. 10 Let f(b) = -2*b**2 - 14*b + 7. Let p be f(-7). Calculate the greatest common divisor of 1 and p. 1 Let n = -599 + 616. Let j(s) = 21*s**2 + 2*s - 3. Let v be j(2). Calculate the highest common factor of n and v. 17 Suppose -3*k = -11*k + 56. Calculate the greatest common divisor of k and 7. 7 Let n be (28/3)/((-2)/(-3)). Let b(g) = g**2 + 7*g - 8. Let c be b(8). Calculate the highest common factor of c and n. 14 Suppose 0 = 4*z - 211 - 289. Let b = z + -29. What is the greatest common divisor of b and 12? 12 Let u = 5 + -2. Suppose u*h + 0*h - 12 = 0. Suppose h*j - 15 = j. Calculate the highest common divisor of 5 and j. 5 Let y = 5 - -7. What is the highest common factor of 84 and y? 12 Suppose 2*d = 5*d - 45. Calculate the highest common factor of 75 and d. 15 Let w be -47 - (0 + 0)/1. Suppose 77 = -5*h +
{ "pile_set_name": "DM Mathematics" }
False Suppose 3*x - 206 = 64. Suppose -m = -6*m - x. Is (-1642)/m - (-2)/(-9) prime? False Is (201880/44 - 5) + (-2)/11 composite? False Let q = 275 + 290. Suppose -2*r = -3*r + q. Suppose 6*c - r = c. Is c a prime number? True Let c(u) = -10*u + 1. Is c(-3) a prime number? True Let b = 794 + -508. Suppose b = 4*j - 4*y - 78, -j + 83 = 3*y. Is j a prime number? True Suppose -2 = 3*w + 4. Let i be 3/6*(4 - w). Suppose -114 = -i*b + 51. Is b a prime number? False Is -1*(1 - (213 + -1)) a prime number? True Suppose 0 = 5*r - 5*s - 815, -s - 4 = 1. Is r a prime number? False Suppose 4*k = -0*k + 492. Is k prime? False Suppose -d + 2*j + 4 = -2, 13 = 4*d + 3*j. Suppose 94 = 4*t + 5*m, 53 = 3*t - d*m - m. Is t a prime number? False Let a be (-9)/(-6) + (-3588)/(-8). Suppose -a = -7*v + 2*v. Suppose 4*z + 5*y - 116 = 0, -z + 3*y = -4*z + v. Is z a composite number? True Suppose 0*q - q - 2*j + 11 = 0, 4*q + j = 65. Let h(d) = d**3 - 13*d**2 - 12*d - 8. Let m be h(14). Suppose -w + m = -q. Is w composite? False Suppose 0 = -a + 2*a. Suppose -4*m + 3*n + 45 = a, -3*m + 2*n + 11 + 24 = 0. Is m prime? False Let o = 39 + 9. Let t = 7 + o. Is t prime? False Suppose -12*z = -13022 - 29110. Is z a prime number? True Is -2 + 6 - 844/(-4) prime? False Suppose -225 + 5 = 2*n - 2*x, -2*x + 112 = -n. Let j = 159 + n. Let o = j - 18. Is o a prime number? False Let o = -10 - -5. Let r = o + 3. Is r + (70 - -1) + -2 prime? True Suppose 135 = -5*v - 0*v. Is 5962/18 + 6/v a prime number? True Let z(x) = x - 1. Let l be z(1). Suppose 5*d - 427 = -l*m + m, -4*d + 3*m + 346 = 0. Is d prime? False Let q(g) = 21*g + 32. Is q(17) prime? True Let v(m) = -9*m**2 - 28*m - 7. Let c(k) = 5*k**2 + 14*k + 4. Let j(y) = 7*c(y) + 4*v(y). Is j(-11) a composite number? True Is 8/(-4) + 2 - (-3 + -46) prime? False Let f(q) = -q**3 + 9*q**2 - 10*q + 9. Let m(n) = 3*n**3 - 27*n**2 + 30*n - 27. Let y(r) = -11*f(r) - 4*m(r). Is y(7) prime? True Suppose -3*g - 54 = -3. Let a = 120 + g. Is a composite? False Let v = 3729 - 636. Is v a prime number? False Suppose 2*i - 4*u = 382, -4*i = -3*i + 2*u - 179. Is i a prime number? False Let h(g) = -g**3 - 8*g**2 - g + 2. Let x be h(-8). Suppose -2*n - x = 6. Is -4*(294/n - 2) a composite number? True Suppose 0 = -2*v + 1304 + 98. Is v a composite number? False Suppose -4*h = -2*s + 32, 5*h + 32 + 17 = 3*s. Suppose 2*w + s - 128 = 0. Is w prime? False Suppose -4 = -m - 4*d, 0*m = 3*m - d + 1. Suppose m = -3*t + f - 6*f - 52, -3*t = f + 68. Is 0 - (t + 1 - 0) a composite number? False Is ((-471)/2 + 2)*-2 a prime number? True Let a(l) = -36*l + 5. Suppose -x = 2*g + 11, 0 + 9 = -3*g - 3*x. Is a(g) prime? True Suppose -3*d + 170 = -2*d - 5*n, -4*d + 614 = 2*n. Is d a prime number? False Suppose 2*q - 2 = 2*o, 0 = 2*q + 1 - 3. Let m = o - 4. Is (m + 3)/((-2)/8) composite? True Suppose 3*z - 8 = s - 140, -2*s - z = -229. Suppose 3*i - s = 156. Is i a composite number? True Suppose -4*c + 4*o + 1280 = 0, -4*c + 1274 = -0*c + 2*o. Is c prime? False Let d be (2/3)/(4/(-624)). Let b = d - -281. Is b composite? True Let h(k) = 27*k**2 - k - 3. Is h(3) prime? False Let k(y) = -y + 7. Let p be k(-8). Let t be 1/((0 - -3)/p). Suppose 0 = -3*d + t*d - 182. Is d a prime number? False Suppose -4*k + 3*h + 323 = 0, 4*k + 0*h - 318 = 2*h. Is k a composite number? True Let p = -7 + 9. Suppose 4*g - 245 = -3*f, 2*f = -g - p*f + 58. Is g composite? True Let a(c) = -c**2 + 5*c - 5. Let g be a(4). Is 6/3 + g - -2 a prime number? True Suppose u = 5*j - 8, j + 5*u = 3*j + 6. Suppose -21 = -j*k + 11. Suppose 0*h = -4*h - k, -2*h + 324 = 4*q. Is q prime? True Let z(p) = -12*p**3 - p + 1. Let m be z(-2). Suppose 54 = 3*u - m. Is u prime? False Suppose -2742 = -10*f + 4*f. Is f prime? True Let t(a) = 10*a**3 - 2*a + 3. Let s = -7 + 9. Is t(s) composite? False Suppose 0 = l - 0*a + 4*a - 8, 4*l - a = 32. Suppose 0 = 6*q - q - 25. Suppose 3*y = q*b + 43, -l*y + 3*y + 61 = -3*b. Is y a prime number? True Let v = 21 - 30. Is (-2)/(-9) + (-313)/v a composite number? True Suppose -5*w + 109 = u, 2*w + 3*u - 32 - 9 = 0. Is w prime? False Let t(u) = -40*u. Let f be t(3). Let m = f + 169. Is m prime? False Let h be 2/1 - (-3)/3. Suppose -3*y - h*r + 1997 = -139, 5*y = 5*r + 3530. Is y a composite number? False Suppose 13 = -3*r + 28, 699 = -3*f + 3*r. Let u = -142 - f. Is u prime? False Suppose -3*t + 12 = -2*s, 4*t - 2*s + 4 = 18. Suppose 3*c = -t*p + 82, -4*p - c = -0*c - 174. Suppose -2*k + 42 = -p. Is k composite? False Suppose b - 51 = -10. Let n = b + 144. Is n a prime number? False Suppose 4*n + 141 + 224 = 5*a, a = -5*n - 449. Let u = -1 + n. Let v = -52 - u. Is v composite? True Suppose -r = -5 - 7. Let q(s) = s - 7. Let h be q(r). Suppose -b + 97 + 26 = 4*a, -h*a = 4*b - 481. Is b a composite number? True Suppose -3*o - 796 = -3*p - 169, 0 = -5*p - 5*o + 1015. Is p a prime number? False Let z(v) = v**2 - 8*v + 9. Suppose -14 = a - 3*a. Let q be z(a). Suppose -10 = -q*x + 20. Is x composite? True Let v = -28 + 25. Is (-9354)/(-24) - v/(-4) a prime number? True Let m(b) be the first derivative of 4*b**2 - 7*b - 3. Is m(5) a composite number? True Let i(u) = -u**3 + 4*u**2 + 2*u - 4. Let p be i(4). Suppose -p*r + 276 + 212 = 0. Suppose 27 - r = -5*o. Is o a prime number? True Let o(w) = -w**3 - 2*w**2 - w. Let z be o(-1). Suppose z = -0*d - 3*d + 261. Is d a prime number? False Let t(d) be the first derivative of 0 - 3*d**2 - 1 - 2*d - 5*d. Is t(-7) a composite number? True Let o(x) = -x**3 - 6*x**2 + 8*x + 5. Let j(z) = z**3 - 5*z**2 - z - 2. Let w be j(5). Let s be o(w). Let v(n) = -2*n**3 - 3*n**2 - n + 1. Is v(s) composite? False Suppose 0 = -5*x + 2*x + 3, -3*z = 5*x - 650. Suppose 5*t + 20 = q - 10, 4*q - t = z. Is q a prime number? False Suppose -3*o = -626 + 71. Is o a composite number? True Is -2*1*359/(-2) composite? False Suppose -3*h + 33 + 99 = 0. Suppose -3*n + h + 193 = 0. Is n a prime number? True Let h be -3*(-2)/3*-1. Let y be (2 - 2 - h) + -1. Is (2 - y) + (-48)/(-1) prime? False Let d = 168 + -47. Is d prime? False Let w be -3 + (-2 - (-4 + 1)). Let d(x) = 28*x**2 - 3*x - 3. Is d(w) a prime number? False Let q be 4/14 + 368/(-14). Is (0 + -53)/(13/q) a prime number? False Let q(z) = -z - 1. Let r be q(-7). Let k(f) be the second derivative of 7*f**3/6 - 5*f**2/2 + f. Is k(r) composite? False Let y be 18/27*333/2. Suppose -2*n + 4 = 3*b, -5*n - 2*b + 4 = -3*n. Suppose -p - n*p + y = 0. Is p a prime number? True Let g be (-1)/(2/(-1) + 1). Let z = 3 + g. Let o = z - -3. Is o a composite number? False Suppose 107 = -v - 199. Let b = v - -517. Is b prime? True Let f = 2 + -5. Is (-376)/(-12) + 1/f a composite number? False Let b be ((-4)/(-6))/((-6)/(-27)). Suppose n = -i + 86 - 31, 4*i = -b*n + 224. Is i prime? True Let a be (-34)/(-8) - (-3)/(-12). Suppose -2*f - 2*i = -0*f - a, -5*i - 6 = f. Suppose -f*j - 265 = -9*j. Is j composite? False Suppose -346 = -5*c + 389. Let z = c - 101. Suppose -v + z = -0*v. Is v a composite number? True Let u = 5547 - 3748. Is u a prime number? False Is (-2)/(-6)*(868 - -17) prime? False Let y = 31 + -43. Let j = -2 + y. Is (-494)/j - (-8)/(-28) composite? True Let o(m) = 33*m + 13. Is o(6) a composite number? False Let o(k) = -k + 20. Let r be o(0). Suppose -4*p - r = 0, -4*v + 6*p - 4*p + 158 = 0. Is v composite? False Suppose 0 = -2*v + 48 + 106. Suppose -v = -2*x - 9. Suppose -415 = -3*d - x. Is d a prime number? True Let u be (-14)/(-6) - 4/(-6). Let g(r) = 4*r**2 - 3 + 4*r - 1 - r**u + 3. Is g(4) composite? True Suppose 0 = d - 343 + 140. Is d composite? True Let q(u) = -11*u + 4. Let i(a) = -3*a + 1. Let k(r) = 9*i(r) - 2*q(r). Is k(-2) composite? False Let k(o) = -o**3 + 11*o**2 + 4*o - 13. Is k(11) prime? True Suppose -t = -3*b + 3*t + 78, b + 5*t - 7 = 0. Is b composite? True Let k = -74 + 107. Is k composite? True Let n(j) = 2*j**2 + 15*j - 1. Let b = -18 + 25. Let t(r) = 2*r**2 + 16*r. Let x(o) = b*n(o) - 6*t(o). Is x(-8) prime? False Let q be (-1 - -2)/((-1)/(-9)). Suppose -q = -3*b + 9. Suppose -3*u = b, u = -7*x + 2*x + 48. Is x prime? False Suppose 4*a - 6 = 3*f, 2*f = -2*f + 4*a - 8. Let j be (-2 - -2 - f) + 0. Suppose -g = j*g - 75. Is g composite? True Let u = 4 - -2. Let p(m) = 6*m + 10. Is p(u) prime?
