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0. What is g(123)? -94 Let q(u) = -21*u**2 - 961*u - 146. Determine q(-46). -376 Let v(l) = -16418*l - 98449. What is v(-6)? 59 Let b(a) = a**2 - 1018*a + 244698. Determine b(389). 17 Let o(h) = h**2 + 335*h + 19700. Calculate o(-259). 16 Let v(j) = -54969*j - 604665. Determine v(-11). -6 Let w(h) = 2942*h + 21600. What is w(-7)? 1006 Let b(f) = -8*f**3 + 685*f**2 + 258*f + 242. What is b(86)? 242 Let c(g) = 12*g**2 - 631*g + 302. Determine c(52). -62 Let a(g) = -1426*g - 35624. What is a(-25)? 26 Let p(y) = -272*y + 1348. Calculate p(6). -284 Let q(r) = 2*r**3 + 202*r**2 + 400*r + 251. Determine q(-99). -145 Let s(j) = -j**3 + 89*j**2 + 443*j - 124. Calculate s(-5). 11 Let n(i) = i**2 + 910*i - 55101. Calculate n(57). 18 Let s(i) = i**3 + 659*i**2 - 2082*i - 63540. Calculate s(-662). 12 Let h(f) = -7*f**2 + 3552*f - 5055. Determine h(506). 5 Let a(k) = 65*k**3 + 3*k**2 - 29*k - 79. Give a(-3). -1720 Let n(w) = -30*w**2 - 150*w + 584. What is n(4)? -496 Let k(q) = 687*q**3 - 4124*q**2 - 2*q + 91. Calculate k(6). 7 Let f(g) = -10*g**3 - 688*g**2 + 870*g + 2096. Give f(-70). -4 Let r(x) = 3*x**2 - 634*x + 17659. Calculate r(33). 4 Let g(f) = -21957*f + 21855. Give g(1). -102 Let z(m) = m**2 - 49*m + 398. Determine z(16). -130 Let l(s) = s**3 - 16*s**2 - 56*s + 291. Calculate l(23). 2706 Let m(b) = -5*b**2 - 1956*b - 8125. Calculate m(-387). 2 Let v(a) = -74*a**2 - 6448*a - 869. Determine v(-87). 1 Let j(x) = 2*x**3 + 50*x**2 + 87*x + 298. What is j(-23)? 413 Let q(m) = -m**3 - 568*m**2 + 6378*m + 5233. Determine q(-579). 22 Let r(n) = 2*n**3 + 31*n**2 + 132*n - 185. Calculate r(-8). -281 Let p(q) = -q**3 - 111*q**2 - 2541*q - 821. Calculate p(-79). 206 Let d(b) = 29*b**2 - 13183*b - 5448. Calculate d(455). 12 Let s(f) = -2634*f - 908352. Determine s(-345). 378 Let j(l) = 3*l**2 + 565*l - 1065. What is j(-188)? -1253 Let m(c) = -c**3 - 79*c**2 - 196*c - 42. What is m(-76)? -2474 Let i(j) = j**2 + 3*j - 475426. Determine i(688). -18 Let c(t) = -87*t**2 + 317*t - 272. Determine c(2). 14 Let z(u) = -935*u - 2280. Give z(-2). -410 Let j(f) = 8*f**2 + 338*f - 1905. What is j(5)? -15 Let h(j) = -57002*j + 1026039. Give h(18). 3 Let j(t) = -356*t**2 - 114*t - 118. What is j(-1)? -360 Let g(d) = 2*d**3 - 863*d**2 - 102*d + 229706. Give g(431). -17 Let g(n) = 44*n**2 - 1452*n + 215. Give g(33). 215 Let m(n) = 478*n - 32946. What is m(69)? 36 Let i(j) = -4*j**3 + 124*j**2 + 322*j - 172. Calculate i(-3). 86 Let y(h) = -13*h**3 - 192*h**2 + 77*h + 490. Give y(-15). 10 Let v(t) = -247*t + 85244. Give v(332). 3240 Let p(v) = 2*v**3 + 542*v**2 - 1101*v - 1918. Give p(-273). 539 Let b(i) = -1278*i - 62828. Calculate b(-49). -206 Let g(r) = -32*r**2 - 44*r + 89. Determine g(2). -127 Let z(h) = -715*h**2 - 24310*h - 28. Calculate z(-34). -28 Let w(y) = -y**2 - 692097*y + 2768401. Determine w(4). -3 Let k(s) = -136*s + 1272. Give k(11). -224 Let a(q) = 2*q**3 + 270*q**2 - 306*q - 4615. Calculate a(-136). 9 Let c(v) = v**3 + 368*v**2 + 32179*v + 829. Calculate c(-225). -71 Let p(q) = -12*q**2 + 522*q - 1467. Calculate p(3). -9 Let c(v) = v**3 - v**2 - 84*v - 541. Give c(-7). -345 Let r(t) = 82*t**2 + 1876*t - 100. What is r(-23)? 130 Let v(t) = t**2 + 46*t - 1437. Give v(-62). -445 Let w(a) = -93*a**2 - 833*a + 28. Give w(-8). 740 Let b(j) = j**3 - 140*j**2 + 2227*j - 31. What is b(18)? 527 Let m(w) = w**3 - 266*w**2 + 467*w + 16117. What is m(264)? 13 Let u(r) = -r**2 + 1223*r - 59777. Determine u(51). -5 Let x(j) = -2*j**3 - 22*j**2 + 21*j + 604. Calculate x(-6). 118 Let z(t) = -13998*t - 55998. Give z(-4). -6 Let u(v) = -v**2 - 816*v - 8927. Determine u(-805). -72 Let o(h) = h**3 + 264*h**2 + 16994*h + 1207. Give o(-111). -14 Let r(k) = 17855*k + 464245. What is r(-26)? 15 Let i(x) = 114*x**2 + 10012*x - 10010. What is i(1)? 116 Let w(o) = -4*o**2 - 9175*o - 54954. Determine w(-6). -48 Let q(j) = -j**3 + 40*j**2 + 2158*j + 3128. What is q(71)? 75 Let h(u) = 11*u**2 + 95*u - 500. Give h(-12). -56 Let f(u) = -24*u**2 - 8179*u + 1877. What is f(-341)? 172 Let u(t) = 47*t**2 + 441*t + 584. What is u(-8)? 64 Let n(v) = 54*v**2 + 620*v + 700. Calculate n(-10). -100 Let n(i) = -22*i**2 - 220*i + 304. Determine n(-11). 62 Let f(v) = -1907*v + 76446. What is f(40)? 166 Let h(k) = 709*k**2 - 1422*k - 20. Calculate h(2). -28 Let q(w) = -27366*w + 137075. What is q(5)? 245 Let l(r) = 735*r + 12060. Give l(-16). 300 Let b(k) = -3*k**2 - 4544*k - 80838. Give b(-18). -18 Let q(g) = 4611*g + 3573467. Give q(-775). -58 Let p(s) = 379*s + 49846. Determine p(-132). -182 Let c(t) = t**3 - 30*t**2 - 53*t - 90. What is c(32)? 262 Let l(w) = -253*w + 4441. Calculate l(16). 393 Let i(x) = 63*x**2 + 471*x - 3505. Give i(-12). -85 Let s(a) = -a**3 + 31*a**2 - 162*a + 111. Determine s(25). -189 Let n(b) = 3*b**2 + 21735*b - 195947. Calculate n(9). -89 Let a(l) = 36426*l + 582799. Give a(-16). -17 Let q(r) = r**3 + 32*r**2 + 154*r - 830. Give q(-11). 17 Let k(g) = -5*g**2 + 2701*g - 24615. What is k(531)? -189 Let t(r) = 52667*r - 1737792. What is t(33)? 219 Let d(x) = 18032*x - 1478614. Give d(82). 10 Let f(s) = 3237*s - 288098. Give f(89). -5 Let q(w) = -5*w**2 + 1880*w + 13365. What is q(-7)? -40 Let u(b) = -b**2 + 811131*b + 11. Give u(0). 11 Let q(n) = n**3 - 321*n**2 + 11240*n + 279. Determine q(40). 279 Let g(b) = b**3 - 217*b**2 - 881*b - 661. What is g(221)? 2 Let p(f) = 4*f**3 + 52*f**2 - 53*f + 74. What is p(-15)? -931 Let w(x) = 43*x + 1412. Give w(-39). -265 Let y(k) = 72052*k + 1152950. Give y(-16). 118 Let j(b) = -b**2 - 3997*b + 243421. Determine j(60). 1 Let b(k) = 55063*k + 13820833. Give b(-251). 20 Let k(t) = -96*t**2 + 2221*t - 2223. Give k(1). -98 Let b(y) = -121376*y - 4126784. What is b(-34)? 0 Let y(b) = -7618*b + 259027. Give y(34). 15 Let j(o) = 26*o**3 + 1511*o**2 + 844*o + 38860. What is j(-58)? 0 Let s(x) = -23080*x + 3438883. Determine s(149). -37 Let v(b) = -1071*b + 36793. Calculate v(35). -692 Let i(q) = 2*q**2 + 360*q + 14148. What is i(-122)? -4 Let c(m) = -2*m**3 - 108*m**2 - 1018*m + 7517. Calculate c(-38). -7 Let f(l) = 46*l**2 + 71657*l - 304581. Calculate f(-1562). 9 Let m(j) = -3*j**2 - 343*j + 19498. Determine m(-156). -2 Let b(r) = 74*r**3 - 811*r**2 - 104*r + 764. Determine b(11). -17 Let m(z) = -4815*z + 52966. What is m(11)? 1 Let p(a) = 6*a**3 - 337*a**2 - 960*a - 2541. Give p(59). -4 Let z(p) = -p**3 - 239*p**2 - 461*p + 2710. Determine z(-237). -371 Let m(h) = -3*h**2 - 214*h - 190. What is m(-70)? 90 Let a(g) = 498*g**2 + 6486*g - 14768. Calculate a(-15). -8 Let z(n) = -14*n**2 - 103*n - 814. What is z(-7)? -779 Let r(t) = 4536*t - 9013. What is r(2)? 59 Let c(o) = 351*o + 50573. What is c(-144)? 29 Let l(s) = 52373*s + 15711911. Determine l(-300). 11 Let g(w) = 29*w**2 - 8702*w - 394482. Give g(-40). -2 Let x(r) = 583*r + 69963. What is x(-120)? 3 Let s(c) = 9680*c - 493692. Determine s(51). -12 Let a(s) = -32*s**2 + 5804*s - 2438. What is a(181)? -266 Let b(w) = 2*w**2 - 603*w + 9359. Calculate b(283). -1112 Let x(l) = 313*l - 26180. Give x(78). -1766 Let c(q) = 288417*q + 76. Determine c(0). 76 Let w(f) = 3*f**2 + 513*f - 11464. Give w(20). -4 Let y(v) = v**3 + 122*v**2 + 2816*v + 394. Determine y(-32). 2442 Let z(o) = -o**2 + 88*o + 3018. What is z(-29)? -375 Let s(h) = -155*h**2 + 1917*h - 665. Calculate s(12). 19 Let g(b) = b**3 + 425*b**2 - 1123*b + 68905. Give g(-428). -3 Let u(l) = -2*l**3 - 312*l**2 - 303*l + 1096. What is u(-155)? 11 Let j(z) = -11050*z + 44082. Calculate j(4). -118 Let w(q) = -45*q + 528. Calculate w(21). -417 Let v(a) = -4741*a + 14126. Calculate v(3). -97 Let g(o) = -42*o**2 - 1079*o + 26. Calculate g(-27). -1459 Let j(q) = -1321*q + 36350. Determine j(23). 5967 Let z(w) = w**2 + 569*w + 4138. Calculate z(-561). -350 Let h(x) = x**3 + 116*x**2 - 521*x - 33965. Give h(-118). -335 Let n(i) = -91*i - 237. Determine n(4). -601 Let j(d) = -154113*d + 2311453. Calculate j(15). -242 Let v(q) = q**2 + 2470*q + 89931. Determine v(-37). -90 Let p(u) = 8735*u - 69883. Calculate p(8). -3 Let a(o) = -2*o**2 + 165*o - 3029. Calculate a(55). -4 Let a(r) = 5*r**3 + r**2 - 9287*r + 9286. Determine a(1). 5 Let o(l) = -3850*l - 408068. Give o(-106). 32 Let h(a) = -11372*a + 363898. Calculate h(32). -6 Let v(c) = -c**2 - 26*
{ "pile_set_name": "DM Mathematics" }
h biggest value in -3, 20933, 4, -0.02, 9, 1/2, 5? 4 What is the second smallest value in 20.1, 2/25, 0.4, 2, -2.9, -5? -2.9 What is the fifth biggest value in 7, -4, 2, 0, 480, 0.03, -42? 0 What is the third biggest value in 325/4, 0.4, -1/2, 18171, -0.3, -2/5? 0.4 Which is the third smallest value? (a) 5 (b) -1 (c) 0.0555 (d) 1.425 d What is the fourth smallest value in 0.12, -0.4, 0.4, -0.246? 0.4 Which is the biggest value? (a) 0 (b) -2 (c) 5 (d) 118 (e) -4 d Which is the third smallest value? (a) 0.4 (b) 1686 (c) 1/9 (d) 0.1 (e) -981 c What is the second biggest value in 5, 4, -1.7, -396, 1006? 5 Which is the biggest value? (a) -3631/3 (b) -19 (c) -1/9 c Which is the smallest value? (a) 0.0386689 (b) 0.2 (c) 4/5 (d) 0.09 a Which is the biggest value? (a) 30683 (b) 2/7 (c) -7484 a Which is the second smallest value? (a) 1/3 (b) 2/9 (c) -32/3 (d) 1/7 (e) 0.114 (f) 0.5 (g) 0.2 e Which is the smallest value? (a) 0 (b) 6068.834 (c) -1/4 c Which is the third biggest value? (a) 26 (b) 2/1023 (c) -26 c What is the biggest value in -3/7, 6998, 0.3, 0, -5, 1, -1/5? 6998 Which is the biggest value? (a) -2 (b) 6 (c) -39 (d) 0 (e) 2/7 (f) -89 b Which is the fourth biggest value? (a) -0.3 (b) 2970 (c) -3/17 (d) -4 (e) -6 d What is the smallest value in 278, -8, -13, -3, 0.0489? -13 Which is the fourth smallest value? (a) 1/6 (b) -2 (c) -740/43 (d) 6.03 d Which is the fourth biggest value? (a) 0.742 (b) 0.5 (c) -3/2 (d) 0.09 (e) -5 (f) 0.4 d Which is the third smallest value? (a) 1.17 (b) -2/7 (c) 80 (d) -4 a Which is the fifth smallest value? (a) 0.04 (b) 0.2 (c) 0.6 (d) 2/485 (e) -4/3 (f) 4 c Which is the fifth biggest value? (a) 2/7 (b) 11.8 (c) 679 (d) 1/3 (e) 0.09 (f) 3 a Which is the biggest value? (a) -128 (b) 34842 (c) 1 b Which is the fifth smallest value? (a) -4 (b) 164 (c) 84 (d) -44 (e) -23/4 b What is the third biggest value in -5/4, 256385, 0, 1/4? 0 Which is the fourth smallest value? (a) 14 (b) -1/3 (c) 4.9 (d) -694 a Which is the second smallest value? (a) 19 (b) 23 (c) -68 (d) 539 a What is the fifth biggest value in -1, -40, -71, 1/9, 1/3, 3, -23? -23 What is the smallest value in -15, 1, -51, -0.6, -0.3, 7? -51 Which is the fifth biggest value? (a) 1/6 (b) -6 (c) -0.5 (d) 0.5 (e) -3 (f) 93409 (g) 0.1 c Which is the second biggest value? (a) 14 (b) -0.5 (c) -1/3 (d) 0.2 (e) -2/1129 (f) -1 (g) -0.24 d Which is the fifth smallest value? (a) -1/2 (b) -32 (c) 16.7 (d) 83 (e) -1 d What is the fourth smallest value in 3/140, -2.189, 0.5, -1, -0.7? 3/140 Which is the seventh biggest value? (a) 2 (b) -1 (c) 5 (d) 8 (e) -2/9 (f) -3 (g) -710 g Which is the fifth biggest value? (a) -2 (b) 3/5 (c) 1/3 (d) -1 (e) -966 (f) -1/48 a What is the second biggest value in -14/71, -3/5, 0, 5/3, -2, -3, 5? 5/3 Which is the fourth smallest value? (a) -2 (b) -61280 (c) -1 (d) -0.8 (e) -3 (f) 1/3 c What is the third biggest value in 1/4, 18, 210, 0.2? 1/4 What is the third smallest value in 0.2, 2, -181791, 4, -3/2, -3/8, 1/4? -3/8 What is the fifth biggest value in -3, -10, -31, 103, 0.1, 1, 2? -3 What is the biggest value in 0.1, 1/8, -5, 0.0114, 0.4, 0.171, 2/13? 0.4 Which is the third biggest value? (a) -3/28 (b) 3 (c) -18876 (d) -1 d Which is the seventh biggest value? (a) 0.2 (b) 148 (c) 383 (d) -2/7 (e) 8 (f) -3/2 (g) 5 f Which is the fourth smallest value? (a) -18 (b) -2/353 (c) 5/2 (d) 122 d Which is the third biggest value? (a) 0.123 (b) 6119 (c) 1/11 (d) 2 (e) 2/7 (f) -0.2 e What is the sixth biggest value in -1/8, 1/13, -3/8, -0.2, 1/4, -0.0589, 25? -0.2 Which is the fifth biggest value? (a) -0.2068 (b) -2 (c) 0.05 (d) 1/38 (e) -5 (f) 1 b What is the second smallest value in -3.4774, 152, -2/5? -2/5 Which is the biggest value? (a) 2/11 (b) -11132 (c) -1 (d) 71/2 d Which is the fourth smallest value? (a) 7 (b) -0.02 (c) -5 (d) -0.5 (e) 2 (f) 4/3 f Which is the second smallest value? (a) 1 (b) -0.205 (c) 18129 a Which is the fourth smallest value? (a) -17 (b) 0.2 (c) 951 (d) -1.4 c What is the third smallest value in 3/2, 0.2, -0.68, 4, 0.34, -21, 6? 0.2 What is the second biggest value in 0.107, 42911, -5? 0.107 What is the biggest value in 1, -4, -3, 0.14, 5, -0.422322? 5 Which is the second biggest value? (a) 85/58 (b) -4 (c) -2/19 (d) 2/5 (e) -7.3 d Which is the second smallest value? (a) -7 (b) 2/15 (c) -20 (d) 41844 a Which is the third biggest value? (a) -0.29 (b) -1/6 (c) -1452.64 c Which is the third smallest value? (a) -2/33 (b) -3/8 (c) -6/11 (d) 1/9 (e) 2 (f) 0 a What is the second biggest value in 27/539, 109, 0.1, -1/5? 0.1 What is the second biggest value in 53846, -3, -230, -0.1? -0.1 Which is the third biggest value? (a) -2 (b) 1/4 (c) -3 (d) 123/1751 a Which is the sixth smallest value? (a) 1 (b) 4 (c) 0.3 (d) -122/17 (e) 5 (f) -0.3 (g) -12 b What is the second biggest value in -0.971, -1, 14948? -0.971 Which is the third biggest value? (a) -22076.1 (b) 2/19 (c) 0 a What is the smallest value in 2/5, -42/13, 2/13, -6/17, -16? -16 What is the smallest value in 87, 3492.9, 2/3? 2/3 What is the second smallest value in -7453, -12, 1.86? -12 Which is the biggest value? (a) 8 (b) 0.3 (c) 5 (d) 2/13 (e) -0.1 (f) 6 (g) -0.014 a What is the fifth biggest value in -27, 0.9, -3/4, -0.4, -2, 1? -2 What is the fourth smallest value in -2453, 0, 132, 0.5? 132 What is the fifth biggest value in -7/5, -10/7, 6, -2, -1/559? -2 Which is the smallest value? (a) 0.8 (b) -592.2 (c) -12 (d) 4/3 b Which is the third biggest value? (a) -26/816209 (b) 1 (c) 5 (d) -2/13 a Which is the fourth smallest value? (a) -4 (b) -5 (c) -1560423 (d) 4 d What is the third smallest value in -46, -27, 31/2, 0, -1? -1 Which is the smallest value? (a) 111/7 (b) -709 (c) -2/49 b What is the fourth smallest value in -1105, -0.51, 7, -50? 7 Which is the third biggest value? (a) 12 (b) -315 (c) -0.02 (d) 2/9 (e) 28/13 (f) 1/2 f Which is the fifth smallest value? (a) 6 (b) -777 (c) -15.33 (d) 0.2 (e) 2 (f) 0.5 (g) 0 f What is the third smallest value in 1, -42668, -1, -317, 0.5? -1 Which is the fourth smallest value? (a) 2/71 (b) 0.0125 (c) -2 (d) -5 a What is the fifth smallest value in 43.6, 9, 0.1, 1/2, -0.2, -4, 1? 1 Which is the sixth biggest value? (a) 0.2 (b) 1037 (c) 29/11 (d) -5 (e) -2/5 (f) 6 d Which is the biggest value? (a) -0.2 (b) -9/316 (c) -4 (d) 0 (e) -10 d What is the third smallest value in -239, -2739, -1/2, 0.4, 4/5, -5/2, 4? -5/2 What is the smallest value in 41, 47/6, -3, -3/466? -3 Which is the fifth biggest value? (a) 0.6 (b) -1/2 (c) 22 (d) 2862/5 (e) -12 (f) -4 f What is the fifth biggest value in -5, 19.9, -7.6, -2/13, 5, -2/15, 0? -2/13 Which is the biggest value? (a) -767370 (b) -5 (c) -0.2 c Which is the third smallest value? (a) -4 (b) 1/12 (c) 1257253 (d) 3 d Which is the fourth biggest value? (a) 0.07 (b) 0.71 (c) -2/3 (d) 3 (e) -1/11 (f) -21 (g) -0.4 e Which is the biggest value? (a) -520 (b) -1/16 (c) -0.44 (d) 5 (e) -2 d What is the fourth smallest value in -2/725, -2/5, -5, 0.2, -4, -156? -2/5 Which is the fifth biggest value? (a) -11/49 (b) 5.092 (c) 3 (d) 0 (e) -0.1 a What is the biggest value in -69, -0.3, -2/77, 0.158? 0.158 What is the third biggest value in 0.4, -5, 1, 33, -15/4, 5? 1 What is the second smallest value in -3, 348, -5, 285/37? -3 What is the biggest value in -1/8, -0.3, -1/6, -9/7, -33, 9? 9 Which is the second smallest value? (a) 0.04 (b) -3/3577594 (c) -0.5 b Which is the biggest value? (a) 6/31 (b) -1146 (c) -4 (d) -12 (e) 2 e What is the smallest value in -5, -0.3, 12, 285, -2/2323? -5 Which is the second smallest value? (a) 41.6 (b) -641 (c) 1/4 (d) -2 d Which is the third biggest value? (a) -4/9 (b) -0.13 (c) 0.3 (d) -2/605 (e) 0.04 (f) -0.4 d Which is the third smallest value? (a) -2/133 (b) 97.2591 (c) 5 b What is the third smallest value in -1.4, 0.21, 4/7, 0.4, 134, -2/7, 0.1? 0.1 Which is the fourth biggest value? (a) 4 (b) -3 (c) 0 (d) -10/7 (e) 32817 (f) 0.2 (g) -0.2 c Which is the fourth smalles
{ "pile_set_name": "DM Mathematics" }
is prob of sequence wgg? 3/56 Calculate prob of sequence yl when two letters picked without replacement from wpwwyypypppyppwfyyll. 3/95 Three letters picked without replacement from eiijjivwwijjie. Give prob of sequence jvw. 1/273 Three letters picked without replacement from dqkdkdfgdgffdfd. Give prob of sequence qkf. 4/1365 What is prob of sequence mm when two letters picked without replacement from {m: 3, j: 2}? 3/10 Three letters picked without replacement from {v: 8, h: 3}. What is prob of sequence vhh? 8/165 What is prob of sequence qqkk when four letters picked without replacement from {q: 7, k: 3, w: 5, n: 3, f: 1}? 7/2584 Three letters picked without replacement from {x: 1, d: 9, t: 5, a: 1, h: 1}. Give prob of sequence adt. 3/272 What is prob of sequence bsss when four letters picked without replacement from sssbsssbbssrsbbssb? 11/136 Three letters picked without replacement from ggggggg. Give prob of sequence ggg. 1 Two letters picked without replacement from {e: 7, o: 1, f: 1, n: 4, y: 4, c: 3}. What is prob of sequence of? 1/380 Calculate prob of sequence hgs when three letters picked without replacement from {c: 1, w: 3, s: 2, e: 2, g: 3, h: 1}. 1/220 Two letters picked without replacement from qqktttssqtosssn. Give prob of sequence tt. 2/35 Two letters picked without replacement from vvvvhsssvvsvsssvvsvs. Give prob of sequence sv. 9/38 Calculate prob of sequence bttw when four letters picked without replacement from wbtptpttwttbbww. 1/91 What is prob of sequence ke when two letters picked without replacement from {e: 2, m: 3, h: 2, k: 4}? 4/55 What is prob of sequence dd when two letters picked without replacement from {d: 5}? 1 Calculate prob of sequence ee when two letters picked without replacement from {n: 5, e: 4, o: 3}. 1/11 Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}. 1 Calculate prob of sequence xra when three letters picked without replacement from xxaxsrstraassxxxxr. 7/544 Calculate prob of sequence rbp when three letters picked without replacement from bbvvrrrrvvvbpbv. 8/1365 Two letters picked without replacement from {t: 4, w: 4, n: 3}. Give prob of sequence ww. 6/55 Three letters picked without replacement from msqtw. Give prob of sequence wqt. 1/60 Four letters picked without replacement from {q: 1, w: 1, v: 2, p: 1, y: 1, h: 1}. What is prob of sequence phqv? 1/420 Calculate prob of sequence wfwx when four letters picked without replacement from xwwfw. 1/20 Two letters picked without replacement from {f: 1, v: 1, n: 3, g: 2, t: 1, i: 3}. What is prob of sequence vt? 1/110 What is prob of sequence kzbb when four letters picked without replacement from {z: 2, b: 2, k: 2}? 1/45 Four letters picked without replacement from twtwttyyztts. What is prob of sequence swzt? 1/990 Calculate prob of sequence vv when two letters picked without replacement from {v: 6, b: 2}. 15/28 Three letters picked without replacement from {r: 3, g: 2}. What is prob of sequence ggr? 1/10 Three letters picked without replacement from {b: 4, z: 5, h: 6}. What is prob of sequence zzb? 8/273 Three letters picked without replacement from {q: 5, r: 2, o: 3, c: 5}. What is prob of sequence oqc? 5/182 What is prob of sequence mtfx when four letters picked without replacement from {m: 2, t: 2, x: 2, f: 1, b: 1}? 1/210 What is prob of sequence eyn when three letters picked without replacement from yeyneyyyee? 1/36 Two letters picked without replacement from ppbqmjsbmbmpj. Give prob of sequence bj. 1/26 What is prob of sequence rrrs when four letters picked without replacement from {r: 4, s: 2}? 2/15 Four letters picked without replacement from {q: 2, s: 1, m: 1, x: 1, p: 1, g: 1}. Give prob of sequence qsgx. 1/420 Two letters picked without replacement from {f: 1, l: 6, u: 1, r: 3, y: 4}. What is prob of sequence fy? 2/105 Four letters picked without replacement from {g: 3, k: 2, x: 5, v: 10}. What is prob of sequence kvxx? 10/2907 What is prob of sequence oooo when four letters picked without replacement from {o: 10}? 1 Two letters picked without replacement from txxxxtttxbxxxx. What is prob of sequence xb? 9/182 Four letters picked without replacement from hhhhhhhd. Give prob of sequence hhhh. 1/2 Calculate prob of sequence bb when two letters picked without replacement from bbf. 1/3 Two letters picked without replacement from hhhhhchchhhc. What is prob of sequence ch? 9/44 Three letters picked without replacement from {d: 7, p: 12}. Give prob of sequence ddd. 35/969 Two letters picked without replacement from {a: 3, j: 2, b: 3}. What is prob of sequence aj? 3/28 Four letters picked without replacement from {k: 2, m: 1, r: 2, p: 1, s: 1, i: 1}. What is prob of sequence sssp? 0 Calculate prob of sequence icv when three letters picked without replacement from {i: 4, e: 7, t: 2, c: 3, v: 2}. 1/204 Calculate prob of sequence yg when two letters picked without replacement from {a: 3, s: 1, g: 2, y: 4}. 4/45 Two letters picked without replacement from {r: 5, a: 4, y: 5, w: 1, z: 3}. Give prob of sequence yr. 25/306 Two letters picked without replacement from {k: 1, p: 3, m: 3, j: 3, z: 3, b: 1}. What is prob of sequence kj? 3/182 Four letters picked without replacement from {s: 4, z: 15}. Give prob of sequence szzs. 35/1292 Calculate prob of sequence qqww when four letters picked without replacement from wqqqwqq. 1/21 What is prob of sequence cll when three letters picked without replacement from cllcclllccllc? 21/143 What is prob of sequence qd when two letters picked without replacement from dddqddqdqddddq? 20/91 What is prob of sequence gkw when three letters picked without replacement from {k: 8, v: 6, p: 2, w: 1, q: 2, g: 1}? 1/855 Three letters picked without replacement from nnrrrnrngrrrgnn. What is prob of sequence rng? 2/65 What is prob of sequence sf when two letters picked without replacement from {s: 4, f: 2, c: 3, e: 8}? 1/34 What is prob of sequence vst when three letters picked without replacement from vvhstsvsvtvhvtvvs? 2/85 Calculate prob of sequence avs when three letters picked without replacement from {a: 3, v: 8, l: 2, s: 2}. 8/455 Three letters picked without replacement from {c: 6, n: 3, d: 3, y: 3}. What is prob of sequence ycd? 9/455 Three letters picked without replacement from {s: 16, v: 4}. What is prob of sequence ssv? 8/57 What is prob of sequence ff when two letters picked without replacement from faf? 1/3 Four letters picked without replacement from sngnkbbugguu. Give prob of sequence gsgu. 1/660 Two letters picked without replacement from mggmfmfhm. What is prob of sequence hg? 1/36 Calculate prob of sequence eq when two letters picked without replacement from {e: 2, q: 9, d: 8}. 1/19 What is prob of sequence cdf when three letters picked without replacement from {e: 4, y: 2, f: 7, c: 5, d: 2}? 7/684 What is prob of sequence xxyo when four letters picked without replacement from yoxxxlyyyolyo? 3/572 Three letters picked without replacement from {f: 2, u: 2, m: 1, z: 11}. Give prob of sequence zfm. 11/1680 What is prob of sequence zu when two letters picked without replacement from pezueupepp? 1/45 Two letters picked without replacement from {i: 1, v: 2, q: 2, z: 6, s: 3, b: 1}. Give prob of sequence qi. 1/105 Two letters picked without replacement from jjjxfxjqfjjjxxffqxj. Give prob of sequence ff. 2/57 Two letters picked without replacement from eeeee. Give prob of sequence ee. 1 Three letters picked without replacement from {f: 3, g: 1, o: 5, v: 3, z: 1, s: 2}. Give prob of sequence fzo. 1/182 Three letters picked without replacement from piiiiipiiii. What is prob of sequence pip? 1/55 Three letters picked without replacement from shzzasqvazszvhv. What is prob of sequence hva? 2/455 Calculate prob of sequence ff when two letters picked without replacement from kkkdfkfkokfdokkdo. 3/136 Three letters picked without replacement from {e: 1, z: 8, h: 1, b: 6}. Give prob of sequence bbe. 1/112 Calculate prob of sequence vdd when three letters picked without replacement from vvddvvv. 1/21 Three letters picked without replacement from {a: 2, t: 1, o: 3, h: 6}. Give prob of sequence ooo. 1/220 Calculate prob of sequence fsyd when four letters picked without replacement from {f: 1,
{ "pile_set_name": "DM Mathematics" }
, b Let a be (-10)/66 - 8/44. Sort -2/7, 1/178, a in descending order. 1/178, -2/7, a Let g = 137/1144 - -3/88. Let j = 5.07 - 0.07. Put g, j, 8 in decreasing order. 8, j, g Suppose 2*v + 3*v = 10. Suppose v*b + 5*g = -28, -5*b = -2*b - g + 8. Put -3, 27, b in increasing order. b, -3, 27 Let i be -1 - (1 + -1) - -10. Sort -1, i, 2, 3. -1, 2, 3, i Let v be ((-6)/(-10))/((-100)/500). Let g(a) = 3 - a + 3*a**2 - 2 - 4*a**2. Let u be g(1). Sort -5, u, v. -5, v, u Let q = 106708 + -201778. Let c = q - -476916/5. Let n = c + -312. Put 1, n, 4/5 in descending order. n, 1, 4/5 Suppose 0 = 2*s - s. Suppose -25*g + 134 = 84. Let b(q) = q**2 + 8*q + 5. Let y be b(-7). Put s, g, y in decreasing order. g, s, y Let n = 135 - 73. Let r = n + -63. Put -3, 4, r in ascending order. -3, r, 4 Let i = -108 - -57. Let g = -203/4 - i. Put g, 0, 0.5 in ascending order. 0, g, 0.5 Let w = 68 - 66. Sort 1, -0.4, -4, w in descending order. w, 1, -0.4, -4 Suppose 0 = 5*i + 4*u + 30, 5*i = -2*u - 24 + 4. Let x(z) = -2*z + 14. Let m be x(7). Suppose m = -c - 1 + 5. Sort i, 1, c in descending order. c, 1, i Let z be -3 - ((-98)/(-28))/((-1)/2). Suppose j - 3*j - 18 = 0. Sort z, j, -1 in increasing order. j, -1, z Let b(n) = n**3 - 46*n**2 + n - 41. Let r be b(46). Put 0, -0.3, r, 32 in decreasing order. 32, r, 0, -0.3 Let w(q) = q**3 - 7*q**2 + 1. Suppose 0 = -3*g + 2*v + 20, -2*v = 2*g + 3*v - 45. Let h = 17 - g. Let m be w(h). Put 0, -1, m in decreasing order. m, 0, -1 Let i(g) = 6*g + 10. Let n be i(-4). Let z = 30 + n. Let y be -3 - (-2 + z/(-12)). Put y, 3, -0.2 in increasing order. -0.2, y, 3 Suppose -5*r = -2*n - 10, 15 = -n + r + 7. Let f = 13 + n. Put f, -2, 1 in descending order. f, 1, -2 Let k = -2045.6 + 2039. Sort -1, k, -2 in decreasing order. -1, -2, k Suppose 0 = 4*z + 3*m - 10, -3*m - m - 16 = -2*z. Suppose s = z - 8. Sort -1, s, -5 in descending order. -1, s, -5 Suppose -3*s + 817 = 808. Put 4, s, -3, 0 in ascending order. -3, 0, s, 4 Let d = -1 + 3. Suppose 2*g = g - d. Sort 7, g, 0 in increasing order. g, 0, 7 Let m = 18 + -6. Let h(t) = -t**3 + 13*t**2 - 12*t - 3. Let x be h(m). Sort -4, -2, x. -4, x, -2 Let x(b) = 5*b - 59. Let m be x(19). Put -4, m, 1 in ascending order. -4, 1, m Let g = 21 - 16. Put g, -51, -1 in decreasing order. g, -1, -51 Let y = 105 + -109.1. Put y, 0.3, 3 in decreasing order. 3, 0.3, y Suppose -4 = -b - b. Suppose 2*r = -r + b*m - 38, 0 = -2*r - 5*m. Sort 5, r, 4. r, 4, 5 Let l = -2813 + 2817. Suppose 4*n + n + 30 = h, -2*h = 4*n + 10. Sort -3, h, -5, l. -5, -3, l, h Suppose 8*h = 42 + 14. Suppose 0 = 3*g + 13*g - 16. Put 4, -2, g, h in ascending order. -2, g, 4, h Let d = 149 - 309. Let z = d + 160.4. Put 4, z, -12 in ascending order. -12, z, 4 Let j = -113.4 - -113. Let m = 0.6 - 0.9. Sort j, m, -15 in ascending order. -15, j, m Let p = -1513.02 + 1513. Sort p, -2, -7, -5 in descending order. p, -2, -5, -7 Let g = -10 + 25. Let o = -22 + g. Let p = o + 7.5. Put 4, 1/3, p in descending order. 4, p, 1/3 Let r(b) = b**2 + 6*b - 7. Let q be r(-7). Let f be 2/10 + q - (-836)/220. Let m = 11 + -8. Sort -2, m, f. -2, m, f Let w = -0.1 - -0.1. Suppose 5*l + 0 = 115. Let z = l - 20. Sort w, 2/13, z. w, 2/13, z Let f = 2 + -2. Let i = 0.1 - f. Let t = -72/121 - 268/363. Sort t, -0.5, i. t, -0.5, i Let z = -5.73 + 1.73. Put 0.3, 0.09, z in ascending order. z, 0.09, 0.3 Suppose -k = -4*k + 4*k. Suppose k = 5*i + 6 + 4. Let h = 10 - 5. Sort h, i, -0.3. i, -0.3, h Let u be -7 + 11 + 1*33. Suppose 0 = -5*v - 4*x + u, -v = -0*x + x - 8. Sort 0, v, -4 in decreasing order. v, 0, -4 Suppose -4*i = 5*z - 7*i - 20, -4*z - 5*i - 21 = 0. Sort 451, z, -1. -1, z, 451 Let d = 10 + -10. Let c = 26.7 - 27. Let g be -1*(22/8 + -2). Put d, c, g in decreasing order. d, c, g Let i = -156 - -783/5. Let j = -97 - -92. Sort i, j, -4 in decreasing order. i, -4, j Let a = -164 - -160. Sort -5, a, -1, -3 in increasing order. -5, a, -3, -1 Let w = -302 - -295. Put 3, w, 4, -26 in descending order. 4, 3, w, -26 Let h(i) = i**3 + 10*i**2 - 14*i - 36. Let k be h(-11). Sort k, -0.2, -0.3 in ascending order. k, -0.3, -0.2 Let k = -2/15 - -7/15. Let u = k - -1/6. Sort 1/6, u, 0.3 in increasing order. 1/6, 0.3, u Let l = 0.6 + -0.9. Let z = l + 0.4. Let i be (6/9*-3)/(3 - 6). Sort 1, z, i in ascending order. z, i, 1 Suppose -613 = -3*j + 3*h - 7*h, -2*j = -5*h - 447. Sort 5, j, -2 in decreasing order. j, 5, -2 Let s be (5658/36)/(-23) + 7. Sort 1/5, s, 2/9, 2/21 in descending order. 2/9, 1/5, s, 2/21 Let c = -38 + 33. Let p = -8.7 - -9.1. Put 5, p, c, 14 in decreasing order. 14, 5, p, c Let p = -0.16594 - 0.03406. Let s = -4.04 - -0.04. Put p, -1/8, s in descending order. -1/8, p, s Let o = -378 - -376. Let h be 1/(1/(-3 + 2)). Put 6, h, o in decreasing order. 6, h, o Let b = 8.75 - 8.35. Let x be -2 + 1 - (5 + -3). Sort -0.18, x, 0.3, b. x, -0.18, 0.3, b Let j be (-5)/(-3) + 112/48. Put -1, -4, 1, j in ascending order. -4, -1, 1, j Let a(x) = x**2 + 20*x + 97. Let t be a(-8). Let p = -2 - -1. Let m be 96/45 - (t - p). Sort m, 10, 0 in increasing order. 0, m, 10 Suppose 4*g - 88*g = -252. Let w(h) = 5*h**3 - 2*h**2 + 1. Let c be w(1). Let x = -1 - -1. Put x, g, c in decreasing order. c, g, x Let p = -1098 + 1103. Let v(d) = d**2 - 3*d - 4. Let a be v(4). Sort -1/5, a, p. -1/5, a, p Let u = 13 + -105/8. Suppose -3*z = 2*s - 18 - 38, -4*s = 8. Let r be 45/z*(-12)/(-9). Sort -5, u, r in increasing order. -5, u, r Let y be (-2)/9 - -20*(-1)/(-9). Sort y, 5, -37 in decreasing order. 5, y, -37 Let f = -24 + 24. Let n be (40/(-15))/(2/(-3)). Let p = -1 - n. Sort f, p, -2 in decreasing order. f, -2, p Let a = -228 - -227.9. Put 1, 3, a in increasing order. a, 1, 3 Let r be (-3)/(-3)*(1 + 0 + 4). Let q = 2 + 2. Put r, q, 0, 9 in descending order. 9, r, q, 0 Let n = 240.5 + -161.4. Let l = n - 55. Let c = -24 + l. Put -8, -1/6, c in ascending order. -8, -1/6, c Let l(g) = -11*g**2 + 9*g + g**3 + 5*g**2 - g**2 - 5. Suppose -s - 6 = -0*s + 3*v, -4*v - 28 = -2*s. Let w be l(s). Put w, 1, -1 in ascending order. -1, 1, w Let j(c) = -17*c + 3. Let k be j(-2). Suppose 5*q - 12 + k = 0. Sort -3, -7, q. -7, q, -3 Suppose -14 = -5*c + 6. Suppose -14*u = -11*u + 21. Sort c, -2, u in increasing order. u, -2, c Let y = 136 + -133. Let i = 0.66 - 0.7. Let w = -0.04 - i. Put w, y, -2/7 in decreasing order. y, w, -2/7 Let z(i) = -4*i + 22. Let f = -38 + 43. Let w be z(f). Sort 1, -1, w in descending order. w, 1, -1 Let k(g) = g**2 - 6*g + 10. Suppose 24 = -4*z + 10*z. Let r be k(z). Sort r, 4, -2 in increasing order. -2, r, 4 Let x = -82.4 - -85. Let z = 2.9 - x. Sort z, -0.4, -4, -2/9 in descending order. z, -2/9, -0.4, -4 Let u be -5 + (742/(1 + 6))/2. Put u, -5, -3 in descending order. u, -3, -5 Suppose 0 = o + 2. Suppose q = 4*u - 116, -u + q = 2*u - 88. Let b be (-14)/(-8) - (-7)/u. Sort o, b, 5 in descending order. 5, b, o Suppose -6*c + 11*c = -3*a + 10, -2*a = -4*c - 14. Sort -2, 0.6, c, 2/7. -2, c, 2/7, 0.6 Let b be 7 + (-209)/44 + -3. Sort -0.03, 3, -4, b. -4, b, -0.03, 3 Suppose -10*o + 3*o - 7 = 0. Sort o, -2, -21 in decreasing order. o, -2, -21 Suppose 3 = -2*o + 2*a - 5*a, o = -5*a - 5. Let s = 13 - 15. Let h be (s - -1)/(3/(-9)). Put h, 5, o in decreasing order. 5, h, o Let j be (53 - 32)*((-4)/(-6))/(-2). Let p(r) = r**2 + 10*r + 16. Let v be p(j). Sort v, -1, 1, 0. v, -1, 0, 1 Let p be (18/(-12))/((-15)/20). Suppose 6*h = -p + 14. Sort -8, h, -3. -8, -3, h Let z = 6 + 19. Let y = 24 - z. Suppose -4*b = 4*j + 20, -6*b + 2*b - 18 = 3*j. Put y, b, -2 in decreasing order. y, -2, b Let i be 9/3 + -1*1. Let z(n) = n + 2. Let k(x) = -2*x**2 + 2*x + 2. Let a be k(2). Let j be z(a). Put i, j, 2/3 in ascending order. j, 2/3, i Let t = 26/11 + -115/44. Let w = -9.8693 + -0.1107. Let s = 0.02 - w. Put s, 1/11, t in decreasing order. s, 1/11, t Let c be 2 + 2 + -2 - 0. Let w be (17 + -3)*c/(-4). Sort w, 0, 3 in descending order. 3, 0, w Suppose 20*t - 76 = t. Put 20, t, 0, -4 in increasing order. -4, 0, t, 20 Let w = 22 - 15. Let f = -2 + w. Let q = 926/3 + -306. Sort 1, q, f in increasing order. 1, q, f Let o = -42 + 42. Suppose 5*y - 2*c - 1 = o, -1 = -y - c - 5. Sort y, -15, 2/7 in increasing order. -15, y, 2/7 Let i = 0.24 + -0.48. Let r = i - -0.34. Sort -2, -5, r in descending order.
