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80 + -478. Suppose 0 = -4*g + q + 1007, -s*q - 874 = -v*g + 128. Is g composite? True Suppose 0 = 4*d - 20, a + 2*a - 12701 = -4*d. Is a composite? True Suppose -2*v - g = -2678, 2*v - 2672 = 2*g - 6*g. Let m = v - 595. Is m prime? False Let q = -67 - -85. Let m be 8/36 + (-166)/q. Let r(p) = -72*p - 17. Is r(m) a prime number? True Suppose 7*f - 61 = 93. Suppose 5*b = -2*g - 0*b + 19, 5*g - f = -4*b. Suppose 1035 = g*i + 3*i + 5*t, -t = 3*i - 617. Is i prime? False Let d be (-2)/(-5 + 91224/18246). Suppose 4*o - 2*h + 6*h - 6100 = 0, -5*h - d = -4*o. Is o composite? False Let v be (306/15)/(1/5). Let t be (-5564)/(-20) + -6 + (-272)/(-40). Let z = t - v. Is z a composite number? True Suppose -z = -3*r - 55 + 12, r = -1. Let a(i) = -8*i + z*i**2 - 3*i + 7*i + 9. Is a(4) composite? True Suppose 15980 = -5*v + 10*v. Let i = v + -2131. Suppose 21*n = 26*n - i. Is n a prime number? False Suppose 6009*m - 6005*m - 1751236 = 0. Is m composite? False Let n(j) = -8*j + 112. Let z be n(14). Suppose -13*c + 31994 + 129323 = z. Is c a prime number? True Is ((-6)/10)/((-360)/52102200) composite? False Suppose 5*s - 318705 = -5*n, 2*n - 4*n = s - 63745. Is s composite? False Let n be (-2 - -49831) + (0 - (9 - 4)). Let w = n - 29695. Is w a prime number? True Let k(v) = v**3 - 4*v**2 + 66*v - 230. Is k(39) prime? True Let y(d) = d**3 + 16*d**2 + 13*d - 21. Let h be y(-15). Suppose -4*o - 6861 = -h*o + 4*q, 2*o - 2746 = 2*q. Is o prime? False Let w be (-16)/8 - (0 - -8). Let j be 3 - (-6)/(-4) - 35/w. Is -7 + -2 + j + 257/1 a composite number? True Let u(n) = -n**3 - 17*n**2 + 6*n - 5. Let l be u(-18). Suppose -6*j + 977 = -l. Let r = 287 - j. Is r a composite number? False Let t(y) = y**3 + 10*y**2 + 10*y - 14. Let m be (1*6)/(87/(-116)). Is t(m) composite? True Suppose -8*g + m = -4*g + 5, -4*m = 7*g + 26. Is g*(3 + (-29050)/20) prime? False Suppose -23 = 14*x - 10369. Let r = 2396 - x. Is r a composite number? False Let h = 144 - 141. Suppose h*o - 1247 = 1474. Is o composite? False Suppose -39*m + 61*m = 203038. Is m prime? False Is 32011 - 36/24*8 a composite number? True Let i be (10/(-36) - 4/18)*-2. Let o be i/(3/24) + -3. Suppose 300 - 55 = o*g. Is g a prime number? False Suppose 122971 = 5*g + 2*l, -5*g + 39375 = 4*l - 83602. Is g prime? True Let b(v) = -3*v + 0*v - 2 + 4*v - 3*v. Let s be b(-12). Suppose -17*t - 2575 = -s*t. Is t prime? False Let j(d) = -536*d**3 - 27*d**2 + 40*d + 171. Is j(-12) composite? True Let b = 353 + -363. Is (2 - 39458/b)/((-6)/(-30)) a prime number? True Let y = 853472 - 464891. Is y a prime number? False Let l = 2440 - 919. Let i = -784 + l. Is i a composite number? True Is 24/(-44) - (-2465355)/165 a prime number? False Let h = 35 - 37. Let w be (1/h)/(1/(-2978)). Suppose -2*l = -s - w, -5*l - s - s = -3727. Is l prime? False Let b be (-32)/(-12)*(-3)/(-4). Let n(a) = 672*a**2 + 15*a + 1. Is n(b) prime? True Let l be (-1)/(5/(-248134)) + 320/(-400). Is (-8)/12*l/(-36) a prime number? True Suppose 272 = -23*m - 372. Is 43636*((-2)/8 - 14/m) a composite number? False Let f(n) be the third derivative of -n**4/24 - n**3/6 - 24*n**2. Let t be f(-19). Is (-2778)/(-36) - 3/t a composite number? True Suppose 3*t - 4*t = 5120. Let h = -1777 - t. Is h a prime number? True Let d(f) = 32*f**2 + 3*f + 31. Let c be d(-7). Let g = c - 496. Is g prime? False Let d(u) = -42*u**3 - 5*u - 7. Let w be d(-3). Let z be ((-8)/10)/((-4)/(-10)). Is (w/(-8))/(z/8) a prime number? True Suppose 474386 = -39*z + 41*z - h, -5*z + 3*h = -1185967. Is z composite? True Let r be 2/1 - (-3 + -6 + 7). Suppose 2*g + m + 392 = 3*g, 3*m - 1603 = -r*g. Is g prime? True Suppose -4*r = -138332 - 11192. Is r composite? True Is 14778 - 10/(-40)*20 composite? False Let m = 7112 - -6761. Is m composite? False Let c be (-7 + (0/4)/4)*1. Is 7 + c + 5 - -11264 a prime number? False Suppose 0 = -2*n + 148*i - 152*i + 757534, 4*i = -24. Is n a prime number? True Let h(x) be the third derivative of 11*x**5/10 - 5*x**4/6 - 53*x**3/6 - 29*x**2. Is h(-9) prime? False Let w(y) = -487*y + 37. Let d be w(-16). Suppose -39181 = -4*t - t + 2*v, t - 4*v = d. Is t prime? False Let b = 164 - 159. Is 3*(b + 2114/21) composite? False Suppose 0 = 60*v + 681392 - 2415932. Is v composite? False Let y = 539 + 2090. Suppose 0 = -6*n + y + 113. Is n a prime number? True Is (1 - (-22)/(-18)) + (-2805436084)/(-4068) composite? True Suppose 37756316 = 61*p - 18224421. Is p a prime number? False Let i(k) = 4*k - 1. Let w be i(1). Suppose -8*g + w*g = -15. Suppose g*a - 1239 = -0*a. Is a a prime number? False Let n = 42051 - 30040. Is n a composite number? False Suppose 3*c - 133446 = u, 5*c - 16*u = -11*u + 222400. Is c prime? True Suppose -1121112 = 29*l - 3812921. Is l a composite number? False Suppose 5*i - i = -2*o - 10, 5*i - 2*o + 35 = 0. Let s(y) = 35*y**2 + 3*y + 11. Is s(i) composite? True Let o = 458544 + -26779. Is o prime? False Suppose 0 = -3*w + 7*w - 1060. Let h = -879 + w. Is h*((-9)/6 + 1) a prime number? True Let t = -19145 + 169432. Is t composite? False Let h be (((-205)/3)/(-5))/((-2)/(-12552)). Is (-54)/(-126) - h/(-14) composite? True Let m = -924115 + 1932746. Is m a prime number? False Let d(s) be the first derivative of -23*s**5/20 - s**4/3 - s**3 - 3*s**2/2 - 41*s + 3. Let r(j) be the first derivative of d(j). Is r(-2) prime? False Let v(l) = 7581*l**2 - 16*l - 16. Is v(-3) a composite number? False Suppose -15 = 5*x, -s - 29 = -5*s + 3*x. Suppose -3508 = -5*a + o, -5*o = -s*a + 2901 + 619. Is a a composite number? False Is (17 - 51283/2)*(-2)/3 composite? True Suppose 1013 + 20579 = 8*n. Let l = n + -1860. Is l a prime number? True Let m be (28/(-6))/(3 + 212/(-72)). Let l = m + 105. Let f = l - -136. Is f a prime number? True Suppose -7*x + 18808 = 3*i - 11*x, -4*x = 16. Suppose i + 32848 = 8*a. Is a a composite number? False Let z(f) = -4034*f - 11. Suppose -5*j = 3*b + 4, -6 = j - 0*j - 2*b. Is z(j) a prime number? False Let s = -496714 + 941055. Is s prime? True Let s = 808117 - 19508. Is s a prime number? False Suppose 153*v - 1304923 = -356782. Let h(o) = o + 2583. Let t be h(0). Suppose -v = -4*w + t. Is w composite? True Is ((-3)/(-9))/(2/13038) - -6 a composite number? False Let m = 43 - 44. Let u be 6 + 20 + 3*m. Suppose 26*f - 903 = u*f. Is f a prime number? False Let t = 577 - 582. Is 1916*t/(-30)*3 a prime number? False Suppose -145*v - 35 = -146*v. Suppose -v*c + 39*c = 41044. Is c a prime number? False Suppose 2*y + 3*q = 441139, 844*q - 220567 = -y + 842*q. Is y composite? True Is (-10)/(-65) - 838522/(-26) prime? True Suppose -2*r - 2908 = 2*r. Let l be (-18)/24*(623 + 2/2). Let s = l - r. Is s prime? False Let l = 7 + 8. Let k(p) be the first derivative of 55*p**2/2 - 16*p + 64. Is k(l) composite? False Let m be (11/2)/(((-2)/(-12))/(-1)). Let a = -28 - m. Suppose 0 = a*o - 3927 - 3868. Is o composite? False Let w be ((-16)/(-20))/(((-8)/659830)/2). Is (-14)/(-105) + w/(-30) prime? False Suppose 0 = 40*z + 40*z - 11565771 - 3411109. Is z a prime number? True Let j(i) = 100774*i + 11117. Is j(6) prime? True Suppose -4*r = 19 + 173. Let j be r/(-84) - 972/(-14). Suppose -114*g + j = -112*g. Is g a composite number? True Let y(r) = 7*r**2 - 16*r + 12. Suppose 4*u = -k - 48, u - 4*k + 12 = -0*k. Let a be y(u). Suppose 10*j - 14*j = -a. Is j prime? False Let o = -1374 - -4248. Suppose 348*i - o = 342*i. Is i a composite number? False Suppose 5*l = 5*x + 776505, 2*l - 47*x = -49*x + 310594. Is l prime? True Suppose 2*k = -0*k + 58. Suppose k*x = 22*x + 6951. Is x composite? True Let v(t) = 5639*t**2 + 222*t + 10. Is v(-9) prime? False Let t(r) = 6*r**2 + r - 3. Let a be t(-2). Suppose -a = -h + 5*d, 2*d = h - 9 - 1. Is (-1)/h*-3166*2 a composite number? False Let o be 9/(-4)*((-112)/12)/7. Suppose 121 = o*z - 242. Let i = z + -82. Is i a prime number? False Suppose 4*c - 6*t = -2*t + 196, -5*c = -3*t - 237. Let y = c + -8. Suppose -y*l + 40*l = 1143. Is l a prime number? False Let t(n) = -472*n - 25. Let j be t(12). Let h = 17594 + j. Is h a prime number? False Suppose -5*r - 4 = -5*u + 1, -12 = -5*u - 2*r. Suppose 0 = j - 5*c - 372, -u*j = 9*c - 6*c - 770. Is j a composite number? True Suppose -85 = -5*l + 3*c + 390, -4*l + 380 = -c. Let h be 1/(
{ "pile_set_name": "DM Mathematics" }
g(o) = 256*o + 92323. Give g(-359). 419 Let g(b) = -107*b + 897. Determine g(11). -280 Let j(x) = -251*x - 190. Determine j(-1). 61 Let l(q) = 3*q**3 - 74*q**2 + 615*q - 46. Calculate l(11). 1758 Let j(w) = -173415*w - 1907600. Calculate j(-11). -35 Let m(v) = -24*v**2 - 781*v - 338. Calculate m(-30). 1492 Let a(h) = 405*h**2 - 5705*h + 486. Determine a(14). -4 Let w(q) = 90*q**3 - 10*q**2 + 133*q - 419. What is w(3)? 2320 Let y(q) = 7*q**2 - 1958*q - 399626. What is y(-137)? 3 Let w(v) = 399*v**2 + 626429*v - 1562. Determine w(-1570). 8 Let u(z) = -z**2 + 229*z - 12356. What is u(142)? -2 Let w(x) = -x**2 + 59*x - 658. Give w(35). 182 Let m(u) = -168*u - 3587. Give m(-31). 1621 Let y(u) = -46*u**3 - 24*u**2 - 113*u - 85. Determine y(-3). 1280 Let u(j) = -1212*j + 409666. Calculate u(338). 10 Let a(c) = 55*c**2 + 8486*c - 16976. Give a(2). 216 Let a(j) = 12300*j - 627358. Calculate a(51). -58 Let r(c) = c**3 + 32*c**2 + 217*c - 199. Give r(-21). 95 Let s(b) = -2*b**2 + 301*b - 9267. Calculate s(107). 42 Let r(o) = 7*o**2 + 134*o - 1196. Determine r(-25). -171 Let z(c) = 256*c + 18803. Calculate z(-74). -141 Let a(c) = -24*c**3 - 5211*c**2 - 646*c - 320. Calculate a(-217). -1405 Let o(k) = 4*k**3 - 168*k**2 - 194*k + 1042. Determine o(43). 96 Let k(z) = -2*z**3 + 28*z**2 + 37*z - 28. Give k(14). 490 Let g(z) = 905*z + 25121. Calculate g(-31). -2934 Let f(u) = -6*u**2 - 1145*u - 13035. Calculate f(-179). -326 Let y(b) = 2*b**2 - 1993*b + 98469. What is y(52)? 241 Let c(u) = -9*u**3 - 376*u**2 + 98*u + 663. Calculate c(-42). 75 Let z(i) = -176*i - 1443. Calculate z(-10). 317 Let o(q) = 126*q - 12299. Calculate o(99). 175 Let u(m) = m**3 + 3*m**2 - 1567*m - 372. Determine u(-41). -3 Let v(h) = 2068*h + 77055. Calculate v(-37). 539 Let m(g) = -g**2 - 3931*g + 51258. What is m(13)? -14 Let d(b) = 13009*b + 1756158. Calculate d(-135). -57 Let y(j) = -432*j + 19442. Calculate y(45). 2 Let m(z) = z**3 - 4*z**2 - 90*z + 79. What is m(-11)? -746 Let r(a) = -2*a**2 + 96*a + 607. Calculate r(59). -691 Let x(g) = 3291*g - 240168. Give x(73). 75 Let y(v) = -21052*v + 188990. Determine y(9). -478 Let x(d) = -d**3 - 34*d**2 - 24*d + 53. Determine x(-33). -244 Let m(n) = -34*n**2 + 4*n + 15. Determine m(-7). -1679 Let o(s) = -587*s**2 + 5607*s + 2620. Calculate o(10). -10 Let t(d) = -2*d**3 + 934*d**2 - 10030*d - 930. Give t(456). -18 Let g(x) = -x**3 + 70*x**2 - 39927*x + 2794884. What is g(70)? -6 Let n(v) = -17*v**3 - 2*v**2 + 9*v + 12. What is n(-1)? 18 Let o(a) = -21*a**2 - 173*a - 1412. What is o(-18)? -5102 Let m(d) = 275*d**3 - 7*d**2 - 178*d - 336. Calculate m(-2). -2208 Let r(u) = 787842*u + 55148940. Give r(-70). 0 Let l(m) = -3*m**3 + 81*m**2 - 149*m + 102. Calculate l(25). 127 Let j(x) = -x**3 + 56*x**2 + 329*x - 12341. What is j(58)? 13 Let a(d) = -1089*d - 54326. Give a(-50). 124 Let w(k) = -k**3 - 13*k + 50. What is w(4)? -66 Let w(h) = -17*h**3 - h**2 - 17*h - 10. Calculate w(-2). 156 Let w(b) = b**3 + 243*b**2 + 12595*b - 848. Calculate w(-168). -8 Let a(m) = -241*m**2 - 3950*m - 1481. Calculate a(-16). 23 Let v(g) = 11*g + 257. What is v(-13)? 114 Let v(w) = w**2 - 141*w + 1894. Give v(120). -626 Let m(q) = 269*q + 30081. Give m(-112). -47 Let v(z) = z**2 + 206*z - 10396. What is v(47)? 1495 Let q(l) = 899*l - 146506. Give q(163). 31 Let x(s) = 2*s**3 - 109*s**2 - 405*s - 90. What is x(58)? -32 Let f(u) = -1399*u**2 - 1422*u + 3. Determine f(-1). 26 Let b(g) = 3*g**3 + 5*g**2 - 46*g - 5. Give b(-9). -1373 Let a(m) = 2*m**2 + 27*m - 16611. Calculate a(-98). -49 Let n(q) = -117*q**2 - 18471*q + 2374. Calculate n(-158). 4 Let t(s) = 3067*s - 12360. What is t(4)? -92 Let v(w) = w**3 - 28*w**2 + 38*w + 212. Calculate v(26). -152 Let z(u) = -297*u**2 - 101272*u + 1668. Determine z(-341). -37 Let y(p) = -3*p**2 + 180*p - 1449. Give y(9). -72 Let p(u) = -81*u**2 - 96*u + 496. What is p(5)? -2009 Let q(v) = 33*v**3 - 223*v**2 - 18*v - 264. Give q(7). 2 Let x(g) = -g**3 + 187*g**2 + 1621*g - 11894. What is x(195)? 1 Let a(i) = -1351*i**2 - 104012*i + 1162. Calculate a(-77). 7 Let x(v) = v**2 + 2426*v + 167214. Calculate x(-71). 9 Let s(x) = 51*x**2 - 1652*x + 1019. Calculate s(31). -1182 Let o(w) = -2*w**2 - 497*w + 14740. Determine o(29). -1355 Let o(s) = s**3 - 72*s**2 - 147*s + 50. Calculate o(74). 124 Let v(u) = -u**2 + 162*u - 5084. Calculate v(118). 108 Let a(u) = u**3 - 3*u**2 - 16*u + 32. Determine a(5). 2 Let a(m) = -26085*m - 155714. What is a(-6)? 796 Let z(t) = t**3 - 14*t**2 + 52*t - 3. Give z(9). 60 Let r(c) = -c**2 + 275*c - 3902. Calculate r(15). -2 Let h(o) = 819*o**2 + 30320*o + 627. What is h(-37)? -2 Let d(m) = 2505*m - 15717. Calculate d(7). 1818 Let h(k) = k**3 - 80*k**2 + 283*k + 1546. Give h(76). -50 Let k(b) = 196060*b + 980306. What is k(-5)? 6 Let c(h) = -780*h - 96388. Give c(-125). 1112 Let j(l) = -16717*l - 83612. Determine j(-5). -27 Let d(q) = q**3 - 123*q**2 - 561*q + 83351. Give d(122). 25 Let n(b) = 32748*b - 327639. Calculate n(10). -159 Let l(w) = 4426*w - 606354. What is l(137)? 8 Let c(b) = -b**3 + 69*b**2 - 69*b - 338. Calculate c(68). -406 Let j(t) = t**3 - 28*t**2 + 86*t + 906. Determine j(10). -34 Let j(g) = -803*g**2 + 651236*g - 2436. Calculate j(811). -3 Let p(w) = -25*w**2 + 815*w + 205. Calculate p(33). -125 Let c(b) = 19346*b + 135481. What is c(-7)? 59 Let l(d) = -10*d**2 + 39*d - 23. What is l(7)? -240 Let d(f) = 3*f**3 + 203*f**2 - 89*f - 2128. Give d(-68). -700 Let y(z) = -12*z + 3312. Calculate y(278). -24 Let w(c) = -1381*c + 35452. What is w(26)? -454 Let z(q) = 17*q**2 + 108*q - 472. Give z(-10). 148 Let x(j) = -48*j - 671. Determine x(-5). -431 Let s(h) = 16*h**2 - 7924*h + 10511. Give s(494). 631 Let v(u) = u**2 + 145*u + 5069. Calculate v(-67). -157 Let p(t) = 207*t**2 + 65*t + 67. Calculate p(-1). 209 Let p(l) = -16*l**2 - 111*l - 17. Determine p(-7). -24 Let b(u) = -14*u**3 + 13*u**2 + 70*u - 246. Determine b(3). -297 Let j(b) = b**2 + 752*b + 111813. Calculate j(-204). 21 Let w(h) = -50*h**2 + 1070*h + 45. Calculate w(22). -615 Let l(d) = 213*d + 12893. Calculate l(-58). 539 Let m(w) = 158*w**2 - 4507*w + 2309. Determine m(28). -15 Let g(n) = 15*n - 1177. Give g(98). 293 Let o(n) = -n**3 + 373*n**2 + 3039*n + 3436. What is o(381)? 7 Let v(t) = -4574*t - 6142897. Determine v(-1343). -15 Let i(o) = 254591*o - 6619369. Give i(26). -3 Let i(n) = n**3 + 666*n**2 + 3184*n - 79993. Give i(-661). -12 Let r(m) = -4432*m**2 - 66365*m - 29. Determine r(-15). -1754 Let r(s) = 6*s**2 + 435*s - 6822. Give r(15). 1053 Let w(v) = -6540*v - 26122. What is w(-4)? 38 Let g(i) = -2702905*i - 24326147. Calculate g(-9). -2 Let b(a) = 1370*a + 60345. Give b(-44). 65 Let d(c) = -16*c**2 - 1110*c - 13033. Determine d(-15). 17 Let d(w) = w**3 + 30*w**2 + 51*w - 108. Calculate d(-28). 32 Let w(c) = -2*c**3 - 14*c**2 + 125*c + 851. Give w(-6). 29 Let t(m) = -6*m**3 + 41*m**2 - 189*m + 1641. What is t(7)? 269 Let v(i) = -2*i**2 - 2272*i - 95783. Calculate v(-44). 313 Let t(u) = 4424*u - 544162. Give t(123). -10 Let a(r) = 11069*r + 121781. Determine a(-11). 22 Let n(c) = 7*c**3 - 3*c**2 - 31*c - 89. Determine n(9). 4492 Let x(m) = 50637*m + 2379946. Give x(-47). 7 Let c(u) = 2577*u + 100545. Give c(-39). 42 Let a(l) = -l**3 + 40*l**2 + 329*l + 212. What is a(-7)? 212 Let r(h) = 239*h + 21800. What is r(-77)? 3397 Let c(z) = z**2 - 3031*z + 9094. What is c(3)? 10 Let a(h) = -7*h**2 + 166*h + 857. Give a(28). 17 Let h(f) = 2*f**2 + 19712*f + 78826. What is h(-4)? 10 Let s(a) = -6*a**3 + 4*a**2 + 7858*a - 7858. Give s(1). -2 Let a(y) = -3596*y + 94863. What is a(27)? -2229 Let l(b) = 1507*b - 803. Determine l(1). 704 Let f(w) = 55700*w**2 - 8*w + 1. Determine f(0). 1 Let d(w) = 2487*w + 504857. Calculate d(-203). -4 Let y(h) = 214*h - 692. Calculate y(-3). -1334 Let a(z) = -4*z**2 - 396*z + 388. Calculate a(-100). -12 Let i(f) = 3*f**3 - 79*f**2 - 285*f - 126. Determine i(29). -1663 Let x(w) = w**3 - 163*w**2 + 3790*w - 280. What is x(28)? 0 Let r(k) = k**2 - 22*k + 136. Calculate r(15). 31 Let g(b) = b**3 + 2614*b**2 - 5227*b - 14. What is g(2)? -4 Let d(v) = 6*v**2 - 81*v - 514. Determine d(-5). 41 Let n(y) = -15*y**3 + 42*y**2 + 134669*y - 403986. Calculate n(3). -6 Let m(p) = -12885*p - 128912. Give m(-10). -62
{ "pile_set_name": "DM Mathematics" }
+ 3. Let i be l(-8). Do i and 19 have the same value? True Suppose -4*w + 3*w + 78 = 3*x, 2*x + 2*w - 56 = 0. Let p be 4/x*1/(-2). Suppose -2*b - 3*b - 17 = -3*j, b = -4. Which is smaller: j or p? j Let a be 2/3 + 12072/(-18126). Which is greater: a or -1? a Suppose 2*t = 3*t. Let y = 5184 - 5137. Is y bigger than t? True Let t be (-1 - 4) + 53 + 2. Do 52 and t have different values? True Let l = 1.327 - -0.273. Let f = 35.7 + -34. Let r = f - l. Which is smaller: 2/7 or r? r Let k = 121 - 131. Do k and 4/13 have the same value? False Let i(m) = -m**2 + 4*m + 3. Let u be i(4). Let o be (20/u)/(5/15). Let h be (0 + -2)*(-50)/o. Is 6 at least as big as h? True Suppose t - 3*t = -2, 0 = -3*s + 2*t + 37. Suppose -s = 3*g + 10*g. Are 41 and g unequal? True Let i be 8/(-17)*(-1 - 68/(-8)). Which is bigger: -5 or i? i Let p = -11/38 + 797/2622. Suppose 0 = 2*o + o. Is o > p? False Suppose -5*t - 32 = -t. Let k(c) = 14*c**2 - 62*c + 63. Let m(x) = 5*x**2 - 21*x + 21. Let d(s) = 4*k(s) - 11*m(s). Let u be d(15). Is t less than u? False Let h = -385 + 458. Is 215/3 <= h? True Let m = 3 - 1. Let v(q) = -q**2 + 7*q + 4. Let z be v(7). Suppose p = z*l + 1 - 0, 0 = 3*p - 15. Is l less than m? True Let g = -287 + 408. Let l = 121 - g. Is l less than -20? False Let q be (-4)/(-34) + (-1177)/(-1122). Let m = -1 - -3. Which is smaller: q or m? q Let k = 4 - 9. Let t = 35 + -41. Let l(x) = 6*x + 33. Let w be l(t). Are k and w unequal? True Let y be 15/(-10) + 2/4. Let l be ((-51)/15 - y)*-5. Let g = l - 12. Is g > 4/3? False Let r = -785 - -785. Let x = 17 - 117/7. Which is bigger: r or x? x Let s(a) = a**3 + a**2 + a + 7. Let m be s(0). Suppose 2*h - 16 = 5*t, -5*h + m = -5*t - 3. Let n be 25/4*(-17)/85. Is h <= n? True Suppose c = -3*r + 75, 8 = 2*r - 4*c - 28. Let o = 4046 + -4024. Which is smaller: o or r? o Let i = 74 - 46. Let m = i - 27. Is m at least -9? True Let t = 1 + 1. Let m = -6825 + 40955/6. Is m at least as big as t? False Let s be -4 - -2 - -17 - 3. Suppose 3*r = 2*p - 3, -3*r - p = -6*p + s. Which is greater: -2/133 or r? r Let k = 101/6 + -517/30. Which is smaller: -0.2 or k? k Let x(u) = 4*u + 40. Let t be x(-10). Let k = 34674/23 - 1508. Which is smaller: k or t? k Suppose -x + 417 = 5*y, 5*x + 0*x - 2220 = 2*y. Let w = -20775/47 + x. Which is bigger: w or 0? 0 Let v be (-1)/(-6) - 860/(-24). Let s be ((-11)/((-33)/v))/(-1). Let k = -30 - s. Is -18 <= k? True Let h = 0.013 + 23.987. Let v = h - 24.01. Let g(d) = d. Let a be g(0). Is v at least a? False Let n = -4731/28 + 677/4. Which is bigger: n or -0.379? n Let v = -15.1 + 0.1. Let w = 14.9 + v. Is w <= 4? True Let l = 136 - 129. Which is bigger: 3 or l? l Let h be (-12)/(-9) + 896/(-636). Is 1 > h? True Let g(k) = -k**3 - 5*k**2 - 6*k - 9. Suppose -3*m + 2*i = 16, 2*m + 2 = 2*i - 10. Let o be g(m). Are -1/27 and o non-equal? True Let d = 1420 + -1419.97. Let n be 18/8 + -2 - 1. Which is bigger: n or d? d Let m = -20 + 23.4. Let a = -12.4 + m. Is a bigger than 0? False Let x = 0 + 169. Let z = 5912/35 - x. Which is bigger: 0 or z? 0 Suppose -4*w = -7*w + 24. Suppose -4*c + 24 = -4*z, -5*z = 3*c - z - 4. Are w and c non-equal? True Suppose 0 = 5*l + 3*c - 282, -l - c + 58 = -0*l. Let k be (106*(-5)/(-60))/(2/12). Which is smaller: l or k? k Let b be ((-24)/22)/(3/(-808)). Suppose 0 = -5*w - x - 1049 - 425, w + 4*x + 310 = 0. Let v = b + w. Are v and 1 equal? False Suppose -2*h - c + 0*c - 4 = 0, 5*c = h - 20. Suppose h*j = 7*j. Is -3/10 at least as big as j? False Suppose -3*t - 39 = 3*g + 135, 3*g = 5*t + 330. Let w(s) = -21*s + 22. Let f be w(4). Are t and f non-equal? True Let x = 0.174 - 0.014. Let h = 0.06 - x. Which is greater: -4 or h? h Suppose 5*m + 20 = 3*m. Let o = m + 14. Suppose -2*b + o = -3*b. Which is bigger: b or -5? b Let i(p) = 3*p**2 - p**2 + 2 - 5*p + 2*p + p**3. Let z be i(-3). Suppose -z = -12*h + 14*h. Which is smaller: -3/16 or h? h Let z(l) = l**3 - 4*l**2 + 5*l - 25. Let w be z(4). Let d(u) = -u**2 + 8*u + 11. Let s be d(8). Let x = 7 - s. Is w less than or equal to x? True Suppose 2*t + 5*m = -23, 2*m = 2*t - 0*m + 30. Let n be t*(-10)/(-15) - -2. Which is bigger: n or -7? -7 Let t be 3*-14*(-3)/(-9)*3. Let o = -44 - t. Which is smaller: 0.28 or o? o Let s be ((-4)/(-6))/(44/(-1650)). Is s > 11? False Let b = 13 - 16. Let d(h) = 2*h**2 + 3*h - 4. Let c(m) = -2*m**2 - 4*m + 4. Let v(n) = b*d(n) - 2*c(n). Let a be v(2). Is a <= -4? True Let d = 94/85 + -12/17. Let y be ((-36)/(-42))/(2/14). Let u be y/(-45) - (4 + (-47)/15). Is d at least as big as u? True Let j be (5/25)/((-112)/(-385)). Which is greater: j or 1? 1 Let y = 19 - 62. Let s = 35 + y. Let a = 38 - 115/3. Do a and s have the same value? False Suppose 4*w + 38 - 46 = 0. Suppose -5*r = -5*t - 7 + 2, -4*r - 2 = w*t. Let b be 1 - (-14)/(-18)*1. Which is smaller: b or t? t Suppose 4*q = 5*q. Let k be (-2 + -4)/(36/(-8)). Which is smaller: q or k? q Let n = -638 + 636. Is -4 not equal to n? True Let u = 10.04 - 10.05. Is u equal to -97? False Suppose 2*q - 13 = -1. Suppose -2*f = f - q. Suppose -f*d = 1 + 3. Is d bigger than -8/5? False Let j = -659 - -279. Let g = 1154/3 + j. Which is bigger: 6 or g? 6 Let p = -37 - -8. Let a = 10 + p. Let u = a + 18.9. Is -26 greater than or equal to u? False Let z be ((-37)/1110)/((-1)/21). Is z at most as big as 1? True Let y be (-12)/8*(-2)/(-1). Let u(q) = 3*q**2 + 2*q + 10*q**3 - 14*q**3 - 4 + 5*q**3. Let z be u(y). Which is greater: -11 or z? z Suppose 0 = -4*u + 48 + 4. Let a(p) = -p**3 - 8*p**2 - 6*p + 10. Let y be a(-7). Suppose 28 = y*q - q. Is u < q? True Let s be 1780/(-4275) - 24/(-228). Which is smaller: 1 or s? s Suppose -5*y - 6 = m - 8*y, 0 = 4*m - y + 2. Which is smaller: -0.72 or m? -0.72 Let z = -1 - -1. Let r = -3920 - -43124/11. Which is smaller: z or r? z Let z = -242 + 234. Which is smaller: z or -14/5? z Suppose 2*d = -2*d - 60. Let b be -2*2 + 17 + d. Let f(x) = x**2 - 4*x + 3. Let l be f(4). Which is smaller: b or l? b Suppose 0 = 4*f - 27 - 29. Let r = -28.16 - -28.06. Is f != r? True Let t(s) = s**2 + 4*s - 7. Let l be t(2). Which is greater: 4.9 or l? l Let k = 4.46 - 4.5. Let j = -8.04 - k. Is j at most 3? True Suppose i + 4*w - 110 = 0, -2*w - 200 = 2*i - 4*i. Is 101 < i? True Let s = 2.1 + -2. Let v = -0.5 - -4.5. Let u = -3.5 + v. Is u greater than s? True Let h be 6 + (-2 - 2 - -1). Suppose 9 = h*v - 21. Let d(w) = -w + 6. Let j be d(v). Are -2 and j nonequal? True Let z = -191 + 103. Let m = 88 + z. Are -13 and m nonequal? True Let r = -1.6 + -4. Let q = 14.6 + r. Are -1/2 and q unequal? True Suppose n + 16 = 18. Suppose 2*o + n*o = 5*z + 33, 5*o + 5*z + 15 = 0. Which is bigger: 16/9 or o? o Let z = 20 - 44. Let g be 12/(-8) + -2*261/(-12). Let m = z + g. Do 18 and m have the same value? True Let u be (-114)/(-27) + (-3)/(-54)*-4. Suppose 0 = -u*r + 9*r + 5. Is r < 3? True Let r be 10 + 17702*(-4)/7080. Which is smaller: r or 1? r Let h be 2/4*-2*0. Let s = 1.08 + -1.58. Is h not equal to s? True Let y be (-2)/(-8) - (-3)/(-12). Suppose y = -0*k + 5*k + 4*p - 19, 4*p = 4*k - 44. Suppose -9*v + 8*v + 8 = 0. Which is smaller: v or k? k Let i be 2/4*(0 + 0). Let r be (1/(-5))/(34/(-4)). Is r greater than i? True Let h = 2.06 + -0.06. Let y be (1/16)/(8/48). Which is smaller: y or h? y Suppose -5*d + 0 - 5 = 4*b, -b - 5 = 5*d. Suppose -2*p + b = 4. Let m be p/(-3) - 25/(-3). Do m and 9 have different values? False Let c(b) be the second derivative of b**4/12 - 3*b**3/2 - 9*b**2 - 10*b. Let l be c(11). Let u be l/(-6) + (-75)/(-99). Which is greater: 0 or u? u Let b = 121/47 + -54809/94. Which is smaller: b or -582? -582 Let h(r) = 5*r**2 - 3*r - 22. Let d(s) = 32*s**2 + 22 - 19*s**2 + 3*s - 17*s**2. Let l(j) = 4*d(j) + 3*h(j). Let x be l(7). Do -6 and x have different values? False Suppose 3*d - 3*b = 42, b + 6 = 3*d - 30. Let k be ((-1)/(-3))/(d/2). Let h = 703/165 - k. Is h less than or equal to 3? False Suppose -4*x = -2*j + 316, 0 = -5*j + 4*x + 111 + 655. Suppose -8*p + 2*p = -j. Which is smaller: p or 24? 24 Suppose -63 - 84 = 21*b. Does -166/23 = b? False Let u = 37 - 37. Let q = 1/4 - u. Is q equal to 8? False Suppose -c - c = -4*i - 2, 5*c = 4*i - 1. Let z = c + 2. Let s be 25/10*(1 - -1). Is z bigger than s? False Let o = -1.
{ "pile_set_name": "DM Mathematics" }
= 4/14305 + 389004/329015. Let n = 5989/1840 + b. Calculate the common denominator of n and -11/20. 80 Let h = 395/2298 + -2/383. What is the common denominator of h and 121/102? 102 Let v(x) = -5*x**2 + 31*x - 20. What is the smallest common multiple of (10/(-4))/(1/(-4)) and v(5)? 10 Let g(d) = -5*d + 57. Let b be g(12). What is the common denominator of (b + 104)*(-5)/70 and -7/20? 140 Suppose 2*n - 42 = 5*c, 3*n - 27 = 2*c + c. Let y(x) = 2*x**2 + 7*x - 24. What is the common denominator of -13/11 and y(c)? 11 Calculate the common denominator of 73/226 and ((-21)/(-20))/(-1*(-96)/(-280)). 1808 Let j be ((-4162)/(-5))/((-12)/(-21)). Let u = j + -1458. What is the common denominator of 29/(-1)*3/54*-3 and u? 30 Calculate the common denominator of ((-80)/(-360))/(40/(-37)) and 31/4. 180 Suppose 2*z = 4 - 2, s + 2*z = 18. What is the lowest common multiple of 90 and s? 720 Suppose 5*s - 44 - 36 = 0. Let p be (-21)/14 + (-19)/(-2). Suppose 0 = -2*z + 28 + p. What is the smallest common multiple of z and s? 144 Suppose -3*l = -l - 10. Let i(q) = 2*q**3 + 2*q**2 + q - 2. Let z be i(1). Suppose 2*n = -z*n + 40. Calculate the smallest common multiple of n and l. 40 Let l be (-8)/(-16) - (-65780)/(-6). Let k = 10988 + l. What is the common denominator of -7/2 and k? 6 Let y = -6927069589/4934 - -1403946. Let q = -17328483/54274 - y. Let u = -319 - q. What is the common denominator of -107/10 and u? 110 Find the common denominator of 12/21 + (-40212)/75222 and -41/5. 2985 Let f = 11 - 1. Let g = -9 + 11. Suppose g*q - 3*w - 6 = 36, 0 = -3*q - 4*w + 46. Calculate the smallest common multiple of f and q. 90 Suppose 0 = 5*a - 3*o - 55, a + 3*a - 22 = -2*o. Suppose 4 = 3*j - 8, 4*k + 4*j - 32 = 0. What is the least common multiple of k and a? 8 Suppose -7*u = 7 - 35. Find the common denominator of 46/5 and 2*u/(-56) + (-2151)/(-210). 10 Let j = 131 + -127. Calculate the lowest common multiple of j and 14. 28 Let k = 42 - 36. What is the smallest common multiple of k and 2? 6 Suppose -5*s = 5*t - 130, -3*s - 5*t + 81 + 1 = 0. Calculate the least common multiple of s and 180. 360 Let i(o) = -o**2 - 23*o - 124. Calculate the smallest common multiple of 48 and i(-12). 48 Let v = -1022 - -1030. What is the lowest common multiple of v and 188? 376 Let m(x) = -19*x**3 + 2*x + 1. Suppose 2*p = -3*p. Let b be (1 - 2)*(p - -1). What is the smallest common multiple of 8 and m(b)? 72 Let r(i) = -3*i - i + 1 - 5*i. Let d be r(-1). Suppose d*y - 5*y = 35. What is the least common multiple of y and 8? 56 Suppose -4*n = -2*h + 680, -120*n + 117*n = -4*h + 1350. Calculate the lowest common multiple of 6 and h. 336 Let b be (3000/(-45))/(2/(-96)). What is the lowest common multiple of 6 and b/125 + 4/10? 78 Calculate the common denominator of -119/30 and (-58)/(-20) - 9/((-189)/(-14)). 30 Let a(v) = -v**3 + 2*v**2 + 4*v + 3. Let n(k) = -k**2 - 24*k - 74. Calculate the lowest common multiple of a(-2) and n(-20). 66 Find the common denominator of -133/24 and (249/(-45))/(190/(-25)). 456 Let i(w) be the third derivative of -5*w**4/24 - 49*w**3/6 - 7*w**2. What is the lowest common multiple of i(-14) and 3? 21 Let r be 4 + (-382)/68 + 2. Let n = r + 70/17. Find the common denominator of 131/24 and n. 24 Let r be -87*(-1)/1 - 48/(-48). What is the common denominator of 9/8 and -17 + 16 - 2/r? 88 Suppose -3*n - 29 - 49 = -3*c, -4*c = -5*n - 125. Let l = n + 35. Calculate the common denominator of 2832/280 + 4/l and 19/8. 40 Calculate the lowest common multiple of 18 and (-35)/(-2)*(4 - (-24)/(-10)). 252 Let k be (-12499)/(-4) - (-9)/(-12). Let u = k - -1245. Let t = u + -69951/16. Calculate the common denominator of -23/22 and t. 176 Let w = -772 + 808. What is the lowest common multiple of 240 and w? 720 Let t be 0/(-2) + (-52048)/(-27280). Let m = t + 2/1705. What is the common denominator of 77/10 and m? 110 What is the smallest common multiple of (-6)/(3/((-570)/20)) and 10? 570 Let y(w) = -4*w**2 + 6*w - 60. Let g(d) = d**2 - d + 12. Let a(p) = 11*g(p) + 2*y(p). What is the least common multiple of 2 and a(-3)? 36 Let o(v) = v**2 - 14*v + 14. What is the least common multiple of o(14) and 84? 84 Let y = 131 - 125. Calculate the lowest common multiple of 33 and y. 66 Let t(x) = x**2 + 5*x - 3. Let o(s) = -6 + 0 + s**2 - 6*s**2 + s**3. Let d be o(5). What is the least common multiple of t(d) and 7? 21 Suppose -2*z = -4*z + 32. Suppose 0 = -n + 3*i - i + 7, 2*n - 5*i = z. Suppose 0*a + 4 = a. Calculate the lowest common multiple of a and n. 12 Suppose -2*x = -8 - 4. Suppose -7 - 29 = 3*b. Let y = -11 - b. What is the smallest common multiple of y and x? 6 Let x = 88826709951/9003165256 - -7000/1310123. Let f be (-874)/4295 + (-24)/(-120). Let c = x - f. Calculate the common denominator of c and -63/4. 8 Let w be (-2487)/36*1 + -2. Let y = -71 - w. Calculate the common denominator of (-1)/6*5 + 1 and y. 12 Let l = 2485121/2848905 - -2/60615. Find the common denominator of l and -73/3. 141 What is the smallest common multiple of (-6)/(-27)*1 + (-7760)/(-72) and 189? 756 Let z = -269/5 - -11552/215. Let r be 465/(-172)*52/6. Let q = r + z. Calculate the common denominator of q and 91/24. 24 Let l(p) = -p + 27. Let a(o) = 2*o**3 + o**2 + 2*o + 18. Calculate the least common multiple of a(0) and l(11). 144 Let k = -935/6 - -4571/30. Find the common denominator of k and (-3260)/2160 - (-1)/4. 135 Let q be (-2)/(-5) + (-54)/(-15). Let o = 22 - q. Let s(j) = j**2 - 2. Calculate the lowest common multiple of o and s(2). 18 Let l be (-12)/8*11912/60. Let a = l + 295. Calculate the common denominator of a and 77/8. 40 Let k = -518/2963 - -25103717/23704. Let w = -1057 + k. Find the common denominator of w and 129/(-84) + -2*10/16. 56 What is the least common multiple of 240 and (-438)/(-20) + 184/1840? 2640 Let w = 24 + 8. Let r = -22 - -16. Let x(t) = t**3 + 8*t**2 + 7*t - 8. What is the least common multiple of x(r) and w? 352 Let t(z) = -z**3 - 6*z**2 - z + 5. Let j be (-64)/10 - 8/(-20). Let n be t(j). Let m = n + 17. Calculate the lowest common multiple of m and 22. 308 Suppose 0 = 13*f - 10*f - 225. What is the least common multiple of 6 and f? 150 Let l(o) = 23*o**2 - 8*o - 3. What is the lowest common multiple of 314 and l(1)? 1884 Let g be 24/36*(-1 + 4). Suppose 23 = a - 5*i, -11 = -5*a + i - g*i. Calculate the least common multiple of a and 33. 33 Suppose 0*p + b = 5*p - 16209, -16225 = -5*p + 5*b. Let j = -19325/6 + p. What is the common denominator of j and (-71)/(-12) + 2/4? 12 Suppose 0 = -5*f + 131 - 111. Suppose 2*i = f*g - 22, 0 = 2*g + 6*i - i - 17. What is the smallest common multiple of 6 and g? 6 Calculate the common denominator of (-4)/(-8) - (-2430)/(-4985) and 65/12. 11964 Let t = -23 - -26. Suppose -2*l - 92 = -t*l - 5*x, -4*l + 2*x = -368. Calculate the least common multiple of 2 and l. 92 Let v = -33 + 70. Suppose -15 = o - v. What is the least common multiple of 4 and o? 44 Calculate the common denominator of 17/45 and 556/360 + -6 + (-3 - -6). 90 Suppose g = 5*g - 8208. Let a = g - 6229/3. Calculate the common denominator of a and 41/27. 27 Let s = -1334926/487107 + -4/18041. Let c = 1703/270 + s. Find the common denominator of 133/30 and c. 30 Let s(x) = x**2 + 6*x - 2. Suppose 5 = -2*l - 11. Suppose -4*h = 33 - 105. Calculate the lowest common multiple of h and s(l). 126 Suppose -3*k + 4*x - 1 = 3*x, 0 = k + x - 5. Calculate the smallest common multiple of k/(31/10 - 3) and 10. 10 Let f be (-10)/25 - (-6)/15. Suppose d - 7*p = -2*p + 32, f = -d + 2*p + 20. What is the smallest common multiple of d and 357/35 + 1/(-5)? 60 Let s(o) be the third derivative of o**5/60 + 11*o**4/24 + o**3/3 + 13*o**2. Calculate the lowest common multiple of s(-11) and 4. 4 Let a be (-2)/10 - 27/15. Let d = 1685 - 1663. What is the smallest common multiple of a + 21 + (2 - 1) and d? 220 Let w = -50/14466091 + 97987297010835/1330880372. Let g = 73624 - w. Let m = -42/23 + g. What is the common denominator of -1/10 and m? 20 Let i be 4/(-1) + ((-10255)/(-917) - 7). Let k = i - 14449/2358. Calculate the common denominator of 7/66 and k. 198 Let f be (-1)/(-2) - ((-309)/(-54) - -1). Let z = 985/18 + f. Find the common denominator of z and -67/14. 14 Let g = 3/2438 - 18947/426
{ "pile_set_name": "DM Mathematics" }
2*u**3/3 + 2*u**2 + 3*u - 9. Suppose 5*l + 5*y + 35 = 0, 6 = -y + 1. Let b be c(l). Calculate t(b). 5 Let a(x) = -7*x**2 + x - 12. Let l(u) = -13*u**2 + u - 23. Let q(m) = -m**2 - 9*m - 7. Let t be q(-3). Let j(p) = t*a(p) - 6*l(p). Let g = 7 - 12. What is j(g)? 6 Let l(k) = -14*k**2 + 3*k + 20. Let t(b) = -5*b**2 + b + 7. Let v(r) = -6*l(r) + 17*t(r). Let d(f) = 3*f + 6. Let q be d(-3). Determine v(q). -7 Let n(t) = 79*t - 16*t - 25*t - 23*t - 17*t. What is n(-2)? 4 Let o(j) = -j + 4. Suppose -c = -221 + 215. What is o(c)? -2 Let w be (36/14)/(10 + 274/(-28)). Let g(j) = 2*j - 15. Determine g(w). 9 Let z(b) be the first derivative of -3 + 5*b + 1/2*b**2. Give z(-3). 2 Suppose -5*j - 27 = 4*j. Let d(v) = v**3 + 2*v**2 - 2*v + 3. Calculate d(j). 0 Let n(g) be the first derivative of g**4/4 - 5*g**3/3 + 3*g**2 - g + 33. Let t be 8/20 - (-13)/5. Suppose 0 = 2*m - t*m + 4. What is n(m)? 7 Suppose -4*z = 5*z + 27. Let l be (3/z)/(3 + (-5)/2). Let j(p) = -7*p + 1. Give j(l). 15 Let x = -128 + 134. Let k(p) = 4*p - 4. Calculate k(x). 20 Let a(p) = 4*p - 5. Let t be 3 + 25/(200/32). What is a(t)? 23 Let y(l) = 2*l + 7. Let s = 22 - 29. Calculate y(s). -7 Let s(f) be the first derivative of 3*f**2/2 + 31*f + 929. What is s(-9)? 4 Let g(h) = h + 41. Let j(p) = p + 47. Let k(y) = 5*g(y) - 4*j(y). Determine k(-6). 11 Let x(f) = -f**2 - 10*f - 12. Let o = -625 + 619. Determine x(o). 12 Let d = 712 - 718. Let w(f) = f + 7. Determine w(d). 1 Let b(g) = g**3 + 7*g**2 + 7*g + 4. Let w(k) = -k + 9. Let l be w(7). Let v(d) = -l + 0 - 9 - d + 0*d. Let u be v(-5). What is b(u)? -2 Let l(s) be the first derivative of -s**4/4 + 8*s**3/3 - 5*s**2/2 + 9*s + 271. What is l(7)? 23 Suppose -10*l = -9*l - 2. Let i(t) be the first derivative of -2*t - l + 1/2*t**2. Determine i(5). 3 Let h(a) = -2 + a + 35*a**2 - 5 + 3 - 36*a**2. Suppose -3*w - 3*n = -27, -2*w + 2*n - 1 - 1 = 0. Determine h(w). -16 Let b(f) = f**3 + f**2 - 2*f + 1. Suppose -3*l = -11*l + 168. Let o = 22 - l. Determine b(o). 1 Suppose -23*a = -21*a - 4. Let z(m) = -6*m**2 + a*m + 9 - 4*m - 34*m**3 + 35*m**3. Give z(6). -3 Let t(n) = n**2 - 24*n + 28. Let c be t(23). Let u(f) = -f**3 + 6*f**2 - 4*f - 12. What is u(c)? -7 Suppose -n = -6*q + 2*q + 12, n = -5*q + 15. Let i(k) be the first derivative of -4 - 1/3*k**3 + 3/2*k**2 + 0*k. Calculate i(q). 0 Let a(o) be the third derivative of o**6/120 - o**5/15 - o**4/24 + 2*o**3/3 - 18*o**2 + 1. What is a(4)? 0 Suppose 2*u - 3*l = -9, 6 = -5*u + 7*l - 5*l. Let s(r) = 2*r - 13. Give s(u). -13 Let o(w) = -14 + 16*w + 6 + 19*w + 18*w - 54*w. Suppose 2 = -2*t - 14. Determine o(t). 0 Suppose -105 = 12*h - 27*h. Let y(w) = w**2 - 6*w + 2. What is y(h)? 9 Let x(m) = -m + 1. Let p be (4 - 0) + -9 - 1. Let y = p + 13. Let g be 1*(2 - y - -4). Determine x(g). 2 Let r(b) = -2*b**2 - 9*b. Let f be r(-6). Let x = f - -13. Let l be (-2)/x - (-10)/(-25). Let y(w) = -w**2 + w + 12. What is y(l)? 12 Let u(t) = 2*t - 1. Suppose -r = -7 + 5. Suppose 0 = -r*b - 4 - 0. Let p be -1 + (3 - (1 - b)). What is u(p)? -3 Let l(w) = 43*w. Let u(q) = 107*q + 1. Let m(b) = -5*l(b) + 2*u(b). What is m(-4)? 6 Let q = 495 - 491. Let s(r) = -r**2 + 5*r + 2. Determine s(q). 6 Let a(l) = -1. Let p(j) = j + 1. Let x(r) = 6*a(r) - p(r). Let u be x(-5). Let b(o) = o**3 + 2*o + 2. What is b(u)? -10 Suppose 0 = -3*j - 4*j - 35. Suppose -2*o = 3*o. Let g(y) = 2*y**2 + y**3 - 7*y + o*y**2 + 2*y**2 - y**2. Calculate g(j). -15 Let w(f) = 9*f - 9. Let s(r) = -6*r + 4. Let a(n) = -5*s(n) - 3*w(n). What is a(-3)? -2 Let n be (4/(-14))/((-4)/14) - 6. Let m(i) = 2*i**2 + 8*i + 4. Give m(n). 14 Let j(z) = -115 - 114 - 3*z + 266. Determine j(11). 4 Suppose -c = -2*j - 2*j - 42, 3*c = 6. Let a(z) = -z + 11. Let w(i) = 2*i - 12. Let o(s) = 3*a(s) + 2*w(s). What is o(j)? -1 Suppose -2*i + 3*d = -i + 8, 2*d = 5*i + 79. Let f = i - -21. Let h(a) = -3*a**2 + 5*a + 3. Let r(b) = b**2 - b. Let y(o) = h(o) + r(o). What is y(f)? -13 Suppose 4*v = g - 11, -g - 5*v - 35 = 2*g. Let o(t) = 8*t. Determine o(g). -40 Let v = 16038 - 16042. Let p(l) be the first derivative of -l**5/60 + l**4/24 - l**3/3 - 1. Let g(z) be the third derivative of p(z). What is g(v)? 9 Let m(z) = 7*z + 15 - 6*z + 16 - 32. Calculate m(0). -1 Let c(v) = v**2 - v - 2. Suppose -3*d + q - 5 = 0, 3*q - 8 - 7 = d. What is c(d)? -2 Suppose -4*r - 2 = -2*r. Let d = r + 4. Let i(s) = -d - 14*s - 3*s + 2. Determine i(-1). 16 Let x(b) = 3*b - 7. Let w be (-10)/4*(-24)/(-10). Calculate x(w). -25 Suppose -5*i + 0*i + 5*q - 25 = 0, 0 = -3*i - 4*q + 20. Suppose -2 + 20 = 2*c - 3*k, 3*c + 2*k - 14 = i. Let w(l) = 5 - l + 11 - 19 + 7. Determine w(c). -2 Suppose -a = -3*u - 43, 15 = -u - 2*u. Let c be 24/(-14) - 8/a. Let b(r) be the second derivative of r**3 - r**2/2 + 14*r. Determine b(c). -13 Let v be 50/30 + (-2)/(-6). Let x(q) = -q**2 + 12*q**v - 2 - 10*q**2. Give x(-3). 7 Suppose -2*x - 5*t + 5 = 3*x, 0 = 4*x - t - 4. Let q(o) be the third derivative of -1/20*o**6 + 0 - 1/6*o**3 + 0*o - o**2 + 1/30*o**5 + 0*o**4. Give q(x). -5 Let l(n) = 1 - 8 - 106*n**2 - 111*n**2 + 10*n + 218*n**2. Determine l(-11). 4 Let b(o) = -2*o + 1. Suppose 4*s + 2*x + 18 = 0, -x - 14 = 4*s + 5. Let y(t) = 12*t - 1. Let q(k) = s*b(k) - y(k). What is q(-6)? 8 Let w = -34 + 36. Let f(s) = 388 - 2*s - 388 + w*s**2. Calculate f(2). 4 Let x(q) = q**2 + 8*q - 23. Suppose -m - 3*k - 12 = 0, 4*m + 20 = 4*k - 12. Give x(m). -14 Let n(v) be the first derivative of v**6/120 + v**5/15 + v**4/4 + 5*v**3/6 - 7*v**2/2 + 2*v + 12. Let k(x) be the second derivative of n(x). What is k(-4)? -19 Let q(o) = 5*o**3 - 5*o**2 + 4. Let j be 8/5*(-45)/18. Let g(u) = 3*u**3 - 3*u**2 + 2. Let s(m) = j*q(m) + 7*g(m). What is s(0)? -2 Let m(y) = 15*y + 20 - 32*y + 15*y. Give m(14). -8 Let b(m) = -4*m**2 + 4*m - 6. Let q(y) = 9*y**2 - 7*y + 12. Let z(a) = -7*b(a) - 3*q(a). Let k = 36 - 32. Calculate z(k). -6 Let b(f) = f**3 + 92 - 2*f + 2*f**2 - 92. Suppose 7 = -4*l + 11. Let x be (-20)/20*(l + 2). Determine b(x). -3 Suppose 0 = -0*q - 3*q + 24. Let j(f) = f**3 - 9*f**2 + 9*f - 6. Let t be j(q). Let a(i) = 3*i - 9 + 18 - 7. Determine a(t). 8 Suppose 17 = 4*o + h, 2*o + h - 5 = 4*h. Let r(w) = w + o*w - 13*w - 2. Give r(-2). 14 Let x(a) = -a - 2. Let h be -3*((-20)/6)/2. Suppose 27 = -5*u - 3*b, h = -u + b - 2. Let l be (u/7)/(2/(-14)). What is x(l)? -8 Let h(q) = 4*q + 19. Let o be h(-3). Let d be o/(231/270) + (-8)/44. Let l(t) = t**3 - 7*t**2 - 6*t - 11. What is l(d)? 5 Let d(a) = -a. Let h(x) = 5*x - 5. Let p(u) = 3*d(u) + h(u). Suppose 5*v = v + 28. Determine p(v). 9 Let c(o) = 4 - 4*o + 0 - 3. Suppose -2*r + 22 = 2*p, 4*p + r - 30 = 8. Suppose 2*z - 2*m - m = -4, -5*m = -z - p. What is c(z)? -3 Let z(y) be the second derivative of -5/6*y**3 + 0 - 5/2*y**2 + 1/12*y**4 + 16*y. What is z(6)? 1 Let o(t) = -3*t**2 - 4*t + 5. Let f(l) = -4*l**2 - 5*l + 4. Let w(c) = -2*f(c) + 3*o(c). Give w(-7). -28 Suppose 2*v = 5*j - 20, -3*v - 25 = -5*j - 0*v. Let c(h) = -9*h**2 - 2*h - 1. Let f(d) = -d**2. Let q(o) = j*f(o) - c(o). Give q(-1). 6 Let o(s) = -s**3 + s**2 - 2*s + 8. Let q(b) = -b**2 + 14*b - 45. Let x be q(9). Calculate o(x). 8 Let l(o) be the first derivative of 2*o**3 + 3*o**2/2 - 3*o + 5. Let k(u) = -u**2 - 1. Let p(s) = -5*k(s) - l(s). Give p(-6). -10 Suppose 0*l - 8 = -4*l. Suppose 2*u - 6 + l = 0, 3*h - 37 = 4*u. Let t = h + -15. Let f(w) = -w**2 + 8. What is f(t)? 8 Let b(v) = -v**2 - v - 1. Let h(f) = f. Let r(q) = b(q) + 3*h(q). Let a(u) = 47*u - 566. Let g be a(12). Determine r(g). -9 Let z(x) = 13*x + 46. Let p be z(-4). Let m(c) be the second derivative of c**5/20 + c**4/2 - 2*c**2 + 4*c. Give m(p). -4 Let n = 184 - 127. Let h = 53 - n. Let a(q) = -5*q - 6. Calculate a(h). 14 Let x(k) = k - 2. Suppose 4*d - 29 = -p, 3*p - 13 = -5*d + 46. Calculate x(p). 11 Let f(l) = 8*l**2 + l. Suppose r = n, -n - 1 - 7 = -5*r. Let o be -3 + (1 - n/4*-2). Give f(o). 7 Let h(c) = 13*c - 3*c + 4 - 4*c - c**2 + 0 + 5. Give h(9). -18 Let o(y) = y**2 + y + 1. Let i be o(-2). Let f(b) = -3*b + 6014*b**2 + 6017*b**2 + 1 - 12029*b**2. Give f(i). 10 Let h(q) = -q**2 + 7*q + 4. Suppose 0 = 5*f - 0*f - 2*m - 86, 0 = -4*f - 4*m + 52. Suppose -5*y - f = -11. Let u = y - -8. What is h(u)? 4 Let x = -824 - -828. Let u(t) = t**3 - 4*t**2 +
{ "pile_set_name": "DM Mathematics" }
of 957927480. 2, 3, 5, 7982729 List the prime factors of 513931592. 2, 577, 111337 List the prime factors of 184064564. 2, 46016141 What are the prime factors of 637513688? 2, 7, 19, 191, 3137 List the prime factors of 88722372. 2, 3, 31, 79, 3019 What are the prime factors of 135771109? 47, 2888747 List the prime factors of 2453174840. 2, 5, 487, 125933 What are the prime factors of 37547122? 2, 18773561 List the prime factors of 17130345. 3, 5, 229, 4987 List the prime factors of 136703993. 19, 331, 21737 List the prime factors of 2277239079. 3, 4253, 178481 What are the prime factors of 188359731? 3, 7, 179, 16703 List the prime factors of 296380812. 2, 3, 7, 13, 29, 191 What are the prime factors of 3300470648? 2, 412558831 List the prime factors of 1586083939. 11, 43, 3353243 List the prime factors of 32170613. 17, 111317 What are the prime factors of 1267669? 13, 577 List the prime factors of 264901319. 7253, 36523 List the prime factors of 1371156434. 2, 37, 18529141 What are the prime factors of 127725799? 8731, 14629 List the prime factors of 123225840. 2, 3, 5, 89, 641 List the prime factors of 4975768. 2, 7, 88853 What are the prime factors of 788376738? 2, 3, 151, 870173 List the prime factors of 341106130. 2, 5, 103, 331171 List the prime factors of 4365108314. 2, 7, 23, 13556237 List the prime factors of 391525836. 2, 3, 13, 43, 58367 What are the prime factors of 198064239? 3, 31, 59, 36097 What are the prime factors of 29957164? 2, 769, 9739 What are the prime factors of 24418892? 2, 199, 30677 List the prime factors of 139427862. 2, 3, 7, 967, 3433 What are the prime factors of 6126432436? 2, 73, 593, 35381 List the prime factors of 630675321. 3, 71, 2960917 What are the prime factors of 2636816506? 2, 2909, 453217 List the prime factors of 76657823. 11, 31, 41, 5483 What are the prime factors of 1921203? 3, 213467 List the prime factors of 35658450. 2, 3, 5, 79241 What are the prime factors of 390643848? 2, 3, 7, 775087 What are the prime factors of 123164390? 2, 5, 12316439 List the prime factors of 484164170. 2, 5, 7, 1051, 6581 List the prime factors of 394504939. 7247, 54437 List the prime factors of 303297236. 2, 11, 6893119 List the prime factors of 2055571537. 1117, 1840261 List the prime factors of 585444909. 3, 7, 27878329 What are the prime factors of 1155352451? 11, 105032041 What are the prime factors of 874510590? 2, 3, 5, 29150353 What are the prime factors of 635120351? 103, 1051, 5867 List the prime factors of 2961501738. 2, 3, 13, 229, 165799 What are the prime factors of 3844726262? 2, 13, 109, 1356643 List the prime factors of 102305170. 2, 5, 11, 43, 503 List the prime factors of 262792818. 2, 3, 2819, 5179 List the prime factors of 2129740770. 2, 3, 5, 2617, 27127 What are the prime factors of 6020216? 2, 752527 List the prime factors of 125931110. 2, 5, 12593111 List the prime factors of 371154652. 2, 11, 8435333 List the prime factors of 248917838. 2, 13, 9573763 What are the prime factors of 2162316126? 2, 3, 12619, 28559 What are the prime factors of 52430855? 5, 10486171 What are the prime factors of 1796043688? 2, 23, 9761107 List the prime factors of 34785063. 3, 3865007 What are the prime factors of 300551239? 300551239 What are the prime factors of 523360259? 31, 16882589 List the prime factors of 579416797. 17, 41, 831301 List the prime factors of 34526263. 34526263 List the prime factors of 421162274. 2, 13, 53, 305633 List the prime factors of 167767067. 13, 17, 73, 10399 What are the prime factors of 352328530? 2, 5, 59, 107, 5581 What are the prime factors of 132371526? 2, 3, 7, 3151703 What are the prime factors of 105273252? 2, 3, 7, 417751 List the prime factors of 69942432. 2, 3, 7, 29, 37, 97 List the prime factors of 89030627. 7, 12718661 List the prime factors of 1974742840. 2, 5, 7, 797, 8849 What are the prime factors of 249059650? 2, 5, 7, 59, 1723 What are the prime factors of 118656102? 2, 3, 19, 61, 113, 151 List the prime factors of 29550869. 29550869 List the prime factors of 5159474. 2, 2579737 List the prime factors of 317785025. 5, 12711401 List the prime factors of 1755268880. 2, 5, 59, 257, 1447 What are the prime factors of 59349372? 2, 3, 727, 6803 What are the prime factors of 108928553? 29, 3756157 List the prime factors of 1257368656. 2, 233, 337277 List the prime factors of 167484130. 2, 5, 11, 163, 9341 List the prime factors of 24926711. 1481, 16831 What are the prime factors of 113450315? 5, 11, 307, 6719 List the prime factors of 3844800954. 2, 3, 17, 12564709 List the prime factors of 1549446982. 2, 774723491 List the prime factors of 30889887. 3, 7, 1470947 What are the prime factors of 726189712? 2, 45386857 List the prime factors of 60110949. 3, 20036983 List the prime factors of 540566255. 5, 17, 263, 24181 What are the prime factors of 15798557? 19, 831503 List the prime factors of 1581316732. 2, 239, 709, 2333 List the prime factors of 2368680117. 3, 547, 1443437 List the prime factors of 670953155. 5, 134190631 List the prime factors of 669434215. 5, 1481, 90403 What are the prime factors of 382062996? 2, 3, 7, 59, 3671 What are the prime factors of 468150777? 3, 17, 281, 10889 What are the prime factors of 3840413192? 2, 7, 11, 566767 What are the prime factors of 141151374? 2, 3, 7, 13, 17, 37, 137 List the prime factors of 846975069. 3, 23, 167, 8167 What are the prime factors of 1508552190? 2, 3, 5, 2963, 5657 List the prime factors of 386472682. 2, 193236341 List the prime factors of 160115239. 677, 236507 What are the prime factors of 55861397? 1877, 29761 What are the prime factors of 4591235679? 3, 17, 101, 891329 What are the prime factors of 553578458? 2, 276789229 List the prime factors of 1097278644. 2, 3, 7, 11, 43, 27617 What are the prime factors of 64394590? 2, 5, 13, 495343 List the prime factors of 818120495. 5, 17, 9624947 What are the prime factors of 117803776? 2, 460171 What are the prime factors of 101358309? 3, 13, 23, 112997 What are the prime factors of 507878339? 139, 241, 15161 List the prime factors of 707115935. 5, 17, 97, 139, 617 What are the prime factors of 1994022143? 727, 2742809 List the prime factors of 21938577. 3, 7312859 List the prime factors of 253377350. 2, 5, 17, 19, 29, 541 List the prime factors of 18647279. 7, 2663897 What are the prime factors of 24748269? 3, 7, 13, 269, 337 List the prime factors of 136523481. 3, 17, 41, 109, 599 What are the prime factors of 453339091? 41, 577, 19163 List the prime factors of 890282795. 5, 178056559 List the prime factors of 1184978902. 2, 592489451 List the prime factors of 5201162654. 2, 2600581327 List the prime factors of 868525660. 2, 5, 3217, 13499 What are the prime factors of 805344856? 2, 100668107 What are the prime factors of 111135157? 7, 15876451 What are the prime factors of 67081009? 1931, 34739 List the prime factors of 1161695398. 2, 29, 2633, 7607 What are the prime factors of 41048274? 2, 3, 6841379 List the prime factors of 74460585. 3, 5, 911, 5449 What are the prime factors of 252646311? 3, 31, 229, 11863 What are the prime factors of 2005652898? 2, 3, 97, 1148713 List the prime factors of 9544732789. 9544732789 What are the prime factors of 115148? 2, 11, 2617 List the prime factors of 346580508. 2, 3, 29, 229, 4349 What are the prime factors of 4564287690? 2, 3, 5, 41, 271, 13693 What are the prime factors of 199118166? 2, 3, 13, 131, 1499 List the prime factors of 690009491. 19, 47, 53, 61, 239 What are the prime factors of 175762518? 2, 3, 79, 523, 709 What are the prime factors of 4789468779? 3, 23, 827, 83933 List the prime factors of 212157981. 3, 7, 1122529 What are the prime factors of 52120969? 139, 569, 659 List the prime factors of 168276580. 2, 5, 8413829 What are the prime factors of 465327? 3, 149, 347 List the prime factors of 25048807. 7, 53, 107, 631 List the prime factors of 79642659. 3, 1277, 20789 List the prime factors of 307068935. 5, 61413787 What are the prime factors of 300494316? 2, 3, 37, 59, 11471 What are the prime factors of 352476836? 2, 41, 2149249 List the prime factors of 354117220. 2, 5, 17705861 List the prime factors of 118756082. 2, 89, 709, 941 What are the prime factors of 124379824? 2, 7773739 List the
{ "pile_set_name": "DM Mathematics" }
-3827/296) Simplify (j/(j**(2/9)*j))**(2/43)*j**(-5)*j/j**(2/5) assuming j is positive. j**(-8534/1935) Simplify (l**(-1/74)/l*l**17)**(-13) assuming l is positive. l**(-15379/74) Simplify ((t**(-2/5)*t)/t)/(t*t*t**(-16)/t)*((t**(1/7)/t)/t*t)/t**(-2/25) assuming t is positive. t**(2419/175) Simplify (j**(-2/9)*j)/((j**2/j)/j)*j**(4/5)*j**(-1) assuming j is positive. j**(26/45) Simplify (n**(-26))**(1/8)/(n/(n/(n*n*n**(-12))*n*n))**(8/15) assuming n is positive. n**(63/20) Simplify z**(-6)*z**(3/7)*(z**(-8))**(11/6) assuming z is positive. z**(-425/21) Simplify (c**(-23)*c*c**(-1/9))/(c**(-9)*(c/(c/(c**(4/13)/c)))/c) assuming c is positive. c**(-1336/117) Simplify (((r*(r**(-8/3)/r)/r)/r)/(r/((r**(-14)/r)/r*r)))/((r*(r/(r**(7/6)/r))/r)/(r**(2/39)/r)) assuming r is positive. r**(-1751/78) Simplify ((y*y**(-1/2))**(-8/5)*(y**2)**1)**20 assuming y is positive. y**24 Simplify (b/b**(1/4)*b)**(-2/119)/(b**3)**(5/8) assuming b is positive. b**(-259/136) Simplify (a*a/(a/a**(7/6)))**(4/15)*(a*a**(3/29)*a)/a**(4/27) assuming a is positive. a**(9917/3915) Simplify (a*a*a**(1/16)*(a*a*a**(-3/7))/a)/(a**6*a)**(-29) assuming a is positive. a**(23031/112) Simplify (w**(-11))**(2/85)*w*(w*w**(-9/8))/w*w/w**23 assuming w is positive. w**(-15221/680) Simplify (b**(3/4)*b*b**1)/(b*((b**(1/2)/b)/b)/b)**21 assuming b is positive. b**(137/4) Simplify (s**2*s*s**19/s)**(-41) assuming s is positive. s**(-861) Simplify ((m*((m/(m/((m**0*m)/m)))/m)/m)/m*m*m*m**(-6)*m)/(m*m*m*m**(-13/2)*m*m*m**(-1)) assuming m is positive. m**(-5/2) Simplify (x**(-8)*x/(x**(4/5)/x))/(x**(-2/11))**6 assuming x is positive. x**(-314/55) Simplify (l**(2/13)*l)/l**(3/13)*l/l**(-2/7)*l*l*l*l*(l**(-11)*l)/l assuming l is positive. l**(-436/91) Simplify ((o**(2/3)/o)/(o**(2/5)*o))/(o*o/(o*o**(1/3)/o)*o**(-4)) assuming o is positive. o**(3/5) Simplify ((((l**12/l)/l)/l)/l**17)/(l**(-1/13)/l)**(1/58) assuming l is positive. l**(-3009/377) Simplify ((z*z**(2/5)*z**(-2))**(1/56))**(1/40) assuming z is positive. z**(-3/11200) Simplify (k**(-4)/(k*(k*k**(1/2))/k*k)*(k/k**(-1/4))**(13/2))**(-3/16) assuming k is positive. k**(-39/128) Simplify (t**16)**(-43)*(t*t**(-4/3)/t)/((t*t*t**(-1/15)*t)/t*t) assuming t is positive. t**(-10384/15) Simplify (r/((r/(r*r/r**(-2/53)))/r)*r*r**(-18))/(r**1*r*r**(-28)) assuming r is positive. r**(638/53) Simplify s**(-6)/(s/((s**(-1/5)/s)/s))*(s/s**(-3/10))/(s/s**8) assuming s is positive. s**(-9/10) Simplify ((r**(3/13)/r*r*r*r**7)**22)**(1/11) assuming r is positive. r**(214/13) Simplify (v**(1/13)/v**(-1/3))**(-42) assuming v is positive. v**(-224/13) Simplify (((n*n*n**0)/n)**(-1/22)/(n**(-1))**1)**50 assuming n is positive. n**(525/11) Simplify ((s**9*s*s**(-2/3))/(s/(s**(2/17)*s)*(s*s*s/s**3*s*s)/s*s))**11 assuming s is positive. s**(4180/51) Simplify (w**(-3/4)/((w*w**(2/23))/w))/(((w*w/(w/((w/((w/(w*w**(-2/13)/w*w))/w)*w)/w)))/w)/w**(-2/3)) assuming w is positive. w**(-12019/3588) Simplify ((m*m*m**(-2/49)*m)/(m/m**(-9)))**13 assuming m is positive. m**(-4485/49) Simplify (q*q**6)/q**(4/5)*q**18/(q*q**23) assuming q is positive. q**(1/5) Simplify h**(-2/17)/(h*h**(2/17))*(h**(-6)/h*h)**(-15) assuming h is positive. h**(1509/17) Simplify ((h**0)**(7/4)*(h/(h*h**(-2/7)))/(h*h**(1/3)/h*h))**(-3/19) assuming h is positive. h**(22/133) Simplify s**6*s*s*s/(s**(-12)/s)*s/s**1*s/s**8 assuming s is positive. s**15 Simplify (((s/s**(-46))/s)/s**(-2/79))**17 assuming s is positive. s**(61812/79) Simplify ((t*t/(t/t**(-2/3)*t))/t**(-1/4)*(t**(2/5))**(-3/19))**38 assuming t is positive. t**(-547/30) Simplify (x/(x/x**(-2/23)))**(-37)*(x**(-4/9))**(-33) assuming x is positive. x**(1234/69) Simplify ((u**(-18)/u)/(u/((u**(-1/8)/u)/u)))**(18/5) assuming u is positive. u**(-1593/20) Simplify (((a*a*a*a**(-3/2))/(a**(-2/7)/a))/(a**(3/4)/a**5))**(9/5) assuming a is positive. a**(1773/140) Simplify (g**(3/17)*g)**(-37/4)*g**(-3/8)/(g*g*g/(g/g**(-16))) assuming g is positive. g**(373/136) Simplify x**(-9)*x/x**(-5)*x**(11/5)*x*((x/(x**14*x)*x)/x*x)/x assuming x is positive. x**(-69/5) Simplify (((r*r**(-2/21))/r)/(r*r**7))/(r**17/r*r/r**(8/9)) assuming r is positive. r**(-1525/63) Simplify (a*a/(a/(a/(a*(a**(11/4)/a)/a*a))*a)*a/(a/((a**(-5)*a*a)/a)))**(-29) assuming a is positive. a**(667/4) Simplify (d**(-1/17)/(d**(-2/5)/d))**9 assuming d is positive. d**(1026/85) Simplify s**(-1/6)/(s/s**(1/3))*(s*s*s/((s*s**(-10))/s*s)*s*s*s)/(s*s/(s**(-11)*s)) assuming s is positive. s**(13/6) Simplify y/((y*y**14)/y)*y/y**13*y**(-15)*y/y**11 assuming y is positive. y**(-50) Simplify ((y**9*y**(2/5))/((y/(y/(y/y**(-2/9))))/y**(-2)))**(-4/21) assuming y is positive. y**(-1112/945) Simplify ((t*t**18*((t*t**(-3)/t*t)/t)/t*t)**(-4/3))**(-44) assuming t is positive. t**(2816/3) Simplify (u/(u*u**(-8))*u*u*u*u*u**(3/2)*u*u*u*(((u*u*u**(-2/23))/u)/u)/(u**3*u))**48 assuming u is positive. u**(13704/23) Simplify w/(w/(w**(-10)/w)*w*w)*w**(-12)*(w**(-2/11))**(4/33) assuming w is positive. w**(-9083/363) Simplify z**(-1/7)/(z**4/z)*(z**(-2)/z)**(-36) assuming z is positive. z**(734/7) Simplify b*(b/(b**13*b)*b)/b*b**(-4/5)*(b/(b/((b*b**(-1/4)*b*b)/b)))**38 assuming b is positive. b**(537/10) Simplify (m*m**(3/13))/m**(-1/9)*m*m**2*m*m**(1/15)*m assuming m is positive. m**(3749/585) Simplify ((y*y**(-1)*y/(y*y**(-11)))**(-34))**(-46) assuming y is positive. y**17204 Simplify (h**(2/15)/h)**(-33)/(h**(3/2)/h**(1/4)) assuming h is positive. h**(547/20) Simplify x**(1/14)*x/(((x*x*x**(-17)*x)/x)/x*x)*x**(-6)/(x/x**11) assuming x is positive. x**(281/14) Simplify p**22*p*p**(3/2)*p**(-10/7)/((p/p**13)/p) assuming p is positive. p**(505/14) Simplify (z**(2/3)/(z/(z/((z*(z/((z**(-2/25)/z)/z))/z*z*z*z)/z*z)))*(z**(2/7))**(1/12))**37 assuming z is positive. z**(-209383/1050) Simplify ((h/(h/(h/h**(2/45))))/(h**(2/11)/h))**28 assuming h is positive. h**(24584/495) Simplify ((y**18/y)/y*y**(-3/5)/y*y*y)/(y**(1/8)/y*y**(-17/4)) assuming y is positive. y**(861/40) Simplify ((w*w**(-13))/(w/((w/((w*(w*w*w**(6/13)*w*w*w)/w)/w))/w*w)))/(w**(1/6)/w*w**(-2/9)/w) assuming w is positive. w**(-3371/234) Simplify (((u/(u/(u/(u*u**(1/3)))*u))/(u/(u/((((u/(u**(-2/11)/u))/u)/u)/u))))**(-4/9))**7 assuming u is positive. u**(476/297) Simplify (k**(-9)*k/(k*k*k*(k**7/k)/k*k))/((k*k**(5/4)*k*k)/(k/(k*k/((k/(k/k**(-4/9)*k*k*k))/k)))) assuming k is positive. k**(-961/36) Simplify j**(2/13)/(j/(j**9/j))*j**(-6/7)*j/j**(-1/4) assuming j is positive. j**(2747/364) Simplify (g**(-1/8)*g*g**(-6/11)/g*g)/((g*g**4)/g**(1/3)) assuming g is positive. g**(-1145/264) Simplify ((((((z/(z/((z*z/z**2*z)/z)))/z)/z*z)/z)/z)/z*z**7*z**(-8)*(z/((z*((z/z**(4/9)*z)/z)/z)/z)*z)/z)**(-24) assuming z is positive. z**(256/3) Simplify (r**(-1/3)/(r**17*r))/(r/(r*r*r*r/r**(-5)*r))**(12/13) assuming r is positive. r**(-391/39) Simplify (q/q**(-2/13)*q)**(-4/19)*(q**(-4)*q)**(2/23) assuming q is positive. q**(-4058/5681) Simplify (((o**4)**(-4/33))**(-36))**26 assuming o is positive. o**(4992/11) Simplify (d*(d/(d/d**(2/9)*d))/d*d)**(-20)*(d*d/(d/d**13*d)*d*d)/d**(-13) assuming d is positive. d**(212/9) Simplify h**(-6/7)/h**(-16)*(h/(h/h**(-9)))/((h**(12/5)/h)/h) assuming h is positive. h**(201/35) Simplify (k**(-3))**16/((k*k**(2/11)*k)/k*k/k**(8/9)) assuming k is positive. k**(-4880/99) Simplify d/(d**(-1/2)*d)*d*d/d**(-1/12)*(d**3)**(2/19) assuming d is positive. d**(661/228) Simplify t**14/t*t**(2/33)*(t/t**(1/3))/t*t*t**(-16)*t assuming t is positive. t**(-14/11) Simplify ((t**7*((t*(t/t**1)/t)/t)/t)**(9/2))**(-15) assuming t is positive. t**(-675/2) Simplify (u**(-18)*u**14*u)**(-29) assuming u is positive. u**87 Simplify (((u/u**(-2/9))**(-2/33))**35)**22 assuming u is positive. u**(-1540/27) Simplify (d**(-9)/d**5)/(d**3)**(-7) assuming d is positive. d**7 Simplify (g**(-21))**48/(g**(2/9)/((g/g**(-3/4)*g)/g)) assuming g is positive. g**(-36233/36) Simplify (d**(-3)*d)**38*(d*d/d**(-14)*d)/d*d*d*d**(-13) assuming d is positive. d**(-71) Simplify l/(l*l**21*l*l)*l/l**(-8/11)*(l*l**17/l)/(l*l*l/((l/(l*l**11*l))/l)) assuming l is positive. l**(-223/11) Simplify (w/w**(-2/7))**18/(w**(2/13))**(21/5) assuming w is positive. w**(10236/455) Simplify (u*u**(6/7))**(4/19)*(u**(-2))**(3/20) assuming u is positive. u**(121/1330) Simplify (g**(1/25))**(1/6
{ "pile_set_name": "DM Mathematics" }
(sqrt(140)*-2)/sqrt(5))/(sqrt(1960)/sqrt(10)). -282*sqrt(7)/7 - 40 Simplify 4*(1*(sqrt(80) + 2 + -1 - sqrt(80)) - ((-3 + sqrt(180) + sqrt(180) - sqrt(180))**2 - -3*sqrt(40)/sqrt(8))) + -1. -753 + 132*sqrt(5) Simplify (-3*(sqrt(405) + -1 + 0 + sqrt(405)) - (5 + sqrt(605) + 0 + 4))**2*-3. -63483 - 2340*sqrt(5) Simplify 4*(4 + ((sqrt(75) + -3)*-2 - (4*sqrt(75) + 0)) + -5 + 1)**2. -1440*sqrt(3) + 10944 Simplify (0 + sqrt(7)*1 + sqrt(7) + 0 - sqrt(56)/(sqrt(160)/sqrt(5)))**2 - ((sqrt(168)/sqrt(3)*-1)/(sqrt(8) - (-1*sqrt(128) - sqrt(128))) + 5). sqrt(7)/9 + 43/4 Simplify -2 + -3 + (sqrt(891) + 0 + 5 - (sqrt(891) - (sqrt(891) + (sqrt(891) + -1)*-4 + sqrt(891))) - (1 + sqrt(891)*-3 - (-2*sqrt(891) + 1)))**2. -162*sqrt(11) + 967 Simplify -5 + (-4*-6*(sqrt(304) + -3 + -4)*6)**2 + 5 + 0. -1161216*sqrt(19) + 7319808 Simplify (1*sqrt(325)*-5 + (sqrt(325)*-2 + -1)**2 + (-4 + sqrt(130)/(sqrt(10) - sqrt(160)))**2 + 1)*-3. -11875/3 + 7*sqrt(13) Simplify -4 + (1 + -1 + sqrt(19) - (sqrt(19) + (sqrt(1216) - -2*sqrt(1216))))**2 + 2 + -4 + -1. 10937 Simplify (-1*(2 + 3*-1*4*((-4*(sqrt(242) + 1 + sqrt(242) + sqrt(242) - sqrt(242)) - sqrt(242)) + (1*sqrt(242) - sqrt(242)) + 0)))**2. 118800*sqrt(2) + 2825188 Simplify (4*sqrt(15)/sqrt(3) - sqrt(5))*-5 + 5 - (0 + ((5*sqrt(80)/sqrt(2))/sqrt(8))**2). -120 - 15*sqrt(5) Simplify (sqrt(1700) - 4*(sqrt(1700) + 2) - (4 + sqrt(1700))*-1)**2 + 5*5*(sqrt(1700) + sqrt(1700)*-2*2)**2. 160*sqrt(17) + 389316 Simplify 2 + -1 + ((1 + sqrt(891))*5 - sqrt(891)) + ((1*sqrt(55))/sqrt(5)*-1 + sqrt(99)/(-1*sqrt(36)/sqrt(4)))**2. 50 + 36*sqrt(11) Simplify (sqrt(60) - 1*sqrt(60))/sqrt(12) + 0 + -2 - (0 + (sqrt(15) - sqrt(45)/sqrt(3))/sqrt(3)*-5). -2 Simplify (4*(-2*(sqrt(340) - (sqrt(340) + 2*sqrt(340) + sqrt(340))))/sqrt(10))/(-3*sqrt(288) + sqrt(288) - 1*-2*sqrt(2)). -12*sqrt(17)/11 Simplify 3 + 2*(sqrt(19) + sqrt(76) + -5 - (sqrt(19) + -1 + sqrt(19) + 1) - (sqrt(475) + (2 + sqrt(475))*-6))**2. 728*sqrt(19) + 25789 Simplify (-5*(-2*sqrt(130) + sqrt(130))*6*-2)/((1*sqrt(80)*-2)/(sqrt(800)*2 - sqrt(800))). 300*sqrt(13) Simplify -4 + 4 + (sqrt(147) + 1*sqrt(147))**2*1 + (sqrt(12) - ((sqrt(12) + 0)*-4)**2) + 2. 2*sqrt(3) + 398 Simplify (sqrt(108) + 0)*6 + 5 + 3 - -4*(5*(-2 + sqrt(108))*-4)**2. -38364*sqrt(3) + 179208 Simplify (4*2*(-3 + (-6*-1*(1 + sqrt(272)) - (-5 + -2*sqrt(272) + -5))))**2. 53248*sqrt(17) + 1124928 Simplify (sqrt(288) + (sqrt(288) + -1)*6 + sqrt(288) + sqrt(288) + -1 + sqrt(288) + sqrt(288) + 1)*1 + 2 + (2*(sqrt(288) + 3*-1*sqrt(288)))**2. 132*sqrt(2) + 4604 Simplify ((sqrt(605)*2 + -5 - (-2 + sqrt(605) + 0)) + 4 + 0 + sqrt(605) + 0)**2 + -2. 44*sqrt(5) + 2419 Simplify 2*(0 + sqrt(2) + 5 + -5 + sqrt(14)/(sqrt(63) + sqrt(252))) + 3. 3 + 20*sqrt(2)/9 Simplify (3*(sqrt(192)*-1 + (2*sqrt(132))/sqrt(11) - (1*sqrt(432) - sqrt(300)*-5)))**2. 117612 Simplify 6*(-1*-4*2*sqrt(78)*-6)/((sqrt(12) + -5*1*sqrt(12))/((2*sqrt(20))/sqrt(10))). 144*sqrt(13) Simplify ((sqrt(150) - sqrt(150)*2)/sqrt(10)*4)/(sqrt(108) + (sqrt(108) + -2*sqrt(108) + sqrt(108))*-2 + sqrt(108))*1*5. -5*sqrt(5)/3 Simplify ((sqrt(66) + (sqrt(66) - sqrt(66)*4))*-3 + sqrt(66) - -2*sqrt(66)*-6)/((-1*(sqrt(1200) - sqrt(48)))/(sqrt(64)/(sqrt(8) + sqrt(32)))). 5*sqrt(11)/12 Simplify sqrt(51)/sqrt(3)*-6 + (3*sqrt(102))/sqrt(6) + -1 - (-1*sqrt(2057)*3 - (sqrt(2057) + 2 + -3))**2. -32914 + 85*sqrt(17) Simplify (1*-5*sqrt(39)*-1*-4)/((sqrt(750) + sqrt(750) + sqrt(750)*1 + sqrt(30))/(3*(sqrt(10) - sqrt(10)*-1))) + 3. -15*sqrt(13)/2 + 3 Simplify (6*((0 + sqrt(128) + -3 - sqrt(128) - sqrt(128)) + 4 + -1 + sqrt(128) + 3)*-3)**2*2. 5832 Simplify -3*(-2*sqrt(243)*-1 - 6*(sqrt(243) - -2*sqrt(243)))**2 - (0 + -1*sqrt(243)*2*5)**2. -210924 Simplify ((4 + -1*sqrt(208)*1 - 4*(-4 + sqrt(208) + 5 - sqrt(208)))*-5)**2. 5200 Simplify (-4*(1 + sqrt(33)/sqrt(3)*1)*-4 - (5*sqrt(121)/(sqrt(33)/sqrt(3)) - (sqrt(275) + 0 + 4)))**2. 640*sqrt(11) + 3216 Simplify (5 + -6*((-1 + -1 + sqrt(171)*3)**2 + 5))*6. -55698 + 1296*sqrt(19) Simplify -6*(sqrt(133)/(sqrt(756)/sqrt(12) + sqrt(63)) - (((sqrt(228) - (sqrt(228) - 6*sqrt(228)))*-4)/sqrt(12))**2). -sqrt(19) + 65664 Simplify ((0 + sqrt(200) + sqrt(200))**2 + (sqrt(2) - (-1 + sqrt(12)/sqrt(6)))**2 - (5 + (-3 + sqrt(98)*2 + sqrt(98))**2))*-3. -378*sqrt(2) + 285 Simplify (sqrt(294)/(-1*sqrt(7)) - (sqrt(42) - sqrt(168)/sqrt(196)))/(((sqrt(6048) - -1*sqrt(6048)) + sqrt(42))/(sqrt(7) + ((sqrt(14)*-1)/sqrt(2) - sqrt(7)))). 13*sqrt(7)/175 Simplify ((3*sqrt(190)*6 + -3*sqrt(190)*-2)*3)/((sqrt(1280)*2)/(sqrt(8)*-2)). -18*sqrt(19) Simplify ((-5 + ((-2 + sqrt(2448) - sqrt(2448))*3 + -1 - (1*sqrt(2448)*3 + sqrt(2448) - ((1*sqrt(2448)*-2 - sqrt(2448)) + sqrt(2448) - sqrt(2448)))))*6)**2. 72576*sqrt(17) + 4323456 Simplify -4*(-1 + (sqrt(108)*-2*5 + sqrt(108) + sqrt(108)*1 + -2)**2 + (sqrt(108) - sqrt(108)*-1*-6 - (sqrt(108) - (5 + sqrt(108)*2)))). -27680 - 672*sqrt(3) Simplify ((-4*(sqrt(152) + (sqrt(152) - -2*sqrt(152))))/((2*sqrt(88))/sqrt(11)))**2 - (3*(-2 + sqrt(931)) + -5*(-1 + sqrt(931)))**2. -2509 - 28*sqrt(19) Simplify -4 + (sqrt(11) + 2 + sqrt(176))*-5*-4 + ((1 + sqrt(704))**2 + 2 - -2*(sqrt(704) - sqrt(704)*-1)) + 1. 148*sqrt(11) + 744 Simplify (-2*-3*sqrt(110)/sqrt(10)*1)**2 - (sqrt(880)/sqrt(5) + sqrt(33)/(sqrt(3)*1)). -5*sqrt(11) + 396 Simplify ((1*sqrt(171)*-4)/((sqrt(132)/sqrt(4))/sqrt(11)))/(sqrt(3) + (sqrt(3) - -3*sqrt(6)/sqrt(2)) + 1*sqrt(3)*1). -2*sqrt(19)/3 Simplify (2*-2*sqrt(77))/(1*sqrt(343) + sqrt(343)) - (sqrt(110) - (sqrt(110) - (-3*(sqrt(110) - -2*sqrt(110)) + sqrt(110))))/(sqrt(1440)*3). -4*sqrt(11)/63 Simplify (6*(-2*(-4 + sqrt(108) + 0 + sqrt(108) + sqrt(108) + 5)*1 + 2) + -1)**2 + 4. 432*sqrt(3) + 139973 Simplify (sqrt(605))**2*1 - sqrt(60)/(sqrt(24)/sqrt(2)) - ((-3*(sqrt(5) - (sqrt(25)/sqrt(5) + sqrt(5))))**2*-3 + 2). -sqrt(5) + 738 Simplify (5*-5*(-3*(sqrt(1008) + 2)*-5 - ((sqrt(1008) + 0)*2 + (sqrt(1008) + -1)*-1)))**2. 6090000*sqrt(7) + 124005625 Simplify 2*3*(1 + (sqrt(3) + 1)*-4 + sqrt(324)/(sqrt(24)/sqrt(2)) + 2). -6*sqrt(3) - 6 Simplify 2 + (2 + (sqrt(720) - (0 + sqrt(720))))**2 + -6*(sqrt(320) + (-1 + sqrt(320))**2) + sqrt(320) + (sqrt(320) + 0)*-6. -1920 + 8*sqrt(5) Simplify 2 + (-3*2*2*sqrt(156))/(sqrt(192)*2*4)*6. -9*sqrt(13)/4 + 2 Simplify 2*((-1*sqrt(243) + sqrt(3) - sqrt(3))**2*-4 + -4 + sqrt(108) + 0 + -5)*1. -1962 + 12*sqrt(3) Simplify ((3*sqrt(1216)*1 + -1 + 1 + 2 + 3*sqrt(1216) + -4)*-5)**2. -4800*sqrt(19) + 1094500 Simplify (((sqrt(204) - -4*sqrt(204) - sqrt(204))*2 - (-3*sqrt(204)*-5 - sqrt(204)))/((sqrt(72) + sqrt(72)*-3)/sqrt(6) + sqrt(36)/sqrt(300)))**2. 61200/361 Simplify (4*sqrt(91)*-6 - sqrt(91) - (sqrt(91) + (-2*sqrt(91)*3 - sqrt(91))))/((sqrt(875)*1)/(4*sqrt(20)/sqrt(4))). -76*sqrt(13)/5 Simplify 6*1*-4*(sqrt(117) + (sqrt(117) + sqrt(117) + (sqrt(117) - (sqrt(117) + 0)**2))*5 + (sqrt(117) - (-1 + (sqrt(117) + 0 + sqrt(117))**2))) + 0. -1224*sqrt(13) + 25248 Simplify -2 + -2*(4*(((sqrt(6)/sqrt(2) - sqrt(3)) + sqrt(3))**2 + 1 + -3 + sqrt(27) + -3) + -1). -24*sqrt(3) + 16 Simplify 1 + 5*sqrt(60)/sqrt(3)*-1 - ((2*2*sqrt(80) - sqrt(80)) + (sqrt(5) + 0)*-4*1). -18*sqrt(5) + 1 Simplify -3*-5*(1 + (sqrt(2736) - (2 + sqrt(2736))*5) + 5 + sqrt(2736) + -1 + -5)**2. 10800*sqrt(19) + 370860 Simplify 6*((-6*(-1 + 3*(sqrt(117) + sqrt(117) + -2)*-1))**2 + -2). -38880*sqrt(13) + 915180 Simplify -3*(sqrt(245)/(sqrt(448)*2))/((sqrt(28) + sqrt(28) + sqrt(28)*1)*-6). sqrt(5)/192 Simplify ((-3*sqrt(495)*1)/sqrt(9)*-4)/(1*(sqrt(5) + sqrt(125) + sqrt(5)) + (-4*sqrt(80) - sqrt(80))). -12*sqrt(11)/13 Simplify (-1*((sqrt(66)/sqrt(2))/sqrt(3) + sqrt(11) + -5))**2 - ((-6*2*sqrt(77))/(sqrt(77)/sqrt(99)))**2. -14187 - 20*sqrt(11) Simplify (6*(sqrt(1274) - -1*(-2*sqrt(1274) - sqrt(1274))))/((sqrt(24) + (sqrt(120) - 1*sqrt(120))/sqrt(5))/(sqrt(48)/sqrt(64) - sqrt(12))). 63*sqrt(13) Simplify -2 + (sqrt(70)/sqrt(63)*4)/(sqrt(140)/sqrt(7) + (sqrt(320) + -1*sqrt(320) - sqrt(320))). -2 - 2*sqrt(2)/9 Simplify (1*(sqrt(11) + sqrt(176)))**2 - sqrt(132)/(sqrt(12) + -3*sqrt(12)) - (3 + (sqrt(121)*4)/sqrt(11)*4). -31*sqrt(11)/2 + 272 Simplify (-5*5*(-3 + sqrt(684) + sqrt(19) + sqrt(19)*5 + 0 + sqrt(19) + -1))**2. -65000*sqrt(19) + 2016875 Simplify (4*(-5 + sqrt(288) + -1 + -1 + (sqrt(288) + sqrt(288) + -3 + sqrt(288) + sqrt(288) - sqrt(288)))*-4)**2
{ "pile_set_name": "DM Mathematics" }
5 - 13. Let x be (-3)/(-3*(j + -1)). Calculate the greatest common factor of 10 and x. 1 Let g(j) be the first derivative of -j**4/2 - j**3/3 - 3*j**2/2 + 2*j - 1. Let a be g(-4). Let c = 10 - -8. Calculate the highest common factor of c and a. 18 Suppose -64*z = -69*z + 20. What is the highest common factor of z and 4? 4 Suppose 3*d = -0*d. Suppose d = -6*g + g + 140. Calculate the highest common factor of g and 4. 4 Let c(i) = -i**3 + 14*i**2 + 16*i - 8. Let s be c(15). Calculate the highest common factor of s and 1. 1 Let o(t) = t - 4. Let c be o(11). Suppose c*l = 2*l + 50. Calculate the greatest common divisor of 90 and l. 10 Let o be 19*8*2/4. Let k be o/2 - (-2 + 5). Suppose 0 = -r + 3*j + 17, -r - j + 2 = 1. What is the greatest common factor of k and r? 5 Suppose -3*g = -138 - 42. What is the greatest common factor of g and 20? 20 Suppose 4*j + 5*q = 1059, j - 4*q - 134 = 115. Calculate the greatest common divisor of 29 and j. 29 Let o(w) = 47*w + 1. Let t be o(2). Suppose 4*k + 456 = 16*k. Calculate the greatest common factor of k and t. 19 Let c(z) = z**3 + 11*z**2 - 6*z - 7. Let n = 0 + -7. Let t be c(n). Suppose -3*q = -0*q - t. What is the highest common factor of q and 7? 7 Let g be 4/(-18) + 230/(-18). Let j = 4 + 18. Let h = j + g. Calculate the greatest common factor of 6 and h. 3 Let w be 46/14 + 6/(-21). Suppose -3*v - 4*r + 13 = 0, 5*v - w*r + 8*r = 25. Let u = 194 + -138. What is the highest common divisor of u and v? 7 Suppose 0 = -n - 0 + 1. Let z be (-8)/(-10)*(-35)/(-14). What is the highest common factor of n and z? 1 Let k(t) be the first derivative of 5*t**2 - 6*t + 4. Let n be k(4). What is the highest common factor of n and 85? 17 Suppose -k - 12 + 52 = 5*y, -3*k - 4*y + 131 = 0. Suppose -3*i - 9 = -4*i. What is the highest common divisor of i and k? 9 Suppose 2*l - 5*x = -6, 3 - 4 = l - 2*x. Suppose 3*d - l = 2*d. Suppose 2*t - d*t + 95 = 0. Calculate the greatest common divisor of 133 and t. 19 Suppose -4*s - t + 24 = 0, s + 11 = 6*t - 2*t. What is the highest common factor of s and 55? 5 Suppose -1 = -2*j + 25. Let k = 23 - j. What is the highest common factor of 40 and k? 10 Suppose 3*t = t + 170. Calculate the greatest common divisor of 17 and t. 17 Let o = 72 + 5. Let z(a) = 2*a**2 - 1. Let g be z(-2). Let v be 1*(g + 2 + -2). Calculate the highest common factor of v and o. 7 Suppose -3*a + 2*i = i - 16, -a + 20 = -4*i. Suppose a*j = 12 + 4. Let t be 426/27 + j/18. Calculate the greatest common factor of 24 and t. 8 Let v be (-9)/(-4)*4/1. Let n = 15 - -21. What is the greatest common factor of n and v? 9 Let a be (0 + (3 - 1))/2 - -17. Calculate the highest common divisor of 63 and a. 9 Let f(u) = u**2 + 8*u + 4. Let k be f(-7). Let b be (81/k)/(-3) - -1. Calculate the greatest common factor of 50 and b. 10 Let r = 18 + -16. What is the greatest common factor of r and 8? 2 Suppose -2*q = 5*w + 5, -2*q + 2*w + 40 = q. Calculate the highest common divisor of q and 40. 10 Let a be (-35)/(-10) + -3 + 65/2. Calculate the highest common factor of 11 and a. 11 Suppose 5*r = r - 32. Let a be ((-10)/4)/(4/r). Suppose 2*z - f = z + 11, -a*f = -3*z + 43. What is the greatest common factor of z and 6? 6 Suppose l - 2 = 77. Let a = l - 16. What is the greatest common factor of 7 and a? 7 Suppose 1 = 3*i - 11. Calculate the highest common factor of 24 and i. 4 Let r be ((-84)/10)/(1/(-15)). Suppose x = -2*k + 10, -x - 7*k = -3*k - 2. Calculate the highest common factor of x and r. 18 Let y(a) = -a + 2. Let f be y(3). Let o be ((-2)/1)/(f/(-2)). Let d be o/(-6)*(-1 - -4). Calculate the highest common factor of 16 and d. 2 Suppose -274 = -5*h - u, -3*h + u + 92 = -66. Let d(s) = 4*s**3 + 2*s**2 - 3*s + 2. Let r be d(2). What is the greatest common divisor of h and r? 18 Let o be 4/(-18) - (-87)/27. Let w = o - 3. Suppose w = -q - 3*q + 12. What is the greatest common factor of 1 and q? 1 Suppose 0 = 4*w + 5*h - 570, w + w - 3*h - 274 = 0. Suppose -n - 5*d + 35 = 0, 2*n + 2*d = -9 + 79. What is the highest common divisor of w and n? 35 Suppose 26 + 19 = -5*c. Let y = -3 - c. Let s be (13/(-5) - 1)*-5. What is the highest common factor of s and y? 6 Suppose -3*y + 3*r + 12 = -0*y, -3*r = -2*y + 12. Suppose 0 = -4*k + 2*j - j + 58, -2*k + 3*j + 34 = y. Calculate the highest common divisor of k and 42. 14 Suppose 0 = -5*b + 39 + 191. What is the highest common factor of b and 23? 23 Let b be 8/(-28) - (-550)/14 - 3. What is the highest common divisor of b and 9? 9 Let c = 68 + -48. Let q be 172/c - 2/(-5). Let g(i) = -4*i - 6. Let n be g(-6). Calculate the greatest common factor of n and q. 9 Suppose 6*m = 4*m + 26. Calculate the greatest common factor of m and 26. 13 Suppose 0 = 5*b - 2*a - 666, -279 = -2*b + 5*a - 0*a. Suppose 2*c - b = -c. Calculate the greatest common factor of 4 and c. 4 Suppose -i - 4 + 2 = 0. Let g be (8/10)/(i/(-5)). Suppose -232 = -g*l + v, 2*l - 5*v = -l + 341. Calculate the greatest common factor of l and 13. 13 Let m(z) = z**2 + 5*z + 5. Let x be m(-6). Suppose 23 + 43 = 3*j. What is the greatest common factor of x and j? 11 Suppose 17*s + 16 = 21*s. Calculate the greatest common divisor of 24 and s. 4 Suppose -5*j + y + 94 = -280, 2*j - 155 = -5*y. Let i = j - 42. Let u = 6 - 3. Calculate the greatest common divisor of i and u. 3 Let x be 46/9 - (-5)/(-45). What is the highest common divisor of 45 and x? 5 Let s(z) = z**3 - 4*z**2 + 4*z - 1. Let g(t) = t**2 - 3*t - 7. Let l be g(5). Let d be s(l). What is the highest common divisor of 14 and d? 2 Let y be 2/5 + (-373)/(-5). Let i(g) = g**2 - 5*g - 9. Let j be i(8). What is the highest common factor of j and y? 15 Suppose 5*c - m - 7 = -2*m, 2 = 4*c - m. What is the greatest common divisor of c and 1? 1 Suppose 5*r - 8 = 2*x, 4*r = 2*x + 2*x + 28. Suppose 4*z = j - 39, 5*z + 3*j = 5*j - 51. Let o be (-12)/x*z/(-6). What is the highest common factor of 4 and o? 2 Let f be ((-3)/9 - (-13)/3) + 3. What is the highest common factor of f and 49? 7 Let z be 1122/6*(1 - 0). Suppose z = -6*m + 7*m. Calculate the highest common divisor of 17 and m. 17 Suppose 3*t = 4*t - 3. Calculate the highest common divisor of 3 and t. 3 Let c(t) = -t**3 + 9*t**2 + 6*t + 18. Let g be c(9). What is the greatest common divisor of g and 8? 8 Let s be 2/(-4) + (-10)/(-4). Let u = 26 - s. Let d = 159 + -87. Calculate the highest common divisor of d and u. 24 Let j = 5 - -4. Let q = -8 - -11. What is the greatest common divisor of j and q? 3 Let t(m) = -4*m - 9. Let l be t(-5). What is the greatest common factor of 44 and l? 11 Let u = -31 - -59. Suppose -6*k + 3*q = -k - 14, -k - 4*q + 12 = 0. Suppose -70 = k*d - 9*d. Calculate the highest common factor of d and u. 14 Let d = -85 + 92. Calculate the greatest common divisor of d and 35. 7 Let m = -5 + 15. Let w = 44 + 6. Calculate the highest common factor of m and w. 10 Let l = 14 - 9. Suppose -l*g + 15 = 2*x, -2*x + 5*x = 3*g - 30. What is the highest common factor of 5 and g? 5 Suppose -14*h = -19*h + 510. What is the greatest common factor of 34 and h? 34 Let u(s) = s**2 - 8*s - 9. Let f be u(10). Let n be 4/8*-22*-3. What is the highest common factor of n and f? 11 Let v = 32 - 18. Let h = v + -8. Let j = 20 - h. Calculate the greatest common factor of 2 and j. 2 Let a = 4 - -32. What is the greatest common factor of a and 324? 36 Let m(c) = -c**2 - 3*c + 4. Let g be m(-3). Let k be 34/g + 1/(-2). Let v(t) = t**2 - 6*t + 6. Let w be v(5). Calculate the highest common divisor of k and w. 1 Let j be 710/10 + 0 + 1. Suppose -2*y - y = -j. Calculate the highest common divisor of y and 6. 6 Let n(m) = -m**3 + 15*m**2 + 4*m - 4. Let s be n(15). Calculate the greatest common divisor of s and 14. 14 Let x(l) = -8*l + 6. Let o(m) = -1 + 2 + 1 - 7 + 9*m. Let h(r) = 7*o(r) + 6*x(r). Let c be h(1). Calculate the highest common divisor of c and 2. 2 Suppose 0 = 8*o - 604 - 260. Suppose 0*k - 12 = -3*k. Suppose -2*z + 24 = 2*r, k*r - 2*z - 24 = 2*r. Calculate the highest common factor of o and r. 12 Let w = 0 + 4. Suppose 7*q = -4*n + 4*q + 114, -2*n + w*q = -46. What is the highest common factor of 9 and n? 9 Let z(l) = -34*l + 2. Let o be z(-1). Calculate the highest common divisor of o and 54. 18 Let u be (2 + 0)*(-18)/(-4). L
{ "pile_set_name": "DM Mathematics" }
of 6279090. 2, 3, 5, 311, 673 List the prime factors of 30537907. 41, 107, 6961 List the prime factors of 511117. 59, 8663 What are the prime factors of 44863? 7, 13, 17, 29 List the prime factors of 1040417. 7, 17, 1249 List the prime factors of 118022. 2, 59011 List the prime factors of 141454. 2, 107, 661 What are the prime factors of 3571208? 2, 446401 List the prime factors of 5843479. 523, 11173 What are the prime factors of 9441191? 1249, 7559 What are the prime factors of 12397014? 2, 3, 7, 98389 List the prime factors of 13203572. 2, 53, 61, 1021 List the prime factors of 8345146. 2, 4172573 What are the prime factors of 292488? 2, 3, 7, 1741 List the prime factors of 854822. 2, 277, 1543 What are the prime factors of 207731? 31, 6701 What are the prime factors of 1328575? 5, 19, 2797 List the prime factors of 13144230. 2, 3, 5, 11, 17, 71 List the prime factors of 10742657. 17, 19, 79, 421 List the prime factors of 2730152. 2, 341269 List the prime factors of 94549. 7, 13, 1039 List the prime factors of 2949017. 461, 6397 List the prime factors of 597383. 597383 List the prime factors of 2148745. 5, 313, 1373 What are the prime factors of 3843937? 3843937 List the prime factors of 1319398. 2, 19, 34721 What are the prime factors of 511922? 2, 255961 What are the prime factors of 1405562? 2, 41, 61, 281 What are the prime factors of 838019? 7, 13, 9209 What are the prime factors of 378719? 11, 34429 List the prime factors of 782779. 73, 10723 List the prime factors of 27065705. 5, 43, 125887 List the prime factors of 356847. 3, 17, 6997 List the prime factors of 1378532. 2, 73, 4721 List the prime factors of 11564304. 2, 3, 89, 2707 What are the prime factors of 8604690? 2, 3, 5, 233, 1231 What are the prime factors of 231897? 3, 17, 4547 What are the prime factors of 100459? 100459 What are the prime factors of 5356174? 2, 1487, 1801 List the prime factors of 5946840. 2, 3, 5, 16519 What are the prime factors of 3915701? 523, 7487 What are the prime factors of 10868361? 3, 7, 19, 27239 List the prime factors of 353784. 2, 3, 14741 What are the prime factors of 564066? 2, 3, 31337 List the prime factors of 667322. 2, 23, 89, 163 What are the prime factors of 11093694? 2, 3, 1848949 What are the prime factors of 701098? 2, 350549 List the prime factors of 2694264. 2, 3, 112261 What are the prime factors of 627737? 11, 149, 383 List the prime factors of 558485. 5, 111697 What are the prime factors of 37801? 103, 367 What are the prime factors of 520556? 2, 181, 719 What are the prime factors of 328401? 3, 12163 What are the prime factors of 486435? 3, 5, 32429 List the prime factors of 7541869. 7541869 What are the prime factors of 834379? 7, 13, 53, 173 List the prime factors of 34007. 31, 1097 What are the prime factors of 18764840? 2, 5, 469121 What are the prime factors of 22313701? 37, 283, 2131 List the prime factors of 91823. 91823 List the prime factors of 206160. 2, 3, 5, 859 List the prime factors of 9111587. 9111587 What are the prime factors of 4887970? 2, 5, 488797 List the prime factors of 1085712. 2, 3, 22619 What are the prime factors of 952083? 3, 11, 59, 163 List the prime factors of 517340. 2, 5, 25867 List the prime factors of 346237. 19, 18223 List the prime factors of 265325. 5, 10613 What are the prime factors of 9939728? 2, 389, 1597 What are the prime factors of 6285950? 2, 5, 11, 1039 List the prime factors of 4651707. 3, 71, 21839 What are the prime factors of 518485? 5, 11, 857 List the prime factors of 3285097. 17, 173, 1117 List the prime factors of 287791. 7, 41113 List the prime factors of 2480021. 23, 107827 What are the prime factors of 1983558? 2, 3, 311, 1063 List the prime factors of 2525117. 7, 29, 1777 What are the prime factors of 32297793? 3, 11, 29, 33749 List the prime factors of 115100. 2, 5, 1151 What are the prime factors of 147852? 2, 3, 37 What are the prime factors of 21995? 5, 53, 83 List the prime factors of 814392. 2, 3, 11311 List the prime factors of 7390027. 7390027 List the prime factors of 215001. 3, 7963 What are the prime factors of 368178? 2, 3, 61363 What are the prime factors of 260550? 2, 3, 5, 193 What are the prime factors of 7615642? 2, 271, 14051 List the prime factors of 364320. 2, 3, 5, 11, 23 What are the prime factors of 215653? 215653 List the prime factors of 1994584. 2, 283, 881 List the prime factors of 2357207. 29, 81283 List the prime factors of 12923. 12923 What are the prime factors of 943676? 2, 235919 What are the prime factors of 4485394? 2, 2242697 What are the prime factors of 29045057? 571, 50867 What are the prime factors of 259701? 3, 13, 6659 What are the prime factors of 8353424? 2, 163, 3203 List the prime factors of 2917033. 7, 416719 List the prime factors of 10124875. 5, 107, 757 List the prime factors of 4222389. 3, 19, 74077 What are the prime factors of 189901? 189901 What are the prime factors of 13131519? 3, 29, 149, 1013 List the prime factors of 5220572. 2, 7, 47, 3967 What are the prime factors of 1520753? 13, 116981 List the prime factors of 219288. 2, 3, 9137 What are the prime factors of 19902? 2, 3, 31, 107 What are the prime factors of 1133748? 2, 3, 7, 11, 409 What are the prime factors of 1681065? 3, 5, 37357 List the prime factors of 14610862. 2, 7, 101, 10333 List the prime factors of 8509519. 37, 97, 2371 List the prime factors of 48497. 48497 List the prime factors of 14292. 2, 3, 397 What are the prime factors of 3547109? 3547109 List the prime factors of 4848412. 2, 1212103 What are the prime factors of 71815? 5, 53, 271 List the prime factors of 1202928. 2, 3, 19, 1319 What are the prime factors of 1289326? 2, 73, 8831 List the prime factors of 1236847. 41, 97, 311 List the prime factors of 4537185. 3, 5, 131, 2309 What are the prime factors of 3595843? 23, 79, 1979 What are the prime factors of 119701? 119701 What are the prime factors of 1459532? 2, 364883 What are the prime factors of 1528317? 3, 7, 17, 1427 What are the prime factors of 4303325? 5, 13, 13241 What are the prime factors of 441424? 2, 47, 587 List the prime factors of 343124. 2, 85781 What are the prime factors of 8091301? 661, 12241 List the prime factors of 3356651. 3356651 What are the prime factors of 325570? 2, 5, 7, 4651 What are the prime factors of 597313? 29, 43, 479 What are the prime factors of 3479747? 17, 107, 1913 List the prime factors of 11484125. 5, 91873 What are the prime factors of 913074? 2, 3, 31, 4909 What are the prime factors of 301560? 2, 3, 5, 7, 359 List the prime factors of 58646. 2, 7, 59, 71 List the prime factors of 2065104. 2, 3, 14341 List the prime factors of 3502385. 5, 173, 4049 What are the prime factors of 4916327? 13, 378179 List the prime factors of 5413592. 2, 31, 83, 263 List the prime factors of 9810385. 5, 13, 150929 What are the prime factors of 306303? 3, 102101 List the prime factors of 1107466. 2, 553733 What are the prime factors of 370232? 2, 46279 What are the prime factors of 1878377? 419, 4483 List the prime factors of 885528. 2, 3, 7, 251 List the prime factors of 28236415. 5, 401, 14083 List the prime factors of 238615. 5, 13, 3671 What are the prime factors of 217358? 2, 191, 569 List the prime factors of 2263548. 2, 3, 7, 26947 List the prime factors of 1536429. 3, 521, 983 What are the prime factors of 293627? 479, 613 List the prime factors of 1886491. 19, 99289 What are the prime factors of 4957813? 7, 263, 2693 What are the prime factors of 2991163? 7, 427309 What are the prime factors of 427661? 13, 67, 491 List the prime factors of 5111494. 2, 19, 134513 What are the prime factors of 37032684? 2, 3, 13, 277, 857 List the prime factors of 170861. 61, 2801 List the prime factors of 951861. 3, 97, 3271 What are the prime factors of 29779556? 2, 7444889 List the prime factors of 12753752. 2, 11, 37, 3917 List the prime factors of 1354823. 1354823 What are the prime factors of 6527480? 2, 5, 53, 3079 What are the prime factors of 4118424? 2, 3, 157, 1093 What are the prime factors of 5054361? 3, 13, 19, 359 List the prime factors of 6184987. 109, 179, 317 List the prime factors of 5034148. 2, 7, 23, 7817 List the prime factors of 310182. 2, 3, 17, 3041 What are the prime factors of 28169928?