{ "pile_set_name": "DM Mathematics" }
4. Solve 4 = -k*f + c*f for f. 1 Let u = -16 - -18. Solve -u*q - 5 = -1 for q. -2 Let z be ((-2)/2 - -1) + 7. Let i be 2/7 + 54/z. Solve -5*f = -f - i for f. 2 Suppose 0 = -4*a + 3*v + 20, -3*v = -2*v + 4. Solve -3*y - a*y - 5 = 0 for y. -1 Suppose 33 = 2*l + t, -2*l + 5*t - 3*t + 18 = 0. Solve -l = 5*v + 11 for v. -5 Let m = 4 + -4. Let a be (1 - 1 - -6) + m. Solve -18 = -4*t - a for t. 3 Let f = -8 + 12. Solve -3*z + 1 = -f*z for z. -1 Let z = -47 + 58. Solve -9 = -4*c + z for c. 5 Suppose -4*m + 9 = -m. Let d be m/(6/4)*3. Let t be 2/(-4) + 63/d. Solve -4*a - t = -2 for a. -2 Let x(l) = l - 3. Let c be x(5). Let z be (-1 - 1)*(-3)/c. Suppose 3*i - 11 = -2*y, -4*i - i + z*y = -31. Solve 3 = -i*v + 8 for v. 1 Suppose -5*u = -9*u + 48. Solve t + u = 4*t for t. 4 Let n = -11 + 13. Solve -n*j = -5*j for j. 0 Let v be 0 + -2 + 1 + (6 - 2). Solve 0 = 2*t - 3 - v for t. 3 Let d be (1 + -1)/(-2 + 3). Solve w = 1 - d for w. 1 Suppose x - 63 = -5*r - 2*x, 4*r - 46 = 2*x. Suppose 2*p = -20*y + 17*y + 9, -7 = -2*p - y. Solve -r = w + p*w for w. -3 Let b(y) = -y**2 + 6*y + 29. Let m be b(9). Solve -13 + 3 = m*d for d. -5 Let o be 51/15 + (-4)/10. Solve 0 = -o*n + 4 - 10 for n. -2 Suppose -2*n = -3*v + 3*n + 29, -5*v - 5*n - 5 = 0. Suppose -5*o + 9 = -6. Solve o*k + 3 + v = 0 for k. -2 Suppose 0 = 3*z + 2*y - 3, 4*z - y = -0*y - 7. Let k = z + 4. Solve 0 - 6 = k*s for s. -2 Suppose 9 = 4*n - 23. Suppose 3*l - 1 = n. Solve -q = -7 + l for q. 4 Let q(l) = -2*l - 6. Let m be q(-4). Suppose 0 = -c + 3, c = 2*p + m*c - 3. Let v(i) = i**3 - 3*i**2 - 4*i. Let u be v(4). Solve u*d + 5*d = p for d. 0 Suppose 0 = -4*m - 0*m + 12. Suppose 0 = m*b - b - 4. Solve 0 = -b*v + 2 - 12 for v. -5 Suppose 2*k = -8, 5*p - k = 19 - 0. Let u be (4/3)/((-2)/(-6)). Let x = u + 1. Solve -x*b = -p*b for b. 0 Let f = -45 + 49. Solve -f*o = -7*o - 9 for o. -3 Let h(s) = s**3 - 4*s**2 - 10*s - 2. Let o be h(6). Solve -f - o = f for f. -5 Let v be ((-5)/(-2))/((-1)/(-2)). Suppose 3*t - 78 = -3*f, -4*t - 64 = -4*f - 0*f. Let l = -7 + f. Solve l = v*n + 4 for n. 2 Let w be 1 - (-4 - (-7 - -2)). Solve 12 = -w*c + 4*c for c. 3 Suppose -r + 5*b + 24 = -0*r, 0 = -5*r - 4*b + 4. Suppose r*x - 14 + 2 = 0. Let u be ((-6)/(-4))/(x/16). Solve -k = k + u for k. -4 Let z(l) = -l**3 - 6*l**2 + 2*l + 8. Let k be z(-6). Suppose 0 = 3*v - 8*v + 50. Let b be k/10 + 44/v. Solve 24 - b = -5*x for x. -4 Suppose -20 = -4*j - 0. Solve -5*c = -0*c - j for c. 1 Suppose 15 = 4*v - 1. Solve q + q = -v for q. -2 Suppose 1 = -4*x - 19. Let p(v) = -v**2 - 7*v - 6. Let f be p(x). Suppose f*l - 2*g = -5*g + 35, g = 5. Solve -11 = 4*s + l for s. -4 Suppose 0 = 2*t - 5*t. Solve t*i + 3 = i for i. 3 Let g(x) = -2*x + 2. Let c be g(-2). Solve 0 = 3*k - c*k + 3 for k. 1 Suppose -4*j + 5 = -3*j. Suppose -j*h - q + 35 = 14, -35 = -3*h + 5*q. Let l = h + -1. Solve y - l*y = 15 for y. -5 Suppose 2*c - c - 6 = 0. Let g = 10 + c. Suppose 5*f = -3*d + 4, 3*f = -0*f + 5*d + g. Solve 7*v - 10 = f*v for v. 2 Let t(h) = -h + 4. Let q = -4 - -4. Let y be t(q). Solve 20 = -x - y*x for x. -4 Let d(a) = -a**2 - 2*a - 2. Let r be d(-3). Let x be 8/20*r/(-1). Solve x*t + 1 + 3 = 0 for t. -2 Suppose 0 = 2*z, -2*q - 2*q + 2*z + 20 = 0. Solve -p - q = -0*p for p. -5 Let p(x) = x**3 - 13*x**2 + 15*x - 35. Let s be p(12). Solve 0 = 5*l - 4 - s for l. 1 Let f(n) = n**2 + 5*n + 9. Let y be f(-2). Solve 0 = y*r + 3 for r. -1 Suppose -20*k + 28*k - 16 = 0. Let q(n) = -n**2 - n + 5. Let j be q(0). Solve -k*v - j = 3*v for v. -1 Suppose -b - 1 = 1. Let s be (1 - 1)*1/b. Solve 0 = -5*w - s*w - 25 for w. -5 Let f(n) = 4*n - 17. Let h be f(5). Let q(p) = -p + 1. Let u be q(0). Suppose -z = -u - 0. Solve -h*r = z - 7 for r. 2 Let i(y) = y**2 + 7*y - 4. Let z be i(-8). Solve -3*u + 1 = z for u. -1 Let f(m) = m**3 - m**2 - 5*m + 2. Let s be f(3). Solve -s*a + 8 = -17 for a. 5 Let f be (-105)/(-75) + 3/5. Solve -3*z + f*z = 0 for z. 0 Let h be 2/(-4)*0/3. Suppose 3*q - 30 = -h*q. Solve 2*f - q = -0*f for f. 5 Let f be 5/25 + 9/5. Solve p + f*p - 6 = 0 for p. 2 Let g(t) = 2*t - 6. Let x be g(5). Suppose 0 = x*o + o - 15. Suppose -3*q + 3*v + 18 = 0, 2*q - o*v - 6 = 9. Solve q*k - 10 = k for k. 5 Let y(o) = o + 18. Let i be y(-18). Solve i = -t + 2*t for t. 0 Suppose 2*o + c + 21 = 6*c, -3*c + 9 = -3*o. Solve -2*z + o = 10 for z. -4 Suppose 5*z = 2*z - 9. Let l = z - -3. Suppose 3*m - 5 - 7 = l. Solve u - m = -1 for u. 3 Let a be (-32 - -2)/(-2) + -1. Suppose -u = u - a. Let f(k) = -k**2 + 10*k - 9. Let y be f(u). Solve 3*r - y = -0 for r. 4 Let g(z) = -z**2 + z + 4. Let n(w) = 1. Let a(c) = -g(c) + 2*n(c). Let s be (-1)/(2/(8/2)). Let u be a(s). Solve u*h + 2 = -2 for h. -1 Let b be 10 - 4/(-2)*-1. Let p(y) = -y + 14. Let u be p(12). Let s be 1 - -1 - (u - 4). Solve b = -0*z + s*z for z. 2 Suppose 2*x = p + 5 - 13, -p = -3*x - 12. Solve -3*m + p*m = -12 for m. 4 Let w = -70 + 75. Solve w*v - 3 = 2 for v. 1 Let s be (2 + -8)*(-16)/6. Suppose 4*n = 3*n - 2*c - 8, 4*c = -n - s. Solve -6*g + 3*g - 6 = n for g. -2 Let i = 14 + -12. Solve -2*n - 4 + i = 0 for n. -1 Let n be 7/(14/20)*-1. Let q = -11 - n. Let x be (-3)/1 + (2 - q). Solve -4*p + x*p = -20 for p. 5 Suppose 4*k - 17 - 12 = 3*z, 4*k - 33 = -z. Suppose -20 = -2*d + 8*w - 4*w, 2*d = 5*w + 23. Solve -k = -0*o - d*o for o. 2 Let d be 1/4 + (-38)/(-8). Let z = d + -3. Solve g - 1 = z*g for g. -1 Let a = 9 + -3. Let r = -7 + 4. Let x = a + r. Solve p = x*p - 10 for p. 5 Suppose 0 = -6*v - 168 + 192. Solve v*c + 0 = -12 for c. -3 Let r(w) = -3*w - 29. Let c be r(-12). Solve 0 = -2*a + c*a + 25 for a. -5 Suppose 5*k - 144 = -24. Suppose k = t + 3*t. Suppose -t = -2*y + 2*f + 6, -8 = 4*y + 4*f. Solve -y*w = -w for w. 0 Suppose -2*s + 13 = 3*c, -6 = -2*c - 5*s + 10. Solve -4*m - 1 = -c*m for m. -1 Let s = -12 + 16. Solve s*l + 7 = -1 for l. -2 Let f be ((-6)/12)/(-1 - 27/(-30)). Solve -2*w + 3 = -f for w. 4 Suppose 3*q - h + 4*h - 18 = 0, 2*h = -3*q + 22. Let v(y) = -y**2 + 11*y - 4. Let c be v(q). Solve -p - c = p for p. -3 Suppose -2*d - 5*b + 33 = 0, -d = -3*b + 18 - 7. Let s = d + -4. Suppose -l - l = s. Solve 0 = 5*u + 25 - l for u. -5 Suppose -4*q = 3*q - 175. Solve 2*g = -3*g + q for g. 5 Suppose -4*f + 3*h + 6 = 0, 4*h + 11 = 3. Let b(l) = -l**3 - l**2 + l + 2. Let t be b(f). Solve -t = -3*q + 5*q for q. -1 Suppose u - 2*g = -3*g + 17, 0 = -4*g + 20. Let x = 85 + -80. Solve d = x*d - u for d. 3 Let f(w) = -2*w + 19. Let v be (-194)/(-22) - 4/(-22). Let u be f(v). Solve -l = -4 - u for l. 5 Suppose 0 = -3*v - y - 0 + 7, -v + 3*y + 19 = 0. Suppose 0 = -m - 4*d + 2, -4*d = 4*m - 17 - 3. Suppose -3*r = -6 - 6. Solve -r*b = -m*b - v for b. -2 Let w(u) = u**2 - 4*u + 3. Let a be w(3). Let p = 3 - a. Suppose 2*c = c + p. Solve 0 = 2*x + 3 + c for x. -3 Let p = -33 - -38. Solve p*l = -0*l - 25 for l. -5 Let p be (-4 - -5)/((-2)/(-16)). Let a(l) = l**3 - 8*l**2 + l - 2. Let b be a(p). Let q(x) = -x + 1. Let w be q(1). Solve 2*j - b*j = w for j. 0 Let j be (-1)/2*(-3 + 3). Solve -2*q + 6 = -j*q for q. 3 Let i(b) = 19*b**2 + b. Let p be 6/18 - 2/(-3). Let t be i(p). Solve 2*u + t = -2*u for u. -5 Let j = -7 + 12. Suppose 0*q + 2*i = j*q + 10, -2*q - 2*i = -10. Solve 3*n - 2*n + 3 = q for n. -3 Let i(t) = t**3 + 2*t**2 + 2. Let o be i(-2). Solve -r = o*r for r. 0 Let d = 5 + 3. Suppose -2*g + 22 = 3*q, d = 2*q + 4*g - g. Solve -2*l + 7*l = -q for l. -2 Let t = 64 - 25. Let c = t - 14. Solve -4*r = -9*r - c for r. -5 Suppose 4*l - 3 = -7, p - 3 = -l. Let c(f) = -f**2 + 2. Let o be 1/(-5) + (-2)/(-10). Let n be c(o). Solve 2*m - p + n = 0 for m. 1 Let o(v) be the first derivative of v**3/3 - 7*v**2/2 - 4*v - 6. Let m be o(8). Solve m*f - 10 = -f for f. 2 Let h be 8 - (-4)/((-16)/(-12)). Suppose -2*t + 45 = -m, 4*m + h = -9. Solve t + 5 = 5*w for w. 5 Suppose 16 + 12 = 7*v. Let h(o) = o**3 + 4*o**2 + 3*o + 2. Let k = -5 + 2. Let x be h(k). Solve -v*r - 4 = -x*r for r. -2 Suppose w + 28 = 3*l, 2*l + 3*w - 1 = 3. Suppose 3*o + 6*b - b = 37, 4*b = 4*o + 4. Suppose 3*x = -5*h + 21, l*x - 4*h = o*x - 4. Solve 11 = 3*a + x for a. 3 Let i be 1 + 0 - (2 - 14). Let z = -9 + i. Solve 9 = z*l - 3 for l. 3 Suppose -15 = -2*y - y. Suppose -60 = -y*l - 25. Let n(d) = -6*d - 4. Let u be n(-4). Solve -2*k + u = -l*k for k. -4 Su
{ "pile_set_name": "DM Mathematics" }