{ "pile_set_name": "DM Mathematics" }
mon divisor of z and j? 8 Suppose 5*b = -0*d - 2*d + 56, -b - 2 = 0. Let q = 27 - 16. Let y be (-1 + -2 - -3) + q. Calculate the greatest common divisor of d and y. 11 Suppose 12*d - 539 = 5*d. Let l(i) = -i**3 - 7*i**2 + 17*i - 8. Let j be l(-9). Let q = j - -6. What is the highest common factor of q and d? 7 Let o be (-3)/9 - 438/(-18). Suppose 14*u = 22*u - o. What is the highest common factor of u and 78? 3 Let a be (2/4)/((-609)/(-606) - 1). Suppose -4*m - 5*b + 375 = 0, 2*m - a - 86 = -3*b. What is the highest common factor of 19 and m? 19 Let h(k) = -33*k - 19. Let q be h(-1). Let u be (-210)/10*3*-2. What is the greatest common factor of u and q? 14 Suppose -2*t + 2 = 0, -29*v + 68 = -26*v - t. Calculate the greatest common divisor of 115 and v. 23 Let u be 1 - 4/(-8)*38. Suppose 4*o - 36 - u = 0. Let z = -105 - -161. Calculate the highest common factor of o and z. 14 Let n(m) = -m**2 + 2*m + 3. Let f be n(3). Suppose f = q + 3*q. Suppose -t + q*t = 5*d - 46, -d + 2*t = -7. What is the greatest common factor of 36 and d? 9 Let a be (7665/(-28))/((-9)/(-24)*-1). What is the greatest common divisor of a and 10? 10 Let r = -199 - -409. Suppose 6*y - 318 = r. Calculate the highest common divisor of y and 8. 8 Let c = -491 - -289. Let y = -103 - c. Suppose 0 = -2*d - v + 24, -v - v = d - 15. What is the highest common factor of d and y? 11 Let c = 40 - 39. Suppose 3*d + 4 - 7 = 0. Calculate the highest common factor of c and d. 1 Let w be -2 + 5*-1 + -1. Let d(h) = 6*h - 100. Let g be d(8). Let t be g/6*12/w. Calculate the greatest common divisor of 26 and t. 13 Let m be 44/(-2)*273/(-42). Let q = 5 + -5. Suppose 3*o - 39 = -q*o. Calculate the highest common factor of o and m. 13 Let s = -26 + 30. Suppose -46 = -3*h - s. What is the greatest common factor of h and 7? 7 Let g(d) = d**2 - 2*d - 5. Let a be g(7). Suppose -420 = -9*l + 7*l. What is the highest common factor of a and l? 30 Let u be 19/(-133) - (-58)/14. Let x be 45 - (-4 + u/4). Suppose 3*f - f - 64 = 0. Calculate the greatest common factor of x and f. 16 Suppose 0 = 4*c + c - 70. Let p be 14/49 + (-4)/c. Let a be (16/(-5) + p)*-5. Calculate the greatest common factor of 112 and a. 16 Let k(x) = x**3 - 16*x**2 - 9*x - 5. Let f be k(17). Suppose -c + f = 4*g - 2*g, 5 = 5*c. Calculate the greatest common divisor of 13 and g. 13 Let z = -27 + 13. Let i = z + 16. Let r be (4 - i) + 0 + 9. What is the highest common factor of 11 and r? 11 Suppose 0 = 3*i - 6, n + 60 = 4*n + 3*i. Suppose -2*l = l - b - n, 5*b = 0. What is the greatest common divisor of l and 6? 6 Suppose -522 - 162 = -4*t. Let k be (-2)/(-10) - t/(-45). Calculate the greatest common divisor of k and 6. 2 Suppose -175 = 32*z - 39*z. What is the highest common factor of 100 and z? 25 Let k = 11 - 2. Let a = k - 9. Let d(w) = w**2 + w + 330. Let h be d(a). Calculate the highest common divisor of 30 and h. 30 Suppose 0 = 4*j - 4*b - 132, -2*j - 5*b = -4 - 55. What is the highest common divisor of 368 and j? 16 Suppose 77*p + 528 = 81*p. Calculate the highest common factor of 924 and p. 132 Let x = -29 + 34. Let b(y) = -4*y**2 + 0*y**2 + x*y**2 - 10 - y + 0*y**2. Let s be b(-9). Calculate the highest common divisor of 32 and s. 16 Let f be ((-72)/216)/(2 - 523/261). Suppose 2*m - 696 = -4*m. What is the highest common divisor of f and m? 29 Let n(a) = -6*a + 34 - 3*a - 2*a - 6. Let g be n(-7). What is the highest common factor of 42 and g? 21 Let t be (-327)/2*20/(-15). Let x = t + -120. What is the highest common factor of x and 14? 14 Suppose 0*g - 18 = -3*g. Suppose 0 = 6*c + 3 + 3. Let w(v) = 11*v**2 - v. Let b be w(c). What is the greatest common divisor of g and b? 6 Suppose 61*o - 30 = 59*o. Suppose 0 = 4*s + s - 2*p - 604, 5*s - 598 = -p. What is the greatest common factor of o and s? 15 Let i = -103 + 220. What is the greatest common factor of 18 and i? 9 Let m = -46 - -94. Calculate the highest common factor of m and 336. 48 Suppose -x = t - 19, -2*x + 26 = 5*t - 21. What is the greatest common factor of 16 and x? 16 Suppose -9*j + 22*j - 416 = 0. What is the highest common factor of 488 and j? 8 Let u be (-42)/(-8) + -4 - (-12)/16. Calculate the greatest common factor of 14 and u. 2 Let i(k) = 7*k**3 - k**2 + 2*k - 6. Let p be i(3). What is the greatest common divisor of p and 315? 45 Let w(v) = -3 - 3 - 1 - 4*v. Let m be w(-6). Let k(g) = 86*g - 638. Let j be k(9). Calculate the highest common factor of m and j. 17 Let q(x) = -x**3 - x - 136*x**2 + 66*x**2 + 8 + 64*x**2. Let h be q(-7). What is the greatest common divisor of 160 and h? 32 Let k be ((-2)/(-2))/((-31)/(-899)). What is the highest common factor of k and 841? 29 Let v = -614 + 660. What is the greatest common divisor of v and 6? 2 Let a(h) = 5*h - 41. Let k be a(10). Suppose -k = 5*m + 1, 10 = 3*i - 2*m. What is the highest common divisor of 8 and i? 2 Suppose -3*y + 813 + 17 = m, 0 = 4*m + 5*y - 3355. What is the greatest common factor of m and 39? 13 Let i(u) = 2*u**2 - 3*u + 2. Let l be i(2). Suppose -l*z = -2*z + 12. Let r be 32/z*12/(-8). Calculate the greatest common divisor of r and 4. 4 Suppose 13*h - 4*x + 236 = 17*h, -3*h - 4*x = -173. What is the greatest common factor of h and 63? 63 Let s(p) = 6*p - 7. Let o be 105/12 + 9/(-12). Let h = 11 - o. Let v be s(h). Calculate the highest common factor of v and 1. 1 Suppose 0 = -4*i + 5 + 3, -494 = -2*q - 2*i. Calculate the greatest common divisor of q and 7. 7 Let s = -1 + 4. Suppose s*j = 5*j - 6. Suppose -4*a = -j - 5. Calculate the greatest common divisor of a and 1. 1 Suppose 36 = 3*p + p - 4*g, -2*p = 4*g - 36. What is the greatest common divisor of 150 and p? 6 Let p(y) = 34*y + 1554. Let j be p(-45). Let k = 80 - 56. What is the greatest common factor of j and k? 24 Let u be 2*(3 - 1 - (-293)/2). What is the highest common divisor of u and 33? 33 Suppose -4*q = 2 - 494. What is the highest common factor of q and 410? 41 Let j be 5 + (-25)/(-15) - 2/3. What is the highest common factor of j and 318? 6 Let r(c) = c**3 + c**2 - c + 5. Let l = -7 - -10. Let w be r(l). What is the highest common divisor of 19 and w? 19 Suppose g = -g + 84. Let d be (54 + -110)*2/(-4)*1. What is the highest common divisor of g and d? 14 Let c(b) = b**3 + 18*b**2 + 24*b - 9. Let m be c(-15). Calculate the greatest common divisor of 36 and m. 18 Suppose 0 = 3*v - p - 7, 0 = -v + 4*p + 5 + 1. Let s be 32/v - (6 - 2). Calculate the greatest common divisor of 24 and s. 12 Suppose -5*a + 4*o = -377, -5*a + 3*o - o = -381. Let d = -2692 + 2699. Calculate the highest common factor of d and a. 7 Let x be 5/((-200)/(-264)) + (4/(-5))/(-2). Suppose -5*t - 4*m = -9, -4*t + 3*m = -0 - 1. What is the greatest common factor of t and x? 1 Let l be -2*((-36)/(-8) - -2). Let v = l + -12. Let f = v + 41. What is the greatest common factor of 80 and f? 16 Let b(s) = s**2 - 3*s - 2. Let y be b(2). Let a be (-6)/1*y/12. Suppose -q + h = -3, -3*h = -4*q + 9 + 4. What is the greatest common factor of q and a? 2 Suppose 0 = -h + 131 - 11. Suppose 0 = -5*t + r + 120, 2*r - 24 = -2*t + t. What is the highest common divisor of t and h? 24 Let f be -3 - 6/9*-9. Suppose 12 = 4*t + 4, 0 = -f*l + 4*t + 49. Suppose 2*d + 161 = 3*v, v - 47 = 4*d - 2*d. What is the highest common divisor of v and l? 19 Let o = 203 - 133. Calculate the highest common divisor of 196 and o. 14 Let w = 3 + 5. Let h = 18 - -18. Suppose 108 = 2*n - 0*b - b, -h = -n + 5*b. What is the greatest common divisor of w and n? 8 Let l be (-389)/(-15) + (-10)/(-150). Calculate the highest common divisor of 26 and l. 26 Suppose 4500 = 45*w - 30*w. What is the highest common factor of 60 and w? 60 Let i(n) = -n**2 + 11*n + 12. Let c be i(11). Let v(x) = x**3 + 9*x**2 - 23*x + 1. Let d be v(-11). What is the greatest common divisor of d and c? 12 Let u(r) = 2*r + 18. Let i be u(26). What is the highest common factor of i and 50? 10 Suppose -1 = 5*r + 9. Let p(v) = -5*v + 20. Let m be p(r). Calculate the greatest common divisor of 20 and m. 10 Let o = -4 - -31. Let v = 27 + -18. What is the greatest common divisor of o and v? 9 Let p = 8 - 4. Suppose 8*n - p*n = 32. Suppose 48 = -6*c + n*c. What is the greatest common divisor of 12 and c? 12 Suppose 3*u = -5*n + 871, -n =
{ "pile_set_name": "DM Mathematics" }
- -3) + -7 + 6. 5 What is (9 - 0) + (1 - 3) + -5? 2 What is the value of -6 + 7 + (-1 - -1)? 1 Calculate 3 + -2 + 0 + (4 - 8). -3 Calculate 1 + -2 + (12 - 7) - 3. 1 -10 + 8 - (-2 + 0 + 5) -5 What is the value of (-4 + 1 - 2) + 10 - 10? -5 Calculate -25 - (-23 + 1) - (1 + 7). -11 0 - (5 - (7 + 1)) 3 Evaluate -3 + 11 + -6 + (2 - -4). 8 What is the value of -1 + (-3 - -1) + 5 - -3? 5 What is -8 - (-7 + 8 + -5)? -4 -3 + 0 - (-3 - 2) - 2 0 (3 - (0 + 10)) + 10 3 (-11 - -11) + (0 - 1) -1 2 + -10 + 6 + -2 -4 What is the value of -56 + 62 - (1 + 9)? -4 What is the value of -3 + (-4 - -8 - -3) + -1? 3 Calculate 28 - 24 - (7 - (4 + -2)). -1 (-1 - 4) + -33 + 36 -2 Evaluate 0 + -2 - (7 - 5). -4 What is -6 + 9 + -1 + 4? 6 1 - (0 + (0 - 0 - -3)) -2 Evaluate (9 - (1 - 2)) + (-188 - -184). 6 Evaluate (3 - 2) + 0 + 4. 5 (23 + -19 - (-1 + -2)) + -2 5 What is -8 - (-19 + 0 + 9)? 2 What is the value of -4 - ((-1 - 9) + 4)? 2 Evaluate (-1 - -4) + -2 + 47 + -47. 1 What is the value of 11 - -1 - (63 - 55)? 4 What is 3 + (-4 - (3 + -2))? -2 Evaluate (5 + -3 - 4) + -4 - -1. -5 7 - (6 - -7) - -6 0 What is -7 - (2 - (4 - -3))? -2 What is the value of -4 + (4 - 1) + -3? -4 What is the value of 17 - (8 + 1 + 1)? 7 What is (4 - (11 - 6)) + -3? -4 Evaluate 36 - 40 - (-9 + 3). 2 Calculate 14 + -6 + -2 - (11 + 3). -8 What is the value of -1 + -2 + 4 + 3? 4 Calculate -4 + 7 + -1 + (4 - 1). 5 (0 - (5 - 3)) + -3 - -9 4 What is 18 - (-7 + (0 - -20))? 5 Evaluate -16 + (-4 - -13) + 9. 2 Evaluate -1 + (4 + 14 - 6) - 4. 7 -14 + (15 - (18 + -10)) -7 What is 8 + (4 - (-1 - (-8 - 1)))? 4 Evaluate -5 + (11 - 9 - (-1 + 0)). -2 What is the value of -2 + -2 - ((-10 - -6) + -3)? 3 What is the value of -9 + 17 - (4 - 0)? 4 (3 - (0 - 3)) + -13 -7 Calculate 18 - 23 - (-3 + -1). -1 Evaluate -9 + 7 + 1 + 7. 6 6 + -10 - (-3 - 3 - 2) 4 Evaluate 2 - 7 - ((2 - 0) + -5). -2 (-1 - 3) + 3 - 0 -1 (1 - -1) + (0 - -5) + -5 2 What is -4 + 2 + 2 + -3? -3 What is -5 + -5 + 8 - (-6 - -2)? 2 -2 - -1 - (4 + -7) - -2 4 9 + -2 + -4 - 5 - -2 0 What is 6 + 0 + -10 + 4? 0 Calculate 14 + (9 - 18) - 5. 0 Evaluate (-22 - -25) + -3 + -1. -1 Calculate 0 + 7 - (196 - 187). -2 What is the value of 9 + -3 - (8 - 3)? 1 What is the value of (-4 + 2 - 4) + -1 + 3? -4 Evaluate (4 - 4) + (0 - -4 - -2). 6 What is (-7 - -4) + 2 - (-9 + 2)? 6 Calculate (2 - -1) + -49 + 45. -1 What is -3 + ((-9 - 1) + 5 - -10)? 2 Evaluate -3 - (-3 + 0 - -2) - -1. -1 Evaluate -1 - 0 - (-3 - (-1 - 2)). -1 What is the value of (1 - (4 - 7)) + -3? 1 5 + 1 + 0 - (3 - 2) 5 Calculate 3 - (-4 - (8 + -21)). -6 Calculate -18 - -20 - (5 - 1). -2 What is the value of 6 - -3 - (12 - (2 - -5))? 4 What is the value of (1 - -1) + (0 - -1) - 3? 0 Evaluate 14 + (1 - 4) - (54 + -49). 6 What is the value of -21 + 19 + -1 + (6 - 1)? 2 Evaluate 0 + 0 + -4 + -8 + 23. 11 Calculate 3 + (-9 - -13) + -7. 0 What is -3 + (4 - (2 + 3))? -4 What is -8 - -2 - -5 - (1 + 1)? -3 Evaluate (6 - -5 - 3) + -6 - -2. 4 -12 + 12 + -5 + 5 0 What is the value of -1 - ((-3 - 0) + (-17 - -14))? 5 What is 7 + (1 - -2) + -3? 7 (2 - 2 - (4 + -2)) + 4 2 What is the value of 0 + -7 + 4 + -1? -4 1 + -3 + (-8 - -6) -4 3 - 5 - (-3 + -4) 5 Evaluate (1 + 4 - (-1 + 1)) + -1. 4 7 - (7 - (7 - 2)) 5 Calculate 0 + 2 + (-9 - (2 - 9)). 0 Evaluate -4 - (11 + -8 - 5). -2 Evaluate -49 + 37 + 8 + 0. -4 What is -43 + 50 + -2 + 1 + -3? 3 12 - 13 - (-7 + 1) 5 Calculate 0 - (4 + 1 + 1). -6 What is the value of (6 - (2 + 1)) + -4? -1 What is the value of 0 + -5 + -3 + (0 - -4)? -4 Calculate (2 + -5 - -11) + -5 + 1. 4 What is the value of 99 - 102 - (2 - (-1 - 0))? -6 Evaluate 10 - 3 - (5 - -3 - 5). 4 What is 4 + (16 + -7 - 7)? 6 Calculate (5 - 13) + (-2 - -14). 4 Calculate 2 - (2 - (-3 + -1 + 2)). -2 Evaluate 4 - (-3 - -5 - -4). -2 Evaluate 17 + -21 + 1 + -1. -4 Calculate -7 - -1 - (2 + -4 + 0). -4 What is the value of (-2 - 1) + -8 + (10 - 0)? -1 Calculate 8 + -3 - (-3 + 5). 3 Evaluate 1 - (-6 - -1) - (254 + -245). -3 Calculate 4 + (5 - 2) + (8 - 12). 3 What is the value of -1 - 1 - (-85 + 80)? 3 What is the value of -11 + 15 + (2 - 7)? -1 Evaluate 3 + (2 - 3) + -7 + 0. -5 What is -4 - 0 - (-5 - 0)? 1 Evaluate 33 + -39 + (2 - -2). -2 What is -3 + (2 + -1 - (-2 + 3))? -3 Calculate (-1 + 2 - 4) + 0. -3 -1 - 4 - -6 - 4 -3 Evaluate (4 + 3 - 2) + (-4 - -2). 3 (-3 - -5) + -1 + 4 5 Calculate -1 + -1 + -12 + 19 + -5. 0 (-4 - -7) + -12 + 11 2 Evaluate -3 - 0 - (-3 - 0). 0 What is the value of (3 - -2) + 0 - (4 - -4)? -3 Evaluate (0 - -4) + (11 - (0 + 18)). -3 What is 9 - (-5 - -10) - 3? 1 Calculate -1 + -4 + (15 - 12). -2 Evaluate -3 + (4 - (5 + -11)). 7 What is the value of 0 - ((2 - 0) + 4 + -3)? -3 What is the value of -3 - ((10 - 8) + 0) - -5? 0 What is 0 - (1 - -1 - (-13 - -14))? -1 1 + 2 + (1 - 3 - -2) 3 What is 0 + -4 + 4 - -1? 1 What is -59 - -60 - (0 - -11)? -10 What is (5 - 2) + -2 - -2? 3 What is -4 + 9 + (-2 + 3 - 6)? 0 Evaluate (3 - -1) + -1 - 6 - 3. -6 -6 + -4 + 2 - (65 + -65) -8 Evaluate -10 + 13 - (7 - 0). -4 What is -5 + (-4 - (-2 - 2)) + 3? -2 What is the value of 0 + 2 + 1 - 0 - 2? 1 Calculate 2 - 2 - -3 - 6. -3 -8 + 0 - -2 - -6 0 What is the value of -4 + 6 - (-1 + 6)? -3 Calculate 2 - (15 - 15 - (-1 + 2)). 3 What is the value of -4 - (2 - (-7 - -12))? -1 Evaluate -5 + -1 + (1 - (-5 - -5)). -5 What is -10 + 10 + 6 - 5? 1 What is the value of -5 - ((5 - 3 - 12) + -1)? 6 What is 3 + (5 - 8) + 8? 8 Calculate (12 - (4 - -1)) + -8 - 3. -4 Calculate 2 + -9 - (-7 + (-10 - -18)). -8 Evaluate (3 - 7) + (1 - -1). -2 9 + -1 - (24 + -18) - 0 2 What is the value of (-2 - 1) + (16 - 10)? 3 What is -1 + 3 + (7 - 7) + 2? 4 What is -6 - (-12 - -7) - -4? 3 2 + -6 + 3 - (1 - 2) 0 (3 - 1) + 3 + 0 + -2 3 Evaluate (-4 - (-8 - -5) - 2) + 3. 0 What is -100 + 89 - (-8 - -1)? -4 What is (4 - (-2 - (-2 - 3))) + 0? 1 1 + 2 + -1 + 3 5 -6 + (5 - (1 + (-1 - -2))) -3 Calculate -2 + 3 + -1 + -1 - 3. -4 Evaluate -6 - -2 - -2 - -3 - 6. -5 Calculate -1 + 6 - (3 + -6 + 6). 2 Evaluate 1 + (-2 - (-2 - 4)). 5 What is the value of -4 + (-1 - -4) + -2 + 6? 3 What is -16 + (11 - (4 + -3))? -6 What is the value of (9 - (2 + -1 + 1)) + -4? 3 Evaluate 4 + (-1 - ((-3 - -6) + -5)). 5 Evaluate 17 + (-6 - -1) + -8. 4 What is the value of (4 - -1) + -8 - -1? -2 -4 + (0 + 0 - (-7 - -8)) -5 What is 8 + (6 - (-6 + 12))? 8 What is (1 - -1) + -2 - (17 - 17)? 0 Calculate (5 - 9) + (3 - 2). -3 Evaluate 5 - (-1 - -6) - -10. 10 Calculate -2 + (5 - 0) + -5. -2 What is the value of 2 - (3 + 1 + -2)? 0 Evaluate 0 + -1 + 0 + (1 - -2). 2 What is the value of (1 - (-2 + -12)) + -9? 6 What is 4 - (7 + (-6 - -4))? -1 77 + -84 - (-1 - 9) 3 What is the value of -2 + -1 - (-8 - -4)? 1 Calculate 6 - (5 - (-7 + 0)) - 3. -9 What is -4 - ((-6 - -5) + -3 + 1)? -1 What is 11 + (-5 + 2 - -3) + -2? 9 Evaluate 1 + 1 + (3 - 5). 0 -3 - (1 - 1) - -6 3 Calculate 11 + (-14 - (11 - 11)). -3 What is the value of -8 + 16 + -13 + 1? -4 Evaluate (3 - (7 + -2)) + -2. -4 Calculate (-16 - -12 - -5) + 6. 7 Evaluate -4 - (-7 - 0) - 0. 3 Calculate 12 + -10 + -11 - -10. 1 What is 1 + 0 - 0 - 4 - -8? 5 Evaluate -3 + 3 + (-7 - -3). -4 What is -4 + (3 - (0 - 2 - -4))? -3 What is the value of (3 - 1) + -1 + -4 + 5? 2 Evaluate (3 - 9) + (-14 - (-5 - 11)). -4 Evaluate -1 - (-10 + 6 - (-7 - 1)). -5 -9 + (-6 - -1 - -11) -3 Evaluate 5 + -4 - 10 - (-4 - -1). -6 What is the value of 0 + -1 - (-1 - 2)? 2 (10 - 6) + (-3 - -8 - 3) 6 Calculate (0 - -2 - 6 - 0) + 0. -4 What is the value of -2 + -3 + -2 + 6? -1 What is the value of (-14 - -36) + -14 - 11? -3 -2 + (-13 - -7) - -6 -2 What is the value of (7 - 16) + (9 - 2) + -2? -4 Evaluate (-2 - 1) + (0 - (-4 + 6)). -5 Calculate -11 + 1 + 6 + (-6 - -5). -5 Calculate 6 + (-6 - -6) - (2 + 3). 1 What is 2 + (-1 + -5 - -5)? 1 Calculate (-1 - (-10 - -12)) + 7. 4 What is the value of 1 - (1 - -4) - (-14 + 8)? 2 -76 - -64 - (-22 + 1) 9 -5 - (0 - (-4 + 4)) -5 Evaluate 1 + -4 - -4 - 5. -4 Evaluate 5 + (2 - 4) + 1. 4 Calculate -5 + (2 - (-5 - -4) - 3). -5 0 - ((-2 - -3) + 4) -5 What is the value of -3 + (-3 - -6) - (-5 - 0)? 5 What is 9 + -12 + (1 - -4)? 2 Evaluate -15 - -3 - (23 + -34). -1 What is the value of 2 - (5 - (5 - 1)) - 7? -6 -1 - ((4 + -3 - 18) + 7) 9 (4 - -1 - 7) + -10 + 5 -7 Calculate 2 + (-5 - (7 + -8)) - -6. 4 Calculate (-5 - (-10 - -2)) + (1 - 1). 3 Calculate
{ "pile_set_name": "DM Mathematics" }
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))? 169362*t**4 Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)). 483368*l + 3 Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)). 52357910*u**2 + 1 Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)). 890*v Let t(n) be the second derivative of -7*n**4/12 - n**3 - 6*n**2 - 37*n. Let u(v) = v**2 + v + 2. Let b(r) = t(r) + 6*u(r). Let j(i) = -97*i. Give j(b(k)). 97*k**2 Let u(t) be the third derivative of -19*t**4/24 + 2*t**3/3 + 12*t**2 - 119*t. Let h(g) = -7*g. Determine h(u(v)). 133*v - 28 Let k be 90241/639 + 2/(-9). Let u be (-2165)/(-15) + (-4)/(-6). Let x(t) = k + u + 4*t - 286. Let b(v) = v**2. Determine b(x(g)). 16*g**2 Let q(f) be the first derivative of -3*f**3 + 10056. Let u(z) = 2*z - 3*z - 6*z**2 + z. What is u(q(b))? -486*b**4 Let g(n) = 2*n**2 + 3. Let u(y) be the third derivative of 0 + 2*y - 1/20*y**5 + 0*y**4 + 0*y**3 - 96*y**2. Give u(g(z)). -12*z**4 - 36*z**2 - 27 Let o(p) = 9*p - 185. Let h(g) = 22*g - 444. Let b(u) = -5*h(u) + 12*o(u). Let f(s) = -20*s - 14. What is b(f(v))? 40*v + 28 Let g(j) be the third derivative of 0*j + 0 - 1/6*j**4 - 2*j**2 + 0*j**3. Let m(t) be the third derivative of -t**5/20 - 12263*t**2. Determine g(m(p)). 12*p**2 Let r(k) be the third derivative of k**8/20160 - k**5/30 + 5*k**4/24 - k**2 - 97. Let v(y) be the third derivative of r(y). Let d(g) = -70*g. What is v(d(n))? 4900*n**2 Let o(b) = -2077*b. Let l(z) = 5*z**2 + 474. Determine l(o(f)). 21569645*f**2 + 474 Let g(h) be the third derivative of -5*h**4/24 - 377*h**3/3 + 4*h**2 - 29. Let c(b) = -b. Calculate c(g(m)). 5*m + 754 Let t(o) = 92*o - 84. Let w(c) = 180*c - 154. Let m(q) = 11*t(q) - 6*w(q). Let z(n) = -n + 3*n + n. Calculate m(z(u)). -204*u Let g(h) = -3*h. Let r(b) = 3*b**2 - 1114*b + 275. Give r(g(y)). 27*y**2 + 3342*y + 275 Let w(h) = 89 - 13*h - 89. Suppose -3*y = y - 2*k - 16, -2*k = 2*y + 4. Let c(o) = 5*o**y - o**2 - 2*o**2. What is c(w(s))? 338*s**2 Let s(l) = -120*l. Let h(t) = 74*t**2 + 56*t + 63. Let a(w) = -73*w**2 - 48*w - 54. Let x(g) = -7*a(g) - 6*h(g). What is s(x(q))? -8040*q**2 Let q(l) = 37164355*l - 37164355*l + 3391*l**2. Let n(v) = -3*v. Give n(q(h)). -10173*h**2 Let c(n) = -2720*n**2 - 3*n + 34. Let x(h) = 36*h. Give x(c(w)). -97920*w**2 - 108*w + 1224 Let x(d) = -14*d + 3*d**2 - 15*d - 8*d + 37*d. Let h(p) = -70*p + 12. Let i(w) = -910*w + 154. Let z(g) = -77*h(g) + 6*i(g). What is x(z(u))? 14700*u**2 Let q(n) = 296*n - 3619. Let t(b) = 36*b**2 - 1. Determine q(t(h)). 10656*h**2 - 3915 Let x(q) be the third derivative of -q**4/12 - q**2. Let p = -227 + 229. Let u(d) = 0 - 333*d**2 + 2 + 331*d**p. What is u(x(a))? -8*a**2 + 2 Let g(t) be the second derivative of 11*t**4/12 - t + 327. Let z(v) = -39*v + 6. Let f(p) = -2*p + 1. Let w(n) = -6*f(n) + z(n). What is w(g(b))? -297*b**2 Let i(d) = 8*d**2 + 8*d + 4. Let l(j) = -7*j**2 - 6*j - 3. Let z = -285 - -288. Let c(s) = z*i(s) + 4*l(s). Let x(m) = 29*m. Determine c(x(u)). -3364*u**2 Let p(d) be the third derivative of d**5/60 - 191*d**2 - 2. Let n(c) be the third derivative of -13/24*c**4 + 0 + 0*c**3 - c**2 + 0*c. Give p(n(j)). 169*j**2 Let v(b) = -5*b - 16. Let f(q) = 4*q**2 - 2*q - 1464. Calculate v(f(x)). -20*x**2 + 10*x + 7304 Let d(t) = -239110*t**2. Let f(l) = -1568*l**2 + 1. Calculate f(d(s)). -89648192412800*s**4 + 1 Let h be (-5)/(-10) + (-190563)/(-6). Let i(v) = -h + 4*v + 31752 + 2*v. Let k(u) = -u. Determine k(i(b)). -6*b + 9 Let k(z) = -3*z**2. Let g = 95 - 66. Suppose 31*i - g*i = 24. Let u(v) = -i*v + 19 - 19. Calculate k(u(r)). -432*r**2 Let v(o) = 48*o - 59*o + 8*o**2 - 2*o**3 - 16 - 21*o**2 - 6*o**2. Let h be v(-9). Let f(b) = -3*b**2 + b**2 + 7*b**h. Let r(i) = -i. Determine f(r(z)). 5*z**2 Let j(g) = -15*g**2 + 26*g + 35. Let r(v) = -7*v**2 + 12*v + 22. Let i(p) = -6*j(p) + 13*r(p). Let x(c) = -23*c**2. Give x(i(n)). -23*n**4 + 3496*n**2 - 132848 Let z(l) = 231615*l**2 - 50*l. Let s(p) = -p**2. What is z(s(d))? 231615*d**4 + 50*d**2 Let d(l) = 2*l. Let h(t) be the second derivative of -21451*t**3/3 - t + 2212. Give h(d(z)). -85804*z Let b(l) = -28*l. Let d(q) = -276*q**2 + 801. Give d(b(x)). -216384*x**2 + 801 Let g(b) = 2*b**2. Let k(h) = 11438175*h. Determine k(g(j)). 22876350*j**2 Let s(i) = -i. Let x(j) = -19468567*j. Give s(x(q)). 19468567*q Let s(z) = 15323229*z**2. Let x(b) = 13*b**2. What is x(s(m))? 3052417510823733*m**4 Let p(v) be the second derivative of v**4/6 + 10*v + 73. Let i(r) be the second derivative of 5*r**3/6 + r. Give i(p(s)). 10*s**2 Let m(d) = 3*d**2. Let h(s) = -372495316*s. Determine h(m(n)). -1117485948*n**2 Let o(w) = 3*w**2 - 687*w. Let j(p) = -2*p - 67. Calculate j(o(q)). -6*q**2 + 1374*q - 67 Let u(f) = f**2 - 184*f. Let x(i) = -209*i**2 + 6*i. Let d(h) = -385*h**2 + 11*h. Let l(w) = -6*d(w) + 11*x(w). Give u(l(o)). 121*o**4 - 2024*o**2 Let t(l) = 792*l - 10. Let x(f) = 79*f - 1. Let k(m) = t(m) - 10*x(m). Let b(p) = 745*p. Calculate b(k(g)). 1490*g Let w be (4/(-12))/((-3)/18). Let g(t) = w*t - 2*t - 2*t + 0*t. Let q(o) = 119*o**2. Calculate g(q(m)). -238*m**2 Let d(z) = -33*z. Let i(v) = -v. Let m(q) = -d(q) + 9*i(q). Let n be ((-2)/(-4)*-2)/((-13)/117). Let a(t) = n*t - 12*t + 5*t. Calculate m(a(s)). 48*s Let i(p) be the third derivative of 52*p**2 - 1/12*p**4 + 0 + 0*p + 3/2*p**3. Let a(t) = -t**2. Let h(f) = -f**2. Let y(v) = -3*a(v) + 2*h(v). Give i(y(w)). -2*w**2 + 9 Suppose 5*m + i - 17 = -10, -2*i - 6 = 0. Let f(p) = -1 + 4 - 456*p**m - 3 + 448*p**2. Let h(l) = 19*l**2. What is f(h(c))? -2888*c**4 Let d(i) = -463*i**2 + 29*i. Let h(q) = -4876*q. Calculate d(h(z)). -11007999088*z**2 - 141404*z Let z(s) = -5*s. Let m(u) be the second derivative of 0*u**2 - 7/6*u**3 + 40*u + 0. What is m(z(f))? 35*f Let f(k) = 2*k**2. Let s(m) = 969*m + 0 + 1209*m - 167*m + 0. Calculate s(f(h)). 4022*h**2 Let o(p) = 14*p**2. Let u(d) = -4*d**2 + 23*d + 68. Determine u(o(t)). -784*t**4 + 322*t**2 + 68 Let c(w) be the second derivative of -w**4/2 + 4*w + 19. Let o(g) = 133*g - 21. Let k(q) = -33*q + 5. Let f(v) = 21*k(v) + 5*o(v). Determine f(c(a)). 168*a**2 Let o(z) = -174*z**2. Let c(q) = -15661*q**2. Determine o(c(k)). -42676444254*k**4 Let u be 6*(-3)/(-9) - 0 - 0. Let a(z) = -35*z**u - 29*z**2 + 103*z**2 - 33*z**2 + 3*z. Let t(c) = c. Determine a(t(k)). 6*k**2 + 3*k Let x(z) = -711*z. Let o(i) = 259*i**2 - 5*i. Determine x(o(d)). -184149*d**2 + 3555*d Let w(h) be the first derivative of -1/12*h**4 - 27 + 0*h**3 + 0*h**2 - 25*h. Let y(b) be the first derivative of w(b). Let t(u) = 13*u**2. Calculate t(y(o)). 13*o**4 Let y(l) = 175*l**2. Let g be (-1)/(-2) + 204/8. Let w(d) = -d - 26 + 2*d + 0*d + g. Give w(y(t)). 175*t**2 Let y(o) = 19*o. Let x(w) = -147811 + 73901 + 3*w + 73899. What is y(x(q))? 57*q - 209 Let r(g) = -32*g**2. Let t(n) be the second derivative of 95*n**3/2 + 6420*n. What is r(t(z))? -2599200*z**2 Let m(c) = -c**2. Let f(j) = -5810*j**2 - 42*j + 21. Let k(o) = 581*o**2 + 4*o - 2. Let p(v) = 2*f(v) + 21*k(v). Give p(m(w)). 581*w**4 Let x(c) = 2*c**2 + c**2 - 2*c**2. Let m(g) be the first derivative of 25*g**2/2 + 4*g + 481. What is m(x(l))? 25*l**2 + 4 Let r(b) = b - 10. Let u(l) = -606*l - 40. Let t(d) = 4*r(d) - u(d). Let n(h) = -4*h**2. Calculate t(n(k)). -2440*k**2 Let f(v) = 148*v. Let c(a) be the first derivative of a**3 + 42. What is c(f(w))? 65712*w**2 Let a = -404 + 406. Let y(g) = -a + 2 - 11635*g + 11640*g. Let x(z) = 19*z**2. Calculate x(y(b)). 475*b**2 Let r(l) = 22*l + 81*l + 101*l - 49*l + 14*l. Let s(u) = -3*u. Determine r(s(d)). -507*d Let s(n) = -10*n. Suppose -17*w = -24*w - 147. Let m(v) = 3*v. Let l(a) = w*m(a) - 6*s(a). Let o(y) = 3*y + 17. Determine o(l(i)). -9*i + 17 Let u(t) = -67*t**2 + 33*t + 33. Let h(i) = 234*i**2 - 117*i - 117. Let m(l) = 11*h(l) + 39*u(l). Let v(k) = -262*k. What is m(v(q))? -2677116*q**2 Let h(f) = 15 + 0 - 2 - 38*f - 2. Let i(a) = -13*a + 4. Let b(x) = 4*h(x) - 11*i(x). Let m(u) = -11*u**2. Give b(m(s)). 99*s**2 Let q(d) = 2184199*d. Let y(v) = -5*v**2 - 4. Give y(q(o)). -23853626358005*o**2 - 4 Let x(u) = -315*u. Let z(o) = 5*o**2 - 9*o - 45. Let c(i) = -i**2 + 2*i + 10. Let b(r) = 18*c(r) + 4*z(r). Determine x(b(s)). -630*s**2 Let