{ "pile_set_name": "DM Mathematics" }
- 5*j - 1 + 197 = -27*v + 2*v for v. -6 Solve 28*k + 4*u + 41800 = 41732, 24 = -4*k - 2*u for k. -1 Solve 186*y - i + 257 = 158*y + 90*y, 0 = 4*y - 3*i + 11 for y. 4 Solve 5*s + 48 = -4*u - 4*u + 34, u + 0*u + 3*s - 3 = 0 for u. -3 Solve -u + 2*u + 41 = 5*a + 20, -3*a - 109 - 56 = 29*u for a. 3 Solve 0 = -4*t + 8*m - 71 - 89, 161*m = 2*t + 147*m + 270 for t. -2 Solve 19*j - 69 = -9*k + 88, j = -2*j - 2*k + 46 - 16 for j. 4 Solve 4*m + 7 - 7 = -0*m + 12, -5*x = 92*m - 670 + 94 for x. 60 Solve 2*m = -5*y - 383, 20*y + 17*y = 46*y + 675 for m. -4 Solve -82*j + 86*j + 61 = 5*b, 2*b - 38 = 5*j for j. -4 Solve -i = -3*t + 3, 35 = 9456*i - 9461*i - 5*t for i. -6 Solve 0*i - 4*i + 5*v = -3, 0 = 8*i - 16*i - v + 7 + 10 for i. 2 Solve -2*a - 3*q = 2*a + 79, -244 + 206 = 2*a + 2*q for a. -22 Solve -k + 45 = -9*m - 27 + 123, 5*m - 4*k = 49 for m. 5 Solve 10 = -3*c - 5*c + 9*c - 5*d, 5*d = -4*c + 6*c - 5 for c. -5 Solve 2*v = 1704*f - 1709*f - 3*v - 80, 3*f - 4*v - 29 = 0 for f. -5 Solve -4*g = -16, -2*p + g - 12*g + 112 = -2*g - 13*g for p. 64 Solve -102*x - 2*j + 96 = 104*x - 204*x, 9*j + 5*j + 235 = 19*j for x. 1 Solve -163319*j - 141 = -163367*j - a, -2*a - 3 = j for j. 3 Solve 5*c - 59 = 4*z, -7*z + 73929 - 73892 = 4*c for z. -1 Solve -4*y - 4*f - 7 = -35, -13 = 45*y + 4*f for y. -1 Solve 0*t - 1 = -3*t + i - 18, 4*t + 4747 = 11*i + 4647 for t. -3 Solve 0 = 25*a - 26*a + 27*a + 26*j - 22*j + 184, -4*j + 64 = -5*a for a. -8 Solve -4*o - 17*y = 14516 - 14109, 0 = 5*y + 115 for o. -4 Solve 48 = -4*c - 2*h, 161*h = -4*c + 20*h + 145*h + 36 for c. -5 Solve -2*r + 5*o - 3 = 18, 0 = -38*o + 39*o + 5 for r. -23 Solve -17 = -p + 5*a, 8042274*a = 2*p + 8042277*a + 18 for p. -3 Solve 4*x - 1119 = -s - 1146, -4*s + 18 = -2*x for x. -7 Solve 4*w + 116 = 4*q, 4*w + 323 + 331 = 5*q + 512 for q. 26 Solve -8*d + 11*d + 2*q - 70 = 0, -669 = -24*d - 6*q - 69 for d. 26 Solve 0 = l - 2*d + 65, 1791*l - 1794*l - d = -6*d + 194 for l. -63 Solve v - 3*i = -7*i - 32 + 47, -3*i = -3 for v. 11 Solve 4*g - 2*k = 16, -5*k = -32*g - 3690 + 3818 for g. 4 Solve 3*j = w + 117 + 141 - 425 + 146, 0 = w - 2*j - 16 for w. 6 Solve -4*r = -q + 4*q + 21, 33*r - 58 = -6*q - 2*q + 35*r for q. 5 Solve -d + 2*m + 9 + 65 = 0, 15*d = -3*m - 177 for d. -4 Solve 0 = 2*j + 3*w - 23, 2*j + 2 = 88*w - 83*w - 15 for j. 4 Solve 0 = 3*y + y + 6*p + 86, -5*y - 97 = p - 22 for y. -14 Solve 2*t + p = t + 4, -4*p + 106 = 19*t - 15*p for t. 5 Solve n + 31 = -2*n - 4*o, 5*n = 284*o - 288*o - 25 for n. 3 Solve 17*q - 7*a - 24 = 29*q - 8*q - 3*a, -31 = -19*a + 7 for q. -8 Solve 2*w - 123 + 185 = 14*x, -80*w - 1358 = x for w. -17 Solve 3*h - 639*k - 637*k - 31 = -1274*k, -k - 14 = h - 2*h for h. 3 Solve 5*b + 95 = 7*t, 34*t - 2*b = 2*t + 23*t + 4*t + 49 for t. 5 Solve -12*c + 136 = 22429*u - 22424*u, 0 = 2*u - 4*c - 28 for u. 20 Solve 4359*x = 4361*x - 12, l - 7 = -x for l. 1 Solve -4*p - 5*u + 24 = -7*p, 4*p - 8 = -15*u + 25 for p. -3 Solve -4*j = -2*k - 28, 3*j - 22*k - 330 - 765 = -664 for j. -3 Solve -7*i + 134 = -10*i + 11*i + 3*s, -6*s + 256 = -2*i - 102 for i. -5 Solve 12*o - d + 205 = 73, -3*o + 5*d - 199 - 233 = 0 for o. -4 Solve 4*v + 191 = m + 177, -43*v - 207 = -4*m - 16 for m. -6 Solve -2*a + 4*a = 2*i - 42, -219*i - 6*a - 7*a + 791 = -8*a for i. 4 Solve 5*a = 3*g + 22, 4354*a = 4365*a - 3*g - 34 for a. 2 Solve -3*u + 11*w = 130, -277*w + 273*w + 29 = 5*u for u. -3 Solve -q - 4*z - 7 = 6, -1005*q = -1003*q - 4*z + 2 for q. -5 Solve 3*m + 119*z = -354, 6*z - 2*z = -3*m - 0*z - 9 for m. 1 Solve 32*g - 33*g + 18 = -4*l - 3*l, 2*g = -5*l - 59 for l. -5 Solve 26*t - 859 = 23070*u - 23069*u, 3*u - 96 = -3*t for u. -1 Solve 114 + 139 = 7*t + 16*t - 5*m, -2*m = 138 for t. -4 Solve -5*a - 1537 = -21*q - 73, -a - 210 = -3*q for q. 69 Solve 135727318*s - 135727321*s + 7*n + 21 = 0, -2*s - n + 14 = 0 for s. 7 Solve -3*j + 127 - 110 = -t, 0 = -1496*j + 3*t + 10460 for j. 7 Solve -3*i + 49 = -638*l + 622*l, 5*l = -5*i - 45 for l. -4 Solve 4*n - 7*n - p = 37 + 14, 3*p = -2*n + 241 - 275 for n. -17 Solve 0 = -5*t + 4*f - 13, -1513*t + 1512*t + 3*f = 7 for t. -1 Solve 2*v + 2*v - 47 = -43*a, -83 = -v + 93 - 175 for a. 1 Solve -5520*x + i = -5515*x + 197, -26*x - 4*i = 1006 for x. -39 Solve -33*g - 18 = 28*g - 83*g + 25*g - 2*h, -4*g = 3*h + 24 for g. -6 Solve 0 = -5*t + 3*c + 21, 0 = 1885344*t - 1885343*t + 5*c - 21 for t. 6 Solve 16 = -5*c + 6*p, -23*c - 37 + 45 = 2*p + 15 + 37 for c. -2 Solve -16*r + 5*n + 4 - 8 = 0, 5*r - n + 15220 = 15221 for r. 1 Solve 0 = -d + 6, -b - 20 = 4*d + 11 - 58 for b. 3 Solve -4*c = -5*f - 5*c - 10, -16*f - 246 + 240 = -19*f - 3*c for f. -3 Solve 3*n + 12 = 4*q, 0 = 27*q + 9*q - 4*n - 39547 + 39715 for q. -6 Solve 480*w + 2880 = 0, 11*u - 5*u + 3*w + 4 + 2 = 2*u for u. 3 Solve -344*z + 380*z + d - 109 = 0, -d = -4*z - 29 for z. 2 Solve -3*n + 21667*h + 39 = 21670*h, -62 = -5*n - 4*h for n. 10 Solve -3*f - 4*t = -32, -31*f + 17*t = 34*f - 61*f + 2 for f. 8 Solve 5822 = 5*v + 5*a + 5837, 5*v - 35 = 5*a for v. 2 Solve a + 0*a + 4*a = -n + 1, 6*n - 11*a + 23 = 3*n for n. -4 Solve 2*m - 3 = -3*h, 4*m = -3*h - 2638 + 2641 for m. 0 Solve -8*r = -10*i + 13*i - 220, 8*i + 2*r - 26 = 0 for i. -4 Solve -8*q + 2*q - 34 = 2*h - 10, 7 + 2 = 3*h for q. -5 Solve 191*h - 187*h = 16, -5*r = 27*h - 123 for r. 3 Solve a - 77 - 10 = 601*s - 597*s, -18*a + 2*s = 44 for a. -5 Solve 12*r - 3*r + 5*r + 12 = 5*a, -5*r - 9 = -a for r. -3 Solve 65 = 2*l - 3*i, -34*l + 5*i + 193 = 3*i - i for l. 4 Solve -3*w = 5*h + 25, -240208 + 240074 = -22*w + 3*h for w. 5 Solve -2286 + 2253 = 3*b - 6*d, 26 = 8*b + 3*d for b. 1 Solve 92*y + 91*y + 110 = 169*y - 5*b, 37*y = -5*b + 60 - 285 for y. -5 Solve v + 2 = 0, -296*g + 2*v + 20 = -142*g - 150*g for g. 4 Solve -2*j - 16 = -4*w, -3*j = 10*w + 51 - 75 for w. 3 Solve 51*j - 54*j - 3*f = 18, j + 19*f + 6 = 0 for j. -6 Solve -2*v - 10*n = 108, -v - n - 48 = -6 for v. -39 Solve 0*n + 2*h + 35 = -5*n - h, -85520*h + 85519*h = 5 for n. -4 Solve 2*y + 2*f + 1360 = 1328, -4*f = 2*y + 80 - 44 for y. -14 Solve -3299*q + 119 = -4*y - 3302*q, -5*q - 205 = 5*y for y. 4 Solve -376*b + 3*s + 0*s - 14 = -382*b + 7*s, -5 = s for b. -1 Solve 4*z = 4*u, 0 = 4*z - 470*u + 234*u + 234*u - 0 - 2 for z. 1 Solve 15*p - 68 = 9*f - 5*f, 2*p + 3*p - 26 = -2*f + 14*f - 9*f for p. 4 Solve 4*a = 5*a - 4*l + 321, -1260138*l = -7*a - 1260141*l + 202 for a. -5 Solve 0 = 3*v - z + 15, -v - z = 2399 - 2406 for v. -2 Solve 71*u + 75 = 37*u + 40*u + 9*f, -4*u = -2*f - 74 for u. 17 Solve -l + 140 = -3*n, 17109*n + 2*l - 4 = 17109*n for n. -46 Solve 2*y = -b - 17, -3994*b - y = -3997*b - 44 for b. -15 Solve -15 = -5*m, 0 = -665*s + 224*s + 222*s + 223*s - 4*m + 20 for s. -2 Solve 901 = h - 16*d, -285 = 9520*h - 9521*h + 5*d for h. 5 Solve -36*f = -5*r - 26*f - 7*f + 110, 2*r + r - 3*f = 120 for r. -5 Solve -4*j = 2*s + 2*s + 16, -62 = -21*j - 56*j - 3*s for j. 1 Solve 100 = 20*f, 5*f + 4873 - 4842 = 4*y for y. 14 Solve 346591*b - 3*n = 346588*b, 0 = 3*n + 9 for b. -3 Solve 3*w + 14 = -d, -114*w + 3*d + 10 + 11 = -116*w for w. -3 Solve -i - 25*l = 903, 2*l + 706 - 646 = 4*i for i. -3 Solve 44*c + 70 = 21*c + 26*c - 11*q, -4*c + 5*q = -74 for c. 16 Solve l - 868*b - 21 = -865*b - 27 + 120, -3*l = 3*b + 102 for l. 3 Solve 0 = 4*t + 2*r + 54, t - 37*r + 11433 - 11232 = 0 for t. -16 Solve -28512*a + 3*q = -28517*a + 46, a + 5*q - 62 = 0 for a. 2 Solve -2*j = c - 6, -24 = 3*c - 7*j - 41*j + 66 for c. 2 Solve -2*o - 4*o + 12 = 0, 0 = y + 4*o - o + 377 - 374 for y. -9 Solve 44 = -12*o - 0*r - 3*r + 86, -3*r + 2 = -2*r for o. 3 Solve -6*i + d - 6 = -7*i, 407*i - 220*i + 2*d = 216*i - 174 for i. 6 Solve -13*q = 4*m + 35, 594*m = -4*q + 592*m - 10 for q. -3 Solve 56*l - 58*l = -15*j - 27, 0 = -l + 5*j + 11 for l. 6 Solve -3*y - 5*n + 23*n + 75 = 0, y + 2 = -217*n + 214*n for y. 7 Solve 4*o + 77486*q - 77481*q = -61, 4*q - 25 = 5*o for o. -9 Solve -n - 46 = -2*p, -5*n + 2*p = 17810539 - 17810493 for n. 0 Solve 2*l - 35 = -m, 4*l + 4*m + 17799 = 17863 for l. 19 Solve 0 = -4*x - 2*g + 54, 39264*x + 111 = 39266*x + 5*g for x. 3 Solve -y - 6599*x = -6604*x + 46, -50 = 3*y - 4*x for y. -6 Solve x - b + 18 = 0, -149149*b + 149168*b - 324 = x for x. -1 Solve 2*a + 4 = 0, -13329*a + 13325*a + 58 = 11*w for w. 6 Solve -1911*v +
{ "pile_set_name": "DM Mathematics" }
+ z*p**3 + r*p**2 and give t. 3 Express (3*p - 6*p + 13*p)*(56*p**3 - 123*p**3 + 7*p**3) as k + o*p + t*p**4 + x*p**2 + l*p**3 and give t. -600 Express -27*b**3 + 61*b**3 - 35*b**3 + 11*b**2 + b in the form n*b**2 + x + k*b**3 + d*b and give n. 11 Rearrange 802 - 623*k - 625*k - k**2 + 1248*k to the form b + l*k**2 + h*k and give b. 802 Express 387*n + 182*n + 1 - 1 in the form y*n + w and give y. 569 Rearrange -s**2 + s**2 + 1 - 6*s + 3*s - s**2 + 2*s**2 to the form t*s + i + h*s**2 and give t. -3 Express -2 + 1 + 15*m + 2*m**4 - 7*m - 3*m**3 - 3*m**2 + 4*m**2 in the form l*m**2 + x + s*m**3 + b*m + g*m**4 and give g. 2 Rearrange 4 - 1 + 61*h - 6 + 5 to p*h + n and give p. 61 Express -4*n**3 + n**3 - 43*n**4 + 3*n**3 - 2*n**3 + 33*n**4 + 3 + n**2 in the form p*n**4 + j*n**2 + b*n**3 + u*n + w and give j. 1 Express (319*o - 159*o - 158*o + 113*o**3)*(-5*o + 11 - 11) as k*o**2 + q + s*o**4 + y*o + g*o**3 and give k. -10 Express (2 + 2*z - 2)*(194 + 180 - 77) as p + w*z and give p. 0 Rearrange -38*d - 39*d + 38*d - 33*d to w + t*d and give t. -72 Rearrange (-5*c + 12*c + 5*c)*((-4*c + 3*c + 2*c)*(-1 + 2 - 2) - 3*c - 4 + 4) to the form z*c + x*c**2 + g and give x. -48 Rearrange (-16*x + 13 - 13)*(-4 + 0*x + 6*x + 0 + 1) to y + h*x**2 + m*x and give m. 48 Express 903*v**2 + 2*v**3 - 447*v**2 + 20*v**4 - 2*v - 449*v**2 as s*v**3 + y*v + u*v**4 + l*v**2 + n and give s. 2 Express ((-4 + 4 - 1)*(-4 + 3 + 2) + 204 + 519 + 42)*(3*x**3 + x**3 - 2*x**3) in the form o + k*x**3 + l*x + a*x**2 and give k. 1528 Express -4*b - 19*b + 1 + 0*b + 4*b**2 - 7*b**2 + 0 as h*b + p + y*b**2 and give h. -23 Express 1644 - 819 - 827 - 117*v in the form x + b*v and give b. -117 Rearrange 294*h**2 - 32769 + 32769 - h**3 to p*h**2 + d*h**3 + w + j*h and give d. -1 Express 248 - 17*u + 5*u + 2*u + 8*u as j*u + q and give j. -2 Express -37 + h + 88 + 0*h**3 - 8*h**3 - 46 as y*h + u*h**2 + p + t*h**3 and give y. 1 Rearrange (-5 + c + 0 + 2)*(13*c - 13*c - 128*c**3) to u*c + q*c**4 + y*c**2 + h + f*c**3 and give q. -128 Express (5*o**3 + o**4 - 5*o**4 - 3*o**3)*(56 - 32 - 25 + (-1 + 1 - 2)*(-2 - 3 + 3)) as w*o**2 + l*o + s*o**3 + b*o**4 + x and give s. 6 Rearrange 4*x**3 + 2*x**2 - 34 - x**3 + 26 to l*x**2 + i*x + j*x**3 + r and give j. 3 Express 173*m**2 - 8 + 8 - 307*m**2 in the form y*m + v*m**2 + f and give v. -134 Express 131*v - 192*v - 72*v - 50*v - 110*v as t + z*v and give t. 0 Rearrange 23*z + 1 - 34 + 25*z - 47*z to t + b*z and give b. 1 Express -106*x + 115*x - 156*x - 96*x in the form u + s*x and give s. -243 Express -110*r**4 - 2*r + 0*r - 1 + 56*r**4 as u*r**3 + k*r**4 + c*r**2 + g + f*r and give g. -1 Rearrange -8*l**2 - 43 + 29*l**2 - 10*l**2 + 199 + l**3 - 2*l**4 - 12*l**2 to a + u*l**4 + v*l + s*l**2 + g*l**3 and give a. 156 Express -53 + 244*c**2 + 212*c**2 - c**3 - 456*c**2 + c**4 as g*c**4 + b + z*c**2 + w*c**3 + n*c and give b. -53 Rearrange (-w**3 + w**4 + w**3)*(2 - 1 + 1) + (-4 - 3 - 6)*(w**4 + 11*w**4 + 9*w**4) to s*w**3 + n + p*w**4 + y*w**2 + v*w and give p. -271 Express 2708*j**2 - 2672*j**2 + j - j in the form y + r*j**2 + t*j and give r. 36 Rearrange (2*q + q + 0*q)*(0*q + 2*q - 4*q)*(4*q + 41*q + 5*q) to the form k*q**2 + i*q**3 + n*q + p and give i. -300 Rearrange (2*p + 0*p + 0*p - 3)*((44 - 12*p**2 - 44)*(p + 0*p - 2*p) - 2*p**3 + p**3 - 2*p**3) to y*p**4 + i + a*p**3 + f*p**2 + c*p and give c. 0 Rearrange (3 + 0 - 1)*(-2*g + 3*g - 2*g + (0 - 14 - 4)*(-5*g - 2*g + 5*g) - g + 3*g - g - 2 + 2 + g) to the form o + u*g and give u. 74 Rearrange (3 - 4 + 2)*((0 + 0 + 4*t)*(6 - 3 - 2) - t + 4*t + 7*t + (-1 + 4 + 0)*(0*t - 5*t + 4*t)*(-6 + 4 + 3)) to the form b + p*t and give p. 11 Express -10 - 3*j**3 + 5*j**3 - j**3 + (-1 + 1 - 2*j)*(4*j**2 - 6*j**2 - 5*j**2) as q + s*j**3 + v*j**2 + b*j and give s. 15 Rearrange 76*s**4 - 6*s**2 + 2*s - 21*s**3 + 7*s**2 - 78*s**4 to v + y*s**3 + n*s**4 + x*s + l*s**2 and give x. 2 Express -1 - 5*w**4 - 13*w**3 + 0*w**4 + 4*w - 2*w + 6*w**4 - 14*w**3 as a*w**3 + r + g*w**2 + q*w + t*w**4 and give r. -1 Express (5 + 2*u**2 + 2*u**2 - 6)*(4546*u - 2748*u - 2332*u) as j + g*u**3 + o*u + x*u**2 and give o. 534 Express -28 + 5*k - k - k - 4*k in the form c + h*k and give h. -1 Express (-3*a + 2*a + 0*a)*(0 - 18 - 7 - 1 + 2 + 1 + (-3 + 0 + 2)*(-3 + 1 + 1) - 3 + 2 + 4) as g + p*a and give p. 19 Rearrange -843 - 15*g + 422 + 421 + 647*g to b + a*g and give a. 632 Rearrange ((-n + n + 2*n)*(7 - 6 + 0) - 4901 + 4901 - 50*n)*(3*n - 3*n + n**2) to the form d*n + b*n**3 + l + u*n**2 and give b. -48 Rearrange -171*z**4 - 5 - 2*z**2 + 166*z**4 - 3*z + 5*z to the form j*z + m*z**3 + w*z**2 + s*z**4 + v and give v. -5 Rearrange (-460*k + 374 - 465*k + 924*k)*(2 + 1 - 4) to o + j*k and give o. -374 Express (-2*g - 2*g - 1 + 25*g)*(-g + 5*g - g) as i*g**2 + s*g + h and give s. -3 Express -19*r**2 - 5*r + 6*r**2 + 7*r**2 + 2*r in the form a + p*r**2 + f*r and give p. -6 Rearrange -92*u + 94*u - 2*u**2 + 8*u**2 to the form o + s*u**2 + y*u and give o. 0 Express (-b**3 + 2*b**3 + 40*b**2 - 36*b**2)*(1607 - 258*b - 1607) in the form p*b**3 + a*b**2 + q*b + k*b**4 + h and give p. -1032 Rearrange 82 - 103 + 4*q**2 - q**2 to h + l*q**2 + r*q and give l. 3 Rearrange (-c + c + c)*(-2*c + 2*c + 3*c)*(39 + 10 - 10 + 98) to the form u*c**2 + z*c + y and give u. 411 Rearrange (0 + 3 - 2)*(-2*p - 1 + 1) + (0*p + 7*p + 0*p)*(5 - 5 + 2) - 2 + 2 + 2*p - 2*p + 2*p - 2*p to q + s*p and give s. 12 Express 1696*r + 4969 - 4969 in the form q + b*r and give b. 1696 Express (-6 + 6 - 34*a)*(2 + a - 2)*(6*a - 3*a + 0*a) as c + m*a**3 + j*a + f*a**2 and give c. 0 Rearrange (11*t**2 - t**2 + 8*t**2)*(7*t + 4*t**2 - 7*t) + t**4 - 2*t**3 + 2*t**3 to c*t**4 + w*t + y*t**2 + g + m*t**3 and give w. 0 Rearrange 464*a + 4 - 12 + 2 + 6 to p*a + c and give p. 464 Express 2*g - 116 + 239 - 120 as s*g + c and give c. 3 Express -10 + 12*d + 4*d - 2*d - 7*d in the form t + y*d and give t. -10 Express -102*d + 692*d - 101*d + 371*d in the form m + a*d and give a. 860 Rearrange -75*w - 47*w**3 + 75*w + (w**3 + 4 - 4)*(-3 - 3 + 4) - 8*w + 4*w**3 + 8*w to the form c*w**2 + a*w + v + h*w**3 and give h. -45 Express -10*k**2 - 9*k**2 + 59*k**2 in the form f*k**2 + x + s*k and give f. 40 Express (0 - 127 + 17)*(4*m + 3 + 2*m**2 - 4 + 0) as h*m**2 + z + f*m and give z. 110 Express (2*n + n - n)*(0 - 4 + 6) + (-2*n + 4*n - n + (-n + n + n)*(0 - 9 + 1) + n - 5*n - 2*n)*(4 + 0 - 3) + n + 0 + 0 in the form c*n + d and give c. -8 Rearrange -859*x - 3*x**3 + 17 + 31 + 859*x to f*x**3 + u*x + z + l*x**2 and give f. -3 Express -61*a + 1716 - 1716 in the form k*a + z and give k. -61 Rearrange 2 + 15*l - 85*l + 10420*l**3 - 10416*l**3 to o*l**3 + d*l + b*l**2 + u and give u. 2 Express -114*f**3 - 2*f**2 - 2*f**4 + 62*f**3 + 52*f**3 + 0*f**4 + 7*f + 40 in the form s*f + k + c*f**4 + a*f**3 + m*f**2 and give m. -2 Rearrange 3*c - 889*c**4 + c**2 - 35 - c**2 + 891*c**4 to f*c**3 + g*c**4 + t + v*c + y*c**2 and give t. -35 Rearrange (-2*r + r - r + (3 - 2 - 2)*(17*r - r - 47*r))*(3*r - 3*r + 2*r**2) to t + a*r + f*r**2 + x*r**3 and give x. 58 Rearrange ((3 - 2 + 1)*(0*r + 0*r - 2*r) + ((1 + 1 + 0)*(7 - 1 - 1) + 5 - 3 + 5)*(4*r - 4*r - r))*(-r - 3*r + 2*r) to the form o + i*r + n*r**2 and give n. 42 Express 23*b - 45*b + 3*b**2 - 184 - 5*b**2 + 22*b as a + m*b**2 + r*b and give m. -2 Rearrange (-5*m + 3*m + 0*m)*(-3*m - 4*m + 5*m) - 7*m**2 - 14*m + 14*m + 15*m**2 - 41*m**2 - 14*m**2 to w + n*m + f*m**2 and give f. -43 Rearrange (-2*z + 2*z + z)*(3 + 2 + 1) + 6*z - 2*z - 8*z to the form a*z + w and give a. 2 Express 155*k**3 + 3*k**2 - 2*k**2 - 176*k**3 in the form u + b*k + p*k**2 + w*k**3 and give w. -21 Rearrange (-3*v + 2*v + 3*v)*(0*v + 5*v + 0*v)*(15*v - 8*v**2 - 15*v) to the form b*v + a + t*v**4 + r*v**3 + l*v**2 and give t. -80 Rearrange (-125 - 143 + 244)*(g**2 + 3*g**2 - 3*g**2) to the form y*g**2 + d*g + q and give y. -24 Rearrange -49 - 360*q + 49 - 694*q to the form n*q + a and give n. -1054 Rearrange (3*m**4 + m**4 - m**4)*(0 + 5 - 2) + m**4 + m**4 + 121*m - 129*m to the form j*m**4 + l*m + i*m**3 + d*m**2 + s and give d. 0 Rearrange 0*h - 3*h + 0*h - 78 + 11*h - 5*h to p + m*h and give m. 3 Express ((5 + 1 - 4)*(0*k - 6*k + 4*k) + 2*k - k + 0*k - 5*k + 5*k - k - 3 + 8 - k - 2*
{ "pile_set_name": "DM Mathematics" }
d*w**5 + 12*d*w**3 + 3634*d - 3*w**4 + 5*w**2 wrt w? -52020*d*w**2 + 72*d - 72*w What is the first derivative of -l*u + 14*l + 713*u - 803 wrt u? -l + 713 What is the second derivative of -283264*j**2 - j + 461475? -566528 What is the third derivative of 33674*m**6 - 1575*m**2 + 2*m wrt m? 4040880*m**3 Differentiate -3008444*a*v*z**3 + a*v - 6*a*z**3 - 28056*a*z with respect to v. -3008444*a*z**3 + a Differentiate 295*d*g*u + 2*d*t**2 + 53*d*t*u - 46*g*t**2*u + g*t**2 - 24*t**2*u wrt d. 295*g*u + 2*t**2 + 53*t*u Find the second derivative of 96166*w**3 + 193751*w. 576996*w What is the derivative of -528*k**3 + 19*k - 251956? -1584*k**2 + 19 What is the third derivative of -146471*c**5 + 4*c**4 + 31*c**2 - 497 wrt c? -8788260*c**2 + 96*c Find the second derivative of 74*h**3*k**3 + 1022*h**3 - 367*h**2*k - 379*k**5 wrt k. 444*h**3*k - 7580*k**3 What is the third derivative of 4*p**5 + 216*p**4 - 33*p**3 + 6*p**2 - 99635*p? 240*p**2 + 5184*p - 198 Find the third derivative of -651633*g**3*j - g**2*j - g**2 - 2*g*j + 3*j + 1426 wrt g. -3909798*j Find the second derivative of -591102*w**3 - 2*w**2 + 67*w + 5175. -3546612*w - 4 Find the third derivative of 1103138*p**3*v - 2*p**2*v + 916*v + 159 wrt p. 6618828*v Find the second derivative of -v**3 + 21724*v**2 + 10116*v wrt v. -6*v + 43448 What is the second derivative of 499*y**4 + 12*y**2 + 1487*y? 5988*y**2 + 24 What is the first derivative of 1236402*l**2*z + 2938346*l**2 wrt z? 1236402*l**2 What is the second derivative of 539*d*l**3 - 2*d*l**2 + 4*d*l + 3*d - 2*l**3 - l**2 - 3*l + 1335 wrt l? 3234*d*l - 4*d - 12*l - 2 What is the second derivative of 2*h**3 + 235635*h**2 - 680586*h wrt h? 12*h + 471270 Find the third derivative of 47*c*w*y**3 + 45*c*w*y + c*y**3 + 19*w*y**3 - 4*y**3 + 2*y**2 - 407*y wrt y. 282*c*w + 6*c + 114*w - 24 What is the third derivative of -904664*v**4 + 96*v**2 + 2*v + 187? -21711936*v What is the second derivative of -2*c**3 + 14161*c**2 + 4938*c + 8? -12*c + 28322 Find the second derivative of -3592215*b**3 + 8191*b + 7 wrt b. -21553290*b What is the first derivative of 135*d**2*w**2 + 11*d**2 + 290*d*w**4 + 3421*d wrt w? 270*d**2*w + 1160*d*w**3 What is the third derivative of 283*w**4 - 273*w**3 - 9*w**2 - 994*w wrt w? 6792*w - 1638 What is the second derivative of -3204*l**5*t**3 - l**3*t**3 - 1005*l*t**3 - l*t**2 - 4*l wrt l? -64080*l**3*t**3 - 6*l*t**3 What is the derivative of -54815*a + 1922559 wrt a? -54815 Find the second derivative of 59*n**4 + 13*n**3 + 3*n**2 + 47303*n wrt n. 708*n**2 + 78*n + 6 What is the first derivative of 2598820*j**2 + 2378576? 5197640*j Differentiate -811*i*n*y**3 + 107*i*n*y**2 - 6*i*y**3 + 25*y**3 + 1764*y**2 with respect to n. -811*i*y**3 + 107*i*y**2 What is the second derivative of 40459*b**3 - 3*b**2 + 985533*b wrt b? 242754*b - 6 What is the third derivative of 41*h**5 - 1556*h**4 + 86353*h**2? 2460*h**2 - 37344*h What is the third derivative of h*s**4 + 13*h*s**3 + 6*h*s**2 + 203*h - s**4 + 25*s**3 - 2*s**2 + 1 wrt s? 24*h*s + 78*h - 24*s + 150 What is the second derivative of 3*n**3*w**2 + 120*n**3*w - 223*n**2*w + 5380*n*w**2 + w**2 wrt n? 18*n*w**2 + 720*n*w - 446*w What is the third derivative of 52*p**6 - p**4 + 11*p**3 - 22099*p**2 wrt p? 6240*p**3 - 24*p + 66 What is the derivative of 43946*v**4 + 22016 wrt v? 175784*v**3 Differentiate -192085*j*r + 4*r + 8679 with respect to j. -192085*r What is the third derivative of 72058*g**2*v**6 + 1353*g**2*v**2 + 32*v**2 wrt v? 8646960*g**2*v**3 What is the first derivative of 1375471*k**2 - 365077? 2750942*k What is the second derivative of 186058*k**2*s**5 - 1637*k**2*s + 2*k*s**5 - 5*k + 2*s + 12 wrt s? 3721160*k**2*s**3 + 40*k*s**3 Find the third derivative of -f**3*r**3 - f**3*r - 11531*f**3 - 174*f**2*r**3 - 3*f**2*r**2 + 32*f*r**3 wrt r. -6*f**3 - 1044*f**2 + 192*f Find the second derivative of -18*d**3 + 7100*d**2 - 3208487*d. -108*d + 14200 Find the second derivative of -p**3*v**2 + 784*p**3*v - 498*p**3 + 61836*p**2*v**2 wrt v. -2*p**3 + 123672*p**2 What is the derivative of -p*q**4 - 6*p*q - 45237*p - 704*q wrt q? -4*p*q**3 - 6*p - 704 What is the first derivative of -13416*f**3*g**2 - f*g**2 + 14311*g**2 wrt f? -40248*f**2*g**2 - g**2 What is the third derivative of 18*f**4*l**2 + 50*f**3*l**3 - f**3 + 2*f**2*l**3 + 10*f**2 + 4*l**2 - 123*l wrt f? 432*f*l**2 + 300*l**3 - 6 What is the second derivative of 690766*t**2*v - 7*t*v - 8389 wrt t? 1381532*v What is the second derivative of -h**2*i - 27*h**2*u**2 - 1619*h*i**3*u**2 - 4*h*i**3*u + 49*h*i**3 + 64*h*u wrt u? -54*h**2 - 3238*h*i**3 Find the third derivative of -400*i**3*m**3 - 7*i**3*m**2 + 86*i**3*m + 224*i**2*m**3 - 2500*m wrt i. -2400*m**3 - 42*m**2 + 516*m Differentiate -1067*n**4*q**2 - 33*n*q**2 + 110399*q**2 wrt n. -4268*n**3*q**2 - 33*q**2 What is the third derivative of 2*n**4 - 2731*n**3 - 29008*n**2 + 3? 48*n - 16386 Find the third derivative of 64198*l**3 + l**2 + 402*l - 3. 385188 Find the first derivative of 1705*l**2*x**3 + 962*l**2 - 9*x**4 + 12 wrt x. 5115*l**2*x**2 - 36*x**3 Differentiate 2775*n*s*x - n*x**2 - 2*n*x - 2*n - 15*s*x**3 - s - 262*x**3 + 10 wrt s. 2775*n*x - 15*x**3 - 1 What is the third derivative of 2*q**5 - 3*q**4 + 54*q**2 + 25*q + 7 wrt q? 120*q**2 - 72*q Find the second derivative of -1681*o**3*x**2 - 2*o**3*x + 3*o**2*x**2 - 173*o**2*x + 169*o wrt x. -3362*o**3 + 6*o**2 Find the third derivative of 5833*a**4 + 39764*a**2. 139992*a Find the third derivative of -5767*n**5 + 2*n**2 + 756*n wrt n. -346020*n**2 Find the second derivative of i**2*s*z**2 - i**2*s*z + i**2*z + 282*i*s*z**2 - i*s*z - 14*i*z**3 - 9784 wrt z. 2*i**2*s + 564*i*s - 84*i*z Find the second derivative of -27301*j**3*k + 2*j**2*k - j**2 - 123741*j*k wrt j. -163806*j*k + 4*k - 2 What is the second derivative of 3*o**2*w**2 - 830*o**2*w - 4*o**2 + 1199*o*w**2 - 6*o*w - o + 3*w**2 wrt o? 6*w**2 - 1660*w - 8 What is the first derivative of -28*a**3 + 162*a**2 - a + 45798 wrt a? -84*a**2 + 324*a - 1 Differentiate -6810*n**3*u*v - 26*n**3 - n*v + 8*n + 4*v wrt u. -6810*n**3*v What is the first derivative of 30015*n**4 + 11028? 120060*n**3 What is the first derivative of 146*b**3*m**2 + 8*b*m + 12*b + 8806*m**2 wrt b? 438*b**2*m**2 + 8*m + 12 Differentiate 11*k**3*o + 19386*k**3 + 2*k*o**2 + 2*k*o + 3*o**3 with respect to o. 11*k**3 + 4*k*o + 2*k + 9*o**2 Find the third derivative of 3*d*n**3 - 7989*d*n**2 + 39224*n**3 - 19*n**2 wrt n. 18*d + 235344 Find the second derivative of -12074*k**5 + 90*k - 217 wrt k. -241480*k**3 What is the third derivative of -42820*x**5*y + 110165*x**2*y wrt x? -2569200*x**2*y Find the first derivative of 217*f*i*r + 11*f*i + f*r + 8*f - i - 11*r + 1 wrt r. 217*f*i + f - 11 Find the first derivative of 267506*a**2*q*t + 2199*a**2 + 2*a*q + 8 wrt t. 267506*a**2*q What is the third derivative of -124652*g**5 - g**4 - 2*g**2 - 234*g + 455? -7479120*g**2 - 24*g Find the third derivative of 169946*m**3 + 29632*m**2. 1019676 Differentiate -1871374*n - 646114. -1871374 What is the second derivative of 326754*m**5 - 9*m**4 + 48*m - 34179 wrt m? 6535080*m**3 - 108*m**2 What is the first derivative of -15237*r**2 + 751225 wrt r? -30474*r What is the second derivative of 1277582*h**3 - 405*h - 92 wrt h? 7665492*h What is the third derivative of -200696*v**3*y - 60375*v**2 - 4*v*y wrt v? -1204176*y What is the third derivative of -6*s**5 - 968*s**4 - 391*s**2 - 12 wrt s? -360*s**2 - 23232*s What is the first derivative of -197882*d**2 + 101410? -395764*d What is the second derivative of -2*i**5 + 3*i**4 - i**3 - 65*i**2 + 1896785*i? -40*i**3 + 36*i**2 - 6*i - 130 Find the second derivative of -22*b**5 + 97*b**3 - 20*b + 420 wrt b. -440*b**3 + 582*b Differentiate 104*i**2 - 44*i - 58135. 208*i - 44 Find the second derivative of 146723*l**2 + 231403*l. 293446 Find the third derivative of -1150801*m**2*v**3 - 6*m**2*v**2 - 2*m**2 - 7*m*v**2 - 2610*v wrt v. -6904806*m**2 Find the second derivative of -557042*a**5 + 203469*a. -11140840*a**3 Find the third derivative of 10671*y**3 - 52400*y**2. 64026 Find the second derivative of -5*c**3*j**3 + 1579*c**3*j**2*r**2 + 2*c**3*j*r + 42*c**2*j**3*r**2 + c**2*j*r + 114*c*j**3*r - 2*c wrt r. 3158*c**3*j**2 + 84*c**2*j**3 What is the first derivative
{ "pile_set_name": "DM Mathematics" }
et c(n) = -n + 9. Let d be c(7). Suppose -2 = -0*f - d*f. Suppose -x - 9 = -4*g + 4*x, 29 = -g - 5*x. Put -5, g, f in descending order. f, g, -5 Let w(a) be the first derivative of a**4/4 + 4*a**3/3 - a**2 - 5*a - 2. Let f be w(-4). Suppose -f*g = -g. Put g, -3, 5 in descending order. 5, g, -3 Suppose -4*c - 2 = -2*u, -3*u - 6*c = -c - 3. Suppose 4*f + 17*r = 12*r, 2*f - 3*r + 22 = 0. Sort u, f, 2 in decreasing order. 2, u, f Let a(m) = 3*m**3 - 7*m**2 - m - 6. Let f(s) = -s**3 + s**2 + s. Let r(z) = -a(z) - 2*f(z). Let n be r(5). Sort n, 2, -4 in descending order. 2, n, -4 Let d be (2/(-6))/((-3)/(-511857)). Let y = d - -286254/5. Let z = 379 - y. Sort 3, -0.4, z. -0.4, z, 3 Suppose 0*k = 2*k + 4, j + 3*k + 10 = 0. Let h = j - -2. Let n = -32 + 31.8. Put n, h, -3/2 in ascending order. h, -3/2, n Let i be 3 - (2 + 57/39). Let o = -40/143 - i. Put -2, o, 0 in ascending order. -2, 0, o Let k be (-24)/15*5/(-2). Put -3/5, k, -2, -4 in increasing order. -4, -2, -3/5, k Suppose -z = -4*n + 2, -2*z + 3*n + 31 = 2*z. Suppose -3*f - z = 2*f. Let q = -169/204 + 4/51. Sort 2/5, f, q. f, q, 2/5 Let m(k) = -4*k - 35. Let r be m(-8). Put r, 3, 7 in increasing order. r, 3, 7 Suppose 4*c - 5*c + 6 = -2*x, -2*c - 15 = 5*x. Put x, -4, 5, 2 in decreasing order. 5, 2, x, -4 Let z = 1.7 + 1.3. Sort 1, z, 0.2. 0.2, 1, z Let s be (456/80)/19 + 1/5. Put -5, -0.2, s in increasing order. -5, -0.2, s Let i = -0.94 - -0.9. Let k = 0.36 - i. Put -2/13, k, -3/4 in increasing order. -3/4, -2/13, k Let b = 0.657 + -4.547. Let m = 0.11 - b. Put 2/13, 0.3, m in increasing order. 2/13, 0.3, m Let l = 1.7 + -2. Let w be (2/(-136))/((-36)/32). Let x = w + 32/153. Sort -2/3, l, x in descending order. x, l, -2/3 Let v = -9 + 7. Let w(p) be the third derivative of -p**6/120 - p**5/20 - p**4/12 - p**3/2 - 2*p**2. Let x be w(-2). Put v, 3, x in increasing order. x, v, 3 Let s = 0.49 - -0.01. Sort 1, s, 0.1 in decreasing order. 1, s, 0.1 Let c(h) = -h**3 + 5*h - 4. Let l be c(2). Put -4, l, 1 in decreasing order. 1, l, -4 Let h be (2 - (0 + -1)) + -2. Let b = -42 + 46. Put h, b, 2 in descending order. b, 2, h Suppose -3*i = -5*c, -i - 5*c = 2*i. Suppose 0*w + 4 = w, -v + 4*w - 16 = 0. Suppose r + 2 - 5 = v. Sort i, r, 5 in increasing order. i, r, 5 Let g = -1 + 2. Let u(j) = -j**2 - 6*j - 2. Suppose 4*n + 12 = -8. Let c be u(n). Put c, g, 5 in ascending order. g, c, 5 Let x = -2.01 - -0.01. Let v = -37/147 + -4/49. Sort x, v, -5 in ascending order. -5, x, v Suppose 0*p - 12 = -2*p. Let g(l) = -l + 4. Let w be g(p). Let q = 8 + -13. Put w, q, 0 in descending order. 0, w, q Let p = 109/63 - 13/9. Let r be (6 + -3 - 1) + -1. Sort p, 4, r in descending order. 4, r, p Let p = -2.3 - -2.7. Let a be 5/(-11)*2/(-5). Put 1, p, a in ascending order. a, p, 1 Let m = 2.01 + -0.01. Let u(k) = -k**2 - 7*k + 8. Let h be u(-8). Let v be (-7)/(-91)*(2 - h). Put 1/4, m, v in descending order. m, 1/4, v Suppose 5*h - 77 = 48. Suppose -3*g + 16 = r, -4*g + h = r + 4*r. Put g, 2, -3 in increasing order. -3, 2, g Let z be ((-10)/(-8))/(2/8). Let k(d) = -d**3 + 33*d**2 + 3. Let l be k(33). Sort z, l, -4 in increasing order. -4, l, z Let m = 34 + -36.7. Let d = 2.3 + m. Put -0.2, d, 1 in descending order. 1, -0.2, d Let a(w) = w**3 - 7*w**2 + 5*w + 4. Let h be a(6). Suppose 14 = 5*p + 4. Sort p, h, 0. h, 0, p Let m = 3.77 - -0.23. Let d = -1/27 - 187/54. Put m, -0.4, d in decreasing order. m, -0.4, d Let n be (20/16)/(27/12 + -2). Let i(m) = -m**2 - m + 1. Let s be i(0). Put n, s, 3 in descending order. n, 3, s Let y be 2/(-13) - 28/(-13). Let l(n) = 5 - 3*n**y - n**3 + n + 0*n**3 - 2*n**2. Let q be l(-5). Sort 3, -1, q. -1, q, 3 Let i(y) = -y**2 - y + 4. Let j be i(0). Put 5, j, -1 in decreasing order. 5, j, -1 Let l = 0.9 - 3.9. Sort 0.5, 2, l. l, 0.5, 2 Let l = 79 - 42.8. Let q = l - 31. Let i = -5 + q. Put -4, 3, i in decreasing order. 3, i, -4 Let a(c) = 2*c**2 - 15*c + 7. Let p be a(7). Put 1, p, 2, 3 in descending order. 3, 2, 1, p Suppose -39*z = -36*z - 12. Suppose 2*s - s - 3 = 0. Suppose -s*l + 7*l = 4*o - 8, z*l + 20 = 0. Sort o, 1, 4. o, 1, 4 Let j(x) = -4*x - 52. Let r be j(-14). Sort 0.2, r, -2/9, 0. -2/9, 0, 0.2, r Let d(z) = z + 1. Suppose 2*r + h + 14 = 0, 6*r = 3*r - 5*h - 21. Let u be d(r). Let y = u + 5. Put 5, y, 4 in descending order. 5, 4, y Let r = 4 + 3. Let h = r - 11. Let s = -4.5 - 0.5. Sort h, s, -2 in decreasing order. -2, h, s Let w = -0.13 + 4.13. Sort 2, -3, w in increasing order. -3, 2, w Let m be 17/(-5) - 6/10. Let i be -5 + (1 - (3 + m)). Let q = 5 - 0. Sort i, 0, q. i, 0, q Let t(w) = -5*w. Let g be t(-1). Put 0, -3, g, 8 in increasing order. -3, 0, g, 8 Suppose -n = 2*t - 8, 5*t = 4*n + 6*t - 18. Let o = -3 + 4. Let h be o/(-2)*0/(-3). Put h, 5, n in descending order. 5, n, h Let w be ((-4)/(-6))/((-28)/(-18)). Suppose b = 4*y, -2*b = -5*b + 5*y + 14. Let p = b - 13. Put p, 4, w in decreasing order. 4, w, p Let o(r) = -r**2 - 6*r + 5. Let a be o(-7). Let u be (1/6)/(a/(-6)). Sort 0.3, 2/11, u. 2/11, 0.3, u Let u = 0.23 + 0.77. Let f be (-48)/119 - (-2)/7. Sort 2/3, u, f. f, 2/3, u Let z be (-3)/(-1) + ((-43)/15 - 0). Let r = -3.2 - -3. Put r, z, 0.3 in increasing order. r, z, 0.3 Let l(b) = -b**3 + 9*b**2 + b - 7. Let d be l(9). Let z be d/(-4)*4/6. Let i = 0.02 - 0.42. Sort z, i, -2 in descending order. z, i, -2 Let o(j) = -j**3 - 1 - 4 - 9*j**2 - 9*j + 0*j**3. Let c be o(-8). Let n be -2 - 44/(-10) - c. Put 1, 5, n in decreasing order. 5, 1, n Let r(p) = -p + 1. Let d be r(3). Suppose 2*h = 3*h + 6. Let l be 168/(-198) - 4/h. Sort 3, d, l in decreasing order. 3, l, d Let j be 22/33 + (-56)/102. Sort -3/7, -1, j in decreasing order. j, -3/7, -1 Suppose z = 1 - 6. Put 0, z, 2 in decreasing order. 2, 0, z Let p be (-71)/215 - 4/(-10). Let a be ((-4)/344)/(15/(-348)). Let v = p - a. Put v, -2/11, -2 in decreasing order. -2/11, v, -2 Let z = 0.8 + -7.8. Let i = -6.7 - z. Put 0, i, -4 in ascending order. -4, 0, i Let b = 106.57 + -106. Let p = -4.47 + b. Let n = p + -1.1. Put 1/3, 3/4, n in increasing order. n, 1/3, 3/4 Let m(u) = u**2 + 3*u - 12. Let c be m(-5). Sort c, -1, -4, 5 in decreasing order. 5, -1, c, -4 Let u = -3 + 2. Suppose 2*h - 18 + 4 = 0. Suppose -h*k = -4*k. Sort 1, u, k. u, k, 1 Suppose n = -3*n - 32. Let t = -7 - n. Suppose x + 4*x + 5*y = -35, -5*x = -2*y + 7. Put 0, t, x in descending order. t, 0, x Let l = 0 - 3. Let f = 1 - -2. Let j = f + l. Put 1, -5, j in increasing order. -5, j, 1 Suppose 4*o + 4*f = -8 + 28, 3*o - 5*f = -1. Suppose 4*m = -31 + o. Let d(s) = -s - 9. Let g be d(m). Put g, -3, 1 in decreasing order. 1, g, -3 Suppose -4*d - 3*p = -7, 2*p = -2*d + 2 - 0. Suppose -d*f - 3 = 13. Suppose -5*h + 15 = -10. Put h, -2, f in ascending order. f, -2, h Let y = 73/8 + -9. Sort y, 4, -5/6. -5/6, y, 4 Let x(r) = -r**3 - 7*r**2 + 8*r + 4. Let l be x(-8). Let w(j) = j + 3. Let a be w(-8). Sort a, l, -3. a, -3, l Suppose -5*q - 7 - 7 = -2*b, -5*b = -2*q + 7. Let x = -23/5 - -243/55. Put 0, q, x in increasing order. q, x, 0 Let t = -137/4 + 34. Sort -0.3, t, 4, -2 in descending order. 4, t, -0.3, -2 Let l = 7 - 3. Suppose -2*u = 3*a + 4 - 29, u + 5*a - 23 = 0. Sort -2, l, u in decreasing order. u, l, -2 Let v = -2 + 4. Let n(y) = -y + 3. Let d be n(4). Sort v, -4, d in descending order. v, d, -4 Let u = 0.4 + -0.1. Let w = 0.29 - u. Let y = -0.41 - w. Sort y, 1, -0.2. y, -0.2, 1 Let o(n) = -n**3 + 2*n**2 + n + 4. Let f be o(3). Let b = -1/4 + 0. Put f, b, 2 in ascending order. f, b, 2 Suppose 5*h + 3*p + 2 = -11, 0 = -2*h + 3*p - 1. Put 1, -4, h in descending order. 1, h, -4 Let h be 0 - 8/(2 + 0). Suppose -5 = -5*n, s + 2*n - 1 - 2 = 0. Let o be ((7 - 2) + -2)/s. Sort o, -5, h in decreasing order. o, h, -5 Let v(p) = 3*p + 9. Let z be v(-3). Sort z, -0.3, 3/4 in ascending order. -0.3, z, 3/4 Let u be (6/(-24))/(20/48). Put u, -2/5, 2/13 in increasing order. u, -2/5, 2/13 Suppose f + 8 - 2 = 0. Let k = 8 + f. Let h(c) = -5*c**3 - c - 1. Let m be h(-1). Sort m, k, -5 in ascending order. -5, k, m Let j = 5/6 + -1/3. Sort -0.5, j, 3, -5/3 in increasing order. -5/3, -0.5, j, 3 Let a = -0.1 + 0.05. Let m = 5.05 + a. Put m, 1, 4 in decreasing order. m, 4, 1 Suppose 0 = 2*b - 5*i - 10, -4*i - i = 5*b + 45. Sort 1, -2, b in ascending order. b, -2, 1 Le
{ "pile_set_name": "DM Mathematics" }
= w - 7 for w. -1 Let s = 55 + -50. Solve -4*c + 3*y - 25 = -0*c, -3*y = c - s for c. -4 Suppose 0 = 5*g - 30 - 70. Suppose 11 - g = -3*b. Solve -24 = -4*q - 0*q + 3*i, b*i + 18 = 2*q for q. 3 Suppose 60 = 26*w - 11*w. Suppose -2*f + p + 0 = -2, -4*f + 12 = 2*p. Solve -12 = f*o + 2*m, -m - 1 = w*o + 20 for o. -5 Suppose 5*g - 121 = s, -g + 23 = -4*s + 5*s. Suppose 5*h = 6*z - 3*z - 139, 5*z + 4*h - 281 = 0. Let m = 58 - z. Solve d - g = -m*j, j - 3 = 1 for d. 4 Let x(r) = r**3 + 17*r**2 + 30*r + 8. Let m be x(-15). Suppose -3*o - 27 = -3*i, -4*i = -m*i + o + 24. Solve 3*u + 4 = -i*h + 10, u = 2*h - 9 for u. -3 Let p be 15/(6/(-2) - -6). Solve -p*a = 2*b - 7*b + 25, 0 = -2*b - a + 7 for b. 4 Let p = -10 + -23. Let y = p - -37. Solve -k = -m - 2, -4*k = y*m - 3*k - 7 for m. 1 Let x(m) = -m**3 + 6*m**2 - 4*m + 2. Let r be x(4). Suppose -12 = 4*l - 26*a + 31*a, 0 = -4*l + 5*a + 28. Solve 2*y + 2 = -l*p + 4, -r = -3*y + 2*p for y. 4 Let u = 19 + -16. Suppose 0 = -d - u*d + 16. Let t be ((-114)/(-27) - 4) + (-43)/(-9). Solve -d*w - 15 = t, 0 = -2*k - 4*w - 30 for k. -5 Suppose -5*b = 3*l - 21, 0 = -b + 12*l - 10*l - 1. Solve 2*i - 4 = 0, 0 = a - b*i + 5*i + 1 for a. -5 Let t(l) = -l + 20. Let m be t(0). Suppose 3*v + m - 260 = 0. Suppose -3*y + v = 2*y - 2*f, 79 = 3*y + 5*f. Solve 5*a = s + y, -5*a - 4*s + 9 = -19 for a. 4 Let c(w) = w**2 - 9*w + 2. Let g be c(9). Solve 2*l + g = 3*a, l + 2*l - 4 = a for a. 2 Let p(x) = 4*x + 63. Let v be p(-19). Let n be v/(-26)*(5 - 1). Solve -j + 3 = 2*m, 0 = -3*j - 1 - n for m. 2 Let n = -2683 - -2686. Solve -3*x = 2*k - x - 8, 4*x - 15 = -n*k for k. 1 Suppose -43*w = -42*w + o, 3*o + 6 = 3*w. Solve p = 2*m - 7, w = m + 4*p - 7 for m. 4 Let c(h) = -12*h**2 + 4*h + 5. Let s be c(-2). Let v = 56 + s. Solve 6*g = -n + g + 5, 0 = 3*n + v*g - 5 for n. 0 Let l(o) = -6 - o + 2 - 7 + 4*o**2 - o**3 + 15*o. Let r be l(6). Let w be (-4)/(-4)*0/r. Solve w*d = d - u + 7, 4*u - 12 = -4*d for d. -2 Let a(f) = -f**2 - 11*f - 3. Let m be a(-10). Suppose -m + 17 = 2*h. Solve 3*w - h = -5*v, 4*v = 2*w - w + 4 for w. 0 Suppose 5*h = 3*p - 20 - 16, 0 = -5*h - 3*p - 24. Let g be (h - 0)/(6/(-4)). Let r be 48/(-32)*g/(-3). Solve -4*d + 5*n + 32 = 0, -d = d - r*n - 14 for d. 3 Let h = -890 + 895. Solve r = -2, -h*i + 0*r + 18 = -4*r for i. 2 Let v(w) = -3*w**2 - 23*w + 10. Let g be v(-8). Solve 4*b + 2*q - 10 = 0, 2*b + g*b = 4*q + 28 for b. 4 Let k(v) = v**2 + 19*v + 5. Suppose 281 = 3*l - 175. Let b be (l/(-12))/(2/3). Let q be k(b). Solve -r = -3*n + 10, -4*r + 35 = q*n - 2*n for n. 5 Let l = 218 + -218. Solve -2*z + 2*q + 4 = l, 5*q - 30 = -3*z - 2*z for z. 4 Let o be -1*(-1 - 1*2). Let p be 15 - (-4)/(-3 - -1). Suppose 0 = -6*c - 1 + p. Solve 4*b + 4*n = 0, c*n = o*n for b. 0 Suppose 32*m = 35*m - 81. Suppose 3 + 12 = -5*k, 4*n = 5*k + m. Solve 3*a - 5*f = -0*f - 26, -2*a + 8 = n*f for a. -2 Suppose 5*l - j = 24, -l + 0*l + 3*j = -16. Let u be (-1)/4 - (-34)/8. Suppose -p + 6*p + 2*s = u, s = 4*p - 11. Solve p = 4*o - o + l*h, 3*o = -5*h + 1 for o. 2 Let c = -200 - -205. Solve 2*x - 4*x + c*q - 14 = 0, -5*q = -3*x - 16 for x. -2 Suppose -2*w + 14 = 4*j + 6, -5*w - 4*j + 20 = 0. Solve w*z = 5*d - 27, 2*d + 0*z + 2*z = 0 for d. 3 Suppose 0*w + 12 = 3*w + f, 12 = -4*f. Suppose 8*r - 5*r = -3, -4*r = -5*c + 14. Solve x - w*h = c*x, 5*x = -5*h for x. 0 Suppose 88 = 4*s - 0*s. Suppose -4*w - 1 = 7. Let p be (s + 8)/((-4)/w). Solve -c - 3*n = -p, -5*c + 4 = -n - 7 for c. 3 Suppose -2*y - 8 = -6*y. Suppose -b - 5*u + 9 = 0, -3*b + 2*u = u - 11. Let z be -30*(-1 - b/(-12)). Solve 4*t = r - z, y*r = r for t. -5 Suppose r - 6*r = 0. Let c(u) = -2*u + 30. Let f be c(r). Suppose -g - f = -3*g. Solve -5*n - 3 = d - 23, g = 2*n - d for n. 5 Suppose -3 = -3*s + 2*i + 12, -s + i = -6. Solve -6*v + 2*v = -b - 7, -s*v + 9 = 0 for b. 5 Let q be (-2 + -6 + 8)/(-3). Solve 3*u - 5*b = -25, -3*u - 2*u - 2*b - 21 = q for u. -5 Suppose -2 = 6*r - 74. Let t be r/(-3) - -2 - -5. Solve -5*v + 7*w = t*w - 40, 3*v + 3*w = -3 for v. 4 Let p = 232 - 218. Solve 9 = 3*n + 4*w, -p = 5*n - 2*w - w for n. -1 Let j be (-4)/(-6)*(168 + -165). Solve 10 = -j*h - 4*b - b, 0 = 4*h + 3*b - 8 for h. 5 Suppose -4*i + 2 = 5*a + 11, 4*i + a = 11. Solve 4*n = -3*q - n - 10, -4*q = i*n + 16 for q. -5 Let w(j) = -4*j**3 - 8*j**2 - 8*j - 8. Let x(s) = s**3 + 1. Let d(h) = w(h) + 3*x(h). Let a be d(-7). Solve 0 = a*o - 8*b + 3*b + 29, -o + 3*b - 17 = 0 for o. -2 Let k = 8 - 5. Suppose 16*m + 18 = 10*m. Let x be 2 + (m - (-2 + 2))/(-1). Solve c + 10 = 4*g, k*g - g + 6 = -x*c for g. 2 Suppose -37*l + 28 = -32*l + c, -2*l - 3*c + 6 = 0. Solve -t - 2*q - 2 = 0, -3 = -2*t + l*q - 3*q for t. 0 Let h = -111 + 111. Solve 2*n - 5 = o, -n - 3*o + 0 + 20 = h for n. 5 Suppose -a = -3, 5*k + 36 = 2*a + 40. Solve -5*q = -i + 2, -q + 4 = 3*q + k*i for q. 0 Suppose 2 = l - 0*h - 5*h, 4 = 2*l + h. Let y be (-9)/l*(-16)/12. Solve -6*w + 3*p = -3*w + y, -p = 2*w + 7 for w. -3 Suppose 12 = 4*l - 5*m, -6 = -2*l + 4*m - 6*m. Suppose l*i = 5*i + 2*i. Solve -h + 4*p + 20 = i, h = 3*p + 15 + 1 for h. 4 Let p be 9/15 - (-47)/5. Suppose -2 = 2*j - 10. Solve 4*z + 2*l = -2 + 12, j*z - 2*l = -p for z. 0 Let h = 550 - 530. Solve -2*l + 3*r - 17 = 0, -5*l + 2*r + r = h for l. -1 Suppose -15 = 4*i - 5*i. Solve 5*x + 3*l - 5 = 0, 0 = 4*l - i - 5 for x. -2 Let l be 17 - (-2 - ((-2)/(-2) - 5)). Let m be (-80)/l*(-2 - (-2)/4). Let p be (3/(-6))/(1/(-8)). Solve p*n - j - j = -m, 10 = -5*n + 2*j for n. -2 Let y = -27 - -32. Solve -f - 2*k - 14 = 0, -2*f - y*k = 19 + 14 for f. -4 Suppose 132 = 150*d - 139*d. Solve 9 = h - 3*t, -3*h - 6*t = -10*t - d for h. 0 Let u be (55/(-44))/((-2)/56). Solve -u = -5*h - 4*i, -h - 3*i = 4*h - 30 for h. 3 Let v = -37 + -9. Let b = v + 48. Solve -2*f - b = 0, 3*f + 13 = -3*g - f for g. -3 Let n(r) = -r**2 - 10*r - 21. Let v be n(-7). Solve 0 = 4*z + 2*c + c + 26, -3*z - 4*c - 23 = v for z. -5 Suppose 0 = -18*k + 27 + 27. Solve -3*l + 2*l = -k*o + 8, 4*o + 5*l + 2 = 0 for o. 2 Let z(r) = r**3 + 2*r**2 - 17*r - 6. Let y be z(-5). Solve -o + 14 = -b + y*o, -10 = 2*b - 4*o for b. 1 Suppose -3*m - 35 = x, x + 0*m - 4*m + 7 = 0. Let v = 268 - 286. Let g = v - x. Solve -q + 6 = -k - 3*k, -g*q + k - 8 = 0 for q. -2 Let g(q) = -4*q - 4. Let w be g(-6). Suppose -5*h = 3*k - 17, 2*k + 2*k = -4*h + w. Suppose -s - k*s = 0. Solve 4*z - 6 - 8 = 5*d, 5*d - 5*z + 15 = s for d. -2 Let t = -235 + 240. Solve 4*x + 22 = -t*w, -3*x - 17 = -0*w + 4*w for w. -2 Let i(w) = -w**2 + 3*w - 2. Let m be i(3). Let u = 10 - 12. Let n be ((-16)/m)/(u/(-1)). Solve -4*k + n*o - 10 = -22, -16 = -3*k - 4*o for k. 4 Let d = -136 + 139. Solve 3*f - 4*a = -f, -4*f - d = -5*a for f. 3 Let y be 8/10*5 - (-6)/(-3). Solve -y*w + 5*p = -16, -p = -3*w - 6 + 4 for w. -2 Let h(n) = n**2 - 5*n - 31. Let l be h(9). Solve 3*i = l*c - 9, 0 = -4*c + c - i - 3 for c. 0 Let p = -1108 + 1112. Solve 0 = 5*n - 3*h - 13, p*n + 4*h = -n + 6 for n. 2 Let c(q) = -4*q**3 - q - 1. Let o be c(-1). Suppose o*l = 8 + 12. Solve 10 = -l*z + 4*m, 0 = -5*z + m + m for z. 2 Suppose -3*m + 11 = -10. Suppose -7*v + 14 = -m. Solve 5*l + v*u - 11 = 5*u, -4*l + 3*u + 6 = 0 for l. 3 Suppose 23 = 2*m - 3*i, -2*m + 5*i - 6 = -m. Suppose 3*t = 0, 4*q - 78*t = -80*t + 24. Suppose -2*v = -1 - 5. Solve -4*n + v*p + m = 0, -n + p + q = -0*p for n. 1 Let c(v) = v**3 + 10*v**2 + v + 15. Let m = 40 + -50. Let z be c(m). Solve 3*o - u = 11, o + 4 = z*u + 3 for o. 4 Suppose c - 749 = 5*g - 192, 4*g + 445 = c. Let m = 116 + g. Solve -4*n = -5*f + 13, -f = -m*n - 0 - 9 for f. 1 Suppose -2 = -4*g + o, 3*o - 11 = -3*g - 2*g. Suppose -8*s + 21*s = 130. Suppose 3*d + g - s = 0. Solve -3*n = -d*p + 9, 5*n = p + 3 + 2 for p. 5 Suppose 0 = -2*u + 4*u + q - 1, 4*u + 3*q = -1. Solve -3*y + 7*f = 11*f + 31, u*y - 5*f - 10 = 0 for y. -5 Suppose 52 = 3*y + 2*o, 0 = y + 4*y + 3*o - 88. Solve 4*a - 15 = 9*a + 5*z, 0 = -5*a + 2*z + y for a. 2 Let r(q) = -15*q - 71. Let g be r(-5). Solve 2*l + 6*m = 2*m - g, 14 = 4*l - 3*m for l. 2 Suppose 0 = -2*f + 3*f + 2. Let k be ((-5)/(-2) + f)*8. Suppose 0 = 36*a - 32*a - 8. Solve k*r = -4*v + 2*v, -r + a*v = 10 for r. -2 Suppose 0*j + 4*j = 5*s - 4, 3*s = 3*j. Solve j*r = 5*y - 20, -5*y = 3*r - 0*y - 20 for r. 0 Let d = -110 + 114. Solve d*m + 2*z
{ "pile_set_name": "DM Mathematics" }
*k + 13. Let z(w) = -5*n(w) - 3*q(w). What is 3*y(i) + 2*z(i)? -3*i - 4 Let c(x) be the first derivative of -75 - 5/4*x**4 - 3*x**2 + 2*x**3 + 8*x. Let w(p) = 5*p**3 - 7*p**2 + 7*p - 9. Determine 7*c(z) + 6*w(z). -5*z**3 + 2 Let r(x) = -5483*x**2 - 297*x + 6. Let v(u) = 5483*u**2 + 347*u - 7. Give 7*r(w) + 6*v(w). -5483*w**2 + 3*w Let u be 5/20 - 1346/8. Let m = u + 165. Let z(b) = b**3. Let d(w) = -2*w**3. Let n(t) = -t**2 + 2*t + 1. Let l be n(-1). Determine l*z(k) + m*d(k). 4*k**3 Let h(z) = 2*z**2 + 31*z - 18. Let n be h(-16). Let b(i) = 50*i - 35. Let t(y) = -3*y + 2. Let f(x) = 235*x + 200. Let r be f(-1). What is n*b(g) + r*t(g)? 5*g Let y(p) = 37 - 39 - 2258*p + 2258*p - p**3. Let t(g) = 6*g**3 + 11. Suppose -7*o + 5*o + 5*v = -37, o + 3*v - 2 = 0. What is o*y(h) + 2*t(h)? h**3 Let n(k) = -653*k - 7. Let d(b) = -4584*b - 50. Determine -2*d(g) + 15*n(g). -627*g - 5 Let k = -8 + 17. Let g(x) = x**2 + 29*x + 191. Let h be g(-19). Let p(b) = 21*b + 9. Let m(s) = -s - 1. Determine h*p(z) + k*m(z). 12*z Let d(u) = -117*u**2 - 49*u + 11. Let b(q) = -39*q**2 - 16*q + 4. Give -11*b(r) + 4*d(r). -39*r**2 - 20*r Let x(k) be the first derivative of 9*k**2/2 - 5*k + 24. Let c(f) = -8*f + 31 + 31 - 91 + 33. Calculate 6*c(d) + 5*x(d). -3*d - 1 Let q(s) = -5*s - 2171. Let b(w) = 4*w + 2167. Give 6*b(o) + 5*q(o). -o + 2147 Let m(q) = -22*q**3 + 5*q**2 + 5*q. Let a(j) = 11*j**3 - 3*j**2 - 3*j. Let o be -3*((-1)/(-3) + 3). Calculate o*a(c) - 6*m(c). 22*c**3 Let a(w) be the first derivative of w**4/2 - 13*w**3/3 + 5*w**2 - 13*w + 5357. Let v(b) = -b**3 + 6*b**2 - 5*b + 6. Calculate -6*a(i) - 13*v(i). i**3 + 5*i Let g(o) be the second derivative of -3*o**4/4 - 2*o**3/3 - 2*o**2 + 30*o + 18. Let w(r) = -r**2 + r + 1. Determine -g(a) - 4*w(a). 13*a**2 Let y(k) = 50*k + 370. Let s(i) = -16*i - 116. Calculate 10*s(h) + 3*y(h). -10*h - 50 Let j(r) = -4*r. Let i(o) be the first derivative of o**4/6 + 5*o**2/2 + 3*o - 27. Let v(s) be the second derivative of i(s). What is 3*j(l) + 2*v(l)? -4*l Let i(u) = -13*u**3 - 38*u**2 + 9*u - 412. Let o(w) = -4*w**3 - 12*w**2 + 3*w - 137. Determine 6*i(n) - 19*o(n). -2*n**3 - 3*n + 131 Let b(i) = -2040*i + 7. Let q(t) = 15*t - 1. Give -b(m) - 6*q(m). 1950*m - 1 Let c(x) = 54*x**2 + 1245*x**2 + 405*x**2 + 17*x - 31*x - 57*x. Let z(p) = 71*p**2 - 3*p. Calculate 3*c(a) - 71*z(a). 71*a**2 Let d(v) = -36*v**3 - 57*v**2 - 19*v - 6. Let t(o) = -36*o**3 - 49*o**2 - 16*o - 5. What is -5*d(y) + 6*t(y)? -36*y**3 - 9*y**2 - y Let g(c) = -3 + 6 + 3*c**3 + 2*c**3 - c**3. Let v be -1*(-2)/(0 + 2). Suppose 0 = -j - v - 2. Let o(f) = -7*f**3 - 5. Determine j*o(m) - 5*g(m). m**3 Let z(d) = 4*d**2 + 3*d. Suppose -48*j - 64 + 160 = 0. Suppose -12 = v - 11. Let l(s) = s**2 + s + 1. Give j*l(t) + v*z(t). -2*t**2 - t + 2 Let p(d) = d + 6. Let v(k) be the third derivative of 0*k - 17*k**2 - 4 - 5/6*k**3. Give -5*p(q) - 6*v(q). -5*q Let o(s) = 3*s**2. Let r = -2 - -7. Let h(d) be the third derivative of -7*d**5/60 - 342*d**2. Determine r*o(p) + 2*h(p). p**2 Let t(n) = n**3 - n**2 + 1. Let i(w) be the third derivative of -1/15*w**5 + 0*w**3 + 0 + 1/40*w**6 + 0*w**4 + 0*w + 6*w**2. Give i(k) - 2*t(k). k**3 - 2*k**2 - 2 Let v(p) be the second derivative of -p**3/3 - 3*p**2/2 + 185*p. Let l(n) = -6*n - 10. Give 2*l(r) - 7*v(r). 2*r + 1 Suppose -13*t + 14 = -90. Let a(s) = -2*s + 8*s - t*s - 2. Suppose -18 = -4*f - 10. Let o(y) = y + 1. Calculate f*a(c) + 6*o(c). 2*c + 2 Let l(p) = 57*p**2 - 6. Suppose 0 = 248*o + 600 - 33 + 921. Let x(h) = -2737*h**2 + 289. Give o*x(j) - 289*l(j). -51*j**2 Let c(l) = 5*l**3 + 6*l**2 + 15*l + 6. Let h(a) = -6*a**3 - 7*a**2 - 16*a - 7. Suppose 14*x = -4*y + 9*x + 29, y - 5 = x. Give y*h(p) + 7*c(p). -p**3 + 9*p Let w(u) = -4*u**3 + 7*u - 7. Let y = 19673 + -19674. Let l(i) = i**3 - i + 1. Calculate y*w(t) - 6*l(t). -2*t**3 - t + 1 Let m(d) = 216*d**3 - d**2 - 46*d + 132. Let k(z) = 5*z**3 - z + 3. Let r(c) = 86*k(c) - 2*m(c). Let b(v) = 3*v**3 - 3*v**2 - 7*v + 7. What is -4*b(l) - 5*r(l)? -2*l**3 + 2*l**2 - 2*l + 2 Suppose -2*j + 42 - 64 = 4*x, -x = -j + 1. Let h(g) = -g + 1. Let y(o) = 2*o - 2. Let w(u) = -u. Let s(d) = -w(d) + y(d). What is x*h(t) - 2*s(t)? -2*t Let a(y) be the first derivative of -31*y**2/2 + 13*y + 7003. Let v(p) be the third derivative of 7*p**4/8 - 3*p**3/2 + p**2. Calculate -5*a(i) - 7*v(i). 8*i - 2 Let u(d) = -5*d**2 + 40*d - 54. Let i be u(6). Let n(m) = -2*m**2 - 8*m - 19. Let b(r) = -r - 1. Determine i*b(j) - n(j). 2*j**2 + 2*j + 13 Let k(x) = -5*x**3 + 3*x + 3. Let q(h) = 21*h**3 - 13*h - 13. Let o be 536/670 + (-51)/(-5). Let b = -28 - -13. Let i = o - b. What is i*k(z) + 6*q(z)? -4*z**3 Let z(n) = 6 + 442*n - 878*n + 437*n. Let g(i) = -4*i - 17. Determine 3*g(o) + 8*z(o). -4*o - 3 Suppose 4*h + 20 = 5*r, 2*r - 161 = 4*h - 141. Let q(d) = d**2 + 2*d + 20. Let l(p) = 3*p**2 + 4*p + 41. What is h*q(b) + 2*l(b)? b**2 - 2*b - 18 Let s(y) = 10*y**3 + 23*y**2 + 2*y - 28. Let b(c) = -3*c**3 - 5*c**2. Give 4*b(o) + s(o). -2*o**3 + 3*o**2 + 2*o - 28 Let x = -28105 + 28111. Let d(o) = -35*o**2 - 14*o. Let h(z) = 12*z**2 + 5*z. Determine x*d(t) + 17*h(t). -6*t**2 + t Let n(t) = -1. Let l(z) = z - 5. Let o(c) = -l(c) + 6*n(c). Let p(h) = -12*h - 4. Let s(b) = 2*b**3 - 19*b**2 - 744*b + 6780. Let m be s(9). Give m*o(a) - p(a). 9*a + 1 Let y(z) = 3867*z**2 - 15*z + 16. Let c(w) = 2*w**2 + 3*w - 4. What is -4*c(d) - y(d)? -3875*d**2 + 3*d Let p(y) = -47*y - 481. Let m(o) = -12*o - 121. Calculate 15*m(b) - 4*p(b). 8*b + 109 Let r(c) = 53*c - 6. Let h(m) be the second derivative of 3*m**3 - m**2 - 6*m - 47. What is -11*h(b) + 4*r(b)? 14*b - 2 Let x(o) = 1643*o**3 + 4*o**2 - 4*o - 4. Let l(r) = -3325426*r**3 - 8095*r**2 + 8095*r + 8095. Give 4*l(p) + 8095*x(p). -1619*p**3 Suppose 0 = -k + 16 - 7. Let m(a) = a - 1. Let s(f) = -2*f + 6. Let q(i) = 24*i - 67. Let c(h) = -6*q(h) - 66*s(h). Determine k*m(y) + c(y). -3*y - 3 Let n(i) = i + 2. Let p(z) = -2*z - 8. Let b(r) = -5*n(r) - p(r). Let v(u) = -2*u - 2 + 3*u - 1 - 5*u + u. Determine -5*b(l) + 4*v(l). 3*l - 2 Let q(o) = 16*o + 3. Let y be 4 + (-5)/(-10) + ((-19)/2)/(-19). Let n(b) = 15*b + 3. Determine y*n(z) - 4*q(z). 11*z + 3 Let s(g) = -6*g**3 - 3*g**2 - 8*g - 55. Let c(n) = -7*n**3 - 3*n**2 - 10*n - 54. Calculate -4*c(j) + 5*s(j). -2*j**3 - 3*j**2 - 59 Let y(v) = 23*v - 23. Suppose j = -5*g - 11, 0 = 5*g + 7*j + 129 - 82. Let n(d) = -d - 1. What is g*y(t) + 23*n(t)? -46*t Let m(l) = l**2 + 1. Let d(v) = -2*v - 3. Let b(r) = 17*r - 174. Let x be b(10). Determine x*m(f) - d(f). -4*f**2 + 2*f - 1 Let l(o) = 10*o**2 - 58*o - 2. Let p(v) = -3*v**2 + 6*v. Calculate l(f) + 3*p(f). f**2 - 40*f - 2 Let q(d) be the first derivative of -d**2/2 - 765. Let f(t) = 22*t**2 - 11*t. Calculate f(s) - 11*q(s). 22*s**2 Let d be (-28 - (-9 + 6))*1. Let c(g) = g**3 + 26*g**2 + 25*g + 1. Let b be c(d). Let t(v) = -4*v**2 + 4*v - 4. Let r(k) = k**2 + k - 1. Give b*t(l) - 4*r(l). -8*l**2 Suppose -2*j - 6 = 0, 0 = -5*n - 4*j - j - 10. Let s(h) = h. Let k(p) = 209*p - 23. Let x(v) = 79*v - 8. Let d(a) = -3*k(a) + 8*x(a). What is n*d(t) - 4*s(t)? t + 5 Let d(s) = -s - 175. Let f(t) = -t - 186. Calculate -3*d(g) + 2*f(g). g + 153 Let r(c) = -42*c + 156. Let d(y) = -38*y + 159. What is -3*d(x) + 2*r(x)? 30*x - 165 Suppose 3*p - 2*f - 4 = -5, 3*f = 2*p - 1. Let b be (-1)/(3/(-102)*p). Let l = -41 - b. Let m(c) = -3*c + 2. Let y(k) = 10*k - 5. What is l*m(t) - 2*y(t)? t - 4 Let r(j) = 22*j - 4860. Let n(g) = -14*g + 3239. Determine -8*n(c) - 5*r(c). 2*c - 1612 Let t(g) = 1184*g**3 + 15*g**2 - 5*g. Let l(q) = -4737*q**3 - 63*q**2 + 21*q. Give -5*l(m) - 21*t(m). -1179*m**3 Let l(p) be the second derivative of -7*p**3/3 - 35*p**2/2 + 860*p. Let v(g) = 1. Determine -l(a) - 35*v(a). 14*a Let s(c) = 5*c**2 - 5*c. Suppose -130 - 162 = 4*t. Let f be (-10)/75*-1 + t/(-15). Let a(z) = -3*z**2 + 2*z. What is f*a(d) + 2*s(d)? -5*d**2 Let r(z) = -14*z**2 + 8*z - 3. Let c be 8/40 - 41/5. Let v(p) = -4007 - 3*p - 4003 + 8011 + 8*p**2 - 3*p**2. Determine c*v(q) - 3*r(q). 2*q**2 + 1 Let n(r) = -r - 4. Suppose 0 = -71*z + 25*z + 138. Let d be (3/2)/((-12)/(-16)). Suppose 5*x = 4*x - d. Let l(s) = -3. What is x*n(t) + z*l(t)? 2*t - 1 Let m(w) = 9*w**2 - 3*w - 626. Let t(s) = -12*s**2 + 4*s + 626. What
{ "pile_set_name": "DM Mathematics" }
factor of 58 and t? 29 Suppose c + 5 = -2*b + b, -4*b + 2*c = 2. Let v be (11/(-1))/(b/14). Suppose -10 = -4*y + 34. What is the greatest common divisor of v and y? 11 Suppose -24 = -5*r + r. Let f = -6 + r. Suppose -x = -2*j - 116, f = -3*x + 4*j + 133 + 207. Calculate the greatest common factor of x and 12. 12 Let k = -2 - -56. Calculate the highest common divisor of 6 and k. 6 Suppose 2*i - 3*a - 31 = 0, 4 = 2*a + 14. What is the highest common divisor of 24 and i? 8 Let x(g) = -g**3 + 14*g**2 - 3*g - 1. Let o be x(5). Calculate the highest common divisor of 19 and o. 19 Let g be -2 - (-1 - (-23 + -1)). Let y = 39 + g. Let o = -22 - -29. What is the greatest common factor of o and y? 7 Suppose -y + 2*y = 0. Suppose y = 5*p - 0*p. Suppose -2*h + 64 = 3*h - 2*l, p = -5*h - l + 58. What is the greatest common divisor of 96 and h? 12 Suppose -54 + 8 = -2*o. Suppose 5*a - d = o, -10 = -4*a + 3*d - 5*d. What is the highest common factor of 2 and a? 2 Let i(c) = c**3 - 7*c**2 - 3*c + 4. Let u be i(6). Let h = u - -130. Suppose -h = -o - o. What is the greatest common divisor of 16 and o? 8 Let l be 0 - 0/(3 - 6). Suppose l = 2*p - 4*i, 0 = -2*i + i + 3. Calculate the greatest common divisor of p and 48. 6 Let q(s) = s**2 - 6*s - 8. Suppose -2*j - 2*b - 16 - 4 = 0, 2*b + 26 = -3*j. Let p be q(j). Calculate the highest common divisor of p and 16. 16 Let k be (-13 - -19) + 10/(-2). Calculate the highest common factor of k and 5. 1 Let u be (-68)/(-8) + (-1)/2. Let n(f) = 2*f**3 - 2*f**2 - f - 2. Let m be n(2). Let c = u - m. What is the highest common divisor of 4 and c? 4 Suppose 0 = 5*r + 9 - 29. Let y be r/16 + 742/8. Suppose 2*b - 14 = -4*p, 4*b - 6*p - y = -p. Calculate the greatest common factor of 51 and b. 17 Let k = 16 - 4. Suppose 0 = 5*f + k - 32. Suppose -b - 3*d = -7, -8*b + 38 = -f*b + 2*d. What is the highest common divisor of 30 and b? 10 Suppose -t + 756 = 4*t + 2*w, -4*w + 12 = 0. What is the greatest common factor of t and 60? 30 Let s be (-1 - (-2 + 3))/(-1). Let v = s - -3. Suppose g - v = 28. Calculate the highest common factor of g and 11. 11 Let v = -108 - -218. What is the greatest common divisor of 22 and v? 22 Suppose -119 - 9 = -4*h. What is the highest common divisor of 16 and h? 16 Let i = 36 + -16. Suppose -2*v = i + 16. Let f be v/((3/2)/(-1)). What is the highest common factor of 8 and f? 4 Let x be (-51)/(-2)*(-4)/(-6). Suppose 3*r + 3*k - 7*k - 59 = 0, 2*r + 5*k = 24. Let o be (r/(-3))/(1/(-24)). Calculate the highest common factor of o and x. 17 Suppose -2*t - 3 = u - 26, 5*t - 95 = 5*u. Calculate the greatest common divisor of 7 and t. 7 Suppose 0 = y - 5*j + 13, 0 = 4*y - 3*j + 7 - 40. Suppose -324 = -4*s + s. What is the greatest common factor of y and s? 12 Let i(s) = -6*s**3 + 5*s**2 + 2. Let y(f) = -7*f**3 + 6*f**2 + 3. Let o(k) = -6*i(k) + 5*y(k). Let l be o(3). Calculate the highest common factor of 15 and l. 15 Suppose 0 = -2*a + m - 3, -3*m = 3*a - 7*m + 2. Let i be (-56)/(-1) - (-3 - a). Calculate the greatest common divisor of i and 19. 19 Suppose -34 = 5*y + 4*u - u, 2*u + 28 = -4*y. Let n(t) = -t + 8. Let l be n(y). Let z be (3 - (-471)/3)/1. Calculate the greatest common factor of z and l. 16 Let n be 60/(-14) - (-4)/14. Let r(i) = -29*i + 5. Let a be r(n). What is the greatest common divisor of a and 11? 11 Suppose o = 2*o. Suppose o = s - 4*s + 108. Calculate the highest common factor of 12 and s. 12 Let j(h) = h**2 + 2*h + 4. Let l be j(-4). What is the greatest common divisor of 8 and l? 4 Let q(b) = b**2 - 15*b - 11. Let s be q(16). Calculate the highest common factor of 40 and s. 5 Suppose 5*c - 2*f - 108 = 102, -3*f = 3*c - 105. Calculate the greatest common factor of c and 5. 5 Suppose -6*o + 2 = -16. What is the greatest common divisor of 4 and o? 1 Suppose 2*v = 5*v - 3. Calculate the highest common factor of 4 and v. 1 Suppose 664 = 2*w - 3*h, -2*w + 350 = 4*h - 300. Let l = w + -213. Let g = 10 + l. What is the highest common factor of g and 14? 14 Suppose -2 = -r - 4*r - 3*a, 0 = -3*a - 3. Let u = -2 - r. Let z be (-110)/(-4) - u/6. What is the highest common divisor of 42 and z? 14 Suppose -336 = 6*t - 18*t. Calculate the highest common factor of t and 14. 14 Suppose 2 = -4*z - 6. Let d = z + 10. Let n = -104 - -168. Calculate the highest common divisor of d and n. 8 Let v(h) = -4*h + 26*h + 4 - 5. Let u be v(3). What is the greatest common divisor of 26 and u? 13 Let c(j) = 7*j + 0*j + 0 - 1 + 4*j. Let d = 8 - 5. Let s be c(d). What is the greatest common divisor of s and 48? 16 Let w = -12 - -20. Suppose h + h - w = 0. Suppose 0 = h*v, 2*v = 2*z + 3*v - 60. What is the greatest common factor of z and 3? 3 Let t = 8 - 1. Suppose 0*z + r = 4*z - 11, 0 = 2*z + 4*r - 28. Suppose 36 = 3*w - 2*k, -z*k = w - 13 - 13. Calculate the greatest common factor of t and w. 7 Suppose -2*v = 44 - 132. Suppose i - 6*i + 320 = 0. Suppose 4*k = v + i. Calculate the greatest common factor of 9 and k. 9 Let j = 27 - 16. Calculate the highest common divisor of 44 and j. 11 Let n(r) be the first derivative of 11*r**2/2 - 3*r + 1. Let q(z) = -z - 6. Let p be q(-8). Let c be n(p). Calculate the highest common divisor of c and 209. 19 Let r be 50/((-2 - -1) + 2). Suppose s = 5*k + 2, 2*s - 4*k - r = -s. Suppose 0 = -3*v + 238 - s. What is the highest common divisor of 8 and v? 8 Let l be 5 + 1/(-1) + 0. Let y be -1*(-1)/(2/l). Suppose -4*h + y = -18. Calculate the greatest common divisor of 5 and h. 5 Suppose -4*p + 72 = 4*z, 5*p - 51 = -5*z + 3*z. Suppose -3*n = 3*m - 288, -2*n + 0*n + 2*m = -172. Calculate the greatest common factor of z and n. 13 Suppose 11*p - 4*a - 118 = 8*p, 4*p + 2*a - 172 = 0. Calculate the highest common divisor of 63 and p. 21 Suppose -5*c + 15 = -2*v - 17, 2*v = 4*c - 26. What is the highest common factor of c and 54? 6 Suppose 3*v - 12 = 2*v. Suppose -2*m + 0*m = 10, 260 = -4*g - 4*m. Let u be (18/(-5))/(2/g). Calculate the greatest common divisor of u and v. 12 Let a = 6 - -2. Suppose -2*g - 4*q + 22 = a, 3*q + 49 = 2*g. What is the highest common factor of g and 102? 17 Suppose f - 3 = -5*c, 3*f + 2*c - 1 = 8. Suppose f*l + 0*l + 9 = 0, -4*l = 4*g - 372. What is the highest common divisor of g and 12? 12 Let d = 101 - 39. Let m = d + -17. Calculate the highest common divisor of m and 15. 15 Let g = 14 - 5. Let p(o) = 72*o. Let x be p(1). What is the highest common factor of x and g? 9 Suppose 0 = p - 3*w - 624, 0*p + 4*p = -2*w + 2468. Suppose 5*n = 382 + p. What is the greatest common divisor of n and 25? 25 Let a be 14*((-28)/(-8) + -3). What is the highest common factor of a and 63? 7 Let r = -2 + 11. Let g = 24 - r. Let x = 77 + -47. Calculate the greatest common divisor of x and g. 15 Let c(r) = 3*r**2 - 15*r + 22. Let q be c(9). What is the greatest common divisor of 26 and q? 26 Suppose 4*b + 2 + 6 = 0, -4*b + 4 = 3*t. Suppose -q + 5 = -3*a, 0 = -3*q - 4*a - 4 - 7. Let j = q + 2. Calculate the highest common factor of j and t. 1 Let k = -255 - -381. Suppose -3*x - 219 = 3*g - 0*x, -2*g - 162 = -2*x. Let i = k + g. Calculate the greatest common divisor of i and 7. 7 Let r be 0 + 0*(-1)/3. Let i = r + -4. Let c be ((-8)/i)/(2/22). What is the highest common divisor of c and 88? 22 Let w be 4/(-10) - 368/(-20). Calculate the highest common divisor of 18 and w. 18 Suppose 23 = 3*g + 2. Let s(t) = -45*t + 2. Let h be s(-2). Suppose h = 3*j + 8. What is the greatest common factor of g and j? 7 Suppose 9 = -2*w - t, w - 4*w - 2*t = 16. Let r be w/(-7) - (-124)/7. Let n be 180/(-2)*(-2)/4. What is the greatest common divisor of n and r? 9 Suppose 22*j - 128 = 20*j. Calculate the highest common factor of 16 and j. 16 Let z = -17 + 59. Calculate the greatest common divisor of 42 and z. 42 Let d = -25 - -17. Let r be d/(-5)*(9 - -1). What is the highest common divisor of r and 2? 2 Suppose -8 + 4 = -s. Calculate the highest common divisor of 20 and s. 4 Let w = -121 - -123. What is the highest common factor of 10 and w? 2 Let l(r) = -2*r**3 + 2*r + 1 + r + 0 - r**2. Let i be l(-2). What is the greatest common divisor of 77 and i? 7 Suppose 0 = 2*v - 8, -3*v = -5*d + v - 1. Let y(o) = o**3 - 3*o - 4. Let u be y(d). What is the highest common divisor of 56 and u? 14 Suppose 4*p +
{ "pile_set_name": "DM Mathematics" }
cking 1 v and 1 s? 1/9 Three letters picked without replacement from {e: 2, y: 1, t: 4, i: 1}. Give prob of picking 2 e and 1 i. 1/56 Calculate prob of picking 2 d, 1 o, and 1 b when four letters picked without replacement from mbdod. 1/5 Four letters picked without replacement from sxssyyssssyyyy. Give prob of picking 3 s and 1 x. 5/143 What is prob of picking 1 a and 1 z when two letters picked without replacement from {n: 2, d: 2, s: 4, a: 1, z: 1, v: 2}? 1/66 Three letters picked without replacement from {e: 8, v: 2, h: 1, f: 5}. What is prob of picking 1 e and 2 v? 1/70 Three letters picked without replacement from {j: 5, r: 5}. What is prob of picking 1 j and 2 r? 5/12 Calculate prob of picking 1 o, 1 y, and 2 s when four letters picked without replacement from sibbsoyybqqoibsy. 9/910 Two letters picked without replacement from hhhhhhhfhfhhhhfhhhhh. What is prob of picking 2 h? 68/95 What is prob of picking 1 b and 3 i when four letters picked without replacement from biiiiiib? 4/7 Two letters picked without replacement from {a: 5, r: 1, p: 5}. Give prob of picking 1 p and 1 a. 5/11 Calculate prob of picking 1 v and 3 o when four letters picked without replacement from oxiwoiiiiwwivvotvw. 1/1020 Calculate prob of picking 1 z, 1 t, and 1 d when three letters picked without replacement from {u: 4, d: 1, z: 3, t: 3}. 3/55 Calculate prob of picking 1 x and 1 p when two letters picked without replacement from pxjuxku. 2/21 Three letters picked without replacement from {x: 4, f: 3, j: 1, p: 4, b: 1, a: 7}. What is prob of picking 1 a, 1 p, and 1 j? 7/285 Two letters picked without replacement from mysylfg. What is prob of picking 1 m and 1 s? 1/21 Two letters picked without replacement from {n: 2, i: 6, r: 9}. What is prob of picking 1 i and 1 r? 27/68 Two letters picked without replacement from clcjcqcccqcqqqcqcqjc. What is prob of picking 2 q? 21/190 What is prob of picking 2 x and 2 h when four letters picked without replacement from {x: 7, h: 6}? 63/143 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ewzzzwjwjlljjjlzze. 10/153 Four letters picked without replacement from {a: 1, c: 1, n: 2, g: 4, l: 11, r: 1}. What is prob of picking 1 n and 3 g? 8/4845 What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 2, z: 6, g: 5}? 10/143 What is prob of picking 2 q and 1 v when three letters picked without replacement from vvqqvvj? 4/35 What is prob of picking 1 d and 2 e when three letters picked without replacement from {d: 1, e: 3, s: 1, f: 1, x: 1}? 3/35 Calculate prob of picking 3 r when three letters picked without replacement from rxhixirxxirrixrxxi. 5/408 Four letters picked without replacement from {i: 10, r: 9}. Give prob of picking 4 i. 35/646 Two letters picked without replacement from gygtit. What is prob of picking 1 y and 1 t? 2/15 What is prob of picking 1 n, 1 w, and 1 m when three letters picked without replacement from wlmmlpvvn? 1/42 Calculate prob of picking 2 l, 1 i, and 1 h when four letters picked without replacement from chclsclccchsih. 3/1001 Calculate prob of picking 1 n, 2 u, and 1 h when four letters picked without replacement from uetuhuuhqhtnu. 6/143 Three letters picked without replacement from {q: 1, l: 2, w: 7, u: 3, g: 4}. What is prob of picking 3 g? 1/170 Three letters picked without replacement from cmjjhhchsjjscns. What is prob of picking 1 n, 1 c, and 1 m? 3/455 What is prob of picking 3 o and 1 p when four letters picked without replacement from {o: 3, r: 3, p: 2}? 1/35 What is prob of picking 3 p when three letters picked without replacement from fpppoopoffopoooopp? 35/816 Three letters picked without replacement from {q: 2, y: 8, p: 1, k: 2, z: 6, f: 1}. What is prob of picking 1 z and 2 y? 14/95 Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {z: 5, l: 3, j: 3, g: 9}. 9/380 Two letters picked without replacement from pvvpvcvpppvvvppppp. What is prob of picking 1 c and 1 p? 10/153 Two letters picked without replacement from oouuooufiooou. Give prob of picking 1 o and 1 f. 7/78 Two letters picked without replacement from {t: 8, e: 2}. Give prob of picking 1 t and 1 e. 16/45 Three letters picked without replacement from {e: 1, i: 4, t: 3, f: 4, h: 1, k: 1}. Give prob of picking 3 t. 1/364 What is prob of picking 3 l and 1 b when four letters picked without replacement from {w: 8, h: 1, l: 4, t: 1, j: 1, b: 1}? 1/455 Two letters picked without replacement from {v: 1, l: 4, y: 2, h: 1}. Give prob of picking 1 v and 1 h. 1/28 Two letters picked without replacement from {y: 4, r: 2, a: 1, x: 1, q: 2, o: 4}. Give prob of picking 1 a and 1 o. 4/91 What is prob of picking 3 m when three letters picked without replacement from mmmnimimnmnnmmnmnn? 7/68 Two letters picked without replacement from ktxkktk. What is prob of picking 1 k and 1 x? 4/21 What is prob of picking 1 k and 2 i when three letters picked without replacement from {x: 6, i: 4, k: 2}? 3/55 Four letters picked without replacement from {a: 2, v: 9}. What is prob of picking 2 v and 2 a? 6/55 Three letters picked without replacement from vvvivvvviivvivivvv. What is prob of picking 3 i? 5/408 What is prob of picking 2 h when two letters picked without replacement from hnnnnnnnnnhnnnnnnn? 1/153 Four letters picked without replacement from {a: 2, j: 2, k: 4, e: 1, u: 5, t: 1}. Give prob of picking 1 a, 1 t, 1 j, and 1 k. 16/1365 Three letters picked without replacement from vvvpvp. Give prob of picking 3 v. 1/5 What is prob of picking 2 f, 1 x, and 1 u when four letters picked without replacement from {z: 1, u: 1, x: 1, e: 1, f: 2, s: 1}? 1/35 Three letters picked without replacement from {y: 3, w: 1}. Give prob of picking 1 w and 2 y. 3/4 Two letters picked without replacement from ddddicvdicdlddcdd. Give prob of picking 1 l and 1 d. 5/68 What is prob of picking 1 e, 1 a, and 2 l when four letters picked without replacement from leloaleeelaleoeao? 9/119 What is prob of picking 2 g when two letters picked without replacement from {g: 2, f: 3}? 1/10 Calculate prob of picking 2 n when two letters picked without replacement from zsssnszns. 1/36 What is prob of picking 1 m and 2 w when three letters picked without replacement from {j: 6, r: 2, w: 2, m: 8}? 1/102 Two letters picked without replacement from ggczxvy. Give prob of picking 1 v and 1 g. 2/21 Three letters picked without replacement from {c: 11, y: 1}. What is prob of picking 3 y? 0 What is prob of picking 1 t and 1 n when two letters picked without replacement from nrgtxxtttxgngnngrgn? 20/171 Two letters picked without replacement from exexe. What is prob of picking 2 e? 3/10 What is prob of picking 2 s and 1 f when three letters picked without replacement from {s: 4, f: 3}? 18/35 Four letters picked without replacement from {i: 5, a: 7}. What is prob of picking 2 a and 2 i? 14/33 Calculate prob of picking 1 i, 2 m, and 1 q when four letters picked without replacement from mqqqqqqmiqqmqgmmq. 5/119 Two letters picked without replacement from {r: 6, a: 3, n: 1, c: 8}. Give prob of picking 1 r and 1 a. 2/17 What is prob of picking 3 n and 1 m when four letters picked without replacement from nnnnmnnmnm? 1/2 Two letters picked without replacement from pznzzozpf. What is prob of picking 1 z and 1 p? 2/9 Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {d: 3, z: 4, i: 1, e: 2, q: 3, v: 2}. 4/35 Four letters picked without replacement from hlokk. Give prob of picking 2 o, 1 h, and 1 l. 0 What is prob of picking 1 c, 1 x, and 2 h when four letters picked without replacement from {h: 2, z: 4, x: 6, c: 3, f: 2}? 9/1190 Two letters picked without replacement from {n: 1, y: 4, s: 1, c: 1, q: 1}. What is prob of picking 1 s and 1 n? 1/28 Two letters picked without replacement from {i: 4, u: 7, k: 4}. Give prob of picking 2 i. 2/35 Two letters picked without replacement from {k: 9, z: 2, f: 3, d: 1, s: 1, n: 2}. Give prob of picking 1 k and 1 d. 1/17 What is prob of picking 1 l, 1 q, and 2 v when four letters picked without replacement from {a: 1, m: 4, q: 1, v: 2, l: 4, t: 2}? 4/1001 What is prob of picking 1 v and 3 o when four letters picked without replac
{ "pile_set_name": "DM Mathematics" }
: 6, t: 6}. 6/11 Four letters picked without replacement from {k: 3, i: 2}. Give prob of picking 1 i and 3 k. 2/5 Calculate prob of picking 1 s and 1 t when two letters picked without replacement from stzzst. 4/15 Four letters picked without replacement from {k: 5, u: 5, w: 3}. Give prob of picking 1 k, 2 w, and 1 u. 15/143 What is prob of picking 1 a and 1 e when two letters picked without replacement from eaawtw? 2/15 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {j: 1, s: 1, e: 2, w: 2, k: 1, d: 2}. 1/36 Three letters picked without replacement from {d: 3, o: 12, k: 1}. What is prob of picking 2 o and 1 k? 33/280 Three letters picked without replacement from hpkhpwpphhhwkoz. Give prob of picking 1 o, 1 k, and 1 w. 4/455 Two letters picked without replacement from ifpi. Give prob of picking 2 i. 1/6 Three letters picked without replacement from {c: 4, t: 5, a: 3}. What is prob of picking 2 c and 1 a? 9/110 Two letters picked without replacement from {f: 3, n: 6, a: 2, b: 2, j: 1, g: 1}. What is prob of picking 1 b and 1 g? 2/105 Two letters picked without replacement from {j: 2, l: 2, o: 2, v: 9, f: 2}. Give prob of picking 2 v. 9/34 Two letters picked without replacement from {g: 1, n: 3, m: 4, c: 3, p: 4, j: 5}. What is prob of picking 2 c? 3/190 Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {z: 4, d: 1, e: 1, m: 11, h: 2}. 2/969 What is prob of picking 1 k and 1 q when two letters picked without replacement from {r: 1, k: 1, a: 2, q: 2, i: 1, j: 1}? 1/14 Three letters picked without replacement from wxbyxzzbzz. What is prob of picking 2 z and 1 y? 1/20 What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 3, v: 7, h: 2, c: 1, r: 4, a: 1}? 2/51 What is prob of picking 2 r and 2 v when four letters picked without replacement from eereeeeeeevrev? 1/1001 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hmx. 1/3 Two letters picked without replacement from {k: 1, b: 2, s: 1, a: 4, z: 1}. What is prob of picking 1 a and 1 b? 2/9 What is prob of picking 2 u when two letters picked without replacement from bhuuuuuhbbuhhhhbhuuh? 14/95 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fttrfalr. 1/14 What is prob of picking 1 x, 1 u, and 2 v when four letters picked without replacement from iuiivviivxxiviiivv? 1/102 Three letters picked without replacement from jjjjzjjjjz. Give prob of picking 2 j and 1 z. 7/15 Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {h: 1, j: 7, k: 1, e: 1, a: 5}. 1/3 Two letters picked without replacement from yykkyykyykyky. Give prob of picking 1 k and 1 y. 20/39 What is prob of picking 1 m and 1 d when two letters picked without replacement from wdwdwddmdwdwddwdwdw? 10/171 Four letters picked without replacement from {a: 8, q: 3, h: 2, j: 5, p: 2}. What is prob of picking 1 j and 3 q? 1/969 Two letters picked without replacement from reee. What is prob of picking 1 r and 1 e? 1/2 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {f: 2, p: 2, l: 1}. 1/5 Three letters picked without replacement from nuhenfmu. What is prob of picking 1 u, 1 f, and 1 m? 1/28 What is prob of picking 4 l when four letters picked without replacement from {l: 7, z: 2, c: 4}? 7/143 Three letters picked without replacement from fbfffffififbq. Give prob of picking 1 q and 2 i. 1/286 Calculate prob of picking 1 k and 3 f when four letters picked without replacement from {f: 3, o: 3, e: 2, u: 3, k: 3}. 3/1001 Three letters picked without replacement from {k: 1, f: 3, y: 7, w: 2, i: 1}. Give prob of picking 1 k, 1 i, and 1 y. 1/52 Two letters picked without replacement from jjjjujudud. Give prob of picking 1 u and 1 j. 1/3 Two letters picked without replacement from {c: 1, r: 2}. Give prob of picking 2 r. 1/3 What is prob of picking 1 j, 1 d, and 2 g when four letters picked without replacement from {g: 4, j: 2, d: 5}? 2/11 What is prob of picking 1 s and 1 j when two letters picked without replacement from {l: 3, s: 2, j: 6, z: 1}? 2/11 Two letters picked without replacement from {h: 9, f: 8, n: 1, k: 1}. Give prob of picking 1 n and 1 k. 1/171 Calculate prob of picking 1 c, 1 m, and 1 x when three letters picked without replacement from kxkcxxqcqxcmqc. 4/91 Two letters picked without replacement from {s: 1, h: 1, d: 4, k: 2, b: 2, w: 2}. Give prob of picking 1 b and 1 h. 1/33 Calculate prob of picking 4 k when four letters picked without replacement from {x: 2, j: 4, l: 3, k: 8}. 1/34 What is prob of picking 2 u, 1 t, and 1 p when four letters picked without replacement from ptpujpjpupup? 2/55 What is prob of picking 4 j when four letters picked without replacement from {k: 11, j: 5}? 1/364 Calculate prob of picking 4 z when four letters picked without replacement from kzzzzk. 1/15 Two letters picked without replacement from lklt. Give prob of picking 1 l and 1 t. 1/3 Two letters picked without replacement from {h: 2, b: 1, x: 3, o: 1}. What is prob of picking 1 h and 1 x? 2/7 What is prob of picking 1 i, 2 v, and 1 o when four letters picked without replacement from ievvesiioi? 2/105 Four letters picked without replacement from {d: 10}. What is prob of picking 4 d? 1 What is prob of picking 1 l and 1 s when two letters picked without replacement from lslslsllll? 7/15 What is prob of picking 2 y and 2 i when four letters picked without replacement from yyiiiyyyyyiyyy? 270/1001 Calculate prob of picking 2 i when two letters picked without replacement from iizzizkzzzzdkkzfk. 3/136 Three letters picked without replacement from gsgsxswssxssix. Give prob of picking 1 i, 1 g, and 1 s. 1/26 What is prob of picking 3 w when three letters picked without replacement from wwxxxqw? 1/35 What is prob of picking 2 f and 1 h when three letters picked without replacement from hghhfqhggff? 4/55 Calculate prob of picking 1 p, 1 x, 1 f, and 1 d when four letters picked without replacement from ppppdfxfpxpfpf. 8/143 Three letters picked without replacement from {p: 4, a: 2, u: 1, j: 4, w: 3, h: 3}. Give prob of picking 1 a, 1 j, and 1 w. 3/85 What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 6, e: 1, h: 7}? 9/26 What is prob of picking 1 a, 1 x, and 2 s when four letters picked without replacement from psopppappwxopa? 0 Calculate prob of picking 3 t when three letters picked without replacement from {t: 6, i: 1, d: 7}. 5/91 Two letters picked without replacement from {a: 11, t: 3}. What is prob of picking 2 a? 55/91 Two letters picked without replacement from wysnsppr. What is prob of picking 1 y and 1 w? 1/28 Three letters picked without replacement from jjrjjrjrrjrjj. What is prob of picking 2 r and 1 j? 40/143 Calculate prob of picking 2 g when two letters picked without replacement from gggcggcgcggcgg. 45/91 What is prob of picking 1 d and 1 i when two letters picked without replacement from {p: 2, q: 3, d: 1, i: 3, c: 1, u: 2}? 1/22 Calculate prob of picking 2 e when two letters picked without replacement from {y: 2, b: 3, g: 2, e: 2}. 1/36 What is prob of picking 2 l and 1 o when three letters picked without replacement from ouollooullluo? 25/143 What is prob of picking 4 m when four letters picked without replacement from {p: 2, t: 5, m: 7, h: 4}? 7/612 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {t: 6, u: 4, c: 7}. 3/17 Calculate prob of picking 3 o and 1 f when four letters picked without replacement from fofofof. 4/35 Two letters picked without replacement from {n: 3, r: 3}. What is prob of picking 2 r? 1/5 Calculate prob of picking 2 g and 1 w when three letters picked without replacement from wggwggwggggggggggw. 91/204 Calculate prob of picking 1 h, 1 d, and 1 k when three letters picked without replacement from {r: 1, h: 2, d: 2, k: 2, t: 3, e: 4}. 2/91 Two letters picked without replacement from pqeeneeepnefnese. Give prob of picking 1 f and 1 q. 1/120 Calculate prob of picking 2 f when two letters picked without replacement from fiiiiifififiiiiifiii. 1/19 Calculate prob of picking 2 a when two letters pi
{ "pile_set_name": "DM Mathematics" }
w - 2 + 3*w**2) as s*w + u*w**2 + f and give s. 69 Rearrange (1 + 0 - 2)*(67 + 76 - 89)*(2*w - 3*w - w) to o + b*w and give b. 108 Express -a**2 - 7738 + 3*a**2 + 7099 as g*a**2 + o*a + y and give y. -639 Rearrange -174*b - 33 - 45 + 80 + b**4 + (0 + 0 - 2*b)*(b**3 - 2*b + 2*b) to the form f*b**3 + c*b**4 + s*b**2 + k*b + v and give c. -1 Express 6*v + 8 - 2 - 3*v - 3 in the form c + x*v and give x. 3 Express (0*q + q - 3*q)*(-3*q + 5*q - 4*q) + (88 - 7*q - 88)*(-3*q + 2*q + 2*q) as j*q**2 + c*q + n and give j. -3 Express 5*j + 15*j + 2*j**2 + 11*j - 2*j**4 - 6*j**2 in the form r*j**4 + u*j**2 + h*j + o*j**3 + z and give h. 31 Rearrange (112*y**2 - 33697*y + 33697*y)*(0*y - y + 1 - y) to m*y**2 + f + a*y**3 + p*y and give a. -224 Express 146 + 5*k + 137 - 241 in the form q + a*k and give a. 5 Rearrange (599*x**2 - 238*x**2 - 242*x**2)*(1 - 1 + x**2 - 2) to the form l*x**4 + b*x**3 + j + c*x**2 + g*x and give c. -238 Express -170*c - 109*c - 1057*c in the form f + o*c and give o. -1336 Rearrange -52*p + 136 - 136 - 466*p to the form w + o*p and give o. -518 Express 3*d**3 + 2 - 5*d**3 - 5*d**2 + 3*d**2 + 4*d + 0*d**2 + 25*d**4 - 24*d**4 as b*d**3 + z + r*d + w*d**2 + x*d**4 and give z. 2 Rearrange 41*l + 1172 - 39*l - 1172 + 188*l**2 to the form x*l + h*l**2 + s and give h. 188 Express -349*a + 12*a - 411*a in the form j*a + k and give k. 0 Express j**3 - j**2 - j - 2*j**3 - 2*j - 2 as w*j**2 + u*j + c*j**3 + z and give u. -3 Rearrange 347*w**2 - 2110*w + 2112*w - 81*w**2 - 4 to the form u*w**2 + t*w + r and give t. 2 Express 0 + 9 - 3179*u - 9 in the form c*u + x and give c. -3179 Express (1 - 1 + 1)*(-2*i**3 + i**3 + 2*i**3)*(-6 + 9 + 34)*(0 - 4*i + 0) in the form c + w*i**4 + h*i + k*i**3 + n*i**2 and give w. -148 Rearrange 70*f - 2*f**4 + 3*f**3 + 5*f**2 - 3*f**2 - 48*f to l*f**3 + z*f**2 + b + p*f + j*f**4 and give l. 3 Express 2*p - 6*p**2 - 4*p**2 + 0 - 8 + 11*p**2 in the form y*p + o*p**2 + j and give o. 1 Rearrange 96*x + 1 - 96*x - 7*x**2 + (12*x**2 - 31*x + 31*x)*(0 - 4 + 3) + (-3 + 2 + 2)*(2*x**2 - 2*x**2 + x**2) to the form n*x**2 + i*x + u and give u. 1 Rearrange 8022*f**2 - 2*f**3 + 114*f + 22*f - 2*f**4 + 0*f**3 - 8023*f**2 + 1 to the form g + p*f**4 + c*f + z*f**3 + b*f**2 and give b. -1 Rearrange -9*z**4 + 0*z**3 - z + 11*z**4 + 7*z**3 - z**2 to the form y*z + x*z**4 + t*z**3 + l + q*z**2 and give q. -1 Rearrange 6*d - 5*d - 4*d**3 - 10*d + 3*d**3 + 12*d**2 + 2*d**3 to the form b*d**2 + h + p*d**3 + q*d and give p. 1 Rearrange 0*o**4 - o + 768*o**2 - 3*o**4 - 7 - 776*o**2 + 2*o**4 to w*o**3 + m*o + g*o**2 + q*o**4 + l and give q. -1 Express 0*n**3 + 2*n**3 - 444 - 3*n + 411 + (-2 + 2 - 2*n)*(3*n**2 - n**2 - 3*n**2) - 6*n + 6*n - 6*n**3 in the form x*n**3 + d*n + s*n**2 + b and give b. -33 Express 40*m + 103*m + 9 - 9 as q + f*m and give f. 143 Express 576*r - 512*r + 1261*r in the form o + s*r and give s. 1325 Express (2 - 2*k - 2)*(-118 - 58 + 430) as c*k + t and give c. -508 Rearrange (3*g - 2*g - 2*g)*(-4 - 6 - 1)*(9 + 8 - 5)*(2*g**2 - g**2 + g**2) to the form k*g**2 + h + i*g + x*g**3 and give x. 264 Express -13*r**4 - r**3 + 30*r**4 - 2*r**2 - 7*r**4 + 2*r**3 - 19 + 4*r - 11*r**4 in the form y*r**3 + p*r**4 + v*r**2 + q + j*r and give y. 1 Rearrange -215*y**2 - 10*y**2 + 90*y**2 to the form d*y**2 + c*y + m and give d. -135 Rearrange -2*g - 3*g - 2*g - 3*g + 2*g - 2*g + (15 - 3 + 5)*(-g - 1 + 1) to q*g + f and give q. -27 Express 94*h + 1 + 50*h**2 - 190*h + 99*h in the form r + f*h**2 + g*h and give g. 3 Rearrange -461 - 457 + 918 + 1401*b to k + a*b and give a. 1401 Express 0*v + 16*v - 7*v - 6*v - 4*v - v**2 + 116 in the form f*v**2 + h*v + x and give f. -1 Express (-5597*d**2 + 121*d**3 + 5597*d**2)*(2 - 23*d - 2) as l*d**4 + i*d + c*d**2 + b + o*d**3 and give l. -2783 Rearrange (132*h - 67*h - 75*h)*(-5*h**2 + 2*h**2 + 5*h**2) to the form u*h + f*h**3 + y*h**2 + s and give f. -20 Express -7*x**3 - 2*x**3 - 13*x**2 + 7*x**3 - 3*x as l + z*x**2 + s*x**3 + k*x and give l. 0 Express -7*k**2 + 765 - 943 + 9*k**2 in the form b*k + j*k**2 + i and give j. 2 Rearrange 2*h - h + 2*h + (-1 - 7 + 1)*(-7*h + 3*h + 2*h) - 2*h + 3*h - 2*h to i + w*h and give w. 16 Express ((-n + n - 2*n)*(3*n - 10*n - 8*n) - 3*n + n**2 + 3*n)*(6 - 4 - 4)*(2 - 1 - 3) as g*n + a*n**2 + q and give a. 124 Rearrange (1234 + 1825 + 4233 + 4457 + 3674)*(2 - r**3 - 2) to the form l + w*r + n*r**2 + g*r**3 and give g. -15423 Rearrange -6*h + 32*h + 72*h - 7*h + h**2 + h**2 to l*h**2 + n + r*h and give r. 91 Rearrange (8*p + 4*p - 4*p)*(-2*p + 0*p - p)*(-33 + 17 - 6) to f + y*p + w*p**2 and give w. 528 Express 3 + 4*b**2 - 3*b**4 + 2*b**2 - 148*b - b**4 + 3*b**4 + 150*b + 21*b**3 as g*b**3 + y + a*b**2 + u*b + i*b**4 and give i. -1 Express (0*h**2 + h**2 + 0*h**2)*(3 - 3 - 3*h) + 11*h**3 + 7*h - 22*h - 4*h**3 as b*h + o + c*h**2 + s*h**3 and give b. -15 Express -11*p - 7 + 7 + (-1 + 1 - 1)*(-4*p + p + 2*p) + 3*p + 2 - 2 - 1 + 1 - 2*p in the form f*p + c and give f. -9 Express -4*p + 0*p + p + 3 - 3 + p + (-3 + 3 - 2)*(0*p + 0*p - 2*p) + 0 + p + 0 - 6*p + 0*p + 4*p - 116*p + 97*p + 100*p + 312*p in the form q + r*p and give r. 394 Rearrange -498 + 489 + 13*m**2 + 17*m**2 + m to the form w*m**2 + y + i*m and give i. 1 Rearrange -39*g + 143*g - 694*g - 611*g - 208*g to u + v*g and give v. -1409 Rearrange 2*o + 2*o - 7 - 128 + o + 27 to b*o + i and give i. -108 Rearrange -h - h**2 + 4 + 1 + 2*h**4 - 16*h to v*h + x*h**2 + o*h**3 + a + b*h**4 and give x. -1 Express 1020*y**2 - 4*y**3 - 513*y**2 - 29*y**3 - 514*y**2 in the form n*y + t*y**2 + a*y**3 + j and give t. -7 Rearrange (-3 + 1 + 0)*(2*c + 26*c + 29*c) - c + 1 - 1 to the form p + y*c and give y. -115 Rearrange 3*h**2 - 4*h**2 + 0*h**2 - h**2 - 5 + 5 + (2*h**2 - 11*h**2 - 16*h**2)*(2 + 0 + 2) to p + c*h**2 + m*h and give c. -102 Express 56*b**4 + 56*b**4 + 26*b**4 + (-5*b**3 + 2*b**3 + 2*b**3)*(-5 + 5 - 6*b) in the form h*b**3 + m*b**2 + f*b + y + j*b**4 and give f. 0 Express -4*q + 7 - 7 + (-5 + 3 + 1)*(5 - 1 - 5)*(2*q - 8*q + 21*q + (-q - q + 0*q)*(-3 - 1 + 3)) in the form t*q + n and give t. 13 Rearrange -1690*x + 388*x - 1104*x to the form c*x + z and give c. -2406 Express 0*l**2 + 14*l + 23*l**3 - 29*l + 15*l + 2*l**2 in the form k*l**2 + t*l**3 + u + z*l and give z. 0 Express (-y + 2*y + y)*(-1 + 33*y - 33*y - 7*y**2) + (0 + 0 - 5*y**2)*(2*y + 0*y - y) in the form k*y + l*y**2 + m + p*y**3 and give p. -19 Express 158*y + 0 + 0 + 1230*y - 185*y in the form k + m*y and give m. 1203 Rearrange -8 + 4 - 19*a**3 + 58*a + 3*a**2 - 5*a**2 - 64*a to j*a**3 + v*a**2 + k + z*a and give j. -19 Express 1 - 176*t**3 + 176*t**3 + 2*t - 8*t**2 + t**4 in the form s*t + a + y*t**3 + w*t**4 + g*t**2 and give a. 1 Rearrange -u**4 + 3*u**4 - u**4 + (1 - 5 + 2)*(-9 + 2*u - 3*u**2 + 9)*(-2 + 3 + 0)*(2*u**2 - 6*u**2 - 12*u**2) to a + f*u**2 + o*u**4 + l*u**3 + g*u and give o. -95 Rearrange (-2*h + 0*h + h)*(-1 + 1 - 3)*(9*h + 8*h - h)*(-2 - 2 + 3) to the form n*h**2 + y*h + f and give n. -48 Express (-60*t - 80*t + 76*t)*(-3*t - 4*t + t) in the form g*t + n + k*t**2 and give k. 384 Express -84*c + 155*c + 246*c in the form f*c + n and give f. 317 Express (2*j**3 - 35*j**3 + j**3)*(-2*j - 2*j + 5*j) - 2 - 2*j**3 - j**4 + 2*j**3 - 2*j**2 in the form w*j**3 + s*j**2 + h*j**4 + z + o*j and give z. -2 Rearrange (-22 - 45 - 5)*(-7 + 0 + 5 - 2*n**3) to z*n + q*n**2 + s + a*n**3 and give a. 144 Rearrange (h - h - 2*h)*(-918 + 2399 + 1717) to the form v + s*h and give s. -6396 Express (-i + 0 + 0)*(-2 + 2 - 2*i)*(-41*i**2 - 54*i**2 + 129*i**2) as v*i**2 + p + c*i**4 + s*i**3 + y*i and give c. 68 Rearrange 2*c**2 + 6*c**2 - 94 + 30 - 9*c**2 to the form z*c + d + m*c**2 and give d. -64 Express -127*m - 23*m**3 + 107*m**3 + 124*m + 55*m**3 as c*m**2 + l + q*m**3 + v*m and give v. -3 Express (-2*u + 5*u - 4*u)*(-48*u + 1830 - 1830 - 2*u - u - u + u + u - u + (-u + 0 + 0)*(1 - 2 - 1)) as o*u**2 + p + f*u and give o. 49 Rearrange 0*z**2 + 0*z**4 - z**2 - 2*z**4 - 7*z + 1 - 3*z**3 + 6*z**3 - 6*z**3 to q*z**3 + f*z**4 + l*z**2 + t*z + u and give l. -1 Rearrange (0 + 7 - 2)*(-k + 3 - 3) + 86*k + 179*k + 121*k + 2 to the form w + c*k and give w. 2 Rearrange 274*r**3 + 362*r**3 - 204*r**3 - 2 - r to the form v*r**2 + a + p*r**3 + h*r and g
{ "pile_set_name": "DM Mathematics" }
*a + 4*u - 9*u, 4*u = 16. Calculate the remainder when 1 + -2 + z - -2 is divided by a. 10 Let d(j) be the first derivative of -j**3/3 + 6*j**2 - 7*j + 4. What is the remainder when 49 is divided by d(10)? 10 Let x = 54 + -37. Suppose t + 5*i = -15, -5*t - 2*i + x = -0*t. Suppose 2*s + 8 - 34 = 0. Calculate the remainder when s is divided by t. 3 Let p = 172 - 93. What is the remainder when p is divided by 20? 19 What is the remainder when (-18)/(-27) - 157/(-3) is divided by 11? 9 Suppose 3*t - 3*d - 21 = 0, -t + 7 + 3 = -2*d. Suppose -5*w + 11 = -5*v + 71, 0 = -4*w + 4. Calculate the remainder when v is divided by t. 1 Suppose 0 = -v + 26 - 6. Calculate the remainder when (-4)/(-10) - 193/(-5) is divided by v. 19 Let p be ((-2)/4)/((-3)/(-84)). Let j = p + 27. Suppose 4*w + 56 = 152. What is the remainder when w is divided by j? 11 Suppose -3*s = -13 - 2. What is the remainder when s is divided by 3? 2 Suppose 2*n - 31 = -3*f + 1, 2*f - 19 = n. What is the remainder when 58 is divided by f? 8 Let f = 479 + -241. Calculate the remainder when f is divided by 30. 28 Let p = -49 - -52. What is the remainder when 4 is divided by p? 1 Let s = 6 - -13. What is the remainder when 40 is divided by s*(1 - 0) + 2? 19 Let x = 0 - 1. Calculate the remainder when 58 is divided by x + -3 + 0 + 19. 13 Suppose -2*o - 66 = -4*d, -d + 69 = -3*o - 5*d. Let t(b) = -2*b - 6. Let s be t(-4). What is the remainder when 5 is divided by o/(-12) - s/8? 1 Suppose 103 = -0*d + d. Suppose a - 362 = 5*l, 2*l + a = -39 - d. Let c = l + 103. Calculate the remainder when c is divided by 11. 9 Let w be 1*(-2 - -2) + -2. Let a = 20 - w. Calculate the remainder when a is divided by (4/6)/(22/396). 10 Let j = 6 - 2. Let k be (2/4)/(1/18). Let g(a) = a - 6. Calculate the remainder when j is divided by g(k). 1 Let b = 36 + -51. Let n be ((-6)/b)/((-2)/(-30)). Suppose -2*z + n*z = 188. What is the remainder when z is divided by 16? 15 Let c(z) = 10*z + 1. Suppose 0*q + 3 = q. What is the remainder when c(q) is divided by 18? 13 Let b be -2*(2 + (-63)/6). Suppose -g = 4*s + b, -2*s + 3 - 1 = 4*g. Suppose 0 = -2*m + 5*m - g. What is the remainder when 1 is divided by m? 0 Let k = -17 + 32. Suppose 12 = -2*c + 20. What is the remainder when k is divided by c? 3 What is the remainder when (-688)/(-8) + (-2 - -2) is divided by 22? 20 Let z = -11 - -31. Calculate the remainder when 38 is divided by z. 18 Let o = -21 + 21. Suppose -3 - 3 = -3*h. Suppose 4*r - h*r = -2*u + 96, o = 2*u + 10. What is the remainder when r is divided by 18? 17 Let c(m) = m**3 - m**2 - 2*m - 3. Suppose -3 + 0 = -p. Let l(o) = o**3 + 6*o**2 + 5*o + 5. Calculate the remainder when l(-4) is divided by c(p). 8 Suppose -4*q - 59 + 63 = 0. What is the remainder when 7 is divided by q? 0 Let v(s) = -s**3 - 5*s**2 - 4*s - 4. Suppose 4*r - 12 = r. Suppose 3*m = -r*n + 21, -4*m - 53 = -5*n + 12. What is the remainder when v(-5) is divided by n? 7 Let q = 16 - -16. Let g = -4 - 0. Let k(z) = z**2 - z - 3. What is the remainder when q is divided by k(g)? 15 Suppose 0 = -3*i - 7 + 46. What is the remainder when 45 is divided by i? 6 Let w be 4*(-3 - 51/(-12)). Suppose 3*d + 115 = w*x, -5*x + 66 = d - 29. Calculate the remainder when x is divided by 7. 6 Suppose 4*p + 0*p = 152. Calculate the remainder when p is divided by 10. 8 Suppose 0 = 2*m, -3*k = -8*k + m + 85. Calculate the remainder when 65 is divided by k. 14 Suppose 4*l - 5*d - 98 = 0, -4 = 3*d + 2. Calculate the remainder when l is divided by 13. 9 Let l = 2 - 0. Suppose -l*z + 17 = 3*g - 6, 2*z + 4*g = 24. What is the remainder when 19 is divided by z? 9 What is the remainder when 109 is divided by 2*2/4*28? 25 Let c(r) = -r**3 - 6*r**2 + 17*r + 19. Calculate the remainder when 86 is divided by c(-8). 9 Suppose 3*z + x - 10 = 2*z, 5*z - 50 = -2*x. Calculate the remainder when 39 is divided by z. 9 Let x(q) = q**3 - q**2 - q + 2. Let u = 1 - 1. Let f be x(u). Suppose 5*w + 2*d - 33 = 0, -3*w + f*d = 4*d - 19. What is the remainder when 12 is divided by w? 5 Let i = -11 + 31. Suppose -7*j = -2*j + i. Let f = 14 + j. Calculate the remainder when 19 is divided by f. 9 Let d(y) = 9*y**2 - y. Let j = -17 + 31. Calculate the remainder when j is divided by d(1). 6 Let n = -12 - -23. Calculate the remainder when 86 is divided by n. 9 Let q(c) = c + 8. Let t be q(7). Suppose d + t = 4*d. Suppose d*j - 61 = v - 5*v, -3*j + 47 = 5*v. Calculate the remainder when 17 is divided by j. 8 Suppose -u + 71 = 3*w, -w - 3*u = 3 - 16. Let x = -1 + 1. Suppose 5*v + 3*y - 51 = -x*y, 0 = v - 2*y - 5. Calculate the remainder when w is divided by v. 7 Suppose 0*f + 3 = 3*f. Calculate the remainder when 36 + -2 + 2 + f is divided by 19. 18 Suppose g = 4*g - 2*j - 25, -g + 3*j = -6. Calculate the remainder when 14 is divided by g. 5 Suppose 4*z = 3*g - 0*g + 665, 0 = 2*z - 5*g - 343. Suppose -5*f - z = -4*b - 37, -2*b + 51 = -5*f. What is the remainder when b is divided by 13? 12 Let i = -106 + 248. What is the remainder when i is divided by 24? 22 Let k be (-213)/5 - 4/10. Let c = -17 - k. Suppose -4*u + 5*u - 14 = 0. What is the remainder when c is divided by u? 12 Let r(b) = -b**3 + 4*b**2 - 2*b + 1. Suppose 2*x - 14 = 5*u - 3*u, 3*u + 5*x - 3 = 0. Let v = -1 - u. What is the remainder when r(3) is divided by v? 1 Calculate the remainder when 5/15*(10 - 1)*3 is divided by 9. 0 Suppose -5*x - 4*p + 37 = 0, -4*x - 5*p - 2 = -37. Calculate the remainder when x is divided by 4. 1 Calculate the remainder when (4/6)/(4/114) is divided by (1 + 0/(-3))*10. 9 Let g(l) = 17*l**2 - 17*l - 11. Let t be g(17). What is the remainder when t/56 + 6/(-16) is divided by 21? 19 Let i = 4 + -4. Let o be i/(4/(-3 + 1)). What is the remainder when o - (2 + -1*26) is divided by 13? 11 Suppose 4 = 2*l, 0 = 3*a + l + l + 20. Calculate the remainder when 68 is divided by (-7 - a)/((-2)/(-46)). 22 Let t(d) = 4*d**3 + 3*d**2 + 9*d + 19. Let p(c) = c**3 + c**2 + 3*c + 6. Let n(x) = -7*p(x) + 2*t(x). What is the remainder when 8 is divided by n(3)? 3 Suppose 5*y - 150 = -d, -2*y + 60 = 6*d - d. Let q = y + -24. Calculate the remainder when q is divided by 3. 0 Let h = 111 + -93. Calculate the remainder when 103 is divided by h. 13 Let k(y) = -y**3 - 6*y**2 - y + 4. Let i be k(-5). Let p = i + 26. Let c(l) = l**3 - 3*l**2 + 5*l + 3. What is the remainder when c(4) is divided by p? 9 Suppose 26 + 1 = 3*i. Calculate the remainder when 25 is divided by i. 7 Let v be (-4)/(5*(-4)/(-890)). What is the remainder when v/(-2) - (8 - 4) is divided by 22? 19 Suppose -l + 2*p + 16 - 5 = 0, -3*l - 2*p + 65 = 0. Calculate the remainder when 49 is divided by l. 11 Let y be (-4)/((3/(-21))/1). Suppose -3*s = 3*h - 8*h + 88, -3*s = -2*h + y. Calculate the remainder when h is divided by 7. 6 What is the remainder when 67/2 + (-8)/(-16) is divided by 19? 15 What is the remainder when 106/2*(14 - 13) is divided by 28? 25 Let v(q) be the first derivative of 2*q**3/3 + 5*q**2/2 - 4*q + 1. Calculate the remainder when (-2)/5 - (-117)/5 is divided by v(-4). 7 Suppose t + 4*y - 16 = 0, 3*t + 0*t + 4*y = 40. Calculate the remainder when 2/6*(101 + 1) is divided by t. 10 Let p(a) = 3*a - 1. Suppose -x - 4 = -3. Let s be p(x). Calculate the remainder when 2/(s*(-1)/22) is divided by 6. 5 Let m(i) = 3*i + 1. Calculate the remainder when 0 + -3 + -20 + 78 is divided by m(6). 17 Let w(g) = -g**3 + 9*g**2 - 6*g + 4. What is the remainder when 302 is divided by w(6)? 74 Let x(p) = -p + 62. What is the remainder when x(23) is divided by 8? 7 Let h = 5 - 0. Suppose w + 3*z - 34 = 2*z, 0 = h*w - 5*z - 170. Suppose r = -m + 12, -3*m + 3*r + 36 = -0*r. What is the remainder when w is divided by m? 10 Let x = 32 - 5. Suppose -3*d - 3*n + n = 18, 9 = 3*n. Calculate the remainder when x is divided by (-1)/4 + (-114)/d. 13 Let j(d) = 2*d**2 + 17*d - 6. Calculate the remainder when j(-12) is divided by 16. 14 Let b = 3 + 19. Let d = 8 - 2. Calculate the remainder when b is divided by d. 4 Let h = -7 + 18. Let o = -2 - -13. Suppose o*n - 6*n - 30 = 0. Calculate the remainder when h is divided by n. 5 Suppose 3*i = -0*i - 3*c + 15, 0 = 5*i - 4*c - 43. Let d = -26 + 59. What is the remainder when d is divided by i? 5 Suppose 0 = 4*r + 5*v - 111, 3*v + 141 -
{ "pile_set_name": "DM Mathematics" }
g - 5. Solve -1/3*i**t + 0*i**2 - 2/3 + i = 0. -2, 1 Let a(r) be the second derivative of -r**4/10 + 12*r**2/5 + 172*r. Find w such that a(w) = 0. -2, 2 Determine q, given that 3*q**4 + 50*q**3 - 78*q**3 + 40*q**3 + 12*q**2 = 0. -2, 0 Let p(i) be the first derivative of i**3 - 12*i - 6 + 9/2*i**2. Find f such that p(f) = 0. -4, 1 Suppose -9*y - 5 = -5*q - 4*y, 3*q + 5*y - 11 = 0. Let r = -512 - -3073/6. What is t in 0 + 1/3*t - r*t**q = 0? 0, 2 Suppose -8*w**2 - 1/2*w**3 - 40 + 38*w = 0. What is w? -20, 2 Let w(l) = -3*l**3 + 40*l**2 - 11*l - 26. Let j(n) = -2*n - 1. Let c be j(-7). Let h be w(c). Factor 4/3*f**2 - 2/3*f**4 + 2/3*f**3 + 0*f + h. -2*f**2*(f - 2)*(f + 1)/3 Let k(v) be the first derivative of 2/7*v + 13 + 1/21*v**3 + 3/14*v**2. Factor k(q). (q + 1)*(q + 2)/7 Let t(d) be the third derivative of d**8/84 + d**7/56 - d**6/72 + d**3/2 + 7*d**2. Let m(j) be the first derivative of t(j). Factor m(y). 5*y**2*(y + 1)*(4*y - 1) Let q(g) = -g - 38. Let x be q(8). Let p = 48 + x. Solve -3/2*b**3 + 0*b + 0 + 3/2*b**p = 0 for b. 0, 1 Let a = -2 - -2. Suppose a = 5*p - 2*j - 10, -5*j + 4 = -4*p - j. Factor 4*w**2 - 12*w**3 + 4*w**2 + 4*w**4 + 12*w - p*w**2 - 8. 4*(w - 2)*(w - 1)**2*(w + 1) Let y(w) be the first derivative of -w**2 + 1/180*w**6 + 2/9*w**3 + 0*w + 3 + 0*w**5 - 1/12*w**4. Let f(z) be the second derivative of y(z). Solve f(v) = 0. -2, 1 Let u = -13 - -17. Find b such that u - b - 89*b**3 + 81*b**3 + 9*b - 4*b**4 = 0. -1, 1 Let o = 6 + -31. Let k = 29 + o. Solve 5*l**3 + 11*l + 1 + 2*l + 2*l + k + 15*l**2 = 0. -1 Let g(i) be the third derivative of -1/225*i**6 + 0*i + 0*i**3 - 21*i**2 - 1/90*i**5 + 0 - 1/90*i**4 - 1/1575*i**7. Let g(n) = 0. Calculate n. -2, -1, 0 Factor 18*p**4 - 8*p**3 + 72*p**2 + 80*p + 36*p**3 + 53 - 14*p**4 - 21. 4*(p + 1)*(p + 2)**3 Let u(g) be the third derivative of g**8/1344 - g**7/42 + g**6/3 - 8*g**5/3 + g**4/12 - 32*g**2. Let a(l) be the second derivative of u(l). Factor a(y). 5*(y - 4)**3 Let r be ((-4)/(-64))/((-3)/(-6)). Let h(b) be the first derivative of 0*b + 0*b**2 + 0*b**3 - r*b**4 + 3 + 1/10*b**5. Determine o, given that h(o) = 0. 0, 1 Suppose 160*o - 35*o = 157 + 93. Factor 1/4*a**o + 3/4*a + 0. a*(a + 3)/4 Let f(m) = 25*m + 80. Let i be f(6). Let p = -228 + i. What is j in -1/9*j**3 - 1/9*j**p + 0 + 0*j = 0? -1, 0 Let a(k) be the first derivative of -k**3/3 - 5*k**2 + 64. Factor a(o). -o*(o + 10) Factor 0*f + 7/6*f**3 + 0 - 1/6*f**4 - 2*f**2. -f**2*(f - 4)*(f - 3)/6 Let j = -12977 - -90849/7. Factor -8/7*u**2 - 2/7*u**3 - 4/7 - j*u. -2*(u + 1)**2*(u + 2)/7 Let q be (3/(-2))/(1225/(-1050)). Factor 6/7*n - q + 3/7*n**2. 3*(n - 1)*(n + 3)/7 Determine i so that 3/5*i**3 + 18/5*i**2 - 6 + 9/5*i = 0. -5, -2, 1 Let z(k) be the second derivative of -k**7/1260 - k**6/540 - 2*k**4/3 + 3*k. Let o(v) be the third derivative of z(v). Suppose o(b) = 0. Calculate b. -2/3, 0 Suppose -61 = -4*s + 5*o, -5*s - 4*o + 73 = 7. Suppose h = 5*t + s, 5*t + 0 - 2 = -3*h. Factor 6*n**h - 2*n**2 - 2*n**2 - 2*n**4. 4*n**2*(n - 1)*(n + 1) Let p(w) = 10*w - 16. Let i be p(1). Let r be (12 - 8)/((-28)/i). Find g, given that r*g**2 + 2/7 + 6/7*g + 2/7*g**3 = 0. -1 Factor -9*m**2 + 784796*m**4 + 78*m - 33*m**3 - 784793*m**4 + 9*m**3 - 48. 3*(m - 8)*(m - 1)**2*(m + 2) Let g(m) be the third derivative of -m**6/40 - m**5/4 - 3*m**4/4 + 2*m**2 + 145. Factor g(x). -3*x*(x + 2)*(x + 3) Let r(i) be the third derivative of -i**8/84 + i**7/30 + i**6/60 - 2*i**5/15 + i**4/12 + i**3/6 - 3*i**2 + 9*i. Determine u so that r(u) = 0. -1, -1/4, 1 Suppose -5*z + 22 = 2*h, 0*z - 2*z + 12 = 4*h. Let j be ((-3)/z)/(2 + 14/(-4)). Find g such that -1/2*g**3 + g + 0 + j*g**2 = 0. -1, 0, 2 Let w be (-15)/(-9)*1*81/45. Let b(t) be the first derivative of 1/4*t**2 - 5 - t + 1/6*t**w. Determine g, given that b(g) = 0. -2, 1 Factor 40*c + 48 + 2/3*c**3 + 28/3*c**2. 2*(c + 2)*(c + 6)**2/3 Let d(v) be the third derivative of -2/15*v**5 - 1/30*v**6 + 0*v + v**2 + 1/6*v**4 + 4/3*v**3 + 0. Solve d(k) = 0 for k. -2, -1, 1 Let y(q) be the second derivative of -1/90*q**4 - 1/5*q**2 + 10*q + 2 + 4/45*q**3. Factor y(v). -2*(v - 3)*(v - 1)/15 Let i(s) = -s**3 - 10*s**2 + 13*s + 37. Let x be i(-11). Factor 5 + 23 - x*z + 3*z**2 - 10. 3*(z - 3)*(z - 2) Let p(w) = -w**2 + w. Let x(g) = -3*g**2 - 72*g + 48. Let c(s) = -6*p(s) - x(s). Solve c(r) = 0 for r. -8, 2/3 Let s(f) = f**3 - f**2 - f - 1. Let m(t) = -t**3 - t**2 + t - 1. Let p(w) = 2*m(w) - 2*s(w). Find c such that p(c) = 0. -1, 0, 1 Find l, given that 2649/5*l**2 + 63/5*l**3 + 516/5 - 2568/5*l = 0. -43, 2/7, 2/3 Let t(u) be the first derivative of 4*u**5/35 + u**4 + 64*u**3/21 + 24*u**2/7 - 86. Factor t(l). 4*l*(l + 2)**2*(l + 3)/7 Let w(r) be the third derivative of r**5/12 - 25*r**4/6 - 2*r**2 + 179*r. Determine j, given that w(j) = 0. 0, 20 Let q(x) be the first derivative of x**3 - 9*x**2/2 + 6*x + 46. Suppose q(m) = 0. What is m? 1, 2 Let o(c) be the second derivative of -1/84*c**4 + 30*c - 1/21*c**3 + 4/7*c**2 + 0. What is n in o(n) = 0? -4, 2 Let n(u) = -10*u**2 + 29*u + 9. Suppose -p + 6 = -7*p. Let m(j) = j - 1. Let v(s) = p*n(s) + 3*m(s). Find h, given that v(h) = 0. -2/5, 3 Let x(o) = -3*o**4 + 5*o**3 - 6*o**2 + 4*o - 4. Let i(q) = 31*q**2 + 9 - 9*q + 7*q**4 + 23*q**3 - 18*q**2 - 34*q**3. Let j(r) = 4*i(r) + 9*x(r). Factor j(f). f**2*(f - 1)*(f + 2) Let y be 6/2 - 108/9. Let u(f) = f**3 + 10*f**2 + 10*f + 12. Let a be u(y). Determine d so that -4*d**2 - 15*d**3 - 5*d**2 + d + d + 19*d**a = 0. 0, 1/4, 2 Let n(z) be the first derivative of -z**3/3 + 121*z**2 - 14641*z - 682. Factor n(q). -(q - 121)**2 Suppose h + 0 - 1/3*h**2 = 0. Calculate h. 0, 3 Let p be 2 - 3*1*368/(-48). Factor -p*a + 6 + 117*a**2 - 41*a - 105*a**3 + 33*a**4 + 15*a. 3*(a - 1)**3*(11*a - 2) Let m(x) be the third derivative of -x**6/180 + x**5/10 - 23*x**4/36 + 5*x**3/3 - 10*x**2. Solve m(j) = 0. 1, 3, 5 Let i(t) be the second derivative of t**7/882 + t**6/360 + t**5/420 - 5*t**4/3 - 7*t. Let w(b) be the third derivative of i(b). Factor w(d). 2*(2*d + 1)*(5*d + 1)/7 Let a(v) be the first derivative of v**5/15 + 11*v**4/12 + 11*v**3/3 + 37*v**2/6 + 14*v/3 + 182. Factor a(h). (h + 1)**2*(h + 2)*(h + 7)/3 Factor -567*d**2 + 78*d**3 + 18*d**4 - 27 - 324*d - 20*d**4 - 42*d**3 + 110*d**4 - 402*d**2. 3*(d - 3)*(d + 3)*(6*d + 1)**2 Solve 12/19*l**2 + 2/19*l**3 - 14/19*l + 0 = 0. -7, 0, 1 Suppose -4*g + 4*s + 57 - 9 = 0, 0 = -4*g - 2*s + 72. Factor 4 + 4*o - 9*o - g*o + 10*o**2 - o. 2*(o - 2)*(5*o - 1) Let q = -18397/6 + 3067. Factor -2/3*n**3 + q*n - 1/3*n**2 - 1/3 - 1/6*n**5 + 2/3*n**4. -(n - 2)*(n - 1)**3*(n + 1)/6 Let z(q) be the third derivative of -1/720*q**6 + q**3 - q**2 + 0*q**5 + 0 + 0*q + 0*q**4. Let k(u) be the first derivative of z(u). Factor k(i). -i**2/2 Let j be 10/(-8)*16/(-4). Suppose -k - 3*k**2 + 2*k**4 - 3 + 0*k + j + k**3 - k**4 = 0. What is k? -2, -1, 1 Let x be (-10)/(-14)*32/10. Let i = 45012/7 - 6430. Factor -8/7 - i*l**3 - 10/7*l**2 - x*l. -2*(l + 1)*(l + 2)**2/7 Let m(c) be the second derivative of -c**6/30 - c**5/5 - c**4/3 - 31*c + 3. Suppose m(j) = 0. Calculate j. -2, 0 Let u = -301 + 303. Let o(g) be the first derivative of 1/3*g**3 - 1/2*g**u - 7 - 1/12*g**4 + 1/3*g. Find l, given that o(l) = 0. 1 Let j(x) be the third derivative of -1/12*x**5 - 5/32*x**4 + 0 + 0*x + 23*x**2 + 0*x**3 - 1/96*x**6. Factor j(c). -5*c*(c + 1)*(c + 3)/4 Let o(s) be the third derivative of -s**5/12 - 20*s**4/3 - 40*s**2. Suppose o(b) = 0. What is b? -32, 0 Solve -4*r**5 - 292/5*r - 456/5*r**3 + 172/5*r**4 + 12 + 536/5*r**2 = 0. 3/5, 1, 5 Let y be (15/(-2) + -27 + 35)*0. Factor -6/7*f**2 + 9/7*f - 3/7*f**3 + y. -3*f*(f - 1)*(f + 3)/7 Factor -4*m**3 + 13 - 11*m**3 - 1 - 14*m + 51*m**2 - 34*m. -3*(m - 2)*(m - 1)*(5*m - 2) Factor -8*h + 9*h**2 + 9*h**2 + 3*h**3 + 35*h. 3*h*(h + 3)**2 Let o(y) = -5*y**2 - 9*y. Let l(d) = 5*d**2 + 13*d + 5. Let i(z) = 16*z**2 + 40*z + 14. Let v(p) = -4*i(p) + 11*l(p). Let f(x) = -7*o(x) + 4*v(x). Factor f(n). -(n + 1)*(n + 4) Factor -64891*q**2 + 139*q**4 - q**5 - 415*q**4 + 16223*q**2 + 5*q**5 + 6161*q**3 + 187*q**3. 4*q**2*(q - 23)**3 Let a(p) be the second derivative of p**5/140 + p**4/56 - 11*p**2/2 - 14*p. Let r(g) be the first derivative of a(g). Determine k so that r(k) = 0. -1, 0 Let a be (-30
{ "pile_set_name": "DM Mathematics" }