7. Calculate k(-9). 0 Let t(b) = -b**2 - 9*b - 3. Calculate t(-9). -3 Let x(d) = -21*d + 4. Determine x(1). -17 Let a(k) = k**3 + 20*k**2 - 22*k + 7. Determine a(-21). 28 Let s(p) = p**3 - p**2 + p + 2. Determine s(-2). -12 Let s(n) = 22*n - 411. Determine s(20). 29 Let c(z) = z**2 + 5*z + 12. What is c(-8)? 36 Let f(d) = d**3 - 9*d**2 - 9*d - 2. Determine f(10). 8 Let u(l) = -l**2 - 9*l - 3. What is u(-2)? 11 Let j(t) = 2*t**2 - 6*t + 2. Calculate j(4). 10 Let h(n) = n**3 + 2*n**2 + 5*n + 4. Calculate h(-2). -6 Let i(w) = 2*w - 12. Determine i(10). 8 Let w(h) = -2*h**2 - 12*h - 2. Give w(-6). -2 Let k(j) = j**2 + 7*j - 27. What is k(-11)? 17 Let h(f) = -7*f - 46. Determine h(-6). -4 Let z(h) = 11*h + 2. Give z(4). 46 Let x(b) = -b**3 - 16*b**2 + 37*b + 24. Determine x(-18). 6 Let h(d) = -d**3 - 21*d**2 - 23*d - 21. Determine h(-20). 39 Let j(k) = k**2 + 5*k - 4. What is j(-8)? 20 Let i(m) = -m**2 - 15*m - 60. Calculate i(-5). -10 Let u(l) = -2*l**2 - 11*l + 2. Give u(-6). -4 Let d(y) = -2*y**2 + 13*y + 24. Calculate d(8). 0 Let m(t) = t**3 - 27*t**2 + 27*t - 18. Determine m(26). 8 Let f(g) = 29*g - 2. Determine f(-1). -31 Let q(h) = -3*h**3 + h**2 + 3*h + 2. Give q(3). -61 Let k(g) = g - 13. Calculate k(19). 6 Let s(d) = d**3 - 14*d**2 + 3*d + 1. Calculate s(14). 43 Let x(r) = 4*r - 11. What is x(5)? 9 Let n(w) = -w**2 - 10*w + 18. Give n(-8). 34 Let p(v) = 2*v**2 - 50*v - 55. Determine p(26). -3 Let m(p) = p**2 + 6*p + 11. Give m(-2). 3 Let o(j) = j**3 - 6*j**2 + 5*j + 7. What is o(6)? 37 Let k(h) = -h**3 + 20*h**2 - 19*h - 1. What is k(19)? -1 Let r(l) = -l**3 + 22*l**2 - l + 24. What is r(22)? 2 Let y(c) = -c**3 + 4*c**2 + 2*c - 13. Determine y(0). -13 Let o(g) = -21*g - 430. Give o(-20). -10 Let j(l) = -l**2 + 11*l - 7. Determine j(9). 11 Let c(l) = -16*l**3 + 2*l + 2. Determine c(-1). 16 Let q(l) = -l - 5. What is q(14)? -19 Let l(f) = -f**2 + 3*f - 51. Give l(0). -51 Let c(z) = -2*z**2 - 53*z + 209. Calculate c(-30). -1 Let n(k) = 12*k - 48. Give n(4). 0 Let c(k) = -2*k - 9. Give c(3). -15 Let m(l) = l**3 - 4*l**2 - 14*l + 8. Determine m(6). -4 Let x(q) = q**3 + 9*q**2 + 13*q - 8. Give x(-6). 22 Let t(n) = n**3 - 8*n**2 + 9*n - 1. Calculate t(7). 13 Let m(c) = -c**2 + 39*c - 372. Calculate m(15). -12 Let y(c) = 9*c**2 + 1. Determine y(-1). 10 Let d(k) = k**2 - 30*k + 34. What is d(28)? -22 Let s(k) = k**3 + 9*k**2 + k - 16. Give s(-8). 40 Let w(i) = -i**2 + 15*i - 3. Determine w(6). 51 Let a(u) = -u**3 - 13*u**2 + 2*u + 25. Determine a(-13). -1 Let j(s) = -s**3 + 3*s**2 + 4*s + 14. Give j(5). -16 Let q(x) = 7*x - 6. Calculate q(-3). -27 Let b(a) = -a**3 - 34*a**2 - 5*a - 151. What is b(-34)? 19 Let b(o) = o**3 + 5*o**2 - 8*o - 7. What is b(-6)? 5 Let l(k) = k**3 - 28*k**2 - 27*k - 69. Calculate l(29). -11 Let u(n) = n**3 - 37*n**2 - 39*n + 32. What is u(38)? -6 Let c(i) = i**3 + 2*i**2 + 2*i - 55. What is c(0)? -55 Let r(h) = h**2 - 25*h - 64. What is r(27)? -10 Let s(n) = -n**2 - 32*n - 242. Determine s(-20). -2 Let k(s) = -s**3 + 10*s**2 + 11*s - 12. Calculate k(11). -12 Let n(t) = t**2 - t + 23. Determine n(0). 23 Let i(t) = 115*t + 114. Give i(-1). -1 Let c(r) = r**3 + 7*r**2 + 7*r - 4. Give c(-6). -10 Let p(d) = -d**2 + 25*d + 120. Calculate p(29). 4 Let x(p) = -2*p**3 + 13*p**2 + 23*p + 8. Calculate x(8). 0 Let d(v) = -9*v - 94. Determine d(-10). -4 Let d(n) = n**3 + 15*n**2 + 13*n + 8. What is d(-14)? 22 Let v(g) = g**3 - 6*g**2 + 3*g + 9. What is v(5)? -1 Let d(m) = m**3 + 5*m**2 - m - 1. What is d(-5)? 4 Let k(d) = 2*d - 57. Give k(25). -7 Let w(j) = 14*j**2 - 79*j - 79. Determine w(-1). 14 Let g(o) = -5*o - 13. Calculate g(-6). 17 Let l(n) = -n**3 - 16*n**2 + 17*n + 6. Calculate l(-17). 6 Let r(d) = d**2 - 14*d - 7. Determine r(10). -47 Let p(i) = i - 16. Give p(16). 0 Let j(l) = -l**3 + 9*l**2 - 9*l + 5. Determine j(6). 59 Let j(y) = -5*y**2 + 2*y - 1. Give j(1). -4 Let p(j) = j**2 - 3*j - 7. Give p(7). 21 Let r(i) = -6*i**3 + i + 1. Calculate r(-1). 6 Let o(i) = -i**2 + 2*i - 4. Determine o(2). -4 Let z(b) = -b - 3. What is z(18)? -21 Let n(c) = -2*c - 49. Calculate n(0). -49 Let o(w) = w**3 - 30*w**2 + 28*w + 31. Calculate o(29). 2 Let q(l) = 7*l + 71. Determine q(-13). -20 Let s(d) = -4*d**2 + 3*d + 1. Give s(-2). -21 Let j(o) = -14*o + 226. What is j(16)? 2 Let q(r) = r**2 - 7*r - 2. Calculate q(5). -12 Let l(t) = t**3 + 8*t**2 - 7*t - 7. What is l(-9)? -25 Let a(y) = y**3 - y**2 - y - 43. Give a(0). -43 Let j(d) = d**3 + 2*d**2 - d. Calculate j(-3). -6 Let g(b) = 36*b + 332. Calculate g(-9). 8 Let a(v) = 2*v - 5. Give a(6). 7 Let r(l) = l**3 - 7*l**2 + 5*l + 3. Give r(5). -22 Let f(n) = -n**3 + 7*n**2 + 11*n - 17. Give f(8). 7 Let x(r) = r**2 - 3*r + 2. What is x(2)? 0 Let b(f) = -2*f**3 - f**2 - 2*f - 94. What is b(0)? -94 Let u(n) = n**3 + 8*n**2 + 15*n + 16. Calculate u(-6). -2 Let h(v) = -2*v + 6. What is h(10)? -14 Let b(m) = -3*m**3 - 2*m**2 + 1. Determine b(-2). 17 Let g(z) = z. What is g(6)? 6 Let l(x) = 3*x - 1. Calculate l(-7). -22 Let n(k) = -k**2 - 5*k - 7. Calculate n(-4). -3 Let a(p) = -p**3 + 5*p**2 + 7*p - 7. Give a(6). -1 Let r(j) = -j**3 + 14*j**2 + 16*j - 7. Calculate r(15). 8 Let p(m) = -m**3 - 3*m**2 - 6*m - 3. Determine p(-2). 5 Let d(u) = u**3 - 2*u**2 + 8*u. Give d(4). 64 Let t(q) = -q**3 - 2*q**2 + 5*q + 4. Calculate t(-3). -2 Let x(m) = -15*m - 2. Give x(2). -32 Let w(m) = 9*m**2 + 2*m - 2. Calculate w(2). 38 Let z(f) = f**3 + 3*f**2 + 2*f + 2. Calculate z(-6). -118 Let f(w) = -w**3 - 16*w**2 + 34*w - 37. Determine f(-18). -1 Let h(f) = -f**2 - 50*f - 632. Determine h(-26). -8 Let s(q) = q**3 + 2*q - 2. What is s(-3)? -35 Let i(v) = v**3 + 10*v**2 - 9*v + 16. Determine i(-11). -6 Let k(y) = -y**2 + y - 14. Calculate k(4). -26 Let x(k) = 2*k**2 - 19*k + 7. Calculate x(9). -2 Let v(o) = 9*o - 82. Give v(10). 8 Let o(t) = -8*t + 29. Calculate o(3). 5 Let q(y) = -y**2 + 15*y + 11. Calculate q(15). 11 Let v(z) = -10*z + 3. Calculate v(-3). 33 Let f(d) = -6*d - 23. What is f(-5)? 7 Let q(j) = -j**3 + 4*j**2 + 4*j + 3. Calculate q(-2). 19 Let m(y) = y**3 - 2*y**2 + 6*y - 3. Calculate m(4). 53 Let r(t) = t**2 - 3*t - 7. Give r(5). 3 Let p(w) = -3*w + 9. Calculate p(-3). 18 Let i(u) = 42*u + 75. Determine i(-2). -9 Let r(k) = k + 7. Give r(-8). -1 Let v(w) = w**3 - 5*w**2 - 3. Calculate v(5). -3 Let s(f) = f + 1. Give s(3). 4 Let y(o) = -o + 6. Determine y(-4). 10 Let z(q) = -q**3 + 11*q**2 + 4*q + 28. Give z(10). 168 Let t(l) = l**2 + 8*l - 192. Determine t(10). -12 Let h(u) = -u**2 - 6*u - 6. Give h(-8). -22 Let j(d) = -d**2 - 11*d + 18. Calculate j(-9). 36 Let t(b) = -b**2 - 22*b - 26. What is t(-21)? -5 Let n(h) = -5*h + 1. Give n(-6). 31 Let l(n) = -n**2 + 14*n + 20. Give l(8). 68 Let j(d) = -2*d + 5. Calculate j(7). -9 Let p(s) = s**2 + 7*s + 7. What is p(-4)? -5 Let m(g) = 2*g**2 - 16*g - 19. Determine m(9). -1 Let j(b) = -b**3 + 12*b**2 - 10*b - 8. What is j(11)? 3 Let h(n) = 4*n - 56. Determine h(13). -4 Let c(v) = v**3 - 11*v**2 + 6*v - 36. What is c(11)? 30 Let w(l) = 13*l**2 - l - 4. What is w(2)? 46 Let q(v) = v**2 - 5*v + 5. Calculate q(3). -1 Let r(o) = -33*o. Determine r(-1). 33 Let y(a) = -11*a - 256. Determine y(-23). -3 Let b(m) = 10*m - 3. Calculate b(-1). -13 Let i(f) = -43*f + 239. Determine i(5). 24 Let u(y) = y**2 - 24*y - 7. What is u(24)? -7 Let z(i) = i - 11. Calculate z(4). -7 Let b(d) = d**2 - 5. Calculate b(3). 4 Let l(k) = 17*k + 2. Calculate l(2). 36 Let a(i) = -i**2 - 32*i - 130. What is a(-28)? -18 Let q(y) = -y - 11. What is q(-14)? 3 Let b(c) = -10*c - 4. Calculate b(3). -34 Let o(v) = -v**3 + 4*v**2 - 2*v - 1. What is o(5)? -36 Let z(a) = a**3 - 7*a + 10. Calculate z(-3). 4 Let v(d) = -24*d - 88. What is v(-4)? 8 Let p(g) = g**3 + 9*g**2 - 7*g. Give p(-10). -30 Let i(p) = 9*p - 83. Calculate i(13). 34 Let f(b) = b + 9. What is f(-12)? -3 Let o(l) = -l**2 - 8*l + 78. Determine o(-11). 45 Let o(i) = -i**3 + 11*i**2 - 13*i + 4. What is o(10)? -26 Let c(t) = -t**3 - 2*t**2 - 14*t - 21. What is c(-3)? 30 Let i(b) = -3*b**2 - 21*b - 10. Determine i(-11). -142 Let a(v) = -4*v - 4. What is a(7)? -32 Let y(l) = 18*l + 238. Give y(-13). 4 Let r(z) = -z**2 + 18*z - 23. Give r(17). -6 Let m(a) = -a - 47. Give m(-9). -38 Let k(q) = q - 5. Determine k(-16). -21 Let x(k) = k**3
{ "pile_set_name": "DM Mathematics" }
hest common factor of 1102 and 89177494. 58 Calculate the highest common divisor of 17051 and 1577129. 59 What is the greatest common divisor of 27020 and 74992080? 3860 What is the greatest common divisor of 339696824 and 752? 376 What is the highest common divisor of 238 and 2000164138? 238 What is the greatest common factor of 4023018 and 3286? 106 What is the highest common divisor of 122799519 and 9? 9 What is the greatest common factor of 574626 and 1209? 39 What is the highest common factor of 60216 and 248? 8 Calculate the greatest common divisor of 1820 and 3969000. 140 Calculate the greatest common divisor of 952003 and 998166. 871 Calculate the greatest common divisor of 190943 and 3163853. 2417 What is the highest common factor of 809645 and 2825? 565 Calculate the greatest common divisor of 7584303 and 4695. 939 What is the highest common factor of 5824 and 528801? 91 Calculate the highest common divisor of 46195004 and 57. 19 Calculate the highest common factor of 608 and 96430928. 304 Calculate the greatest common divisor of 555256944 and 9072. 1296 What is the greatest common factor of 41910 and 1066890? 330 Calculate the highest common divisor of 179018 and 167846. 266 What is the greatest common factor of 3777 and 31425? 3 Calculate the greatest common factor of 4273295 and 910. 65 Calculate the greatest common factor of 137 and 291673. 137 What is the greatest common divisor of 47196126 and 36? 18 Calculate the greatest common divisor of 51640290 and 1818. 1818 Calculate the highest common divisor of 6 and 1909654. 2 What is the highest common factor of 148685 and 11266? 131 What is the greatest common divisor of 56 and 16379076? 28 Calculate the highest common factor of 46848 and 542412. 732 What is the highest common factor of 984 and 70366701? 123 What is the highest common divisor of 35 and 5780901770? 35 What is the greatest common factor of 4761742 and 40528? 298 Calculate the highest common divisor of 27 and 4829193. 27 What is the greatest common factor of 1167494770 and 130? 130 What is the greatest common factor of 23090487 and 42? 21 Calculate the highest common factor of 8610 and 4904830. 2870 Calculate the greatest common factor of 103 and 1580675904. 103 What is the greatest common factor of 2272708 and 20? 4 What is the greatest common divisor of 3315 and 3502367115? 