{ "pile_set_name": "DM Mathematics" }
3. Do y and 5 have the same value? True Let q be ((-36)/(-90))/((-2)/(-13)). Let j = -3 + q. Which is greater: 1/5 or j? 1/5 Suppose 3*h - 15 = 8*h - 3*v, 0 = -4*v + 20. Suppose 2*x = -x - 3*w + 6, 5*x + 2*w - 7 = 0. Which is bigger: x or h? x Suppose 24 = -2*f + 26. Which is smaller: 2/191 or f? 2/191 Let z = -0.026 + 3.126. Let x = z + -3. Let l = -5 - -5. Is l smaller than x? True Let h be 4/(-448)*-4 + 2/(-7). Does h = -1.7? False Suppose -j = -6 + 2. Suppose 13 = x + f + f, 0 = j*x + 2*f - 22. Are 3 and x equal? True Let h be (-21)/(-6)*(-1 + 40/28). Are 2/49 and h equal? False Let d(j) be the second derivative of -j**4/12 - j**3/6 - 7*j**2 - 3*j. Let o be d(0). Which is smaller: -15 or o? -15 Let y = 0 + 4. Let r be (0 - 0)*(-1)/2. Suppose y*x - 2*x + 2 = r. Which is greater: x or 1/5? 1/5 Let g = 119 - 135. Which is smaller: g or -7? g Let h = 5.89 + 0.11. Let j be 0 + (5 + -6)/(-1). Which is bigger: h or j? h Let a be -14 + (-1 - 5)/(-3). Let z be 1/4 + 27/a. Let q = -1 - z. Is 1/13 at least as big as q? False Let i(y) = 2*y**2 - 7*y - 4. Let p be i(4). Which is greater: -0.09 or p? p Let v be 6/(-17)*(-3)/9. Let s = 16 + -15. Which is greater: v or s? s Let z be 6 + -2 - (-19)/(-6). Is z < 1? True Let h = -7 + 6. Is h equal to 10/13? False Let v = -14 + 10. Let u = v - -3. Which is smaller: u or 0? u Let o = -4 - -2. Let t = 10.1 - -2.9. Let r = 12 - t. Is r less than or equal to o? False Let x(q) = -3*q**2 + 3*q + 2. Let p be x(3). Let r(i) = -i - 3. Let o be r(12). Is o < p? False Let b = 5 - 2. Suppose -2*j + b*j + 1 = 0. Is -1 <= j? True Suppose -4*q = -3*q + 1. Which is smaller: -1/7 or q? q Let s = -4 + 4.1. Let b = s - 0. Let q = -0.2 + b. Are 0.1 and q equal? False Let r = -17 - -122/7. Let z(b) = b + 7. Let p be z(-6). Let y be (-1 - 2/(-2))*p. Is r bigger than y? True Let g be (10/7)/(4/334). Let k = -119 + g. Suppose 1 = -o - 0. Is o < k? True Let m be ((-1)/4)/((-9)/(-108)). Let z be 7 + (-1*1 - -1). Suppose 1 + z = -2*a. Is m at least a? True Let w be -1*(8 + -4)/(-4). Is -2/51 at least w? False Let y = 4.3 + -3.3. Is 2.9 < y? False Let r be 57/9 - 2/(-3). Let x = -12 - -8. Let m = r + x. Is 3 greater than m? False Suppose -3 = i - 2. Which is smaller: 0 or i? i Suppose 2*c = 3*j + 28, 3*c - 28 = 2*c + 5*j. Which is smaller: -1/2 or c? -1/2 Suppose y + 5*o - 2*o + 7 = 0, 0 = 3*y + o + 21. Is y != -6? True Let o be (-3)/(-12) + (-543)/44. Let t = 11 + o. Which is smaller: 0 or t? t Suppose -t - 4*t - 5 = 0. Let l = -72 - -71.92. Is l at most as big as t? False Let l = 107/10 - 31/5. Which is bigger: 6 or l? 6 Suppose -z + 0*z - 1 = 0. Let s be (-1295)/(-20) + (z - 0). Let h = -64 + s. Which is smaller: h or 1? h Suppose 5*t - z = 6 + 4, -z = -2*t + 7. Do -1/12 and t have different values? True Let i be (2/(-32))/(6/(-30)). Which is greater: i or 1? 1 Suppose -5*z - 4 - 25 = -y, 0 = -y - z - 1. Which is smaller: y or 5? y Let n(h) = h**2 + 10*h - 10. Let w be n(-11). Which is bigger: w or 16/11? 16/11 Let c be (-212)/(-306) - (-32)/(-144). Which is smaller: 0 or c? 0 Suppose 52 + 50 = -2*v. Let s be (-3)/4 + v/(-4). Suppose 3*f - 3 = -s. Is f smaller than -1/3? True Let s be 2/7 + (-18)/14. Which is greater: 5/72 or s? 5/72 Let m(x) = -4*x**3 + 2*x**2 + 2*x + 1. Let f = 6 - 7. Let q be m(f). Is 3 smaller than q? True Let i(v) = -v**3 + 4*v**2 - 3*v + 2. Let b be i(2). Let x = 9 - 6. Does x = b? False Let i be -8 + 0/(0 - -2). Let x be (9 + 0)/(-3 - -4). Let w = i + x. Is w at most 2/13? False Let s be 0 + -5 + 2471/497. Which is greater: s or 0? 0 Let m = 0.41 - -1.89. Let v = -0.7 - m. Let x = v + 3.1. Which is greater: -4 or x? x Let l(c) = 2*c + 10. Let q be l(-5). Which is smaller: -2/11 or q? -2/11 Let t = -137462644343473/558 + 246348521322. Let g = t - -303666. Let y = 5/62 + g. Which is greater: 0 or y? 0 Suppose 96 = -7*m - 5*m. Is m at least as big as 9? False Let k = 24 + -89. Let u be (-4)/(-26) - (-270)/k. Which is bigger: -3 or u? -3 Let p(o) = 5*o**2 - o + 1. Let m be p(-1). Do m and 9 have the same value? False Suppose 9*y + 689 = -202. Is y smaller than -99? False Let m be 8/2*(-5 + 3). Let j = 0 - -1. Which is bigger: j or m? j Let o be (-40)/24*1/(-35). Are -1 and o equal? False Let x = 0.065 - 6.265. Let v = x - -7. Is v > 1? False Suppose 2*t + 2*t = 2*k - 28, -k - 4*t = 16. Let h be k/4 - 8/9. Is -1 at most as big as h? True Let p be (-10)/10*(15 + -1). Is p less than or equal to -29/2? False Let z be 18/(-144)*(41 + 1). Which is smaller: -6 or z? -6 Let v be (-2)/6 + (-165)/(-9). Let p be (-12)/v*6/(-10). Which is greater: -1 or p? p Let w = 6.8 + -6.6. Is w not equal to -2? True Let f = 1 + 1. Let h be (-797)/(-364) - (0 + f). Let t = h + 5/52. Which is smaller: 0 or t? 0 Let z = 1491/2 + -714. Let n = z + -31. Is n >= 0? True Suppose -3*q + 5*q + 22 = 0. Let x be -8 - q - 3/1. Which is smaller: -1/6 or x? -1/6 Suppose 0 = -2*t - 2*c - 2, -2*t - 3*c = 2. Let x(s) = -3*s**2 - 3*s - 1. Let a be x(6). Let d = a - -1649/13. Which is smaller: t or d? t Let k = 45 - 67. Which is smaller: k or -23? -23 Let p = -74/3 + 24. Let k(d) = -2 - 3*d + 0*d + 2*d. Let w be k(-1). Which is bigger: w or p? p Let c = -3544/99 - -314/9. Is -1 at least c? False Suppose 0 = -3*g - 2*y + 9, -3*y + 4 = -5. Which is smaller: g or -0.25? -0.25 Let o = -3 - -3.2. Let v = 0.2 + -0.26. Which is smaller: o or v? v Let k be 4/16 + (-1)/4. Suppose 4*g - 1 = 7. Let f be (1/g)/((-10)/(-4)). Is f bigger than k? True Let p = -125 - -873/7. Is 15 < p? False Let w = 26 + -14. Let v be (-4)/w + (-7)/(-3). Suppose -10 = -2*k, -5*u - 2*k = v*k - 15. Which is smaller: 1/2 or u? u Suppose 4*c + 5 = -g, -3*g + 3*c = -0*g. Let y be 290/14 - (-14)/49. Let x be (3/4)/(y/8). Which is smaller: g or x? g Suppose 1 = -4*t - 11. Let c = 2 - t. Suppose o = -3*u - 4*o - 16, -c*u = -5*o. Which is smaller: -3 or u? -3 Let u be 2 - ((-86)/(-20) + -2). Suppose -2*c + 0*c + 4*t + 26 = 0, 0 = -5*c - t + 10. Suppose 5*j + 2 = -c*i + 10, -5*j = -3*i - 2. Is i bigger than u? True Let d(v) = -v**2 + 9*v - 15. Let p be d(6). Which is smaller: p or -0.06? -0.06 Let k = 13 - 14. Which is smaller: 1 or k? k Let n = 0 - 1. Let p be -1 + 26/(5 + -3). Let o be ((-8)/p)/(n/(-3)). Do -3/2 and o have different values? True Suppose 5 = -3*d + 4*o, d - 3*o + o = -3. Which is smaller: d or -4/49? -4/49 Let k = -7.11 + 0.11. Let q = k - -6.9. Is q at least 1? False Let n(y) = y**2 - 8*y - 8. Let x be n(9). Let o be 4 + (0 + -3)*x. Let j = 8 - 8. Which is smaller: j or o? j Let s = 43 - 77. Is -34 less than s? False Let a = -45 - -23. Let k be a/(-18) - (-8)/(-36). Which is smaller: k or -2? -2 Let b = -6.96 - -7. Let l = b + 0.06. Is 1/5 at most l? False Let m = 6 + -8. Let i be (-2)/(-5) - (-32)/20. Let s = 0 - i. Is s <= m? True Suppose 3*l + 39 = 27. Suppose 3*v - 5*v = 10. Which is bigger: v or l? l Suppose -4*c - 3*s = -2*c - 14, 0 = -4*c + 2*s - 4. Let k be 876/(-10) + 8/(-4). Let b = -90 - k. Do b and c have the same value? False Let o = 6.04 + 0.76. Is 0.1 smaller than o? True Let w = 4948369381/1557420 - 961582/303. Let h = w - -2/1285. Are 3 and h equal? False Let i = 3146/17 + -185. Which is smaller: -1 or i? -1 Let l = 1 - 8. Let p(c) = -c**2 - 8*c - 2. Let i be p(l). Let a(x) = x**3 - 4*x**2 - 5*x - 1. Let o be a(i). Is -2/15 at least as big as o? True Let g be ((-5460)/4496)/(-5) - (-3)/(-12). Which is smaller: g or 0? g Let r be (-6)/14 - 7/(-49). Let i(s) = -2*s. Let m be i(-1). Suppose -3*d = -0*d - 3, -5 = -m*x - 5*d. Is x at most as big as r? False Let d = -43 + 60. Which is smaller: d or -1? -1 Suppose 0 = 8*y - 4*y - 4. Let b = 153/188 + -3/47. Are y and b unequal? True Let m be 1/4 - 8468/272. Let k = -12196/85 - m. Let p = -113 - k. Is p not equal to 1? True Let s = -257/3220 + -1/140. Suppose 9 = 2*p + 2*v - 1, 22 = 2*p + 5*v. Which is smaller: s or p? s Suppose -3 = -k + 2*k. Suppose 0 = -0*v + v. Is v less than k? False Let v = -41 + 40.9. Let x = -0.3 + 0.6. Let h = 0.2 - x. Are h and v unequal? False Suppose -2*o = -5*d - 18, 7*d - 3*d + 4*o = -20. Is 2 not equal to d? True Let g be 13/2 - (-3 + 1). Which is smaller: g or 8? 8 Let r = 1.9 + -2. Let n be 2*(13/(-6) + -2). Let g = n - -8. Which is greater: g or r? r Let t = -0.06 + -11.94. Let z
{ "pile_set_name": "DM Mathematics" }
3 in ascending order. -26, a, 3 Let q = -5 + 8. Let c = -119 + 116. Let o = q + c. Sort o, -0.5, -1 in descending order. o, -0.5, -1 Suppose 0 = -4*b - 16, -2*b = -h - b + 8. Let y be (56/(-35))/(h/10). Put 3, 1, y in decreasing order. 3, 1, y Suppose 0 = -15*x + 75 - 30. Put 5, 44, x, 2 in ascending order. 2, x, 5, 44 Suppose -5*w + 83 = 2*i, 0*w - 53 = -3*w - 2*i. Suppose -7*z + w = -2*z. Suppose l + 1 + z = 0. Sort 2, 5, l in decreasing order. 5, 2, l Suppose -4*x - 35 = 5*k, -42 = 5*x - 17. Sort 0, -19, k. -19, k, 0 Suppose -3*x + 16 - 100 = 0. Let m be 1575/x - 1/(-4). Let l be m/(-21)*(-2)/12. Sort 0.1, l, 3 in increasing order. l, 0.1, 3 Let v = 80/9 - 275/36. Let o = v - 1. Let c = 0 - 0.2. Sort c, o, 1/2 in descending order. 1/2, o, c Let b = 225 + -229. Sort -5, -1, 3, b. -5, b, -1, 3 Suppose 2*q + 3*q - 5 = 0. Suppose 0 = g - 2*f - 3, 3*f = -g + f + 3. Let j be (g/6*-2)/1. Sort -7, j, q in ascending order. -7, j, q Let q(m) be the third derivative of m**5/30 + m**4/12 - m**3/6 - 5*m**2. Let t be q(1). Let a = 1 + -1.01. Sort t, a, 1 in descending order. t, 1, a Let y(p) = -p**3 - 2*p**2 + 4*p + 3. Let w be y(-3). Let c be (-4)/7 + (-24)/(-42). Suppose c = -x - 0*x - 2*m + 3, 5*x = -5*m + 5. Sort x, -4, w. -4, x, w Let j(i) = -i**3 + 6*i**2 + 3. Suppose 0*p + 12 = 2*p. Let b be j(p). Suppose 0 = 4*u + 4*g, -b*g = 4*u + 2*g. Put u, 5, -3 in descending order. 5, u, -3 Let y = 194/5 + -1736/45. Sort 2, -0.07, 0.4, y. -0.07, y, 0.4, 2 Suppose 0 = -45*y + 65*y - 80. Let f = -0.11 - 5.89. Put f, y, 1 in ascending order. f, 1, y Let y be (-1 - (-16)/18)*-3. Let h be (-1)/(-3) - (5 + (-920)/192). Sort h, 4, -0.2, y. -0.2, h, y, 4 Let l = 7.5 - 39.5. Let s = -27 - l. Let k be -3*(12/(-15) + 1). Put s, k, -0.1 in descending order. s, -0.1, k Let s(i) = -15*i**2 - 4*i**2 + 6*i + 1 + 18*i**2. Let p be s(6). Put -0.4, 5, p, -4 in decreasing order. 5, p, -0.4, -4 Let t be -1*7*24/84. Suppose 4*v - 2*v = -5*p - 30, -4*v - 60 = -p. Sort -4, v, t in decreasing order. t, -4, v Let v = 0.31 + 1.69. Let r = 30 + -18. Let x = 15 - r. Sort x, v, -0.4. -0.4, v, x Suppose 0 = 3*w - 0*w + 6. Let x be ((-2)/(-45))/(w/(-10)). Let p = -8 + 11. Put x, -0.3, p in decreasing order. p, x, -0.3 Suppose 0 = 41*k + 39 + 166. Let t = -0.43 - -0.4. Sort -3, t, k in descending order. t, -3, k Let b = 3.56 - 3.4. Let c = b + -0.46. Let i = c - -0.8. Sort i, -0.5, 1/7. -0.5, 1/7, i Let p = 5.14 + -0.14. Let s = -0.05 - -0.09. Let d = -0.06 + s. Put d, -3, p in decreasing order. p, d, -3 Let t = -241 + 236. Suppose -4*l + 3 = -o, 2*o = l + l + 6. Suppose -u - 4*u + o = 0. Sort t, u, 2. t, u, 2 Let u(t) = -t**2 - 10*t + 9. Let l(n) = 10*n - 1. Let w be l(-1). Let x be u(w). Let b be 11/(-6) + 24/12. Put 0.3, x, b in descending order. 0.3, b, x Let w be ((-1)/(45/(-6)))/(4/(-3)). Suppose 2*i + 2*i = 0. Suppose 4*f = 4 - i. Put f, w, 3 in increasing order. w, f, 3 Let t = 597 - 596.98. Sort -14, t, 0.4 in decreasing order. 0.4, t, -14 Let j = -0.45 + -0.05. Let d = 0.089 - -0.011. Let i = -0.03 + 0.33. Sort i, j, d in descending order. i, d, j Suppose -t - 41 = -2*q, 5*q + t = 162 - 49. Sort q, -8, -2 in increasing order. -8, -2, q Suppose 0 = v - 3*b - 18, v - 2*b = -0*v + 13. Put v, -9, 5, 1 in decreasing order. 5, v, 1, -9 Let d(c) = c**3 + 12*c**2 + 20*c + 1. Let a be d(-9). Let o = -67 + a. Put o, 0, -5, 8 in increasing order. -5, o, 0, 8 Suppose -2*a = -5*o + 99, 4*a + 28 + 75 = 5*o. Suppose -13 + o = -2*r. Sort 4, r, -6 in increasing order. -6, r, 4 Let o = 1007.5 + -830. Let x = -177 + o. Let n = -0.23 - 0.07. Put x, n, 4 in increasing order. n, x, 4 Suppose 9*v + 7 = 7*v + 3*j, -2*v + 2*j - 8 = 0. Suppose 0 = 3*a + 3 - 0. Sort a, v, -2 in decreasing order. a, -2, v Let j be (-17)/(-2) - (-4 - -11). Let q = 14 - 13. Sort 1/3, 2, j, q in decreasing order. 2, j, q, 1/3 Let j = 41 - 39. Let i = -1.13 - -0.13. Sort 16, j, i in descending order. 16, j, i Suppose 5*x = y + 20, 51 = 3*y - 4*x + 78. Let w(v) = 0*v**2 + v**2 + 8 - 6*v - 2*v**2. Let z be w(-7). Sort 3, y, z in decreasing order. 3, z, y Let y be (-11)/(-22) - (-3)/(-14). Let s = -304.97 - -305. Let a = -0.05 + -2.95. Put a, y, s in descending order. y, s, a Let k = -0.482 - 3.518. Put -1/17, k, 0.8 in increasing order. k, -1/17, 0.8 Let l = 4.2 - 0.2. Let f = 0.009 + -0.289. Let k = f - -0.08. Put -2, k, l in ascending order. -2, k, l Let h = -1.6849 + -0.0151. Sort h, 0.06, -1/7 in increasing order. h, -1/7, 0.06 Let p be (17/(-17))/((-2)/2*-1). Let w be -6 - (3 + 2 + p). Sort -2, w, -3 in descending order. -2, -3, w Let y(d) = d**2 - 14*d + 56. Let x be y(6). Sort x, 3, -4 in decreasing order. x, 3, -4 Suppose 4*b + g = 7, -2*g + 5*g - 8 = b. Put -22, b, -10 in ascending order. -22, -10, b Suppose -m = 3*m - 16. Let c = m + -1. Let w be (-5)/(-7) - (-4)/14. Put 0, w, c in decreasing order. c, w, 0 Let j = 475/6467 + -1/223. Sort 5, j, 3/4, -1. -1, j, 3/4, 5 Let s = 832 - 832. Let x = 0.4 + -1.4. Put 5, s, x, 2/17 in decreasing order. 5, 2/17, s, x Let j = 583 + -586. Sort -4, j, 109 in decreasing order. 109, j, -4 Let l = -599 + 604. Let g = 0.6 + -1.1. Put 2/15, l, g, 1/7 in decreasing order. l, 1/7, 2/15, g Suppose 0*b - 24 = -2*b. Suppose 4*p - b = 4*x, -x + 14 = -4*p + 29. Suppose -a = -x, -5*f + f + 3*a = 23. Sort -2, f, 0 in descending order. 0, -2, f Let h be 1*(1 - (-10)/(-14)). Let q = -10 - -11.1. Let o = q - 1.3. Sort -3, h, o. -3, o, h Let c = 15.29 - 72.29. Sort -1/2, 2, c, 5 in decreasing order. 5, 2, -1/2, c Let i be 2*1 + 494/(-60). Let h = 37/5 + i. Let u be -5*(62/150 + (-12)/36). Sort 0, h, u. u, 0, h Let t = 300/1001 - 2/143. Sort t, 28, -0.3 in descending order. 28, t, -0.3 Suppose 5*m - 70 + 100 = 0. Put -5, 0, 1, m in decreasing order. 1, 0, -5, m Let k(i) = -i**3 - 4*i**2 + 2*i + 4. Let a be k(-4). Suppose -3*j + u + 2 = 2*j, 4*j - 8 = 4*u. Put -11, j, a in ascending order. -11, a, j Let t = 57 + -52. Sort t, -3, -4, 3 in decreasing order. t, 3, -3, -4 Let g be 2 - (-7)/(-2) - (-75)/2. Suppose -11*z + 2*z = -g. Sort -4, 0.4, -0.2, z in ascending order. -4, -0.2, 0.4, z Let a = -212 + 133. Sort 5, 0, a in decreasing order. 5, 0, a Let s be (2 + (-2)/4)/((-4)/(-24)). Let h be 5/(-4)*(s - 13). Sort 0, 11, -2, h in descending order. 11, h, 0, -2 Let v = 39 + -8. Suppose 0 = v*k - 33*k + 8. Let s(q) = -q**2 + 3*q. Let a be s(4). Put 3, a, k in decreasing order. k, 3, a Let f = -14.69 + 14.79. Sort 1, -0.2, f in ascending order. -0.2, f, 1 Let p = 10 + -6. Suppose -20*w + 17*w = i, -2*i + 4 = 2*w. Sort p, 0, i, 2 in decreasing order. p, i, 2, 0 Let z(q) = -q**3 - 5*q**2 + 6*q + 5. Let y be z(-6). Suppose -3*t - 2 + 0 = -2*f, 3*t + 37 = -y*f. Suppose 3*i - 10 = -2*i. Sort i, t, -1 in increasing order. t, -1, i Suppose 8*s = -26 + 58. Put s, -46, -1 in increasing order. -46, -1, s Let k = -4.32 + -0.48. Let h = -2.8 - k. Let i = -19 + 19. Sort h, 4, i in descending order. 4, h, i Let u(t) = -2*t - 8. Suppose g + 4 + 1 = 0. Let y be u(g). Put -4, 4, y, -17 in decreasing order. 4, y, -4, -17 Suppose 0 = 20*k + k + 42. Sort -1, k, -13 in ascending order. -13, k, -1 Let o be (-4 - (4 - 3))/(-3 + 2). Let i(k) = k**2 - 4*k + 4. Let d be i(4). Suppose 0 = -m - d*m + 5*g + 30, 2*g + 5 = -o*m. Put 4, m, 2 in descending order. 4, 2, m Let g = -8 - -16. Let b = -5 + g. Suppose -3*v + 3*t = -6*v - 27, 4*v = 5*t. Put b, 5, v in increasing order. v, b, 5 Let k = -10/9 + 68/45. Suppose 5*u + 40 = 4*z, 0 = 4*z + 5*u - 6 - 34. Let b(r) = 4*r - 45. Let h be b(z). Sort h, 0, k in ascending order. h, 0, k Let k = -145 - -148. Suppose -5*m + 13 = -22. Suppose 2*t - k*q - 2 - 14 = 0, -q = -t + m. Sort t, -0.4, -3/7 in descending order. t, -0.4, -3/7 Let v = 27 - 1.2. Let o = v - 26. Put o, -2/7, -2, -3 in decreasing order. o, -2/7, -2, -3 Suppose 5*l = b - 6*b - 30, -26 = 3*l + 5*b. Let o be (56/20 + -2)*5/2. Suppose 4*z + o = i + 7, i + 3 = 3*z. Put 2, i, l in decreasing order. i, 2, l Let j = 63 - -24. Let o = j - 89. Sort o, 10, 5 in descending order. 10, 5, o Let h = 49 + -40. Let w = 25/3 - h. Put w, 0.5, -1, -4 in decreasing order. 0.5, w, -1, -4 Let i = -0.089 + -0.211. Let l = -185 + 1297/7. Put -1, i, l in ascending order. -1, i, l Let u = -0.767 + 0.88. Let g = u - 0.013. Sort g, -2, 2/9 in ascending o
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
u be ((-6)/8)/((-1)/4). Let p(h) = h**2 + 9*h - 313. Let k be p(-23). Suppose k*x = -269 + 287. Solve 0 = u*o - x*o + 1 for o. -1 Let d be (479/5)/(312/546 + 39/(-105)). Solve -12 = -d*y + 481*y for y. -6 Suppose -p - 1021 = -5*i + 913, -4*i + 1544 = -4*p. Suppose 10*q - 123 = i. Suppose -56*l = -q*l. Solve l = -3*v - 13 + 1 for v. -4 Suppose 2*s = -10*s - 2772. Let r = -229 - s. Solve -o + r*o = -1 for o. -1 Let n = -11454 - -11458. Solve -1368 + 1356 = n*l for l. -3 Let q(y) = -6*y**3 - 5*y**2 - 3*y - 6. Let c be q(-2). Solve 38*h + c = 31*h for h. -4 Let r(j) = 2*j**2 - 5*j - 8. Let a be r(-2). Suppose 33 = 4*d + 3*g, -9*g + a*g = -d + 7. Solve -4*b = -d*b for b. 0 Let a(h) be the third derivative of -h**5/60 - 13*h**4/24 + 53*h**3/6 - h**2. Suppose 16*q = 11*q - 80. Let o be a(q). Solve -5 = -o*t + 10 for t. 3 Let c(h) = -10*h + 306. Let o be c(30). Suppose o*r + 86 = 49*r. Solve 34*m - 36*m = -r for m. 1 Suppose -56*n + 10432 = 64*n - 4088. Solve 0 = -125*y + n*y + 12 for y. 3 Let d(j) = -3*j**3 - 33*j**2 - j - 2. Suppose 55 = 35*l - 40*l. Let y be d(l). Solve 3*x + y + 3 = 0 for x. -4 Suppose 1897 = -132*h + 12612 + 25981. Solve -9*x - h = -314 for x. 4 Let o(p) = -18*p + 3. Let n(m) = -20*m + 5. Let f(z) = 3*n(z) - 4*o(z). Let t be f(0). Solve -6 = t*j - 0*j for j. -2 Let f(o) = -o**3 + 120*o**2 - 238*o + 262. Let s be f(118). Solve s*q = 94 + 62 for q. 6 Let x(z) = z**3 + 20*z**2 + 7*z - 22. Let q be x(-19). Let n = q + -204. Solve -16 = -n*h - 2*h for h. 4 Suppose -7*p + 0*p + 1443 = -587. Solve p*w - 295*w = 0 for w. 0 Suppose 179 + 416 = 5*q. Suppose -2*i + i = -3*n + 189, 2*n = 3*i + q. Solve 12 = -13*y + n for y. 4 Let v be (-1 + (-8)/(-6))/((-15)/(-27000)*40). Solve -120 = -v*t - 45 for t. 5 Let o(k) = -8*k - 36. Let j(v) = -4*v - 19. Let r(d) = -5*j(d) + 2*o(d). Let q be r(-5). Solve -10 + 1 = -q*g for g. 3 Suppose -2*p + 5*h = 0, -4*p - 5*h + 4*h + 22 = 0. Suppose 59*i = 57*i + 4. Let v(c) = 3*c**2 + 31*c - 68. Let l be v(i). Solve l*x = 11*x - p for x. 1 Let l(j) = j**2 - 9*j + 4. Let t be l(11). Let v(r) = t - r**3 + 0*r - 10 - 2*r + 5*r**2 - 19. Let f be v(4). Solve 0 = 3*o + 2*o + f for o. -1 Let x(s) = 2*s + 112. Let v be x(-54). Suppose 5*h - 8*t = -3*t + 30, -4*h - 5*t + 6 = 0. Solve -v*q + 6*q + h = 0 for q. -2 Let g(k) = -k**3 - 9*k**2 + 21*k - 14. Let l be g(-11). Let s be -5 + -42*(l - (-40)/15). Solve -8*q = -s*q + 5 for q. 5 Let v(f) = f**3 + 30*f**2 + 209*f + 24. Let r be v(-19). Suppose 33 = 19*m - r. Let p be (1 + 1)/2 - 0. Solve 2*y - p = m for y. 2 Suppose -101*b + 2*g = -98*b - 21, -2*b + 28 = g. Solve -5*j + j = b*j for j. 0 Suppose 0 = -67*d + 74*d + 7. Let u be ((d - -2) + -1)/1 - -2. Solve -y + u = -0 for y. 2 Let z be 15/(-6)*-3*(-8)/6. Let o be (z - -14)/(2/10). Solve -o = 4*p + p for p. -4 Suppose -7*d + 3*d = 15*d. Suppose q = 20*o - 18*o - 3, 5*q - 4*o - 9 = d. Solve -9*r = 22 + q for r. -3 Suppose 8*o - 12*o + 20 = 0. Let z be o - 0/(-5 - -9). Solve z*p + 5 = -0 for p. -1 Suppose 19 = c - 5*x, 2*c + 3*x = x - 22. Let a be (-3 + 4)/((-3)/c). Suppose 17*u = a*u. Solve 2*n - 3 + 9 = u for n. -3 Suppose 6*q = 140*q - 0*q - 30954. Solve 6*m + 261 = q for m. -5 Let k(v) = -75*v + 1620. Let f be k(19). Solve 53*x - f = 17 for x. 4 Let j(q) be the first derivative of q**4/4 + 7*q**3/3 - q**2 - 2*q + 2. Let n = -773 - -766. Let i be j(n). Solve i = -4*g + g for g. -4 Let d(v) = 5*v**2 - 1. Let m be d(1). Suppose 0*f = -f + m. Solve f*x + 16 = 4 for x. -3 Let b be (-9)/4*(-800)/12. Let d = b + -150. Solve d = -5*u - u for u. 0 Suppose 5*g = h - 27 - 76, 0 = -4*h - 5*g + 462. Let a = 113 - h. Solve a = 4*l + 10 - 22 for l. 3 Let j = 1610 - 1607. Solve -j*r = -54 + 51 for r. 1 Suppose 55*c - 64*c + 45 = 0. Suppose 5*p - c*d - 45 = 0, 2*d + 2 = d. Solve 5*k + p - 27 = 0 for k. 4 Let c(a) = a**3 + 1. Let r(f) = 2*f**2 + 8*f - 11. Let b be r(-5). Let h be c(b). Solve h = -0*u - 5*u for u. 0 Let n(u) = -u**3 - 5*u**2 - 14*u - 19. Let g be n(-4). Solve -23*d + 2 = -g*d for d. 1 Let y = 21 + -3. Let l be 4/y + 420/54. Suppose -3*f - l = 4*o, 0 = -2*o + o - 5. Solve -5*x = -x + f for x. -1 Let a be (-3 - (2 - 4)) + 3. Let d = a + -23. Let p = d + 23. Solve -p*x = x for x. 0 Suppose -5*v + 9*v = 8. Suppose -16 = -v*x + 2. Let y be -3 + (26/5 - 2/10). Solve 0 = -m - y*m - x for m. -3 Suppose -26*h = 12*h. Solve h = v + 53 - 54 for v. 1 Let k(t) = -t**3 - 2*t**2 + 27*t - 31. Let w be k(-9). Solve -290 = -p - w for p. -3 Suppose -24*n + 32*n - 32 = 0. Suppose 4 = 2*r, 0 = -q + 2*r + 2*r - 5. Solve -x + n = -q*x for x. -2 Suppose 37*s = 47*s - 680. Solve s = 85*o - 68*o