) j (b) -3/4 (c) m b Let d = 23.78 + 0.22. Let o = d - 26.4. Let t = o - 0.6. Which is the second biggest value? (a) 2 (b) 0 (c) t b Let g = 37.91 - 33.91. Let o = -82.9 - -62. Let t = -21 - o. Which is the smallest value? (a) g (b) -1/2 (c) t (d) -2 d Let i = 100242/7 + -14320. Let w = 0.4 + -0.6. What is the third biggest value in w, i, -13? -13 Suppose 80 = 2*z + 15*z - z. Which is the second smallest value? (a) -4 (b) 0 (c) 27 (d) z (e) 0.2 b Let t = -4.556 + 7.555. Let j = 0.001 + t. Which is the second smallest value? (a) -7 (b) -0.3 (c) j b Let k = 2262.2 + -2059. Let s = 159 - k. Let f = s - -44. What is the third biggest value in f, 0, -0.04? f Let t = 0.3 - 0.6. Let s = -203 + 202. Let z be (s/9)/((-4)/(-24)). Which is the third smallest value? (a) t (b) -5 (c) -0.5 (d) z c Let z = 30040 - 30040.09. What is the third biggest value in 168, 0.3, z? z Let j = -237 - -236.5. Let v = 62 + -65. Which is the second smallest value? (a) 1 (b) 0 (c) v (d) j d Let a(u) = 34 + u + 30 + 3*u - 33. Let j be a(-9). What is the third smallest value in j, 4, 3? 4 Let w = -7441.99 + 7442. Which is the third biggest value? (a) 43 (b) -5 (c) w (d) -1/4 d Let w(v) = 7*v**3 - v**2 + 3*v + 4. Let s be w(-3). Let z = 998049/44 - 89919/4. Let b = z + s. What is the second biggest value in -0.4, b, -4? -0.4 Let b = 108917 + -108917. Let c = 23 + -20.02. Let l = c + 0.02. What is the third biggest value in l, 0.3, b? b Let r = -0.2836 + 7.3836. What is the second biggest value in 4, r, 2? 4 Let w = -5229 - -5228. What is the second smallest value in -0.5, -12/11, 7/2, w? w Let l(v) = -v**2 - 13*v + 13. Let f be l(-9). Let a = -151 + f. Let z be 4/14 + a/63. What is the third biggest value in -5, z, 4/7, 5? z Let h = 263 - 264. Let k be (-2)/3*(h + (-204)/(-24)). What is the smallest value in 0, k, -42? -42 Let l = 6 - -1. Let c = l + -6.8. Let i be 117/126 - (-12)/21. What is the fourth biggest value in c, 14, i, -2? -2 Let p be (-34)/28 + 72/48 - 455/49. Which is the fifth biggest value? (a) -3/7 (b) -36 (c) 1 (d) 2/3 (e) p b Let h = 34 + -125. Let p = -87 - h. Which is the smallest value? (a) 1 (b) 0.09 (c) -0.3 (d) p c Suppose 5*r - 17 = 3. Let o(n) = n + 1. Let p be o(r). Let f = -9053 - -9044. Which is the biggest value? (a) -2/7 (b) f (c) 1 (d) p d Let x = 0.0296 - 1.7796. Let n = -0.75 - x. Which is the second biggest value? (a) -6 (b) -3/8 (c) 0.4 (d) n c Let p = -4 + 2. Let n = 16.948 + -19.848. What is the third smallest value in 3, p, n, -0.3? -0.3 Let p = 2407 - 2408. What is the second biggest value in 0.3, p, 0.4, 14, -2/3? 0.4 Suppose -6 = -4*l + 2. Let v be (186/217)/(-2) - 5/(-28). Which is the third smallest value? (a) v (b) l (c) -1/5 (d) -4/3 c Let y = 1419 - 1422. Which is the fourth smallest value? (a) -0.02 (b) y (c) -196 (d) -0.5 a Suppose 4*x - 73 = -85. Let j be 6/14 + (x - 5931/(-2331)). Let n = 3.4 + -3.7. Which is the second biggest value? (a) j (b) -1 (c) n c Suppose -t = -d - 6*t - 26, 3*t - 24 = 3*d. Let o = -8.19 - -0.19. Let h = o - -9. Which is the third biggest value? (a) d (b) h (c) 0.4 a Let r = -9991 - -9990.7. Which is the third smallest value? (a) r (b) 4/9 (c) 6 (d) 1/3 (e) -4 d Let f = 10.5 - 20. Let h = f - -9.44. What is the second smallest value in 4, -2/7, h, 2? h Let y be (8/1424)/(2 - 1847/928). Let i = -12/89 + y. What is the smallest value in 2, i, 0.04? 0.04 Let l(f) = -f**2 - 5*f + 27. Let g be l(-11). Let y be 1 - ((-3)/2)/(g/104). What is the second biggest value in -3/20, y, -0.4? -0.4 Let f = 37.57 - 37.07. What is the smallest value in f, -7, 7? -7 Let v = -2.915 + -1.085. Let d be 13 - 13 - (-3)/5. What is the biggest value in v, d, 0.44? d Let d(h) = -h + 20. Let u be d(10). Let q = -75.7 - 16.8. Let m = q - -92. What is the third smallest value in -4, u, m? u Let t = -25 - -29. Suppose 6 = -t*q - 14. Let s = 0.34 - 0.04. What is the third biggest value in s, q, 0? q Suppose 4*k = -w + 22, -2*w + 9*k - 4*k = -31. Suppose 7*s - w*s - 55 = 0. Which is the third biggest value? (a) 1/4 (b) 0.5 (c) s (d) 3 a Let n be (4/18)/((-12)/18). Let q = -3.28 + 3.28. Which is the second biggest value? (a) n (b) q (c) -2 a Let w be -1 + (-1)/7*-5. Let l = -1 + 205. Let p = l + -208. What is the third smallest value in p, w, 1/3? 1/3 Let w = -536/31 + 4948/279. Let i = -90 + 541/6. Let a(k) = k**3 - 8*k**2. Let y be a(8). What is the smallest value in i, y, w? y Let b = 7 + -16. Let y = 733614.07 + -733614. What is the second smallest value in y, b, -3/4? -3/4 Let k be (-2 + 5)/(30/315 + 618/126). What is the smallest value in k, -4, -0.173, 4? -4 Let a = -127 + 129. Suppose -a*s - 4*q - 13 = q, 7 = 4*s - q. Let g be (-3)/(-6) + 2/(-8). What is the third biggest value in -0.07, 5, g, s? g Suppose 0*d + 3*d = 3*x + 1350, -904 = -2*d + 4*x. What is the second biggest value in 0, -0.1, d? 0 Let l = 0.56 - -0.84. Which is the second biggest value? (a) 2/5 (b) l (c) 0.39 a Let c = -949 - -949.5. Let w = -28 + 27. Let m = 2.94 - -0.06. What is the third smallest value in w, 3/7, c, m? c Let v = 17563.2 + -17563. What is the second biggest value in 1514, v, -4? v Let l = -0.0459 + -333.9541. Let p = -337 - l. Which is the second biggest value? (a) p (b) 11 (c) -5 a Let r = -0.17046 + 9.17046. What is the second smallest value in -5/3, 1.5, -5, r? -5/3 Let o = 3 + -6. Let w = 341/8 - 9223/216. Let l = 234/7 + -33. Which is the second smallest value? (a) w (b) o (c) l a Let y = -2781 - -2785. Which is the biggest value? (a) -5 (b) y (c) 84 c Suppose -1 = 7956*t - 7957*t. Which is the second smallest value? (a) t (b) -0.4 (c) -2/313 c Let w = 433/267 - -4/89. Let p = -4971 + 4925. What is the second biggest value in 2/11, 0.1, p, w? 2/11 Let l = -496 + 495.688. Let m = l + 0.812. Which is the smallest value? (a) m (b) 25 (c) -1/7 c Let i = -24171.06 + 24171. Let v = 1.2 + -0.2. What is the second smallest value in i, 6, v? v Let r = 3590992/13 - 276360. Let v = -130 - r. Let x = 9.0625 + -12.0625. What is the second biggest value in v, x, -8? x Suppose 14*z + 1426 + 122 = -29*z. Let r(j) = -j**2 - j + 4. Let t be r(6). Let h = z - t. Which is the biggest value? (a) 0 (b) 4 (c) h (d) 0.4 b Let g = -529.5 + -25.5. Let s = -557 - g. What is the third smallest value in s, 13, 0.4? 13 Let q = -23/95 + -3/19. Which is the second biggest value? (a) -3/5 (b) 12 (c) -0.3 (d) q c Let y(w) = -w**2 + 2. Let u be y(-2). Let i = 2737/111 + -900/37. Which is the biggest value? (a) 4 (b) -2/195 (c) i (d) u a Let q be 21/12 - (-6)/(-8). Let z be (1001/39)/(-7) + 2/q. What is the second biggest value in -5, z, 2/81? z Let x = 1.75554 + 0.24446. Which is the second biggest value? (a) 48 (b) x (c) -8/3 b Let l be 2*((-36)/33 + 1). Let z = -32647 - -32631. What is the third smallest value in l, -0.1, z? -0.1 Let w = 449/1562 + -15/142. Suppose -18*l - 40 = -13*l. Let r = l - -4. What is the second smallest value in 2/15, r, w, 4? 2/15 Let n = -0.02 + 0.02. Let t = 31.7 + -48. Let s = 15.9 + t. Which is the third biggest value? (a) s (b) n (c) 1 (d) -2/7 d Suppose -t = -3*n + 21, 0 = -16*n + 21*n - 45. Which is the smallest value? (a) t (b) 4/3 (c) 1.14 c Let t = 16117.2 + -16117. What is the third smallest value in 21, 0.05, 0, t, -3? 0.05 Let a be -13 + 54*14/84. What is the smallest value in -2/7, a, 0.1, 2? a Let f = -432.68 + 431. Let k = 0.18 + f. What is the smallest value in 4, k, -0.1? k Let g = 93.42 - 121.42. Which is the biggest value? (a) 1/6 (b) g (c) -2/13 (d) 1 d Let w(i) = 11*i + 20. Let p be w(-2). What is the biggest value in -1, 2/31, p, -2/5, 4? 4 Let b = -1.5285 - -1.2285. What is the smallest value in 2, b, 9/2? b Let j = -2008195/11 - -182783. Let q = -220 + j. Let k = 8 - 7.6. Which is the second smallest value? (a) -0.02 (b) q (c) k a Suppose -21 = -o + 9. Let u = 12/3559 - 10737/17795. Which is the third smallest value? (a) -3/4 (b) u (c) o c Let m be ((-3)/(-4))/(3/32*4). Let i(g) = g + 8. Let q be i(4). Let w be (-8)/10*(q/8 - 3). Which is the fourth smallest value? (a) w (b) m (c) -4 (d) 0.1 b Let d = 88865 + -12707856/143. Let u = -17/13 - d. Which is the second smallest value? (a) -0.2 (b
{ "pile_set_name": "DM Mathematics" }
) 1 (d) -27 (e) 0.0152 (f) 1/6 c Which is the third smallest value? (a) 13/5 (b) -0.3 (c) -6392/11 a What is the third smallest value in 3, 2/11, 56, 0.5, -80532, -1.2? 2/11 Which is the second biggest value? (a) -3 (b) 1028 (c) -4.03 a Which is the third smallest value? (a) -484 (b) -13 (c) -505 (d) -1 (e) -1/7 b Which is the smallest value? (a) 9 (b) -2/9 (c) 4 (d) -2 (e) 4404/11 (f) 3/5 (g) 1 d Which is the biggest value? (a) -0.5 (b) 28 (c) -3/9359 b What is the fourth biggest value in 3, 4/3, -2/9, 0.003, -0.3, -9.2? -2/9 Which is the third biggest value? (a) -8 (b) 47 (c) -1637 (d) -6.3 a Which is the third biggest value? (a) 72 (b) -2 (c) -3.13 (d) -1/3066 (e) -3 b Which is the smallest value? (a) 1 (b) 1.71 (c) -6887 c Which is the second biggest value? (a) -14168069 (b) 8 (c) 2 c What is the second smallest value in 37265/9, -126, 2? 2 What is the fourth smallest value in 0, -1/399, 2, -4? 2 What is the fifth biggest value in 4/5, 2/5, -0.0315, 4, -8, 20? -0.0315 Which is the fifth smallest value? (a) -434 (b) 3 (c) 4 (d) 1 (e) 0.35 (f) 1/134 b Which is the third biggest value? (a) -1/4 (b) 3/14 (c) -5353729 c What is the smallest value in -16, 3, -13/47, 14, -3, 0.3? -16 What is the third biggest value in 4178, -10, -8, -0.2? -8 What is the third biggest value in -0.4, 4.1, 2, 0.2, -0.07, 4? 2 What is the smallest value in 1/9, 4, -31, -15, -221? -221 Which is the fourth biggest value? (a) 6/5 (b) 0.5 (c) -2/11 (d) 10 (e) 1/3 (f) -13/49 e What is the third biggest value in 31, -1/8, 0, 5, -0.4, -54, 2/7? 2/7 Which is the fifth smallest value? (a) 0.3 (b) -2/15 (c) 7 (d) 2/9 (e) 2/57 (f) 7/5 f What is the second biggest value in 0.08, -1380.338, -1/2? -1/2 What is the third biggest value in 249, -3.1, 0.2, 18, -5? 0.2 What is the fifth smallest value in 8, 17, 1/40, 3, 0.3? 17 What is the third smallest value in -48, -8/7, 0.5, 1, 10, -31? -8/7 What is the second biggest value in -214, -2/39, 12192, 0? 0 What is the third smallest value in 844, 1/3, -804? 844 Which is the sixth smallest value? (a) 33 (b) -2/13 (c) -1 (d) 22 (e) -0.3 (f) 0.139 a What is the biggest value in 0, -4, -0.8, -2, -15, 6/7, -117? 6/7 What is the fifth biggest value in 6, -2, 0.32177, -0.2, 0.3? -2 What is the fourth smallest value in 5, 8/13, -1/7, -53, 0.4, -0.16, 2/11? 2/11 Which is the third biggest value? (a) -64 (b) 27102 (c) 0.5 (d) 5 c What is the second smallest value in 1/2, 1, -2/9, -71, -18, -74? -71 What is the fourth biggest value in -9, -1.9, 7.2, 59/5, 2? -1.9 What is the sixth biggest value in 3, 1178, 4, 1.3, 0, -0.5? -0.5 Which is the smallest value? (a) -33/10 (b) 2/17 (c) 18 (d) 1842 (e) 0.1 a Which is the biggest value? (a) -3 (b) -8790 (c) 17 (d) -1/3 c Which is the fifth smallest value? (a) -6.36 (b) 0 (c) 0.44 (d) 2 (e) -9.1 (f) -4/5 c Which is the fourth smallest value? (a) -53 (b) -6 (c) 162 (d) 1 (e) -2/11 d Which is the biggest value? (a) 0.11 (b) 3.4 (c) 22/413 b Which is the fifth smallest value? (a) -5 (b) 0 (c) -1/5 (d) -12 (e) 0.27235 e What is the fourth smallest value in 3.7, 4/7, -0.4, -4, -0.0821, 2/5, -1/2? -0.0821 What is the biggest value in -8, -4/11, -5, -3/2, 153? 153 Which is the second smallest value? (a) -0.2 (b) 0.04 (c) 1/2 (d) 319 (e) 0.12 (f) -1/2 (g) 3/5 a What is the second smallest value in 3/2, -0.4, 7, 1/7, 28, 0.01? 0.01 Which is the third biggest value? (a) -8/9 (b) 3/8 (c) 1.012 a Which is the third biggest value? (a) 0.4 (b) -9 (c) -1 (d) 0 (e) 145807 d Which is the smallest value? (a) -390884 (b) 0.2 (c) -0.42 a Which is the fifth smallest value? (a) -5 (b) -5/7 (c) 0.5 (d) -2/15 (e) -54883/14 c What is the second biggest value in 0.5, 1581, 0.08, 6/43, 3? 3 Which is the sixth biggest value? (a) -0.7 (b) 1 (c) 0.3 (d) 116/209 (e) 1/8 (f) 5 a What is the second biggest value in -1492, 4, -2/11, -3/11, -3? -2/11 Which is the fifth smallest value? (a) -0.3 (b) -2/9 (c) 4/5 (d) 882 (e) -3 d What is the second smallest value in 83.6, 0.33, 0.012, -5, -1? -1 Which is the fifth smallest value? (a) 0 (b) -5.22 (c) 175 (d) 4 (e) 0.7 c What is the second biggest value in 2/5, 8, 0, -22407/19, -2? 2/5 What is the biggest value in 0, -2/175, 1504, 0.2? 1504 Which is the fourth smallest value? (a) 1 (b) -1/7 (c) -5 (d) -306279 (e) 9 a What is the fifth biggest value in 5, -0.0067, 52, 3, -0.3, 2/15? -0.0067 Which is the third smallest value? (a) -0.2 (b) 1/11 (c) -1394 (d) 3 (e) 98 b What is the second smallest value in -135/4, 0.1, -0.5, 3, -1/42024, 6/5? -0.5 Which is the second smallest value? (a) -0.1 (b) 0.013727 (c) -0.3 (d) -3 c Which is the third biggest value? (a) 4 (b) -5 (c) 0.5 (d) 5 (e) 2/5 (f) 3 (g) -5456.5 f Which is the third smallest value? (a) -2/7 (b) 2 (c) 78106.1 c What is the third biggest value in -4/25, -4, -0.05, -82, -1/6? -1/6 Which is the third biggest value? (a) 1435 (b) 0.1367 (c) -1/19 c Which is the sixth biggest value? (a) -1.2 (b) 4.72 (c) -1/2 (d) -4 (e) -23.4 (f) -0.1 e Which is the second biggest value? (a) -5 (b) -2/9 (c) -95379/7 a Which is the third biggest value? (a) 1/7 (b) 0 (c) 0.2 (d) 0.1 (e) -937 (f) 180 (g) -3/7 a What is the second biggest value in -0.2, -3, 1/20, 31, 1/4? 1/4 What is the third biggest value in -1.09081, 188, 0.2? -1.09081 Which is the third biggest value? (a) 27 (b) -0.5 (c) -1.43 (d) 30 (e) -4 b What is the fourth biggest value in 11/4, 4, -1/8, -0.5, -11, -75, 2/5? -1/8 Which is the biggest value? (a) -2/5 (b) 2/5 (c) 11/121878 b Which is the sixth biggest value? (a) 5 (b) -1 (c) -0.2 (d) 4/5 (e) 0 (f) -15142 (g) -4 g Which is the smallest value? (a) 0.03 (b) -1009 (c) -10 (d) 10/9 b Which is the second smallest value? (a) -2.712 (b) 3 (c) -1 (d) 2/15 (e) 3/2 c What is the smallest value in 2, 4.7, -2, -0.4, 1/600? -2 What is the second biggest value in 4/19, 34, -0.13832? 4/19 Which is the second smallest value? (a) -1439 (b) 0.2 (c) 2/23 (d) 1.9 c What is the third smallest value in -7, -3/5, -109958, 8? -3/5 What is the second smallest value in 0.08, -58, -3/5, 1/11, 6.1? -3/5 Which is the third biggest value? (a) 4/31 (b) -0.51 (c) -122 (d) -0.03 b Which is the biggest value? (a) -79/3 (b) 4 (c) -1 (d) 707 d What is the sixth smallest value in -0.3, 6, 0, 1/44, -0.5, -0.1, 0.018? 1/44 What is the fifth biggest value in 0, 17, -0.08, 0.17, -1.5, -4? -1.5 What is the fourth biggest value in -1/65, -97, 0.2, -3, -1/7, -5, 15? -1/7 What is the sixth biggest value in 138, -2/5, 5, 0, 1/2, -0.02, -0.1? -0.1 What is the sixth smallest value in 0.4, 2, -3, -1, 11, -4, -1086/5? 2 What is the third biggest value in 2343, 0.3, 3, 1/3093? 0.3 What is the fourth biggest value in -0.9, 0.9, 2/9, 0.5, -22.85? -0.9 Which is the sixth smallest value? (a) -1/2 (b) -14/13 (c) 1 (d) 5/14 (e) 0.2 (f) 1.7 (g) -1/36 c Which is the third biggest value? (a) -1/2 (b) 0.4 (c) -917527 c What is the smallest value in 0.7, 3/11, -0.14, -0.0045, 0.2, -2/7? -2/7 Which is the second biggest value? (a) 57/10 (b) -15 (c) 0.3 (d) -177.3 c What is the third smallest value in 0, 3095, -344, -2/9? 0 What is the second smallest value in -96/7, 9886, -2/51? -2/51 Which is the fifth smallest value? (a) -0.03 (b) -0.2 (c) -5211 (d) 1 (e) 14 e What is the fifth biggest value in 0.1, 0.0553, -0.1, 3, -0.014, 3/5? -0.014 Which is the second smallest value? (a) -6 (b) -5 (c) 1/6 (d) -2/91 (e) 0.3 (f) 1846 b What is the sixth smallest value in -5, -0.4, 0.15578, 2, 23, -0.078? 23 What is the biggest value in 8/23, -0.0439, 0.2, 3, 5? 5 What is the smallest value in 5, -12, 0, -5/2, -376/9? -376/9 What is the fourth smallest value in -148/585, 0.5, 832, 1? 832 Which is the fourth smallest value? (a) -1 (b) 5 (c) -147/11521 (d) 4 (e) -0.2 d What is the third smallest value in 213, -0.5568, 316? 316 What is the fourth biggest value in -108, 201, -1, -19? -108 Which is the fourth biggest value? (a) 5 (b) -2 (c) -7.135475 (d) -0.2 c Which is the smallest value? (a) 2 (b) 3.81 (c) 0.2 (d) 0.02 d What is the smallest value in -3/14, -0.2, 5,
{ "pile_set_name": "DM Mathematics" }
.0001 Let c(m) = -224*m**2 + 8*m - 10. Let x be c(-7). Suppose -6*n + n + 3*k = 31701, -5*k - 15 = 0. Let v = n - x. What is v rounded to the nearest one thousand? 5000 Let j = -4.7 - -51.7. Let s = 46.62 - j. What is s rounded to 1 decimal place? -0.4 Let u = -0.08 - -0.24. Let z = -2166720.16000112 + 2166720. Let m = z + u. What is m rounded to seven dps? -0.0000011 Let n = 2.83 + -0.42. What is n rounded to 1 decimal place? 2.4 Let t = 871903 - 6771903. What is t rounded to the nearest 1000000? -6000000 Let k = 16 - 15.76. What is k rounded to 1 decimal place? 0.2 Let h = -356 + 356.307. What is h rounded to 2 dps? 0.31 Let d = 2939821923133 + -2939821969768.15099943. Let q = 46635.1 + d. Let x = -0.051 - q. What is x rounded to seven dps? -0.0000006 Let y = -0.83902 - -1.138964. Let h = -0.3 + y. What is h rounded to 5 dps? -0.00006 Let i = 2.49999964 + -2.5. Round i to 7 dps. -0.0000004 Let q = -2.9 - 1.1. Let f = 0.016 + -4.116. Let c = q - f. What is c rounded to zero decimal places? 0 Let w = 21 - 7. Suppose w = 5*d - 6. Suppose o = 4*k + 2799995, 1230622 = -d*k - 5*o - 1569403. Round k to the nearest 1000000. -1000000 Let u = 9.3 - 9.300067. Round u to 5 decimal places. -0.00007 Let k = -16286973 + 16286974.6000042. Let d = -1.6 + k. What is d rounded to six dps? 0.000004 Let x = 18 + -18.35. Let p = x - -0.11. Let c = p + -0.01. Round c to one decimal place. -0.3 Suppose 61 + 7 = t. Let z be 1875*t*(-32)/6. Round z to the nearest one hundred thousand. -700000 Let s(j) = -134998*j**2 - 3*j - 2. Let y be s(2). What is y rounded to the nearest 100000? -500000 Let f(i) = -561*i**2 - 4*i. Let b be f(-4). Let l = -2547 + -2413. Let m = b - l. What is m rounded to the nearest one thousand? -4000 Let m = -0.00791 - -0.15233. Let i = m - 0.143. What is i rounded to 4 dps? 0.0014 Let b = -0.1 + 7.1. Let x = 6.99996 - b. Round x to four dps. 0 Suppose g = 3*z - 1714, 0*g + g + 2285 = 4*z. Suppose -z = 3*m + 5*x - 6*x, -x + 381 = -2*m. What is m rounded to the nearest one hundred? -200 Let i = -8081511483 + 8082173037.0059. Let c = i + -661591. Let h = c + 37. Round h to 3 decimal places. 0.006 Let b = 731822 - 724619.78. Let n = b + -7297. Let z = n - -94. What is z rounded to 1 decimal place? -0.8 Let v(b) = -1619991*b - 45. Let f be v(5). What is f rounded to the nearest one million? -8000000 Let g be 10*(-2)/(-4) + -2. Suppose 5*s + 8400000 = 2*v, g*v + 5*s - 12600000 = -0*v. What is v rounded to the nearest 1000000? 4000000 Let x = -55.2 - -11.5. Let d = x - -46. What is d rounded to the nearest integer? 2 Suppose 0 = 4*b - 20. Suppose b*z = 24 - 4. Suppose 4*q + 492 = 2*d + d, -z*q - 4*d = 464. Round q to the nearest one hundred. -100 Let q(c) = 1 - 2*c + 1 + c. Let m be q(4). Let y(n) = -16249*n**3 + 2*n**2. Let w be y(m). Round w to the nearest 100000. 100000 Let s = -35.9 - -19.3. Let y = -18 - s. Let k = y - -1.40081. Round k to 4 decimal places. 0.0008 Let n = 44213.3698 - 570.1798. Let q = n - 43830. Let u = q - -186. What is u rounded to 1 decimal place? -0.8 Let i = 8 - 7.999672. What is i rounded to four decimal places? 0.0003 Let y be -1 + 1 - (3 - -8). Let s(o) = o + 14. Let d be s(y). Suppose d*p + 4*b = 99008, 2*b - 4 = -0. What is p rounded to the nearest ten thousand? 30000 Let m = 279152 + -279009.0202. Let c = m - 143. Round c to three dps. -0.02 Let g = -0.55 + 1.77. Let u = g - -0.2. What is u rounded to one decimal place? 1.4 Let s = 24163534 + -67308197. Let u = s + 43144659.3000017. Let g = u - -3.7. What is g rounded to 6 decimal places? 0.000002 Suppose 0 = -5*b + b + 16. Suppose 1 + 7 = b*x. Suppose -j + 3*d = 3*j - 1199994, -2*d + 600004 = x*j. What is j rounded to the nearest one hundred thousand? 300000 Let s = -1.98 - -2. Let m = s - 0.13. What is m rounded to 1 decimal place? -0.1 Let u = -654.0299 + 654. What is u rounded to 3 decimal places? -0.03 Let i = 3 + 2. Suppose 1301785 = d + i*s, -2*s + 1301781 = d + 2*s. Suppose -d = -y + 4898235. What is y rounded to the nearest one million? 6000000 Suppose -5*i - 71 = -41. Round i to the nearest ten. -10 Suppose 16*l - 20*l - 16400000 = 0. Round l to the nearest 1000000. -4000000 Let v = -5 - -4.95. Let l = v - -0.0500005. Round l to six dps. 0.000001 Let v = 361726.9500011 + -361707.95. Let k = -19 + v. What is k rounded to 7 dps? 0.0000011 Let s(a) = -317500*a**3 - a**2 + 4. Let o be s(-2). What is o rounded to the nearest 100000? 2500000 Let i = 201.8 + 42.2. Let y = i + -469. Let n = y + 226.13. Round n to 1 dp. 1.1 Let a = -0.057 - 1.543. What is a rounded to the nearest integer? -2 Let d = 11 + -10.9993. What is d rounded to 3 decimal places? 0.001 Let b = 19.0046 - 19. Let r = 0.1077 - b. Let x = r - 0.095. Round x to three decimal places. 0.008 Let k = -28348 - -28347.9939973. Let r = -0.006 - k. Round r to six dps. 0.000003 Let g = 75.6 - 75.60000329. What is g rounded to 7 decimal places? -0.0000033 Let k = 0.2 + -0.144. Round k to 2 decimal places. 0.06 Let d = -2625 + 9210. Suppose -3*g + d = -3*r, g + 4*r = 2*g - 2180. Round g to the nearest 1000. 2000 Let m = 12.864 + 4.226. Let w = m + -17. Let u = -0.09067 + w. What is u rounded to 4 decimal places? -0.0007 Let y = -0.13 + 0.24. Let z = -1.31 + y. What is z rounded to 0 dps? -1 Let y = -54003143 + 33994007. Let u = -33909136 - y. Round u to the nearest 1000000. -14000000 Let b(u) = u**2 - u + 4. Let l be b(3). Suppose -3*c = -o - 45, -4*o + l = -4*c + 198. Let s be (2 + 0 - 1) + o. What is s rounded to the nearest 10? -50 Let j = -19.904883563 - 0.095116537. Let k = -20 - j. What is k rounded to seven decimal places? 0.0000001 Let q = -0.148 + -9.952. What is q rounded to the nearest integer? -10 Let t = -139702 + 139691.0013. Let o = -3 - 8. Let y = o - t. Round y to 3 dps. -0.001 Let r = -410027 + 587027. What is r rounded to the nearest ten thousand? 180000 Let z = 3.68146 + -0.08846. Let x = -1.596 + z. Let p = -2.1 + x. What is p rounded to 2 decimal places? -0.1 Let t = 0.6926576 + 6.30734217. Let z = -7 + t. What is z rounded to 7 decimal places? -0.0000002 Let i = 602 - 1867. Let l = -1268.066 - i. Let v = l - -3. What is v rounded to 2 dps? -0.07 Let s = -3.9 + 3.8997. Round s to four decimal places. -0.0003 Let k = -2186.0913 - -2186. What is k rounded to two decimal places? -0.09 Let r be 24/40 - 7/(-5). Suppose 276 = 4*x - x. Suppose x = -2*u - r*u. What is u rounded to the nearest ten? -20 Let u = 0.55 - -4.35. Round u to 0 dps. 5 Let z = 12 - 105. Let d = z - -93.000067. What is d rounded to 5 dps? 0.00007 Let s = -9 - -9. Suppose s = -5*l - 3 + 8. Let y be (-14)/(-4) + l/2. What is y rounded to the nearest ten? 0 Let j = 4.3556696 - 7.4094313. Let k = 0.0537517 + j. Let h = -3 - k. Round h to four decimal places. 0 Let y = 0.13 - 0.01. What is y rounded to 2 dps? 0.12 Suppose -7*b + 5*b + 472000 = 0. What is b rounded to the nearest ten thousand? 240000 Let w = 317017007 - 317017090.0000156. Let y = -83 - w. Round y to six decimal places. 0.000016 Let c = -10.08 - -10. Let l = c + 0.0972. Let g = l + -0.02. Round g to three decimal places. -0.003 Let h(l) = -l**3 - 6*l**2 - l - 6. Let o be h(-6). Suppose -135 = t - o*t - y, -4*y = -2*t - 272. What is t rounded to the nearest 10? -130 Let u = 0.04 - 0.34. Let l = u - -1.41. Let b = l + -1.163. What is b rounded to 2 decimal places? -0.05 Let p = 75 - 90.5. Round p to zero dps. -16 Suppose 19 = -3*a - 8. Let r(l) = 877*l**2 + 3*l - 10. Let f be r(a). What is f rounded to the nearest 10000? 70000 Let i = 16 - 11. Suppose 605 = -0*b + i*b. Round b to the nearest 10. 120 Let l = -505415.1 + 505186.0781. Let m = 229 + l. What is m rounded to three decimal places? -0.022 Suppose -4*t + 2*n = 23600010, -6*t + 3*t + 5*n = 17700025. What is t rounded to the nearest 1000000? -6000000 Let u(o) = -o - 3. Let g be u(0). Let w be (-16)/(-6) - g/9. Suppose 2673 = -3*m - 5*r + 48, -2*r - 2616 = w*m. Round m to the nearest one hundred. -900 Let l = -2007.4968 + 2023.5. Let i = 16 - l. Round i to three dps. -0.003 Let i = -18 + 30. Let o = i - 9.1. Round o to zero dps. 3 Suppose -5*j = 78134 - 293134. Round j to the nearest 10000. 40000 Let h = 0.48414224 - 0.31414073. Let i = h + -0.17. What is i rounded to seven decimal places? 0.0000015 Let p
{ "pile_set_name": "DM Mathematics" }
tors of 334859. 7, 47837 What are the prime factors of 269041? 269041 List the prime factors of 3242108. 2, 199, 4073 What are the prime factors of 2615444? 2, 13, 53, 73 What are the prime factors of 292864? 2, 11, 13 What are the prime factors of 917068? 2, 229267 List the prime factors of 21359. 13, 31, 53 List the prime factors of 8603068. 2, 47, 67, 683 What are the prime factors of 281469? 3, 17, 5519 What are the prime factors of 2546959? 2546959 What are the prime factors of 627713? 163, 3851 What are the prime factors of 14772782? 2, 7386391 What are the prime factors of 142268? 2, 7, 5081 What are the prime factors of 9626604? 2, 3, 13, 23, 2683 What are the prime factors of 225671? 225671 What are the prime factors of 20236103? 17, 1190359 List the prime factors of 124243. 7, 17749 What are the prime factors of 4307702? 2, 7, 307693 List the prime factors of 675229. 41, 43, 383 What are the prime factors of 383414? 2, 191707 What are the prime factors of 1762953? 3, 19, 157, 197 List the prime factors of 23407672. 2, 1483, 1973 What are the prime factors of 104888? 2, 7, 1873 List the prime factors of 6660015. 3, 5, 444001 List the prime factors of 228808. 2, 37, 773 List the prime factors of 4873163. 4873163 List the prime factors of 4922778. 2, 3, 7, 117209 What are the prime factors of 173136? 2, 3, 3607 List the prime factors of 1499164. 2, 131, 2861 What are the prime factors of 1594008? 2, 3, 13, 131 List the prime factors of 131403. 3, 43801 What are the prime factors of 9057701? 9057701 What are the prime factors of 292623? 3, 103, 947 List the prime factors of 13012682. 2, 19, 443, 773 List the prime factors of 15217867. 7, 2173981 List the prime factors of 451462. 2, 11, 20521 What are the prime factors of 49684? 2, 12421 List the prime factors of 1754791. 17, 109, 947 What are the prime factors of 2294851? 13, 37, 367 List the prime factors of 82673. 47, 1759 What are the prime factors of 5656077? 3, 7, 89779 What are the prime factors of 645811? 409, 1579 List the prime factors of 7414192. 2, 463387 What are the prime factors of 1984863? 3, 661621 List the prime factors of 9502939. 41, 231779 What are the prime factors of 1322353? 1069, 1237 What are the prime factors of 19618720? 2, 5, 11, 71, 157 What are the prime factors of 196144? 2, 13, 23, 41 What are the prime factors of 1277690? 2, 5, 67, 1907 List the prime factors of 11555502. 2, 3, 7, 275131 List the prime factors of 263667. 3, 179, 491 List the prime factors of 10084627. 7, 71, 103, 197 What are the prime factors of 237192? 2, 3, 9883 List the prime factors of 294216. 2, 3, 13, 23, 41 What are the prime factors of 10583139? 3, 7, 503959 What are the prime factors of 826692? 2, 3, 68891 What are the prime factors of 28650? 2, 3, 5, 191 List the prime factors of 415098. 2, 3, 7687 What are the prime factors of 2840362? 2, 7, 23, 8821 List the prime factors of 51301. 29, 61 What are the prime factors of 431280? 2, 3, 5, 599 List the prime factors of 36134. 2, 7, 29, 89 What are the prime factors of 289984? 2, 23, 197 List the prime factors of 387112. 2, 11, 53, 83 List the prime factors of 1667455. 5, 333491 What are the prime factors of 1825593? 3, 7, 11, 1129 List the prime factors of 240291. 3, 26699 List the prime factors of 23996570. 2, 5, 13, 197, 937 What are the prime factors of 1672836? 2, 3, 11, 19, 23, 29 List the prime factors of 7444091. 79, 94229 List the prime factors of 38109365. 5, 7, 1088839 What are the prime factors of 2208430? 2, 5, 7, 4507 List the prime factors of 127822. 2, 79, 809 List the prime factors of 912079. 7, 29, 4493 What are the prime factors of 976259? 17, 57427 List the prime factors of 3099304. 2, 13, 17, 1753 What are the prime factors of 9673352? 2, 13, 47, 1979 What are the prime factors of 1806887? 1806887 What are the prime factors of 3420697? 7, 61, 8011 List the prime factors of 9307997. 9307997 List the prime factors of 114388. 2, 28597 List the prime factors of 389375. 5, 7, 89 What are the prime factors of 8955818? 2, 283, 15823 List the prime factors of 775981. 61, 12721 What are the prime factors of 5708717? 7, 41, 19891 What are the prime factors of 79372? 2, 19843 List the prime factors of 79893. 3, 11, 269 What are the prime factors of 1266565? 5, 43, 137 List the prime factors of 205126. 2, 102563 What are the prime factors of 333464? 2, 73, 571 List the prime factors of 13918378. 2, 79, 137, 643 List the prime factors of 7243640. 2, 5, 47, 3853 List the prime factors of 135925. 5, 5437 List the prime factors of 892358. 2, 446179 List the prime factors of 389857. 13, 29989 List the prime factors of 7783675. 5, 311347 List the prime factors of 186690. 2, 3, 5, 7, 127 List the prime factors of 13816341. 3, 7, 11, 19937 What are the prime factors of 32184? 2, 3, 149 What are the prime factors of 1742455? 5, 11, 13, 2437 What are the prime factors of 556565? 5, 157, 709 What are the prime factors of 36107? 36107 List the prime factors of 3598977. 3, 1199659 What are the prime factors of 349166? 2, 174583 List the prime factors of 2164039. 2164039 List the prime factors of 447928. 2, 13, 59, 73 What are the prime factors of 270350? 2, 5, 5407 List the prime factors of 135853. 73, 1861 List the prime factors of 189760. 2, 5, 593 What are the prime factors of 87485? 5, 17497 What are the prime factors of 1435064? 2, 179383 List the prime factors of 3385170. 2, 3, 5, 29, 1297 What are the prime factors of 1416309? 3, 472103 List the prime factors of 13502010. 2, 3, 5, 450067 List the prime factors of 23072362. 2, 11536181 What are the prime factors of 714695? 5, 142939 List the prime factors of 318543. 3, 106181 What are the prime factors of 767140? 2, 5, 11, 317 List the prime factors of 130038. 2, 3, 21673 What are the prime factors of 1765107? 3, 43, 4561 What are the prime factors of 642387? 3, 214129 What are the prime factors of 123879? 3, 7, 17, 347 What are the prime factors of 2657582? 2, 337, 3943 What are the prime factors of 222936? 2, 3, 7, 1327 List the prime factors of 378506. 2, 189253 List the prime factors of 5923319. 5923319 List the prime factors of 7714361. 19, 23, 127, 139 What are the prime factors of 1376962? 2, 463, 1487 What are the prime factors of 612094? 2, 7, 43721 What are the prime factors of 12983640? 2, 3, 5, 257, 421 List the prime factors of 489647. 23, 61, 349 List the prime factors of 22036158. 2, 3, 408077 What are the prime factors of 6258233? 6258233 What are the prime factors of 2361564? 2, 3, 65599 List the prime factors of 1178490. 2, 3, 5, 163, 241 List the prime factors of 288247. 288247 What are the prime factors of 3225773? 23, 139, 1009 List the prime factors of 19535682. 2, 3, 281, 11587 What are the prime factors of 14891476? 2, 919, 4051 List the prime factors of 70794. 2, 3, 19, 23 What are the prime factors of 612438? 2, 3, 103, 991 List the prime factors of 16182005. 5, 7, 257 List the prime factors of 901446. 2, 3, 7, 13, 127 List the prime factors of 351163. 433, 811 List the prime factors of 142964. 2, 103, 347 List the prime factors of 21541130. 2, 5, 13, 165701 What are the prime factors of 336982? 2, 168491 What are the prime factors of 48689? 181, 269 What are the prime factors of 610128? 2, 3, 19, 223 List the prime factors of 7950. 2, 3, 5, 53 What are the prime factors of 14840073? 3, 41, 131, 307 What are the prime factors of 206841? 3, 68947 What are the prime factors of 250050? 2, 3, 5, 1667 List the prime factors of 3141459. 3, 349051 What are the prime factors of 275980? 2, 5, 13799 What are the prime factors of 7401191? 7, 61, 17333 List the prime factors of 35701579. 1669, 21391 List the prime factors of 233813. 61, 3833 List the prime factors of 40729. 13, 241 What are the prime factors of 93454? 2, 46727 What are the prime factors of 4389693? 3, 7, 11, 31, 613 List the prime factors of 10650610. 2, 5, 23, 46307 What are the prime factors of 504477? 3, 56053 What are the prime factors of 1365752? 2, 79, 2161 What are the prime factors of 388205? 5, 77641 List the prime factors of 2120899. 11, 23, 83, 101 What are the prime factors of 3918984? 2, 3, 283, 577 What are the prime factors of 125802? 2, 3, 29, 241 List the prime factors of 55502
{ "pile_set_name": "DM Mathematics" }
7000000 Let t = -19660 - 15680. Round t to the nearest 1000. -35000 Let r = -94 - -132. Let a = r + -37.9999812. What is a rounded to 6 dps? 0.000019 Let p = -724.2 - -813. Let x = -88.801053 + p. Let c = -0.001 - x. What is c rounded to five dps? 0.00005 Let c be 2907/36 - 9/12. Let m = -83 - c. What is m rounded to the nearest 10? -160 Let l = 27524 + -51524. What is l rounded to the nearest one hundred thousand? 0 Let c = 187 + -158. Let m = -27.47571 - 1.51449. Let n = c + m. What is n rounded to 3 dps? 0.01 Let a = 714.9877 - 760.986. Let v = -46 - a. What is v rounded to three dps? -0.002 Let q = 362.02 + 124.93. Let h = q - 499. Let n = -12 - h. What is n rounded to 2 dps? 0.05 Suppose -5*u - 4*d - 6 - 10 = 0, 5*d = -20. Let p(y) = 15796*y + 1. Let j be p(3). Suppose u = -t + 36611 + j. What is t rounded to the nearest ten thousand? 80000 Let a(s) = -s**2 - s - 1. Let f(j) = 182400*j**2 + 2400*j + 2400. Let b(y) = 2400*a(y) + f(y). Let g be b(-5). Round g to the nearest 1000000. 5000000 Let i be (50455/15)/((-28)/84). Round i to the nearest 1000. -10000 Let t = 0.57 - -35.43. Let n = t - -25. Let k = n + -60.873. What is k rounded to 2 decimal places? 0.13 Let v = 4750.022 + -2138889.022. Let f = -2134139.9100252 - v. Let n = 0.91 + f. Round n to six decimal places. -0.000025 Let b = 1535.5 + -2043. What is b rounded to the nearest ten? -510 Let u = -16926.517 - -16934. Let n = u + 0.017. Round n to 0 dps. 8 Suppose -2*t - 278400028 = -3*t. Let w be (-3)/4 - (1 + t/(-16)). Round w to the nearest one million. 17000000 Let r be 40/(-12)*1*6. Let y be ((-400)/(-3))/(r/(-3750)). What is y rounded to the nearest one thousand? 25000 Let z = 172374.34099 - 172373. Let r = -125 + 123.66. Let j = r + z. What is j rounded to 4 dps? 0.001 Suppose 13*x - 11876407 - 40344593 = 0. What is x rounded to the nearest one million? 4000000 Let v = -13285734 + 13285745.9999571. Let x = v + -12. What is x rounded to 5 dps? -0.00004 Suppose 719*r + 21390 = 722*r. What is r rounded to the nearest one thousand? 7000 Let y(b) = -4*b**2 - 22*b + 13 + 2*b**2 + 12*b + 9*b. Let d be y(8). Round d to the nearest 10. -120 Let p = 15.5239 + -0.0739. Let x = p + -16. What is x rounded to 1 dp? -0.6 Let z = 0.7 + -1.5. Let t = 6570 + -6569.200008. Let w = t + z. What is w rounded to five decimal places? -0.00001 Let o = -0.7 + -27.3. Let m = -32.2 - o. Let n = m - -4.1999967. What is n rounded to 6 dps? -0.000003 Let n(t) be the second derivative of 88756*t**3/3 - t**2/2 - 7*t. Let y be n(-2). Let m = y + -15544975. What is m rounded to the nearest 1000000? -16000000 Let a = 162.0974299 - 17.0975239. Let n = -145 + a. What is n rounded to 5 dps? -0.00009 Let r = -23.342 - -23.6. Round r to 2 decimal places. 0.26 Let w = 0.141 + -13.351. Round w to the nearest integer. -13 Let u = -69 + 312. Let j = 224.1 - u. What is j rounded to the nearest integer? -19 Let n = -12 + 3. Let w(y) = -1198*y**2 - 14*y + 4. Let i(g) = g**2 - g + 1. Let v(r) = 12*i(r) - w(r). Let j be v(n). What is j rounded to the nearest 10000? 100000 Let o = 57.142 + -0.142. Let r = -45.5 + o. What is r rounded to the nearest integer? 12 Let d = 12.5 - 10. Let h = -2.44 + d. Let z = h - -0.22. What is z rounded to 1 dp? 0.3 Let c = -22.3 + 13.2. Let h = c - -9.09999939. Round h to seven decimal places. -0.0000006 Suppose -5*p + 10 = 2*f - 9, 7 = f + 5*p. Let u be 104*(f/(-8) - -4). Round u to the nearest one hundred. 300 Let i(w) = 53*w - 19. Let r be i(8). Suppose 0 = -h - r - 452. Round h to the nearest 100. -900 Let r = 133839.907 + -135084.3. Let t = r + 1233.8. Let z = 0.107 - t. What is z rounded to 0 dps? 11 Let u(n) = -14 + 28*n - 10 - 16 + 50417*n**2 + 35. Let t be u(-19). Round t to the nearest 1000000. 18000000 Suppose 0 = -5*p + 4 - 104. Let o = p + 24. Suppose o*s = s + 60600. Round s to the nearest 1000. 20000 Let x(t) = 2205*t + 510. Let u be x(-22). What is u rounded to the nearest 100000? 0 Let i = 669510884.3999647 - 669510314.4. Let q = i + -570. What is q rounded to 5 decimal places? -0.00004 Let u = 4 - 3.96. Let b = u - 2.54. Let m = -2.5005 - b. What is m rounded to four dps? -0.0005 Let w = -2558 - -2541.23. Round w to 1 dp. -16.8 Let a = -11.331034 + 11.33. What is a rounded to 4 dps? -0.001 Let m = 61474396.002743531 - 0.002743531. Let p = m + -61474396.26999937. Let t = p + 0.27. What is t rounded to seven decimal places? 0.0000006 Let x(w) = -687777*w**2 - 22*w + 104. Let i be x(6). What is i rounded to the nearest one million? -25000000 Let f = -14512.846 + 14528. Let t = 15 - f. Round t to 2 dps. -0.15 Let f = -13 - -18. Suppose f*u + 2*g - 681 = -g, u - 2*g - 144 = 0. Suppose b - 3*b = -u. What is b rounded to the nearest ten? 70 Let i = 8149280 + -8144443.721. Let r = i - 4833. Let m = r - 3.3. Round m to two dps. -0.02 Let t = -10.2 + 87.2. Let z = t - 52. Let p = z + -24.99956. What is p rounded to 4 decimal places? 0.0004 Suppose 15901200 = -54*d + 40*d. What is d rounded to the nearest ten thousand? -1140000 Let z(g) = 2703*g + 2. Let c be z(-1). Let b = c - -1031. Round b to the nearest 100. -1700 Let h = 0.333 - -3.007. Let n = h + -3.34000278. What is n rounded to seven decimal places? -0.0000028 Let n = -1.43377 + -32.56527. Let p = n + 34. What is p rounded to four decimal places? 0.001 Let s = -20 + 21.2. Let o = s - 0.7. Round o to zero dps. 1 Let u(a) = -13*a + 1 + 13*a + 1950001*a**2 - 2. Let l be u(1). What is l rounded to the nearest 100000? 2000000 Let d = 358 - 362.506. What is d rounded to one dp? -4.5 Let i = -230.11 - -228. Round i to zero dps. -2 Let f = -28306718 + 47927037. Let z = f - 19620328.999931. Let l = z + 10. Round l to 5 dps. 0.00007 Let l = 2620.9999986812 + -2621. What is l rounded to seven decimal places? -0.0000013 Let y = -69 - -63.3. Round y to the nearest integer. -6 Let d = 27476709.2 + -27476694.1999943. Let f = -15 + d. What is f rounded to 6 dps? 0.000006 Let g = 206 + -590. Let r = 384.000209 + g. What is r rounded to 5 dps? 0.00021 Let l(k) = k**3 + 7*k**2 - 46*k - 37. Let j be l(-15). Round j to the nearest 10. -1150 Let z = 22742 - 7746. Suppose o + 0*u - u = -4998, 0 = -3*o + 2*u - z. Round o to the nearest 10000. -10000 Let b = 24 + 23. Let n = -47.000048 + b. Round n to 5 dps. -0.00005 Let w = 7669 + -12307. Let q = w + 10280. Suppose -642 = -u - q. What is u rounded to the nearest 10000? -10000 Let v = 411 + -176. Let n be -4*(-1)/(-2)*v. What is n rounded to the nearest one hundred? -500 Suppose 3*u = 277 - 10717. What is u rounded to the nearest one hundred? -3500 Let v = 2.36 - 0.16. Let r = v - 2.20145. Round r to 4 dps. -0.0015 Let n = -1.3 + -0.2. Let l = -3.569569 + 2.0695699. Let c = l - n. Round c to 7 decimal places. 0.0000009 Suppose -7*p + 48 = -9*p. Let l be -1*(20/70 - p/14). Round l to the nearest 10. 0 Suppose 0 = 3*u - 2*u - 4. Let z(i) = 3*i - i**3 + i - u*i**3 - 3*i**2. Let h be z(3). Round h to the nearest one hundred. -200 Let t = 2.48 - 26.68. Let u = 24.200266 + t. What is u rounded to five dps? 0.00027 Let v = -36.022 - -36. Let n = v + 0.0364. Round n to three dps. 0.014 Let f(g) = -g**3 - 7*g**2 + 8*g + 11. Let a be f(-8). Suppose -a*j + 450849781 = -98050219. Round j to the nearest 1000000. 50000000 Let c = -135 - -135.03. Let r = c - 0.0703. What is r rounded to 2 decimal places? -0.04 Let f = 563 + -562.9998897. Round f to 5 decimal places. 0.00011 Let l = 4635658 + -3235658. Round l to the nearest one hundred thousand. 1400000 Let u = 33.4 + -35. Let a = -1.58 - u. Round a to one decimal place. 0 Let b be ((-54200)/15)/((-2)/15). Suppose -b = z - 3*g, 65758 = -4*z - 3*g - 42642. Round z to the nearest 1000. -27000 Let q = -0.3332752866 + 162.3332851866. Let o = 162 - q. What is o rounded to six decimal places? -0.00001 Let h = -0.25574 + 0.253. Round h to 4 dps. -0.0027 Suppose -15 = -3*o - 3. Suppose 4*s - 2*r + 70380 = 3*r, -o*r + 35184 = -2*s. What is s rounded to the nearest 1000? -18000 Let g(n) be the first derivative of 225002*n**2 - 4*n + 22. Let b be g(1). Round b to the nearest 100000. 500000 Let z = 841 - 841.00000286. Round z to five decimal places. 0 Suppose 2*r = -0*g - 4*g - 186, 5*g - 10 = 0. Let a be r*(-1138 + 4) + 2. What is a rounded to the nearest ten thousand? 110000
{ "pile_set_name": "DM Mathematics" }
64604*o + 7 What is the r'th term of -4167, -16627, -37275, -66015, -102751, -147387, -199827? 16*r**3 - 4190*r**2 - 2*r + 9 What is the w'th term of -46997, -188522, -424575, -755156? -47264*w**2 + 267*w What is the w'th term of -1563889, -1563878, -1563861, -1563838, -1563809, -1563774, -1563733? 3*w**2 + 2*w - 1563894 What is the i'th term of -43120641, -43120643, -43120645? -2*i - 43120639 What is the t'th term of 1222891, 1222757, 1222623, 1222489, 1222355, 1222221? -134*t + 1223025 What is the z'th term of 769396, 769383, 769354, 769303, 769224, 769111, 768958? -z**3 - 2*z**2 + 769399 What is the j'th term of 1991, 5656, 11809, 20486, 31723? 6*j**3 + 1208*j**2 - j + 778 What is the l'th term of 40585, 73731, 106875, 140017? -l**2 + 33149*l + 7437 What is the l'th term of -4760, -7317, -9874? -2557*l - 2203 What is the b'th term of 21009327, 21009313, 21009295, 21009273? -2*b**2 - 8*b + 21009337 What is the h'th term of 304105683, 304105684, 304105685, 304105686, 304105687? h + 304105682 What is the k'th term of -112, -368, -682, -952, -1076, -952, -478, 448? 17*k**3 - 131*k**2 + 18*k - 16 What is the y'th term of -777, -4013, -7249? -3236*y + 2459 What is the y'th term of -92326, -184459, -276576, -368671, -460738, -552771, -644764? y**3 + 2*y**2 - 92146*y - 183 What is the z'th term of 69670, 139361, 209054, 278749? z**2 + 69688*z - 19 What is the a'th term of -31655302, -63310604, -94965906, -126621208? -31655302*a What is the v'th term of -13, -409, -1195, -2371, -3937, -5893? -195*v**2 + 189*v - 7 What is the c'th term of -14666, -59125, -133224, -236963, -370342, -533361, -726020? -14820*c**2 + c + 153 What is the z'th term of -1356, -812, 92, 1362, 3004, 5024, 7428, 10222? z**3 + 174*z**2 + 15*z - 1546 What is the b'th term of -388909, -388887, -388865? 22*b - 388931 What is the p'th term of 524, 1523, 3116, 5303, 8084, 11459, 15428? 297*p**2 + 108*p + 119 What is the q'th term of 1895061, 3790115, 5685167, 7580217, 9475265? -q**2 + 1895057*q + 5 What is the b'th term of 664989, 2660101, 5985287, 10640547, 16625881, 23941289, 32586771? 665037*b**2 + b - 49 What is the s'th term of -1183241, -1183181, -1183079, -1182935, -1182749, -1182521, -1182251? 21*s**2 - 3*s - 1183259 What is the h'th term of 352, 1476, 3314, 5866? 357*h**2 + 53*h - 58 What is the w'th term of -8600, -34306, -77114, -137024? -8551*w**2 - 53*w + 4 What is the p'th term of 119, -150, -823, -1900? -202*p**2 + 337*p - 16 What is the b'th term of -1070133, -1070494, -1070855, -1071216, -1071577, -1071938? -361*b - 1069772 What is the q'th term of 14882, 14949, 15016, 15083? 67*q + 14815 What is the l'th term of 1440674, 2881358, 4322042, 5762726? 1440684*l - 10 What is the o'th term of 56880, 113410, 169940, 226470, 283000, 339530? 56530*o + 350 What is the x'th term of 923175178, 923175180, 923175182, 923175184, 923175186? 2*x + 923175176 What is the s'th term of -373766, -747530, -1121294, -1495058? -373764*s - 2 What is the x'th term of 166293, 166264, 166235, 166206, 166177, 166148? -29*x + 166322 What is the p'th term of -3374, -6353, -8574, -9659, -9230? 63*p**3 + p**2 - 3423*p - 15 What is the d'th term of 2490, 4176, 5860, 7542, 9222, 10900? -d**2 + 1689*d + 802 What is the u'th term of 230896, 923322, 2077364, 3693022, 5770296, 8309186? 230808*u**2 + 2*u + 86 What is the y'th term of -908295, -908297, -908263, -908163, -907967, -907645, -907167, -906503? 5*y**3 - 12*y**2 - y - 908287 What is the w'th term of -35377, -70751, -106121, -141487, -176849, -212207? 2*w**2 - 35380*w + 1 What is the o'th term of 3505621, 3505617, 3505613? -4*o + 3505625 What is the u'th term of 219048761, 219048758, 219048757, 219048758, 219048761, 219048766, 219048773? u**2 - 6*u + 219048766 What is the d'th term of -1428108, -2856213, -4284318, -5712423, -7140528, -8568633? -1428105*d - 3 What is the y'th term of -1487, 816, 3121, 5428, 7737, 10048, 12361? y**2 + 2300*y - 3788 What is the m'th term of -42058, -42074, -42032, -41932, -41774, -41558, -41284? 29*m**2 - 103*m - 41984 What is the y'th term of -85792, -172053, -258312, -344569? y**2 - 86264*y + 471 What is the k'th term of 525, 608, 837, 1206, 1709, 2340? -k**3 + 79*k**2 - 147*k + 594 What is the h'th term of -17855051, -17855054, -17855057, -17855060? -3*h - 17855048 What is the r'th term of -367, -1236, -3109, -6484, -11859, -19732, -30601, -44964? -83*r**3 - 4*r**2 - 276*r - 4 What is the w'th term of -3478, -6827, -10170, -13507, -16838? 3*w**2 - 3358*w - 123 What is the h'th term of -2215, -7981, -13747? -5766*h + 3551 What is the c'th term of 1432, 1906, 3164, 5596, 9592, 15542? 65*c**3 + 2*c**2 + 13*c + 1352 What is the g'th term of 1255186, 1255201, 1255226, 1255267, 1255330, 1255421, 1255546, 1255711? g**3 - g**2 + 11*g + 1255175 What is the t'th term of 657, 1485, 2911, 4971, 7701, 11137? 6*t**3 + 263*t**2 - 3*t + 391 What is the g'th term of -1035534, -1035537, -1035540? -3*g - 1035531 What is the n'th term of -818962, -1638469, -2457976, -3277483, -4096990? -819507*n + 545 What is the a'th term of 40485, 81076, 121667, 162258? 40591*a - 106 What is the n'th term of 66494, 132981, 199468, 265955, 332442, 398929? 66487*n + 7 What is the s'th term of -14670, -29296, -43828, -58218, -72418, -86380, -100056? 8*s**3 - s**2 - 14679*s + 2 What is the l'th term of -207081, -414172, -621263, -828354, -1035445, -1242536? -207091*l + 10 What is the f'th term of 6870, 26294, 58266, 102786? 6274*f**2 + 602*f - 6 What is the y'th term of 4585, 4775, 5033, 5359, 5753, 6215, 6745? 34*y**2 + 88*y + 4463 What is the f'th term of 1472, 6525, 14876, 26525, 41472, 59717? 1649*f**2 + 106*f - 283 What is the m'th term of 1024, 1085, 1106, 1069, 956, 749, 430? -3*m**3 - 2*m**2 + 88*m + 941 What is the o'th term of 135969, 270334, 404699, 539064, 673429? 134365*o + 1604 What is the u'th term of -46307, -40891, -35475, -30059, -24643, -19227? 5416*u - 51723 What is the g'th term of 243944396, 243944390, 243944384? -6*g + 243944402 What is the m'th term of -8029, -32193, -72469, -128857, -201357, -289969, -394693? -8056*m**2 + 4*m + 23 What is the w'th term of 6672, 11875, 17086, 22311, 27556, 32827? w**3 - 2*w**2 + 5202*w + 1471 What is the a'th term of 161370, 322748, 484124, 645498? -a**2 + 161381*a - 10 What is the j'th term of -366576, -365991, -365024, -363681, -361968? -j**3 + 197*j**2 + j - 366773 What is the r'th term of 4507, 9523, 14549, 19591, 24655, 29747, 34873, 40039? r**3 - r**2 + 5012*r - 505 What is the u'th term of -6934, -6703, -6532, -6427, -6394, -6439? -u**3 - 24*u**2 + 310*u - 7219 What is the j'th term of 6894, 27645, 62254, 110721? 6929*j**2 - 36*j + 1 What is the q'th term of -127735, -136623, -145511, -154399, -163287, -172175? -8888*q - 118847 What is the o'th term of -12230, -24451, -36674, -48899, -61126? -o**2 - 12218*o - 11 What is the t'th term of -271861, -1087398, -2446627, -4349548? -271846*t**2 + t - 16 What is the h'th term of 3072, 6082, 9084, 12078, 15064, 18042? -4*h**2 + 3022*h + 54 What is the j'th term of -117818, -235637, -353456, -471275, -589094? -117819*j + 1 What is the n'th term of 2476975, 19815751, 66878145, 158525965, 309621019, 535025115, 849600061, 1268207665? 2476968*n**3 + n**2 - 3*n + 9 What is the n'th term of -896, -1660, -2934, -4718, -7012, -9816, -13130? -255*n**2 + n - 642 What is the l'th term of 218032, 438340, 658648, 878956, 1099264, 1319572? 220308*l - 2276 What is the l'th term of -358499, -1433912, -3226225, -5735438, -8961551, -12904564, -17564477? -358450*l**2 - 63*l + 14 What is the d'th term of 9558, 19251, 29218, 39597, 50526, 62143, 74586, 87993? 23*d**3 - d**2 + 9535*d + 1 What is the o'th term of 17354, 35287, 53220, 71153, 89086, 107019? 17933*o - 579 What is the w'th term of -204000, -203484, -202616, -201390, -199800, -197840? w**3 + 170*w**2 - w - 204170 What is the v'th term of -86, -1036, -3712, -8978, -17698, -30736? -144*v**3 + v**2 + 55*v + 2 What is the v'th term of -4148378, -4148382, -4148386? -4*v - 4148374 What is the f'th term of -191685, -766219, -1723771, -3064341, -4787929? -191509*f**2 - 7*f - 169 What is the a'th term of -2231, -4548, -6969, -9512, -12195, -15036? -3*a**3 - 34*a**2 - 2194*a What is the r'th term of 415475, 830947,
{ "pile_set_name": "DM Mathematics" }
number? False Let l(g) = -3*g + 3*g - 2*g**3 - 4*g**2. Let q be l(3). Is (-31970)/q - 4/18 prime? False Suppose -q + 4930 = 4*c, 4*q - 13195 - 6609 = 5*c. Is q a prime number? False Let x(d) = -d**3 + d**2 + d - 1. Let z be x(1). Suppose 0*q = j + 4*q + 217, z = -5*j - q - 1009. Is ((-12)/(-18))/((-2)/j) composite? False Let p = -18 + 25. Let b(g) = 80*g + 14. Let x be b(p). Suppose 2*k = -5*c + x, k + 2*k - 861 = -2*c. Is k prime? False Suppose 3027 = t - 1610. Is t prime? True Suppose 13*t - 22722 = 20659. Is t a prime number? False Suppose -3*k + 75 = 3*t, 2*k = -t + 38 - 9. Let u = 25 - t. Suppose u*h - 109 = -3*j, -4*h + 75 = 2*j + 9. Is j composite? False Let u(z) be the second derivative of 3*z**5/4 + z**4/6 - 2*z**3/3 + 3*z**2/2 + 23*z. Is u(2) a composite number? True Suppose -5*x = -3*x - 2. Suppose -f + 4*n - 2*n = -6, -4*n - 12 = 5*f. Is x*((-1319)/(-1) + f) prime? True Suppose 3*y = 4*f - 1, -7*y + 2*y + 3*f + 13 = 0. Let b(h) = 160*h + 3. Is b(y) prime? False Suppose 0*l = 4*l - 8, 4*y + 3*l = 30. Suppose 3*j + 0*t - 658 = -5*t, 20 = 4*t. Suppose -y*z + 7*z = j. Is z prime? True Let q(r) be the first derivative of 4*r**3/3 + 5*r**2/2 + 2*r - 29. Let h = -1 + 6. Is q(h) prime? True Let r(b) = b**2 + 15*b + 16. Let a be r(-14). Suppose 0 = -x - o + 8, 5*x = 2*x - a*o + 20. Suppose -9*s + x*s + 3*k + 1462 = 0, -3*s + k + 878 = 0. Is s prime? True Let w = -1 + 5. Suppose 6*o - w*o - 348 = 0. Let r = o - 107. Is r a prime number? True Let d = -906 - -53. Let r = d - -1527. Is r prime? False Let x(s) be the first derivative of s**5/10 + 5*s**4/12 + 2*s**3/3 - 2. Let m(t) be the third derivative of x(t). Is m(8) composite? True Let d be (-2)/(4/3 + -1). Is (2*-3)/(d/1779) composite? True Suppose 4*d - 516 = 116. Let m = 231 + d. Is m a composite number? False Let r = 3386 + -1057. Is r composite? True Let v(s) = 15*s**2 + 7*s + 217. Is v(-32) prime? False Let x(d) = -d - 8. Let m be x(-12). Suppose 5*h - 215 = -m*i + 68, h + 131 = 2*i. Is i a prime number? True Let m(b) = b**3 + 4*b**2 - 4*b - 2. Let u be m(-5). Let f be ((1 - u) + -1)*28. Suppose 0 = 4*t + 4*d - 196, -4*t = 2*d - 0*d - f. Is t a prime number? False Let s(j) = -j**3 + 9*j**2 - j + 2. Let b be s(7). Let r(d) = -d**2 - 4*d + 1. Let k be r(-2). Suppose -2*g = z - 4*z + 112, 2*z - k*g = b. Is z a prime number? False Let d be 15/(-10) - (-111)/6. Suppose d*b - 15*b = 20. Is (-4)/b - 1007/(-5) composite? True Is 94289 + (12/28)/(36/168) a prime number? True Let r(x) = -x**2 - 1. Let c(n) = 141*n**2 - 3*n + 1. Let a(o) = -2*c(o) + 6*r(o). Let l be a(-6). Is l/(-20) + (-4)/(-10) a composite number? False Let m(d) be the first derivative of d**4/4 + 10*d**3/3 - 5*d**2 + 14*d - 4. Let f be m(-11). Suppose 6*l = f*l + 438. Is l prime? False Let b be (-2)/(-11) + (-68390)/77. Is ((b/9)/(-4))/(4/66) composite? True Suppose 2*y + 7 - 17 = 0. Let p(m) be the third derivative of 11*m**5/30 - m**4/2 + m**3/6 - 2*m**2. Is p(y) a prime number? True Let u be ((-11)/(44/(-40)))/2. Suppose 5*i + u*j = 70, 5*i + 2*j - 43 = 33. Suppose -18*v = -i*v - 188. Is v composite? True Suppose -q = 2*q. Suppose 2 = -q*w - 2*w. Is -118*w*3/6 composite? False Let c(g) = -28*g**3 + 6*g**2 - g - 4. Is c(-3) a composite number? False Suppose 3*h + g - 10257 = -3*g, 2*g + 17069 = 5*h. Suppose -3*s - 2*s + h = 0. Is s composite? False Suppose -2*r = -4*p - 26, 5*p = -6*r + 4*r - 10. Is (-8)/(144/(-9490)) - p/(-18) composite? True Let f(g) be the third derivative of -g**4/12 + 2*g**3/3 - 6*g**2. Let b be f(-2). Suppose -5*i - 5*s = 0, -4*s - s - b = i. Is i prime? True Let s be -2*(-4 + 1 + 1). Suppose -s*d = d - 475. Suppose -o + d = -2*h, -20 = 2*h + 2*h. Is o prime? False Let i = -28 - -10. Is 5064/15 - (i/15)/(-2) prime? True Is (4/(-10))/(1*(-6)/575265) a prime number? True Let n(b) = -980*b - 7. Let m be n(-2). Let q = m + -1090. Is q prime? True Let g(q) = 2*q**3 + 6*q**2 - 18*q + 12. Let b be g(9). Let l = 279 + b. Is l a prime number? False Suppose 0 = 41*k - 152728 - 111435. Is k composite? True Let m = -627 + 1493. Let b = m - -2028. Let k = -1485 + b. Is k a composite number? False Let a be (-9)/12 - (-38)/8. Suppose 36*x = 38*x - 494. Suppose 0*v - 3*k + x = a*v, k - 179 = -3*v. Is v composite? True Suppose -36*f = -40*f + 2724. Is f a composite number? True Suppose 5*c - 33*c = -223412. Is c prime? False Is (-16)/104 - 88129/(-13) prime? True Let w be ((-30)/(-35) - 1) + (-13947)/(-21). Suppose -10*o + 5874 = w. Is o prime? True Suppose -6*b + 21*b - 15 = 0. Suppose -3*x - h = 6 + 5, 3*h + 17 = -x. Is (251/x)/(b/(-2)) a prime number? True Let c = 61 - -116. Suppose -2*s + 3*s = c. Is s composite? True Let i(x) = -x - 3. Let q be i(-2). Let u = 8 - 14. Is (q - (-9)/u)*-118 composite? True Let y = 18 + -6. Let x be 1/(-2)*-1*0. Suppose x = 8*j - y*j + 1324. Is j composite? False Let s(y) = -y + 5. Let h be s(11). Let n be h/(-6) - (-22268)/2. Is n/51 + (-8)/6 a composite number? True Let x(p) = 3*p + 3*p + 15 - 4*p - p. Let l be x(-13). Suppose 5*t = l*t + 9. Is t a composite number? False Suppose 3*h + 0*t - 4*t = 0, t - 15 = -3*h. Suppose -l = -2*l + 5. Suppose 0 = -0*j + h*j + 2*z - 348, -l*j - 4*z = -429. Is j a composite number? False Let h = -5465 + 10302. Is h prime? False Let j(q) = q**3 - 5*q**2 + 6*q + 9. Suppose 5*v = -y + 16, -4*v = -3*y + 28 + 39. Let w be (-3)/(-9)*y/1. Is j(w) prime? True Suppose 20*f = -5*f + 674925. Is f prime? False Let j(p) = p**2 + 12*p + 20. Let g be j(-8). Let w(a) = -12*a - 12. Let f be w(g). Is 2/(-11) - (-4116)/f prime? True Suppose 7 + 3 = 5*r. Suppose f = -r*b + 3, -5*f - b = -3*f - 6. Is 18/(-12)*(-298)/f a prime number? True Suppose 2*l - 2*n = -2*l + 23990, 3*l + 2*n = 17996. Is l composite? True Let p(v) be the third derivative of 53*v**4/12 - 5*v**3/6 + 13*v**2. Is p(4) composite? False Is (18/(-30))/(9/(-53895)) a composite number? False Suppose -d + 8 = 3*d - 4*a, 4*a - 32 = -4*d. Suppose -2*t - 2*o = -1057 - 2471, 0 = d*o + 25. Is t a composite number? True Let c = -4092 + 6461. Is c a composite number? True Suppose -3*f + 3 - 21 = 0. Let i(g) = 1 - 13*g - 2 + 3*g. Is i(f) a prime number? True Let r(j) = 43872*j - 53. Is r(1) a prime number? False Let l(h) = -4*h + 0*h**2 + 6*h + 0*h**2 - h**2 + 1. Let p(r) = -2*r - 1. Let f(m) = -3*l(m) - 2*p(m). Is f(-2) prime? False Let i(j) = 214*j**2 - j - 148. Is i(-15) composite? False Suppose 92167 - 31381 = 18*a. Is a composite? True Suppose 0 = 6*n + 8 - 8. Suppose n = 4*i - 2*z - 640, 0 = -5*i + 2*i - z + 475. Is i composite? True Suppose -2*k = 2*k - 532. Let b be k - -5 - (-6)/2. Suppose -6*m = -3*m - b. Is m prime? True Let t = -1428 + 2554. Is t prime? False Let o be (-1)/((0 + 2)/(-12)). Suppose -12 = 4*q, -4*q = -0*w + 4*w + 468. Is w/(-9)*o + 3 a prime number? True Let y(v) = 100*v - 21. Let s = 71 - 66. Is y(s) prime? True Suppose -12*c - 2*c = -70826. Let v = -2102 + c. Is v a composite number? False Suppose -j - 4*t + 21689 = 0, -5*t - 8528 - 56624 = -3*j. Is j a composite number? True Suppose -2*p + 2*z = -3*z - 512, 0 = -2*p - 3*z + 496. Is p composite? False Let s be (9/7 - 1) + (-110)/(-154). Let v(y) be the first derivative of 34*y**3/3 + 1. Is v(s) prime? False Let m be (-6)/36 - 2/(-12). Suppose -w + 10 = v - 2*v, -3*w + 2*v + 26 = m. Suppose -3*g - 5*k = -w*g + 578, -4*g + 3*k = -789. Is g a prime number? False Suppose y - 5 = -2. Suppose -8*h + y*h + 4835 = 0. Is h composite? False Let r(l) = 773*l**2 - 5*l - 3. Let k be r(-3). Suppose -5*c = 2606 + k. Let d = 2700 + c. Is d composite? True Is (-59 - -22)*(-1*437 - 2) a composite number? True Suppose 1477 = y + 2*z, 4*y - 2*y - 4*z - 2954 = 0. Suppose -h + y = -t, -2*t + 7413 = 4*h + h. Is h prime? True Suppose 139 = -s - 3*q + 1737, s + 12*q - 1643 = 0. Let a(w) = -w. Let o be a(-2). Suppose -o*t + s = -1883. Is t composite? False Suppose 0 = j - 5, -2*z + 5*j - 3246 + 7855 = 0. Is z a composite number? True Suppose 7*t + 399 = -0*t. Let b = t - -374. Is b a composite number? False Suppose -1 = c + 1, c + 6 = 2*x. Suppose -4*m + 4*b = -3080, -2*m + 1533 = x*b + 3*b. Is m prime? True Suppose 0 = -5*x + 4196 + 1519. Suppose -8*i + 11*i = x. Is i composite? True Let t(k) = -k**3 + 4*k**2 - 4*k + 3. Let x be t(2). Suppose x*l + 3*d +
{ "pile_set_name": "DM Mathematics" }
6348. -2*(d - 23)**2*(d - 6)*(d - 1) Determine x, given that 2*x**3 - 22*x**2 + 40*x + 64 = 0. -1, 4, 8 Factor -5*q**2 - 50*q - 80. -5*(q + 2)*(q + 8) Find h such that h**3/4 + 89*h**2/4 + 343*h/4 + 255/4 = 0. -85, -3, -1 Factor -d**4 + 34*d**3 - 69*d**2 - 824*d + 2480. -(d - 31)*(d - 4)**2*(d + 5) Solve 5*c**5 - 55*c**4 + 190*c**3 - 260*c**2 + 120*c = 0. 0, 1, 2, 6 What is a in -2*a**4/7 - 20*a**3/7 + 74*a**2/7 - 52*a/7 = 0? -13, 0, 1, 2 Let d**4/2 + d**3 - d**2/2 - d = 0. Calculate d. -2, -1, 0, 1 Factor -l**2/2 - 53*l. -l*(l + 106)/2 Determine p, given that -5*p**5/2 - 55*p**4/2 + 65*p**3/2 + 55*p**2/2 - 30*p = 0. -12, -1, 0, 1 Factor -2*i**5/5 - 14*i**4/5 - 32*i**3/5 - 24*i**2/5. -2*i**2*(i + 2)**2*(i + 3)/5 Find z, given that 5*z**3 - 175*z**2 + 1000*z + 10000 = 0. -5, 20 Let -r**5/2 + 7*r**4/2 + r**3/2 - 67*r**2/2 + 12*r + 90 = 0. What is r? -2, 3, 5 Factor -218089*g**2/2 - 9340*g - 200. -(467*g + 20)**2/2 Find f, given that 2*f**3 - 56*f**2 + 384*f = 0. 0, 12, 16 Factor -4*i**2/5 - 38*i/15 - 2/5. -2*(i + 3)*(6*i + 1)/15 Solve -n**3/4 - 7*n**2/4 + 5*n/2 + 4 = 0 for n. -8, -1, 2 Let 2*g**5 + 20*g**4 + 72*g**3 + 116*g**2 + 86*g + 24 = 0. What is g? -4, -3, -1 Solve -7*y**3/5 + 23*y**2/5 + 22*y/5 - 8/5 = 0 for y. -1, 2/7, 4 Suppose -o**2 - 244*o - 243 = 0. What is o? -243, -1 Find p such that p**4/3 + 62*p**3/3 + 545*p**2/3 + 1300*p/3 = 0. -52, -5, 0 Solve 121*q**5/6 + 330*q**4 + 4217*q**3/6 + 1517*q**2/3 + 122*q + 28/3 = 0 for q. -14, -1, -2/11 Factor -c**3/5 + 197*c**2/5 + 40*c - 396/5. -(c - 198)*(c - 1)*(c + 2)/5 Solve 4*t**4 - 464*t**3 - 1904*t**2 - 1920*t = 0 for t. -2, 0, 120 What is t in -245*t**5 + 1400*t**4 - 2840*t**3 + 2400*t**2 - 720*t = 0? 0, 6/7, 2 Let j**2 - 98*j/5 - 8 = 0. What is j? -2/5, 20 Suppose -2*j**4/11 - 40*j**3/11 - 156*j**2/11 + 40*j - 22 = 0. What is j? -11, 1 Factor -4*g**2 - 4368*g - 1192464. -4*(g + 546)**2 Suppose 4*g**4 - 24*g**3 + 52*g**2 - 48*g + 16 = 0. Calculate g. 1, 2 Solve -2*j**4/9 - 10*j**3/3 - 6*j**2 - 26*j/9 = 0 for j. -13, -1, 0 Factor -1755938*m**2 + 7496*m - 8. -2*(937*m - 2)**2 Determine r so that -14*r**3 - 16*r**2 - 32*r/7 = 0. -4/7, 0 Solve -2*f**2 + 20*f + 192 = 0. -6, 16 Find r, given that 3*r**3 - 129*r**2 + 1449*r - 1323 = 0. 1, 21 Solve -100*t**4 - 1120*t**3 - 1236*t**2 - 360*t = 0 for t. -10, -3/5, 0 Let -h**4/6 + 2*h**3/3 + 19*h**2/3 + 10*h + 9/2 = 0. Calculate h. -3, -1, 9 Solve 4*k**5 - 56*k**4 + 236*k**3 - 280*k**2 = 0 for k. 0, 2, 5, 7 Solve -3*y**5/4 - 99*y**4/4 - 417*y**3/2 + 42*y**2 + 1728*y - 1536 = 0 for y. -16, -4, 1, 2 Solve 2*o**4 - 82*o**3 - 260*o**2 - 176*o = 0 for o. -2, -1, 0, 44 Determine n so that -5*n**3 - 2645*n**2 - 345800*n + 1061340 = 0. -266, 3 Determine d, given that -164*d**3/3 - 166*d**2/3 + 326*d/3 + 4/3 = 0. -2, -1/82, 1 Suppose 2*f**4/3 - 466*f**3/3 - 948*f**2 - 5720*f/3 - 3824/3 = 0. Calculate f. -2, 239 Factor -2*l**2/11 + 204*l/11 - 202/11. -2*(l - 101)*(l - 1)/11 Find l, given that -3*l**5 + 150*l**4 - 2730*l**3 + 22020*l**2 - 76755*l + 84966 = 0. 2, 7, 17 What is r in -4617605*r**4 - 5958200*r**3 - 2883000*r**2 - 620000*r - 50000 = 0? -10/31 Find v, given that -v**3/2 + 65*v**2/2 - 127*v/2 + 63/2 = 0. 1, 63 What is q in -2*q**4 + 42*q**3 + 244*q**2 + 408*q + 208 = 0? -2, -1, 26 Determine d, given that -15*d**3 + 335*d**2 - 425*d + 105 = 0. 1/3, 1, 21 Factor 2*n**2/13 - 32*n/13 + 56/13. 2*(n - 14)*(n - 2)/13 Solve 20*f**4 - 28*f**3 - 44*f**2 + 28*f + 24 = 0. -1, -3/5, 1, 2 Factor -3*f**3 + 33*f**2 + 1623*f - 1653. -3*(f - 29)*(f - 1)*(f + 19) Determine t, given that -32*t**3/9 + 112*t**2/3 - 98*t + 686/9 = 0. 7/4, 7 What is g in 2*g**2 + 840*g + 88200 = 0? -210 Factor -3*i**2 - 27*i + 30. -3*(i - 1)*(i + 10) Suppose 2*u**4/17 - 10*u**3 + 3696*u**2/17 - 3528*u/17 = 0. Calculate u. 0, 1, 42 Determine i so that 2*i**4/15 + 158*i**3/15 + 1112*i**2/5 + 8056*i/15 - 11552/15 = 0. -38, -4, 1 Suppose 2*w**4/15 + 4*w**3/3 + 22*w**2/5 + 24*w/5 = 0. Calculate w. -4, -3, 0 Factor -2*n**3/7 + 40*n**2/7 - 218*n/7 + 180/7. -2*(n - 10)*(n - 9)*(n - 1)/7 Let 3*f**2 - 966*f + 3816 = 0. Calculate f. 4, 318 Factor 6*b**2 - 16*b/3 - 2/3. 2*(b - 1)*(9*b + 1)/3 Find k such that -15*k**3 + 21*k**2 + 18*k = 0. -3/5, 0, 2 Suppose -5*w**2 - 53600*w - 143648000 = 0. Calculate w. -5360 Factor -3*c**5/2 - 3*c**4/2 + 3*c**3 + 3*c**2 - 3*c/2 - 3/2. -3*(c - 1)**2*(c + 1)**3/2 Factor -2*l**5/3 + 8*l**4/3 + 4*l**3/3 - 8*l**2 - 6*l. -2*l*(l - 3)**2*(l + 1)**2/3 Factor 3*j**2 + 1656*j + 228528. 3*(j + 276)**2 Factor x**2/2 - 16*x. x*(x - 32)/2 Determine p, given that 2*p**2/11 + 16*p/11 - 18/11 = 0. -9, 1 Find c such that -10*c**4/13 + 14*c**3/13 + 6*c**2/13 - 14*c/13 + 4/13 = 0. -1, 2/5, 1 Factor -4*o**2 - 1836*o + 3688. -4*(o - 2)*(o + 461) Let 3*j**4 + 39*j**3 + 186*j**2 + 384*j + 288 = 0. Calculate j. -4, -3, -2 What is v in -2*v**4/3 + 73*v**3/3 - 281*v**2 + 2960*v/3 + 1700/3 = 0? -1/2, 10, 17 Factor 5*n**2/4 - 130*n + 3380. 5*(n - 52)**2/4 Suppose 6*z**4 - 472*z**3 + 8962*z**2 + 12640*z + 3200 = 0. What is z? -1, -1/3, 40 Factor 2*b**3/9 + 62*b**2/9 - 130*b/9 + 22/3. 2*(b - 1)**2*(b + 33)/9 Factor 12*d**2/7 - 14*d + 16/7. 2*(d - 8)*(6*d - 1)/7 What is m in -4*m**2/9 - 1664*m - 1557504 = 0? -1872 Let 4*s**5/5 + 16*s**4/5 + 12*s**3/5 = 0. What is s? -3, -1, 0 Solve q**3 - 127*q**2 - 128*q = 0. -1, 0, 128 Determine t so that -4*t**2 - 700*t + 1416 = 0. -177, 2 Factor 3*g**4 - 27*g**3 + 21*g**2 + 135*g + 84. 3*(g - 7)*(g - 4)*(g + 1)**2 Solve 5*g**4 - 15*g**3 + 10*g**2 = 0 for g. 0, 1, 2 Factor -j**2/3 - 25*j/3 - 8. -(j + 1)*(j + 24)/3 Factor 3*c**3/2 - 45*c**2/2 + 81*c/2 - 39/2. 3*(c - 13)*(c - 1)**2/2 Factor 2*x**4/3 + 20*x**3 + 128*x**2 - 1024*x/3. 2*x*(x - 2)*(x + 16)**2/3 Factor 2*g**2/7 + 16*g + 224. 2*(g + 28)**2/7 Solve -5*q**3 + 685*q**2 - 650*q - 4080 = 0. -2, 3, 136 Factor -2*z**3 + 82*z**2 - 80*z. -2*z*(z - 40)*(z - 1) Solve -4*h**5 - 636*h**4 - 24308*h**3 + 77436*h**2 - 52488*h = 0. -81, 0, 1, 2 Let -u**4/9 - 7*u**3/9 + 17*u**2/9 - u = 0. Calculate u. -9, 0, 1 Suppose -10*x**3 - 35*x**2/2 - 5*x + 5/2 = 0. What is x? -1, 1/4 What is n in 4*n**3 + 8*n**2 - 60*n - 144 = 0? -3, 4 Solve 4*n**2/7 - 312*n/7 + 608/7 = 0. 2, 76 Determine l, given that 2*l**4/13 - 22*l**3/13 + 60*l**2/13 = 0. 0, 5, 6 Find d such that 2*d**5/7 - 8*d**4/7 - 132*d**3/7 + 40*d**2 + 350*d = 0. -5, 0, 7 Factor -4*i**5 + 16*i**3 - 8*i**2 - 12*i + 8. -4*(i - 1)**3*(i + 1)*(i + 2) Factor 2*x**4 - 24*x**3 + 32*x**2 + 96*x - 160. 2*(x - 10)*(x - 2)**2*(x + 2) Factor -5*c**3 + 660*c**2 + 675*c - 1330. -5*(c - 133)*(c - 1)*(c + 2) Factor 2*n**2/7 - 102*n/7 + 100/7. 2*(n - 50)*(n - 1)/7 Factor 36*u**3/7 - 152*u**2/7 - 148*u/7 + 40/7. 4*(u - 5)*(u + 1)*(9*u - 2)/7 Find d such that -2*d**2/3 - 436*d/3 - 23762/3 = 0. -109 Solve w**3 + 445*w**2 + 887*w + 443 = 0 for w. -443, -1 Factor -2*j**2/11 - 480*j/11. -2*j*(j + 240)/11 Suppose -3*h**3/5 + 1236*h**2/5 + 249*h - 2478/5 = 0. Calculate h. -2, 1, 413 Factor -4*g**3 - 52*g**2 - 56*g + 352. -4*(g - 2)*(g + 4)*(g + 11) Factor 2*h**2/19 + 64*h/19 + 512/19. 2*(h + 16)**2/19 Find a, given that 5*a**4/3 + 10*a**3/3 - 65*a**2/3 - 190*a/3 - 40 = 0. -3, -2, -1, 4 Solve -6*c**3/7 - 96*c**2 - 24846*c/7 - 302580/7 = 0 for c. -41, -30 Solve 3*q**4 - 18*q**3 - 111*q**2 - 90*q = 0 for q. -3, -1, 0, 10 Find m such that -5*m**3 - 295*m**2 + 605*m - 305 = 0. -61, 1 Factor -2*o**2 - 104*o - 1064. -2*(o + 14)*(o + 38) Factor 3*z**2/2 - 15*z + 63/2. 3*(z - 7)*(z - 3)/2 Suppose 4*n**4 - 32*n**2 + 64 = 0. Calculate n. -2, 2 Factor 5*y**3 + 50*y**2 - 65*y - 110. 5*(y - 2)*(y + 1)*(y + 11) Determine t so that -5*t**3 + 140*t**2 - 1145*t + 2310 = 0. 3, 11, 14 Determine q so that -q**2/3 - 13*q/3 + 30 = 0. -18, 5 Factor -2*c**2 - 221*c + 111. -(c + 111)*(2*c - 1) Solve s**3 - 12*s**2 + 21*s - 10 = 0. 1, 10 Find t such that t**3 - 8*t**2 - 15*t + 54 = 0. -3, 2, 9 Suppose 4*d**5/5 - 4*d**4 - 348*d**3/5 + 2324*d**2/5 - 392*d = 0. What is d? -10, 0, 1, 7 Determine l so that 12*l**2 - 17*l/5 - 1/5 = 0. -1/20, 1/3 Determine n, given that 3*n**5/8 + 9*n**4/4 + 9*n**3/2 + 15*n**2/4 + 9*n/8 = 0. -3, -1, 0 Factor -w**4/3 + 7*w**3/3 + 13*w**2 + 53*w/3 + 22/3. -(w - 11)*(w + 1)**2*(w + 2)/3 Factor 2*b**3/5 - 22*b**2/5 + 56*b/5. 2*b*(b - 7)*(b - 4)/5 Factor 2*f**4 - 18*f**3 + 12*f**2 + 32*f. 2*f*(f -
{ "pile_set_name": "DM Mathematics" }
- 3*w**4. w**4 Expand (3*n + 3*n - 3*n)*(-9 - 5 + 5)*(3 - 3 - 2*n). 54*n**2 Expand (-5 + 9 + 5)*(-2 + 2 - r) - 2*r - 3*r + 6*r. -8*r Expand 2*n - 6*n - 2*n + 2*n + 0 + 0 + (0 + 0 + 2*n)*(0 + 3 - 2) + 5*n - 4*n + n - 4*n + 4*n + 2*n. 2*n Expand (-2 + 0 + 4)*(-3*i**2 - i - 6*i + 17*i). -6*i**2 + 20*i Expand -5*h + 5*h - h**3 - 2*h**3 + 0*h**3 + 1 + 1 + (1 + 1 - 4)*(2*h**2 + 3*h**3 - 2*h**2). -9*h**3 + 2 Expand 4*m - 4*m - 3*m**2 - 2*m**2 + 4*m**2 - 3*m**2 + (1 - 1 - 1)*(-4*m**2 + 3*m**2 + 4*m**2). -7*m**2 Expand (23 + v - 23)*(4*v**2 - v**2 - v**2)*(2 + 0*v**2 - 1 + v**2). 2*v**5 + 2*v**3 Expand (4 + 2 - 3)*(4*i - 5*i - 5*i**2 + 3*i). -15*i**2 + 6*i Expand (-35*t**2 + 52*t**2 - 2*t - 29*t**2)*(-2*t + 0*t + t). 12*t**3 + 2*t**2 Expand (4*n**3 - 5*n**3 - 2*n**3)*(-5 + 5 - 1 + (-4 - 1 + 6)*(1 - 2 + 2) - 2 + 2 - 1 + 1 - 3 + 1 - 9 - 3 + 7). 21*n**3 Expand -3*n**3 - n**3 + 5*n**3 + (-5 + 3 + 0)*(n**3 - 4*n**2 + 4*n**2) + (n**3 - 3*n**2 + 3*n**2)*(0 + 4 - 5) - 2*n**3 - n**3 + 0*n**3. -5*n**3 Expand (-13 - 10 - 14)*(-3 - 2*f + 3). 74*f Expand (-3 - 2*h**2 + 3)*(4*h - h - 2*h) + (-5 + 7*h**2 + 5)*(5*h - 2*h - 2*h) + 3*h**3 + 2*h**3 - 3*h**3 + (4*h**3 - 4*h**3 - 2*h**3)*(0 - 4 + 6). 3*h**3 Expand (60*c**2 + 38*c**2 + 17*c**2)*(0*c**2 + 0*c**2 - 2*c**3). -230*c**5 Expand (-2*q**4 + q**3 - q**3)*(-2 + 0 + 4) + q**4 + 2*q**4 - 2*q**4. -3*q**4 Expand 0 + 0 + h + 2*h + 0*h - h + (4*h - 5*h - h)*(-3 + 3 + 2) - h + 2*h - 3*h - 6*h + 2 - 2. -10*h Expand 1 - 1 + w + (6 + 8 - 11)*(-2*w + 0*w + w). -2*w Expand (0*y**2 - 2*y**2 + 4*y**2)*(-4 + 0 + 5)*(-20 - 1 + 6). -30*y**2 Expand (-1 + 1 - 2)*(1446 + 28*o - 1446). -56*o Expand (-2 + 2 - 2)*(7*f**4 - 8*f**4 + 26*f**4). -50*f**4 Expand (3*i - 3*i + i**3)*(-4 + 5 - 3 + 3 - 2 + 2 + (3 + 0 - 4)*(0 + 1 + 1))*(1 + 0 + 0). -i**3 Expand (2*j + 0*j - j)*(-46 + 21 + 27). 2*j Expand (22 - 6 + 2)*(3*w - 3*w + 3*w**2 + 3). 54*w**2 + 54 Expand (4 - 4 - 2)*(15*j**3 + 150*j**2 - 150*j**2). -30*j**3 Expand (1 - 4 + 2 - 3*x)*(-5*x**4 + 2*x**4 - 2*x**4) + (-2*x**4 + 0*x + 0*x)*(-x + 3 - 3). 17*x**5 + 5*x**4 Expand -4*i**4 + 5*i**4 - 2*i**4 + (0*i + 0*i - 3*i**2)*(-i**2 + 0*i**2 + 3*i**2). -7*i**4 Expand (3*a - 3*a + a**3)*(13*a + 0*a - 10*a + 21). 3*a**4 + 21*a**3 Expand -3*m + m**2 + 3*m + (3*m - m + 0*m)*(-1 + 1 - m) + 2*m**2 + m**2 - 5*m**2. -3*m**2 Expand (9*r + 8*r - 4*r)*(-r - 3*r + 3*r). -13*r**2 Expand ((0 + 0 - 1)*(2*c - 4*c + 4*c) - 29 + 9*c + 29)*(3*c - 2*c + c). 14*c**2 Expand (-1 + 1 + n)*(9 - 9 + n) + n**2 + 0*n + 0*n. 2*n**2 Expand -2*i**3 + 0*i + 0*i + 5*i**3 - 3*i**3 - 4*i**3 + (0*i - 2*i + 3*i)*(3*i - i**2 - 3*i) - 3*i**3 + 4*i**3 + i**3 + i**3 - 3*i**3 - 3*i**3. -8*i**3 Expand (1 - 1 - a)*(-2*a + 1 - 1)*(-1 - 3 + 1)*(39 - 39 - 2*a**3). 12*a**5 Expand (-13*f**3 + f**3 + 23*f**3)*(5 + 0 - 4). 11*f**3 Expand ((-5 + 0 + 4)*(2 - 3 + 0) + 0 + 3 - 5)*(1 - 1 + 3*q**2). -3*q**2 Expand (-j**2 - 2*j**2 + 4*j**2)*(15*j + 2*j + 18*j). 35*j**3 Expand (-1 + 2*t + 1)*(-4 + 1 + 0)*(-5*t + 4*t - 3*t). 24*t**2 Expand 2*p**2 + 2*p**2 + 0*p**2 + (-3*p - 3*p + 4*p)*(0*p + 0*p - p) + 3*p**2 - p**2 + 0*p**2 + 3 - p**2 - 3 + p**2 + 4*p - 4*p. 8*p**2 Expand (6*n - 14*n - 14*n)*(3 - 2*n - 3). 44*n**2 Expand (3*z - 2*z + z)*(-z - 1 + 1) + z - z + z**2 + 0*z**2 + 0*z**2 - z**2 - 4*z**2 + 4*z**2 - z**2 + (-3*z + z + 5*z)*(-z - 1 + 1) - 2 - 2*z**2 + 2. -8*z**2 Expand -9*a**2 - 9*a**2 + 4 + 20*a**2 + (3*a - 2*a - 3*a)*(0 + 0 + a) + 0*a**2 + a**2 - 3*a**2. -2*a**2 + 4 Expand (10 - 10 + 3*i - 4*i**2)*(7*i**3 - 18*i + 18*i). -28*i**5 + 21*i**4 Expand (-v**2 + v - v)*(7 + 3 - 4)*(0 + 1 - 2). 6*v**2 Expand (2*p**2 + 2*p**2 - 3*p**2)*(-6*p + 3*p - 7*p). -10*p**3 Expand (2 + 3 - 4)*(-3*o + 3*o - 2*o) + (-2 + 2 - 1)*(o - 2*o + 3*o). -4*o Expand (1 - 6 + 3)*(-22*y**2 + 10*y**2 + 6*y**2) + 2*y**2 + 5*y - 5*y. 14*y**2 Expand (a + 3*a + 2*a)*(-4*a**4 - 4*a**4 + 6*a**4) + (-2*a**3 - a**3 + 4*a**3)*(-a**2 + 3 - 3) + a - a - a**5. -14*a**5 Expand 4*p**2 - 58*p + 58*p - 3*p**2 + 2*p**2 - p**2 + (-6*p + 2*p + 2*p)*(3*p + 2*p - 3*p). -2*p**2 Expand (0*a + 4*a - 2*a)*(a + 2*a + 3*a)*(4*a**2 + 7*a - 7*a). 48*a**4 Expand (-2*i + 2*i - 2*i)*(8*i - 2*i - 3*i) + 33*i - 33*i - 8*i**2. -14*i**2 Expand (1 + 2 + 2 - 6)*(-3*p + 42 - 42). 3*p Expand (2*a + 2*a - 7*a)*(a**3 + 2*a**3 - 2*a**3) - a**4 + a**4 - 3*a**4 + 0*a + 2*a**4 + 0*a + (-2*a - a + 5*a)*(-6 + 6 + a**3). -2*a**4 Expand 0*g - 5*g + 3*g - 19*g**4 + (2*g - 5*g + 2*g)*(2*g**3 - g**3 + 0*g**3). -20*g**4 - 2*g Expand (0 + 0 + 1)*(-f**2 - 2 + 2) + 2*f**2 + 3*f**2 - 6*f**2 + (-1 + f + 1)*(-5*f - 2*f + 5*f). -4*f**2 Expand 0 + 4*p + 0 - 2*p - p + 5*p + (2 - 2 + 1)*(4*p - 4*p - 2*p) - 3*p + 2*p - p + 2*p + 4*p - 5*p + 0 + 0 - 2*p + 3*p - p + 0*p. 3*p Expand (2 + 4 - 2)*((x - 2*x - x)*(0 - 4 + 3) + 3*x - 2*x + x). 16*x Expand (-3 + 0 + 0)*(0*m + m + m)*(m - 2*m**3 - m) - 5*m**4 + m**2 - m**2. 7*m**4 Expand (-4 - 2*r + 4)*(-5*r + 4*r + 0*r) + 12*r**2 + 30*r**2 + 51*r**2. 95*r**2 Expand (-k**3 - 4*k + 4*k)*(-k + 3*k - k). -k**4 Expand (-2 - 1 + 4)*(b - 4*b + 0*b)*(-3 + 3 - 1). 3*b Expand 3*f + 6 - 6 + (4*f - 2*f - 4*f)*(-4 + 5 - 2) + 2 - 2 + 2*f. 7*f Expand ((-1 - 6 + 5)*(1 + 3 - 5) + 3 - 7 + 3)*(4 - 4 - r)*(3*r - r + 0*r). -2*r**2 Expand (-1 + 1 + 1)*(-2*u**4 + 2*u**4 + 2 - 2*u**4). -2*u**4 + 2 Expand -6*x**5 + 4*x**5 + 3*x**5 + (-3 + x**2 + 3)*(-2*x**3 - x**3 + 4*x**3). 2*x**5 Expand (4*l**2 + 3*l**2 - 4*l**2)*(-33*l**3 + 3*l**3 - 4*l**3). -102*l**5 Expand (81*c - 81*c + 27*c**2)*(0*c + 2*c - c). 27*c**3 Expand -2*k**5 - 4*k**2 + 4*k**2 + (-2 - 3 + 3)*(k**5 - 3*k**5 + 4*k**5) + 2*k**5 - 3 + 3 + k**3 - 2*k**5 - k**3 - 2*k**5 + 0*k**5 - 11*k**2 + 5*k**2. -8*k**5 - 6*k**2 Expand (-55 - 8*r**2 + 55)*(-2*r + 6*r - 2*r) + 2*r - r - 2*r**3 - 4*r. -18*r**3 - 3*r Expand (110 + 44*v**2 - 110)*(-3*v + 0*v + 2*v). -44*v**3 Expand (-2 + 6 - 2)*(-3*i + 4 - 4)*(-3*i**3 + 3*i**3 - i**3). 6*i**4 Expand (-t - 4 + 4)*(-30 + 22*t + 30) + (-6 + 6 - 3*t)*(-t - t + 0*t). -16*t**2 Expand (0*u - u - u)*(-5 + 1 + 5)*(3*u**2 - 4*u**2 + 0*u**2). 2*u**3 Expand -2*j + 5*j - 2*j + (-1 + 0 + 0)*(-38 + 5*j + 38). -4*j Expand (g + 0*g + 0*g)*(8 - 29 + 17). -4*g Expand (10*c**2 - 15*c**2 - 23*c**2)*(3 + 2 - 4). -28*c**2 Expand 2*n**2 - 7*n**4 - 2*n**2 + (-1 + 2*n + 1)*(3*n**3 + 0*n**3 - 4*n**3) + 2*n**4 - 4*n**4 + 0*n**4. -11*n**4 Expand (6*a - 19 + 19)*(-3 + 1 + 5)*(-1 - 4 + 6). 18*a Expand (-3*h - 2*h + 0*h)*(0*h**3 + 3*h**3 - 2*h**3). -5*h**4 Expand (-7*c**2 + 0*c**2 + c**2)*(8*c + 19*c - 47*c). 120*c**3 Expand (0*d**2 + 2*d**3 + 0*d**2)*(2 + 4 - 7)*(0 + 1 - 3). 4*d**3 Expand (2*q**2 + 0*q**2 + 0*q**2)*(1 - 5*q + 0 + 4*q). -2*q**3 + 2*q**2 Expand 2*x**2 + x**2 - 4*x**2 + (0 - 2*x**2 + 0)*(1 + 4 - 3) + (-7 - 2 - 2)*(-4*x**2 + 2*x**2 + x**2). 6*x**2 Expand (2 + 2 + 2)*(5 + 0 - 3)*(3*u + u - 2*u). 24*u Expand (-2143 + 2143 - 133*m)*(-2 - 1 + 1). 266*m Expand (-1 + 1 - s**2)*(-3*s**2 + 2*s**2 - 3*s**2 - s + s - s**2 + (s - s + 2*s**2)*(4 - 3 - 3) + 2*s - s**2 - 2*s)*(-5*s + 5*s + 2*s). 20*s**5 Expand (3 - 3 + z)*(z**4 + z**4 - z**4) + 2*z**5 + 2*z**5 - z**5 + 3*z**4 - 6*z**5 - 3*z**4. -2*z**5 Expand (260 - 99*k - 260)*(-3*k**2 + k**2 + k**2). 99*k**3 Expand (-4*i + 4*i - 4*i)*(3*i**3 - i**4 - 5 - 3*i**3)*(-3 + 6 - 2). 4*i**5 + 20*i Expand -q - q + 4*q + q + 4*q - 4*q + (-2*q + 1 - 1)*(10 + 4 - 2). -21*q Expand -r**2 + 4*r**2 - 2*r**2 + 2*r**2 - r**2 - 2*r**2 + (2*r + 2 - 2)*(1 - r - 1) + 14*r**2 + 18*r**2 + 15*r**2. 45*r**2 Expand (-3*o**2 + 3*o**2 - 18*o**3)*(1 - 2*o - 1 + (0 + 0 - 2)*(-1 + 1 + o) - 2 + 2 + o + 3 - 2*o - 3 + (0 - 1 + 0)*(3*o - 4*o + 0*o)). 72*o**4 Expand (-2 - 3*d + 2 + 4)*(5 - 5 + d). -3*d**2 + 4*d Expand (-2 + 3 + 1)*(3*z**3 + 0*z**3 - 4*z**3) - 3*z**3 - 2*z**3 + 3*z**3 + z**2 - z**2 + 2*z**3 + (-4 + 4 + z)*(3*z**2 - 4*z**2 + 2*z**2). -z**3 Expand -2*y**2 + 36*y - 16*y**4 - 36*y - 2*y**4 + 2*y**4 + y**4 + (2*y**2 - 2 + 2)*(y**2 - 3*y**2 + 3*y**2). -13*y**4 - 2*y**2 Expand (-4 + 4 - n)*(-23*n**4 - 20 + 20 - n). 23*n**5 + n**2 Expand (-4 + 3 - 1)*(3*p**3 + 2*p**3 - 3*p**3) + (262*p - 262*p + 2*p**2)*(3*p - p - 3*p). -6*p**3 Expand (-u - 4*u + 2*u)*(4*u - 2*u - 3*u) + 4*u - 4*u - 4*u**2. -u**2 Expand 0*q**5 - 3*q**5 + q**5 + (-q**3 - 2*q + 2*q)*(-q**2 + 0*q**2 - q**2) - 5*q**5 + 3*q**5 + q**5 + q**4 - 722*q**5 + 740*q**5 + 2*q**4. 17*q*
{ "pile_set_name": "DM Mathematics" }
*d))/d)/d**(-3)*((d/(d*d**4/d)*d)/d*d)/d*((d**(4/7)*d)/d)/d assuming d is positive. d**(-1125/77) Simplify ((w**1)**(2/33)/(w**1*w*w**(-3/5)))/(w/(w**(-8)/w)*(w*((w/w**3)/w)/w)/w)**(4/5) assuming w is positive. w**(-1013/165) Simplify ((k**0)**36)**9*(k*k**(3/7))/(k/(k/k**(4/5)))*(k/k**2)**50 assuming k is positive. k**(-1728/35) Simplify ((w*((w/w**(-8)*w)/w)/w)/(w/w**7)*(w*w/w**(-3))/w*(w*w**(-1/7))/w*w)**7 assuming w is positive. w**139 Simplify ((f**(2/5))**(5/13))**(-20/9)*(((f**(-3)/f)/f)/((f**1/f)/f*f*f))**(-5/8) assuming f is positive. f**(1595/468) Simplify (((i**(2/17)/i)/i)/i**(-1/5))/(((i*i/(i*i*i**(-1/2)))/i)/i**(1/4))*(i*i/(i**4/i))/i**(-1/2)*(i*(i/(i**1*i))/i)**(-36) assuming i is positive. i**(11753/340) Simplify ((k**(-31)*k/(k*k*((k**(2/27)*k)/k)/k))/(k**34/(k*(k*k/(k**(-29)/k))/k)))**(-5/4) assuming k is positive. k**(4465/108) Simplify ((m/(m/(m/(m*(m*m*m**9)/m))*m))/m*m**6*m*m**(1/13)*m*((m/(m**27*m)*m)/m)/m)**(3/10) assuming m is positive. m**(-249/26) Simplify ((r*(r*r/r**(-8))/r)/r**3*r**(11/3)*r**(-3/16))**(10/3) assuming r is positive. r**(2515/72) Simplify (j*j**(-1/7)*j)**27*(j**27)**(4/7) assuming j is positive. j**(459/7) Simplify (((u*u**(1/2))/u**(-7/5))/((u**(-16)/u)/(u*u**29)))**9 assuming u is positive. u**(4491/10) Simplify ((m**(1/2)*m)**(-21)/(m*m**(-4)*m*m*m**(-3/5)))/((m**(1/4))**(-1/2))**2 assuming m is positive. m**(-593/20) Simplify (f*f**(-2))**22*(f**2)**(1/23)*(f**(2/9)*f*f*f)**(-9/5)*(f*f*f**(2/9))**(-15) assuming f is positive. f**(-21061/345) Simplify t/(t**23*t)*t**11*t**12*(t/(t/(t**(-26)*t))*t*t)/t assuming t is positive. t**(-24) Simplify (a**(-6)/a**(2/9))**(-9)/((a*a*a**4*a**(2/5))/(a*a*a**(2/3)/a*a*a)**(6/17)) assuming a is positive. a**(4326/85) Simplify (j**0)**(27/5)/(j**(-6)*j*j/j**(-1/2))*j/(j**(2/9)*j)*j/(j*j**(-6)/j*j)*j*j/j**(-2/5)*j*j**3 assuming j is positive. j**(1411/90) Simplify (((s*s*s**(-2/23)*s*s**(-2))/(s**(-1/2)*s)**(-2/33))**(-1/43))**(1/18) assuming s is positive. s**(-358/293733) Simplify (((g/(g**(-2/5)*g))/g*g**(-6)/g*g*(g/(g**(-6)/g)*g)/(g*g/g**(6/7)))**12)**(1/11) assuming g is positive. g**(48/35) Simplify (((l*l/l**(1/11)*l*l)/(l/(l/(l/l**(1/2))*l)))/(l**(-6)*l**(13/2)/l*l))**17 assuming l is positive. l**(731/11) Simplify (o**2*o*(o*o**7*o*o)/o)/((o**(2/13)*o)/o**(-3/8))*(o**(-4/11)/o**10)**(-5) assuming o is positive. o**(71259/1144) Simplify (g**(2/3)/(g/g**(-1/3)))/(g**(-2/3))**(2/33)*((g/(g*g/(g*g**(1/11))))/g**(-3))**23 assuming g is positive. g**(6976/99) Simplify ((d/(d**(3/4)/d)*d**(-2/19))/(d*d**(-1)*d*d*d/d**(-3)))/(d**(-4)*d/(d*d*d**(-1/5)*d))**36 assuming d is positive. d**(77499/380) Simplify ((i**3*i)/(i*i**18)*i**(1/6)/i*i**(-2/3)/i)**(-30) assuming i is positive. i**525 Simplify ((j**2/j)**44/((j**(-6)*j)/(j/(j/(j*j**(-1/3))*j))))/(j*j*j**(2/45)*j**(2/17))**16 assuming j is positive. j**(10766/765) Simplify ((((a*a/(a/(a*a/(a*a/(a/((a/a**11)/a*a))*a*a))))/a*a)/a)/a*a**(-14)*a**(-18)*a/(a*a*a*a**(-6)*a))**50 assuming a is positive. a**(-1050) Simplify ((t*t**1)**8)**19*(t**(-1/6)/(t*t**(-7)))/(t**(-5)/(t/(t*(t/(t/(t*t**(-2/17))))/t))) assuming t is positive. t**(32125/102) Simplify ((g*g**(-2)*g)/g)/g**(2/17)*g**(-4)*g**(3/4)/g*(g/g**(2/7))**(6/5)*(g*(g/g**(-2/3))/g*g)/g**(-4) assuming g is positive. g**(3079/1428) Simplify ((p*p**(1/2))/(p*(p*p*p/(p/(((p*p**(-7))/p)/p)))/p*p))**46*(((p/p**(2/7))/p)**(1/50))**(-32) assuming p is positive. p**(52357/175) Simplify (((x/(x*x**14))**(12/13))**46)**28 assuming x is positive. x**(-216384/13) Simplify p**2/p*p**1*((p*p/(p/(p*p**(-1/4))))/p)**1*(p**(2/7)/p**5)**(-13) assuming p is positive. p**(1793/28) Simplify ((g*g**(1/5)*g/(g/((g**(-3)/g)/g))*(g**(2/5)*g*g)/g**(-2/11))**(2/53))**6 assuming g is positive. g**(-804/2915) Simplify (d/d**10*d**(-2/3))**(-4/17)/((d*d**(1/4)*d*d)**(-30)/((d/((d*d**(6/7)*d)/d))/(d*d*d**(1/11)))) assuming d is positive. d**(760475/7854) Simplify (l/(l**(-5)*l)*l*l**(4/9)*l)**(-2/13)/((l*l*(l**(2/7)*l)/l)**(24/11)/(l**0*l**(-2/13))) assuming l is positive. l**(-56632/9009) Simplify ((q**(-1)/q*q**(-1/5))/(q**(-5)*q**(-1/9)))/(q*(q*q**0)/q*q/(((q/q**7)/q*q*q*q)/q))**(-2/35) assuming q is positive. q**(149/45) Simplify ((g**10*g*g*g*g/(g**16*g)*g)/((g/((g**10/g)/g*g*g))/g*g)**(-39))**(1/10) assuming g is positive. g**(-353/10) Simplify (((b**(-3)/b)/b)/(b*b**(-3/2)))**(-34)*(b/b**(-9)*b**13*b*b)**(-1/48) assuming b is positive. b**(7319/48) Simplify (u*(u*u**(-5/14))/u*u*u)/(u/u**3)*(u/(u/(u**(1/3)*u)))/(u*u/(u*u**(-19))) assuming u is positive. u**(-589/42) Simplify ((l*l**(31/2))/l)**(-50)*l*l**(-34)*l**28 assuming l is positive. l**(-780) Simplify ((h**9/(h/(h/(h/h**(2/5)))))/(h**(-1))**(-13))/((h/(h**(-8)/h))/(h/(h*(h*h**1)/h))*h**(-6)/(h**8/h)) assuming h is positive. h**(-13/5) Simplify (((((y/(y/(y/(y/(y*y/((y/y**(-31))/y))))))/y*y)/y)/(y/(y/(y/((y*y**8/y)/y*y*y*y)))))/(y*y**(-19)/y)**(-23))**(-2/11) assuming y is positive. y**(916/11) Simplify (s/(s/s**(-2/3)))/s**(-1/3)*((s*s/s**(-2/5))/s*s)**(3/13)*(s**(-2/11)*s/s**0)/(s/(s/s**(-2))*s*s**(-6/11)*s*s) assuming s is positive. s**(1253/2145) Simplify ((p**(1/4))**(-44))**(-2/29)*((p*p*(p*(p**6*p)/p)/p*p*p)/(p/p**(-8)))**4 assuming p is positive. p**(138/29) Simplify ((w**(6/7)*w)/(((w*w**6/w*w)/w)/w)*(w/(w/(w*w*(w*w**(-2/5))/w)))**(-2/13))/((w*w**(-2))**14*(((w/((w*w*w**2)/w))/w)/w*w)**26) assuming w is positive. w**(40318/455) Simplify ((u**(-5)/u*u)/(u/u**(-2)))**(-10)*(u*(u/(u**(-2/7)/u))/u)**8/(u**(-1))**(18/5) assuming u is positive. u**(3566/35) Simplify (((f*f*f**(-27)*f)/(((f**(2/21)*f)/f)/f))/((f/f**14)/f)**(1/17))**(-32) assuming f is positive. f**(254432/357) Simplify ((n**(-2/29)*n*n/n**(-25)*n)/(n**(-40)*n/(n*n**(6/19)*n)))**(-1/50) assuming n is positive. n**(-7631/5510) Simplify (((t**(2/27)*t)/(t**(-9)/t))/(t*t/(t/t**(2/3)*t))**(-8/7))**(-5) assuming t is positive. t**(-11185/189) Simplify (n**(2/3)*n*n/(n/n**(2/5))*(n**(2/7))**15)/((n**(-1/4))**(-9/10)/(n**(-3/7)/n**(-3))) assuming n is positive. n**(7307/840) Simplify (((((k/(k/k**(2/5)))/k)/k*k)/k)**39)**(-7)*k**0/(k**(-4)*k)*k**(-1)*k*k/k**(-2/5) assuming k is positive. k**(2206/5) Simplify ((i**(-5))**29/(i**(-15)/i**(-1/19)))**(-40) assuming i is positive. i**(98840/19) Simplify (((z**(-1/6)*(((z*(z**(-1/11)/z)/z*z)/z)/z)/z)/(z*z*z**0*z*z*z*z/(z/(z*z**(1/9)))*z))**48)**(2/31) assuming z is positive. z**(-32848/1023) Simplify (((k**(-14)*k)/k)/k*k*k**(-3)*(k**(-1/11)/k)**(-3/13))**(-21) assuming k is positive. k**(50295/143) Simplify (k**(-4/3)*k*k**(1/11)*(k*k*(k/((k/((k*k/k**(-1/3)*k)/k))/k))/k)/k**1)/((k/(k*k/(k**(-5/8)*k)))/(k/k**(-14)))**46 assuming k is positive. k**(31761/44) Simplify (o*o/o**(-6/7)*o*o*o*o**4*o*o)**(-26)*(o**(1/2)/o)**42*(o**(2/7))**(-26) assuming o is positive. o**(-2357/7) Simplify (((o/o**(1/2)*o**5*o)**(-48))**(13/4))**(-7) assuming o is positive. o**7098 Simplify a**(-3/7)/(a/(((a*a*a**7*a)/a)/a)*a)*a**(-1/8)*a**(2/29)*((a/((a**(-6)/a*a)/a))/(a/(((a**0/a)/a)/a)))**(-7/9) assuming a is positive. a**(35141/14616) Simplify ((m/(m**(-18/11)*m)*m)/m)**(-2/145)/((m/(m**36*m))/(m**(-47)/m)) assuming m is positive. m**(-19176/1595) Simplify (d/d**(-42))**(-9)/(d*d/(d/(d*d**(2/15))))**(11/3) assuming d is positive. d**(-17767/45) Simplify b**1/b**(-5)*(b**(-2/7)/b)**44*(b/b**(3/8)*b*b*(b*(b**(-5)*b)/b*b)/b)/((b*b**(5/3))/(b**2/b*b*b)) assuming b is positive. b**(-8671/168) Simplify (s**(1/12)/s*s**0)**(2/11)/((s*s*s*s*s*s*s**(-1))**(6/11)*(s**0*s)**(2/17)) assuming s is positive. s**(-3379/1122) Simplify (g/(g/((g/(g/(g/g**(-2/5))))/g*g))*g*g**(-2)*g*g*g)/(g**(4/9)/g*g**(-5/4))*((g/g**(-1))/g)**(-48)/((g*g/g**5*g)/g**(-2/13)) assuming g is positive. g**(-95819/2340) Simplify ((f/f**(-1/2))/(f**(-3/7)*f))**(30/7)*((f**(-1/2))**(18/11))**(-43/3) assuming f is positive. f**(8466/539) Simplify ((y**(-1)*y*y/(y*y**1))/(y**(-8))**(2/37))**(-5/17) assuming y is positive. y**(105/629) Simplify ((r/(r/r**(-2/13)))**(2/7)*(r**(-2/23))**4)**(3/14) assuming r is positive. r**(-1230/14651) Simplify (y**5*(y/(y*y**(-6)*y))/y)/(y/y**(-1))**14*(y**3/(y/(y**0*y)))/(y*y*y*y/y**(-4)*y*y*(y*y**8)/y*y) assuming y is positive. y**(-35) Simplify ((k*k**(2/11))**(-45)/(k/(k/(k*k/k**(-10))*k)*k**(-5)))**(-14/13) assuming k is positive. k**(9114/143
{ "pile_set_name": "DM Mathematics" }
9419 = -2*o - 5*n. What is the hundreds digit of o? 7 Let d be 219/(-9 + 6) - 0. What is the tens digit of 18/12 - d/2? 3 Suppose 173*u - 153*u - 66780 = 0. What is the tens digit of u? 3 Suppose -24189 = -5*z - 3*z + 32075. What is the units digit of z? 3 Suppose -23*p + 2*s = -27*p + 646, 0 = 3*s + 15. Suppose -p*v + 167*v - 3402 = 0. What is the hundreds digit of v? 1 Suppose p - 52 = 5*p. Let z(s) be the third derivative of -s**4/3 + s**3/3 + 804*s**2. What is the units digit of z(p)? 6 Let k be 181500/1080 + 2/(-36). Suppose 4*b + 3*x = -x + 332, 0 = -5*b - x + 419. Suppose b*s - k = 82*s. What is the tens digit of s? 8 Let f(x) = x + 7. Suppose -13 = 5*c - 8. Let o be f(c). Suppose 8*h - 198 = o*h. What is the tens digit of h? 9 Suppose -9*h + 174 - 21 = 0. Suppose -h*p - 432 = -25*p. Suppose 0 = -l + 5*y + p, l - 3*y - 182 = -4*l. What is the tens digit of l? 3 Let y(v) = v**2 - 8*v - 15. Let n be y(-3). Let w be n*((-32)/(-6) + 5). Suppose -13*h + 459 = w. What is the units digit of h? 1 Let q = 63 + -39. Suppose 0 = -q*o + 19*o + 1765. What is the tens digit of o? 5 Suppose 0 = 5*c - 2*k - 372 - 2850, -2*c + 1283 = 5*k. Suppose 0 = -4*f + 2*b + c, -322 = -2*f - 3*b + 2*b. What is the tens digit of f? 6 Let t(b) = -b**3 + 39*b**2 + 94*b + 18. What is the tens digit of t(39)? 8 Let t(w) = 15*w**2 + 11*w + 57. What is the thousands digit of t(-11)? 1 What is the thousands digit of 14334*-1*(1/5)/((-20)/150)? 1 Let t = -322 - -476. Suppose 2*z + 40 = -t. Let c = z - -259. What is the units digit of c? 2 Suppose 4*t + w = 14084, -4*t - 2*w = w - 14092. What is the tens digit of t? 2 Suppose a - 4*x = 6*a + 2566, 0 = 5*a - 3*x + 2538. Let j = 49 + a. Let v = -212 - j. What is the tens digit of v? 4 Let q(z) = -258*z + 46. What is the units digit of q(-15)? 6 Let r(a) = a**2 + 16*a + 33. Let s be r(-14). Suppose -28 = 6*i - 40. Suppose i*h = -4*w + 346, s*w - 347 = h - 3*h. What is the units digit of h? 1 Suppose 2*l - 25 + 3 = 4*n, -2*n = l + 1. Suppose -l*f + 5565 = -m, f = -3*m + 366 + 747. What is the thousands digit of f? 1 Let n(l) = l**3 + 11*l**2 + 5*l + 1. Let o(g) = g**3 + 2*g**2 - 1. Let z be o(1). Let i be ((-180)/8)/5 + z/4. What is the tens digit of n(i)? 9 Suppose 22*w - 24*w - 76634 = -4*o, -76627 = -4*o - 5*w. What is the thousands digit of o? 9 Suppose 2*m - 51 + 1 = 0. Suppose 6*z + m*z = 25482. What is the units digit of z? 2 What is the units digit of (-8)/(-52) + 3 + 230580/91? 7 Let q(f) = -f**3 - f**2 - f + 851. Let n = -474 - -474. What is the hundreds digit of q(n)? 8 Let f = 2172 - -22504. What is the units digit of f? 6 Let t = -12 + 15. Suppose t*u = -7*u - 30. What is the units digit of (-33)/(-18)*(u - (4 - 13))? 1 Let s = -13304 + 21388. What is the tens digit of s? 8 Suppose -85*t + 86*t - 4*o = -272, 0 = -5*t - 2*o - 1404. Let c = 71 + -202. Let h = c - t. What is the tens digit of h? 4 Let d = -1166 - -4415. Suppose d = 5*p - 11. What is the tens digit of p? 5 Let s(v) = -v**3 - 7*v**2 - 12*v + 2. Let p be s(-3). Suppose p*o - 8*c + 3*c - 892 = 0, -5*c = -o + 451. What is the units digit of o? 1 Suppose 0 = q, -5*v - 1 + 16 = 5*q. Suppose -v*d - 1074 = -6*d. What is the tens digit of d? 5 Let v = 13190 - 5897. What is the tens digit of v? 9 Let o be (-7 + 8)*4*106/4. Suppose -o*g + 232 = -105*g. What is the units digit of g? 2 What is the thousands digit of (-9 - -14) + -5 - (-37756 + 1)? 7 Suppose 5*n + 10151 = 2*o, 279*n - 5082 = -o + 275*n. What is the tens digit of o? 7 What is the tens digit of (1/(-2))/(10/(-57700))? 8 Let u(x) = x**3 + x**2 - 57*x - 6. Let q be u(-8). What is the thousands digit of (q + 3 + -7)/((-4)/4042)? 2 Let d be 0/(-2) - (-55 - -55). Suppose d*x = -22*x + 9020. What is the hundreds digit of x? 4 Let j be (-2)/(-3 + 1 + 0). Suppose 2*x - j = -9. What is the tens digit of (x/(-6))/((-14)/(-903))? 4 Let s be -1*(-40)/(-5)*1. Let h(y) = -y**3 - 7*y**2 - 12*y - 12. Let n be h(s). Suppose 5*l + 230 = 3*v - 0*v, -2*l - n = -2*v. What is the units digit of v? 0 Let z(l) = -110*l**3 - l**2 + l - 21. What is the tens digit of z(-4)? 9 Suppose 439*t = 449*t + 10. Let i = -11 + 33. Let x = i + t. What is the tens digit of x? 2 Let u(i) = -3*i**3 - 24*i**2 + 9*i + 7. Let c be u(-8). Let t = 78 - c. What is the hundreds digit of t? 1 Let m(s) = -s**2 + 3*s + 6. Let k be m(0). Let b be k/39 - (-80)/(-13). What is the tens digit of b/(-4)*(-4806)/(-81)? 8 Suppose 6*b - 2*a = 8*b - 420, -3*b = 2*a - 629. Suppose -2089 = -6*d + b. What is the tens digit of d? 8 What is the units digit of ((-129823)/591)/(1/(-18))? 4 Let s be ((-15)/2)/(6 + 87/(-14)). Suppose 2*l + 5*d = s + 789, 1226 = 3*l + 5*d. What is the tens digit of l? 0 Suppose -2*v + 31 = 3*v - 2*x, -v - 2*x = 1. Let j(d) = -14*d + 33. Let w be j(v). Let s = 31 - w. What is the tens digit of s? 6 Suppose -4*q = -6*q + 4. Suppose -1136 = -3*w - a, -2*w - 3*a = -q*a - 757. What is the hundreds digit of w? 3 What is the tens digit of (-10*(-171)/95 - 24)/(1/(-2606))? 3 Suppose -39*q = -34*q - 165. Suppose 3*a + 0 - 24 = -2*g, -3*g = 4*a - q. What is the tens digit of (-71)/(-3) - (-2)/a? 2 Suppose 6*v - 186 = -25*v. Suppose v*y = 3*x + 11*y - 2818, 4*x + y = 3780. What is the tens digit of x? 4 Suppose 0 = -15*a + 17*a - 24. Let x(f) = f**2 - 12*f + 6. Let p be x(a). Let d(s) = 4*s**2 - 4*s + 12. What is the tens digit of d(p)? 3 Suppose 4*t - 5 = 3. Suppose -t*r = -r + 6. Let n = r + 37. What is the units digit of n? 1 Suppose -254584 = -29*v + 32342. What is the thousands digit of v? 9 Let r = -128 + 194. Let g = r + -53. Suppose 248 = g*o - 9*o. What is the tens digit of o? 6 Let p(y) = -3*y + 42. Let x be p(10). What is the hundreds digit of 1196/3*18/x? 5 Let h = 216 - 222. What is the hundreds digit of ((-1)/(h/122))/((-3)/(-108))? 7 Suppose 111*g + 20*g - 1653613 = 0. What is the thousands digit of g? 2 Suppose 1843108 = 184*o + 235500. What is the hundreds digit of o? 7 Suppose 10541 - 81066 = -25*d. What is the hundreds digit of d? 8 Let y be (334464/65)/16 - (-3)/(-5). Suppose 53*l - 2*b + 1524 = 58*l, -l = -5*b - y. What is the tens digit of l? 0 Let w = 33 - 23. Suppose r + 18 = 5*t, -5*r + 8*r + t = w. Suppose 8*g + 3*l = 4*g + 392, -r*g + 196 = -4*l. What is the units digit of g? 8 Suppose -5*b + 65 = 20. Let w be (4 - 3) + 2*1*514. Suppose b*o = w - 210. What is the units digit of o? 1 Suppose -7*o + 90 = 2*o. Let f be 4 - (5 + o/(-2)). What is the tens digit of 2/f - (-3247)/34? 9 Let w(l) = 7*l**2 + 2*l - 29. Let m be w(-6). Suppose 5*k + 0*z = -2*z + 251, -4*k - 5*z + m = 0. Suppose g - k = 2. What is the units digit of g? 1 Suppose -3*g - 1767 = -4*w, -5*w = -3*g + g - 2207. Suppose -5*p - 20 = 0, 0 = 6*z - z - 4*p - w. Let l = z - -14. What is the tens digit of l? 9 Let k(o) be the second derivative of 17*o**5/10 - 5*o**4/6 + o**3/6 + 5*o**2/2 - 85*o. What is the units digit of k(3)? 6 Let b(j) = 3*j**2 - 39*j + 1. What is the hundreds digit of b(46)? 5 Let r = 51 - 49. Suppose 2*h = r*l + 16, 2*h = -6 + 2. What is the tens digit of 974/10 - ((-44)/l - 4)? 9 Suppose 3*l + 153 = 132. What is the units digit of 3/l - (-21)/((-1617)/(-123926))? 9 Suppose -2*d + 3*v = -23, d + 4*v = 6*d - 68. What is the tens digit of (1038/(-8))/((-6)/d)? 4 Let r(b) = 120*b**2 + 3*b - 9. Suppose 10*i = 18*i - 16. What is the units digit of r(i)? 7 Let l be (-30)/(-4)*(-2)/(-3). Suppose 2*n + l*u = 247, -4*n + 423 + 35 = -2*u. What is the hundreds digit of n? 1 Let t(b) = -b**3 + 13*b**2 + 3*b - 30. Let a be t(13). Suppose -a*j + 3*g + 53 = -8*j, 2*j - 92 = -g. What is the units digit of j? 7 Let l = -11085 - -22645. What is the hundreds digit of l? 5 Suppose -5*n - 2*c = -10876, 5*c = -9*n + 5*n + 8711. Let k = n - 1362. What is the hundreds digit of k? 8 Suppose -3*l = 5*c - 119824, -3*c - 119873 = -8*c + 4*l. What is the hundreds digit of c? 9 Let h be ((-51)/(-5))/((-3)/15). Let d = h - -51. Suppose 3*t = 4*p - d*t - 131, -4*t + 12 = 0. What is the units digit of p? 5 Let i = 18881 - 13069. What is the thousands digit of i? 5 Suppose 5*z - 7 = 8. Suppose -2*q + 3*t + 1998 = 0, -z*t = 4*q + 481 - 4477. Suppose -5*j = -46 - q. What is the units digit of j? 9 Suppose -23 = 5*c - r - 82, -r = -2*c + 23. Suppose c*w = 5*w + 1148. Suppose
{ "pile_set_name": "DM Mathematics" }
153 What is prob of picking 1 r and 1 f when two letters picked without replacement from urfuuuryf? 1/9 What is prob of picking 2 o when two letters picked without replacement from omlllmlo? 1/28 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from lejellleelj. 8/55 Three letters picked without replacement from {s: 1, c: 1, a: 8, u: 2, m: 1, x: 1}. What is prob of picking 1 c, 1 s, and 1 u? 1/182 Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {q: 2, w: 8, f: 3, p: 3}. 3/40 What is prob of picking 3 c when three letters picked without replacement from {u: 3, i: 2, y: 1, v: 1, w: 3, c: 3}? 1/286 Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {a: 2, p: 4, u: 4}. 8/45 Calculate prob of picking 1 u, 2 m, and 1 h when four letters picked without replacement from {k: 1, h: 1, m: 9, o: 2, u: 4}. 36/595 What is prob of picking 1 x, 1 g, and 2 y when four letters picked without replacement from {y: 7, x: 10, g: 2, r: 1}? 28/323 Three letters picked without replacement from jjcj. What is prob of picking 2 j and 1 c? 3/4 What is prob of picking 1 q and 2 e when three letters picked without replacement from qeqeaqeee? 5/14 What is prob of picking 4 l when four letters picked without replacement from {a: 1, l: 18}? 15/19 Four letters picked without replacement from ffffffffff. Give prob of picking 4 f. 1 Three letters picked without replacement from {l: 7, i: 5}. Give prob of picking 1 i and 2 l. 21/44 Three letters picked without replacement from fffffffff. What is prob of picking 3 f? 1 What is prob of picking 1 k, 1 t, and 2 i when four letters picked without replacement from {k: 1, j: 2, i: 2, a: 1, t: 1, p: 2}? 1/126 What is prob of picking 4 c when four letters picked without replacement from uccgcckkgccug? 3/143 Calculate prob of picking 2 z when two letters picked without replacement from zzzkzzzzk. 7/12 Four letters picked without replacement from llllxcllllllxxl. Give prob of picking 4 l. 22/91 What is prob of picking 3 u and 1 s when four letters picked without replacement from {u: 3, s: 2, l: 3}? 1/35 What is prob of picking 2 v and 1 x when three letters picked without replacement from vxvvvvvvvvvvvvxxxvv? 140/323 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from khhuqhkkoooqhkkikkkh. 4/95 What is prob of picking 2 m when two letters picked without replacement from lmmlm? 3/10 Calculate prob of picking 2 z, 1 l, and 1 j when four letters picked without replacement from zjjjzzjl. 6/35 Three letters picked without replacement from {s: 5, x: 2, f: 3, i: 1, w: 1, r: 1}. Give prob of picking 1 x, 1 i, and 1 f. 3/143 Three letters picked without replacement from {l: 3, g: 9}. What is prob of picking 1 l and 2 g? 27/55 What is prob of picking 1 a and 1 p when two letters picked without replacement from memeaseamsespaemmap? 8/171 What is prob of picking 1 r, 1 t, and 2 k when four letters picked without replacement from kkdrrktttt? 4/35 Two letters picked without replacement from {d: 4, f: 6, w: 1}. What is prob of picking 1 d and 1 f? 24/55 Four letters picked without replacement from grxarxuara. Give prob of picking 1 g and 3 a. 1/210 Three letters picked without replacement from gwindwzdnwdg. Give prob of picking 2 g and 1 d. 3/220 Two letters picked without replacement from {s: 3, e: 1, y: 1}. What is prob of picking 2 s? 3/10 Calculate prob of picking 2 a and 2 f when four letters picked without replacement from {u: 1, f: 6, a: 7, r: 5}. 105/1292 Four letters picked without replacement from lfslfflsssssssfls. Give prob of picking 3 f and 1 l. 4/595 Two letters picked without replacement from dxxxxrmm. What is prob of picking 2 m? 1/28 What is prob of picking 2 g and 1 d when three letters picked without replacement from {g: 3, d: 12, p: 1}? 9/140 What is prob of picking 1 r and 3 s when four letters picked without replacement from {s: 4, d: 1, r: 2}? 8/35 Three letters picked without replacement from {f: 3, t: 2}. Give prob of picking 1 t and 2 f. 3/5 What is prob of picking 2 w when two letters picked without replacement from yqwawyyqqdwdydard? 3/136 Four letters picked without replacement from xoxxoooxox. What is prob of picking 3 x and 1 o? 5/21 Two letters picked without replacement from cpppppppcpppcpcppppp. What is prob of picking 1 p and 1 c? 32/95 Two letters picked without replacement from rssysysrssss. What is prob of picking 2 y? 1/66 Three letters picked without replacement from {p: 2, z: 1, k: 3, d: 2, x: 1, q: 6}. Give prob of picking 1 z, 1 d, and 1 k. 6/455 What is prob of picking 1 v, 1 e, and 1 t when three letters picked without replacement from meweevet? 1/14 Two letters picked without replacement from svvtssbsvssvdll. What is prob of picking 1 l and 1 t? 2/105 Three letters picked without replacement from kkkkkkkkkkiikik. Give prob of picking 3 i. 1/455 What is prob of picking 2 s when two letters picked without replacement from ssssssusssss? 5/6 Two letters picked without replacement from qccccqqcccqccq. Give prob of picking 1 q and 1 c. 45/91 Calculate prob of picking 3 e and 1 r when four letters picked without replacement from {h: 10, p: 4, e: 2, r: 1}. 0 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {v: 2, y: 1, p: 2, c: 2, b: 1, l: 1}. 1/9 Two letters picked without replacement from {m: 2, b: 2}. What is prob of picking 2 m? 1/6 Calculate prob of picking 1 g and 2 u when three letters picked without replacement from ugugguuuuugugu. 45/91 What is prob of picking 1 i and 2 b when three letters picked without replacement from {x: 6, b: 3, i: 6}? 18/455 What is prob of picking 1 e and 3 w when four letters picked without replacement from {e: 3, w: 7}? 1/2 Calculate prob of picking 1 i and 1 q when two letters picked without replacement from ddddiddqddqqdl. 3/91 Four letters picked without replacement from huhjwjjuzqjz. Give prob of picking 2 q, 1 h, and 1 w. 0 What is prob of picking 1 s and 1 g when two letters picked without replacement from syygk? 1/10 Calculate prob of picking 2 r, 1 m, and 1 n when four letters picked without replacement from nnmnmnrmmoennnnnr. 9/595 Two letters picked without replacement from oxo. Give prob of picking 1 o and 1 x. 2/3 Four letters picked without replacement from {r: 9, k: 10}. Give prob of picking 3 k and 1 r. 90/323 What is prob of picking 1 x and 2 u when three letters picked without replacement from ruxprxrrrrru? 1/110 Two letters picked without replacement from {v: 1, u: 7, w: 1}. Give prob of picking 1 v and 1 w. 1/36 Three letters picked without replacement from {d: 2, b: 3, z: 1, w: 3, h: 4, s: 4}. What is prob of picking 1 w and 2 s? 9/340 What is prob of picking 1 b and 1 q when two letters picked without replacement from {e: 3, j: 3, q: 2, y: 2, b: 1, h: 4}? 2/105 Three letters picked without replacement from {h: 1, q: 4, z: 2, v: 2}. What is prob of picking 1 z and 2 v? 1/42 Two letters picked without replacement from {g: 2, x: 1, b: 1, d: 5, t: 3, m: 1}. What is prob of picking 1 b and 1 t? 1/26 What is prob of picking 1 e, 1 z, and 1 f when three letters picked without replacement from szaeffj? 2/35 Three letters picked without replacement from {b: 7, u: 1, t: 1, h: 4}. What is prob of picking 3 h? 2/143 Calculate prob of picking 4 z when four letters picked without replacement from zpzppddpppzz. 1/495 Three letters picked without replacement from snosssosssnsss. Give prob of picking 1 o, 1 s, and 1 n. 10/91 What is prob of picking 1 b and 1 k when two letters picked without replacement from bbjjjzjjkjdz? 1/33 What is prob of picking 2 r when two letters picked without replacement from {r: 2, e: 1}? 1/3 Calculate prob of picking 3 t when three letters picked without replacement from {o: 1, p: 1, t: 3, w: 1, i: 1}. 1/35 Four letters picked without replacement from {e: 1, y: 2, q: 4, t: 3, n: 3, a: 4}. What is prob of picking 1 t, 2 y, and 1 q? 3/595 Two letters picked without replacement from vobkh. Give prob of picking 2 o. 0 Calculate prob of picking 2 d and 1 o when three letters picked without replacement from httttjjodttdototbt. 1/272 Three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
st integer? 73 What is the sixth root of 861328796 to the nearest integer? 31 What is 41289624 to the power of 1/3, to the nearest integer? 346 What is the third root of 51803 to the nearest integer? 37 What is the third root of 3611377992 to the nearest integer? 1534 What is the third root of 657236782 to the nearest integer? 869 What is 192342376 to the power of 1/2, to the nearest integer? 13869 What is the square root of 11799702 to the nearest integer? 3435 What is 234588741 to the power of 1/10, to the nearest integer? 7 What is the square root of 5513538 to the nearest integer? 2348 What is 402076500 to the power of 1/7, to the nearest integer? 17 What is the fourth root of 158709872 to the nearest integer? 112 What is 404873741 to the power of 1/3, to the nearest integer? 740 What is 618744748 to the power of 1/3, to the nearest integer? 852 What is 762314981 to the power of 1/4, to the nearest integer? 166 What is 405709384 to the power of 1/3, to the nearest integer? 740 What is 2593872024 to the power of 1/9, to the nearest integer? 11 What is 591813353 to the power of 1/3, to the nearest integer? 840 What is the tenth root of 383006983 to the nearest integer? 7 What is 45688928 to the power of 1/10, to the nearest integer? 6 What is 32935106 to the power of 1/9, to the nearest integer? 7 What is 215615159 to the power of 1/3, to the nearest integer? 600 What is 866094688 to the power of 1/2, to the nearest integer? 29429 What is 99956658 to the power of 1/8, to the nearest integer? 10 What is the third root of 40421114 to the nearest integer? 343 What is the square root of 718282266 to the nearest integer? 26801 What is the square root of 1257091082 to the nearest integer? 35455 What is the third root of 502932887 to the nearest integer? 795 What is 72624788 to the power of 1/6, to the nearest integer? 20 What is 297375918 to the power of 1/6, to the nearest integer? 26 What is 82096593 to the power of 1/5, to the nearest integer? 38 What is the cube root of 45920327 to the nearest integer? 358 What is the square root of 88751765 to the nearest integer? 9421 What is the cube root of 51085581 to the nearest integer? 371 What is the sixth root of 392607063 to the nearest integer? 27 What is the ninth root of 88086245 to the nearest integer? 8 What is the cube root of 49698429 to the nearest integer? 368 What is the cube root of 73987820 to the nearest integer? 420 What is the cube root of 1550253344 to the nearest integer? 1157 What is the sixth root of 1287351672 to the nearest integer? 33 What is the square root of 65583707 to the nearest integer? 8098 What is 1164536752 to the power of 1/3, to the nearest integer? 1052 What is the tenth root of 2764810534 to the nearest integer? 9 What is the square root of 20816910 to the nearest integer? 4563 What is the fourth root of 289454513 to the nearest integer? 130 What is 204680658 to the power of 1/2, to the nearest integer? 14307 What is 4844311432 to the power of 1/2, to the nearest integer? 69601 What is the fifth root of 113013736 to the nearest integer? 41 What is the square root of 180394041 to the nearest integer? 13431 What is the cube root of 460898682 to the nearest integer? 772 What is 367059897 to the power of 1/3, to the nearest integer? 716 What is the third root of 7714652899 to the nearest integer? 1976 What is 180393299 to the power of 1/6, to the nearest integer? 24 What is 203600128 to the power of 1/8, to the nearest integer? 11 What is the third root of 40431532 to the nearest integer? 343 What is the third root of 861385434 to the nearest integer? 951 What is 121808651 to the power of 1/2, to the nearest integer? 11037 What is 195278567 to the power of 1/3, to the nearest integer? 580 What is 307696213 to the power of 1/3, to the nearest integer? 675 What is the cube root of 446701241 to the nearest integer? 764 What is 381525166 to the power of 1/8, to the nearest integer? 12 What is 274033565 to the power of 1/2, to the nearest integer? 16554 What is the square root of 1270846056 to the nearest integer? 35649 What is the cube root of 47931612 to the nearest integer? 363 What is 51623220 to the power of 1/3, to the nearest integer? 372 What is the square root of 332661841 to the nearest integer? 18239 What is 110051081 to the power of 1/2, to the nearest integer? 10491 What is the third root of 6743871 to the nearest integer? 189 What is the eighth root of 342755802 to the nearest integer? 12 What is 1263711020 to the power of 1/9, to the nearest integer? 10 What is the square root of 3705418806 to the nearest integer? 60872 What is 2814244180 to the power of 1/10, to the nearest integer? 9 What is the square root of 250852789 to the nearest integer? 15838 What is the ninth root of 672265765 to the nearest integer? 10 What is the third root of 8554837782 to the nearest integer? 2045 What is 71680961 to the power of 1/4, to the nearest integer? 92 What is the eighth root of 979452016 to the nearest integer? 13 What is 59257638 to the power of 1/2, to the nearest integer? 7698 What is the fifth root of 1327846 to the nearest integer? 17 What is 595101735 to the power of 1/2, to the nearest integer? 24395 What is the square root of 3369687454 to the nearest integer? 58049 What is the fifth root of 551493246 to the nearest integer? 56 What is 63513073 to the power of 1/2, to the nearest integer? 7970 What is 165197756 to the power of 1/2, to the nearest integer? 12853 What is the cube root of 136486985 to the nearest integer? 515 What is 188599 to the power of 1/2, to the nearest integer? 434 What is the fifth root of 3758459095 to the nearest integer? 82 What is the square root of 3394577585 to the nearest integer? 58263 What is the square root of 285198998 to the nearest integer? 16888 What is the third root of 116462159 to the nearest integer? 488 What is 1093019288 to the power of 1/2, to the nearest integer? 33061 What is 261573320 to the power of 1/2, to the nearest integer? 16173 What is 33410539 to the power of 1/2, to the nearest integer? 5780 What is the third root of 884546336 to the nearest integer? 960 What is 28764455 to the power of 1/2, to the nearest integer? 5363 What is the third root of 87838974 to the nearest integer? 445 What is the third root of 16302201 to the nearest integer? 254 What is 82010301 to the power of 1/2, to the nearest integer? 9056 What is 119950899 to the power of 1/2, to the nearest integer? 10952 What is the square root of 826414242 to the nearest integer? 28747 What is the third root of 108034742 to the nearest integer? 476 What is 1069487304 to the power of 1/7, to the nearest integer? 19 What is the square root of 960984579 to the nearest integer? 31000 What is the seventh root of 620123681 to the nearest integer? 18 What is 34041144 to the power of 1/10, to the nearest integer? 6 What is 455016483 to the power of 1/7, to the nearest integer? 17 What is 1021283787 to the power of 1/9, to the nearest integer? 10 What is the eighth root of 79411864 to the nearest integer? 10 What is the square root of 1988834773 to the nearest integer? 44596 What is 2204825859 to the power of 1/2, to the nearest integer? 46956 What is 509771081 to the power of 1/4, to the nearest integer? 150 What is the square root of 187030174 to the nearest integer? 13676 What is the tenth root of 109687253 to the nearest integer? 6 What is 742332906 to the power of 1/8, to the nearest integer? 13 What is 39828118 to the power of 1/5, to the nearest integer? 33 What is 189752355 to the power of 1/10, to the nearest integer? 7 What is the fourth root of 303024592 to the nearest integer? 132 What is 2185185422 to the power of 1/2, to the nearest integer? 46746 What is the sixth root of 83791104 to the nearest integer? 21 What is 376998237 to the power of 1/2, to the nearest integer? 19416 What is 538614902 to the power of 1/2, to the nearest integer? 23208 What is the square root of 60831487 to the nearest integer? 7799 What is the third root of 1199577159 to the nearest integer? 1063 What is the square root of 517108153 to the nearest integer? 22740 What is 1073622771 to the power of 1/2, to the nearest integer? 32766 What is 85690501 to the power of