3315 What is the highest common divisor of 1674343 and 99? 11 What is the highest common divisor of 218554406 and 490? 98 Calculate the highest common divisor of 12 and 23004921. 3 What is the greatest common divisor of 174 and 4531362? 6 What is the greatest common divisor of 136024 and 55492934? 4858 What is the highest common divisor of 99 and 582374100? 33 Calculate the greatest common divisor of 8351 and 1202351927. 8351 What is the highest common factor of 67300632 and 296? 296 Calculate the greatest common divisor of 1039278910 and 19. 19 What is the greatest common divisor of 22990 and 97284? 242 Calculate the highest common factor of 6 and 493586. 2 Calculate the greatest common divisor of 2925378 and 244940. 662 Calculate the highest common divisor of 1656704 and 282688. 448 What is the greatest common divisor of 331364 and 54604? 748 What is the highest common factor of 127329 and 8? 1 What is the greatest common divisor of 1383485 and 175? 5 What is the highest common divisor of 4362420 and 610? 10 What is the highest common factor of 5379128 and 1339844? 3292 Calculate the highest common factor of 58 and 167902083. 29 Calculate the highest common divisor of 827066 and 2. 2 What is the greatest common factor of 45740 and 67940? 20 Calculate the highest common divisor of 23805 and 12064995. 1035 Calculate the highest common factor of 969 and 6431899. 323 What is the highest common divisor of 1204 and 6992188? 28 Calculate the greatest common factor of 2861960 and 360. 40 What is the highest common factor of 132300 and 31986? 18 What is the greatest common factor of 1433975 and 7? 1 What is the highest common factor of 8019 and 2728? 11 Calculate the highest common factor of 918 and 13615674. 102 Calculate the greatest common divisor of 340 and 3673820. 20 Calculate the greatest common divisor of 12240 and 94945. 85 What is the greatest common factor of 60877098 and 63? 9 Calculate the greatest common divisor of 32522 and 461104. 322 What is the greatest common factor of 45 and 14133267? 9 What is the greatest common divisor of 4923 and 1828621? 547 What is the greatest common factor of 35580 and 24315? 15 Calculate the greatest common divisor of 37 and 67493328. 37 What is the highest common divisor of 63652345 and 3028? 757 Calculate the greatest common divisor of 54 and 12457215. 9 What is the highest common factor of 783 and 38851039? 29 What is the highest common divisor of 879424 and 4472? 104 What is the greatest common divisor of 271406 and 35114? 194 What is the highest common factor of 40 and 53026660? 20 What is the greatest common divisor of 854 and 13149262? 14 Calculate the greatest common divisor of 47 and 6964836. 47 Calculate the highest common factor of 18612 and 13668446. 1034 Calculate the greatest common factor of 46546 and 8928618. 2738 Calculate the greatest common divisor of 3859 and 2415053. 227 What is the greatest common factor of 613 and 2380784112? 613 What is the highest common divisor of 95198686 and 12? 2 What is the highest common divisor of 173 and 20936287? 173 Calculate the greatest common divisor of 2530 and 205931. 11 Calculate the highest common divisor of 64 and 165598688. 32 What is the highest common factor of 554587 and 1188? 11 What is the highest common factor of 42 and 94233643? 7 What is the highest common factor of 19780267 and 845? 169 Calculate the greatest common factor of 1821554 and 2898. 322 What is the highest common factor of 1388120 and 3280? 40 What is the highest common divisor of 1102430 and 765? 5 What is the greatest common divisor of 6 and 158199002? 2 What is the greatest common factor of 4646 and 13692974? 202 Calculate the highest common divisor of 1073041444 and 3028. 3028 What is the greatest common factor of 76945290 and 30? 30 Calculate the highest common divisor of 123127494 and 219. 219 Calculate the greatest common divisor of 4941550 and 10. 10 Calculate the greatest common factor of 38528510 and 5480. 1370 Calculate the greatest common divisor of 168 and 60457264. 56 Calculate the highest common factor of 21385 and 27265. 35 Calculate the greatest common factor of 1839954328 and 1208. 1208 Calculate the highest common divisor of 2780 and 1672420. 20 What is the highest common factor of 4 and 14104978? 2 What is the greatest common factor of 204 and 3478764468? 204 Calculate the highest common divisor of 7751894 and 6. 2 Calculate the highest common factor of 5664240 and 450. 90 Calculate the greatest common factor of 480370 and 450. 10 What is the greatest common divisor of 693015 and 19035? 705 What is the highest common factor of 19443544 and 21484? 524 What is the highest common divisor of 6438 and 307284? 174 What is the highest common factor of 14760720 and 1620? 180 Calculate the greatest common factor of 599640744 and 164. 164 What is the greatest common factor of 141955 and 21805? 445 Calculate the greatest common divisor of 155530 and 8652. 206 Calculate the greatest common divisor of 5822 and 3679996. 82 Calculate the greatest common divisor of 72740807 and 85. 17 Calculate the greatest common factor of 2932 and 442564876. 2932 Calculate the highest common divisor of 350 and 21550. 50 Calculate the greatest common divisor of 84180 and 5954820. 3660 What is the highest common factor of 52282214 and 4384? 274 Calculate the highest common factor of 175 and 62809390. 35 What is the highest common divisor of 2232 and 248054715? 279 Calculate the greatest common divisor of 7708911130 and 4910. 4910 What is the highest common divisor of 326707266 and 438? 438 What is the highest common factor of 28056205 and 3955? 565 Calculate the greatest common divisor of 227432 and 160. 8 What is the highest common factor of 363110 and 109065? 55 Calculate the greatest common factor of 171943236 and 24786. 2754 What is the highest common factor of 237740 and 86660? 20 C
{ "pile_set_name": "DM Mathematics" }
+ (-1 - -1))*1/(-3). Let y(w) = 2*w - 6. Calculate y(h). -6 Let w(g) = -2*g**2 - 5*g + 12. Suppose 4*y + 16 - 6 = 5*m, 0 = 4*m - 5*y + 1. Let l(d) = d**2 + 3*d - 6. Let p(k) = m*w(k) + 11*l(k). Determine p(6). -12 Let g(p) = -3 - 1 + 6 + 6*p**2 - 4 + p**3. Let n = 15 + -21. Give g(n). -2 Let a(c) = 3*c + 1. Let q(l) = l. Let w(j) = -a(j) - 2*q(j). Let d(h) = 9*h + 2. Let m(n) = 4*d(n) + 7*w(n). Determine m(5). 6 Let c be (-2)/(-20)*-6 - 39/(-15). Let b(p) = -p**2 + 3. Calculate b(c). -1 Let h(r) be the third derivative of -r**4/8 - 3*r**3/2 + 35*r**2 - 2. Calculate h(-4). 3 Let z(n) = n + 6. Let r(c) = c - 9. Let x be r(-10). Let a = -23 - x. Let q be 0*(-4)/48*a. Determine z(q). 6 Let x(y) be the third derivative of -y**8/20160 + y**7/720 + y**6/120 + y**5/5 + 9*y**2. Let w(j) be the third derivative of x(j). Calculate w(8). -2 Let i(b) = b**3 - 2*b**2 + 2*b - 9. Let f(a) = 3*a**2 - a + 1. Let y(s) = -3*f(s) - i(s). Let k be 2/(-11) + (-600)/88. Give y(k). -1 Let k(h) = -1 - 6 - 5*h + 9 + 4*h. What is k(-5)? 7 Let v(o) = 50*o**2 + 14*o**2 + o - 63*o**2. What is v(3)? 12 Let w(a) = -12*a**2 - 8*a**2 - 69788*a + a**3 + 69766*a + 28. What is w(21)? 7 Let f(i) = -i**3 + 5*i**2 + 9*i + 3. Let z(q) = 2*q**3 - 10*q**2 - 18*q - 4. Let p(s) = 5*f(s) + 2*z(s). What is p(7)? -28 Let i(q) = -1 - 5*q**2 - q + 7*q + 0 + 4*q**2. Suppose 51 = -4*g - v, v = -g - 4*g - 63. Let h be (27/(-6))/(g/16). Determine i(h). -1 Let x(a) = -a**3 + 12*a**2 + 13*a + 3. Let h be x(13). Let b(o) = o**3 - 4*o**2 + 5*o - 2. Give b(h). 4 Let u(c) = 3*c**3 - 4*c**2 - 3*c + 1. Let k(m) = -149*m - m**2 + 75*m + 75*m - 1 - m**3. Let p(r) = -2*k(r) - u(r). What is p(6)? 7 Let g(p) = -8*p - 5. Let b(m) = 9*m + 6. Let t(h) = 4*b(h) + 5*g(h). Give t(1). -5 Let x(p) = 4*p + 27. Let y(w) = w + 8. Let v(t) = 2*x(t) - 7*y(t). Determine v(7). 5 Let p(a) = 2*a**2 + 4*a + 2. Let g be p(-2). Suppose -3*k + 9 = 0, -4*k - 7 = g*o - k. Let z(x) = -2*x - 6. What is z(o)? 10 Suppose 0 = -3*q - 3*c + 6, -2*q - 5*c = -8 + 1. Let l(d) = 5*d - 11. Let b(n) = n - 1. Let g(j) = q*l(j) - 4*b(j). Calculate g(7). 0 Let c(v) = -v - 15. Let k(x) = x**3 - 9*x**2 + 4*x - 43. Let q be k(9). Give c(q). -8 Let l = -3 - -5. Let p be ((-17)/l)/((-15)/30). Let f(m) = -2*m + p*m**3 + 6*m - 8*m**3 - 10*m**3. Give f(-3). 15 Let b(d) = 10*d - 6. Let k(t) = -2*t**3 - t**2 - 9. Let j be k(-2). Determine b(j). 24 Let o(m) = m**2 + 12*m + 9. Let k be o(-8). Let y = k - -20. Let d be (-29)/(-4) + y/12. Let i(c) = c - 3. Give i(d). 4 Let b(j) = 5*j**3 + 4*j**2 - 5*j + 5. Let a(s) = -6*s**3 - 4*s**2 + 5*s - 5. Let v(y) = 4*a(y) + 5*b(y). Calculate v(-5). 5 Let j(q) = 14 + 4*q - 18*q + 16*q. Determine j(-7). 0 Let a be 2 - -2 - (-32)/(-2). Let s be 74/a + (-3)/(-18). Let z(o) be the third derivative of o**5/60 + 5*o**4/24 - 5*o**3/6 - 11*o**2. What is z(s)? 1 Let r(i) = i**3 - 3*i**2 + 3*i - 1. Suppose -12 = 21*d - 25*d. What is r(d)? 8 Let r(s) = -7*s - 12. Let w be (-2 - 6) + (5 - 3). Give r(w). 30 Suppose 57*n - 82*n = 100. Let m(l) = 2*l**3 + 5*l**2 - l + 4. Calculate m(n). -40 Let r(k) = -4*k**2 + k + 6*k**2 + 1 - 8*k. Let w(p) = -3*p**2 + 8*p - 1. Let j(d) = 4*r(d) + 3*w(d). Suppose 1121*l - 1123*l - 10 = 0. Give j(l). -4 Let i(x) be the second derivative of 1/2*x**2 + 1/3*x**3 + 0 + 2*x. Calculate i(3). 7 Suppose 13*o + 89 = 11. Let y(w) = -w**2 - 4*w + 8. Calculate y(o). -4 Suppose 24 = -2*f + 2*j, 0 = -2*f + 5*j - 33 + 9. Let k(d) = d**3 + 11*d**2 - 12*d + 3. Determine k(f). 