for o. 4 Let l be 281 - ((3 - -10) + -12). Solve 6*d - l = 46*d for d. -7 Suppose -36*q - 4*w = -31*q - 22, 2*q = -3*w - 1. Solve -q = -14*u + 12*u for u. 5 Let l = -30785 + 30815. Solve -36*y + l*y + 6 = 0 for y. 1 Let p = 15407 + -15383. Let l be (3/(-2))/1*-2. Solve -21*t + p*t = l for t. 1 Suppose -23*k + 5568 = 25*k - 16*k. Solve -2 = k*s - 172*s for s. -1 Let p = 55 - 50. Let c(r) = -4*r - 3. Let l be c(-6). Let d = -14 + l. Solve 0 = -p*b + d + 18 for b. 5 Let y(t) = t**3 - 13*t**2 + 12*t - 17. Let q be y(12). Let l(u) = -u**3 - 12*u**2 + 14*u - 4. Let s be l(-13). Let z = s - q. Solve d + 3 = -z*d for d. -3 Let j = 1377 + -1369. Solve -j*w + 5*w = 6 for w. -2 Suppose 26*l - 207 + 103 = 0. Solve 8*b = -l - 4 for b. -1 Let q = 3061 + -2865. Solve -199 + q = 3*g for g. -1 Let p be 42/16 + 27/72. Suppose 3*y + 2*y + 2*l - 46 = 0, -y - p*l + 17 = 0. Solve -18 = 2*t - y*t for t. 3 Let b be 18 + (-3)/18*-2*9. Suppose -b = -3*m + 3. Solve -7*f + 3*f - m = 0 for f. -2 Let b = 9838 + -9824. Solve -10*z + b = -56 for z. 7 Suppose 45*b + 49*b = 12*b. Solve b = -225*h + 219*h - 42 for h. -7 Let i be (-3)/(4 - (-57)/(-12)). Let s(j) = j + 1. Let a be s(i). Solve y = a*y + 12 for y. -3 Let r = 34 - 24. Let f = 15 - r. Suppose 2*l - f + 9 = 5*q, -3*l + 1 = -4*q. Solve -11 - 1 = -l*c for c. 4 Let c(j) = -j**2 + 39*j + 85. Suppose 3*k + 127 = 121. Let w be c(k). Solve 0 = w*m + 15 for m. -5 Let q be (1410/75)/((-36)/20 - -2). Solve -46*x = x + q for x. -2 Suppose -12924 + 13428 = 8*t. Solve 0 = -3*d - t*d - 264 for d. -4 Let g be (-6335)/(-140) + ((-14)/24 - (-3)/9). Solve -g = 15*s - 6*s for s. -5 Let g(z) = 3*z**2 - 4*z - 3. Let m(h) = -16*h**2 + 19*h + 15. Let l(y) = -11*g(y) - 2*m(y). Let v = 80 - 74. Let w be l(v). Solve -w*f + 5 = 2*f for f. 1 Suppose -6*t = -4*t + 5*o + 9, 0 = 4*t + 5*o + 3. Let s be (7 - (-4)/(-1))*t. Solve 4*z + 11 = -s for z. -5 Suppose 4*g - 176 = -2*b, -g + 242 = 4*g - 3*b. Let m = g - 43. Suppose -d = -2*i + m, d + d + 1 = 3*i. Solve d*p - 5*p = 10 for p. 5 Let z = 7219 - 7201. Solve -19*x - 20 = z for x. -2 Let x(n) = 15*n - 33. Let r(t) = 16 - 26*t - 23*t + 42*t. Let b(c) = 13*r(c) + 6*x(c). Let g be b(6). Solve 4 = -g*w - 0 for w. -1 Let l be 81/(-27) + 30 + -25. Let k(w) = -w + 2. Let u be k(2). Solve -l = 2*c - u for c. -1 Let u be -1 + (-46446)/(-135) - (-688)/(-15480). Solve -346*s - 3 = -u*s for s. -1 Let j be 8/(-8)*-10 + -1. Suppose 0 = -10*p + j + 11. Solve p*l = -2*l - 20 for l. -5 Let a be 10/(-15) + (-350)/(-30). Suppose 21*o = a*o. Solve o = -y - 3 for y. -3 Let b = -1209 + 1216. Let h be -2 - (-14 + -2)/(-2). Let j = -6 - h. Solve -b - 1 = -j*k for k. 2 Let k = 9 - 7. Let y(s) = -s**3 + 61*s**2 + 57*s + 315. Let g be y(62). Suppose k*c - g*c = 0. Solve 2*j - j = c for j. 0 Let b be -52*((-5)/10 + (-1 - -2)). Let h be (-91)/b - (-9)/6. Solve -h*l - 8 = 12 for l. -4 Let t be (-141)/9 + 2/3. Let p be 12/(-10)*t/6. Suppose -p*a = -2*c - 2 - 7, 5*a - 15 = 3*c. Solve 6*g - 3*g = c for g. 0 Let z = 661 - 659. Let j(m) = 2*m - 8. Let p be j(5). Solve -z*s = p*s - 2*s for s. 0 Let s be (-6776)/2420*(-4315)/7. Solve -48 = 1732*z - s*z for z. -8 Suppose 40*z - 25 = 45*z. Let q = z - -37. Suppose -4*a = h, q = h + 2*a - 6*a. Solve 0 = 5*i - i - h for i. 4 Let a(k) = 0*k - 17 + 2*k + 4. Let f(n) = -n**2 + 15*n + 24. Let b be f(16). Let x be a(b). Solve -x*l + l = -8 for l. 4 Let l(g) = 3*g**2 - 8*g + 7. Let w be l(-5). Suppose 0 = -3*f - a + 71, -18*a = -5*f - 16*a + w. Solve -f*x - 8 = -26*x for x. 4 Let q(m) = m**3 + 14*m**2 - 52*m - 10. Suppose 20*s - 17 = 21*s. Let c be q(s). Suppose 3*v + c = -3*x - 2, -2*v = 4*x + 16. Solve
{ "pile_set_name": "DM Mathematics" }
Rearrange (-h**3 - h**3 + 4*h**3)*(-4 - 6 - 7 + 27) to k*h**2 + o*h**3 + y + s*h and give k. 0 Express -3*l + 4*l**4 + l**3 - 2 - 2*l + 3*l + 1 as y*l**4 + m + t*l**3 + p*l + r*l**2 and give y. 4 Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m. -1 Rearrange 0*d**2 + 1 - 22*d**2 - 9*d**2 to the form c + n*d + y*d**2 and give y. -31 Rearrange 11 - 4*y**2 + 11*y**2 - 5*y**2 to b*y + k + v*y**2 and give k. 11 Rearrange -k - 3*k + 2*k + (-2 + 3 + 2)*(-k - 2*k + 6*k) - 7*k - 2*k + k to t*k + q and give t. -1 Rearrange (4 - 6 + 4)*(3*r**4 - 7*r**4 - 7*r**4) to v*r**3 + o + z*r**2 + l*r**4 + j*r and give l. -22 Express 16*x - 68*x - 26*x + 3*x as q + y*x and give y. -75 Rearrange -10 + 2 + 8 - 28*d**2 to the form j*d + x*d**2 + l and give x. -28 Express ((-5*j + 5*j - 3*j)*(-4 + 2 + 0) - 1 + j + 1)*(3 + 0 - 2)*(-33*j - 29*j + 58*j) as h*j**2 + c*j + d and give h. -28 Rearrange -x**4 - 4*x**4 + 2*x**3 - 3*x + 2 + 0*x**3 + x to r + a*x + k*x**2 + n*x**4 + j*x**3 and give j. 2 Rearrange 0 - i**3 + 2 + 3*i - 2*i - 3*i to the form l*i + b + f*i**3 + h*i**2 and give l. -2 Rearrange 7 - 10*k - 6 - 1 to the form s + z*k and give z. -10 Rearrange (-5*a**2 + a**2 + 2*a**2)*(-1 + 0 - 1)*(-2 + 0 + 3)*(-13*a**2 + 67*a - 67*a) to the form m*a**2 + p*a**4 + b*a**3 + q + i*a and give q. 0 Express (0 - 2 + 10)*(3*y + 6*y - 2*y - 1) in the form q*y + o and give o. -8 Express 2*k**3 + 0*k**2 - k**4 + 791*k + 2 - 807*k - k**2 in the form n + r*k**4 + w*k + u*k**2 + f*k**3 and give f. 2 Express (2 - 4 + 3)*(-2*s**4 - 2*s**4 + 19*s**4 + 3*s) in the form d*s + c*s**3 + r*s**2 + w*s**4 + u and give d. 3 Express 4 + 24*m - 13*m + 5*m**4 - 10*m + m**3 - 2*m**2 in the form u*m**2 + v*m**3 + h*m + f*m**4 + n and give f. 5 Rearrange -2*a**4 + 2*a**3 + 4*a**4 - 6*a**4 + 2*a**2 + 1 to the form b*a + z*a**4 + s + x*a**2 + o*a**3 and give z. -4 Express d**2 + 2 + 21*d**2 + 4*d**2 - 3 in the form s + l*d**2 + t*d and give t. 0 Express (m - 14*m**3 + m**2 + 1 + 11*m**3 + 3*m)*(3*m - 2*m + 0*m) in the form f*m**3 + q*m**4 + g*m + a + z*m**2 and give g. 1 Express -17*r + 63*r + 3*r in the form n*r + g and give n. 49 Express 6*a - 37*a - 4*a as r + y*a and give y. -35 Express (4*p**2 + p**2 + p**2)*(4*p + p + p) in the form g*p**2 + z*p + n*p**3 + o and give g. 0 Rearrange -2 + 2 + 52*c - 22*c to the form j + x*c and give x. 30 Express (-9 + 9 - 3*c)*(-c + 5*c - 2*c) + c**2 - 2*c + 2*c + (-4 + 4 + 1)*(13*c**2 + 12*c - 12*c) in the form l + q*c + p*c**2 and give p. 8 Rearrange -7 + 6 - 15*x + 1 to the form s*x + d and give s. -15 Express (-4 + 0 + 5)*(-2 - 5 - 2)*(2*n**3 - 2*n**3 + 2*n**4) in the form o*n + y*n**2 + c + m*n**4 + v*n**3 and give m. -18 Express -2576 + 3*s**3 - 2*s**3 + 2617 in the form o + n*s + b*s**2 + h*s**3 and give h. 1 Rearrange 27*f**2 - 16*f**2 + 27*f**2 to v*f + s + r*f**2 and give r. 38 Rearrange -2*j + 3 + j**2 + 2 + 3*j**2 - j**2 to the form u + x*j + t*j**2 and give x. -2 Express 30*a**3 - 4*a**2 + 36*a**3 + 2 - 65*a**3 as g + j*a + w*a**3 + f*a**2 and give g. 2 Rearrange (12*h**2 - 7*h**2 - 9*h**2)*(-2 + 1 + 2) to the form z*h**2 + r + s*h and give z. -4 Express -17 + 3 + 4*m**2 - 3*m**2 + 0 in the form x + r*m + l*m**2 and give x. -14 Express -9*i**4 + 4*i + 4*i**4 - i**3 + 1 - 3*i**4 in the form j*i**3 + k*i**4 + a + o*i**2 + s*i and give a. 1 Rearrange -8*d + 0*d**3 + 0*d**3 - 14*d + 2*d**3 to the form t*d**3 + i*d**2 + a + q*d and give q. -22 Express 6*d**3 + 2*d**3 + 4 - 5*d**3 + 3*d**3 in the form i*d**2 + s*d + n*d**3 + b and give i. 0 Rearrange (3*w**3 + 3*w**3 - 4*w**3)*(w + 0*w - 2*w) + 35*w**4 + 7 + 2*w**2 + 84*w - 86*w - 5 to m*w**4 + n + h*w**2 + u*w**3 + d*w and give d. -2 Express (2 + 4 - 4)*(-1 + 1 + 2*o) + 2*o - 4*o + 0*o - 357*o - 31*o + 26*o in the form s + w*o and give s. 0 Express 6*w**3 + 0*w**3 + 23*w - 21*w as r + u*w + m*w**2 + l*w**3 and give l. 6 Express 85*m - 85*m + 38*m**2 in the form q + z*m + v*m**2 and give v. 38 Rearrange 1208 + 6*g - 1208 - 3*g**2 to the form j*g**2 + r + i*g and give i. 6 Express 9*n**2 + 6 + 2 - 3*n + 8 - 15 as s*n + u*n**2 + x and give s. -3 Express -2*d**2 - 3*d**2 + 9*d**2 - 4*d + 4*d - d**2 + d**2 - 1 + 1 + (3*d**2 - 4*d**2 + 2*d**2)*(2 - 3 + 2) in the form l + k*d**2 + c*d and give k. 5 Express 35*j**4 + 2*j**2 - j**3 + 35*j**4 - 79*j**4 + 1 as x*j**2 + f*j**3 + y*j + w*j**4 + z and give x. 2 Rearrange 2*a**2 + a**4 - 20*a**3 - 2*a + 11*a**3 + 10*a**3 to the form t*a + o*a**2 + n*a**3 + v*a**4 + u and give o. 2 Express -1 - b + 1 + (-4 + 3 - 1)*(-b + 0*b + 2*b) + b + 2*b - b - 2 + 7*b - 3*b - 14*b in the form a + f*b and give f. -11 Rearrange -6*o + 2*o - 6*o - 3*o to the form j*o + s and give j. -13 Rearrange -2*m**3 + 2*m**3 - 3*m**3 + (-5*m**2 + 3*m**2 + 5*m**2)*(-2*m + 0*m + 0*m) to the form z + o*m**3 + i*m + d*m**2 and give o. -9 Rearrange 66*u**4 - u**4 - 7*u**4 + (-1 + u + 1)*(u - u**3 - u) to m*u**4 + b*u**3 + n + y*u**2 + f*u and give m. 57 Express -9*z + 6*z + z + 13*z**2 as q*z**2 + g + h*z and give q. 13 Rearrange (-2 + 0 + 0)*(3*k**2 - 3*k**2 + k**2) + 0*k**2 + 2*k**2 - k**2 + (3 - 3 + 2*k)*(10*k - 19*k + 26*k) to the form m*k + w + f*k**2 and give f. 33 Express 10*r - 6*r + 7*r in the form s + w*r and give w. 11 Express 11*n - 45 + 45 in the form r*n + o and give o. 0 Rearrange -18*p + 3 - 1 - 12*p + 9*p to s*p + r and give s. -21 Rearrange ((-4 + 0 + 2)*(-3*h - h + 7*h) + 2 - 4*h + 2*h + h)*(-2 - h**2 + 2) to d*h**3 + t + p*h**2 + o*h and give d. 7 Express 4*t - 5*t + 2*t - 3*t in the form r + p*t and give p. -2 Express 269 - 269 - 30*a**2 as x*a + n*a**2 + g and give g. 0 Express -6*q**2 - 36*q**3 + q - 4*q**2 + 9*q**2 in the form d*q**3 + m*q + p*q**2 + c and give d. -36 Rearrange (3*v - 3*v - v)*(0*v - 3*v + 5*v) + v**2 + 2*v**2 - 4*v**2 + (4*v + 3 - 3)*(-3*v + v - 3*v) to the form l*v**2 + n*v + r and give l. -23 Rearrange -k**4 - k**4 + 2*k**2 - 21*k + 9*k - 3 + 13*k to the form x + v*k + u*k**3 + a*k**4 + g*k**2 and give v. 1 Rearrange -6*x**3 - 3*x**4 + x**4 - 2*x**2 + 5*x**3 - 5*x**3 to t + m*x + k*x**3 + a*x**2 + z*x**4 and give z. -2 Rearrange -177*p**3 - 1 + 1 - 7*p + p**2 + 175*p**3 to w*p**3 + f*p**2 + s + j*p and give w. -2 Express (1 - 2 + 2)*(-m**2 + 4*m**2 - m**2) + 2*m**2 + m - m - 13 + 13 + 10*m**2 in the form w*m**2 + p*m + n and give w. 14 Rearrange (30*c - 9*c + 5*c)*(-3 + 3 + c) to h + u*c + f*c**2 and give h. 0 Rearrange (0*k - 2*k + 3*k + 5)*(-k + 0*k + 14*k) to the form p*k + v*k**2 + a and give v. 13 Rearrange -t**2 + 3*t**2 + 0*t**2 + (0*t + 0*t + t**2)*(-8 + 8 + 7) to u*t**2 + m + f*t and give f. 0 Rearrange -23 - 2*t**4 - 4*t**2 - t**4 - 2*t**3 + 22 - t**3 to d*t**2 + o*t + h*t**4 + l*t**3 + y and give l. -3 Rearrange (0 + 2 + 1)*(-2*d**2 - 13*d**2 + d**2)*(-4*d**2 - 2*d**2 + 7*d**2) to the form i*d**2 + l*d + a*d**4 + v + b*d**3 and give a. -42 Express (954*j + 13*j**2 - 1 + j**3 - 954*j)*(1 - 4 - 1) in the form d*j**3 + g + m*j + p*j**2 and give g. 4 Rearrange 34*h + 277 - 277 to the form w + g*h and give g. 34 Express (4 - 3 - 5)*(0*y**2 + y**2 - 2*y**2)*(3 - 1 - 4) as h*y + t + c*y**2 and give c. -8 Express -3 - s - 13*s + 3 as m + t*s and give t. -14 Express 2*p**3 + p - 3*p**2 + p**2 - p - 3*p + p**4 as x + q*p**2 + t*p**4 + l*p**3 + s*p and give q. -2 Express 7 + 5*w - 7 - 2*w + 1 - 1 + (1 - 1 + w)*(-3 - 1 + 5) + 4*w - 4*w - 2*w in the form k + j*w and give j. 2 Express (3*n - 2 + 2)*(153 - 42 - 52) as d*n + f and give d. 177 Rearrange (3*i**2 - 2*i**3 - 3*i**2)*(-1 + 2 + 6) to the form r*i**2 + k + v*i + g*i**3 and give g. -14 Rearrange l - 3*l + 73*l**4 - 65*l**4 + (-2*l**3 + l**3 - l**3)*(l + 2*l - 5*l) to the form n*l + d + m*l**3 + f*l**2 + j*l**4 and give j. 12 Rearrange 8*q - 9*q + 9*q - 1 + 24*q to the form d*q + r and give r. -1 Express 31*t**4 + 3*t**4 + t + 32 - 30 in the form l + v*t**4 + x*t**3 + y*t**2 + c*t and give l. 2 Express (-5*t**2 + 5*t**2 - 4*t**2 + (t - 3*t + t)*(2*t - t + 0*t))*(4*t - 8*t + 3*t + 5*t**2) in the form c*t + m*t**2 + d*t**4 + o*t**3 + w and give d. -25 Express -2 + 34*t + 8*t + 2 in the form m + q*t and give q. 42 Rearrange 2*r**4 + 2*r**2 - 2 - 5*r**3 + 2 + 12*r**3 to g*r**2 + n*r + o*r**4 + l + q*r**3 and give g. 2 Express j**4 + 5 + 2*j**2 + 14 + 2*j**4 - 2*j**4 as f + k*
{ "pile_set_name": "DM Mathematics" }
ng order. 356, 4, 2, 1, -8 Put 0.3, -5/6, 3.826 in descending order. 3.826, 0.3, -5/6 Sort 5, 43, 254 in ascending order. 5, 43, 254 Sort 47, 2, 38, -4. -4, 2, 38, 47 Sort 2, -1, -4, 4, -122, -1426. -1426, -122, -4, -1, 2, 4 Put 0, -1565, 15, 5, -5 in decreasing order. 15, 5, 0, -5, -1565 Sort -109, 0, -20, 4, 2, 5 in ascending order. -109, -20, 0, 2, 4, 5 Put 12, -3, 3, -54, 0, -6 in increasing order. -54, -6, -3, 0, 3, 12 Sort -16, -1, 22, -7, 1 in increasing order. -16, -7, -1, 1, 22 Put 6, 1, 351, 4, 2, -4 in descending order. 351, 6, 4, 2, 1, -4 Sort 5, -83, 19, -0.5. -83, -0.5, 5, 19 Put -0.5, 8.6, 5, -0.2, 2/15, -4/5 in descending order. 8.6, 5, 2/15, -0.2, -0.5, -4/5 Sort 1/2, -8/13, 21 in increasing order. -8/13, 1/2, 21 Sort 0.3, 1/2, 521/6, -2/9 in decreasing order. 521/6, 1/2, 0.3, -2/9 Put 2/7, 1/3293, -0.3, -1 in descending order. 2/7, 1/3293, -0.3, -1 Put 20, -1, 90, 3, 138 in decreasing order. 138, 90, 20, 3, -1 Put 2230, -5, 15, -6 in decreasing order. 2230, 15, -5, -6 Sort -1408, -5, 4, 20 in descending order. 20, 4, -5, -1408 Sort -1, 54, 170, 1, -2, 4 in decreasing order. 170, 54, 4, 1, -1, -2 Sort 3/7, 472.546, -2, -0.4, 1/2 in increasing order. -2, -0.4, 3/7, 1/2, 472.546 Put 4, 375, 7, 8 in ascending order. 4, 7, 8, 375 Put 5, -46, -5, 2, 80 in increasing order. -46, -5, 2, 5, 80 Put -0.09, -5, -27/5, -6 in increasing order. -6, -27/5, -5, -0.09 Put 6, -4617, 0 in descending order. 6, 0, -4617 Put -122, 6, 132, 3 in descending order. 132, 6, 3, -122 Put -3, -4, -0.03, 0.0702, 4 in increasing order. -4, -3, -0.03, 0.0702, 4 Put 4, -6/5, -40/21, -2/5, -5, -2 in decreasing order. 4, -2/5, -6/5, -40/21, -2, -5 Put 1, -3, -4, -126, 35 in decreasing order. 35, 1, -3, -4, -126 Sort 0, 45, 4, 27, -3, 5 in descending order. 45, 27, 5, 4, 0, -3 Put 5, -95, 0, -45, 1 in decreasing order. 5, 1, 0, -45, -95 Sort 2/227, 17/144, -1. -1, 2/227, 17/144 Sort 0.4, 2, -0.3, -3/7, -496 in decreasing order. 2, 0.4, -0.3, -3/7, -496 Put -0.4, 0.24, 6/17, 1, -2/3, -1 in ascending order. -1, -2/3, -0.4, 0.24, 6/17, 1 Put -5, 11, 1193 in decreasing order. 1193, 11, -5 Put -55, 122, 0.2, 2/17 in ascending order. -55, 2/17, 0.2, 122 Put 1, -4/379, -6 in decreasing order. 1, -4/379, -6 Sort -2/7, 82, 36 in descending order. 82, 36, -2/7 Sort 5, -563, -0.03, -4, 25 in ascending order. -563, -4, -0.03, 5, 25 Put -15, 9, -3, 2 in descending order. 9, 2, -3, -15 Sort -5, 0, 146, 16, 6 in descending order. 146, 16, 6, 0, -5 Put -4, -6, 0, -1, -417 in increasing order. -417, -6, -4, -1, 0 Put 0.4, -35, 403 in descending order. 403, 0.4, -35 Put 0, 8/407, -259 in ascending order. -259, 0, 8/407 Put 0, -0.4, 372 in descending order. 372, 0, -0.4 Put -15113, -4, 2 in decreasing order. 2, -4, -15113 Sort 49, -28, 5, -2 in ascending order. -28, -2, 5, 49 Put 2, -67, 45, -5 in ascending order. -67, -5, 2, 45 Sort 7054, -2, 16 in increasing order. -2, 16, 7054 Put -3, 5, 267 in descending order. 267, 5, -3 Sort 1, -5, -4, 20 in increasing order. -5, -4, 1, 20 Put 1, -66, 5, -4, 4, 24 in increasing order. -66, -4, 1, 4, 5, 24 Sort -1/4, 0.6, 12/5, 14 in decreasing order. 14, 12/5, 0.6, -1/4 Put 4, 1, -3, -2352 in decreasing order. 4, 1, -3, -2352 Sort 0, -4, -5, -12355. -12355, -5, -4, 0 Sort -2, -0.3, -0.2, -3, -3.7, 3 in ascending order. -3.7, -3, -2, -0.3, -0.2, 3 Sort 5, 2, -2, -237 in increasing order. -237, -2, 2, 5 Sort -62, 2, -25/72 in descending order. 2, -25/72, -62 Sort 0, 10, 12, 2. 0, 2, 10, 12 Sort -2, -8, 2, -80, 0 in descending order. 2, 0, -2, -8, -80 Sort 43716, 2, 31 in ascending order. 2, 31, 43716 Sort -14746, -5, 3 in descending order. 3, -5, -14746 Put 1, -3, 24, 0, -11, -1 in ascending order. -11, -3, -1, 0, 1, 24 Sort 4, 1, -31, -5, 0, 319 in descending order. 319, 4, 1, 0, -5, -31 Put -3, 1/5, -4905 in ascending order. -4905, -3, 1/5 Sort -4, 4, 0, -1, -430. -430, -4, -1, 0, 4 Put 3/4, -1340, -2 in decreasing order. 3/4, -2, -1340 Sort -5437, 2, 5, -5 in decreasing order. 5, 2, -5, -5437 Sort 4, -3, 1, 2385 in decreasing order. 2385, 4, 1, -3 Sort -2/3, -8/9, 1/12, -9 in increasing order. -9, -8/9, -2/3, 1/12 Sort -395, -0.2, 11/5, -4. -395, -4, -0.2, 11/5 Sort 0.2, 164, 12/7, 0.4 in decreasing order. 164, 12/7, 0.4, 0.2 Sort -668, -2, -164 in ascending order. -668, -164, -2 Sort -978, 19, 1, -3, -4 in ascending order. -978, -4, -3, 1, 19 Sort 3, 5, 47, 40. 3, 5, 40, 47 Put 6, -4, -1 in decreasing order. 6, -1, -4 Sort 128, 3, 540, -5 in descending order. 540, 128, 3, -5 Put 77610, 2, 0, -5 in descending order. 77610, 2, 0, -5 Sort 7, 6, 5, -7, -4 in decreasing order. 7, 6, 5, -4, -7 Sort -27, 4, -260. -260, -27, 4 Put 0.2, -12, 4, -4/215 in increasing order. -12, -4/215, 0.2, 4 Sort -4, 500, -3 in descending order. 500, -3, -4 Sort -2/9, 2, -59, 83, 0.05. -59, -2/9, 0.05, 2, 83 Put 22, 0.14, -2/7, 3/4, -19/5 in descending order. 22, 3/4, 0.14, -2/7, -19/5 Put -5, -6/5, -9, 894 in ascending order. -9, -5, -6/5, 894 Sort -3, -6, -14.11, 4. -14.11, -6, -3, 4 Put -0.07, 2/3, -1/95, 0.2 in decreasing order. 2/3, 0.2, -1/95, -0.07 Sort 3, -3, 148, 1.2 in increasing order. -3, 1.2, 3, 148 Put 4, 441, 2, -44 in ascending order. -44, 2, 4, 441 Sort -63, -40, -28 in ascending order. -63, -40, -28 Sort -1/11, -5/4, 5, -436, 3/5. -436, -5/4, -1/11, 3/5, 5 Sort 2, -3, 311, 5 in descending order. 311, 5, 2, -3 Sort 112, -3, -2396. -2396, -3, 112 Put -0.4, -0.943, -0.1, 1/3, -1 in descending order. 1/3, -0.1, -0.4, -0.943, -1 Sort 243, -4/3, -0.1, 5, -1 in increasing order. -4/3, -1, -0.1, 5, 243 Sort -630/61, -2, -1/4, 0.03, 0.5 in ascending order. -630/61, -2, -1/4, 0.03, 0.5 Put -49, -8007, 3 in increasing order. -8007, -49, 3 Sort 0, 2/9, 18, 2/7, -3, 9. -3, 0, 2/9, 2/7, 9, 18 Sort 15, -5, -2/5, -261/20 in ascending order. -261/20, -5, -2/5, 15 Put 0, -4, 14, -856, -2, 3 in ascending order. -856, -4, -2, 0, 3, 14 Put 4, 1, -3/5, -628, 0.1 in descending order. 4, 1, 0.1, -3/5, -628 Put 3, -7, -0.1, 1/5, 79 in increasing order. -7, -0.1, 1/5, 3, 79 Put -1, 37, 27, -2, -12, 2 in decreasing order. 37, 27, 2, -1, -2, -12 Sort 18673, 7, 0, -1 in descending order. 18673, 7, 0, -1 Put -3, 0, -2, 2394, 4, 3 in descending order. 2394, 4, 3, 0, -2, -3 Put 161, 5, -5, -4, 8 in ascending order. -5, -4, 5, 8, 161 Sort 3, 317, 9 in descending order. 317, 9, 3 Put -4/3, 0.4, 27/4, 0.2 in decreasing order. 27/4, 0.4, 0.2, -4/3 Put -15, 2, -1, -2, -7 in decreasing order. 2, -1, -2, -7, -15 Sort 16, 10, -2, -310. -310, -2, 10, 16 Sort 13367, 0.1, 7, -2. -2, 0.1, 7, 13367 Sort -1, 21, -194, 0. -194, -1, 0, 21 Sort -4, 2, 0, -1, -198. -198, -4, -1, 0, 2 Put -3, 0.33, 0.02, 817 in decreasing order. 817, 0.33, 0.02, -3 Sort 12, 0.22, -2/5, 3, 1 in ascending order. -2/5, 0.22, 1, 3, 12 Sort 5, 0.2, -1, 0.0056, 14. -1, 0.0056, 0.2, 5, 14 Sort 0, -21/17, 9. -21/17, 0, 9 Sort 0.87, -0.12, 0.05, -1 in descending order. 0.87, 0.05, -0.12, -1 Sort -1, -5, 42/11, 3/37, 3/2 in increasing order. -5, -1, 3/37, 3/2, 42/11 Put -3, -22785, -4 in ascending order. -22785, -4, -3 Put 11, 45, -4, -29, 1, 2 in decreasing order. 45, 11, 2, 1, -4, -29 Sort 70, 4, 0, -15, 2 in descending order. 70, 4, 2, 0, -15 Sort 0.0428, -26, 1/14 in increasing order. -26, 0.0428, 1/14 Put -1/8, -0.5, 1/3, -8, -655 in descending order. 1/3, -1/8, -0.5, -8, -655 Put -1, 0, 0.6, 0.9, 2 in decreasing order. 2, 0.9, 0.6, 0, -1 Sort 4, 0, -32, -22, -3. -32, -22, -3, 0, 4 Sort 5, 0.2, 4, -6, 2.507 in decreasing order. 5, 4, 2.507, 0.2, -6 Sort 7, 2, -323. -323, 2, 7 Put 0.04, -1337, -20, -1/10, 0.3 in ascending order. -1337, -20, -1/10, 0.04, 0.3 Put -2, -2/7, -1, -9, -1/11, -0.2 in increasing order. -9, -2, -1, -2/7, -0.2, -1/11 Sort 4, 2/253, -0.2, -10 in ascending order. -10, -0.2, 2/253, 4 Sort -7, -1/8, -1.5, -10 in ascending order. -10, -7, -1.5, -1/8 Put -3/2, 1/4, 0.1, -122, 7 in increasing order. -122, -3/2, 0.1, 1/4, 7 Put -2164, -2, 0, 3, 5 in ascending order. -2164, -2, 0, 3, 5 Sort -0.07, -32/7, 0.03, 0.5, -3/10 in descending order. 0.5, 0.03, -0.07, -3/10, -32/7 Sort 0, 728, -3, 19 in descending order. 728, 19, 0, -3 Sort -2/5, 3, 3/64, 1, -0.93. -0.93, -2/5, 3/64, 1, 3 Sort 9038, 5, -3 in descending order. 9038, 5, -3 Sort -1357, -0.4, -4, -2/7 in increasing order. -1357, -4, -0.4, -2/7 Sor
{ "pile_set_name": "DM Mathematics" }
s the square root of 13958694 to the nearest integer? 3736 What is 154821823 to the power of 1/2, to the nearest integer? 12443 What is the cube root of 346428647 to the nearest integer? 702 What is the square root of 904739042 to the nearest integer? 30079 What is the sixth root of 2817554178 to the nearest integer? 38 What is 225777913 to the power of 1/8, to the nearest integer? 11 What is the square root of 63251407 to the nearest integer? 7953 What is 997742121 to the power of 1/3, to the nearest integer? 999 What is the square root of 40451541 to the nearest integer? 6360 What is 700960374 to the power of 1/2, to the nearest integer? 26476 What is the cube root of 21349076 to the nearest integer? 277 What is the square root of 145036872 to the nearest integer? 12043 What is 4106491427 to the power of 1/2, to the nearest integer? 64082 What is the sixth root of 8457091011 to the nearest integer? 45 What is 31001463 to the power of 1/10, to the nearest integer? 6 What is the square root of 149183587 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