{ "pile_set_name": "DM Mathematics" }
)**(2/61)*(p/p**1)**24 assuming p is positive. p**(-13069/1830) Simplify (f*f/((f*f**6)/f)*f*f*f/f**(-3)*f*f)**45*(f/(f*f**(1/3)))**(-12/11)*(f*f**1*f)**(-2/21) assuming f is positive. f**(13866/77) Simplify (n**(-1))**17*n**(-1/5)/((n/n**(-2)*n)/n)*((n**(1/2)*n)**46)**41 assuming n is positive. n**(14044/5) Simplify ((w/w**(-2/5))**(-4/11)*w**(-7)/(w/(w/(w*w**(4/9)))*w))/((w**1)**(-27)*(w*w**0*w)**(8/7)) assuming w is positive. w**(51146/3465) Simplify (o**(6/11)*o**(-1/3)/o)**43/(o**(-4)/(o/(o*o/((o*o*o*o**6*o)/o))))**(-17/2) assuming o is positive. o**(-4484/33) Simplify (w**13/(w/((w**12/w)/w))*w**(-1/5)/(w**(-2)*w))**(13/4) assuming w is positive. w**(741/10) Simplify (h**(-2/5))**(-4/7)/(h**(2/7)/(h**(-5)*h))*(h**1*h)**25/(h**(-2/11)/h**(-6)) assuming h is positive. h**(15448/385) Simplify ((r/(r**0*r))**20/(r**(-4)*r**9*r))/((r**(-1)/r)**(-2/23)*r/(r**7*r)*r*(r*r**(5/4))/r) assuming r is positive. r**(-131/92) Simplify (((j*j/(j**(-2/11)*j))/j**(3/2))/((j/(j/j**(1/7)))/(j**2*j)))/(j**(-6)*j*j/j**5)**(2/9) assuming j is positive. j**(699/154) Simplify (z*z**(1/24)*z**(-1/12)*z*(z/((z*z*(z/(z/(z/z**7*z*z)))/z)/z)*z)/z*z/(z/(z*z*z**1)))**(10/9) assuming z is positive. z**(1195/108) Simplify ((s**(-3/4)/s**(-2/43))/(s**2)**(-2/21))**(1/6) assuming s is positive. s**(-1853/21672) Simplify (w**(2/19)/w**(-3/16))**(-23)*(w/w**1)**29/(w/((w*w*w/((w/((w*w**2)/w))/w*w))/w))**(-18) assuming w is positive. w**(-12991/304) Simplify (c*c**(-8)/c*c**(3/7))**(2/37)/((c**0/c**(-1))/(c**(-1/2))**(-27)) assuming c is positive. c**(6263/518) Simplify (f**45/(f**(-14)*f))/((f**35*f)/(f**(-8)/f)) assuming f is positive. f**13 Simplify ((((u*u**(1/11))/u*u)/u)/(u*u*u**(-5)))**(1/11)/((u**0*u)/u**(-6)*(u/u**0)**29) assuming u is positive. u**(-4322/121) Simplify ((((z/z**(-4/7))/z*z*z)/z**6)/(z/z**2*z)**(-11/2))/((((((((z**(-1/3)/z)/z)/z)/z*z)/z)/z)/z)**20/(z/(z**1/z))**12) assuming z is positive. z**(2840/21) Simplify (n*n/(n*n**10))/n*n**(-16/5)*(n*n*n*(n/(n/((n/n**(1/19))/n)*n*n))/n)**(3/19) assuming n is positive. n**(-23841/1805) Simplify d**(3/4)*(d*d*d/(d/(d/(d*d*d**0)))*d)/d*d**(2/7)*d*d**(-1/9)*((d/(d/d**6))/d**(-7))**31 assuming d is positive. d**(102293/252) Simplify ((l*l**(-1)/l*l*l*l)**(-44))**(-1/3)*((l**(-3/4)/l)/l*l**(1/9))/(l*l**(1/4)*l**(4/3)/l) assuming l is positive. l**(226/9) Simplify i/(i/(i/i**(-1)*i*i*i))*i**(-3/10)*i**(-3)/i**8*(i**(-1))**(-3/8)*i/i**(-1/8)*i/(i*i**8/i)*i assuming i is positive. i**(-54/5) Simplify (z**16/z)**(-40/7)*z*z**(-14/9)/z*z/z**(-32) assuming z is positive. z**(-3419/63) Simplify ((b/b**0*b)/b**(-1/5))/(b**1)**40*b/(b**(-3/4)/b)*b*b/(((b**(-8)/b)/b)/b)*b*(b**(2/7)/b)/b**(-4/3) assuming b is positive. b**(-8581/420) Simplify (o*o**(-2/5)*o**(2/21)*(o/o**10)/o**(-1/11))**(-3/14) assuming o is positive. o**(9487/5390) Simplify ((f**(-1/34)/f)/(f*f/(f*f**(-7/5)*f*f)))/(f**(-16/5)*f*(f*f**(2/39)*f)/f) assuming f is positive. f**(-1861/6630) Simplify (((a/((a/(a/a**6))/a)*a**(-14))/(a/(a**(-14)*a)*a**3*a))**(3/7))**17 assuming a is positive. a**(-1836/7) Simplify ((o**2*o**(-2/13))/(o**(-6)/o**(3/7)))/((o**(-2/21)/o)/(o/o**(-6))*(o/o**(-1/3))/(o*o/(o*o**3/o)*o)) assuming o is positive. o**(4105/273) Simplify ((x/x**(-8/3))**8/((x/(x*x**(-21)))/((x*x**(14/9))/x)))**(-23/3) assuming x is positive. x**(-2047/27) Simplify ((t*t*t**(2/41))**34*t*t/t**(-19)*t/t**4)**(-37) assuming t is positive. t**(-132978/41) Simplify (q*q**1*q)**(3/29)*q**(2/3)*q*q/(q**3/q)*(q*q**(-2/7))**(-5)/(q**(-5)*q/(q*q*q**(-6)*q*q*q)) assuming q is positive. q**(247/609) Simplify ((x**(-3)*x*x)/(x*x*x/(x/(x/(x*x*x**(7/6))))))**(2/139)/(x**(2/7)*(x*x/x**(-1/5))/x*x/(x**(-6)/x)*x**(2/5)/x) assuming x is positive. x**(-129862/14595) Simplify ((l**(-2/51)*l**32)/(l**(-11)*l**(-6)*l))**(-1/77) assuming l is positive. l**(-2446/3927) Simplify ((((y**1)**(-20/7))**(2/3))**(-11))**(-1) assuming y is positive. y**(-440/21) Simplify ((u/(u/(u/((u*u**(9/5)*u*u)/u)*u)*u)*u*u**(-15/4)*u*u)**(-3/5))**(-11/7) assuming u is positive. u**(-2343/700) Simplify ((n**(-13))**(1/14)/(n*n**(-1/12)*(n**(-13)/n)/n))**(-2/5) assuming n is positive. n**(-221/42) Simplify ((g*g**(-1)*g**(-4/5))/((g*g/(g*g*g**7)*g*g)/g*g**(-3/2)))/(g**(-3/2)/(g**7*g)*(g/(g/(g/(g**(-1)*g))))**(1/2)) assuming g is positive. g**(157/10) Simplify (((a*a**(2/41))/a*a*a)/a**(1/6))/(a**42/(a/a**(8/9))) assuming a is positive. a**(-29525/738) Simplify (((o*o**(-2))/o)/(o*o**(-1/4)))**(-1)/((o*o*o**0)**(4/7))**(-3/2) assuming o is positive. o**(125/28) Simplify ((u**(-7))**17/(u**(-3))**(-2/37))**(-20) assuming u is positive. u**(88180/37) Simplify (t**1*t/t**(-1/3)*t)**26/((t*t/(t/t**(-1)))**(6/23)*(t/(t**(-2/5)*t))**38) assuming t is positive. t**(1072/15) Simplify ((d**(-2/27)*d)**(1/63)*d**(2/27)/(d*d/(d*d**(-8))))**12 assuming d is positive. d**(-60632/567) Simplify ((a/(a/(a**1*a)))**(-25))**3*((a**(-2/5))**(-46))**3 assuming a is positive. a**(-474/5) Simplify (((k**5/k)/k*k**(2/5)*(k/k**0)**(2/5))**(-30))**(15/2) assuming k is positive. k**(-855) Simplify ((d/((d*d*d**(-1/4))/d*d)*d**(-4/7))/(d**(-1)*d)**(-1/38))/(((d**(-2/7)/d)/(d*d/d**(-4)))/((d*d*d/(d/(d*d/d**4*d)))/d**(2/7))) assuming d is positive. d**(187/28) Simplify ((r/(r/(r/(r*r**2*r))*r))**(-9)*r/(r**(10/3)/r)*r/r**(-1)*r)**(24/7) assuming r is positive. r**(904/7) Simplify ((k**(-6)/(k*((k**(-2/15)/k)/k)/k))/(k*k**(-1/2)/k)**(2/7))/((k**(1/3))**(-12/11)*k**(-4)/k**(2/15)) assuming k is positive. k**(893/1155) Simplify ((v**5/v**1)/(v**(-2/11)*v**(-3/2)*v))**(-22) assuming v is positive. v**(-103) Simplify ((j/((j/j**(-2/7))/j)*j/(j*j/(j**(-2/7)*j)))/(j**(2/41))**(-24))**(-2/137) assuming j is positive. j**(-918/39319) Simplify (g/(g**(-7)/g)*g**6)**(-34)/(g*g**0*g*g**4*g*g*g/(g/g**(5/6))*g**(-4)) assuming g is positive. g**(-3089/6) Simplify ((r**13/(r*r/r**(-10)))/((r*r*r/(r/(r/(r*r*r**(-3/13)/r*r))))/((r*r/r**(5/2))/r)))**(-1/25) assuming r is positive. r**(9/130) Simplify (((d*d*d**1*d)/(d*d*d/(d*d*d**18*d)))/((d/(d*(d*d**(-10))/d*d))/d*d**18))**(1/20) assuming d is positive. d**(-1/5) Simplify (n**(-1/5)/n**(-9))/((n/(n/n**(-4)))/n**(-1/2))*((n*n**(-4/3))**50)**(-8/5) assuming n is positive. n**(1169/30) Simplify v**40*v*v*v/v**19*v*(v/(v*v**14))**25 assuming v is positive. v**(-325) Simplify (m*m/((m**(-2)*m)/m)*((m/m**(-1/3))/m)/m*m*m/(m/m**(-1/29))*m*m**(-9)/m)**(-34) assuming m is positive. m**(13906/87) Simplify ((h/(((h*h**(-1))/h*h)/h))/(h/h**(-1/2)*h))**(-49)/((h**(1/2))**(-6)/((h**(-1/2)/h)/h)**(2/11)) assuming h is positive. h**(595/22) Simplify ((((t/t**3*t*t)/t*t*t)/((t**(2/7)/t)/t))/(t**3/t**0))/((t/(t*t*t**(1/4)))**(7/2))**(13/5) assuming t is positive. t**(621/56) Simplify ((p*p*p**31*p*p*(p**(-6/7)/p)/p)**(-39))**33 assuming p is positive. p**(-289575/7) Simplify h**(2/83)/(h*h/(h*h/(h*h*h*(h/h**(-29))/h*h*h)))*(h*h**7)/(h/h**23) assuming h is positive. h**(-330/83) Simplify (w**(2/7)/w*w/w**(-1)*w)**(4/29)/(w**(-7)/(w*w*w/(w**(-1/6)/w*w*w))*(w/(w/w**0*w))**(2/19)) assuming w is positive. w**(221867/23142) Simplify ((t/(t*t*t**1*t))**47)**(-23)/((t**(-1/3))**(-11/8))**(-31/4) assuming t is positive. t**(311669/96) Simplify ((v/v**(-1/4))**(2/65)/(v**(2/3))**11)/((v**1/((v**(-3/8)*v)/v))/(v**3*v/(v**(-2)*v)*v)) assuming v is positive. v**(-833/312) Simplify ((((j/(j**(-4)*j))/j)/(j**(3/2)*j))/((((j/(j/(j/j**(1/7)))*j)/j)/j)/(j/(j**(-6)*j*j))))/((j/(j/(j*j**(2/5))))**(-24))**(-7/2) assuming j is positive. j**(-7837/70) Simplify ((m**(1/12)*m*(m**(-2/3)/m)/m)/(m**(1/3))**28)/(m**0*m**(4/7)*(m**(2/3))**(-14)) assuming m is positive. m**(-181/84) Simplify ((t*t**0)**39)**32/((t**(2/21)/(t*t**(-1/9)))/(t/(t*t**(1/4)/t)*t)**(-1/4)) assuming t is positive. t**(1258343/1008) Simplify (j/j**(-2/19)*(j**4*j)/j*(j/(j*j**(-1/8)))/((j*j*j*j**(-2)*j)/j))/((j/j**(-1))**28/(j*(j*j**(-2/5))/j)**(-25)) assuming j is positive. j**(-10149/152) Simplify ((g**(1/3))**(-25)*g**(1/7)*g**(-5))/(g*g**(-1/2)*g/((g/g**1)/g)*g)**(5/12) assuming g is positive. g**(-2461/168) Simplify (s**(-3/5)/s**6)/((s*(s*s/s**(-1/2))/s*s*s*s*s)/(s*(s*(s**(-39)*s)/s)/s)) assuming s is positive. s**(-511/10) Simplify ((j**(-7/5)*(j/j**(1/23))/j*j)/((j**(-6)*j*j)/j*j*(j*j*j*j*j*j**6*j*j)/j))**(-26) assuming j is positive. j**(25246/115) Simplify ((w*
{ "pile_set_name": "DM Mathematics" }
units digit of (-1 + b/3)*1911/(-14)? 2 Let j(o) = 124*o + 196. What is the units digit of j(33)? 8 Suppose -2*b = -14, -116*a + 113*a + 4*b = -178385. What is the units digit of a? 1 Let c(o) = -1401*o - 58. What is the thousands digit of c(-6)? 8 Let b(n) = -3*n**3 - 49*n**2 + 5*n - 90. What is the thousands digit of b(-19)? 2 Let j(a) = 97*a**3 - 3*a + 2. Let q = -297 - -299. What is the units digit of j(q)? 2 Let s(p) = -37*p - 92. Let d be s(-9). Suppose -247*i + d*i = -2262. What is the tens digit of i? 7 Let j = -550 - -555. Let a(b) = 136*b - 65. What is the units digit of a(j)? 5 Suppose 0 = 27*r - 21*r - 2526. Let p = r - -68. What is the units digit of p? 9 Suppose -8940470 = 570*n + 141*n - 28011623. What is the tens digit of n? 2 Suppose 0 = -22*s - 113*s - 428642 + 5348042. What is the hundreds digit of s? 4 Let d(g) = -g**3 + 18*g**2 + 21*g - 33. Let q be d(19). Suppose -4*y + q*n + 866 = 4*n, -2*y = -n - 432. What is the units digit of y? 7 Let c = 9610 + 1398. What is the tens digit of c? 0 Let k = 1503 - 2533. What is the tens digit of (k/25)/(4 + (-21)/5)? 0 Suppose u + 1 = -0*u. Suppose 43*f + 4*f + 141 = 0. What is the tens digit of (u*5/f)/((-46)/(-1104))? 4 Let n = -127 - -181. What is the hundreds digit of (2384/(-10))/(n/(-135))? 5 Let w be 24/14 + 8/28. Suppose -5*y = -6*y - w. What is the units digit of -9*(-1)/3 + (-4)/y? 5 What is the units digit of 123*(-4 - (-471)/9)? 5 Suppose 64*s + 584629 - 1302815 = 751446. What is the hundreds digit of s? 9 Suppose -4718 = 5*y - 12843. Suppose -y = -7*u + 2*u. What is the units digit of u? 5 Let i = 1626 + -249. Let w = i - 823. What is the hundreds digit of w? 5 Suppose -k + 0*t = -4*t + 5, 4*k = -3*t - 1. What is the tens digit of 534/2 - (3 + k)? 6 Let r = 57459 - 31716. What is the thousands digit of r? 5 Let r = -171 + 175. Suppose -6*k + 11*k - 65 = -5*u, -r*k - 52 = -4*u. What is the tens digit of u? 1 Suppose -3*t + 3636 = 2*j, -15*t + 12*t + 7248 = 4*j. What is the thousands digit of j? 1 Let p = -12 + 16. Suppose 2*b + p*d = -3*b - 20, -2*b + d + 5 = 0. Suppose 8*u - 109 - 755 = b. What is the units digit of u? 8 Suppose 9*a - 666 = 1278. Let g = a + -32. What is the hundreds digit of g? 1 Suppose -5*p + 17 = 7. Let z(y) = -2*y - y**3 - 4*y**p - 5*y + 0*y + 12*y**2. What is the units digit of z(6)? 0 Suppose -1160448 + 2872519 = 86*k - 2638927. What is the thousands digit of k? 0 Suppose -72*n = -914767 - 286049. What is the tens digit of n? 7 Let g(x) = 2*x**3 - 6*x**2 - 14*x + 9. Let c = 122 - 116. Let y be g(c). Let h = 153 - y. What is the units digit of h? 2 Let w(v) = -6342*v - 292. What is the tens digit of w(-1)? 5 Let a = 14 - 4. Suppose 6*u - u = a*u. Suppose 4*h = -5*p + 2*h + 660, u = -3*p - 2*h + 392. What is the tens digit of p? 3 Let t be (4 + 322/21)/((-4)/(-6)). Suppose 3316 = -25*q + t*q. What is the hundreds digit of q? 8 Let s(t) = t**2 - 5*t - 19. Let a be (-8)/(-2) + 2 + 2. Let w be s(a). Suppose -x = -3*i + 55, -4*i + 3*i = w*x - 29. What is the units digit of i? 9 Let h(y) = 389*y**2 - 61*y - 126. Let a be h(-2). Let i = 145 + a. What is the tens digit of i? 9 Let d be (-30)/45 + 14/3. Let s(c) = -4*c + 48. Let j be s(12). Suppose 0*z = -z + i + 6, 3*z - d*i - 20 = j. What is the units digit of z? 4 Let m be 75/(-21) - -3 - 444/(-42). Suppose -3146 = -m*s + 6424. What is the units digit of s? 7 Suppose 5*p + 5*h = 15, 3*p = -p + h + 32. Suppose 0 = 32*c - p*c - 16550. What is the tens digit of c? 6 Let l be 4/(-10) - (1108/5 - 10). Let t = l + 221. What is the units digit of t? 9 Let o be ((-47)/(-4))/(3*1/12). Let w = -1386 - -2148. Suppose 11*v - w + o = 0. What is the units digit of v? 5 Let i = -31 - -30. Let w be (-3)/2*(-7 + 9)*i. Suppose 5*n - 4*r - 642 = -102, -3*r + 351 = w*n. What is the hundreds digit of n? 1 Let j(o) = 871*o - 1225. What is the tens digit of j(43)? 2 Let i be 15 - 17/((-102)/(-36)). Suppose -1382 = -4*u - 3*b, i = -u - 3*b + 359. What is the units digit of u? 4 Suppose 10*f - 6*f + 56 = 0. Let s be (32/112)/((-2)/f). Suppose p + 104 = s*l - 178, 0 = -4*l - 5*p + 592. What is the hundreds digit of l? 1 Let d be 0/(-7 + (5 - 0)). Suppose 2*z - 6 = d, 4*o + 4*z = 6*z + 3522. What is the hundreds digit of o? 8 Suppose -96*k = -97*k + 202. Suppose -6*n + k + 176 = 0. What is the tens digit of n? 6 Let x(m) = 42*m**2 - 9*m + 29. What is the hundreds digit of x(7)? 0 Suppose 4*c = -5*o + 42, -3*o = -2*c - c - 9. Suppose -1671 - 657 = -o*f. What is the units digit of f? 8 Suppose m - 200 = 5*l + 2230, 0 = -5*m - l + 12046. Suppose -2*x = 3*x - j - m, -3*x + 1423 = 4*j. What is the tens digit of x? 8 Suppose -8*d + 53027 + 415053 = 32*d. What is the tens digit of d? 0 Suppose -9*k + 45 = -36. What is the tens digit of 465/k*(-24)/(-20)? 6 Suppose 11*d - 44*d = -726. What is the tens digit of (-5)/(-2) + -2 + 21175/d? 6 Let t(z) = 5*z**2 - 26*z + 78. Let x(a) = a - 17. Let n be x(1). What is the tens digit of t(n)? 7 Let x be 1*8 + (-3 - 1 - -1). Suppose x*r - 36 = -21. Suppose -r*m + 124 = -74. What is the units digit of m? 6 Let s = 185 + 527. Suppose -p + 549 = -s. What is the units digit of p? 1 Suppose -5*z - 1029 = -2*z - v, -z - 343 = 2*v. Let t = 136 + z. Let g = -73 - t. What is the tens digit of g? 3 Suppose -h - 4*n - 8 = 1, -5*h + 5*n = -55. Suppose h*j = 6440 - 2051. What is the units digit of j? 7 Let m(t) be the first derivative of -129*t**2/2 - 205*t + 110. What is the units digit of m(-9)? 6 Let v(l) = -28*l**3 - 6*l**2 + 4*l + 17. Let q be v(5). Let d = -2493 - q. What is the hundreds digit of d? 1 Suppose 181*k = 540827 + 1539662 + 1191267. What is the tens digit of k? 7 Suppose 120771 = 3*c + 32727. What is the units digit of c? 8 Suppose 12*r + 47 - 35 = 0. What is the hundreds digit of r + -2 - (-242 + 9/(-9))? 2 Let q = 11444 + -11438. Suppose 2*c + 5*h - 121 = 367, -3*c + 749 = -h. Suppose 3*u - q*u + c = 0. What is the tens digit of u? 8 Let s(u) = -1215*u + 1974. What is the tens digit of s(-3)? 1 Suppose -z + 2*z - 48 = 0. Let o be (-8)/(-6) + 1472/z. Suppose 0 = -4*j + 3*j + o. What is the tens digit of j? 3 Suppose -20*g - 21*g + 28*g = -1456. Let m = 29 - -50. Let b = g + m. What is the tens digit of b? 9 Suppose 250*p = 255*p - 10, 3*h = -p + 50723. What is the units digit of h? 7 Let s = 38 + -68. What is the hundreds digit of ((-768)/s)/((-16)/(-280))? 4 Let d(z) = 9*z**2 + 147*z + 450. What is the tens digit of d(-48)? 3 Let p(c) = -c**2 + 15. Let t be p(-5). Let n be 2/5 - (-74)/t. What is the tens digit of (2 + 19)*((-11)/n + 1)? 5 Let x be 8/68 + (-98)/(-34). Suppose x*f + 371 = 2*r, -3*r + 5*f = -r - 361. What is the hundreds digit of r? 1 Let i(o) = o**3 - 10*o**2 - 9*o - 9. Let c be i(11). Let b(j) = -c + 30 - 15*j + 2*j**3 + 19*j**2 - 29 - 12. What is the tens digit of b(-10)? 2 Let g = 8787 + 31459. What is the ten thousands digit of g? 4 Let x(n) = -9*n - 10. Let k = -2 + 2. Let t be 0 + -5 + k/1. What is the tens digit of x(t)? 3 Suppose -3*o + 36 = -66. Let p = -13 + o. What is the tens digit of 43/(-3)*p/(-7)? 4 Suppose -3*w = w + 952. Suppose 0 = -4*o, 3*v + o = -4*o - 387. Let y = v - w. What is the hundreds digit of y? 1 What is the ten thousands digit of -5*2*5/((-60)/20778)? 1 Let a = -232 + 232. Suppose 9*s - 13*s + 1524 = a. What is the units digit of s? 1 What is the units digit of 54*(8/18 + 684/648)? 1 Let z be (2 - 6185/10)*2/(-3). Let t = -369 + z. What is the tens digit of t? 4 Let k = -310 - -298. What is the units digit of k/9 - 132360/(-72)? 7 Let y(d) = 223*d - 8770. What is the hundreds digit of y(85)? 1 Let j = 73 + 7. Let y = 140 - j. Let r = 119 - y. What is the units digit of r? 9 Suppose 45486 = r + n - 30228, 2*r + n - 151420 = 0. What is the ten thousands digit of r? 7 Let h = -64 + 77. Suppose z - 34 = -h. Suppose 4*w - 3*v - z = 3*w, w + 2*v - 6 = 0. What is the units digit of w? 2 Let d be 2/(-9) + 1841/63. Suppose 5*u = 5*t + 500, 25*t + 335 = 3*u + d*t. What is the hundreds digit of u? 1 Suppose 27*b = -36*b + 460074 + 835962. What is the tens digit of b? 7 Let y = -60708 - -153391. What is the thousands digit of y? 2 Let m = -408 - -552. Suppose -2*f - 3*k + m = -397, -2*f = -k - 521. What is the tens digit of f? 6 Let x(m) = 2974*m - 649. Wh
{ "pile_set_name": "DM Mathematics" }
is 226.8736 micrograms in nanograms? 226873.6 Convert 7.505359l to millilitres. 7505.359 How many millilitres are there in twenty-one halves of a litre? 10500 What is 22777.29ms in minutes? 0.3796215 What is 551545.7 weeks in hours? 92659677.6 Convert 7.44124ng to micrograms. 0.00744124 How many millilitres are there in 27/5 of a litre? 5400 Convert 3.30726 millimeters to kilometers. 0.00000330726 What is 27/5 of a litre in millilitres? 5400 How many micrometers are there in eighteen fifths of a millimeter? 3600 What is three fifths of a century in months? 720 What is 15/4 of a century in months? 4500 What is 34/5 of a centimeter in micrometers? 68000 Convert 0.5006745ml to litres. 0.0005006745 Convert 248.7341cm to meters. 2.487341 What is twenty-one fifths of a millisecond in microseconds? 4200 What is three eighths of a microgram in nanograms? 375 Convert 475241.1 decades to millennia. 4752.411 How many micrometers are there in 11050.03km? 11050030000000 How many millilitres are there in 0.3496688l? 349.6688 Convert 6.899kg to tonnes. 0.006899 How many millilitres are there in twenty-five quarters of a litre? 6250 What is 833.0086 millennia in decades? 83300.86 What is 85.88706 minutes in microseconds? 5153223600 What is 5/8 of a micrometer in nanometers? 625 Convert 669298.2nm to meters. 0.0006692982 How many milliseconds are there in 0.359314 nanoseconds? 0.000000359314 How many millimeters are there in 11/10 of a centimeter? 11 How many years are there in 49/5 of a century? 980 How many weeks are there in 9388.1592 milliseconds? 0.00001552275 How many centimeters are there in three eighths of a kilometer? 37500 Convert 0.6509972 weeks to hours. 109.3675296 What is twenty-five eighths of a week in minutes? 31500 Convert 939.5434us to nanoseconds. 939543.4 How many micrograms are there in 9348.216ng? 9.348216 What is 1/10 of a microgram in nanograms? 100 How many millilitres are there in three tenths of a litre? 300 How many years are there in 4191.18 centuries? 419118 How many milligrams are there in 675.9525ng? 0.0006759525 How many grams are there in 0.6741394ug? 0.0000006741394 How many centuries are there in 333235.8 millennia? 3332358 Convert 832025.2m to nanometers. 832025200000000 How many milliseconds are there in 90.73223 minutes? 5443933.8 How many milliseconds are there in twenty-one fifths of a second? 4200 How many grams are there in three eighths of a kilogram? 375 What is 13.29481cm in millimeters? 132.9481 Convert 42849.22 centuries to millennia. 4284.922 What is 21/2 of a tonne in kilograms? 10500 How many millennia are there in 822773.8 decades? 8227.738 Convert 2073.497kg to milligrams. 2073497000 What is 27306.52 litres in millilitres? 27306520 How many millilitres are there in fourty-five eighths of a litre? 5625 What is eighteen fifths of a litre in millilitres? 3600 What is 1/4 of a gram in milligrams? 250 What is 5.849534 millennia in decades? 584.9534 How many millilitres are there in eighteen fifths of a litre? 3600 What is three fifths of a litre in millilitres? 600 How many millilitres are there in 45/4 of a litre? 11250 What is one tenth of a tonne in kilograms? 100 How many grams are there in 45/2 of a kilogram? 22500 What is twenty-one quarters of a kilometer in meters? 5250 What is five quarters of a litre in millilitres? 1250 How many millilitres are there in fourty-two fifths of a litre? 8400 What is 91441.69 centuries in months? 109730028 Convert 623.3254 nanometers to centimeters. 0.00006233254 What is 8.817936 milligrams in micrograms? 8817.936 What is 3/32 of a millimeter in nanometers? 93750 What is twenty-one halves of a litre in millilitres? 10500 What is 44/5 of a century in decades? 88 What is 62094.4l in millilitres? 62094400 How many centuries are there in 108.5032 decades? 10.85032 How many centimeters are there in 19696.4 meters? 1969640 How many micrograms are there in 88/5 of a milligram? 17600 What is 5/4 of a kilogram in grams? 1250 How many years are there in 5.034511 decades? 50.34511 Convert 1395.846 millimeters to micrometers. 1395846 How many microseconds are there in twenty-five halves of a millisecond? 12500 How many grams are there in 11/4 of a kilogram? 2750 What is 946935.2ug in grams? 0.9469352 How many milliseconds are there in 52.05497 hours? 187397892 What is 1938.0087 seconds in minutes? 32.300145 What is 3/50 of a millennium in years? 60 Convert 6752.998 microseconds to seconds. 0.006752998 What is 4.375844l in millilitres? 4375.844 What is 188.6449 litres in millilitres? 188644.9 What is 0.278545ml in litres? 0.000278545 What is 24.332637 months in years? 2.02771975 How many litres are there in 617.2869ml? 0.6172869 What is 4/15 of a decade in months? 32 Convert 8.975678 milligrams to micrograms. 8975.678 Convert 4.844554 millennia to months. 58134.648 What is 11/8 of a millennium in years? 1375 What is seven quarters of a minute in seconds? 105 How many microseconds are there in 6.443925 hours? 23198130000 How many centuries are there in 7/2 of a millennium? 35 How many micrometers are there in 11/2 of a centimeter? 55000 What is 1.847142l in millilitres? 1847.142 How many years are there in 31/2 of a millennium? 15500 Convert 726.8078 milligrams to kilograms. 0.0007268078 What is 48485.94 millilitres in litres? 48.48594 How many hours are there in 2879.3124 minutes? 47.98854 Convert 726.4375l to millilitres. 726437.5 How many months are there in 309.8573 decades? 37182.876 How many millilitres are there in eleven quarters of a litre? 2750 What is 23/6 of a week in minutes? 38640 Convert 988038.4ml to litres. 988.0384 How many nanograms are there in 39.61037 grams? 39610370000 What is 72.27383m in millimeters? 72273.83 What is 11/4 of a kilometer in meters? 2750 What is 14.33985l in millilitres? 14339.85 Convert 29.24384 milligrams to tonnes. 0.00000002924384 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is 0.7696859 kilometers in centimeters? 76968.59 What is 5/4 of a gram in milligrams? 1250 Convert 179124390.9ns to weeks. 0.00000029617128125 How many micrograms are there in eleven quarters of a milligram? 2750 How many milliseconds are there in 21363.15 seconds? 21363150 How many millilitres are there in 8.702181l? 8702.181 How many nanometers are there in 969792.3 meters? 969792300000000 How many months are there in 782061.6 years? 9384739.2 What is 7.379428 centimeters in millimeters? 73.79428 How many micrometers are there in 8325.475m? 8325475000 How many nanoseconds are there in 847713.1 minutes? 50862786000000000 What is 79/2 of a day in hours? 948 Convert 28.66832l to millilitres. 28668.32 What is 1/5 of a milligram in micrograms? 200 How many grams are there in 13/4 of a kilogram? 3250 What is 9/16 of a kilometer in centimeters? 56250 How many litres are there in 721312.4 millilitres? 721.3124 What is 8412.24 millilitres in litres? 8.41224 How many millilitres are there in three fifths of a litre? 600 What is 5726.975 years in millennia? 5.726975 How many months are there in thirty-seven fifths of a decade? 888 What is 0.3202099 days in nanoseconds? 27666135360000 How many litres are there in 0.2761136 millilitres? 0.0002761136 How many days are there in 220323.27 hours? 9180.13625 What is 61/4 of a micrometer in nanometers? 15250 How many minutes are there in 667263.9 hours? 40035834 How many meters are there in 5/4 of a kilometer? 1250 How many micrograms are there in 27/5 of a milligram? 5400 How many micrograms are there in 13/4 of a milligram? 3250 What is 9914.033 days in seconds? 856572451.2 What is 88.99382cm in meters? 0.8899382 What is 69.24907 centuries in decades? 692.4907 What is 3/50 of a centimeter in micrometers? 600 How many millilitres are there in 7.278237l? 7278.237 How many minutes are there in eleven halves of a hour? 330 How many months are there in 8/15 of a decade? 64 How many meters are there in 3.795846 kilometers? 3795.846 What is 88023.38 millilitres in litres? 88.02338 How many millimeters are there in 26/5 of a meter? 5200 How many meters are there in 3/5 of a kilometer? 600 How many millilitres are there in 11/4 of a litre? 2750 Convert 11.596848 minutes to hours. 0.1932808 Convert 650.8109 mil
{ "pile_set_name": "DM Mathematics" }
n 81*p - 12*p - 41*p - 30*p. -2*p Collect the terms in 5*s**2 - 5*s**2 + 198*s**3 - 96*s**3 - 100*s**3. 2*s**3 Collect the terms in 24*g - 150118*g**2 - 49*g + 25*g. -150118*g**2 Collect the terms in 238*c + 223*c + 242*c - 692*c. 11*c Collect the terms in -86*q + 43*q + 1290*q**3 + 43*q. 1290*q**3 Collect the terms in -33*g**3 + 9*g**3 + 13*g**3 + 10*g**3. -g**3 Collect the terms in -37*y + 16*y + 22*y - 88*y**2. -88*y**2 + y Collect the terms in -23*a - 8 + 65*a - 56*a + 448*a. 434*a - 8 Collect the terms in 16115*g**2 + 2*g - 2*g + 16217*g**2 - 32331*g**2. g**2 Collect the terms in 1396*q - 703*q - 1062*q. -369*q Collect the terms in 141 - 141 - 134*q. -134*q Collect the terms in -2*c - 6664*c**3 + 6660*c**3 - 1 + 1 + 2*c. -4*c**3 Collect the terms in 208*z**3 - 1 + 17*z**3 + 1. 225*z**3 Collect the terms in 466*g**2 + 324*g**2 - 3*g**3 + 227*g**2 - 124*g**2. -3*g**3 + 893*g**2 Collect the terms in -6*u**2 + 0*u + 0*u - 769 + 769. -6*u**2 Collect the terms in -11*z**3 + 6*z**2 + 3*z**3 + 16*z**2 - 4*z**3. -12*z**3 + 22*z**2 Collect the terms in -8*h**2 - 367*h - h**2 + 52*h**2 - 1. 43*h**2 - 367*h - 1 Collect the terms in 292*d - 152*d + d**2 - 237 - 140*d. d**2 - 237 Collect the terms in 12*z - 6*z + 32*z**3 - 33*z**3 - 6*z. -z**3 Collect the terms in -2433 + 4771 - 2338 - 5*x**2. -5*x**2 Collect the terms in 17*i**2 - 25*i**2 - 15*i**3 + 3*i**2. -15*i**3 - 5*i**2 Collect the terms in -34*g + 50*g + 25 + 35*g - 8. 51*g + 17 Collect the terms in -d**2 + 14 + 11 - 7*d**2 - 25. -8*d**2 Collect the terms in -24*o**3 - 1125255820 + 1125255820. -24*o**3 Collect the terms in -6*i - 30*i - 27*i - 11*i - 5*i. -79*i Collect the terms in 56 - 17 - 39 + 256*h. 256*h Collect the terms in -11375*a**3 + a**2 + 16 + 11377*a**3 + 0*a**2 - a**2. 2*a**3 + 16 Collect the terms in -53*m + m**3 + 4*m**3 + 102*m - 48*m. 5*m**3 + m Collect the terms in -29 + 124*j + 29 - 86*j + 462*j. 500*j Collect the terms in -2178*q + 3*q**2 + q**2 + 2178*q. 4*q**2 Collect the terms in -929*m**3 - m - 8 + 5 + 673*m**3 - 6. -256*m**3 - m - 9 Collect the terms in -431 + 361 + 70 - 56*o. -56*o Collect the terms in 0*v - 100 + 3*v - v - 4*v. -2*v - 100 Collect the terms in -q**2 - 38490 + 38490. -q**2 Collect the terms in -215*d - 419*d - 72*d. -706*d Collect the terms in -4 + 11 - 7 - 2099*r + 2176*r. 77*r Collect the terms in 525*q**2 + 90059*q - 90059*q. 525*q**2 Collect the terms in -33*x - 7*x**2 - 3*x**2 + 2*x**2 + 33*x. -8*x**2 Collect the terms in f - 306 + 165 + 141 - 36*f**2. -36*f**2 + f Collect the terms in -5 + 3 + 2 - 2777*z**3. -2777*z**3 Collect the terms in -104*q**3 - 48*q**3 + 5*q**3 + 3077*q**2 - 3079*q**2 + 13*q**3. -134*q**3 - 2*q**2 Collect the terms in 1 - 1 - 560*w + 1122*w - 568*w. -6*w Collect the terms in -3*z - 510 + 510 + 9*z**3. 9*z**3 - 3*z Collect the terms in 52*r**3 - 57*r**3 + 28*r**3 - 14*r**3. 9*r**3 Collect the terms in -6*o**2 + 2 + 272*o**2 + 2. 266*o**2 + 4 Collect the terms in 23047*j**3 + 23039*j**3 - 46091*j**3. -5*j**3 Collect the terms in -2427*k**3 - 783*k**3 - 3490*k**3. -6700*k**3 Collect the terms in 3*w - 3*w - 14676 + w**3. w**3 - 14676 Collect the terms in -68 - 29 + 124 - 19*g - 27. -19*g Collect the terms in -4 + 183*z**2 - 317*z**2 + 158*z**2. 24*z**2 - 4 Collect the terms in -65*j**3 - 607*j**3 - 19*j**3 - 71*j**3. -762*j**3 Collect the terms in -29664*t + 11*t**2 + 59359*t - 29695*t. 11*t**2 Collect the terms in -626*b**3 - 634*b**3 + 1245*b**3. -15*b**3 Collect the terms in -48*k**2 - 15*k**3 + 48*k**3 - 45*k**2 + 34*k + 93*k**2. 33*k**3 + 34*k Collect the terms in 4*y**2 - 1312*y**3 + 2*y**2 - 6*y**2. -1312*y**3 Collect the terms in 1817*v + 4950*v + 4625*v + 4139*v. 15531*v Collect the terms in 4591079*x**2 + 4591077*x**2 - 9182161*x**2. -5*x**2 Collect the terms in -73 + 73 - 14205*j + 14198*j. -7*j Collect the terms in 2550*g**3 - 4630*g**3 + 2145*g**3. 65*g**3 Collect the terms in 303358133*g + g**3 - 303358133*g. g**3 Collect the terms in -2094783*l + 2094783*l - 3*l**3. -3*l**3 Collect the terms in -5436*d**2 - 5031*d**2 - 10102*d**2. -20569*d**2 Collect the terms in -1059*c**3 + 609*c**3 + 556*c**3. 106*c**3 Collect the terms in 20777 + 0*h - 20777 + 3*h. 3*h Collect the terms in 71656*z**2 + 71663*z**2 - 143343*z**2. -24*z**2 Collect the terms in -91*j**3 + 54*j - 172*j**3 - 54*j. -263*j**3 Collect the terms in 2344*s + 2344*s - 17*s**2 - 4694*s. -17*s**2 - 6*s Collect the terms in 29 + 23 + 27 - 32*c**2 - 81. -32*c**2 - 2 Collect the terms in 96 + 7661*q**2 - 96. 7661*q**2 Collect the terms in -35325 + 18490 + 16835 + h. h Collect the terms in 11876*i - 5936*i - 5940*i - 110*i**3. -110*i**3 Collect the terms in 40*h - 44*h**2 - 1 - 65*h + 19*h. -44*h**2 - 6*h - 1 Collect the terms in -3878 + 1943 + 3*a**2 + 1935 - 4*a**2. -a**2 Collect the terms in -31 + 17 + 20*p**3 - 2 + 16. 20*p**3 Collect the terms in -36*g**2 - 42*g**2 + 192*g**2 - 38*g**2 - 35*g**2 - 24*g**2. 17*g**2 Collect the terms in 39 + 108 + 2 + 12*h - 21*h. -9*h + 149 Collect the terms in 214*g**3 - 436*g**3 + 134*g**2 + 220*g**3. -2*g**3 + 134*g**2 Collect the terms in 274428*v**2 - 548835*v**2 + 274416*v**2. 9*v**2 Collect the terms in -3*u**3 + 62987302 + 3*u - 3*u - 62987302. -3*u**3 Collect the terms in -6*g**2 + 8*g**2 - 42248*g + 6 + 42248*g. 2*g**2 + 6 Collect the terms in 46*j + 34*j + 32*j - 4*j - j. 107*j Collect the terms in -35 + 5*y - 6*y**2 + 2*y - 7*y + 33. -6*y**2 - 2 Collect the terms in -31*i**3 + 23 - 46 + 24. -31*i**3 + 1 Collect the terms in 1025719207 + q**3 - 1025719207. q**3 Collect the terms in 2068*z - 20*z**2 - 2068*z + 12*z**2. -8*z**2 Collect the terms in 351 - 1756*m + 338*m - 351. -1418*m Collect the terms in -49*g**3 + 14*g**2 - 81*g**3 - 14*g**2. -130*g**3 Collect the terms in 157581*l - 78789*l - 78793*l. -l Collect the terms in 10*n + 3*n + 2*n - 34*n + 4*n. -15*n Collect the terms in 6 + 4 + 0*w**3 + 4*w**3. 4*w**3 + 10 Collect the terms in -7*x**2 + 12 + 93 - 105. -7*x**2 Collect the terms in 179*o + 203*o + 64 - 59 + 46*o. 428*o + 5 Collect the terms in -182*h + 182*h + 286*h**2. 286*h**2 Collect the terms in -103*j + 6207*j**2 + 103*j - 6382*j**2. -175*j**2 Collect the terms in -1 - 46*k**2 - 16*k**2 + 3*k - 20*k**2 - 261*k**2. -343*k**2 + 3*k - 1 Collect the terms in -47614*h**3 + 23784*h**3 + 23776*h**3. -54*h**3 Collect the terms in 193 - 561 + 368 + 4*i**2. 4*i**2 Collect the terms in -3*b - 18*b**3 + 3*b - 20 + 20. -18*b**3 Collect the terms in 5 - 7*y - 5 + 41*y. 34*y Collect the terms in -2899902*n**2 - 192*n**3 - 139*n**3 + 2899902*n**2. -331*n**3 Collect the terms in -286983*b**2 - 287027*b**2 - 4*b**3 + 6*b**3 + 574010*b**2. 2*b**3 Collect the terms in 2257*l**3 + 2258*l**3 + 2251*l**3 - 6743*l**3. 23*l**3 Collect the terms in 22*l**2 + 252*l**2 + 281*l**2 - 105*l**2. 450*l**2 Collect the terms in 296919 + 62*m - 3*m - 296919. 59*m Collect the terms in -343*b**2 + 159 - 78 - 84. -343*b**2 - 3 Collect the terms in 2175*s**3 + 463*s - 231*s - 232*s. 2175*s**3 Collect the terms in 9218 - 31*v - 25*v + 54*v. -2*v + 9218 Collect the terms in -2*y**3 + 7*y**3 + 60*y**2 + 12*y**3 - 60*y**2. 17*y**3 Collect the terms in -380*p**3 + 2*p - 771*p**2 + 387*p**2 + 384*p**2 + 4. -380*p**3 + 2*p + 4 Collect the terms in -33619 + 33619 - 2*l. -2*l Collect the terms in -554*k**2 - 531*k**2 + 1096*k**2. 11*k**2 Collect the terms in 2027*y - 3859*y + 1835*y. 3*y Collect the terms in -17*v**3 + 22 + 33 - 79*v**3 - 55. -96*v**3 Collect the terms in 17*t**2 - 9 - 8 - 4*t**2 + 17. 13*t**2 Collect the terms in -858*j - 854*j - 12 + 1701*j. -11*j - 12 Collect the terms in 463051 - 31*g**2 - 463051. -31*g**2 Collect the terms in 86 - 18 - 4*c**2 + 524. -4*c**2 + 592 Collect the terms in -2880*y**3 - 4*y**2 - 3*y**2 + 7*y**2. -2880*y**3 Collect the terms in 2*u - 3*u + u + 77584*u**3. 77584*u**3 Collect the terms in -33*o**2 + 7*o**2 - 15*o**2. -41*o**2 Collect the terms in 193064*g - 579208*g + 193084*g + 193063*g. 3*g Collect the terms in 36*g**2 - 18*g**2 + 34*g**2 + 28*g**2 + 33*g**2 - 126*g**2. -13*g**2 Collect the terms in -12742 + 6368 + 6374 + 94*k**3. 94*k**3 Collect the terms in 33*z - 2 + 41*z - 54*z + 0. 20*z - 2 Collect the terms in -3*o - 68 - 2*o + 5*o - 3*o. -3*o - 68 Collect the terms in n + 5 - 8*n - 12
{ "pile_set_name": "DM Mathematics" }
4269 + -4267. Sort 2/5, -1/4, -2/9, b. -1/4, -2/9, 2/5, b Suppose 0 = -3*u - 0*u - 9. Suppose -13304 + 13262 = -21*l. Sort 1, l, u, 5 in increasing order. u, 1, l, 5 Suppose 0 = -s - 5*y - 7, 2*s - y = -147 + 155. Sort 4, -4, 129, s in decreasing order. 129, 4, s, -4 Let j(l) = l**2 + 32*l + 63. Let p be j(-30). Sort 1, p, 491, -4 in decreasing order. 491, p, 1, -4 Let g be (-7979)/2525 + 0 + 3. Put -3, g, -43/2 in ascending order. -43/2, -3, g Let x = -0.3 + -0.1. Suppose -9*y = -y - 24. Suppose 4*p + 5 = -y. Sort x, p, 0, 2. p, x, 0, 2 Suppose 80*k - 137 - 257 = 6. Sort k, 9, 3, -1, -4 in decreasing order. 9, k, 3, -1, -4 Let q = 15386 + -15386.5. Put 9, q, -3, -8/3 in descending order. 9, q, -8/3, -3 Suppose 112 = 2*h - 4*z + 560, 239 = -h - 3*z. Put -3, h, 8 in decreasing order. 8, -3, h Let r = -4422/5 - -884. Let q = 3.5 + -3. Let o = 0 + q. Sort r, 0.1, 3, o in decreasing order. 3, o, 0.1, r Let k = 103 + -112. Let u be 363/(-18) - (-2)/(-6). Let z = u - -21. Sort z, -4, k. k, -4, z Let t = -0.379 - 0.331. Let f = t - 1.29. Let m = 1.8 + 0.2. Sort 37, m, f in ascending order. f, m, 37 Suppose 30*y = 28*y + 2, m = -3*y + 2. Sort m, 3, -172 in ascending order. -172, m, 3 Let t be (0/40)/((-6)/2). Suppose -d + 94 - 98 = t. Let m be ((-1)/(-7))/((-3)/9). Sort d, -1/4, m in increasing order. d, m, -1/4 Suppose 0 = -2*w + 8 - 2. Let i be (-2 - (-10)/2) + (2 - -909). Suppose i*s = 918*s - 44. Sort 1, w, s in descending order. s, w, 1 Let f = 10762 - 10767. Put -10, f, 2/7, 1 in ascending order. -10, f, 2/7, 1 Let c be ((-21)/21)/((((-12)/15)/4)/(-1)). Sort -12, -4, c, -2, -6. -12, -6, c, -4, -2 Let r = 10818 + -10817.8. Let l(m) = m + 3. Let b(x) = x + 1. Let h(p) = -4*b(p) + 2*l(p). Let n be h(3). Sort n, r, 2/11 in descending order. r, 2/11, n Suppose 5*d - 2*g = -3*g + 5, -5*d = 5*g - 5. Suppose -2*r - 70*f = -71*f + 15, 27 = -2*r - 3*f. Sort 5, d, -4, r. r, -4, d, 5 Let c = -31 - -38. Let w = -217/4 + 54. Put 10, c, w in decreasing order. 10, c, w Let q be -3 - (11/(5 + 6))/(2/(-8)). Put q, 2, -5, 37, -4 in increasing order. -5, -4, q, 2, 37 Let m be 18/((-48)/(-16)) + (3 - 4). Sort -5, 1664, m. -5, m, 1664 Suppose 81 = -31*n + 1 - 13. Let u be 3 + (1 - 1)/3. Put n, 1, -4, u in decreasing order. u, 1, n, -4 Let y = 1.491 - 1.331. Let c = 35 - 34. Put 0.1, c, 2/11, y in ascending order. 0.1, y, 2/11, c Let i be 2/(-4) - 780/(-8). Suppose -i + 7 = 5*q. Let m = -3839 - -3839.3. Sort m, -4, q in increasing order. q, -4, m Let w = -5892 + 5896. Sort 8, -5, w, 0, 1. -5, 0, 1, w, 8 Let g = -1026 + 728. Let t = g + 301. Put 0.2, t, -0.13 in descending order. t, 0.2, -0.13 Let i = 65.2 + -60.83. Let k = -4.57 + i. Sort -23, -1, k. -23, -1, k Suppose -5*r - 3*t = -10*r + 18, -t - 13 = -4*r. Suppose r*m = -2*y, 0*m = 3*y - m. Put y, -3, 9, 5 in descending order. 9, 5, y, -3 Let n(f) = 63*f + 256. Let s be n(-4). Let x be (10 - 9)/(2/(-42)). Let w = x - -24. Sort w, s, 0 in increasing order. 0, w, s Let r be ((-48)/10 - (-1)/(-5)) + 2. Let f be ((-3)/(-9) + r - -2)*24. Let h be 74/(-44) - 24/f. Sort -3, h, 7 in decreasing order. 7, h, -3 Let z be 1*(0 + 6/(-14)). Let g = 202.9868 - -0.0132. Let x = -202.9 + g. Sort z, 2/3, x in ascending order. z, x, 2/3 Suppose 0 = 3*w - 4*m + 3495 - 3463, 5*w + 32 = -4*m. Put 79, w, -2 in descending order. 79, -2, w Let k = -267.9935 - 0.0065. Let t = -5491.5 - -5493.5. Sort k, t, 4 in increasing order. k, t, 4 Suppose -11148*l = -11109*l + 117. Put 5, l, 15, -9, -2 in decreasing order. 15, 5, -2, l, -9 Let h = -81 + 85. Suppose -124 = -5*j - 2*i - 35, h*i + 88 = 4*j. Let g be -18 + j + -2*2. Sort g, 8, 1 in decreasing order. 8, 1, g Let n be ((-630)/(-150))/((-9)/(-15)). Suppose -17 = -4*c + u, 6*c - 5*c = 3*u + n. Suppose m + 9 = -2*z - 0*m, 19 = -4*z - 3*m. Sort 0.1, -4/7, z, c. z, -4/7, 0.1, c Let o be 24 + (-23 - 3) + (-12)/8 + 3. Put 5, o, 2/15, -2, -1 in increasing order. -2, -1, o, 2/15, 5 Let k be (48/(-192))/((-1)/(-16)). Let y = -36.46 - -36. Let j = 0.06 + y. Put 1/4, j, 2/7, k in decreasing order. 2/7, 1/4, j, k Let q = -8865 + 8771. Put q, -5, 0 in descending order. 0, -5, q Suppose -8*g + 24 = -2*g. Suppose g*y + 28 = -3*c - y, -13 = 3*c + 2*y. Let j(r) = r**2 - 4*r - 3. Let q be j(c). Sort 1, 3, q, -5 in decreasing order. 3, q, 1, -5 Let r(u) = u**2 - 24*u - 111. Let p be r(28). Put -265, 2, p in increasing order. -265, p, 2 Suppose 75 = 3*t + 4*j - 0*j, 5*j - 15 = 0. Let a be (2/3)/(t/63). Suppose n - 10 = -4*n, -2*n + 4 = 4*o. Sort 5, o, a, -3. -3, o, a, 5 Let g = 261 - 239. Let z = 26 - g. Put -2/7, z, 1, 0.3 in increasing order. -2/7, 0.3, 1, z Let i be (-2)/(-8) - 38/(-16). Let c = -39/16 + i. Suppose -12*f + 11 = -2 - 35. Put f, -3, c in descending order. f, c, -3 Let o be ((-3)/(-4) - (-6)/(-24))*78. Let y(v) = 3*v + 2. Let f be y(3). Suppose f - o = 7*n. Sort 1/2, -2/15, n in descending order. 1/2, -2/15, n Suppose 31*g - 12*g = -12*g + 651. Put g, -2/5, -6.8 in descending order. g, -2/5, -6.8 Let c = 30 - 52. Let y = -1920 - -1897.9. Let o = y - c. Sort 0.4, 0, 2/9, o in ascending order. o, 0, 2/9, 0.4 Let z be -1 - (-2)/(4/14). Let p = -22484 + 22479. Suppose 0 = 5*l - 1 - 9. Sort l, z, p. p, l, z Let v = 0 + -1. Let z = 120 + -170. Let r = z - -53. Sort r, v, -2 in decreasing order. r, v, -2 Let z be (-6)/21 - (48/(-21) + 0). Let d be -2*z/(-8)*(-20)/(-2). Let h(k) = k**2 + 4*k + 1. Let j be h(-3). Put 1, -1, j, d in descending order. d, 1, -1, j Let i = 2.32 + 12.68. Let q = i + -11. Put 8, 0, 2/9, q in decreasing order. 8, q, 2/9, 0 Let b(y) = -36*y**2 + 186*y - 30. Let o be b(5). Put 2, -279, 8, o in ascending order. -279, o, 2, 8 Let r(y) = -303*y**2 - 14*y + 14. Let p be r(1). Let s = p - -304. Suppose 4*z - 36 = 4*u, -3*z + 3*u = -6*z - 3. Sort z, 2, s in increasing order. s, 2, z Let c = 2347 + -2351. Put -6, -0.5, c, -0.2 in decreasing order. -0.2, -0.5, c, -6 Let k be -1 + (-22)/(-44) + 21/6. Sort 2, 6, k, -4 in ascending order. -4, 2, k, 6 Let o = -2608 - -2573. Put -5, o, 3, -2, 5 in descending order. 5, 3, -2, -5, o Let v = 24076/38915 - -4/2715. Let g = -2/43 - v. Sort -2, 0, g, 3/5 in descending order. 3/5, 0, g, -2 Let s(h) = -2*h**2 - 16*h - 11. Let u be s(-7). Suppose -13 = -a + 2*a - 4*d, 0 = 2*d - 6. Put u, -111, a in descending order. u, a, -111 Suppose 176*u - 73141 = 31579. Put 0, u, 3 in descending order. u, 3, 0 Let x = 12374 + -12376. Put 4, 9, -4, x, 19 in increasing order. -4, x, 4, 9, 19 Let r be 1*-1 + 48/44. Let a = 6.86 - -37.44. Let m = -45 + a. Put 4, r, 2/7, m in descending order. 4, 2/7, r, m Let n = 15935/9156 + 22/2289. Let t = -0.07 - -1.77. Sort t, n, -3/4. -3/4, t, n Let b be -1 - -3*((-64)/18 - -4). Sort -5, b, -2/499, 0.2. -5, -2/499, 0.2, b Let v = 10.9 + -7.9. Let z = 16.9 - -4.1. Let g = z + -21. Sort 1/5, g, v in descending order. v, 1/5, g Let a be 2/8 + (-141)/(-12). Suppose 3 + a = 5*u. Let m = -116 + 114. Sort u, 25, m in decreasing order. 25, u, m Suppose -1 - 39 = -4*n. Suppose n*x = 5*x. Let m = 134.6 - 135. Sort 0.5, m, x in descending order. 0.5, x, m Let r = -0.08 - 2.42. Let w = -0.5 - r. Let l be (-76)/(-57)*9/(-66). Sort l, w, -13. -13, l, w Let h be (-4)/(-5)*(4/10 + (-1806)/140). Sort 3, -9, h in decreasing order. 3, -9, h Let v(p) = -2*p**3 - 12*p**2 - 3*p - 3. Let x(u) = -2*u**2 - u. Let c(s) = v(s) - 6*x(s). Let m be c(0). Put 1, m, 5 in decreasing order. 5, 1, m Let t = -460 - -330. Let z be (-3)/((-30)/58) - t/(-26). Sort -0.1, -1, 0.5, z in descending order. z, 0.5, -0.1, -1 Suppose -4*q + 584*h = 588*h, 0 = q + 2*h + 5. Sort 6, q, -19, 3 in descending order. 6, q, 3, -19 Let w be (14/(-21))/((-5)/(-45)). Let i be w - (4 - (5 - 0)). Put i, -24, 3 in descending order. 3, i, -24 Let c = 0.03136 + 0.06864. Let l = 1 - -1. Let y = 2 + l. Sort c, 2.1, y. c, 2.1, y Let q = 0.7837 + 0.1223. Sort q, -3, 2/19, 0.2 in descending order. q, 0.2, 2/19, -3 Let z(p) = -p**2 + 26*p - 87. Let c be z(23). Let j be (-3)/(33/c - 9/(-27)). Sort -1, j, -24, -3. -24, -3, -1, j Suppose -153*x - 101*x - 890 = 126. Put -11, 0, -5, x, 2 in decreasing order. 2, 0, x, -5, -11 Suppose 2*o + o - 2*i + 1 = 0, -o - 2*i - 11 = 0. Suppose 76 = c + 4*z - 51, z = c - 77. Sort c, o, 0 in increasing order. o, 0, c Suppose 11*b + 108 = 75. Let o(g) = 2*g -
{ "pile_set_name": "DM Mathematics" }
a**2 + 414*a + 414*a - 1235*a in the form t*a**2 + i + m*a and give t. 353 Express (-i - 10*i + i)*(2 + 2 - 3) - 2*i - 6*i + 11 - 16 in the form p + r*i and give p. -5 Rearrange 236*y**2 - 1 + 243*y**2 - 494*y**2 to s*y + g*y**2 + u and give u. -1 Rearrange 7*b**4 - 4 + 2*b**2 - 2*b**3 + 27*b**3 - 8*b**3 - 6*b**4 to c + i*b**2 + r*b**4 + s*b**3 + f*b and give i. 2 Express -6*k**2 - 2*k + 4*k - 4*k - 14*k as d + q*k + a*k**2 and give q. -16 Rearrange -13535*y - 1 + 13527*y - 2 to o + n*y and give n. -8 Rearrange -67*u**2 + 8 - 3*u - 67*u**2 + 4 + 135*u**2 to x + k*u + w*u**2 and give k. -3 Rearrange -6 - 3*n - 8*n**4 + 10*n**3 + 10*n**4 + 2 + 1 - 5*n**4 to the form t*n**2 + y*n**3 + p*n**4 + o*n + d and give y. 10 Express (-3 + 8 - 3)*(-2*q + 4*q - 4*q) + 67*q + 152*q + 160*q as i + d*q and give d. 375 Rearrange (-x - 3*x + x)*(-2 - 2*x + 2)*(-112*x + 59*x + 5 - 130*x) to c*x**3 + p*x + l + b*x**2 and give b. 30 Express 4 - 70*b + 36*b + 33*b + (-1 - 2*b + 1)*(3 - 4 + 3) + b + 0*b - 2*b as p*b + x and give x. 4 Express (117*c + 113*c - 228*c - 108)*(-1 + 3 + 1) in the form r*c + v and give v. -324 Rearrange 4*k - k - 5*k - 3*k + 4*k + k + (6 - 1 - 3)*(2*k - 4*k + 0*k) - 3*k + 3*k + k + 2*k - 4*k + k + 32*k + 3*k + 207*k to the form p*k + d and give p. 238 Express -4*x - x**2 - 112*x**4 + 218*x**4 - 109*x**4 in the form n*x**4 + m*x**2 + h*x**3 + k + t*x and give m. -1 Rearrange -9*q + 28*q - 17*q - 2 to t*q + r and give r. -2 Express (2*x - 2*x - x)*(1 - 2 - 1)*(8 - 49 - 22) as q*x + s and give q. -126 Express 2 + 30*x - 15*x**2 + 97*x**2 + 1 - 30*x in the form d*x**2 + f + h*x and give d. 82 Express (p - 3*p + 0*p)*(0 - 1 + 0) + (3 - 6 + 2)*(9*p + 104 - 104) - 1 - 2*p + 1 + (2 - 3 + 3)*(-3*p - 4*p + 6*p) in the form x + d*p and give d. -11 Rearrange -248*t + 6 - 9 + 3 to the form v*t + y and give v. -248 Rearrange (-23 - 46 - 32)*(-v - 3*v + 3*v) to h*v + j and give h. 101 Express -2*u**3 - 6*u**3 - 81 + 2*u**3 - 2*u**4 + 39 + 19 as n*u**2 + h + a*u**3 + q*u**4 + x*u and give q. -2 Rearrange -205 + 417 - 214 - 5*p**2 + 2*p**3 to the form n + o*p + t*p**3 + g*p**2 and give n. -2 Express -3*y**2 + 2*y**2 + 0*y**2 + (3*y - 13*y - 5*y)*(-y - 4*y + 2 - y) as j + x*y + g*y**2 and give g. 89 Express -73*q + 3*q**2 + 3 - 3 + 151*q - 78*q**3 - 79*q in the form o*q**3 + h*q + p*q**2 + r and give h. -1 Express (-2 + 6 - 2)*(-4 + 8 + 9)*(-4*c**2 - 4*c**2 + 0*c**2) as q*c + n*c**2 + f and give q. 0 Rearrange (8*j + 10*j - 22*j)*(3*j**3 + 3*j**3 + j**3) + 3*j**4 - 3*j**4 + j**4 to p*j**3 + b*j**2 + h + v*j + a*j**4 and give a. -27 Rearrange (3*n**2 - 4*n**2 + 0*n**2)*(0*n + 2*n - 92*n**2 - 2*n)*(3 - 5 + 0) to m*n + r*n**4 + f*n**2 + y + i*n**3 and give r. -184 Rearrange (-2*x**2 + x**2 + 44*x - 40*x)*(9 + 0 + 0) to the form u*x + p + t*x**2 and give p. 0 Express 22 + 15*m**4 + 0*m**2 - 4*m**4 - m**2 - 10*m**4 in the form x*m**3 + r + n*m**2 + z*m**4 + u*m and give z. 1 Express 23 + 8*y - 6 + 34 + 0*y as w*y + x and give x. 51 Express -4*n + 6*n - n + 0*n + 300 - 2*n in the form j + q*n and give j. 300 Express 5 - 74*v**4 + 1 - 7 + 4*v**3 - 2*v - 2*v**3 + 0 as h*v**4 + d*v + s*v**2 + f + m*v**3 and give m. 2 Rearrange -48*l**4 - 2*l + 19*l**2 + 43*l**4 - 11*l**2 to j*l + g*l**3 + n*l**2 + z + x*l**4 and give n. 8 Rearrange -48*m + 280*m + 142*m to the form w + k*m and give k. 374 Express -2*z**3 - 22*z + 2*z**4 - 116 - 4*z**2 + 114 + 3*z**2 as k*z**4 + p*z**3 + l*z + x + s*z**2 and give p. -2 Rearrange (-3*u + 28*u - 52*u)*(11 - 7 + 8)*(-1 + 3 - 6) to the form z*u + i and give z. 1296 Express (3 - 2*o**2 - 3)*(o - 3*o + o) + (257*o**3 + 333*o - 333*o)*(0 + 2 - 3) - 3*o**3 - o**3 + 5*o**3 as m*o**3 + l*o**2 + q + k*o and give m. -254 Rearrange -x - x + 4*x - 4*x + 2*x + x + (-6 + 2 + 3)*(0*x + 2*x + 0*x) + 175*x + 70*x + 22*x + 2*x + 0*x + 0*x to o*x + u and give o. 268 Express (4*r + 14*r - 10*r)*(16*r + 1 - 3*r**2 - 16*r) + (5*r**2 + 2*r - 2*r)*(1 - 1 - 2*r) in the form q*r + b*r**3 + j + f*r**2 and give b. -34 Express (9 + 15 - 1)*(0 + 2 - 1)*(-q - 2*q + 4*q) - 2 + 2 + q as i + m*q and give m. 24 Rearrange (-85 - 26 + 23)*(-6*d + 3*d + 4*d) + 2*d - 4*d + d + (0 + 5 - 3)*(6*d - 3*d - 2*d + 2) to y*d + n and give n. 4 Express (-5*m + 4*m + 2 - m)*(-89*m + 118*m - 56*m) in the form a*m**2 + u + n*m and give n. -54 Rearrange -3*l + 4*l + l - 4 + 8*l + 4 + (0*l + 2*l + 0*l)*(1 - 1 - 2) - 5*l + 2*l + 5*l + 3 to the form t*l + a and give a. 3 Express (4*b - 4*b + 2*b)*(0 - 2 + 0 + (-2 + 6 - 2)*(3 - 4 + 0) + 20 + 5 - 13)*(-2*b**2 + 0 + 0) as o*b**2 + l + d*b**3 + c*b and give d. -32 Express -128*r**2 + 190*r**2 + 448*r**2 - 160*r**2 + 351*r**2 - 1 in the form t*r**2 + v + d*r and give d. 0 Express -26*o**4 + 20*o**4 - 3 + 62*o**4 + 2*o**2 as k + s*o**2 + a*o + z*o**4 + c*o**3 and give s. 2 Rearrange 3*j + 0*j - 32*j**2 - 6*j + 5*j to g + r*j + s*j**2 and give r. 2 Rearrange 196*v**3 - 5*v - 32*v**3 + 349*v**3 + 4*v to c + z*v**3 + q*v + t*v**2 and give q. -1 Express -4*y - 9*y + y + 3 - 6*y in the form g*y + u and give g. -18 Rearrange -36*s**2 - 3 - 5 + 9 to z + l*s**2 + x*s and give z. 1 Rearrange (189*u**2 + 114*u**2 - 63*u**2 - 2*u**2)*(0 + 0 + 2*u**2) to the form w*u**2 + n*u**4 + z*u + o*u**3 + t and give n. 476 Express 0*y - 12*y**2 + 44*y**2 + 4*y - 33*y**2 + 2*y**4 - 16 in the form i*y**2 + v*y**3 + g*y**4 + t*y + b and give i. -1 Express 0 + 0 - w + (2 - 3 + 3)*(-5*w - w + 4*w) + (-2*w + 0*w + 5*w)*(-19 + 44 + 19) as n + f*w and give f. 127 Express 0*o - 44*o**2 + 1 + 140*o**2 - 1 + o in the form k + y*o + l*o**2 and give y. 1 Rearrange (-25*z - 156*z - 105*z)*(5*z**2 + 11*z - 11*z) to d*z**3 + r*z + q*z**2 + u and give d. -1430 Express 181*t - 70*t - 75*t in the form b*t + n and give b. 36 Express (-p**3 + p**3 + 3*p**3)*(-27 + 19 - 35)*(3 - 5 - 2)*(2 + 0 - 1) as o*p + a*p**2 + c + z*p**3 and give z. 516 Rearrange 51*f - 101*f - 1 + 59*f - 2 to s*f + u and give u. -3 Rearrange -43*w**4 - 3 + 3*w**3 + 69*w**4 + w + 4 - 2*w**2 to j*w**4 + g + y*w + r*w**2 + a*w**3 and give a. 3 Rearrange -2 - 8*t + 20 - 3 - 16 - 12*t to b + n*t and give b. -1 Rearrange -130*n - 18 + 7 + 11 + 419*n to w + u*n and give u. 289 Rearrange (-14 - 2145*u + 1956*u + 13)*(0*u**3 + 2*u**3 - u**3) to j*u + w*u**2 + y*u**4 + z + g*u**3 and give g. -1 Rearrange (-477 + 11*q + 485 + 11*q)*(2*q - 2*q - 3*q**2) to l*q**2 + b*q**3 + i + m*q and give i. 0 Express 2*f**3 - 20*f**2 + 71*f**2 - 37821*f + 37821*f - 3 as u*f**3 + v*f**2 + a + q*f and give q. 0 Express 2*b**3 + 2*b**3 - 2*b**3 + (-7 + 3 + 2)*(2*b**2 - 2*b**2 - b**3) + (-690 + 26*b + 690)*(-b**2 + 1 - 1) as l + g*b**3 + w*b + z*b**2 and give g. -22 Express v**4 + 0*v**2 + 5*v - 8*v**2 - 2 + 9*v**2 as y + r*v**3 + k*v**2 + o*v**4 + z*v and give z. 5 Rearrange -4 + 4 + v - 4*v - 2*v + 4*v + (6 - 6 - 7*v)*(-1 + 4 - 2) + 3*v - 3*v + 2*v to the form r + l*v and give l. -6 Rearrange (-3*b**3 + 3*b**3 - 2*b**3)*(61 - 28 - 37)*((-2 + 2 - 2)*(b + 0*b + 0*b) + 0*b + b + 0*b) to o*b**4 + m*b**2 + y*b + g + l*b**3 and give o. -8 Express 13*g**3 + 0*g**3 + 3*g**3 + (-3*g**3 + 0*g**3 + g**3)*(53 - 118 + 50) in the form z*g + k*g**2 + a + u*g**3 and give u. 46 Express 8 - 8 + 25*f + 29*f as n + o*f and give n. 0 Rearrange (3 + 4 - 6)*(0*a**4 + a**4 + a**4) - 142*a + 317*a**4 + 142*a to g*a**2 + c*a**3 + z + u*a**4 + i*a and give u. 319 Express (-31 - n + 31)*(-13*n + 26*n + 49*n) + 2*n**2 + 2*n**2 - 5*n**2 as c*n + u*n**2 + s and give u. -63 Rearrange 8*f - 131 - 6*f - 4 - f to the form k*f + o and give k. 1 Rearrange -5*x - 4*x + 321 - 331 to o + i*x and give o. -10 Express (-g + 2*g - 2*g + (2*g - 3*g + 0*g)*(2 + 1 + 0) + 113*g - 53075 + 53075)*(5*g**2 - 2*g**2 - g**2) as d + t*g**2 + s*g + y*g**3 and give y. 218 Express 1 - 469*a + 246*a + 239*a + a**2 - 21*a**3 as k*a + z*a**2 + i*a**3 + m and give z. 1 Express -35*y + 2*y**2 - 33*y + 0*y**2 + 62*y as c*y**2 + t*y + g and give c. 2 Rearrange (2 + 2 + 94*v - 97*v)*(-21 + 21 + 36*v - 2*v - 2*v + 2*v + (3*v - v - v)*(0 + 1 - 2)) to the form c*v + s*v**2 + x and give c. 132 Rearrange (1714*r**2 + 9936 - 9936)*(4 + r**2 - 4) to the form k*r**2 + b + v*r**4 + x*r + m*r**3 and give v. 1714 Express -2*a**3 + a**3 - a**3 + (-a - a - 2*a)*(6 - 6 + 3*a**2) as o*a + f*a**3 + p*a**2 + h and give f.
{ "pile_set_name": "DM Mathematics" }
+ m*i + b*i**2 and give v. -3584 Express (4 - 6 + 4)*(0 - 1 + 3)*(-12 + 25 - 5)*(x**2 + 0 + 0) as y*x**2 + u + i*x and give y. 32 Express (89*v**3 - 22*v**3 - 43*v**3 + 89*v**3 + 26*v**3)*(-v + 0 + 0) in the form k + m*v**2 + s*v + n*v**3 + x*v**4 and give n. 0 Rearrange 7*a - a**3 - 3*a + 22*a**2 - 3 + 5*a - 8*a + 2*a**3 to the form j*a + x + h*a**3 + r*a**2 and give x. -3 Rearrange (-5 - 1 + 5 - 6)*(-41*v**3 - 21*v**3 - 39*v**3) to t*v**2 + y*v**3 + a + s*v and give y. 707 Express -235*n**2 + 234*n**2 + 2*n**3 + 80*n - 25*n as d*n + r + j*n**3 + y*n**2 and give j. 2 Express (5 + 5 - 73)*(0 - 11*p + 0) as g + l*p and give l. 693 Rearrange (4 - 4 + 2)*(5 - 5 + 6*u)*(-4 + 9 - 4) to g + n*u and give n. 12 Express (-3*x**2 - 10 + 10)*(-1 - 2 + 1) - 10*x**2 + 2*x**2 - 28*x**2 in the form v*x**2 + w*x + r and give v. -30 Rearrange -2 + 0 - w - 37*w**4 + 0*w + 75*w**4 to the form c*w**2 + q*w**3 + x*w**4 + o + v*w and give x. 38 Express (-i**2 + 4*i**2 + 7*i**2 + 23*i**2)*(-316 + 316 - i) in the form j*i**2 + d*i + q*i**3 + g and give q. -33 Rearrange -12*s - s**2 + 12*s**4 + 10*s**4 + 15*s**4 - 38*s**4 + s**3 to m*s**3 + v*s + w*s**2 + q + y*s**4 and give m. 1 Rearrange -50*f**2 + 6 + 11*f - 4 - 11*f to q*f + j + a*f**2 and give a. -50 Express (-16 - 38 + 16)*(-2*t + t - 2*t) + (-5 + 1 + 2)*(-t - 3*t + 3*t) + (2 + 0 + 0)*(0*t - 4*t + 0*t) as k + m*t and give m. 108 Rearrange 2*a**3 + 0*a**3 - 10261*a**4 + 10260*a**4 - 16*a - 5*a**2 to b + w*a**4 + o*a**2 + g*a**3 + n*a and give g. 2 Express (60 - 12 + 14)*(r - 7*r + r) in the form d + q*r and give q. -310 Express -13 + 2*i**2 + 167*i + 4 - 3 - 160*i in the form s*i + c + q*i**2 and give s. 7 Express -208*v - 104*v + 1 - 1 + 165*v in the form s*v + k and give s. -147 Rearrange 2*s**3 + 15 + 249 + 10*s**2 - 8*s**2 - 3*s**2 to the form q*s**2 + a*s + u + m*s**3 and give u. 264 Express -6*y**3 - 1 + 11*y**2 - 5*y**3 + 10*y**3 - 4*y**4 - y + 3*y**4 in the form w*y**2 + f*y + o*y**3 + s + d*y**4 and give f. -1 Rearrange -25 - 77*n**2 - 2*n**3 - 220 + 79*n**2 to the form x*n + w + p*n**2 + k*n**3 and give k. -2 Rearrange 2 + n - 2 + (-13 + 4 + 6)*(62 + 44*n - 62) to b*n + p and give b. -131 Express -7*m**2 - 1 + 57*m**2 + 4*m**2 as q + v*m + o*m**2 and give o. 54 Rearrange 0*o**2 + 0*o**2 + 2*o**2 + (0*o - 2*o - 2*o)*(2*o - 3*o + 4*o) - 18*o**2 + 9*o**2 - 3*o**2 to the form c*o + y + f*o**2 and give c. 0 Rearrange 173*t**2 + 2 - 8 + 6 + 50*t**2 to the form o*t + d*t**2 + v and give d. 223 Rearrange -1355*q + 221 + 2*q**2 + 1355*q to the form k*q + u + s*q**2 and give s. 2 Express (8*t - 8*t + 7*t)*(t + 5*t + 2 - 5*t) as a*t + u*t**2 + c and give a. 14 Rearrange (2*w - 2*w - 2*w)*(1 - 2 + 3) + 19*w + 102 - 102 + (3 - 3 - 2)*(5 + 5*w - 5) to the form o + j*w and give j. 5 Express -w - 3*w - 25*w - 142*w**4 - w**2 - 5 + 144*w**4 + 2 in the form u*w**2 + j*w**4 + x*w**3 + p + a*w and give u. -1 Express 2 - 5*n - 3*n**3 - 360*n**2 + 2*n**3 + 364*n**2 - 2*n**4 + 5*n as x*n**4 + y*n**3 + l + p*n**2 + b*n and give p. 4 Express 13*i - 394*i - 19*i as k*i + u and give u. 0 Rearrange 23*x - 6*x + 3*x + (2 - 3 + 4)*(-x + 3*x + 0*x) to q*x + g and give q. 26 Express 14*u**2 + 0*u**3 - 8*u**2 + 3*u**2 - 7*u**2 + 3*u**3 in the form z*u + t*u**3 + g*u**2 + i and give g. 2 Rearrange 54*o**2 + 2 - 185*o**2 - 140*o**2 + (4*o + 0*o - 6*o)*(-2*o + 0*o + 0*o) to a + t*o**2 + h*o and give t. -267 Express 393*d**3 + 14*d**4 + 13*d - 393*d**3 + 17*d**4 + 7*d + d**2 in the form x*d**4 + v*d + l*d**3 + o*d**2 + s and give v. 20 Express (-3*l + 4*l**2 + 3*l)*(3 + 0 - 1) + 5*l**2 + 0*l**2 - 2*l**2 + (12*l**2 + 9*l**2 - 9*l**2)*(1 + 0 - 3) in the form p + b*l + y*l**2 and give y. -13 Express (0 + 1 - 3 + (-38 - 103 - 21)*(-4 + 3 + 2))*(-x**3 + 2*x**3 - 2*x**2 + 3*x**2) in the form n + h*x**2 + o*x**3 + r*x and give h. -164 Rearrange 5*b - 53 - 3*b**2 + 23*b + 25 + 28 to the form f*b**2 + v*b + u and give f. -3 Express 339671*z - 573*z**2 - 339671*z in the form m*z**2 + j + x*z and give m. -573 Rearrange 21069 - 695*z**2 - 10530 - 10539 to the form m + a*z**2 + y*z and give a. -695 Express -8*t + 9*t**2 + 8*t**2 - 3*t**2 as o + n*t**2 + q*t and give n. 14 Express 197 - 428 + 2*o + 731 in the form n + u*o and give u. 2 Rearrange (c**2 - 4*c**2 + c**2)*(9241*c**2 + 344 - 254 - 90) to the form r*c**4 + x*c**3 + h*c + o + f*c**2 and give r. -18482 Express 30*h - 2*h**2 - 2 - 54*h + 31*h in the form i + x*h**2 + z*h and give z. 7 Express (-3*z + 5*z - 3 + 2)*(-51*z - 90*z - 2*z**2 + 1274 - 1269) as k*z + b*z**3 + a + i*z**2 and give b. -4 Rearrange (-28 - 288 - 55 + 77)*(4 + 2*g - 4) to j + d*g and give d. -588 Rearrange 2*d - 876 + 876 + 447*d**2 - d to y*d + p*d**2 + t and give y. 1 Express (j**2 - 2*j**3 - j**2)*(3*j + 3*j - 7*j)*(9 - 20 - 33) in the form p*j**4 + i*j + w*j**3 + m + z*j**2 and give p. -88 Express 45*z - 75*z + 52 - 688 + 29*z in the form g*z + q and give q. -636 Express 2421*n - 13*n + 5 + 82*n - 5 in the form g + z*n and give z. 2490 Rearrange (-36 + 18 - 34)*(3*k - 3*k - 6*k)*(-2*k + 2*k**2 + 2*k) to the form p + b*k + u*k**2 + i*k**3 and give i. 624 Rearrange -3*j**3 - 3679*j**2 + 5 + 3672*j**2 - 5 to c*j + t*j**3 + f + u*j**2 and give t. -3 Rearrange -4*x**4 - 3 - 3*x - 6*x**2 + x**3 + 5*x**2 + 5*x**4 to v*x**2 + o*x**3 + l + j*x**4 + s*x and give j. 1 Rearrange 5*h**2 - 20 + 4 + 7 - h**3 + 0*h**4 + h**4 to the form u*h**3 + p*h**2 + t*h + a + s*h**4 and give s. 1 Rearrange (2 - 2 + 2)*(0 + 0 - 1)*(i - 3 + 2 + 0) - 322*i + 136233 - 136233 to z*i + w and give w. 2 Rearrange (6*q - 2*q - 2*q + 2)*(-32*q + 19*q - 66*q)*(2 + 0 - 1)*(0 + 0 + 2) to s*q + f + w*q**2 and give w. -316 Express (200*s + 446*s - 194*s)*(-s + s + s) as h*s + z*s**2 + p and give p. 0 Express (-40 - 19 + 7 - 2)*(3*a - 3*a - a) in the form u + i*a and give i. 54 Rearrange -7*h - 28*h + 127*h to a + i*h and give a. 0 Rearrange (-2*z**3 + 6*z**3 - 3*z**3)*(-4 + 2*z + 4) - 72*z**4 + 237*z**4 + 215*z**4 to l*z + w*z**3 + p + q*z**4 + r*z**2 and give q. 382 Rearrange 37 + 36 - 110 + 55*m + 39 + m to the form y + a*m and give y. 2 Rearrange 14*m**2 + m**2 - 9*m**2 - 29*m to k*m**2 + j + l*m and give k. 6 Rearrange 1212*r + 2*r**2 - 6*r**3 + r**2 + 2*r**2 - 1211*r to b + y*r**2 + u*r**3 + f*r and give u. -6 Express (8 - 8 + 20*c)*(4 - 5 - 2)*(5 - 1 - 5)*(-2 + 1 + 3) in the form r + z*c and give z. 120 Rearrange -1024*g + 1 - 1106*g + 1568*g + (2*g - 5*g + g)*(5 + 3 - 5) to the form t + i*g and give t. 1 Express -16*p**4 + 34*p**2 - 34*p**2 + (3*p - 5*p + p)*(0 - 4 + 2)*(1 - 3*p**3 - 1) in the form v*p**4 + b*p**2 + u*p**3 + x + k*p and give v. -22 Express 34*i + 32*i**3 - 60*i**3 - 3 + 27*i**3 + 86*i - 3*i**2 + 4*i**2 as q + w*i + v*i**2 + n*i**3 and give w. 120 Express -24*y**2 - 20*y + 24*y**2 - y**3 - 28*y - 1 as h*y + l + r*y**3 + k*y**2 and give h. -48 Rearrange v**4 - 6*v**3 + 8*v**2 + 3*v**3 - 2*v - 5*v**3 + 10*v**3 + 4 to the form x*v + l + g*v**4 + m*v**2 + p*v**3 and give p. 2 Express 19*i - i - 204 + 17*i**2 + 420 - 216 in the form h*i**2 + n + m*i and give h. 17 Express (0*h + h + h)*(-4*h + 0*h - 2*h - 3 + 3 + h + (5 - 5 + 2*h)*(4 + 3 - 5) + 4 - 4 + 6*h) as r*h + m*h**2 + l and give m. 10 Express -u**2 + 2*u**4 + 3*u + 0*u**4 + 2 - u**4 in the form y*u + v*u**4 + x + p*u**2 + a*u**3 and give v. 1 Express (-k + 0*k + 0*k)*(-6 + 5 - 16)*(-22 + 22 - 3*k)*(5*k - k - k) in the form s*k**3 + r*k + q*k**2 + u and give s. -153 Rearrange (-42 + 69 + 119 + 102 + 293)*(-8*q - 8*q + 6*q) to a*q + h and give a. -5410 Rearrange 61 - 61 + 21*g + (-4*g - 3*g + 0*g)*(0 + 4 - 2) to n*g + r and give n. 7 Rearrange (2*m - 2*m - 2*m + (-3*m + 0*m + 2*m)*(-1 - 2 + 1) + 4*m - m - 2*m)*(1 - 4*m - 1) - 2*m + 2*m - 2*m**2 to b*m**2 + l*m + h and give b. -6 Express 49 - 2*f**2 - f**2 - 6 + 2*f**2 + f - 2*f in the form p + t*f**2 + l*f and give t. -1 Express -25*v**3 - 29*v**3 + 12*v**3 + (v**2 - 1 + 1)*(-4*v + 3*v - v) + (0*v + 0*v - 2*v**3)*(1 + 4 + 1) in the form m*v**2 + u*v**3 + z + j*v and give u. -56 Rearrange ((3*z + 0*z - 2*z)*(2 - 4 + 3) + 2*z + 2*z - 3*z)*(-8 - 7 + 8) to s*z + j and give s. -14 Express (-4 - 2 + 1)*(0*a - 5*a + a) + 1 - 15*a + 116*a - 1 in the form u*a + x and give u. 121 Express 59*p**2 + 62*p**2 + 148*p**2 + 69*p**2 + 26*p**2 as s*p**2
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from wppwpjopjljww. What is prob of sequence polw? 2/2145 Calculate prob of sequence qff when three letters picked without replacement from ttfttquqfqqttf. 1/91 What is prob of sequence rjz when three letters picked without replacement from zrzj? 1/12 Calculate prob of sequence bn when two letters picked without replacement from {l: 4, a: 2, n: 3, b: 1, d: 2}. 1/44 Two letters picked without replacement from fxfx. What is prob of sequence ff? 1/6 Two letters picked without replacement from ciirr. Give prob of sequence ci. 1/10 Calculate prob of sequence pp when two letters picked without replacement from pjjpppppp. 7/12 Three letters picked without replacement from {k: 1, h: 8, a: 2, q: 1, o: 4}. What is prob of sequence haa? 1/210 What is prob of sequence vx when two letters picked without replacement from {x: 2, l: 2, q: 3, f: 3, k: 1, v: 1}? 1/66 Calculate prob of sequence oo when two letters picked without replacement from poqooqppoqqoo. 5/26 Two letters picked without replacement from vsvksgwsgssvgs. What is prob of sequence kw? 1/182 Three letters picked without replacement from gvvdd. Give prob of sequence gvv. 1/30 What is prob of sequence ada when three letters picked without replacement from {a: 2, d: 2, k: 1}? 1/15 What is prob of sequence pp when two letters picked without replacement from cuvcuuppeecupuupp? 5/68 Four letters picked without replacement from {t: 1, a: 3, i: 11}. What is prob of sequence aati? 11/5460 Four letters picked without replacement from {d: 1, m: 2, t: 2, l: 1, z: 1}. What is prob of sequence ttmz? 1/210 What is prob of sequence lxz when three letters picked without replacement from lnnncxnexxzccxeeexel? 1/684 Calculate prob of sequence pp when two letters picked without replacement from {s: 2, p: 9}. 36/55 Three letters picked without replacement from {r: 2, p: 3, y: 6, d: 2, t: 5}. Give prob of sequence dpr. 1/408 Two letters picked without replacement from {t: 5, e: 1, m: 4}. What is prob of sequence te? 1/18 Three letters picked without replacement from yynn. What is prob of sequence yyn? 1/6 Three letters picked without replacement from {s: 2, e: 4, b: 4, d: 4, q: 3, u: 3}. What is prob of sequence ubd? 2/285 Four letters picked without replacement from pbefehhhfppne. What is prob of sequence pnff? 1/2860 Two letters picked without replacement from {j: 17, t: 1}. Give prob of sequence tj. 1/18 Calculate prob of sequence ummm when four letters picked without replacement from gmmummdudmugmmgm. 3/130 Three letters picked without replacement from sysyysqtqsat. What is prob of sequence yya? 1/220 Four letters picked without replacement from srsrrrrrr. Give prob of sequence rrrs. 5/36 What is prob of sequence ffff when four letters picked without replacement from fffffffff? 1 Calculate prob of sequence hx when two letters picked without replacement from {p: 1, h: 1, t: 2, x: 1}. 1/20 Three letters picked without replacement from bbggbsbvgvsssg. Give prob of sequence ggb. 2/91 What is prob of sequence oc when two letters picked without replacement from {c: 5, o: 3, k: 1, n: 1}? 1/6 Calculate prob of sequence tf when two letters picked without replacement from {t: 2, f: 5, l: 5}. 5/66 Three letters picked without replacement from ttfcq. What is prob of sequence qct? 1/30 Three letters picked without replacement from rkokrrkzzqt. What is prob of sequence zkk? 2/165 Two letters picked without replacement from {b: 2, t: 1, o: 1, s: 10}. What is prob of sequence tb? 1/91 What is prob of sequence cts when three letters picked without replacement from {s: 4, c: 3, t: 4}? 8/165 What is prob of sequence cu when two letters picked without replacement from sxupc? 1/20 What is prob of sequence pp when two letters picked without replacement from ahhaappphahah? 1/26 What is prob of sequence cwc when three letters picked without replacement from {w: 5, c: 11, t: 1}? 55/408 Two letters picked without replacement from bihhhixiii. Give prob of sequence hh. 1/15 Four letters picked without replacement from {e: 9}. Give prob of sequence eeee. 1 Four letters picked without replacement from {m: 1, n: 1, o: 1, w: 5, l: 2}. Give prob of sequence wwno. 1/252 What is prob of sequence aa when two letters picked without replacement from {f: 3, a: 1, c: 1}? 0 Four letters picked without replacement from {k: 1, t: 3, v: 6, i: 1, g: 4}. What is prob of sequence tgkg? 1/910 Two letters picked without replacement from jjyjfyzjjyyzjjyyy. What is prob of sequence jj? 21/136 Four letters picked without replacement from cmsmddssmmpsd. What is prob of sequence scmm? 2/715 Two letters picked without replacement from {x: 3, c: 1, e: 1, y: 3, j: 2, g: 1}. What is prob of sequence cy? 3/110 What is prob of sequence lfl when three letters picked without replacement from {l: 7, f: 1}? 1/8 Three letters picked without replacement from rrsqsrs. Give prob of sequence ssr. 3/35 Three letters picked without replacement from teytvqpvvte. What is prob of sequence ttp? 1/165 Four letters picked without replacement from uucoottkozzztuzzt. Give prob of sequence cktz. 1/2856 Four letters picked without replacement from hpphhhiipppipii. Give prob of sequence ipii. 1/91 Calculate prob of sequence fyy when three letters picked without replacement from {f: 2, r: 2, y: 2, v: 3}. 1/126 Four letters picked without replacement from trrtrrr. What is prob of sequence rttr? 1/21 Calculate prob of sequence nooh when four letters picked without replacement from {h: 4, n: 5, s: 4, o: 3}. 1/364 What is prob of sequence jy when two letters picked without replacement from {k: 3, y: 2, j: 1, f: 1, c: 1, o: 3}? 1/55 Four letters picked without replacement from qcqqqqqqzvqzvzczqqqq. What is prob of sequence cvzq? 8/4845 Three letters picked without replacement from vbvbvbbvvbbbbvvvvvb. Give prob of sequence vbb. 40/323 Two letters picked without replacement from {b: 4, v: 1, j: 1, t: 7, p: 2}. What is prob of sequence bj? 2/105 Calculate prob of sequence rr when two letters picked without replacement from {t: 2, m: 6, y: 4, b: 2, r: 2, g: 1}. 1/136 Two letters picked without replacement from {t: 3, z: 7, o: 1, s: 5, p: 3}. Give prob of sequence ss. 10/171 What is prob of sequence yy when two letters picked without replacement from {g: 1, y: 2, a: 11}? 1/91 Two letters picked without replacement from uemdl. Give prob of sequence lu. 1/20 What is prob of sequence yyll when four letters picked without replacement from fyyyyyoyyoylofyoolo? 1/646 Three letters picked without replacement from {z: 2, y: 8}. Give prob of sequence zzy. 1/45 What is prob of sequence koa when three letters picked without replacement from {a: 1, v: 3, o: 1, x: 2, k: 8, s: 1}? 1/420 What is prob of sequence vme when three letters picked without replacement from erccmrccccvvccecer? 1/816 Two letters picked without replacement from ezx. Give prob of sequence ex. 1/6 Three letters picked without replacement from mbmflmymmlbfbblmyb. What is prob of sequence fby? 5/1224 Three letters picked without replacement from iippvviqugvqqg. What is prob of sequence qgi? 3/364 Two letters picked without replacement from {c: 1, z: 3, m: 2, r: 5, k: 6}. Give prob of sequence rc. 5/272 Three letters picked without replacement from oononoqioqcocnooicn. Give prob of sequence ini. 4/2907 What is prob of sequence tr when two letters picked without replacement from {t: 2, r: 5}? 5/21 Two letters picked without replacement from uuuzuuuzbzuzzuuzu. What is prob of sequence bz? 3/136 Calculate prob of sequence nn when two letters picked without replacement from nnii. 1/6 Three letters picked without replacement from cbccccbcc. What is prob of sequence ccc? 5/12 Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjj. 1 Four letters picked without replacement from {z: 6}. Give prob of sequence zzzz. 1 Calculate prob of sequence ittt when four letters picked without replacement from tttittitttitttt. 11/91 Two letters picked without replacement from {p: 1, x: 1, u: 11, v: 2, l: 1}. What is prob of sequence vv? 1/120 Three letters picked without replacement from jfmfmokd. What is prob of sequence fmd? 1/84 Calculate prob of sequence oomi when four letters picked withou
{ "pile_set_name": "DM Mathematics" }
t to -3? (a) -0.2 (b) -0.3 (c) w b Let p = 40.94 + -41.94. What is the closest to p in -2/31, -2/21, -5? -2/21 Let d = -0.02 + -5.98. Let h = d + 5.7. Suppose -276 = -102*s - 786. Which is the closest to -1? (a) s (b) h (c) 9/7 b Let p be (2/(-10))/((-7)/(-21)). Let j = -33 - -11. Let m = -21.6 - j. Which is the closest to m? (a) -1/2 (b) 0.1 (c) p b Let k = -3 - -13/4. Let l = -3085/9 - -343. What is the nearest to k in -3/5, -5, l? l Suppose 8*d - 2*p + 2 = 12*d, -2*p = d - 2. Let s = 239/623 + 4/89. What is the nearest to d in -0.4, 11, s? -0.4 Let l = 2 + -6. Let w = -0.50582 + 0.40582. Which is the nearest to w? (a) l (b) -0.3 (c) -8 b Let o = 156 + -155.887. Let z = o + 2.887. Let f = 0.8 + -5.8. Which is the closest to 0.02? (a) -4 (b) f (c) z c Suppose -p = -2*p - 3*p. Suppose 6*j - 5*j = p. Which is the closest to 0.1? (a) j (b) -2 (c) 3 a Let w(j) = -4*j**2 - 74*j - 34. Let t be w(-18). Let p = -11.8 - -5.8. What is the nearest to p in 3, t, 1/3, 1/5? 1/5 Let d = 0.1 + -1.1. Suppose -3*t + 1359 = 2*l + 2*t, 1991 = 3*l - 2*t. Let f = 664 - l. What is the nearest to 1 in -0.3, d, f? -0.3 Let k = 0.256 + -0.266. Let x = 3.76 - 3.56. Let p = -2 - 2. What is the nearest to x in k, 2/7, p? 2/7 Let n = 23 - 15. Suppose 0 = 2*j + 2*s + n, 7*j - s = 4*j + 4. Which is the nearest to j? (a) -4 (b) 0 (c) -4/11 b Let g = -87.7 + -66. Let u = 154 + g. Let z be (-38)/90 - (-2)/10. Which is the closest to u? (a) 3 (b) z (c) 1 b Let p = -785/2788 + 22/697. What is the nearest to -2 in 2/5, -1, -2, p? -2 Let k = -680 - -10219/15. Let f = -283/255 + k. Let m = -58/153 + f. Which is the closest to -1/4? (a) 15 (b) -2/7 (c) m c Let w = 12 + -14. Let i = 1899 - 1900. What is the nearest to i in 4, 0.04, w? w Let f = 0.6802 + -0.8102. Let t = -5.03 + 0.03. Let g = -11 + 12. What is the nearest to -3 in g, f, t? t Let b(o) = 2*o**2 - 48*o - 225. Let x be b(28). Suppose 5*j - 45 = 5*s, 2*j - 3 = -0*j + 5*s. Let a be (1/j)/(5 - 6). What is the nearest to 2/9 in 2/19, a, x? 2/19 Let n = 3.03 - 1.03. Let j = -13 + 14. Let x(s) = -s**2 - 1. Let g be x(j). Which is the nearest to -1/4? (a) g (b) n (c) 0 c Let x = -22/413 + -359/16520. Which is the nearest to x? (a) -4 (b) 4 (c) -6 a Let i be (4/(-16))/(24/(-32)). Let d = 176/1079 + 12/83. What is the nearest to d in 0.2, 2/7, i? 2/7 Let m = -4792 - -38335/8. Which is the nearest to m? (a) 2/5 (b) -0.1 (c) -3/5 b Let c = -4 - -3.6. Let r = -555 - -552. Let t = -7 + 2. What is the closest to 0.4 in c, t, r? c Let m = -5767/4 - -1442. What is the closest to m in 1, -15/8, 0.2? 0.2 Let w = 1009.07 + -1004.9. Which is the nearest to w? (a) 0.3 (b) -2 (c) 0.2 a Suppose 1 = -5*o + 4*v, 0*o = -2*o + 2*v - 2. Let d = -12779/31948 - 1/159740. What is the closest to o in -2/7, d, 1? 1 Let n = 0.2357 - 3.0377. Let o = -0.198 + n. Let p = 1 + -0.8. What is the closest to 0 in o, p, 0? 0 Let b = -10.4339 + 9.4339. Let c be 0 - ((-34)/(-22) + -1). What is the closest to b in -3, -5/3, c? c Let d = 95.06 + -95. Let f = d - -0.24. Let x = 6 - 2. What is the closest to -1 in f, -2/7, x? -2/7 Let b = -0.73 - 5.37. Let y = b - -6.5. What is the closest to 2/5 in -5, -2/7, y? y Let c = 25 + -24.6. Let v = 27 + -21. Suppose 29 = v*w + 89. What is the closest to w in c, 2, -4? -4 Let x = -3324.4 + 3324. Let q = -5 + 5. Let n = -0.5 - q. Which is the nearest to 2/5? (a) 0.3 (b) n (c) x a Let x = -316/7 + 976/21. What is the closest to 1 in 10/19, x, -4? x Let z be (-74)/192 - ((-16)/6 - -2). Let h = z - 53/416. Which is the nearest to 0.08? (a) 1/5 (b) 0 (c) h c Let k = -0.4 + 0. Let v be (361/57 - 8 - (-69)/36)*2. What is the nearest to 1/2 in v, k, -2/9, 1? v Let t = 3.115 + -3.415. What is the closest to 0.2 in t, -2/9, -8? -2/9 Let d = -260710 - -260709. Let r = -41 - -19. Which is the closest to -0.1? (a) d (b) r (c) 3/4 c Let k = 649.3 + -649. Let g(z) = 23*z - 4. Let o be g(-1). Let w be ((-6)/9*o/12)/(-1). Which is the closest to -4? (a) -0.2 (b) w (c) k b Let j = 146.56 - 190.56. What is the closest to j in -1/11, -1, -3? -3 Suppose 0 = -0*r + r - 3. Let z = 22662.8 - 22663. What is the closest to z in -0.4, -1/7, r? -1/7 Let o = 2.72 + 0.28. What is the nearest to -3/4 in 0.1, 0.8, o? 0.1 Let h be 13/52 + 23/4. Let t = -84/167 - -1/334. Suppose 4*s + 1 = 9. Which is the nearest to h? (a) -2/9 (b) t (c) s c Suppose -3*l = -5*y + 16 - 86, -2*l + 3*y + 47 = 0. Suppose -o - 3*h = -4*h + 10, 4*o = h - l. Which is the closest to 0? (a) o (b) 61/2 (c) -2 c Let a(x) = -4*x - 29. Let b be a(-7). Let f = 1 + 7. Let v be (f - 12)*1/(-2). What is the nearest to b in v, 4, 3? v Let d = 161802 + -161801. Let x = 0.1 + 3.9. Which is the nearest to d? (a) 5 (b) x (c) 10 b Let r = -14646/7 - -2092. Which is the nearest to 1/2? (a) 0.3 (b) 0 (c) -2/75 (d) r a Suppose -2 = -2*r + 2*y + 12, -y - 2 = 0. Suppose 81 = r*l + 11. Suppose 2*u + 18 = 5*b, 0 = -3*u - 3*b + 1 + l. What is the closest to u in 0.5, 4, 1/8? 0.5 Let v = -167345 - -14057341/84. Let r = 55/12 - v. Which is the nearest to r? (a) -2 (b) 2/9 (c) 8 b Suppose h = -m + 40, 4*m - 140 = m + h. Let z be ((-14)/(-4) + -3)*(-12)/m. What is the nearest to 0 in z, 3, 0.1? 0.1 Let n = -37553 + 37553. What is the nearest to -32 in n, 0.4, 91? n Let z = -6.983 + 6.783. Which is the nearest to 1/2? (a) -2 (b) 0.008 (c) z (d) -0.5 b Let h = -85 + 85.0214. Let b = 0.1214 - h. What is the closest to 2 in b, -3/2, -0.2, -5? b Let k be (1/1)/(20/80). Let i be (7*(-8)/(-336))/((-1)/k). Let g = -0.5 - -0.9. What is the closest to i in g, -3/7, -1? -3/7 Let t be (-32)/192 + 9/(-2) + 8/(-24). What is the nearest to 0.1 in -584, t, 1? 1 Let p = 848 - 213. Suppose -6*o + 5 = p. Let s be (-4)/10 - 72/o. Which is the nearest to 0? (a) s (b) -4 (c) 3/7 a Let x(p) = p**3 + 5*p**2 - 5*p - 21. Let b be x(-5). Suppose 32 = -7*z + b. What is the closest to 27 in z, 0.5, -3? 0.5 Let y = -0.05948 - -0.15948. Let b = -60634/53 - -1144. What is the closest to y in 0.5, 2/9, b? 2/9 Let s(w) = -5*w + 4 - 7 + 4 + 0*w. Let m be (-2)/(-4)*(-46 + 46). Let f be s(m). What is the nearest to f in 0, 0.4, 0.2? 0.4 Let i = -16698 - -16700. What is the nearest to i in -13/6, 6/11, 3? 3 Suppose 4*p + 44 = 3*t, -4*t = -4*p - 31 - 33. Let y be (t/140)/((-12)/(-7)). Let i be 70/21 - (8/6)/4. Which is the nearest to -4? (a) 1 (b) y (c) i b Let v be (2/6)/((-2)/(-30)). Let l(y) = -y**3 - 6*y**2 + y + 9. Let x be l(-6). Let q be x*(1 - (-12)/(-18) - -1). What is the nearest to q in 0.5, v, -0.5? v Let b = 743 - 742.5. What is the nearest to 1 in 2/3, 3, -3, b? 2/3 Let t be (-1 + 1)*(-43)/86. Let m = -134 + 1476/11. What is the closest to -2 in -2, t, m? -2 Let n = 5.12 + -0.12. Let g = -457 - -3195/7. Let s = -59 + 172/3. Which is the nearest to -0.1? (a) s (b) n (c) g c Suppose -4*k + u + 17 = 3, 5*k + 5*u = 30. Let g = -2.67 + 2.47. Which is the closest to k? (a) 3 (b) g (c) 1/7 a Let p = -2 - -5. Let x be (-22)/165 + (-86)/(-495). Let d = -178/495 - x. Which is the closest to 1? (a) p (b) d (c) -0.08 c Let n = 183930 + -183935. Let x = 5.3 + -5. What is the nearest to x in 2, -0.5, n? -0.5 Let p = 14347 - 14343. Which is the nearest to 90? (a) p (b) -3 (c) 0.3 (d) 3 a Let t = -13 + 10. Let g = 5062 + -5062.3. What is the nearest to t in -0.5, g, 0.2? -0.5 Let k = 0.1875 + -0.5875. What is the nearest to 0.1 in 3, k, 66/19? k Let v = 644 - 548. Let h be -1 + (v/(-36))/(4/6). What is the nearest to -1/16 in h, -2/7, 0.3? -2/7 Suppose 7*j - 2*j = 30. Let r be j/(5 + -2) - -5. Let n = -5367.5 + 5368. What is the closest to -0.1 in n, 3, r? n Let s be (-4)/(-2) - 210/140. What is the closest to s in -1, -27, -3/2? -1 Let x = -3.5 + -0.5. Let h = 2912.6 + -2912.49. Let w = -3 + 4. What is the nearest to h in 4, w, x? w Let p = -10690 + 10683. What is the closest to 0 in p, 1/4, -6/7? 1/4 Suppose 0 = s + 2 - 4. Let q = -0.155 - 0.071. Let v = q + 0.026. What is the nearest to v in s, -4, -0.4? -0.4 Let l(p) = p**2 - 60*p + 362. Let t be l(7). Let s = 0.1 + 0. Which is the closest to s? (a) t (b) -1 (c) 0 c Let g be (-10)/(-8)*(-3)/5. Let f = 1005.6 + -1006. What is the nearest to -83 in g, 2/7, f? g Let k = 482562876/391685 - -142/37905. Let v
{ "pile_set_name": "DM Mathematics" }
fy (sqrt(24)/(sqrt(12)*-2) + sqrt(2) + 2)**2 + sqrt(200)*-1*6 - ((sqrt(20)/(sqrt(10) + -1*(sqrt(160) - sqrt(10)))*-5)**2 + 0). -58*sqrt(2) - 8 Simplify (sqrt(77)*5*1 + sqrt(77) + 5*-3*sqrt(77))/((2*(1*sqrt(110) + sqrt(110) + sqrt(110)))/(-2*sqrt(30)/sqrt(3))). 3*sqrt(7) Simplify 5 + -1*((sqrt(208) + -3 + 2 - (0 + sqrt(208) + -5 - sqrt(208)))**2 + -5). -214 - 32*sqrt(13) Simplify 6*(sqrt(198)/sqrt(2))**2*-1 - (1*(sqrt(121)*2 - sqrt(121)))/(sqrt(176)*-2 - sqrt(11)). -594 + sqrt(11)/9 Simplify (1 + (sqrt(4032) - (-3 + sqrt(4032))))**2 + 4*5*sqrt(252)*3. 16 + 360*sqrt(7) Simplify (((sqrt(396) - sqrt(396)*2)*1)/((sqrt(12) + sqrt(12)*2)*-5))/(((sqrt(1331) - (1*sqrt(1331) + sqrt(1331) - sqrt(1331)))*5 + sqrt(1331))*-4). -sqrt(3)/660 Simplify -5*(sqrt(190)/(sqrt(20)/sqrt(2)) + -1 + sqrt(1539)) + 6*(sqrt(684)*3 + 3). 23 + 58*sqrt(19) Simplify -2*(-3*sqrt(40)/(1*1*sqrt(4)))/(-6*(-2*sqrt(128) + sqrt(128)) - ((sqrt(128) + (1*sqrt(128)*-1 - sqrt(128)) - sqrt(128)) + sqrt(128))). 3*sqrt(5)/28 Simplify -4*(0 + (-4*(2*sqrt(528) + sqrt(528))*5)/(sqrt(22)/sqrt(2)*1 - 1*sqrt(11)*3)). -480*sqrt(3) Simplify (5*(3*sqrt(500))/sqrt(10)*6)/(-5*(sqrt(810) + sqrt(810) + (1*sqrt(810) - sqrt(810) - sqrt(810))) - 3*sqrt(810)*2). -10*sqrt(5)/11 Simplify (2 + (sqrt(180) + -2*sqrt(180)*2 + sqrt(180)*1 + -2 + (5 + sqrt(180)*3)*-6)*-3 + -1)**2. 69840*sqrt(5) + 657409 Simplify -2*((sqrt(272)*3 - (1 + sqrt(17) + -1)) + 4 + (4*(2 + sqrt(1088)))**2). -34952 - 1046*sqrt(17) Simplify -3*(((sqrt(13) - sqrt(832)*-5)*6*1)**2 - ((sqrt(130) + sqrt(130)*2)*4)/(2*sqrt(1440))). -2360124 + 3*sqrt(13)/2 Simplify ((sqrt(187) + -5*2*sqrt(187) + ((sqrt(187) - -1*sqrt(187)) + sqrt(187))*6)*-4)/((2*sqrt(539) - sqrt(539))*1 - -4*sqrt(539)*-1). 12*sqrt(17)/7 Simplify (-4*(sqrt(180)/sqrt(3))/sqrt(4)*-2)/((sqrt(5445)*-2)/(-1*sqrt(225))). 20*sqrt(3)/11 Simplify (4 + (((sqrt(45)*2 - sqrt(45)) + -3)**2 - ((sqrt(5) - sqrt(35)/sqrt(63))**2 + -4)))*1. -18*sqrt(5) + 538/9 Simplify (-1*sqrt(147)*6 - ((sqrt(147) + -2*sqrt(147))**2 + -1) - (2 + -1*(0 + sqrt(147)))**2)*3. -891 - 42*sqrt(3) Simplify ((sqrt(5) + (sqrt(125) - (sqrt(125) + -1 - sqrt(125))) + -5 + 3)**2 + 2 - ((3*sqrt(110))/sqrt(2))/(sqrt(77)/(sqrt(7) - sqrt(63)))) + 0. -6*sqrt(5) + 183 Simplify (4*(sqrt(18) + sqrt(144)/(sqrt(40)/sqrt(5)))*1)/(6*sqrt(324)*-3*6). -sqrt(2)/81 Simplify (0 + (sqrt(200) + 1 + -4 - -5*(sqrt(200)*2 - sqrt(200)) - (1*(-1 + sqrt(200)) + sqrt(200) + 5 + -1*sqrt(200)))*-4 + -3)**2. -10000*sqrt(2) + 80625 Simplify ((sqrt(480) - 2*(sqrt(480) - sqrt(480)*-1)) + sqrt(480) + 2*sqrt(480)*-1)/((6*1*sqrt(66) - sqrt(66))/(sqrt(44)*-1)). 32*sqrt(5)/5 Simplify (6*(5 + 3*sqrt(833) + sqrt(833) + -5 + sqrt(17)*1 + 1 + sqrt(102)/(-1*sqrt(6))))**2. 2016*sqrt(17) + 479844 Simplify -2*((1 + -5 + 1 + sqrt(200))**2 - (4*sqrt(200)*-2 + 1)**2). -200*sqrt(2) + 25184 Simplify (((-1*sqrt(176)*-4)**2 + sqrt(176) - (3*-1*sqrt(176))**2) + (4*(1 + sqrt(176)))**2 + -4 + 3)*6. 792*sqrt(11) + 24378 Simplify (sqrt(520)/(sqrt(30)/sqrt(3)) + -1)**2 + (-6*sqrt(65)*1)/(sqrt(180)/sqrt(4)). -6*sqrt(13) + 53 Simplify ((-1 + sqrt(300))*2 + (-3 + (-2*sqrt(300) - sqrt(300)) - sqrt(300)))**2 + -4 - ((sqrt(165)/(sqrt(10)/sqrt(2)))/(2*sqrt(11)*-2) + -3). 801*sqrt(3)/4 + 1224 Simplify (1*(-3*(sqrt(500) + -1) + (-3 + (sqrt(500) + 0 - sqrt(500)) - sqrt(500)) - (-1*sqrt(500) + 5 + sqrt(500) + 5)) + 0 + -1)**2. 880*sqrt(5) + 8121 Simplify 5 + (((6*(-1 + sqrt(19) + sqrt(19))*-2 - (sqrt(76) + 4 + sqrt(19) + ((sqrt(19) + sqrt(38)/sqrt(2))*-5 - sqrt(19)))) + -4)*4)**2. -2048*sqrt(19) + 78085 Simplify (5 + 3*1*sqrt(19))**2 + ((sqrt(304) + sqrt(19))**2*-4 - sqrt(19)) + -2 + -2 + 0 + (sqrt(2736) + (-2*2*sqrt(2736) + sqrt(2736) - sqrt(2736)))**2. 29*sqrt(19) + 22916 Simplify 5*((-2 + sqrt(242) + sqrt(242) + -4 - sqrt(242) - sqrt(242)) + -3 - (sqrt(242)*2 + 5 + sqrt(242) - (sqrt(242)*1 + -3)))**2. 3740*sqrt(2) + 6285 Simplify 4 + 6*(1*(sqrt(80) - sqrt(80)*-1*5) - (4 + (-1 + sqrt(500) - sqrt(500)))*1). -14 + 144*sqrt(5) Simplify (-2*-2*sqrt(171)*1 + sqrt(475)*-5*-6*6)**2. 15803136 Simplify ((((sqrt(140)*-2)/sqrt(7) - sqrt(20)) + sqrt(20))/(4*sqrt(20)/sqrt(5)) - (1*sqrt(5000))/(1*sqrt(490)))**2. 3645/196 Simplify -2 + sqrt(5) + sqrt(405) + (sqrt(405) - (sqrt(405) - -3*sqrt(405))) + -1 + ((1 + sqrt(80) - sqrt(80))*6*-6)**2. -17*sqrt(5) + 1293 Simplify ((sqrt(475) + -2)*2 + -4)**2 - (-3*(2 + sqrt(76))*-5)**2. -16036 - 1960*sqrt(19) Simplify -4*(sqrt(198)/(sqrt(24)/sqrt(4)))/(sqrt(11) + -1*sqrt(396)) + (sqrt(192) + sqrt(192) + 2 + 0)**2 + 0 + 4*sqrt(192). 484*sqrt(3)/5 + 772 Simplify ((-1*(sqrt(176) + 1) - (3 + -2*sqrt(176) + sqrt(176))) + 4)**2 + -3. -3 Simplify 1*sqrt(65)/(sqrt(5) + (sqrt(200)/sqrt(4))/sqrt(10) + sqrt(5)) - (sqrt(637)*-2*6 - sqrt(637) - (sqrt(637) - (sqrt(637) + 0 + sqrt(637))**2)*-3). 211*sqrt(13)/3 + 7644 Simplify ((-3*4*sqrt(1539)*4 + (sqrt(1539) - (5*-2*sqrt(1539) - sqrt(1539)) - sqrt(1539)) + sqrt(1539) + 1*sqrt(1539) + 4)*-1)**2. -2520*sqrt(19) + 1885291 Simplify ((sqrt(176) + 0 + sqrt(176) + sqrt(176) + 5)*-2 - (6*2*sqrt(66) - sqrt(66))/(sqrt(18)/sqrt(3)*6))**2. 1550*sqrt(11)/3 + 267875/36 Simplify ((-2*sqrt(114) - sqrt(114))*-2*-4*1)/(4*(2*sqrt(864)*1 - sqrt(864))). -sqrt(19)/2 Simplify -4*(1*(sqrt(2112) + (sqrt(2112) - (sqrt(2112)*1 + sqrt(2112))))*-6)/(sqrt(12)/(sqrt(4)*1) - (sqrt(108)*-4 + sqrt(108))). 0 Simplify ((-1*sqrt(300)/(sqrt(640) + sqrt(10)))/(-6*sqrt(160) + sqrt(10) - sqrt(90)*6))**2. 1/45387 Simplify (-1 + ((sqrt(405)*1 + -5)**2 - (sqrt(405)*-1 + -5)) - (-5 + (-1 + -2*sqrt(405) - (-2 + sqrt(405)*-2))**2)) + 1. -81*sqrt(5) + 439 Simplify ((4*(-2 + sqrt(3)))**2 - (sqrt(108)/sqrt(4) + sqrt(3))) + 2 + -6*(2 + 0 + sqrt(192) + sqrt(192) + 3 + sqrt(192) + -1 + sqrt(192))**2. -18414 - 1604*sqrt(3) Simplify (3*(sqrt(3456) - sqrt(3456)*2)*-1)/((sqrt(1728) + -3*sqrt(1728) - sqrt(12)) + sqrt(12) + -5*(sqrt(12) + 3*sqrt(12))). -9*sqrt(2)/11 Simplify (2*-4*(sqrt(119) - (sqrt(119) - -4*(sqrt(119) + (sqrt(119)*-1 - sqrt(119))))))/(sqrt(49)/sqrt(28) - sqrt(700)*-3)*-4. 256*sqrt(17)/61 Simplify (-5 + 3 + 0 + sqrt(272) + (sqrt(187)/sqrt(176) + 4)**2 + 1)*3. 771/16 + 18*sqrt(17) Simplify ((-2*-2*(sqrt(117) + 1 + sqrt(117)))**2 - (-4 + (3 + sqrt(117))*-6))*1 + 3. 210*sqrt(13) + 7529 Simplify -4 + (3*sqrt(19)*-1)**2 + -5*(-1 + sqrt(19)) + 1*((sqrt(475) + sqrt(475) + 0 + sqrt(475) + -5)**2 - sqrt(475)). -160*sqrt(19) + 4472 Simplify ((((sqrt(77) - 1*sqrt(77))*4 - sqrt(77)) + sqrt(77) + ((sqrt(77) + sqrt(77) + sqrt(77)*1)*5 - sqrt(77)))*-2)/(sqrt(56)/sqrt(8)*-5 + sqrt(700)*1). -28*sqrt(11)/5 Simplify sqrt(7) + 2*(sqrt(35)/sqrt(5))**2 + sqrt(7) + (-1*sqrt(70) + sqrt(70))/sqrt(10) + 1 - (-1*-5*sqrt(7) - (3 + sqrt(28))). -sqrt(7) + 18 Simplify ((-1 + sqrt(2736)*2 - (sqrt(2736) - 3*sqrt(2736)*2)) + (-4 + 2*sqrt(2736))*-3 + 3 + 3)**2. 408*sqrt(19) + 3025 Simplify ((-3*(sqrt(171) + sqrt(171)*-1) - sqrt(171)*2*-5)*-2)/(((sqrt(108)*-1)/sqrt(2))/((sqrt(24)/sqrt(2))/sqrt(2))). 20*sqrt(19) Simplify (-5 + (1 + sqrt(99))*-4 + ((-2*sqrt(99) - sqrt(99))*-6 - sqrt(99)) + -4*(4 + sqrt(99)*3) + 4)**2. -126*sqrt(11) + 540 Simplify (5*((sqrt(112) - 6*(1 + sqrt(112)))*2*5*-3 + -5)*-2)**2. 21000000*sqrt(7) + 255062500 Simplify -2 + ((sqrt(133) + 3*(sqrt(133) + sqrt(133)*-5 - sqrt(133)) + sqrt(133))/(sqrt(1134)/sqrt(2)) + -2)**2 + 5. 52*sqrt(19)/9 + 3778/81 Simplify 0 + 5 + -1*(1*sqrt(76)*3 - -6*(sqrt(76) + -3)**2)*3. -1525 + 198*sqrt(19) Simplify (sqrt(228)/((sqrt(280)/sqrt(10))/sqrt(7)))/((sqrt(36)/sqrt(4))/sqrt(3) - sqrt(12)*-2). sqrt(19)/5 Simplify (sqrt(2736) + -3*sqrt(2736)*6)**2*-1 - (1 + -2*sqrt(76)*6)**2. -801649 + 48*sqrt(19) Simplify -5 + (-4 + (sqrt(208))**2*2 - (-4 + 4 + sqrt(13) + -5)). -sqrt(13) + 412 Simplify (-6*(sqrt(900) + (sqrt(900)*-2 - sqrt(900))*-1)/(sqrt(180) - 4*(sqrt(180) - ((sqrt(180) - (sqrt(180) - (sqrt(180)*4 - sqrt(180)))) + sqrt(180)))))**2. 2880/169 Simplify 1*(3 + 4 + -2 + sqrt(2) + -1*sqrt(2) + -5 + sqrt(200)*-2 + 4). -20*sqrt(2) + 4 Simplify ((sqrt(54) + sqrt(270)/sqrt(5))/sqrt(9))/(-1*sqrt(363) - sqrt(363)) + ((2*sqrt(12) + sqrt(12))*-6)/((sqrt(54)*-1 - sqrt(54))/sqrt(9))*-6. -595*sqrt(2)/11 Simplify (4 + ((sqrt(153)/(3*sqrt(9)))**2 - (2*sqrt(612))**2 - (-3 + sqrt(68)/sqrt(64)*6)**2))*-2. -18*sqrt(17) + 89617/18 Simplify -4 + (5*(sqrt(1300) + -4) + -5 - (3
{ "pile_set_name": "DM Mathematics" }
+ 5 for y. 5 Let g(m) = 2*m - 10. Let i be g(7). Let u = -998 - -990. Let s be i/u*(-25 + 1). Solve 5*n = -s + 37 for n. 5 Let r(k) = 5*k**3 + k - 1. Suppose 4*b + 3 = 11. Let x be 0/1 - (1 - b). Let d be r(x). Solve 1 = -d*y - 9 for y. -2 Let z = 88 + -82. Let p be 5 + 1 + (30/z - 1). Solve 15 = -5*k - p for k. -5 Suppose 0 = -7*i + 7 - 7. Solve -13*s + 14*s = i for s. 0 Let d(n) = 13*n**3 - 4*n**2 + 4*n. Let q be d(1). Solve 6*u - 5 = q for u. 3 Suppose 6*p + 29 - 59 = 0. Let x = -8 - -5. Let l be -5*2/(1 + x). Solve -p = l*g + 5 for g. -2 Let p(s) = 6*s**2 - 49*s + 11. Let o be p(8). Let d(v) = -v + 8. Let c be d(6). Solve a - c*a = -o for a. 3 Let h = 577 + -577. Solve -16*z + 7*z - 45 = h for z. -5 Let l be 2 + ((-80)/(-100))/(1/10). Solve -32*h + l = -34*h for h. -5 Let g be (-20)/6*-5*(1 + -4). Let w be (-14)/(-4) + (-5)/g*5. Solve -5*c + 3*c + w = 0 for c. 2 Let s = 35 + -49. Let l be (0 - 1) + -3 + 18. Let c = l + s. Solve 3*p + c*p = 12 for p. 4 Let d be (-3 + (-5)/(-3))*(-2 + -1). Let q = 7 - d. Let i = 3 + 1. Solve 0 = 7*x - i*x - q for x. 1 Let c be 12/18*3/(-2). Let t(s) = 5*s - 1. Let k be t(c). Let q be 0/((-2)/k*3). Solve q*i - 4 = -i for i. 4 Let b = -1 - -16. Suppose -7*t + 10 = -2*t + 5*f, 0 = 3*t - 4*f - 27. Suppose -3*l = t*x, -3 = -3*l - x - 3*x. Solve l = -4*m - b for m. -5 Let j(w) = -w**2 + w + 23. Let i be j(5). Solve -2*c - i*c - 20 = 0 for c. -4 Let c(r) = -r - 6. Let f be c(-7). Let s be -4 + 2 + (f - -4). Suppose 0*h = h - 12. Solve 3*m - h = -s for m. 3 Suppose -16*u + 11*u - 160 = 0. Let h be 6*(3 - u/(-12)). Suppose -h*n = 3*n. Solve n = -5*g - 15 - 0 for g. -3 Suppose -12 = -2*p + 2*m - 4*m, p = -2*m + 6. Solve p*g + 2 = 4*g for g. -1 Let b be (0 - (-4)/(-3))*(-48)/32. Solve b*p - 2 - 6 = 0 for p. 4 Let g(b) = -b**2 + 3*b + 2. Let k be g(3). Suppose -4*q + 13 + 1 = -k*l, -l + 23 = 4*q. Suppose 3*p + i = 2*p, l*i + 12 = 3*p. Solve 4*u = -p - 2 for u. -1 Let l = 66 + -57. Suppose -8 = -3*t - 5. Solve -t = 2*u - l for u. 4 Suppose -73*o = -59*o - 280. Suppose 2*n + 3 = -1. Let w = -2 - n. Solve w = 3*g + 2*g - o for g. 4 Suppose -t = 2*v - 4, v + 2*v - 1 = t. Solve -d - v = -0*d for d. -1 Let t be 1*3 - (48 + -47). Solve -t*a - 19 + 9 = 0 for a. -5 Let a be 30*((1 - -3) + 63/(-18)). Solve 6*v = v + a for v. 3 Suppose 0 = 7*p - 24 + 24. Solve p = -66*s + 57*s + 9 for s. 1 Let d = 40 - 35. Suppose 3*v + d*c = -2*v + 40, 5*v - 4*c = 4. Suppose -72 = -4*r - v*p, -28 = -5*p - 13. Solve -2*h + r = h for h. 5 Let q be (-1)/(3*(-4)/36). Suppose o + q*v = -2*v + 20, -3*v = 5*o - 12. Solve -3*h + o*h = 12 for h. -4 Let a = -310 + 314. Suppose -3*q - g + 61 = -0*q, -q + 16 = -4*g. Solve 0*p + a*p = -q for p. -5 Suppose k + 13 = 4*f, 2*f - 4*k = f + 7. Suppose 9 = 5*y + z - 95, -5*z = -f*y + 40. Solve -2*r - 2*r = y for r. -5 Suppose 0 = -0*x + 43*x - 645. Solve 0 = -10*r + 5*r - x for r. -3 Let m be -15*((-10)/6 - 2/(-3)). Solve -3*u + m = 2*u for u. 3 Suppose -195 = -26*v - 65. Solve 4 - v = f for f. -1 Let s be (12 - 81/9) + -1 + 0. Solve 18 = -s*z + 8*z for z. 3 Let i(p) = -25*p + 115. Let b be i(4). Solve b - 17 = 2*n for n. -1 Suppose -41 = -31*x - 10. Suppose 3*s = 2*d - 4, 5*s - 4*d + 0*d + 10 = 0. Suppose -16 = -s*y - 2*y. Solve -y + x = 3*z for z. -1 Suppose 11*v = -46 + 68. Solve 1 = -v*x - 5 for x. -3 Suppose -p - 4*c - 2 = 0, 0*p - 3*c + 9 = -p. Let w = p - -18. Solve -2*y = y - w for y. 4 Suppose 0 = -7*z + 43 + 6. Solve -4*q - 5 - z = 0 for q. -3 Let x(h) = -h**3 - 26*h**2 - 34*h - 181. Let c be x(-25). Solve 0 = -8*a + 19*a + c for a. -4 Let b(d) = d**3 - 17*d**2 - 20*d + 10. Let h = 7 + 11. Let s be b(h). Let o = -26 - s. Solve 2*r + 0*r - 4 = o for r. 2 Let l(p) = 8*p - 2. Let h be l(2). Suppose -4*y + h = 6. Suppose 2*b - 64 = -y*b. Solve b = -3*d - d for d. -4 Suppose -g = -2*j - 2*j - 23, -g - 22 = 5*j. Suppose 27 = 7*o - 2*o - 3*x, g*x = -2*o - 6. Suppose 1130*a + 64 = 1146*a. Solve 0 = v - o*v - a for v. -2 Let m(o) = -o - 2. Let s = 29 - 32. Let i be m(s). Solve 2*d + 5 = i for d. -2 Suppose 0 = 45*b - 337 + 22. Solve 4*y = -13 - b for y. -5 Let w be ((-340)/50)/(14/(-35)). Solve -w = 2*r - 9 for r. -4 Suppose 7*b + 9 + 19 = 0. Let c be 2/16*-6*b - -7. Solve -3*f + 5*f = c for f. 5 Let u = -12 - -24. Suppose -4*v + 30 = 10. Let a be (-1)/(-10)*v*u. Solve -4*r + a = 26 for r. -5 Suppose 25*u + 5*u = 360. Solve 16*a = u*a for a. 0 Let v(b) = -38*b + 119. Let k be v(3). Solve 10*r - k*r = 20 for r. 4 Let r(p) = -2*p + 9. Let q be r(-1). Solve -q = -w - 8 for w. 3 Suppose 6 = 15*d - 39. Solve -d*f = 3*f + 24 for f. -4 Suppose j - 3*u + 12 = 4*j, 0 = -3*j + 3*u + 6. Let d(s) = -s + 2. Let z be d(2). Solve z*x - j*x = 12 for x. -4 Let h = -15 - -21. Suppose h*w = w + 105. Suppose w = 4*g - 19. Solve n + g = -n for n. -5 Let r(j) = j**3 - 6*j**2 + 7*j + 2. Suppose -2 - 18 = -5*z. Suppose q - m = 8, 7 + 7 = z*q + 2*m. Let f be r(q). Solve -4*w + 4 = f for w. -2 Let p(h) = -h**3 + h. Let s(f) = 6*f**3 - 6*f**2 - 5*f - 16. Let m(t) = -5*p(t) - s(t). Let j be m(6). Solve -g - j = 3*g for g. -4 Let x = 11 - 9. Suppose -d + 75 = -5*q + d, -x*q + 5*d = 51. Let v be 0/q + 1*4. Solve -3*h + 13 = v for h. 3 Let z = -38 - -40. Solve 2 = z*c + 12 for c. -5 Suppose -w - 4*r + 34 = 3, r - 139 = -4*w. Solve -w*m = -31*m for m. 0 Let t be 3 + (-1 - -1) + 3. Suppose x = 5*m + 36, -x + t = -2*m + 3*m. Let j(a) = -a**2 + 11*a + 3. Let w be j(x). Solve w*n - 2*n + 3 = 0 for n. -3 Let t(s) = -2*s**3 + 17*s**2 - 7*s. Let d be t(7). Let g = d - 93. Solve 0 = -h + g - 8 for h. -3 Let m be 4/14 - (-220)/14. Suppose 21*b - 20 = m*b. Solve b*g + g = 20 for g. 4 Let g(w) = 2*w**2 + 27*w + 7. Let c be g(-15). Let q = -51 + c. Solve -3*t = -2*t + q for t. -1 Let z = -583 - -622. Solve -2 = 41*i - z*i for i. -1 Suppose -2 = -b + 2*c, 2*b + 2 = 3*b + 5*c. Let v be b/(-7) + 150/35. Solve -j + 12 = -v*j for j. -4 Suppose -2*w + 4*v = -28, -w + 3*v = -2*w - 6. Solve -q + w = 1 for q. 5 Let c(s) be the first derivative of 3*s**2 + s + 2/3*s**3 + 2. Let y be c(-4). Solve 5*v - 2*v - y = 0 for v. 3 Suppose 44*w + 18*w = 9*w. Solve w*t - 8 = 8*t for t. -1 Let o be ((-8)/(-12))/((-3)/(-27)). Solve -2*s + o*s = -8 for s. -2 Let c = 76 - 186. Let w = c + 125. Solve -u + w = 2*u for u. 5 Let v = -9 - 12. Let g be ((-9)/(-4))/(2/32). Let s = v + g. Solve 4*q + q - s = 0 for q. 3 Let t be (-15)/10*(-12)/9. Let y be 0*(1 + 0) + t. Suppose 2 = y*c, 7*c = -v + 4*c + 8. Solve -v*w - 10 = -3*w for w. -5 Suppose 4 + 2 = -z - 2*y, -z + 12 = -4*y. Let s(l) = 3*l**2 + 12*l + 14. Let t be s(-2). Solve t*u - 6 = -z*u for u. 3 Let m = -76 + -61. Let g be (-2)/15 - m/15. Solve 0 = 3*c + g for c. -3 Suppose 0 = -4*l - l. Let w(v) = 2*v**3 + 12*v**2 - 3*v - 15. Let n be w(-6). Suppose -26 = -4*a + 5*j - 1, l = n*a + 3*j + 15. Solve a = -3*y - y for y. 0 Let m(q) = q**3 - 6*q**2 + 2*q - 8. Let s be m(6). Suppose -3*p + 124 = 4*w, 5*w - 6*w + 3*p = -16. Suppose 14*h - w - 42 = 0. Solve s*l - h = -1 for l. 1 Let a(r) = -3*r**2 + 9*r + 84. Let v be a(7). Solve v = 29*n - 25*n - 20 for n. 5 Let o be (-24)/28 + (-162)/(-42). Solve -85 + 76 = o*w for w. -3 Suppose 546*k + 32 = 554*k. Solve -k*s = -7 + 3 for s. 1 Let g be ((-12)/(-7))/((-4)/(-14)). Suppose -2*r - 6*m + 2*m = g, 6 = -2*m. Suppose 2*q + q - 21 = -3*y, 0 = -q - 4*y + 22. Solve q*k = k + r for k. 3 Suppose 0 = -d + 39 + 4. Let i = -40 + d. Solve i*p = p for p. 0 Let p = 12464 + -12464. Let k be (-4)/(-3)*(-6)/(-4). Solve k*f + 8 - 2 = p for f. -3 Suppose -481*k = -476*k. Solve z - 17 + 20 = k for z. -3 Let q(s) = 3*s - 1. Let d be q(-1). Let g = d + 6. Solve -g*v = -8 - 2 for v. 5 Let h = 92 + -64. Let y(r) = -5*r**3 - r**2. Let t be y(-1). Suppose t*m - 3*m = 5. Solve -m*b + 8 = h for b. -4 Suppose -17*u = -14*u - 54. Let p = u + -14. Solve p*s = 12 + 4 for s. 4 Suppose 30 = -8*o + 11*o. Suppose o*q - 6*q - 24 = 0. Solve b = q*b for b. 0 Let v(o) = -o**2 - 8*o + 279. Let u be v(13). Solve -u*d = -6 - 6 for d. 2 Let c be (-34)/(-153)*(-45)/(-10). Solve c = -3*k - 5 for k. -2 Let t = -1 + 6. Suppose t = 4*z - 27. Let w be ((-6)/z)/((-3)/12). Solve -14 = -w*n - 2 for n. 4 Let u be (-158)/14 - 8/(-28). Let r = u + 17. Suppose -r = -2*i - i. Solve g + i = -g for g. -1 Suppose -378*k + 44 = -367*k. Solve 93 -
{ "pile_set_name": "DM Mathematics" }
*w + p - 4/3*w**3 - w**2. What is the first derivative of k(u) wrt u? -8 Find the third derivative of 53*l**2 + 353059*l**4 - l + 8*l - 356596*l**4 wrt l. -84888*l Let b(r) be the first derivative of -45*r**4/2 + 31*r - 157. Let d(z) = -90*z**3 + 29. Let h(s) = 4*b(s) - 3*d(s). Differentiate h(p) wrt p. -270*p**2 Let n(d) be the second derivative of 53/12*d**4 + 9*d + 42*d**2 + 4 - 1/6*d**3. Find the second derivative of n(x) wrt x. 106 Let z(a) = -a**3 + 22*a**2 - 19*a - 39. Let s be z(21). Differentiate 38 - 23*p**3 + 0*p**s - 19*p**3 - 68*p**3 wrt p. -330*p**2 Find the third derivative of -25*p**2 - 1579*p**3 - 517 + 248 - 1092 + 21*p**2 wrt p. -9474 Let q(m) be the second derivative of m**5/3 - 11*m**4/12 + m**3/6 + 21*m**2/2 - m + 1. Let d(j) be the second derivative of q(j). Differentiate d(h) wrt h. 40 What is the third derivative of -344*d**2 - 32 - 19 - 2581*d**4 + 355*d**2 + 10 wrt d? -61944*d Let t(v) = -v**3 + 20*v**2 - 20*v + 22. Let n be t(19). Suppose n*a - 969 = 36. Find the second derivative of -319*l + 4 - 4 + 36*l**2 + a*l wrt l. 72 Let a = 85 - 74. Find the third derivative of -15*y**5 + a*y**2 + 34*y - 34*y - 39*y**5 wrt y. -3240*y**2 Let v(c) = 47465*c - 1613. Let p(b) = 15821*b - 541. Let k(r) = 7*p(r) - 2*v(r). Differentiate k(h) with respect to h. 15817 Let h(l) = -295*l**4 + 7*l**3 - 993*l + 7. Let o(s) = -298*s**4 + 8*s**3 - 995*s + 8. Let v(c) = 8*h(c) - 7*o(c). Find the second derivative of v(q) wrt q. -3288*q**2 Let p(v) be the third derivative of 849*v**7/70 - 635*v**3 + 2*v**2 + 14*v - 54. Differentiate p(i) wrt i. 10188*i**3 Let h be (-64)/10*15/(-6). What is the third derivative of -38*j**2 - 36*j**6 + 11 - h*j**2 - 12 wrt j? -4320*j**3 Suppose 0 = -0*h - 4*h + 6*h. Let i be (-1 + -12)/(-1 + h/(-1)). Find the second derivative of -613 + 613 - i*j - 6*j**2 wrt j. -12 Let p(k) = 3*k**2 + 15*k - 12. Let x be p(-6). Find the second derivative of 2 - x*u + 14 + 10*u - 3*u + 75*u**2 wrt u. 150 Let c(s) = s**2 - 2*s + 38. Let t be c(7). Let z = t + -65. Find the first derivative of -16*v + z*v - 19 - 10*v wrt v. -18 Let r(h) be the first derivative of -31/2*h**6 + 0*h**5 + 0*h**4 + 3*h + 0*h**3 - 81 + 1/2*h**2. Find the second derivative of r(m) wrt m. -1860*m**3 Let o = 1651 - 1646. Let q(g) be the third derivative of 0*g**o + 8/3*g**3 - 2*g**2 + 0*g + 1/40*g**6 + 0 + 0*g**4. What is the first derivative of q(r) wrt r? 9*r**2 Suppose 8 = w + 53. Let u = -42 - w. Find the second derivative of 28*o - 307*o**3 + u*o**4 - 6*o**4 + 307*o**3 wrt o. -36*o**2 Let f(p) = 6131*p - 7378. Let g(u) = 6135*u - 7385. Let z(j) = -7*f(j) + 6*g(j). Differentiate z(b) with respect to b. -6107 Suppose -3*a + 42 = -78. What is the third derivative of 2*i**2 - 20*i**5 - 3*i**4 + a*i**5 - 32*i**2 - 19*i**5 - 2 wrt i? 60*i**2 - 72*i Let q(k) be the second derivative of 13/10*k**5 - 3*k + 13 - 1/12*k**4 - 3/2*k**2 + 0*k**3. Find the third derivative of q(x) wrt x. 156 Let s = 343 + -301. Let r(v) = v**2 + v + 1. Let g be r(-2). Find the second derivative of -39*o**3 - s*o**3 + 80*o**g - 24*o wrt o. -6*o Suppose 0 = o - 2, -4*k - 5*o - 390 = -0*o. Let w = k + 102. What is the second derivative of 16*q + 4*q + 10 + 19*q**w - 10 wrt q? 38 Let j(n) = -n**3 - n**2 - 2*n - 1. Let d(p) = 8625*p**4 + 3*p**3 + 3*p**2 + 6*p - 6866. Let x(i) = -d(i) - 3*j(i). Find the first derivative of x(g) wrt g. -34500*g**3 Let v(z) = 5*z + 385. Let c be v(-53). Find the second derivative of 3*q**3 - c*q**4 + q + 2 + 3*q**3 + 403*q**4 - 6*q**3 wrt q. 3396*q**2 Let f(h) = -3*h + 219 - 4*h**2 - 141 - 6*h. Let y(b) = -4*b**2 - 8*b + 78. Let r(c) = -6*f(c) + 5*y(c). What is the derivative of r(w) wrt w? 8*w + 14 Find the third derivative of 1318*d**3 - 6691 - 683*d**2 + 6691 wrt d. 7908 Let k = 2119 + -1406. Differentiate -713*i - i**2 - 17*i**4 + 87 + 143 + k*i + i**4 with respect to i. -64*i**3 - 2*i Let w(h) be the third derivative of 0*h**4 + 0*h**3 + 0*h**6 - 1/48*h**8 + 43/60*h**5 - 2/105*h**7 - 11*h**2 + 0*h + 2. Find the third derivative of w(t) wrt t. -420*t**2 - 96*t Differentiate 927 + 133*p**3 - 182 - 1026*p**3 - p**2 + 745 wrt p. -2679*p**2 - 2*p Suppose -2*q + 62 + 127 = 3*i, -2*q + 192 = 2*i. Find the first derivative of 27 + 90 + 2*j**2 + 95 - 42 + q*j wrt j. 4*j + 99 Let m = 142 + -116. What is the second derivative of 135*x - m*x**2 - 113*x**2 + 78*x**2 wrt x? -122 What is the first derivative of -526 - 1502*p - 729 + 103 - 514 + 170 wrt p? -1502 Let i(q) = 1439*q**3 + 14*q**2 + 976*q. Let m(w) = 1440*w**3 + 12*w**2 + 974*w. Let j(t) = -6*i(t) + 7*m(t). Find the second derivative of j(o) wrt o. 8676*o Let m(k) = 5*k - 20. Let l be m(5). Find the third derivative of 171*u**5 + 222*u**5 - 610*u**5 + 149*u**l - 161*u**2 wrt u. -4080*u**2 What is the third derivative of -2*w + 671*w**5 + 9*w**2 + 18*w + 2 - 1681*w**3 - 1346*w**5 + 672*w**5 wrt w? -180*w**2 - 10086 What is the third derivative of 1542*x**6 + 171795*x**2 - 171869*x**2 + 115*x**6 wrt x? 198840*x**3 Let u(g) be the second derivative of 6*g**2 + 0 - 300*g + 8/3*g**3 + 125/12*g**4. What is the second derivative of u(a) wrt a? 250 Let b(x) be the first derivative of -2/3*x**3 + 37 + 0*x**2 + 14*x**4 + 0*x. What is the third derivative of b(w) wrt w? 336 Suppose 10*i - 9*i = -t, 0 = -4*i - 5*t - 4. Find the second derivative of 1 - 55*j - 151*j**4 - 37*j**i - 2 + 2 - 41*j wrt j. -2256*j**2 Let l be 0*(0 + (-1)/(-2)). What is the second derivative of -2 - 2*h**4 + l*h**3 - h**3 + 0*h**3 + 2*h + 0 wrt h? -24*h**2 - 6*h Let l = -45 - -79. Find the first derivative of l + 5*p**2 - 220*p + 220*p + 9*p**3 wrt p. 27*p**2 + 10*p What is the second derivative of -5*f**4 - 198*f - 135*f**2 + 54*f - 1098 + 1098 wrt f? -60*f**2 - 270 Suppose 9*z - 13*z - 396 = 0. Let t = z + 173. What is the third derivative of 32*w**2 - 8*w**4 - t*w**3 + 74*w**3 - 25*w**4 wrt w? -792*w Let b(x) be the second derivative of 341*x**4/4 - 613*x**2/2 + 1114*x. What is the derivative of b(w) wrt w? 2046*w What is the second derivative of -8670*m + 147*m**5 + 330*m**5 - 8665*m + 17332*m + 280 wrt m? 9540*m**3 Let d(k) be the third derivative of -277*k**8/336 - 13*k**7/210 - 3*k**5/20 + k**4/2 - 7*k**3/3 + 8620*k**2. What is the third derivative of d(o) wrt o? -16620*o**2 - 312*o Find the first derivative of -266 + 2173 + 2989*m + 1233 wrt m. 2989 Suppose 1093*k = 1095*k - 86. Differentiate -64*l - k*l + 104 - 148*l - 33*l + 112*l wrt l. -176 Let i = 15 + -11. Find the third derivative of -5*n**2 + 17*n**2 - 3 + n**2 - 2*n**4 + n**5 - 3*n**5 - 2*n**i wrt n. -120*n**2 - 96*n Let x(w) = 40*w**2 - 79*w - 99. Let l(o) = 38*o**2 - 79*o - 100. Let t(z) = 5*l(z) - 6*x(z). Let r(c) be the first derivative of t(c). Differentiate r(m) wrt m. -100 What is the third derivative of -846*t**3 + 25 - 45*t**2 - 305*t**3 - 23 + 4 + 98*t**3 wrt t? -6318 Let s(z) be the first derivative of -1117*z**3/3 - 55*z**2/2 + 3*z + 846. What is the second derivative of s(a) wrt a? -2234 What is the first derivative of -669 + 4478*r - 929 - 3394*r wrt r? 1084 Let u(g) be the first derivative of -941*g**6/6 - 6*g**2 - 2*g + 602. Find the second derivative of u(o) wrt o. -18820*o**3 Let r(s) be the third derivative of -s**5/30 - 53*s**4/24 + 245*s**3/6 + 29*s**2. Differentiate r(k) wrt k. -4*k - 53 Find the second derivative of 1366*z**2 + 1408*z**2 + 197*z**2 + 1061*z**2 - 8813*z wrt z. 8064 Let x be ((-4728)/(-15) - 0) + (-20)/(-25). Find the second derivative of -x*t**2 + 6 - 42 + 18 + 204*t + 18 wrt t. -632 Let t(o) = 12*o**5 - 2*o**2 + 2953*o. Let b(h) = 6*h**5 - h**2 + 1479*h. Let v(d) = -9*b(d) + 5*t(d). Find the second derivative of v(p) wrt p. 120*p**3 - 2 Let a be (-3)/(2/2) + (-1 - 80). Let h = 120 + a. Find the third derivative of -2*f**2 - 11*f**2 - 12*f**2 - h*f**6 + 5*f**6 wrt f. -3720*f**3 What is the second derivative of 362*s**5 - 26*s**5 - 2*s**4 - s**4 + 70*s + 147*s + 7 - 2*s**3 + 584*s**5 wrt s? 18400*s**3 - 36*s**2 - 12*s Let f(s) = -5 - 8*s**2 + s**3 - 4 + 0*s**2 + 37*s - 45*s. Let b be f(9). What is the derivative of 3 - 6*d - 6 + b*d + 2*d wrt d? -4 Let t(f) = 2*f**2 + 47*f + 26. Let r be t(-23). Differentiate -201*c**r + 138 - 48 + 151*c**3 wrt c. -150*c**2 Let l(w) be the second derivative of -w**7/21 + 31*w**6/10 - 1129*w**3/3 +
{ "pile_set_name": "DM Mathematics" }