3 Let c(r) be the second derivative of -r**6/120 + r**5/15 + r**4/12 + r**3/3 - r**2/2 + 5*r. Let h(d) be the first derivative of c(d). What is h(4)? 10 Let h(x) = x + 1. Let f(q) = -q**2 - 1. Let n be f(2). Let m be h(n). Let w(u) = -u - 1. Give w(m). 3 Let h = -68 + 77. Suppose -39 = -22*j + h*j. Let s(u) = 6*u - 2. Let v(q) = -4*q + 1. Let f(m) = -5*s(m) - 8*v(m). Calculate f(j). 8 Let r(q) = q. Let l be r(5). Let y = 9 - l. Suppose z - y*z - 12 = 0. Let t(j) = j**3 + 3*j**2 - 5*j - 2. What is t(z)? 2 Let w(u) be the first derivative of u**4/4 + 8*u**3/3 - 11*u**2/2 - 15*u - 151. Give w(-9). 3 Let i(s) be the first derivative of -s**4/4 - 2*s**3 + s**2 + 4*s - 1. Let k(j) = j**3 - 3*j**2 - 39*j + 71. Let n be k(7). Give i(n). -8 Let c(g) = -43*g + 208. Let s be c(5). Let k(m) = -m - 2. Determine k(s). 5 Suppose 4*w + 2*l = 174, 5*w + 0*l = 3*l + 201. Let b(q) = w*q**3 - 2*q + 4*q + 9 - 43*q**3 - 6*q**2. Determine b(-6). -3 Let h(y) = -5 - 8*y**2 - 3*y**2 - 3*y**2 + 13*y**2 + 0 + 7 + 6*y. Let v be (-1)/((-5)/(-6) - 1). Suppose -3*r + v*z - 2*z - 5 = 0, -r - z = -10. Calculate h(r). 7 Let t(d) = d - 6. Let i = 18 + -18. Let x be t(i). Let m(k) = -6*k + 10*k**3 + 1 + 5*k**2 + k - 9*k**3. Determine m(x). -5 Let d(j) = j**3 + 4*j**2 + 2*j + 5. Suppose 2*o + 16 = -5*u + 6, 4*o = -4*u - 20. Calculate d(o). -30 Let h = -1 + 11. Suppose h = 3*w - 5*w. Let g(q) = q**2 - 2*q + 5. Let o(l) = -4*l**2 + 5*l - 17. Let r(d) = -7*g(d) - 2*o(d). Give r(w). 4 Let v(f) be the first derivative of -f**3/3 + 3*f**2 + f + 37. Give v(5). 6 Suppose -i + 4*u + 12 = 0, 2*i - 8 - 4 = 5*u. Let s(w) = -2*w**2 - 4*w + 5. Determine s(i). -11 Let z(j) = j**2 - 6*j + 2. Let w(f) = f**2 - 8*f + 11. Suppose -2*b - 21 = -5*b. Let k be w(b). Determine z(k). -6 Let z(f) be the first derivative of 3*f**2/2 + 5*f + 95. Determine z(6). 23 Let i be (-12)/39*(15/(-2) - -1). Let t(p) = 4*p**3 + 0*p**3 - 2 - 2*p**3 - 2*p**2. Give t(i). 6 Suppose 0 = 3*p - 8*p + 2*c + 25, -22 = p + 5*c. Let g(w) = 7*w + p + 1 + 2*w**2 + 2 - w**2. Determine g(-6). 0 Let v(s) = -5*s + 12. Let y(l) = -14*l + 36. Let c(q) = 11*v(q) - 4*y(q). Let i be c(7). Let n(m) = m**2 + 3*m - 4. Calculate n(i). 6 Let c(j) = -7*j - 4. Let t be c(-4). Suppose i - 1 = 4*u - 4, t = 4*i - 4*u. Let n(m) = -10 + i*m + 7*m - 14*m. Calculate n(7). 4 Let j(w) = -w**3 + 2*w**2 + 3. Suppose -5*r + 2*k = -13, 7 = 5*r - 3*k - 5. Give j(r). -6 Let m(y) = -y**3 - 2*y**2 + y - 1. Suppose -q + 2*d = 10, -5*d - 3 = q - 7. Suppose 0 = -2*h - 0*h + 12. Let n be (-22)/h + q/(-9). Calculate m(n). 5 Let n(l) be the first derivative of -9*l**2/2 + 11*l - 347. Give n(2). -7 Let b(r) = -5*r**3 + 2*r**2 + 2*r + 20. Let s(o) = 3*o**3 - 2*o**2 - o - 11. Let p(u) = -4*b(u) - 7*s(u). Give p(5). 17 Let p(m) be the first derivative of 2 + 0*m + 1/24*m**4 - 3*m**2 - 1/6*m**3. Let d(o) be the second derivative of p(o). Give d(-4). -5 Let d(h) = -h**3 - 21*h**2 - 3*h - 67. Let o be d(-21). Let a(g) = g**2 - g + 5. Calculate a(o). 25 Let w(r) be the first derivative of r**4/4 - 11*r**3/3 + 9*r**2/2 - 2*r + 546. Determine w(10). -12 Let d(r) = r**3 + 5*r**2 + r - 2. Suppose -12 = 4*f - g, f - 2*g + 8 = -3*g. Calculate d(f). 10 Let h(q) be the second derivative of 0 - 2/5*q**5 + 1/3*q**3 + 1/2*q**2 + 0*q**4 + q. Let b = -55 + 54. Determine h(b). 7 Let p = -2 + 1. Let o(u) be the first derivative of 5*u**3/3 + u**2/2 + 2*u + 493. Let z be o(p). Let w(g) = g. Determine w(z). 6 Let x(r) = -37 - r + 60 - 23. What is x(1)? -1 Let n(x) = 2*x**2 - 5*x + 4. Let a be 8/(-16) + (-1)/2. Let b(m) = 1. Let l(u) = a*n(u) + 5*b(u). Give l(4). -11 Let p = -89 + 49. Let b = p - -46. Let i(v) = -v - 1. Calculate i(b). -7 Suppose -3*i - 31 = 5*r, 3*r = -i + r - 12. Let o(p) = p + 1. Determine o(i). -1 Suppose 6 = 7*h + 41. Let o be ((0/(-2))/(10/h))/(-2). Let d(p) = 7*p + 14. Let i(j) = -4*j - 7. Let r(l) = -3*d(l) - 5*i(l). Determine r(o). -7 Suppose -45 = 7*y - 22*y. Let u(w) be the third derivative of 0*w + 1/8*w**4 + 1/120*w**6 + 4*w**2 + 0 - 5/6*w**y - 1/12*w**5. Determine u(5). 10 Let s(c) = -c**2 - 2*c - 7. Suppose 15*a = -8*a. Calculate s(a). -7 Let u = -27 - -38. Suppose 2*h - 3 + u = 0. Let c(s) = -7*s**2 - 2*s + 7. Let a(l) = -6*l**2 - 2*l + 6. Let x(k) = 6*a(k) - 5*c(k). Give x(h). -7 Suppose k = -5*p + 38, -5*p - 13 = -3*k - 39. Let z(o) = -4*o - 11. Let x(a) = -2*a - 4. Let b(l) = 9*x(l) - 4*z(l). Give b(p). -6 Suppose 4*l = -r - 0*r + 61, 0 = -5*l + 2*r + 60. Suppose -12*a = -10*a + l. Let o(i) = i + 3. Determine o(a). -4 Let r = -5 + 10. Let a be 19/5 - r/(-25). Let i(s) = -4*s + s + 2 + s**3 - 9 + a*s. Determine i(0). -7 Let v(d) = -d**2 - d - 1. Let w be v(-1). Let s be 11/(-3) - w/(-3). Let r(z) = 2*z. Let m(a) = 5*a + 1. Let x(n) = -3*m(n) + 7*r(n). Give x(s)
{ "pile_set_name": "DM Mathematics" }
e 8*w - 3*w - d = 0. Is w composite? True Let i(s) = 2*s**2 - 8*s + 4. Let b be (-23)/(-5) + (-8)/(-20). Let n be i(b). Is (4 + -1)*n/2 prime? False Suppose 0 = 10*w - 5*w - 1445. Is w prime? False Let y = 2558 + -1234. Suppose 5*l + y = 9*l. Is l composite? False Let c = 22 - 0. Is c a composite number? True Let s = -215 + 550. Is s a composite number? True Let n = 7 + -5. Let y be (2/4)/(n/480). Let h = 173 - y. Is h a prime number? True Let n(i) = 3*i. Let z be n(1). Suppose 0 = z*d + 6, g + 6*d = d + 109. Is g a prime number? False Let r(x) = 2*x - x**3 + 7*x**3 - 4*x**3 - 5*x**2 + 4 - x**3. Is r(5) a prime number? False Let l(o) = 9*o + 1. Let s be -2 + (7 - 1) - -2. Is l(s) prime? False Suppose 3*a - 5*s = 95, 0*a - 3*s + 38 = 2*a. Suppose 4*v = a + 179. Let d = v - 29. Is d a composite number? True Suppose 0*y - y + 8 = 0. Let p = 14 - y. Is (-746)/(-14) + p/(-21) prime? True Suppose -7*y + 650 = 27. Is y composite? False Suppose -3*o - 30 = -6*o. Let q = 3 + o. Is q a composite number? False Let g(x) = -68*x + 27. Is g(-10) prime? False Let z = 8 + -6. Suppose 0*d = z*d - 10, -5*d - 150 = -5*u. Suppose -s + 2*s = u. Is s composite? True Suppose 6*p + 629 = 7*p. Is p a composite number? True Let v = 394 + -744. Let z = -235 - v. Is z a prime number? False Let u(k) = 8*k**2 - 6*k + 5. Is u(6) composite? False Suppose 7 - 17 = -5*n. Suppose -n*a - 508 = -g - 4*g, 0 = -a + 1. Is g/3*10/4 a composite number? True Suppose 0 = -4*u - 4*v - 964, 2*u - 3*v + 6*v + 479 = 0. Suppose 2*o - l - 782 = 0, -1 = 2*l - 9. Let z = o + u. Is z prime? True Suppose 0 = a - 0 - 2. Let l(f) = 2*f**3 + f**2 + 4*f - 3. Is l(a) a prime number? False Let l be 1 + 5/((-10)/(-4)). Suppose -l*w = -0*w + 96. Let o = 45 + w. Is o a prime number? True Suppose 5*v - 2*v + 6 = 0. Is -4 + v + 3 + 1064 prime? True Let q = 12 + -11. Let h(g) = 467*g. Is h(q) a prime number? True Let r = -1 - 6. Let n be 0 - -3 - -19*1. Let s = n + r. Is s a composite number? True Let r = -58 - -19. Let s = -109 - -185. Let v = s + r. Is v composite? False Is 22/4*(13 - -1) prime? False Let v be ((-20)/25)/((-4)/310). Let c = v + -9. Is c prime? True Suppose 0 = -3*k - 6, -3511 = -3*r + 3*k - k. Is r a prime number? False Let d be (-2)/11 + 57/11. Suppose -4*m - d*j = -222, -3*m - j + 186 - 14 = 0. Is m a composite number? True Let w = -209 + 1192. Is w prime? True Suppose 2771 + 3247 = 6*h. Is h composite? True Suppose h - 2*q - 8 = -3*h, 12 = -h + 4*q. Suppose 5*x - 4*j = 663 + 816, h*j = -4. Is x a prime number? False Let o = 10 + -5. Suppose 0 = 2*u + 8, 0 = -5*m - u + 19 - 8. Suppose p - o*p = 2*r - 58, 2*p = -m*r + 103. Is r a prime number? True Is -3 + (-6 + 4 - -751) a composite number? True Suppose 3 = -5*o - 2. Let h(i) = -6*i**3 - 8*i**2 + i - 6. Let d(y) = -y**2 - 1. Let z(c) = o*h(c) + 6*d(c). Is z(1) composite? False Let z = 1 - -4. Suppose 4*f + z*j - 66 = 0, -2*j - 98 = -4*f - 18. Is f a composite number? False Let h = -161 - -300. Is h prime? True Let t = 45 + -25. Suppose -2*u - 3*i + 9 + 10 = 0, -4*u + 47 = -3*i. Let v = t + u. Is v a prime number? True Suppose -170 = -g - 4*g. Let m = g - -10. Is 1 - (-1)/(2/m) prime? True Let q be (-301)/(-3) - (-14)/21. Let r = q - 66. Is r composite? True Suppose -37 + 2 = -u. Suppose -5*r - 3*n + 19 = 0, 0*n = -2*r + 3*n - 5. Suppose -67 = -4*m - 3*q, 4*m + q = r*m + u. Is m composite? False Let i be (0 + 4)/((-12)/18). Let s = -4 - i. Suppose -4*w - 10 = -o, -40 = o - 4*o + s*w. Is o prime? False Let p = 293 - 200. Suppose p = 4*z + 1. Is z prime? True Let j(i) be the first derivative of i**2/2 + 8*i - 3. Is j(-6) composite? False Let a = -436 - -911. Suppose -3*s + 5*y = -298, 0*s + 4*y = 5*s - a. Is s prime? False Suppose 22*w - 191 = 21*w. Is w composite? False Let r = 16 + -9. Suppose p + z = 128, 2*z - 146 = -p + r*z. Is p prime? True Suppose -5*o + 4*s = -685, 3*o - s + 4*s = 438. Is o prime? False Let o(b) = b**3 - 6*b**2 + b - 5. Let k be o(6). Let j = 4 + -2. Suppose j*z - 15 = -k. Is z composite? False Let y(g) = -g**2 + 10*g + 13. Let f be y(11). Suppose 6 = -3*m + 2*m + 4*b, 0 = -f*m - b + 15. Is (106/(-6))/((-2)/m) prime? True Suppose 8 + 0 = 2*h. Let l be 397/h - 3/12. Suppose 5*n - 1 - 4 = 0, 2*v = -5*n + l. Is v prime? True Let x = -3 + 8. Suppose -m = -h + 3, -x*m + 2 = -2*h + 8. Suppose -h*t = a - 181, -228 = -3*t - t + 2*a. Is t a composite number? False Suppose -4*k = 100 - 312. Suppose -3*f + 4*l = -0*l - k, -2*l + 59 = 3*f. Is f a composite number? False Let m(a) = -3*a**3 - 7*a**2 + 7. Is m(-6) composite? True Let o(h) = -h**3 + 11*h**2 + 15*h - 16. Let w be o(12). Suppose 0*x - 4*x + w = 0. Suppose -2*s + 64 = x*y - 2*y, -4*y = 4*s - 136. Is s a composite number? True Suppose 13 = 4*q + 229. Let