m. Is m a prime number? False Let o be (-36)/(-30)*(1 - -5034). Suppose 5*i = 2*s + i - o, 4*s - 2*i = 12078. Is s composite? False Let s = -22 + 47. Suppose s = 5*h - 5. Suppose -h*o = -4*o - 4*d - 338, 803 = 5*o + 4*d. Is o composite? False Let d = -7499 + 21340. Is d a composite number? False Let j = 33150 + -17591. Is j a composite number? False Suppose -2*t - 1249 = 185. Let f = 1130 + t. Is f a composite number? True Let u(b) = -10*b**2 + 34 + 46 - 60 + b**3 - 4*b. Let z be u(10). Let w = 411 - z. Is w prime? True Suppose 3*h = -2*d + 281, 4*h + 4*d - 263 = 109. Is h a prime number? False Suppose q = 13 - 8. Suppose 1450 = 3*t - 3*m - 794, q*t - 3737 = 4*m. Is t prime? False Suppose -b = 5*v + 40, 2*b = 2*v + 3*b + 13. Let w be (7 + v)*59/(-2). Suppose -5*r + w = -176. Is r a composite number? False Let x(i) = 674*i**2 - 2*i + 1. Suppose 5*t - 3 = 2*t. Is x(t) a composite number? False Let j(d) = -d**3 - 9*d**2 + 32*d + 219. Is j(-12) prime? False Suppose -35 = 7*f - 2*f + 2*u, 3*f = -5*u - 21. Let p(s) = s**3 + 6*s**2 - 2*s + 2. Let c be p(f). Let m = 38 - c. Is m a composite number? False Suppose -4423 = -17*r + 3210. Is r a prime number? True Let y(u) = 111*u**2 - 6*u - 82. Is y(13) a composite number? True Suppose 114*k = 115*k + 6674. Is (-24)/60 + k/(-10) a composite number? True Suppose 3*m = 0, 12 = 3*q + 3*m - 2*m. Suppose -3*u = 0, -2*u + 796 = q*i - 0*u. Is i a prime number? True Let t = 35727 + -17210. Is t a prime number? True Let d(h) = -15477*h**3 + 2*h**2 + 3*h + 3. Is d(-1) prime? False Suppose 9*l + 14893 = 10*l. Is l a composite number? True Is 47/((-2)/(-6) - (-170)/(-555)) a composite number? True Suppose 4 - 8 = -4*v, 5*v = l + 10. Let s(u) = u + 1. Let t(w) = -18*w**2 - 7*w - 4. Let m(d) = -6*s(d) - t(d). Is m(l) composite? False Let j = -3307 - -13608. Is j a composite number? False Let q(n) = -n**3 - 4*n**2 - 3*n. Let j be q(-3). Suppose b = -j*b. Suppose b = y + 3*f - 132, 8 - 2 = -2*f. Is y prime? False Let i = -1162 + 2580. Is i prime? False Let d(g) = 8*g + 2*g**2 + 5 - 3 + 1. Let h(i) = i + 7. Let w be h(-12). Is d(w) a prime number? True Is (933 - 1)*(0 + 1835/20) composite? True Let a(b) = b**3 - 5*b**2 - 5*b - 3. Let h be a(6). Suppose 3 = 6*f - h. Is (f - 1) + (-2891)/(-7) a composite number? True Suppose -5*k = -h - 28, 0*k - 4*k = 2*h - 14. Suppose 839 = 3*l - 0*o + 4*o, -5 = k*o. Suppose -3*a + 634 = -l. Is a a prime number? False Let d = 564 - 65. Is d composite? False Suppose -95 - 67 = -6*u. Suppose -21*y - 19230 = -u*y. Is y a prime number? False Suppose 0 = -45*v + 48*v - 15. Let d(f) = 234*f - 19. Is d(v) composite? False Suppose g + 8847 = t, -2*t + 3*g = -17552 - 138. Is t a composite number? True Let h be 1/2*-1*-6. Suppose -h*o - 22 = -4*o. Is o a prime number? False Suppose 0 = 2*q + 5*f - 36190, -12010 - 6059 = -q + 4*f. Is q a prime number? False Let w be 2 - (-18 - 3)/3. Let v be 6/(-4)*(-30)/w. Suppose z - 65 = -3*u + v*z, 2*u - 35 = z. Is u composite? True Let a be (7/14)/((-4)/(-16)). Is (1 + -2 + a)/((-3)/(-11829)) a composite number? False Let q(h) = 216*h**2 + 5*h + 6. Let x be q(-9). Suppose -4*k + x = k + t, 4*k + 3*t = 13970. Is k a prime number? True Suppose 3*k - 2170 = -2*k. Suppose 4*j = 5*h + 621, 4*j - 3*h = 6*j - 283. Let r = k + j. Is r composite? True Suppose 4*j - 20757 + 2977 = 0. Suppose -7*v = -12*v + j. Is v a prime number? False Suppose -4*o - m = 471, 3*o + m - 4*m = -357. Let j = o + 641. Is j composite? False Let z(h) = -11*h. Let s(l) = 43*l + 1. Let j(w) = 2*s(w) + 9*z(w). Let f(i) = -i**2 + 2*i - 4. Let m be f(3). Is j(m) a prime number? False Suppose -32370 = -2*m + 58992. Is m composite? True Let a = -50 - -52. Suppose -4*f + 4299 = -0*n + 5*n, a*f = 3*n - 2597. Is n a composite number? False Let u(o) = -3*o**3 - 2*o**2 + 2*o + 4. Let x be u(-3). Suppose -x = 3*f + 77. Is (0 - f)*(-1)/(-2) a prime number? True Is -13798*(-10)/((-240)/(-12)) prime? True Let z be ((-12)/30)/(2/(-10)). Suppose 4*l - 4*o = 8120, 3*l - z*o - 6093 = -0*l. Is l prime? False Suppose -5*n + 878 + 2637 = 0. Let x = -165 + n. Is x a prime number? False Suppose 0*i - 5*i + 20 = 0. Let v be 54/63*14/i. Suppose -428 = -4*a + 4*d, -a + d + v*d = -110. Is a a composite number? True Suppose 5*m = -4*s + 16007, -m + 0*s + 3202 = s. Is m prime? False Is ((-40)/(-25))/(-4)*417505/(-22) composite? False Let n = 24 + -22. Is (-9 - -6)*n/3 + 2571 a prime number? False Suppose -x + 3*j = -2386, -2*j - 3 = j. Is x prime? True Suppose -2*z = -2*y + 254, -3*z - 511 = -4*y - 2*z. Suppose -u - 5*g = -g + 15, -12 = 2*u + 2*g. Is y - (16/4 + u) composite? False Let i(j) = -23030*j - 353. Is i(-5) composite? False Suppose -3*m - 3445 = -16*m. Is m prime? False Suppose n - 310 = 97. Suppose -n = 5*x - 2087. Suppose -2*s + x + 326 = 0. Is s a prime number? True Suppose -s - 6 = -25. Let f = s + -17. Is f a composite number? False Suppose 5*v - 17 = 3. Suppose -1 = v*n - 4*d + d, -4*d - 36 = 4*n. Is n/(-14) + 865/35 a prime number? False Let u be (-65)/13 - (-9 - -1). Is 1*(4 + u + -4) - -2030 composite? True Let r = -33 + 36. Is (178/4)/(r/6) composite? False Let d = -16 - -24. Suppose 2238 = -2*g + d*g. Is g composite? False Let p(b) = 2*b**3 + 4*b**2 - 3*b + 10. Let f be p(8). Suppose i = 7*i - f. Is i a prime number? True Is -12 - -2 - (-18043 - 44) composite? False Suppose 5*i - 14 = -5*j + 3*i, -4*i + 2 = -3*j. Suppose -3*f + b = -j*f - 1070, -3*f = 4*b - 3189. Is f a composite number? True Let p = 27966 - -1191. Is p composite? True Suppose 3*i = -0*l + 4*l - 27, 4*i = -5*l + 26. Let u be 10186/6 - l/9. Suppose 3*c - u = 466. Is c composite? True Suppose d - 10732 = -2*g, -2*d = g - 4*g - 21485. Let t = -7301 + d. Is t prime? False Suppose 0*t = -3*t - 3*z + 1137, 4*t - 3*z = 1516. Is t a composite number? False Let x(v) be the third derivative of -1/8*v**4 - 1/6*v**3 + 0 + 7/60*v**5 - 3*v**2 + 0*v. Is x(-2) composite? True Suppose -3 = -3*w + 4*v + 29, 4*w + v = 30. Suppose 2*f = -2*f + w, 3*i - 5*f - 2651 = 0. Is i a prime number? True Is -348073*4/(-40) + (-18)/60 composite? False Let q = 105 - -404. Is q a prime number? True Suppose -19*j = -15*j + 652. Let w = 232 - j. Is w prime? False Let n be ((-2 - -3)*1 - -2)*-631. Is ((-70)/15 + 5)/((-1)/n) a composite number? False Let f = 8952 - -19057. Is f a prime number? False Let a = 8267 + -5810. Let i = -1526 + a. Suppose 4*u + z - 937 = 0, 2*u - 3*z = 6*u - i. Is u prime? False Suppose 5*n + 16102 = a, 4*a - 5*n = -0*a + 64483. Is a a composite number? False Suppose 3*c + 1 = -l - 0, 5*c = -2*l - 1. Let f = l + 23. Is f composite? True Let j(i) = -i**3 + i**2 + i. Let b be j(2). Is b/(-6) + (704/6)/2 a composite number? False Let c(b) = -4*b. Let z be c(-2). Is (-4)/16 - (-2010)/z a prime number? True Let z = 84512 + -55101. Is z a composite number? False Let m = -892 + 3699. Is m a prime number? False Let t(s) = -2265*s**3 + 7*s**2 + 5*s. Is t(-1) a composite number? False Let m be -71 + 0/(4 + -1). Let i = m - -51. Let t = -5 - i. Is t a prime number? False Suppose 7*w = -0*w + 21. Suppose -2*c = -4*m - 7*c + 45, 0 = -m + w*c + 7. Is m a prime number? False Let p be 2/(3 - 1) - -55. Suppose 2*m - p = 64. Is 36/m - (-6684)/10 composite? True Is 254287/44 + 6/(-24) a prime number? True Let k = 6 + 9. Is 7056/k - (-3)/5 composite? True Let i be 66042/72 - (-2)/(-8). Suppose -28 + i = 7*q. Is q a prime number? True Let u be (-3109)/(-5) + 2/10. Suppose -5*c - p = -3*p + u, p = -4*c - 508. Is c/6*(-1)/3 a composite number? False Is 5607 + 10*(-12)/30 composite? True Suppose -3*c + 42228 = 3*d, 16*d = -5*c + 15*d + 70400. Is c a composite number? False Let b(a) be the third derivative of 71*a**6/40 + a**5/60 - a**4/12 + a**3/3 - 21*a**2. Is b(1) prime? False Let p(o) = -80*o**3 - 11*o - 1. Is p(-4) a prime number? False Let f = -2396 + 5595. Is f a prime number? False Let w(h) = -24*h**2 - 4*h - 11. Let f be w(-5). Let c = -397 - f. Is c a composite number? True Suppose 1098 - 7098 = -3*o. Let w = o - 993. Is w prime? False Let x = 45 + -41. Suppose 5*q - w = 6983, -x*q + q - 3*w + 4197 = 0. Is q a composite number? True Let q(a) = -1294*a - 15. Is q(-28) a prime number? True Let x(t) be the third derivative of t**6/120 + 2*t**5/5 - 19*t**4/24 -
{ "pile_set_name": "DM Mathematics" }
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))? -108*m**2 Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)). -110*c Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)). 6*s**2 + 4*s + 1 Let k be 2*(-11)/((-154)/63). Let l(w) = -k*w**2 + 12*w**2 - 7*w**2. Let c(n) = -n**2 - n**2 - 2*n**2. Determine c(l(j)). -64*j**4 Let j = -176 - -178. Let c(v) = -2*v**j + 102 - 102. Let f(t) = 17*t. What is f(c(y))? -34*y**2 Let f(o) be the first derivative of 1/3*o**3 + 0*o - 119 + 0*o**2. Let t(d) = 3*d**2. Determine f(t(q)). 9*q**4 Let j(o) = 11*o**2 + 34. Let b(q) = 2*q + 1815 - 1815. Determine j(b(i)). 44*i**2 + 34 Let p(x) = 12*x**2. Let w(q) be the third derivative of q**5/60 - 6*q**3 - 1089*q**2. Give p(w(y)). 12*y**4 - 864*y**2 + 15552 Let w(z) = 11*z**2 + 40. Let r(c) = 2*c**2 + 7. Let f(a) = 6*r(a) - w(a). Let k(q) = -5*q**2 - 9. Give k(f(j)). -5*j**4 - 20*j**2 - 29 Let l(h) = 46991269*h. Let k(u) = 2*u. What is l(k(y))? 93982538*y Let q(y) = -2*y. Let w(h) = 83*h + 2206. Let b(p) = 139*p + 4412. Let n(o) = 3*b(o) - 5*w(o). Determine n(q(k)). -4*k + 2206 Let t(k) be the third derivative of -k**4/12 - k**2. Let v(j) be the second derivative of j**3/3 + 1788*j. Determine t(v(n)). -4*n Let n(u) = -35*u**2. Let v(y) = 7*y - 3. Let w(k) = 12*k - 5. Suppose -46 = 5*r + 5*j - 11, -1 = -5*r + 4*j. Let c(h) = r*w(h) + 5*v(h). What is n(c(m))? -35*m**2 Let x(p) = -p**2 + 263*p + 75. Let v(n) = -126*n. Give x(v(f)). -15876*f**2 - 33138*f + 75 Let a(g) = 12*g. Let t(u) = 2094399*u**2. Calculate t(a(y)). 301593456*y**2 Let i(t) = 3*t**2. Let m(o) be the third derivative of -o**8/720 - o**5/30 - 29*o**3/6 - 3*o**2 + 6*o. Let r(u) be the third derivative of m(u). Give i(r(w)). 2352*w**4 Suppose -10*w + 4*w = -132. Let u(k) = -23 + 65 - k - 20 - w. Let q(j) = -121*j + 2. What is q(u(g))? 121*g + 2 Let g(k) = -9*k. Let i(y) be the third derivative of y**8/2240 - 11*y**5/12 - 2*y**2 + 8. Let j(u) be the third derivative of i(u). Give g(j(w)). -81*w**2 Let m(z) = -40*z - 33. Let k(d) = 124*d + 102. Let s(v) = 12*k(v) + 37*m(v). Let c(n) = -13*n. What is c(s(i))? -104*i - 39 Let k(n) be the third derivative of -17*n**4/6 - 4730*n**2 - n + 2. Let z(l) = -4*l. Let o(f) = f**2 - 9*f. Let w(m) = 4*o(m) - 9*z(m). Calculate k(w(t)). -272*t**2 Let i(a) = -a. Let g(l) = -7*l**2 + 2. Let w(d) = 5*d - 38. Let r be w(7). Let z(c) = -c**2 + 1. Let x(f) = r*g(f) + 6*z(f). What is x(i(u))? 15*u**2 Let o(h) = 815940*h. Let y(p) = -7*p**2. Determine o(y(s)). -5711580*s**2 Let z(j) = 2*j + 10. Suppose -20 = -7*k + 12*k. Let v(m) = -2*m - 8. Let y(g) = k*z(g) - 5*v(g). Let p(o) = -55*o**2. What is p(y(r))? -220*r**2 Let u(h) = -2*h**2 + 10. Let q(m) = -57*m**2 + 304. Let s(w) = 5*q(w) - 152*u(w). Let g(p) = -2*p. Determine s(g(c)). 76*c**2 Let o(j) be the first derivative of -16*j**3/3 - 1123. Let d(g) be the second derivative of 2*g**3/3 - g. What is d(o(u))? -64*u**2 Let f be 27/(-54)*(1 - 29). Let x(u) = -9*u - 13*u + 35*u - f*u. Let m(d) = -9*d**2. What is m(x(l))? -9*l**2 Let x(d) be the second derivative of d**4/6 + 19*d. Let j(v) = -2*v**2 - 3*v + 239. Let n(o) = o**2 + 2*o - 234. Let a(k) = -2*j(k) - 3*n(k). What is a(x(p))? 4*p**4 + 224 Let r(b) = -309*b**2 - 39*b - 13. Let o(m) = 49*m**2 + 6*m + 2. Let a(w) = -39*o(w) - 6*r(w). Let k(u) = 4*u**2 + 8. Give k(a(q)). 12996*q**4 + 8 Let i(a) = -2*a + 36. Let r(t) = -53624*t. Calculate i(r(y)). 107248*y + 36 Let m(w) be the first derivative of -9*w**2 + 5*w + 9049. Let f(n) = 5*n**2. Calculate m(f(d)). -90*d**2 + 5 Let f(b) = -4*b**2 + 379. Let d(u) = 335*u - 5. Determine d(f(r)). -1340*r**2 + 126960 Let u(i) = 25 - 25 + i. Let n(t) = 16*t**2 - 4*t + 4. Let c(j) = 16*j**2 - 5*j + 5. Let p be 3/6*-4*(0 + 2). Let x(y) = p*c(y) + 5*n(y). Determine x(u(s)). 16*s**2 Let g(k) be the second derivative of 25*k**3/3 + 128*k + 37. Let b(z) be the third derivative of z**5/20 - 4*z**2. What is g(b(l))? 150*l**2 Let g(a) = 10174*a**2. Let j(m) = 38*m. Give j(g(t)). 386612*t**2 Let j(h) = -3*h**2. Let v(w) be the first derivative of 9*w**5/20 - 26*w**3 - 58. Let i(r) be the third derivative of v(r). Determine i(j(q)). -162*q**2 Let i(x) = -36775*x + 94. Let h(d) = 4*d. What is i(h(z))? -147100*z + 94 Let p(o) = 13*o**2. Suppose -30*i - 870 = -990. Let d(u) be the second derivative of 11*u + 1/6*u**i + 0 + 0*u**3 + 0*u**2. Calculate p(d(q)). 52*q**4 Suppose 6*w = 3*f + 4*w - 22, -f - 3*w = 11. Let u(g) = 7 + 8 - 32 + g + 12 + f. Let o(a) = a. Give o(u(n)). n - 1 Let g(f) = -3*f + 5. Let q be -2 - -5 - (-4 + 3). Let w(k) = -10 + 7*k - q*k + 2*k + 2. Let b(x) = 8*g(x) + 5*w(x). Let l(h) = 6*h. Give l(b(r)). 6*r Let m(w) be the third derivative of -3/20*w**5 + 2 + 0*w**3 + 26*w**2 - 1/24*w**4 + 0*w. Let x(f) = -f. Calculate m(x(r)). -9*r**2 + r Let j(i) = -3*i. Let m(f) = -290*f**2 - 71*f + 293*f**2 - 52*f. Calculate j(m(p)). -9*p**2 + 369*p Let j(v) = 2*v. Suppose -46 = -5*z - 1. Let n(t) = -9 + 1 + z. Let m(k) = -4*k**2 - 2. Let a(p) = -3*m(p) - 6*n(p). What is a(j(g))? 48*g**2 Let m(p) = -p. Let s(o) = -45144361*o. Calculate s(m(q)). 45144361*q Let g(d) = -5*d. Let s(t) = t. Let r(w) = -2*g(w) - 9*s(w). Let j(x) be the first derivative of 2 + 109/3*x**3 + 0*x**2 + 0*x. What is r(j(l))? 109*l**2 Let v(x) = -52308*x + 1 - 6 + 1 + 52297*x. Let m(o) be the first derivative of -o**2/2 - 1. Give m(v(s)). 11*s + 4 Let h(f) = -32*f**2 + 2*f. Let v(s) = -482*s - 188. Let t be v(-9). Let z(w) = -t*w + 3*w**2 + 4150*w. Give h(z(b)). -288*b**4 + 6*b**2 Let l(v) = 7*v**2 + 10. Let a(y) = 141*y**2 - 2*y - 5. Give a(l(w)). 6909*w**4 + 19726*w**2 + 14075 Let r(d) = 2*d**2. Let v(z) = -2*z**2 + 9*z - 27. Let u be v(7). Let s = 63 + u. Let t(l) = -s - 4 - 3*l + 4 + 4. Determine t(r(c)). -6*c**2 + 3 Let s(f) be the third derivative of 51*f + 0*f**3 + 0 + 1/20*f**5 + 1/24*f**4 + 2*f**2. Let o(h) = -h. Calculate s(o(t)). 3*t**2 - t Let c(i) = 6*i**2. Let z = -808 + 818. Let h(k) = -11*k - 3 + 3 - z*k + 13*k. What is c(h(m))? 384*m**2 Let q(p) = 1457955*p. Let n(l) = -5*l. Determine n(q(c)). -7289775*c Suppose 0 = 101*c + 31*c - 396. Let z(f) be the first derivative of 0*f**2 + 0*f - 2/3*f**c - 13. Let x(s) = 32*s. Determine z(x(u)). -2048*u**2 Let g(p) = -p. Let j(z) = 2614*z**2 - 752*z**2 - 1313*z**2 - 1223*z**2. Give j(g(x)). -674*x**2 Let d(z) = 0*z**2 + 0*z**2 + 1239 + 2*z**2 - 1239. Let k(s) = -1248*s**2. Determine k(d(a)). -4992*a**4 Let d(v) = 54*v. Let t(w) = 11*w. Let g(n) = -d(n) + 6*t(n). Let h(p) = 205*p. What is g(h(k))? 2460*k Let f(i) = 4995080*i. Let j(n) = -3*n**2. Calculate j(f(o)). -74852472619200*o**2 Let k(w) = -w. Let i(b) = -4324484*b**2. Give k(i(x)). 4324484*x**2 Let z(d) = 2*d**2. Let j(t) = 29*t + 2. Let g be j(-2). Let f = g - -64. Let p(o) = -9*o - 17*o + f*o. Determine p(z(b)). -36*b**2 Let i(q) = -19*q**2. Let h(y) = 17*y + 72. Let t(g) = -594*g - 2508. Let w(c) = -209*h(c) - 6*t(c). What is i(w(n))? -2299*n**2 Let a(s) = 33207*s. Let u(r) = 2684*r**2. Give u(a(i)). 2959659814716*i**2 Let s(p) = 7 + 7*p - 21 - 10 - 2*p. Let j be s(6). Let k(t) = -t + 3. Let w(x) = -6*x + 17. Let q(o) = j*w(o) - 34*k(o). Let u(g) = -31*g. Determine q(u(y)). 62*y Let t(f) = 1383*f. Let u(d) be the second derivative of d**4/6 + 1160*d. What is u(t(l))? 3825378*l**2 Let i(s) = -26*s**2 + 16150*s + 2. Let a(o) = -4*o**2. What is i(a(q))? -416*q**4 - 64600*q**2 + 2 Let o(k) = -k**2. Suppose -c - 15 = -5. Let q(j) = -j**2 - 15*j - 23. Let r be q(c). Let y(g) = r*g**2 - 15*g**2 + 11*g**2. What is y(o(x))? 23*x**4 Let t(r) = 635*r + 8. Let h(f) = -770*f. Determine t(h(n)). -488950*n + 8 Let w(r) = -2*r**2 + 390*r + 3. Let a(j) be the second derivative of -j**3/3 + 10145*j. What is w(a(h))? -8*h**2 - 780*h + 3 Let k(h) = 8401*h - 4206*h - 4192*h. Let c(j) = 13*j**2 - 2*j. Let p(m) = -1260*m**2 + 195*m. Let f(i) = 585*c(i) + 6*p(i). Give k(f(w)). 135*w**2 Let g(a) = 158*a - 156*a - 40 - 1 - 6 - 7. Let l(w) = 77*w**2. What is l(g(u))? 308*u**2 - 16632*u + 224532 Let t(c) = -4*c**2 + 68*c. Let d(l) = -52938*l. Give d(t(g)). 211752*g**2 - 3599784*g Let f(x) = -166*x. Let o(l) = -29*l + 29*l + 2*l + 22*l. Calculate f(o(h)). -3984*h Let h(p) = 5*p**2. Let
{ "pile_set_name": "DM Mathematics" }
divide 18325? True Is 146116 a multiple of 2? True Does 237 divide 273498? True Is 136 a factor of 164968? True Is 8 a factor of 812363? False Is 13 a factor of 75303? False Does 583 divide 3354582? True Does 48 divide 187393? False Does 14 divide 107895? False Is 3 a factor of 1279731? True Is 118 a factor of 408988? True Is 31662 a multiple of 14? False Is 47 a factor of 87420? True Is 4855509 a multiple of 20? False Does 6 divide 107094? True Is 8424525 a multiple of 25? True Is 315763 a multiple of 319? False Is 3245994 a multiple of 27? True Is 383248 a multiple of 8? True Is 79640 a multiple of 44? True Is 1000 a factor of 3791893? False Does 69 divide 354177? True Is 9106097 a multiple of 847? True Does 23 divide 19968? False Does 7 divide 4214? True Does 10 divide 20030? True Is 70 a factor of 13641546? False Is 351374 a multiple of 5? False Does 63 divide 73251? False Is 2390263 a multiple of 1268? False Does 24 divide 135888? True Does 315 divide 23926? False Is 136192 a multiple of 133? True Is 838050 a multiple of 191? False Is 344160 a multiple of 96? True Is 20180752 a multiple of 976? True Is 3774095 a multiple of 13? True Is 433835 a multiple of 312? False Is 6196831 a multiple of 577? False Is 1340 a factor of 1268850? False Is 4452348 a multiple of 1535? False Does 50 divide 36854? False Is 132597 a multiple of 109? False Does 2 divide 841884? True Is 81 a factor of 261630? True Is 324 a factor of 153635? False Is 5 a factor of 5865? True Is 36 a factor of 348876? True Is 389 a factor of 199182? False Is 1984280 a multiple of 205? False Is 2261644 a multiple of 308? True Does 160 divide 10772960? True Does 35 divide 7659295? True Is 5173253 a multiple of 47? False Is 224450 a multiple of 8? False Is 48 a factor of 5322000? True Is 134 a factor of 6492983? False Is 100128 a multiple of 96? True Does 7 divide 39432? False Does 3 divide 144676? False Is 19 a factor of 93233? True Is 32 a factor of 77705? False Is 6022577 a multiple of 11? True Is 6 a factor of 1251594? True Is 1224 a factor of 5746680? True Is 20 a factor of 772464? False Does 562 divide 700814? True Is 36850 a multiple of 50? True Is 11376349 a multiple of 508? False Is 565722 a multiple of 22? False Does 104 divide 268973? False Is 20 a factor of 11901460? True Is 159 a factor of 767212? False Is 1692110 a multiple of 2102? True Does 19 divide 1163712? True Is 33 a factor of 783981? True Is 5031143 a multiple of 47? False Does 41 divide 53751? True Does 22 divide 207708? False Is 446015 a multiple of 278? False Is 1498 a factor of 27586496? False Is 70 a factor of 14350? True Does 76 divide 3330472? True Is 102 a factor of 24487? False Is 474772 a multiple of 478? False Is 9 a factor of 3439813? False Is 279 a factor of 954180? True Does 208 divide 2771830? False Is 206 a factor of 52720? False Is 502233 a multiple of 18? False Is 12250635 a multiple of 77? False Is 5784044 a multiple of 502? True Is 21925104 a multiple of 272? True Is 1363626 a multiple of 11? True Is 391 a factor of 19995? False Is 1647505 a multiple of 623? False Is 2088314 a multiple of 22? False Does 39 divide 1918178? False Is 11192146 a multiple of 73? False Is 9 a factor of 18618? False Is 19 a factor of 3464783? True Is 57 a factor of 12726504? True Is 1057 a factor of 121555? True Is 316 a factor of 279344? True Is 4 a factor of 743608? True Is 546967 a multiple of 10? False Is 211803 a multiple of 367? False Is 42 a factor of 1344? True Does 20 divide 944764? False Is 162829 even? False Does 57 divide 212724? True Does 171 divide 1310544? True Is 16980 a multiple of 6? True Is 483780 a multiple of 20? True Is 486503 a multiple of 2? False Is 7080024 a multiple of 518? True Is 420 a factor of 461160? True Is 1460 a factor of 12814240? False Is 12702162 a multiple of 22? True Is 11 a factor of 107272? True Is 36 a factor of 253745? False Is 3912381 a multiple of 782? False Is 39 a factor of 26979? False Does 242 divide 17632604? True Is 138 a factor of 3398422? False Does 9 divide 91448? False Is 25 a factor of 44077? False Does 239 divide 136708? True Does 314 divide 2337709? False Is 25 a factor of 2263025? True Is 46 a factor of 249366? True Is 242496 a multiple of 64? True Is 846872 a multiple of 136? True Does 176 divide 946176? True Does 5 divide 3370? True Is 53577 a multiple of 3? True Does 110 divide 62381? False Is 214424 a multiple of 28? True Is 399588 a multiple of 10? False Is 3234784 a multiple of 14? True Is 43 a factor of 324779? True Does 5 divide 110680? True Is 10777740 a multiple of 1578? True Does 177 divide 1597765? False Is 21 a factor of 970368? True Does 312 divide 58554? False Is 2 a factor of 25932? True Is 171627 a multiple of 17? False Is 44 a factor of 158979? False Is 630271 a multiple of 1108? False Is 4033998 a multiple of 18? True Is 365 a factor of 1147325? False Is 66672 a multiple of 8? True Is 39 a factor of 109638? False Is 41664 a multiple of 62? True Does 2 divide 63907? False Does 278 divide 1212814? False Is 4 a factor of 1509605? False Does 5 divide 214480? True Is 336024 a multiple of 52? True Is 429956 a multiple of 40? False Is 14247669 a multiple of 63? False Does 251 divide 14563020? True Is 37 a factor of 2107705? True Is 52846 a multiple of 3? False Does 13 divide 676481? True Is 46 a factor of 85019? False Is 3299950 a multiple of 15? False Is 323 a factor of 254447? False Does 7 divide 4472? False Is 21 a factor of 5061? True Is 2459574 a multiple of 914? True Does 8 divide 343573? False Does 342 divide 235638? True Is 28 a factor of 59472? True Does 12 divide 15660? True Does 41 divide 3987578? True Is 9 a factor of 765141? False Does 139 divide 132334? False Does 43 divide 1445187? True Is 274065 a multiple of 33? True Is 5 a factor of 129646? False Does 14 divide 67690? True Does 5 divide 13649? False Does 13 divide 701978? False Does 282 divide 1073813? False Does 97 divide 5532783? True Does 9 divide 759627? True Is 86431 a multiple of 35? False Does 492 divide 6659712? True Is 414 a factor of 2699280? True Is 16215663 a multiple of 462? False Does 11 divide 29621868? False Is 2292760 a multiple of 620? True Is 3829759 a multiple of 1007? False Is 4872 a multiple of 50? False Is 14462924 a multiple of 56? False Is 69 a factor of 513498? True Does 3 divide 195877? False Does 1420 divide 7836980? True Is 354140 a multiple of 20? True Is 191269 a multiple of 57? False Is 3881344 a multiple of 12? False Is 141325 a multiple of 4? False Is 366618 a multiple of 86? True Does 177 divide 11306406? True Is 7457 a multiple of 10? False Is 6 a factor of 3622224? True Is 214 a factor of 122531? False Is 4 a factor of 31775? False Is 266478 a multiple of 14? False Does 172 divide 4095434? False Is 17 a factor of 180473? False Is 30 a factor of 21144357? False Does 486 divide 20447478? True Does 70 divide 1146600? True Does 94 divide 229266? True Is 8249 a multiple of 113? True Is 30 a factor of 3868357? False Is 332 a factor of 8622397? False Is 874448 a multiple of 248? True Does 8 divide 6064? True Is 14 a factor of 734135? False Is 12 a factor of 2395865? False Is 73504 a multiple of 42? False Does 812 divide 1563912? True Is 20475 a multiple of 3? True Is 17 a factor of 1035351? True Is 9878 a multiple of 13? False Does 17 divide 9084273? True Is 121176 a multiple of 68? True Does 118 divide 433717? False Does 4 divide 101421? False Is 63 a factor of 125779? False Is 31 a factor of 432846? False Is 5637402 a multiple of 189? False Does 36 divide 2843768? False Is 533 a factor of 4159861? False Does 60 divide 12840? True Is 1339160 a multiple of 10? True Is 27088 even? True Does 361 divide 590596? True Is 10 a factor of 256488? False Is 200 a factor of 3076000? True Is 31464 a multiple of 46? True Is 3145071 a multiple of 20? False Is 386 a factor of 14455700? True Is 48357 a multiple of 30? False Is 148 a factor of 2889700? True Does 21 divide 10997238? True Is 847859 a multiple of 87? False Does 241 divide 79367? False Is 57 a factor of 8479715? False Does 185 divide 1294544? False Is 73 a factor of 47596? True Does 761 divide 12484205? True Is 295596 a multiple of 36? True Is 939 a factor of 899562? True Does 18 divide 372420?