68 in descending order. 8, -24, -268 Put 4/205, -4, -1/19 in decreasing order. 4/205, -1/19, -4 Put -379, -1/2, 5/3, -0.4 in ascending order. -379, -1/2, -0.4, 5/3 Sort -13, 2, -2288, -5/3, -1. -2288, -13, -5/3, -1, 2 Put 137, 3, -493 in ascending order. -493, 3, 137 Sort -3, 5, 14, -1, 6, 4 in increasing order. -3, -1, 4, 5, 6, 14 Put -2, -290, -2/13, 2/19 in decreasing order. 2/19, -2/13, -2, -290 Put 5564, -4, 1, -5 in ascending order. -5, -4, 1, 5564 Put -472, -4, -21, 1 in increasing order. -472, -21, -4, 1 Sort -152, 4, -2, -3, -39, 2. -152, -39, -3, -2, 2, 4 Sort 5, 0.1, 4, -3, 1/9, -0.103487 in descending order. 5, 4, 1/9, 0.1, -0.103487, -3 Put -2, 7, -7, 13, 4, -21 in ascending order. -21, -7, -2, 4, 7, 13 Put 13/21, 15, -0.05, -1/2, -3/8 in descending order. 15, 13/21, -0.05, -3/8, -1/2 Sort -15, 1, -2, -22, 1245 in ascending order. -22, -15, -2, 1, 1245 Sort 4630, -5, 4, -2, -1, 0. -5, -2, -1, 0, 4, 4630 Put -1, -9, -6, 4, 10 in decreasing order. 10, 4, -1, -6, -9 Sort 3, 21, 29, 2 in ascending order. 2, 3, 21, 29 Sort 50488, 7, -1, 4 in descending order. 50488, 7, 4, -1 Put -5, -3494, 5, 2 in increasing order. -3494, -5, 2, 5 Sort 22, -5, -91, -3, 1. -91, -5, -3, 1, 22 Sort 3/4, -3.1, -0.3, -22 in ascending order. -22, -3.1, -0.3, 3/4 Put -232, -1, -23, -2, 1 in increasing order. -232, -23, -2, -1, 1 Put -0.4, -262/35, 8 in descending order. 8, -0.4, -262/35 Sort 33, 4, -429 in decreasing order. 33, 4, -429 Sort -4, 3, -5, -10, 36 in ascending order. -10, -5, -4, 3, 36 Sort 5, -5, 371, 3 in decreasing order. 371, 5, 3, -5 Sort -26, -1.4, 0.2 in descending order. 0.2, -1.4, -26 Sort -2, 1, 51/19, -1/7 in decreasing order. 51/19, 1, -1/7, -2 Sort 538, 4, -142. -142, 4, 538 Sort 57, 13, -11, 4, 2 in ascending order. -11, 2, 4, 13, 57 Sort 38, -4, -120, 5, 10 in ascending order. -120, -4, 5, 10, 38 Put -7, 4, 7, -2 in ascending order. -7, -2, 4, 7 Sort 1, 252, -0.5, -44/3 in ascending order. -44/3, -0.5, 1, 252 Sort -1, 3, 0, 327, 179 in descending order. 327, 179, 3, 0, -1 Sort 0, 68, 2, -86, -2 in descending order. 68, 2, 0, -2, -86 Sort -11, -2/3, 2/9, 20, 8, -2 in ascending order. -11, -2, -2/3, 2/9, 8, 20 Sort 0.2, -2/17, 1.1, 1.26, 0.3, -5. -5, -2/17, 0.2, 0.3, 1.1, 1.26 Sort -1, -3, 19, 2, -73 in decreasing order. 19, 2, -1, -3, -73 Sort -109, -59, -5, 5, -1. -109, -59, -5, -1, 5 Sort 3, -7, -1287 in decreasing order. 3, -7, -1287 Sort 0.1, -5138/5, -70 in ascending order. -5138/5, -70, 0.1 Sort -0.4, 1/2654, -0.15 in descending order. 1/2654, -0.15, -0.4 Put 3, 6, 13, -2 in descending order. 13, 6, 3, -2 Put 2/5, 7, -89, 2/3, 2 in ascending order. -89, 2/5, 2/3, 2, 7 Put -1597, 1, 4, -1 in ascending order. -1597, -1, 1, 4 Put -216, 80, -8 in ascending order. -216, -8, 80 Put -3, 896, 1, 10, 3 in increasing order. -3, 1, 3, 10, 896 Sort -22, -23, -1, -10 in decreasing order. -1, -10, -22, -23 Put 2, 50, 727 in decreasing order. 727, 50, 2 Sort 0.007, 3, -1/3, -1, -0.6, -0.2 in decreasing order. 3, 0.007, -0.2, -1/3, -0.6, -1 Sort -4, -6, -60, 1, -55 in descending order. 1, -4, -6, -55, -60 Sort -26, 3, -15, -12. -26, -15, -12, 3 Put -1/2, 40/11, -1.1 in decreasing order. 40/11, -1/2, -1.1 Sort 1, 4, -10, 15. -10, 1, 4, 15 Put -2, 4.6, -0.2, -0.4, 3, 0.4 in descending order. 4.6, 3, 0.4, -0.2, -0.4, -2 Sort 0, 9, -1492. -1492, 0, 9 Sort -4, -5.7, -105, -2, -0.4 in increasing order. -105, -5.7, -4, -2, -0.4 Sort -617, 5, 3, -4 in decreasing order. 5, 3, -4, -617 Put -111, -9, -0.5 in descending order. -0.5, -9, -111 Sort 20, 592, 0, 5 in increasing order. 0, 5, 20, 592 Sort -3, 5, 1/7, 54, -13, 25. -13, -3, 1/7, 5, 25, 54 Put 3, 51, -182 in ascending order. -182, 3, 51 Put -1/818, -7, -4/45, -3 in ascending order. -7, -3, -4/45, -1/818 Sort 10164, 1, 15. 1, 15, 10164 Put 9, 2, 59, -5, 3, -3 in decreasing order. 59, 9, 3, 2, -3, -5 Sort 3/2, 2, -1/5, 6965. -1/5, 3/2, 2, 6965 Put 0, -31, 5, 6 in descending order. 6, 5, 0, -31 Sort 44, 0.4, 1/4, -88, 0.2, -1/2. -88, -1/2, 0.2, 1/4, 0.4, 44 Put 2, 5, -3, -1, 69 in decreasing order. 69, 5, 2, -1, -3 Sort 0, -5, -279486 in descending order. 0, -5, -279486 Put -5, -3, 18086, -15 in increasing order. -15, -5, -3, 18086 Sort 417, 1, -56, 2 in ascending order. -56, 1, 2, 417 Sort 2/153, -5, 0.17 in descending order. 0.17, 2/153, -5 Put 0.4, 4, -1.7271, 1 in decreasing order. 4, 1, 0.4, -1.7271 Put -20892, 4, -7, -1, 1 in increasing order. -20892, -7, -1, 1, 4 Sort -1/4, 2545, 7 in decreasing order. 2545, 7, -1/4 Sort -1, -3, 0, -675, -5, 2. -675, -5, -3, -1, 0, 2 Put -1, -3, 4, 21, 461 in increasing order. -3, -1, 4, 21, 461 Sort 1160, 1, 0.5, 5, -0.3. -0.3, 0.5, 1, 5, 1160 Sort -1/173, 36, 1/3, 5, 0.4, -1. -1, -1/173, 1/3, 0.4, 5, 36 Put 0.5, -244, -0.117 in ascending order. -244, -0.117, 0.5 Sort 2, -2, 6071, 4 in increasing order. -2, 2, 4, 6071 Sort -6, -40, 0.02, -1/2 in descending order. 0.02, -1/2, -6, -40 Sort 5, -2, -27, -3, 6 in decreasing order. 6, 5, -2, -3, -27 Put 0, -19, 2, -1, -42 in descending order. 2, 0, -1, -19, -42 Put -2, 5/7, 18, -5, -8, 1 in decreasing order. 18, 1, 5/7, -2, -5, -8 Sort 5/18, -3/8, -1.4, 4/5, -5, 1.1 in decreasing order. 1.1, 4/5, 5/18, -3/8, -1.4, -5 Put 15, -61, 10 in decreasing order. 15, 10, -61 Sort 0, 48, 2, 5, 4, -1. -1, 0, 2, 4, 5, 48 Sort -0.3, -5, 2, -0.2, -2/391, 0.2 in ascending order. -5, -0.3, -0.2, -2/391, 0.2, 2 Sort -14.5, 1/21, 8, 6/5. -14.5, 1/21, 6/5, 8 Put 3/13, 376, 3, 1, -0.5 in increasing order. -0.5, 3/13, 1, 3, 376 Sort 6, -0.4, 1, 0.1, -96 in descending order. 6, 1, 0.1, -0.4, -96 Sort 29, -4, 4, -46, -5, -3 in decreasing order. 29, 4, -3, -4, -5, -46 Sort -5, -3, -10, 13, 0, -1 in ascending order. -10, -5, -3, -1, 0, 13 Put 0, 1, -183, -4, -29, 13 in descending order. 13, 1, 0, -4, -29, -183 Put 4, -891, -1, 5 in increasing order. -891, -1, 4, 5 Put 95, 0, 824 in descending order. 824, 95, 0 Sort 2, 0.31, -0.17, -15. -15, -0.17, 0.31, 2 Sort -15, 4248, 0.2 in increasing order. -15, 0.2, 4248 Put -3, 5, -9, 0, -4, 4 in descending order. 5, 4, 0, -3, -4, -9 Sort -0.5, -385, 0, 6/5 in decreasing order. 6/5, 0, -0.5, -385 Put 3/2, 6, -4/9, -5, -45, 1.33 in increasing order. -45, -5, -4/9, 1.33, 3/2, 6 Sort -5, -4, 0, 23, 653, 3 in descending order. 653, 23, 3, 0, -4, -5 Put 0, -2/7, -0.3, 823, -1 in increasing order. -1, -0.3, -2/7, 0, 823 Sort 5, 4, 9, -85 in decreasing order. 9, 5, 4, -85 Sort -62/177, -18/19, 5 in descending order. 5, -62/177, -18/19 Put 1284, 4, 2, 5, -47 in decreasing order. 1284, 5, 4, 2, -47 Sort -468, 0.4, -62, -4, -3, 0.5 in descending order. 0.5, 0.4, -3, -4, -62, -468 Sort -54373, 4, -3 in descending order. 4, -3, -54373 Put -4, 365, 99 in decreasing order. 365, 99, -4 Sort 141, 23, 5, -0.2, 0 in ascending order. -0.2, 0, 5, 23, 141 Put -3/13, 13, -1262 in ascending order. -1262, -3/13, 13 Put -2, 2/3, -0.5, -1/219 in decreasing order. 2/3, -1/219, -0.5, -2 Sort -396, 5, -114. -396, -114, 5 Sort 5, 9, 8, -4, 20. -4, 5, 8, 9, 20 Put -10, -5, -1100 in ascending order. -1100, -10, -5 Sort 0.1, 9/13, -3, -2, -0.57, 7. -3, -2, -0.57, 0.1, 9/13, 7 Sort -30248, 2, -2 in ascending order. -30248, -2, 2 Sort 22, 1/2, 97, 3/5. 1/2, 3/5, 22, 97 Sort 4, -1/4, 190, -0.1, 52, -0.2. -1/4, -0.2, -0.1, 4, 52, 190 Put -34.9, -199/9, -2, -5 in decreasing order. -2, -5, -199/9, -34.9 Sort -10, -1/7, -235, 4 in decreasing order. 4, -1/7, -10, -235 Put 127, -100, -5 in descending order. 127, -5, -100 Sort 17/7, 3/8, 83/5, -2/5, 5 in decreasing order. 83/5, 5, 17/7, 3/8, -2/5 Sort 871, 5, -971. -971, 5, 871 Put -5, -45, 1, 0, -3, -32 in increasing order. -45, -32, -5, -3, 0, 1 Sort 2/9, 502, -6 in decreasing order. 502, 2/9, -6 Put 4, -5, 1437, 1 in descending order. 1437, 4, 1, -5 Sort 26, 9, 3384 in decreasing order. 3384, 26, 9 Put 3, -2, -31175, -1 in ascending order. -31175, -2, -1, 3 Sort -10, 3, -5, 234, -3 in descending order. 234, 3, -3, -5, -10 Sort -8, 61, -1894. -1894, -8, 61 Sort -32, -2, 8.91. -32, -2, 8.91 Put -87, -5, 3, 10, -9, 7 in decreasing order. 10, 7, 3, -5, -9, -87 Sort 61, 0, -313, -3, 3. -313, -3, 0, 3, 61 Put -1, -369, 21 in decreasing order. 21, -1, -369 Put -1, 166, 0, -2, 1, -4 in decreasing order. 166, 1, 0, -1, -2, -4 Sort 14, 7506, -2 in descending order. 7506, 14, -2 Sort -370, 4, -3
{ "pile_set_name": "DM Mathematics" }
31*v - 9 - 115 = 0. Is v != w? True Let z be 17*(-1)/(-2)*-2. Suppose 66*b + 1338 = 348. Is z smaller than b? True Let b be ((-10)/(-12))/(2/4). Let i = 24263 - 24269. Is i greater than or equal to b? False Let b be 2 - -3 - (524/40 + -8). Let m = -21 + 21. Suppose -i - 29 + 30 = m. Which is bigger: b or i? i Suppose 80*i + 24576 = 16*i. Which is smaller: -386 or i? -386 Let t = -3880 + 3876. Is t at most -51/20? True Suppose 2*n - 3*n + 5*l = 88, -286 = 4*n + 2*l. Let u = n - -76. Suppose 0 = u*m + 2*p - 94, 0 = -9*m + 6*m - 5*p + 91. Which is greater: m or 31? m Let w(u) = 6*u - 41. Let y(n) = 7*n - 41. Let a(p) = -5*w(p) + 4*y(p). Let b be a(16). Which is smaller: b or 11? b Let w(k) = -126*k - 120. Let i be w(-3). Is i < 258? False Let u be (0/(-126))/((-2)/(-5) + (-3)/(-5)). Which is greater: 1/6307 or u? 1/6307 Let x = 5 + -5. Let f(t) = t - 14. Let o be f(x). Let h = -559 + 546. Which is greater: o or h? h Suppose 140*l - 34*t + 102 = 139*l, 5*l = 5*t + 315. Suppose 52 = 4*u - r - 223, 2*u - 134 = 4*r. Is u at least as big as l? True Suppose -5*r = -5*w - 15, 2*w + 2*r = -30 + 36. Suppose -q + 10*u - 68 = 5*u, w = 2*q - 4*u + 166. Is q less than -466/5? False Let d = 631 - 1535. Let x be 4/(-18) - (-10 + d/18). Is x greater than 63? False Let i = -7307 + 7302. Is 0.095 smaller than i? False Let u = 113 + -62. Let k = -20 + u. Let b = k + -31. Which is smaller: -3/37 or b? -3/37 Let i = 91 + -89. Suppose 5*y + j - 184 = -j, i = j. Let q(a) = -3*a + 9. Let t be q(-9). Does t = y? True Let i = -0.09 - 2.91. Let b be 13697/15 - (-18)/(-135). Let o be b/(-297) + 2 + 1. Is o at most as big as i? False Let w = -18543 + 20362. Are 1821 and w non-equal? True Suppose 0 = -27*m + 22*m + 420. Suppose -m*s - 3 = -85*s. Suppose 4*h - 1 = -u - s, -u - 9 = -3*h. Which is smaller: u or -3? u Let c be 2*-1 - 3/(-15)*10. Suppose 73*f + m + 534 = 71*f, -m + 2 = c. Which is bigger: -0.1 or f? -0.1 Suppose 28*u = -8*u + 27108. Let l = u + -756. Is l > -26/11? False Let x be -15*((-40)/(-175) + (-12)/28). Suppose 15*k + 27 = -x. Which is greater: k or -18/19? -18/19 Let w = 176 - 184.1. Let o = -8.164 - w. Is o greater than -1? True Let f = 3.252 - 4.252. Which is smaller: f or -5565? -5565 Let i = -5830/1179 + 51/131. Is -4 greater than i? True Suppose -2*c - 8 = -2*d - 10, -4*d - 18 = 3*c. Let b be (5/65 - 3) + 2. Which is bigger: b or c? b Let k = 4293.471 + -4294. Which is greater: k or 1/4? 1/4 Let y = -88 - -57. Suppose 19*x - 17*x + 464 = 5*w, -280 = -3*w + 2*x. Suppose -68 = 2*j - 2*o, 13*j = 16*j - o + w. Which is greater: y or j? j Let a be -57 + -2 - (13 - 33). Let x = -25 - 13. Is x less than a? False Let i = 52 + -8. Let k = 45 - i. Are -0.17 and k non-equal? True Let c be (-9)/((-972)/8) + 0. Suppose 2*o - 3*o + 5 = 2*r, -5*r = 5*o. Suppose -2*q = -r*v - 2, -3*q + 3 = -2*v + 3*v. Which is greater: v or c? c Let y = 4641 + -4686. Which is greater: y or 4? 4 Let w be 0 + -7 - 80/(-10). Let n = 1693561/15 + -112824. Let v = 80 - n. Which is greater: w or v? w Let b = -1 - 1. Let w = -151 - -122. Let x be (w + 26)*(4/6 - 2). Is b smaller than x? True Let j be ((-100980)/28)/(-3) - 59/413. Is j != 1204? True Let y(t) = 502*t + 1323. Let s be y(-6). Is -1688 < s? False Let g(p) be the third derivative of p**5/60 - p**4/24 - 5*p**3 + 3*p**2 - 7. Let r be g(6). Let o be (30/(-42))/(4/(-7)). Is r greater than o? False Let o(w) = -w**2 + 64*w + 1. Let v be o(64). Let j = 4343915/554 - 7841. Is j <= v? True Let z(f) = 19 - 3*f**2 - 29*f**2 + 41*f + 7*f + 29*f**2. Let v be z(17). Are 2 and v unequal? True Suppose 3*m + 1711 = 8*v - 4*v, 0 = 5*m - 15. Which is smaller: v or 2585/6? v Let c be (-170)/7 + 7*(-16)/(-392). Suppose -2*m = -2*h - 3*m - 72, 5*h + 206 = 4*m. Let y = h + 14. Is y <= c? True Let x = -3/34 - -121/986. Suppose -4*h = -144 - 104. Let d = h + -61. Which is smaller: x or d? x Let h = -8309 + 8310. Is h at least 10/193? True Let v = 98399/762 + 51/254. Does v = 130? False Let u be (13 - (-23 + 43))*4/14. Let w be 1/10*56/(-4). Which is bigger: w or u? w Let s be (24/188210 + 0)*(-16740)/600. Let z = s + -4/1475. Which is greater: z or 0? 0 Let i(w) = -2*w + 1. Let q be i(3). Let s be 40/(-15)*(-30)/(-4). Are s and q non-equal? True Let c = 68 - 339/5. Let g = 0.04 + -0.11. Let m = g + 0.19. Which is smaller: c or m? m Let f be 42/(2*(-9)/12). Let i(y) = 13*y + 81. Let c be i(-6). Suppose -c*d - 6*r - 95 = -4*r, -3*d - 67 = -5*r. Which is smaller: f or d? d Suppose -12*x - 20*x - 2*x = -578. Which is smaller: x or -0.051? -0.051 Suppose 28*h = -3479 - 2289. Let j = -238 - h. Is -32 less than j? False Suppose 0 = -10*y + 13*y - 6. Suppose y*x + 229 = -183. Let r be 5/(-630)*x - (-4)/18. Are 2 and r unequal? True Let i be -9 + (-13)/(-13) - -160. Is i at least 170? False Let w = -9754 + 9675. Is w bigger than -15? False Let x = -50 + 86. Suppose -24*v = -19*v. Let m be 3 - (1 + 2) - v. Which is bigger: m or x? x Let k be (-4)/5*(-210)/(-28). Let v = -19/3 - k. Which is smaller: 40 or v? v Let f = -14922 + 14638. Which is smaller: -2552/9 or f? f Let q = 62 + -53. Let s = 11 - q. Let b(r) = -r**2 + r - 1. Let g be b(0). Which is greater: g or s? s Let t(w) = w**3 + 9*w**2 + 10*w - 6. Let q be t(-8). Let k be 6/q - 6695/(-35035). Is -1 smaller than k? True Let o(l) = -12*l + 164. Let m be o(14). Let t be ((-3)/16*m)/(18/116). Which is smaller: t or 4? 4 Let a = 0.1833 - 6.3833. Let v be (-18)/12*8/3. Which is bigger: v or a? v Let z be 245232/(-20556) - (-4 - (-56)/(-7)). Is 1 at least as big as z? True Let c = 287 - 288. Which is smaller: 473 or c? c Let x = 20585 - 20612. Which is smaller: x or 22? x Suppose 2*r - 5*i = -108, -r + i = -3*r - 120. Let d = 61 + r. Suppose -3*y + d*n = -107, -19 - 68 = -3*y - 3*n. Which is smaller: 31 or y? 31 Let n be (-488)/(-2)*7/14. Suppose -2*a + 242 = 4*z, -57*z = -52*z. Which is smaller: a or n? a Let x = 26202 - 26194. Which is smaller: 289/32 or x? x Let b be (-212)/(-288) + 27/(-36). Let p = 5 - 4. Which is smaller: b or p? b Suppose 3*g = 4*g + 2. Let i = 20785/7 + -119339/35. Let d = -441 - i. Which is greater: d or g? d Let m be 434/4 - 1/2. Suppose 5*v + 23 = m. Let p be (-24 - (-1148)/42)/(5/24). Which is smaller: v or p? p Let k = 43 - 42. Let t = 468697/289350 + 1/5787. Let p = 3/25 - t. Which is smaller: p or k? p Let f = -76.12 + 70.93. Do 0 and f have the same value? False Let y be 1 + -5 + 368/4. Let m = -82 + y. Does -1 = m? False Let i = -956 - -90. Which is smaller: 3 or i? i Suppose -4*u = -4*k + 60, 2*k = 2*u + 4*k + 10. Let l be (-18)/((-5)/(u/21)). Which is smaller: -1/4 or l? l Let q be (-2 + (-6195)/125)/((-164)/(-205)). Are q and -0.1 equal? False Let l = 8736 - 3642911/417. Is 2 less than l? False Let b = 239 - 271. Let z be b/(-23440)*((2 - -5) + -2). Which is bigger: 1 or z? 1 Let v = -131 - -131.2. Let p = v - 0. Let b = 3 - 3.1. Does b = p? False Suppose 19 = -2*l + 5*n, n - 11 = 4*l - 0. Let b be l/5 + (-172)/20. Let s be 49/30 + -1 + 3/b. Do s and -1 have different values? True Let z(o) = o + 8. Let n be z(-4). Let l be n/3 + 3 + (-18780)/4338. Which is smaller: 1 or l? l Suppose -2*n + 54 = -4*n. Let g = -172 - -149. Which is smaller: g or n? n Suppose -4*v - v = -135. Suppose -10*i = 22*i - 211 - 717. Do i and v have the same value? False Let v = 6581 - 6501. Is v less than or equal to 89? True Suppose z = 2*i + 1, 5 = 5*i - z + 3. Is 4/1893 at least as big as i? False Let h be (3 + -4)*-11 + -2. Let k = -12.9 + 13. Are h and k unequal? True Let k be (-435)/(-2) + 4 + 0 + 35/(-14). Let d = 79 - 81. Is d at most k? True Let a(x) = 17*x**3 + 4*x**2 - 5*x - 14. Let v be a(-2). Let m = -132 - v. Is m at least as big as -5? False Let p = 90 + -94. Let y be 112/(-22256)*p/14. Do -1 and y have different values? True Let y = -52079/791 + 461/7. Suppose -4*i + 5 = -s + 2, -5*s = i - 6. Let x = 0 + s. Which is greater: y or x? x Let q = -19 - -23. Let z be 0 + q/72*-3. Which is greater: z or 1/2? 1/2 Let m = 35.3 + -37. Let t = -1635.911 - -1637. Let j = -0.089 + t. Which is bigger: j or m? j Suppose -50*c - 56*c + 36162 = -147*c. Is c at most -884? False Let d = 692 - 856. Which is smaller: -1158/7 or d? -1158/7 Suppose 0 = -2*q - 2407 - 2311. Which is greater: -2360 or q? q Le
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 74 What is the cube root of 336624 to the nearest integer? 70 What is 405795 to the power of 1/2, to the nearest integer? 637 What is 2504170 to the power of 1/3, to the nearest integer? 136 What is the square root of 10201241 to the nearest integer? 3194 What is the tenth root of 1317730 to the nearest integer? 4 What is 637983 to the power of 1/8, to the nearest integer? 5 What is the square root of 8616482 to the nearest integer? 2935 What is the square root of 356755 to the nearest integer? 597 What is the seventh root of 271803 to the nearest integer? 6 What is the cube root of 7662551 to the nearest integer? 197 What is the third root of 264629 to the nearest integer? 64 What is 7246 to the power of 1/2, to the nearest integer? 85 What is 27895917 to the power of 1/2, to the nearest integer? 5282 What is 120578 to the power of 1/3, to the nearest integer? 49 What is the square root of 478180 to the nearest integer? 692 What is the fourth root of 2092180 to the nearest integer? 38 What is the square root of 11648677 to the nearest integer? 3413 What is the square root of 2542910 to the nearest integer? 1595 What is the third root of 1092930 to the nearest integer? 103 What is 917942 to the power of 1/7, to the nearest integer? 7 What is 1438694 to the power of 1/3, to the nearest integer? 113 What is 115106 to the power of 1/3, to the nearest integer? 49 What is 7336482 to the power of 1/2, to the nearest integer? 2709 What is 124153 to the power of 1/3, to the nearest integer? 50 What is 12332175 to the power of 1/3, to the nearest integer? 231 What is the eighth root of 122789 to the nearest integer? 4 What is 4507473 to the power of 1/2, to the nearest integer? 2123 What is the square root of 14438358 to the nearest integer? 3800 What is the ninth root of 24623807 to the nearest integer? 7 What is 4115931 to the power of 1/2, to the nearest integer? 2029 What is the square root of 1354900 to the nearest integer? 1164 What is 3741820 to the power of 1/2, to the nearest integer? 1934 What is 14736699 to the power of 1/9, to the nearest integer? 6 What is the cube root of 2322587 to the nearest integer? 132 What is 11125128 to the power of 1/6, to the nearest integer? 15 What is the cube root of 162023 to the nearest integer? 55 What is the tenth root of 6064009 to the nearest integer? 5 What is the fourth root of 385877 to the nearest integer? 25 What is 479574 to the power of 1/8, to the nearest integer? 5 What is 877016 to the power of 1/2, to the nearest integer? 936 What is 344022 to the power of 1/8, to the nearest integer? 5 What is the third root of 460513 to the nearest integer? 77 What is 9941290 to the power of 1/3, to the nearest integer? 215 What is the seventh root of 28125703 to the nearest integer? 12 What is the third root of 15541420 to the nearest integer? 250 What is 1222488 to the power of 1/9, to the nearest integer? 5 What is the fifth root of 100222 to the nearest integer? 10 What is the square root of 4953488 to the nearest integer? 2226 What is 73834 to the power of 1/2, to the nearest integer? 272 What is 17576430 to the power of 1/2, to the nearest integer? 4192 What is 20678310 to the power of 1/7, to the nearest integer? 11 What is 4612910 to the power of 1/7, to the nearest integer? 9 What is the square root of 1030474 to the nearest integer? 1015 What is the cube root of 460320 to the nearest integer? 77 What is the square root of 884967 to the nearest integer? 941 What is the tenth root of 204661 to the nearest integer? 3 What is 4270839 to the power of 1/10, to the nearest integer? 5 What is the third root of 826285 to the nearest integer? 94 What is the cube root of 2124180 to the nearest integer? 129 What is the third root of 312622 to the nearest integer? 68 What is 141454 to the power of 1/7, to the nearest integer? 5 What is the eighth root of 420703 to the nearest integer? 5 What is 226647 to the power of 1/2, to the nearest integer? 476 What is the third root of 2249256 to the nearest integer? 131 What is the square root of 2599462 to the nearest integer? 1612 What is the cube root of 293011 to the nearest integer? 66 What is 11492354 to the power of 1/2, to the nearest integer? 3390 What is the cube root of 1510 to the nearest integer? 11 What is 2784046 to the power of 1/9, to the nearest integer? 5 What is the fourth root of 66955 to the nearest integer? 16 What is 979517 to the power of 1/7, to the nearest integer? 7 What is 1103668 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 364674 to the nearest integer? 4 What is 1860680 to the power of 1/2, to the nearest integer? 1364 What is the square root of 110400 to the nearest integer? 332 What is the ninth root of 3282012 to the nearest integer? 5 What is the third root of 2929388 to the nearest integer? 143 What is the third root of 507432 to the nearest integer? 80 What is the square root of 10562717 to the nearest integer? 3250 What is 245521 to the power of 1/7, to the nearest integer? 6 What is 564789 to the power of 1/2, to the nearest integer? 752 What is 1273101 to the power of 1/3, to the nearest integer? 108 What is 1116343 to the power of 1/3, to the nearest integer? 104 What is the square root of 368915 to the nearest integer? 607 What is 273276 to the power of 1/9, to the nearest integer? 4 What is the cube root of 3069327 to the nearest integer? 145 What is the cube root of 2749499 to the nearest integer? 140 What is the cube root of 4210669 to the nearest integer? 161 What is 74047 to the power of 1/2, to the nearest integer? 272 What is 220196 to the power of 1/2, to the nearest integer? 469 What is the square root of 13229169 to the nearest integer? 3637 What is the square root of 3051358 to the nearest integer? 1747 What is 848087 to the power of 1/3, to the nearest integer? 95 What is the fifth root of 7787061 to the nearest integer? 24 What is the third root of 15936072 to the nearest integer? 252 What is the cube root of 207922 to the nearest integer? 59 What is 344967 to the power of 1/2, to the nearest integer? 587 What is the square root of 11475601 to the nearest integer? 3388 What is 899977 to the power of 1/8, to the nearest integer? 6 What is the fifth root of 3210111 to the nearest integer? 20 What is the square root of 489457 to the nearest integer? 700 What is the third root of 546854 to the nearest integer? 82 What is 1054607 to the power of 1/2, to the nearest integer? 1027 What is 1000994 to the power of 1/5, to the nearest integer? 16 What is the cube root of 167321 to the nearest integer? 55 What is 266046 to the power of 1/2, to the nearest integer? 516 What is the square root of 3479702 to the nearest integer? 1865 What is 442108 to the power of 1/10, to the nearest integer? 4 What is 556489 to the power of 1/2, to the nearest integer? 746 What is the cube root of 10435168 to the nearest integer? 219 What is the cube root of 1892794 to the nearest integer? 124 What is 202285 to the power of 1/3, to the nearest integer? 59 What is the third root of 4732863 to the nearest integer? 168 What is 441816 to the power of 1/10, to the nearest integer? 4 What is the cube root of 196965 to the nearest integer? 58 What is 3676637 to the power of 1/2, to the nearest integer? 1917 What is 2924439 to the power of 1/10, to the nearest integer? 4 What is the cube root of 18691335 to the nearest integer? 265 What is the square root of 2458436 to the nearest integer? 1568 What is the fifth root of 23897035 to the nearest integer? 30 What is the cube root of 3105880 to the nearest integer? 146 What is the third root of 11865039 to the nearest integer? 228 What is the seventh root of 12006242 to the nearest integer? 10 What is 4675696 to the power of 1/2, to the nearest integer? 2162 What is 348725 to the power of 1/3, to the nearest integer? 70 What is the cube root of 81166 to the nearest integer? 43 What is the square root of 733987 to the nearest integer? 857 What is 242097 to the power of 1/3, to the nearest integer? 62 What is the third root of 2722907 to the nearest integer? 140 What is 1544659 to the power of 1/2, to the nearest integer? 1243 What is the cube root o
{ "pile_set_name": "DM Mathematics" }
? 1/220 Four letters picked without replacement from {z: 5, i: 9}. Give prob of picking 4 i. 18/143 Three letters picked without replacement from {m: 8, j: 3}. What is prob of picking 1 j and 2 m? 28/55 Two letters picked without replacement from {p: 1, b: 5, m: 4, i: 3}. What is prob of picking 1 p and 1 i? 1/26 Four letters picked without replacement from {o: 6, s: 3, d: 3, p: 3, x: 1, m: 1}. What is prob of picking 1 s, 1 o, and 2 d? 27/1190 What is prob of picking 3 h when three letters picked without replacement from {b: 1, c: 1, m: 1, x: 3, h: 5, e: 1}? 1/22 Four letters picked without replacement from fffffpfffffpfffffp. Give prob of picking 3 f and 1 p. 91/204 Two letters picked without replacement from {y: 2, r: 1, t: 4, s: 2}. What is prob of picking 1 y and 1 t? 2/9 Three letters picked without replacement from juoosuvsusovj. Give prob of picking 1 v and 2 o. 3/143 Four letters picked without replacement from {z: 4, b: 8, e: 2}. What is prob of picking 1 b, 2 z, and 1 e? 96/1001 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {z: 1, t: 2, d: 2, l: 5, c: 2, o: 1}. 1/39 Four letters picked without replacement from {z: 1, t: 2, q: 2, i: 1, h: 1}. Give prob of picking 2 q and 2 t. 1/35 Two letters picked without replacement from vvvvvvvvvvavvvvvvvvv. What is prob of picking 2 v? 9/10 Two letters picked without replacement from phlbpplzhhlhhphglh. Give prob of picking 1 b and 1 g. 1/153 Four letters picked without replacement from qerrquqdrderrrq. What is prob of picking 1 u, 1 q, and 2 e? 4/1365 Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 9, s: 2}. 18/55 Four letters picked without replacement from xxaaxjjatawcjjwwwx. What is prob of picking 1 t and 3 x? 1/765 Four letters picked without replacement from {p: 1, t: 4, x: 1, c: 2, y: 2, a: 2}. What is prob of picking 1 x, 2 t, and 1 p? 2/165 Three letters picked without replacement from jhjmcjhmchcmjuwcj. Give prob of picking 2 j and 1 u. 1/68 Four letters picked without replacement from aueeexeeuauaauaa. Give prob of picking 3 e and 1 a. 3/91 Two letters picked without replacement from eppnl. What is prob of picking 2 p? 1/10 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {o: 1, j: 2, k: 3, n: 2, v: 3, f: 1}. 1/11 Calculate prob of picking 1 n and 1 h when two letters picked without replacement from jjnjjhhjjdn. 4/55 What is prob of picking 2 v when two letters picked without replacement from vvfidvdvdidfdiddvvv? 7/57 Calculate prob of picking 1 i and 1 w when two letters picked without replacement from ypfyfypifwyyfp. 1/91 What is prob of picking 2 r and 1 z when three letters picked without replacement from {e: 4, d: 8, a: 1, z: 4, r: 2}? 4/969 Calculate prob of picking 2 d and 1 b when three letters picked without replacement from xdndbnii. 1/56 Three letters picked without replacement from kwkkikrrk. What is prob of picking 1 r, 1 w, and 1 i? 1/42 Four letters picked without replacement from {v: 7, q: 6}. Give prob of picking 3 v and 1 q. 42/143 Two letters picked without replacement from {t: 14, u: 4}. What is prob of picking 2 u? 2/51 Calculate prob of picking 1 e and 3 r when four letters picked without replacement from krkkekrkkrkkkkkekk. 1/1530 Two letters picked without replacement from aogoogooaaooa. What is prob of picking 2 o? 7/26 Three letters picked without replacement from {j: 2, g: 1, i: 3, r: 4, k: 1}. What is prob of picking 1 g, 1 j, and 1 k? 2/165 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkk. 1 Calculate prob of picking 3 w when three letters picked without replacement from {k: 2, w: 11}. 15/26 Three letters picked without replacement from akaadadaaaddka. Give prob of picking 1 k and 2 a. 2/13 Two letters picked without replacement from zzezzezz. What is prob of picking 2 e? 1/28 Three letters picked without replacement from {f: 2, u: 2, s: 5, o: 2, e: 1, k: 2}. What is prob of picking 1 k and 2 f? 1/182 Four letters picked without replacement from vvbvbbbbbbb. What is prob of picking 3 b and 1 v? 28/55 Three letters picked without replacement from zzzzzzzyzzzvzzyzy. What is prob of picking 1 z and 2 y? 39/680 Two letters picked without replacement from cbbcbbc. Give prob of picking 1 c and 1 b. 4/7 What is prob of picking 3 u when three letters picked without replacement from {u: 7, g: 2}? 5/12 Three letters picked without replacement from {i: 7, l: 5}. Give prob of picking 3 l. 1/22 Calculate prob of picking 1 j, 1 k, and 1 t when three letters picked without replacement from jjtjjktttj. 1/6 What is prob of picking 1 v and 1 p when two letters picked without replacement from sgvggspsppvspzggg? 1/17 Two letters picked without replacement from seseeseo. What is prob of picking 1 o and 1 e? 1/7 What is prob of picking 1 n and 2 u when three letters picked without replacement from {n: 1, u: 2, b: 1}? 1/4 Three letters picked without replacement from sbsspsbbbspbbbsssb. What is prob of picking 1 s and 2 b? 14/51 Three letters picked without replacement from {k: 1, t: 1, e: 1, l: 1, f: 1}. What is prob of picking 1 e, 1 f, and 1 l? 1/10 Three letters picked without replacement from {m: 1, s: 1, v: 2, q: 1}. Give prob of picking 1 s, 1 m, and 1 q. 1/10 What is prob of picking 1 g and 3 s when four letters picked without replacement from {e: 4, j: 5, g: 6, s: 4, b: 1}? 8/1615 What is prob of picking 1 d, 1 b, and 2 c when four letters picked without replacement from bmhbccmdddbbdlhhbhhc? 4/323 Two letters picked without replacement from nirteid. Give prob of picking 2 d. 0 Three letters picked without replacement from mnmrnmmmrrbbmbmbrr. Give prob of picking 2 m and 1 b. 7/68 Four letters picked without replacement from {d: 4, r: 4, c: 3}. Give prob of picking 4 d. 1/330 Four letters picked without replacement from dzzdzdzdzzzddddzzd. What is prob of picking 4 z? 7/170 Calculate prob of picking 1 c, 1 t, and 1 w when three letters picked without replacement from czwwttzwcwtzc. 18/143 Calculate prob of picking 3 g when three letters picked without replacement from {v: 2, z: 2, w: 1, g: 3, x: 2, o: 2}. 1/220 Two letters picked without replacement from {s: 3, h: 8, p: 5}. What is prob of picking 2 h? 7/30 What is prob of picking 1 z and 1 r when two letters picked without replacement from zrpfdzrf? 1/7 Two letters picked without replacement from kpprkrrpkrk. Give prob of picking 2 k. 6/55 Calculate prob of picking 1 t, 1 v, and 2 g when four letters picked without replacement from {t: 2, g: 2, v: 2, b: 3}. 2/63 Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {d: 1, b: 9, j: 4, q: 2}. 1/560 What is prob of picking 2 b when two letters picked without replacement from {b: 2, o: 4, v: 3}? 1/36 What is prob of picking 2 z when two letters picked without replacement from {h: 1, s: 1, z: 2, f: 1, e: 1, m: 2}? 1/28 Three letters picked without replacement from bggbgbbvhbbhghv. Give prob of picking 1 h, 1 b, and 1 g. 72/455 Two letters picked without replacement from {r: 2, h: 2, x: 1, b: 1, p: 1}. Give prob of picking 1 x and 1 b. 1/21 What is prob of picking 2 m and 1 f when three letters picked without replacement from {f: 4, q: 4, m: 8}? 1/5 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {z: 1, p: 7, x: 5}. 5/78 Three letters picked without replacement from kckaccccacccccaaccac. What is prob of picking 2 c and 1 a? 13/38 Two letters picked without replacement from rhnet. Give prob of picking 1 h and 1 e. 1/10 Four letters picked without replacement from {u: 4, m: 1, n: 1, f: 2, a: 2}. Give prob of picking 2 f, 1 n, and 1 a. 1/105 What is prob of picking 1 y and 1 p when two letters picked without replacement from {j: 1, p: 2, i: 1, y: 1, t: 3, c: 3}? 2/55 What is prob of picking 1 k, 1 d, 1 z, and 1 w when four letters picked without replacement from {t: 1, c: 1, k: 1, d: 1, z: 2, w: 1}? 2/35 Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {y: 1, b: 2, l: 2, e: 4, o: 4, k: 1}. 2/91 Calculate prob of picking 1 h, 1 n, and 2 r when four letters picked without replacement from {c: 5, r: 6, h: 1,
{ "pile_set_name": "DM Mathematics" }
q + 32. Let k be a(c). Let j(m) = -10*m**2 - 3*m. What is j(k)? -34 Let z(n) = -n**3 + 10*n**2 - 2*n + 15. Suppose 4897 = 30*c - 4193. Suppose 23*f - c = -73. Calculate z(f). -5 Let a(p) = 23*p**2 + 27*p + 1. Let g(n) = 10*n**2 + 13*n + 1. Let u(v) = 3*a(v) - 7*g(v). Determine u(-3). 17 Let g(x) = 4*x - 10. Let b be -4*((-39)/6 - -6). Calculate g(b). -2 Let c(f) = -2*f**2 + 18*f - 27. Let w be c(7). Let l be (-8)/6 - (70/(-30) + w). Let z(d) = d - 1. Let y(b) = -6*b + 10. Let u(k) = y(k) + 5*z(k). What is u(l)? 5 Let z(n) = n. Suppose -7*x + 9*x - 2 = -4*f, 4*x + 6 = 2*f. Let q(v) = 56*v + 55. Let l be q(x). What is z(l)? -1 Let o(g) be the first derivative of g**3/3 - 33*g**2/2 - 28*g + 188. Calculate o(34). 6 Suppose 4*t - 2 = -5*f + 5, 5*t = -2*f - 21. Let x(p) = -20*p - 135. Determine x(t). 5 Suppose 0 = 2*n + q - 8, 2*q + 13 = 4*n + 5. Let a(z) be the third derivative of z**5/30 - z**4/12 + 2*z**3/3 + 3*z**2. Determine a(n). 16 Let n be ((-3)/(-3))/(-1)*3. Let b be ((-4)/n)/(8/(-36)). Let f(s) = 5 + s**3 + 3477*s**2 - 1732*s**2 - 1738*s**2 + 8*s. Determine f(b). -7 Let y(f) = 2*f. Let i(h) = -2*h**3 - 5*h**2 + 9*h - 6. Let j be i(3). Let o = -85 - j. Determine y(o). -14 Let r(y) = -38 - 40 - y**2 + 82 - 5*y. Suppose 10 = -5*f + 3*f. Let b be 5/((-140)/(-24))*(-2 + f). What is r(b)? -2 Let u(z) be the second derivative of -7*z**3/6 - 97*z**2/2 - 3277*z. Calculate u(-16). 15 Let b(o) = -3*o**3 - 15*o**2 + 7. Let c(t) = 4*t**3 + 23*t**2 - 11. Let s(d) = -d**2 - 7*d + 1. Let v be s(-6). Let f(g) = v*b(g) + 5*c(g). Determine f(10). -6 Let o be (6/(-2) - 2) + (-1 - 6/2). Let z(l) = -2*l - 15. What is z(o)? 3 Let n(s) = 8*s**2 - 7*s - 30. Let d(m) = 9*m**2 - 8*m - 28. Let c(b) = -6*d(b) + 7*n(b). Give c(0). -42 Let f(w) = w**2 - 4*w + 1. Let s(g) = -g**2 - 10*g - 2. Let n = 89 - 93. Let a be s(n). Let j = -19 + a. Determine f(j). -2 Suppose 5*v + 3*u - 25 = 0, -u = -2*v + 2*u - 11. Let j(y) = -6*y + 5 + 5*y**2 + 10*y - 6*y**v - 2 + 7*y. Calculate j(11). 3 Let d(l) = -l**3 + 13*l**2 + 24*l - 508. Let o be d(11). Let g(r) = 87*r + 173. Calculate g(o). -1 Let w(z) = -z**3 + 6*z**2 + 9*z + 5. Suppose 0 = i - j + 2, 5*i + 2*j + 10 = j. Let g be (462/99)/(i/(-3)). Calculate w(g). 19 Let r(o) = o**2 + 2*o - 7. Let t = -167 - -165. Let b(w) = -5*w**2 - 9*w + 28. Let u(j) = t*b(j) - 9*r(j). Calculate u(-5). 32 Let h(f) = -3*f - 22. Let i(c) = c**2 + 7*c - 3. Let q be i(-6). Let u be h(q). Let s(j) = j - 2. Let t(w) = -w + 1. Let y(g) = 4*s(g) + 3*t(g). What is y(u)? 0 Let c(t) be the second derivative of -t**5/20 - 19*t**4/12 - 19*t**3/6 - 7*t**2/2 - 2729*t. What is c(-18)? 11 Suppose 0 = -5*q + p - 5, -q - 2*p + 17 = 7. Let w(d) = 5*d + 3. Calculate w(q). 3 Let q = -2164 + 2162. Let l(a) = 3*a**2 + 5*a + 7. What is l(q)? 9 Let f(w) be the third derivative of w**6/120 + w**4/12 - 2*w**3/3 + 15*w**2. Suppose -18*r + 8 = -2*a - 16*r, 0 = -2*a - r + 4. Calculate f(a). -4 Let f(l) = 0*l - 2*l + 4*l. Let d = 96 + 9. Let x = 102 - d. Calculate f(x). -6 Let n(m) be the first derivative of 2*m + 1/3*m**3 - 33 - 3/2*m**2. Give n(2). 0 Let j = -132 + 126. Let m(b) = -3*b**2 - 15*b + 23. Let i be m(j). Let p(f) = -f**3 + 3*f**2 + 8*f - 3. Give p(i). -13 Suppose -7*d + 450 = -663. Let s = d + -161. Let v(c) = 3*c + 3. Determine v(s). -3 Let u(k) = -21*k + 3. Let q be u(-2). Suppose 4*d + 9 = q. Let g(o) be the second derivative of o**4/12 - 11*o**3/6 + 6*o**2 + o + 111. What is g(d)? -6 Let p be (3/(-2) + 0)*(-30 + 32). Suppose -8 = 2*w - 10. Let r(v) = -6*v + w + v + 4*v. Give r(p). 4 Let o(y) = y**2 - 7*y + 6. Let n = 2 - -12. Let l(v) = v**3 + 35*v**2 - 2*v - 65. Let k be l(-35). Suppose k*f + n = 7*f. What is o(f)? 6 Let h(f) be the second derivative of f**5/20 + 11*f**2/2 - 3*f. Suppose 9*z = -31*z + 48*z. Determine h(z). 11 Let f(j) be the first derivative of 5*j**2 - 2*j + 2747. Let x be (1 - (-3)/(-2))*-4. Give f(x). 18 Suppose 630*h = 634*h - s - 35, 5*s - 65 = -4*h. Let b(q) = -q**3 + 12*q**2 - 22*q - 10. Determine b(h). -30 Let r(j) = -5*j**2 + 7*j + 51. Let f be r(4). Let k(y) = -11*y + 13. Calculate k(f). 24 Let u(f) = -f**2 + 9*f - 2. Let x be u(6). Let c(s) be the first derivative of s**4/4 - 16*s**3/3 - s**2/2 + 8*s - 2487. Determine c(x). -8 Let r(f) be the third derivative of f**5/30 - f**4/6 - 6*f**3 - f**2 + 35*f. Let z be r(5). Let i(n) = -n**3 - 6*n**2 + 13. Calculate i(z). 13 Suppose -46*h = -57*h - 152 - 46. Let y(b) = 9*b + 169. Determine y(h). 7 Let h(t) = 175*t + 5946. Let u be h(-34). Let i(s) = 5*s - 5*s - 6 + 1 + 5*s. Calculate i(u). -25 Let x = -12972 - -12952. Let z(u) = u**3 + 21*u**2 + 24*u + 73. Give z(x). -7 Let j = -137 + 127. Let s(a) = a**2 + 6*a - 37. Let b be s(j). Let y(w) = 2*w + 10*w**2 + 197*w**b - 4*w**2 - 196*w**3 - 1. Give y(-6). -13 Let u(t) be the second derivative of -1/6*t**3 + 1/2*t**2 - 1/12*t**4 + 0 + t. Let x be 3 - ((-70)/(-5) - 9). Determine u(x). -1 Let q(g) be the third derivative of g**5/60 + g**4/24 - 16*g**3/3 + 17*g**2. Let u be q(5). Let r(d) = 3*d**2 - 2*d - 3. Give r(u). 13 Let q(b) = -7*b + 0*b**3 + 8 - 6*b**2 + 2*b**3 - b**3. Let o be -44 + (60 - 20) + 33*(-1)/(-3). Give q(o). 8 Let w(p) = -3*p - 131. Let z(t) = 97. Let f(j) = 5*w(j) + 6*z(j). Determine f(-5). 2 Let i(w) be the third derivative of 6*w**2 + 1 + 1/24*w**4 - 1/2*w**3 + 0*w. Determine i(7). 4 Let o be (-1)/5 - 13220/(-100). Let j(m) = -135 + 404 - 128 + m - o. Give j(-9). 0 Let i(f) be the second derivative of -f**5/20 - f**4/12 + f**3/2 + f**2/2 - 65*f - 133. Suppose -2*t + 2 = x - 2, 8 = -3*x - t. What is i(x)? 37 Let m(a) = a**2 - 5*a + 2. Let j = -306 + 307. Suppose 2*b + 2*b = 12. Suppose -j - b = -y. Calculate m(y). -2 Let t(g) = 3*g**2 - 1. Suppose -2 = 4*p + m + 5, 2*p + 7 = 3*m. Let u be 11/3 - p/(-3). Suppose -r - 4*x + 18 = 0, -r - u*r + 24 = 4*x. Calculate t(r). 11 Let x(s) be the third derivative of -1/6*s**3 - 20 + 0*s + 1/24*s**4 - s**2. What is x(9)? 8 Let j(n) = -n**2 - 14*n - 15. Let r = 143 - -96. Let g = r - 251. Calculate j(g). 9 Suppose -71 = -c - 4*q - 12, -3 = -q. Let t = 47 - c. Let p(y) = y**3 + 2 + t*y**3 - 7*y**2 + y**3 - y**3 + 5*y. What is p(6)? -4 Suppose -14*o - 5 = 51. Let z(l) = 18*l**2 - l + 9 - 4*l**2 + l**3 + 0 - 3*l**2 - 8*l**2. What is z(o)? -3 Let s(k) be the third derivative of -k**5/20 - k**4/6 + k**3/6 + 212*k**2 - 5*k. Give s(3). -38 Let r(g) = g**3 - g**2 + g + 1. Let i(m) = 12*m**3 - 5*m**2 + 5*m + 6. Let p(k) = -i(k) + 6*r(k). Suppose -8*y - 795 = -13*y. Let j = -158 + y. Calculate p(j). -6 Suppose 3*o = 6*o - 3. Let m be (o - (-1 - 1))/(38/38). Let b(y) = y**3 - 5*y**2 + 4*y - 1. Give b(m). -7 Let z(m) = m**3 + 52*m**2 - 58*m - 262. Let r be (9 + -22 + 66)/(-1). Give z(r). 3 Let i(j) = 2*j**2 + 5 + j + 5*j**2 - 10*j**2 - j**3 + 4*j**2. Let d be 3*1*12/2*-1. Let z = 18 + d. Calculate i(z). 5 Let p be ((-102)/85)/(4/(-10)). Suppose -118 = 2*m + 5*a - 39, -5*m = p*a + 169. Let v be 280/m + (-2)/8. Let t(u) = u**3 + 8*u**2 - 8*u + 4. What is t(v)? -5 Let s(w) = -w**2 + 21*w - 16. Let u be s(20). Let x(m) = -4 + u + m + 5 - 2 + 5. Give x(7). 15 Let s(z) be the second derivative of 1/12*z**4 + 18*z + 0 - 7*z**2 + 1/6*z**3. Calculate s(0). -14 Let u(l) be the second derivative of 5*l**3/6 + 3*l**2 - l. Suppose -64*j + 52*j + 37*j = -100. Give u(j). -14 Let o(i) = -i**3 - 5*i**2 + i - 2. Let k(s) = 3*s**3 + 15*s**2 - s + 13. Let z(f) = -k(f) - 2*o(f). Calculate z(-6). 33 Let p(q) be the first derivative of q**3/6 - 3*q**2 + 47*q - 53. Let n(u) be the first derivative of p(u). Calculate n(-4). -10 Let d(s) = -s**3 - 2*s**2 + 4*s - 1. Let j(c) = -c**2 - 12*c - 29. Let a be j(-4). Suppose a*q = -0*q + 5*o - 14, 4*q + 9 = -3*o. Calculate d(q). -4 Let u(q) = 83*q - 835. Let y be u(10). Let l(v) = -3*v**2 + 3*v - 2. Determine l(y). -92 Suppose -2*p = -3*h - 0 - 2, 3*h = 5*p + 4. Let x(f) = f**3 + 4*f**2 + f - 3. Let r be x(-3). Let t(n) = -25*n**3 + 5*n**2 - 1 + 33*n**3 - 7*n**r. What is t(h)? 11 Let l(x) be the first derivative of -x**4/4 + 2*x**3 - 3*x**2/2 - 4*x - 201003. Let j = -3 + 8. Give l(j). 6 Let m(s) = 315*s - 17. Let f(y) = -272*y + 15. Let b(q) = 7*f(q) + 6*m(q). Calculate b(-4). 59 Suppose r = -x + 3, -28*r + 5*x = -30*r - 12. Let j(b) be the second derivative of b**3/3 - 17*b**2/2
{ "pile_set_name": "DM Mathematics" }
common denominator of f and g. 84 What is the lowest common multiple of ((-102)/(-8))/((-339)/(-4972)) and 170? 1870 Let g(d) = d**3 + 10*d**2 - 11*d - 8. Let b be g(-11). Let k be (b/(-20))/((-1)/(-15)). What is the smallest common multiple of (4/k)/(11/66) and 6? 12 Let m = 17 - 5. Suppose -5*v = -3*v - m. What is the lowest common multiple of v and 10? 30 Let u(f) = -f**2 - 15*f - 26. Calculate the smallest common multiple of u(-11) and 21. 126 Suppose 6*a - 11 = 5*a + 2*f, 2*f = -4*a + 14. Calculate the least common multiple of 40 and a. 40 Let r = 97 + -61. Suppose 0*n - r = -3*u + 2*n, -5*u = -n - 53. Calculate the least common multiple of 4/(-1) + 2 + 13 and u. 110 Let k = 532 - 320. Calculate the least common multiple of k and 10. 1060 What is the common denominator of -48/95 and (301/(-5))/(-7) - 2? 95 Suppose 3*c - 17 = -g, 2*g - 34*c = -36*c + 22. What is the least common multiple of g and 15? 120 Let t = 132 + -44. Suppose 0 = 3*b + b - t. Let w(h) = -h**2 - 15*h - 8. Calculate the smallest common multiple of b and w(-13). 198 Let k be -2 - -5 - (2302 - (2 - 2)). Let q = 13715/6 + k. What is the common denominator of -76/3 and q? 6 Let o(g) = -g**2 + 13*g + 2. Suppose 73 - 9 = 8*i. Calculate the lowest common multiple of 12 and o(i). 84 Let q(i) = 3*i - 11. What is the least common multiple of 22 and q(17)? 440 Let h = -1962023639/812 + 2416293. Let n = 4/203 + h. What is the common denominator of n and -23/9? 36 Let w = 81338/27 + -3012. Find the common denominator of 157/30 and w. 270 Let d be 20/(-30) + (-1)/3. What is the lowest common multiple of d/(2/(-36)) + -4 + 4 and 12? 36 Calculate the common denominator of -9/4 and (-841)/(-116)*3/(-4). 16 Suppose 0 = v + 67 - 71. Suppose 3*i - m - 55 = 0, -5*i + 10*i - 77 = -2*m. Calculate the least common multiple of i and v. 68 What is the common denominator of -83/150 and (-251)/36 - -1 - 14/56? 450 Let p = -26 + 16. Let u = -20 - p. Find the common denominator of (u/(-15))/(16/(-510)) and -46. 4 Let c = -25219 - -655597/26. Find the common denominator of 77/144 and c. 1872 What is the smallest common multiple of 12 and (3466/12 - 1) + 30/180? 288 Let k = 117 + -114. Suppose v = -y + 2*v + 7, -5*v = -3*y + 27. Suppose -10 = a - k*l, 2*l + l = y*a + 4. What is the lowest common multiple of 20 and a? 20 Let r be (-16)/(-85764)*(-3)/2. Let j = 364517/71470 + r. Calculate the common denominator of j and 19/6. 30 What is the common denominator of (32/(-10) + 3)/((-16)/(-100)) and 53/8? 8 Suppose 6*s - s - 70 = 0. Let l = 3567 - 3557. Calculate the smallest common multiple of s and l. 70 Calculate the common denominator of 49/45 and 22/310 + 110/(-275). 1395 Let l = 2443/3 - 805. Let u = -89/9 + l. Calculate the common denominator of u and 41/10. 90 Let a be ((-56)/(-12))/(3/(-18)). Let k = a - -40. Calculate the smallest common multiple of 10 and k. 60 Let f = -958025/529 + 1811. Let k = f + 52395/2116. Find the common denominator of -47/8 and k. 8 Let q = -1491/4 + 370. Let w be (-199)/4 + 1/(-4). Find the common denominator of 323/(-10) + 10/w and q. 4 Let x = -149 - -169. What is the least common multiple of x and 7? 140 Calculate the lowest common multiple of 12/(-8) - (213/(-6) - 1) and 30. 210 Let s(o) = -o**3 - o + 2. What is the smallest common multiple of s(0) and ((-5)/(-30)*-2*4)/((-4)/6)? 2 Let f = -538/5 + 1063/10. What is the common denominator of 56/33 and f? 330 Let g = 115021/10 - 11492. Suppose 0 = -16*a + 7*a. What is the common denominator of 3 - (a - -2) - 37/(-2) and g? 10 Let w(l) = -l**3 + 23*l**2 - 14*l. Let o be w(15). Calculate the common denominator of -69/34 and 2/(-8)*o/105. 238 Let d = -6253/35 + 924/5. What is the common denominator of d and -36/1067? 7469 Calculate the common denominator of (-1)/2 + 8365/8820 and 101/72. 504 Let w = -10 + -11/2. What is the common denominator of w and 53/4*2/7? 14 Let r be (-2 - -10)*21/(-24)*-2. What is the lowest common multiple of 18 and (r/(2 + 5))/((-1)/(-4))? 72 Let i be (-8285)/30*((-64)/6)/(-4). Let o = i - -742. What is the common denominator of o and 22/15? 45 Suppose -3*g = -2*f - 460, 0 = -2*g - 11*f + 15*f + 296. Calculate the smallest common multiple of g and 27. 1404 Let y = 2092 - 8467/4. What is the common denominator of y and 1/(-5)*(-16125)/(-1200)? 16 Let s(z) = -7*z**3 + z**2 + 2*z - 10. Let g be s(9). Let c = g - -180365/36. Find the common denominator of c and 15/22. 396 Find the common denominator of -29/37 and (15/135)/(3/(783/(-6))). 222 Let t be -30*3*6/9. Let s = -873/4 - -234. Find the common denominator of 514/t + (-2)/(-5) and s. 12 Let t = -102919/6748 - -3/1687. Let j(y) = 10*y**2 - y - 7. Let m be j(3). Calculate the common denominator of 45/(-6)*104/m and t. 4 Let a(l) = l + 4. Let t(p) = -p + 6. Let c be t(-3). Suppose 3*s = -c + 21. What is the least common multiple of a(0) and s? 4 Calculate the smallest common multiple of (108/(-10))/(-3)*5 and (-3)/(-2*5/70). 126 Calculate the common denominator of 14/3 and (4/(-10))/((-80)/50 - -7). 27 Let x(g) = -g**3 - 9*g**2 + g + 21. What is the lowest common multiple of 21 and x(-10)? 777 Suppose -k + 88 = g, 21*g + k - 176 = 19*g. Suppose 3*x = -x + 80. Calculate the least common multiple of x and g. 440 Find the common denominator of 3/10 and (-138)/(-30) + -3 - (1 - 6). 10 Suppose 4*c = c + 18. Suppose 2*m = -5*z + z + 18, 0 = -2*z + 2*m + c. Calculate the least common multiple of 1/z + 243/36 and 1. 7 Suppose 0 = -3*w - 15, -w = -3*i + 82 + 67. Suppose i = 7*c + c. Calculate the smallest common multiple of 10 and c. 30 Let c = 683 + -584. Calculate the smallest common multiple of c and 21. 693 Suppose 0 = -4*x + 5*j + 100, 5*j = 5*x + 55 - 175. Calculate the smallest common multiple of x and 60. 60 Let a = 12/109 + -3571/1744. Calculate the common denominator of 97/6 and a. 48 Let a be (0 - 1)*382/(-2). Suppose 0 = -5*i - 141 + a. Calculate the lowest common multiple of 6 and i. 30 Let w = 52844/945 - 389/7. What is the common denominator of w and -119/90? 270 Let c(q) = -q**3 + 10*q**2 - 19*q + 2. Let g be c(8). Let v(a) = a**3 + 21*a**2 - 23*a - 16. What is the least common multiple of 36 and v(g)? 36 Suppose 313*m = 307*m + 54. What is the lowest common multiple of 147 and m? 441 Let m be 18 + 0/(-3) - 0. Let f = 24 - m. What is the common denominator of 103/6 and f/(-9)*258/(-36)? 18 Let u = 51/37 - 338/111. Find the common denominator of u and 22/103. 309 Let h(y) = -y**3 - 27*y**2 - 2*y - 49. What is the smallest common multiple of 7 and h(-27)? 35 Suppose -3*t + 108 = 3*t. Suppose -21*d = -t*d - 39. Calculate the lowest common multiple of 4 and d. 52 Let y = 421 - 333. Calculate the lowest common multiple of 14 and y. 616 Let h(v) = 12*v**2 + 4*v - 29. What is the lowest common multiple of h(-4) and 14? 294 Let o(a) = a**2 - 5. Suppose 0 = -s + 4*k + 13, 0*k - 28 = -4*s + 4*k. What is the smallest common multiple of o(s) and 22? 220 Let n = 1519/57 + 103313/570. Let k = 214 - n. Let j = -7/167 + 4878/835. Find the common denominator of j and k. 10 Suppose t = -2*b + 2386, -4*b + 6*b - 2386 = t. Let n = -13159/11 + b. What is the common denominator of n and -67/18? 198 Find the common denominator of (10/3)/(25/(6750/336)) and 29/35. 140 Suppose 5*o + 4*d - 1006 = 0, 2*d - 214 = -o - 2*d. Calculate the common denominator of 77/15 and (-375)/o - (1 + (-3)/6). 165 Suppose 2*g + 108 = 8*g. Let r = -11 - -18. What is the lowest common multiple of (-2)/r - 174/(-21) and g? 72 Let b(k) = 2*k**2 - k - 3. Let v be b(-1). Calculate the common denominator of -69/2 and ((-1144)/(-144) - 7) + (v - 3). 18 Let m = 43537 + -4527919/104. Calculate the common denominator of m and -97/156. 312 Let s be 42/(-5) - (-4)/10. Let c = -9 - s. What is the common denominator of (c/(-5))/(8/82) and 47/8? 40 Let z be 10/40 + 38/8. Suppose -107 = -0*y + 2*y + z*t, 0 = 5*y + 5*t + 230. What is the common denominator of y and -17/27? 27 Suppose 5*u - t - 9 = 0, 5*u - 7 = 4*u - 5*t. What is the lowest common multiple of u and 38? 38 Let v = 38 + 42. Calculate the common denominator of ((-36)/(-16))/((-42)/v) and 7/(-15)*(-27)/(-18)*-13. 70 Let u(d) = 4*d - 77. What is the least common multiple of 32 and u(20)? 96 Let m = 2/1613 + 30615/25808. Let y = 3857/1780
{ "pile_set_name": "DM Mathematics" }
Suppose 4*t = -10 + 14, 4*s + 4*t = 20. Solve s*p - 8*p - 13 = -k, 5*p + 13 = -2*k for p. -3 Let q(l) = 2*l**3 + 5*l - 5. Let j be q(2). Let g = -19 + j. Solve -g*c = 4*y + 12 - 2, c + 5 = -4*y for c. -5 Suppose -3*a = 4*r + 2*a - 4, -2*r = 3*a. Solve 3*s + 4*j + r = j, 4*s = -2*j - 8 for s. -2 Suppose 0 = -2*j + a + 31, 2 = -2*j + j - 3*a. Let w = 15 - j. Solve -4*p + 18 = -4*l + w*l, -6 = -l - p for l. 1 Suppose x + 3*l - 33 = 0, 2*x - 45 - 17 = -5*l. Suppose -4*j + 107 = 3*v, v = -2*j + 30 + x. Solve -4*h = -5*r + j, 3 = -5*h - r - 4 for h. -2 Let m(n) = n**3 - 4*n**2 + 7. Let c be m(3). Let w be (7/14)/(c/(-20)). Solve -w*x = z - 22, 2*x = -0*x - 3*z + 14 for x. 4 Suppose f + c - 46 = 0, 2*c + 216 = 5*f - 49. Solve 3*g = -5*m + 16 - f, 0 = -5*m + g - 15 for m. -4 Let h be (-11)/(-3 - -2)*1. Solve 0 = 2*v + 6, 4*c + h = -v - 0*v for c. -2 Let p be 30/8 + 1 - (-1)/4. Solve -p*b - 13 = n, 0*b - 4*b - 3*n = 6 for b. -3 Let g be 2/((-2)/93*-3). Let t = g + -18. Let o(q) = -3*q + 11. Let v be o(3). Solve 3*i + 2 = 2*x - 3, 5*i = -v*x + t for i. 1 Let s(p) = -p**3 - p**2 + 2*p + 4. Let y be s(0). Suppose -3*k - h + 13 = 0, y*k - h - 20 = -5. Solve -5*x - 4*b = -17, 5*x + 2*b - 17 = k for x. 5 Let j = -199 - -199. Solve -5*r + 7 = -r - 5*s, -4*r + 4*s + 8 = j for r. 3 Suppose 6*t = t. Suppose -v - 4*d - 1 = -10, 5*v - 2*d - 45 = t. Let l be 2 + (4 - v) - -6. Solve l*n = 2*g - 14, 2*g = -3*n + n + 4 for n. -2 Let r(s) = s**2 - 3*s + 6. Let g = -21 + 24. Let n be r(g). Solve -1 = -2*j - 5*p - 7, n = -j - 4*p for j. 2 Suppose -6*w + 20 = 2. Let q be 6/10*10/w. Solve -4*i = -3*s - 8, -4*s = 3*i - q - 4 for i. 2 Let y(q) = q**2 + 3*q - 17. Let x be y(-7). Suppose -3*n + x = -1. Solve -4*b - n*t = 0, 0 = 7*b - 2*b - 5*t - 30 for b. 3 Suppose 0 = z - 22 - 1. Let r = z + -11. Let p = r - 9. Solve 0 = -k - p*b + 7, 0 = 4*k + 4*b - 1 - 3 for k. -2 Let j = -3 - -3. Suppose -3*n + 10*n - 35 = j. Solve -n*h - 37 = 3*y, 0 = -3*h - 0*y - 4*y - 31 for h. -5 Suppose -5*r + 7 = -13. Let u be 22 - 1/(2/r). Solve 3*f - 2*t = u, 4*t + 9 = -2*f + 1 for f. 4 Suppose 0 = -2*n, 5*d - 5*n - 16 = 29. Solve 15 = -t - 4*f, -f + d = 5*t - 2*f for t. 1 Suppose 8*u - 4*u - 19 = -l, l - u - 9 = 0. Solve -5*c + 20 = -3*c + 5*p, c + 3*p - l = 0 for c. 5 Suppose -x - 4 = d, x = -3*d - 2 - 4. Let i be (d/3)/((-1)/9). Solve 2*f + 0*z + z = 1, -f - i = 4*z for f. 1 Let j(t) = -7*t + 1. Let o be j(-1). Let n be 9/6*(-4 + o). Suppose -n = -2*y - 4. Solve 2*b = -4*z + 2, b - y = -3*z + 2 for b. -3 Let i = 1333 - 1328. Solve 0 = 4*z - r - 13, 3*z = 5*r + 9 + i for z. 3 Let r = 114 - 109. Solve -r*k = -c - 19, 5*k + 3*c - 21 = 2*c for k. 4 Let w(a) = -a**3 - 4*a**2 - 4*a + 1. Let r be w(-3). Suppose 0 = r*t - 2*t - 10. Suppose 0 = -t*i + 41 + 59. Solve f = 4*z + 5*f + 16, i = -5*f for z. 0 Let p = -659 + 666. Solve -x - y + 4*y = -p, -5*x - 22 = 4*y for x. -2 Let s be (39/12)/((-3)/12). Let j = s - -10. Let b be j/(1 + 2) - -3. Solve -b*f = -3*l + 10 + 3, -23 = -5*l + 4*f for l. 3 Let x be ((-16)/(-20))/(1/5). Suppose 9*h - 48 = 5*h. Solve 2*p = 4*f + h, 0*p = -4*f - x*p for f. -2 Let q(p) = 10*p - 228. Let c be q(23). Let j = 12 + -8. Suppose j*l = -16, 0 = f + 4*l + l + 19. Solve 0 = -4*v + x - f - 11, c*v + 6 = -x for v. -3 Let w = -25 + 30. Suppose 2*t = 2*h - 0*t - 2, -11 = -w*h + 3*t. Solve 2*o + m = 3*o + h, -3*o - 13 = -4*m for o. -3 Suppose 2*j + 8 = 0, j + 8 = 5*x - 4*x. Suppose -x*p = -6*p. Suppose p*k - 4*k + 16 = 0. Solve 3*i = 3*f, -4*f - f - 18 = k*i for f. -2 Suppose 4*o - 4*y = 128, 4*o - 3*y - 117 = 8. Suppose 5*q - r + 4 - 125 = 0, o = q - 5*r. Solve -q = -3*m - 3*i, 0 = -3*m - m + i + 17 for m. 5 Let n(f) = 10*f + 62. Let r be n(-6). Solve w + 0 = -1, 1 = l - r*w for l. -1 Let l be 270/45*(-2)/(-6). Solve f + 2*f = l*m - 10, -m + 15 = -4*f for m. -1 Let r(s) = -s**3 - 11*s**2 - 27*s + 7. Let f be r(-7). Solve 2*c = -2*l - c - 13, f = 4*c + 4 for l. -5 Suppose -83 - 61 = -9*x. Solve z + 7 = -h + 1, -x = 4*z for h. -2 Let s(p) = -4*p**3 - p - 1. Let m be s(-1). Suppose a = -m, 2*l - 2*a = 3*a + 26. Suppose l*h - 18 = -6. Solve -5*i + h*x + 24 = 65, 0 = 5*i + x + 21 for i. -5 Let l(q) = -3*q + 38. Let y be l(11). Let z(v) = -v**2 + 3*v + 13. Let u be z(y). Solve -w - u*r = -12, 0*w - 2*w - 3*r = -15 for w. 3 Let r(y) = -2*y. Let v be r(0). Let k = 1 - v. Let t be ((-6)/4)/(k/(-2)). Solve -5*c + 2 + 5 = t*s, s + 5*c = -1 for s. 4 Suppose -k + 35 - 10 = r, 102 = 4*k + 5*r. Suppose k = 3*n + g, 2*n - g = -0*n + 7. Suppose 0 = -n*f + f + 10. Solve 3*j + 5*d = d - 18, 0 = -j - f*d - 8 for j. -2 Let i(j) = -j**2 - 16*j - 17. Let s be i(-11). Let x = 41 - s. Let p(v) = v - 7. Let u be p(7). Solve x*a + 13 = -u*a - 2*b, -a - 1 = -b for a. -3 Suppose -6*r + 42 = 306. Let m be -2 - (-32)/20 - r/10. Solve m = 4*c, 2*c - 2 = 3*i + 6 for i. -2 Suppose -6*x - 30 = -8*x - 2*v, -10 = -2*v. Let l(m) = m**3 - 4*m**2 - 3*m - 6. Let r be l(5). Solve 2*a - r*u = -0*a - x, 5*a + 4*u - 3 = 0 for a. -1 Suppose 62*j = 55*j + 154. Solve 5*s - 2*u + 35 = 0, 4*u + j - 57 = 3*s for s. -5 Suppose -5*y + 0*y = 0. Suppose -4*k = b - 10, -b - 5*k + 13 - 1 = y. Let a be (8/b + -4)/2. Solve a = u - h + 8, h - 21 + 1 = 4*u for u. -4 Suppose 3*k - 28 = -k. Let i(q) = -q**2 + 7*q + 2. Let x be i(k). Suppose -x*y = y - 6. Solve -3 = -3*t + 4*v, 3*t - 3 = 3*v - y*v for t. 1 Let f(g) be the second derivative of -5*g**3/6 - 37*g**2/2 + 11*g. Let b be f(-11). Suppose 2*r = 4*r. Solve -5*w = 5*x + 30, -4*x + r*x - b = w for x. -4 Let t = 1 - -4. Let m(y) = 7*y**2 + 1. Let r be m(-1). Suppose 25*k - 27*k = -r. Solve -2*w = i, 2*i - t*i = -k*w for i. 0 Let g(a) = -a**3 - 4*a**2 + 6*a + 8. Let f be g(-5). Solve -5*x = 4*v + 1 + 5, f*v = -12 for x. 2 Let b = 56 + -53. Suppose f - b*z = -z - 8, 0 = 4*f - 4*z + 12. Solve -f*o - 6 = 4*v, 0 = -5*v - 10 - 10 for o. 5 Let z = -235 - -237. Solve 5*b = 4*d - 21, z = -2*d + b + 5 for d. -1 Suppose -214 = -51*s - 56*s. Solve -s*f = -3*u - 23, -f + 2*u = u - 9 for f. 4 Let z(v) = -v**3 + 9*v**2 - 8*v - 5. Let p be z(7). Suppose 121 - p = -3*j. Let m be (-6)/21 + (-456)/j. Solve 0*t = -5*t + 3*c + 9, m = 2*t + 5*c for t. 3 Let u(d) = -d**3 - 4*d**2 + 4*d - 2. Let f = 12 - 17. Let s be u(f). Suppose -2*p + 10 = -3*p - s*x, 2*x + 18 = 5*p. Solve 0 = k - p*t + 8, -t = -6 + 3 for k. -2 Let w = 195 - 191. Solve -5*d + d + 2*y = -4, 8 = -w*y for d. 0 Let n be (-9)/(-2) - (-5 + 4)/(-2). Suppose -28 = 4*u - 5*h, 2*h + 0 = -5*u - 2. Let v be 2 - ((6 - 3) + u). Solve -t = -f + v, -6 - n = 2*t for f. -4 Suppose -3*r = -3, 4*r = -2*k - r + 3. Let a(w) = 4*w**3 + 1. Let t be a(k). Let s = t + 8. Solve v - 3*v = s*y, 0 = -v + 3*y for v. 0 Let h = -7 - -19. Suppose y = -4*o + 9, -2*y + 31 = -4*o - o. Suppose 5*k - 4*s - 20 = 0, 0 = -2*k + 5*s + y + h. Solve 9 = 3*p - 3*l, -p = -2*l - k - 5 for p. 1 Suppose 0 = 4*f + 2*l - 8, -7*l = -11*l. Solve 5 - 6 = -2*t + 5*j, f*t + 4*j = 10 for t. 3 Suppose 0 = 155*d - 159*d + 96. Solve 0 = 5*s - 4*k, 0 = -0*s - s - 4*k - d for s. -4 Let v = 54 + -52. Solve 0 = -4*b + 3*a - 18, 3 = -b - v*a + 4 for b. -3 Let d = -1139 - -1147. Solve 0 = -3*h - 4*f + 17, -h - d*f = -6*f - 7 for h. 3 Let z(y) = y**2 + 6*y + 16. Let g be z(-6). Solve s - 21 = -20*t + g*t, 3*s - 19 = -t for t. 4 Let f = 3 - 1. Let d be (-3)/(-2) - (-105)/(-30). Let g = d - -26. Solve -4*i + g = f*y, -3*y - 8 = -5*i - 0*y for i. 4 Suppose -2*v + 6*m - m = -1, v - 1 = 2*m. Solve 5*l = v*h, h - 3*l = -0*l - 4 for h. 5 Suppose -x - 5*n - 34 = 0, -40*x - 3*n - 36 = -42*x. Suppose -5*k - 2 + 17 = 0. Solve 17 = 2*j + 3*g, -x = k*j - 4*g + 11 for j. 1 Suppose -4*g + 0*g = n - 91, 0 = -4*g + n + 93. Solve -5*x + 2*j - g = 6*j, -4*j = 8 for x. -3 Suppose i + 5*w + 15 = 0, 4*w + 5 + 1 = -2*i. Solve i*s = -0*s - 5*z + 10, 3*s = -z + 6 for s. 2 Suppose 16 - 6 = 5*o. Let f(s) = 2*s**2 + s - 6. Let n be f(-3). Let u = 398 + -395. Solve 4*a = u*g - n, a + o*g - 6 = 4*a for a. 0 Let j be ((-30)/(-12))/(1/2). Suppose -j*d + 3*a = a, 0 = 2*d - 3*a + 11. Let y = 333 + -325. Solve i - 22 = -3*i + 5*w, -4*i = d*w - y for i. 3 Suppose n = -21*f + 22*f + 9, -4*f - 23 = -3*n. Solve 0*w - 3*s - 17 = w, -w - n = 2*s for w. -5 Let o be -1*10/(-8) - 2/8. Let y = 4 + o. Solve 2*q = y*u - 35, 0*u - u = q for u. 5 Let l b
{ "pile_set_name": "DM Mathematics" }
5. Let i = 1619/20 + r. Let l = -59/60 + i. Which is the biggest value? (a) l (b) -1/9 (c) -3/5 b Let s = -205.7 + 201.7. Let m = -18 + 29. Which is the third biggest value? (a) m (b) 1/6 (c) s c Let f = 19.8 + 22.2. Which is the second smallest value? (a) 0 (b) -4 (c) -2 (d) f c Let d = -2 + 2. Let o = -8.14 + 7.14. What is the second biggest value in d, -2/11, o? -2/11 Let l = -0.31 - -0.93. Let i = 18 + -18.32. Let w = l + i. Which is the biggest value? (a) -0.21 (b) 0.4 (c) w b Let y = -4 + 4.03. Let h = -0.27 - y. Let t = 1018 - 1018.2. Which is the third biggest value? (a) h (b) 3/4 (c) t a Suppose 0 = -35*i - 9 + 45 - 1. Let y = -42.06 + 0.06. What is the third smallest value in -2, i, y? i Let t = 793 - 792. What is the third biggest value in t, 0, 21, 0.1? 0.1 Suppose 32 = 5*a + 2*g, 0*g + g + 17 = 3*a. Let r be 10*(-20)/72 + a/(-27). Let x = 0 + -0.1. What is the third smallest value in x, -2/5, r? x Let r be 11 + -4 - ((-242)/(-4))/11. What is the second smallest value in 1, -24, r, -4/9? -4/9 Let n be 128/(-1024) + -37*(-1)/(-24). Which is the second biggest value? (a) n (b) -4 (c) 0.1 a Suppose 2*l - 5*s + 19 = 0, 0 = 3*l - 3*s - 2 + 8. Suppose 2*j = l*j + 4. Let z(b) = -12*b - 87. Let h be z(-7). What is the third biggest value in 0.4, j, h? j Let y(o) = 8*o - 232. Let g be y(30). Which is the fourth smallest value? (a) 5 (b) g (c) -1 (d) -4/5 b Let k = 740 - 740.2. What is the second smallest value in 0.5, 7, k? 0.5 Let c = -9 - -4. Let v(f) = f**3 + 4*f**2 + 5*f - 3. Let j be v(5). Let a = j + -3213/13. What is the second smallest value in a, c, -8? c Suppose -2*d = d - 69. Let m = 45/2 - d. Let j = 329.7 - 330. What is the second smallest value in j, m, 1? j Suppose 0 = 4*j - 35 - 53. Suppose 0 = -5*m + 22 + 13. Suppose j = 3*l + m. What is the third biggest value in l, 2, 0.1? 0.1 Suppose u + 2 = -0*u. Which is the fourth biggest value? (a) 0.12 (b) u (c) 3/4 (d) 5 b Let g = 78 + -75. What is the third smallest value in -2.2, -2/7, 0.3, g? 0.3 Let h = 100.93 + -95.867. Let s = h - 0.063. Which is the second biggest value? (a) -2/13 (b) 2 (c) s (d) -0.5 b Let i = 17 + -16.91. Let r = 2.43 - 2.03. What is the third biggest value in 0.3, i, r? i Let h = 0.6 - 0.55. Let p = 24 + -24.4. What is the second smallest value in 0, h, p, 4? 0 Let m(q) = -2*q**3 - 9*q**2 - 16*q - 26. Let p be m(-3). Let g = -12 + 11.9. Which is the smallest value? (a) 1 (b) 0.5 (c) g (d) p d Let i = -105 + 733/7. Let r = 0.054 - 0.454. What is the second biggest value in r, 7, i? i Let o = 1.021 + -0.721. What is the biggest value in o, -3, -2, 10.8? 10.8 Let v = 27 - 26.5. Let g = -6.85 + 6.8. What is the second smallest value in v, 4, g, -2? g Let h = 2 + -2. Suppose -4*f + 1 - 17 = h. Which is the third biggest value? (a) -2 (b) f (c) -1/6 b Let j = 0.1839 - 0.1639. Which is the second smallest value? (a) 5 (b) -0.02 (c) j c Let q = 28 + -30. Let d be (-12)/10*(-10)/q. What is the third smallest value in 0.2, 3, d? 3 Let i be 0 + -1 - (-156)/132. Which is the smallest value? (a) -0.2 (b) i (c) 4 a Let y be -2 - (3 - 94/5). Let x = y + -14. Let z = -0.05 + 1.05. Which is the third smallest value? (a) z (b) -0.5 (c) x a Let l be (-80)/6*(-6)/(-4). Let c be l/150*10/12. What is the second smallest value in -0.5, -3/5, c? -0.5 Let w = 20 + -15. Suppose 3*o - w*x + 7 = 1, 4*o + 8 = -4*x. What is the third smallest value in -5, 1/5, o? 1/5 Let m be 24/18*2/(-4). Let p = 0.41 + -5.41. Which is the third biggest value? (a) p (b) m (c) -2 a Let w = 81 + -86. Let t = -0.01 + -0.14. What is the second smallest value in t, w, 0.5? t Let n = -21/26 + 4/13. Let s = 3306 + -3305. Which is the smallest value? (a) s (b) n (c) -1/7 b Let o be ((-1)/((-2)/4))/14. Let y = 3.8 + -3.754. Let j = y - -0.354. What is the third smallest value in j, o, -2? j Let f = 7 + -7. Let j = -20 - -17. Which is the second smallest value? (a) 17 (b) f (c) j b Let v be ((-15)/(-20))/((-2)/(-8)). Suppose -v*b = -2*f - 21, -f = -3*f - 2*b - 6. Let p be (-22)/6 + (-4)/f. What is the biggest value in -1.2, p, 3? 3 Let y = 2.8 - 3. Let q = -0.3 - y. Let t = -14 + 13.7. Which is the third smallest value? (a) 4/7 (b) q (c) t a Let y = 27.7 - 3.7. Let s = y - 29. Which is the second biggest value? (a) s (b) 0.5 (c) 5 (d) -0.06 b Let g = -218 + 217.778. Let r = 0.122 + g. Which is the second smallest value? (a) r (b) -4 (c) -2/65 a Let r = -0.0063 + -0.0427. What is the smallest value in 0.3, r, 5? r Let i = 9 + 11. Let x be 4/2 + (-48)/i. Which is the biggest value? (a) -5 (b) 5 (c) x b Let z = -1.188 + 0.788. What is the third biggest value in 0, z, -3, -20? -3 Let h be (-2)/(-8)*8/(3 - 5). Let j = 1.8 + -1.9. Which is the biggest value? (a) j (b) 0.3 (c) h (d) -1/3 b Suppose 0*x = -2*m - 2*x + 20, -x + 30 = 5*m. Let n = -0.16 + 0.2. Let u = n - 0.34. Which is the second smallest value? (a) -4 (b) u (c) m b Suppose -37*y + 175 = -32*y. What is the third smallest value in 2, y, 2/17? y Suppose -27 + 27 = 7*j. Let k = -14 - -15.7. Which is the third biggest value? (a) j (b) k (c) -1 c Let m(y) = -3*y + 14. Let u be m(4). Suppose 2*q + 3*o = 13, -3*o - 14 = -3*q - u. Which is the second biggest value? (a) -5 (b) q (c) -3/4 c Let c(s) = -s**2 - 16*s + 5. Let g be c(-11). Let h be 6/(-45) - (-98)/g. What is the second biggest value in h, 0.1, 0.3? 0.3 Let k = 0.108 + 47.892. Let u = k + -58.01. Let p = 10 + u. Which is the third biggest value? (a) 1/2 (b) 1/5 (c) p c Let b = -29.6 + 30. What is the biggest value in b, 0.2, -4/7? b Suppose -y = -a - 4, -3*y = y - 3*a - 17. Suppose 10*u - 30 = y*u. Let q be 64/78 - 4/u. What is the second smallest value in -3, 4/7, q? q Let j(z) = -z - 9. Let h be j(-4). Let q be 10/(-4) + h + 11/2. Which is the second biggest value? (a) -8 (b) 0.4 (c) 1 (d) q b Let n = 135/2 - 66. Let z = -123 - -142. Let w = z - 23. Which is the second biggest value? (a) w (b) n (c) -1 c Let u = 2 + -3. Let d be (-20)/(-30) - (-1)/(-6). What is the second smallest value in d, u, -5? u Let j = 1522.6 + -1334. Let l = j + -189. Let g = 2 - 3. Which is the third biggest value? (a) l (b) -3 (c) g b Let s = -0.02 - 0.01. Let o be ((-9)/45)/(35/(-10) + 4). What is the third smallest value in o, s, -3/7? s Let a be 0 - 5 - -3 - 128/(-56). What is the biggest value in -3, 29, a? 29 Let t be 6/8*(-4)/6. Let y = -40747/5 + 8150. What is the second biggest value in t, 0.1, y, 5? y Let m = -0.9 - -5.9. Let f = m + -2. Which is the third smallest value? (a) -7 (b) f (c) -3/8 (d) 4 b Let z = -23.91 + -1.09. Let s = z + 25.3. Which is the third biggest value? (a) -2/7 (b) -2/21 (c) s a Suppose 0 = 7*r - 9*r + 4. Suppose 0 = 3*o - 5*z + 6, -z = -r*z. What is the smallest value in o, -4, 0.4? -4 Suppose -3*m = 39 + 87. Let g be m/(-105) - 2/30. Which is the third smallest value? (a) 27 (b) g (c) 2/3 a Let q = -104 - -522/5. Suppose 2*i = -3*i - 30. Let g be (-62)/(-12) + 1/i. Which is the second biggest value? (a) -2 (b) q (c) g b Let k be (224/72)/(-14)*1/((-1)/(-1)). Let p be 842/(-22) + (-6)/3. Let x = -40 - p. Which is the second smallest value? (a) 5 (b) k (c) x c Let o = -12.16 - -13. Let q = o - -0.26. Let s = -1.5 + q. What is the second biggest value in s, 1/4, 4? 1/4 Let x be -3 + 0/(-3) + 6 - 1. Suppose -m - 20 = 4*m. What is the second biggest value in 4, m, x? x Let w = 4/375 - 211/250. Which is the smallest value? (a) 3 (b) w (c) 4 b Suppose -54*w = -50*w + 32. Let t be (18/w)/((-72)/(-12)). Which is the third smallest value? (a) -0.1 (b) t (c) 2/5 c Let y = -0.01 - 0.49. Let v = -0.05 + -2.95. Which is the smallest value? (a) 1/3 (b) v (c) y b Let f = 144 + -123. Let t be f/35 - (-14)/(-40). Which is the fourth biggest value? (a) -1/5 (b) -0.4 (c) -0.3 (d) t b Suppose 6 = -3*k - 27. Let j = k + -5. Which is the smallest value? (a) 1 (b) -2/5 (c) j c Let k = -2.0228 + 0.0228. What is the second smallest value in k, 0, -6, -4? -4 Suppose 0 = -t + 3*t - 4*u + 8, 2*u - 16 = -2*t. What is the third biggest value in -7, -0.6, t? -7 Let r = -0.9 - -1. Let f = -0.6 + r. Let x = -329.7 - -330. What is the second biggest value in x, f, 5? x Let s = -7.8902 - 0.1098.
{ "pile_set_name": "DM Mathematics" }
prob of sequence bp? 1/19 Calculate prob of sequence orm when three letters picked without replacement from {m: 3, b: 1, r: 5, k: 3, o: 3}. 3/182 Two letters picked without replacement from ozoooozozzoz. Give prob of sequence oz. 35/132 Four letters picked without replacement from {m: 1, w: 1, l: 5, v: 4, a: 1, o: 5}. What is prob of sequence vvlm? 1/952 Calculate prob of sequence zzz when three letters picked without replacement from fjzbwzzz. 1/14 Two letters picked without replacement from llnhxhlcl. Give prob of sequence cl. 1/18 Four letters picked without replacement from yhwyoo. Give prob of sequence oyyw. 1/90 What is prob of sequence htx when three letters picked without replacement from {h: 1, x: 1, t: 2, a: 4}? 1/168 Two letters picked without replacement from pylkp. Give prob of sequence py. 1/10 Three letters picked without replacement from {m: 5, u: 15}. What is prob of sequence umu? 35/228 Three letters picked without replacement from cmbbcbmcmmbb. What is prob of sequence mbb? 2/33 Calculate prob of sequence ooho when four letters picked without replacement from ohhohoohoooooo. 120/1001 Four letters picked without replacement from {d: 2, p: 9}. What is prob of sequence ppdd? 1/55 What is prob of sequence vmm when three letters picked without replacement from mvvvnvvmvnv? 7/495 Two letters picked without replacement from ddaadcdda. What is prob of sequence aa? 1/12 What is prob of sequence wm when two letters picked without replacement from mmmmmwwmmwmhwwmmw? 15/68 What is prob of sequence pi when two letters picked without replacement from {u: 2, f: 1, i: 1, e: 1, p: 1, x: 1}? 1/42 Three letters picked without replacement from xxxxxxxxxx. What is prob of sequence xxx? 1 What is prob of sequence puu when three letters picked without replacement from ppuu? 1/6 Three letters picked without replacement from ffkxddkdddjjkdjj. What is prob of sequence fjx? 1/420 What is prob of sequence upb when three letters picked without replacement from {p: 2, b: 1, l: 1, x: 2, u: 1}? 1/105 Three letters picked without replacement from {i: 9, a: 1, k: 1, o: 3, t: 1, w: 3}. What is prob of sequence okt? 1/1632 Four letters picked without replacement from {i: 1, p: 1, y: 1, z: 1, l: 2, k: 1}. Give prob of sequence lkyl. 1/420 Two letters picked without replacement from nmndn. Give prob of sequence nd. 3/20 Three letters picked without replacement from {n: 11, i: 9}. Give prob of sequence nnn. 11/76 Calculate prob of sequence pep when three letters picked without replacement from ehpeeexpe. 5/252 What is prob of sequence hhhy when four letters picked without replacement from hhhyyyyhhyhhhhhhhh? 143/1224 What is prob of sequence ybby when four letters picked without replacement from {b: 2, e: 7, o: 2, z: 4, y: 2}? 1/14280 What is prob of sequence nn when two letters picked without replacement from {t: 1, l: 3, n: 5}? 5/18 Four letters picked without replacement from kjscjjekjkkj. Give prob of sequence kkcj. 1/198 Three letters picked without replacement from ianxwxj. Give prob of sequence awi. 1/210 What is prob of sequence gw when two letters picked without replacement from {x: 1, g: 1, d: 1, u: 3, w: 6}? 1/22 Two letters picked without replacement from ttllrkwwlt. What is prob of sequence kw? 1/45 Two letters picked without replacement from {p: 1, v: 3, z: 4, c: 2, j: 1}. What is prob of sequence vv? 3/55 What is prob of sequence bb when two letters picked without replacement from bbbiibbiiiiiibiiii? 5/51 Calculate prob of sequence ggb when three letters picked without replacement from {b: 1, y: 2, g: 3, t: 9, x: 2, h: 1}. 1/816 Three letters picked without replacement from bbhlllppplllllh. What is prob of sequence llb? 8/195 What is prob of sequence do when two letters picked without replacement from bqqodqqqqbdadqood? 3/68 What is prob of sequence qi when two letters picked without replacement from qqqiqiqqq? 7/36 Calculate prob of sequence ff when two letters picked without replacement from {m: 2, f: 5, r: 2}. 5/18 Calculate prob of sequence aaz when three letters picked without replacement from {z: 7, a: 6}. 35/286 What is prob of sequence izi when three letters picked without replacement from iiiziiiiizii? 3/22 Calculate prob of sequence pda when three letters picked without replacement from bzppzabcbbcdbpbbzazb. 1/1140 What is prob of sequence es when two letters picked without replacement from sse? 1/3 Four letters picked without replacement from folliss. What is prob of sequence lfsl? 1/210 What is prob of sequence uw when two letters picked without replacement from nwarquuauunrqq? 2/91 Three letters picked without replacement from {y: 5, j: 10, e: 1, n: 4}. Give prob of sequence jjn. 1/19 Two letters picked without replacement from {k: 1, x: 1, m: 1, f: 2, p: 1, a: 1}. Give prob of sequence xa. 1/42 Four letters picked without replacement from llmmmlllml. Give prob of sequence mmlm. 1/35 What is prob of sequence wf when two letters picked without replacement from {m: 1, y: 2, f: 3, w: 2, i: 3, j: 1}? 1/22 Calculate prob of sequence eze when three letters picked without replacement from eqlilqze. 1/168 What is prob of sequence es when two letters picked without replacement from sesesse? 2/7 Calculate prob of sequence ub when two letters picked without replacement from {b: 1, z: 5, y: 4, u: 1, l: 4}. 1/210 What is prob of sequence uuu when three letters picked without replacement from {x: 6, u: 7}? 35/286 Two letters picked without replacement from {u: 1, p: 1, y: 1, o: 2, e: 2, g: 2}. What is prob of sequence ge? 1/18 Three letters picked without replacement from ppppppp. Give prob of sequence ppp. 1 Calculate prob of sequence kkk when three letters picked without replacement from kkkksskkkkkkskksssk. 286/969 What is prob of sequence mmjj when four letters picked without replacement from jmjjjmmjjmfjjjjjmjjj? 91/2907 What is prob of sequence dj when two letters picked without replacement from oooodjoododdo? 1/39 Four letters picked without replacement from vdvdddvvvvvvvvvvdvvv. Give prob of sequence vvvv. 91/323 Two letters picked without replacement from {u: 5, f: 2, y: 1, l: 3, w: 1}. Give prob of sequence uu. 5/33 Four letters picked without replacement from {e: 3, v: 5}. What is prob of sequence vvev? 3/28 Calculate prob of sequence bo when two letters picked without replacement from {p: 1, o: 1, b: 2, h: 1, e: 2, a: 2}. 1/36 What is prob of sequence vvvv when four letters picked without replacement from {v: 5}? 1 Two letters picked without replacement from hpecicpceehccehciee. Give prob of sequence hp. 1/57 Calculate prob of sequence ru when two letters picked without replacement from mrubbgrgubyrbymrgu. 2/51 Three letters picked without replacement from {m: 1, v: 1, z: 2, u: 1}. What is prob of sequence zzv? 1/30 Four letters picked without replacement from {e: 2, n: 8}. What is prob of sequence nnee? 1/45 Calculate prob of sequence rad when three letters picked without replacement from {q: 2, t: 3, a: 3, i: 1, r: 2, d: 9}. 3/380 Two letters picked without replacement from {n: 1, l: 1, e: 2, z: 2, o: 1}. What is prob of sequence lo? 1/42 Calculate prob of sequence zsi when three letters picked without replacement from ivvsvssvszviv. 2/429 What is prob of sequence ll when two letters picked without replacement from {i: 3, l: 2}? 1/10 What is prob of sequence fnnf when four letters picked without replacement from {f: 4, n: 16}? 8/323 Two letters picked without replacement from clcttcalaacccacccaac. What is prob of sequence at? 3/95 What is prob of sequence thpy when four letters picked without replacement from {h: 2, p: 1, t: 1, d: 1, y: 1, u: 1}? 1/420 Four letters picked without replacement from zzaaaaaazaaa. What is prob of sequence azzz? 1/220 Calculate prob of sequence tm when two letters picked without replacement from mmddtddddmddm. 1/39 Two letters picked without replacement from {k: 5, y: 4, r: 1, m: 4, e: 6}. What is prob of sequence mm? 3/95 Three letters picked without replacement from {d: 1, k: 2, v: 1, j: 2, m: 2, a: 1}. What is prob of sequence kma? 1/126 What is prob of sequence yy when two letters picked without replacement from yeeyeeeveve? 1/55 What is prob of sequence hdjj when four letters picked without repla
{ "pile_set_name": "DM Mathematics" }
5. Does 69 divide g? False Suppose 0 = -7*o + 4*o + 6. Suppose 2*k - 535 = -5*a, -5*k + 203 = 2*a - o*k. Is 26 a factor of a? False Suppose -5*i + 13 = -7. Does 43 divide i/(-3) + 2 - (-2572)/12? True Let x = -18 + 17. Let t = x - -4. Suppose 19 - 1 = t*h. Is h a multiple of 2? True Suppose 10*o - 2*o - 32 = 0. Let p(t) = t**3 + 7*t**2 - t - 4. Let l be p(-7). Suppose -14 = -o*g + 3*v + 123, -v + 93 = l*g. Does 8 divide g? True Let f = 220 + -79. Suppose -u + 2*u + 2*a = 42, 0 = -4*u + a + f. Is u a multiple of 6? True Let l(t) = t**3 - t**2 + t - 3. Let n be l(0). Let p = n - -6. Suppose -g - 2*g + 4*z + 202 = 0, -311 = -4*g - p*z. Does 18 divide g? False Is 2 a factor of -322*((-198)/88 - (-2)/8)? True Suppose -2*a + 20832 = 30*a. Is 21 a factor of a? True Suppose 5*o + 22 = j - 3, j - 3*o = 17. Suppose -3*b - 5*f - j = b, -b = -5*f - 30. Suppose 11 = b*h - 19. Is h a multiple of 4? False Suppose 26*p - 4378 = -140. Is 8 a factor of p? False Suppose 3*a + 6 = 2*h, -h = -4*a - 0*h - 13. Is (a - -3)*24*-1 a multiple of 8? True Suppose 0*j - 914 = -3*h + j, -3*h = -3*j - 906. Is h/(-119)*56/(-6) a multiple of 2? True Let f(n) = 70*n**2 - 115*n - 836. Is f(-7) a multiple of 11? True Suppose 2*r - 52 = 24. Let f = r - -28. Does 5 divide f? False Is ((-156)/65)/(2/(-895)) - 4 a multiple of 107? True Let r = -48 + 67. Suppose k - r + 4 = 0. Is k a multiple of 7? False Is 16 a factor of (-123)/(-5*6/30)? False Let p(c) = -c + 19. Let x be (54/(-4) - 18/(-12)) + 0. Does 13 divide p(x)? False Let o(z) = 94*z + 205. Does 24 divide o(7)? False Suppose -5*y + 79 = 3*f, -5*f + 0 = 10. Suppose -y*b + 0*b = -1037. Does 19 divide b? False Let h be (-6 - -1)*(-280)/25. Suppose h + 25 = y. Let v = -41 + y. Is v a multiple of 10? True Let n = 4 + -11. Let z = n - -12. Suppose -245 = -z*v + a + a, 74 = 2*v + 4*a. Is 15 a factor of v? False Let q be 191/3 - 10/15. Suppose 4*y - 1 + q = 2*o, -2*y + 8 = 0. Does 8 divide o? False Let n(u) = -u**3 + 5*u**2 - 7*u + 4. Let o be n(4). Let a be (-42)/(-12)*o/(-14). Suppose a*z + 3*z - 50 = 0. Does 7 divide z? False Let p(z) = -4*z - 24. Let d be p(-7). Suppose d*i + 3*b = 188, -94 = -2*i - b - b. Does 37 divide i? False Let f(x) = 20*x - 6. Let a(q) = 19*q - 5. Let i(t) = -3*a(t) + 2*f(t). Let g(o) = 1. Let h(j) = g(j) - i(j). Is h(1) a multiple of 15? True Let u = -449 + 164. Let o = -197 - u. Does 20 divide o? False Suppose -5*d + 6 - 71 = 0. Let r = 5 - d. Does 6 divide r? True Suppose 0 = -10*b - 3*b. Suppose 2*s + 0*a + 2*a - 202 = b, 307 = 3*s + 2*a. Does 17 divide s? False Let t = 48 + -14. Suppose -4*x = -x - i + 17, -5*x - t = 4*i. Is 2/x - 132/(-18) a multiple of 2? False Suppose 2*g = -2*g + 20. Suppose 5*f - 150 = -5*l, l = -4*f + 5 + 31. Suppose 0 = -3*z + g*z - l. Does 12 divide z? False Let x be 20/(-16)*(-15 - -11). Let w be (-2)/(-4)*6*1. Suppose b = x + w. Is b a multiple of 4? True Let a(t) = 3*t + t**3 + 5*t**2 + 3 - 4*t - t - 6*t. Let c be a(-6). Let x = 40 - c. Is 25 a factor of x? True Suppose 3*w = d + 14, -2*w - 46 = -7*w - 4*d. Is w even? True Let y(n) = -6*n - 7. Does 29 divide y(-6)? True Let y(g) = 2*g**2 - 16*g + 75. Is y(23) a multiple of 15? True Let j = 86 + 1. Suppose -4*v + 77 = -j. Is 6 a factor of v? False Is ((-9)/6)/(((-5)/24)/5) a multiple of 4? True Let x(k) = -k**2 + 16*k - 35. Let u be x(13). Let t(g) = 4*g**2 + 5*g + 3. Let f be t(-3). Suppose d + 2*d - f = y, -32 = -u*d - 5*y. Is 2 a factor of d? True Let d(u) = -u**2 + 7*u - 10. Let r be d(4). Suppose 0 = -r*f + 254 + 82. Is 28 a factor of f? True Let v = 132 - 141. Is 2 a factor of (169/39)/(0 + (-1)/v)? False Let u = 0 - 13. Let h be -2 + (u + 4)*-1. Suppose -h*n + 156 = -n. Is 10 a factor of n? False Suppose -2*b + 30 = 5*l - 0, 5*l - 50 = 2*b. Suppose l*y - 588 = 148. Is y a multiple of 23? True Let g(d) = 29*d + 11 + 10 - 13. Does 9 divide g(3)? False Suppose 0 = -2*h, 156 = 3*k + 2*h - 0*h. Does 7 divide k? False Let a = 613 - 253. Is 18 a factor of a? True Is (-42864)/(-15) + 36/90 a multiple of 118? False Let h = 1941 - 1366. Is h a multiple of 23? True Suppose 4*h + l = -h - 93, -4*h - 74 = l. Let j = h - -22. Suppose j*u - 61 = -13. Does 16 divide u? True Let y = -274 + 978. Suppose 14*g - 584 = y. Is 20 a factor of g? False Let s = 11419 - 4884. Is 5/(275/s) + 4/22 a multiple of 14? False Let g be (1 - -14)*(-4 + 124/6). Suppose 14*p = 12*p + g. Does 18 divide p? False Suppose 2*h + 5*g - 1 = 66, 0 = 2*h - 2*g - 46. Let i = 29 - h. Suppose p = 4*p - 5*j - 66, 0 = -p - i*j + 22. Is p a multiple of 5? False Let b(d) = d + 2. Let z be b(-2). Suppose -x + 1 + 5 = z. Is 24 a factor of 1*45 - (x + -9)? True Let t(n) = 49*n**2 - 20*n - 18. Is t(-1) a multiple of 33? False Suppose -25*k + 16646 = -4329. Is 60 a factor of k? False Let k = 6 - 15. Let m be 30/(-4)*84/k. Suppose -2*l + 128 = 2*d, -2*l = -4*d - 34 - m. Does 12 divide l? True Let u = 11 - 0. Let z(l) = l**3 - 9*l**2 - 15*l - 10. Let y be z(u). Does 17 divide 1/(202/y + -3)? False Let s(n) = -4*n - 11. Does 3 divide s(-9)? False Let j(t) = 16*t**2 - 35*t - 6. Let i(c) = 11*c**2 - 23*c - 4. Let d(a) = -7*i(a) + 5*j(a). Does 9 divide d(6)? False Is (29/(-2))/((-9)/414) a multiple of 43? False Suppose 0 = -5*z + 5*y + 190, 4*z + z + y = 220. Let t = -42 + 69. Let u = z - t. Is 6 a factor of u? False Suppose 0 = -o + 8 + 118. Suppose 27 = 3*p - o. Is 14 a factor of p? False Let p(r) = -r. Let l be p(-3). Suppose 5*g - 42 = l. Suppose -4*k + g*z = 4*z - 95, 4*z - 68 = -4*k. Is k a multiple of 20? True Suppose 15*z - 29236 = -5476. Is z a multiple of 13? False Let g(n) = 140*n - 4. Let x be g(3). Suppose 2*h = a - 3*a + x, -4*h = -4. Is a a multiple of 23? True Is ((-4048)/(-24))/(2/(-12)*-2) a multiple of 22? True Let f(u) = -2*u**3 + 40*u**2 - 46*u + 88. Does 40 divide f(17)? True Let w be 72/4 - (-2 - 0). Let a be (-254)/(-10) - 8/w. Suppose -h = -a - 10. Is h a multiple of 10? False Let j(f) = f**2 + 9*f + 64. Is j(-8) a multiple of 28? True Let v = 2581 - 1460. Is v a multiple of 80? False Let i = -99 - -434. Is i a multiple of 5? True Let a(o) = -110*o - 334. Is 17 a factor of a(-8)? False Suppose -10*v + 1765 = -5*v. Let r = -185 + v. Is r a multiple of 28? True Let y(o) be the second derivative of -o**8/2240 - o**5/40 + o**4 - 10*o. Let h(x) be the third derivative of y(x). Is h(-2) a multiple of 7? True Let z(i) = 0*i - 6*i - 4*i + 13 - 10*i - i**2. Is z(-17) a multiple of 18? False Let q(i) = 9*i. Let z = 14 - 5. Let y = z - 5. Does 18 divide q(y)? True Suppose 2*x - 6*x = -480. Is 10 a factor of x? True Let j(z) = -3*z. Suppose -5*i - 9 = -4. Let b be j(i). Suppose -b*a + 357 = 54. Is a a multiple of 21? False Let u(f) = f**2 + f + 37. Suppose 12*v - 9*v = 0. Does 11 divide u(v)? False Let v = 1216 - -1456. Is 19 a factor of v? False Suppose r - 124 = 5*i, -11 = -3*i + 1. Suppose y = -x + 33, 0*x + 4*x = -y + r. Does 37 divide x? True Suppose 0 = -4*l + 5*l + 13. Let o be 2 - (29 + 0)/(-1). Let x = l + o. Is 9 a factor of x? True Suppose 7*z - 125 - 2115 = 0. Is z a multiple of 15? False Let i be ((-20)/(-4) - 1) + 1. Suppose -w = 1 - i. Suppose w*m = -7 + 91. Is 7 a factor of m? True Let t = 242 + -111. Suppose 32 - t = 3*o. Let p = -6 - o. Does 12 divide p? False Suppose 0 = -3*g + 3*y + 7503, -15671 + 3216 = -5*g - 5*y. Does 31 divide g? False Suppose -g = -5*g + 292. Let q = -40 + g. Is q a multiple of 27? False Let w = -1094 - -2204. Is 15 a factor of w? True Let z(d) = 6*d**3 - d + 5. Let b(i) = -i**3 + i - 1. Let r(n) = 5*n**3 - 6*n + 7. Let m(x) = 6*b(x) + r(x). Let h(s) = 5*m(s) + z(s). Does 9 divide h(0)? False Let u(c) be the second derivative of c**5/20 + 11*c**4/12 + 2*c**3/3 + 3*c**2/2 + 10*c. Does 12 divide u(-10)? False Suppose 5*n + 4*r = 185, -5*n - 2*r = -6*r - 225. Suppose -3*m + 9 = 3. Suppose m*c - n = 47. Is c a multiple of 11? True Let c be ((-4)/1 + 2)*-2. Let l(g) = 3*g**2 - 12*g + 2. Let b be l(4). Suppose 2*s - b*a - 20 = -0, 0 = c*s + 5*a - 76. Is s a multiple of 4? False Suppose 0*q = 4*q - 804. Suppose j + 3*c - q = -2*c, 5*j = 2*c + 870. Suppose -j = -4*d - 4*n, -d + 4*n + 2 = -32. Does 25 divide d? False Suppose -3*n - j = -20, -2*n + 8 + 7 = j. Suppose -s = -0*s - 2*q - 62, -4*s = -n*q - 236. Does 18 divide s? True Sup
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 7215726864? 2, 3, 150327643 List the prime factors of 52743441. 3, 17581147 What are the prime factors of 3235481804? 2, 19, 233, 182713 List the prime factors of 337473310. 2, 5, 33747331 What are the prime factors of 322463141? 7, 11, 13, 61, 5281 List the prime factors of 275665215. 3, 5, 7, 281, 9343 List the prime factors of 44889527. 1319, 34033 List the prime factors of 1670590499. 20681, 80779 What are the prime factors of 61582016? 2, 83, 11593 List the prime factors of 9497318. 2, 311, 15269 What are the prime factors of 3326782794? 2, 3, 31, 17885929 List the prime factors of 46048534. 2, 7, 61, 7703 What are the prime factors of 292207212? 2, 3, 11, 737897 List the prime factors of 1018886725. 5, 29, 1405361 What are the prime factors of 1085822603? 1085822603 What are the prime factors of 2180381057? 44269, 49253 List the prime factors of 143894450. 2, 5, 7, 411127 What are the prime factors of 1412139380? 2, 5, 70606969 What are the prime factors of 822895714? 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2, 5, 23, 131, 2671 What are the prime factors of 2622369120? 2, 3, 5, 7, 757, 1031 What are the prime factors of 51244660? 2, 5, 2562233 What are the prime factors of 320670708? 2, 3, 131, 203989 What are the prime factors of 4294531413? 3, 101, 173, 9103 List the prime factors of 18040268. 2, 4510067 What are the prime factors of 134585951? 134585951 List the prime factors of 115563313. 115563313 List the prime factors of 52510939. 13, 163, 24781 List the prime factors of 45341526. 2, 3, 101, 74821 List the prime factors of 168827291. 23, 7340317 What are the prime factors of 19312624? 2, 1207039 List the prime factors of 201836543. 163, 659, 1879 What are the prime factors of 454689685? 5, 109, 613, 1361 List the prime factors of 4948722. 2, 3, 113, 811 What are the prime factors of 4088806188? 2, 3, 43, 7924043 List the prime factors of 2544011758. 2, 1272005879 What are the prime factors of 529815451? 11, 31, 1553711 List the prime factors of 1867453029. 3, 13, 113, 197, 239 What are the prime factors of 80811594? 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{ "pile_set_name": "DM Mathematics" }
h*h*h*h**(-2/5)/h*h)/h*h)*h/h**(4/11)) assuming h is positive. h**(3943/1980) Simplify (f**(-1/2))**(2/7)/(((f**(4/7)*f)/f)/(f**(1/13)/f)) assuming f is positive. f**(-149/91) Simplify (v/(v*v/((v*v*v**(1/3))/v)))/(v/((v/v**5)/v))*v**18*v**(-7)/v assuming v is positive. v**(13/3) Simplify ((q*q**(-2/13)/q*q)**(4/5))**(-43) assuming q is positive. q**(-1892/65) Simplify u/(u**(11/3)/u)*u**(-4/25)*(u**(-9)*u)**11 assuming u is positive. u**(-6737/75) Simplify a**(-2/19)*a/(a**12*a)*a*(a/a**(-5/3))/a**0 assuming a is positive. a**(-481/57) Simplify ((((t*t/t**5*t)/t)/t**(-7))/(t**3/t**(-1/4)))**(-2/5) assuming t is positive. t**(-3/10) Simplify (g*g**(-1))/(g*g*g**(-4))*(g*g**(-5/6)*g)**(-22) assuming g is positive. g**(-71/3) Simplify ((c**(-1)*c/(c**(-15)*c))**(-39))**(-19) assuming c is positive. c**10374 Simplify b**(-35)*b/b**(5/8)*((b*b/b**(1/4))/b)**(1/5) assuming b is positive. b**(-1379/40) Simplify (n**(-18)/(n*n**(-4/23)*n))**19 assuming n is positive. n**(-8664/23) Simplify (((a*a/(a**(-11)*a))/a**(-1/4))/((a*a*a**(2/5))/a)**(-27/5))**(-34/5) assuming a is positive. a**(-33677/250) Simplify (a*a**(3/5))**(-1/6)*a**13/(a*a**(2/3)) assuming a is positive. a**(166/15) Simplify ((k**2*k)/k)/k*k*k/(k*(k*k/((k/(k**(-2/5)/k*k))/k*k*k)*k)/k)*(k**3*k*k)/k**21 assuming k is positive. k**(-68/5) Simplify ((z**(-3/10)*z/(z**(-2)*z))**(2/89))**43 assuming z is positive. z**(731/445) Simplify (i/i**(2/23)*i*i*i**(1/21)*i*(i*(i/(i/(((i/(((i*i**(-5/6))/i*i)/i*i)*i)/i)/i)))/i)/i**(-11))**(-1/5) assuming i is positive. i**(-14291/4830) Simplify (f**(-1)/f)**(1/4)/((f*f**(-3/5))/f)**(-1/72) assuming f is positive. f**(-61/120) Simplify (((d/d**11)/d**(-6/5))/(d**(-7)*d*((d/d**(4/5)*d)/d)/d))**(-2/11) assuming d is positive. d**(4/11) Simplify ((s*s**11)/(s*s/(s*s**(-28)/s)))**(-3/53) assuming s is positive. s**(54/53) Simplify ((b**(-2/13)/b)/(b*b*b/b**(1/6)*b*b))/(b/(b*(b/((b/b**3)/b))/b)*b**12) assuming b is positive. b**(-1169/78) Simplify y**(-11)/(y**(-2/15)*y)*((y**(-3/10)/y)/y)/(y*y/(y/y**10)) assuming y is positive. y**(-151/6) Simplify ((v*v/(v**(-2/23)*v))/v)/v*v**11*v*(v**(1/2))**(6/7) assuming v is positive. v**(1854/161) Simplify (u**(-2/31)/(u*u**31*u))/((u**(-13)/u)/(u**0*u)) assuming u is positive. u**(-560/31) Simplify a**(-1)*a**(-10/3)*a*(a*a/(a/a**(5/3)))/a**4 assuming a is positive. a**(-14/3) Simplify t**(4/3)/t*t*t**(3/4)*t**(-3/5)/((((t**(1/6)/t)/t)/t)/t) assuming t is positive. t**(319/60) Simplify k/(k*k/k**12*k)*(((k*(k/(((k**(-2/25)/k*k)/k)/k*k))/k*k)/k)/k)/k*((k*(k*k**(-6)/k)/k)/k)/(k*k*(k/(k**(-8)*k))/k) assuming k is positive. k**(-148/25) Simplify ((f**(1/3)*f**(-2/23))/(f*(f*f*f*f*f*((f**0/f)/f)/f)/f)**(-30))**(2/139) assuming f is positive. f**(8314/9591) Simplify (((g/g**(-1))**(-6/31))**(-3/25))**(-22) assuming g is positive. g**(-792/775) Simplify (v*((v*v*v/(v*v**(3/2)/v))/v)/v*v*v)**7*(v*v**(-10))**1 assuming v is positive. v**(17/2) Simplify (g**18*g)/g*g**(-1/28)*(g*(g**(-8)*g)/g)/(g/(g**(-8)/g)) assuming g is positive. g**(27/28) Simplify (w/(w/(w*w**(-8)/w*w)*w*w)*w/w**14)/(w*w**(-7/4)/w*w**10) assuming w is positive. w**(-121/4) Simplify k**(-4)/k**1*k**25*k/((k*k*((k*k/(((((k/(k*k**28*k*k))/k)/k*k)/k)/k))/k*k)/k)/k) assuming k is positive. k**(-14) Simplify (a*a/(a*(a/a**(1/3))/a)*a*a)/((a/(a/a**(-4/11)))/a)*a*a/a**(-2/7)*a*a**(-19) assuming a is positive. a**(-2545/231) Simplify (d**(-15/2)*d*d**(-25)*d*d)**38 assuming d is positive. d**(-1121) Simplify (b/(b*b**(-1)*b)*b**(-2/11))/(b**(4/5)*b**(5/3)) assuming b is positive. b**(-437/165) Simplify (v**8/v)**32/(v**2/(v/v**(3/2))) assuming v is positive. v**(443/2) Simplify ((b*b**(-2))**(-24)*(b/(b*b**(-2)/b)*b)/b**(-1/14))**(1/50) assuming b is positive. b**(393/700) Simplify (t*((t/(t/(t*t**(6/7))))/t)/t)**(-1/15)/(t**36/((t/(((t/(t*t*t*t/((t*t**(9/5)*t)/t)))/t)/t))/t*t)) assuming t is positive. t**(-230/7) Simplify (x*x**9/x)**37*x**(-2/27)*x/x**(-6)*x*x assuming x is positive. x**(9232/27) Simplify (u**(1/2)/u)**(-3/28)/(u**12/(u*u*((u*(u/(u/(u*u/u**(-4/5))*u)*u)/u*u)/u)/u*u*u)) assuming u is positive. u**(-1721/280) Simplify ((c**(-1/2)*c**9)/(c/c**(-2/5)*c**(-1/17)))**(-25) assuming c is positive. c**(-6085/34) Simplify z**(3/11)*z**(-2/35)/z*((z/(z/(z/(z/(z*z**(1/11)*z*z)))))/z)**25 assuming z is positive. z**(19823/385) Simplify (g**(-5/2)/g)**(-7)*(g*g**(-19))**16 assuming g is positive. g**(-527/2) Simplify (h/(h*h**0))**(-2/7)*h**(-5)*h**(-2) assuming h is positive. h**(-7) Simplify m**(4/5)/(m*m/(m*m**(-2)/m*m*m*m))*(m**(4/7)/m)/(m**3/m) assuming m is positive. m**(-92/35) Simplify (t**(-3/11)*t**(10/11))/(t**(2/7))**19 assuming t is positive. t**(-369/77) Simplify ((p/p**(-2))**(-1/3)*p*(p*p/p**(-3/2))/p*(p/p**(7/3))/p*p)**(-1/2) assuming p is positive. p**(-7/12) Simplify (g**(2/55)/g)/(g/(g/(g**(4/15)*g)))*g/g**(-1/3)*g**(-3/5) assuming g is positive. g**(-247/165) Simplify j**4*j*j/j**(-1/2)*j*j*j*j*j/(j**(-9)*j)*j/(j/((j**(-13/5)*j)/j))*j assuming j is positive. j**(179/10) Simplify (g**(-6)*g/(g/g**(26/5)))**(-23) assuming g is positive. g**(92/5) Simplify (j**(1/9))**(-39)*j**16*j**(-1) assuming j is positive. j**(32/3) Simplify ((k/(k**(2/13)*k)*k)/(k/k**(-1/9)))/(k**(-2/3))**(-4/5) assuming k is positive. k**(-467/585) Simplify p**11/p*p**16*p*p**(1/7)*p/p**(-4/3) assuming p is positive. p**(619/21) Simplify l/(l/(((l/l**(-14))/l)/l)*l*l)*l*l/l**14*(l/(l/(l*l*l**(-3/2)))*l*l)**(-2/101) assuming l is positive. l**(-106/101) Simplify ((k*k**(-1/10)*k)/k*(k*k**(12/13)*k)/k)**(-14) assuming k is positive. k**(-2569/65) Simplify ((b**(2/5)*b)/b*b)**(-27)*b*b**1*b**(6/7)*b assuming b is positive. b**(-1188/35) Simplify ((w/(w*w*w**(2/15)))/(w**(-3/5)*w)*(w**1)**31)**(19/6) assuming w is positive. w**(4199/45) Simplify (y**17/((y**(1/7)*y*y)/y))/(((y/y**(2/11))/y)/y**(1/6)) assuming y is positive. y**(7487/462) Simplify (u/(u*u**22*u*u))**(-5/2)*u*u**25*u*(u*u**(-2/9))/u*u assuming u is positive. u**(790/9) Simplify ((p*p*p*p**(3/5)*p*p**3)/((p*p/((p/(p*p**4))/p))/((p*p**(-2/21))/p)))**(-30) assuming p is positive. p**(-106/7) Simplify z**(3/7)/(z/(z**(1/7)/z))*(z**(1/57)/z)/z**(-18/7) assuming z is positive. z**(64/399) Simplify ((z**4/z*z*z**(6/7)*z)**(-1/69))**(20/9) assuming z is positive. z**(-820/4347) Simplify (z*(z/(z*z/(z**1*z)))/z)**47*(z/z**(-3/5))**(-1/12) assuming z is positive. z**(703/15) Simplify (d/(d/(d**(-2)*d))*d/(d/d**(-9/7)))/((d**17/d)/d**(1/15)) assuming d is positive. d**(-1913/105) Simplify w**13*((w*w*w**(-3/5)/w)/w)/w*w*w*w**(8/3)*w*w*w**15*w assuming w is positive. w**(511/15) Simplify z**24*z*z*(z*(z/(z/(z**8/z)*z))/z)/z*(z**(-1/5)*z*z)**(21/5) assuming z is positive. z**(964/25) Simplify (r/((r**(4/7)*r)/r))**(-4)*(r/(r**30/r))/((r*r**(-13)*r)/r) assuming r is positive. r**(-124/7) Simplify (i/i**(2/15))**(4/11)*(i/i**22)/i*i/(i*i**(-13)) assuming i is positive. i**(-1433/165) Simplify ((((r*r**18)/r*r)/(r/r**(4/15)))**(-1/51))**(-2/65) assuming r is positive. r**(548/49725) Simplify ((u*u*u**(-1/7))/u*u)**(-22/5)*(u**(4/15)*u)/((u**(-2/77)*u)/u) assuming u is positive. u**(-227/33) Simplify ((z**(-3)/(z/z**1))**29)**(1/17) assuming z is positive. z**(-87/17) Simplify (r**0/r**25)/(r**(-10/11)*r*r**(-3/10)*r) assuming r is positive. r**(-2837/110) Simplify (m**0)**(-12)*(m**(-3))**(-5) assuming m is positive. m**15 Simplify (a**3)**50*a**(-11)*a/(a/((a**(-12)/a)/a)*a) assuming a is positive. a**124 Simplify ((o/(o*(o/(o**1/o))/o))**(-2/27)/(((o/(o/(((o/(o*o**(2/7)*o))/o)/o)*o*o))/o)/(o/o**(2/5))))**(-7/5) assuming o is positive. o**(-241/25) Simplify ((k**24/k)/((k/((k**(-23)/k)/k))/k))/((k*k*k**(1/7)*k*k)/k**(-3/2)) assuming k is positive. k**(-107/14) Simplify (((r*(r/(r**0*r*r))/r)/r)/r)**43/(r/r**(2/21)*r*r**(-1)*r) assuming r is positive. r**(-2749/21) Simplify ((q/(q*q**(1/12)/q*q)*q)/q)**(-48)*(q**(-13/5))**(1/23) assuming q is positive. q**(447/115) Simplify (t*t**(-2/11))**(3/17)*t**7/t**(-3/23) assuming t is positive. t**(31289/4301) Simplify (a/(a*a*a**(-4)))/a**(-1/9)*(a*(a*a**(-3/22)/a)/a*a)/a*a*a/(((a/a**(-1/11))/a)/a)*a assuming a is positive. a**(1363/198) Simplify (x*x**(-23)*x/x**(1/64))/(x/(x**10*x)*x)**(-9) assuming x is positive. x**(-6529/64) Simplify q**(3/2)/(q/(q**(-8)/q))*q**(-10/7)*
{ "pile_set_name": "DM Mathematics" }
1, 10396377, 23391869, 41585557, 64977441, 93567521? 127355797 What is next in -813578, -813613, -813648, -813683, -813718, -813753? -813788 What is the next term in 1223148083, 1223148084, 1223148085, 1223148086? 1223148087 What is next in 197, 775, 1711, 2993, 4609, 6547, 8795? 11341 What is the next term in -8083, -9158, -10255, -11374, -12515, -13678, -14863? -16070 What is next in -5635, -6210, -6785? -7360 What comes next: -200326903, -200326893, -200326881, -200326867? -200326851 What is the next term in 380, 921, 1624, 2489? 3516 What is next in 506, -778, -2048, -3298, -4522, -5714, -6868? -7978 What comes next: -23917, -47912, -71907, -95902, -119897? -143892 What is next in 490, 1294, 2274, 3430, 4762, 6270? 7954 What is the next term in -93717, -95566, -97421, -99282? -101149 What comes next: 47083, 40956, 34829, 28702? 22575 What is the next term in -103549, -103425, -103267, -103081, -102873, -102649, -102415? -102177 What is next in -11582017, -11581923, -11581829, -11581735? -11581641 What is the next term in -318, -1056, -2200, -3750, -5706, -8068, -10836? -14010 What comes next: -3431, -5889, -8347, -10805, -13263? -15721 What comes next: 26712, 26371, 25804, 25011, 23992? 22747 What comes next: -159465, -319329, -479193, -639057? -798921 What comes next: 27579, 54956, 81971, 108444, 134195? 159044 What comes next: -15877, -59117, -129719, -227683? -353009 What is next in -10218, -10082, -9938, -9786, -9626, -9458, -9282? -9098 What comes next: 2815, 5864, 8913? 11962 What is the next term in 11429, 25148, 41157, 59456? 80045 What is next in -5266, -8535, -11804, -15073, -18342, -21611? -24880 What comes next: 6920, 14421, 22510, 31187, 40452, 50305? 60746 What comes next: -31233, -62513, -93765, -124983, -156161, -187293, -218373, -249395? -280353 What is the next term in 1836, 5449, 11412, 19677, 30196? 42921 What is next in 23537, 47435, 71289, 95099, 118865, 142587? 166265 What is next in -5509, -6626, -7743, -8860? -9977 What is the next term in -201079, -200952, -200741, -200446? -200067 What is the next term in 1398958, 5595783, 12590488, 22383073, 34973538, 50361883, 68548108? 89532213 What comes next: 31176, 249425, 841792, 1995327, 3897080, 6734101, 10693440, 15962147? 22727272 What comes next: -8534956, -34139820, -76814594, -136559278, -213373872, -307258376? -418212790 What comes next: -3763063, -3763123, -3763183, -3763243, -3763303? -3763363 What comes next: 10704, 24917, 48606, 81771, 124412? 176529 What is next in -440463, -880863, -1321233, -1761567, -2201859, -2642103, -3082293, -3522423? -3962487 What comes next: 561375, 1122753, 1684131, 2245509, 2806887, 3368265? 3929643 What is the next term in -44197, -176318, -396521, -704806? -1101173 What comes next: -311518447, -311518448, -311518449, -311518450? -311518451 What is the next term in 145954964, 145954963, 145954962, 145954961, 145954960, 145954959? 145954958 What is the next term in -640590, -640515, -640440, -640365, -640290? -640215 What comes next: -2471, 324, 3119, 5914, 8709? 11504 What is next in 796025, 796004, 795983, 795962, 795941? 795920 What is next in -3028, -19691, -47464, -86347, -136340, -197443? -269656 What is next in -1410713, -1410721, -1410729, -1410737, -1410745? -1410753 What is next in -55508, -111160, -166814, -222470, -278128? -333788 What is the next term in -6006230, -6006224, -6006216, -6006206, -6006194, -6006180? -6006164 What comes next: -36094, -35985, -35876, -35767, -35658? -35549 What comes next: -19163910, -19163925, -19163950, -19163985, -19164030, -19164085? -19164150 What is next in -69882916, -69882917, -69882918, -69882919? -69882920 What comes next: -464, -1484, -3566, -7022, -12164, -19304, -28754? -40826 What is next in 2395804, 4791613, 7187422, 9583231, 11979040, 14374849? 16770658 What is the next term in 2801, 2758, 2717, 2678, 2641, 2606, 2573? 2542 What comes next: -384, -421, -492, -603, -760, -969? -1236 What comes next: 29205, 32052, 34899, 37746? 40593 What comes next: 2364555, 4729106, 7093655, 9458202? 11822747 What comes next: -155209, -310419, -465629, -620839, -776049, -931259? -1086469 What is the next term in 1124458, 2249073, 3373688, 4498303? 5622918 What is next in -437, -2638, -7877, -17444, -32629, -54722, -85013? -124792 What is the next term in -864, -1782, -4178, -8760, -16236, -27314, -42702? -63108 What is next in -14223618, -28447237, -42670856, -56894475? -71118094 What is the next term in -237080516, -474161034, -711241552, -948322070, -1185402588? -1422483106 What is next in 17863554, 35727112, 53590670, 71454228, 89317786, 107181344? 125044902 What is next in 5460, 11036, 16616, 22200, 27788, 33380, 38976? 44576 What is the next term in 374545, 374536, 374519, 374494? 374461 What is the next term in 681155, 681161, 681169, 681179, 681191, 681205? 681221 What is the next term in 9805, 9898, 10069, 10318? 10645 What comes next: -841911, -1683816, -2525721, -3367626, -4209531? -5051436 What comes next: 10064, 10062, 10052, 10028, 9984, 9914? 9812 What is next in 52432185, 104864370, 157296555, 209728740, 262160925? 314593110 What is the next term in 55, -200, -1089, -2930, -6041? -10740 What is next in -23657, -23605, -23563, -23531, -23509, -23497? -23495 What is next in -23567, -93907, -211015, -374891, -585535, -842947? -1147127 What is the next term in 19598, 19879, 20334, 20963, 21766, 22743, 23894? 25219 What is next in -7149692, -14299385, -21449080, -28598777, -35748476, -42898177, -50047880? -57197585 What is next in -8522, -16988, -25444, -33896, -42350, -50812, -59288, -67784? -76306 What comes next: -361883772, -361883766, -361883758, -361883748, -361883736? -361883722 What is next in -242732533, -485465063, -728197593? -970930123 What is the next term in -2528958, -2528966, -2528980, -2529000, -2529026? -2529058 What comes next: -33426, -133721, -300882, -534909? -835802 What is next in -281, -1208, -2749, -4910, -7697, -11116, -15173, -19874? -25225 What comes next: 1023482, 1023526, 1023570, 1023614, 1023658, 1023702? 1023746 What comes next: 171436, 171310, 171184? 171058 What is the next term in -42445, -42206, -41967, -41728? -41489 What is next in -57570, -57454, -57338? -57222 What is next in -710, -1882, -3760, -6344, -9634, -13630, -18332? -23740 What comes next: -6, -45, -102, -189, -318, -501, -750? -1077 What is the next term in -811, -5684, -18619, -43612, -84659, -145756? -230899 What is next in -2560122, -2560141, -2560160, -2560179, -2560198? -2560217 What is next in -5661, -5600, -5499, -5358? -5177 What comes next: 3086, 24286, 81764, 193658, 378106, 653246, 1037216, 1548154? 2204198 What is the next term in 406, 1953, 4532, 8143? 12786 What is the next term in 363800, 1455240, 3274264, 5820866, 9095040? 13096780 What is the next term in -3219, -3097, -2831, -2349, -1579, -449, 1113, 3179? 5821 What is the next term in 5259, 21252, 47969, 85464, 133791, 193004, 263157, 344304? 436499 What comes next: 9866, 12007, 17812, 29111, 47734, 75511, 114272, 165847? 232066 What comes next: -910503, -1821008, -2731513? -3642018 What is next in -7598306, -15197198, -22796088, -30394976? -37993862 What is next in -25463494, -25463495, -25463496, -25463497, -25463498? -25463499 What is next in 113179661, 226359324, 339538987, 452718650, 565898313? 679077976 What is next in -504166649, -1008333296, -1512499943? -2016666590 What is next in -14630, -29917, -45204, -60491? -75778 What comes next: -1925, -14139, -26355, -38573, -50793, -63015, -75239? -87465 What is the next term in 1409, 2866, 4355, 5894, 7501, 9194, 10991, 12910? 14969 What comes next: 25844357, 51688748, 77533139, 103377530, 129221921? 155066312 What is next in -32148, -64144, -95994, -127698, -159256? -190668 What is the next term in -2470, -5302, -8866, -13534, -19678, -27670, -37882, -50686? -66454 What is next in 522102342, 522102344, 522102346, 522102348? 522102350 What is next in -8567144, -8567147, -8567150, -8567153, -8567156? -8567159 What is the next term in 1944692, 3889398, 5834114, 7778840, 9723576, 11668322, 13613078? 15557844 What is next in 25133, 200724, 677263, 1605224, 3135081, 5417308, 8602379, 12840768? 18282949 What is next in -6300076, -6300038, -6299974, -6299884, -62
{ "pile_set_name": "DM Mathematics" }
actor of 515819850? True Is 6 a factor of 27384848? False Is 594968687 a multiple of 37? False Is 138455703 a multiple of 249? True Does 53 divide 74075671? False Is 2195 a factor of 219168529? False Is 57 a factor of 206723987? False Is 318355826 a multiple of 258? False Is 116 a factor of 615516765? False Is 1167968 a multiple of 452? True Is 34 a factor of 121273795? False Does 5 divide 15688290? True Does 6 divide 108034572? True Is 147 a factor of 1205962515? False Is 1749665980 a multiple of 82? True Is 14 a factor of 2973433489? False Is 105 a factor of 33392172? False Is 266445639 a multiple of 518? False Does 478 divide 141560656? True Is 206 a factor of 62418? True Does 25 divide 585691867? False Is 237609916 a multiple of 30? False Is 52 a factor of 10671596? True Is 230712440 a multiple of 1330? True Is 1608 a factor of 691481808? True Is 1406771 a multiple of 3? False Is 158979548 a multiple of 3466? False Is 610 a factor of 9689850? True Is 2048251 a multiple of 39? False Is 5948862 a multiple of 6? True Does 1631 divide 11165826? True Is 5536 a factor of 472388991? False Is 62 a factor of 837356? False Does 13 divide 519739350? True Is 6 a factor of 21304728? True Is 170162453 a multiple of 6? False Is 1512 a factor of 1688262912? True Does 17 divide 149126474? False Is 81 a factor of 11746053? True Does 649 divide 165922994? False Is 13 a factor of 202424833? True Is 58452732 a multiple of 663? True Is 53 a factor of 9022228? False Is 6856672 a multiple of 32? True Is 126 a factor of 59485947? False Is 1657874149 a multiple of 22? False Is 147453199 a multiple of 241? True Does 25 divide 398406483? False Is 96 a factor of 77191079? False Does 7 divide 23478280? True Does 30 divide 8346240? True Does 24 divide 5328292296? True Is 16200794 a multiple of 269? True Does 373 divide 235399351? False Is 10546732 a multiple of 28? True Does 437 divide 112697633? False Is 399554232 a multiple of 196? True Does 15 divide 55337010? True Does 124 divide 59030117? False Is 1463837519 a multiple of 40? False Is 25843263 a multiple of 23? False Is 601 a factor of 108267746? True Is 75 a factor of 3678525? True Is 266 a factor of 362505160? False Is 2 a factor of 46881161? False Is 789946929 a multiple of 653? False Is 264447800 a multiple of 102? False Does 498 divide 321158208? True Is 1481292 a multiple of 222? False Does 129 divide 760190747? False Is 1707 a factor of 81801147? True Is 11 a factor of 184378719? False Does 7 divide 51899694? True Does 9926 divide 1453146548? True Does 3070 divide 67814749? False Is 128486276 a multiple of 772? True Is 324632840 a multiple of 4984? True Is 177112683 a multiple of 5471? True Is 11830236 a multiple of 89? True Is 1487244121 a multiple of 35? False Is 1398 a factor of 210159293? False Does 96 divide 17931143? False Is 56 a factor of 1459256288? True Is 1571421801 a multiple of 454? False Is 275 a factor of 13200830? False Is 482906080 a multiple of 2720? True Is 7 a factor of 1730481823? True Is 84 a factor of 661511256? True Is 215048136 a multiple of 12? True Does 128 divide 157395305? False Is 31 a factor of 14289853? True Is 992905269 a multiple of 3049? False Does 29 divide 329250? False Is 511366536 a multiple of 9? True Is 238251166 a multiple of 64? False Is 839 a factor of 535045402? True Is 179 a factor of 62854776? True Is 43654388 a multiple of 10? False Is 14256165 a multiple of 1155? True Is 14517106 a multiple of 110? False Is 195724 a multiple of 4? True Is 85 a factor of 237152550? True Is 2761396 a multiple of 3? False Does 3 divide 134950159? False Is 267 a factor of 929073509? False Is 42 a factor of 1626597705? False Is 1140 a factor of 20318567? False Is 41575530 a multiple of 2490? True Does 25 divide 452514517? False Does 531 divide 115675164? True Does 357 divide 1222681880? False Does 773 divide 90359062? True Is 46 a factor of 1401557907? False Does 4 divide 5013648? True Is 710 a factor of 317770629? False Is 5 a factor of 462992760? True Is 64 a factor of 4821184? True Is 14 a factor of 7041180? False Is 24873831 a multiple of 27? True Is 21 a factor of 3366362? False Does 28 divide 91880999? False Is 14 a factor of 755665288? True Is 7 a factor of 44412872? True Is 111644148 a multiple of 115? False Is 2340 a factor of 244450917? False Does 156 divide 226148715? False Is 266938447 a multiple of 257? True Is 9279143 a multiple of 19? False Is 209822220 a multiple of 3337? False Is 73069764 a multiple of 2162? False Does 11 divide 77741366? False Is 1136 a factor of 112001989? False Does 40 divide 9528957? False Does 1946 divide 181563111? False Does 2 divide 3160386? True Does 698 divide 70326166? False Is 2226 a factor of 144174652? False Is 53353098 a multiple of 1142? True Is 189327385 a multiple of 527? True Does 196 divide 203937608? True Does 55 divide 188552840? False Does 163 divide 670230898? True Does 24 divide 577955880? True Is 38 a factor of 646521506? False Is 8 a factor of 22770216? True Is 5368 a factor of 2303718187? False Does 3111 divide 6043839252? True Does 44 divide 1388497925? False Is 262 a factor of 21968962? True Is 780 a factor of 1028444040? True Is 7 a factor of 53878223? True Is 916 a factor of 44583717? False Is 369628524 a multiple of 183? True Is 8048430 a multiple of 45? True Does 79 divide 6465394? False Is 14 a factor of 6373920? True Does 12 divide 406531538? False Is 626 a factor of 15263533? False Is 470 a factor of 465769060? True Is 2582535342 a multiple of 21? False Does 1715 divide 24997219? False Is 126 a factor of 16650213? False Does 259 divide 49664603? False Is 107324763 a multiple of 21? True Is 82353374 a multiple of 956? False Does 100 divide 326596200? True Is 64126318 a multiple of 1669? True Does 1865 divide 198969762? False Does 7 divide 31780238? True Is 2 a factor of 2456936? True Does 34 divide 458103760? True Is 18174298 a multiple of 46? False Is 77178025 a multiple of 147? False Does 135 divide 188957388? False Does 11 divide 1859344073? False Does 2288 divide 112286909? False Is 3 a factor of 846548209? False Does 10686 divide 2050479563? False Is 21343275 a multiple of 2175? True Is 135 a factor of 4277414? False Does 280 divide 53668571? False Does 22 divide 3569880? False Is 1149408360 a multiple of 9855? True Is 7907792 a multiple of 10? False Is 1178541496 a multiple of 6248? True Is 828 a factor of 29803807? False Does 17 divide 882084440? True Is 7 a factor of 19278521? False Is 16 a factor of 5379404? False Does 380 divide 335220863? False Does 584 divide 90237344? True Does 23 divide 36123892? True Does 63 divide 618641? False Does 1591 divide 72700750? False Is 656 a factor of 85990448? True Is 14684167 a multiple of 26? False Is 18720880 a multiple of 40? True Does 52 divide 24862153? False Is 45893914 a multiple of 22? True Is 1259 a factor of 57717596? True Is 165 a factor of 6468990? True Is 350917670 a multiple of 3984? False Is 144612804 a multiple of 353? True Does 10 divide 2337317? False Is 164745000 a multiple of 5000? True Does 85 divide 65475925? True Does 471 divide 527866734? False Does 18 divide 106332384? False Is 2123324225 a multiple of 11? True Is 159 a factor of 44277684? True Does 25 divide 49784350? True Does 111 divide 955093? False Does 65 divide 167232469? False Is 471 a factor of 199305029? False Does 102 divide 6964396? False Does 407 divide 197198826? True Does 8 divide 654460436? False Does 29 divide 548274? True Is 64 a factor of 195554304? True Is 246 a factor of 251936454? False Is 21 a factor of 26021651? False Is 909448 a multiple of 9? False Is 382 a factor of 1103374812? False Is 11 a factor of 869066275? True Is 5 a factor of 36959537? False Is 532194649 a multiple of 2606? False Is 1355881518 a multiple of 10? False Is 173708420 a multiple of 10? True Does 28 divide 1697695054? False Is 64564600 a multiple of 265? True Does 246 divide 60072213? False Is 20326640 a multiple of 80? True Is 139 a factor of 49579866? False Is 162 a factor of 729810? True Does 50 divide 55627150? True Does 1674 divide 90637056? True Is 182 a factor of 59472504? True Does 142 divide 66618874? True Is 824837710 a multiple of 41? False Is 36 a factor of 182223504? True Is 396 a