d = -1 - q. Is d a composite number? False Let x be (-16)/32*(0 + -74). Let o = x - 18. Is o prime? True Suppose c = -3*c + 1028. Is c composite? False Let s = -591 - -1128. Suppose 52 = -b + s. Is b a composite number? True Let l be (1*-1)/(5/(-30)). Is ((-2)/l)/((-3)/20853) composite? True Suppose 10*j - 12 = 12*j. Is 1932/(-18)*9/j a composite number? True Suppose 2*m = -10 + 24. Suppose 2*t - m - 19 = 0. Is t a composite number? False Suppose 2*q - 5*q - 21 = 0. Is 3/q + (-2004)/(-21) a composite number? True Is ((-39)/(-4))/(3/20) prime? False Let k(s) = -7*s + 26. Is k(-15) a prime number? True Let x(l) be the third derivative of l**5/15 - l**4/8 + l**3/6 + 5*l**2. Let y = -5 - -9. Is x(y) composite? False Let m(w) = -2*w. Let a = -7 - 4. Let s(g) = g**2 + 11*g - 7. Let j be s(a). Is m(j) prime? False Let t = -1 + 1. Let n be 143*(t - 2)/(-2). Suppose -5*b = -2*o + n, 209 = 4*o + b - 110. Is o prime? True Let q = -5 + 4. Suppose -264 = w - 40. Is w/(-6) + q/3 a prime number? True Let q(m) be the second derivative of 5*m**5/4 + m**4/2 - 4*m**3/3 + m**2 + 6*m. Is q(3) a prime number? False Let d = -500 - -919. Is d a composite number? False Let q(i) = i**3 + 3*i**2 - i + 2. Let w be q(-3). Suppose x = -w*c - 7, -14 = -0*x - 4*x + c. Suppose -x = -s - f + 17, -16 = -s + 3*f. Is s a composite number? False Is 4272/(-8)*2/(-4) a composite number? True Suppose -2*f = -0*f. Suppose f = 4*m + 6 + 2. Is m/(-4)*(3 + 49) a prime number? False Suppose 25 = 5*u - 5*l - 0, -u + 15 = -3*l. Let v(s) = 7*s + 55. Let w(b) = -4*b - 28. Let f(r) = 3*v(r) + 5*w(r). Is f(u) a prime number? False Suppose 11*z = 5*z + 11418. Is z composite? True Suppose 3*t - 556 = -t. Is t a composite number? False Suppose -7*w + 3*w + 16 = 0. Let c = -88 - -91. Suppose -5*a + 86 = w*y - 3*a, 110 = 5*y + c*a. Is y a prime number? True Is 41 - (70/21 - (-2)/3) a prime number? True Let j(z) = z + 1. Let w be j(-1). Let k(p) = 0*p - 3 - 3*p - 7 + w*p. Is k(-7) prime? True Let h(w) = 34*w**3 + 6*w**2 - 2*w + 1. Is h(5) composite? False Let z be 40/24 + (-4)/6. Let v(f) = 317*f. Let k be v(z). Suppose -l - 3*m + 220 = 0, -3*m - k = 5*l - 1381. Is l prime? True Suppose 4*f - 170 = 4*x - 46, 2*f - 67 = x. Suppose 5*r - f = -11. Suppose -r*j + q + 130 + 140 = 0, -192 = -4*j - 4*q. Is j composite? False Suppose 3*s + 2*n - 133 = 0, 4*n - n + 153 = 3*s. Let v = s - -6. Is v composite? False Suppose -4077 = -2*q - q + 3*w, 3*w - 1367 = -q. Is q a composite number? False Let k(u) = 27*u**3 + 3*u**2 - 3*u + 2. Is k(3) a prime number? False Suppose 4*z - 6 = 14. Suppose -z*d + 35 = -30. Is d prime? True Suppose -4*b + 16 = -4*k, -3*b - 3 = 2*k - 0. Let p(r) = 10*r - b - 1 + 4. Is p(2) a prime number? False Is 415 - 2*(-2 - -3) composite? True Suppose -5*m = -20, 4*h - 3*m = -4*m + 24. Suppose 3 - 448 = -h*n. Is n a composite number? False Let w(d) = -d**3 - 2*d**2 + 7*d + 9. Let p be w(-6). Suppose -p = -5*u + 1144. Is u composite? False Let l = 4 + -1. Let c be l - 0 - 0/(-2). Is (-11)/(2 - c)*1 a prime number? True Let v(s) = -s**3 + s**2 - 10 - 9*s**2 - 10*s + 0*s**2. Let x be v(-7). Suppose -2*h - 3*f + x = -14, 4*h - 43 = f. Is h prime? True Let c be (-3)/(-3) + 2 + 2. Suppose c*t - 44 = 131. Is t composite? True Suppose -632 = -v + 125. Is v a prime number? True Suppose 4*r - 3*r = 4. Suppose 47 = r*m - 229. Is m a prime number? False Let v = 114 - -5. Is v a prime number? False Let f = 2 + 0. Let s(a) = 5 - 2 - f - 12*a + 0. Is s(-12) composite? True Sup
{ "pile_set_name": "DM Mathematics" }
-6). Suppose -341 = -6*p - y. Calculate the highest common divisor of p and 2. 1 Let a = 99 - 233. Let z = 50 - a. Calculate the highest common divisor of z and 23. 23 Let h(i) = -i**3 - 7*i**2 + 19*i + 17. Let v be h(-9). Suppose -y - v = -34. Let t = 20 - -6. Calculate the highest common factor of t and y. 26 Let q be 25806/1012 + 6/(-4). Let r be (-4)/(-2) + 58*1. Calculate the highest common divisor of q and r. 12 Suppose -3*c = -3*b - 90, -77 = -4*c + 2*b + 33. Let v(p) = p + 131. Let l be v(c). Calculate the greatest common factor of l and 4. 4 Suppose 5*k - 38683 = -32*k + 6087. Calculate the greatest common factor of 550 and k. 110 Let k(r) = -r**3 - 10*r**2 - 8*r + 10. Let c be k(-9). Let t = 159 + -74. Suppose 49 - t = -4*y. Calculate the highest common factor of y and c. 1 Suppose 0 = 5*w + 174 - 748 - 551. What is the greatest common divisor of w and 975? 75 Let l be 0/2 + (4 - 2). Let u be 9 - (-3 - l/(-2)*5). Let m = u + 48. What is the greatest common divisor of m and 22? 11 Let r be 1807800/8908 + (-1)/(-17). What is the greatest common divisor of 38773 and r? 203 Suppose 4*p + 4*f - 2792 = 0, 0 = p - 4*f - 1092 + 374. Calculate the greatest common factor of p and 130. 26 Suppose -8*l + 228 = -150 + 42. Calculate the highest common divisor of 6846 and l. 42 Suppose -8*d + 129 - 1 = 0. Calculate the highest common factor of 792 and d. 8 Let k be (-2634)/(-294) + 32/784. Calculate the greatest common factor of k and 2961. 9 Let w = -14682 + 14724. What is the greatest common divisor of 11634 and w? 42 Suppose 4*v - t = 4629, 2*v + 4*t - 5*t = 2315. What is the highest common divisor of v and 356? 89 Let q(v) = 9*v**2 + 3*v - 5*v + 10 + 7 + 7*v + 0*v - v**3. Let k be q(7). Calculate the greatest common factor of k and 210. 30 Let n(d) = d**3 + 5*d**2 + 3*d + 4. Let a be n(-4). Suppose 0 = -105*j + 363*j + 306*j - 19176. What is the greatest common divisor of a and j? 2 Suppose b = 49*g - 53*g + 2091, -3*g - 4*b = -1578. What is the greatest common factor of 144 and g? 18 Let q = 255 + -115. Let g = 830 - 800. Calculate the greatest common divisor of g and q. 10 Let b(r) = -6*r - 12. Let t be b(-15). Suppose 3*i + 3*i = t. Calculate the highest common factor of i and 4. 1 Let v = 83 + -81. Suppose 5*p + 708 = 4*y + v*p, 4*y + 2*p - 708 = 0. Suppose y + 147 = 6*i. Calculate the greatest common factor of 36 and i. 18 Suppose -4*q = 3*q - 14. Suppose -3*z + 16 = q*p - 17, 5*p + 3*z = 87. Let l be 4/p - (4 - 331/9). What is the greatest common factor of l and 11? 11 Suppose 9*j = 8*j + 8. Suppose -4*z = -3*z - j. Let h be z/(-12) - (-510)/9. What is the greatest common divisor of 8 and h? 8 Let r(s) = -4*s**3 + s**2 - 8*s - 8. Let q be r(-1). Suppose 8*w - 5*w - 125 = -q*c, -4*c + 164 = 4*w. Calculate the greatest common factor of w and 260. 20 Suppose -3*h = 3*f - 153, -5*f = -142 + 112. Calculate the highest common factor of 1095 and h. 15 Suppose -145*k + 140*k = 630. Let n be (-3)/(-30)*-5*k. What is the greatest common divisor of 18 and n? 9 Suppose -133 = -5*v - 2*v. Let t be 0 - 3 - (-9 - (-3)/1). Suppose 3*u + 3*w = 6*u - 213, -4*w - 208 = -t*u. Calculate the highest common factor of v and u. 19 Let i = -33 - -51. Suppose 144 = 27*c - i. Calculate the greatest common divisor of 46 and c. 2 Let j be ((-1742)/(-156))/((-276)/216 + 8/6). What is the greatest common factor of 9514 and j? 67 Suppose 2*w - 4*w = -8. Let s be (0 + 0)*11/(-22). Suppose -42 = -w*p - 3*r, -p + 5*r + s*r = -22. What is the greatest common factor of 24 and p? 12 Let v be 1836/42 - 4/(-14). Suppose -64 = -3*s + v. Let x = 878 - 869. Calculate the greatest common factor of x and s. 9 Let x be 1 - (-1*12 + 1). Let q be (12/(-3))/((-6)/x). Let j be -4 + 1/1 - -15. What is the greatest common factor of q and j? 4 Suppose -26*j + 110*j = 23940. Calculate the greatest common divisor of 114 and j. 57 Suppose 4*v - m - 929 = -v, 0 = -v - 5*m + 191. Suppose -8*o - 786 = -v. Let t = 132 + o. Calculate the highest common divisor of 19 and t. 19 Suppose 40*m = -19*m + 413. Calculate the greatest common divisor of 1883 and m. 7 Let v(y) = -710*y + 5980. Let c be v(8). Calculate the greatest common divisor of 12 and c. 12 Suppose a - 5*d = 91, 0 = 2*a + 4*d - 0*d - 112. Suppose -715 = -71*x + a*x. What is the greatest common factor of 26 and x? 13 Let r(y) = -3*y**3 + 3*y**2. Suppose 0 = -4*s + 8*s - 8. Let k be r(s). Let q = k - -16. Calculate the highest common divisor of q and 28. 4 Suppose 0 = -25*i + 831 + 44. Let v(n) = 15*n + 3*n**2 + 17*n - 42*n + 10. Let r be v(10). Calculate the highest common divisor of i and r. 35 Suppose 26*n + 915 = 31*n - u, -2*u = 4*n - 732. What is the greatest common divisor of n and 1037? 61 Let c = 8503 - 8495. Calculate the greatest common divisor of c and 2084. 4 Let i(k) = 18*k - 171. Let a be i(63). Calculate the highest common factor of a and 749. 107 Let x = -405 + 573. Let q be 4*(-6)/48 + 270/4. Suppose -k - q - 34 = -4*m, 0 = -m + 5*k + 49. What is the highest common factor of x and m? 24 Let o(g) = g**3 + 1. Let f be o(2). Suppose 0 = -13*x - 367 + 835. What is the highest common divisor of f and x? 9 Suppose 5*q + 0*q = 5*y + 280, -4*y = -q + 230. Let j = 34 + y. Let h = j - -84. Calculate the greatest common factor of h and 15. 15 Let x = -10156 - -10342. Calculate the greatest common divisor of 42 and x. 6 Suppose 0 = 2*v - 3*o - 384, 5*v + 0*v - 934 = o. Suppose 9*u - 480 = v. What is the greatest common factor of 148 and u? 74 Suppose -32265 = -664*z - 141*z + 47430. Suppose 2*q + 0*q = 132. Calculate the greatest common factor of z and q. 33 Let z be (-38)/4*(-18)/1. Suppose 5*i + s - 542 = -42, -2*s = 0. Suppose i = 5*p + l, 0*p - 63 = -2*p - 5*l. Calculate the highest common factor of p and z. 19 Suppose 0 = -0*r + 19*r - 228. Let v = 25 - 43. Let k be (-6 - 0)/1*v. Calculate the highest common factor of r and k. 12 Suppose 61*c - 145 = 282. Suppose 2*h + h = -2*a + 68, a - 2*h - 34 = 0. Suppose -428 = -c*m + a. What is the highest common factor of m and 44? 