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when b is divided by z. 21 Suppose 0 = -3*d + 4*p + 1936, 0*d + 2*p - 1930 = -3*d. Suppose -3*s - 11*s = -d. Calculate the remainder when s is divided by 24. 22 Calculate the remainder when 35 is divided by (1 - 1272/(-108)) + 2/9. 9 Suppose 0 = -2*j + 4*j - 52. Let o = 221 + -119. Calculate the remainder when o is divided by j. 24 Suppose -116 = 3*w + 73. Calculate the remainder when 251 is divided by ((-1)/(15/w))/((-1)/(-10)). 41 Let x = 330 - 226. Suppose -5*h = 4*a - 102, -6*a + 3*a = 5*h - x. Suppose 4*w = -2*y, 2*w + 4 = -2. What is the remainder when h is divided by y? 4 Suppose 3*r = 5*r - 18. Suppose -w + r + 5 = 0. Calculate the remainder when ((-715)/(-13))/(-1 + 2) is divided by w. 13 Suppose 3*n = -0*u - 4*u + 673, u - 173 = 4*n. Let y be u + (-2)/((-8)/12). What is the remainder when -4 + y/(1 + 3) is divided by 21? 18 Let f(j) = -7*j - 135. Calculate the remainder when f(-20) is divided by 1. 0 Let j = -100 + 135. Calculate the remainder when 173 is divided by j. 33 Let z be -2 - 1*-7*1. Suppose 0 = 3*l - i - 158, 0 = 4*l + z*i - 68 - 111. Calculate the remainder when l is divided by (5 - (-3 + 47))*7/(-21). 12 Calculate the remainder when 29 is divided by -19 + 22 + 5*1. 5 Let z(p) be the first derivative of p**4/4 - 8*p**3/3 - 5*p**2 + 11*p - 3. What is the remainder when z(9) is divided by 2? 0 Let p(g) = g + 6. Let d be p(-2). Suppose -3*n - d*n = -210. Calculate the remainder when n is divided by 8. 6 Let r = 285 - 143. Let d = r - 26. What is the remainder when d is divided by 30? 26 Let r = -2041 - -2123. Calculate the remainder when r is divided by 49. 33 Suppose 33 = -2*i + 2*a + 1, 2*a + 94 = -4*i. Let v = -7 - i. What is the remainder when 83 is divided by v? 13 Let m = -20 - -29. Let o(n) = n**2 + 5*n - 5. Let c(g) = g - 1. Let l(a) = -5*c(a) + o(a). What is the remainder when l(-5) is divided by m? 7 Let a(j) = -j**3 + 9*j**2 + 10*j + 12. Suppose -2*l = -0*l - 20. Suppose 18*t = -60 + 690. What is the remainder when t is divided by a(l)? 11 Suppose 2*v = m - 41, -5*m = -2*m - 2*v - 107. Calculate the remainder when 109 is divided by m. 10 Suppose -5*i - k = 4*k - 635, -5*i = -k - 665. Calculate the remainder when i is divided by 59. 14 Suppose 408 = -5*r - 2*o, -2*r + o - 80 = 85. Calculate the remainder when -4*3/12*r is divided by 17. 14 Let q(h) = 2*h**2 - 28*h - 78. Calculate the remainder when 53 is divided by q(-3). 5 Suppose 0 = 4*s - s - 6. Suppose 0 = s*z + 2*z - 20. Suppose 3*h + z*p = 66, h + 2*p - p = 20. Calculate the remainder when h is divided by 5. 2 Let s(h) be the first derivative of -h**4/4 + 3*h**3 + 3*h**2 - h - 15. Calculate the remainder when s(9) is divided by 18. 17 Suppose 4*r + r - 4*b = 30, 0 = -5*r - 5*b + 30. Suppose 0*u = r*u - 126. What is the remainder when 61 is divided by u? 19 Let k = 691 - 583. Calculate the remainder when k is divided by 31. 15 What is the remainder when (-7)/(-28) - (-2469)/12 is divided by 27? 17 Let w(f) = 3*f**3 + f**2 - 5*f + 10. Calculate the remainder when w(3) is divided by 10. 5 What is the remainder when -29 - -29 - (1 + -87) is divided by (-186)/(-10) - 12/(-30)? 10 Let h = 475 + -302. Calculate the remainder when h is divided by 63. 47 Suppose 3*r + 1245 = 8*r. Suppose 0*a = -3*a + r. Let l = -28 - -49. What is the remainder when a is divided by l? 20 Suppose -925 = -53*s + 877. Calculate the remainder when s is divided by 8. 2 Calculate the remainder when 8/(-12) + 4774/42 is divided by 20. 13 Let m = -4 + 3. Let l(k) = -26*k - 2. Suppose 3 = b, 3*z = 2*b + 12 + 3. Calculate the remainder when l(m) is divided by z. 3 What is the remainder when 9/2*(-5200)/(-156) is divided by 19? 17 Let w(z) = z**3 - 12*z**2 + 27*z + 37. What is the remainder when w(13) is divided by 9? 8 Let f = 11 + 0. Let z = 244 + -224. What is the remainder when z is divided by f - 2 - (1 + 1)? 6 Suppose 0 = 24*f - 1821 - 20811. What is the remainder when f is divided by 15? 13 Let y(x) = 2*x**3 - 3*x**2 - 2*x. Suppose -5*l + 9 = -2*l. Let v = 34 + 6. What is the remainder when v is divided by y(l)? 19 Let l(m) = 6*m**3 + 2*m - 2. Calculate the remainder when 23 is divided by l(1). 5 Let p = -786 + 819. Calculate the remainder when p is divided by 2/(-8) - 58/(-8). 5 Let w = -79 - -188. Let z = 166 - w. Calculate the remainder when 111 is divided by z/(-12)*(-8 + 4). 16 Let k = -2 - -2. Let l be ((-5)/2)/5 - (-108)/24. Suppose q = 2*n + 23, -5*q - l*n - n + 145 = k. What is the remainder when q is divided by 10? 7 Let s(j) = 12*j**2 + 2*j + 1. Let f = 179 - 143. What is the remainder when f is divided by s(-1)? 3 Calculate the remainder when 316 is divided by 3 + 2/4*34. 16 Suppose -4 = 2*z - 56. Calculate the remainder when (1 + 2)/3*127 is divided by z. 23 Let i(a) = -5*a - 42. Let z(f) = 25*f + 209. Let x(q) = -11*i(q) - 2*z(q). Calculate the remainder when x(16) is divided by 42. 40 Suppose 0 = -3*m - 5*u + 30 + 240, -5*u - 205 = -2*m. Let o = m + -60. Calculate the remainder when o is divided by 9. 8 Let a(t) = -t**2 - 3*t + 28. What is the remainder when a(0) is divided by 16? 12 Let z(b) = -b**3 + 6*b**2 - 2*b + 7. Let c = 45 - 41. Suppose t = 5*i - 36, i + 5*t + c = 4*i. What is the remainder when z(5) is divided by i? 6 Let i = -147 - -156. Suppose 52 = i*d - 29. What is the remainder when 44 is divided by d? 8 Let g = -70 - -67. Calculate the remainder when 9/((-8)/(-6)*g/(-12)) is divided by 14. 13 Let c = -16 + 23. Suppose c*o = 18 - 4. Suppose i + 9 = 5*p, 2*p - i = -3*i - 6. Calculate the remainder when o is divided by p. 0 Calculate the remainder when 1/(1 - 876/879) is divided by 37. 34 Suppose 0 = 2*q + 10, -2*x - 3*q + 24 = -9. Suppose -26*z + 22*z = -180. What is the remainder when z is divided by x? 21 What is the remainder when 67 is divided by 4/2*36/(-7 + 11)? 13 Let c(j) be the first derivative of -j**2 - 16*j - 6. What is the remainder when 16 is divided by c(-9)? 0 Suppose -i + 2*l - 774 = -5*i, 4*l = 4*i - 744. Suppose -152 = -3*d + 5*q, 0 = 2*d - 6*d - 5*q + i. Calculate the remainder when d is divided by 17. 15 Suppose -2*a = u - 2*u + 118, -5*a = 4*u - 407. Calculate the remainder when u is divided by 19. 13 Suppose r + 1 = 5. Let t(k) = 22*k**3 + 2*k - 1. Let n be t(1). Suppose -3*q = 3*m - 39, -4*q - n = -5*q + r*m. What is the remainder when q is divided by 8? 7 Suppose 3 = 2*o - 9. Suppose 0*t = 3*k + 2*t - 13, -t = -3*k + 16. Suppose -2*v = -k*v + 63. What is the remainder when v is divided by o? 3 Let b(z) = z**2 - 6*z + 12. Let w be b(2). Suppose 0*k - w*k = -48. Calculate the remainder when 21 is divided by k. 9 Let g be (3 - 4)/(6/30). What is the remainder when (-44)/((-10)/g)*4/(-2) is divided by 15? 14 Suppose -2*x - 2*c = -4*x + 758, -9 = 3*c. Suppose 6*b = 2*b + x. Calculate the remainder when b is divided by 32. 30 Let d(u) = 6*u**2 - 17*u - 5. Let n(o) = 5*o**2 - 16*o - 5. Let j(r) = -6*d(r) + 7*n(r). Calculate the remainder when 5 is divided by j(-9). 1 Let b = 141 + -28. Let o = b - 63. Calculate the remainder when 347 is divided by o. 47 Suppose 1479*n - 1478*n - 65 = 0. What is the remainder when 78 is divided by n? 13 Let o(y) = 5*y + 6*y - 5*y - 63 + 13*y + y**2. What is the remainder when 17 is divided by o(-22)? 2 Suppose -4*l - 9 + 49 = 0. Suppose -4*i + 5 = -7. Suppose -4*o + 92 = 4*k, i*o - 3*k + 41 = 5*o. What is the remainder when o is divided by l? 8 Let g = 1554 + -1360. Calculate the remainder when g is divided by 13. 12 Let k be -12 + 8/2*1. Let i = 38 - k. Calculate the remainder when i is divided by 16. 14 Let q = 147 + -136. Let y = 46 + -16. Calculate the remainder when y is divided by q. 8 Let l = 799 + -592. Calculate the remainder when l is divided by 69. 0 Let p(m) = -17*m - 14. Let l be (-1)/(-3) + 1*14/(-6). What is the remainder when 95 is divided by p(l)? 15 Let l = 1483 - 911. What is the remainder when l is divided by 41? 39 Let h = 1008 - 930. What is the remainder when 248 is divided by h? 14 Let g = 43 + -16. Suppose -2*p - 5*y = 3*p - 100, 0 = 5*p - 5*y - 50. What is the remainder when g is divided by p? 12 Suppose 5*n = -3*w + 159, 5*n + 352 = 5*w + 47. Calculate the remainder when 1 + w*2 - (2 - 4) is divided by 20. 19 Let q = 159 + 31. Suppose 3*d = 8*d - q. Calcula
{ "pile_set_name": "DM Mathematics" }
hich is the closest to -2/1135? (a) 5/3 (b) -0.15 (c) -0.3 b Which is the closest to -14.6? (a) -0.05 (b) -1/2 (c) -3/2 (d) 0 c What is the closest to 0.1 in 0.3, -10999, -0.3? 0.3 What is the closest to -2 in 5, 2/97, -1/2, -5, -6? -1/2 Which is the nearest to 1/4? (a) 0.04 (b) -2/3 (c) 2/13 (d) -9 c Which is the nearest to -4? (a) 9/22 (b) 0.09 (c) 0.1 (d) -1/6 d Which is the closest to -4? (a) 4.37 (b) 0.2 (c) 0 (d) 4 c What is the nearest to 0.1 in -1, 0.007, -0.5, 36? 0.007 What is the nearest to -0.2 in 3, 2, 91.9, 16, -2/9? -2/9 What is the nearest to -0.1 in 0.4, -4.33, 0.02, 3? 0.02 Which is the closest to -3/2? (a) -12 (b) 0.4 (c) -3/2 (d) 5 (e) 1/4 c What is the nearest to 36/77 in 4, -1/5, -0.4, -5, -4? -1/5 What is the closest to 1 in 1, 15, -1/85, -3? 1 Which is the closest to 2/9? (a) 1.7 (b) -72 (c) 3/4 (d) -1/6 d What is the nearest to 0.013 in 2/21, 2/497, 0.2? 2/497 Which is the closest to 0? (a) 113/2 (b) -41 (c) 3 (d) -5 c What is the closest to 55 in -4, -3/7, -0.4, -0.07? -0.07 What is the nearest to 0.5 in -2, -0.64, -1/5, -1? -1/5 Which is the nearest to 39? (a) -6 (b) 0.1 (c) 0.6 (d) -1/3 c Which is the closest to 1/10? (a) 1/4 (b) 3/2 (c) 5 (d) 0.6714 a What is the closest to -0.2 in 2, 58, -3, -7, -4? 2 Which is the nearest to -1? (a) -2 (b) -0.3 (c) -12 (d) 178 b What is the closest to -1 in -0.2, -16.1, 1, -125? -0.2 Which is the nearest to 302? (a) -7 (b) -1 (c) 1.3 c What is the nearest to 4 in 2/25, 10, 3/11, 4? 4 What is the closest to 1/9 in -3/157, 24, 3? -3/157 What is the nearest to 0 in -1/3, -11, 2, -2.6, 3? -1/3 What is the nearest to -0.2 in 8, -9/2, 3, -49, -0.1? -0.1 What is the nearest to 56 in 8/29, 5, -4/7? 5 What is the closest to 0.17 in -11/16, 1/4, -1, 0.3? 1/4 What is the closest to 2/15 in 0.31, 2/57, -2, 5, 3? 2/57 Which is the closest to -33? (a) -4 (b) 9 (c) -1 a What is the closest to 2 in -168, 3/8, -0.4? 3/8 What is the nearest to 0 in -0.1, 240, 4, -65? -0.1 What is the nearest to 2 in 52, 2/17, -20? 2/17 Which is the nearest to 71? (a) -43/8 (b) 5 (c) -11 b What is the closest to 3587 in -2/5, 2/7, 1/2, 4? 4 What is the nearest to 0.1 in -3, -1/232, 1/2, 4? -1/232 Which is the closest to 0? (a) -3/4 (b) 4 (c) 0 (d) 65 (e) -2 c Which is the closest to -2/11? (a) 155 (b) -3 (c) -0.1 c What is the closest to 2 in -119, -1/8, 4, -1.5, -1? 4 What is the closest to -0.7 in 11, 2/3, -3/5, -7? -3/5 Which is the closest to 2/5? (a) 0.17 (b) -14 (c) -2 a What is the closest to -0.1 in 286, 13, -8? -8 What is the closest to -3/5 in 39, 50, 5, -1? -1 What is the nearest to 2/3 in 8, 2/67, -3? 2/67 What is the nearest to -1 in -40818, -0.4, 0.1? -0.4 What is the closest to -69/125 in 3/2, -0.02, 0, -2/7? -2/7 What is the nearest to 0 in -0.1, -0.08, 0.073? 0.073 What is the closest to 17 in 103, -3/4, -3, 1/5, 5? 5 Which is the nearest to 2? (a) 7 (b) -1 (c) -1/10422 c Which is the closest to 5? (a) -1 (b) -0.4 (c) 9/5 (d) -14/5 c Which is the closest to -2/5? (a) 7 (b) -1.18 (c) -4 (d) -9 b What is the closest to -0.1 in -0.2, 440, 113? -0.2 What is the closest to 0.1 in 289, -27, -4? -4 What is the closest to -1 in -16, -1/11, -0.5, -1871/4? -0.5 What is the nearest to 2 in -0.5, 4, 2, -2/5, -0.2? 2 Which is the nearest to 0.1? (a) 8 (b) -9 (c) 3 (d) 73 (e) 2/13 e Which is the closest to 54? (a) -13 (b) 2 (c) 0.8 b What is the nearest to 0.2 in -3/43, 0.1, 2, 1/3? 0.1 What is the closest to -3 in 1400.6, -1, 0.3? -1 Which is the nearest to 1/5? (a) -0.4 (b) -3/4 (c) 0.5 (d) -153 (e) -5 c What is the closest to -1/3 in 47, -29, 0.1, 0.5? 0.1 Which is the closest to 1? (a) 9 (b) -0.028 (c) 5 b What is the closest to 0.2 in -0.5, -10/7, 11/2, 0.5? 0.5 What is the nearest to -0.1 in -52, 9, 53, -0.8? -0.8 What is the nearest to -4 in -3, 122, 4/7, 0.1? -3 What is the nearest to 0.1 in 0.4, 0, 2365.4? 0 Which is the closest to 47? (a) -0.2 (b) 3 (c) -26 (d) 5 (e) 3/4 d What is the closest to 0 in 291, 26, -0.03, -2? -0.03 What is the closest to 1 in 0.4, 162, -3, 2/3, 2.6? 2/3 Which is the nearest to 1? (a) -2 (b) 508 (c) 31.8 a Which is the nearest to -1/3? (a) -3/5 (b) -4/7 (c) -2763 (d) 0 b What is the nearest to 51 in 4/5, 0.5, -497? 4/5 What is the nearest to -0.2 in 21.4, -4, -8/5? -8/5 Which is the closest to 148.6? (a) 3 (b) 6/13 (c) -0.4 (d) 2 (e) -0.2 a What is the nearest to -3.66 in -3, 5, -5, -1? -3 What is the closest to -2/15 in -1, 2, -3030, -3, -0.4? -0.4 What is the closest to -1 in -6/5, 112, 0.5, -0.6? -6/5 Which is the nearest to 0.036? (a) -5 (b) 28 (c) 101 a Which is the closest to -1? (a) 549 (b) -4 (c) 0 (d) 2/3 (e) 0.1 c Which is the closest to -4? (a) 1/6 (b) 0.2 (c) 31806 a Which is the nearest to 0.1? (a) 0.6 (b) -5/2 (c) 12 (d) -22 a What is the closest to -3 in 4, -158, -0.01? -0.01 Which is the closest to -2/43? (a) -45 (b) -1/4 (c) -2/7 b What is the closest to -61/8 in -0.05, 52/3, 3? -0.05 What is the nearest to -2/9 in 9, 0.09, 4, -5, 0? 0 What is the nearest to -2/7 in -23, -1, 393/5? -1 What is the closest to 25/9 in 2, -0.1, -9, 0.4? 2 What is the nearest to 1 in 0.5, 2, -0.11244, 4? 0.5 What is the nearest to -3/4 in 1.103, 2/5, 2, 4? 2/5 What is the closest to 2 in 316/11, 0.21, -1/4? 0.21 What is the nearest to 0.27 in 0.8, -2, -0.3? 0.8 What is the closest to 106/3 in -0.3, 0, 0.2, 84? 0.2 What is the closest to -2/113 in 4, -2/57, 1/4? -2/57 Which is the closest to -1? (a) 1 (b) 1/6 (c) -4 (d) 0.5 b Which is the nearest to 2/3? (a) -2864 (b) -3 (c) 2 c Which is the closest to 30? (a) -1.1 (b) -2/7 (c) 0.1 c What is the nearest to 4/15 in -3, -2/7, 1066, 5/4? -2/7 Which is the nearest to -7? (a) -1088 (b) 3/7 (c) 0.4 c Which is the nearest to -4? (a) -5 (b) 0.0245 (c) -1/4 a Which is the nearest to 1/3? (a) -4690 (b) 3 (c) -1/6 (d) 0.1 (e) -2/3 d Which is the nearest to -0.3? (a) 2/17 (b) 151.73 (c) 0.1 (d) 0 d Which is the closest to 0? (a) 3 (b) 1/12 (c) 1/23 (d) 5 c Which is the nearest to -218? (a) -2/11 (b) 1/3 (c) 0.4 (d) 44 (e) -5 e What is the closest to -1 in 0, 4, -0.3, -64, -1/7? -0.3 What is the closest to 0 in -130, 0.06, 5, -1/10? 0.06 What is the closest to -1/19 in 12, 10, -2? -2 What is the closest to 0.5 in -592, 5, 0? 0 Which is the nearest to 0.03? (a) 2 (b) -0.1 (c) -3/38 (d) -0.4 (e) 190 c Which is the nearest to -1/71? (a) -5 (b) -7 (c) 1/3 c Which is the closest to -2? (a) 14/3 (b) 2/13 (c) -1.7 c Which is the nearest to -6? (a) 5 (b) 95 (c) 0 (d) 6 (e) -3/7 e What is the closest to -1/6 in -1/10, -2, -105/16? -1/10 Which is the closest to -1/4? (a) -109.4 (b) -1 (c) -1/4 (d) 1/6 c What is the closest to 14 in -4, 3/7, -1.8, 105? 3/7 What is the nearest to 0.2 in 0, 36597, -6? 0 What is the nearest to -3 in 5, 9.2192, -1/6, 3? -1/6 What is the closest to 0.3 in 13, -20, 1, 3? 1 What is the closest to 9 in 8, -1, -53? 8 Which is the closest to -1? (a) -582 (b) -0.3 (c) 0 b Which is the nearest to 11/4? (a) 0 (b) 2 (c) 3/2 (d) -2/5 b What is the nearest to -1/9 in -2/5, 16, 5, -4/5? -2/5 Which is the closest to -1/2? (a) -4 (b) -3122 (c) 9 a Which is the closest to 0.1? (a) -17 (b) 5 (c) 0.032 c What is the closest to 3 in -0.2, 1/14, -36, 0.4? 0.4 What is the closest to 0.16 in -58, -0.3, -0.1, -23? -0.1 Which is the nearest to 2/5? (a) -21.01 (b) -436 (c) -2/5 c What is the nearest to -2 in -74, 1/2778, 1/4? 1/2778 Which is the nearest to -0.0283? (a) 4 (b) -1/6 (c) 3 (d) -2/7 (e) -1/8 e What is the nearest to 1/6 in -5/11, -1/5, -1? -1/5 What is the nearest to 52 in 1/5, 6/7, 4? 4 What is the nearest to -1 in 1, 0.18, -34/5, 15, 2/13? 2/13 What is the closest to 0 in 3/10, 5, 474? 3/10 Which is the nearest to 1/3? (a) -4 (b) -0.2 (c) -3/5 (d) -2/1585 d What is the nearest to 1/2 in 3/4, -313, -5? 3/4 What is the closest to 2/5 in -0.4, -26, -2, -9/4, 9? -0.4 What is the closest to -24 in 276, -0.16, -0.2? -0.2 What is the closest to 1 in 2, 2/7, 27, -0.2, 20? 2/7 What is the nearest to 0.2 in 3, -120, -0.49? -0.49 What is the closest to -0.06 in 3, 5, -17.6? 3 What is the nearest to 1645 in -3/4, -3, 1, -0.4? 1 Which is the cl
{ "pile_set_name": "DM Mathematics" }
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k. 0, 2 Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0. -2 Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y). -4*y**2 Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such that w*h - 4/5*h**4 + 0 + 0*h**3 + 4/5*h**2 - 2/5*h**5 = 0. -1, 0, 1 Suppose 4*w - w + 9 = 0. Let y(t) = 8*t**2 + 8*t + 4. Let l(p) = -p**3 + 9*p**2 + 9*p + 5. Let v(s) = w*y(s) + 2*l(s). Factor v(f). -2*(f + 1)**3 Factor 4*k**5 - 8*k**2 + 3*k**5 + 2*k + 5*k**4 - 9*k**3 + 3*k**2. k*(k - 1)*(k + 1)**2*(7*k - 2) Let w(h) be the second derivative of -h**7/98 - 3*h**6/70 - 3*h**5/70 + h**4/14 + 3*h**3/14 + 3*h**2/14 - 5*h. Solve w(j) = 0 for j. -1, 1 Let v(q) be the second derivative of -1/24*q**4 + 1/4*q**3 - 1/2*q**2 + 3*q + 0. Let v(b) = 0. Calculate b. 1, 2 Let t(q) be the second derivative of -q**4/4 + q**3/6 - 5*q. Factor t(p). -p*(3*p - 1) Let t(z) = -7*z + 42. Let m be t(6). Let k(x) be the second derivative of 0 + 0*x**3 - 1/25*x**5 - 1/75*x**6 + m*x**2 + x - 1/30*x**4. Factor k(q). -2*q**2*(q + 1)**2/5 Let l(s) be the third derivative of s**8/112 - s**6/40 + 5*s**2. Factor l(c). 3*c**3*(c - 1)*(c + 1) Suppose p = 2*p + 95. Let q = 477/5 + p. Factor q*x**3 + 0*x**2 + 0 + 0*x. 2*x**3/5 Let p(m) be the second derivative of -3*m + 0 + 1/21*m**3 - 1/7*m**2 + 1/42*m**4 - 1/70*m**5. Suppose p(f) = 0. Calculate f. -1, 1 Suppose 0 = 2*a - 13 - 7. Let s be (-5)/a + (-10)/(-12). Let s*r - 1/3*r**2 + 0 = 0. Calculate r. 0, 1 Let u(h) be the first derivative of -h**4/24 - h**3/6 - h**2/4 + h + 3. Let k(d) be the first derivative of u(d). Factor k(z). -(z + 1)**2/2 Suppose 0*o + 0 + 2/21*o**2 + 0*o**3 - 2/21*o**4 = 0. Calculate o. -1, 0, 1 Factor 7/3*k**2 - 3*k**3 + 2/3*k + 0. -k*(k - 1)*(9*k + 2)/3 Let x = 21 - 19. Suppose 64*i + 0*i**x + 4 - 60*i + i**2 = 0. Calculate i. -2 Suppose -14*f = -19*f. Factor 0*a + 2/9*a**2 - 4/9*a**3 + 2/9*a**4 + f. 2*a**2*(a - 1)**2/9 Let n(b) be the third derivative of -4*b**2 + 0 + 1/150*b**5 + 0*b + 1/15*b**3 - 1/30*b**4. Factor n(i). 2*(i - 1)**2/5 Let k(h) be the third derivative of h**5/12 - 5*h**4/2 + 30*h**3 + 2*h**2 + 2*h. Factor k(l). 5*(l - 6)**2 Let y(u) be the third derivative of -u**8/10080 + u**7/420 - u**6/40 + 3*u**5/20 + u**4/4 - 4*u**2. Let i(j) be the second derivative of y(j). Factor i(n). -2*(n - 3)**3/3 Factor 1/2*v**2 + 1/4*v**3 - 1/2 - 1/4*v. (v - 1)*(v + 1)*(v + 2)/4 Let u(m) be the third derivative of -1/945*m**7 + 0*m - 1/270*m**6 - m**2 - 1/270*m**5 + 0*m**4 + 0 + 0*m**3. What is w in u(w) = 0? -1, 0 Let p(q) be the first derivative of -5 - 1/9*q**3 - 1/6*q**2 + 2/3*q. Let p(b) = 0. What is b? -2, 1 Let f(v) be the first derivative of 4*v**2 - v - 4/3*v**3 - 2 + 1/6*v**4. Let x(t) be the first derivative of f(t). Factor x(y). 2*(y - 2)**2 Suppose -3*d - 2*p = -19, -2*d - 3*p + 30 = 3*d. Let r = d - 1. Factor -2/5*u + 2/5*u**3 - 2/5*u**r + 2/5. 2*(u - 1)**2*(u + 1)/5 Let d(z) = 2*z + 2. Let s be d(0). Factor 0*m - 2/3 + 2/3*m**s. 2*(m - 1)*(m + 1)/3 Factor -8*t - 8/3 - 4*t**3 - 2/3*t**4 - 26/3*t**2. -2*(t + 1)**2*(t + 2)**2/3 Let j(u) = -u**3 + 7*u**2 - u + 10. Let h be j(7). Let -2 + 20*x - 3 + 2 + 3*x**h - 14*x**2 - 5 = 0. What is x? 2/3, 2 Suppose 2*c = -81 + 85. Factor 6/5*b**c + 0*b + 3/5*b**5 + 0 + 0*b**4 - 9/5*b**3. 3*b**2*(b - 1)**2*(b + 2)/5 Let o(q) be the second derivative of q**7/14 + 3*q**6/2 + 9*q**5/2 - 95*q**4/2 + 225*q**3/2 - 243*q**2/2 + 35*q. Let o(n) = 0. Calculate n. -9, 1 Let q(f) be the second derivative of -f**7/84 - 11*f**6/180 - f**5/20 + f**4/6 + 2*f**3/9 + 15*f. Determine c, given that q(c) = 0. -2, -2/3, 0, 1 Let q(u) be the second derivative of u**4/78 + u**3/39 + 3*u. Factor q(g). 2*g*(g + 1)/13 Let z(m) = -m**5 - m**3 + m. Let p(v) = -6*v**5 - 2*v**3 + 2*v**2 + 5*v. Let w(i) = -3*p(i) + 15*z(i). Factor w(a). 3*a**2*(a - 2)*(a + 1)**2 Let h be 8/14 - 36/112. Factor -u - 1 - h*u**2. -(u + 2)**2/4 Factor -6*s**3 - 3*s**2 - 64 + 8*s**3 - 4*s**3 - 17*s**2 - 64*s. -2*(s + 2)*(s + 4)**2 Let f = -15 - -18. Factor -2*a + 1 + 0 - 3*a**f - a**4 + 5*a**3. -(a - 1)**3*(a + 1) Let k(d) be the third derivative of -d**8/120960 - d**7/15120 - d**6/4320 + 2*d**5/15 - 2*d**2. Let o(a) be the third derivative of k(a). Factor o(m). -(m + 1)**2/6 Let s be 2/(-9) + 145/45. Suppose 5*b - s*i - 22 = 0, b - 3*i - 8 = 6. Factor -j**b - j**3 + j - 2*j**4 + 2*j**4 + j**4. j*(j - 1)**2*(j + 1) Let w(r) be the first derivative of -r**4/2 + 2*r**3 - 2*r**2 + 11. Suppose w(q) = 0. What is q? 0, 1, 2 Let k(p) be the third derivative of 16/15*p**3 - 1/150*p**6 + 2/25*p**5 - 2/5*p**4 + 0*p - 4*p**2 + 0. Determine m, given that k(m) = 0. 2 Let i = 434 - 431. What is j in 0*j - 1/3*j**i + 2/3*j**2 + 0 = 0? 0, 2 Let u(j) be the third derivative of j**6/10 - j**5/15 - j**4/2 + 2*j**3/3 - 3*j**2. Find k, given that u(k) = 0. -1, 1/3, 1 Suppose 0 = 5*c - 5*w + 6*w - 12, -4*w = -4*c + 24. Solve 0 + 1/6*n**4 + 0*n + 1/2*n**c + 0*n**2 = 0 for n. -3, 0 Let v(l) = -l + 3*l**3 - 3 + 2*l**3 + 5*l**2 - 4*l**3. Let a be v(-5). Factor -4*u**a + 2*u**2 + 2*u + 4*u**2. 2*u*(u + 1) Suppose 2*v + 14 = 18. Suppose 5*o = v + 8. Solve 3/5*s - 2/5 - 1/5*s**o = 0 for s. 1, 2 Let f(i) be the first derivative of -25*i**3/3 - 105*i**2 - 80*i + 4. Factor f(n). -5*(n + 8)*(5*n + 2) Let r(l) be the second derivative of 2*l**3 - 6*l**2 + 0 - l - 1/4*l**4. Factor r(v). -3*(v - 2)**2 Suppose -z - 2*y = -3, 5*z = -y + 4*y + 15. Find t such that -t + 0*t**3 + 2*t**2 + 3*t**3 - t**z - 3*t**3 = 0. 0, 1 Let z(r) be the third derivative of r**7/5040 - r**5/240 + r**4/12 + 2*r**2. Let f(i) be the second derivative of z(i). Factor f(d). (d - 1)*(d + 1)/2 Let r be ((-3)/(-7))/(8/(-574)). Let m = r + 31. Determine h, given that -m*h**3 - h**2 - 1/2 - 5/4*h = 0. -2, -1 Let i(k) = -4*k**2 + 7*k - 1. Let d be (6 + -9)*1*-1. Let y(t) = 5*t**2 - 8*t. Let q(s) = d*y(s) + 4*i(s). Suppose q(a) = 0. What is a? 2 Let k = 94 + -753/8. Let u = 5/8 + k. Find m, given that 1/2*m**4 + u*m**2 + m**3 + 0 + 0*m = 0. -1, 0 Let u(f) = 4*f**3 - f**2. Suppose 0 = c - 0*c - 1. Let z be u(c). Solve -3*g**3 + g + 2*g**z + g + g**2 = 0. -1, 0, 2 Let x = -21 - -15. Let z = 8 + x. Determine k so that 14*k**z - 2 + 2 - 4*k = 0. 0, 2/7 Let x = 48/119 - 2/17. Let 0 - 5/7*v**2 - 4/7*v**3 - x*v - 1/7*v**4 = 0. Calculate v. -2, -1, 0 Let d(v) be the third derivative of -v**7/840 + v**6/480 + v**5/80 - v**4/96 - v**3/12 - 5*v**2. Determine w so that d(w) = 0. -1, 1, 2 Let d(q) be the first derivative of q**6/120 + q**2 - 2. Let x(s) be the second derivative of d(s). Find b, given that x(b) = 0. 0 Suppose -2*u + 9 = z, -5*u = -3*z - 8 + 2. Determine n so that 0 - 4/3*n**u + 2/9*n**2 + 4/9*n = 0. -1/2, 0, 2/3 Let h(g) be the first derivative of -g**6/720 - g**5/240 + g**4/24 + 2*g**3/3 + 4. Let z(n) be the third derivative of h(n). Find r such that z(r) = 0. -2, 1 Let y(h) be the first derivative of -3*h**4/4 - 2*h**3 + 3*h**2/2 + 6*h + 5. Factor y(v). -3*(v - 1)*(v + 1)*(v + 2) Suppose -4*x - 2*y = 12, -5*y - 10 = x - 8*y. Let s(c) = 4*c**2 - 3*c + 17. Let i(z) = -z**2 + z - 4. Let o(g) = x*s(g) - 18*i(g). Let o(b) = 0. Calculate b. 1, 2 Let w(u) be the second derivative of -u**5/30 - u**4/18 + 2*u**3/9 - 11*u. Solve w(z) = 0. -2, 0, 1 Let p(n) be the second derivative of -n**6/30 + n**5/10 + 7*n**4/12 - 10*n**3/3 + 6*n**2 - 22*n. Solve p(y) = 0. -3, 1, 2 Let l(i) be the first derivative of -i**6/72 + 2*i**5/45 - i**4/72 - i**3/9 + 4*i**2 - 4. Let m(o) be the second derivative of l(o). Factor m(f). -(f - 1)**2*(5*f + 2)/3 Let a(p) be the second derivative of p**4/48 - p**3/8 + p**2/4 + 4*p. Let a(z) = 0. Calculate z. 1, 2 Suppose -9 = -m - 2*m. Let u = 4 - m. Factor -u + 3*f + 2 - f**2 - 7*f + 4*f**3. (f - 1)*(f + 1)*(4*f - 1) Let l(a) be the first derivative of -1 + 25/6*a**4 + 16/15*a**5 - 4/3*a**2 - 7/3*a**6 - 16/9*a**3 + 0*a. Let l(u) = 0. Calculate u. -1, -2/7, 0, 2/3, 1 Let v(i) be the third derivative of i**8/90720 - i**7/3780 + i**6/360 + i**5/60 + 4*i**2. Let z(u) be the third derivative of v(u). Let z(y) = 0. What is y? 3 Let s(h) = -h**2 - h + 1. Let g(m) = m**2 - 9*m - 3. Let c(y) = 2*g(y) + 6*s(y). Determine i, given that c(i) = 0. -6, 0 Let c(
{ "pile_set_name": "DM Mathematics" }
-7? 5 Let r(s) = 2*s**2 + s - 1. What is the remainder when 49 is divided by r(-3)? 7 Suppose 7*p - 2*p = 10. Suppose 6*v - p*v = 28. What is the remainder when 25 is divided by v? 4 Suppose 4*w - 205 = -3*m, -95 = -2*w - 2*m - m. Calculate the remainder when 109 is divided by w. 54 Suppose -3*a + 136 = 832. What is the remainder when 71 is divided by a/(-13) + (-22)/(-143)? 17 Let a = -143 - -213. What is the remainder when a is divided by 18? 16 What is the remainder when (-1)/3 - 300/(-36) is divided by 6? 2 Suppose 5*f - 17 = -w + 11, 30 = 5*w + 3*f. What is the remainder when 15 is divided by w? 0 Suppose 0 = -5*p + 17 + 38. Let u(s) = s**2 - s - 4. Let o be u(4). Suppose 38 = 5*v + o. What is the remainder when p is divided by v? 5 Let i = -6 - 27. Let z = i - -48. Let l(h) = -7*h - 7. Calculate the remainder when l(-5) is divided by z. 13 Suppose 2*k = -5*k + 581. Calculate the remainder when k is divided by 24. 11 Suppose s = 2*c + 16, 69 = 5*s - s - 3*c. Calculate the remainder when 31 is divided by s. 13 Suppose -2*w + 45 = 3*w. What is the remainder when w is divided by (-27)/(-45) + 34/10? 1 Suppose -7 - 7 = -2*f. Let l = f + -3. Suppose -5*x + 108 = 4*g - 6, 48 = 2*x + l*g. What is the remainder when 64 is divided by x? 20 Let o(j) = -4*j**2 - 5 + 2*j**3 + 3 - 4*j**3. Let z(y) = y**3 - 4*y**2 + 4*y - 3. Let r be z(2). What is the remainder when o(r) is divided by 6? 4 Let n = -6 - -40. Calculate the remainder when n is divided by 12. 10 Let y(o) = -o**3 + 6*o**2 - 8*o + 4. Let r be y(6). Let c = -25 - r. Suppose l - 17 = 2*l + 5*g, 0 = 5*l - g - c. What is the remainder when 8 is divided by l? 2 Suppose -3*f + u = 9 - 23, 4*u + 29 = 3*f. Calculate the remainder when (-47)/(-4) + 7/(28/(-3)) is divided by (2 - (-2)/(-3))*f. 3 Suppose o - 17 - 2 = 0. What is the remainder when o is divided by 7? 5 Suppose -3*h + i + 98 = -149, h + 2*i = 87. Let a = h - 52. Calculate the remainder when a is divided by 11. 9 Let r = -1 + 10. What is the remainder when (-2)/4 + 102/4 is divided by r? 7 Let j(h) = h**3 + 5*h**2 - 8*h - 6. Let d = -2 + 19. What is the remainder when d is divided by j(-6)? 5 Suppose -5*j - 76 + 631 = 0. What is the remainder when j is divided by 28? 27 Suppose 0 = -4*k + 3*k + 7. What is the remainder when (-132)/9*(-3)/2 is divided by k + 3/(-6)*-2? 6 Let b = 10 + 0. Let m = 41 - 13. Calculate the remainder when m is divided by b. 8 Let j(n) = 11*n - 18*n + 10*n. What is the remainder when 12 is divided by j(1)? 0 Let y = 9 - -11. Calculate the remainder when y is divided by 11. 9 Let l(j) be the first derivative of j**3/3 - 2*j**2 - 7*j - 2. What is the remainder when l(9) is divided by 13? 12 Suppose -4*q - d = -23, 2*d + 2 + 15 = q. Let v(n) = n**2 + 5*n + 7. Calculate the remainder when v(-6) is divided by q. 6 Let r = 61 + -45. Calculate the remainder when 61 is divided by r. 13 Suppose 0 = -3*r - r + 40. Let o = 11 + r. Calculate the remainder when 61 is divided by o. 19 Let l(g) = 4*g. Suppose -9 - 15 = -4*j. Suppose -3*s = 3*c - 3, -5*c + 3*s = -7 - j. Calculate the remainder when l(1) is divided by c. 0 Let n(w) = w**2 + 0 + 1 - 3. Let g be n(-2). Suppose 0 = 4*f + 5*u - 9, -3*f + g = 4*u - 5. Calculate the remainder when f is divided by 1. 0 Suppose -5 = -q - 2*l + 10, 2*l = -3*q + 45. What is the remainder when 42 is divided by q? 12 Let c be (-1)/(2 - 9/4). Let r = 9 + c. Calculate the remainder when 36 is divided by r. 10 Let g(i) = -3*i - 22. What is the remainder when g(-15) is divided by 13? 10 Suppose -4*u - 14 + 370 = 0. Calculate the remainder when u is divided by 23. 20 Let c = 4 + 18. Calculate the remainder when c is divided by 12. 10 Suppose 0 = 5*x - x - 48. Calculate the remainder when (92/3)/(6 + (-112)/21) is divided by x. 10 Let n(c) = 3*c**2 + c - 1. What is the remainder when 11 is divided by n(-2)? 2 Let f be ((-3)/(-6))/(2/12). Let q be (-2 + 4)*(14 + f). Suppose 71 = 5*r + 2*v - v, -v = -2*r + q. What is the remainder when 42 is divided by r? 12 Let l = 105 - 77. What is the remainder when 109 is divided by l? 25 Let i = -20 - -26. Calculate the remainder when i is divided by 1. 0 Let n be -6*((-2)/6 - -1). Calculate the remainder when 2/(-4) + 468/8 is divided by n/26 + 1572/78. 18 Suppose -x + 30 = 4*f, 2 = -2*x + x. Calculate the remainder when 70 is divided by f. 6 Let l(m) = -m**2 + m + 69 + 0*m**3 - 8 - m**3. Let f be l(0). Suppose -5*w + 48 = -4*r, 5*w = 2*r + f - 7. Calculate the remainder when 22 is divided by w. 10 Let n = 50 - 26. What is the remainder when 71 is divided by n? 23 Suppose -2*m - 3*h + 0 + 11 = 0, -4*h = 2*m - 14. Let w = 1 + m. Calculate the remainder when 4 is divided by (w - 1)/(2/6). 1 Suppose -7 = -c - 1. Let s = c + 5. What is the remainder when s is divided by 3? 2 Let b(j) = -6 + 8*j + 1 + 8. Calculate the remainder when b(2) is divided by 10. 9 Suppose a - 6*a = -130. Suppose -456 = -23*w + 17*w. What is the remainder when w is divided by a? 24 Suppose 0*x + x - 7 = 0. Suppose 10 = l - 5*a, -116 = -5*l + 6*a - 3*a. Suppose 1 - l = -2*o. Calculate the remainder when o is divided by x. 5 Let u(z) = -z**2 - 4*z + 3. Let h = -1 + -3. Calculate the remainder when u(h) is divided by 2. 1 Let z = -2 + 79. Suppose -5*v + 23 = -z. Calculate the remainder when v is divided by 7. 6 Let a(l) = -l**2 + 12*l - 10. Let g be 17/(-2) + 1/(-2). Let x = g - -16. Calculate the remainder when a(x) is divided by 13. 12 Suppose -25 = -3*t - 2*t, -22 = -4*x - 2*t. What is the remainder when 6 is divided by x? 0 Let j = 57 + -98. Let z = j - -87. What is the remainder when z is divided by 141/9 - 1/(-3)? 14 Suppose -2*t + 16 + 18 = 0. Let h = -12 + t. Let g = 1 + h. What is the remainder when 11 is divided by g? 5 Let z(j) = -j**3 + 5*j**2 + 4*j - 4. Let o be z(5). Suppose -s + o = 6. Suppose -a + 5 + s = 0. What is the remainder when 28 is divided by a? 13 Suppose 264 = 10*h - 6. Calculate the remainder when 133 is divided by h. 25 What is the remainder when (-3021)/(-21) + -2 + (-45)/(-21) is divided by 49? 46 Suppose 3*h - 21 = -3*b, 14 = 4*b + 2*h - 5*h. Calculate the remainder when 18 is divided by b. 3 Let x(v) be the first derivative of -3*v**2/2 + 2*v - 3. Calculate the remainder when 40 is divided by x(-4). 12 Suppose 5*o = 6*o + 3*w + 2, -5*o - 3*w + 14 = 0. Suppose o*k - 26 = -2*h, 3*h + 0*k + 1 = 2*k. Calculate the remainder when h is divided by 2. 1 Suppose 8*d + 231 = 15*d. Calculate the remainder when d is divided by 14. 5 Suppose 2*a = -0*a + 3*x - 12, 4*x = 3*a + 17. What is the remainder when (0 + -19)*(2 + a) is divided by 5? 4 Let q(o) be the third derivative of -1/40*o**6 + 1/8*o**4 - 3*o**2 - 1/60*o**5 + 1/3*o**3 + 0 + 0*o. Calculate the remainder when 31 is divided by q(-2). 15 Let s(z) = -z**3 + 10*z**2 + 10*z + 16. Let a be s(11). Suppose a*h + 20 = 55. Calculate the remainder when 12 is divided by h. 5 Let v(i) = i**2 + 3*i + 1. What is the remainder when v(-6) is divided by 1 + -3 + 9 + 3? 9 Let n(k) = -k**3 - 5*k**2 - 7*k - 5. Let c be (-4)/1*(-1)/1. Suppose -c = 2*d - 44. Calculate the remainder when d is divided by n(-4). 6 Suppose -2*u + 3*x + 42 = -0*u, -38 = -2*u + 4*x. What is the remainder when u is divided by (14/4)/((-1)/(-2))? 6 Suppose 0 = 5*o - 3*v + 1, 5*o + 5 = 4*v + 2. Let a = 48 + -29. Calculate the remainder when -2 + 37/o + 2 is divided by a. 18 Let z = -7 + 25. Suppose 3*n + 48 = -z. Let i = -13 - n. What is the remainder when 16 is divided by i? 7 Let p(k) = k**3 + k**2 + 28. What is the remainder when 53 is divided by p(0)? 25 Let g(f) = -f**3 - f**2 - f + 122. Suppose 0 = -6*i + 242 - 56. What is the remainder when g(0) is divided by i? 29 Suppose 18*a - 80 = 8*a. Calculate the remainder when 111 is divided by a. 7 Suppose -5*d + 28 - 18 = 0. Suppose -d*t = -24 + 4. Calculate the remainder when 28 is divided by t. 8 What is the remainder when 12 is divided by 62/14 + 3/(-7)? 0 Let r(n) = -n + 7. Calculate the remainder when 15 is divided by r(4). 0 Suppose 4*w = 4*k - 3*k - 12, -5*k = 5*w - 185. What is the remainder when 285 is divided by k? 29 Suppose -134 = -4*i + 5*f - 25, 2*f = 3*i - 73. What is the remainder when 39 is divided by i? 18 Suppose -3*t + 9 = -0*t. Let p be (-20)/6 - (-1)/t. Let d = p + 6. Calculate the re