{ "pile_set_name": "DM Mathematics" }
. What is the common denominator of w and -49/3? 6 Let j(d) = 2*d**2 + 3*d + 3. Calculate the lowest common multiple of j(-2) and 17. 85 Suppose -4*k = -5*h - 71, 2*k - 7*h + 4*h = 37. Let d(n) = 5*n - 7. What is the smallest common multiple of d(5) and k? 126 Let m(p) = p**3 + 8*p**2 + 5*p. What is the smallest common multiple of (10/2)/(34/136) and m(-5)? 100 Let x(f) = -7*f - 40. Calculate the lowest common multiple of x(-7) and 11. 99 Let p = -50 + 52. Calculate the lowest common multiple of p and 6. 6 What is the common denominator of (-279)/24*(-4)/3 and -55/9? 18 Suppose -m + 160 = 3*m. Calculate the least common multiple of 10 and (-2 - m)*3/(-9). 70 Suppose -4*w = u - 3*u + 434, -5*w - 4*u - 510 = 0. Calculate the common denominator of 69/22 and -1 - (1 + w/(-40)). 220 Let x(i) = 2*i - 1. Let m be x(2). What is the common denominator of 1 + (105/2 - m) and -5/18? 18 Calculate the common denominator of -53/20 and (-40)/(-50) - 938/160. 80 Suppose -23*t = -15*t - 160. Suppose 3*x = x. Suppose 4*k - 10 = a, x*a - 2*a + 5*k - 5 = 0. Calculate the least common multiple of a and t. 20 Suppose 0 = 3*o + 2*g - 42, 1 = -2*o - 2*g + 31. Let d = 2 + 6. What is the smallest common multiple of o and d? 24 Let q(t) = 66*t**3 - 1. Let s be q(1). Suppose 30 = 5*o + 3*v, -s = 3*o - 8*o + 4*v. Calculate the smallest common multiple of o and 3. 9 Let a = -23595/2 - -12027. Let d = 643/3 - a. Calculate the common denominator of 73/18 and d. 18 What is the common denominator of 1*5 - 6/20 and 43/100? 100 Let m = 17728 + -14838334/837. Let j = m + 69443/11718. Calculate the common denominator of j and 39/14. 14 Let w(z) = z**2 + 18*z + 27. Let y be w(-18). Calculate the common denominator of 18/(4 - (-24)/y) and -97/32. 352 Let v(o) = -3*o - 10. Let p(c) = c**2 + 2*c - 8. Suppose -3*r + 26 = -5*q - r, 5*q = -2*r - 34. Calculate the least common multiple of p(q) and v(-8). 112 Let q = 17 + -12. Let c(x) = -x + 1. Let m be c(-7). Calculate the least common multiple of ((-3)/(-2))/(4/m) and q. 15 What is the common denominator of 115/12 and 946/(-33)*2/(-16)? 12 Let g(r) = 9*r + 15. What is the least common multiple of 5 and g(-1)? 30 Let r = 753 - 7511/10. Find the common denominator of r and -93/2. 10 Let h = -59695/6762 + -6/1127. Calculate the common denominator of 73/2 and h. 6 Let b = -31 + 28924/933. Let k = b - -36385/1866. Find the common denominator of 10/7 and k. 14 Suppose -3*u + 31 = j, 5*u - 2*j = 2*u + 28. Calculate the least common multiple of 12 and u. 60 Let o(y) = -y**3 + 5*y**2 + 7*y. What is the lowest common multiple of o(6) and (42/3 - 2) + -3? 18 Let a(b) = 2*b**2 + 8*b. Suppose 4*y = 5*u - 46, -2*y - 2*y + 4 = 0. What is the lowest common multiple of u and a(-6)? 120 Suppose p - 72 = -2*p. Let d = p - 2. Suppose -3*s + 0*s = 2*u - 70, -3*s + 64 = -u. Calculate the smallest common multiple of s and d. 22 Let s = 3647 + -120424/33. Find the common denominator of s and 133/12. 132 What is the least common multiple of (-5)/(2/3*9/(-12)) and 32? 160 Suppose m = d - 1, -69 = -3*d - 5*m - 26. Calculate the common denominator of -3/16 and (d/(-4))/(48/(-164)). 16 Calculate the common denominator of (0 + 3/36)*-113 and 25/12. 12 What is the common denominator of 115/6 and (-2)/6*-3 + (-553)/(-28)? 12 Let b = -1 + 2. Let j(c) = 3*c**3 - c**2 + 2*c - 1. What is the lowest common multiple of j(b) and (-2)/(-3)*27/2? 9 Let q(n) = n**3 + 3*n**2 + 2*n + 2. Calculate the smallest common multiple of q(-2) and 3. 6 What is the smallest common multiple of (5 + 5)/(1 + 0) and 9? 90 Suppose -j - 14 = j. Let r = -4 - j. Calculate the least common multiple of r and 2. 6 Let h be 6/15 - 796/(-10). Suppose -y = 3*y - h. Calculate the lowest common multiple of y and 8. 40 Suppose -24 = -4*p - l - 2*l, -l = 0. What is the least common multiple of p and 2/(-20)*10*-1? 6 Calculate the common denominator of (30/20)/(15/(-49)) and -93/26. 130 Let v be 4/10 + 54/(-10). Let b(d) = d**3 + 5*d**2 - d + 3. Let r be b(v). Find the common denominator of 4/r + (-1 - -16) and -65/6. 6 Let j be 33/9 - 4/6. Let c = j + -1. What is the lowest common multiple of 10 and c/(2/1) - 0? 10 Let l = 7 + -1. Calculate the smallest common multiple of l and 11. 66 Calculate the common denominator of (3 - 365/105)*(-6)/(-5) and -77/12. 84 Let t = -40/57 + 5359/570. What is the common denominator of t and -47/11? 110 Find the common denominator of 73/12 and 2/5 + 1/((-90)/176). 36 Let q = 5597/40 + -1323/10. Find the common denominator of q and 3*(-1 + 7/(-10)). 40 Suppose 0 = 5*r - 4*r - 5. Suppose -r*g + 15 + 10 = 0. What is the smallest common multiple of g and 2? 10 Let v be ((0 - -3) + -3)/2. Suppose -x - 4*x - 50 = v. Let p = x + 14. Calculate the smallest common multiple of 8 and p. 8 Let i(p) = p**2 + 2*p - 6. Let k be i(-7). Suppose -k = -2*h - 1. What is the least common multiple of h and 12? 84 Let x = -9 + 0. Let m(g) = -g**3 - 8*g**2 + 10*g + 13. What is the lowest common multiple of (4/3)/2*15 and m(x)? 20 Let u = -13 + 15. What is the smallest common multiple of 5 and u? 10 Let s be 6/15*124735/12. Suppose 0*x = -x + 4167. Let b = x - s. What is the common denominator of b and 26/7? 42 Let j = -89443/123894 + -2/6883. Find the common denominator of 105/22 and j. 198 Let t = -4/10019 - -1032149/480912. Find the common denominator of -53/10 and t. 240 Let b(w) = w**3 - 8*w**2 + 9*w - 5. Let r be 3/3*5 - 0. Suppose 0 = -r*y + 18 + 12. Calculate the smallest common multiple of y and b(7). 18 Let o = 45413/2 + -23201. Let i = o - -4877/10. What is the common denominator of i and -23/4? 20 Suppose -f = -6*f + 4*p + 42, 3*f - 5*p = 33. Calculate the least common multiple of 26 and f. 78 Suppose 55 = -4*l - 2*h - 347, 5*h - 183 = 2*l. What is the common denominator of l/(-30)*(-4)/24 and -109/18? 180 Let g(w) = -20*w**3 + 2*w**2 + 7*w + 2. Let x be g(-5). Find the common denominator of -103/10 and x/(-378) + 8/(-28). 90 What is the smallest common multiple of 30 - (4 + -7 - 1*-1) and 20? 160 Suppose -3*f - 28 = -3*x + 2, -3*x - 4*f = 5. What is the smallest common multiple of 6 and x? 30 Let s(g) = g**2 + 2*g + 22. What is the least common multiple of s(0) and 8? 88 Let d = 39 - 547/14. Let g = 3110 + -5144. Let v = 28437/14 + g. What is the common denominator of d and v? 14 Let m be ((-4)/6)/((-2)/(-6)). What is the least common multiple of 5 and 11 - (m - 2)/(-2)? 45 Suppose 25 = 3*u + q, 0 = 4*u - u + 5*q - 29. Calculate the smallest common multiple of u and 28. 56 Suppose -3*i - 38 = -98. Suppose 2*u = -5*k + 120, -i = -4*u - 0*u. What is the least common multiple of k and 14? 154 Let y be (-1)/((-496)/(-335802422)) + 2. Let p = -677026 - y. Let h = -112/31 - p. Find the common denominator of h and -53/9. 72 Suppose 3*p + 6 + 4 = 5*m, m = -3*p + 2. Suppose 27 = -2*a - a - 3*h, 5*a + h + 33 = p. What is the smallest common multiple of 8 and a/9 - 200/(-12)? 16 Let q = -1498543/8109 + -1/40545. Let o = 20503/110 + q. Find the common denominator of o and 75/2. 22 Let w = 4 - -4. Suppose -21 = -m - 2*j, 0*m + 5*m = 5*j + 75. Let o = m - 8. What is the least common multiple of o and w? 72 Let f = 3/302 + -10733/1208. Let z = -29 + 7. Calculate the common denominator of f and (1 - 42/z) + -2. 88 Let z = -1575827/36 - -43776. What is the common denominator of z and 79/20? 180 Suppose -2*v = -7*v - 5. Let x(p) = -2*p + 1. Let i be x(v). Let z(t) = t**2 + 2. What is the lowest common multiple of z(i) and 6? 66 Suppose 0 = 3*n + 3*a - 6, 20 = -0*n + 5*n - 5*a. Suppose 0 = n*t - 4*t + 19. Calculate the least common multiple of t and 6. 114 Let y = 34 + 13. Let g = y - 66. Let z = g + 35. Calculate the least common multiple of 14 and z. 112 Let q = 18263/6 - 3029. Find the common denominator of -109/20 and q. 60 Suppose -63 = h - 15. What is the common denominator of 5/9 and -1 - 4/(-54)*h? 9 Let b = 71557/12 + -5972. Let v = -177 + 2829/16. Calculate the common denominator of v and b. 48 Let i be 3/(-63)*(-15531)/286. Let z = i - -5/1001. What is the common denominator of 25/14 and z? 154 Let m(z) = z**2 + 4*z - 4. Let c be m(-3). What is the common denominator of 51/10 and (-6)/c*(-1)/4? 70 Suppose -3*v + 2*m = -6*v + 120, -m = 0. Find the common denominator of -2*(-2)/(v/51) and 1 +
{ "pile_set_name": "DM Mathematics" }
pose n*r - 19*r - 44 = 0. Let j be p(r). Solve -j*c = -c + 3 for c. -3 Let h = -600 - -912. Suppose -17*i - 227 = -h. Solve -10*c + 5 = -i*c for c. 1 Suppose 5*f - 18 = -3*o, 4*o = -2*f - 0*o + 10. Let a = -1 + f. Suppose 3*c + 5*y = 37, 0 = 5*c + 2*y + 2067 - 2097. Solve -8 = a*p - c*p for p. 4 Let o = 35196 + -35067. Solve 132*q = o*q - 27 for q. -9 Let s be (45 - 27) + 2*(0 + -1). Solve -17*n = -n - s for n. 1 Let k(u) = 10*u - 45. Let m(i) = -7*i + 30. Let x(o) = -5*k(o) - 8*m(o). Let q be x(12). Let b = -51 + q. Solve -b*r + 2*r = 0 for r. 0 Let s = 31482 - 31428. Solve -140 = -34*y + s*y for y. -7 Let j(h) = -208*h + 421. Let l be j(2). Let u be -2*(-2)/(-4)*-3. Solve -l*k = u + 22 for k. -5 Let r(h) = -5*h**3 - h**2 - 6*h - 6. Let o(v) = 12*v**3 + 3*v**2 + 13*v + 12. Let f(z) = -2*o(z) - 5*r(z). Let y be f(-1). Solve y = 2*a - 16 + 12 for a. 2 Let h(g) = -g**3 - 6*g**2 + 2*g - 35. Let d be h(-7). Suppose 0 = -4*y - d + 12. Solve y = 4*s - 13 for s. 4 Let b(i) = -3*i**2 + 20*i + 16. Let l be b(7). Suppose -14*m + l*m = -40. Solve j + j = m for j. 4 Let h = -4 + -361. Let a = h - -368. Suppose -3*w + 2*n + 8 = -2*w, 32 = 5*w - 2*n. Solve w = -a*c - 0 for c. -2 Let l be 12/21 + (-4108)/182. Let p be 9/1 - (-20 - l). Solve -51 = p*r - 16 for r. -5 Suppose 479 = 5*t + 8*t - 67. Solve t*g = -65 - 19 for g. -2 Let x(f) = -11*f**2 - 506*f + 13. Let j be x(-46). Solve -4*u + 29 = j for u. 4 Let t(f) = -2*f**2 + 9*f + 14. Let b(p) = -p + 3. Let m be b(-3). Let s be t(m). Let j be (2 + 0)*15/s*-2. Solve 0*r + 3*r + j = 0 for r. -5 Let q(t) = t**2 - 28*t - 2201. Let o be q(63). Solve -o*a + 14 = 26 for a. -3 Suppose 4 = -5*m - 2*c, 8 = m + 30*c - 34*c. Solve -13*k - 9*k = m for k. 0 Let v(s) = -47*s - 83. Let b be v(-2). Solve 4*j + 45 = -b*j for j. -3 Let m = -4878 - -4919. Solve m*y - 17*y = -144 for y. -6 Suppose 5*r - 15 = -0*r. Suppose 515*j - 175 = 490*j. Solve -r*i = -19 + j for i. 4 Let r be (-2)/(-2 + 10) - 132/(-16). Let p(o) = -5 - 6*o**3 + r*o**2 + 8 - o**3 + 6*o**3. Let f be p(8). Solve -3*k + f = -0 for k. 1 Let v(n) be the third derivative of n**6/120 - 41*n**5/60 - 5*n**4/3 - 27*n**3/2 + n**2 + 85*n. Let c be v(42). Solve c*x = 8*x + 20 for x. -4 Let f(p) = p**3 - 8*p**2 + 17*p + 6. Let k(q) = 6*q**3 - 41*q**2 + 85*q + 31. Let b(x) = -11*f(x) + 2*k(x). Let l be b(-8). Solve -l*c + 10 = -2*c for c. 5 Suppose 4*j = -96 + 268. Suppose -2*t + d - 84 = 0, -5*d = -2*d. Let g = j + t. Solve g = 4*h + 5 for h. -1 Let k = -5745 - -5750. Solve 6*o - k*o = -2*o for o. 0 Let b = 4 + -2. Let a(r) = r**2 + 1. Let h be a(b). Suppose -3*c + 799 = 769. Solve c = -h*x - 15 for x. -5 Let p be ((-78)/(-65))/(2/(2820/(-9))). Let z = -185 - p. Solve 13*b = 14*b + z for b. -3 Let u(v) = v - 11. Let c be u(7). Let r be (8/(-12))/(c/24). Let q be (0 - (-6)/(-2)) + r. Solve d + 0 = -q for d. -1 Let u(y) = 5*y**2 + 6*y - 18. Let p be u(2). Solve 28*n - 70 = p*n for n. 5 Let f = -232 - -45. Let v = f - -189. Solve 5*p + v = -8 for p. -2 Suppose -12*j + 10*j = -8. Let b(v) = 6*v**3 + 7*v**2 - 1 - j*v**2 - 3*v**3 - 4*v**3 + v. Let i be b(3). Solve 0 = -7*k + i*k + 5 for k. 1 Let p be (-12)/((-2)/(-8) - 35/100). Suppose -29*j + p = -5*j. Solve -j*k + 46 = 31 for k. 3 Suppose 0 = -3*y - 4*q + q + 72, 2*q + 6 = 0. Suppose i - 18 = -2*r + 2*i, y = 3*r - 5*i. Suppose 2*s + 2 - 16 = 0. Solve -4*z = r + s for z. -4 Suppose 3*g = 7*g - 12. Let h(l) = 4*l**3 - 4*l**2 - 11*l + 34. Let u be h(2). Solve g*v = -4*v - u for v. -4 Let c = -358 - -356. Let r be ((-8)/(-16))/(2/12). Let a be 3*(c/r)/(2/(-5)). Solve a*k - k = 8 for k. 2 Suppose -5*s + 7*s - 12 = 0. Suppose s = -6*l + 24. Solve -4*z + l*z + 3 = 0 for z. 3 Let g(s) = s**3 - 10*s**2 + 16*s + 13. Let k be g(8). Suppose -d = 2*l - 13, d + 3*l - 13 + 4 = 0. Let c = d - k. Solve h = 3*h - c for h. 4 Suppose -249*q + 39578 = 8*q. Solve b - q = -150 for b. 4 Suppose 102*j - 214*j = -7840. Solve 635*p = 625*p + j for p. 7 Let b be 92/207 - (-32)/(-72). Solve 27*g + 83 - 29 = b for g. -2 Suppose 6*j - 3*j = 15. Suppose -2*s = 2*q - 234, 3*q - s + 0*s - 371 = 0. Let b = q + -122. Solve -25 = -j*k - b*k for k. 5 Let s(c) = 9*c**2 - 28*c + 182. Let q be s(11). Let d = q + -958. Solve -20 = d*a + 5*a for a. -2 Suppose 3*y - 142*g + 144*g - 204 = 0, y - 54 = -3*g. Solve -25*c + c - y = 0 for c. -3 Suppose 52 = 2*w - 4*j, 5*w + 4*j = 71 + 73. Solve -5*r = -w + 53 for r. -5 Suppose -5*b + 8 = -2. Suppose 3*m + 2 = 14. Suppose 2 = i - m. Solve 0 = -4*w + b*w - i for w. -3 Let y(t) = -19*t + 2200 - 4426 + 2192 - t**2. Suppose 4*j + 0*j = -68. Let p be y(j). Solve p = 5*i - 2 - 23 for i. 5 Let p be (2 - 11)*(-14)/(-12)*176/(-132). Solve 9*n + 7*n = p*n for n. 0 Let f(c) = -10*c**3 - 27*c**2 + 36*c + 50. Let u(w) = 7*w**3 + 18*w**2 - 24*w - 33. Let r(o) = -5*f(o) - 7*u(o). Let l be r(-10). Solve 3*s - l = -4 for s. -1 Suppose -10 = -16*i + 20*i + 5*v, -v - 2 = -2*i. Solve i = -16*n + 34*n for n. 0 Let x = -68 + 81. Let v(u) = -2*u + 32. Let d be v(x). Solve 0 = -5*j - d - 9 for j. -3 Let j = 64 - 62. Suppose 4*h = -j*u + 6, 0*u - u - 5 = 0. Solve -15 = -h*g + 7*g for g. -5 Let c = 3483 - 3273. Solve 196 = 7*g + c for g. -2 Suppose 7*t + 276 = -2*r + 5*t, 0 = -r - 3*t - 148. Let b = 136 + r. Let o = -1 - -1. Solve -3 + o = -b*w for w. 1 Let a be (11 - (8 - 11)) + -6. Solve -185 = -a*m - 201 for m. -2 Let y = -3436 + 3446. Solve -4*c + y*c = -0*c for c. 0 Let l(o) = -o**3 - 5*o**2 - 2*o - 7. Let d be l(-5). Solve -d = 1561*x - 1560*x for x. -3 Let x be (0 + 1)/1*1. Let g be (286/(-44))/(x/6). Let m = g - -47. Solve -2*c - m = -0 for c. -4 Let o = 4329 + -4329. Solve -6*a = -o - 6 for a. 1 Suppose 2*l + 2*p = 2, -4*l - p + 40 = 39. Solve 6*h + 29 - 23 = l for h. -1 Let d = 5662 - 5316. Solve 43*m + d - 131 = 0 for m. -5 Let d = -5622 - -5705. Solve -d = 24*w - 203 for w. 5 Suppose 5*s + 11 = 16*s. Let g be -7 + 9 + s/(-1). Solve -x - 2 + g = 0 for x. -1 Let l be ((-1480)/60)/(1/(-18)). Let r = l + -444. Solve r = -6*n + 2*n for n. 0 Suppose 2*d - 11 + 9 = 0. Let g(k) = k**3 - 5*k**2 - 19*k + 7. Let f be g(8). Let m = -45 + f. Solve -u - m = d for u. -3 Let l(m) = -11*m + 2. Let h be l(-2). Let i(d) be the third derivative of -d**4/24 + 4*d**3 - 15*d**2 + 10*d. Let f be i(h). Solve 4*u - 6*u + 10 = f for u. 5 Let y be 2/(-7) - 107/(-7). Suppose 4*l = 12, -3*z + 5 - 2 = -3*l. Solve z*i - y = -i for i. 3 Let h be 18/12 - (9/6 + -2). Let q(r) = 8*r - 2*r + r**3 - 3*r - 6*r**h - 15. Let t be q(6). Solve -d + t = -0*d for d. 3 Let a = -350 - -688. Let w = -326 + a. Solve 9*l - w = 3*l for l. 2 Suppose 25*c + 7245 = 40*c + 90*c. Solve -7*p + c = 41 for p. 4 Let m(r) be the third derivative of 20*r**2 + 0 + 10/3*r**3 + 0*r + 1/6*r**4. Let l be m(-4). Solve l = 4*d - 8 for d. 3 Let m be 59 + (7/(-126))/((-2)/4)*9. Solve m = -20*u - 40 for u. -5 Let i(h) = -h**3 + 17*h**2 - 16*h + 3. Let m be i(16). Suppose -2*v = m*v - 25. Suppose -v*x - 4*j + 25 = -9*j, 4*j + 23 = 5*x. Solve 0*q = q + x for q. -3 Let t = 41 - -6. Let u = 729 - 680. Let d = u - t. Solve -7 = d*s + 1 for s. -4 Let x(j) = -14*j + 1353. Let m be x(93). Solve 3*r + m = 33 for r. -6 Suppose -2*d - 5*q = -45, 5*q = 19*d - 15*d - 75. Solve -3*p = d*p + 115 for p. -5 Suppose 0 = 4*v - 5*v - 2*p + 18, -5*p - 30 = -5*v. Let s(f) = f**3 - 10*f**2 + f + 5. Let g be s(v). Let n be 0 - (-4)/12 - 5/g. Solve -q - 10 + 7 = n for q. -3 Suppose v + 727 = 4*s, -181 = -s - 65*v + 66*v. Suppose -188 + s = -2*c. Solve c*b = -5*b for b. 0 Suppose 0 = -2*h + 2*x - 0*x + 12, 0 = -2*h + x + 9. Let d(m) = 7*m - m**2 - 4*m + 0*m - m + h - m**3. Let t be d(0). Solve -3*y - 15 = -t for y. -4 Let r(p) be the first derivative of -27*p**2/2 - 93*p + 136. Let u be r(-4). Solve -11 = t - u for t. 4 Let j = -965 + 980. Let b(q) = q**2 + 5*q + 7. Let a be b(-4). Solve -21 = -a*m - j for m. 2 Suppose 0 = 4*m - 12 - 8. Let f(y) = -2*y**2 - 16*y - 25. Let q be f(-11). Let r = -85 - q. Solve -m*p + r = 1 for p. 1 Suppose 10 - 10 = -17*t. Let z be t + (11 - 5) - 1. Solve 0*f = z*f for f. 0 Let h = -82 - -29. Suppose u - 56 = 2*u. Let v = h - u. Solve 11 - 26 = v*t for t. -5 Let t(i) = 10*i + 82. Let b be (-3 - (-33)/9)*-6. Let h be b/6*(2 - (-51)/6). Let w be t(h). Solve -w = 5*y - 2 for y. -2 Let t(p) = -163*p - 288
{ "pile_set_name": "DM Mathematics" }
- 3*u = -3*r - 24 for u. 3 Solve 0 = 7*w + f + 17, -4*f = 2*w + 3097 - 3081 for w. -2 Solve -4*y + 10 = -d, 6*d - 10*d - 2*y = 4 for d. -2 Solve 108*a = -78*x + 83*x - 191, 0 = 2*a - 3*x - 11 for a. -2 Solve h = -2, -78981*p - 38 = -78986*p + 4*h for p. 6 Solve 21*r + 25 = 17*r - q, 0 = -q - 5 for r. -5 Solve -m = 3*o - 59 + 46, 0 = -4*o - 4*m + 28 for o. 3 Solve 2*g + 58 = 12*o, -159*g - 4*o = -154*g + 77 for g. -17 Solve 42*d + 4*a = 37*d + 5, 3*d = -4*a + 3 for d. 1 Solve 157*f + 4*b = -162*f + 313*f + 24, 5*f = -b + 6 for f. 0 Solve -2*y - r = 0, 5*y + 4 = 23*r - 26*r for y. 4 Solve -3*b - 5*r + 2850 - 2831 = 0, 0 = -4*r + 20 for b. -2 Solve 2*y + 3*t + 53 = 0, -72 = -0*y + 2*y + 4*t for y. 2 Solve n + 4*g + 42 = 0, 1459 - 1496 = -2*n + 3*g for n. 2 Solve 2*g - 89*d + 2 = -93*d, -g + 4*d - 7 = 0 for g. -3 Solve -162 = -3*z + 29*l, -z = l - 10 + 20 for z. -4 Solve -10*h = 5*a - 360 + 390, -2*h = -5*a - 18 for h. -1 Solve 2*a - 5*i + 16 = -20, -i + 3 = a for a. -3 Solve -13*n - w - 39 = 0, -4*n + 6470*w - 12 = 6467*w for n. -3 Solve 3*k - k = 3*k + 4, 2*z = 3*k + 18 for z. 3 Solve 62*t = d + 65*t + 15, -2*t = -5*d + 10 for d. 0 Solve -3*y = 2*y + 5*t, 5*y - 5*t + 50 = -0*t for y. -5 Solve -2*i + 4*f - 10 = 0, 23 = 5*i - 736*f + 738*f for i. 3 Solve 2*x + 17 = -32*d + 35*d, -d + 22 = -3*x for x. -7 Solve 4*s = 5*d + 7, 3*s + 7*d - 413 = -440 for s. -2 Solve 5*q = -2*s - 10, 24*q = 6*s + 20*q - 8 for s. 0 Solve -11 = -4*u + 909*q - 914*q, -4*u + 2*q = 10 for u. -1 Solve -4*m = -5*q - 4, -114*m - 20 = 2*q - 111*m for q. -4 Solve -2 = 2*l - 2*c, 0 = -23*l + 20*l + 4*c - 8 for l. 4 Solve -5*l - 5 = 5*p, -7*l - 10244*p + 10245*p = 39 for l. -5 Solve b - 90*c + 91*c + 3 = 0, -15 = b + 5*c for b. 0 Solve a - 8 = 5*m, -135*a + 2 = -138*a + 2*m for a. -2 Solve -u - 1 = -3*n, 0 = -5*n - 5*u + 186 - 211 for n. -1 Solve -2*f - h = 10, 9888*f - 10*h = 9883*f - 25 for f. -5 Solve -2*s = 5*g + 15, -2*s = -137*g + 138*g - 5 for g. -5 Solve -a - 35 = -2*f - 40, 0 = -a - 5 for f. -5 Solve 3*c = -4*t + 14, -5*c - 25*t = -17*t - 26 for c. 2 Solve -13 = i + 4*m, -5*m = 5*i + 105 - 100 for i. 3 Solve 48 = -16*j - 4*l, -3*l - 43 = 2*j - 17 for j. -1 Solve 2*j = -y + 1, -3 = 4*y + 69*j - 68*j for y. -1 Solve 382*s + 17 = 5*h + 386*s, -5*s - 25 = -3*h for h. 5 Solve 5*o - 13 = -2*i, -158*o + 153*o + 21 = 4*i for i. 4 Solve -s = 5*r - 1, r = -4*s + 36912 - 36889 for s. 6 Solve 2*u - 14 = -g, -1086*u - 24 = -1089*u - 2*g for u. 4 Solve 40 = -5*w + 3*t, -10*t = -5*w - 15*t for w. -5 Solve a + 8 = 4*z, -z + 3043 = -4*a + 3026 for a. -4 Solve 2*j + 75*x - 76*x = -10, -10*j - 26 = x for j. -3 Solve 4*a = -20, 0 = -2*x + 128*a - 122*a + 40 for x. 5 Solve 44*i - 46*i - 19 = -3*f, -3*i - 21 = -3*f for f. 5 Solve -1 = -z + c, -54*c + 57*c + 3 = 4*z for z. 0 Solve -4*b - b = 2*d - 13, 0 = -2*d + 5*b - 17 for d. -1 Solve 5*g + b - 12 = 0, b - 8638 = 2*g - 8647 for g. 3 Solve 0 = 3*q - d - 13, 271*q + 5*d + 26 = 273*q for q. 3 Solve -i + 2*j - 9 = 0, -2*j = 2 - 6 for i. -5 Solve 5*g = 25, -22*x + 30 = -17*x - 5*g for x. 11 Solve -250*f + 14 = -245*f - 3*l, 7*l - 34 = -5*f for f. 4 Solve 0 = -4*a - v - 19, a - 2*v = -0*a + 11 for a. -3 Solve -5*p + j + 51 = 23, 0 = -3*p + 2*j + 28 for p. 4 Solve 4*r - 1 = m + 3, -1181*m = -1180*m - 5*r + 4 for m. -4 Solve 5*b + 4*p + 8 = 7*p - 0*p, -12 = 3*p for b. -4 Solve 218*j - 31 = 223*j + 3*f, 5*f + 25 = -3*j for j. -5 Solve -3*r + 9 = 3*x, r + 27 = -10*x + 14*x for r. -3 Solve 4*x + 27 = -11*r, -126*x - 23 = 3*r - 121*x for r. -1 Solve -14*y - 3*y + 12 = 3*r - 14*y, 3 = 3*y for r. 3 Solve -158*m + 155*m + 10*b + 46 = 0, 2*b + 10 = m for m. 2 Solve -5*g + 41 = -4*f, 7*f - 252 = -3*g - 265 for f. -4 Solve 4*s = -5*g + 60, -3*g = 5*s - 43 - 6 for g. 8 Solve 0 = -5*j - 2*y + 4*y - 4, 3*y = -164*j + 167*j - 3 for j. -2 Solve 3*g - 7*p - 36 = -4*p, 2*g + 309*p = 306*p - 16 for g. 4 Solve -11*k + 10*k + 3*a = 13, 36 = 13*k + 2*a for k. 2 Solve -4*v + 179 = 3*y + 156, 13*y - 4*v + 71 = 0 for y. -3 Solve -3*c = h + 1159 - 1178, -5*h - 3*c = -83 for h. 16 Solve -q = 1, -4*q + 18 = -5*z + 49 + 93 for z. 24 Solve -z = -2*u - 5, 6878 - 6859 = 5*z - 4*u for z. 3 Solve -a + 15 = 8003*s - 8002*s, 4*s = 3*a - 31 for a. 13 Solve -l - 9154*b = -9157*b - 47, b - 11 = -5*l for l. 5 Solve 5*g - 31 = 29*l - 35*l, -g + 2*l = -3 for g. 5 Solve -c = -4*j + 49, 6 = -3*c - 5*j + 80 for c. 3 Solve 33 = 3*z - 2*u, 19*u + 120 = 4*z + 8*z + 15*u for z. 9 Solve 0 = -8*z + 5*b - 4, -2*z = -5*b - 5 - 9 for z. -3 Solve 2*a + g = -5, 0 = a - 4413*g + 4416*g + 15 for a. 0 Solve -4*f + 2 + 34 = 3*t, 5*f = 15 for t. 8 Solve 51 = 4*o - 3*c, 292*o - 5*c - 56 = 295*o for o. 3 Solve 0 = -5*s + 3*d - 23, 14*s + 7 = 13*s + d for s. -1 Solve 3*d + 30989 = 4*m + 31012, -3*d + 29 = 2*m for m. 1 Solve -5*l - 4*m = -2, 4*l = 2*m + 75 - 63 for l. 2 Solve p + 117 = 5*r + 130, 7 = p - 2*r for p. 3 Solve 18500*i - 5*l + 12 = 18501*i, 3*i + l = 22 for i. 7 Solve 0 = -9*b + 5*p - 77, 16 - 97 + 31 = -5*p for b. -3 Solve 3*j - 7*h + 5 = 0, -35 + 36 = -j + 3*h for j. -4 Solve 1201*q - 1200*q + 2*j + 9 = 0, 4*j + 14 = 2*q for q. -1 Solve -4 = -4*o - 2*f + 8, 0 = 171*f - 169*f for o. 3 Solve -383*d + 17 = -t - 390*d, 5*t = -3*d + 11 for t. 4 Solve j + 7 = 2*r, 45*r + 4*j - 8*j = -9 for r. -1 Solve 5*c + 4*z = -262 + 230, -5*c - 11 = -3*z for c. -4 Solve -2*p - d = -4, -31 = 3*p + 2*d - 40 for p. -1 Solve -3*f - 2412 = -2*g - 2430, -14 = 2*g - 2*f for g. -3 Solve -20 = -5*n + 3*p, -3*n - 6*p = -5*p + 2 for n. 1 Solve 12*p - 11*p + 3*n = -14, 23 = 3*p - 4*n for p. 1 Solve 44 = -5*j + 3*x, 134*j - 138*j + 5*x - 30 = 0 for j. -10 Solve 2*t + w = -1890 + 1903, 5*t - 2*w - 10 = 0 for t. 4 Solve -2 = 135*u - 137*u, -2*x = 2*u for x. -1 Solve -5*p + 3 = -3*z, -z - 2*p = 28220 - 28208 for z. -6 Solve -4*v - x - 41 = 0, -151 = v + v - 43*x for v. -11 Solve -2*n + 24561*t + 11 = 24556*t, 22 = -5*n - 4*t for n. -2 Solve 295*b - q = 299*b + 33, -2*b + 4*q - 30 = 0 for b. -9 Solve 35*u - 6*b + 0*b = 36*u - 9, -4*b = -4 for u. 3 Solve 6*w = -5*s + 10, 4*w + 4*s - 1220 = -1216 for w. 5 Solve 3*u + 14 = 4*a, 4*u + 5*a - 1161 + 1128 = 0 for u. 2 Solve -30*y = -32*y + b + 16, -5*y + 25 = -b for y. 3 Solve 1661*i = 5*v + 1657*i - 9, 0 = -3*v - 5*i - 2 for v. 1 Solve -5*h = 2*f + 3, -149*f + 153*f - h = 27 for f. 6 Solve 3*q - 8 = -5*a - 10, 8*a - 4 = q - 13 for a. -1 Solve 2*q + 10 = 4*r, -4*r + 2227*q = 2226*q - 7 for r. 1 Solve 0 = -31*y + 65*y - 36*y - 6, 3*x - 3*y - 21 = 0 for x. 4 Solve 33 = 4*w - 4*u + 25, -2*w + u + 9 = 0 for w. 7 Solve 0 = z + 3*t - 25, -3*z + 3281*t = 3280*t - 35 for z. 13 Solve -799 = -2*h + 2*q - 809, -18 = -4*q + 6 for h. 1 Solve 4 - 24 = -5*b, b = 7*q + 39 for q. -5 Solve 5*p - 2*k = 29, -10 = -4*p + 243*k - 248*k for p. 5 Solve 3*x + 3*j + 6 = 0, -90*x = -94*x + 4*j - 24 for x. -4 Solve -219*l - 24 = -223*l - 2*c, -6*c = 5*l - 37 for l. 5 Solve q = s - 10, 5*q - 359*s + 360*s = 16 for q. 1 Solve j - 152 + 163 = -4*v, 5*j + 21*v + 58 = 0 for j. 1 Solve -3*o + 12 = 3*r, 1573*o - 2 = -6*r + 1578*o for r. 2 Solve -3*c = 6, -28 = 3*o - 136*c + 141*c for o. -6 Solve -34*g + c = -37*g + 3, -5*g = c - 7 for g. 2 Solve -5*u - 47 = 3*p - 38, 3 = -u for p. 2 Solve 0 = g - 2*s - 4, 4*g + 4*s + 13 = 5 for g. 0 Solve p + 27*l + 22 = 23*l, -3*p + 5*l = -2 for p. -6 Solve 27*g + 3*l = 24*g + 3, -2*g + 2*l = 14 for g. -3 Solve -44*i - 2*g = 14, -17*g - 7 = 4*i - 16*g for i. 0 Solve -28*b + 29*b = 5*x - 9, -4*b - 21 = -5*x for x. 1 Solve 2*j + 14 = 2*z, z - 753*j = -750*j + 25 for z. -2 Solve -159 + 155 = -n, 20 = -4*f + n for f. -4 Solve 137*j + 38 = 143*j + 4*c, -4 = 4*c for j. 7 Solve -2*t + 3*l + 22 = 0, 91*l = 93*l + 8 for t. 5 Solve q + 8488 = 3*n + 8499, -17 = q + 4*n for q. -1 Solve -17938*k = -17941*k + 5*p - 5, 0 = -4*k - p + 24 for k. 5 Solve 0 = -2*y + h - 166 + 181, -5*y + 5*h + 45 = 0 for y. 6 Solve 313*i - 316*i - 3*b + 3 = 0, 2*i - 5*b = 16 for i. 3 Solve -134*j + 131*j = -2*v + 5, -5*v + 6 = -j for v. 1 Solve 0 = -2*b + 465*s - 462*s + 36, 46*b = 5*s + 188 for b. 3 Solve 0 = 74*z - 70*z - 3*n - 18, 0 = -4*z - 5*n - 62 for z. -3 Solve -m + 80*d = 78*d + 7, -5*m + 30 = 3*d for m. 3 Solve 5*x = 4*g + 29, 14*g - 4*x - 14 = 17*g for g. -6 Solve 0 = 3*u - v + 29, -706*u + 711*u + 3*v = -39 f
{ "pile_set_name": "DM Mathematics" }
(t) = l(t) + 3*r(t). Give p(-1). 0 Suppose 7*x - 5*f - 2 = 4*x, 3*x = 2*f - 1. Let l(p) = -26*p**3 - p**2 - 2*p - 1. Determine l(x). 26 Let w(a) = -7*a**2 - 4*a - 5. Suppose 0 = -4*s - c - 21, -6*s - 22 = -s - 3*c. Let u(p) = -3*p**2 - 2*p - 2. Let m(l) = s*u(l) + 2*w(l). Determine m(-3). 3 Let a(y) = y**3 + 10*y**2 + 10*y + 13. Let z be a(-9). Let j(s) = 0*s + 4 + s**2 - z + 4*s - 4. Let w be -3 + (-3 - -1 - 0). Calculate j(w). 1 Let n = 22 - 16. Let u(d) = 3 + n*d - d - 51*d**2 + 50*d**2. Determine u(4). 7 Let c(f) = -632*f**3 + 2*f + 631*f**3 - 6 - f**2 + 4. Give c(1). -2 Let a(x) be the second derivative of -9*x + 0 + 1/2*x**2 + 1/3*x**3. Suppose 3*s = -5 - 4. Determine a(s). -5 Suppose -10*w + 8*w + 14 = 0. Let v(s) = -8*s + 45. Let u be v(w). Let i(l) = l**2 + 13*l + 12. Calculate i(u). -10 Suppose 2*m - 2 - 12 = 0. Let q(a) = 5 - 3 - 15*a - a**2 + 5*a + 2*a**2. Determine q(m). -19 Let q(b) = -2913 - 4*b + 2913. Let k = 15 + -10. Let i = k - 7. Calculate q(i). 8 Let o(q) be the third derivative of -q**4/24 - 6*q**3 - 262*q**2. Calculate o(0). -36 Let a(t) = -3*t**3 + 10*t**2 + 8*t - 9. Let c(b) = 5*b**3 - 11*b**2 - 9*b + 8. Let w(l) = -3*a(l) - 2*c(l). Calculate w(-7). 4 Let b = 10961 - 10967. Let q(x) = 2*x + 10. Let g(d) = 5*d + 21. Let n(h) = 3*g(h) - 7*q(h). Calculate n(b). -13 Suppose -21*r - 30 = -16*r. Let v(i) = -i**2 - 7*i - 4. Determine v(r). 2 Let u(q) be the first derivative of q**4/4 - 2*q**3 + q**2 - 7*q + 1843. Let z be 10/(-25)*(-15 + 0). Give u(z). 5 Let q(b) = b + 5. Suppose -71*z + 9*z - 310 = 0. Give q(z). 0 Let k(r) be the second derivative of -r**3/6 + 33*r**2/2 - 519*r. What is k(17)? 16 Let d(m) be the first derivative of 3*m + 1/4*m**4 - 1 - m**2 - 4/3*m**3. Let n(z) = z**3 - 52*z**2 - 105*z - 158. Let l be n(54). Determine d(l). -5 Let i(b) = 15*b - 46. Let v be i(-6). Let u = -134 - v. Let t(c) be the third derivative of -c**5/12 + c**4/12 + c**3/3 + c**2. What is t(u)? -14 Let i(d) be the second derivative of d**4/12 + d**3/3 + d**2/2 + 35*d. Calculate i(-2). 1 Let p(t) = -t**2 - 7*t + 1. Suppose -198 = 3*u + 3*q, 5*u + 4*q = 3*u - 136. Let h = u + 58. Calculate p(h). 7 Let y(n) = n**2 - 9*n - 34. Let s be y(12). Let q(p) = -17 + 28 - p**s - 6*p - 9. Determine q(-7). -5 Let g(c) = -9*c**2 + 4*c + 1. Let v(m) = -21*m**2 + 9*m + 2. Let z(i) = -5*g(i) + 2*v(i). Determine z(-1). 4 Let f be ((-8)/(-3))/((-16)/(-72)). Let v = f + -7. Let s(q) be the third derivative of q**5/60 - q**4/4 + q**3/2 + 20*q**2. Give s(v). -2 Let d(k) = -k + 3. Let j = -851 + 847. Give d(j). 7 Let l(x) = x**2 - 20*x + 22. Suppose -7*v = 45*v - 988. Determine l(v). 3 Suppose -19*z = -14*z + 20. Let g = z + 4. Let c(s) = 0*s**2 + g + 4*s**2 + 2 - 1. Calculate c(1). 5 Let k(h) = -2*h**2 + 4*h - 2. Let s(r) = -r**3 - 7*r**2 + 6*r - 11. Let n be s(-8). Let w(t) = 4*t - 12. Let u be w(n). Let q be u/3 - 10/15. What is k(q)? -2 Let n(i) be the first derivative of i**2/2 - 2*i + 1. Suppose 3 = b - 0*b. Suppose -5*f + b*f = -4. What is n(f)? 0 Let o(t) = -3*t**3 + t**2 - 1. Let m = 17 - 14. Suppose m*d - 3 = 6*d. Give o(d). 3 Let z(a) = -5*a**3 - 13*a**2 - 13*a + 11. Let u(o) = o**3 + o**2 - o - 1. Let p(f) = -6*u(f) - z(f). Let w be p(9). Let v(j) = j**2 - 2*j - 2. What is v(w)? 6 Let q(d) = d**2 - 12*d + 20. Suppose -5*n + 5*t + 40 = 0, 0 = -5*t - 19 + 29. What is q(n)? 0 Let u(k) = -k + 3. Let a be u(0). Let i(h) = 25*h**3 + 3 - h + 0 + 0 - 26*h**3 + 4*h. What is i(a)? -15 Let b(n) = 5*n**3 + 6*n**2 - 19. Let s(x) = -2*x**3 + x**2 - x. Let a(g) = b(g) + 2*s(g). What is a(-8)? -3 Let c(h) = 3*h**2 + 4*h - 11. Let j be c(-7). Let f be (j/(-8))/3*2/3. Let d(i) be the second derivative of -i**3/6 - 3*i**2/2 - i. Calculate d(f). 0 Let s(x) = 5*x**3 - 4*x**2 + 7*x + 3. Let z(d) = 8*d**2 - 13*d - 47 - 9*d**3 + 24 + 18. Let u(f) = 7*s(f) + 4*z(f). What is u(4)? -11 Suppose 0 = -f - 28 - 3. Let v = -18 - f. Suppose -v = -s - 0*r + 5*r, -2*s + 2 = -4*r. Let b(h) = h**2 + 8*h. What is b(s)? -7 Let y = -3 - -4. Let s be (y - -2 - 3) + 3. Let x be -4 - (-4)/6*s. Let m(r) = -r**3 - 2. Determine m(x). 6 Suppose -40*m - 50 = -15*m. Let n(p) = 2*p + 1. Determine n(m). -3 Let r(m) = -m + 10. Let y = 312 - 303. Determine r(y). 1 Let o(n) be the first derivative of -6*n + 0*n**2 - 1/3*n**3 - 2. Let f(u) = -u**2 + 9*u + 70. Let j be f(-5). What is o(j)? -6 Let u be 34 - (1 + 8 - 5). Suppose 4*r = 9*r + u. Let m(x) be the second derivative of -x**3/6 - x. Calculate m(r). 6 Let g(r) = 3*r - 1. Let z(h) = -3*h - 7. Let v be z(-3). Suppose -3*q = 3*y - 66, 0*q + 63 = 3*y + v*q. Let x = y - 18. Calculate g(x). 2 Let n = 5 + -3. Let o(k) = -4*k**2 - 4*k**2 + k + k**2 + 2*k**n. Suppose 5*h = -0*h - 2*a + 5, -3*h + 3 = -2*a. Calculate o(h). -4 Let i(u) = u - 14*u**3 - 3*u**2 - 7*u**3 + 20*u**3 - 2. Give i(-3). -5 Let x(o) = -5*o**2 + 2*o + 2. Let q = 19 + -11. Let b be (-70)/(-21) + q/(-6). What is x(b)? -14 Let r be 1 - 3/(-1) - (1 - -7). Let o(l) be the first derivative of -l**3/3 - 3*l**2 - 6*l + 9. Determine o(r). 2 Let r(l) be the third derivative of l**6/120 - l**4/24 - 7*l**3/6 - 22*l**2 + 2. Give r(0). -7 Let g(o) = 2*o. Let j be 4/(-6) - (40/(-24) - -1). Suppose j = 2*l - 5*v + 1, -l + 2 = 3*v + 8. Give g(l). -6 Let g(x) = -x - 5. Suppose -3*n - 2*z + 50 = 0, 0 = n - z + 2*z - 17. Let k be 15/(-3)*n/20. Calculate g(k). -1 Suppose 5*z = 9 + 26. Suppose -i = z*i + 40. Let l(u) = 9 + 2 - 3*u - 6 - 6*u**2 - u**3 + 2. Give l(i). -3 Let w(f) = -f - 1. Let d(p) = 2*p + 2. Let n(m) = -6*d(m) - 11*w(m). Let t = -6 + -4. Let g = t - -12. Give n(g). -3 Let d(v) = -5*v**3 - v**2 - v - 1. Suppose -83 = 5*g + 122. Let z = g - -44. Let n(u) = u**2 - 10. Let y be n(z). Give d(y). 4 Let v be 7 + 1 + 3/(-3). Suppose 7 = 2*h - v. Let x be (-3)/h - 4/7. Let j(w) = -15*w**3 - 2*w**2 - w. Calculate j(x). 14 Let l(i) be the third derivative of -i**5/30 - i**4/24 - 8*i**2 + 12. Calculate l(1). -3 Let z = -640 + 631. Let k(u) = u**3 + 6*u**2 - 28*u - 8. What is k(z)? 1 Suppose -8*b - 158 - 114 = 0. Let j be (-17)/b + (-18)/(-4). Let i(t) = -2*t + 1. Give i(j). -9 Let g(i) be the third derivative of 49*i**4/24 - i**3/2 - 11*i**2. Let z(m) = -16*m + 1. Let o(j) = -2*g(j) - 7*z(j). Give o(-1). -15 Let x(z) = 2*z**3 - z**2 - 2*z - 1. Suppose -p + 11 = -0*p. Let o = p - 6. Suppose o*l = l - 4. Calculate x(l). -2 Let y(q) = 0 - 8 + 3*q + q**2 + 11. Let h(z) = -z**2 - 12*z - 13. Let s be h(-11). What is y(s)? 1 Let v(r) = -14*r**2 - 12*r. Let n(a) = -5*a**2 - 4*a. Let o(t) = -17*n(t) + 6*v(t). Determine o(6). 12 Let l be 0*(-1 + (-8)/(-12)). Let t(y) = -9*y + 2*y + l*y**3 - y**3 + 8*y. Give t(-2). 6 Let l(w) = -w**2 - 8*w - 2. Let b(h) = -h**2 - 7*h - 2. Let o(y) = 2*b(y) - 3*l(y). Suppose -9 = 3*u + 15. Calculate o(u). -14 Let w(x) be the first derivative of 4*x**3 - x - 84. Calculate w(1). 11 Let m(s) = -s**3 + 2*s**2 + 2*s + 4. Suppose 50*d = 25*d + 75. Give m(d). 1 Let m(h) = 7*h + 0*h**3 - 1 - 4 - 7*h**2 - 2 + h**3 - 2. Let l(f) = 2*f - 8. Let r be l(7). Determine m(r). -3 Let b(f) = f - 7. Let w(r) = 6*r - 48. Let k(o) = -27*b(o) + 4*w(o). Let j(x) = -x + 2. Let n(v) = 2*j(v) - k(v). Calculate n(-10). -3 Let a(i) = 5*i + 1. Let r(g) = -2*g**2 + 5*g + 21. Let z be r(5). Calculate a(z). -19 Let a(g) = 3*g**2 + 16*g**2 - 2*g**2 - 1 - 3*g**2 - 13*g**2 + g. Determine a(1). 1 Let g(t) be the third derivative of 0 + 0*t + 1/4*t**4 + 7/6*t**3 + 1/60*t**5 + 22*t**2. What is g(-6)? 7 Let z(r) = r**2 - 14*r + 11. Suppose 0 = 4*i + 44 - 96. Determine z(i). -2 Let j(g) = 6*g**3 - 4 + 1008*g**2 + 5 - 1009*g**2. What is j(-1)? -6 Let z(g) be the first derivative of -2*g**3/3 - 2*g + 38. Calculate z(3). -20 Let n = -29 + 52. Let a = -28 + n. Let l(r) = r**2 + 3*r - 3. Calculate l(a). 7 Let j(a) = 53 + 27*a**2 - 28*a**2 - 49 - a. Calculate j(3). -8 Let b(r) = -3*r + 3. Let l be b(-3). Suppose 5*d + 18 + l = 0. Let k(z) = -10*z - 11. Let g(u) = u + 1. Let t(h) = 22*g(h) + 2*k(h). Give t(d). -12 Let x(n) be the first derivative of -n + 1/2*n**2 + 19. Let i = -1 + -1. Give x(i). -3 Let r(h) be the first derivative of h**2/2 + 4*h - 269. Calculate r(5). 9 Let q(x) be the third derivative of x**9/60480 - x**8/5040 + x**7/2520 - x**6/180 - x**5/3 - 12*x**2. Let t(g) be the third derivative of q(g). Determine
{ "pile_set_name": "DM Mathematics" }
3154 and 35? 39165770 What is the smallest common multiple of 8359260 and 43992? 2357311320 Calculate the common denominator of -37/6192 and 79/56760. 340560 Calculate the common denominator of -9/64 and -103/1508592. 6034368 Calculate the smallest common multiple of 4247150 and 169886. 4247150 Calculate the least common multiple of 23019360 and 234. 69058080 What is the lowest common multiple of 5555814 and 1? 5555814 Calculate the least common multiple of 137153184 and 72. 411459552 What is the least common multiple of 4312 and 51048? 27514872 Calculate the smallest common multiple of 3770850 and 3770850. 3770850 Calculate the least common multiple of 138335 and 26530. 1936690 What is the lowest common multiple of 1188 and 43152? 4272048 What is the least common multiple of 32208 and 175568? 353418384 Find the common denominator of 149/702 and 9/3583. 2515266 Calculate the common denominator of -29/229020 and 43/4920. 18779640 Calculate the common denominator of -133/8246124 and -23/29. 239137596 Calculate the common denominator of 49/2 and 21/272360. 272360 Calculate the least common multiple of 220 and 1348796. 74183780 Calculate the common denominator of -32/545067 and 47/97. 52871499 What is the smallest common multiple of 104 and 41574? 166296 Calculate the smallest common multiple of 53694 and 131621892. 394865676 What is the common denominator of -97/144 and -19/6461424? 6461424 What is the least common multiple of 444136 and 117832? 5773768 Find the common denominator of -17/49 and -97/9639658. 67477606 What is the common denominator of -39/273700 and 19/27370? 273700 Find the common denominator of -121/39648 and 151/11240208. 22480416 What is the smallest common multiple of 11 and 16134629? 177480919 What is the common denominator of 41/4799596 and -75/2399798? 4799596 What is the lowest common multiple of 133 and 67053931? 1274024689 Calculate the least common multiple of 513183 and 27. 4618647 Calculate the common denominator of -26/181595 and 53/326871. 1634355 What is the common denominator of -109/58968 and -1/226512? 14270256 What is the common denominator of -101/12739260 and -63/142190? 751616340 Calculate the common denominator of 69/88 and -23/33078. 1455432 Calculate the lowest common multiple of 1614624 and 168190. 8073120 Calculate the common denominator of 23/1974 and 49/315969. 207907602 What is the least common multiple of 535161 and 5011053? 55121583 Calculate the common denominator of -31/40 and 119/2055020. 4110040 Find the common denominator of -115/1362 and 65/90042. 20439534 What is the common denominator of 13/3924 and -13/34883052? 104649156 Find the common denominator of -25/8704 and 31/833024. 14161408 What is the common denominator of 97/200644 and 173/61362? 12640572 What is the smallest common multiple of 6394 and 22057? 6131846 What is the common denominator of 19/2453044 and -97/644674? 2794017116 Calculate the lowest common multiple of 5247 and 37493313. 112479939 Find the common denominator of -2/10502893 and -9/217. 73520251 What is the smallest common multiple of 88851 and 448486? 9418206 Find the common denominator of -77/12 and -70/658629. 2634516 Find the common denominator of 87/173210 and 89/2459582. 12297910 Find the common denominator of 1/116678 and 91/2570. 583390 What is the lowest common multiple of 2086 and 53466? 7966434 What is the common denominator of 9/12520564 and 29/247709? 137726204 Find the common denominator of 61/1494850 and -103/3288670. 16443350 What is the common denominator of 85/774392 and 11/72? 6969528 What is the common denominator of -59/4437 and 43/131881937? 1186937433 Calculate the smallest common multiple of 36832 and 20718. 331488 Find the common denominator of -74/255 and -53/3458100. 58787700 What is the lowest common multiple of 101343 and 227650159? 682950477 Calculate the smallest common multiple of 7647812 and 92. 175899676 What is the lowest common multiple of 9 and 1557746? 14019714 Calculate the least common multiple of 48606756 and 81011260. 243033780 What is the lowest common multiple of 4392 and 7515594? 1833804936 What is the common denominator of -11/63604940 and 97/176? 2798617360 Find the common denominator of 83/156210892 and 67/8. 312421784 What is the least common multiple of 50 and 51685? 516850 Calculate the lowest common multiple of 17459079 and 201. 1169758293 Find the common denominator of 35/197658 and 163/66808404. 66808404 Find the common denominator of -107/5556 and 137/12334320. 12334320 What is the common denominator of 23/30250 and -19/378650? 229083250 Find the common denominator of -99/4 and 1/5662408. 5662408 Calculate the common denominator of -97/23948256 and 29/57384. 71844768 What is the least common multiple of 55 and 488778? 26882790 What is the common denominator of 47/204981096 and -55/2034? 614943288 What is the common denominator of 67/15808 and 101/4736? 1169792 Calculate the common denominator of -8/2013 and -59/1923. 1290333 What is the common denominator of -15/1798 and 88/12617175? 782264850 Calculate the common denominator of 25/238527 and 145/6528. 30531456 What is the least common multiple of 12 and 2665626? 5331252 What is the lowest common multiple of 52 and 4388007? 17552028 Find the common denominator of 81/5271410 and -61/174550. 26357050 What is the common denominator of -19/14232393 and -73/221535? 640457685 What is the least common multiple of 9349167 and 288? 897520032 What is the least common multiple of 2513840 and 1885380? 7541520 What is the common denominator of 73/46 and -53/3839778? 88314894 Calculate the common denominator of -61/930 and 103/120647040. 120647040 What is the common denominator of -25/54 and -41/195257688? 1757319192 What is the lowest common multiple of 72135190 and 8371? 793487090 What is the common denominator of -11/518 and 27/68848? 17831632 Calculate the common denominator of -111/6550 and -1/510. 334050 What is the common denominator of 131/180 and -101/5235180? 15705540 What is the smallest common multiple of 3052 and 69542? 973588 What is the common denominator of -16/15 and -3/7690570? 23071710 What is the least common multiple of 35364 and 46620? 19627020 Find the common denominator of 23/97258 and 79/2142. 14880474 Find the common denominator of -65/8277 and 95/32860806. 2924611734 Calculate the smallest common multiple of 19018608 and 50232. 247241904 What is the lowest common multiple of 17524060 and 10? 17524060 What is the common denominator of 109/1104 and 109/34909488? 802918224 What is the common denominator of 23/87525 and -89/2923335? 14616675 What is the least common multiple of 1220368 and 680? 103731280 Find the common denominator of -109/4256406 and -131/13398. 123435774 Find the common denominator of 57/1085924 and -8/1900367. 7601468 Calculate the least common multiple of 7542342 and 223335. 263981970 What is the common denominator of -149/124320 and -127/41188770? 659020320 Find the common denominator of 113/24 and -101/343964454. 1375857816 Calculate the common denominator of 79/2576 and -61/41384. 1903664 Calculate the common denominator of -5/14 and 37/35288678. 247020746 Find the common denominator of 111/10 and -54/7385585. 14771170 Find the common denominator of 151/480 and -76/816537. 130645920 What is the common denominator of 47/3002920 and -91/960? 72070080 What is the common denominator of 103/34 and 52/21922571? 43845142 Calculate the common denominator of -97/7327060 and -125/4396236. 21981180 Find the common denominator of -13/247635 and 14/137575. 1238175 What is the lowest common multiple of 888762 and 42322? 888762 Find the common denominator of -155/271524 and -119/263538. 8960292 Calculate the smallest common multiple of 1530 and 722466. 3612330 Calculate the smallest common multiple of 1606 and 178090. 13000570 What is the lowest common multiple of 8023850 and 858950? 328977850 Calculate the smallest common multiple of 285 and 2825. 161025 Calculate the common denominator of -29/66010280 and 67/23575100. 330051400 Calculate the lowest common multiple of 1150 and 15433. 771650 Calculate the least common multiple of 9100 and 140203. 182263900 Find the common denominator of 61/3639993 and -81/4726. 123759762 Find the common denomi
{ "pile_set_name": "DM Mathematics" }
104. Let d(l) = -18*l**3 + 21*l**2 + 6*l - 17. What is 37*d(w) - 6*m(w)? -6*w**3 + 3*w**2 - 5 Let c(t) = 7*t**3 + 2*t**2 + 43*t - 4. Let h(l) = -28*l**3 - 9*l**2 - 165*l + 17. Determine 9*c(k) + 2*h(k). 7*k**3 + 57*k - 2 Let w(x) = 6*x - 41. Suppose -6*v + 6*v = 15*v + 75. Let o(c) = 4*c - 27. Give v*w(q) + 8*o(q). 2*q - 11 Suppose -2*h + 36 = h. Let g(m) = -1. Let t(j) be the second derivative of j**3/3 + 5*j**2 - 4334*j. Calculate h*g(w) + t(w). 2*w - 2 Suppose 6*s = s - 20. Let k(g) = -14*g - 232. Let q(x) = 21. Let f(j) = k(j) + 12*q(j). Let y(i) = 5*i - 7. Give s*f(a) - 11*y(a). a - 3 Let w(p) = -25*p - 89. Let h(g) = 7*g + 22. Give 22*h(u) + 6*w(u). 4*u - 50 Suppose -4 - 6 = 5*s + 4*r, 4*r + 4 = -2*s. Let w(m) = 2*m**2 + 2*m + 2. Let g(x) = -9*x + 47 - 29 - 8*x**2 - 27. Determine s*g(h) - 9*w(h). -2*h**2 Let j(q) = 2 + 0 - 4*q + q. Let o(g) = -g - 2. Let i(y) = -5*y - 2*y - 489 + 474 - 8*y. Let z(u) = -i(u) + 10*o(u). Give 5*j(m) + 2*z(m). -5*m Let o(p) = -p**2 + p + 1. Let a be (7/5 + -1)/((-7)/35). Let v(s) = s - 2*s - 108 + 92. Let c be v(-17). Let q(j) = j**3 - 2*j**2 + j + 1. Give a*o(n) + c*q(n). n**3 - n - 1 Let x(r) = 7*r**2 + 2*r + 4. Let o(a) = -827*a + 20*a**2 + 1653*a + 11 - 820*a. What is 6*o(n) - 17*x(n)? n**2 + 2*n - 2 Let m(p) = 140*p**2 + 10*p + 8. Let x(r) = 139*r**2 + 13*r + 10. Determine 5*m(w) - 4*x(w). 144*w**2 - 2*w Let k(j) = -16268*j**2 + 20*j - 140. Let g(v) = -2324*v**2 + 3*v - 21. Calculate 40*g(m) - 6*k(m). 4648*m**2 Let t(b) = 75*b + 15 - 16 + 74*b - 150*b. Let y(c) = 4*c**3 + 13*c**2 + 2*c + 2. Calculate 2*t(l) + y(l). 4*l**3 + 13*l**2 Let h(x) = x - 3099. Let j(p) = 5*p - 12399. Calculate -13*h(c) + 3*j(c). 2*c + 3090 Let p(t) = 439*t**2 - 4*t + 1. Let o(i) = -439*i**2 + 3*i - 1. Give -10*o(c) - 8*p(c). 878*c**2 + 2*c + 2 Let s(r) = -35*r**2 + 5*r + 7. Let m(a) = a**2 + a + 1. Determine -2*m(b) + s(b). -37*b**2 + 3*b + 5 Let i(b) = -b**3 + 9*b**2 - 8*b + 2. Let h be i(8). Let s(n) = 7*n - 3 - 3 + 23 - h. Let o be 44/(-55) - 68/(-10). Let y(t) = 2*t + 4. Give o*s(v) - 22*y(v). -2*v + 2 Let q(o) = 14*o**3 - 3*o**2 + 5286. Let x(z) = 10*z**3 - 2*z**2 + 5283. What is 2*q(d) - 3*x(d)? -2*d**3 - 5277 Let x(n) = 157*n - 2823. Let c be x(18). Let f(g) = g**2 - g - 1. Let q(y) = -2*y**2 + y + 5. What is c*f(p) + q(p)? p**2 - 2*p + 2 Let z(v) = -5*v**3 + 3*v - 7. Let r(y) be the second derivative of -3*y**5/10 + 2*y**3/3 - 4*y**2 + 5*y - 53. Give -3*r(l) + 4*z(l). -2*l**3 - 4 Let i(h) = -3*h**3 + h + 11. Let u(m) = -1312*m**3 + 123*m + 1353. Determine 246*i(o) - 2*u(o). 1886*o**3 Let p(t) = 1 + 8 - 11*t - 3 + 12*t. Let u = -1 + -4. Let f(a) = -a - 7. Suppose -r = r + 4*w + 8, -w + 12 = -3*r. Calculate r*f(i) + u*p(i). -i - 2 Let y = -15 - -18. Let z(p) = 2*p**3 - 2*p - 2. Let n(l) = l + 1. Suppose -17*t - 71 + 65 + 108 = 0. What is t*n(g) + y*z(g)? 6*g**3 Let c(p) = 13*p**2 + 4*p - 22. Let m(d) = 6*d**2 + 3*d - 11. What is 3*c(h) - 5*m(h)? 9*h**2 - 3*h - 11 Let s(v) = v**2 - 247*v - 33. Let i(k) = k**2 - 83*k - 12. Give -11*i(p) + 4*s(p). -7*p**2 - 75*p Let q(d) = 10*d - 3. Let l(g) be the second derivative of -3*g**3/2 + 2*g**2 - 18*g + 79. Determine -4*l(h) - 3*q(h). 6*h - 7 Let y(u) = -10*u. Let b be y(-2). Suppose b = l - 0. Let o be l/28 + (-10)/14 + 1. Let a(q) = q**2 - q. Let m(v) = -v. Calculate o*a(c) - m(c). c**2 Let f(l) = -5*l**2 - 4*l - 9. Let d(m) = 14*m**2 + 11*m + 26. Let v = 4222 - 4218. Give v*d(g) + 11*f(g). g**2 + 5 Let f(u) = -u**2 - u. Suppose 4*g + 188*y = 190*y - 10, 3*g + 6*y = -45. Let d(k) = 3*k**2 + k + 1. What is g*f(w) - 2*d(w)? -w**2 + 3*w - 2 Let z(l) = -6*l**3 + 22*l**2 + 7*l + 6. Let k(p) = 7*p**3 - 17*p**2 - 9*p - 8. Determine 3*k(c) + 4*z(c). -3*c**3 + 37*c**2 + c Let m(y) = 823*y + 9. Let d(k) = -2477*k - 26. Determine -6*d(s) - 17*m(s). 871*s + 3 Let j be 12/11*((-2)/6 + (-70)/(-12)). Let c(r) = -4*r - 9. Let o(z) = 9*z + 19. Give j*o(s) + 14*c(s). -2*s - 12 Let a(h) = 6*h - 3. Let v(b) = 40*b - 8. Let q(x) = -19*x + 4. Suppose 3*z - o + 27 = 8, 4*z + 19 = -5*o. Let l(i) = z*v(i) - 13*q(i). Give 4*a(d) - 3*l(d). 3*d Suppose 239*g + 1173 = -739. Let i(n) = -12*n**3 - 20*n - 11. Let f(s) = 4*s**3 + 7*s + 4. Give g*f(p) - 3*i(p). 4*p**3 + 4*p + 1 Let m(y) = -2*y**2 - y + 5. Let f(h) = h**2 - 1. Suppose -4*w - 33*i + 32*i = 9, -3 = -i. Give w*f(p) - m(p). -p**2 + p - 2 Let a(s) = -52*s**2 - 47*s - 11. Let i(h) = 32*h**2 + 32*h + 8. Give 5*a(j) + 8*i(j). -4*j**2 + 21*j + 9 Let a(k) = -23409*k**2 + 11711*k**2 + 11713*k**2 + 4*k. Let x(s) = 16*s**2 + 5*s. Determine 3*a(w) - 2*x(w). 13*w**2 + 2*w Let q(d) = 5*d**3 + 5*d**2 - 2*d + 2. Let l(g) = -66*g**3 - 66*g**2 + 27*g - 27. Suppose 255*p = 246*p - 243. Give p*q(w) - 2*l(w). -3*w**3 - 3*w**2 Let o(w) = 3180*w - 98. Let d(g) = -3179*g + 78. Determine -5*d(y) - 4*o(y). 3175*y + 2 Let w(y) be the first derivative of y**2/2 + 4*y - 3655. Let p(v) = -v - 2. Calculate -7*p(s) - 3*w(s). 4*s + 2 Let c = -21304 - -21308. Let h(k) = -k**2 - k. Let d(x) = x**2 + x. What is c*d(u) + 5*h(u)? -u**2 - u Let j(d) be the third derivative of -d**5/60 + 1201*d**2. Let w(z) = -15*z**2. Give 36*j(y) - 3*w(y). 9*y**2 Let q(s) = s**2 - 2*s + 7. Let z(w) = 5*w**2 - 11*w + 35. Let c be 217/(-651) + (-34)/(-3). Give c*q(d) - 2*z(d). d**2 + 7 Let d(j) = 208*j**2 - 12*j + 6. Let v(g) = -209*g**2 + 9*g - 4. Give 3*d(y) + 4*v(y). -212*y**2 + 2 Suppose 2*t - 5*n - 12 = 0, 3*n + 0 + 7 = t. Let h(l) = -2 + t + l - 36*l**2 + 37*l**2. Let o(z) = z**2 - 5*z + 5 - 2*z**2 + 0. Calculate 5*h(v) + o(v). 4*v**2 Let v(x) = -2*x**3 + 2*x**2 - 4*x - 158. Let k(w) = w**3 - w**2 + w - 1. What is 4*k(u) + v(u)? 2*u**3 - 2*u**2 - 162 Suppose -4*a = -2*h - 50, -4*h + 0 = -4*a + 60. Let s(d) = -d**3 - 5*d**2 + 3*d + 5. Let b(l) = -2*l**2 + l + 2. Give a*b(f) - 4*s(f). 4*f**3 - 2*f Let b(w) = -5*w**2. Let a = 1 + -3. Let k(p) be the third derivative of 11*p**5/6 - 6*p**2 + 82*p. Give a*k(o) - 45*b(o). 5*o**2 Let h(a) = -456 + 252 - 7*a - 19*a**3 + 10*a**2 + 211. Let n(g) = 6*g**3 - 3*g**2 + 2*g - 2. Give 4*h(i) + 14*n(i). 8*i**3 - 2*i**2 Let g(o) = -6412*o**3 - 2748*o + 687. Let s(h) = h**3 + 4*h - 1. Give g(j) + 687*s(j). -5725*j**3 Let u(v) = v**3 + 7*v**2 - v + 6. Let h(p) = p**3 + 6*p**2 + 7. What is 7*h(l) - 6*u(l)? l**3 + 6*l + 13 Let n(z) = 32*z**3 + z**2. Let p be 170/(-58) - (-5)/(-4)*(-728)/(-13195). Let m(h) = -32*h**3 - h**2. Determine p*m(a) - 4*n(a). -32*a**3 - a**2 Let i(x) = 27*x**3 - 15*x**2 - 15. Let y = -374 - -390. Let l(a) = -9*a**3 + 9*a**2 + y*a**3 - 13*a**2 - 4. Give 4*i(d) - 15*l(d). 3*d**3 Let h(o) = -2*o**3 - 175*o + 2. Let v(s) = 2*s**3 + 172*s - 2. Determine -3*h(m) - 4*v(m). -2*m**3 - 163*m + 2 Let l(f) = -f**2 - f + 1. Let v(j) = -3*j**2 - 4*j + 2*j + 2*j + 5*j + 16*j**2 - 3*j**2 - 5. Suppose 0 = 4*a - 16, 3*a - 6 = -y + 1. Give y*l(x) - v(x). -5*x**2 Let i(c) = -19*c**3 - 3*c**2 + 5. Let j(n) = 3 + 1191*n**3 - 602*n**3 - 599*n**3 - n**2. Give 3*i(f) - 5*j(f). -7*f**3 - 4*f**2 Let a be -9 - 45/(-27)*3. Let k be -8*(a/8 - 0). Let v(g) = -5*g**2 - 4*g - 4. Let u(h) = -14*h**2 - 11*h - 11. What is k*u(m) - 11*v(m)? -m**2 Let m(u) = -2*u**3 - 2*u**2 + 2*u. Let k(a) = -a**3 - 20*a**2 + 48*a + 93. Let c be k(-22). Let t(o) = -4*o**3 - 4*o**2 + 3*o. Determine c*m(w) - 3*t(w). 2*w**3 + 2*w**2 + w Let b(p) = 52*p**3 + 15*p**2 - 5*p + 28. Let o(u) = 52*u**3 + 12*u**2 - 4*u + 26. Give 4*b(q) - 5*o(q). -52*q**3 - 18 Let a(h) = 27*h**3 - h**2 + 6*h - 85. Let k(d) = 38*d**3 - d**2 + 8*d - 127. What is 7*a(m) - 5*k(m)? -m**3 - 2*m**2 + 2*m + 40 Suppose 63 + 9 = 24*a. Let w(u) = -5*u**2 - 4*u + 2*u + 6*u**2 - a*u**2 + 6. Let h(b) = -3*b**2 - 3*b + 7. What is -4*h(x) + 5*w(x)? 2*x**2 + 2*x + 2 Let o(b) = -14*b**3 + b**2 + 4. Let k(n) = 31*n**3 - 3*n**2 + n - 10. Give -2*k(i) - 5*o(i). 8*i**3 + i**2 - 2*i Let y(f) be the first derivative of -f**3/6 - 130*f - 81. Let z(s) be the first derivative of y(s). Let u(j) = 2*j + 2. What is u(r) - z(r)? 3*r + 2 Let z(k) = 8079*k + 40. Let h(n) = 8078*n + 50. Give -4*h(i) + 5*z(i). 8083*i Let h(b) = 50*b + 198. Let j(a) = 165*a + 594. Give -10*h(x) + 3*j(x). -5*x - 198 Let p(i) = 4740*i**2 + 7*i. Let x(u) = 2369*u**2 + 3*u. What is -3*p(r) + 7*x(r)? 2363*r**2 Let m(s) = 15*s**2 - 4*s - 199. Let g(p) = 40*p**2 - 18*p - 796. Calc
{ "pile_set_name": "DM Mathematics" }
4159*x/2 + 27080189/2 = 0? 37/35, 19781 Factor -q**3/2 - 10841*q**2/2 - 14102352*q + 3221619318. -(q - 211)*(q + 5526)**2/2 Factor p**2/7 + 6927*p/7 + 4681512/7. (p + 759)*(p + 6168)/7 Find y such that 16*y**5 + 2665936*y**4 - 3078993692*y**3 + 887496010552*y**2 - 885188098256*y + 221104754080 = 0. -167770, 1/2, 574 What is v in 3*v**5/7 - 101322*v**4/7 - 21920361*v**3/7 - 12352212*v**2 - 86060148*v/7 = 0? -211, -2, 0, 33989 Factor o**3/7 + 23076*o**2/7 - 4314708*o. o*(o - 1242)*(o + 24318)/7 Let -4*y**2 - 67756*y - 5931552 = 0. Calculate y. -16851, -88 Determine a, given that 2*a**4 + 26896*a**3 + 114508740*a**2 + 148915950912*a - 149030486550 = 0. -5487, -2475, 1 Factor -2*o**3/9 - 61876*o**2/3 + 5291008*o - 3049717760/9. -2*(o - 128)**2*(o + 93070)/9 Find p, given that 2*p**3/5 - 168*p**2 - 812834*p/5 + 9871512/5 = 0. -469, 12, 877 Suppose -4*c**2/9 - 1255148*c/3 + 3765448/9 = 0. What is c? -941362, 1 Suppose -4*n**4/7 + 178520*n**3/7 - 1963068*n**2/7 - 1070856*n = 0. What is n? -3, 0, 14, 44619 What is o in 2*o**2/5 - 1230923424*o/5 + 189396559468985472/5 = 0? 307730856 Find u such that -u**5/6 + 763397*u**4/6 - 194260362235*u**3/6 + 5492798072895309*u**2/2 - 21969638241254748*u + 43938240459815592 = 0. 4, 254463 Determine z, given that -2*z**5 - 25696*z**4 + 4412014*z**3 - 183661148*z**2 - 380661112*z - 192562256 = 0. -13018, -1, 86 Suppose 7*w**4/4 + 121*w**3/4 - 31*w**2 - 145*w + 144 = 0. What is w? -18, -16/7, 1, 2 Find n such that 213*n**2/4 + 1867*n/2 - 3947/4 = 0. -3947/213, 1 Solve 2315*h**3/2 + 30175*h**2 + 2080*h = 0 for h. -26, -32/463, 0 Determine g, given that -720*g**4 + 27364*g**3 + 568*g**2 - 27364*g + 152 = 0. -1, 1/180, 1, 38 Find j, given that -18*j**5/11 + 11436*j**4/11 - 1647912*j**3/11 + 3802020*j**2/11 - 2705958*j/11 + 540432/11 = 0. 1/3, 1, 216, 417 Suppose 3*h**5 + 70644*h**4 + 282495*h**3 - 776934*h**2 + 423792*h = 0. What is h? -23544, -6, 0, 1 Suppose -3*k**5 - 19830*k**4 + 457323*k**3 - 2348658*k**2 - 3819744*k + 5730912 = 0. What is k? -6633, -2, 1, 12 Suppose -m**2 + 560057406*m - 78416074503862209 = 0. Calculate m. 280028703 Determine p, given that -2*p**3 - 8286*p**2 + 91352*p - 149544 = 0. -4154, 2, 9 Suppose -522*t**5 + 1546*t**4 + 5280*t**3 + 200*t**2 = 0. What is t? -2, -10/261, 0, 5 Factor -3*m**4 - 4120164*m**3 - 1414654189212*m**2 - 5658567314976*m - 5658550834368. -3*(m + 2)**2*(m + 686692)**2 Factor -3*m**3 + 508032*m**2 - 21507534711*m - 43017101574. -3*(m - 84673)**2*(m + 2) Factor -b**2/2 + 22842909*b + 45685820. -(b - 45685820)*(b + 2)/2 Find j, given that 2*j**2/15 + 151768*j/5 - 455306/15 = 0. -227653, 1 Factor -2*i**2/5 - 9664*i/5 - 9654. -2*(i + 5)*(i + 4827)/5 Suppose 5*z**5/3 - 12460*z**4/3 + 1030425*z**3 - 9161800*z**2/3 - 49780*z/3 + 4071920 = 0. Calculate z. -1, 2, 276, 2213 Let -l**5/2 + 397*l**4/2 + 771963*l**3 - 496101476*l**2 + 2954970320*l - 3931713600 = 0. What is l? -1329, 2, 4, 860 Factor -3*d**2/7 - 3210*d/7 + 105792/7. -3*(d - 32)*(d + 1102)/7 Let 3*v**4 - 594243*v**3 + 29435082561*v**2 - 794314085049*v = 0. What is v? 0, 27, 99027 Factor x**4 + 5560*x**3 + 11116*x**2. x**2*(x + 2)*(x + 5558) Factor -3*q**2/2 - 17805489*q - 105678479509707/2. -3*(q + 5935163)**2/2 Factor -o**3/9 - 6197164*o**2/9 - 9601191819205*o/9 + 19202458004450/3. -(o - 6)*(o + 3098585)**2/9 Factor -3*c**3 - 2289*c**2 - 48837*c + 51129. -3*(c - 1)*(c + 23)*(c + 741) What is f in -f**5 - 216150*f**4 - 11679557147*f**3 + 70085340654*f**2 + 11679557148*f - 70085124504 = 0? -108078, -1, 1, 6 Determine m, given that m**4/3 + 533051*m**3 + 4797452*m**2/3 + 1066100*m = 0. -1599150, -2, -1, 0 Factor 2*b**2 + 3039072*b + 1154494827648. 2*(b + 759768)**2 Factor 50*b**3 + 7070005*b**2/2 + 2827978*b + 565594. (4*b + 282797)*(5*b + 2)**2/2 Factor -3*g**3 - 115149*g**2 + 85020936*g - 15546153168. -3*(g - 364)**2*(g + 39111) Solve -q**3/4 - 27737633*q**2/2 - 769376284442689*q/4 = 0. -27737633, 0 Let -20*s**2/19 - 161266*s/19 - 209612/19 = 0. Calculate s. -8062, -13/10 Determine h so that -h**4 + 2720803*h**3/4 + 6121821*h**2/4 + 4081217*h/4 + 680203/4 = 0. -1, -1/4, 680203 What is a in 2*a**2/3 + 23762536*a/3 - 7920846 = 0? -11881269, 1 Suppose -4*g**3 + 5232*g**2 - 91760*g - 1444800 = 0. Calculate g. -10, 28, 1290 Factor -f**2 - 6663108*f - 11099252054916. -(f + 3331554)**2 Suppose 3*h**4 + 2037*h**3 + 37707*h**2 - 2469333*h - 2505006 = 0. What is h? -658, -47, -1, 27 Factor -4*m**2 - 178005896*m - 1980381188172676. -4*(m + 22250737)**2 Factor 5*w**3 - 535570*w**2 - 2677975*w. 5*w*(w - 107119)*(w + 5) Factor -4*w**4 + 59028*w**3 - 2589488*w**2. -4*w**2*(w - 14713)*(w - 44) Suppose -t**2/3 - 67967*t/3 - 2920732/3 = 0. Calculate t. -67924, -43 Suppose -2*w**3/9 - 8794*w**2/9 - 26200*w + 87400 = 0. Calculate w. -4370, -30, 3 Find w, given that 2*w**2 + 159140*w + 1432098 = 0. -79561, -9 Find g such that 5*g**3 - 8511290*g**2 + 68090080*g - 136180000 = 0. 4, 1702250 Suppose -a**5/5 - 551*a**4/5 + 51272*a**3/5 - 259852*a**2 + 1775200*a + 4673600 = 0. Calculate a. -635, -2, 20, 46 Find r, given that -866*r**4/5 + 28602*r**3/5 + 249482*r**2/5 - 1864506*r/5 + 10296 = 0. -11, 12/433, 5, 39 What is y in -35*y**2 + 119457000*y - 17065285 = 0? 1/7, 3413057 Solve y**4 + 4358*y**3 + 427101*y**2 - 12139992*y + 76626000 = 0 for y. -4257, -125, 12 Let y**5/2 + 123*y**4/4 - 97*y**3/4 - 45897*y**2/4 - 68449*y/4 - 11385/2 = 0. What is y? -55, -23, -1, -1/2, 18 Factor 3*p**3 - 29169*p**2 + 4900686*p - 4871520. 3*(p - 9552)*(p - 170)*(p - 1) Factor -281*z**2 - 8673628*z/3 - 10289/3. -(z + 10289)*(843*z + 1)/3 Determine p, given that -3*p**2/7 + 316168*p/7 - 2318404/7 = 0. 22/3, 105382 Let -2*l**3/19 - 1328768*l**2/19 - 220704378490*l/19 - 441403441924/19 = 0. Calculate l. -332191, -2 Suppose -45*g**2 + 446415985*g - 99203550 = 0. Calculate g. 2/9, 9920355 Factor -3*j**3/5 + 50124*j**2/5 - 43088988*j + 10078655520. -3*(j - 8230)**2*(j - 248)/5 Suppose 3*d**2/2 + 16878*d - 1525095/2 = 0. What is d? -11297, 45 Factor -o**2/8 - 10070213*o/4 - 101409189865369/8. -(o + 10070213)**2/8 Solve -s**2/2 - 3021002*s - 18126003/2 = 0 for s. -6042001, -3 Determine y, given that -y**5/7 + 97*y**4/7 + 13308*y**3/7 + 148324*y**2/7 + 436784*y/7 + 385152/7 = 0. -68, -8, -2, 177 Factor 3*b**4/7 + 84360*b**3 + 30700956*b**2/7 + 399086064*b/7. 3*b*(b + 26)**2*(b + 196788)/7 Factor -2*i**2/5 - 25936*i - 46938528/5. -2*(i + 364)*(i + 64476)/5 Determine u so that 2*u**2/17 + 265278*u/17 + 3448276/17 = 0. -132626, -13 Solve -4*z**5 + 23924*z**4 + 95748*z**3 + 71820*z**2 = 0. -3, -1, 0, 5985 Solve 4*h**3/5 - 10399596*h**2/5 + 20799132*h - 51997780 = 0 for h. 5, 2599889 Factor 4*f**2 + 7895264*f + 3895949601856. 4*(f + 986908)**2 Factor -4*l**2 + 9604*l - 5054152. -4*(l - 1622)*(l - 779) Determine d, given that -1331*d**5/5 + 9378347*d**4/5 - 19605432*d**3/5 + 13947712*d**2/5 - 4170112*d/5 + 450816/5 = 0. 4/11, 1, 7044 Let 2*r**5/13 - 56826*r**4/13 + 403336580*r**3/13 + 341770176*r**2 + 4039618880*r/13 = 0. What is r? -10, -1, 0, 14212 Factor 3*n**2 - 37627917*n - 37627920. 3*(n - 12542640)*(n + 1) Find g such that 3375*g**4/4 - 1096910775*g**3/4 - 219382335*g**2/2 - 14625493*g - 650022 = 0. -2/15, 325011 Factor 3*d**3 + 2538*d**2 + 118413*d + 999438. 3*(d + 11)*(d + 38)*(d + 797) Let 3*z**5 + 2604*z**4 - 846720*z**3 = 0. What is z? -1120, 0, 252 What is k in -338*k**3 + 48264*k**2 + 418314*k + 84560 = 0? -8, -35/169, 151 Factor -4*k**4 - 944632*k**3 - 55701578880*k**2 + 8152578740736*k. -4*k*(k - 146)*(k + 118152)**2 Find r such that 3*r**2/5 + 35600778*r/5 + 105617949517107/5 = 0. -5933463 Find b such that 2*b**4/5 - 9282*b**3/5 + 865458*b**2/5 - 7811558*b/5 + 1391076 = 0. 1, 9, 85, 4546 Factor 2*q**3/5 + 57968*q**2/5 + 83623330*q - 5569756500. 2*(q - 66)*(q + 14525)**2/5 Suppose -10059*w**5 - 492894*w**4 - 8037288*w**3 - 43608162*w**2 - 13005*w = 0. What is w? -17, -15, -1/3353, 0 Let 3*r**2 + 16988862*r - 16988865 = 0. Calculate r. -5662955, 1 Solve -5*t**3 + 236229355*t**2 - 2790215290071120*t - 2790215526300480 = 0 for t. -1, 23622936 Find v, given that 5*v**5 - 46630*v**4 + 605655*v**3 - 2887670*v**2 + 5960800*v - 4470240 = 0. 2, 3, 4, 9313 Determine k so that -3*k**5 + 2670*k**4 - 566007*k**3 - 12847380*k**2 + 96887700*k = 0. -26, 0, 6, 455 Solve -5*k**3/4
{ "pile_set_name": "DM Mathematics" }
6 = -3*a, -a - 2*f + 2 = -0*f. Find the second derivative of r + a*r**2 - 2*r + 3*r wrt r. 4 Let l(d) = 3*d**3 - 5*d**2 - 4*d + 4. Let v(a) = -a**3 + a**2 + a - 1. Let y(f) = -l(f) - 4*v(f). What is the third derivative of y(n) wrt n? 6 Let b(l) be the second derivative of -2*l**5/5 - l**2 + 8*l. Differentiate b(u) with respect to u. -24*u**2 Let g(d) = -d**3 - 5*d**2 + d + 7. Let s be g(-5). Find the second derivative of -2*x**3 - s*x**3 + x**3 - 6*x wrt x. -18*x Let p(u) be the third derivative of -17*u**8/336 - 19*u**5/60 - 15*u**2. What is the third derivative of p(x) wrt x? -1020*x**2 Let o(r) = -r - 1. Let x(v) = 2*v + 1. Let u(q) = 5*o(q) + 2*x(q). Let t be u(-5). Find the second derivative of -5*k**t - k + 3*k**2 - 2*k wrt k. -4 Let u = -32 - -23. Let p(h) = h**3 + 8*h**2 - 9*h + 2. Let d be p(u). What is the third derivative of -3*f**d + 3*f**2 + 2*f**2 - 3*f**6 wrt f? -360*f**3 Let j(p) = 29*p - 101. Let d(a) = 188*a - 656. Let k(g) = -5*d(g) + 32*j(g). Differentiate k(u) with respect to u. -12 Let t(j) be the third derivative of 2*j**5/15 - 2*j**3 + 6*j**2. Let c(n) = -1. Let r(l) = -2*c(l) + t(l). Differentiate r(b) wrt b. 16*b Let u = -1 + 4. Let w = 0 - -2. What is the second derivative of 2*v**3 + w*v**u + v - 2*v**3 wrt v? 12*v Let c(k) be the first derivative of k**7/420 + k**6/180 + 2*k**3/3 - 2. Let i(w) be the third derivative of c(w). Find the third derivative of i(q) wrt q. 12 Differentiate -2 + 3 + 9*s - 15 wrt s. 9 Suppose 0 = -2*c + 9 + 1. Let i(o) be the first derivative of -1/5*o**c + o**2 + 0*o**4 + 0*o**3 - 3 + 0*o. What is the second derivative of i(j) wrt j? -12*j**2 Let a(o) = -o - 1. Let w(f) = 1. Let v(y) = y + 2. Let k(m) = v(m) - 2*w(m). Let h(u) = 4*a(u) - k(u). What is the first derivative of h(l) wrt l? -5 Differentiate -3*d**4 - 8 + 11 + 7*d**4 + 9 with respect to d. 16*d**3 Let r = 8 + -7. Let o(i) = -i**6 + 4*i**4 + 2*i**2 - 4*i + 4. Let a(x) = x**4 - x + 1. Let d(h) = r*o(h) - 4*a(h). What is the third derivative of d(p) wrt p? -120*p**3 Let u(b) be the first derivative of 0*b**5 + b**3 + 0*b**6 + 0*b**4 + 0*b**2 + 2 - 3/7*b**7 + 0*b. Find the third derivative of u(z) wrt z. -360*z**3 Let j(l) = -6*l - 1. Suppose 5*b + 0*s = 2*s - 7, 0 = -b - 2*s + 1. Let f be j(b). What is the third derivative of y**2 + 0*y**f + 2*y**2 - 3*y**5 wrt y? -180*y**2 Let n(b) be the first derivative of -1/40*b**5 - 1/12*b**4 + b**3 + 0*b + 2 + 0*b**2. Let q(m) be the third derivative of n(m). Differentiate q(w) wrt w. -3 Find the third derivative of -50*b**2 + 3*b**6 + 52*b**2 + 3*b**6 wrt b. 720*b**3 Let g(v) = v**3 + 8*v**2 - v + 1. Let o be g(-8). Find the second derivative of -o*c**3 + 3 + 12*c - 3 - 13*c wrt c. -54*c Let v(r) = r**5 + r**2. Let w(x) = 21*x**6 - 5*x**5 - 14*x**2. Let y(l) = -5*v(l) - w(l). Find the third derivative of y(u) wrt u. -2520*u**3 Let r(d) = -38*d**2 - 3*d + 2. Let o(s) = -153*s**2 - 11*s + 9. Let t(v) = 2*o(v) - 9*r(v). What is the second derivative of t(n) wrt n? 72 What is the second derivative of 14*o + 87*o**3 + 14*o**4 - 43*o**3 - 44*o**3 wrt o? 168*o**2 Let j = 10 - 10. Let r(n) be the first derivative of j*n - 2 - 2/3*n**3 + 1/2*n**2. Find the second derivative of r(k) wrt k. -4 Let p(q) = -2*q**2 + 4 - 3 + 3*q**2. Let d(g) = -g**3 - 3*g**2 - 4. Let t(n) = -2*d(n) - 6*p(n). Find the first derivative of t(k) wrt k. 6*k**2 Let w(i) be the third derivative of 1/336*i**8 + 0*i**5 + 0 + 0*i**7 + 0*i**6 + 5/24*i**4 + 0*i + 0*i**3 + 3*i**2. What is the second derivative of w(f) wrt f? 20*f**3 Let c(u) = 3*u**2 - u - 4 + 5 - 2. Let o be c(-1). Differentiate -o - 2*r**2 - 1 + 2 with respect to r. -4*r What is the first derivative of 0*f**3 - 14 + 4 + 0*f**3 - 2*f**4 wrt f? -8*f**3 What is the second derivative of -11*m**2 + 5 - 5 + 38*m**4 - 23*m - 39*m**4 wrt m? -12*m**2 - 22 Let a(n) be the first derivative of 0*n + 1 - 3/2*n**2 - 1/3*n**3. Find the second derivative of a(q) wrt q. -2 What is the derivative of 0 + d**2 - 1 + 5 + 4 wrt d? 2*d Let x = 10 - 18. Let t = 13 + x. Find the second derivative of t*a - 4*a - a**5 - a**5 wrt a. -40*a**3 Let f(x) = x - 5. Let i be f(8). Suppose -2*y + 6 = 4*o, 0 = -i*y + o - 3*o + 9. What is the second derivative of 5*h**y - 3*h**3 + 5*h - 3*h wrt h? 12*h Let q(p) be the first derivative of 3*p**2/2 + 8*p + 6. Differentiate q(n) wrt n. 3 Suppose -m - 2*m = -30. Let o be m/4*4/5. Find the second derivative of -2*n**2 - 3*n**4 + o*n**2 - 3*n wrt n. -36*n**2 Let n(c) be the third derivative of c**7/42 - 9*c**4/8 - 9*c**2. What is the second derivative of n(o) wrt o? 60*o**2 Let g(n) = n - 8. Let x be g(10). Suppose 4*o = x*p + 13 + 3, 4*o + 2*p = 8. What is the derivative of 3*z**3 - z**o + 3 - 2*z**3 - z**4 wrt z? -4*z**3 Suppose -5*d - b + 2 = -2, 0 = 4*d + 3*b - 12. Let v(q) be the second derivative of 0*q**4 + 3*q - 1/20*q**5 - 3/2*q**2 + 0*q**3 + d. Differentiate v(z) wrt z. -3*z**2 Differentiate 7*f - 15 + 7*f - 3*f - f wrt f. 10 Let q(s) = -8*s**4 + 9*s**3 - 5*s**2 + 9. Let x(y) = 4*y**4 - 4*y**3 + 3*y**2 - 4. Let w(d) = -4*q(d) - 9*x(d). What is the third derivative of w(l) wrt l? -96*l Let k = 7 - 6. Find the first derivative of t - 3*t**3 + k + 4*t - 5*t wrt t. -9*t**2 Let f(r) = -12*r**4 - 12*r**3 - 12*r**2 + 3*r. Let c(h) = h**5 + h**4 + h**3 + h**2. Let l(p) = -12*c(p) - f(p). What is the second derivative of l(s) wrt s? -240*s**3 Let f(q) = -2*q**2 - 5. Let l(c) = 2*c**2 + 4. Let s(n) = -3*f(n) - 2*l(n). Differentiate s(k) wrt k. 4*k Let p(c) = -c**2 - 2*c. Let g be p(-4). Let v = -5 - g. What is the derivative of 2 + 3*b**3 - 7 - b**3 + v wrt b? 6*b**2 Suppose 5 = 2*b - 3. Differentiate -55 + 0*y**2 + 0*y**2 + 62 + b*y**3 with respect to y. 12*y**2 What is the third derivative of -22*v**4 + 3*v + 36*v**4 - 3*v - 20*v**2 wrt v? 336*v Let o(m) be the first derivative of -12*m**5/5 - 5*m**2 - 13. Find the second derivative of o(t) wrt t. -144*t**2 Suppose -u + 2 = -3. What is the second derivative of j**u + 8*j**2 - 8*j**2 + j wrt j? 20*j**3 Let x(j) = 8*j**4 + 5*j**2 + 3*j - 5. Let h(z) = 9*z**4 + 4*z**2 + 2*z - 4. Let m(i) = 5*h(i) - 4*x(i). What is the second derivative of m(k) wrt k? 156*k**2 Find the third derivative of -i**4 + 0*i**2 + 4*i**2 - 10*i**2 + 3*i**4 wrt i. 48*i Let b(y) = -y**2 + 7*y - 9. Let m be b(4). What is the first derivative of -4*c**m + 37 + 3*c**3 - 42 wrt c? -3*c**2 Let s(x) = 28*x - 2. Let g(p) = -9*p + 1. Let t(k) = -14*g(k) - 4*s(k). Differentiate t(h) wrt h. 14 Let c(v) be the first derivative of v**8/336 + v**5/60 + v**2 + 5. Let h(i) be the second derivative of c(i). What is the third derivative of h(g) wrt g? 60*g**2 Let y(o) be the first derivative of -8*o**6/3 - 5*o**2 - 6. What is the second derivative of y(h) wrt h? -320*h**3 Let i(a) be the first derivative of -3/5*a**5 - 3 + 0*a**4 - 1/3*a**3 + 0*a + 0*a**2. What is the third derivative of i(p) wrt p? -72*p Let p(a) be the first derivative of -2/7*a**7 + 0*a**6 - 2/3*a**3 - 1 + 0*a**5 + 0*a + 0*a**4 + 0*a**2. What is the third derivative of p(x) wrt x? -240*x**3 Let f(u) = u**2 - 7*u - 8. Let c be f(8). Let w be (c + 1)*(7 - 4). What is the second derivative of l + l - 2*l**4 + w*l**4 wrt l? 12*l**2 Let x(b) = -b**4 - b + 1. Let a(l) = 7*l**4 - l**2 + 6*l - 6. Let v(m) = a(m) + 6*x(m). Find the third derivative of v(c) wrt c. 24*c Let j(i) = -2*i - 16. Let c(r) = -r - 8. Let t(d) = -5*c(d) + 3*j(d). What is the first derivative of t(s) wrt s? -1 Let q(a) be the second derivative of -a**7/14 - 2*a**4/3 + 13*a. What is the third derivative of q(t) wrt t? -180*t**2 What is the third derivative of 4*i**2 + 18*i**2 - 2*i**4 - 10*i**2 wrt i? -48*i Let f be (-22)/(-4) - 1/2. Differentiate f + 0*d**2 + 2*d**2 - 4 with respect to d. 4*d Let b(w) be the first derivative of 55*w**2/2 - 175*w + 11. Let t(f) = -5*f + 16. Let l(a) = 6*b(a) + 65*t(a). Differentiate l(c) wrt c. 5 Let y(n) = 4*n**5 - n**3 + 4*n**2 - n. Let a be 3 + 1/(-1)*4. Let p(k) = k**5 - k**3 - k. Let o(r) = a*y(r) + p(r). What is the third derivative of o(x) wrt x? -180*x**2 Let f = -12 - -15. What is the second derivative of -3*i + 12*i**2 - f*i**2 - 11*i**2 wrt i? -4 Let v(f) be the second derivative of 0*f**2 + 7*f - 7/20*f**5 + 5/12*f**4 + 0*f**3 + 0. What is the third derivative of v(l) w
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
. Let z(b) = -563*b + 461. Let l(d) = -3*w(d) - 4*z(d). Differentiate l(f) wrt f. 587 Let p(k) = -2*k + 1. Let x(b) = -42*b + 62. Let w(d) = -3*p(d) - x(d). What is the first derivative of w(a) wrt a? 48 Let a(k) = k**3 + k**2 - 2. Let v be a(2). Let l(h) = 6*h**2 - 2*h + 1. Let r be l(1). What is the first derivative of -2 + r*t + 4 - v*t wrt t? -5 Let w(n) be the second derivative of 7/3*n**4 + 29/56*n**8 + 0*n**3 + 0*n**5 - 28*n + 0 + 0*n**7 + 0*n**2 + 0*n**6. Find the third derivative of w(z) wrt z. 3480*z**3 Let u(f) = 9 - 4*f + f**5 + 4*f - 8. Let l(v) = 22*v**5 - 15*v**2 - 3. Let n(d) = -l(d) - 3*u(d). Find the third derivative of n(j) wrt j. -1500*j**2 Let h = 4 + 2. Let n(s) = 3*s**4 + 32. Let l(f) = f**4 + 16. Let o(j) = h*n(j) - 11*l(j). What is the derivative of o(p) wrt p? 28*p**3 Let y(j) = j**2 - 88*j - 864. Let v be y(-9). Suppose -2*d - 3*r + 23 = 0, 3*d - 37 = -r - 4*r. Differentiate 6 + v*m**d - 1 - 5*m**4 wrt m. 16*m**3 Let d(r) = -37*r + 34. Let t(i) = -85*i + 92*i + 34 - 44*i. Let c(o) = 3*d(o) - 4*t(o). Find the first derivative of c(j) wrt j. 37 Let d(h) = 56*h**3 - h**2 - 59*h - 2. Let k(f) = -279*f**3 + 5*f**2 + 297*f + 11. Let g(j) = -11*d(j) - 2*k(j). What is the third derivative of g(p) wrt p? -348 Let b(n) = -n**2 - 14*n - 18. Let r be b(-12). Suppose -3*c - r = -5*c. Find the third derivative of 3*k**2 + k**4 - k**4 + c*k**4 wrt k. 72*k Let c(q) be the third derivative of 0 + 0*q + 15*q**2 + 0*q**3 - 1/4*q**4 + 0*q**5 + 0*q**6 - 1/21*q**7. Find the second derivative of c(r) wrt r. -120*r**2 Let l(m) = -m**3 + 15*m**2 - 2*m + 33. Let a be l(15). Find the first derivative of -a*y**4 - 205*y**3 - 29 + 205*y**3 - 5 wrt y. -12*y**3 Let c be 4/(1/((-3)/(-6))). Find the third derivative of 18*p**5 + 6*p**c - 29*p**2 + 3*p**5 wrt p. 1260*p**2 Let a be (32/(-12) - -2)/(3/(-9)). What is the third derivative of -4*g**a - 3*g**2 + 30*g**6 - g**2 + 5*g**2 wrt g? 3600*g**3 Let n(c) = -c + 10. Let u = -20 + 28. Let g be n(u). Find the second derivative of -i + 2*i**2 + 3*i**2 + g*i - 3*i wrt i. 10 Let s = -36 - -61. Differentiate -39 + s - 17*m**3 + 4*m**3 with respect to m. -39*m**2 Let o be (-1 + -3 + 6)/((-4)/(-6)). Differentiate 17*x**3 - 3*x**3 - 4*x**o + 17 with respect to x. 30*x**2 Let i(l) be the first derivative of 99*l**7/7 - 46*l**3/3 + 38. What is the third derivative of i(f) wrt f? 11880*f**3 Let a = 120 - 116. Let v(k) be the first derivative of 0*k**4 - 5/6*k**6 + 0*k + 0*k**5 - k**2 + 0*k**3 + a. Find the second derivative of v(l) wrt l. -100*l**3 Let r(d) = d - 1. Let s(p) = p - 1. Let m(k) = -2*k + 3. Let g(j) = -6*m(j) - 11*s(j). Let l(w) = -3*g(w) + 6*r(w). What is the first derivative of l(c) wrt c? 3 Let j(o) be the third derivative of 0*o**6 + 17/20*o**5 + 0*o**3 + 47/210*o**7 + 0*o**4 + 0 + 0*o + 43*o**2. What is the third derivative of j(q) wrt q? 1128*q Let a(b) be the second derivative of -31*b**3/3 - 9*b**2 + b + 51. What is the derivative of a(c) wrt c? -62 Let o(f) = -9*f + 4. Let i(u) = 1 - 4*u - 2 - 4*u + 7*u. Let h(w) = 2*i(w) - 2*o(w). Differentiate h(t) with respect to t. 16 Suppose 3*t - t - 8 = 0. Suppose 6*s = 4 + 8. Find the second derivative of s*z + z - 2*z**5 + 2*z - t*z**5 wrt z. -120*z**3 Differentiate 2*o**2 - 24168*o**3 - o**2 + 24137*o**3 + 225 wrt o. -93*o**2 + 2*o Let h(s) be the first derivative of s**5 + s**4/4 + 227*s**3/3 - 148. What is the third derivative of h(j) wrt j? 120*j + 6 Let h be (4 + 8)/((-2)/(-4)). Let g be 6/21 + h/14. Find the third derivative of 0*w**2 + 6*w**2 + w**6 - 2*w**6 + 0*w**g wrt w. -120*w**3 Let r(n) = -n**3 - 12*n**2 - 11*n + 2. Suppose 34 - 1 = -3*w. Let m be r(w). Find the second derivative of 0*g**2 + 2*g**2 + m*g**2 - g - 3*g wrt g. 8 Let y(n) = 133*n**3 + n - 20. Let z(h) = -200*h**3 - 2*h + 30. Let p(m) = 8*y(m) + 5*z(m). What is the second derivative of p(o) wrt o? 384*o Differentiate 170 + 2*z**4 + z**3 - z**4 - 207 + 4*z**4 with respect to z. 20*z**3 + 3*z**2 What is the first derivative of -1 - 67 - 63 - 4*p**3 - 3*p**2 - 3*p**3 wrt p? -21*p**2 - 6*p Let g(t) = 3*t + 2. Let l(b) be the second derivative of 0 + 1/2*b**2 - 5*b - 1/6*b**3. Let z(i) = -g(i) + l(i). What is the derivative of z(s) wrt s? -4 Let t(b) = 29*b**3 + 5*b**2 + 44*b + 5. Let v(q) = q**2 + q + 1. Suppose -1 - 2 = 3*g. Let i(w) = g*t(w) + 5*v(w). What is the second derivative of i(y) wrt y? -174*y Let g(j) be the third derivative of j**6/60 + 3*j**4/8 - 2*j**3 - 11*j**2. Let r(z) be the first derivative of g(z). Differentiate r(f) wrt f. 12*f Let h(x) be the third derivative of 19*x**6/120 + 7*x**5/60 + x**4/4 + x**3/6 - 21*x**2 + 3*x. Find the second derivative of h(z) wrt z. 114*z + 14 Let d(x) = -2617*x**3 - 2367*x**2 - 9*x - 18. Let b(m) = -654*m**3 - 592*m**2 - 2*m - 4. Let c(v) = -9*b(v) + 2*d(v). Find the third derivative of c(f) wrt f. 3912 What is the second derivative of 32*j**2 + 43*j**2 + 2*j + 76 - 7*j**2 wrt j? 136 Let d be ((-1 - -3)*-3)/2. Let t = d + 5. Find the third derivative of -2*u**6 - 5*u**t + 0*u**2 + 2*u**6 + 6*u**6 wrt u. 720*u**3 Find the second derivative of -2*x + 18*x + 22*x - 201*x**4 - 5 - 3*x**4 wrt x. -2448*x**2 Let r(s) = 6*s**2 - 7*s - 5. Let b(u) = 5*u**2 - 6*u - 5. Let n be 4/(-1 + 1/3). Suppose -5*c + 22 = -13. Let w(p) = c*b(p) + n*r(p). Differentiate w(i) wrt i. -2*i Let a be 20/(-8)*(-12)/15. Suppose -x + a = -2*d - 0, 0 = 5*d. What is the derivative of -3*q**2 + x*q**2 - 2*q**2 + q**2 + 5 wrt q? -4*q Let s be (0 + 1)*160/400. Let i(k) be the first derivative of 0*k**4 - s*k**5 + 5*k + 0*k**2 + 1 + 0*k**3. What is the derivative of i(a) wrt a? -8*a**3 Let f(m) = 478*m**3 + 4*m**2 - 5*m - 22. Let x(l) = -318*l**3 - 3*l**2 + 3*l + 15. Let d(o) = 5*f(o) + 7*x(o). What is the second derivative of d(v) wrt v? 984*v - 2 Let m(u) be the first derivative of -7/3*u**3 + 10*u**2 - 24 + 0*u. Find the second derivative of m(p) wrt p. -14 Let x(m) = -m**2 + 7*m - 7. Suppose 9 = 5*o - 11. Let r be x(o). Find the third derivative of c**6 + c**2 - r*c**6 - 2*c**6 - 2*c**2 wrt c. -720*c**3 Let n(u) = -615*u + 87. Let q(b) = 614*b - 89. Let d(f) = -4*n(f) - 5*q(f). Differentiate d(a) wrt a. -610 Let l be (-21)/(-3) + -3 + 0. Find the third derivative of 0*k**4 - 25*k**2 + 4*k**4 + 3*k**4 + 17*k**l wrt k. 576*k Let h(s) be the second derivative of 0*s**4 - 2*s**2 + 51/20*s**5 + 21*s + 0 + 4/3*s**3. Find the second derivative of h(w) wrt w. 306*w Let w(b) be the first derivative of -b**8/210 + 7*b**6/90 - b**3/3 - 25. Let o(i) be the third derivative of w(i). Find the third derivative of o(y) wrt y. -192*y What is the first derivative of -110*o**3 + 54*o**3 + 24 + 57*o**3 - 15 - 84 + 247*o**2 wrt o? 3*o**2 + 494*o Let j = 99 - 70. Differentiate -4 - j*x**4 + 54*x**4 - 11 wrt x. 100*x**3 What is the derivative of 195 - 456549*y - 291*y**2 + 456549*y wrt y? -582*y Let u(w) = 181*w + 14. Let o(a) = 179*a + 13. Let v(t) = -6*o(t) + 5*u(t). Differentiate v(m) wrt m. -169 Let l(j) be the second derivative of -j**3 + 0*j**5 + 0 + 2/21*j**7 - 11*j + 0*j**6 + 0*j**4 + 0*j**2. What is the second derivative of l(q) wrt q? 80*q**3 Suppose -5*h - 24 = -2*y, -5*h + 2*h - 8 = 2*y. Find the third derivative of -11*q**3 + 2719 - 2719 + 19*q**y wrt q. -66 Let v(c) be the first derivative of 39*c**6/2 + 82*c**3 - 57. Find the third derivative of v(r) wrt r. 7020*r**2 Let f(g) be the third derivative of 11*g**6/120 + 3*g**5/20 + g**4/12 + 7*g**3 - 320*g**2. Find the second derivative of f(w) wrt w. 66*w + 18 Suppose 4 = g - 3*f - 2, -2*f - 17 = -5*g. What is the first derivative of 4*h + 10*h**2 - 4*h - g + 7 wrt h? 20*h What is the second derivative of -12865*a + 3 + 11*a**3 + 12886*a - 5*a**2 - 4*a**3 wrt a? 42*a - 10 Let a(q) = -q**2 + 7*q + 1. Let y be a(7). Let k(v) = 3*v - 1. Let t be k(y). Find the second derivative of 0 + 0 - t*h**3 - 6*h + 0*h**3 wrt h. -12*h Let f(u) = 6*u - 1. Let j = -6 - -7. Let w be f(j). Find the third derivative of -5*k**w + 6*k**5 + 2*k**5 - 3*k**2 wrt k. 180*k**2 Let c(d) be the second derivative of 7*d**4/12 + 65*d**3/6 + 26*d. Find the second derivative of c(q) wrt q. 14 Let v(z) = z**3 - 4*z**2 + 3*z - 4. Let s be v(3). Let k be (44/(-8) - s)*-4. What is the third derivative of 4*n**2 - 6*n**6 - 8*n**2 - 7*n**k - 4*n**2 wrt
{ "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" }
28)*(-3 + 1). Let v(o) = -o**3 + 11*o**2 - o + 12. Let s be v(11). Is s equal to i? False Let w(p) = -7*p - p**3 + 0*p**3 - 3 - 6 + 9*p**2. Let x be w(8). Suppose -5*m - 5 = -3*b, -3 = 5*m - 4*b + 2. Is x at most as big as m? True Let z(m) = m**2 - 2*m - 9. Let r be z(-3). Is -0.2 not equal to r? True Let q be 4/(-3) - 301/42. Which is smaller: -9 or q? -9 Let c = 5 - 8. Let n = 25 - 25. Which is bigger: n or c? n Let o = -6 + 6. Suppose 6*u = -3*v + 8*u + 2, 3*v - 3*u - 6 = o. Let q be -3*1*v/(-3). Is q less than or equal to -2? True Suppose 3*d + 27 = -3*a, 2*a + 49 = -5*d - 5. Is d > -75/7? False Let g = -29 + 28.9. Let m = 26/3 + -101/12. Which is bigger: g or m? m Let q = -0.38 + 0.08. Let s = q + -1.7. Let g = s - -1.8. Which is smaller: g or 0.1? g Suppose 4*j - 16 = -0*j. Are 48/13 and j equal? False Suppose 0*y - 5*y + 10 = 0. Suppose -y*s - 33 = s. Which is greater: -12 or s? s Let y be 39/6*-1*-2. Which is smaller: 14 or y? y Let u = 4/71 - -23/852. Let d = -318 - -319. Which is smaller: d or u? u Let g = -1.2 + 0.2. Suppose 0 = -4*f + 4. Let s = f - 2. Does g = s? True Let p = -1720/9 - -188. Which is greater: -3 or p? -3 Let j = 124 + -98. Do j and -0.1 have different values? True Let m = 3 + -1. Let q = m + -3. Let d = -131/196 - 4/49. Is d > q? True Let v be (-4)/22*(7 - (-10)/(-2)). Is 0 > v? True Let j = -20 - -14. Let c be ((-6)/(-4))/(-3)*8. Let p be 5/3 - c/j. Do 1 and p have different values? False Let i = 30 + -48. Let x be 14/(-18) + 4/i. Do x and -3/5 have the same value? False Let f = -5 + 2. Let u be (f/6)/((-1)/(-2)). Does u = 0? False Let f(q) = -q**3 + q**2 + 3*q - 3. Let y be f(2). Which is bigger: -5 or y? y Let f(w) = -w**3 + 5*w**2 - 5*w + 4. Let h be f(4). Suppose m - 4*m = 6. Is m greater than h? False Let u(j) = 2*j**2 - 5*j + 5. Let i be u(2). Suppose -f = 5*s + 1, i*s + f - 3*f + 11 = 0. Is -9/5 at most s? True Let b = 6.17 + -0.17. Which is bigger: 0.1 or b? b Let l(s) = -s**3 - 6*s**2 - 4*s - 4. Let u be l(-5). Is -9 greater than u? False Suppose 0 = -22*v + 32*v + 1080. Is -108 > v? False Let o be 28/7 - (0 - -1). Suppose i + 12 = 3*p + 4*i, -p + o*i - 8 = 0. Which is smaller: -2/7 or p? -2/7 Suppose -5*j + j = 12. Does j = 1/3? False Let g = 195 - 195. Is g greater than -1/31? True Let h be ((-9)/2)/((-4)/(-8)). Let y be ((-3)/h)/((-26)/6). Is -1 bigger than y? False Let r = -53 - -38. Let h = -15.1 - r. Is h less than or equal to 0? True Let k = -0.04 + -0.36. Let n = -0.3 - k. Is n != 0.1? False Let b = 37 - 37.01. Which is smaller: -2/11 or b? -2/11 Suppose -v + 0*v - 3 = 0. Let j = -12 + v. Let n be (-2 - j/9)/1. Is -4 at most n? True Let h = 0.9 + -1. Let v = -0.5 - h. Let a = 0.3 + v. Is a less than or equal to -0.1? True Let f = 4 + -3. Let p = f - -1. Let j = p - 3. Which is greater: j or 5? 5 Suppose 0 = -9*y + 4*y + 5. Let k = 2 + 1. Suppose r = 2*v - 0*v - y, -5*v + k = -2*r. Which is smaller: -2/11 or v? -2/11 Let o = -1.1 + 0.1. Let d = 0 + o. Let n be 2/9 + (-20)/(-315). Do n and d have different values? True Suppose -4*t = -5*n - 6, -t + 5*t - n = -2. Suppose 0 = -3*x - 49 - 35. Let r be (2/(-4))/(x/16). Is t greater than or equal to r? False Suppose -9*i - 15 = -6*i, -5*f + 3*i + 35 = 0. Are 38/9 and f nonequal? True Suppose -4*v + 4 + 4 = 0. Suppose -v*d + g = -0*g - 4, 5*d - g - 16 = 0. Let h be ((-12)/(-15))/(d/10). Are h and 5/6 nonequal? True Let d = 1 - 0. Let v be 0 - d/((-30)/261). Let y = v - 17/2. Is y less than or equal to -1? False Let g = 10 + -9.97. Let x = 0.03 - g. Let u = -13/14 - 4/7. Is x smaller than u? False Let n = -18 + 18. Which is greater: n or 7/6? 7/6 Let j(c) = c**3 - 4*c**2 + 2*c. Let r be j(4). Let w = r + -12. Let t = w - -30/7. Is t <= 2/7? True Let n be (-11)/(22/(-8)) + 30. Is n <= 69/2? True Let o = -6838 - -430811/63. Let m = o + 1/63. Is m at most 1? True Let y(b) = -b**2 - 5*b - 3. Let g be y(-4). Let d be (-27)/6*12/(-18). Suppose -l - c - 2 = -3*l, 3*l + 5*c = d. Are g and l nonequal? False Suppose -v = -12*c + 10*c + 51, v = 3*c - 74. Which is greater: 24 or c? 24 Suppose 3*l + 1 - 4 = 0. Is 3/10 equal to l? False Let q = 100/3471 + 2/89. Which is smaller: 0 or q? 0 Let y be (-48)/(-120) + 1/(-15). Let q = 1 - 0.98. Let g = q - 0.32. Do g and y have different values? True Let b = -66 + 66.36. Is -0.1 <= b? True Let k be 4/(-12)*6/8. Let n be 4/(-10)*(9 - -1). Let z = n + 3. Is k at most as big as z? False Let g = -14.7 - -15.39. Let f = -1.26 + g. Let a = 0.6 + f. Is a < 1? True Let d(z) = 2*z**2 - 2*z - 1. Let c be d(2). Let y be (2/c)/((-28)/(-6)). Let x(i) = -2*i - 1. Let o be x(-1). Which is smaller: y or o? y Suppose r = 5*a + 20, 5*r = a - 5*a - 16. Let n(b) = -b**3 + b**2. Let y be n(1). Is y less than r? False Let j(h) = h**2 - 5*h + 3. Let y be j(4). Which is smaller: 0 or y? y Let l = 2 - 0. Suppose d = g - 2, 3*g + 4*d - 24 = -g. Suppose -s + g*b = 2*s - 13, -5*b = 2*s - 1. Which is smaller: s or l? l Let i = -1.1 + 1. Let r = -1.2 + 1.4. Does i = r? False Suppose 0 = -2*w - l + 2*l + 4, 4*w - 4*l - 12 = 0. Let b be ((-622)/4)/(20/8). Let d = b + 62. Which is bigger: d or w? w Suppose -3*l + 3*i = 2*l - 18, -3*l = 3*i - 30. Let y be (-3)/((-2)/l + 0). Suppose 0 = -3*r + 3*j + y, -4*j = 2*r - j + 14. Does r = -1/13? False Let l = 26 + -29. Are 0 and l non-equal? True Suppose f + 78 = -5*l - f, 0 = 3*l + f + 47. Is -16 bigger than l? False Let a be (203/(-87))/(1/(-3)). Suppose 23 = 2*b - s - 2*s, 0 = -4*s - 12. Is a at most b? True Let o = -207/4 + 53. Which is bigger: 0 or o? o Let a(c) be the third derivative of -c**4/24 - c**3/6 - 2*c**2. Let q be a(-3). Suppose -1 = -j - q. Which is bigger: j or 0? 0 Let x be 2*(-4 + 16/5). Is x at most as big as -2? False Let w = -58/7 - -8. Which is smaller: 1 or w? w Let v = -162 - -145. Is v > -18? True Let c(a) be the first derivative of 7*a + 1/3*a**3 - 3*a**2 - 3. Let u be c(5). Which is smaller: -3 or u? -3 Let p = -121 + 607/5. Which is bigger: -2/7 or p? p Let v = -225 + 4724/21. Which is smaller: 1 or v? v Let j(y) = 2*y**3 - 7*y**2 + 15*y - 2. Let n(f) = -f**3 + 3*f**2 - 8*f + 1. Let v(w) = 3*j(w) + 5*n(w). Let h be v(5). Let q = -3/14 + 5/14. Is h != q? True Suppose -2*y + 0*y - 3*p = -93, 3*y + 4*p - 142 = 0. Are 54 and y unequal? False Let g be (-1)/4 + (-119)/(-28). Let q = g + -2. Suppose -q*z = -z. Which is greater: z or -5/4? z Let m = 38 + -115/3. Which is smaller: -1 or m? -1 Let l be -3*(5/(-3) + 1). Suppose 3*f + 0 - 3 = -3*c, l*c = -5*f + 20. Let g(o) = 3*o - 2. Let m be g(3). Do f and m have the same value? False Let j = -21 + 20.9. Which is bigger: j or -1.9? j Let m(t) = -3*t**3 - t. Let b be m(-1). Let p be (-2)/b - 20/112. Let f = -3/7 - p. Is 2 > f? True Let w = -5 - 2. Let v = w + 2. Let u be 8/v + 1 + 1. Which is greater: u or 0? u Let q = -91/440 - -1/40. Let i(g) = g + 3. Let m be i(5). Let x = -9 + m. Which is bigger: q or x? q Let d = 1 + -1. Suppose d = m + 4*q + 34, -4 = -3*q + 2. Let g be 10/14 - 12/m. Are g and 1 nonequal? False Let t(p) = p**3 + 3*p**2 + 3*p + 1. Let q be t(-2). Which is greater: q or 3/17? 3/17 Let a(h) = -h**2 - 6*h - 5. Let c be a(-5). Suppose c = 4*d + j - 3 - 4, -20 = 4*j. Is 4 bigger than d? True Let b = -4 + 6. Suppose -5*m - 3 = b. Which is greater: m or 1? 1 Let g = 54 + -55. Let p = -3 + 5. Which is bigger: p or g? p Let m(v) = 8*v - 1. Let f be m(1). Suppose 5*x + f - 12 = 0. Does x = 4/3? False Let y(k) = 2*k + 3. Let f be y(-3). Let x be (-4)/(-87) - (f + 3). Let t = x + -281/435. Are -1 and t equal? False Let l = -16 + 30. Let w = l - 13. Which is smaller: w or 3? w Let a = -34 + 34. Which is smaller: -6/25 or a? -6/25 Let g = -3/196 - -211/980. Suppose -3*t + 6 = -3, -w = -3*t + 10. Let u be (0/2)/(-1 + w). Are u and g equal? False Let y = 21 - 21.1. Which is smaller: -31 or y? -31 Let g be -2 + (0 - (1 + -2)). Let j(u) = -u**3 - u + 8. Let i be j(0). Suppose -c + 5 + 1 = y, 2*c - 2*y = -i. Do c and g have different values? True Let d be ((-4)/(-5))/(4/2). Let p = 1 - -17. Let c be (-4)/p + 0/(-2). Is d <= c? False Suppose 4*p + 12 = 0, 4*d + 0*p + 30 = -2*p. Let i be (-1)/3*d/5. Is 2/9 greater than or equal to i? False Suppose -2*o = 6, -5*v - o = o + 41. Is v > -9? True Suppose 2*n - n + 72 = -3*s, n + 75 = -2*s. Is n <=
{ "pile_set_name": "DM Mathematics" }
t derivative of k(q). Factor r(g). 2*g*(g - 7)/7 Suppose 1072 = -2*z + w - 96, -4*z + 4*w = 2332. Let j = -276 - z. Let -5*x**2 + 314 - j + 3*x**3 - 4*x**3 + 5*x - 4*x**3 = 0. Calculate x. -1, 1 Factor -240*k**3 - 164*k**2 - 3120*k - 944 - 5*k**4 - 901 - 1494*k**2 + 148*k**2. -5*(k + 1)*(k + 3)**2*(k + 41) Suppose 144 = -26*u + 29*u. Determine o so that 4 + 356*o - u*o**2 - 4 - 340*o + 20*o**3 = 0. 0, 2/5, 2 Let -6/5*p**4 - 46/5*p**3 - 16 - 8/5*p + 28*p**2 = 0. What is p? -10, -2/3, 1, 2 Let f(h) be the second derivative of -h**4/4 + 361*h**3/2 + 543*h**2 + 4623*h. Suppose f(v) = 0. Calculate v. -1, 362 Let t(h) be the first derivative of 5*h**3 + 11/4*h**4 + 9/2*h**2 + 3/5*h**5 + 2*h - 45. Factor t(z). (z + 1)**3*(3*z + 2) Let 998*j**4 + 2640*j - 1752*j**3 + 288 + 7325*j**2 + 21*j**2 + 32*j**5 - 182*j**4 + 7530*j**3 = 0. Calculate j. -12, -1, -1/4 Let o be 23/((-24)/(-16) - (-2)/(-4)). Solve -88*m**4 + 74*m**3 - 92*m + 20*m**5 + o + 55*m**3 + 64*m**2 - 57*m**3 + 1 = 0 for m. -1, 2/5, 1, 3 Let c(r) be the third derivative of r**5/45 - 4*r**4/3 + 238*r**3/9 + 5425*r**2. Factor c(t). 4*(t - 17)*(t - 7)/3 Let h(d) be the first derivative of -1/2*d**3 - 70 - 216*d - 18*d**2. Determine f, given that h(f) = 0. -12 Let c(p) be the second derivative of -1 - 25/2*p**3 - 5/8*p**4 - 3*p - 1/80*p**5 - 125*p**2. Find f, given that c(f) = 0. -10 Let b(g) be the second derivative of g**7/504 + g**6/24 - 9*g**5/8 + g**4/6 + 8*g**2 + 58*g. Let t(c) be the third derivative of b(c). Factor t(a). 5*(a - 3)*(a + 9) Find v such that -224/3*v**3 - 16/3*v + 130/3*v**2 + 122/3*v**4 - 4*v**5 + 0 = 0. 0, 1/6, 1, 8 Let w(i) = -i**3 + 5*i**2 - i + 14. Let g be w(5). Let f be ((-134)/4)/((45/(-10))/g). Factor -27*b**4 - 49*b**3 - 225*b**2 - 19*b**3 - 135*b - f*b**3 + 10*b. -b*(3*b + 5)**3 Let f(o) be the first derivative of -7/15*o**3 + 62 - 1/10*o**2 + 7/5*o + 1/20*o**4. Find r such that f(r) = 0. -1, 1, 7 Let n(m) be the third derivative of -m**7/840 + 17*m**6/120 - 289*m**5/40 + m**4 + 85*m**2. Let q(c) be the second derivative of n(c). Factor q(f). -3*(f - 17)**2 Suppose -94*p + 5936 = 128*p + 109*p + 40*p. Factor -v**2 + p + 70/3*v. -(v - 24)*(3*v + 2)/3 Suppose 0*h - 5*w + 610 = 5*h, -5*w = 3*h - 358. Let s = -123 + h. Factor -1/7*a**s + 4/7*a + 2/7*a**2 - 8/7. -(a - 2)**2*(a + 2)/7 Let v(w) be the first derivative of -20/3*w**3 + 0*w + 100*w**2 + 1/8*w**4 - 14. Factor v(k). k*(k - 20)**2/2 Let b(u) = -u**3 + 5*u**2 + 2*u - 4. Let o be b(5). Let m be 11 - o*(-2)/4. What is q in -4 + 2*q**3 + 2*q - 4*q**4 + m*q**2 - 15*q**2 + 13*q**2 = 0? -1, 1/2, 2 Let t(o) be the first derivative of 5*o**7/42 - o**6/6 - 9*o**5/4 - 55*o**4/12 - 10*o**3/3 - 122*o + 35. Let d(h) be the first derivative of t(h). Factor d(y). 5*y*(y - 4)*(y + 1)**3 Let m(s) be the third derivative of s**5/15 + 13*s**4/2 - 80*s**3/3 + s**2 + 133*s. Solve m(t) = 0 for t. -40, 1 Let j be -1*5/(-75) + -33*(-23)/1265. Factor -4 + 8*o**3 + j*o**2 - 23/3*o + 10/3*o**4 - 1/3*o**5. -(o - 12)*(o - 1)*(o + 1)**3/3 Let h(g) be the third derivative of 2*g**7/105 - 21*g**6/10 + 12*g**5 + 2*g**4/3 - 160*g**3 + 10*g**2 - 40*g. Let h(a) = 0. Calculate a. -1, 2, 60 Let r be 22/6 + 2/6. Determine s, given that 6*s**4 - 11*s**2 + 5*s**2 - r*s**3 - s**5 + 5*s - 12*s**2 - 3 + 15 = 0. -1, 1, 3, 4 Let x = -1848 + 1873. Suppose 27*g - x*g = 4. Suppose 2/3*c**g + 8/3*c - 8 = 0. What is c? -6, 2 Let h be 316958/74100 + 20/(-650) - 12/150. Factor 49/12 + 1/12*c**2 - h*c. (c - 49)*(c - 1)/12 Suppose 157 = 36*c - 59. Let b(o) = -33*o + 201. Let a be b(c). Factor -9/5*y - 9/5*y**2 - 3/5 - 3/5*y**a. -3*(y + 1)**3/5 Let k(w) be the second derivative of w**4/30 + 37*w**3/15 + 32*w**2 - 300*w - 5. Factor k(l). 2*(l + 5)*(l + 32)/5 Let u(f) be the first derivative of -f**4/18 - 248*f**3/27 + 1315*f**2/9 - 6700*f/9 + 2387. Factor u(a). -2*(a - 5)**2*(a + 134)/9 Let v = -112772 - -112776. Suppose -2/3*y**3 + 0*y**2 + 0 + 2/9*y**v + 8/9*y = 0. What is y? -1, 0, 2 Let c(i) be the first derivative of -720*i - 5/3*i**3 + 60*i**2 - 26. Factor c(f). -5*(f - 12)**2 Let h(r) be the second derivative of 3/28*r**7 - 7/4*r**3 + 2/5*r**6 - 3/4*r**4 - 1 - 3/2*r**2 + 3/10*r**5 + 4*r. Solve h(a) = 0 for a. -1, -2/3, 1 Let m(s) be the third derivative of -s**5/135 - 4*s**4/9 + 224*s**3/27 + 1236*s**2. Factor m(i). -4*(i - 4)*(i + 28)/9 Let l be (-6)/(-88) + 7642/42031. Suppose 5 - 1/4*v**2 - l*v = 0. Calculate v. -5, 4 Let n(p) be the first derivative of p**5/10 + p**4 - 43*p**3/6 + 29*p**2/2 - 12*p + 789. Suppose n(r) = 0. What is r? -12, 1, 2 Let a(t) be the third derivative of t**6/840 - 617*t**5/210 + 2465*t**4/168 - 88*t**3/3 - 3611*t**2. Let a(w) = 0. Calculate w. 1, 1232 Let c(s) be the first derivative of -125*s + 15*s**4 - s**5 + 2 + 150*s**2 - 230/3*s**3. Determine t so that c(t) = 0. 1, 5 Let p(s) be the third derivative of 1/35*s**5 + 0*s - 2 + 6*s**2 + 8/21*s**3 - 5/28*s**4 + 1/420*s**6. Factor p(i). 2*(i - 1)**2*(i + 8)/7 Find r, given that 367/2*r**3 - 333*r + 69/2*r**4 - 1/2*r**5 + 231/2*r**2 + 0 = 0. -3, 0, 1, 74 Let v(n) be the second derivative of 0*n**2 + 5/14*n**7 + 0 + 5/6*n**3 - 318*n - 1/3*n**6 - n**5 + 5/6*n**4. Determine i so that v(i) = 0. -1, -1/3, 0, 1 Factor 19*x**2 + 35/2*x - 37 + 1/2*x**3. (x - 1)*(x + 2)*(x + 37)/2 Let y(g) = 47*g + 426. Suppose -b + 4*j = 17, -28*j - 15 = b - 31*j. Let x be y(b). Factor p**x - 7/4*p - 5/4*p**2 + 1/2. (p - 2)*(p + 1)*(4*p - 1)/4 Suppose -42*s + 71670 = 71670. Factor -98/9*j**5 + 28/9*j**4 + 0 + 0*j + s*j**2 - 2/9*j**3. -2*j**3*(7*j - 1)**2/9 Suppose -18445 = -94*n - 18445. What is w in 4/3*w - 4/3*w**2 + 2/3*w**4 + 1/3*w**5 + n - w**3 = 0? -2, 0, 1 Let c(l) = 12*l - 84. Let h be c(17). Suppose a + 35*a**2 + 125*a**4 - 7*a - h*a**4 - 9*a - 25*a**3 = 0. What is a? 0, 1, 3 Let z(m) be the third derivative of m**10/30240 + m**9/4032 - m**7/252 + m**5/30 + m**3 + 18*m**2. Let f(n) be the third derivative of z(n). Factor f(v). 5*v*(v - 1)*(v + 2)**2 Let n be -6 + (-30)/(-6) - 4 - 782. Let w = n - -3936/5. Suppose -w + 14/5*j**2 + 26/5*j**3 + 19/5*j**4 + 1/5*j + j**5 = 0. What is j? -1, 1/5 Let f(g) = -100*g**2 - 235*g + 3565. Let l(i) = -11*i**2 - 25*i + 396. Let t(m) = 6*f(m) - 55*l(m). Determine z, given that t(z) = 0. -6, 13 Let v be (-64)/(-24) + 2/(-3). Find a, given that -16*a**v - 3*a**4 - 8*a**2 - 100 + 180 + 68*a - 104 + 23*a**3 - 38*a**2 = 0. 2/3, 2, 3 Let i = -10 + 8. Let a be (i/(-3))/(60/36). Suppose -a*u - 8/5 + 8/5*u**2 + 2/5*u**3 = 0. What is u? -4, -1, 1 Determine a so that 2/9*a**3 - 2194/9 - 2198/9*a**2 + 4390/9*a = 0. 1, 1097 Let u(z) = -6*z**2 + 99*z - 397. Let o be u(7). Determine j, given that -35/4*j**o + 7/4*j**5 + 59/4*j**3 + 3/2*j + 0 - 37/4*j**4 = 0. 0, 2/7, 1, 3 Let c(k) = -147*k + 3969. Let m be c(27). Let y(j) be the second derivative of -1/120*j**6 - 1/20*j**5 - 14*j - 1/12*j**4 + m*j**3 + 0*j**2 + 0. Factor y(a). -a**2*(a + 2)**2/4 Suppose 28*o = 214 + 178. Let s(r) be the first derivative of -1/3*r + o + 1/2*r**2 - 2/9*r**3. Solve s(n) = 0 for n. 1/2, 1 Let i(h) be the second derivative of h**6/135 - 13*h**5/90 + 20*h**4/27 - 4*h**3/3 - 37*h + 75. Let i(u) = 0. Calculate u. 0, 2, 9 Let u = 16451/4458 + -35/1486. Factor 0 - 2*x**4 - 1/6*x**5 + 14*x**2 - u*x**3 - 49/6*x. -x*(x - 1)**2*(x + 7)**2/6 Factor 1936 + 1928 - 3864 + 4*u**2 - 3100*u. 4*u*(u - 775) Let o(a) be the first derivative of 15/4*a**4 - 3*a**3 - 3/5*a**5 + 79 + 0*a**2 - 1/2*a**6 + 0*a. Find s, given that o(s) = 0. -3, 0, 1 Let c(r) = 5*r**3 + 39*r**2 + 38*r - 74. Let f(i) = -23*i**3 - 157*i**2 - 151*i + 295. Let g(u) = 9*c(u) + 2*f(u). Let g(v) = 0. What is v? -2, 1, 38 Let z(j) be the first derivative of 0*j**2 - 12*j + 5/16*j**4 + 1/40*j**6 - 1/4*j**3 - 10 - 3/20*j**5. Let f(m) be the first derivative of z(m). Factor f(i). 3*i*(i - 2)*(i - 1)**2/4 Let n be (1*40/(-15))/((-2)/3). Suppose 4*d - 2*c = -6*c + 12, 2 = 4*d - 6*c. Determine z, given that 4/7*z**d + 0 - 4/7*z**n - 8/7*z**3 + 6/7*z + 2/7*z**5 = 0. -1, 0, 1, 3 Let i = 35 - 14. Let s be i/(-6)*-2 + -3. Factor -3*q - 10*q**2 + 9*q**2 + s + 0*q**2. -(q - 1)*(q + 4) Factor 5*c**4 - 7*c**2 + 20*c**3 + 73582*c - 73572*c + 32*c**2. 5*c*(c + 1)**2*(c + 2) Let g(c) = -11*c**3 - 99*c**2 + 196*c - 121. Let u = 182 + -178. Let z(s) = -6*s**3 - 50*s
{ "pile_set_name": "DM Mathematics" }
t common multiple of 115 and 230. 230 Find the common denominator of -149/1710 and 139/30. 1710 Calculate the common denominator of 17/2285 and -21/40. 18280 What is the least common multiple of 22 and 100? 1100 Calculate the smallest common multiple of 36 and 30. 180 Calculate the smallest common multiple of 720 and 48. 720 What is the smallest common multiple of 42 and 532? 1596 Find the common denominator of 23/15 and -149/6. 30 Calculate the common denominator of -67/84 and 76/483. 1932 Find the common denominator of -1/1190 and 77/8. 4760 What is the smallest common multiple of 5832 and 5832? 5832 Calculate the lowest common multiple of 132 and 332. 10956 Find the common denominator of -119/108 and -93/4. 108 Calculate the common denominator of 23/8 and 63/5722. 22888 What is the smallest common multiple of 9801 and 7128? 78408 What is the common denominator of -3/85 and -14/765? 765 Find the common denominator of 151/12 and -127/486. 972 Find the common denominator of -68/87 and 50/33. 957 Find the common denominator of 43/70 and -59/420. 420 Find the common denominator of -77/927 and -33/4. 3708 What is the smallest common multiple of 10 and 1715? 3430 What is the smallest common multiple of 144 and 123? 5904 What is the common denominator of -36 and -65/672? 672 Calculate the lowest common multiple of 90 and 1365. 8190 What is the lowest common multiple of 392 and 28? 392 Calculate the common denominator of 107/90 and -79/12. 180 What is the least common multiple of 27 and 123? 1107 Calculate the smallest common multiple of 6 and 69. 138 Calculate the lowest common multiple of 30 and 45. 90 What is the common denominator of -29/630 and -43/42? 630 What is the common denominator of 127/114 and 34/3303? 125514 Calculate the common denominator of -15/4144 and -89/148. 4144 Find the common denominator of 143/2562 and -151/84. 5124 Calculate the smallest common multiple of 168 and 98. 1176 Calculate the least common multiple of 3 and 46. 138 Calculate the least common multiple of 35 and 8015. 8015 Find the common denominator of 57/164 and -73/1804. 1804 Calculate the smallest common multiple of 3 and 276. 276 Calculate the common denominator of -56/195 and -49/117. 585 Find the common denominator of 57/40 and 49/12. 120 What is the smallest common multiple of 30 and 741? 7410 What is the lowest common multiple of 42 and 4? 84 Calculate the common denominator of -38/105 and 1/1170. 8190 What is the common denominator of 89/810 and 73/10? 810 Calculate the common denominator of 45/224 and 59/38. 4256 Calculate the common denominator of -95/6 and 41/156. 156 Find the common denominator of 43/1551 and -41/111. 57387 Calculate the common denominator of 43/790 and -59/632. 3160 Calculate the common denominator of -13/10 and 33/80. 80 Calculate the smallest common multiple of 87 and 3. 87 Find the common denominator of 1/68 and -35/656. 11152 What is the smallest common multiple of 16 and 5984? 5984 Find the common denominator of 79/32 and 101/16. 32 Calculate the common denominator of 25/18 and 83/984. 2952 What is the common denominator of -103/136 and 43/34? 136 What is the common denominator of -53/460 and 11/12? 1380 What is the least common multiple of 158 and 4? 316 Calculate the smallest common multiple of 77 and 2093. 23023 Calculate the least common multiple of 4 and 14. 28 Calculate the smallest common multiple of 47 and 94. 94 Calculate the least common multiple of 29 and 319. 319 Find the common denominator of -127/18 and -57/172. 1548 Calculate the common denominator of 45/91 and -40/11. 1001 Find the common denominator of 109/100 and -42/125. 500 Calculate the lowest common multiple of 112 and 28. 112 What is the common denominator of -16/6747 and 1/9? 20241 What is the least common multiple of 11748 and 36? 35244 Calculate the lowest common multiple of 101 and 7. 707 What is the smallest common multiple of 57 and 7? 399 Find the common denominator of -95/22 and 31/300. 3300 What is the common denominator of -23/64 and -69/88? 704 What is the lowest common multiple of 81 and 27? 81 What is the least common multiple of 1 and 656? 656 What is the common denominator of -69/28 and 83/252? 252 What is the lowest common multiple of 44 and 100? 1100 What is the common denominator of 111/22 and -81/5014? 55154 What is the common denominator of 71/14 and 143/84? 84 Find the common denominator of -79/34 and 83/8. 136 Calculate the common denominator of -34/987 and 26/21. 987 Calculate the least common multiple of 126 and 18. 126 What is the common denominator of -1/800 and -3/4960? 24800 What is the least common multiple of 267 and 18? 1602 What is the smallest common multiple of 1 and 8? 8 Calculate the least common multiple of 770 and 210. 2310 What is the common denominator of 17/14 and -19/1382? 9674 Calculate the least common multiple of 10 and 22. 110 What is the smallest common multiple of 6 and 14? 42 Calculate the least common multiple of 30490 and 8. 121960 What is the lowest common multiple of 12558 and 20? 125580 Calculate the smallest common multiple of 81 and 6. 162 What is the least common multiple of 465 and 3? 465 What is the lowest common multiple of 108 and 1008? 3024 Calculate the least common multiple of 2 and 2772. 2772 What is the common denominator of 113/1030 and -25/412? 2060 Calculate the smallest common multiple of 69 and 69. 69 What is the least common multiple of 526 and 12? 3156 Find the common denominator of 42/65 and -61/75. 975 Calculate the least common multiple of 16 and 40. 80 What is the smallest common multiple of 952 and 616? 10472 Calculate the least common multiple of 126 and 154. 1386 Calculate the common denominator of 53/1600 and 53/160. 1600 Calculate the smallest common multiple of 10 and 20. 20 What is the common denominator of -43/226 and 35/904? 904 Calculate the common denominator of 107/80 and 49/50. 400 Calculate the common denominator of -33/415 and 64/249. 1245 Calculate the least common multiple of 297 and 198. 594 Calculate the least common multiple of 1320 and 88. 1320 Calculate the least common multiple of 695 and 973. 4865 Calculate the common denominator of -37/1290 and 5/6. 1290 Calculate the smallest common multiple of 58 and 22. 638 Calculate the common denominator of -107/576 and 19/2. 576 Calculate the smallest common multiple of 18 and 6. 18 Calculate the common denominator of 101/8800 and -1/4400. 8800 Calculate the least common multiple of 12 and 156. 156 Calculate the lowest common multiple of 5 and 1084. 5420 What is the least common multiple of 176 and 66? 528 Calculate the common denominator of -61/240 and -103/720. 720 Calculate the smallest common multiple of 1046 and 12. 6276 What is the least common multiple of 28 and 5? 140 What is the common denominator of 45/452 and -17/8? 904 Calculate the smallest common multiple of 10 and 134. 670 What is the lowest common multiple of 8788 and 416? 70304 What is the least common multiple of 240 and 56? 1680 Calculate the smallest common multiple of 534 and 623. 3738 What is the smallest common multiple of 196 and 14? 196 What is the least common multiple of 4 and 554? 1108 What is the lowest common multiple of 24 and 28? 168 What is the common denominator of -53/16 and 151/2436? 9744 Find the common denominator of -133/72 and 14/99. 792 What is the smallest common multiple of 63 and 735? 2205 What is the common denominator of -103/60 and -57/20? 60 Calculate the common denominator of 21/136 and 5/136. 136 Calculate the common denominator of -67/332 and 53/20. 1660 Calculate the common denominator of 43/324 and 95/432. 1296 Calculate the smallest common multiple of 744 and 18. 2232 Calculate the least common multiple of 171 and 3781. 34029 What is the lowest common multiple of 45 and 6? 90 What is the least common multiple of 176 and 20? 880 What is the least common multiple of 1116 and 3596? 32364 Calculate the common denominator of -75/28 and -87/14. 28 Calculate the lowest common multiple of 63 and 20844. 145908 Calculate the common denominator of -10/261 and -24. 261 What is the common denominator of -56/237 and -25/8? 1896 Calculate the lowest common multiple of 5707 and 9. 51363 What is the lowest common multiple of 5
{ "pile_set_name": "DM Mathematics" }