22 Suppose 0*d - 2*d + 2887 = 3*h, 964 = h - d. Let j = -943 + h. Let v(b) = b**3 + b**2 - 3*b - 2. Let l be v(3). What is the highest common divisor of j and l? 5 Suppose -5*z + 16 + 119 = 0. Let s(v) = 16*v**2 + 21 - 15*v**2 + z. Let h be s(0). What is the highest common factor of h and 12? 12 Suppose -18*n + 207 = -117. What is the greatest common factor of 142 and n? 2 Suppose -12*b + 27094 = 7*b. What is the greatest common factor of 23 and b? 23 Let x = 251 + -80. Let y = -5181 - -5199. What is the highest common factor of y and x? 9 Let y = 9 + 5. Let s = 9812 + -9126. What is the highest common divisor of y and s? 14 Let f be (-40)/32 + (-923)/4. Let g = f + 62. Let w = g - -262. What is the highest common divisor of 230 and w? 46 Let v = 484 + -194. Suppose p - 22 = -3*r, -p + 6 = 14. Calculate the highest common factor of r and v. 10 Let x(i) = 15*i**2 - 5*i + 14. Let j be x(2). Suppose 0 = 4*d - 2*f - j, 5*f = -d + 4*d - 48. What is the greatest common divisor of 24 and d? 8 Let d = 15494 + -15450. Let c = 11 - -1. What is the highest common factor of c and d? 4 Suppose 9*v + 515 = -988. Let l = 496 + v. Calculate the highest common factor of l and 47. 47 Let o be ((-14)/(-4) + (-6)/(-8))/((-1)/(-96)). Calculate the highest common factor of 648 and o. 24 Suppose 11*l - 2*l = -69 + 141. Let r be 2042/4 + (-6)/(-4). Calculate the greatest common factor of l and r. 8 Let i be -4 - 0 - -9 - (5 + (-145 - -2)). What is the highest common factor of 182 and i? 13 Suppose 202 = 3*k + l, -3*k - 8*l + 4*l + 205 = 0. Suppose -4*y = -778 - 562. What is the highest common divisor of k and y? 67 Let a = -3890 - -4094. What is the greatest common divisor of a and 336? 12 Let i be (-1)/(-11) + (-240828)/(-671). Suppose f + i = 2*p, -55 = -p - 2*f + 137. Calculate the greatest common factor of p and 130. 26 Let v(r) = 39*r + 28. Let i be v(-2). Let c = -15 - i. Calculate the highest common divisor of 455 and c. 35 Suppose -240 = 101*z - 107*z. Calculate the highest common divisor of z and 540. 20 Let a be ((-3)/(-12))/(1/(-8)). Let u(b) = -31*b - 29. Let n be u(a). Calculate the highest common divisor of n and 77. 11 Let r(i) = 57*i - 151. Let p(k) = -59*k + 149. L
{ "pile_set_name": "DM Mathematics" }
- 11 Simplify (sqrt(24)/sqrt(2)*-6)/sqrt(4) + (sqrt(54)/sqrt(3)*-3)/sqrt(6). -9*sqrt(3) Simplify -4*(sqrt(38) - (-6*(sqrt(38) - (sqrt(152)/sqrt(4) + sqrt(38))) - sqrt(38)))/(-2*sqrt(200))*-2. 8*sqrt(19)/5 Simplify ((3*sqrt(168)/sqrt(3))/(sqrt(4)/(sqrt(20)/sqrt(160) - sqrt(2))))**2. 567/4 Simplify (2*(sqrt(66) - sqrt(66)*3) - sqrt(66))/(-2*sqrt(6)*-6). -5*sqrt(11)/12 Simplify (sqrt(405) - -6*(sqrt(405) + 1) - 3*1*sqrt(405))**2 - ((sqrt(405)*1*-5)**2 + (-4 + sqrt(405)*-1)**2). -4030 + 360*sqrt(5) Simplify ((-2 + sqrt(637))**2*-6 - sqrt(637)) + sqrt(91)/(sqrt(77)/(sqrt(11) + -3*sqrt(11))). -3846 + 159*sqrt(13) Simplify (5*-2*sqrt(70) + 2*(sqrt(70) + sqrt(70)*-2 + sqrt(70)) + sqrt(70))/(sqrt(10) + 1*sqrt(40) - sqrt(1440)*-1). -3*sqrt(7)/5 Simplify (sqrt(45) + (sqrt(2205) - sqrt(2205)*-2 - sqrt(2205)) - sqrt(5445)*2)/(4*sqrt(9)*-1 - (sqrt(9) + sqrt(81) + sqrt(9))*4). 7*sqrt(5)/24 Simplify ((0 + sqrt(2352) + 1)**2 + (-3*(sqrt(288)*-1 - sqrt(288)))/sqrt(6))*4. 320*sqrt(3) + 9412 Simplify ((sqrt(2178) - ((sqrt(2178) - 1*sqrt(2178)*-2) + sqrt(2178))) + sqrt(2178))/(6*sqrt(9)*1*5) + 5. -11*sqrt(2)/15 + 5 Simplify (-2 + (sqrt(1008) + 4 + sqrt(1008) + -1 - sqrt(1008)*1*5))**2. -72*sqrt(7) + 9073 Simplify -5*sqrt(72)*1*3 - 3*(sqrt(72) + -1 - sqrt(72))*1. -90*sqrt(2) + 3 Simplify -3 + ((-1 + -1*(sqrt(75) + 0)*-4)*3)**2. -360*sqrt(3) + 10806 Simplify 3 + 6*(4 + sqrt(13) + (sqrt(91)/(-2*sqrt(7)))**2 - (-5 + sqrt(1872)*-1)). 153/2 + 78*sqrt(13) Simplify -1 + (sqrt(252) - (1 + sqrt(252))**2) - ((-5*sqrt(315) - sqrt(315)) + sqrt(35))/sqrt(5). -254 + 11*sqrt(7) Simplify (-4*sqrt(84)/sqrt(2)*-5)/(5*sqrt(60)/(-2*sqrt(10))) + 1. -8*sqrt(7) + 1 Simplify ((sqrt(95) + sqrt(95)*1*-1)*3)/(3*sqrt(40)/(sqrt(8) + sqrt(32)/sqrt(4))). 0 Simplify (3 + -6*(0 + sqrt(147)) + -2)*-6. -6 + 252*sqrt(3) Simplify ((sqrt(21) - sqrt(168)/sqrt(8))*-6)/(-3*sqrt(21)/sqrt(7)). 0 Simplify -3 + (((sqrt(95) - (sqrt(95) + -6*sqrt(95)*2))*5)/((sqrt(10)/sqrt(2)*5 - sqrt(5)) + sqrt(20)/(sqrt(4) - sqrt(64))))**2. 615237/121 Simplify (3*(4 + (sqrt(448) - (sqrt(448) + -2))*-5) + -5)**2. 529 Simplify -5 + (2*sqrt(38)*-2)/sqrt(512)*-6. -5 + 3*sqrt(19)/2 Simplify ((-2*sqrt(1408))/(sqrt(8)/sqrt(4)*-4) + 1 + (sqrt(275) - (-1 + sqrt(275)))*-3)**2. -16*sqrt(11) + 180 Simplify (3*sqrt(1575))/sqrt(9) + (1*sqrt(63))**2 + -3. 15*sqrt(7) + 60 Simplify (sqrt(315)*-1 + sqrt(35) + sqrt(350)/(sqrt(10)*-2) + sqrt(35))/(3*sqrt(60)/sqrt(108)). -3*sqrt(7)/2 Simplify ((sqrt(114) - ((sqrt(114) - sqrt(114)*1) + sqrt(114)))*2)/(sqrt(864) - sqrt(864)*2) + 2. 2 Simplify -2*(-4*(sqrt(500) + 6*(sqrt(500) + sqrt(500)*-1)) + -5)**2. -16050 - 800*sqrt(5) Simplify (sqrt(25)*2)/sqrt(5) + 1*sqrt(10)/sqrt(2) - (-4*(sqrt(80)*-1)**2 - sqrt(80)). 7*sqrt(5) + 320 Simplify -1*sqrt(26)/(sqrt(2)*3) - ((sqrt(104)/(sqrt(8) - sqrt(8)*1 - sqrt(8)))**2 + -4). -9 - sqrt(13)/3 Simplify (sqrt(1300)*-5 + sqrt(52))/(sqrt(64)*2 - sqrt(4)). -24*sqrt(13)/7 Simplify (sqrt(55) - -3*sqrt(165)/sqrt(3))/(sqrt(176) + sqrt(176) + (sqrt(176) - 1*sqrt(176)) + sqrt(176) - sqrt(176)) + 0. sqrt(5)/2 Simplify (5*((-6*1*sqrt(36))/(sqrt(12) - -2*sqrt(72)/sqrt(6)) + 4))**2. -400*sqrt(3) + 700 Simplify ((1 + -5*(2*sqrt(1792) - sqrt(1792)) + sqrt(1792) + 5)*4)**2. -12288*sqrt(7) + 459328 Simplify (sqrt(1088) - ((sqrt(1088)*-2 - sqrt(1088)) + -2)**2 - (sqrt(1088)*1 + -1)**2) + (sqrt(34)/sqrt(2) + -4 - 1*sqrt(17)*-2)*-1. -10881 - 75*sqrt(17) Simplify 6*((0 + -1*sqrt(76))**2 - ((-1 + sqrt(76))*3)**2). -3702 + 216*sqrt(19) Simplify ((sqrt(1700) - (-6*(sqrt(1700) - (sqrt(1700) + -2)) - sqrt(1700)))**2 + (sqrt(1700) - -3*sqrt(1700)*-1))*4 + -4. 1840*sqrt(17) + 27772 Simplify ((sqrt(272) + 2)*2 - (-1 + -5*sqrt(272)))**2*4. 1120*sqrt(17) + 53412 Simplify -4 + (sqrt(28) - sqrt(896)/sqrt(2))/(sqrt(256) - (sqrt(256)*-2 + sqrt(256))). -4 - 3*sqrt(7)/16 Simplify ((1*sqrt(187)*1)/(2*-2*sqrt(11)))**2. 17/16 Simplify ((sqrt(52)/(4*sqrt(16) + sqrt(4)) + -6*-2*sqrt(13)*-6)*3)**2. 5441917/9 Simplify (sqrt(12)/sqrt(96) + -3)**2 + 3 + -3. -3*sqrt(2)/2 + 73/8 Simplify (((sqrt(200) + sqrt(200)*1)/sqrt(8))/(5*sqrt(80)))**2*5. 1/4 Simplify ((sqrt(13) + -2*sqrt(13) + 2 + sqrt(13) + 1 + sqrt(468))*5 + -2)**2. 780*sqrt(13) + 11869 Simplify 2*((-2*((0 + sqrt(1053) - sqrt(1053)) + -4))**2*3 + 4). 392 Simplify (sqrt(2430)*-1 + sqrt(480)*4)/(((sqrt(96)*-2)/sqrt(2))/sqrt(8)). -7*sqrt(5)/2 Simplify 2 + 4*(2 + (1 + -1 + 2*sqrt(684))**2). 10954 Simplify 5*(1 + sqrt(20)) - (2*sqrt(120))/sqrt(6) - sqrt(200)/(sqrt(810)*-1). 5 + 56*sqrt(5)/9 Simplify 6*-6*((sqrt(1584) - (1 + sqrt(1584) + 2)) + sqrt(1584) + 5). -432*sqrt(11) - 72 Simplify (3*sqrt(130)*2 - sqrt(130) - -1*sqrt(130)*5)/((sqrt(120)*1)/sqrt(12)*-2). -5*sqrt(13) Simplify (sqrt(306)/(2*sqrt(216)))/(-4*sqrt(108)*5 - sqrt(108)). -sqrt(17)/1512 Simplify 5*(3 + (sqrt(245) - (sqrt(245) + 3*sqrt(245) + 4))). -105*sqrt(5) - 5 Simplify (3 + (sqrt(500) - (1 + sqrt(500))*-4) + sqrt(500) + 3 + -1*sqrt(500))**2*2. 2000*sqrt(5) + 25200 Simplify ((sqrt(50) + 1)*-5 - (sqrt(3200)*1 + sqrt(3200))**2) + (sqrt(98)*2 - sqrt(14)/(2*sqrt(7) + sqrt(7))). -12805 - 34*sqrt(2)/3 Simplify (-6*-3*sqrt(63))/(-2*(sqrt(9) - sqrt(225)) - sqrt(9)). 18*sqrt(7)/7 Simplify (-2*(1 + 0 + sqrt(1584) + -4 + -1*(-2*sqrt(1584) + sqrt(1584))))**2. -576*sqrt(11) + 25380 Simplify ((sqrt(325) + sqrt(325) + -4 + 5*sqrt(325) + sqrt(325))*-4*2)**2. -20480*sqrt(13) + 1332224 Simplify (((-1 + sqrt(192) - sqrt(192))*4 + sqrt(192))*3 - (sqrt(36)/(sqrt(1728)*1) + -3))**2. -861*sqrt(3)/2 + 86257/48 Simplify 4 + (((-1*sqrt(78) - sqrt(78)) + sqrt(78))/sqrt(6)*-5)**2 - (((sqrt(130)*2)/sqrt(10) - (sqrt(117) + (sqrt(117) + 0)**2)) + -5). sqrt(13) + 451 Simplify (sqrt(216)/((sqrt(6) + -2*sqrt(6) - sqrt(6))*-4))/(6*sqrt(108)*2)*2. sqrt(3)/144 Simplify -6*-4*(-4*(3*sqrt(500))**2*2 + 5). -863880 Simplify (2*2*sqrt(605) + 4*2*sqrt(605))**2 - (-4 + -1 + sqrt(605) + -2). -11*sqrt(5) + 87127 Simplify (2*((sqrt(512) + -4 - (sqrt(64)*1)/sqrt(8)) + 5))**2. 112*sqrt(2) + 1572 Simplify (sqrt(450) - (sqrt(450) + (-3*(-1*sqrt(450) + sqrt(450)) - sqrt(450))))/(sqrt(40)/sqrt(4)*-4 + sqrt(250)*-1). -sqrt(5)/3 Simplify -1 + 2 + 5*sqrt(1900)*3. 1 + 150*sqrt(19) Simplify ((sqrt(136) + -2*(3*sqrt(136) + sqrt(136)))*-5)/(-1*(sqrt(224)/sqrt(4))/sqrt(7)). -35*sqrt(17) Simplify -5 + sqrt(1900) + -5 - (sqrt(304) + -2 + sqrt(304) + sqrt(304) - (sqrt(38)*2)/sqrt(2))**2. -1914 + 50*sqrt(19) Simplify 5*(4 + sqrt(8)/sqrt(4) + sqrt(2) + 3 + 4*-1*(sqrt(2)*-3 + sqrt(2)))**2. 700*sqrt(2) + 1245 Simplify -5*((1*(-1 + sqrt(275)))**2 + 5 + (1*sqrt(275) + sqrt(275))**2 + -1*sqrt(275) + sqrt(275) + -5 + -4). -6860 + 50*sqrt(11) Simplify -1*(3 + ((sqrt(140)*-2)/sqrt(7))**2). -83 Simplify -2*(2 + (sqrt(26)/sqrt(2))**2 + 5 - ((1*sqrt(52)/sqrt(4))**2 - ((sqrt(130)*2)/sqrt(10) - sqrt(13)))). -14 - 2*sqrt(13) Simplify (sqrt(140)/(sqrt(90)/sqrt(9)))/(-6*sqrt(42)/sqrt(6)). -sqrt(2)/6 Simplify (5 + (-1*sqrt(700) - sqrt(700)) - (-3 + (sqrt(700) - (sqrt(700) + -2*sqrt(700))) - sqrt(700)))**2*-5. -31820 + 2400*sqrt(7) Simplify (-1*(2 + (2*(4 + sqrt(475)) - sqrt(475) - sqrt(475)))*-1)**2. 100 Simplify ((sqrt(637) - (sqrt(637)*5*1 + sqrt(637))) + -3)**2 + 3. 210*sqrt(13) + 15937 Simplify -1*(sqrt(21)/sqrt(3)*6)**2 - (sqrt(7) + (-2*(sqrt(7) + 0 + sqrt(7)))**2 + sqrt(7))*-2. -28 + 4*sqrt(7) Simplify (-5 + -1 + 2*(-4 + (sqrt(325) - 1*sqrt(325)) + -2*-1*sqrt(325)))**2. -560*sqrt(13) + 5396 Simplify 6*4*sqrt(209)/sqrt(176) + -3 + 2 + sqrt(19) + sqrt(19) + sqrt(76) + sqrt(19) + ((sqrt(19) + sqrt(19)*1)*-4 + sqrt(19))**2. 11*sqrt(19) + 930 Simplify ((sqrt(153) - (sqrt(153) - sqrt(153)*-2)*-5)/sqrt(9) - (sqrt(17) + 1 + sqrt(833) + (sqrt(17) - sqrt(51)/(sqrt(6)/sqrt(2) + sqrt(3))))) + -1. -2 + 15*sqrt(17)/2 Simplify 1*(1 + (sqrt(11) - (sqrt(396) + -1) - (sqrt(11) + (sqrt(11) - ((sqrt(176) - ((sqrt(176) + 2)**2 - sqrt(176))) + sqrt(176)))))). -178 - 11*sqrt(11) Simplify -6*6*5*sqrt(833)*-2*-5. -12600*sqrt(17) Simplify (5*(-3 + (sqrt(192) - (-1 + sqrt(192))) - (1*sqrt(192) + -5)) + 5)**2. -1600*sqrt(3) + 5200 Simplify (-3 + -3 + 2*((0 + sqrt(288))*-1 + sqrt(288) - (sqrt(288) - -1*sqrt(288)*-6)))**2. -1440*sqrt(2) + 28836 Simplify sqrt(243) - (4 + sqrt(243) + -3) - (sqrt(243) + (sqrt(243) + sqrt(243)*-1)*1). -9*sqrt(3) - 1 Simplify (3 + (2*(0 + sqrt(1331) + sqrt(1331) -