{ "pile_set_name": "DM Mathematics" }
hgqd? 1/330 Four letters picked without replacement from {f: 2, w: 3, b: 6, m: 2, a: 1}. What is prob of sequence mfam? 1/6006 What is prob of sequence kxk when three letters picked without replacement from {x: 5, k: 11}? 55/336 Two letters picked without replacement from {p: 1, x: 2, c: 1, u: 1, d: 1, b: 1}. Give prob of sequence cb. 1/42 Calculate prob of sequence nt when two letters picked without replacement from {q: 1, g: 1, u: 2, n: 1, t: 4}. 1/18 Calculate prob of sequence ha when two letters picked without replacement from afhqaaqffjq. 3/110 What is prob of sequence iiii when four letters picked without replacement from {x: 10, i: 4}? 1/1001 Three letters picked without replacement from qqq. What is prob of sequence qqq? 1 What is prob of sequence bbb when three letters picked without replacement from {b: 3, i: 1}? 1/4 Three letters picked without replacement from hmoommopmmpmfm. Give prob of sequence mof. 1/104 Two letters picked without replacement from {c: 1, n: 1, i: 2, t: 2}. Give prob of sequence ni. 1/15 Calculate prob of sequence ggg when three letters picked without replacement from {g: 3, i: 2}. 1/10 Calculate prob of sequence qq when two letters picked without replacement from caqclcllqcl. 1/55 Calculate prob of sequence oobo when four letters picked without replacement from gbobgbbggbgogoggo. 1/476 Three letters picked without replacement from aqqqgqnamyagq. What is prob of sequence mgg? 1/858 Three letters picked without replacement from {n: 4, k: 2, w: 1, a: 2, p: 4, s: 1}. What is prob of sequence nap? 4/273 Three letters picked without replacement from oorpxxppprppxpopp. What is prob of sequence por? 9/680 Three letters picked without replacement from {d: 3, l: 5, c: 5, v: 1, q: 1}. What is prob of sequence cqv? 1/546 Four letters picked without replacement from {d: 5, z: 1, l: 1, v: 3, b: 1}. What is prob of sequence vblv? 1/1320 Calculate prob of sequence rss when three letters picked without replacement from {r: 3, s: 17}. 34/285 Three letters picked without replacement from orororoooor. Give prob of sequence oor. 28/165 Calculate prob of sequence uu when two letters picked without replacement from duudduuuuuudduuuduu. 26/57 Two letters picked without replacement from {z: 4, s: 2, e: 9, u: 1, g: 1}. What is prob of sequence ez? 9/68 Four letters picked without replacement from {y: 4, d: 2, g: 2, r: 3, q: 6}. What is prob of sequence qqdy? 1/238 Three letters picked without replacement from {q: 11, k: 3}. Give prob of sequence kkq. 11/364 Two letters picked without replacement from jqpqjpqqepjjqqtqq. Give prob of sequence jq. 2/17 What is prob of sequence du when two letters picked without replacement from duduuddduudud? 7/26 Calculate prob of sequence mbbb when four letters picked without replacement from mmmmcbbbmcbccc. 5/1001 Two letters picked without replacement from brrr. Give prob of sequence rr. 1/2 Two letters picked without replacement from {o: 2, x: 4, u: 4, q: 10}. Give prob of sequence qu. 2/19 Two letters picked without replacement from rrrerrrmrrrrruu. What is prob of sequence eu? 1/105 Two letters picked without replacement from rjrrrrrrrrjrrrrrrrr. Give prob of sequence jr. 17/171 Four letters picked without replacement from dssddvddddvvv. Give prob of sequence ddsv. 14/715 Two letters picked without replacement from xxss. Give prob of sequence xx. 1/6 What is prob of sequence gf when two letters picked without replacement from bgfbnnb? 1/42 Calculate prob of sequence zznz when four letters picked without replacement from {z: 5, n: 9}. 45/2002 Three letters picked without replacement from wwwfwwlwfwfflf. What is prob of sequence flf? 5/273 Calculate prob of sequence rxt when three letters picked without replacement from {s: 1, c: 1, y: 3, t: 2, r: 4, x: 4}. 16/1365 Three letters picked without replacement from {p: 1, n: 1, j: 1, v: 1, k: 1}. What is prob of sequence kpn? 1/60 Calculate prob of sequence tndt when four letters picked without replacement from {n: 4, d: 1, w: 3, t: 3}. 1/330 Three letters picked without replacement from ekkekkkkkkkkekkk. Give prob of sequence eee. 1/560 Calculate prob of sequence hq when two letters picked without replacement from qhoqohqqo. 1/9 Calculate prob of sequence hdzd when four letters picked without replacement from dzhhuhdh. 1/210 Four letters picked without replacement from wjwwwjwwjwww. Give prob of sequence wjjj. 1/220 Four letters picked without replacement from {m: 1, o: 2, y: 3, g: 1, n: 3}. What is prob of sequence ymng? 1/560 Four letters picked without replacement from vvvcccvccvvvcccc. Give prob of sequence vvvc. 9/208 Four letters picked without replacement from {d: 2, r: 1, v: 1, f: 2, s: 1, o: 1}. What is prob of sequence svdo? 1/840 Two letters picked without replacement from {f: 5, j: 1, r: 3, q: 3, w: 1, k: 1}. Give prob of sequence rw. 3/182 Three letters picked without replacement from {b: 2, x: 1}. Give prob of sequence bxb. 1/3 Three letters picked without replacement from {h: 4, m: 1, f: 3, s: 2, z: 1, r: 4}. What is prob of sequence shr? 16/1365 Four letters picked without replacement from {u: 2, o: 6, e: 1, n: 3}. Give prob of sequence oueu. 1/990 Two letters picked without replacement from {d: 10, b: 4}. Give prob of sequence bd. 20/91 Two letters picked without replacement from {b: 1, g: 3}. What is prob of sequence gb? 1/4 Calculate prob of sequence bb when two letters picked without replacement from {e: 2, b: 4, k: 10, q: 3}. 2/57 Four letters picked without replacement from spsvrvspvspcsrvp. What is prob of sequence vspp? 1/182 Two letters picked without replacement from {k: 5, d: 1, s: 8, x: 2, m: 3}. Give prob of sequence kx. 5/171 Four letters picked without replacement from {x: 18, r: 2}. Give prob of sequence rrxx. 1/190 What is prob of sequence wwf when three letters picked without replacement from {w: 8, m: 1, f: 11}? 77/855 Calculate prob of sequence ne when two letters picked without replacement from {n: 4, e: 1, w: 9}. 2/91 Two letters picked without replacement from wwgwrwggwgg. What is prob of sequence ww? 2/11 What is prob of sequence jh when two letters picked without replacement from jehtepp? 1/42 Four letters picked without replacement from yyyyyy. Give prob of sequence yyyy. 1 Two letters picked without replacement from zoonxxx. Give prob of sequence xo. 1/7 Three letters picked without replacement from gvhndhvnvnvnhvvhvhvv. What is prob of sequence hdg? 1/1368 What is prob of sequence noj when three letters picked without replacement from qneonnreejr? 1/330 Calculate prob of sequence xs when two letters picked without replacement from {x: 2, n: 9, s: 3, z: 3, g: 1}. 1/51 Two letters picked without replacement from kwwdcwkbckwwccc. Give prob of sequence dk. 1/70 Three letters picked without replacement from {f: 6, g: 4, m: 3}. Give prob of sequence mgm. 2/143 Four letters picked without replacement from {h: 15, p: 3}. Give prob of sequence phph. 7/408 Four letters picked without replacement from {j: 5, d: 8}. What is prob of sequence jjdj? 4/143 Three letters picked without replacement from {f: 1, q: 1, s: 2, n: 1, e: 1, j: 1}. What is prob of sequence eqs? 1/105 Four letters picked without replacement from duedduedueddduudu. What is prob of sequence uuud? 2/119 Calculate prob of sequence wvl when three letters picked without replacement from {s: 1, w: 1, v: 13, l: 2}. 13/2040 Two letters picked without replacement from ddcccddcdddccdcccddd. Give prob of sequence dd. 11/38 What is prob of sequence jjp when three letters picked without replacement from {j: 5, i: 1, g: 2, p: 1}? 5/126 Calculate prob of sequence hcc when three letters picked without replacement from {c: 3, h: 4}. 4/35 Calculate prob of sequence lf when two letters picked without replacement from {f: 3, v: 1, c: 6, x: 3, l: 2, w: 4}. 1/57 Calculate prob of sequence lo when two letters picked without replacement from {l: 6, o: 2}. 3/14 What is prob of sequence my when two letters picked without replacement from {y: 2, u: 1, m: 1}? 1/6 Calculate prob of sequence une when three letters picked without replacement from {f: 5, u: 6, j: 6, e: 1, n: 1}. 1/969 Calculate prob of sequence lii when three letters picked without replacement from {p: 4, x: 2, l:
{ "pile_set_name": "DM Mathematics" }
vided by k. 11 Suppose 3*d - 5*j - 32 = 0, -4*j - 10 = -d + 10. What is the remainder when d/(-10) - (-92)/5 is divided by 5? 3 Let l(u) be the first derivative of -2 + 0*u + 0*u**3 + 17/2*u**4 + 1/2*u**2. What is the remainder when l(1) is divided by 18? 17 Let w = 52 + -28. Calculate the remainder when w is divided by 7. 3 Suppose 10*s - 22 = 48. Calculate the remainder when 19 is divided by s. 5 Let a = -3 - -4. Suppose 10 = -0*y + 2*y. Suppose v - 3*v = 5*w - 7, y = 4*w + v. Calculate the remainder when w is divided by a. 0 Let j be 0 + 2 - (-360)/5. Let w = j - -37. Calculate the remainder when w is divided by 28. 27 Suppose 0 = 3*o - 28 - 14. Calculate the remainder when 1/(1/24) + 2 is divided by o. 12 Calculate the remainder when 36 is divided by ((32 - -4) + 2)/2. 17 What is the remainder when ((-118)/10)/(8/(-40))*1 is divided by 15? 14 Let x be 46/(-3) + (-5)/(-15). Let k = x - -43. What is the remainder when 109 is divided by k? 25 Let b(s) = -6*s + 1. Let p be b(-1). Let c = 3 + p. What is the remainder when 28 is divided by c? 8 Suppose 3*k - 19 = -1. What is the remainder when 10 is divided by k? 4 Let w(v) = -v**3 - 8*v**2 - 10*v - 6. What is the remainder when 27 is divided by w(-7)? 12 Let i = 0 + 34. Calculate the remainder when i is divided by 18. 16 Suppose 2*h = 3*h + 4. Let q(n) = -2*n - 2. Calculate the remainder when 15 is divided by q(h). 3 What is the remainder when 47 is divided by (6 - 4)/((-4)/(-20) + 0)? 7 Let g be 10 + (0 - 1) + -3. Suppose 2*h + 24 = g*h. Calculate the remainder when 21 is divided by h. 3 Let r = -19 - -17. What is the remainder when 34 is divided by (-108)/(-6)*r/(-3)? 10 Let h(n) = 2*n**3 - 13*n**2 + 8*n - 2. Calculate the remainder when 118 is divided by h(6). 8 Let v(j) = -j**2 + j + 37. Suppose -5*b + 0*b = 0, d + 3*b = 0. Calculate the remainder when v(d) is divided by 10. 7 Let j = 233 + -208. What is the remainder when j is divided by 10? 5 Let n = -13 + 11. What is the remainder when (-2 + 2)/n - -3 is divided by 3? 0 Let a(d) = -d + 8. Suppose 0 = b - 4*j - 0*j - 27, b - 2*j - 21 = 0. Calculate the remainder when b is divided by a(0). 7 Let w be 3/(-2)*40/(-15). Let a = 14 + -7. Calculate the remainder when ((-24)/14)/(w/(-28)) is divided by a. 5 Suppose 66 = 5*h + 26. Calculate the remainder when 54 is divided by h. 6 Suppose -4*s + s = -183. Suppose -2*j - 95 = 5*w + 3*j, 2*w + 50 = -5*j. Calculate the remainder when s is divided by (-18)/2*35/w. 19 Suppose 0 = -5*b + 23 + 2. Suppose -b*r + 2*c = -84, -r = 4*r - 5*c - 90. Calculate the remainder when 47 is divided by r. 15 Suppose -4*d + 12 = -4*v, 6 = -d - v - v. Let q = -6 + d. Let o = q - -8. What is the remainder when 4 is divided by o? 0 Let c(j) = -2*j - 8. Let g(p) = 5*p - 2*p + 8 - 5*p. Let a be g(7). What is the remainder when c(a) is divided by 3? 1 Let n(c) = c**3 - 2*c**2 - 9*c + 5. What is the remainder when n(4) is divided by 1? 0 Suppose -7 = -t + 2*f, -5 = 2*t - 3*t + f. Let k be 19/(-2) - t/6. Let n(d) = -d**3 - 11*d**2 - 16*d - 10. Calculate the remainder when n(k) is divided by 17. 16 Suppose 2*x + 2*p - 58 = 0, 7*x + 2*p = 3*x + 112. What is the remainder when 50 is divided by x? 23 Let y(d) = d**2 - 11*d - 12. Let k be y(12). Suppose k*n - n + 21 = -t, -2*n = -t - 37. What is the remainder when ((-3)/(-9))/(1/93) is divided by n? 15 Let z = 12 + -4. Let c = z - -14. Calculate the remainder when 85 is divided by c. 19 Suppose 6*i = 87 + 87. What is the remainder when 53 is divided by i? 24 Suppose 5*m = -0*m + 5. Let p be (-6)/(-12) - 6/(-4). Suppose -7 = -p*v - m. Calculate the remainder when 5 is divided by v. 2 Suppose 2*g = 27 + 7. Let q(l) = l + 7. Calculate the remainder when g is divided by q(3). 7 Let v(d) = 2*d - 4. Let j = 20 - 16. Calculate the remainder when 11 is divided by v(j). 3 Suppose 4*f - 83 = 3*n, -113 = -4*f + n - 32. What is the remainder when 0 + (7*8 - -2) is divided by f? 18 Suppose -3*p - 5*f = -278, -79 = -3*p + 3*f + 191. Calculate the remainder when p is divided by 24. 19 Let m = 0 - -1. Let k(x) = x**2 - x - 1. Suppose -3*s - 2*f + 10 = 0, -s + 4*s + 4*f = 14. What is the remainder when m is divided by k(s)? 0 Suppose -13*x = -10*x - 69. What is the remainder when 111 is divided by x? 19 Let s(g) = 8*g**2 + 1. Let u be s(-2). What is the remainder when u/(-6)*(-1 - 1) is divided by ((-12)/15)/(1/(-5))? 3 Let i = 25 - 12. Let x be 1 - (-37 + (-1)/1). What is the remainder when i is divided by x/9 + (-2)/(-3)? 3 Suppose 2*d + 6 = -f - 4*f, f = 5*d - 12. What is the remainder when 11 is divided by d? 1 Suppose -2*w - 2*f = f - 13, -3*f = 4*w - 17. Let m = 2 - -3. Suppose 0 = -5*s + 25 - m. What is the remainder when s is divided by w? 0 Suppose 0 = -3*m + 2*m + 131. What is the remainder when m is divided by 19? 17 Let u(q) = 5*q - 10. What is the remainder when 26 is divided by u(5)? 11 Suppose l + 2*r - 6 = 0, -5*l = -0*l + 3*r - 30. Suppose l*w - w - 25 = 0. What is the remainder when 8 is divided by w? 3 Suppose b = 13 + 4. Calculate the remainder when b is divided by 6. 5 Let a(i) be the second derivative of i**5/20 - i**4/3 + i**3/2 - 5*i**2/2 - 2*i. What is the remainder when a(5) is divided by 18? 17 Let n(z) = 3*z**3 + z. Let r be n(1). Let s = 6 + 4. Calculate the remainder when (-110)/(-6) + r/6 is divided by s. 9 Let r(o) = 2*o**3 - 4*o**2 - 5*o - 4. What is the remainder when 118 is divided by r(4)? 38 What is the remainder when 6/15 - (-193)/5 is divided by 21? 18 Suppose -y = 3*y - 16. Suppose -t - 84 = -3*t. Suppose 0 = 3*p - 6*p + t. Calculate the remainder when p is divided by y. 2 Let b = -17 - -92. What is the remainder when b is divided by 17? 7 Suppose -4 = 3*c - 4*c. What is the remainder when 18 - 1*(c + -4) is divided by 10? 8 Suppose -o = 3*u - 174, 3*o + 183 = 3*u + o. What is the remainder when u is divided by 15? 14 Let n(y) = y**2 + 5*y - 2. Let w be n(-6). Suppose -w*p = -m + 16, -5*m = -p + 13 - 74. What is the remainder when 23 is divided by m? 11 Suppose 5*i - 10 = 0, -3*v - 3*i = -7*v + 14. What is the remainder when 8 is divided by v? 3 Let v(l) = 6*l + 4. Let k(t) = -t**3 - 3*t**2 + t + 3. Calculate the remainder when v(9) is divided by k(-4). 13 Let o(h) = 6*h**2 + h. Let r be o(-1). Let l be (4/10)/(1/r). Suppose b + 26 = l*b. Calculate the remainder when b is divided by 9. 8 Let b = 116 + -101. Calculate the remainder when b is divided by 7. 1 Let n(w) = -3*w**3 - 5*w**2 - 3*w + 3. Let v be n(-3). Suppose p = -3*p + v. What is the remainder when 45 is divided by p? 9 Let x(p) = -p**3 - 7*p**2 + 27*p - 2. Calculate the remainder when x(-10) is divided by 6. 4 Let j = 48 + -15. Suppose -9*i + 6*i + 51 = 0. Calculate the remainder when j is divided by i. 16 Let v be (-2)/(2 + 9/(-3)). Suppose 30 = o - 0*o + v*x, -x = -5. What is the remainder when o is divided by 11? 9 Suppose 3*z + 165 = -l, 2*l - z + 173 = l. Let q = -86 - l. Calculate the remainder when q is divided by 22. 19 Let b = 5 - -29. Calculate the remainder when 100 is divided by b. 32 Let c(a) = a**2 - 5*a + 7. Let q be c(10). Let u = q - 26. What is the remainder when u is divided by 16? 15 Suppose -6*p + 11*p - 80 = 0. Calculate the remainder when 46 is divided by p. 14 Let q = -103 - -173. Calculate the remainder when q is divided by 24. 22 Let w = 1 + 3. Suppose -w*c = 3*m - 7*c - 147, -5*m + 2*c + 236 = 0. Suppose 0 = f - 4 - 12. What is the remainder when m is divided by f? 14 Let a = 15 + -9. What is the remainder when 16 is divided by a? 4 Let v be ((-3)/2)/(-1)*2. Suppose 26 = 5*f + v*p, 10 = 4*f + 4*p - 14. What is the remainder when f is divided by (4/(-6))/(6/(-27))? 1 Let y be (-1)/(-2) - 158/(-4). Suppose -5*k = 3*d - 20, 5*k + 0*d - d - y = 0. Calculate the remainder when 11 - (-2)/((-8)/20*-5) is divided by k. 5 Let r = 126 - 62. What is the remainder when r is divided by 17? 13 Suppose 2*y - y = 0. Suppose y = m - 5*w, 0 = -0*m + 2*m - 3*w - 21. Calculate the remainder when (-4)/(-6) - 127/(-3) is divided by m. 13 Let l(m) = m**2 + m. Calculate the remainder when 6 is divided by l(1). 0 Let n(g) be the second derivative of -g**4/12 - 11*g**3/6 - 5*g**2 - 2*g. What is the remainder when 52 is divided by n(-7)? 16 Suppose -4*v - 25 = v, -t + 4*v + 49 = 0. Let y(a) =
{ "pile_set_name": "DM Mathematics" }
.3 d Which is the second biggest value? (a) -5 (b) 0.2 (c) -4 (d) 54 (e) 4 e What is the smallest value in 3/4, -0.5, -1.1, 0.4, -7? -7 Which is the second biggest value? (a) -53 (b) -0.4 (c) -0.5 (d) 0.3 (e) -5 b Which is the fourth biggest value? (a) 11 (b) -2/19 (c) 5 (d) 1 (e) 33 d Which is the fourth smallest value? (a) -0.3 (b) -3 (c) -2/7 (d) -1 c Which is the second smallest value? (a) 1/4 (b) 0.5 (c) -9 (d) -0.3 d What is the fourth smallest value in 3, -0.4, -5/3, 2, -8? 2 What is the smallest value in 2/3, 0, -1/12? -1/12 Which is the third smallest value? (a) -13 (b) -0.7 (c) 1 c What is the third smallest value in -0.35, 3/2, 1, -0.4? 1 What is the second smallest value in 0, -5, -0.1, -11, -1? -5 Which is the fourth smallest value? (a) -0.3 (b) 0.2 (c) 115/17 (d) 1/3 (e) 0.4 e Which is the fourth smallest value? (a) 2/13 (b) 12 (c) -2 (d) -1/5 b Which is the third biggest value? (a) 5 (b) 14.1 (c) -4/3 c What is the second biggest value in -7, 0, -0.3, 0.1? 0 Which is the smallest value? (a) -0.04 (b) 239 (c) 0 a What is the third smallest value in -1/4, -1/2, -65? -1/4 What is the fourth biggest value in 3, 1, 0, -5/2? -5/2 What is the fourth smallest value in 1/5, 0.4, 0.011, 2/7? 0.4 What is the biggest value in 1, 0.7, 13.7? 13.7 Which is the smallest value? (a) -0.5 (b) -1 (c) 1 b Which is the fourth smallest value? (a) 3/5 (b) -2 (c) -1 (d) -5/6 a Which is the fifth biggest value? (a) 0.5 (b) 1 (c) 3/2 (d) -0.2 (e) -80 e Which is the third biggest value? (a) 0.6 (b) 17 (c) -0.2 (d) -1 (e) -1/6 e Which is the smallest value? (a) 3 (b) -2 (c) -4/9 (d) 11 b What is the second biggest value in -4, -9.4, -3, 3/4? -3 Which is the third biggest value? (a) 0.1 (b) 12 (c) 4 (d) 0.4 d Which is the second smallest value? (a) 3 (b) 4 (c) -0.034 (d) 21 a Which is the fourth biggest value? (a) 3/5 (b) -2/11 (c) -1/2 (d) 7.23 c Which is the third biggest value? (a) 440 (b) -4 (c) -0.1 (d) 1/2 (e) 4 d Which is the biggest value? (a) 1/4 (b) 2/5 (c) 4 c What is the second biggest value in 4, -4, -1/4, -0.02, 0.4? 0.4 Which is the biggest value? (a) -0.3 (b) 2 (c) 4 (d) 0.41 c What is the third biggest value in -0.94, -1/5, 3, 0.7, 1? 0.7 What is the second biggest value in -8, 14, 2/9? 2/9 Which is the third smallest value? (a) -0.2 (b) -7/4 (c) 7 c What is the second smallest value in -1, -5, -0.3, -7? -5 What is the fourth smallest value in -4, -3, -27.9, 0.5? 0.5 Which is the fourth biggest value? (a) -2.3 (b) -1.2 (c) 0.2 (d) -1 a Which is the biggest value? (a) -0.4 (b) 2/5 (c) 3 (d) 1/60 c What is the third smallest value in -9/14, -1, 1/3, 0? 0 What is the third smallest value in -2/31, -0.3, -12/5? -2/31 What is the third smallest value in -5, 4.6, 3, -4? 3 What is the third biggest value in -1, 0, -4? -4 What is the third smallest value in 7/12, 1, -0.3, -0.4, 4? 7/12 Which is the third biggest value? (a) 57/2 (b) -3/7 (c) 1/2 b Which is the biggest value? (a) 3/4 (b) 4 (c) 0.4 (d) -1/3 b Which is the third smallest value? (a) -0.3 (b) 100 (c) -3/4 b Which is the third smallest value? (a) -2/3 (b) -0.1 (c) 112/19 c What is the third smallest value in 1/3, 0, -770.9? 1/3 What is the second smallest value in 2/7, 2, 4, -0.3, -89? -0.3 What is the fourth smallest value in -0.3, -1/3, -0.14, 0.1, 63? 0.1 What is the second biggest value in 5, -0.1, 12.33? 5 What is the third biggest value in 2/19, 1/2, 0.14, 1/6? 0.14 Which is the fifth biggest value? (a) 3/4 (b) 4 (c) -2/5 (d) 6 (e) -0.2 c Which is the third biggest value? (a) 1.2 (b) 2/7 (c) -1/5 c Which is the third biggest value? (a) 11 (b) 0 (c) -0.3 (d) 2/7 b Which is the smallest value? (a) -2/5 (b) -3/4 (c) -1/9 b Which is the biggest value? (a) 0.5 (b) -1/6 (c) 0.303 (d) 3 (e) 0.1 d Which is the second smallest value? (a) 0 (b) -5 (c) 144/7 (d) 2 a Which is the smallest value? (a) 2 (b) 13 (c) 5 a Which is the second smallest value? (a) 6 (b) -1/6 (c) 0.2 (d) -18 b Which is the smallest value? (a) -3 (b) -76 (c) -5 b Which is the smallest value? (a) -0.5 (b) 5 (c) 0.024 (d) 2 a What is the third biggest value in -1/9, 2, -59? -59 Which is the second biggest value? (a) -45 (b) -2/3 (c) 1/6 b What is the fourth biggest value in 2, 0.8, 0.1, -0.02? -0.02 Which is the biggest value? (a) 0 (b) 3 (c) 0.2 (d) -2/103 b Which is the third smallest value? (a) 5 (b) 0 (c) -2390 (d) -2/7 (e) -3 d Which is the smallest value? (a) -9 (b) 0.5 (c) 1 (d) -5/7 a What is the second smallest value in 10, 3, 3/17, -1? 3/17 Which is the third biggest value? (a) 1 (b) -2/489 (c) -2 c Which is the biggest value? (a) 0.5 (b) 0.59 (c) 2/13 b What is the second biggest value in 242, 2/39, 1/7, 1/6? 1/6 Which is the third smallest value? (a) 0.04 (b) -3 (c) -2 a Which is the third biggest value? (a) 24 (b) 2 (c) -0.4 (d) -1/8 d What is the second biggest value in 0.3, -24, 2/5, 0.1? 0.3 What is the biggest value in -0.5, 5, 3, 0.2, 22? 22 Which is the smallest value? (a) 4 (b) 6 (c) -0.3 (d) -0.5 d What is the third smallest value in -9/11, 3, -5? 3 Which is the smallest value? (a) -3 (b) 0.4 (c) -1 (d) 0 (e) 3/7 a What is the biggest value in -5, 4, 0.2, 1/3? 4 What is the smallest value in -3, 4, 8, 1, 0.05? -3 What is the biggest value in 0.5, 5, -1/287, -2/5? 5 What is the third biggest value in -15, 0.5, 4? -15 Which is the second biggest value? (a) -1 (b) -48/5 (c) -0.2 a Which is the smallest value? (a) 0.1 (b) -0.5 (c) 0.08 (d) -3 d Which is the biggest value? (a) 0.06 (b) 2/3 (c) -2 b Which is the biggest value? (a) -2/7 (b) 36 (c) 4 (d) 9 b What is the smallest value in 1.2, 2/19, -2, -1/5? -2 What is the fifth smallest value in -0.2, 2/9, -5, -1/2, 0.03? 2/9 Which is the biggest value? (a) -1/3 (b) 1/7 (c) 4 (d) 0.4 c Which is the second smallest value? (a) 5 (b) -6 (c) 1/3 (d) 46/7 c Which is the third smallest value? (a) 4/3 (b) 1/3 (c) 5236 c Which is the second biggest value? (a) -12/77 (b) 0.2 (c) 1/7 c What is the smallest value in 0.3, -0.287, 1/7? -0.287 What is the third biggest value in -2/29, 4, -2/7, 7? -2/29 Which is the second smallest value? (a) -2/33 (b) -4 (c) -1 c Which is the third biggest value? (a) 0.1 (b) -3 (c) 9 (d) -4 (e) 46 a Which is the second biggest value? (a) -5/3 (b) -1 (c) 4 (d) 21 c Which is the third smallest value? (a) -54 (b) -3 (c) 0.2 (d) -11/7 (e) -2/7 d Which is the third biggest value? (a) 2/3 (b) -2/5 (c) -0.3 (d) 1 (e) 2/21 e Which is the biggest value? (a) 2/15 (b) -9 (c) 1.3 (d) -0.3 c Which is the biggest value? (a) 2 (b) -2/9 (c) 0.24 a What is the fourth biggest value in -0.2, 2/11, 3, -5, 10/63? -0.2 What is the second biggest value in 869, 2/11, -2/19? 2/11 Which is the fifth biggest value? (a) -2 (b) -0.9 (c) 2 (d) -3/2 (e) 2/5 a Which is the third biggest value? (a) 137 (b) -5 (c) 3 b What is the third biggest value in -6, -2, 0.4, 17/8? -2 What is the fifth smallest value in -1/5, -1, -11, -2/9, 3? 3 What is the third smallest value in 2/19, -1/15, 2/33? 2/19 Which is the biggest value? (a) 0.06 (b) 2/9 (c) 1/3 (d) -4 c Which is the third smallest value? (a) 201.8 (b) -0.3 (c) 1/3 a Which is the fourth smallest value? (a) 1/68 (b) 1/5 (c) 0.4 (d) -4/5 c Which is the smallest value? (a) 5/2 (b) -0.031 (c) -5 (d) 1 c What is the third smallest value in 0.22, -1/2, -202? 0.22 Which is the biggest value? (a) -2/7 (b) 0.6 (c) -5 (d) -0.7 b What is the fourth smallest value in -3/5, 0.5, 24, -4, -0.4? 0.5 What is the biggest value in 0.3, 1, 3/2, -0.9? 3/2 What is the smallest value in -1, 52/3, -5, -4? -5 Which is the fourth biggest value? (a) 3 (b) 2/9 (c) -28 (d) -3 c What is the third smallest value in 0.1, 1, -9/7? 1 Which is the third smallest value? (a) 36 (b) -2 (c) -3/5 a What is the smallest value in 0, 242, -1? -1 Which is the fourth biggest value? (a) -4 (b) 2 (c) 0 (d) -7.2 d Which is the third biggest value? (a) 7 (b) -1 (c) -5 (d) 0 b What is the third smallest value in 0, -0.2, -1, -1/6? -1/6 Which is the fourth biggest value? (a) 1 (b) -4 (c)
{ "pile_set_name": "DM Mathematics" }