6 What is the least common multiple of 17888 and 48? 53664 What is the least common multiple of 19376 and 16? 19376 Calculate the common denominator of -67/45248 and 35/1299264. 9094848 Calculate the least common multiple of 152425 and 145. 4420325 What is the lowest common multiple of 785338 and 11? 8638718 Find the common denominator of 25/33858 and -17/242. 372438 Calculate the smallest common multiple of 18491 and 11767. 129437 What is the smallest common multiple of 3084 and 6? 3084 Find the common denominator of -1/12213 and 97/21712. 195408 Calculate the common denominator of 107/24 and -69/1360. 4080 Find the common denominator of -73/15 and -67/8708. 130620 What is the common denominator of 139/228 and 77/2628? 49932 What is the lowest common multiple of 14 and 1746? 12222 What is the lowest common multiple of 217 and 7014? 217434 Calculate the common denominator of -91/640 and 61/10. 640 What is the least common multiple of 8080 and 21816? 218160 Calculate the lowest common multiple of 1968 and 276. 45264 Calculate the smallest common multiple of 169400 and 44. 169400 Calculate the lowest common multiple of 18846 and 18. 18846 What is the least common multiple of 936 and 1567? 1466712 What is the lowest common multiple of 111328 and 1988? 111328 What is the least common multiple of 1224 and 2176? 19584 Calculate the common denominator of -131/2016 and 139/126336. 379008 What is the common denominator of 17/32216 and -15/467132? 934264 What is the least common multiple of 10 and 1237209? 12372090 What is the least common multiple of 2320 and 1120? 32480 Calculate the common denominator of -71/38 and -3/7448. 7448 Calculate the smallest common multiple of 6021 and 80. 481680 What is the common denominator of 139/102 and 41/18? 306 Find the common denominator of -49/110344 and 5/18. 993096 Calculate the lowest common multiple of 23240 and 529872. 2649360 Find the common denominator of 107/107004 and 39/178340. 535020 Calculate the lowest common multiple of 18490 and 586. 5417570 Find the common denominator of -49/468 and -77/12363. 148356 Calculate the common denominator of -69/8224 and 63/16. 8224 What is the smallest common multiple of 349320 and 261990? 1047960 What is the common denominator of -87/169256 and -33/8? 169256 Calculate the common denominator of -1/70778 and -53/18. 637002 Calculate the smallest common multiple of 258657 and 948409. 2845227 What is the least common multiple of 50 and 1682850? 1682850 Calculate the common denominator of 179/2100 and -173/1596. 39900 What is the least common multiple of 2128 and 133? 2128 What is the common denominator of -23/6324 and -13/38068? 1941468 What is the common denominator of -121/1554 and -1/67266? 470862 Calculate the common denominator of -133/178800 and 33/700. 1251600 Calculate the common denominator of -85/252 and 19/28659. 2407356 Calculate the smallest common multiple of 24930 and 1703550. 5110650 Calculate the common denominator of -52/175 and -72/11725. 11725 Find the common denominator of -107/12310 and 61/20. 24620 Find the common denominator of 29/55377 and 157/268974. 1882818 Find the common denominator of -93/88 and 36/1397. 11176 Calculate the smallest common multiple of 42 and 7469. 44814 Calculate the lowest common multiple of 185668 and 238716. 1671012 Calculate the smallest common multiple of 18555 and 204105. 204105 Find the common denominator of -21/3032 and -103/928. 351712 Find the common denominator of 77/612152 and 67/10. 3060760 Calculate the least common multiple of 595294 and 8. 2381176 Calculate the common denominator of -73/376418 and -41/84. 2258508 What is the least common multiple of 11500 and 2300? 11500 Calculate the common denominator of -95/2856 and 7/888. 105672 Calculate the smallest common multiple of 3474 and 242022. 726066 Calculate the lowest common multiple of 66 and 40646. 1341318 What is the lowest common multiple of 63018 and 1782? 693198 Calculate the lowest common multiple of 57462 and 1884. 114924 Find the common denominator of 34/13083 and -111/1666. 444822 What is the lowest common multiple of 14284 and 39281? 157124 What is the common denominator of 131/739296 and -157/19026? 5175072 What is the least common multiple of 103115 and 2050? 1031150 Calculate the lowest common multiple of 33 and 217236. 2389596 What is the lowest common multiple of 69586 and 21? 1461306 What is the least common multiple of 24 and 4712? 14136 Find the common denominator of -7/64 and 37/371. 23744 What is the smallest common multiple of 17420 and 117? 156780 Find the common denominator of -117/26560 and 83/60. 79680 What is the common denominator of -10/5799 and -76/27? 52191 Calculate the least common multiple of 3417 and 1005. 17085 Calculate the common denominator of 2/21309 and 62/3. 21309 Find the common denominator of -95/12 and -65/56298. 112596 What is the smallest common multiple of 46458 and 35244? 1022076 Calculate the least common multiple of 43099 and 12314. 86198 Calculate the lowest common multiple of 13320 and 113220. 226440 Calculate the common denominator of -121/588 and 59/382788. 382788 Calculate the common denominator of 52/13737 and 83/6. 27474 What is the least common multiple of 2660980 and 1596588? 7982940 Find the common denominator of -105/484 and 103/125268. 1377948 What is the smallest common multiple of 30818 and 3244? 61636 Calculate the common denominator of 99/64 and 19/6656. 6656 Calculate the smallest common multiple of 168 and 308. 1848 Calculate the smallest common multiple of 26677 and 70. 266770 Find the common denominator of 31/540 and 107/5760. 17280 Calculate the common denominator of 29/15624 and 39/308. 171864 What is the smallest common multiple of 639532 and 4444? 7034852 Calculate the least common multiple of 37288 and 41949. 335592 Calculate the least common multiple of 10132 and 153. 91188 Calculate the lowest common multiple of 20762 and 903. 2678298 What is the least common multiple of 40 and 24208? 121040 What is the common denominator of 17/11167 and -107/15462? 201006 What is the smallest common multiple of 128 and 32? 128 Calculate the common denominator of -41/8432 and -53/128. 67456 Calculate the common denominator of 121/25980 and 97/8010. 6936660 Find the common denominator of 23/40964 and 43/5390. 204820 What is the least common multiple of 140961 and 29676? 563844 Calculate the lowest common multiple of 3633 and 42558. 297906 Calculate the common denominator of 29/88 and 73/31086. 124344 Find the common denominator of -67/10788 and 52/837. 97092 Find the common denominator of -101/354978 and -15/1924. 709956 Find the common denominator of 11/27 and 167/754824. 6793416 What is the smallest common multiple of 2229 and 287541? 287541 Calculate the lowest common multiple of 29660 and 470. 1394020 What is the lowest common multiple of 36 and 14092? 126828 What is the least common multiple of 19950 and 1260? 119700 Find the common denominator of -29/11320 and -73/875036. 8750360 Calculate the common denominator of 119/576 and -91/240. 2880 Calculate the common denominator of 127/3450 and -139/1500. 34500 What is the least common multiple of 27621 and 453? 4170771 What is the lowest common multiple of 2496 and 26688? 346944 What is the smallest common multiple of 30535 and 152675? 152675 Calculate the least common multiple of 216 and 1704. 15336 Calculate the lowest common multiple of 402768 and 83910. 2013840 Calculate the least common multiple of 341 and 3113. 96503 Calculate the smallest common multiple of 40658 and 32. 650528 Calculate the common denominator of -107/48192 and -77/5248. 3951744 Find the common denominator of 151/57252 and 43/4524. 1660308 Calculate the least common multiple of 9966 and 26576. 79728 What is the least common multiple of 30910 and 2529? 278190 Calculate the common denominator of 17/171352 and -77/40. 856760 Calculate the lowest common multiple of 2685 and 135. 24165 What is the least common multiple of 16528 and 20660? 82640 What is the least common multiple of 183178 and 6? 549534 Calculate the lowest common multiple of 18184 and 24. 54552 Find the common denominator of 73/7848 and 95/8. 7848 Find the common denominator of 37/17060 and 7/45. 153540 Calculat
{ "pile_set_name": "DM Mathematics" }
0*d + 15. Let t be i(6). Let j(f) = -f**3 - 8*f**2 + 4*f - 12. What are the prime factors of j(t)? 3, 11 Let f = 6 - 0. List the prime factors of 2 - f/((-2)/1). 5 Let z(a) = -a**3 + 6*a**2 + a + 1. Let j be z(6). Let l = 12 - j. List the prime factors of l. 5 Suppose -4*q - 5 = q, o - 13 = q. List the prime factors of o. 2, 3 Let f = -5 + 10. Let w(i) = 2*i**2 - 5*i - 7. List the prime factors of w(f). 2, 3 List the prime factors of 1/(10/4) + (-17080)/(-175). 2, 7 Suppose 2 = 2*z - 3*z, -t + 4*z = -4. Let x be t/(-10) + 114/15. Let n = 0 + x. What are the prime factors of n? 2 Let j(r) = -r**3 + 7*r**2 + 9*r - 2. List the prime factors of j(8). 2, 3 Let h = -26 - -56. Suppose h = 4*b - 30. What are the prime factors of b? 3, 5 Let b = 8 - 4. Suppose 2*i + 36 = b*r, -2*r - i - 32 = -6*r. Let w = -4 + r. List the prime factors of w. 3 Suppose -7*v = -782 - 72. List the prime factors of v. 2, 61 Let y = 7 + -5. List the prime factors of y - (4 + -2 - 5). 5 Let o(l) = -365*l**3 - l**2 + 1. What are the prime factors of o(-1)? 5, 73 Let j(g) = g**3 - 3*g**2 - 2*g + 4. Let o be j(3). List the prime factors of (o + 78/(-4))*-2. 43 What are the prime factors of 35 - (3 + 3 + -1 + -4)? 2, 17 Suppose 0 = 4*v + v - 295. What are the prime factors of v? 59 Let m = 4 + 1. Suppose 4*n + c = n + 6, 10 = m*n + c. Suppose 4*p = -3*j + 21, 3*j + n*j - 64 = 3*p. List the prime factors of j. 11 Let f(l) = l**3 - l**2 - l + 21. Let n be (-4)/18 + 4/18. List the prime factors of f(n). 3, 7 Let f be (-4)/14 + 46/14. Suppose 0 = 2*n, f*n + 11 = -5*c - 4. List the prime factors of ((-48)/20)/(c/10). 2 Suppose 4*j = 933 - 205. What are the prime factors of j? 2, 7, 13 Let a(m) = m**2 - 2*m + 5. What are the prime factors of a(-4)? 29 Let k(o) = o**3 - 6*o**2 - 5*o - 6. Let i be k(7). List the prime factors of (-477)/(-36) - 2/i. 13 Suppose 2*c = 3*s + 3*c + 2, 2*s + 4*c = -8. Let f be s + (2 - 0) + -11. What are the prime factors of f/(-15)*3*5? 3 What are the prime factors of (-2 - -2 - -98) + 0? 2, 7 Let a(v) = 2*v + 5. Let k(u) = 2*u + 4. Let d(z) = -3*a(z) + 4*k(z). Let n be d(2). Let j = n - -2. What are the prime factors of j? 7 Suppose -b - 3 = -2*b - 5*f, -f + 15 = 5*b. List the prime factors of b. 3 Let n = -33 - -58. What are the prime factors of n? 5 Let k(v) = 69*v**3 + 2*v**2 - 2*v + 1. Let z be k(1). Suppose -z - 1 = -2*r + 5*h, -4*h - 68 = -2*r. List the prime factors of r. 2, 7 Let h = -1 + 1. Let i = -6 - h. Let f(s) = s + 14. List the prime factors of f(i). 2 Let f(b) = -32*b**3 - b**2 + 1. List the prime factors of f(-1). 2 Let g(m) = -m**3 - 3*m**2 + 4*m + 4. Let q be g(-4). Suppose 32 = 6*y - 2*y - 5*r, -y = -q*r - 8. What are the prime factors of y? 2 Suppose 4*o - 3 = -23. Suppose 11 = -4*b - s, 0*s + 3 = 3*b - 3*s. Let a = b - o. What are the prime factors of a? 3 List the prime factors of (-3)/9*-3 + 14. 3, 5 What are the prime factors of 3/(190/(-294) + 2/3)? 3, 7 Suppose -2*w = 5*p - 0*w - 18, 3*p - 2*w = -2. Suppose n - 60 = -p*n. What are the prime factors of n? 2, 5 Let j = 7 + -3. Suppose -3*o - 74 = -5*t - 0*o, 67 = j*t - 5*o. What are the prime factors of t? 13 Suppose 3*o - 2*q = 18, 5*o = -2*q - 2*q + 30. Suppose o*g - 3 = 5*g. What are the prime factors of g? 3 Let y = -61 - -139. What are the prime factors of y? 2, 3, 13 Let y be (-2)/(-5) + 99/15. Let w(v) be the first derivative of -v**2/2 + 9*v + 1. What are the prime factors of w(y)? 2 Suppose -x + 2 + 15 = 0. Let i = -6 + x. List the prime factors of i. 11 Suppose 0 = 3*s + 2*s - 140. Suppose r = 3*r - s. What are the prime factors of r? 2, 7 Let v be 3*(-3 + 11/3). Let f be 2/(v/(-23))*-1. Let u = -13 + f. List the prime factors of u. 2, 5 Suppose -4*l - l + 140 = 0. What are the prime factors of (120/l)/((-1)/(-7))? 2, 3, 5 Let c(j) = j**3 + 5*j**2 + 5*j + 6. Let k be c(-4). Suppose -10 = k*d, 5*d + 1 = -6*r + 3*r. What are the prime factors of r? 2 Let s = -5 + 10. Suppose -2*i - s - 9 = 0. Let p = 19 + i. What are the prime factors of p? 2, 3 Let n(y) = -3*y + 5. Let i(s) = -4*s + 5. Let a(x) = -2*i(x) + 3*n(x). Suppose 0 = -r + 2*m - 5, 3*r + 2*r + m + 25 = 0. List the prime factors of a(r). 2, 5 Let b(p) = 70*p**2. Let k be b(-1). Suppose -4*j = -k + 10. What are the prime factors of j? 3, 5 Let g(v) = 2*v**2 + 6*v. Let a be g(-4). List the prime factors of (18/12)/(3/a). 2 Let k(g) = 15*g**3 + 3*g**2 - 7*g - 3. List the prime factors of k(3). 2, 3, 17 Let x = 45 - 16. List the prime factors of x. 29 Let a = -6 - -6. Let c = 5 - a. What are the prime factors of 12 - (c + 1)/(-2)? 3, 5 Suppose -8*p = -3*p - 185. List the prime factors of p. 37 Let p(r) be the first derivative of r**4/4 + 2*r**3 - 4*r**2 + 10*r + 6. Let k = 9 + -16. List the prime factors of p(k). 17 Suppose -2*q + 6*q = -56. Let p = -51 - -82. Let m = q + p. List the prime factors of m. 17 Let q(l) = 3*l**2 + l. Let u be q(-1). Let f be (-249)/(-12) + (-3)/4. Suppose -2*b + 2*d = -28, 2*d = u*b + 4*d - f. What are the prime factors of b? 2, 3 Let j(i) be the third derivative of i**5/30 + i**4/12 - 5*i**3/6 + 4*i**2. Let n be j(-5). Let x = 51 - n. List the prime factors of x. 2 Let s(l) be the second derivative of -l**4/24 - l**3/6 - l**2/2 - 2*l. Let d(z) be the first derivative of s(z). List the prime factors of d(-7). 2, 3 Let b be -1 + (-1 - -54)*1. Suppose 3*g + f = b, -2*f + 28 = 2*g + 2*f. Suppose 4*r - g = 22. What are the prime factors of r? 2, 5 Let t(d) be the third derivative of -d**5/60 + 3*d**4/8 + 2*d**3/3 + 3*d**2. What are the prime factors of t(5)? 2, 3 What are the prime factors of 472/10 + 9/(-45)? 47 Let s = 6 + -3. Suppose 0 = s*j - 0*j - 384. What are the prime factors of (-4)/10 + j/20? 2, 3 Let l = 1 - 1. Suppose 8 = 4*u - l. Let f = 13 - u. What are the prime factors of f? 11 Let k(d) = -d + 13. Let z be k(9). Suppose -o + 120 = z*l, l - 4*l = 3*o - 90. List the prime factors of l. 2, 3, 5 Let l(j) = -8*j + 7. List the prime factors of l(-10). 3, 29 Let y(v) = v**2 + 1. Let c(s) = 7*s**2 + 9*s + 13. Let b(u) = c(u) - 6*y(u). What are the prime factors of b(-9)? 7 Let f(q) = -16*q**3 - 3*q**2 - 2*q - 3. Let b(m) = -m**3 + m**2 + 1. Let c(z) = 2*b(z) + f(z). List the prime factors of c(-1). 2, 3 Suppose 23 = 3*t - 2*s, -t - 3*t + 5*s = -40. Suppose 3 = -t*w + 2*w. What are the prime factors of ((-33)/12)/(w/4)? 11 Let w = 191 + 50. What are the prime factors of w? 241 Let k(f) = -f**3 - 7*f**2 - 8*f - 7. Let z = -3 + 4. Let a = -7 + z. List the prime factors of k(a). 5 Suppose -6 = 3*y - 3. Let n = y + 5. Suppose i + 2*i = -2*h + 11, 3*h = -n*i + 14. List the prime factors of i. 5 Let z be (-5 + 4)*(-10 + -1). Let a = z - -2. What are the prime factors of a? 13 Let v(y) = 4*y**2 + 10 - 3*y**2 + 8 - 7 - 11*y. List the prime factors of v(12). 23 Suppose 0 = -3*r, 0 - 10 = -2*u + r. Suppose u*a + 4*k = -k + 45, 2*k - 33 = -5*a. Suppose x - a*x + 12 = 0. What are the prime factors of x? 3 Let o = 11 + -7. Suppose -4*d - 208 = -o*m, 5*m - d + 62 = 314. List the prime factors of m. 2, 5 What are the prime factors of (-2739)/(-18) + (-2)/12? 2, 19 Let c = 12 + -7. Suppose 0 = t - 2 + 7, 20 = c*j + 5*t. Let g = -5 + j. List the prime factors of g. 2 Let b(h) = -11*h**2 - 8*h + 45. Let n(t) = 7*t**2 + 5*t - 30. Let a(c) = -5*b(c) - 8*n(c). What are the prime factors of a(0)? 3, 5 Suppose 0 = -5*b - 3*c - 3, -3*b + 4*c + 0 = -4. Let k(d) = d**3. Let r be k(b). List the prime factors of 0/(-2) + (11 - r). 11 Let t(g) = 3416*g. Let p(i) = -67*i. Let n(d) = 305*p(d) + 6*t(d). List the prime factors of n(1). 61 Suppose w - 3*w = 6. Let x be ((-3)/2)/w*4. Suppose -x*v = a - 22 - 5, 2*a = 3*v - 44. List the prime factors of v. 2, 7 What are the prime factors of ((-122)/(-6))/(6/18)? 61 Suppose 54 = 2*i + i. Suppose c + 1 = -10. Let w = i + c. List the prime factors of w. 7 Let y = -8 - -11. Suppose -m + y = -0. What are the prime factors of m? 3 What are the prime factors of (-189)/14*(-80)/6? 2, 3, 5 Let s(f) = -f + 94. Let r be s(0). Let p = -66 + r. What are the prime factors of p? 2, 7 Suppose c + 3*r = 80, -2*c + r = -4*c + 165. What are the prime factors of c? 83 Suppose l + 0*l - 10 = 0. List the prime factors of l. 2, 5 Let m(u) = u**2 + 5*u - 3. Let f be m(-6). Let l(t) = -t + 5. Le
{ "pile_set_name": "DM Mathematics" }
6 + f. What is the common denominator of p and -99/4? 12 Let c(o) = -14 - o + 8*o + 0*o. What is the smallest common multiple of c(4) and (-94)/(-6) + 2/6? 112 Let w be (-6)/5*60/1698. Let g = -14963/849 + w. What is the common denominator of g and 13/3? 3 Let g be 10 - (2 + (3 - 3)). Let o = -5 + g. Calculate the least common multiple of 10 and o + 1 + 3/3. 10 Let q = 466721/24 + -19444. Find the common denominator of q and 61/30. 120 Let s = 31 - 46. Suppose -5*q - 20 = -5. Find the common denominator of q + s*5/(-35) and -23/6. 42 Let q be (-12)/(-8)*8/6. Let l be q/(-4)*2 - 0. Calculate the least common multiple of (-12)/8*2*l and 3. 3 Let m = 252959/27 + -9371. Calculate the common denominator of m and -71/96. 864 Let b = 1285 - 1243. Calculate the smallest common multiple of (12/14)/(3/21) and b. 42 What is the common denominator of (-6)/4 - (-1568)/462 and -19/8? 264 What is the common denominator of ((-325)/520)/((-7)/(-60)) and -111/112? 112 Let n = 4124 - 7427. Let h be (-9967)/(-3) + 2/(-12). Let l = n + h. What is the common denominator of -13/5 and l? 30 Suppose -3*z = -o + 69, 217 = o + 2*o + z. What is the least common multiple of ((-52)/(-6) + 2)*162/o and 40? 120 Suppose 5 = 5*d - 5. Suppose -90*r = 36*r - 1134. What is the lowest common multiple of d and r? 18 Suppose 137 - 365 = 5*f + z, -5*z = f + 60. Find the common denominator of 9/f + 389/20 + 0 and -101/8. 8 Let p = 2793/2 - 1271. Let g = 240 - 131. Let j = g - p. What is the common denominator of -91/8 and j? 8 Find the common denominator of -1/54 and (2/(-60))/((-72)/(-530)). 216 Let a be (-2)/520*51*-118. Let p = -362/13 + a. Find the common denominator of p and -121/20. 20 Let k = 325/37 + -17609/1554. What is the common denominator of k and -71/35? 210 Let c = -14667 + 176119/12. Calculate the common denominator of c and 61/207. 828 Let b(z) = -3*z - 5. Let v be b(-2). Let c(i) = -2*i**2 - 1. Let l be c(v). What is the smallest common multiple of 8 and l + 25*(-2 + 3)? 88 Let w be (-318)/39 - 2/(-13). Let u be (-261)/15 - w/20. Let i = u - -31. What is the lowest common multiple of 6 and i? 42 Let h = 41/2 + -36. Find the common denominator of -365*20/375 + (-2)/10 and h. 6 Suppose -n - f = 1, -f - 5 = -0*f. Suppose n*z - 7*z = 3*o - 66, z - 17 = -2*o. Calculate the lowest common multiple of 27 and z. 27 Let f = 2130 + -1200. Calculate the least common multiple of f/21 - 2/7 and 16. 176 Let i(n) = 14*n**2 - 225*n + 38. Let h(w) = 2*w**2 - 6*w - 2. Calculate the least common multiple of i(16) and h(5). 198 Let k(l) = l + l**3 + 4*l**2 + 3*l**2 - 8 - 2*l**2 + l**2. Let i be k(-4). Find the common denominator of (-107)/i*3/3 and -25/4. 20 Suppose -52 + 4 = -4*d. Let o(v) = v**3 + 12*v**2 + 6*v - 1. Let n be o(-11). Calculate the least common multiple of 2/d - (-477)/n and 7. 63 Suppose j - 336 = -3*j. Let b = j + -62. Calculate the smallest common multiple of 6 and b. 66 Suppose -6*k = -61 - 11. What is the lowest common multiple of (-18)/(-8) + (-2)/8 and k? 12 Suppose 2*m - 3*l - 2 = -5, 3*l = -5*m - 18. Let d be 228/765 + 1/m. Let i = d + 112/765. Find the common denominator of 6/5 and i. 45 Let j be (-13*3)/(4/20). Let h be (-1361)/(-7) - (-3 + 3). Let i = h + j. Calculate the common denominator of i and 95/8. 56 Let q = -10 + 15. Let x be q/((-5)/9857)*1. Let w = x + 157629/16. What is the common denominator of -117/20 and w? 80 Let z = -15 + 37. Let y = 41 - 27. What is the least common multiple of z and y? 154 Let w = 2/3463 - -183535/6926. Find the common denominator of w and 2/20*(-20 - 1). 10 Calculate the common denominator of 107/1598 and (-44)/48 - 3/9. 3196 Let a = -55148595966/652925 + 1674499/52234. Let f = 591072/7 + a. Let q = f + -77/25. Find the common denominator of q and 113/12. 84 Let k = 3438 + -17134/5. Let h = -1823/165 + k. What is the common denominator of 68/57 and h? 627 Let o = -19197/8242 + 19/317. Find the common denominator of o and -20/11. 286 Let b(w) = -w**2 + 10*w + 10. Let y be b(11). Calculate the common denominator of 226*6/(-432) - 5/(-4) and -2 - (116/44 + y). 99 Find the common denominator of -57/154 and (-380)/(-18)*378/504. 462 Let r = -352 + 366. Calculate the least common multiple of r and 3. 42 Suppose -2*y - 32 = -2*w + 3*y, 50 = 5*w - 5*y. Suppose -110 = -w*n - 5*n. Suppose 4*s - 20 = -0*s. What is the least common multiple of s and n? 10 Let p = -32342 + 3331309/103. Let j = 4829/2060 + p. Calculate the common denominator of -81/10 and j. 20 Suppose 0 = 57*c - 30*c + 648. Suppose 0 = y - 5*i - 100, y - 52 = 4*i + 44. What is the lowest common multiple of ((-3)/2)/(c/y) and 12? 60 What is the smallest common multiple of 48 and (-312)/(-26)*(-1 - (-3 - -1))? 48 Calculate the common denominator of (-36443)/4620 - 16/(-2) and 71/15. 420 Suppose -2*y + 10 = -0*y. Suppose 0 = 4*o + 5*q - 24, -5*q = y*o - 0*q - 25. Suppose c - 7 - 5 = 0. What is the smallest common multiple of c and o? 12 Let y(r) = 3*r**2 - 2. Let b be y(1). Let c(z) = -z**2 + 11*z**3 + 23*z**3 + 14*z**3 + z. What is the common denominator of 41/14 and c(b)? 14 Let n(h) = -h**2 - h + 6. Let j be n(5). Let r(b) = 3*b**2 + 12*b + 20. Calculate the least common multiple of -10*(j/15)/2 and r(0). 40 Let a(t) = 2*t**2 + 15*t - 36. Calculate the smallest common multiple of a(-11) and 25. 1025 Let p = -16476709/292 - -56427. Calculate the common denominator of p and -43/22. 3212 Let k = 5/5334 + 115982/34671. Find the common denominator of k and -45/8. 104 Let c(r) be the third derivative of -r**4/3 - 4*r**3 + 29*r**2. Calculate the lowest common multiple of 2 and c(-7). 32 Find the common denominator of 67/10 and 2/5 - (6 + (-53816)/9485). 2710 Suppose 8 = -5*h + 33. Suppose z = -5*c - 25, -3*c = 5*z - 6*c - 15. Calculate the smallest common multiple of h and 2/4*(z - -2). 5 Let f = 1188 + -2427/2. Find the common denominator of -39*2/10*(-25)/20 and f. 4 Let s(l) = l**2 + 4*l + 2. Let m be s(-2). Find the common denominator of -1 - (160/(-6))/m and (-1610)/(-36) - (-2)/(-9). 6 Let g be 2 + 3/((-15)/5). Let l = 328 + -3303/10. Find the common denominator of l and ((-1101)/(-12) - g)*6/81. 90 Suppose -12 = 3*g - 7*g + 4*j, -g = 3*j + 5. What is the least common multiple of 17 and g? 17 What is the least common multiple of 3/(-9)*(5 - -2 - 13) and 24? 24 Calculate the common denominator of -61/34 and 31*(5 + -12 + (-423)/(-60)). 340 Suppose 72 = 6*y - 4*y. Suppose -2*x = 3*t - 32, y = 5*x + 5*t - 39. Suppose 85 = 4*g + x. What is the least common multiple of 2 and g? 18 Let h = -3345858808/13545 - -247018. Let q = 239311/108360 - h. Find the common denominator of -101/6 and q. 24 Find the common denominator of 33 and 4 + 1680/(-250) + 3 + -1. 25 Calculate the common denominator of 23/4 and 565/30 + (-40)/(-24). 4 Suppose -6*q = -8*q + 8. Calculate the lowest common multiple of 18 + 1 + q + -1 and 14. 154 Suppose 3 = -3*m, 0*x = 4*x + 4*m - 20. Let j be 22/(-10) - x/(-30). What is the common denominator of 2 - ((-17)/4 + j) and -64/3? 12 Let f = 165/23 - 12371/1702. Let r = f + 3085/148. Calculate the common denominator of -6 + 3 + 190/4 and r. 4 Suppose -5*n + 4*c + 11 = -9, 0 = -3*n + 5*c + 12. Let l(p) = p**3 - 4*p**2 + 5*p + 2. Calculate the smallest common multiple of 4 and l(n). 44 Let f = 94 + -104. Suppose -d - 2 = -5*m, m - 16 = -4*d - 3*m. Calculate the lowest common multiple of 2 and -1 - f/6*d. 4 Suppose 6*g = -3*b + g + 300, 0 = 5*b + 2*g - 519. Calculate the least common multiple of ((-35)/b)/((2/(-18))/1) and (-35)/(-14)*(-8)/(-10). 6 Suppose i = -5*p + 205, 0 = 2*p + i + i - 90. What is the least common multiple of 24 and p? 120 Suppose -4*b - 2*r + 23 = 3, 3*b + 2*r = 13. Let j be (0 - 26)/(b + -6). Find the common denominator of 15/336*j*-4 and 33/14. 14 Let m(v) = 9*v**2 + 74*v - 580. What is the lowest common multiple of m(8) and 42? 588 Suppose 178*a - 14 = 176*a. What is the lowest common multiple of 67 and a? 469 Let a = -72 + 105. What is the smallest common multiple of 84/10*(-900)/(-315) and a? 264 Let k = -2411 + 9713/4. Find the common denominator of 97/2 and k. 4 Let g be ((-38)/6)/(7/21). Let a = -12 - g. Suppose -a*c = -3*c + 196. Calculate the common denominator of c and -43/7. 7 Let n = 11 + -13. Let p(j) = j**2 + j - 1. Let d
{ "pile_set_name": "DM Mathematics" }
43)/(-15603))/(17/18921). 53 What is the value of ((2021976/(-777))/(-276))/((4/14)/1)? 33 What is (-16149)/5383*(-10)/8*5/((-225)/(-222))? 37/2 Calculate 5/(38/(1216/(-120))*-18). 2/27 Evaluate ((-33176)/1001)/(-58)*(21/(-2))/(-3). 2 -3*((-26)/18)/(237/(-2133)) -39 ((-153)/(-12))/(6678/3816) 51/7 What is the value of -49*(594/(-378))/11? 7 Evaluate (-96)/39*233883/(-7996). 72 What is the value of ((7/(-105))/((-1)/9))/(28/(-20020)*-33)? 13 Calculate (6/(144/(-30)))/(161/(-336)*10). 6/23 What is the value of (169/39)/(202/606)? 13 8*72345/53424*(-9)/(540/(-16)) 26/9 What is the value of 54*(192/8)/(-72)*7/(-168)? 3/4 Evaluate (-8)/36*6*8643/(-134). 86 Evaluate (8/4)/(((-6)/(-174))/((-2)/4)). -29 Calculate (-2*(-2)/(-3340))/(1865/2238*12/(-100)). 2/167 What is (1*18/(12/2))/((-36)/156)? -13 Calculate ((-2408)/602)/(550/(-11)). 2/25 What is ((-118)/118)/(((-438)/5475)/(2*1))? 25 Calculate ((-372)/36)/((-65)/195). 31 ((-17)/(-102)*2)/((-325)/39) -1/25 What is (120/(-44))/((-850)/(-11220))? -36 ((-134)/201)/((4/376)/(12/16)) -47 Evaluate ((-4)/12)/((-46)/(-92))*1/(8/(-876)). 73 What is the value of ((-2)/(-4))/((-78)/312)*((-126)/(-1456))/9? -1/52 Calculate ((-32)/(-176))/(144/1221)*8. 37/3 26/(82/((-17384)/(-8957))) 8/13 What is the value of -32*682/26784*(-120)/44? 20/9 (-4)/((-432)/72*5/(-375)*2) -25 What is (6048/7776)/(7/26)? 26/9 What is the value of ((-3619)/88)/47*120/28? -15/4 What is the value of (0/(-35))/27*(-2)/16? 0 What is the value of (-13)/((-1443)/(-15651))*1/(3/1)? -47 Evaluate -1*100/275*(-33781)/(-664). -37/2 Calculate ((-4)/(-10))/(8/25*(-234)/((-133848)/(-715))). -1 Calculate (-13)/3900*7*(-832)/728. 2/75 646/(-2261)*(-63)/(-18)*24 -24 Calculate ((-20)/240*-8)/(6*(-6)/486). -9 What is ((-4)/8)/((185/15)/(-37)*(-6)/(-280))? 70 4*14/49*39*(-22)/(-30888) 2/63 Evaluate ((-87)/(-12))/(2*(1152/32)/864). 87 Evaluate ((2/(-15))/(28/(-175)))/((-95)/152). -4/3 (81/(-18))/(1374/21068) -69 ((-16856)/(-344))/882*30/(-2) -5/6 What is the value of -4*((63/(-14))/((-480)/88))/(33/(-22))? 11/5 What is (-5)/(-1)*1709/(-5127)? -5/3 Calculate 22/(-6)*-2961*(-67)/(-15477). 47 Evaluate (-448)/336*74/(-4)*-1*(-135)/30. 111 What is 3018/9054*43*3? 43 (-600)/(-75)*7/(-98) -4/7 Calculate (((-3)/108)/((35/(-5))/28))/(3/135). 5 Evaluate (28847/16016)/317*16*2. 2/11 What is ((-215)/160)/(125/(-4000))? 43 Calculate 4510/30*345/(-1265). -41 Calculate (2/(-1))/((-116)/(-1218)*(-7)/(-15)). -45 What is the value of ((-162)/(-6))/((6/24)/(25/75))? 36 Calculate ((-15)/45)/(40/(-24)*(-8)/1040). -26 What is the value of (128/4160*(-52)/(-12))/((-14)/18)? -6/35 Evaluate (1520/(-1330))/((6*3/24)/21). -32 Calculate (6/(-32))/((-4407)/5424). 3/13 Evaluate (21/8)/(1293/10344). 21 Evaluate (-12*(-37)/(-3774)*1139)/(2*-1*-1). -67 What is the value of (6376/5579)/((1/(-6))/(189/405))? -16/5 What is the value of 5*(-15)/(-80)*(-27060)/11275? -9/4 Evaluate (-639)/((-1)/(-5)*45). -71 ((2/8)/((-100)/400))/(498/58266) -117 Evaluate 58/3045*12/((-36)/(-9)). 2/35 What is ((-2)/(-28)*-12)/((-8)/4*(-162)/81)? -3/14 Calculate 145/2*129/430*(-8)/(-3). 58 Calculate 13/(((-4)/(-22))/((-88)/484)). -13 2892/(-2651)*(-33)/3078 2/171 Calculate ((6/8)/((-30)/2))/(129345/(-206952)). 2/25 (((117/(-153))/13)/3*1)/1 -1/51 Calculate 2/((-92)/9982*31). -7 What is the value of 5*3*(10332/(-35))/(-246)? 18 Calculate ((1/1)/((-12)/(-44)*-11))/(-7). 1/21 Evaluate (1/42)/(165/80850). 35/3 What is the value of ((-7)/2485*(-45)/(-27))/(3/9*1)? -1/71 What is (-54750)/(-450)*39/(-65)? -73 What is the value of (((-8140)/108)/(-407))/(-2*(-10)/(-48))? -4/9 Calculate ((4/(4/(-2)))/5)/(348/8990*62). -1/6 ((-14520)/(-193116))/(30/228) 4/7 What is the value of ((-63684)/(-435))/(-61)*30/4? -18 What is ((304/510)/19)/(208/260)? 2/51 Evaluate 1*3/(-21)*(-49)/(-14)*1475/(-1180). 5/8 (1/6)/(((-32)/(-30))/4*580/2320) 5/2 What is 38*-64*4/(-152)? 64 Calculate -8*(-10)/4*(-21)/83160*-18*-1. -1/11 What is (102*(-136)/(-24276))/(13/((-4641)/2))? -102 What is ((310800/1221)/100)/(1/(-22))? -56 Calculate ((-10)/100*8)/((-54)/(-315))*(-54)/(-1197). -4/19 Calculate ((-48)/(-2))/((-6)/5*1040/(-936)). 18 Evaluate (-21)/(-2492)*((-63)/(-7))/((-270)/(-10))*8. 2/89 What is the value of (-15)/(-14)*1638/702*(-72)/(-210)? 6/7 What is (-99)/(((-12)/18)/((-20)/36)*360/(-576))? 132 (-21*(-19)/(-1026))/((-56)/(-2280)) -95/6 What is the value of (-46)/46*(-1)/(-2)*((-120)/224)/(-15)? -1/56 ((5/(-1))/(-5))/((-23)/3795*3) -55 Evaluate ((-17)/((-34)/(-8)))/((-2)/(-4)*(-54)/459). 68 Evaluate (79/(-237))/((-87)/(-45)). -5/29 Calculate (-1)/((5/2)/5)*13095/(-970). 27 Calculate (-22)/(-4840)*-11*30/25*5. -3/10 What is the value of 465/31*(-148)/555? -4 (-96)/64*(304/(-12))/((-10)/(-5)) 19 Calculate (((-336)/(-49))/(-8))/(156/(-455))*256/5. 128 961/(-5766)*2*-6 2 What is 2*3/(-19)*(7/1274)/((-120)/(-560))? -2/247 73/((-2774)/(-38))*(3/2)/((-366)/8) -2/61 (19/((-532)/48))/((1620/(-48))/45) 16/7 ((-2)/(-16)*20/(140/(-7)))/(33/(-1254)) 19/4 Evaluate 1746/(-36)*(-20)/(-20)*(-10)/5. 97 Calculate ((-102)/(-5780))/((-9)/(-90)). 3/17 What is (11784/6383)/(16/364)? 42 ((-2)/8)/((10350/3000)/(((-72)/10)/(-6))) -2/23 What is 7378/(-124)*(-96)/204? 28 What is the value of (-18)/(-180)*21/(-588)*-15*4? 3/14 Calculate ((-4940)/114)/(140/(-168)). 52 What is the value of (((-177)/1062)/(((-66)/36)/11))/(8/(-272))? -34 What is the value of 100/((-220)/(-22))*(-15)/390? -5/13 (-159)/(-9)*-12*((-1537)/(-116))/53 -53 What is (25/60)/(3995/(-94))*-4*2? 4/51 ((-33432)/(-3582))/((-7)/99) -132 What is the value of ((6272/336)/56)/(2/(-186))? -31 (754/261)/(233/8388) 104 What is the value of 2496/(-1456)*((8/(-3))/8)/((-4)/(-3))? 3/7 What is 120/5*(12/5)/((-13986)/15540)? -64 Calculate ((-6)/(-7))/((-2)/(40/(-12))*200/280). 2 231/42*(50/1045)/5 1/19 What is the value of 92/(-10)*((-89)/(-267))/((-2)/(-30)*-4)? 23/2 Evaluate (-234)/156*(-676)/(-39). -26 What is (253/(-1507))/(-23)*(-8)/(-4)? 2/137 ((-4)/3)/2*48/(-80)*105/(-98) -3/7 What is the value of (1/4)/((-77)/(-56))? 2/11 Calculate ((-212)/30528)/(98/1323). -3/32 What is (3/27*-68)/(44/198)? -34 What is the value of 480/57900*(-245)/(-196)? 2/193 Calculate ((201/(-2))/((-15480)/(-6880)))/(-4*2/(-12)). -67 Calculate (6/(-8))/(-1)*(-9552)/199. -36 ((-6)/(-34)*30/6)/((-135)/90) -10/17 What is (-385560)/5100*(-5)/7? 54 Calculate (598/7475*(-45)/153)/((-2)/150). 30/17 852/(-1491)*(-630)/(-18) -20 29/(522/48)*(-10)/((-7360)/(-24)) -2/23 Evaluate (27/(-1008)*-8)/(33/44). 2/7 Calculate (14/(-678))/(((-1088)/11968)/(6/77)). 2/113 (((-10)/(-60))/(14/(-42)))/((-3)/((-81)/(-6))) 9/4 Evaluate (8/2)/(28/(-3990)*-38). 15 Evaluate (10/20)/(174/11658*-1*(-1)/(-2)). -67 10105/705*78/559 2 Evaluate (-5*(-9)/(-20))/((-10)/12*(-612)/(-80)). 6/17 Evaluate (-70)/7*34/3230. -2/19 What is 15/2*(-110012)/(-117870)? 7 Calculate 49/(-14)*(-77)/(13475/450). 9 Calculate 130/(215930/(-453))*(-4)/(-1). -12/11 Evaluate ((-188)/(-6)*9468/5260)/((-9)/(-15)). 94 1304100/2190888*2/10*-3 -5/14 What is the value of ((102/6)/(-714))/((-11)/(154/4))*-16? -4/3 What is (60/7)/(((12800/(-210))/(-256))/(5/3))? 60 What is -19*((-18)/(-21)*-1)/((-2722)/(-9527))? 57 Calculate (4*(-370)/120)/((-40)/(-240)). -74 (13/(-6))/((5/4)/(2385/636)) -13/2 Calculate (-3)/(84/(-7))*-2*5/(25/(-8)). 4/5 What is the value of -3*(8/(-18)*(-2331)/1036)/(2/94)? -141 ((63/(-66))/((-33)/((-264)/(-28))))/(3/(-4)) -4/11 What is 2*14/140*-30? -6 Evaluate 3/(-102)*(-10)/25*1080/108. 2/17 What is the value of (2/(36/3))/((-63)/((-25704)/221))? 4/13 Calculate 766935/(-71760)*32/(-3). 114 What is the value of (-4080)/(-1496)*231/15? 42 Evaluate (72/(-2))/(3684/(-1228)). 12 What is the value of ((-11)/86)/((-21736)/15808)? 4/43 What is the value of (9/(-18))/((-34)/51*(-7)/14)? -3/2 Evaluate ((-1)/((-5)/(-99)))/((100/(-10))/50). 99 Evaluate (-766260)/(-13932)*(1/(-1))/15. -11/3 Calculate ((-12166)/2370*27/(-21))/((-9)/(-60)). 44 Evaluate 9/(-6)*((-2)/21)/(34/(-42)). -3/17 52/3120*-24*4/((-88)/10) 2/11 (9366/(-355908))/((-1)/(-3)) -3/38 What is the value of 6*(-18)/702*(12/(-8))/3? 1/13 What is ((-6435)/26)/(-11)*(-43)/(-387)? 5/2 Calculate (2314/(-178))/(1/9*-9). 13 What is 26*(20/8)/5? 13 What is the value of (-21)/(-8)*(643168/1791)/101? 28/3 What is (-22*250/6600)/(1/(-30))? 25
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 47931863? 7, 6847409 What are the prime factors of 93358335? 3, 5, 7, 127, 7001 List the prime factors of 896261792. 2, 23, 173, 7039 List the prime factors of 415877215. 5, 13, 6398111 List the prime factors of 2211800911. 23, 37, 599, 4339 What are the prime factors of 760241257? 37, 157, 130873 List the prime factors of 966921907. 7, 138131701 List the prime factors of 2309339139. 3, 79, 1013, 9619 List the prime factors of 1397832651. 3, 463, 335453 What are the prime factors of 649032129? 3, 24038227 List the prime factors of 2441365202. 2, 1220682601 List the prime factors of 102564501. 3, 13, 2629859 What are the prime factors of 79830190? 2, 5, 11, 53, 13693 What are the prime factors of 527961560? 2, 5, 7, 1885577 List the prime factors of 1398462686. 2, 41, 17054423 What are the prime factors of 55013005? 5, 2381, 4621 List the prime factors of 2312860762. 2, 1571, 736111 What are the prime factors of 102455056? 2, 11, 17, 283 List the prime factors of 1822975819. 7, 6661, 39097 What are the prime factors of 52752716? 2, 71, 185749 List the prime factors of 267130037. 267130037 List the prime factors of 40020467. 59, 271, 2503 What are the prime factors of 3750133951? 179, 20950469 List the prime factors of 91084203. 3, 7, 587, 821 What are the prime factors of 1378134354? 2, 3, 229689059 What are the prime factors of 336467886? 2, 3, 56077981 What are the prime factors of 42327500? 2, 5, 16931 What are the prime factors of 5651929329? 3, 277, 1087, 6257 What are the prime factors of 4367482445? 5, 873496489 What are the prime factors of 575530257? 3, 17, 11284907 List the prime factors of 77316151. 11, 7028741 What are the prime factors of 2080185758? 2, 7, 41, 97, 37361 List the prime factors of 2747256. 2, 3, 113, 1013 List the prime factors of 94641928. 2, 107, 110563 What are the prime factors of 4014819093? 3, 17, 3023, 26041 What are the prime factors of 11947520? 2, 5, 13, 359 What are the prime factors of 57889586? 2, 31, 933703 What are the prime factors of 891398796? 2, 3, 383, 193951 What are the prime factors of 52747979? 1283, 41113 List the prime factors of 18204737. 18204737 List the prime factors of 2599012627. 23, 31, 47, 77557 List the prime factors of 372842294. 2, 11, 16947377 List the prime factors of 172095004. 2, 43023751 List the prime factors of 542084610. 2, 3, 5, 17, 1062911 What are the prime factors of 1902894? 2, 3, 7, 45307 List the prime factors of 3830171621. 17, 13253189 What are the prime factors of 384912755? 5, 59, 257, 5077 List the prime factors of 6702424. 2, 307, 2729 What are the prime factors of 582281293? 11, 52934663 What are the prime factors of 138786607? 138786607 What are the prime factors of 955336258? 2, 477668129 List the prime factors of 17426624. 2, 277, 983 List the prime factors of 52747243. 17, 53, 58543 What are the prime factors of 594959440? 2, 5, 31, 127, 1889 List the prime factors of 6089002782. 2, 3, 4513, 224869 What are the prime factors of 503090903? 7, 71870129 List the prime factors of 508658108. 2, 7, 2647, 6863 What are the prime factors of 228840522? 2, 3, 19, 1153, 1741 What are the prime factors of 3833364429? 3, 109, 181, 21589 List the prime factors of 2849665700. 2, 5, 7, 31, 131321 List the prime factors of 38531033. 197, 317, 617 What are the prime factors of 280840995? 3, 5, 19, 227, 1447 What are the prime factors of 305377162? 2, 139, 1098479 List the prime factors of 208588528. 2, 43, 137, 2213 List the prime factors of 44646300. 2, 3, 5, 113, 439 What are the prime factors of 890831600? 2, 5, 41, 54319 What are the prime factors of 518640249? 3, 659, 262337 What are the prime factors of 3193027627? 137, 227, 102673 List the prime factors of 889585053. 3, 7, 23, 107, 2459 What are the prime factors of 173356700? 2, 5, 11, 14327 List the prime factors of 7859006963. 1013, 7758151 List the prime factors of 1223001270. 2, 3, 5, 43, 71, 4451 List the prime factors of 94437664. 2, 47, 62791 What are the prime factors of 180127736? 2, 229, 98323 What are the prime factors of 180619914? 2, 3, 191, 397 What are the prime factors of 1878674683? 167, 2131, 5279 List the prime factors of 1106118708. 2, 3, 92176559 List the prime factors of 2062534163. 17, 121325539 What are the prime factors of 123605940? 2, 3, 5, 2060099 List the prime factors of 120614810. 2, 5, 12061481 List the prime factors of 87781208. 2, 10972651 What are the prime factors of 21227675? 5, 7, 101, 1201 List the prime factors of 268181574. 2, 3, 41, 1090169 What are the prime factors of 89552718? 2, 3, 4975151 What are the prime factors of 17857809? 3, 1984201 List the prime factors of 145533648. 2, 3, 13, 59, 67 List the prime factors of 11478785. 5, 587, 3911 List the prime factors of 242397894. 2, 3, 47, 859567 What are the prime factors of 309864405? 3, 5, 20657627 List the prime factors of 23992320. 2, 3, 5, 11, 71 What are the prime factors of 1756215063? 3, 59, 3307373 List the prime factors of 1063398464. 2, 443, 37507 What are the prime factors of 84581951? 29, 89, 32771 What are the prime factors of 2686924072? 2, 7, 47980787 List the prime factors of 138586536. 2, 3, 11, 233, 751 List the prime factors of 119751520. 2, 5, 7, 106921 List the prime factors of 13524735. 3, 5, 7, 18401 What are the prime factors of 1251357547? 11, 113759777 What are the prime factors of 1403213432? 2, 8219, 21341 What are the prime factors of 2264854670? 2, 5, 13, 947, 18397 What are the prime factors of 17098414? 2, 659, 12973 List the prime factors of 92728705. 5, 18545741 What are the prime factors of 417613003? 41, 10185683 List the prime factors of 1977650166. 2, 3, 1123, 293507 What are the prime factors of 2664628677? 3, 1051, 93901 List the prime factors of 39018855. 3, 5, 353, 7369 What are the prime factors of 282728701? 389, 726809 List the prime factors of 80096383. 4283, 18701 List the prime factors of 1667392088. 2, 208424011 What are the prime factors of 197936730? 2, 3, 5, 733099 What are the prime factors of 64473883? 64473883 List the prime factors of 4022462821. 13, 43, 197, 36527 List the prime factors of 1319729476. 2, 13, 25379413 List the prime factors of 138737927. 31, 4475417 What are the prime factors of 157595166? 2, 3, 239, 12211 What are the prime factors of 578278841? 7, 61, 193469 What are the prime factors of 466458462? 2, 3, 2999, 8641 List the prime factors of 17380971. 3, 577, 3347 What are the prime factors of 852366097? 11, 41, 59, 103, 311 List the prime factors of 65821538. 2, 23, 1430903 What are the prime factors of 277485568? 2, 157, 863 List the prime factors of 117782168. 2, 7, 643, 3271 List the prime factors of 169766780. 2, 5, 8488339 List the prime factors of 773229343. 17, 103, 179, 2467 List the prime factors of 727680410. 2, 5, 17, 281, 15233 What are the prime factors of 2182536594? 2, 3, 7, 17321719 List the prime factors of 51180189. 3, 17060063 What are the prime factors of 114594814? 2, 19, 1097, 2749 What are the prime factors of 891117707? 61, 14608487 List the prime factors of 79915158. 2, 3, 431, 10301 List the prime factors of 179214568. 2, 13, 277, 6221 List the prime factors of 281022170. 2, 5, 11, 13, 196519 What are the prime factors of 206951939? 31, 6675869 What are the prime factors of 4889861036? 2, 19163, 63793 What are the prime factors of 32287841? 179, 180379 List the prime factors of 361946601. 3, 40216289 What are the prime factors of 63994636? 2, 47, 340397 What are the prime factors of 64372163? 107, 421, 1429 List the prime factors of 444843669. 3, 148281223 List the prime factors of 14864226. 2, 3, 13, 107, 137 List the prime factors of 202576908. 2, 3, 113, 149393 What are the prime factors of 29981096? 2, 3747637 List the prime factors of 165512638. 2, 82756319 What are the prime factors of 979940508? 2, 3, 29, 41, 173, 397 List the prime factors of 11629241. 13, 17, 101, 521 List the prime factors of 324901328. 2, 31, 655043 List the prime factors of 2326721411. 7, 16001, 20773 What are the prime factors of 859732984? 2, 11, 79, 123667 List the prime factors of 1079606452. 2, 599, 450587 What are the prime factors of 396098027? 13, 30469079 What are the prime factors of 172106329? 29, 593470
{ "pile_set_name": "DM Mathematics" }
= a + -107. Is n composite? True Let u(m) = 50*m**3 - 4*m**2 - 2*m - 2. Let b be u(-3). Let p = -309 - b. Is p prime? False Is 5396 - (-2 + (3 - 6)) prime? False Let w be 0 - (0 - (-1 + 1)). Let t(l) = -l**2. Let x be t(w). Suppose x*u = -2*u - 3*d + 421, -u - 4*d = -218. Is u a composite number? True Let x be -3*(0 - (-1046)/(-6)). Let m be -1*1/2*202. Let r = m + x. Is r a composite number? True Let k(z) = z**2 + 2*z - 17. Is k(-8) composite? False Let h(z) = 65*z**3 - z**2 + z**2 + z - 1 + z**2 + 47*z**3. Let w be h(-1). Let a = w + 336. Is a a prime number? True Let u = 629 + -330. Is u a composite number? True Let f be (3/(-9) - 1)*3. Let o be (2/f)/(2/(-20)). Suppose -k + o*v + 382 = 0, v - 5*v + 20 = 0. Is k a composite number? True Let q(g) = 656*g + 3. Is q(29) a prime number? False Let v(y) = y - 14 + 0*y + 3*y. Suppose -3*g - 15 = 0, 4*t - 14*g = -17*g + 13. Is v(t) a composite number? True Suppose 0 = l - 3*d - 2503 - 795, 5*l + 2*d - 16541 = 0. Is l prime? True Let j(r) = 35*r - 19. Let b(y) = -y**2 - 7*y + 4. Let s be b(-6). Is j(s) composite? False Is (138/(-24) + 6)/(9/553428) a composite number? False Let l be -1 + 2 + 6/2. Suppose l*k = 3*k. Suppose 2*o - 298 = -4*r, k = -2*r - 0*o - 2*o + 150. Is r a prime number? False Let b(s) = -3*s - 20. Let c be b(-8). Suppose 5*x - 844 = -c*v, -5*v + x = -x - 1055. Is v prime? True Let a = -46 - -48. Let t(g) = 1368*g + 5. Is t(a) a prime number? True Is (-8185*6/(-20))/(3/4) a prime number? False Suppose -24 = -5*m - 64. Let k be (m + 10)*(-6)/(-4). Is (-7)/(((-6)/38)/k) a composite number? True Suppose 4*g - g - 12 = 0. Suppose h + 1 = 0, -141 - 12 = -o + g*h. Is o a composite number? False Let d(a) = 11*a**3 + 9*a**2 - 4*a - 23. Let l(n) = -5*n**3 - 5*n**2 + 2*n + 12. Let g(p) = 3*d(p) + 7*l(p). Is g(-7) a composite number? True Let b be (1 - -1)*(-51)/(-34). Suppose -d + 217 = b*h + 77, -593 = -4*d - h. Is d prime? True Let q = 2704 - -10717. Is q a composite number? False Let z(x) = 143*x - 8. Let t = -12 - -17. Is z(t) a composite number? True Suppose -4*q - 2*c = 3*c + 4, 0 = -q + c + 8. Suppose 0 = -2*g + q*n + 1518, 3*n = -5*g + n + 3855. Is g composite? False Suppose -4*d - 7*n = -3*n - 52128, 2*n - 39097 = -3*d. Is d composite? False Suppose 3*o + 4*y - 19 = 0, y - 26 = 3*o - 8*o. Suppose 453 - 83 = o*z. Is z a prime number? False Let r(b) = -73*b**3 - 5*b**2 - 8*b + 1. Suppose -38 = 5*s - 13. Is r(s) composite? False Let i(v) = v**2 + 46*v - 197. Let r be i(4). Let m(j) = -j**2 + j - 10. Let s be m(0). Is ((-5)/s)/(r/1578) a prime number? True Suppose -2*k + 2090 + 3358 = 0. Let i = k - 971. Is i a prime number? True Let z(k) = -38095*k - 181. Is z(-2) a composite number? True Let j(n) be the second derivative of -n**4/12 - 2*n**3/3 + 6*n**2 + 7*n. Let l be j(-6). Suppose -4*c + l*c + 484 = 0. Is c prime? False Suppose 5*d + 5*a - 3590 = 0, 5*d - 3690 = -4*a - 103. Suppose 3*k - 62 - d = 0. Is k a prime number? False Suppose 0 = 2*b - 4*d - 2, 0*d = 4*b - d - 18. Suppose 0 = n - 171 - 170. Suppose 0*h - 4*h + n = j, -972 = -3*j + b*h. Is j a composite number? True Let h = -185 - -408. Let c be 1/(-2)*20/(-5). Suppose c*a - h = a. Is a a prime number? True Let b(r) = 31*r**2 - 188*r + 14. Is b(-11) a composite number? True Suppose 8 = 4*g - 0. Suppose 9 = -g*b + 5. Is -13*(b + 0 + 0) a prime number? False Suppose 2*c + 2*c - 12 = 0. Suppose c*l - 51 - 78 = 0. Let q = 78 - l. Is q a prime number? False Suppose 0 = 18*t - 4*t + 22092. Let m = -901 - t. Is m a prime number? True Suppose 5*u = -0*u + 780. Let t(a) = 3*a**2 + 5*a + 8. Let r be t(6). Let d = r + u. Is d a prime number? False Let c = -28 - 12. Is (-2534)/(-10) - (-16)/c composite? True Let p = -27 - -27. Suppose p = 5*h - 4*y - 359, -h - 2*h = 2*y - 211. Is h a composite number? False Let v be -12*1/(-1)*2/(-6). Let p(w) = w**3 + w**2 + 4. Let r be p(0). Is (-1)/v + 483/r prime? False Let u = -319 + 149. Let r = -91 - u. Is r composite? False Let j(r) = 252*r**3 - 24*r**2 + 147*r + 8. Is j(7) a prime number? True Let r be (1 + -1)/(-2)*-1. Let a be (-8)/(-4) + (-1 - r). Is 205 + 0 + 0/a a prime number? False Suppose -2 = -x - 3, 5*a + 463 = -3*x. Let r = a - -164. Let h = r + -37. Is h a composite number? True Suppose -3*i - w = -11, -3*i + 4*w - 1 = -2. Suppose -i*p + 2 = -5*p. Is (-83 - -4)/(p - 0) composite? False Let o(y) = -473*y - 3. Let u be o(-2). Suppose 0*n = -5*n + 8650. Let d = n - u. Is d composite? False Let w = 11390 + -2449. Is w a composite number? False Suppose 0 = -4*s + i + 24, 3*i = 3*s - 8*s + 47. Suppose -2*c + s = -31. Suppose -c = -x + 34. Is x a prime number? True Let q = 802 - 371. Is q a composite number? False Suppose 2*m + 0 = 4, 0 = p + m - 5. Suppose 0 = 7*a - 8*a - p. Is (28 + 3)/((-3)/a) composite? False Let d = 3559 + 46082. Is d composite? True Suppose 52*m - 57*m = -13165. Is m a composite number? False Let c be 18/(-4)*10/(-15). Suppose -c*u = 168 + 180. Is 1 - (1 + -3 + u) a composite number? True Let f(y) = -18*y - 17. Is f(-4) a composite number? True Suppose -11*x + 22996 = -7*x. Is x prime? True Is (-691)/((2 - 0) + -3) prime? True Suppose 2*t - 15 - 21 = -2*s, 2*t = -4. Suppose s = 4*p + p. Is 157*(p - 0)/4 a composite number? False Let q(o) = 93*o - 101. Is q(20) a composite number? False Suppose 0 = 4*l - 11273 + 3477. Is l prime? True Suppose -2*g - 8 = -0. Let y be ((-10)/g)/((-3)/(-6)). Suppose -y*c = -c - 356. Is c a composite number? False Let u(f) be the third derivative of 2*f**5/15 + f**4/8 + f**3 + f**2. Let m be u(-3). Let h = -10 + m. Is h a prime number? True Suppose 0 = -0*f - 4*f + 5*s - 7, 2*f = 4*s - 8. Suppose -2*z + 5924 = f*z. Is z prime? True Suppose 4*z = -4*v + 12632, 4*z + v - 14559 + 1912 = 0. Is z composite? False Suppose -4*v + 20055 = -v - 4*w, -4*v + 26740 = 5*w. Suppose 3*t + 5*r - 4011 = 0, 2*t + 3*t - v = -5*r. Is t composite? True Let t(f) be the second derivative of -2*f**5/5 - f**4/2 + f**3/2 + 5*f**2/2 - 15*f. Is t(-4) a prime number? True Let m = -20 + 10. Is (-1 - m/(-5))*-11 prime? False Let w = 7 - 5. Suppose -3*p + 18 = 2*v, w*p + v = 4*p - 5. Let t = 3 + p. Is t a prime number? True Let i = 425 - 225. Suppose 0 = 4*s - 4*l + i, s + 3*l = -s - 75. Let j = s + 76. Is j a composite number? False Let m be (-2 - 27/(-6))*2. Suppose m*w - 293 = 2*w + 2*a, w - 2*a = 99. Let z = 254 - w. Is z composite? False Let x = -1372 + 153. Is 1 - x - 1/((-3)/(-3)) a prime number? False Suppose 3*t + 3*a - 19566 = 7425, t = -5*a + 8985. Suppose 10*w = 3590 + t. Is w composite? False Let f = 141 - 140. Is 5/1 + 532*f composite? True Suppose -2*j = 4*i + 2*j - 76740, i - 3*j = 19169. Is i composite? False Let n = -15444 + 9227. Let c = 10202 + n. Is c prime? False Let j(l) be the third derivative of l**5/60 + l**4/6 + 2*l**3/3 + 14*l**2. Let u be j(-15). Suppose 5*a - u = 5*s + 76, 4*a - 228 = -4*s. Is a a prime number? True Suppose 5*l - 9*l + 16 = 0. Suppose -4*m = -0*b + l*b + 1188, 1483 = -5*b - 3*m. Is (b/(-6))/((-52)/(-78)) a prime number? False Let p = -19752 - -29039. Is p a prime number? False Let p(d) = 4660*d + 39. Is p(1) a prime number? False Is ((-12)/(-30))/(((-32)/568840)/(-2)) composite? False Suppose 2*x = -a + 6*x + 8367, 2*x - 8391 = -a. Is a a prime number? False Let g = 180116 - 77529. Is g a prime number? True Suppose 5839 = 5*p - 3*s - 2446, -5*p - 2*s = -8285. Is p prime? True Let f = -1 + 5. Suppose -m + 681 = -f*d - 740, -4*m = 5*d + 1750. Let x = d + 565. Is x a prime number? True Let b be (3 - 2)*(1 - -2). Suppose 0*l - 166 = -l + u, 2*u = -b*l + 503. Let o = 16 + l. Is o a prime number? False Suppose -13 = -4*m + 27. Let r = m - -12. Is r prime? False Let s(j) = -26*j + 7. Let r(d) = d + 10. Let q be r(-6). Suppose 6*b + 3*y + 18 = 2*b, -b - q*y = -2. Is s(b) composite? False Is (-507584)/(-336) + 2/6 a prime number? True Suppose -182*d = -208*d + 332306. Is d a prime number? True Let q(n) = n**2 - n - 1. Let h(k) = 4*k + 13. Let j(s) = h(s) + 2*q(s). Is j(-10) composite? False Let g = 16714 - 8811. Let f = -4110 + g. Is f a composite number? False Let r(p) = 5 - 105*p**3 - 7*p + 0*p**2 + 20*p**2 + 106*p**3. Is r(-19) composite? False Let s be -2*(-4)/(-16)*0. Suppose 4*g - 2*p - 6358 + 2536 = s, 4*g = -2*p + 3802.
{ "pile_set_name": "DM Mathematics" }
- 15681*l**3 + 15 + 15770*l**3. 89*l**3 Collect the terms in -143*r + 23*r + 7*r**3 - 10*r**3. -3*r**3 - 120*r Collect the terms in 11104 - 11104 - 4*t. -4*t Collect the terms in 125*v**2 - 1954*v + 1954*v - 133*v**2. -8*v**2 Collect the terms in -2*a**3 - 82*a**2 + 6*a**3 + 82*a**2 - 5*a**3. -a**3 Collect the terms in 10059*h - 5166*h + 1 - 5023*h. -130*h + 1 Collect the terms in 3610*g**2 + 3624*g**2 - 7253*g**2. -19*g**2 Collect the terms in -2180*x - 2152*x + 4338*x. 6*x Collect the terms in -5916*q + 25162*q - 6077*q + 19872*q. 33041*q Collect the terms in 5465*g**2 - 5465*g**2 + 190*g**3 + 96*g**3. 286*g**3 Collect the terms in -4458*k**3 - 28*k**2 + 15*k**2 + 13*k**2. -4458*k**3 Collect the terms in 1589*i + 12699*i + 2728*i - 2768*i. 14248*i Collect the terms in 70*l**2 - 141*l**2 + 71*l**2 + 794*l**3. 794*l**3 Collect the terms in 482*s + 17 - 18 + 1 - 484*s. -2*s Collect the terms in -80111*m + 40073*m + 40083*m. 45*m Collect the terms in 3*i**3 - i**3 - 8*i**3 + 3*i**3. -3*i**3 Collect the terms in 7 - 29*z**2 + 2*z + 27*z**2 + 214*z**2. 212*z**2 + 2*z + 7 Collect the terms in -33*d - 746*d + 18*d. -761*d Collect the terms in -550*u - 651*u + 1 + 1199*u. -2*u + 1 Collect the terms in 65*s**2 + 101*s**2 + 72*s**2 + 147*s**2. 385*s**2 Collect the terms in -113*v - 92*v + 286*v - 82*v. -v Collect the terms in -93*l**2 + 6 - 270*l**2 - 6 - 1. -363*l**2 - 1 Collect the terms in 29*g + 37*g + 44*g - 193*g. -83*g Collect the terms in 28*q - 3*q + 2 + 65*q. 90*q + 2 Collect the terms in 1807*u**2 - 855*u**3 - 903*u**2 - 904*u**2 + 109*u**3. -746*u**3 Collect the terms in 190*p**2 - 381*p**2 + 187*p**2 + 136*p**2. 132*p**2 Collect the terms in 1 + 1876*k - 1 - 2*k**2 + 0*k**2 - 1900*k. -2*k**2 - 24*k Collect the terms in 21*l + 2 + 1 - 3*l - 21. 18*l - 18 Collect the terms in -147*r - 125*r + 221*r. -51*r Collect the terms in 10941*d - 3654*d - 3650*d - 3645*d. -8*d Collect the terms in 2*b**2 + 1557*b - 1545*b + 17*b**2. 19*b**2 + 12*b Collect the terms in -25*s - 9*s + 99*s. 65*s Collect the terms in 23*u**3 + 4*u**2 - 119*u**3 - 45*u**3. -141*u**3 + 4*u**2 Collect the terms in 26*b**2 - 3*b + 10*b**2 - 97*b**2 - 2*b. -61*b**2 - 5*b Collect the terms in -30 - 68*t + 405*t + 12 + 18. 337*t Collect the terms in 3*g**2 - 62154*g - 5*g**2 + g**2 + 62154*g. -g**2 Collect the terms in 2693*t**2 + 23*t**2 + 1043*t**2. 3759*t**2 Collect the terms in 2*o - 23*o + 3*o + o + 9*o. -8*o Collect the terms in 19 + 11 + 9 - 45 + 4*i + 10. 4*i + 4 Collect the terms in 8 - 14*x - 246*x - 269*x. -529*x + 8 Collect the terms in 155*d + 8 - 8 + 2 - 2. 155*d Collect the terms in 5*p**2 + 743*p + 497*p - 4*p**2 - 2*p**2 - 398*p. -p**2 + 842*p Collect the terms in 2406*j - 3034 + 3034. 2406*j Collect the terms in -119*q**2 - 338922*q - 43*q**2 + 338922*q. -162*q**2 Collect the terms in -648*u - 622*u + 1270*u + 180*u**3. 180*u**3 Collect the terms in 397*w**2 - 1121*w**2 + 329*w**2 + 399*w**2. 4*w**2 Collect the terms in -36098 + 18053 + 4*l**2 + 18045 - 11*l**2. -7*l**2 Collect the terms in -725 - d - 586 - 911. -d - 2222 Collect the terms in -369*i + 179*i + 94*i + 84*i. -12*i Collect the terms in 539*o**2 - 279*o**2 - 298*o**2. -38*o**2 Collect the terms in -3*a**3 + 16533439*a**2 - 16533439*a**2 + 4*a**3. a**3 Collect the terms in 1419*y**2 - 475*y**2 - 460*y**2 - 483*y**2. y**2 Collect the terms in -469*v + 4*v**2 - 9*v**2 + 4*v**2 + 200*v + 269*v. -v**2 Collect the terms in 54 - 54 + 12558*c**2 - 12553*c**2. 5*c**2 Collect the terms in -19 - 641*v + 19 + 4692*v. 4051*v Collect the terms in -43*o**2 + 3 - 5 + 2*o**2 + 7*o**2. -34*o**2 - 2 Collect the terms in 293*x + 269*x - 378*x. 184*x Collect the terms in k + 15 + 3 + 25 + k. 2*k + 43 Collect the terms in -28 - 32 + 60 - 8*r**2 - 9*r**2. -17*r**2 Collect the terms in -15 - 468*d**2 + 15 + 466*d**2. -2*d**2 Collect the terms in -42*x**3 + 19*x**3 - 17*x**3 - 84*x**3. -124*x**3 Collect the terms in 7*k**2 + 154934496*k - 154934496*k. 7*k**2 Collect the terms in 344*j**2 + 3*j + 272*j**2 - 878*j**2 + 329*j**2. 67*j**2 + 3*j Collect the terms in -103 + 70 - x - 119 - 54. -x - 206 Collect the terms in -146 + 69 - 4*i - 7*i**2 + 76 + 4*i. -7*i**2 - 1 Collect the terms in 6859 - 48*j + 6858 - 13717. -48*j Collect the terms in 746033*c**2 - 94*c**3 - 746033*c**2. -94*c**3 Collect the terms in -5171 + 4*j**3 + 2573 + 2598. 4*j**3 Collect the terms in 65077*b - 65077*b - 5*b**3. -5*b**3 Collect the terms in -4 + 259*i + 321*i + 5 - 390*i. 190*i + 1 Collect the terms in -139*x**3 - 5 - 472*x**3 + 5. -611*x**3 Collect the terms in 68*z**2 - 13914 + 13913 + 4*z**2 + 491*z**2. 563*z**2 - 1 Collect the terms in 3560*z**3 + 15*z + 738*z**3 - 15*z. 4298*z**3 Collect the terms in -515*h**2 + 833*h**2 - 442*h**2. -124*h**2 Collect the terms in -37111 + 106*k**2 + 18556 + 18555. 106*k**2 Collect the terms in -254880 - 6*q**2 + 254880. -6*q**2 Collect the terms in 1205 - 1205 + 15411*p + 15505*p. 30916*p Collect the terms in -351*z**2 - 174*z**2 - 109*z**2 - 356*z**2. -990*z**2 Collect the terms in -5 - 27 - 4 + k**3 - 2*k**3 - k. -k**3 - k - 36 Collect the terms in -2276*d**3 + 1652*d**3 - 3546*d**3 - 2235*d**3. -6405*d**3 Collect the terms in 239*m + 334 + 229*m - 467*m. m + 334 Collect the terms in -516*p**3 + 54*p**3 - 106*p**3. -568*p**3 Collect the terms in 2967*t**2 - 1030*t**2 - 786*t**2. 1151*t**2 Collect the terms in 298*q**3 - 3*q + 41928*q**3 - 83*q**3. 42143*q**3 - 3*q Collect the terms in -10*h - 6*h + 29*h - 14*h + 263*h**2. 263*h**2 - h Collect the terms in 5748*s + 12*s**2 - 5748*s - 23*s**2. -11*s**2 Collect the terms in -89*y**2 + 28*y**2 + 40*y**2 + 36*y**2 - 11. 15*y**2 - 11 Collect the terms in 693*j**3 - 1031*j**3 + 893*j**3 + 2211*j**3. 2766*j**3 Collect the terms in -99361*q**2 - 24490*q**2 - 36142*q**2. -159993*q**2 Collect the terms in -15321*t - 2165*t - 8200*t. -25686*t Collect the terms in -5*t - 6*t**3 - 2*t + 5*t**3 + 4*t. -t**3 - 3*t Collect the terms in 48*g**3 - 77*g**3 + 4*g**3. -25*g**3 Collect the terms in 1735*r + 2124*r - 373*r. 3486*r Collect the terms in -13 + 34 - 21 - u**2 + 5*u. -u**2 + 5*u Collect the terms in -1218*y**3 - 1197*y**3 - 1199*y**3 + 3611*y**3. -3*y**3 Collect the terms in 525*n**3 - 1178*n**3 - n - 2037*n**3. -2690*n**3 - n Collect the terms in 541*a**3 - 1051*a**3 + 557*a**3. 47*a**3 Collect the terms in 6*m**3 - 2*m - 3*m**3 + 3 + 3*m**3 - 15. 6*m**3 - 2*m - 12 Collect the terms in 8 + 166948*l - 8. 166948*l Collect the terms in -5*d**2 + 13*d - d**2 + 25*d**2. 19*d**2 + 13*d Collect the terms in -303*d + 862*d - 313*d - 289*d. -43*d Collect the terms in 875*w**3 - 45 - 449*w**3 - 433*w**3 + 45. -7*w**3 Collect the terms in 105 - 2566*z + 76*z**2 - 105 - 73*z**2 + 2566*z. 3*z**2 Collect the terms in -24*r - 25*r + 64*r - 4*r**3 - 15*r. -4*r**3 Collect the terms in 1 + 1 + 2*q - 1465*q**2 - 4413*q**2. -5878*q**2 + 2*q + 2 Collect the terms in 586*g - 291*g + 4*g**3 - 320*g. 4*g**3 - 25*g Collect the terms in -2*j - 12*j - 8*j - 6*j + 13*j. -15*j Collect the terms in -69*a + 111*a - 71*a. -29*a Collect the terms in -1 + 5 + w**3 - 13*w**3 - 4. -12*w**3 Collect the terms in -332*g**2 - 14*g**3 + 7*g**3 + 326*g**2. -7*g**3 - 6*g**2 Collect the terms in 96838836073 - 96838836073 - 17*u. -17*u Collect the terms in 74221360889*i - 74221360889*i - i**2. -i**2 Collect the terms in 80*x**3 + 23*x**3 - 130*x**3 + 17*x**3. -10*x**3 Collect the terms in 3692 - 3692 - 3*t + 2*t. -t Collect the terms in 2*t + 39 - 32 - 25. 2*t - 18 Collect the terms in 16*s**2 + 1 + 5081*s - 4*s**2 - 10*s**2. 2*s**2 + 5081*s + 1 Collect the terms in 47*u**2 - 481*u + 481*u. 47*u**2 Collect the terms in 15 - 662 - 352 + n. n - 999 Collect the terms in -22*q**2 + 101*q**2 - 14*q**2 - 43*q**2 - 19*q**2. 3*q**2 Collect the terms in 16*d + 40*d + 19*d - 10*d - 8*d. 57*d Collect the terms in 286*f**3 + 224*f**3 + 33*f - 74*f**3 - 33*f. 436*f**3 Collect the terms in -3 - 50492*d**3 + 50478*d**3 + 3. -14*d**3 Collect the terms in 321 + 14*o - 14*o + o**3. o**3 + 321 Collect the terms in 167 - 499 + 163 + 2066*o**3 + 169. 2066*o**3 Collect the terms in 1445*c**2 + 1448*c**2 - 4323*c**2 + 1432*c**2. 2*c**2 Collect the terms in -578*j**3 + 1546*j**3 + 867*j**3. 1835*j**3 Collect the terms in -100*r**2
{ "pile_set_name": "DM Mathematics" }
biggest value in g, -3, l? -3 Suppose 0 = q + 2*q - 3, -10 = 4*l + 2*q. Let m(i) = -2*i**2 - 5*i - 2. Let w be m(l). Which is the smallest value? (a) 4 (b) -3 (c) w c Let k = -2.7 - 0.3. Let h = 0.1 + 0. Which is the smallest value? (a) k (b) h (c) 0.5 a Let a = 0.054 - 2.054. What is the smallest value in -3, a, -1, -2/17? -3 Suppose -6*p - 8 = 10. What is the second biggest value in 4/5, -4, p, 5? 4/5 Let w = -1 + 1. Let u be -1*(2 - 2) - 2. Let t(v) = -v**2 - 5*v + 3. Let o be t(-6). Which is the third biggest value? (a) u (b) o (c) w b Let p = -0.023 - 0.057. What is the third smallest value in -0.1, -3/7, p? p Let h = -45 + 28. Let p be 1 + (87/h - -4). Which is the third biggest value? (a) -1 (b) p (c) -4 c Let a(u) = -5*u**2 + 1. Let l be a(1). Let o = -2 - l. Suppose 0 = k + o*k + 9. What is the smallest value in 3, k, -1? k Let p = -9.33 + 9.3. Which is the third biggest value? (a) -0.4 (b) 2 (c) -1 (d) p a Let z be (-6)/(-40)*2/3. Which is the second biggest value? (a) -4 (b) z (c) 2/11 b Let m = 0 - 1. Let k be 0 - 1 - 3/(-9). Which is the biggest value? (a) m (b) k (c) -2/11 c Suppose 5*i + 0*q - 3*q = 2, 4*i + 5*q + 28 = 0. Let t = -3.5 - 1.5. Let w be (5/(-20))/(6/40). Which is the third smallest value? (a) w (b) t (c) i a Let p = 22.9 - 23. What is the smallest value in p, -8, -1/4? -8 Let u = -0.35 + 0.15. Which is the third smallest value? (a) -0.06 (b) u (c) 5 c Let g = 34.7 + -35. Which is the biggest value? (a) 4/3 (b) 5 (c) g (d) 7 d Let s(n) = -n + 8. Let p be s(6). Suppose -z - 15 = p*z. Which is the second smallest value? (a) 4 (b) z (c) -2/7 c Let u = 1.1 - 0.9. Let t = 2.5 + 0.5. Let z = -8 + t. Which is the smallest value? (a) u (b) 4 (c) z c Let c = 4 - 3.7. Let w be (5/10)/(1/12). Let n = w - 3. What is the third biggest value in c, 5, n? c Suppose 0 = -4*y - k + 25, 3*y - 2*k + 3*k - 20 = 0. Let n = -14 - -9. What is the third biggest value in n, y, 0.4? n Let s be (6/(-5))/((-2)/(-5)). Let j be s/2*(-64)/12. Suppose z + 4 + j = 4*n, -n + 6 = -z. What is the third biggest value in -5, n, 1? -5 Let k = 12 + -7. Let q = -4 + k. Which is the second smallest value? (a) 3 (b) 0 (c) q c Suppose -4*h = -4*r - r + 24, -3*h = 3. Suppose 4 = -6*f + r*f. What is the third smallest value in -10, f, -4/7? -4/7 Let f be (-2)/2 - (-18)/14. Let o = -0.3 + 0.25. Let d = 0.25 - o. Which is the second smallest value? (a) d (b) f (c) 0 b Let m = -31 + 153/5. What is the smallest value in -4, -0.2, -6, m? -6 Let q be (-3)/((-9)/6) - 23. Let u = q - -13. Let j be 2/(-8) + 14/u. Which is the second biggest value? (a) -2/13 (b) j (c) 0.5 a Let z = 10 + -9.6. Which is the second smallest value? (a) -3 (b) 3 (c) z c Let o(d) = -3*d + 6. Let f be o(-6). Let h = f + -118/5. Let v = -307 - -302. Which is the biggest value? (a) v (b) h (c) -4 b Let t be (-5)/15 - (-964)/30. Let r = t + -32. What is the second biggest value in 3, r, 0? 0 Let z be 2/5 - 48/(-5). Let j = z - 4. Suppose 2*w + 16 = j*w. Which is the smallest value? (a) -0.2 (b) w (c) 2 a Let x be 3/8*(-2)/3. Let y = -29 - -32. Which is the second biggest value? (a) x (b) 5/3 (c) y b Let x = -0.0099 - 0.2901. Let v = 3 - 1. What is the third biggest value in v, 0.4, x? x Let v = 0.6 + -0.65. Which is the second biggest value? (a) 0 (b) v (c) 2/3 (d) 0.1 d Suppose 4*d - 20 = -2*v - 0*v, -d = v - 8. Suppose -i + 17 = 5*c, -3*i - 3*c - 3 = -v*c. Let m be i/14*(5 + -3). What is the smallest value in m, -5, 1? -5 Let d = -75.2 - -75. Let a be 1/2 + (-2)/(-12). What is the biggest value in a, d, 0.1? a Let s = -0.7 + -1.3. What is the third smallest value in -0.3, -0.5, s? -0.3 Let y = 6 + -8. Let k be (y/(-6))/((-12)/(-18)). What is the third biggest value in k, 3/4, -0.5? -0.5 Let d = -3 - 1. Let r = d - -4.04. Let w = r + -3.04. Which is the second biggest value? (a) w (b) -5 (c) 3 a Suppose -2*r + 0*r = -14. Suppose 4*a - 19 + r = 0. What is the biggest value in -5, a, 4? 4 Let k = 0 + 6. Let p be (5/(-30))/((-8)/k). Let t = 0.03 - -2.97. Which is the second biggest value? (a) t (b) 5 (c) p a Let q be (-36)/15 + 2 + 0. Which is the second biggest value? (a) q (b) 2 (c) 0.1 c Let f = -2.7 - -3. Let h = -0.02 - 0.68. Let c = h - f. What is the second biggest value in c, -2/3, 4? -2/3 Let y(x) = x - 2. Let g be y(-9). Let u be (36/(-10))/(16/(-40)). Let f = u + g. Which is the biggest value? (a) 3 (b) -1 (c) f a Let t be (-6)/(-5)*(-10)/3. What is the second biggest value in 5, 0.07, -0.2, t? 0.07 Let o(u) = u**2 + 9*u + 10. Let x be o(-8). Suppose 0 = 7*s - x*s + 5. What is the biggest value in 2/5, 2/7, s? 2/5 Let g = 0.6 - 0.65. Let l = -1.05 - g. Let f = l - -1.5. Which is the third smallest value? (a) -0.2 (b) -5 (c) f c Let m be (-1)/(-3) + 29/(-69). Let g = -79 - -84. Which is the smallest value? (a) 4 (b) m (c) g b Let x = -0.65 - -0.677. Let s = 4.073 + x. Let c = -4 + s. What is the third biggest value in 5, c, -4? -4 Let s = -52 - -56. Let x = 3 + -2.8. Let k = -2/243 - 152/1215. Which is the biggest value? (a) x (b) k (c) s c Let d = -2/19327 + -1062849/1314236. Let y = -1/17 - d. Let s = -0.01 + -1.99. Which is the third smallest value? (a) -1/4 (b) y (c) s b Let v = -0.968 - 5.122. Let n = v + 0.09. What is the second smallest value in 3, n, -0.5? -0.5 Let o = -2 + -3. Suppose -5*u - 1 - 4 = 0. Let w be (-115)/30 + u/6. Which is the third biggest value? (a) w (b) -0.4 (c) o c Let r(z) = -z**2 + 10*z + 21. Let t be r(12). Let m = 0.1 + -0.5. Which is the third biggest value? (a) t (b) m (c) 0 a Let n be 183/63 + (-6)/2. What is the third smallest value in -5, n, -2/11? n Let g = -1.9 + -0.1. Let z = g + 4. Let o = -2.2 + z. What is the third smallest value in 0, o, -5? 0 Let g = 2/241 + 225/1928. Let q = -0.5 + 0.1. Let u = q - 0.1. What is the smallest value in 1, u, g? u Let d = -83/40 + 15/8. What is the third smallest value in 0.3, d, 1/5? 0.3 Let i = 0.41 - 5.01. Let y = i + 5. What is the third smallest value in 3, -0.1, y? 3 Let s be (1 + 45/(-6))*-2. Let w = s - 6. Suppose 22 = -z + 5*l, 7 = 3*z + l - w. Which is the smallest value? (a) z (b) 1/3 (c) -2/5 c Let r = 133 - 136. Which is the second smallest value? (a) r (b) 2/5 (c) -1.5 (d) 0 c Suppose 4*v + 93 = 5. Let h = v - -26. What is the third biggest value in -1, 3, h? -1 Let r = -0.23 - -0.03. Let u = r + 0.7. Which is the smallest value? (a) -1/7 (b) u (c) 0 a Let h = 7 + -4. Let t = 7 - h. What is the third biggest value in -3/5, t, -3/7? -3/5 Let f be 29 - (-1 + 0) - 0. Let p be 4/f + 0 - 0. Let b = -1.2 + 0.7. What is the second smallest value in -5, p, b? b Suppose -2*i = -i - 4*f + 10, 0 = -4*i + f - 10. Let o = -15 - -15. What is the third smallest value in -1, i, o? o Let j be 22/32*(24 - 20). What is the second biggest value in 0.4, j, 3? j Let g = -2.8 - -1.8. Which is the biggest value? (a) -6 (b) -1/5 (c) g b Let q be ((-2)/5)/((-3)/30). Let l = 0.1 - -0.4. Which is the smallest value? (a) l (b) -0.2 (c) q b Let h = 95.9 + -96. What is the second smallest value in -0.4, -1/3, h, 0.4? -1/3 Let j be (-4)/2*3*6/162. Which is the second smallest value? (a) j (b) 1 (c) -3/5 a Let w = -5777/8 - -727. Let p = 1359354 - 250120223/184. Let v = p - w. Which is the second smallest value? (a) 0.5 (b) v (c) 1/4 c Let u be -1 + 64/22 + (0 - 2). Which is the biggest value? (a) -2 (b) 0 (c) 5 (d) u c Let m be 4/(-2) + 3 + -27. Let u be 15/20 + m/24. Which is the smallest value? (a) -0.5 (b) u (c) -2/9 a Let j = 0.3 - -0.7. Let b = -3.12 + 0.12. Let w = 5 + b. What is the smallest value in j, w, -0.3? -0.3 Let t = 0.2 + 0. Let r = -0.4 + t. Let x = 0.465 - -0.035. Which is the third smallest value? (a) 1/3 (b) x (c) r b Let n be (-7)/(-3) + (-8)/6. Which is the second biggest value? (a) n (b) 2 (c) 0.1 (d) 4/5 a Let l = -3 + 1.4. Let n = -0.4 + l. Let w = 133 - 136. What is the third smallest value in n, w, -0.3? -0.3 Let m = 0.79 - 1.09. Which is the second smallest value? (a) 0.1 (b) m (c) 0 c Let h = 182 - 184. What is the second smallest value in -9, h, -2/3? h Suppose -3*v + 0 - 5 = 5*j, 0 = -j - 4. Suppose -81 = -v*w - 6. Suppose s - w = -2*s. What is the second biggest value
{ "pile_set_name": "DM Mathematics" }
0111221 Convert 4db9 (base 16) to base 9. 30257 1001101001111000 (base 2) to base 13 14ccb What is -130012 (base 4) in base 8? -3406 What is -2181 (base 14) in base 16? -16a5 What is 36a1 (base 14) in base 8? 22515 What is 36599 (base 10) in base 6? 441235 -111010001111 (base 2) to base 3 -12010001 What is -23231 (base 4) in base 16? -2ed What is -12a0 (base 11) in base 14? -883 Convert -2130332 (base 4) to base 10. -10046 Convert -1202021111 (base 3) to base 4. -20122201 Convert -1323b (base 13) to base 9. -53668 Convert 136 (base 7) to base 9. 84 Convert -15547 (base 8) to base 9. -10554 16 (base 10) to base 2 10000 -111f (base 16) to base 4 -1010133 What is -21002221 (base 3) in base 5? -131212 Convert 211200101 (base 3) to base 7. 66130 -341110 (base 5) to base 3 -121111120 26a0 (base 12) to base 2 1000101011000 -492 (base 16) to base 12 -816 151 (base 9) to base 10 127 Convert -12705 (base 10) to base 8. -30641 Convert -3214 (base 5) to base 6. -2002 What is -11303 (base 4) in base 6? -1415 2a63 (base 13) to base 11 46a5 Convert 3b51 (base 13) to base 9. 12612 What is 12312020 (base 4) in base 14? a30c What is -14c5d (base 14) in base 7? -304046 What is -bb (base 12) in base 9? -168 What is -3018 (base 12) in base 3? -21010202 What is 117 (base 14) in base 11? 188 Convert -4342 (base 5) to base 12. -419 Convert -507 (base 14) to base 4. -33123 17981 (base 11) to base 3 1021110222 What is -e8d (base 15) in base 6? -23111 What is 220344 (base 6) in base 2? 100011101101000 What is -2105 (base 12) in base 16? -e15 Convert -1ff (base 16) to base 3. -200221 Convert -3053 (base 10) to base 7. -11621 What is 51b (base 13) in base 4? 31211 -2455 (base 7) to base 6 -4134 What is -1646 (base 7) in base 6? -3035 10133 (base 10) to base 16 2795 4b3 (base 12) to base 3 222100 3102 (base 4) to base 14 110 Convert 511112 (base 6) to base 8. 116764 2e0 (base 16) to base 12 514 -34a (base 13) to base 12 -3b5 Convert 18b4 (base 13) to base 7. 13530 Convert -10018 (base 12) to base 4. -11010110 -649 (base 11) to base 16 -30b -8c2 (base 16) to base 8 -4302 What is -4463 (base 8) in base 16? -933 -172 (base 14) to base 13 -19a What is 5567 (base 8) in base 15? d0a What is -1201202 (base 3) in base 6? -5502 4441 (base 6) to base 3 1102021 Convert 1ec (base 15) to base 13. 285 What is 101212 (base 6) in base 8? 17610 What is -1051 (base 7) in base 3? -112001 921 (base 14) to base 11 1390 Convert -6936 (base 11) to base 10. -9114 -252 (base 11) to base 10 -299 1107 (base 8) to base 11 490 What is -13521 (base 6) in base 2? -100001011001 Convert -11544 (base 10) to base 15. -3649 What is 62744 (base 9) in base 3? 2002211111 23c95 (base 13) to base 12 32147 81 (base 16) to base 8 201 Convert -21a6 (base 12) to base 9. -5100 Convert -214004 (base 6) to base 11. -12346 47331 (base 8) to base 16 4ed9 27d (base 14) to base 6 2155 14a (base 13) to base 5 1411 What is 14245 (base 6) in base 4? 203111 What is -101020 (base 3) in base 6? -1140 Convert -28021 (base 9) to base 7. -106213 What is 514 (base 6) in base 2? 10111110 -40444 (base 5) to base 9 -3535 Convert 12112 (base 5) to base 8. 1613 Convert 466a (base 12) to base 9. 11701 Convert 13140 (base 5) to base 16. 415 -6731 (base 15) to base 11 -15483 What is -13b2 (base 13) in base 2? -101100100001 Convert 420 (base 10) to base 9. 516 3abc (base 16) to base 11 1032a -174 (base 14) to base 8 -452 101110100000 (base 2) to base 12 1880 -317 (base 16) to base 4 -30113 What is -88778 (base 9) in base 7? -333614 What is 226 (base 13) in base 5? 2440 Convert -284 (base 9) to base 6. -1034 What is 1451 (base 10) in base 12? a0b Convert -26212 (base 10) to base 9. -38854 1002122 (base 3) to base 5 11200 What is 5b55 (base 15) in base 10? 19430 What is 2cd (base 14) in base 13? 351 -136705 (base 8) to base 15 -e5db 15021 (base 12) to base 15 8aa1 Convert -fa (base 16) to base 3. -100021 -1101010011010100 (base 2) to base 11 -37a31 -1011001000101011 (base 2) to base 13 -179b7 2a7 (base 16) to base 13 403 -64572 (base 8) to base 3 -1101001002 614 (base 8) to base 7 1104 1012 (base 5) to base 6 340 What is -1971 (base 14) in base 7? -16301 Convert -1288 (base 10) to base 14. -680 -13002 (base 4) to base 11 -37a Convert -33471 (base 10) to base 4. -20022333 -1012020 (base 3) to base 14 -462 -140a1 (base 15) to base 12 -31244 -3332 (base 7) to base 2 -10010101111 What is -11133 (base 6) in base 15? -6e9 What is 8366 (base 9) in base 3? 22102020 What is 22452 (base 11) in base 8? 77345 Convert 332002 (base 4) to base 5. 111340 61000 (base 9) to base 12 1b253 What is 1026b (base 12) in base 6? 241415 What is 274 (base 8) in base 7? 356 Convert -11111110110100 (base 2) to base 16. -3fb4 Convert -1340 (base 7) to base 16. -206 What is -101010100 (base 2) in base 7? -664 Convert 19b7 (base 12) to base 13. 1594 230313 (base 4) to base 6 21143 345261 (base 7) to base 12 2b989 What is -28a (base 15) in base 16? -244 -56aa (base 11) to base 10 -7501 -100100011001 (base 2) to base 12 -1421 What is 110010110001 (base 2) in base 6? 23013 303 (base 4) to base 6 123 Convert -111052 (base 7) to base 5. -1111323 Convert 15110 (base 6) to base 12. 1496 Convert 3cc (base 13) to base 15. 300 33a (base 11) to base 4 12112 What is 22223 (base 4) in base 9? 838 Convert 30011 (base 4) to base 6. 3325 Convert -215627 (base 8) to base 10. -72599 Convert -5106 (base 7) to base 10. -1770 What is -6160 (base 10) in base 4? -1200100 -383 (base 16) to base 3 -1020022 100001111 (base 2) to base 12 1a7 -65a (base 15) to base 2 -10110011011 What is c62 (base 13) in base 11? 1647 Convert -18a1 (base 13) to base 2. -111001100000 Convert -2609 (base 11) to base 8. -6505 -624 (base 12) to base 2 -1101111100 Convert 71337 (base 8) to base 6. 344051 121324 (base 6) to base 13 4b49 -4152 (base 7) to base 16 -5b2 What is -12210020 (base 3) in base 8? -10172 Convert -23aa (base 11) to base 6. -22321 What is -7c6 (base 13) in base 9? -1754 What is -9576 (base 16) in base 10? -38262 What is -192c (base 15) in base 14? -1daa What is 100012 (base 3) in base 16? f8 What is 1456 (base 7) in base 4? 21010 What is 38989 (base 10) in base 12? 1a691 Convert 40a (base 12) to base 11. 493 Convert 4 (base 13) to base 8. 4 Convert 4451 (base 6) to base 10. 1039 What is -91 (base 14) in base 9? -151 What is 1781 (base 14) in base 7? 15221 -31034 (base 11) to base 8 -130353 -24b4 (base 14) to base 2 -1100100011110 What is 3138 (base 10) in base 13? 1575 -1063 (base 13) to base 10 -2278 -c102 (base 15) to base 2 -1001111100010111 What is -11687 (base 12) in base 7? -125212 Convert 3010 (base 7) to base 5. 13121 -a0d (base 16) to base 7 -10334 216 (base 16) to base 11 446 -546 (base 11) to base 10 -655 -63be (base 15) to base 13 -97b5 -3044 (base 5) to base 8 -617 Convert 2301212 (base 4) to base 7. 45065 288 (base 11) to base 13 200 -7cc (base 15) to base 9 -2373 What is -1ec (base 15) in base 5? -3242 What is -205304 (base 6) in base 13? -7810 Convert -13e6 (base 16) to base 12. -2b46 What is -530 (base 9) in base 6? -2000 Convert -d48 (base 16) to base 10. -3400 -331 (base 6) to base 13 -9a Convert -9006 (base 12) to base 9. -23306 Convert -1221022 (base 3) to base 12. -998 What is 4238 (base 16) in base 7? 100265 -97 (base 15) to base 12 -ba Convert e12 (base 15) to base 5. 100132 What is 5ab (base 12) in base 16? 353 Convert -2443 (base 6) to base 13. -375 Convert 18a (base 13) to base 12. 1b7 What is -14e (base 16) in base 5? -2314 Convert -112401 (base 5) to base 9. -5556 What is -16b (base 14) in base 7? -564 Convert -35 (base 11) to base 12. -32 Convert 223156 (base 7) to base 13. 14cc2 -a70 (base 16) to base 2 -101001110000 What is -244 (base 13) in base 12? -28a b3 (base 16) to base 7 344 What is 711 (base 8) in base 11? 386 100322 (base 4) to base 7 3104 11102010 (base 3) to base 9 4363 2260 (base 8) to base 2 10010110000 Convert 9 (base 13) to base 4. 21 a3d (base 14) to base 6 13155 11200 (base 3) to base 7 240 Convert a634 (base 12) to base 16. 4708 What is -2011111 (base 3) in base 16? -62b Convert -754 (base 10) to base 11. -626 What is -3632 (base 8) in base 13? -b69 What is -2222200 (base 3) in base 7? -6231 What is 15619 (base 12) in base 4? 13120311 -701 (base 15)
{ "pile_set_name": "DM Mathematics" }
l: 2, j: 4, z: 3}. 1/45 What is prob of sequence ex when two letters picked without replacement from {e: 2, x: 2, p: 1, h: 1}? 2/15 Calculate prob of sequence wkw when three letters picked without replacement from {w: 3, k: 1, a: 1, f: 1, n: 1}. 1/35 Two letters picked without replacement from ttvchhcwhc. Give prob of sequence ch. 1/10 Calculate prob of sequence kkz when three letters picked without replacement from gkggzgkz. 1/84 Four letters picked without replacement from gememmgpgegpfeepeef. Give prob of sequence pffg. 1/3876 Two letters picked without replacement from {z: 8, c: 2, n: 2}. Give prob of sequence zz. 14/33 Two letters picked without replacement from {e: 7, y: 6, t: 1}. Give prob of sequence ey. 3/13 Calculate prob of sequence pk when two letters picked without replacement from zpkpzpp. 2/21 Calculate prob of sequence lll when three letters picked without replacement from {x: 7, l: 6}. 10/143 Two letters picked without replacement from mtmmmmtmmrmbttmmm. Give prob of sequence mm. 55/136 Two letters picked without replacement from {o: 6, u: 4, t: 5}. What is prob of sequence uo? 4/35 Calculate prob of sequence jjjo when four letters picked without replacement from {j: 3, o: 13}. 1/560 What is prob of sequence aa when two letters picked without replacement from aaa? 1 Three letters picked without replacement from qqaaaqaaaqqq. Give prob of sequence qqa. 3/22 Two letters picked without replacement from {q: 1, l: 12, g: 3, f: 2, k: 1}. Give prob of sequence gf. 1/57 Four letters picked without replacement from {i: 1, k: 2, r: 1}. What is prob of sequence kirk? 1/12 What is prob of sequence rjrj when four letters picked without replacement from rjjrrrrjrrr? 7/165 Two letters picked without replacement from iipujjejujpeijjjjjnp. Give prob of sequence in. 3/380 Four letters picked without replacement from uurbrxubbrxbxbrbuxru. What is prob of sequence rrbu? 5/969 Calculate prob of sequence dvd when three letters picked without replacement from dddvdvd. 4/21 Three letters picked without replacement from {r: 14, b: 5}. Give prob of sequence brr. 455/2907 Two letters picked without replacement from nnnn. What is prob of sequence nn? 1 What is prob of sequence pmm when three letters picked without replacement from pxmpmmppmpxm? 5/66 Calculate prob of sequence vmv when three letters picked without replacement from vrvvkgmfvgfm. 1/55 Two letters picked without replacement from {g: 2, x: 1, t: 4}. Give prob of sequence tt. 2/7 What is prob of sequence oww when three letters picked without replacement from ooowoowooooowowpwoww? 7/95 Four letters picked without replacement from fffnfzalalnaafta. What is prob of sequence lalz? 1/4368 Four letters picked without replacement from llylllylllyyllyylll. What is prob of sequence llly? 143/1292 Calculate prob of sequence aa when two letters picked without replacement from naa. 1/3 What is prob of sequence aaaa when four letters picked without replacement from {a: 5}? 1 What is prob of sequence www when three letters picked without replacement from {u: 1, y: 2, w: 1, o: 2, b: 6}? 0 Calculate prob of sequence fdd when three letters picked without replacement from {w: 9, d: 3, f: 7}. 7/969 Four letters picked without replacement from {w: 2, k: 1, q: 2, m: 1, g: 1, y: 2}. What is prob of sequence ykym? 1/1512 What is prob of sequence jd when two letters picked without replacement from {w: 2, l: 1, m: 1, j: 4, d: 1}? 1/18 Two letters picked without replacement from {n: 1, t: 1, g: 3}. What is prob of sequence gn? 3/20 Calculate prob of sequence dui when three letters picked without replacement from {d: 4, u: 1, i: 1, c: 2}. 1/84 Three letters picked without replacement from {s: 3, n: 5, w: 4}. Give prob of sequence www. 1/55 Two letters picked without replacement from {r: 2, o: 17}. What is prob of sequence rr? 1/171 Two letters picked without replacement from lhhssg. Give prob of sequence lg. 1/30 Three letters picked without replacement from rzhrrrrrohhhrrrh. Give prob of sequence hzh. 1/168 Calculate prob of sequence ppp when three letters picked without replacement from kpkppppkkppkkkpkpkpk. 2/19 Four letters picked without replacement from rttttrtttttt. Give prob of sequence trtt. 4/33 Four letters picked without replacement from rfrfrfr. What is prob of sequence rrff? 3/35 Calculate prob of sequence vcl when three letters picked without replacement from loczvcccccolvll. 8/455 What is prob of sequence vgg when three letters picked without replacement from jnghjnjjngvgjhvjjjj? 2/969 Four letters picked without replacement from iiyiiyiiiyyuu. Give prob of sequence yiuu. 7/2145 What is prob of sequence pk when two letters picked without replacement from {k: 3, p: 7}? 7/30 Calculate prob of sequence aaq when three letters picked without replacement from aqapaaaaaqqpqa. 4/39 Calculate prob of sequence ad when two letters picked without replacement from {h: 6, a: 4, s: 1, d: 2, e: 4}. 1/34 Three letters picked without replacement from cxxccxjnjcx. Give prob of sequence jxc. 16/495 Two letters picked without replacement from {k: 2, x: 2, y: 1, z: 4, v: 1}. What is prob of sequence kk? 1/45 What is prob of sequence bbbb when four letters picked without replacement from {b: 9}? 1 What is prob of sequence gcvc when four letters picked without replacement from {z: 1, c: 4, v: 1, x: 1, g: 2}? 1/126 Three letters picked without replacement from {c: 18, i: 1}. Give prob of sequence cci. 1/19 Three letters picked without replacement from {c: 1, u: 2, d: 1, o: 1}. What is prob of sequence cuu? 1/30 Four letters picked without replacement from xndxn. What is prob of sequence nxxd? 1/30 Calculate prob of sequence pgxf when four letters picked without replacement from ffnpsxffnngxssx. 1/2730 Calculate prob of sequence wwh when three letters picked without replacement from {w: 2, d: 9, h: 6}. 1/340 Two letters picked without replacement from {r: 11, q: 1}. Give prob of sequence qq. 0 Three letters picked without replacement from {b: 4, v: 3, k: 5, e: 1, u: 5, h: 2}. What is prob of sequence hhv? 1/1140 Calculate prob of sequence vj when two letters picked without replacement from jjfjfvcccfcjcfjffvf. 5/171 Calculate prob of sequence hjk when three letters picked without replacement from {k: 2, h: 1, r: 2, j: 1}. 1/60 What is prob of sequence qx when two letters picked without replacement from {q: 1, l: 3, i: 1, z: 3, f: 8, x: 3}? 1/114 What is prob of sequence bbkb when four letters picked without replacement from {b: 4, k: 3}? 3/35 Calculate prob of sequence hh when two letters picked without replacement from {k: 2, h: 3}. 3/10 Two letters picked without replacement from iccicic. Give prob of sequence ci. 2/7 What is prob of sequence af when two letters picked without replacement from {v: 5, n: 7, a: 1, f: 3}? 1/80 Two letters picked without replacement from {m: 4, c: 15}. Give prob of sequence cc. 35/57 Two letters picked without replacement from {b: 1, n: 2, i: 2, r: 8}. What is prob of sequence bn? 1/78 Four letters picked without replacement from ggzjsgszzgsgs. What is prob of sequence gszg? 2/143 Two letters picked without replacement from {n: 1, h: 1, t: 1, m: 1, q: 1}. Give prob of sequence th. 1/20 Calculate prob of sequence wof when three letters picked without replacement from onnfwo. 1/60 Three letters picked without replacement from {u: 2, h: 4, y: 2, a: 1, b: 6}. What is prob of sequence ayy? 1/1365 What is prob of sequence yzpp when four letters picked without replacement from pzppdpddppypdpppp? 11/5712 Calculate prob of sequence pocj when four letters picked without replacement from zupcpccpcjoc. 1/792 Three letters picked without replacement from yii. What is prob of sequence iyi? 1/3 What is prob of sequence dd when two letters picked without replacement from kdwkdwddidhdk? 5/26 Four letters picked without replacement from {t: 7}. Give prob of sequence tttt. 1 Calculate prob of sequence cp when two letters picked without replacement from pppccpppcp. 7/30 Two letters picked without replacement from {i: 1, f: 2, n: 2, g: 2, c: 1}. Give prob of sequence ng. 1/14 Calculate prob of sequence cc when two letters picked without replacement from gcsgjgnjnkcjscng. 1/40 Calculate prob of sequence gng when th
{ "pile_set_name": "DM Mathematics" }
ne quarter of a micrometer? 250 Convert 1570.467mg to grams. 1.570467 Convert 99.3411 centimeters to nanometers. 993411000 How many litres are there in 0.79859ml? 0.00079859 What is ten sevenths of a week in minutes? 14400 What is fourty-one halves of a litre in millilitres? 20500 How many months are there in 92.20117 centuries? 110641.404 What is 21.99392 millilitres in litres? 0.02199392 How many meters are there in 23.77777mm? 0.02377777 Convert 8632.88 centimeters to micrometers. 86328800 How many seconds are there in 4/15 of a day? 23040 How many milligrams are there in sixty-seven quarters of a gram? 16750 Convert 112354.1t to kilograms. 112354100 How many hours are there in nineteen quarters of a week? 798 Convert 17786154.96ns to weeks. 0.000000029408325 How many nanoseconds are there in 156781.6 weeks? 94821511680000000000 How many micrograms are there in 0.497836kg? 497836000 What is 1780.0839 minutes in weeks? 0.176595625 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 22.3634547ms in days? 0.00000025883628125 What is six fifths of a litre in millilitres? 1200 How many months are there in 7/15 of a decade? 56 What is 5.576735 decades in years? 55.76735 How many milligrams are there in 33/5 of a gram? 6600 What is 2.903894ml in litres? 0.002903894 What is 7/2 of a day in hours? 84 How many months are there in 11/2 of a decade? 660 What is 755.1475 centimeters in micrometers? 7551475 What is 1/10 of a tonne in kilograms? 100 How many nanometers are there in 1/5 of a micrometer? 200 What is 7/4 of a litre in millilitres? 1750 Convert 643032.7km to micrometers. 643032700000000 What is three tenths of a litre in millilitres? 300 Convert 0.159194 weeks to hours. 26.744592 Convert 872946.6 litres to millilitres. 872946600 What is 5/8 of a litre in millilitres? 625 Convert 74.45353ns to seconds. 0.00000007445353 How many micrometers are there in 48/5 of a centimeter? 96000 What is fourty-five halves of a tonne in kilograms? 22500 Convert 0.9296092kg to micrograms. 929609200 How many micrometers are there in 0.6323486cm? 6323.486 How many millilitres are there in 7/8 of a litre? 875 Convert 8.401501 grams to kilograms. 0.008401501 Convert 652581.1 weeks to milliseconds. 394681049280000 What is one twentieth of a milligram in nanograms? 50000 What is fourty-five halves of a millimeter in micrometers? 22500 What is seventeen tenths of a millimeter in micrometers? 1700 What is 7977.29 grams in kilograms? 7.97729 What is 50822.22mm in meters? 50.82222 How many years are there in 567883.7 decades? 5678837 How many seconds are there in thirty-one fifths of a minute? 372 What is 986637.5m in nanometers? 986637500000000 What is 17.8953948us in days? 0.000000000207122625 Convert 5.215657 nanograms to milligrams. 0.000005215657 Convert 0.7412764 microseconds to milliseconds. 0.0007412764 How many milliseconds are there in 0.3989174 seconds? 398.9174 What is 985004.1 millimeters in meters? 985.0041 How many seconds are there in 3756.18 nanoseconds? 0.00000375618 What is one twentieth of a gram in micrograms? 50000 What is 72.63913l in millilitres? 72639.13 How many years are there in 8.383661 millennia? 8383.661 How many hours are there in 3.8559249ns? 0.00000000000107109025 What is 0.1795667 millilitres in litres? 0.0001795667 How many nanometers are there in 25/8 of a micrometer? 3125 How many millilitres are there in 1/10 of a litre? 100 How many months are there in 11/4 of a millennium? 33000 What is fourty-six fifths of a millennium in centuries? 92 What is 0.8934887nm in meters? 0.0000000008934887 How many millilitres are there in three eighths of a litre? 375 How many years are there in seventeen quarters of a millennium? 4250 What is twenty-seven fifths of a millennium in centuries? 54 What is three sixteenths of a hour in seconds? 675 How many nanograms are there in 0.8527721 milligrams? 852772.1 How many grams are there in 2/125 of a tonne? 16000 How many grams are there in 91.60344ug? 0.00009160344 How many micrometers are there in 0.4752599m? 475259.9 How many microseconds are there in six fifths of a millisecond? 1200 What is eighteen fifths of a meter in centimeters? 360 How many grams are there in 3/40 of a tonne? 75000 Convert 22874.63 nanograms to kilograms. 0.00000002287463 How many milligrams are there in 59/5 of a gram? 11800 What is 14380.317ns in hours? 0.0000000039945325 What is 1/20 of a meter in micrometers? 50000 What is 51.94764 microseconds in hours? 0.0000000144299 How many minutes are there in 10/21 of a week? 4800 How many millilitres are there in 0.8383193l? 838.3193 Convert 30.70101 millilitres to litres. 0.03070101 What is 27/4 of a centimeter in micrometers? 67500 What is 0.2514049 litres in millilitres? 251.4049 What is 2113.5531 nanoseconds in minutes? 0.000000035225885 What is 1/20 of a tonne in grams? 50000 What is seven sixths of a hour in minutes? 70 What is 7/8 of a century in months? 1050 Convert 57636.62 kilograms to nanograms. 57636620000000000 Convert 5776.061 years to decades. 577.6061 How many litres are there in 922.9421 millilitres? 0.9229421 How many seconds are there in 2/21 of a week? 57600 What is 29/5 of a meter in millimeters? 5800 What is 0.4430783 nanometers in meters? 0.0000000004430783 Convert 21053.38 centimeters to nanometers. 210533800000 How many millilitres are there in eleven halves of a litre? 5500 What is 3.981513 micrograms in grams? 0.000003981513 How many weeks are there in 1030.453893 milliseconds? 0.0000017037928125 How many micrometers are there in 7/2 of a millimeter? 3500 What is 31148.18l in millilitres? 31148180 What is 564.542 years in millennia? 0.564542 How many years are there in fourty-three quarters of a millennium? 10750 How many litres are there in 521033.6ml? 521.0336 Convert 7.15987 millennia to centuries. 71.5987 What is 27/5 of a kilometer in meters? 5400 What is 21/4 of a century in years? 525 Convert 2137.277ml to litres. 2.137277 How many millilitres are there in 6/5 of a litre? 1200 What is three sixteenths of a century in months? 225 What is 5.925874 hours in milliseconds? 21333146.4 What is 85.00895 centuries in years? 8500.895 Convert 85.32406 tonnes to grams. 85324060 How many kilograms are there in 5/4 of a tonne? 1250 How many grams are there in one fifth of a kilogram? 200 How many centuries are there in twenty-seven halves of a millennium? 135 How many grams are there in 3.18173 milligrams? 0.00318173 What is seventeen quarters of a microgram in nanograms? 4250 How many nanometers are there in 6090.25 meters? 6090250000000 Convert 0.2699935l to millilitres. 269.9935 How many milligrams are there in 1/5 of a gram? 200 What is 4722.426 milligrams in nanograms? 4722426000 How many kilometers are there in 55.70415 millimeters? 0.00005570415 What is 312.4612ng in grams? 0.0000003124612 What is 18593.7201 nanoseconds in days? 0.00000000021520509375 How many millilitres are there in one fifth of a litre? 200 Convert 156.8801 litres to millilitres. 156880.1 How many litres are there in 0.459476ml? 0.000459476 Convert 1061.20329 hours to weeks. 6.31668625 How many decades are there in 6.05826 years? 0.605826 How many months are there in one sixth of a millennium? 2000 Convert 50.59442cm to meters. 0.5059442 What is 0.9068922 kilograms in micrograms? 906892200 How many litres are there in 878.4139 millilitres? 0.8784139 Convert 569.347 minutes to milliseconds. 34160820 How many centimeters are there in five eighths of a kilometer? 62500 How many millilitres are there in 27/5 of a litre? 5400 What is 49.06913 tonnes in kilograms? 49069.13 What is 75978.1 millilitres in litres? 75.9781 What is 1.292512 tonnes in grams? 1292512 What is seven quarters of a day in minutes? 2520 What is 13/8 of a tonne in kilograms? 1625 How many micrometers are there in 3/32 of a meter? 93750 What is thirteen quarters of a millimeter in micrometers? 3250 What is 31/2 of a litre in millilitres? 15500 What is 13/8 of a millennium in years? 1625 Convert 784.5505 nanoseconds to seconds. 0.0000007845505 How many millimeters are there in 11/8 of a meter? 1375 How many millimeters are there in one tenth of a kilometer? 100000 What is 29/5 of a gram in mill
{ "pile_set_name": "DM Mathematics" }
-1)/(5 + -6). What is the remainder when p(u) is divided by 16? 13 Suppose 0 = -2*l - 5*b - 55, -2*l + 0*b - 2*b = 64. Let k = l - -92. Suppose 53 = 4*o - 7. Calculate the remainder when k is divided by o. 12 Let t = 43 - 34. What is the remainder when 39 is divided by t? 3 Let m(o) = -o**3 + 5*o**2 - o - 2. Calculate the remainder when (-272)/85*(-30)/4 is divided by m(3). 11 Let y = 0 - -36. Calculate the remainder when y is divided by 13. 10 Let w = 9 - 0. Let s = -6 + 9. What is the remainder when s + (11 - -3 - 0) is divided by w? 8 Let a = 0 + 1. Suppose -12 = -5*b - 7. Calculate the remainder when b is divided by a. 0 Suppose -252 = -2*m - 5*m. Calculate the remainder when 104 is divided by m. 32 Let o = 24 - -12. Calculate the remainder when o is divided by 13. 10 Let z be 8/(-28) - (-4)/14. Suppose z = 4*j - j - 48. Calculate the remainder when j is divided by 9. 7 Suppose x = -2*x - 6. Let t = x - -16. Calculate the remainder when 25 is divided by t. 11 Let k(w) be the second derivative of -w**3/2 + 3*w**2/2 + w. What is the remainder when k(-4) is divided by 4? 3 Let z = -55 - -79. Let l(m) = -12*m + 1. Calculate the remainder when z is divided by l(-1). 11 Suppose -g + 3*t - 23 = 0, 0*t - 108 = 4*g - 4*t. Let j = -14 - g. Calculate the remainder when j is divided by 8. 7 What is the remainder when ((-52)/(-5))/(2/5) is divided by 14? 12 Suppose -3*b + 39 = -0*b. Let l = 43 - b. What is the remainder when l is divided by 16? 14 Suppose 10 = -i + 5*j, -2*i - 2*j = -3*i - 1. Suppose l + 6 = 4*p + p, i*p = 2*l + 2. Calculate the remainder when (16/12)/((-2)/(-9)) is divided by l. 2 Let i = -34 + 45. Calculate the remainder when ((-8)/(-10))/((-4)/(-100)) is divided by i. 9 Calculate the remainder when 22 is divided by (4 + -5 - 5)*-1. 4 Let g = 9 - 7. Calculate the remainder when 22 is divided by (1 - g)/((-1)/8). 6 Let c(i) = -i + 26. What is the remainder when c(17) is divided by 4? 1 Let s = -48 + 68. What is the remainder when s is divided by 6? 2 Suppose -4 = -g + 2. Suppose 5*m - g = 64. What is the remainder when m is divided by 5? 4 Suppose -4 = -4*h + 3*w + 2, h = 5*w - 7. Suppose 0 = -3*p + 2*l + h, 0*l + l - 3 = 0. Suppose -p*a + 17 = -58. What is the remainder when a is divided by 13? 12 Calculate the remainder when 39 is divided by (2/(-6))/((-2)/60). 9 Suppose -147 = -z - 2*z. Suppose -5*w = -z - 16. Calculate the remainder when w is divided by 2*-1 + (6 - -3). 6 Let n be 18 + -3 + (-1 - 1). Let f = n - 2. Calculate the remainder when 21 is divided by f. 10 Let z = 56 - 48. Let r(u) = 31*u**3 - u**2. What is the remainder when r(1) is divided by z? 6 Calculate the remainder when 101 is divided by (-176)/(-5) + (-76)/(-20) + -4. 31 Let c = 36 - 18. Suppose l - c = 8. Let r = l + -12. What is the remainder when 25 is divided by r? 11 Let k(p) = -p**2 - 8*p + 6. Let o be k(-9). Let q = -1 - o. Suppose -3*n + 12 = -0*n. Calculate the remainder when n is divided by q. 0 Let j = -11 + 13. Let i(s) = s - 2*s + 0*s. What is the remainder when i(-4) is divided by j? 0 Suppose -5*s + 35 = 2*a, -s = -3*a - 0*a + 10. Calculate the remainder when 17 is divided by a. 2 Calculate the remainder when 4/14*1 - (-8024)/238 is divided by 12. 10 Let z be (-1)/(2 + 123/(-61)). Let k = z + -14. Calculate the remainder when k is divided by 12. 11 Suppose 0 = -3*d - 4*c + 8*c - 4, -c = 5*d + 22. Let l = d - -3. What is the remainder when 3 is divided by -2 - (0 + -5 - l)? 1 Suppose 2*d + 0*d = 24. Calculate the remainder when 33 is divided by d. 9 Calculate the remainder when (-1)/5 - 352/(-10) is divided by 12. 11 Let t = -103 + 121. Calculate the remainder when 52 is divided by t. 16 Let z(c) be the first derivative of -19*c**2/2 - c + 3. Calculate the remainder when 34 is divided by z(-1). 16 Let f be (4/(-1))/1 + 0. What is the remainder when (-358)/(-5) + f/(-10) is divided by 15? 12 Calculate the remainder when 348/15*(-10)/(-4) is divided by 15. 13 Let p = -1 + 8. What is the remainder when 18/90 + 99/5 is divided by p? 6 Suppose -2*a = a - 51. Suppose 2*d = 3*d - 6. Calculate the remainder when a is divided by d. 5 Let f = 5 - -3. Let u = 74 + -52. Calculate the remainder when u is divided by f. 6 Let s = 119 + -72. Suppose 4*w - 2 = 6. What is the remainder when s is divided by (-2 - w)/(2/(-8))? 15 Let q be (-4)/8 + 3/(-2). What is the remainder when 616/18 + 6/(-27) is divided by (1/q)/(1/(-24))? 10 Suppose -3*f + 5*d = -19, f - 5*f + 5*d + 22 = 0. Suppose -2 = 2*h + 3*r + 2, f*h + 5*r + 8 = 0. What is the remainder when (-4)/((-32)/70)*h is divided by 12? 11 Let x(z) = -z**3 - 3*z**2 + 8*z + 4. What is the remainder when x(-5) is divided by ((-4)/2)/((-3)/12)? 6 Let o(f) = -f**2 + 13*f - 7. What is the remainder when 13 is divided by o(12)? 3 Suppose 4*c - c = 12. Calculate the remainder when 16 is divided by c*-1 + 2 + 11. 7 Calculate the remainder when (-4)/(-16) + (406/8 - 2) is divided by 25/(1*(-2)/(-2)). 24 Let i(u) = 22*u + 5. Let w(n) = 21*n + 4. Let s(g) = 4*i(g) - 5*w(g). What is the remainder when 50 is divided by s(-1)? 16 Let l be ((-10)/(-6))/((-5)/15). Let h(q) = -5*q + 3. Let j be h(l). Suppose -2*z = 8, -j = -7*b + 3*b - 3*z. Calculate the remainder when b is divided by 6. 4 Let w be 28/6 - 4/6. Let n be (-5)/(-15) - (-14)/3. Let v = n + w. What is the remainder when v is divided by 5? 4 Suppose -2*u + 2 = -v, -2*v + 12 = 2*u + 2*u. Suppose 0 = -z - 0*z. Suppose z = r - 0*r - 5. Calculate the remainder when r is divided by u. 1 Let y = -2 - -8. Let n(i) = 9*i - 14. Calculate the remainder when n(y) is divided by 14. 12 Suppose 5*k - k + 10 = 2*t, -3*k - 3 = 0. Suppose 0 = -0*v - t*v + 30. What is the remainder when 18 is divided by (0 + (-2)/(-2))*v? 8 Let z(d) = 6*d + 17. Let n(m) = 3*m + 8. Let p(a) = 9*n(a) - 4*z(a). What is the remainder when 47 is divided by p(4)? 15 Let d(c) be the first derivative of -c**4/4 + c**3 + c**2 + 3*c + 1. Let m = 32 - 29. Calculate the remainder when d(m) is divided by 5. 4 Suppose 0*z - f = -3*z + 74, 3*f - 66 = -3*z. Calculate the remainder when 95 is divided by z. 23 Let m(i) = -i - 4. What is the remainder when m(-7) is divided by 2? 1 Let n = -8 - -8. Suppose -2*z = -n*z - 22. What is the remainder when 32 is divided by z? 10 Let t(r) = -r**2 - 5*r + 5. Let n = -13 - -21. Suppose 0*a + 4*c = -2*a + n, a + 5*c - 7 = 0. What is the remainder when t(-5) is divided by a? 1 Let g be 9/(-12) + (-20)/16. Calculate the remainder when 2/(-3)*237/g is divided by 20. 19 Suppose 2*y - 4*r = 30, 2*y - 57 = -5*r - 0. Let s = 34 - y. What is the remainder when 49 is divided by s? 10 Let s(m) = -6*m - 6. Let d(n) = n**2 + 3*n - 3. Let l be d(-4). What is the remainder when s(-4) is divided by (l - 6)/((-7)/7)? 3 Let q = -5 + 10. What is the remainder when (68/20)/((-3)/(-15)) is divided by q? 2 Let y(j) = j**3 - 5*j**2 - 8*j - 3. Let t be y(6). Let c = t + 37. Let q = -97 - -109. Calculate the remainder when c is divided by q. 10 Let g = -68 - -99. Let o = g - 10. Suppose 2*v = o + 3. Calculate the remainder when 23 is divided by v. 11 Suppose -3*l = 3*u - 5*u - 25, 3*l + 3*u = 15. What is the remainder when 20 is divided by l? 6 Suppose -4*d - i = -4*i + 14, -3*d = -5*i + 16. What is the remainder when 13 is divided by -2 - (d + -2) - -3? 3 Let g be 100/3*(-4 + 7). Suppose -3*k + 138 = 3*w, 3*k + g = 2*w + k. Suppose 2*s - w = -s. Calculate the remainder when s is divided by 9. 7 Let z(w) = w**3 - 9*w**2 - 11*w + 1. Let s be z(10). Let u = s + 56. What is the remainder when u is divided by 24? 23 Let g = -64 - -153. Suppose 0 = -2*m + 39 + 7. Calculate the remainder when g is divided by m. 20 Suppose 23*q - 6*q = 2380. What is the remainder when q is divided by 48? 44 Suppose 0 = -5*d + 2 + 3. Let q = 1 + 3. Calculate the remainder when q/10 - 3/(-5) is divided by d. 0 Suppose x = -2, -6*i + 7*i + 5*x - 20 = 0. Suppose 3*w + 3 = 0, 5*w - 27 = -5*m + m. What is the remainder when i is divided by m? 6 Suppose -8*t - 24 = -144. What is the remainder when ((-56)/(-10))/(1/5) is divided by t? 13 Let j be (-1)/(-3) + (-208)/(-6). Let u be 217/14 - (-1)/2. Let l = j - u. Calculate the remainder when l is divided by 7. 5 Suppose 4*z = 3*v - 16, 5*z + 5*v - 18 + 3 = 0. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
u**5 + u**2 + u - 1. Let w(m) = -l(m) - 3*r(m). Solve w(p) = 0 for p. -5, -1, 1/3, 1 Let m(x) = x**3 + 3*x**2 - x - 3. Let v be m(-3). Let k = v + 4. Factor -2*t**4 + 0*t**k + 3*t**4 - t**3. t**3*(t - 1) Let t(h) = -3 + 3 - h**3 + 0 - h**2. Let y(q) = -25*q**3 - 35*q**2 - 25*q - 15. Let x(n) = 30*t(n) - y(n). Factor x(g). -5*(g - 3)*(g + 1)**2 Let r(a) be the second derivative of -a**4/12 - 3*a**3/2 - 7*a**2 + 2*a - 38. Factor r(z). -(z + 2)*(z + 7) Let w = -238 - -223. Let c(v) = -2*v**2 - 27*v + 47. Let a be c(w). Factor 1/2*s + 1/2*s**5 + 1/2 - s**a + 1/2*s**4 - s**3. (s - 1)**2*(s + 1)**3/2 Factor -15*w**2 + 36*w**3 - 6*w**3 - 50*w - 7*w**4 + 10*w**4 - 3*w**4 - 5*w**4. -5*w*(w - 5)*(w - 2)*(w + 1) Let z = -5917/4 + 1480. Solve 1/4*u**2 - 1 - z*u = 0. -1, 4 Let y = 3/31 - -23/1364. Let l = 43/396 + y. Factor l + 4/9*k + 2/9*k**2. 2*(k + 1)**2/9 Let z(k) = -3*k**2 + 9*k - 10. Let p(o) be the third derivative of -o**5/60 - o**3/6 + 22*o**2 - o. Let f(r) = 2*p(r) - z(r). What is q in f(q) = 0? 1, 8 Let d(h) be the third derivative of 2*h - 23/180*h**5 - 4/9*h**4 + 0 - 1/120*h**6 - 2/3*h**3 + 2*h**2. Factor d(p). -(p + 1)*(p + 6)*(3*p + 2)/3 Factor 10/3*c**3 + 35/9*c - 5/9*c**4 - 1/9*c**5 - 50/9*c**2 - 1. -(c - 1)**4*(c + 9)/9 Let a(v) = v**5 - v**4 + v**3 - 1. Let n be 207/(-36) - 1/4. Let r(g) = -11*g**5 + 21*g**4 - 21*g**3 + 5*g**2 + 6. Let m(d) = n*a(d) - r(d). Factor m(s). 5*s**2*(s - 1)**3 Solve 9*p + 19 - 1/4*p**2 = 0. -2, 38 Let v = 247/1020 + 2/255. Let w(z) be the second derivative of v*z**2 + 0 - 1/24*z**4 + 1/12*z**3 - 6*z - 1/40*z**5. What is t in w(t) = 0? -1, 1 Suppose -60 = -2*p + 2*u, -2*u - u = -p + 30. Solve -5*l**3 - 9*l**2 - 16 - 54*l + 4*l**3 + p*l = 0 for l. -4, -1 Let o be 8/(-60) + 64/30. Suppose j + 26 + 9 = 2*r, o*j + 2 = 0. Let -w**3 - w**4 - r + 17 = 0. What is w? -1, 0 Let v(x) be the third derivative of x**8/4032 + 13*x**7/1008 + x**6/12 + 3*x**5/20 + 19*x**2. Let p(d) be the third derivative of v(d). Factor p(f). 5*(f + 1)*(f + 12) Let r(z) = 2*z**3 + 19*z**2 + 11*z + 20. Let n be r(-9). Determine q so that 5*q**3 + q**2 - 20 - 37*q - 4*q**2 - 7*q**2 + n*q = 0. -1, 4 Let p(q) be the third derivative of -3/32*q**4 + 0*q + 0 - 30*q**2 + 1/80*q**5 + 0*q**3 + 23/480*q**6 + 13/840*q**7 + 1/672*q**8. What is r in p(r) = 0? -3, -1, 0, 1/2 Find v such that 32/19*v**2 + 96/19 - 104/19*v - 2/19*v**3 = 0. 2, 12 Factor 15368 - k**2 + 2*k**2 + 54857 + 530*k. (k + 265)**2 Let f(k) be the third derivative of k**7/735 - k**6/420 - 17*k**5/210 - 5*k**4/28 - 41*k**2 + 1. Find l, given that f(l) = 0. -3, -1, 0, 5 Suppose 113*p - 118*p + 10 = -2*n, 4*n + 2 = p. Suppose 2/7 + n*u**2 + 1/7*u**3 - 3/7*u = 0. Calculate u. -2, 1 Suppose 0 = -4*l - 3*i + 51, 17*l - 14*l - 2*i - 34 = 0. Suppose k - 50 = -4*k. Factor 6*w**3 + 8*w - 10*w + 3 + 6*w**5 - k*w + l*w**2 - 15*w**4. 3*(w - 1)**3*(w + 1)*(2*w - 1) Let w(s) be the third derivative of -s**8/4032 - s**7/56 - 9*s**6/16 - s**5/6 + 2*s**3/3 + 23*s**2. Let n(i) be the third derivative of w(i). Factor n(t). -5*(t + 9)**2 Let s = 1823 + -10937/6. Let k(i) be the first derivative of 13 + 2*i - 5/3*i**2 + s*i**4 + 2/9*i**3. What is l in k(l) = 0? -3, 1 Let f be 4978/(-361) + 7 + 7. Factor -2/19*i**3 + f*i + 0 - 2/19*i**2. -2*i*(i - 1)*(i + 2)/19 Suppose -5*g = -5*y, -2*g + 5*y = 10*y - 21. Let -31*t**2 + 0*t**3 + 26*t**2 - 4*t - t**g = 0. Calculate t. -4, -1, 0 Let x(k) = -9*k + 2. Suppose 4*j = -2*h + 10, -j - 4*h = 2*j - 20. Let i be x(j). Determine a, given that -144*a**4 - 216*a**3 - 2/3 - 38/3*a - 84*a**i = 0. -1, -1/6 Suppose 6 = 2*f, i - 7 - 10 = -4*f. Suppose -8*s + i*s + 18 = 0. Let 3*p**4 - 4*p + 4*p - s*p**2 + 3 = 0. What is p? -1, 1 Let r be 1485/264*12/15. Factor -t - 2*t**4 + 0 + r*t**2 - 3/2*t**3. -t*(t - 1)*(t + 2)*(4*t - 1)/2 Let t(n) be the third derivative of n**8/336 - 2*n**7/35 + 23*n**6/120 + 3*n**5/5 - 64*n**2. Suppose t(u) = 0. Calculate u. -1, 0, 4, 9 Let h(a) be the second derivative of 3/4*a**4 + 0 - 1/7*a**7 + 3/20*a**5 - 3/10*a**6 - 19*a + 1/2*a**3 + 0*a**2. Find d such that h(d) = 0. -1, -1/2, 0, 1 Let c(o) = 2*o**2 - 6*o. Let z(q) be the third derivative of q**5/20 - 11*q**4/24 - 10*q**2. Let n(j) = 5*c(j) - 2*z(j). Factor n(s). 4*s*(s - 2) Let l(x) = 4*x - 678. Let b be l(0). Let h = -4730/7 - b. Suppose 94/7*j**3 + 8/7*j - 40/7*j**4 + h - 12*j**2 + 6/7*j**5 = 0. What is j? -1/3, 1, 2 Let 65/4*z**3 + 1/4*z**4 - 2662 + 693/2*z**2 + 2299*z = 0. What is z? -22, 1 Suppose 25 = -3*y + 25. Suppose 7*a - 10*a = -6. Find q, given that y + 1/4*q + 1/4*q**a = 0. -1, 0 Let c(o) = o**2 + 6*o - 12. Let n be c(-8). Solve -2*s - 91*s**5 + 75*s**n - 49*s**5 + 130*s**3 - 75*s**2 + 12*s = 0 for s. -1, 0, 1/4, 2/7, 1 Let p(d) be the second derivative of -d**7/210 + 4*d**6/75 - 13*d**5/100 - 11*d**4/30 + 16*d**3/15 + 16*d**2/5 - 2*d + 10. Find x such that p(x) = 0. -1, 2, 4 Suppose -8*v = -12*v. Let t be (-46)/(-14) - 2 - 1. Factor v + 0*o**2 - 2/7*o**4 - t*o**3 + 0*o. -2*o**3*(o + 1)/7 Let u(f) be the third derivative of -f**5/30 + 15*f**4/2 - 675*f**3 + 24*f**2 + f. Factor u(c). -2*(c - 45)**2 Let n(x) = x**2 - 9*x - 8. Suppose 10 = -3*y + 40. Let p be n(y). Factor 2/5*a**3 + 0*a**p - 4/5 - 6/5*a. 2*(a - 2)*(a + 1)**2/5 Let c(f) = -3*f - 10. Let d be c(-7). Let i = d - 8. Factor 3 + 4 + 9*v - 1 + i*v**2. 3*(v + 1)*(v + 2) Let y(c) = -4*c**3 - 12*c**2 + 6*c - 4. Let b(j) = -3*j**3 - 11*j**2 + 5*j - 2. Let o(p) = -6*b(p) + 5*y(p). Find q, given that o(q) = 0. -1, 2 Let g(i) be the first derivative of 3/5*i**5 - 3 + 3/2*i**4 - 3*i**2 - 3*i + 0*i**3. Factor g(b). 3*(b - 1)*(b + 1)**3 Let j = -34 + 34. Suppose 0*i = 5*i - 3*r - 32, -i - r = j. Factor -5/2*z**i + 0*z + 0*z**2 + z**3 + 0. -z**3*(5*z - 2)/2 Suppose -3*x = -2*r - x + 24, 4*r - 13 = -3*x. Factor 7*o**2 - 17*o**2 + 2*o**3 + r*o**2 - 10*o + 6 + 5*o**2. 2*(o - 1)**2*(o + 3) Suppose -5*j + 2*j**5 + 18*j**3 - 20*j + 9*j**2 + 14*j**4 + 5*j - 23*j**2 = 0. What is j? -5, -2, -1, 0, 1 Suppose -4 = 2*h, -a - 3*h - 2 = -1. Let y be ((-4)/(-10))/(-1 - 6/(-5)). Solve -d**3 - d**y - 5*d**3 - 3*d**2 + d**a + d**5 = 0. -1, 0, 2 Let v = 2 + 2. Let z = -2 + v. Factor -11 - 84*m - 114*m**z - 1 - 21*m**2. -3*(5*m + 2)*(9*m + 2) Let k(f) be the third derivative of 1/168*f**8 + 0 - 2/3*f**4 - 2/15*f**5 + 1/10*f**6 + 0*f + 0*f**3 + 18*f**2 + 1/21*f**7. Factor k(v). 2*v*(v - 1)*(v + 2)**3 Let h(j) be the second derivative of 0 + 0*j**2 - 1/45*j**5 + 0*j**3 - 2/27*j**4 + j. Suppose h(c) = 0. Calculate c. -2, 0 Let k = 108522 + -431355/4. Let h = k - 680. Suppose -15/4*r**2 - 7/4*r - h*r**3 - 1/4 - r**4 = 0. What is r? -1, -1/4 Suppose -2*i - 2*i - 16 = 0. Let y be ((-5)/10)/(1/i). Factor -2*t**3 + 4*t**y - 27*t + 0*t**3 + 25*t. -2*t*(t - 1)**2 Let s(n) = 7*n + 45. Let a be s(-6). Factor 1/3*y**a + y + 1/3 + y**2. (y + 1)**3/3 Let a = 54 + -49. Suppose 5*w + 3*w**4 - 3*w**4 - 15 + 5*w**a + 20 - 10*w**3 + 5*w**4 - 10*w**2 = 0. Calculate w. -1, 1 Let n = -149/84876 - -6/643. Let b(d) be the third derivative of 0 + 5*d**2 + 0*d**3 - 1/330*d**5 - n*d**4 + 0*d. Determine w, given that b(w) = 0. -1, 0 Let b(c) be the second derivative of c**4/102 - 13*c**3/17 - 148*c. Suppose b(t) = 0. What is t? 0, 39 Let c = 233 + -231. Solve 0*z + 2/3*z**3 - c*z**2 + 8/3 = 0 for z. -1, 2 Find h such that 0 + 7/5*h**3 - 1/10*h**5 + 0*h**2 + 13/10*h**4 + 0*h = 0. -1, 0, 14 Let d(o) = 10*o**2 - 14*o - 1. Let q(i) = 9*i**2 - 15*i. Let b = 5 + -7. Let r be ((-1)/1 - -8) + b. Let f(s) = r*q(s) - 6*d(s). What is j in f(j) = 0? -2/5, 1 Suppose 8 = 4*b - 5*r + 3*r, -4*b = 4*r - 20. Let v(f) be the second derivative of -7*f + 1/2*f**3 + 0 - 1/4*f**4 + b*f**2. Factor v(q). -3*(q - 2)*(q + 1) Suppose -59*n + 6 = -62*n. Let g be n + 7 - 46/10. Find x, given that 0 - g*x - 2/5*x**2 = 0. -1, 0 Let g(z) = z**2 - 5*z - 4. Let a be g(6). Let x be 49 - 45 - 2/(-8)*-6. Factor 1 + 3/2*j - x*j**a. -(j - 1)*(5*j + 2)/2 Let o(l) be the first derivative of l**5/3 + 11*l**4/12 - 11*l**3/3 + 13*l**2/6 + 4*l/3 + 86. Determine w, given that o(w) = 0. -4, -1/5, 1 Let g(v) be the first derivative of -1/2*v**4 + 7*v**2 - 15 - 8*v - 4/3*v**3. Factor g(q). -2*(q - 1)**2*(q + 4) Let k(f) = -2*f + 34. Let w be k(6). Let v = w + -20. Factor -4/7 - 2/7*h**v - 6/7*h. -2*(h + 1)*(h + 2)/7 Let j be 12/2