{ "pile_set_name": "DM Mathematics" }
sqrt(25) + sqrt(25))/(2*sqrt(80)). sqrt(5)/4 + 2 Simplify (((sqrt(189) - (sqrt(189) + (6*sqrt(189) - sqrt(189)))) + sqrt(189))/sqrt(9))/sqrt(7). -4*sqrt(3) Simplify (2 + sqrt(1300))*-6. -60*sqrt(13) - 12 Simplify ((sqrt(121) + (sqrt(121) + 2*sqrt(121))*-4 - sqrt(121))/sqrt(11) - (3 + sqrt(891) + -1))**2. 84*sqrt(11) + 4855 Simplify -3 + -5*(3 + sqrt(208) + 1). -20*sqrt(13) - 23 Simplify ((sqrt(153)*-1 - sqrt(153)) + 2)**2 + sqrt(153) + (-1*sqrt(153) + -3)**2. -3*sqrt(17) + 778 Simplify sqrt(102)/(sqrt(24)/(sqrt(8)/sqrt(2))). sqrt(17) Simplify (-4*((sqrt(1568) - (sqrt(1568) - (sqrt(1568) + 0)))*3 + sqrt(1568) + sqrt(1568)))**2. 627200 Simplify 2*((4*(sqrt(704) + sqrt(704) + sqrt(704)*-1))**2 + sqrt(704)). 16*sqrt(11) + 22528 Simplify (sqrt(16)/((sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(24)/sqrt(3)))*6) + sqrt(8)))**2. 1/8 Simplify (sqrt(45) - sqrt(2880)*1 - -1*(sqrt(45) + -1))**2. 36*sqrt(5) + 1621 Simplify (-5 + sqrt(17)*2)**2 + sqrt(17) - ((sqrt(17) - (sqrt(17) + 0)) + -2)**2. -19*sqrt(17) + 89 Simplify sqrt(2736) - (sqrt(2736)*1 + 3 + sqrt(2736)). -12*sqrt(19) - 3 Simplify 3 + sqrt(65)/(-6*sqrt(5)*-4 - sqrt(5)). sqrt(13)/23 + 3 Simplify sqrt(187)/(-5*((-2*sqrt(11) - sqrt(11)) + sqrt(11))). sqrt(17)/10 Simplify (5*sqrt(3)*2 + sqrt(3)*1 + 5 + sqrt(3))*-2. -24*sqrt(3) - 10 Simplify (3*(sqrt(539) + -4) - sqrt(539))**2. -336*sqrt(11) + 2300 Simplify ((sqrt(108) + 0)**2 + sqrt(108) - (-1*sqrt(243))**2)*5. -675 + 30*sqrt(3) Simplify 0 + (3 + (0 + sqrt(171) - sqrt(171)))**2. 9 Simplify (3*(sqrt(38) + sqrt(38)*-2 + sqrt(38)))/(sqrt(24)/(-2*sqrt(12))). 0 Simplify (0 + sqrt(396) + 2)**2. 24*sqrt(11) + 400 Simplify 2*2*2*sqrt(1539). 72*sqrt(19) Simplify sqrt(605) + (sqrt(605) - (-5 + -2 + sqrt(605))) + sqrt(605). 7 + 22*sqrt(5) Simplify 4*(-2 + sqrt(32)). -8 + 16*sqrt(2) Simplify (sqrt(5) - (sqrt(125)*-2 - sqrt(125))) + sqrt(320) + -2*sqrt(320). 8*sqrt(5) Simplify sqrt(539)*1 - sqrt(539) - 5*sqrt(33)/sqrt(3). -5*sqrt(11) Simplify (sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*2)) + sqrt(204))/sqrt(12) - sqrt(17) - sqrt(272)*4. -17*sqrt(17) Simplify -3 + (-2*(-1*sqrt(171) - sqrt(171)))/sqrt(9). -3 + 4*sqrt(19) Simplify sqrt(180) + (sqrt(180) + sqrt(180) + 2*sqrt(180))**2*-6. -17280 + 6*sqrt(5) Simplify 3 + (-6*(sqrt(1331) + 0) + -2)**2. 264*sqrt(11) + 47923 Simplify (sqrt(1080)*-2 - sqrt(1080))/((sqrt(110) + 1*sqrt(110))/sqrt(11)). -9*sqrt(3) Simplify 3 + 4*sqrt(320) + -4. -1 + 32*sqrt(5) Simplify 3 + 6*(sqrt(76)*-1*1)**2. 459 Simplify 3 + 2 + (2*sqrt(5))**2 + sqrt(5) + 5. sqrt(5) + 30 Simplify 5*(sqrt(88)/sqrt(11) + 0 - sqrt(8) - sqrt(8)). -10*sqrt(2) Simplify -2 + (-3 + sqrt(176))**2. -24*sqrt(11) + 183 Simplify ((-1*-3*sqrt(18))/((sqrt(36)*2)/sqrt(4)))**2. 9/2 Simplify (sqrt(637)*-2)**2 + 5. 2553 Simplify (sqrt(153)/((sqrt(72)*2 - sqrt(72))/sqrt(8)))**2. 17 Simplify sqrt(2736)*1 + sqrt(19) + -2 + 2. 13*sqrt(19) Simplify sqrt(50)/(1*sqrt(90) + sqrt(90))*-2. -sqrt(5)/3 Simplify (sqrt(24) - (sqrt(216) - 1*sqrt(216)))/((sqrt(200) - (sqrt(200) + sqrt(200)*-2)) + sqrt(200) + sqrt(200) - sqrt(8) - sqrt(8) - sqrt(8)). sqrt(3)/17 Simplify (4*-6*sqrt(72)*-2)**2. 165888 Simplify (0 + sqrt(55)/(sqrt(33)/sqrt(3)*-5))**2. 1/5 Simplify -1*(sqrt(17) + (sqrt(17) + 0 - sqrt(17))**2 + 3) + -2. -5 - sqrt(17) Simplify (4*sqrt(52)/sqrt(4)*-1 + -1)**2. 8*sqrt(13) + 209 Simplify ((((sqrt(121) - -1*sqrt(121)) + sqrt(121))*5)/(sqrt(110)/(sqrt(20)/sqrt(2))))**2. 2475 Simplify 2 + 1*sqrt(112) + (sqrt(112) - ((0 + sqrt(112) - sqrt(112)) + -2)) + sqrt(112). 4 + 12*sqrt(7) Simplify ((sqrt(99)/sqrt(3))/sqrt(11))**2 + (sqrt(24)*-1 + sqrt(24))/sqrt(8). 3 Simplify (sqrt(3) - (4 + sqrt(3)))**2 + 3 + (-1*sqrt(3)*-2 - sqrt(3)). sqrt(3) + 19 Simplify (-4*(-2 + sqrt(1872) - sqrt(1872)) + sqrt(1872) + 3)**2. 264*sqrt(13) + 1993 Simplify (1 + (sqrt(121) - (sqrt(121)*-5 - sqrt(121)))/sqrt(11))*-6. -42*sqrt(11) - 6 Simplify sqrt(77)/(sqrt(21)/(sqrt(3)*1) + sqrt(7)). sqrt(11)/2 Simplify (2 + sqrt(33)/sqrt(3) + sqrt(11))**2 + 4. 8*sqrt(11) + 52 Simplify 3 + (sqrt(40)/sqrt(5))/sqrt(4). sqrt(2) + 3 Simplify (((1*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(17) + sqrt(34)/sqrt(2) + 0)*-6)**2. 49572 Simplify -2 + sqrt(832) + (sqrt(117) + sqrt(117)*2 + sqrt(117))/sqrt(9). -2 + 12*sqrt(13) Simplify ((sqrt(448)*-2 + sqrt(448))/((sqrt(484)*1 + sqrt(4) - sqrt(4)) + sqrt(4)) + -3)**2. 2*sqrt(7) + 88/9 Simplify 0 + sqrt(7)*1 + 4 + sqrt(7) + sqrt(63). 4 + 5*sqrt(7) Simplify -3*(sqrt(304) - (sqrt(304) + (sqrt(304) + (-1 + sqrt(304))*-3)**2) - sqrt(304)). -132*sqrt(19) + 3675 Simplify (sqrt(7) + sqrt(56)/sqrt(8))*-3 + -3 + (sqrt(7) + -3)**2. -12*sqrt(7) + 13 Simplify ((sqrt(450)/(sqrt(9) + sqrt(9)*-5))/sqrt(10))**2. 5/16 Simplify -2*sqrt(931) - sqrt(304)*-1. -10*sqrt(19) Simplify ((sqrt(288) + sqrt(288)*2)/sqrt(6) - (sqrt(48) + sqrt(96)/sqrt(2)*3))*-1. 4*sqrt(3) Simplify 2 + -3*sqrt(1700). -30*sqrt(17) + 2 Simplify (4*(sqrt(45) + -2*sqrt(45) + -5)*5)**2. 12000*sqrt(5) + 28000 Simplify (-2*sqrt(325) + -4)**2. 80*sqrt(13) + 1316 Simplify ((2 + sqrt(2))**2 - sqrt(2))*6 + 3*(-2 + sqrt(2))**2. 6*sqrt(2) + 54 Simplify 3*3*(-2 + sqrt(180)). -18 + 54*sqrt(5) Simplify (sqrt(1700) + 2)**2 - (-3 + sqrt(1088))**2. 88*sqrt(17) + 607 Simplify 2 + sqrt(91)/(sqrt(84)/sqrt(48)). 2 + 2*sqrt(13) Simplify sqrt(33)/((2*sqrt(11) + sqrt(11))*-2). -sqrt(3)/6 Simplify sqrt(72)*2*-3 - (sqrt(72) + (1*sqrt(72))**2 + sqrt(72) + 3). -75 - 48*sqrt(2) Simplify sqrt(12)/(sqrt(36)*2)*2. sqrt(3)/3 Simplify (1*sqrt(63) + 4 + -5)**2. -6*sqrt(7) + 64 Simplify (((sqrt(374)*2 - sqrt(374) - sqrt(374) - sqrt(374))/sqrt(11))/(sqrt(2) + sqrt(8)/sqrt(4)*4 + sqrt(2)))**2. 17/36 Simplify -1 + (sqrt(396) + sqrt(44) - (-2*sqrt(44))**2). -177 + 8*sqrt(11) Simplify (-1*sqrt(99))**2 + sqrt(11) - (sqrt(77)/(3*sqrt(7)))**2. sqrt(11) + 880/9 Simplify 5*sqrt(75)*-1. -25*sqrt(3) Simplify 2*sqrt(21)/sqrt(3) + sqrt(14)/sqrt(18). 7*sqrt(7)/3 Simplify (sqrt(65)/(-5*sqrt(5)*1) + (3 + sqrt(52) + sqrt(13))*-2)**2. 372*sqrt(13)/5 + 13393/25 Simplify (-3 + sqrt(7) + 1)**2 + 0 + sqrt(42)/sqrt(6). -3*sqrt(7) + 11 Simplify (sqrt(2) + 2)*-5 + sqrt(2) - ((sqrt(8)/sqrt(4))**2 + 5). -17 - 4*sqrt(2) Simplify -5*(3 + -2*sqrt(2)). -15 + 10*sqrt(2) Simplify sqrt(396)/(2*sqrt(9)) - (0 + sqrt(44) + 0). -sqrt(11) Simplify ((0 + sqrt(343) + 0)*-4)**2. 5488 Simplify (-2 + 3 + sqrt(931))**2*1. 14*sqrt(19) + 932 Simplify (sqrt(170)/(sqrt(10) + (sqrt(10) + (sqrt(10) - sqrt(360)*-3) - sqrt(10))))**2. 17/400 Simplify sqrt(19) - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -2*sqrt(1539) - sqrt(1539))))**2 - (2 + sqrt(19)*-1 - sqrt(19)). -24626 + 3*sqrt(19) Simplify sqrt(34)/(sqrt(350)/sqrt(7) - sqrt(2)). sqrt(17)/4 Simplify (-1*(-2 + sqrt(17))*6)**2. -144*sqrt(17) + 756 Simplify (sqrt(18) + sqrt(36)/sqrt(8))/(sqrt(81) - sqrt(81)*2 - sqrt(9)). -3*sqrt(2)/8 Simplify (sqrt(75) - (-1 + sqrt(75)))**2 + -3 + 3. 1 Simplify (4*(-3 + sqrt(684)))**2*-1. -11088 + 576*sqrt(19) Simplify (sqrt(204)/(sqrt(60)/sqrt(5)*6))**2. 17/36 Simplify ((-3 + sqrt(63) - (sqrt(112) + (0 + sqrt(112) - sqrt(112)) + sqrt(112)))*2)**2*-2. -1472 - 240*sqrt(7) Simplify sqrt(12) + 2 - (sqrt(27) + (sqrt(432))**2). -430 - sqrt(3) Simplify (5*(-1*sqrt(65) - sqrt(65)))/sqrt(5). -10*sqrt(13) Simplify (sqrt(20)/(sqrt(6)/sqrt(3)))/(sqrt(72)*-1 - sqrt(2)). -sqrt(5)/7 Simplify sqrt(3)*-1*-6 - (sqrt(3) + (sqrt(75))**2 + sqrt(3))*-4. 14*sqrt(3) + 300 Simplify ((sqrt(160)*-2)/sqrt(8))**2. 80 Simplify sqrt(18)/(sqrt(12)/(-1*sqrt(2))). -sqrt(3) Simplify (5 + 1*(-2 + sqrt(2448)))**2. 72*sqrt(17) + 2457 Simplify (sqrt(228) - -3*sqrt(228)*-1)/(sqrt(972) + (sqrt(972) - 1*sqrt(972)) + sqrt(972)). -sqrt(19)/9 Simplify (-6*(1 + sqrt(180)) + sqrt(180))**2. 360*sqrt(5) + 4536 Simplify (0 + (sqrt(304) - (sqrt(304) + 2))*-6)**2. 144 Simplify (sqrt(44) - (sqrt(44) + -1))**2*-6. -6 Simplify 3 + ((2*sqrt(17))**2 - sqrt(17)) + -3. -sqrt(17) + 68 Simplify ((3*sqrt(85)*-1)/(sqrt(5) - sqrt(15)/sqrt(147)))**2. 833/4 Simplify ((sqrt(44) + -2 - sqrt(11))*-3)**2 + (-1 + (1*sqrt(88))/sqrt(8))**2. -38*sqrt(11) + 147 Simplify -4 + sqrt(153)*1 + sqrt(17) + 4. 4*sqrt(17) Simplify (sqrt(2448) + 1)*-5. -60*sqrt(17) - 5 Simplify ((0 + sqrt(1584)*1 - sqrt(1584)) + sqrt(1584) + sqrt(1584))**2*-1. -6336 Simplify 5 + (-5*sqrt(228)*3)/sqrt(12). -15*sqrt(19) + 5 Simplify (sqrt(17) -
{ "pile_set_name": "DM Mathematics" }