{ "pile_set_name": "DM Mathematics" }
48? 136 -8 - (33 - (-51 + 50)) -42 14 - (83 + -3 - -1) - ((2 - 2) + -6) -61 What is the value of -11 + 339 + -319 + (0 - 3)? 6 What is the value of -36 + 29 + 23 + (13 - (-2 + 3))? 28 Calculate 140 + -141 - (4 + -2 + 137 + 0) - -6. -134 What is the value of 6 + 17 + -16 + 15? 22 1 - 57 - (1920 - 1881) - (1 + -10) -86 Evaluate -59 + (-48 + 56 - -11). -40 What is the value of (13 - -44) + -29 + 1 + 17? 46 Calculate (-68 - -1) + 0 - (25 + 11 + -36 + 4). -71 148 - (723 + -690 + 3 + -1) 113 What is (18 + -17 + 7 - -10 - 11) + -4 - 23? -20 What is the value of -1 - -13 - (54 + -6 - 28 - (70 + -7))? 55 Calculate -5 + 77 - (1160 + -974). -114 Evaluate 18 + (4 + 13 - 18 - -13) + -90. -60 (-1 - (-66 - (2 - (0 + -5)))) + (-14 - -5) 63 Evaluate -1 + -1 + -3 + (-83 - -5) + 57. -26 What is the value of -112 - -29 - (-104 - -32)? -11 What is the value of (26 - 20) + 8 + 30 - 7? 37 What is the value of (-5 - 61) + (-10 - (16 + -38)) + 5? -49 What is -1 + -13 + (-39 - (5 - 50)) + (29 - 0)? 21 What is 6 + 1 - (349 - 380)? 38 What is -8 - (-9 - (-7 + 2)) - (24 + -33)? 5 Evaluate (-8 - 0) + -256 + 296 + -26 + 0 - -42. 48 What is -39 + (29 - -40) + (11 - -1)? 42 Calculate -2 - -14 - (11 + 46 + -83 + -12). 50 Evaluate ((-2 - -4) + 61 - 12) + (-2 - (3 + -1)). 47 What is the value of (-10 + 30 - (10 - (-15 + 11 + 3))) + -7? 2 -15 + 22 - (-10 - ((-24 - -12) + -12)) -7 (-1 + 3 - -9) + (2 - -15 - (-935 + 1062)) -99 (1 + -4 - (-31 - -70)) + (-2 - -15) -29 Evaluate 15 + (-4 - 35) + -11 + 5 + -5 + -10. -45 33 - (-208 - -250 - (35 + -1)) 25 What is the value of -475 + 408 - (-60 - 0)? -7 -54 + (45 - 100) + 29 -80 324 + -469 + 225 - (9 + 0 + -1 + 0) 72 What is -11 - (-11 + (3 - (8 + 1 + -13 + 5)))? -2 -514 + 549 + 2 + -45 -8 Evaluate (2 + 7 - 0) + (18 - 45 - -13). -5 What is 24 + (-26 + 34 + -15 - -17)? 34 Evaluate -8 - 10 - (14 + -41) - (2 - 38) - 8. 37 What is -94 + (-63 + 15 - -116)? -26 -54 + -3 + (-174 - -275) 44 (18 - (34 - -4)) + (1 - -8) -11 What is 134 - (-68 + 25) - 101? 76 What is -34 + 97 + -105 - -99? 57 Evaluate (58 - (-11 - -1)) + -14. 54 (-7 + 82 - 56) + (-28 - (-2 - -2)) -9 Calculate 106 + -85 + -1 - 33. -13 What is the value of 0 + -52 + -1 - (62 + -36 + -39)? -40 Calculate ((5 - 3) + -4 - (-9 + 10)) + (-143 - -133). -13 What is 607 + -548 - (40 + -9)? 28 Calculate 12 - (4 - (-24 - (0 - 9) - -15)). 8 What is -143 + 159 + (4 - 9) + -82? -71 Evaluate 2 + 3 + -1 + (-3 - 26 - -22). -3 What is the value of (1 - 0) + (-52 - (-81 + 22)) + (47 - -1)? 56 Evaluate 14715 + -14678 + (-2 - ((2 - 0) + 0)). 33 42 + (68 - 48) - 125 -63 (-14 + (-3 - 4) - (18 + -14)) + 12 -13 What is (-9 - -5) + 35 - 20? 11 Calculate 0 - (-87 + 243 + -123). -33 What is -13 - (-7 + -44 + 2)? 36 Calculate (13 + -24 - (0 + -3 + -10)) + (57 - -2). 61 What is the value of (25 - (-7 - (-16 - 7))) + -47 + 56? 18 Calculate (-16 - (6 - 3)) + 116 + 98 + -225. -30 Evaluate 31 - -72 - 85 - 69. -51 Calculate 90 + -79 + -19 + -3 + -17 + -2 + 3. -27 -44 + 24 + 1 + -10 + -11 -40 What is 29 - ((56 - 44) + (21 - -3))? -7 -10 + (152 - ((-6 - 4 - (11 - 6)) + 12)) 145 What is (-4 + 2 - (-10 + 4 + 1 - 7)) + 23? 33 -54 + 27 + 26 + -7 + 53 45 Evaluate 128 + (-46 - -1) + (-2 - 0). 81 Evaluate -65 - (56 + -190) - 158. -89 Calculate 4 - 0 - 4 - (-81 - -75) - -2. 8 Calculate (-18 - 0) + (0 - (9 + -22) - 8). -13 What is 62 + -136 - -73 - (-62 - 1)? 62 What is the value of (-16 - -35) + (45 - 81 - (-2 + 17))? -32 Evaluate 10 + -14 + -9 + 21 + 5 + 1 - -13. 27 What is 1 + -9 + (48 - (-71 + 60))? 51 What is the value of -3 - (-13 + 38 + (-5 - 10) - (7 + -5))? -11 Evaluate 83 - (15 + (-18 - 11) - -3 - (2 - 15)). 81 47 - (26 - 13 - 16) 50 What is the value of -27 + 66 + 24 + -29? 34 Calculate -20 + 63 - 80 - -59. 22 Calculate (44 - 2) + (-2 - 4 - 0) - (-15 - -7). 44 Evaluate -56 + (12 - -30) + 2 + (-5 - -3) + -63. -77 What is the value of -10 - (25 - 35) - (5 + (-4 - -10)) - 15? -26 What is the value of -145 + 63 + -15 - -22? -75 Evaluate -113 - -18 - (12 - 1 - 25). -81 (-4 + (113 - 3) - 19) + -2 + -11 74 (8 - (4 - -6)) + (19 + -7 - -11) 21 What is -1 + 16 + 1440 + -1468? -13 What is -60 + 93 + (-98 - -44)? -21 38 - (87 - (-72 - 12)) -133 What is the value of -1 + -9 + (-222 - -212)? -20 Evaluate (495 - 516) + (0 + 16 - -4) - (77 - 2). -76 -9 - (-1 + (-11 - (-2 + 6) - -12)) -5 (-3 + 7 - (0 + 38) - -1) + 13 -20 Calculate (-99 - (-5 + (25 - -11))) + -11. -141 Calculate 1 + -7 - (-9 + -2 + -1 + 18 + 5). -17 Evaluate (2 - 4) + 28 + (26 - 47) + 1. 6 Evaluate -26 + -4 + -23 + 15 + 4 + (-4 - -2). -36 Evaluate (-10 - (-14 + -12)) + -4 + 24. 36 What is 14 + (0 - 20) - (10 - (13 + -4))? -7 Calculate (26 - (14 + -12)) + -32 + (0 - 2). -10 Calculate -45 + 53 + 48 + -99. -43 What is the value of 22 + (192 + -206 - (6 - 3 - -15))? -10 What is the value of (-2 - 106) + (7 + 3 + (-12 - -17) - 10)? -103 What is the value of (-10 - -69) + (-9 - (-18 - -12))? 56 -100 + (4 + -10 - -20) + 19 -67 Evaluate -12 - -1 - (-302 + 4 + 201). 86 10 + -16 + 6 - (-3 + 17) - 30 -44 Evaluate 0 + -1 - -78 - (-35 + 0 + 49 + -17). 80 94 + 0 + (19 - -2) + (-146 - -78 - -58) 105 What is the value of (0 - (2 - (1 + -2))) + 6 - (11372 + -11364)? -5 Evaluate -16 + (22 - 14) + (55 - 42). 5 What is (0 - 3) + 24 - (-13 - -16 - 13)? 31 What is (3 - 0) + -32 + 26 + 115 + 3? 115 0 + -22 - (1683 - 1662) -43 Evaluate -1766 + 1775 - (-9 + 0). 18 93 + (-26 - (-29 + (12 - 0) - -4)) - 10 70 What is 58 - (0 + 1) - (69 + -107 + (27 - -21))? 47 What is -51 - -43 - (-5 - (-2 + 10)) - 21? -16 What is 7 + 19 + (78 - 142)? -38 Evaluate (-37 - 3) + (-4 + 6 - -13). -25 What is 25 - (104 - (122 - 55))? -12 49 + (3 - 14) + -13 + 19 44 What is (-96 - (-5 - -10)) + 8 - (21 + -6 + -12)? -96 Evaluate -16 + ((31 - -20) + 15 - 22). 28 What is -106 + 56 + 3 + (3 - 12)? -56 What is 106 - (50 + 2 + 19)? 35 Evaluate -7 - ((-3 - (32 - -43)) + 2 + -1). 70 -31 + (-4 - -15 - 13) + (5 - 4) -32 -10 + 40 + -9 + -23 + 18 + -9 7 What is the value of (0 + 1 - -44) + (1 - 34 - (-32 - -2))? 42 What is (-272 - (-570 - -303)) + 74 + 0 + 2 + -2? 69 Evaluate (78 - (-13 + (23 - -12))) + -7. 49 What is 7 + (2 - (-16 + 6 - -9)) + (0 - 23)? -13 What is the value of 40 - (15 + (15 - 5) + -28)? 43 Evaluate (-417 - -458) + (-2 - 6) + (-52 - -61). 42 What is -246 + 270 + (-50 - -9)? -17 Calculate 69 - (455 - 456 - (-22 + 1)). 49 Evaluate -48 - (15 + -19 + 19 + -22). -41 What is 37 + -26 + 54 + (-5 + (16 - 3) - 11)? 62 What is the value of -83 + 21 + 19 - (-24 - -4)? -23 Evaluate (1 - (12 + -4)) + (12 - (-1 + 14)). -8 Evaluate (-10 - (-19 - (13 - 22))) + 4 + 0 + -14. -10 25 - (-73 + 16 + 102) -20 Evaluate -1 - ((10 - -11) + -39 - 36). 53 -39 - (-1 + 16 + (446 - 462)) -38 Calculate 107 - 3 - (39 + -18 + (19 - 24)). 88 1322 - 1278 - (-7 - (-1 - 1)) 49 What is (145 - (9 + -10)) + (55 - 77)? 124 Evaluate -530 - -596 - (4 + -2 - 8). 72 Calculate -3163 + 3240 + (-1 - 67). 9 What is the value of 36 + 0 + (132 - (88 - -19))? 61 Calculate -9 + 7 + -1 + 14 - 20 - 1. -10 (-2414 - -2483) + 2 + -3 + -14 + -1 53 Calculate 9 - (-103 + 98 + (4 - (2 - 4)) + 7). 1 -4 + (-7 - -1) + -20 + 8 + 3 -19 Evaluate -199 + 0 + 116 - -84. 1 60 + (-18 - (-18 - -24)) + 34 70 Calculate -48 + (-6 - (12 + -20)) + (2 - (2 + 0)). -46 What is 535 + -506 + (-50 - 8)? -29 Evaluate -4 + (50 - (75 + -82)). 53 4 + -21 + (11 - -3) - (70 + -10 + 11) -74 Evaluate 0 + -5 + 112 + -11 - (-34 - -33). 97 Evaluate 0 + -5 + (-364 - -409) + 3 + 2 + 2. 47 (-1 - -4) + 81 + -40 + -38 + -1 5 Evaluate (-51 - 0) + (-5 - ((-8 - -63) + -48)). -63 14 + -2 + (-3 - -3) - (133 - (124 + -91)) -88 Evaluate 1 + -4 + (837 - 872). -38 What is 2 + -66 + (41 - (9 - (12 + -20 + -11)))? -51 1667 - 1482 - (129 - 0) 56 Calculate -23 - (-5 + -1 + 4 - (-597 + 580)). -38 Evaluate -11 + 3 + (30 + -13 - -108) + -16 + -14. 87 Evaluate (0 - -62 - 0) + (0 - ((17 - 22) + 2)). 65 What is -28 - (-2 + -9 - -20 - 90)? 53 What is the value of 1 + (38 - 0 - (60 - 39))? 18 Calculate (9 - 6) + -20 - 17. -34 What is the value of -47 - (-474 - -496 - (22 + 2))? -45 Evaluate -1282 + 1305 - (2 + 17). 4 What is the value of (-162 - -145 - -125) + (-2 + 1 - (0 + 7))? 100 What is the value of (-55 + 10 - -93) + -49 + (0 - 10)? -11 What is 26 + (0 - (-11 - 2)) + -1 + (2503 - 2507)? 34 Calculate (-102 - (-127 - -133)) +
{ "pile_set_name": "DM Mathematics" }
te the highest common factor of 182508 and 603. 201 Calculate the highest common divisor of 3427784 and 8. 8 What is the highest common factor of 244 and 609878? 122 Calculate the greatest common factor of 25040340 and 54. 54 What is the highest common divisor of 5824 and 5278? 182 What is the greatest common divisor of 22 and 43748? 2 Calculate the highest common divisor of 1183 and 15561. 91 Calculate the highest common factor of 414 and 4462. 46 What is the highest common factor of 567 and 1792? 7 Calculate the highest common divisor of 624 and 115791. 39 Calculate the highest common divisor of 244601 and 14. 7 What is the greatest common divisor of 2324 and 84328? 332 What is the greatest common divisor of 57484 and 112? 28 What is the greatest common divisor of 86 and 1598482? 86 Calculate the greatest common factor of 22557 and 111. 3 Calculate the highest common factor of 630 and 205. 5 Calculate the greatest common divisor of 148464 and 16. 16 Calculate the highest common divisor of 2365596 and 552. 276 Calculate the greatest common factor of 4578 and 426. 6 What is the highest common divisor of 97006 and 574? 574 What is the greatest common factor of 14 and 1260434? 14 Calculate the highest common divisor of 1238 and 991019. 619 Calculate the greatest common divisor of 10 and 2189725. 5 Calculate the highest common factor of 88 and 950136. 88 What is the greatest common divisor of 250357 and 291? 97 What is the greatest common divisor of 417 and 6240? 3 What is the highest common factor of 153819 and 6? 3 Calculate the highest common divisor of 3440 and 104275. 215 What is the greatest common divisor of 111226 and 38? 38 What is the highest common factor of 276 and 10866? 6 What is the highest common factor of 4 and 16334? 2 What is the greatest common divisor of 8448 and 1488? 48 Calculate the highest common divisor of 943 and 2993. 41 What is the greatest common divisor of 196753 and 151? 151 Calculate the highest common divisor of 105 and 7264005. 105 What is the greatest common factor of 23140 and 370? 10 What is the greatest common divisor of 87 and 35612? 29 Calculate the greatest common divisor of 102267 and 25825. 1033 Calculate the greatest common factor of 189 and 2520. 63 What is the highest common divisor of 728 and 1211? 7 What is the highest common factor of 1418 and 1712235? 709 Calculate the greatest common factor of 15225 and 31059. 609 Calculate the highest common factor of 84834 and 243. 27 What is the highest common factor of 14 and 88683? 7 Calculate the highest common divisor of 6584847 and 139. 139 What is the highest common factor of 39 and 2672371? 13 What is the highest common factor of 452 and 329282? 226 Calculate the greatest common divisor of 9997 and 486008. 769 What is the greatest common divisor of 76422 and 23306? 542 Calculate the greatest common divisor of 33852 and 108. 12 Calculate the highest common divisor of 312 and 166530. 78 Calculate the highest common factor of 313458 and 1068. 534 Calculate the highest common factor of 17 and 59993. 17 Calculate the greatest common divisor of 4756185 and 126. 63 What is the greatest common factor of 441 and 340641? 63 Calculate the highest common factor of 447 and 5960. 149 What is the greatest common factor of 611037 and 1323? 189 What is the highest common factor of 264 and 564168? 264 Calculate the greatest common divisor of 7293 and 561. 561 Calculate the highest common factor of 30397 and 2599. 113 Calculate the greatest common factor of 231 and 2574. 33 Calculate the highest common divisor of 182 and 14504. 14 What is the highest common factor of 138 and 1500? 6 Calculate the greatest common factor of 51 and 9231. 51 Calculate the highest common divisor of 1314 and 822. 6 Calculate the highest common factor of 990 and 3708. 18 Calculate the highest common divisor of 4692 and 6. 6 Calculate the highest common factor of 4175926 and 2116. 1058 Calculate the greatest common factor of 50 and 4608950. 50 Calculate the highest common divisor of 456 and 224580. 228 Calculate the highest common divisor of 31768 and 4180. 836 Calculate the greatest common divisor of 40821 and 13893. 33 Calculate the greatest common factor of 47121 and 1017. 339 What is the greatest common divisor of 2879560 and 1158? 386 Calculate the highest common divisor of 202969 and 169. 169 Calculate the greatest common divisor of 2392 and 15704. 104 Calculate the greatest common factor of 1430 and 55705. 65 Calculate the greatest common factor of 432 and 288603. 27 What is the highest common divisor of 332 and 226673? 83 Calculate the highest common factor of 28672 and 686. 14 What is the greatest common factor of 44363 and 3663? 407 What is the greatest common divisor of 175 and 2149? 7 Calculate the highest common factor of 705 and 421026. 141 What is the greatest common divisor of 6834032 and 848? 848 What is the highest common factor of 2290526 and 532? 266 What is the highest common divisor of 10208 and 280256? 928 What is the highest common divisor of 15 and 13935? 15 What is the greatest common factor of 2665 and 64165? 205 What is the greatest common divisor of 712 and 28302? 178 What is the greatest common factor of 2560 and 135? 5 Calculate the highest common factor of 180566 and 3562. 274 Calculate the greatest common divisor of 175 and 6362475. 175 What is the highest common divisor of 62 and 14552764? 62 What is the highest common factor of 532 and 15274? 14 Calculate the highest common divisor of 10918 and 318. 106 Calculate the highest common factor of 3564 and 1440. 36 Calculate the highest common divisor of 31444 and 296. 4 Calculate the highest common divisor of 134878 and 238. 34 Calculate the greatest common factor of 3 and 12853. 1 What is the greatest common factor of 2392 and 7912? 184 Calculate the highest common divisor of 504 and 143990. 14 Calculate the greatest common divisor of 49013 and 46. 23 Calculate the greatest common factor of 37926 and 338324. 602 What is the greatest common factor of 1375 and 16750? 125 Calculate the greatest common factor of 3328 and 715. 13 What is the highest common divisor of 6800 and 2080? 80 Calculate the highest common divisor of 538498 and 766. 766 Calculate the greatest common divisor of 2250 and 144. 18 Calculate the highest common divisor of 4984 and 1360. 8 Calculate the highest common divisor of 6517 and 16807. 343 Calculate the greatest common divisor of 40 and 55850. 10 Calculate the greatest common factor of 18 and 10449. 9 What is the greatest common divisor of 508761 and 27? 27 What is the highest common divisor of 5 and 696035? 5 What is the greatest common divisor of 37459 and 188? 47 What is the greatest common factor of 5115 and 20130? 165 What is the greatest common divisor of 94156 and 8? 4 Calculate the greatest common factor of 88198 and 2954. 422 What is the highest common factor of 102992 and 3608? 328 What is the greatest common factor of 14381 and 79391? 197 What is the greatest common divisor of 92640 and 640? 160 Calculate the highest common factor of 62051 and 176. 11 Calculate the highest common divisor of 7551 and 375. 3 What is the highest common factor of 16599 and 99? 33 Calculate the highest common divisor of 5797467 and 9. 9 What is the highest common factor of 23676 and 672? 12 Calculate the greatest common divisor of 12 and 663978. 6 What is the highest common divisor of 3606476 and 67? 67 Calculate the greatest common divisor of 844 and 418624. 844 Calculate the greatest common divisor of 5539 and 10208. 29 What is the greatest common divisor of 200 and 1656? 8 What is the greatest common divisor of 1659 and 357791? 553 What is the highest common divisor of 1254108 and 12300? 492 Calculate the greatest common divisor of 18758 and 63280. 226 What is the highest common factor of 6 and 141102? 6 Calculate the highest common divisor of 36304 and 20. 4 What is the highest common factor of 201238 and 478? 478 What is the highest common factor of 6 and 42144? 6 Calculate the highest common factor of 630 and 8470. 70 What is the highest common divisor of 28 and 6979? 7 What is the highest common divisor of 966 and 5658? 138 What is the highest common factor of 42 and 177639? 21 Calculate the h
{ "pile_set_name": "DM Mathematics" }
. What is the nearest to -1 in n, 3, 16? n Suppose -5*g = -2*x + 1, -3*g + x + 0 - 1 = 0. What is the closest to g in 0.04, 2, 5? 0.04 Suppose -4*y + 5*b - 5 = 0, -4*b = b + 15. What is the nearest to -2 in -1, -2, y? -2 Let p(w) = -w - 10. Let d be p(0). Let k = d - -5. Let r = -867.9 + 867.6. Which is the nearest to 1? (a) k (b) r (c) -0.2 c Let s = 704 + -703.7. What is the nearest to s in 3/8, -1, -0.1, -2? 3/8 Let b be 9/(-6) + -1 + 3 + 1. What is the closest to b in 1/4, 3, 15? 1/4 Let f = 39.1 - -79.9. What is the nearest to f in 0.3, 1/7, -2? 0.3 Suppose 7*l = 2*l - 4*a - 2, -5*a - 21 = -3*l. What is the nearest to 0 in -0.3, -12, l? -0.3 Let j = 88 + -89. Let b be (-21)/(-9)*(122/(-42) - -3). What is the closest to j in -1/4, b, -1/5? -1/4 Let x = -99 - -695/7. Let g = -12.9 - -8.9. Which is the nearest to x? (a) g (b) -0.1 (c) -6 b Let w be (2/28)/((-6)/12). Let t(k) = 7*k - 1. Let h be t(4). Suppose 2*m - 14 = -x, 3*x - 4*m = -7*m + h. Which is the closest to 1? (a) 0.3 (b) w (c) x a Suppose 0 = 2*b - n, -2*b - 4*n + n = 16. Let o be b/(-10) - (-2 - -2). What is the closest to -1 in -1/4, 2/7, o? -1/4 Let l = -2 - -2.1. Let y = 214 - 221.3. Let t = y + 4.3. Which is the closest to t? (a) l (b) -5 (c) 1/2 b Let p = 2.1 + -6.3. Let u = p + -0.8. Suppose 7 = q - 5*f, -4*q + 5*f + 3 = -10. Which is the closest to -1/3? (a) q (b) 0.4 (c) u b Let s = -9.19 - -0.19. Let b = -101 + 90. Let v = b - s. What is the closest to v in 0.5, 0.1, -3? -3 Let j = -2.39 + 1.39. Which is the closest to -0.1? (a) j (b) -4 (c) 3 (d) -2 a Let i = -0.8 + -0.2. Let m = 0.88 - 0.35. Let g = m + -0.33. Which is the closest to 0.1? (a) i (b) g (c) -0.5 b Let h = -29.03 + 3.03. Which is the nearest to 1? (a) -3/2 (b) h (c) -2 a Let d = 0.43 - 0.33. Let v = -20 + 20.1. Which is the nearest to d? (a) 2 (b) v (c) 8 b Let u = -1733 + 1729. What is the closest to -0.1 in 8, 0.3, -2, u? 0.3 Let u = 10.9 + -1.7. Let t = 9.2 - u. What is the closest to 0.02 in 1/2, t, -0.5? t Let r be 75/24*(-32)/(-80). What is the nearest to 3 in -5, r, 20? r Let p = -553.2 + 553. What is the nearest to p in 0.2, 0.081, 5, 2/11? 0.081 Let n = -44 + 42. Let x = 1.2 + -0.2. Let h = -0.19 + 0.09. What is the closest to x in h, n, 0.5? 0.5 Suppose -173 = t - 5*m, -2*m + 182 = -t - 6*m. Let p = t - -1248/7. Which is the closest to 0.1? (a) p (b) -0.1 (c) -1/4 a Let g = 653 + -722. Which is the nearest to 1? (a) -5 (b) 4/3 (c) g b Let k = -1.2 - 15.8. Let r = 17.5 + k. What is the nearest to -1 in 2, -0.5, r? -0.5 Let r(o) = -o - 10. Let l be r(6). Let q be (6/1)/(24/l). Which is the closest to 2? (a) 5 (b) -8 (c) q a Let f = -17.9 - -19.9. Let a = 0.1 - 0. Let j = -3 + 4. What is the closest to j in -0.1, f, a? a Let r = -23 - -22.975. Let w = 2.975 - r. Which is the closest to -2/9? (a) w (b) -1/4 (c) 1/2 b Let q = 1458 - 1456. Which is the closest to -3/8? (a) -1 (b) 4 (c) -3/5 (d) q c Let n be 2/8*-19 - (-156)/208. Let b be 32/16*(-2)/n*-1. What is the closest to b in -1/4, 1/2, 3? -1/4 Let b = 1.85 + 0.05. Let s = 1.8 - b. Let o = 0.13 + 4.87. What is the closest to s in 0.3, -1/3, o? -1/3 Let q = -516 - -516. What is the closest to q in -0.05, -3, -2/13? -0.05 Let m(w) = -w**3 - 10*w**2 - 24*w + 2. Let s be m(-6). Let u = 97 - 96. Which is the nearest to 2? (a) u (b) s (c) -15 b Let n be (-4)/(-6) - ((-1001)/(-42))/11. What is the nearest to -1 in n, -1, 4/15? -1 Let r be (-2)/(-4)*4/6. Let f = 2031.04 + -2031. What is the closest to f in r, 0.3, 4? 0.3 Let w be 4*222/(-180) + 2 + 3. What is the closest to 1 in -0.2, 2, -2, w? w Let h = 2 - 3. Let n be (0*27/(-270))/((-3)/1). Which is the closest to -4? (a) h (b) n (c) 4 a Let s be 3 + (12/7 - (-74)/259). What is the nearest to -0.1 in 0.1, -21, s? 0.1 Let f(w) = -38*w + 795. Let t be f(21). Which is the nearest to -1/5? (a) 1 (b) -0.5 (c) t (d) -1 b Suppose -98 = -12*m - 86. What is the closest to 0.1 in m, -0.1, -10? -0.1 Let l(d) be the second derivative of d**4/12 + 17*d**3/6 - 15*d**2/2 - d. Let t be l(-18). Which is the closest to -3? (a) -5 (b) 0.1 (c) t a Let q(o) = -o**2 + 2*o + 10. Let z be q(4). What is the nearest to -1/2 in -16, z, -3/5? -3/5 Let g = 0.011 + -0.791. Let z = 0.98 + g. What is the closest to z in 0.2, 1, -3? 0.2 Let k = 3.57 + -0.37. Let v = k + -3. Which is the closest to 0? (a) -2 (b) v (c) -2/9 b Suppose 5*v + 11 = 66. Let i = v - 11. Let o be i - -1*(5 - 3). What is the closest to 1 in -2, o, 2/3? 2/3 Let s be (-9)/10*90/(-108). Let z be -1 + 1 + 6/16. Which is the nearest to 0? (a) 0 (b) s (c) z a Let p = -2 - -7. Let z = 1.08 - -2.92. What is the nearest to 1 in p, z, -2/7? -2/7 Let s be ((-1)/(-236))/((-1)/6). Let i = s - -493/826. Let y(g) = -g**3 + 7*g**2 + 9*g - 7. Let f be y(8). What is the closest to -0.2 in i, f, 0.4? 0.4 Let t = -0.002 + 4.002. Let m = -0.4 + 0.3. Let h = -19 - -19.1. Which is the closest to m? (a) -0.5 (b) h (c) t b Let j be ((-4)/15)/(6/9). Let t = 0.76 + 0.24. Which is the closest to -11? (a) -3/7 (b) j (c) t a Let n = -1061/6 - -177. Which is the closest to -0.2? (a) 0 (b) n (c) 0.3 a Let y = 2167 - 2166. Let d = -201/4 + 51. Which is the nearest to y? (a) 2/21 (b) -4 (c) d c Let z = 1.1 + -1. Let k = -28 - -25. Let u be k/(-5) - 8/30. What is the nearest to -1/2 in z, 4, u? z Let j = 4 - 8. Let y = -1.59 + 1.69. Which is the closest to y? (a) 5 (b) 4 (c) j b Let f = -3 + 3.1. Let j = -41/180 - -9/20. Which is the closest to -3/2? (a) 0.3 (b) j (c) f c Let p be 30/2*4/(-6). Let j be (-12)/(-28) + 4/28*-17. Let u be (j/p)/((-12)/75). What is the closest to 1 in -3, u, 4? u Let y(r) = r**2 + 5*r + 6. Let w be y(-4). Let v = -0.7 - -55. Let s = v - 54. Which is the nearest to w? (a) 2 (b) -0.2 (c) s a Let g = 0.1 - 2.1. Which is the closest to 29? (a) 0.2 (b) -0.1 (c) g a Let f be -3 - ((-18)/21 + -2). Let n = 3 + 0. Suppose -6*p = -20*p. What is the closest to p in n, f, -5? f Let z = 1 + -1. Let j = 4307/3 - 1434. Which is the closest to -0.2? (a) j (b) 0.5 (c) z c Let s = -41.6 - -42. Let m = s - 0.6. Let h = -4.9 + -0.1. What is the closest to 2/7 in 0.4, h, m? 0.4 Suppose 8*s - 3*s = s. Let c = -12 + 8. Let k be s - (-2)/c*4. What is the closest to k in -1/4, 0.3, 2/5? -1/4 Let o(w) = w**3 + 6*w**2 + 6*w - 5. Let p be o(-5). Let q be 2/10 - ((-144)/p)/(-3). Let g = 2.5 - -0.5. Which is the nearest to 1? (a) g (b) q (c) -2 a Let v = 2.9 + -3. Let k = 139.5 - 139.7. What is the nearest to v in 1/6, k, -0.1? -0.1 Let x = 1073/7 - 153. Let p be ((-12)/(-30))/(3/(-15)). Which is the closest to x? (a) p (b) -1/8 (c) 1/4 c Let h = 277 + -281. Which is the nearest to 0.2? (a) -0.1 (b) 2/5 (c) h b Let p = 256 - 256. Let v = -8/5 - -11/10. What is the nearest to v in p, 1/8, 0.3? p Let m = 13/2 + -8. Let v(u) = -u - 7. Let s be v(-10). Which is the nearest to -3? (a) s (b) m (c) -0.1 b Let b = 12.3 - 85.3. Let g = b - -71. Let i = -7 + 6.7. What is the closest to i in g, 0.4, 3? 0.4 Let p = 5.15 + -5.05. What is the closest to 0.4 in 11, 3, -5, p? p Let d(c) = 5*c**2 - 74*c + 117. Let r be d(13). Let y(v) = -v**3 - 5*v**2 + v. Let h be y(-5). What is the nearest to r in h, -0.5, -1? -0.5 Let q(t) = 2*t**3 + 22*t**2 + 4*t + 43. Let k be q(-11). What is the closest to -0.3 in k, 1/10, -0.3, -1/6? -0.3 Let w = -7 + 40. Let p = w + -32.8. Which is the nearest to 1? (a) p (b) -5 (c) 4 a Let a = 0.3 + -0.2. Let b = 101/372 + -2/93. Let d = 22 - 23. What is the closest to d in b, a, -0.5? -0.5 Let q = 159.8 + -160.1. Which is the closest to 3/2? (a) 1 (b) q (c) 4 a Suppose -2*v - 10 = 4*p - 4*v, -4*p + 25 = 5*v. Let g = -0.393 - -0.193. Which is the nearest to p? (a) 0.1 (b) -1/6 (c) g a Let d = 5.6 + -5.8. Let x = -73 - -67. What is the nearest to x in 0.2, -2/9, d? -2/9 Let y = -1.24 + 0.58. Let p = 0.86 + y. Let l = 0.1 + -0.3. Which is the closest to 1/2? (a) -5 (b) l (c) p c Let i = -2.05 - -0.05. Let l = 50 - 52. Let m = i - l. What is the nearest to -0.1 in -4, m, 2/3? m Let t = 157/182 + -15/26. Let z = -65/3 - -21. What is the nearest to t in z, 4, -5? z Let k = -0.778 + 0.278. Which is the nearest to 0.1? (a) 0.05 (b) -5 (c) k a Let s be 61135/14322*1/120. Le
{ "pile_set_name": "DM Mathematics" }
t. 1 Let o = -20 - -21. Suppose 0 = 2*v + o - 5. Solve -2 = -3*g + v*g for g. 2 Let u = -4 - -8. Solve 5*i = -1 - u for i. -1 Let k = 39 - 19. Solve 0 = -6*x + x - k for x. -4 Let g = 3 - 1. Suppose -2*l + 4 = g. Let t be (-3)/l + (0 - -3). Solve t = -4*n - 0*n for n. 0 Suppose 0 = 5*k - 25, 5*k - 20 = 4*d + k. Let b = -4 + 12. Solve d = 5*f + b - 3 for f. -1 Let v(n) = 2*n + 10. Let r be v(-5). Solve r*k - 2*k = 0 for k. 0 Suppose -j + 12 = -k, 0 = -2*j - k - 2*k + 24. Solve -17*r = -j*r for r. 0 Let i be (-22)/6*1*-3. Let c = -2 + i. Suppose -x + c = -6. Solve z + x = -4*z for z. -3 Let n(d) = -d**3 - 2*d**2 + 2*d - 1. Let j be n(-3). Suppose 21 = j*s - 4*u - 25, 115 = 5*s + 3*u. Solve -s + 8 = -5*k for k. 3 Let w(f) = 2*f**3 - f**2 + f. Let c be w(2). Let z be (-4)/c - 6/(-21). Solve u = -2 - z for u. -2 Let z(h) = 4*h**2 + h - 2. Let j = 4 + -6. Let i be z(j). Solve 0*a + 3*a - i = 0 for a. 4 Let q be ((-3)/6 + 1)*4. Suppose 0 = -0*f + q*f - 24. Solve -2*k + f = k for k. 4 Let n(i) = 18*i**2 + i**3 - 18*i**2 - i + 2. Let c be n(0). Let v(r) = r**2 - 5*r + 6. Let s be v(4). Solve -x - s - c = 0 for x. -4 Let m be 12/8*(-14)/(-3). Let s(q) = q**2 - 9*q + 16. Let t be s(7). Let u be (-2 + t)/(1/(-1)). Solve -3*r + m + 5 = u for r. 4 Let n be (-1 + 5 + -7)*(-8)/6. Solve 0 = -5*b - 1 - n for b. -1 Let t be -3 + 3/((-3)/(-8)). Suppose -t*h + 5 = -10. Suppose 2*a - 5 + h = 0. Solve -3*x = 2 + a for x. -1 Suppose r - 4*g - 7 = 0, -4*g + 7 = 3*r + 2. Solve -r*y = -10 - 2 for y. 4 Let v be 6/(-9) - 68/(-3). Suppose -7 = 5*o - v. Solve q + o = 1 for q. -2 Suppose -56 = -3*s - 5. Let o(t) = t - 2 + s - 2. Let d be o(-8). Solve -d*y - 2 = 8 for y. -2 Suppose 0 = 5*h - 10, w + 0*w = 4*h - 5. Solve 12 = 6*k - w*k for k. 4 Suppose -2*b = -2*y + 4, 3*b - 5*y + 4*y + 2 = 0. Solve 0 = -b*z + 2*z - 8 for z. 4 Suppose -a - a = 2*v, 2*a + 9 = -5*v. Suppose 0 = 5*h - a - 2. Solve 3*g = 2 + h for g. 1 Suppose -3 = -10*z + 9*z. Solve -5 = z*j + 7 for j. -4 Suppose 4*b = -5*p - 10, 2*b - 4 = -3*b + 2*p. Solve 5*i + b*i = 5 for i. 1 Suppose 0*y = -y + 4. Suppose y*q = 3 + 5. Solve -4*w - q = -6 for w. 1 Let o(z) be the third derivative of z**6/120 + z**5/30 - z**4/12 + z**3/6 + z**2. Let c be o(-3). Let i be 9*-2*c/12. Solve i*v + 8 = -v for v. -2 Suppose 0 = -i - 3*d - 14, -3*i = -d - 0*d + 2. Let f = i - -2. Suppose -2*a + f*q + 6 = -q, -4*q = 4*a. Solve 2*w - 6 = -a for w. 2 Let w = -2 - -2. Suppose 0 = -l - w + 6. Solve 5*g = l - 21 for g. -3 Let c(a) = -a - 7. Let t = 20 + -30. Let q be c(t). Suppose -j - 4*s - 3 = 0, 2*j - s - 8 = -2*s. Solve -q*r = -4 - j for r. 3 Let v be ((-2)/3)/((-16)/24). Solve -i + v = -0*i for i. 1 Let j be (-150)/4*2/(-3). Solve 6*c - c - j = 0 for c. 5 Suppose 5*t = j - 33, -4*t - 4 = 2*j + 14. Let g(r) be the second derivative of -2*r**3/3 - 9*r**2/2 - r. Let i be g(t). Solve -i = 6*a - 3*a for a. -5 Let y(p) = -p**3 + 3*p**2 + 3*p + 5. Let m be y(4). Suppose 5*o + 28 = l, -2*o + m - 2 = 3*l. Let v be (14/4)/(1/2). Solve 2*d - l = v for d. 5 Let r(q) = q**3 - q. Let w be r(-1). Suppose w = -3*v + t - 2 + 7, -4*t - 5 = 3*v. Let j be v/3 - (-5)/3. Solve -j*l = 3*l for l. 0 Suppose -2*u - 1 = 2*h - 3, h - 1 = 0. Solve u*n + 6 = -2*n for n. -3 Let c be 1*16 + (-11 - -8). Suppose 9*j - c*j = -32. Solve j = f + f for f. 4 Let a(x) = -x + 7. Let s be a(6). Let j = s - -2. Suppose c = 2*c - j. Solve -c*o + 5 = 2*o for o. 1 Suppose 4*y + 2 = -18. Let t = -3 - y. Solve 3*d = d + t for d. 1 Suppose 0 = 5*i + 3*z - 51, -5*i + 5*z = -18 - 57. Let y(k) = -k**3 - 5*k**2 + 7*k + 7. Let n be y(-6). Suppose s - 2 - n = 0. Solve 3*d = -s - i for d. -5 Let k(s) = 2*s + 14. Let j be k(-5). Suppose 72 = 4*n - n. Suppose -9 + n = 3*a. Solve -3 - a = j*b for b. -2 Let s(d) = -2*d. Let o be s(2). Let l = o + 4. Let m = l - -5. Solve 3*w - m*w - 4 = 0 for w. -2 Let z(p) = p**2 - 3*p - 4. Let w be z(4). Let l = w + 14. Solve 0 = 5*t + l + 6 for t. -4 Let s = -23 + 38. Suppose -l - s = -6*l. Solve -l = -2*n + n for n. 3 Let w be (-150)/22 + 10/(-55). Let x = w + 7. Solve 3 + x = 3*u for u. 1 Suppose -3*m + 3*s + 6 = 0, 3*m - 2*s = 6 - 0. Let a(h) = 4*h**2 - 3*h. Let g be a(m). Let y = 20 - g. Solve 0*d = -5*d - y for d. -2 Let t(l) = -l**2 + l + 1. Let s(g) = 6*g**2 - 9*g - 5. Let u(d) = s(d) + 4*t(d). Let a be u(3). Solve -a*v + 2 - 8 = 0 for v. -3 Suppose 5*t + 5*p = 3*t + 6, 0 = 2*p. Solve t*l = 2*l + 4 for l. 4 Suppose 2*v - 14*v = -60. Let h(c) = -4 + 3 + 2*c - c. Let z be h(v). Solve z*y = -1 - 11 for y. -3 Let h(k) = -k + 33. Let s be h(9). Solve 0 = 4*w + 4 - s for w. 5 Suppose -w + 15 = 2*w. Solve 8 - 3 = w*h for h. 1 Let y = -9 + 12. Solve 0 = -y*f + 13 - 1 for f. 4 Let b(l) = l**2 + 6*l - 4. Let c be b(-7). Let y(v) = v - 6 - c - 9*v + v**3 + 5*v**2. Let p be y(-6). Solve -p*x + 3 = -0 for x. 1 Let x(b) = -b**2 + 5*b - 1. Let g be x(4). Suppose 3*l = -g*s + 9 + 6, -2*s + 30 = 4*l. Solve -6*h + h = l for h. -2 Let f be 106/(-13) + (-4)/(-26). Let i be 222/24 + (-6)/f. Solve i = -3*g - 2*g for g. -2 Let t(w) = -w**3 - 2*w**2 - 2*w + 2. Let q be t(-2). Suppose 4*b = 5*b - q. Solve 4 = -b*n + 2*n for n. -1 Let c(l) = l**3 - 10*l**2 - 11*l + 6. Let i be c(11). Let g be 27 + 3/(i/(-4)). Solve 5*d = -0*d + g for d. 5 Suppose -2*i - 2 = -6. Suppose -3*o - 3*x = 2*o - 11, 5*o - 9 = -i*x. Solve 0 = 5*c + o + 14 for c. -3 Let m(q) = -7*q**3 - 2*q**2 + 5*q - 12. Let h(g) = -20*g**3 - 7*g**2 + 14*g - 35. Let v(j) = 6*h(j) - 17*m(j). Let d be v(-8). Solve 0 = -0*k - d*k + 6 for k. 3 Let q be (6/7)/((-33)/(-154)). Solve -q*x + 12 = -4 for x. 4 Let z = 72 + -67. Solve -z*m - 4 - 16 = 0 for m. -4 Let q = -12 + 6. Let i be (-33)/q + (-3)/2. Solve i*a - 2*a + 6 = 0 for a. -3 Let c be 2*(-2)/(-2) + 0. Suppose 3 = c*h - 3. Solve 5 = 8*x - h*x for x. 1 Let v(w) = -w**2 - 10*w + 8. Let d(a) = a**2 + 11*a - 8. Let c(k) = 4*d(k) + 5*v(k). Suppose 3*j = -j - 28. Let n be c(j). Solve -n = h + 1 for h. -2 Let u(d) = -d - 3*d**3 + 3*d**2 - 4 + 3*d**3 - d**3. Let b be u(3). Let j(p) = -2*p - 10. Let c be j(b). Solve -1 = 3*o - c for o. 1 Suppose -n + 2*z = -10, 0*z + z = -3*n + 2. Let a be ((-114)/(-24) - 4)*4. Solve -n*f - f + a = 0 for f. 1 Let h be (1/2)/(2/4). Solve -2*j = -3*j + h for j. 1 Suppose -13 = -3*t - 5*v, -35 = -9*t + 4*t + 5*v. Suppose -3*s + 9 = -4*k, -k + t*s - s = 15. Solve k = 2*a - 1 - 1 for a. 1 Suppose 4*s = -k - 5, 3*k - s = -5*s + 9. Solve 5*n - k = 8 for n. 3 Let y(q) = -8*q + 1. Let s be y(1). Let l = s - -14. Solve 4*n - 3 = l*n for n. -1 Let i(j) = -j**3 + 4*j**2 + 5*j + 5. Let g be i(5). Let m be 12/2 - (-1 + 1). Suppose -25 = 5*b, -z - m = -5*z - 2*b. Solve g*t = z + 1 for t. 1 Let d be (-1 - (-3)/(-6))*(-12)/9. Solve -d*y + 15 = y for y. 5 Let v(l) = -l**3 + l**2 - l. Let x be v(0). Solve 0*a - 2*a = x for a. 0 Suppose -b - 2 + 4 = -f, 14 = b + 2*f. Let z be 2/b - (-33)/9. Solve z*m - 1 = -21 for m. -5 Suppose 0*v = -2*v + 14. Suppose -5*o = -2*i - 22, 3*o = v*o - 2*i - 18. Solve 0 = 2*j + o for j. -2 Let n = 6 + -8. Let y be (3 - (n + 0)) + -3. Let l be 40/y*5/4. Solve 0*f = -5*f - l for f. -5 Suppose 7*k = 3*k. Solve -u - 4 = -k for u. -4 Let r(c) = -c**3 + 6*c**2 - 7*c + 12. Let i = -19 - -24. Let o be r(i). Solve 4 = -o*f - 2*f for f. -1 Suppose 14 = 4*y - 3*d - 5, 0 = -3*y - 5*d + 7. Solve -2*z = -z - y for z. 4 Suppose -5 = a - 9. Solve a*p = 10 + 2 for p. 3 Suppose 21 = 5*m + 1. Suppose -3*t = -2*t. Solve t*a + m = a for a. 4 Suppose 0 = -3*n, -4*q - n = q - 60. Solve -q*d = -7*d + 25 for d. -5 Let v = -18 + 19. Solve 2*s - 1 = v for s. 1 Suppose 5 = w - 5*q, q = w - 2*w - 1. Solve 3*x - 3 = -w for x. 1 Let j be -3*1 - (2 + -5). Let k be j + (-3 + 13 - 1). Solve 0 = 2*p - 5*p + k for p. 3 Let a(u) = -13*u - 5. Let w(l) = -56 - 28*l - 22*l - 94*l. Let t(i) = 56*a(i) - 5*w(i). Let f be t(-2). Solve 3*o + f = -o for o. -4 Suppose 4*g + 5*m + 20 = 0, -4*m + 2*m = 0. Let l be (-12)/15*g/2. Solve 3*z = l*z + 5 for z. 5 Let x be (2/5)/((-3)/(-60)). Solve y - x = -y for y. 4 Let m(u) = u**3 - 7*u**2 + 8*u - 4. Let y be m(6). Suppose -4*d = y, -2*d = -w - d + 6. Suppose -2*f + 24 - w = 0. Solve -g - 4*g + f = 0 for g. 2 Suppose 66 = f - 12*f. Let x(n) be the first derivative of n**3/3 + 3*n**2 - 1. Let o be x(f). Solve -2*m - 4 + 0 = o for m. -
{ "pile_set_name": "DM Mathematics" }
54 - -454. Let z(a) = a**3 + 2*a + 6. Give z(j). 6 Suppose -2*q + 5 = -1. Suppose i + q*i = 28. Let t(c) = i*c - 2 - 2 - 5*c. Determine t(5). 6 Let r(t) be the second derivative of 0 + 0*t**3 - t - 1/2*t**2 + 1/4*t**4. Suppose 0 = 2*x - 8, 2*j - x + 2*x = 2. Give r(j). 2 Let n(m) = m**2 - 2*m + 3. Suppose 5*w + 3*o = o + 6, 3*w = -3*o. Determine n(w). 3 Let b(i) be the first derivative of -i**6/360 - 11*i**5/120 - 3*i**4/8 + 11*i**3/3 + 7. Let n(k) be the third derivative of b(k). What is n(-6)? 21 Suppose 5*y - 19 - 1 = -4*b, 15 = -y + 3*b. Let s(x) = x**3 - x**2 - x + 14. Give s(y). 14 Let d(x) = 2 - x**2 - 5 - 15*x + 14*x. Let r(b) = b**2 + b + 3. Let u(h) = 3*d(h) + 2*r(h). Determine u(0). -3 Let r(k) be the third derivative of -5*k**2 + 0*k**3 - 1/240*k**6 + 0 + 1/8*k**4 - 1/120*k**5 + 0*k. Let h(b) be the second derivative of r(b). Calculate h(-4). 11 Let o(u) be the second derivative of 5*u**3/6 + 2*u**2 - 61*u. Determine o(-2). -6 Let u(s) = s**2 - 35*s + 30. Let r be u(34). Let j(d) = d**3 + 3*d**2 - 5*d - 5. Calculate j(r). -1 Let k = 4 - 3. Let a = 70 + -76. Let j = a + k. Let n(c) = c**2 + 5*c - 4. Give n(j). -4 Suppose -2*o - 18 = 4*p, 3*o = -o + 4*p. Let a(u) = 3*u**2 + u. Calculate a(o). 24 Let c(l) = -3*l - 2*l - 2*l**3 + 4*l + 3*l**3 + 12. Let q = -50 - -115. Let o = -65 + q. What is c(o)? 12 Let o(t) = 2*t**2 + 21*t - 13. Let i be o(-11). Let v(z) = -z**3 - 2*z**2 - 2*z - 1. Calculate v(i). 3 Let u(t) = -t**3 - 8*t**2 - 8*t + 1. Let h(i) = -118*i - 22. Let p be h(-7). Let l be 4/9 + p/(-108). Determine u(l). 8 Let r be 96/56 + 2/7. Suppose -3*o - 1 = -r*g, 3*g - 8 = -2*o + 13. Let j(p) = g*p - 2*p - 5*p + p - 4. Determine j(-6). 2 Let p(o) = -o**3 + o**2 + 1. Let s(f) be the third derivative of -f**6/24 + f**5/30 - f**4/8 + f**3/6 - 10*f**2. Let t(c) = 4*p(c) - s(c). Calculate t(-2). -3 Suppose d - 2*d - 5 = 0. Let l(o) = 1. Suppose -24 = -8*z + 8. Let g(p) = 2*p + 8. Let a(r) = z*l(r) - g(r). Give a(d). 6 Let x(f) = 4*f**2 + f - 2. Let k(g) = 7*g**3 + 2*g**2 + g - 4. Let j(n) = 3*n**3 + n**2 - 2. Let m(a) = 5*j(a) - 2*k(a). Let s be m(0). What is x(s)? 12 Let v = -6 + 4. Let n(f) = -2*f**2 + 6*f + 4. Let z = 37 - 48. Let m(q) = 4*q**2 - 11*q - 7. Let y(w) = z*n(w) - 6*m(w). What is y(v)? -10 Let p(v) = 21*v - 12. Let u be p(1). Let z(y) = -3*y + 8. Determine z(u). -19 Let p(u) = 6*u + 17*u + u**2 + 3 - 13*u + 6. What is p(-8)? -7 Let x(g) be the first derivative of -g**6/360 - g**5/12 + 11*g**4/24 + 6*g**3 + 22. Let c(r) be the third derivative of x(r). Calculate c(-11). 0 Let m(b) = -4*b + 11. Let a(c) = -2*c + 11. Let l(i) = -4*a(i) + 3*m(i). Calculate l(-5). 9 Let g(d) = 69*d**3 - 20*d**2 + 9*d - 13. Let y(f) = -35*f**3 + 11*f**2 - 5*f + 7. Let s(i) = 6*g(i) + 11*y(i). Give s(-1). -28 Suppose 2*u = -3*a - 4, -4 = -2*u - 2*u. Let b(l) = 3*l + 1. Give b(a). -5 Let w(c) = -28 - 2 + 31 + 15 + c. What is w(-15)? 1 Let z(u) = -u**2 + 1. Let j(h) = 9*h - 18*h - 2*h**3 + 3*h**3 - 3*h**2 + 16*h**2 - 9. Let v(p) = j(p) + 5*z(p). Calculate v(-9). -4 Let u = -11 - -18. Let i(o) be the third derivative of -o**4/24 - 5*o**3/6 + 15*o**2. What is i(u)? -12 Let p(m) = 2*m - m**2 + 6*m - m - 4 + 2*m**2 + 9. Suppose i - 4*k = -k - 9, 0 = 5*i + 5*k - 15. Suppose -l + i = 4. Give p(l). -7 Let p = -16 + 8. Let f(v) = -v. Let c be f(p). Let o(b) = b**2 - 2 + c*b + 3 + 4 + 5. What is o(-7)? 3 Let w(s) = 0 - 1896*s - 1897*s + 1 + 3792*s. Suppose 3*o = 8 + 7. What is w(o)? -4 Let v(k) = 3*k - 9. Suppose r + 12*r - 52 = 0. Give v(r). 3 Let z(f) be the third derivative of -f**4/12 + f**3/6 - 18*f**2. Suppose 14 = 2*b - 2*d, -3*d = 2*b + d - 8. What is z(b)? -11 Let m(q) = -q**3 + 4*q**2 + 4*q + 2. Let b(p) = -p + 15. Suppose -6*u + 4*u = -22. Let k be b(u). Suppose -14 = -k*l + 6. Determine m(l). -3 Suppose -1 = -2*y - 13. Suppose 2*q - 38 + 0 = -4*a, 3*q - 4*a - 7 = 0. Let c(v) = 23 - q - 12 + 5*v**2 + v**3 - 7*v. Calculate c(y). 8 Let p(t) = t**2 - 28*t - 65. Let i be p(30). Let j(h) = h + 3. Determine j(i). -2 Let c(b) = b**2 + 7*b + 1. Let r = 216 - 221. Calculate c(r). -9 Let n(h) = -11 + 25 + h - 12. Let y be n(4). Let i(p) be the third derivative of -p**6/120 + p**5/12 + p**4/4 + p**3/6 + 2*p**2. Give i(y). 1 Let b(w) = 14*w - 2. Let t(p) = 2*p**2 + 25*p - 16. Let s be t(-13). Calculate b(s). -44 Let q(m) = -m - 10. Let d be q(-5). Let j be (-6 - d)*(-1 - 1). Let z(y) = -y**3 + y**2 + y. Give z(j). -2 Let v(a) be the third derivative of a**5/60 - a**4/24 - 11*a**3/3 + 53*a**2. Give v(0). -22 Let f(a) be the third derivative of -a**5/60 - 13*a**4/24 - 15*a**3/2 - 7*a**2 + 2. Calculate f(-7). -3 Let q(z) = 1 + 5 - z + 8 + 1. Let l be q(9). Let m(h) = 3*h**3 - 7*h**2 - 3*h. Let a(t) = 10*t**3 - 22*t**2 - 8*t. Let s(g) = -2*a(g) + 7*m(g). Give s(l). 6 Let p be 104/78*(-135)/(-20). Let x(g) be the first derivative of 9/2*g**2 - g - p. Calculate x(-1). -10 Let f(i) = -i**2 - 2*i. Suppose 2*h = -h + 4*h. Determine f(h). 0 Let u(j) = -j**3 + 8*j + 28 - 50 - 4*j**2 + 35. Let a be u(-5). Let k(s) = -6*s**2 - s - 2. Let p(f) = 13*f**2 + f + 4. Let g(x) = -7*k(x) - 3*p(x). Give g(a). 6 Let a = 27 + -27. Suppose -2*y - 6*y - 56 = a. Let n(h) = -2*h - 10. What is n(y)? 4 Let y(v) be the third derivative of -1/40*v**6 + 0*v**4 + 7*v**2 + 0*v + 1/60*v**5 + 0*v**3 + 0. Determine y(1). -2 Let h(k) = -k + 5. Let y = 59 - 34. Suppose 2*s + 5*q + y = 0, 0 = -5*s - 2*q - 0*q - 31. Calculate h(s). 10 Let j(s) be the third derivative of 1/60*s**5 + 2*s**2 + 1/3*s**4 + 7/6*s**3 + 0 + 0*s. What is j(-5)? -8 Let j(l) be the third derivative of l**6/120 + 2*l**5/15 - 11*l**4/24 - 8*l**3/3 - 11*l**2. Let k be j(-9). Let a(s) = s**2 + 2*s + 1. Give a(k). 9 Let z(u) be the third derivative of -u**4/6 + u**3/3 - 22*u**2. Suppose 4*x = 10 - 6. Let n be x/(-2 - 7/(-3)). Calculate z(n). -10 Suppose 20 = 4*q + 5*l, 8 = -3*q - l + 3*l. Let v(p) = -p + 9. What is v(q)? 9 Let z(d) be the second derivative of d**4/12 + 2*d**3/3 - 3*d**2 + 11*d - 187. Suppose -2*w + 3*w + 7 = 0. What is z(w)? 15 Let y(c) = -c**3 - 21*c**2 + 41*c - 109. Let d be y(-23). Let z(u) = -u**2 + 1 + 7*u + 4 - 2. Determine z(d). 9 Let c(z) = z**2 + z + 8. Let x be 80/(-6)*(-21)/14. Let l = x + -20. Calculate c(l). 8 Let o(g) be the first derivative of g**6/360 + g**5/30 + 14*g**3/3 - 8. Let m(d) be the third derivative of o(d). Determine m(-3). -3 Let p(z) = z**2 + z - 4. Let a be p(4). Let j = -13 + a. Let r(k) = -3 + 4 + 3*k + j*k - 3*k. Give r(1). 4 Let j(a) be the third derivative of -a**5/60 - a**4/2 + 3*a**3/2 - 252*a**2. Give j(-11). 20 Let z(t) = 7*t**2 + t. Let j(n) = -n**3 - 17*n**2 - n - 1. Let c(w) = -2*j(w) - 5*z(w). Calculate c(-3). -52 Let u(x) = -x**2 - 3*x + 5. Suppose 4*q = 2*q + 4. Let p be ((-4)/3)/(q/(-3)). Suppose 5*t = -5*f - 45, 0 = -f - f + p*t + 2. Calculate u(f). 1 Let o(m) = -m**2 - m + 22. Let h be o(5). Let i(p) = p**3 + 8*p**2 + 2*p + 5. Calculate i(h). -11 Suppose 4*f - p - 2*p = -4, 3*f = -4*p + 22. Let i(w) be the second derivative of -1/2*w**2 + f*w + 1/6*w**3 + 0. What is i(5)? 4 Suppose y - 4*g - g = 12, -5*y - 3*g + 32 = 0. Let c(s) = -s - 4 - 2 - s**2 - s + y. Let k be (-1 - -1) + 2*-1. What is c(k)? 1 Let m(p) = -5*p. Let u(f) = -3*f + 2. Let g(d) = -5*d + 5. Let v(o) = -2*g(o) + 5*u(o). Let c(r) = 5*m(r) - 6*v(r). Determine c(1). 5 Let y(q) be the first derivative of -q**3/3 + 9*q**2/2 - 13*q - 100. Determine y(8). -5 Let m(h) = 41 + 34 + 11*h - 67 + 0*h. Give m(-2). -14 Let o = 791 - 782. Let l(h) = -2*h + 21. Calculate l(o). 3 Let y = 12 - -28. Let h = y - 33. Let d(s) = -2*s + 1. Calculate d(h). -13 Let p(s) = -3*s**2 + 10*s - 4 - 3*s**2 - s**3 - 4*s**2. Let f = -2382 - -2371. Determine p(f). 7 Let i(a) = -a**2 - 7*a + 10. Let g be (-102)/7 + 7 + (-3)/7. Determine i(g). 2 Let h(r) = -9*r**3 - 12*r**2 - 5*r - 27. Let i(w) = 13*w**3 + 18*w**2 + 8*w + 39. Let t(o) = -7*h(o) - 5*i(o). Determine t(-4). 46 Let j = 1056 - 1052. Let o(k) = -k. Let u(v) = -v**2 + 2*v - 6. Let y(z) = -4*o(z) + u(z). Calculate y(j). 2 Let l(h) = h**2 + h - 3. Let z be (-380)/57 - (-2)/3. Give l(z). 27 Suppose 15*j + 37 = -53. Let g(d) = -d - 4. What is g(j)? 2 Let o(k) = k + 4. Let s be o(-21). Let c = -17 - s. Let z(v) = -v**2 + 7. Calculate z(c). 7 Let r(l) = -6*l**2 - 3*l + 2. Let i =
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when w is divided by (-1 - -14) + l/7? 14 What is the remainder when ((-18)/(-5))/(4/60) is divided by 28? 26 Let h be (-100)/16 + 1/4. Let c(u) = -u**2 - 6*u + 4. Let x be c(h). Suppose x*a - g = 20 + 32, 4*g = -4*a + 72. What is the remainder when 25 is divided by a? 11 Let z = 127 - 116. Suppose 0 = -3*y + y + 106. What is the remainder when y is divided by z? 9 Calculate the remainder when (-20)/15*(-708)/8 is divided by 11. 8 Suppose 107 = 5*b + 22. Calculate the remainder when 48 is divided by b. 14 Let n(m) = -m**3 - 6*m**2 - 8*m - 3. Let z = 3 - 3. Let j = -5 - z. Calculate the remainder when 34 is divided by n(j). 10 Suppose 4*b = 5 + 27. What is the remainder when 47 is divided by b? 7 Suppose 0*r + 2*r - 14 = 0. Let f(p) = p**3 + 3*p**2 - 2*p. Let j be f(-4). Let o = j - -11. Calculate the remainder when r is divided by o. 1 Let c(a) = a**3 + 10*a**2 + 4. Let i be c(-10). Let b be 85/15 - i/6. Let p(v) = -v**3 + 6*v**2 - 4*v + 2. What is the remainder when 13 is divided by p(b)? 6 Let x be 0 + 0 + 48 + -1. Suppose -15 = 2*z - 83. Let q = x - z. What is the remainder when q is divided by 5? 3 Let i(t) = 3*t + 6*t + 6 - 3*t + t**2. What is the remainder when i(-9) is divided by 17? 16 Let s = -11 + 37. What is the remainder when s is divided by (8/(-6) - -1)*-27? 8 Let q = -20 + 44. Calculate the remainder when 119 is divided by q. 23 Suppose c + 0*c = -j + 26, c = 3*j + 14. What is the remainder when c is divided by 8? 7 Suppose 3*s - 5*i - 318 = 0, -7*i = 2*s - 3*i - 234. Calculate the remainder when s is divided by 19. 16 Let q(b) = -b**3 - 5*b**2 - 6*b - 6. Let i be q(-4). Suppose i*j = j - 3. Let n(h) = -h**3 - h**2 - 3. What is the remainder when n(j) is divided by 8? 7 Suppose -2*g = 62 - 190. Calculate the remainder when g is divided by 22. 20 Let q = 76 - 48. What is the remainder when q is divided by (-120)/16*(-4)/3? 8 Let x be -1 - 0 - (-2)/2. Let d be (-4)/(-1 + x) - -1. Suppose -d*k + 47 = 7. What is the remainder when k is divided by 3? 2 Suppose a - 5*h = 30, -2*a = -4*h - h - 60. What is the remainder when 89 is divided by a? 29 Suppose 0 = -3*y + 2*y + 4. Suppose 3*x + x - y*k - 8 = 0, -3*k - 10 = -4*x. Suppose -x*a + 1 = -f, -2 = a - 2*a. What is the remainder when 20 is divided by f? 6 Let y = 6 - -24. Let a = -16 + y. Let n(m) = -m**2 - 12*m - 9. Calculate the remainder when n(-6) is divided by a. 13 Suppose 4*h - 6*h + 43 = 5*k, -4*h + 5*k = -131. Calculate the remainder when 114 is divided by h. 27 Suppose 4*m - 4*k - 4 = 0, -m + 0*k + 2*k = 3. Let b = 1 + m. Calculate the remainder when 21 is divided by b. 3 Let b = 7 + 10. Let s = b + -12. What is the remainder when 13 is divided by s? 3 Let g(v) = -2*v - 9. Let t be g(-6). Let l be (-9)/(-4) - 1/4. Suppose -3*m = l*z - 3*z - 7, t*m = -2*z + 13. What is the remainder when 4 is divided by m? 1 Let x(r) = r - r**2 - 4*r**2 + 8 + 4*r**2. Let b(i) = i**2 - 16*i. Let n be b(16). Calculate the remainder when 14 is divided by x(n). 6 Let g = 18 - 37. Let v = -6 - g. What is the remainder when 49 is divided by v? 10 Let b(l) = 3*l**3 - 4*l + 5. Let w be b(2). Let m = -1 + 5. Suppose -z + w = -2*r, 5*z = m*z - r + 24. Calculate the remainder when z is divided by 8. 7 Let c(q) = -q + 5. Calculate the remainder when 11 is divided by c(2). 2 Suppose -3*d + 3 + 3 = 0. Suppose -d*z + 38 = -z. Suppose 0 = -2*x - 8 + 34. What is the remainder when z is divided by x? 12 Suppose f - 3*a = -2*a + 5, 5*f + 2*a = 25. Suppose 3*y - 4*d = 57, 3*y - 2*d = d + 60. Calculate the remainder when y is divided by 6*2 - (f + -5). 11 Let q = 1 + 19. Let l = q + -7. Suppose -22 - 2 = -n. Calculate the remainder when n is divided by l. 11 Suppose 12 = -3*a - 2*r + r, 3*a + 5*r + 24 = 0. What is the remainder when 8 is divided by 1*(0 + a/(-1))? 2 Let c = 303 - 191. What is the remainder when c is divided by 6? 4 Let a = -1 - -5. Suppose -2*l - i + 4 = 0, 15 = 3*l - i + a. What is the remainder when 8 is divided by l? 2 Let s be 7/2 - 4/(-8). Suppose -64 = -4*u - 6*x + s*x, 0 = -3*u + 4*x + 48. Calculate the remainder when (-6)/2*(-58)/6 is divided by u. 13 Let z(x) = x**3 - 8*x**2 - 9*x + 4. Calculate the remainder when 10 is divided by z(9). 2 Let q(n) = 14*n**2 + 5*n + 2. Let j be q(-3). Suppose -5*a + j = 23. What is the remainder when a is divided by (-12)/16 + 1 + (-39)/(-4)? 8 Let p(c) = c**3 + 5*c**2 - 6*c + 2. Let q be p(-6). Suppose -2*m = q*m - 68. What is the remainder when m is divided by 5? 2 Suppose 6*v - 2*t = v + 52, 0 = 5*t + 5. Calculate the remainder when 12 is divided by v. 2 Suppose i - 85 = -4*i. Let j be (-3 - -3)/(1*2). Let k = i + j. What is the remainder when k is divided by 9? 8 Suppose 5*y - 4 - 26 = 0. Let n(d) = 6*d**2 - 7*d**3 + d**3 - 1 + 5*d + 7*d**3. Calculate the remainder when n(-4) is divided by y. 5 Suppose -2*t + 5*t - u = 19, -5*u = -5*t + 35. Calculate the remainder when 15 is divided by t. 3 Suppose -63*r + 85 = -46*r. Let z(n) = n + 6. Let d be z(0). Suppose d*h - h = 85. What is the remainder when h is divided by r? 2 Let d(k) be the third derivative of -k**4/24 + 7*k**3/6 - 3*k**2. Calculate the remainder when 0 - (40 - -1)*-1 is divided by d(-7). 13 Let x(z) = -z**3 - 6*z**2 + 5*z + 7. What is the remainder when 83 is divided by x(-7)? 20 Suppose 277 = 5*q + 4*s, 0*q - 4*q = 5*s - 218. Suppose -2*i + 2*v + 34 = 0, -3*v = i - 2*v - 7. What is the remainder when q is divided by i? 9 Let i = 8 - -18. Let w(j) = j - 1. What is the remainder when i is divided by w(8)? 5 Let a(q) = q**2 - 4*q - 5. Let u(r) = -9*r - 11. Let f be u(-11). Let l be (-4)/14 - f/(-14). What is the remainder when a(l) is divided by 4? 3 What is the remainder when 153 is divided by ((-124)/(-6))/((-12)/(-18))? 29 Let a(x) = 4*x**2 - 1. Let n be -4*(-6)/(-8)*1. What is the remainder when a(n) is divided by (30/(-20))/(1/(-12))? 17 Suppose 4*h - 1 + 5 = 0. Calculate the remainder when 42 is divided by (-6 - -7)*(-9)/h. 6 Calculate the remainder when (-127)/(-5) + 18/30 is divided by 14. 12 Let f(q) = -q + 3. Suppose -y + 393 = 2*y. Suppose -y = -5*z + 14. What is the remainder when z is divided by f(-7)? 9 Let n be (-2)/((-3)/(27/(-2))). Let b = n - -13. Suppose b*x - 3*j = 19 + 49, 0 = x - 3*j - 26. What is the remainder when 25 is divided by x? 11 Suppose 8*t - 7 = -p + 3*t, 5*t = -5*p + 15. What is the remainder when 1 + 4 - (-7 + 10) is divided by p? 0 Suppose 46 = m + 3. Let j(i) = i**3 + 9*i**2 + 5*i - 13. Calculate the remainder when m is divided by j(-8). 10 Suppose 0 = -m - 2 + 10. Suppose -m*l = -3*l - 75. What is the remainder when 42 is divided by l? 12 Let x(q) = -q**3 + 8*q**2 - 2*q - 10. Suppose -1 + 3 = 2*g. Calculate the remainder when x(7) is divided by g*(4 + -2) - -7. 7 Suppose -4*w + d + 5 = -2, 4*d = 3*w - 15. Calculate the remainder when ((1 + 22)*1)/w is divided by 6. 5 Let g = 21 + -11. Suppose -4*b = 4*c - 20, -5*b + 7 + 2 = -3*c. Suppose -c*r + r - 2*j = -26, -12 = -3*j. What is the remainder when r is divided by g? 8 Let h(s) = -s**2 + 10*s + 1. Suppose 0 = 4*z - 50 - 34. Let w = -2 + z. Calculate the remainder when w is divided by h(9). 9 Let b(x) = x**2 - 6*x - 4. Calculate the remainder when 141 is divided by b(-4). 33 Let m = 105 + -11. What is the remainder when m is divided by 32? 30 Let l(i) = 13*i - 6. Let d(k) = -12*k + 5. Let g(o) = 4*d(o) + 3*l(o). What is the remainder when g(-4) is divided by 13? 12 Suppose -2*n - 107 = -5*h, 5*n = -2*h + 18 + 19. What is the remainder when 33 is divided by h? 12 Let d(z) = 4*z + 3. Suppose 4*s = -p - 0*p + 6, -3*p = 6. Suppose s*h + h = -l + 8, -5*h = l - 10. Calculate the remainder when d(l) is divided by 12. 11 Let x(c) = c + 5. Let i be x(-3). Suppose 6*z = i*z + 68. Suppose 4*b = z - 5. What is the remainder when 7 is divided by b? 1 Let h(i) be the first derivative of 11*i**3/3 + i**2/2 + 4. Calculate the remainder when 14*(-3)/(-2)*1 is divided by h(1). 9 Let n(l) = -l + 8. Let u = -5 - 4. What is the remainder when 48 is divided by n(u)? 14 Suppose 0*g + 12*g = 96. What is the remainder when 53 is divided by g? 5 Suppose -c - 2*o - 32 = -2*c, -15 = 5*o. What is the remainder when c is divided by 7? 5 Suppose 5*b = 395 - 40. Let o(z) = -25*z - 1. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
- 96 = 0. What is l? 2/7, 8/5 Let -2*q**3 + 28*q**2 - 58*q - 88 = 0. What is q? -1, 4, 11 Determine p so that p**5/3 - 8*p**4/3 - 10*p**3/3 + 140*p**2/3 - 37*p - 84 = 0. -4, -1, 3, 7 Factor 5*n**3 + 205*n**2 + 1075*n + 875. 5*(n + 1)*(n + 5)*(n + 35) Suppose p**2 + 744*p + 138384 = 0. Calculate p. -372 Determine k, given that -2*k**2/9 + 16*k/3 - 46/9 = 0. 1, 23 Suppose h**3/10 - 16*h**2/5 - 67*h/10 - 17/5 = 0. Calculate h. -1, 34 Determine y so that 750*y**5/7 + 850*y**4/7 - 390*y**3/7 - 338*y**2/7 + 144*y/7 - 8/7 = 0. -1, 1/15, 2/5 Factor -2*o**3/9 + 212*o**2/9 - 4130*o/9 - 27848/3. -2*(o - 59)**2*(o + 12)/9 Determine w so that 2*w**5/11 - 74*w**4/11 + 788*w**3/11 - 1940*w**2/11 + 1802*w/11 - 578/11 = 0. 1, 17 Factor 4*v**2/7 + 20*v/7 + 24/7. 4*(v + 2)*(v + 3)/7 Find k such that -2*k**3/7 - 156*k**2/7 - 4056*k/7 - 35152/7 = 0. -26 Let -6*r**2/11 - 648*r - 192456 = 0. Calculate r. -594 Factor t**4/4 + 19*t**3/2 - 30*t**2 + 61*t/2 - 41/4. (t - 1)**3*(t + 41)/4 Factor v**2/6 - 145*v/6 + 24. (v - 144)*(v - 1)/6 Factor 2*v**2/5 - 78*v/5 + 56. 2*(v - 35)*(v - 4)/5 What is a in 2*a**3/3 + 8*a**2 + 24*a + 64/3 = 0? -8, -2 Find x, given that 2*x**5 - 6*x**4 - 16*x**3 + 24*x**2 + 32*x = 0. -2, -1, 0, 2, 4 Determine g so that -g**4 + 33*g**3 + 143*g**2 + 183*g + 74 = 0. -2, -1, 37 Factor 10*o**2 + 215*o + 105. 5*(o + 21)*(2*o + 1) Factor -z**3 - 10*z**2/3 + 3*z + 4/3. -(z - 1)*(z + 4)*(3*z + 1)/3 Factor 4*r**2 - 336*r + 7056. 4*(r - 42)**2 Let -g**2 - 6968*g - 12138256 = 0. What is g? -3484 Find h, given that -3*h**5 + 9*h**4 + 183*h**3 - 189*h**2 = 0. -7, 0, 1, 9 Factor 4*l**2 + 26592*l + 44195904. 4*(l + 3324)**2 Find f such that -f**2 - 68*f - 1156 = 0. -34 Solve -4*a**3 - 6280*a**2 + 12572*a - 6288 = 0 for a. -1572, 1 Factor 2*j**4/9 - 2*j**3/3 - 6*j**2 + 30*j - 36. 2*(j - 3)**3*(j + 6)/9 Solve -15*a**4 + 470*a**3 - 3515*a**2 - 2720*a + 1280 = 0 for a. -1, 1/3, 16 What is n in 4*n**3 + 248*n**2 - 1660*n - 1904 = 0? -68, -1, 7 Solve -s**5 + 11*s**4 + 33*s**3 - 71*s**2 - 248*s - 156 = 0 for s. -2, -1, 3, 13 Factor -4*p**5 - 48*p**4 - 84*p**3 + 392*p**2. -4*p**2*(p - 2)*(p + 7)**2 Factor j**3/3 - 77*j**2/3 - 161*j/3 + 79. (j - 79)*(j - 1)*(j + 3)/3 Factor 4*h**2 + 68*h. 4*h*(h + 17) Factor 64*f**5/3 - 1456*f**4 + 75073*f**3/3 - 6188*f**2 + 1156*f/3. f*(f - 34)**2*(8*f - 1)**2/3 Determine a, given that 3*a**3/5 - 3*a**2 + 18*a/5 = 0. 0, 2, 3 Factor u**2/2 - 49*u. u*(u - 98)/2 Let -3*d**5/4 + 117*d**4/2 - 1251*d**3 + 8547*d**2/2 - 12321*d/4 = 0. What is d? 0, 1, 3, 37 Factor -324*q**3 + 24156*q**2 + 10784*q + 1200. -4*(q - 75)*(9*q + 2)**2 Find w such that 2*w**2/7 - 243*w/7 + 121/7 = 0. 1/2, 121 Factor 24*v**4 + 195*v**3 - 450*v**2. 3*v**2*(v + 10)*(8*v - 15) Suppose -2*j**4/9 + 14*j**3/9 + 2*j**2/9 - 14*j/9 = 0. What is j? -1, 0, 1, 7 Factor -3*z**3 + 243*z**2 - 240*z. -3*z*(z - 80)*(z - 1) Let j**5/2 + 48*j**4 + 189*j**3/2 + 47*j**2 = 0. What is j? -94, -1, 0 Suppose 16*p**3/7 + 9036*p**2/7 + 6764*p/7 - 2256/7 = 0. Calculate p. -564, -1, 1/4 Find y, given that 2*y**3 - 3*y**2 - 8*y - 3 = 0. -1, -1/2, 3 Suppose k**2 - 28*k + 196 = 0. Calculate k. 14 Solve -p**3/3 + 780*p**2 = 0 for p. 0, 2340 Factor k**4/6 + 46*k**3/3 + 1075*k**2/6 + 638*k + 474. (k + 1)*(k + 6)**2*(k + 79)/6 Determine a so that -3*a**3 + 24*a**2 + 33*a - 54 = 0. -2, 1, 9 Let 3*h**4/2 - 61*h**3/4 + 101*h**2/2 - 56*h + 8 = 0. Calculate h. 1/6, 2, 4 Find c, given that -2*c**4 - 6*c**3 + 6*c**2 + 22*c + 12 = 0. -3, -1, 2 What is b in 10*b**3/7 + 2066*b**2/7 + 176*b - 824/7 = 0? -206, -1, 2/5 Let u**3/6 + 583*u**2/2 + 339889*u/2 + 198155287/6 = 0. Calculate u. -583 What is j in -5*j**3 - 240*j**2 - 855*j + 1100 = 0? -44, -5, 1 Solve -p**4/4 + 7*p**3/4 + 49*p**2/4 - 55*p/4 = 0 for p. -5, 0, 1, 11 Factor 2*p**3 + 320*p**2 + 1256*p + 1248. 2*(p + 2)**2*(p + 156) Factor -u**5 + 13*u**4 + 2*u**3 - 282*u**2 - 513*u - 243. -(u - 9)**2*(u + 1)**2*(u + 3) Determine a, given that -a**5/3 + 5*a**4/3 - a**3 - 5*a**2/3 + 4*a/3 = 0. -1, 0, 1, 4 Factor -9*w**2 - 518*w. -w*(9*w + 518) Solve -3*y**3 - 35*y**2 - 52*y - 20 = 0 for y. -10, -1, -2/3 Suppose 5*r**3 - 380*r**2 - 2460*r = 0. Calculate r. -6, 0, 82 Factor c**4 + 13*c**3 + 41*c**2 + 47*c + 18. (c + 1)**2*(c + 2)*(c + 9) Determine w, given that -9*w**4 - 246*w**3 - 531*w**2 - 150*w = 0. -25, -2, -1/3, 0 Factor -5*y**3 + 380*y**2 - 2100*y. -5*y*(y - 70)*(y - 6) Determine u so that -4*u**5 - 40*u**4 - 20*u**3 + 160*u**2 + 144*u = 0. -9, -2, -1, 0, 2 Factor 3*t**3 + 24*t**2 - 57*t + 30. 3*(t - 1)**2*(t + 10) Factor -3*o**4 + 1944*o**3 - 415944*o**2 + 28514400*o + 186484176. -3*(o - 218)**3*(o + 6) Let -12*j**3 + 627*j**2 - 768*j + 153 = 0. Calculate j. 1/4, 1, 51 Factor 2*u**2/5 - 12*u/5 + 16/5. 2*(u - 4)*(u - 2)/5 Factor 2*y**2/9 + 68*y/3 + 578. 2*(y + 51)**2/9 Solve 6*i**5 - 14*i**4 - 188*i**3 + 640*i**2 - 192*i = 0. -6, 0, 1/3, 4 Determine i, given that -28*i**4 + 1072*i**3 + 1908*i**2 + 488*i - 320 = 0. -1, 2/7, 40 Let 2*n**2/7 - 218*n/7 - 2124/7 = 0. What is n? -9, 118 Suppose -g**4/10 + 7*g**3/10 - g**2/2 - 7*g/10 + 3/5 = 0. Calculate g. -1, 1, 6 Solve -2*t**3/15 - 4*t**2 - 198*t/5 - 648/5 = 0. -12, -9 Factor z**5/3 - 4*z**4/3 - 8*z**3/3 + 64*z**2/3 - 112*z/3 + 64/3. (z - 2)**4*(z + 4)/3 Suppose -5*i**5 - 10*i**4 + 25*i**3 + 30*i**2 = 0. What is i? -3, -1, 0, 2 Find q such that -2*q**5 + 26*q**4 + 4*q**3 - 564*q**2 - 1026*q - 486 = 0. -3, -1, 9 Factor 2*c**4/7 + 10*c**3/7 + 2*c**2 + 6*c/7. 2*c*(c + 1)**2*(c + 3)/7 Determine g, given that -2*g**3/13 + 1260*g**2/13 - 264600*g/13 + 18522000/13 = 0. 210 Let 3*i**3 - 18*i**2 - 471*i + 990 = 0. Calculate i. -11, 2, 15 Factor o**3/3 - 2*o**2/3 - o/3 + 2/3. (o - 2)*(o - 1)*(o + 1)/3 Solve q**4/6 + 11*q**3/6 + 20*q**2/3 + 8*q = 0 for q. -4, -3, 0 Factor 3*x**4 + 111*x**3 - 477*x**2 + 609*x - 246. 3*(x - 2)*(x - 1)**2*(x + 41) Factor 4*n**3 + 52*n**2 + 92*n + 44. 4*(n + 1)**2*(n + 11) Solve 2*v**2/5 - 1568*v/5 = 0. 0, 784 Let 3*i**3 + 12*i**2 - 165*i + 150 = 0. Calculate i. -10, 1, 5 Factor -n**4 + 11*n**3 - 42*n**2 + 68*n - 40. -(n - 5)*(n - 2)**3 Determine u, given that -u**3/4 - 13*u**2/4 + 295*u/2 - 144 = 0. -32, 1, 18 What is r in -2*r**4/3 + 6*r**3 + 14*r**2 + 22*r/3 = 0? -1, 0, 11 Factor -424*z**5 - 196*z**4 + 8*z**3. -4*z**3*(2*z + 1)*(53*z - 2) Factor 5*t**2/2 - 5*t - 20. 5*(t - 4)*(t + 2)/2 Find a, given that a**2 + 176*a + 7744 = 0. -88 Suppose -j**2/5 - 26*j/5 - 88/5 = 0. Calculate j. -22, -4 Solve x**3/4 - 5*x**2/2 - 53*x/4 - 21/2 = 0 for x. -3, -1, 14 Let 2*a**5 - 12*a**4 - 6*a**3 + 32*a**2 + 24*a = 0. What is a? -1, 0, 2, 6 Factor 2*o**3 - 36*o**2 - 200*o + 528. 2*(o - 22)*(o - 2)*(o + 6) Find i such that -2*i**5/3 + 8*i**4 - 16*i**3/3 - 68*i**2/3 + 6*i + 44/3 = 0. -1, 1, 2, 11 Suppose -v**5/9 - 7*v**4/9 - 5*v**3/3 - 5*v**2/9 + 16*v/9 + 4/3 = 0. What is v? -3, -2, -1, 1 Let 3*p**5/4 + 30*p**4 + 1431*p**3/4 + 2247*p**2/2 - 2355*p - 3150 = 0. Calculate p. -21, -10, -1, 2 What is o in 3*o**2 + 120*o + 228 = 0? -38, -2 Factor -2*o**5 - 1136*o**4 - 215460*o**3 - 13716864*o**2 - 13502538*o. -2*o*(o + 1)*(o + 189)**3 Factor 50*u**2 - 285*u - 90. 5*(u - 6)*(10*u + 3) Let 2*m**5 + 12*m**4 - 6*m**3 - 40*m**2 - 24*m = 0. What is m? -6, -1, 0, 2 Solve 4*n**4 + 16*n**3 - 20*n**2 = 0. -5, 0, 1 Factor 2*s**3/7 + 50*s**2 - 4416*s/7 + 13464/7. 2*(s - 6)**2*(s + 187)/7 Factor -6*b**5 - 26*b**4 - 44*b**3 - 36*b**2 - 14*b - 2. -2*(b + 1)**4*(3*b + 1) Factor 7*n**5 + 23*n**4 + 6*n**3. n**3*(n + 3)*(7*n + 2) Factor -k**2/4 + 3*k + 27. -(k - 18)*(k + 6)/4 Suppose 2*b**2 - 88*b + 968 = 0. What is b? 22 Let 5*j**3 - 100*j**2 - 215*j - 110 = 0. What is j? -1, 22 Solve -3*q**2/5 + 54*q/5 - 27 = 0. 3, 15 Find q such that -2*q**5 + 14*q**4 - 22*q**3 - 38*q**2 + 120*q - 72 = 0. -2, 1, 2, 3 Factor i**2 - 78*i + 1521. (i - 39)**2 What is j in 147*j**4 - 525*j**3 + 264*j**2 - 36*j = 0? 0, 2/7, 3 Find y, given that -y**3/4 - 17*y**2/4 - 37*y/2 - 22 = 0. -11, -4, -2 Factor 5*z**4 - 60*z**3 + 205*z**2 - 150*z. 5*z*(z - 6)*(z - 5)*(z - 1) Factor 4*h**3 + 4*h**2 - 64*h - 64. 4*(h - 4)*(h + 1)*(h + 4) Determine a, given that 4*a**4 + 4864*a**3 + 1478656*a**2 = 0. -608, 0 Factor -v**2/4 + v/2 - 1/4. -(v - 1)**2/4 Find z such that 2*z**4/5 - 2*z**3/5 - 26*z**2/5 + 10*z - 24/5 = 0. -4, 1, 3 What is k in -10*k**3 - 175*k**2 -
{ "pile_set_name": "DM Mathematics" }
grams to nanograms. 1744323000000 What is 18/5 of a gram in milligrams? 3600 How many meters are there in 454547.6 millimeters? 454.5476 How many meters are there in 3/5 of a kilometer? 600 What is 3/5 of a microgram in nanograms? 600 What is 6/5 of a gram in milligrams? 1200 How many years are there in 0.674702 millennia? 674.702 How many millilitres are there in seven halves of a litre? 3500 Convert 735.2977nm to micrometers. 0.7352977 Convert 0.9793491 months to centuries. 0.00081612425 What is 1/5 of a gram in milligrams? 200 What is 1/6 of a hour in seconds? 600 How many milliseconds are there in 3/8 of a minute? 22500 What is 0.075639 millilitres in litres? 0.000075639 What is twenty-five halves of a litre in millilitres? 12500 What is 4/15 of a minute in seconds? 16 What is 7884.137ml in litres? 7.884137 How many nanometers are there in three fifths of a micrometer? 600 What is 7408.402 centimeters in nanometers? 74084020000 What is twenty-five halves of a century in decades? 125 What is fourty-nine quarters of a hour in minutes? 735 How many tonnes are there in 8.022816 nanograms? 0.000000000000008022816 Convert 8476.823 years to centuries. 84.76823 How many meters are there in twenty-one halves of a kilometer? 10500 What is fourty-three quarters of a millisecond in microseconds? 10750 How many kilometers are there in 752835.2mm? 0.7528352 What is fifteen quarters of a day in minutes? 5400 What is 17/2 of a litre in millilitres? 8500 How many micrograms are there in 1/20 of a milligram? 50 What is 0.7070649 nanometers in meters? 0.0000000007070649 How many micrograms are there in 14295.19 kilograms? 14295190000000 What is 97621.8mg in grams? 97.6218 How many millilitres are there in 7363.87 litres? 7363870 How many millilitres are there in 1.155015l? 1155.015 What is 14070.53ug in milligrams? 14.07053 Convert 47.8818ng to tonnes. 0.0000000000000478818 What is 33984.85cm in nanometers? 339848500000 How many micrograms are there in 13/5 of a milligram? 2600 How many decades are there in 11/4 of a millennium? 275 Convert 0.238254 nanometers to kilometers. 0.000000000000238254 How many grams are there in 36204.91 tonnes? 36204910000 What is 40631.48m in millimeters? 40631480 What is 93.76817 kilometers in micrometers? 93768170000 How many nanometers are there in 31/5 of a micrometer? 6200 How many nanograms are there in 726879.6 tonnes? 726879600000000000000 How many decades are there in 0.740094 months? 0.00616745 What is 2/9 of a day in minutes? 320 How many milligrams are there in eighteen fifths of a gram? 3600 What is 65578.18s in milliseconds? 65578180 How many milligrams are there in 0.348794 nanograms? 0.000000348794 What is 3/5 of a meter in centimeters? 60 Convert 39.83522 hours to minutes. 2390.1132 What is fourty-three halves of a meter in millimeters? 21500 Convert 2478.553 millennia to centuries. 24785.53 How many litres are there in 254.5032 millilitres? 0.2545032 What is 31/2 of a gram in milligrams? 15500 How many decades are there in twenty-one halves of a century? 105 What is 18/5 of a hour in seconds? 12960 What is 1/6 of a century in months? 200 What is 27276.58mg in grams? 27.27658 Convert 0.3051222 years to months. 3.6614664 What is 6/5 of a kilometer in meters? 1200 How many centimeters are there in 0.2747163 meters? 27.47163 Convert 4.489779 millennia to months. 53877.348 How many micrometers are there in fourty-nine quarters of a millimeter? 12250 Convert 0.7801678ml to litres. 0.0007801678 How many milligrams are there in 2303.94 nanograms? 0.00230394 What is 1/5 of a litre in millilitres? 200 How many micrograms are there in twenty-one halves of a milligram? 10500 How many decades are there in 0.2056321 millennia? 20.56321 What is one quarter of a litre in millilitres? 250 What is 3/5 of a minute in seconds? 36 Convert 9629.835 centuries to decades. 96298.35 How many millilitres are there in 5/4 of a litre? 1250 What is 27088.66 micrometers in centimeters? 2.708866 How many decades are there in 43/2 of a millennium? 2150 How many nanograms are there in 4.086262 micrograms? 4086.262 What is 55/6 of a decade in months? 1100 How many millimeters are there in nineteen quarters of a meter? 4750 What is fourty-three halves of a millisecond in microseconds? 21500 How many millilitres are there in 979.9163l? 979916.3 What is 11/2 of a century in decades? 55 How many millilitres are there in 833.9377 litres? 833937.7 How many minutes are there in 5/4 of a week? 12600 What is 511276.1 years in millennia? 511.2761 How many micrometers are there in fifteen quarters of a millimeter? 3750 What is 7/4 of a litre in millilitres? 1750 What is 8283.65 kilograms in tonnes? 8.28365 What is five quarters of a minute in seconds? 75 What is 1/5 of a kilogram in grams? 200 How many millilitres are there in one quarter of a litre? 250 Convert 69961.62l to millilitres. 69961620 What is 6.1233498us in hours? 0.0000000017009305 Convert 73757.646 nanoseconds to hours. 0.000000020488235 What is 3/5 of a litre in millilitres? 600 How many centuries are there in 447.6986 decades? 44.76986 What is 39.79942us in nanoseconds? 39799.42 How many micrometers are there in 31/5 of a millimeter? 6200 How many centimeters are there in 0.5659245 millimeters? 0.05659245 How many months are there in 3/5 of a century? 720 What is 6.718132g in tonnes? 0.000006718132 How many months are there in five sixths of a millennium? 10000 How many centimeters are there in one quarter of a meter? 25 Convert 0.9241028 decades to months. 110.892336 Convert 43079.89ml to litres. 43.07989 What is 637.6154us in seconds? 0.0006376154 What is 1/4 of a decade in months? 30 How many micrograms are there in 617.0986ng? 0.6170986 What is 0.1047179 years in millennia? 0.0001047179 What is five eighths of a millimeter in micrometers? 625 How many minutes are there in 1/63 of a week? 160 Convert 5220.918 millilitres to litres. 5.220918 How many millimeters are there in 3.430333 centimeters? 34.30333 What is 3/8 of a microgram in nanograms? 375 Convert 704108.3 micrograms to tonnes. 0.0000007041083 What is seven quarters of a second in milliseconds? 1750 What is six fifths of a litre in millilitres? 1200 What is 4595.807 microseconds in nanoseconds? 4595807 What is 3195.815l in millilitres? 3195815 How many centimeters are there in 17.75562 meters? 1775.562 What is 529.4498 millennia in years? 529449.8 How many seconds are there in 23/6 of a hour? 13800 How many millilitres are there in 71/4 of a litre? 17750 Convert 2871.7635 months to centuries. 2.39313625 Convert 617.4711 millennia to decades. 61747.11 How many centuries are there in 48.4166 decades? 4.84166 What is 524.3369 centuries in months? 629204.28 How many centuries are there in 1.1202087 months? 0.00093350725 Convert 6909.333 millilitres to litres. 6.909333 How many meters are there in 1/5 of a kilometer? 200 Convert 8190.722t to micrograms. 8190722000000000 What is three fifths of a tonne in kilograms? 600 How many millilitres are there in one quarter of a litre? 250 How many minutes are there in 23/6 of a hour? 230 What is twenty-nine thirds of a day in hours? 232 What is 13/5 of a litre in millilitres? 2600 What is 98.1116 microseconds in nanoseconds? 98111.6 How many nanograms are there in 0.0879527 micrograms? 87.9527 What is three eighths of a litre in millilitres? 375 Convert 356.7381 millennia to months. 4280857.2 Convert 104.5813 days to hours. 2509.9512 What is 8777.07ml in litres? 8.77707 How many millilitres are there in 34.22419l? 34224.19 What is 5.05386ug in kilograms? 0.00000000505386 What is 0.8873207 years in decades? 0.08873207 How many nanometers are there in 870.517 meters? 870517000000 What is 3/32 of a day in seconds? 8100 How many grams are there in twenty-one fifths of a kilogram? 4200 What is 73/5 of a microgram in nanograms? 14600 How many months are there in 2422.75 decades? 290730 What is 8092.744nm in kilometers? 0.000000008092744 Convert 25.4507l to millilitres. 25450.7 How many millimeters are there in eighty-seven halves of a meter? 43500 What is 6/5 of a century in years? 120 What is 11477.02 milliseconds in nanoseconds? 11477020000 What is 3/8 of a decade in months? 45 Convert 97.28
{ "pile_set_name": "DM Mathematics" }
*r + 3*d - 15*d + 40 for r. 4 Solve -5*j + 59 = -4*i + 54, -2*j + 5*i + 19 = 0 for j. -3 Solve -4*o + 30 = -7*s, 4*s + 15*o + 4 = 14*o for s. -2 Solve c - 428 = -2*n - 435, -5*n - 3*c - 20 = 0 for n. -1 Solve 3*c - 33 - 26 = -5*m, -4*m = 2*c - 46 for c. 3 Solve 53 = 9*t - 2*j, 2005*j - 3 = -3*t + 2002*j for t. 5 Solve -12 = 3*i + 89*d - 92*d, 4*i + 19 = 5*d for i. -1 Solve 0 = 2*g - 8, -4609 = j - 4*g - 4595 for j. 2 Solve -o + 3*x = -33, -3*o + 4*x = 17 - 91 for o. 18 Solve -5*j + 2187*o + 18 = 2186*o, -3*j + 8 = -2*o for j. 4 Solve -30*n + 7*k - 105 = -25*n, 2*n + k = -61 for n. -28 Solve 0 = 2*y - 4*c + 28 + 2, 4*c = -2*y + 50 for y. 5 Solve -13*s - 6 = -14*s + p, -s - 3*p - 18 = 0 for s. 0 Solve 2*w = 4*z - 28, 4*w - 44 = 8*w - 2*z for w. -10 Solve -u = -2*x - 1292 + 1253, -51 = 2*x + 3*u for x. -21 Solve -80*n = -84*n - 2*a - 26, 4*a = -n - 17 for n. -5 Solve 8 = 2*l, -2*j - 5*l + 3 + 17 = 0 for j. 0 Solve 4*r + 34 = 2*a, 0 = 2*r - 5*a + 519 - 482 for r. -6 Solve 32*c - 3*v = 30*c + 24, 5*v + 39 = 3*c for c. 3 Solve h + 5 = 5*m, -10*m + 9*m = -h - 1 for m. 1 Solve 5*s + 578 = 5*m + 588, 0 = 4*m + 2*s - 16 for m. 2 Solve -4*f + 25993 = 3*r + 25979, -3*r = 2*f - 10 for r. 2 Solve -4*y = 8, 50*f = 29*f + 26*f - 6*y + 13 for f. -5 Solve -6*i - 40 = 5*o, -1374*o + 1378*o + 5*i + 33 = 0 for o. -2 Solve -49 = -3*a - 5*x, 4 = -82*a + 86*a - x for a. 3 Solve -18*v = -9*m + 36, -2*v = 1084*m - 1082*m + 22 for m. -6 Solve -679*b + 675*b = -g - 14, 3*b = 5*g + 2 for g. 2 Solve 4*i - 32 = -1611*c + 1615*c, 0 = 2*i - 4*c - 26 for i. 3 Solve -n = -3*n + 5*n - n + 4, n - 28 = -10*k for k. 3 Solve 3*t - 61 = -5*c, 5*c + 27404*t - 85 = 27399*t for c. 5 Solve -5*n = -5*z - 30, -686 = 5*z + n - 650 for z. -7 Solve 19 = 3*i - 5*d, 4*i - 3*d + 6*d = -6 - 17 for i. -2 Solve -n - 15 = 5*i, 0 = -3*n - 31*i + 26*i - 5 for n. 5 Solve -20 = -2*g + 5*o, -g + 158 - 141 = o for g. 15 Solve -7*i - 2*w - 4 = -9*i, -2*w - 2 = 0 for i. 1 Solve -8*a + 2*n - 6 = -28, -5*n - 11 = 2*a for a. 2 Solve -20 = -4*m - 5*w, -1771*w + 4 = -1770*w for m. 0 Solve 91*c - 78*c - 5*j = -10, 2*j = -5*c + 4 for c. 0 Solve -3*u - 77 = 3*j + u - 29, 5*u = u for j. -16 Solve 18*p + 29 = -5*r + 14*p, -2*p = 4*r + 22 for r. -5 Solve 0 = -5*g - 10, 12*g = 4*q + 14*g - 8 for q. 3 Solve 1 = -p + u, -19*p + 24*p = 3*u + 1 for p. 2 Solve 167*x = 4*n + 164*x + 1, -5*n - 5 = -5*x for n. 2 Solve 16*r = t + 160, r + 111*t + 50 = 6*r + 106*t for r. 10 Solve -2*z = -9 + 13, v - 4*z - 23 = 0 for v. 15 Solve -x + 5*p + 4 = 2*x - 31, 18*p - 1 = 19*p for x. 10 Solve -2*n - 3*h = 12, -11*n + 27*h + 20 = 22*h for n. 0 Solve 4*s - 6*c = -16, 2*s + 124*c - 12 = 117*c for s. -1 Solve -5*r + 28 = 4*n, -156*n + 21 = -153*n - r for n. 7 Solve 0 = 3*y + 6, 8*z = 4*z - 7*y - 2 for z. 3 Solve 3 = -42*j + 41*j + k, -7 = 5*j - k for j. -1 Solve -3*h = 3*s + 18, -143*s + 145*s + 4*h = -18 for s. -3 Solve 7738*w - n + 36 = 7743*w, 3*w - 51 = -8*n + 52 for w. 5 Solve 153*k - 2 = 157*k - 2*t, -k + 3*t - 8 = 0 for k. 1 Solve 0 = -2*v + 4*t - 19 - 5, -5*v - 30 = 5*t for v. -8 Solve 26*h - 34*h = 5*i - 9, -2*h - 3 = 3*i for i. -3 Solve -4*n - 21 = 5*u, -n + 5*u = -4*n - 22 for n. 1 Solve -5*c = -8*q - 24, -c + 21*q - 25*q = 12 for c. 0 Solve -22*d + 2*a = -20*d - 30, 0 = -4*d - 76*a - 260 for d. 11 Solve 0 = 5*c, -31*b = -33*b - c - c - 6 for b. -3 Solve -5*z - 7 = 3*w, 5*w = 2*z - 581 + 559 for z. 1 Solve -25821*z = -4*k - 25815*z + 52, z - 10 = -2*k for k. 7 Solve -2*z + 4*k - 38 = 0, -24398*z + 3*k = -24401*z - 30 for z. -13 Solve 0 = 3*q + x - 5, 5*x - 30 = 2*q - 39 for q. 2 Solve 6*p + t = -6, -5133*p + 5130*p - 30 = -4*t for p. -2 Solve 0 = r - 4*p - 4, -5*r - 12 = -8*r + 5*p for r. 4 Solve 2*y - 3*s = -2*s - 0*s - 17, 5*s - 35 = 0 for y. -5 Solve 4*r + 213 = -3*n + 212, -5*r + n = 25 for r. -4 Solve k + 167 - 146 = -5*n, -4*n - 16 = 0 for k. -1 Solve 5*u = 12*t - t - 35, 9 = t + u for t. 5 Solve -5*n - 4*v + 107 - 120 = 0, 0 = n + 7*v + 15 for n. -1 Solve 55*j + 9 + 42 = -2*o, -485*j + 4*o = -490*j + 3 for j. -1 Solve 0 = -7*l + 5*s - 39, 12 = 517*l - 518*l + 2*s for l. -2 Solve 3*p + 5*a - 18 = 0, 899*p - 901*p + 3*a - 7 = 0 for p. 1 Solve 0 = -2*x - 4*k, -2*k - 18 - 9 = -5*x + 9 for x. 6 Solve 6*n + y = -6, -805*y + 804*y + 5 = -5*n for n. -1 Solve -23887*p + 3*v = -23892*p + 45, 0 = p + 5*v - 31 for p. 6 Solve -k = -4*f - 11, 83*f + 6 = 84*f - 2*k for f. -4 Solve -184*w + 284*a = 286*a - 914, -2*w + 1 = 3*a for w. 5 Solve 35 = 2*a + 39, -4*a - 23 = 3*s for s. -5 Solve 2*y - 3*l - 82 = -73, y = -4*l - 12 for y. 0 Solve 17*s + 48 = 14*s, 4*c = 5*s + 64 for c. -4 Solve b + 7*m = 3*b - 14, 54*m = -b + 49*m - 27 for b. -7 Solve 2*x - 13*x = -6*x + 4*w - 12, -2*x = -3*w + 9 for x. 0 Solve -82*z + 83*z + 2 = -2*l, -4*z = -4*l + 20 for l. 1 Solve 0 = i - 10*h - 19*h + 140, 112*i - 10 = 113*i - 3*h for i. 5 Solve -3*g - 6 = b, 39*g + 49*b + 231 = 24*b + 29*b for g. -5 Solve t = 8*o - 6*o + 17, -3*t - 13 = 2*o for t. 1 Solve 0 = 5*k - 2*j - 24, -45*k + 3*j - 33 = -49*k for k. 6 Solve -2*h + 4*f = -40, -95*f = -2*h - 99*f - 40 for h. 0 Solve -39*r + 0*y + 5*y - 165 = -4*r, -24 = r - 4*y for r. -4 Solve 2199*n + 5 = 2*a + 2198*n, -4*a - 5*n = -45 for a. 5 Solve 5*z + f - 4*f = 10, 11*f - 16*f + 20 = -z for z. 5 Solve 3*j - 18*t = -17*t + 11, 8*j = -4*t - 24 for j. 1 Solve -2*d = 2*i + 2, -5*i - 2*d - 242 = -252 for i. 4 Solve 6400*o - 6396*o - 4 = 0, -7 = -5*d + 3*o for d. 2 Solve 127 = 2*b + p + 132, -5*b = 4*p + 20 for b. 0 Solve -2*s = 37*x - 39*x - 4, -1 = s - 4*x for s. 3 Solve 2*b - 31 = -7*f - 6*f + 8, -3 = -f + 4*b for f. 3 Solve k - 221*p + 219*p = 5, 5*k - 5*p - 1 = 4 for k. -3 Solve -n - 3*a - 17 = 0, 52*n + a = 53*n - 3 for n. -2 Solve -53 = -5*w + 4*b, 9*b - 24*b - 130 = -5*w for w. 5 Solve -2*c = 22*b - 27*b - 31, -2*c = -3*b - 21 for c. 3 Solve -4*i + 8 - 7 = 3*p, i = -3*p + 7 for i. -2 Solve 5*l - 477 = -4*g - 479, -4*g - 6 = 3*l for g. -3 Solve 2*r + p - 25 = 5*r, -4*p = -11*r - 91 for r. -9 Solve -y - 6*k - 2289 + 2274 = -2*k, 3*k + 13 = y for y. 1 Solve 2*c + 4*a = 8*a + 4, 9 = 3*a for c. 8 Solve -2*d - 7829*r + 7827*r = 16, 3*d + 3 = 4*r for d. -5 Solve 3*s + 4*j = 24, -5*s + 3*j + 4 = -7 for s. 4 Solve -4*i + 40 = -4*p, -4*p - 848*i - 25 = -849*i for p. -5 Solve 5*s = 2033*l - 2030*l + 15, -10 = 2*l - s for l. -5 Solve m + 5 = -c, 5*c = -4*m + 47 - 69 for c. -2 Solve -328 + 301 = h - 5*g, 0 = 5*h - 5*g + 35 for h. -2 Solve -10 = -4*u + y, -996*u + 993*u + y + 8 = 0 for u. 2 Solve 4*j + 2 = m + m, -5*j - 5*m = -m + 22 for j. -2 Solve 4*h = -2*d + 1171 - 1155, 0 = -4*d + 2*h + 12 for d. 4 Solve -10 = 5*o + 2*x, 0 = -4*o + 12*x - 10*x + 10 for o. 0 Solve -3*r + 9 = 2*q, 4*r - 14 = 3507*q - 3509*q for r. 5 Solve -5*n + 26 = -2*y, 371*y = 2*n + 372*y - 14 for n. 6 Solve -4*u - 70 = 2*v, 297*v = -5*u + 296*v - 83 for u. -16 Solve 5*k = -2*f - 2, 55*f = 51*f + 16 for k. -2 Solve -n + 8983 = b + 8990, 0 = 2*b + 3*n + 18 for b. -3 Solve 4*j = 2*l + 12, 3*l - 50*j + 52*j = -26 for l. -8 Solve 5*a + 35728*i - 35731*i = 24, i = 4*a - 22 for a. 6 Solve 3*l + 2 = -595*q + 593*q, 2*l + 2 = -q for q. 2 Solve 11*h + 3*w - 48 = 9*h, -3*h + 3*w - 33 = 0 for h. 3 Solve 0 = 3*v - w - 2, -2*v - 57 = -11*w - 48 for v. 1 Solve 0 = -3*l - c + 662 - 665, -4*l - 12 = 4*c for l. 0 Solve -7*i = -2*v - 10*i + 8, -6*i = 0 for v. 4 Solve 5*u + 3*m = 474 - 489, -10 = 3*u + 2*m for u. 0 Solve -14*h = 4*j - 18*h - 16, -34 = 5*j + 4*h for j. -2 Solve -2*z - 105 = 5*g - 96, 42 = -2*z + 6*g for z. -12 Solve 3*n + g = 387 - 469, 3*g = -2 - 1 for n. -27 Solve -41*v + 8 = -2*d - 42*v, 4*d = 3*v + 14 for d. -1 Solve -20*j + 1 = -19*j, -5*j = -3*r - 11 for r. -2 Solve -2*v + p - 4142 = -4138, 4*p + 11 = -v for v. -3 Solve 2*i = 10, 0 = -3*f - 10*i + 49 - 8 for f. -3 Solve -4*q = 3*x - 28, 2*q + 3*x + 55 = 87 for q. -2 Solve 4*d = -25 + 13, 3*v = 12*d - 10*d + 24 for v. 6 Solve 250*v - 49 = 254*v - 5*s, -3*v - 33 = -3*s for v. -6 Solve 5 = t + 4*v, -17*t + 15*t + 10 = 3*v for t. 5 Solve -3*o = -c - 38, -3*c - 2*o = 1041 - 1070 for c. 1 Solve -2*f = -d + 13 - 18, 13 = 4*d + 3*f for d. 1 Solve -v - 2*z = -27 + 28, 1 = -v - z for v. -1 Solve 15 = 7*j - 3*s, 27*j + 3*s = 25*j + 12 for j. 3 Solve 902*f + 19 = -c + 898*f, -3*f - 21 = -6*c for c. 1 Solve 5*
{ "pile_set_name": "DM Mathematics" }
mainder when 16188 is divided by 7. 4 Calculate the remainder when 513 is divided by 67. 44 What is the remainder when 13332 is divided by 442? 72 What is the remainder when 891 is divided by 120? 51 What is the remainder when 214886 is divided by 83? 82 Calculate the remainder when 1302 is divided by 326. 324 Calculate the remainder when 46757 is divided by 454. 449 What is the remainder when 16010 is divided by 143? 137 Calculate the remainder when 124757 is divided by 74. 67 Calculate the remainder when 10277 is divided by 62. 47 What is the remainder when 9372 is divided by 4646? 80 Calculate the remainder when 6576 is divided by 51. 48 Calculate the remainder when 30845 is divided by 12. 5 What is the remainder when 1110052 is divided by 19? 15 Calculate the remainder when 20456 is divided by 715. 436 Calculate the remainder when 1863 is divided by 598. 69 What is the remainder when 4537 is divided by 1132? 9 Calculate the remainder when 5884117 is divided by 20. 17 What is the remainder when 2681 is divided by 868? 77 What is the remainder when 1869174 is divided by 62? 60 Calculate the remainder when 5604783 is divided by 66. 63 Calculate the remainder when 510 is divided by 64. 62 What is the remainder when 3369 is divided by 29? 5 Calculate the remainder when 175957 is divided by 20. 17 Calculate the remainder when 4885 is divided by 1620. 25 Calculate the remainder when 4658 is divided by 150. 8 What is the remainder when 176997 is divided by 92? 81 What is the remainder when 59445 is divided by 132? 45 Calculate the remainder when 464938 is divided by 41. 39 What is the remainder when 1857 is divided by 617? 6 What is the remainder when 2909 is divided by 957? 38 What is the remainder when 502352 is divided by 31? 28 What is the remainder when 3377 is divided by 3370? 7 What is the remainder when 134481 is divided by 1306? 1269 What is the remainder when 1743 is divided by 194? 191 What is the remainder when 132884 is divided by 300? 284 What is the remainder when 564937 is divided by 41? 39 Calculate the remainder when 56119 is divided by 36. 31 What is the remainder when 78852 is divided by 15? 12 Calculate the remainder when 2897 is divided by 162. 143 Calculate the remainder when 13019 is divided by 432. 59 Calculate the remainder when 262 is divided by 179. 83 Calculate the remainder when 25499 is divided by 23. 15 Calculate the remainder when 44355 is divided by 634. 609 Calculate the remainder when 22845 is divided by 847. 823 What is the remainder when 6234 is divided by 3103? 28 What is the remainder when 5223 is divided by 65? 23 Calculate the remainder when 75600 is divided by 382. 346 Calculate the remainder when 1914 is divided by 644. 626 Calculate the remainder when 241502 is divided by 10500. 2 What is the remainder when 22729 is divided by 213? 151 Calculate the remainder when 88588 is divided by 31. 21 What is the remainder when 257 is divided by 223? 34 What is the remainder when 3030 is divided by 3020? 10 Calculate the remainder when 10586 is divided by 1128. 434 Calculate the remainder when 1222 is divided by 680. 542 Calculate the remainder when 56255 is divided by 530. 75 What is the remainder when 3269 is divided by 327? 326 Calculate the remainder when 99628 is divided by 24905. 8 What is the remainder when 866223 is divided by 2482? 5 What is the remainder when 35521 is divided by 602? 3 Calculate the remainder when 39866 is divided by 5694. 8 What is the remainder when 22508 is divided by 15? 8 What is the remainder when 69788 is divided by 173? 69 Calculate the remainder when 113946 is divided by 509. 439 Calculate the remainder when 8315 is divided by 189. 188 What is the remainder when 57501 is divided by 24? 21 Calculate the remainder when 201645 is divided by 25. 20 What is the remainder when 1408 is divided by 166? 80 What is the remainder when 4799 is divided by 1558? 125 What is the remainder when 153127 is divided by 245? 2 What is the remainder when 26239 is divided by 470? 389 What is the remainder when 10462 is divided by 211? 123 What is the remainder when 3519 is divided by 119? 68 Calculate the remainder when 35892 is divided by 204. 192 What is the remainder when 95640 is divided by 31877? 9 Calculate the remainder when 2242 is divided by 278. 18 What is the remainder when 102958 is divided by 330? 328 Calculate the remainder when 1465 is divided by 187. 156 Calculate the remainder when 36688 is divided by 166. 2 Calculate the remainder when 17401 is divided by 8597. 207 What is the remainder when 2849 is divided by 1270? 309 Calculate the remainder when 2338 is divided by 5. 3 Calculate the remainder when 8079 is divided by 117. 6 What is the remainder when 35771 is divided by 35770? 1 What is the remainder when 3742 is divided by 417? 406 What is the remainder when 109336 is divided by 662? 106 Calculate the remainder when 714409 is divided by 79376. 25 What is the remainder when 12717 is divided by 77? 12 Calculate the remainder when 149637 is divided by 24939. 3 What is the remainder when 49236 is divided by 16406? 18 What is the remainder when 14649 is divided by 16? 9 Calculate the remainder when 1465 is divided by 204. 37 Calculate the remainder when 43278 is divided by 481. 469 Calculate the remainder when 4929 is divided by 9. 6 Calculate the remainder when 19013 is divided by 1159. 469 What is the remainder when 23795 is divided by 4756? 15 Calculate the remainder when 23833 is divided by 74. 5 What is the remainder when 141524 is divided by 24? 20 Calculate the remainder when 28162 is divided by 55. 2 What is the remainder when 479784 is divided by 4658? 10 Calculate the remainder when 17909 is divided by 10. 9 Calculate the remainder when 166 is divided by 108. 58 Calculate the remainder when 264489 is divided by 54. 51 What is the remainder when 135151 is divided by 755? 6 What is the remainder when 9065 is divided by 656? 537 What is the remainder when 17234 is divided by 124? 122 What is the remainder when 479694 is divided by 8? 6 Calculate the remainder when 129201 is divided by 64591. 19 Calculate the remainder when 72034 is divided by 181. 177 What is the remainder when 146274 is divided by 225? 24 What is the remainder when 11953 is divided by 37? 2 Calculate the remainder when 9892 is divided by 1235. 12 What is the remainder when 368973 is divided by 16? 13 What is the remainder when 15953 is divided by 29? 3 Calculate the remainder when 4741 is divided by 17. 15 What is the remainder when 152421 is divided by 38100? 21 What is the remainder when 45656 is divided by 2527? 170 What is the remainder when 23746 is divided by 402? 28 Calculate the remainder when 23411 is divided by 1467. 1406 What is the remainder when 13069 is divided by 1272? 349 What is the remainder when 197953 is divided by 49488? 1 What is the remainder when 20699 is divided by 48? 11 Calculate the remainder when 208565 is divided by 927. 917 Calculate the remainder when 5814 is divided by 544. 374 Calculate the remainder when 16273 is divided by 75. 73 Calculate the remainder when 8333 is divided by 34. 3 Calculate the remainder when 592 is divided by 470. 122 What is the remainder when 8349 is divided by 14? 5 What is the remainder when 721 is divided by 106? 85 What is the remainder when 20215 is divided by 54? 19 Calculate the remainder when 136093 is divided by 34022. 5 What is the remainder when 2478 is divided by 201? 66 What is the remainder when 18049 is divided by 753? 730 What is the remainder when 9957 is divided by 63? 3 What is the remainder when 47372 is divided by 23681? 10 Calculate the remainder when 4542 is divided by 647. 13 Calculate the remainder when 11423 is divided by 90. 83 What is the remainder when 18259 is divided by 18259? 0 What is the remainder when 556214 is divided by 1015? 1009 Calculate the remainder when 81077 is divided by 13511. 11 Calculate the remainder when 88903 is divided by 6. 1 What is the remainder when 5099 is divided by 662? 465 What is the remainder when 23326 is divided by 77? 72 Calculate the remainder when 31043 is divided by 16. 3 What is the remainder when 6682370 is divided by 79? 76 Calculate the remainder when 4768 is divided by 2364. 40
{ "pile_set_name": "DM Mathematics" }
In base 2, what is 100100101001101 + 110001? 100100101111110 In base 11, what is -73 + 2480? 2408 In base 12, what is 50 - -157? 1a7 In base 3, what is 12010010 - -22? 12010102 In base 2, what is 10000001001101 + -110100001? 1111010101100 In base 12, what is 37691 - -38? 37709 In base 16, what is -504 - -3? -501 In base 12, what is -1b6207 - -4? -1b6203 In base 10, what is -75 + 416? 341 In base 6, what is -45 + 20355? 20310 In base 6, what is 12015015 - -3? 12015022 In base 7, what is 236 + 32513? 33052 In base 6, what is 1002301 - 30? 1002231 In base 10, what is -343 - -4535? 4192 In base 9, what is -1032 + -162? -1204 In base 15, what is 5 + -74ea? -74e5 In base 4, what is 100312321312 + 3? 100312321321 In base 13, what is -3 - 25311? -25314 In base 5, what is 14 + -24443? -24424 In base 10, what is -16920 - 5? -16925 In base 14, what is -165 - 1c77? -1ddc In base 10, what is 1 + -7664? -7663 In base 6, what is -12333 - -305? -12024 In base 5, what is 12 - -13434? 14001 In base 7, what is -11 + 33006? 32665 In base 11, what is -3 - -4033a? 40337 In base 10, what is -3 - 93046? -93049 In base 7, what is -2060342 - 4? -2060346 In base 7, what is -2331 + -3303? -5634 In base 4, what is -11211 - -3120222? 3103011 In base 7, what is 4 - -41632? 41636 In base 5, what is -340 + -21333? -22223 In base 2, what is -11 + 1101010110000111? 1101010110000100 In base 2, what is -1100011 - 10001010? -11101101 In base 4, what is 31313022 + 10? 31313032 In base 3, what is -100200112100 + -11? -100200112111 In base 16, what is -3a0a + -5? -3a0f In base 10, what is 1 - -942305? 942306 In base 15, what is 7 + -37ab6? -37aae In base 6, what is -1344 - 4040? -5424 In base 11, what is 256a - 84? 2496 In base 9, what is 6124 + -24? 6100 In base 5, what is 1410142 - 2? 1410140 In base 13, what is 1b415 - 29? 1b3b9 In base 15, what is c5e9 - e? c5da In base 11, what is -40643 + 4? -4063a In base 16, what is 8 - 69e? -696 In base 9, what is -56548 + 7? -56541 In base 10, what is -2749 + -2318? -5067 In base 11, what is -5 + 36a2a? 36a25 In base 15, what is -78 + -12d5? -135d In base 14, what is -a - -2bd? 2b3 In base 16, what is 11 - 12d? -11c In base 10, what is 208 + 80? 288 In base 6, what is 51151332 - 0? 51151332 In base 16, what is -11bf - 5? -11c4 In base 13, what is -1608 - 28? -1633 In base 13, what is 11b1 - 11a? 1094 In base 8, what is -4 - -34644? 34640 In base 2, what is 10001111 - 10000101001? -1110011010 In base 6, what is -1415 - 134? -1553 In base 15, what is -11 - -129e8? 129d7 In base 4, what is 11 + -2310021212? -2310021201 In base 9, what is -3 + -366804? -366807 In base 3, what is -1111121120112 + 10? -1111121120102 In base 8, what is -2 - 64225? -64227 In base 3, what is 2020002 - 1012? 2011220 In base 5, what is 1202132 + -30? 1202102 In base 14, what is -2a9a - -5? -2a95 In base 9, what is -7 - -16120? 16112 In base 12, what is 36 + 14168? 141a2 In base 15, what is -8c38 + b? -8c2c In base 10, what is -326 - 11357? -11683 In base 9, what is 6 + 54038? 54045 In base 4, what is 230 - -120031? 120321 In base 15, what is 5806 + 2? 5808 In base 4, what is -33221020 + -3? -33221023 In base 5, what is -122423 + 20110? -102313 In base 8, what is 1 - 31705? -31704 In base 4, what is 20 - -1223131? 1223211 In base 16, what is 2a2 - -30? 2d2 In base 16, what is 4984 + -1c? 4968 In base 15, what is -70 + 246d? 23ed In base 12, what is b963 - 3? b960 In base 8, what is -127035 - 0? -127035 In base 6, what is 202 - -31252? 31454 In base 12, what is b719 - 21? b6b8 In base 9, what is -518476 - -3? -518473 In base 9, what is 4703 + 62? 4765 In base 14, what is -6d964a + 3? -6d9647 In base 5, what is 3123 + 2324? 11002 In base 15, what is e1c - -11? e2d In base 13, what is -1380 - -c? -1371 In base 3, what is -1012020 - 2002022? -10021112 In base 4, what is 1 - 213010220? -213010213 In base 15, what is -10b - 2? -10d In base 13, what is 3 + 92b68? 92b6b In base 15, what is 17 - 5d4e? -5d37 In base 2, what is -1100001 + 10110010100? 10100110011 In base 14, what is 10 + -112d7? -112c7 In base 10, what is -8 - -17470? 17462 In base 4, what is -13 + 33132220? 33132201 In base 14, what is -3 - 3d78? -3d7b In base 16, what is -200 - a5? -2a5 In base 5, what is -13323 - 22? -13400 In base 12, what is -1a - 2bb53? -2bb71 In base 11, what is 533 - 28? 506 In base 9, what is 0 - 185056? -185056 In base 10, what is -1736 - -38? -1698 In base 12, what is 4 - -7a43? 7a47 In base 2, what is 111110101 + 1011110? 1001010011 In base 16, what is -7ef - 1a? -809 In base 14, what is -1 - -2a93d1? 2a93d0 In base 7, what is 4032 - -141? 4203 In base 4, what is -2111 + -1033? -3210 In base 7, what is 0 - -2365024? 2365024 In base 10, what is -287584 - -1? -287583 In base 5, what is -1020412 + -33? -1021000 In base 15, what is -1 + -e819? -e81a In base 12, what is -31 + 1090? 105b In base 14, what is -1 - -239d? 239c In base 5, what is 11 + -341204? -341143 In base 5, what is -12001 + -11344? -23400 In base 3, what is 101220201221 - 2? 101220201212 In base 3, what is -10000210 + 10012? -2220121 In base 16, what is -15b12 - 4? -15b16 In base 4, what is -10 - 11112331? -11113001 In base 11, what is -4581 + 16? -4566 In base 9, what is -1885186 + 1? -1885185 In base 7, what is 460 + 13510? 14300 In base 7, what is 23 - 54406? -54353 In base 11, what is -460a + 1? -4609 In base 4, what is -21013000 + -110? -21013110 In base 9, what is 410 + -27? 372 In base 8, what is -124703 + 2? -124701 In base 15, what is 28 - 134? -10b In base 10, what is 2 - 18518? -18516 In base 13, what is 5 - -1724a? 17252 In base 8, what is 604003 - -4? 604007 In base 3, what is -21100101110001 + 11? -21100101102220 In base 2, what is 111011011001111010 - 0? 111011011001111010 In base 13, what is -3 - -3672c? 36729 In base 2, what is 111110100101100010 + 0? 111110100101100010 In base 13, what is -496 - -31c? -177 In base 15, what is -d - -1301d? 13010 In base 6, what is 510 - 1000? -50 In base 16, what is -3565 - 6d? -35d2 In base 15, what is 3c - 912? -8c5 In base 7, what is -1461 + -22? -1513 In base 6, what is 11 + 52350? 52401 In base 5, what is -2 + -114430? -114432 In base 13, what is 73578 + -8? 73570 In base 10, what is -4 - 12615? -12619 In base 15, what is -72ed - 1? -72ee In base 2, what is 100101001 - 10100111111101? -10100011010100 In base 14, what is 8572 + 5? 8577 In base 5, what is 4 - -123400204? 123400213 In base 11, what is 131699 + 3? 1316a1 In base 14, what is 99d0 + -2? 99cc In base 4, what is -11 - 332032? -332103 In base 5, what is -10 + 402113? 402103 In base 16, what is 23 - 45b? -438 In base 2, what is 10 - 1000100100101000? -1000100100100110 In base 5, what is -303333 - -1034? -302244 In base 6, what is 4 - 130202? -130154 In base 3, what is -21 - -100201212? 100201121 In base 14, what is 228 + -4? 224 In base 2, what is -1 - -11110011010001? 11110011010000 In base 14, what is 4 - 2635? -2631 In base 13, what is -853 + -2c? -882 In base 16, what is 545e + 5? 5463 In base 7, what is 20 - 244? -224 In base 11, what is 10 + -1173? -1163 In base 16, what is -3 + 2f0e? 2f0b In base 16, what is 345b - -4? 345f In base 7, what is -13 - -21566? 21553 In base 6, what is 105 + -124232? -124123 In base 13, what is -3 + ab? a8 In base 15, what is -6cbc9 - 3? -6cbcc In base 9, what is 1 + -375785? -375784 In base 11, what is 3 - -61522? 61525 In base 5, what is -44 - 130020? -130114 In base 8, what is -3 - -27115? 27112 In base 14, what is -5 + 38a7? 38a2 In base 16, what is -1c6d0 + 1? -1c6cf In base 15, what is -16a967 - 3? -16a96a In base 16, what is -1b8 - 42? -1fa In base 7, what is -301565 + -5? -301603 In base 10, what is 1 + 215204? 215205 In base 5, what is 14413040 + -3? 14413032 In base 16, what is 89 + -44? 45 In base 9, what is -3258 + -8? -3267 In base 6, what is 4 + 22104045? 22104053 In base 7, what is -10623324 - 5? -10623332 In base 2, what is -101 + 11001011000011? 11001010111110 In base 3, what is 11 + 2020122? 2020210 In base 12, what is -907 + -a66? -1771 In base 8, what is 3066 + 0? 3066 In base 5, what is 1034 - -1134? 2223 In base 3, what is 10221 - -2210112? 2221110 In base 15, what is 21 - 49a? -479 In base 5, what is -132140 + 331? -131304 In base 7, what is 5 + 10
{ "pile_set_name": "DM Mathematics" }
08 + 2.92. Put -0.3, v, -2, u in descending order. u, v, -0.3, -2 Let q(y) be the first derivative of -y**2/2 + 4*y + 2. Let m be q(7). Let a = -404 + 399. Sort 4, a, m. a, m, 4 Suppose 0 = -5*m + 11*m. Suppose m = 7*b - 2*b + 10. Let u(k) = -k - 4. Let g be u(-7). Put g, b, -3 in decreasing order. g, b, -3 Let m be 51/(-9) + (-14)/(-21). Sort -6, 0, m, 4. -6, m, 0, 4 Let a(n) be the first derivative of -n**4/4 - n**2/2 + 14*n - 5. Let l be a(0). Let y = l - 15. Sort 5, y, 3 in descending order. 5, 3, y Let m = -11 - -11. Suppose l + 16 = -m*h - 3*h, 0 = 5*l + 5*h + 30. Suppose 0*i - 2*i - 4 = 0. Put l, -5, i in descending order. l, i, -5 Let g(z) = z**3 - 6*z**2 + 4*z + 1. Suppose 0 = -4*x + 3*w + 23, -2 = 4*w + 2. Let n be g(x). Let o = 97 - 102. Put o, n, 1 in increasing order. o, n, 1 Suppose -52*c - 5 = -57*c. Put c, -5, 85, 0 in ascending order. -5, 0, c, 85 Let d(t) = 2*t**3 + 10*t**2 - 2*t - 5. Let b = 9 + -14. Let a be d(b). Sort a, 1, -4 in descending order. a, 1, -4 Let o be 14*1*10/20. Suppose 0 = -o*r + 12*r - 15. Put r, 7, -5, 4 in increasing order. -5, r, 4, 7 Let j = -39 + 42. Suppose 0 = -2*d - j*c - 3, -d - 8 = 3*c - 2. Sort -3, d, 7 in ascending order. -3, d, 7 Suppose -4*l = -5*v + 34, v - 52 + 54 = 0. Sort -4, l, -2, 0 in decreasing order. 0, -2, -4, l Suppose 3*w + 16 = 7*w. Let s = 1 + w. Let i = 2.6 - 4.6. Sort s, i, 0.3. i, 0.3, s Let a = -81.948 + -0.052. Put a, -4, 2 in increasing order. a, -4, 2 Let u = -19 - -22. Suppose -u*y - 2*s - 2*s + 11 = 0, 4*s = -2*y + 6. Suppose -y*x - 10 = -15. Sort -5, x, -4 in ascending order. -5, -4, x Suppose -2 = -2*a - 0. Let u = -30 - -19. Let j = 10 + u. Put 3, a, j in increasing order. j, a, 3 Suppose -a = 3*w + 2, -31*w = -4*a - 27*w + 24. Suppose 0 = -7*x - 12 - 16. Put a, x, 1, -5 in descending order. a, 1, x, -5 Let r = -142 + 143. Put 3, r, -3, -4 in decreasing order. 3, r, -3, -4 Let o(s) = s**3 - 7*s**2 - 2*s + 14. Let p be o(7). Suppose 7*b - 16*b + 18 = p. Put b, -3, 1 in increasing order. -3, 1, b Let f = 127/366 - 11/61. Suppose 280 = -2*x - 3*x. Let z = 223/4 + x. Sort 5, f, z in decreasing order. 5, f, z Let b = -1340 + 1334.992. Let q = -0.008 - b. Sort q, 3, -0.3, 2/21 in decreasing order. q, 3, 2/21, -0.3 Let k(x) = -3*x**2 - 5*x + 2. Let a be k(-5). Let t = a - -52. Sort 1, t, -5. -5, 1, t Let q be 4 - 0 - (2 - 0). Suppose -6*y = -2*y - 0*y. Let s(p) = p**2 + p - 2. Let m be s(y). Sort -1, m, q in descending order. q, -1, m Let w = -12.8 - -12.7. Let k = 0.02 - 5.02. Sort -3, w, k. k, -3, w Let t(d) = d**3 - 7*d**2 + 7*d - 1. Let g be t(6). Let w = g - 7. Let r be 2 + -2 + (-5)/(-1). Put r, w, 1 in decreasing order. r, 1, w Suppose -4*r + 3 = 5*u, 0*r = 3*r - 2*u - 8. Let h = 120 + -124. Let t = -63 + 62. Sort r, t, h in ascending order. h, t, r Let j = -157/672 - 5/96. Sort 0.3, j, 1, -3/7. -3/7, j, 0.3, 1 Let p be 0 + -1*4/(-2). Let m(z) = z**2 - 12*z - 87. Let l be m(17). Put p, 22, l in increasing order. l, p, 22 Let g(x) = 6*x**3 - 91*x**2 + 14*x + 20. Let d be g(15). Let k = -6 - -3. Put d, k, -8 in decreasing order. d, k, -8 Let t(u) = u**2 - 5*u + 2. Let k be (2 - 1) + (-12)/(-4). Let p be t(k). Let j = 43.5 + -43.6. Put -1/2, j, p in ascending order. p, -1/2, j Let d(p) = p - 2. Let s be d(0). Let n be s/(-1) + (-234)/(-18). Put n, 2, -3 in descending order. n, 2, -3 Let r = 0.02 + -2.7. Let d = -2.7 - r. Let g = 38 - 39. Put g, d, 0.5 in descending order. 0.5, d, g Suppose 0 = 4*r + 69 + 27. Let a be 10/r*((-34)/10 + 3). Sort 1, a, -2, -0.2 in ascending order. -2, -0.2, a, 1 Let n = 2.1 + -1.1. Let b = -24 - -21. Put b, n, -2/5 in decreasing order. n, -2/5, b Suppose -4*o + 16 = 2*d, -o + 0*o - 1 = 3*d. Let f(i) = i**2 + 9*i + 8. Let b be f(-7). Let n be 42/(-8) + b/(-24). Put 4, d, n in ascending order. n, d, 4 Let s = -3216 + 3215. Let q = -156 - -621/4. Sort q, 2/5, s, -2/5 in decreasing order. 2/5, -2/5, q, s Suppose -4*z - 9 = -7*z. Suppose 9 = 2*m - z*m. Let t be (-4)/(-10) + m/(-15). Sort t, -2, -1. -2, -1, t Let t = 957 + -956.9. Put t, 5, -186, 2 in descending order. 5, 2, t, -186 Let b = 3.9876 + 0.0124. Sort -1, 5, -13/21, b in increasing order. -1, -13/21, b, 5 Suppose 4*i = 5*c - 57 - 3, -c + 2*i = -18. Suppose -c = -s - 13. Sort 4/5, s, 2/15 in descending order. 4/5, 2/15, s Suppose -4*w + 2*p = -3 + 1, -p + 9 = 3*w. Suppose -3*y = t - 7, 0 = -3*y + 7*t - w*t + 1. Suppose -15 = q + y*q. Sort -4, q, -1 in increasing order. q, -4, -1 Let j = 105 + -107. Put -3, j, -12 in decreasing order. j, -3, -12 Let c(b) = b**2 - 7*b + 9. Let l be c(7). Let r be (4/(-10) - (-2)/5)/(-1). Put r, -5, -3, l in descending order. l, r, -3, -5 Let o = -1635 + 1638. Sort o, -1, -73 in ascending order. -73, -1, o Suppose -3*n = -7*j + 2*j + 12, 2*n - 5 = -j. Let w(q) = 5 + q**2 + 12*q + 5*q - 10*q. Let t be w(-7). Sort t, 3, n. n, 3, t Let u = 0.03 + 18.97. Put -2, -2/7, u, -3 in descending order. u, -2/7, -2, -3 Suppose -4*t - 19 - 401 = 0. Let j be 1/t*(-122)/(-6). Let v = -1/35 + j. Put 1, 5, v in ascending order. v, 1, 5 Let q = -136 - -88. Let o = 47.6 + q. Sort 6, o, 2 in decreasing order. 6, 2, o Suppose 3*n - 63 = 2*n. Let d be 4/(-18) + (-271)/n. Let a = d - -14/3. Sort -4, a, 3 in descending order. 3, a, -4 Let l = -62 + 94. Suppose l = -5*v - 3*g, -g + 1 = -2*v - 3. Put v, 0, -2 in decreasing order. 0, -2, v Let x(v) = v**3 + 5*v**2 - 4*v + 7. Let m be x(-6). Let p be ((-3)/(-15))/(4/(-5)). Sort m, p, -3 in ascending order. m, -3, p Let n = -3.2 - 6.9. Let h = -0.1 - n. Let d = h + -10.2. Sort 2/5, 6/11, d in increasing order. d, 2/5, 6/11 Suppose 5 = a - 5*x, 3*a + 30 = -4*x + 7. Put 124, a, 0.5 in increasing order. a, 0.5, 124 Let j be (-372)/180*5 - -11. Sort j, 1, -7, -0.5. -7, -0.5, j, 1 Suppose -2*m - 11 = -3. Let l be ((-1)/(-18))/(m/(-8)). Put 4, 5, l in decreasing order. 5, 4, l Suppose 3*k + 7 + 5 = 0, 2*p + 28 = -5*k. Suppose 11*h - 2*h + 18 = 0. Put h, p, -3 in increasing order. p, -3, h Suppose -5*c + 2*h + h = -800, 3*c = 4*h + 480. Let b = 112 - c. Let y be (b/4)/4 + -1. Put 1, y, 0 in descending order. 1, 0, y Let o be (-108)/(-12)*2/6. Let t be -1*o/6*0. Sort -2, 4, t in increasing order. -2, t, 4 Suppose 0 = -d - 8 + 11. Suppose d*k = -2*z + 21, -k + 3*k - 4*z = -2. Let a = -4.1 - 0.9. Sort k, a, -1/4 in increasing order. a, -1/4, k Let n(w) = -w**3 - 10*w**2 - 12*w - 31. Let v be n(-9). Sort -0.2, v, 1, -0.3 in descending order. 1, -0.2, -0.3, v Let c(o) = 2*o - 12. Let k = -22 - -27. Let f be c(k). Let h = 0 - 0. Sort h, f, -6 in descending order. h, f, -6 Let k(q) be the third derivative of -q**4/24 + q**3/6 + 14*q**2. Let g be k(5). Put -4/9, g, -2 in descending order. -4/9, -2, g Let i(x) = -3*x**2 + 18*x - 19. Let f be i(6). Sort 4, 1, f, -2. f, -2, 1, 4 Suppose -2*w = -4*w. Let b(o) = -o**3 - 4*o**2 - 2*o - 12. Let h be b(-4). Sort 15, h, w in ascending order. h, w, 15 Let v be (2/(-20))/(-49 + 53). Sort v, -2/3, -2/5 in descending order. v, -2/5, -2/3 Let f = 1126 - 5629/5. Sort 5, -5, f, 0.5 in increasing order. -5, f, 0.5, 5 Suppose -4*k + 44 - 4 = 0. Sort 1/5, -1, -5, k. -5, -1, 1/5, k Let p = -0.4471 + 0.1471. Put 417, p, 2 in increasing order. p, 2, 417 Let a be -5 + ((-12)/138 - 1463/(-161)). Sort a, 0.2, -1/417. -1/417, 0.2, a Let a = -300 + 297. Sort a, 2/17, 5, -1.8 in decreasing order. 5, 2/17, -1.8, a Let o(s) = -s + 11. Let x be o(13). Suppose -4*v = -2*v. Let h = v + -3. Put x, -4, h in ascending order. -4, h, x Let q = 15 - 20. Let d be -2*(-1)/(-6)*-9. Suppose 2*i + w = -0 - 3, d*i - 3*w = 9. Sort 2, i, q in decreasing order. 2, i, q Let m = -0.4 + 0.3. Let l = 1522 - 1522. Put m, -0.5, 1, l in ascending order. -0.5, m, l, 1 Let b = -1 - -4. Let j = 1720 - 1725. Sort j, -4, b in increasing order. j, -4, b Let q = 799 - 796. Sort 2, -0.08, 0, q in decreasing order. q, 2, 0, -0.08 Let s(r) = -3*r**2 + 4*r + 73. Let f be s(7). Sort -4, 1, -5, f. f, -5, -4, 1 Let z = 2 - 2.2. Let l = 0.044 + -0.074. Sort z, l, -2 in decreasing order. l, z, -2 Let j = 6 + 8. Let m = j + -17. Let k = 0.054 - -0.146. Put m, -1/3, k in increasing order. m, -1/3, k Let u(r) = 3*r - 18. Let i be u(10). Let d be (-16)/(-12)*3/i*42. Put 4, d, -5 in ascending order. -5, 4, d Suppose 2*a + 2*o + 4 = 0, -5*o = -28*a + 26*a + 10. Put -1, 5
{ "pile_set_name": "DM Mathematics" }