rime factors of 6407. 43, 149 What are the prime factors of 96? 2, 3 What are the prime factors of 986? 2, 17, 29 List the prime factors of 42618. 2, 3, 7103 What are the prime factors of 18306? 2, 3, 113 List the prime factors of 881. 881 List the prime factors of 22783. 22783 What are the prime factors of 262? 2, 131 List the prime factors of 24944. 2, 1559 What are the prime factors of 976? 2, 61 List the prime factors of 11849. 17, 41 What are the prime factors of 10455? 3, 5, 17, 41 List the prime factors of 1709. 1709 What are the prime factors of 28843? 28843 What are the prime factors of 93801? 3, 31267 List the prime factors of 647. 647 List the prime factors of 2672. 2, 167 List the prime factors of 31690. 2, 5, 3169 What are the prime factors of 47521? 47521 List the prime factors of 342. 2, 3, 19 List the prime factors of 1554. 2, 3, 7, 37 List the prime factors of 529. 23 List the prime factors of 55106. 2, 59, 467 List the prime factors of 3815. 5, 7, 109 What are the prime factors of 36079? 109, 331 List the prime factors of 4255. 5, 23, 37 List the prime factors of 1508. 2, 13, 29 List the prime factors of 633. 3, 211 List the prime factors of 13567. 13567 List the prime factors of 11945. 5, 2389 List the prime factors of 11926. 2, 67, 89 List the prime factors of 13244. 2, 7, 11, 43 What are the prime factors of 52624? 2, 11, 13, 23 List the prime factors of 53034. 2, 3, 8839 What are the prime factors of 39631? 39631 What are the prime factors of 8961? 3, 29, 103 What are the prime factors of 131900? 2, 5, 1319 List the prime factors of 16923. 3, 5641 What are the prime factors of 12238? 2, 29, 211 What are the prime factors of 43951? 43951 What are the prime factors of 10803? 3, 13, 277 List the prime factors of 3063. 3, 1021 List the prime factors of 4369. 17, 257 List the prime factors of 8352. 2, 3, 29 What are the prime factors of 5741? 5741 What are the prime factors of 197432? 2, 23, 29, 37 What are the prime factors of 6284? 2, 1571 List the prime factors of 446. 2, 223 What are the prime factors of 14766? 2, 3, 23, 107 What are the prime factors of 1123? 1123 List the prime factors of 5249. 29, 181 List the prime factors of 1898. 2, 13, 73 List the prime factors of 5216. 2, 163 What are the prime factors of 36232? 2, 7, 647 What are the prime factors of 3114? 2, 3, 173 What are the prime factors of 11175? 3, 5, 149 What are the prime factors of 59239? 59239 List the prime factors of 904. 2, 113 List the prime factors of 25779. 3, 13, 661 List the prime factors of 50842. 2, 11, 2311 List the prime factors of 1403. 23, 61 List the prime factors of 900. 2, 3, 5 What are the prime factors of 488? 2, 61 What are the prime factors of 359? 359 List the prime factors of 21969. 3, 2441 List the prime factors of 23298. 2, 3, 11, 353 List the prime factors of 16451. 16451 What are the prime factors of 2824? 2, 353 List the prime factors of 50522. 2, 25261 List the prime factors of 509. 509 What are the prime factors of 9094? 2, 4547 What are the prime factors of 96892? 2, 24223 What are the prime factors of 6776? 2, 7, 11 List the prime factors of 817. 19, 43 What are the prime factors of 3040? 2, 5, 19 List the prime factors of 3830. 2, 5, 383 What are the prime factors of 10495? 5, 2099 What are the prime factors of 636? 2, 3, 53 List the prime factors of 47439. 3, 7, 251 What are the prime factors of 44743? 101, 443 What are the prime factors of 4529? 7, 647 What are the prime factors of 13509? 3, 19, 79 List the prime factors of 2687. 2687 List the prime factors of 25401. 3, 8467 List the prime factors of 1222. 2, 13, 47 What are the prime factors of 8288? 2, 7, 37 List the prime factors of 28466. 2, 43, 331 What are the prime factors of 11491? 11491 What are the prime factors of 2082? 2, 3, 347 List the prime factors of 651. 3, 7, 31 What are the prime factors of 46063? 73, 631 What are the prime factors of 313? 313 List the prime factors of 16519. 16519 List the prime factors of 2453. 11, 223 List the prime factors of 114215. 5, 53, 431 List the prime factors of 64684. 2, 103, 157 What are the prime factors of 1265? 5, 11, 23 What are the prime factors of 53426? 2, 26713 List the prime factors of 11699. 11699 What are the prime factors of 113? 113 What are the prime factors of 5226? 2, 3, 13, 67 What are the prime factors of 3880? 2, 5, 97 What are the prime factors of 6084? 2, 3, 13 What are the prime factors of 871? 13, 67 List the prime factors of 24839. 59, 421 List the prime factors of 15273. 3, 1697 List the prime factors of 8392. 2, 1049 What are the prime factors of 94304? 2, 7, 421 List the prime factors of 115731. 3, 7, 11, 167 What are the prime factors of 26663? 7, 13, 293 What are the prime factors of 23830? 2, 5, 2383 List the prime factors of 56578. 2, 28289 What are the prime factors of 6704? 2, 419 What are the prime factors of 6379? 6379 List the prime factors of 4809. 3, 7, 229 What are the prime factors of 98924? 2, 7, 3533 What are the prime factors of 21573? 3, 17, 47 List the prime factors of 2864. 2, 179 List the prime factors of 1732. 2, 433 What are the prime factors of 11620? 2, 5, 7, 83 List the prime factors of 8719. 8719 What are the prime factors of 840? 2, 3, 5, 7 List the prime factors of 323. 17, 19 What are the prime factors of 40859? 7, 13, 449 List the prime factors of 37455. 3, 5, 11, 227 List the prime factors of 1785. 3, 5, 7, 17 What are the prime factors of 3183? 3, 1061 List the prime factors of 23847. 3, 7949 What are the prime factors of 690? 2, 3, 5, 23 List the prime factors of 1907. 1907 What are the prime factors of 5761? 7, 823 What are the prime factors of 6248? 2, 11, 71 What are the prime factors of 32040? 2, 3, 5, 89 List the prime factors of 7939. 17, 467 List the prime factors of 65743. 29, 2267 List the prime factors of 19931. 19, 1049 What are the prime factors of 5034? 2, 3, 839 List the prime factors of 11674. 2, 13, 449 List the prime factors of 2303. 7, 47 List the prime factors of 6677. 11, 607 What are the prime factors of 786? 2, 3, 131 List the prime factors of 5527. 5527 List the prime factors of 11063. 13, 23, 37 What are the prime factors of 13329? 3, 1481 What are the prime factors of 11081? 7, 1583 List the prime factors of 2207. 2207 What are the prime factors of 8061? 3, 2687 What are the prime factors of 16939? 13, 1303 List the prime factors of 28240. 2, 5, 353 What are the prime factors of 304? 2, 19 List the prime factors of 29021. 29021 What are the prime factors of 2196? 2, 3, 61 What are the prime factors of 824? 2, 103 What are the prime factors of 67485? 3, 5, 11, 409 List the prime factors of 2107. 7, 43 What are the prime factors of 29819? 29819 List the prime factors of 4962. 2, 3, 827 What are the prime factors of 50796? 2, 3, 17, 83 List the prime factors of 9246. 2, 3, 23, 67 What are the prime factors of 179075? 5, 13, 19, 29 List the prime factors of 39522. 2, 3, 7, 941 What are the prime factors of 746? 2, 373 List the prime factors of 4618. 2, 2309 List the prime factors of 74229. 3, 109, 227 What are the prime factors of 32414? 2, 19, 853 What are the prime factors of 134177? 134177 List the prime factors of 7742. 2, 7, 79 List the prime factors of 1441. 11, 131 What are the prime factors of 24760? 2, 5, 619 What are the prime factors of 32101? 47, 683 List the prime factors of 18322. 2, 9161 What are the prime factors of 6517? 7, 19 List the prime factors of 6506. 2, 3253 List the prime factors of 46627. 7, 6661 List the prime factors of 5306. 2, 7, 379 List the prime factors of 19860. 2, 3, 5, 331 What are the prime factors of 149? 149 What are the prime factors of 23046? 2, 3, 23, 167 List the prime factors of 6452. 2, 1613 List the prime factors of 13601. 7, 29, 67 List the prime factors of 22699. 22699 What are the prime factors of 10644? 2, 3, 887 List the prime factors of 8950. 2, 5, 179 What are the prime factors of 9971? 13, 59 List the prime factors of 48019. 31, 1549 List the prime factors of 3134. 2, 1567 List the prime factors of 2826. 2, 3, 157 List the prime factors of 928. 2, 29 What are the prime factors of 5624? 2, 19, 37 What are the prime factors of 39118? 2, 19559 What are the prime factors of 98? 2, 7 Wh
{ "pile_set_name": "DM Mathematics" }
isor of f and 27? 9 Suppose 0 = 3*d - 3*y - 9 + 3, -4*y + 8 = 0. Suppose 5*w + 25 = 0, 3*w - 6*w = 5*u. Suppose -u*a - d = -4*a. Calculate the highest common factor of a and 2. 2 Let t(l) be the first derivative of l**3/3 - 9*l**2/2 - 15*l - 5. Suppose 5*g = 55 - 85. Let k be t(g). Calculate the highest common factor of k and 50. 25 Let t(l) = -l**2 + 89*l - 1511. Let r be t(66). Calculate the greatest common factor of 469 and r. 7 Let p be ((-6)/(-9))/(((-4)/(-18))/(-2)). Let o = 33 + p. Let t = 36 - o. Calculate the greatest common divisor of t and 9. 9 Let j = 287 - 275. Let r(b) be the third derivative of 5*b**4/24 - 5*b**3 - b**2. Let i be r(j). What is the greatest common factor of i and 30? 30 Suppose z - 3*f = 205, -2*f - 622 = -3*z - 0*f. Suppose 325*q - 111 - 33 = 316*q. Calculate the greatest common divisor of q and z. 16 Let o = -195 + 486. Suppose -134 = -5*a + o. What is the highest common divisor of 17 and a? 17 Let s(c) = -2*c**2 - 21*c - 102. Let b be s(-12). Let d = 186 - b. What is the greatest common divisor of d and 12? 12 Let h = 10877 + -3366. Calculate the greatest common factor of 777 and h. 259 Suppose 0 = -3*n + 2*y - 4*y + 2897, 1910 = 2*n - 4*y. Let l = 1025 - n. What is the highest common factor of l and 2? 2 Suppose -35*k = -32*k + 5*a - 13, 2*a = -5*k + 9. Calculate the greatest common divisor of 509 and k. 1 Suppose 11*w + 95 = 150. Suppose 0 = -s - 2*s + 105. Calculate the greatest common factor of w and s. 5 Let w be (12/(-24))/(4/(-16)). Let o be w/(-6) - 147/(-63) - -14. Calculate the greatest common factor of 112 and o. 16 Suppose 439*s = 454*s - 285. Calculate the highest common factor of s and 1102. 19 Suppose f = t, 10 = 4*t + 2*f - 8. Suppose -80*k + 79*k = -t. Suppose 2*q + c = 5, -k*q - 3*c - 10 = -2*q. Calculate the greatest common divisor of 80 and q. 5 Suppose 5*t = 2*v + 4 - 32, v + 5*t + 16 = 0. Suppose v*w + 2*w = 192. Calculate the greatest common divisor of 32 and w. 32 Suppose -p = -y + 17, 155 = 4*y - 2*p + 73. Let r be ((-160)/(-6))/(2/6). What is the highest common factor of r and y? 8 Suppose -4*n = -6*m + 7062, -2*n - 849 = 2*m - 3203. What is the highest common divisor of 321 and m? 107 Let m(o) = o**2 + 54*o - 2884. Let t be m(80). What is the highest common divisor of 60 and t? 12 Let k(n) = 2*n**3 - 2 - 3 - 13*n**3 - 5*n. Suppose 19*l = 158 - 196. Let w be k(l). What is the greatest common factor of w and 31? 31 Suppose 2*l - 158 - 116 = 0. Let g = l - 97. Calculate the greatest common divisor of 140 and g. 20 Suppose 115 = 14*n - 95. Suppose 2*k - v = 41 + 32, -5*v = n. What is the greatest common divisor of k and 35? 35 Suppose -i + 2*i - 4*r = 44, -i - 4*r + 4 = 0. Suppose -5*t + 0*t = -30. Suppose 2*l = t*l - 672. Calculate the greatest common factor of i and l. 24 Let q = -6826 - -8023. Calculate the highest common factor of 126 and q. 63 Let s(b) = -2*b**2 - 185*b + 1046. Let k be s(-90). Calculate the highest common divisor of k and 88. 88 Let f = -26598 + 30756. What is the highest common factor of 144 and f? 18 Suppose -61427 + 62092 = 5*k. Calculate the highest common factor of 2546 and k. 19 Let o = -10250 - -10268. Let a = -13 + 29. Let h = a - 10. What is the highest common factor of o and h? 6 Let p(u) = -22*u - 113. Let w be p(-6). Suppose 2*l = 4*q - 714, -906 = -24*q + w*q - 2*l. What is the greatest common divisor of q and 54? 18 Let i be 10/(-75) - (-2 - (-17168)/(-60)). Suppose -2*k - 960 = -7*k. What is the highest common factor of i and k? 96 Suppose 26*m - 6*m = 700. Calculate the highest common factor of 5 and m. 5 Let z be 46960/112 + 40/56. Calculate the highest common divisor of 700 and z. 140 Let d = 47096 - 45587. Calculate the greatest common factor of 39 and d. 3 Let g(t) = -5*t**2 - 176*t + 288. Let r be g(-23). Calculate the highest common factor of 171 and r. 19 Suppose 4*f + 3*n = 360, -4*f + 4*n = 6*n - 364. Suppose 94*j = f*j + 90. Calculate the greatest common divisor of j and 70. 10 Let g(v) be the second derivative of 0*v**3 + 0 + 10*v + 6*v**2 + 1/4*v**4. Let m be g(4). Calculate the highest common factor of 24 and m. 12 Let y(o) = 13*o - 129. Let f be y(24). Let b = 354 - f. What is the highest common divisor of b and 57? 57 Suppose -13*m = -16*m + 3*r + 1740, m - 2*r - 576 = 0. Let o = m + -553. Calculate the highest common divisor of o and 1147. 31 Let k = -573 + 578. Suppose -3*v = 13*h - 8*h - 347, -k*v = -2*h - 568. Calculate the highest common factor of v and 456. 114 Let q be 39/((-546)/(-1988))*(-25)/(-2). Calculate the greatest common factor of q and 2130. 355 Let l be ((-24)/(-14))/(-65 + 56 - (-1767)/196). Let m(w) = w**3 + w**2 - w + 98. Let i be m(0). Calculate the greatest common divisor of l and i. 14 Suppose -3*t - 3*s + 6 = 0, 0 = -4*t - 2*s - 3*s + 7. Let u be 0 + 17 + t - -2. Let g = 1913 + -1671. Calculate the highest common divisor of g and u. 22 Let z = -3388 + 3408. Calculate the highest common factor of z and 3860. 20 Let d = -30 + 33. Suppose -3*r - r = -o + 71, 3*o = d*r + 222. Suppose 3*l - 200 = -l. What is the greatest common factor of o and l? 25 Let z(j) = -19*j**2 + 38*j + 2. Let v be z(0). Suppose 7*p = 2*p + 25. Suppose -p*r + 31 = -19. What is the greatest common divisor of r and v? 2 Let j be 4/(-4)*(-12)/2. Let x be (2576/920)/((-14)/(-240)). Calculate the highest common factor of j and x. 6 Let k(m) = -m**3 + 13*m**2 - 13*m - 2. Let h be k(12). Let n be (h/(-3))/((-5)/(-30)). Calculate the greatest common factor of 35 and n. 7 Let c = -735 - -1230. Let t(a) = 39*a - 461. Let z be t(12). Let i be 39 + (7/z)/(2/12). Calculate the highest common factor of c and i. 45 Let o(c) = 151*c - 2427. Let z be o(17). Suppose -3*y - 43 = -2*k, 3*k + 0*k + 3*y = 57. What is the greatest common divisor of k and z? 20 Let h(x) = -495*x + 149. Let p be h(-5). What is the highest common factor of p and 256? 64 Let k be 15/2*8/6. Let n = -61112 - -61202. What is the highest common factor of k and n? 10 Let m be 108/(1 + 2)*(-1546)/(-3092). Let p(v) = 29*v**3 + v**2. Let d be p(1). Calculate the greatest common divisor of m and d. 6 Let d be (9*(-485)/(-15))/((-237)/123 + 2). Calculate the greatest common factor of 194 and d. 97 Let s be -18 + 48/(-20)*20/(-8). Let y(n) be the third derivative of -n**4/24 - n**3 + n**2. Let a be y(s). What is the highest common divisor of a and 30? 6 Suppose -3*u = 4*u - 161. Let j(m) = -m + 0 + 2 - 6*m + u*m. Let n be j(4). Calculate the greatest common factor of 165 and n. 33 Let a(l) = -l**3 - 3*l**2 + 8*l + 49. Let v be a(-4). Calculate the greatest common factor of v and 3201. 33 Suppose 23 = 5*v + 3*a, -7 = -2*v + 4*a + 23. Let l = -38 - -130. Suppose -v*p + 412 + l = 0. What is the greatest common divisor of p and 18? 18 Suppose -403 = 15*i + 47. Let g be (i/(-25))/((-21905)/(-5475) - 4). Calculate the greatest common divisor of g and 18. 18 Suppose -4*y - 6 = -38. Let w = 70 - -98. Let b be (-10)/(-3)*(w/15 - 4). Calculate the greatest common factor of b and y. 8 Suppose -10 + 1 = -x. Suppose 0 = k + c - 41, 2*k - c - 34 = 45. Let j be -18*((-6)/8)/(12/k). What is the greatest common factor of j and x? 9 Let x(c) = -81*c + 3987. Let i be x(49). Calculate the greatest common factor of i and 22419. 9 Suppose 4*h - 2*h = -4*p + 60, 0 = -p - 3. What is the highest common factor of h and 471? 3 Let f = 27 - 27. Suppose 5*x = -2*r + 35, -9*x + 4*x + 30 = r. Suppose 135 = -f*a + 2*a - l, -r*a + 335 = -3*l. What is the greatest common factor of 7 and a? 7 Let o(l) = l**2 + 24*l + 43. Let f = -84 + 62. Let b be o(f). Let k(u) = 179*u**2 + 1. Let w be k(b). Calculate the highest common divisor of w and 20. 20 Let k = 226 + -271. Let c be k/2*16/(-12)*2. What is the highest common factor of c and 96? 12 Suppose -5*m + 22 = 3*i - 12, 5*i - 15 = 0. What is the greatest common factor of 106 and m? 1 Suppose -2*l + 68 + 63 = 5*k, 0 = l - 3*k - 71. What is the greatest common factor of 527 and l? 17 Suppose -5*l = t + t - 840, 365 = 2*l - 5*t. Let g = 201 - 48. Let q = l - g. What is the greatest common factor of 221 and q? 17 Suppose 22*r = -181 + 863. Let j be 72/(-54) - r/(-3). What is the highest common factor of 63 and j? 9 Let a = -233 + 378. Let t = a - 65. Calculate the highest common f
{ "pile_set_name": "DM Mathematics" }
ms in tonnes? 0.0000000003965147 How many days are there in 256923.21 hours? 10705.13375 How many nanoseconds are there in 0.2392145 days? 20668132800000 What is 1666.84ml in litres? 1.66684 Convert 1.32553cm to meters. 0.0132553 What is 681803.9 litres in millilitres? 681803900 How many grams are there in twenty-one quarters of a kilogram? 5250 What is seven quarters of a week in minutes? 17640 What is 6542.511m in millimeters? 6542511 How many months are there in 21/4 of a decade? 630 What is 91/2 of a meter in millimeters? 45500 What is 4.426147ml in litres? 0.004426147 Convert 9557.95um to kilometers. 0.00000955795 How many minutes are there in seventy-nine halves of a hour? 2370 What is nineteen tenths of a litre in millilitres? 1900 What is 366.3551l in millilitres? 366355.1 How many years are there in 15/4 of a millennium? 3750 How many kilograms are there in 92.31885 micrograms? 0.00000009231885 What is 0.767006 litres in millilitres? 767.006 Convert 66140.36cm to nanometers. 661403600000 What is 78/7 of a week in days? 78 How many decades are there in three fifths of a century? 6 How many hours are there in 49/6 of a day? 196 How many milliseconds are there in 3/25 of a minute? 7200 What is 8/25 of a litre in millilitres? 320 What is 51/2 of a micrometer in nanometers? 25500 What is thirty-three tenths of a week in minutes? 33264 What is 2/125 of a second in microseconds? 16000 How many meters are there in 1.255108 kilometers? 1255.108 What is 0.3696369 millennia in decades? 36.96369 What is 1/5 of a decade in years? 2 How many millilitres are there in thirteen quarters of a litre? 3250 How many years are there in 226556.3 millennia? 226556300 How many minutes are there in 7/6 of a day? 1680 Convert 5.21118mg to tonnes. 0.00000000521118 Convert 24237.255 months to decades. 201.977125 How many hours are there in 37/2 of a week? 3108 What is 52/5 of a litre in millilitres? 10400 Convert 106.2116 hours to milliseconds. 382361760 Convert 408.8961g to kilograms. 0.4088961 Convert 57.60625 weeks to microseconds. 34840260000000 What is fourty-two fifths of a micrometer in nanometers? 8400 What is 217591.5 centuries in years? 21759150 What is 53/5 of a meter in millimeters? 10600 Convert 9763.897um to kilometers. 0.000009763897 What is eight fifteenths of a century in months? 640 How many millilitres are there in one fifth of a litre? 200 How many micrograms are there in one quarter of a milligram? 250 How many decades are there in 8793.859 years? 879.3859 What is 1/15 of a hour in seconds? 240 Convert 667.7725 nanograms to micrograms. 0.6677725 How many grams are there in 3.838324 micrograms? 0.000003838324 What is 73.5431 days in microseconds? 6354123840000 What is 2895.646 decades in months? 347477.52 How many nanometers are there in 373133.5 centimeters? 3731335000000 How many tonnes are there in 90.80036 grams? 0.00009080036 How many millilitres are there in 61/2 of a litre? 30500 What is thirteen fifths of a litre in millilitres? 2600 How many nanometers are there in 6/5 of a micrometer? 1200 Convert 0.6867121 millennia to years. 686.7121 Convert 858.3752g to milligrams. 858375.2 What is 12/25 of a second in milliseconds? 480 How many grams are there in 15/4 of a kilogram? 3750 How many months are there in 13/5 of a millennium? 31200 How many hours are there in 1/24 of a week? 7 Convert 37107.59 kilometers to meters. 37107590 What is 34/5 of a kilogram in grams? 6800 What is 6/25 of a meter in millimeters? 240 How many nanometers are there in thirteen fifths of a micrometer? 2600 How many months are there in twenty-nine thirds of a century? 11600 What is one fifth of a tonne in kilograms? 200 Convert 5604.116kg to grams. 5604116 What is 9025.366 millilitres in litres? 9.025366 What is 90.40318cm in millimeters? 904.0318 What is 3/40 of a milligram in nanograms? 75000 How many millilitres are there in 11/2 of a litre? 5500 Convert 13.1139 micrograms to kilograms. 0.0000000131139 What is one fifth of a litre in millilitres? 200 How many millilitres are there in 3/10 of a litre? 300 How many decades are there in one quarter of a millennium? 25 How many nanograms are there in twenty-one quarters of a microgram? 5250 What is 5/4 of a microgram in nanograms? 1250 What is 15790.4316 seconds in days? 0.182759625 How many litres are there in 8924.472 millilitres? 8.924472 How many seconds are there in three eighths of a day? 32400 How many months are there in 7/4 of a century? 2100 How many months are there in 22504.62 centuries? 27005544 How many years are there in 1/10 of a century? 10 How many months are there in 4790.294 centuries? 5748352.8 Convert 0.39409 millilitres to litres. 0.00039409 Convert 0.852281 minutes to microseconds. 51136860 How many millilitres are there in 42/5 of a litre? 8400 What is 1/4 of a decade in months? 30 What is 84636.75 millennia in years? 84636750 How many grams are there in 21/8 of a kilogram? 2625 Convert 59156.45km to millimeters. 59156450000 What is 23.9284 years in millennia? 0.0239284 Convert 87.13005ns to milliseconds. 0.00008713005 Convert 2065868.4 months to years. 172155.7 What is six fifths of a litre in millilitres? 1200 What is 1/10 of a kilometer in centimeters? 10000 What is 0.6386172cm in micrometers? 6386.172 How many decades are there in 8.726194 centuries? 87.26194 How many milligrams are there in 6/5 of a gram? 1200 What is 141106.3 millilitres in litres? 141.1063 Convert 2.35386 years to centuries. 0.0235386 Convert 25088.81 litres to millilitres. 25088810 How many litres are there in 3.943247 millilitres? 0.003943247 How many nanoseconds are there in 26/5 of a microsecond? 5200 How many nanograms are there in 68955.99t? 68955990000000000000 What is three fifths of a tonne in kilograms? 600 What is 6481.337 centimeters in meters? 64.81337 How many nanometers are there in 671850.9um? 671850900 What is 0.6661974ml in litres? 0.0006661974 What is twenty-seven halves of a decade in years? 135 How many litres are there in 7.610976 millilitres? 0.007610976 How many minutes are there in twenty-eight thirds of a day? 13440 Convert 8.531666 grams to nanograms. 8531666000 What is eight sevenths of a week in days? 8 What is fourty-three halves of a litre in millilitres? 21500 Convert 56619.33 nanometers to kilometers. 0.00000005661933 What is 7/4 of a millennium in years? 1750 How many centimeters are there in 1/10 of a kilometer? 10000 How many micrometers are there in nineteen quarters of a millimeter? 4750 Convert 0.6881029 years to months. 8.2572348 What is eight thirds of a decade in months? 320 What is 71.50659s in nanoseconds? 71506590000 Convert 48906.71 kilograms to micrograms. 48906710000000 How many years are there in 0.429651 decades? 4.29651 What is one quarter of a kilometer in centimeters? 25000 Convert 460.7628 litres to millilitres. 460762.8 What is 1369.729 millennia in years? 1369729 What is 66442.5 years in decades? 6644.25 What is 440.455ng in milligrams? 0.000440455 What is fifteen quarters of a litre in millilitres? 3750 Convert 667097.6l to millilitres. 667097600 Convert 95.52936 nanoseconds to seconds. 0.00000009552936 What is 3752908.2 minutes in days? 2606.18625 What is 18.15711 millimeters in centimeters? 1.815711 What is twenty-two ninths of a hour in seconds? 8800 What is 516404.7 litres in millilitres? 516404700 How many micrometers are there in 25/4 of a centimeter? 62500 How many minutes are there in fourty-three thirds of a day? 20640 How many litres are there in 169642.9 millilitres? 169.6429 Convert 0.9079503ng to tonnes. 0.0000000000000009079503 How many seconds are there in 4/3 of a hour? 4800 What is fifteen quarters of a kilometer in meters? 3750 What is one ninth of a week in minutes? 1120 How many decades are there in 3/25 of a millennium? 12 What is 304306.17 hours in weeks? 1811.34625 What is 7/8 of a litre in millilitres? 875 What is fourty-five quarters of a litre in millilitres? 11250 Convert 5.415804ml to litres. 0.005415804 How many years are there in eighty-five quarters of a century? 2125 How many micrometers are there in 5/8 of a centimeter? 6250 How many kilograms are there in 2.457782 milligrams? 0.000002457782 How many milligrams are there in
{ "pile_set_name": "DM Mathematics" }
? (a) -1 (b) 5 (c) -2.4 (d) z d Let z(a) = -a**3 - 88*a**2 + 7*a + 620. Let l be z(-88). What is the fourth biggest value in 7, -4/3, 1/30, -1, l? -1 Let l = -76 - -80.09. Let q = l - 3.89. Which is the third smallest value? (a) -1 (b) 3 (c) q b Let r(l) = 50*l - 8. Let d be r(1). Let p be -4 - (d/7)/(-3). Suppose 0 = -2*u - 3*u + 10. Which is the third smallest value? (a) u (b) p (c) -7 a Let x = 203 + -188.4. Let j = 14.4 - x. Let d = -10 + 7. What is the third smallest value in -0.3, d, 0.3, j? j Let g be (170/136)/((-138)/24 + 7). Which is the third smallest value? (a) 0.4 (b) -4 (c) -8.59 (d) g a Suppose 5*j + 65 = 3*l, -2*l + 302 - 288 = 4*j. What is the second smallest value in l, -2/7, 2/269? 2/269 Let t = 52.25 - 52.05. Which is the smallest value? (a) -3 (b) t (c) -19 (d) -2/13 (e) -0.2 c Let u be (-232)/520 + (-14)/91. Let j be (3/(-10))/(30/(-25)). Which is the biggest value? (a) -11 (b) j (c) u (d) 1 d Suppose 157*x + 1203 = -53. Which is the biggest value? (a) 8/19 (b) x (c) -4 (d) -0.1 a Let n be ((-1)/4)/((-1)/(-2)). Let o be 21/(-1092)*-442 - (-2 + (-26)/(-2)). Let p = 0.7 + -1. What is the biggest value in n, o, 2, p? 2 Let l be 0 - (-1 - -1) - -10. Let m be ((-26)/(-6) - (-32)/48) + 2. Let t be 24/(-24)*1/m. Which is the third smallest value? (a) -0.1 (b) 5 (c) t (d) l b Let h = 7 - 7.01. Let i = -0.31 - h. Let s = 25 - 25.5. Which is the biggest value? (a) i (b) s (c) 1/3 c Let r = 6.984 - 7. Let l = r + -21.984. Let b = -21 - l. What is the second smallest value in 0.2, 17, b? b Let o = 0.0759 - 0.0759. Which is the fourth biggest value? (a) -0.2 (b) o (c) -3/8 (d) 6.5 c Let o = 5.8 - 5.412. Let s = o - 131.188. Let p = s - -131. What is the biggest value in 4, 0.04, 0, p? 4 Let i = -2892 - -2891.5. What is the third smallest value in -3, i, -5, 28? i Let s = 108/193 + -671/1544. What is the second biggest value in 53, 0.06, s, 2, -0.5? 2 Let z = -0.0253 + 5.0253. Let x be (-2*1)/8 + 119/68. Which is the third smallest value? (a) z (b) x (c) -3/14 a Suppose -5*t + 0*n = 5*n + 10, t - 5*n = 10. Let x = 16 - 7. Let q(d) = 2*d - 22. Let k be q(x). What is the smallest value in 1.4, t, k? k Let l = -15.308 + -12.68. Let f = -0.012 + l. Let m = f + 28. Which is the second smallest value? (a) m (b) -0.3 (c) 2 a Let p = 0.02344 - 4.02344. Which is the smallest value? (a) 10/3 (b) 44 (c) p c Suppose 0 = -4*x + 62 + 10. Suppose -2*z - 1 = -r, 4*z + x = 8*z + 2*r. Let w = -9621.5 + 9621.4. What is the second smallest value in z, -8, w? w Suppose 276 + 43 = 11*h. Let i = -4 - -13. Let m = i - 5. Which is the biggest value? (a) m (b) 1/4 (c) h c Let x = 6153 + -6152.94. What is the second biggest value in x, 0.3, 166? 0.3 Let o be 5/((-5)/4)*(-14)/(-420). What is the smallest value in 62, o, -2? -2 Let s = -1015.87 + -47.63. Let q = s + 1064. Let a(z) = -z**2. Let f be a(-2). What is the third biggest value in f, -41, q? -41 Let l = -13.4671 - 0.0329. Let y = l - -9.5. Which is the fourth biggest value? (a) -4/5 (b) 3 (c) 4 (d) y d Let g = -2202 + 2207. Which is the third biggest value? (a) -0.3 (b) g (c) -182 (d) 1/7 a Let r = -1.1523 + -9.8477. What is the second smallest value in 2/7, -1/3, 4, r? -1/3 Let g = 1709/42 + -286/7. Let d be (-46)/115*((-10)/44 + 0). Which is the biggest value? (a) 3 (b) g (c) d a Let c = 0.1082 + -11.2182. Let x = 11.2 + c. What is the smallest value in -3, 4, x? -3 Let q = -27 - -193/7. Let o = 12529 - 12527. Let j = 6 + -3. What is the second smallest value in q, o, -1, j? q Let c = 358 - 494. What is the biggest value in c, -1.9, 0.3? 0.3 Let u = -125.9 - -125.5. Let h = -17/12 - -3/4. What is the third smallest value in u, -8, h, 0.1? u Let l = 6 - 6.02. Let o = -399 + 399.01. Let f(t) = -5*t + 2. Let x be f(1). Which is the third biggest value? (a) o (b) x (c) l b Let o(k) = -241*k - 94. Let p be o(-1). What is the second smallest value in p, 2, 0.06, 0? 0.06 Let c = 1320.4 - 1320. Let v = -28.5 + 31. What is the fourth smallest value in c, v, 0, 1? v Let f = 0.078 - 0.262. Let n = f + 0.124. Which is the third biggest value? (a) 1/3 (b) 0 (c) n c Let i be (0/4)/2 + (2 - 8). Let x be (-105)/(-280)*4/i*1. Let f = 0.2 - 0. What is the biggest value in x, 5, 0.4, f? 5 Let h = -66.02 + 66. Let z = h - 0.85. Let i = z - -0.37. Which is the smallest value? (a) 0.3 (b) i (c) 1/6 b Let b = -0.146 + 82.146. Let v = 81 - b. Let w = 0.08 - -0.42. What is the second smallest value in -2/13, w, v? -2/13 Let f = 0.11 + 0.09. Let l = -11.1 - -10.943. Let i = 0.243 - l. What is the third biggest value in 3/13, i, f? f Let u = 2 - 6. Let a(n) be the first derivative of n**4/4 + n**3 - 3*n**2/2 + 8*n - 383. Let t be a(u). What is the third biggest value in -5/2, -1/6, t, 2/9? -1/6 Let s = 7.841 - 7.721. Which is the fourth biggest value? (a) 1 (b) 4/7 (c) -6 (d) -2/7 (e) s d Let h be (2/(-5))/(3/15). Let n = 167104.9 + -167105. Which is the fourth biggest value? (a) h (b) n (c) -3 (d) 4 c Let h = -13425.7834 + 13424. Let r = h - 0.1506. Let n = r - 0.066. Which is the third smallest value? (a) 2 (b) -18 (c) n a Let d = 29819 - 29819.04. What is the third smallest value in 2/5, d, -30/13, -2, 1/5? d Let n = 155.8 - 158.8. Let r = -22.93 + 23. What is the second smallest value in 1, r, n, -5? n Let l = 225 + -221.1. Let d = -13.9 + l. Which is the third biggest value? (a) 0.1 (b) 3 (c) d c Let q = 35.882394 - -0.064606. Let z = q + 0.053. Let p = -0.5 - -1. Which is the third smallest value? (a) p (b) z (c) 5/4 b Let f = 371.6 - 315. Let o = f + -52. Let k = o - 2.6. Which is the third smallest value? (a) -0.2 (b) -1 (c) k c Let j = 0.00016 - -0.99984. What is the fifth biggest value in 1/2, 0.2, -2/11, j, -5? -5 Suppose 0*p - 3*n = 4*p - 23, 5*n - 19 = 3*p. Let f = -61 + 42. Let q = f - -32. Which is the second smallest value? (a) 0.4 (b) q (c) p c Let d be (((-4)/2286)/1)/((-4)/(-3084)). Let h = d + 2/127. Which is the second smallest value? (a) 11 (b) h (c) 2 c Let r = 28.97 - 29.77. What is the second smallest value in -2/11, r, -1.9? r Let w = 14020 - 13954.07. Let q = -88 + 22. Let h = q + w. Which is the second smallest value? (a) h (b) -0.1 (c) 1 a Let l(j) = j**3 + 16*j**2 + 6*j - 132. Let n be l(-15). Which is the second smallest value? (a) -2/9 (b) 5 (c) 1/9 (d) n (e) 0.4 c Let h = 192 - 107. Let b = -85.7 + h. What is the second smallest value in b, 0.3, 0.04? 0.04 Let r = 7451 - 7452. What is the second biggest value in r, 4, -0.029? -0.029 Let b = -0.229 - 0.741. Let d = b + 0.07. Let n = 0.2945 - 0.4945. What is the smallest value in -3, d, n? -3 Let g = -1382 + 1367. What is the third smallest value in g, 3, -2/7? 3 Let k = -26081 + 26082. Which is the biggest value? (a) -513.8 (b) k (c) 0.3 b Suppose 3*w = 50*j - 49*j + 1, 4*w + 2*j - 28 = 0. Which is the biggest value? (a) -2/63 (b) w (c) 96 c Let p = 1222.676 - 1222.6. What is the smallest value in 14, 1/4, p, 4? p Let n = 1.977 + 0.023. Let u = -177/35 - -26/5. What is the smallest value in -0.02, u, n? -0.02 Let g = -380.2 + 375. Let j = g + 10.2. What is the biggest value in -0.076, 0.3, j? j Let j(a) = 5*a**2 - 2*a - 2. Let v = -275 + 274. Let h be j(v). Let b = 3.2 - 3. What is the third biggest value in h, 0.1, -2, b? 0.1 Let k = -15.6 - -16. Let p = 14 - 10. Let x be p/(-18) - (3/27 + -1). Which is the third smallest value? (a) x (b) k (c) 1/5 a Let y = 15 - 14.8. Let g = 3.31 - 154.31. Let f = g - -151.1. What is the smallest value in f, y, 5/6? f Let l(k) = 26*k + 36. Let h be l(4). Suppose 5*v + 23*v = h. Which is the second biggest value? (a) v (b) -2/21 (c) -3/7 b Let y = -568/7 + 81. Let g = 154084 - 154075. Which is the third biggest value? (a) y (b) 5 (c) g a Let g be (-168)/224 + 2/(56/51). Let n = -17/42 + g. Which is the third biggest value? (a) n (b) 179 (c) 0 c Let x = -4 - -5. Let j = 435.214 + -0.214. Let n = -435.2 + j. What is the third smallest value in n, -2/21, x, 0.08? 0.08 Let g be (-12)/(-10)*1100/66. Let f be 7 + (142/g)/(-1). What is the third smallest value in 0.2, -118, f? 0.2 Let t = -8358/5 + 33427/20. Which is the fifth smallest value? (a) -5 (b) -1/50 (c) t (d) -0.3 (e) 0.1 e Let s
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 e and 1 l? 28/57 What is prob of picking 1 j, 1 d, and 1 w when three letters picked without replacement from {d: 4, b: 1, g: 9, j: 4, w: 1}? 16/969 Four letters picked without replacement from {o: 3, s: 3, c: 9, n: 1, y: 1, t: 2}. Give prob of picking 1 o, 1 y, and 2 t. 1/1292 Calculate prob of picking 2 p when two letters picked without replacement from {r: 3, p: 9}. 6/11 Four letters picked without replacement from tmtmttmmmttctm. Give prob of picking 4 m. 15/1001 Calculate prob of picking 1 e, 1 z, and 1 o when three letters picked without replacement from {a: 1, z: 1, o: 1, k: 1, e: 1}. 1/10 What is prob of picking 2 g when two letters picked without replacement from {h: 3, g: 2, s: 5, w: 7}? 1/136 What is prob of picking 2 o when two letters picked without replacement from otototototottttottt? 7/57 Two letters picked without replacement from gggqinn. What is prob of picking 2 n? 1/21 Three letters picked without replacement from {o: 3, g: 9, h: 1, m: 6}. Give prob of picking 1 o, 1 m, and 1 h. 6/323 Three letters picked without replacement from {v: 5, g: 14}. What is prob of picking 1 v and 2 g? 455/969 Four letters picked without replacement from eeeeeeeeebeee. Give prob of picking 4 e. 9/13 Three letters picked without replacement from qqqqqqtqts. Give prob of picking 3 q. 7/24 Four letters picked without replacement from {i: 5, a: 3}. Give prob of picking 3 a and 1 i. 1/14 What is prob of picking 1 g and 2 q when three letters picked without replacement from dqgqwwwbvggwwwd? 3/455 Four letters picked without replacement from {a: 2, v: 1, g: 2, j: 6}. What is prob of picking 1 g and 3 j? 4/33 What is prob of picking 1 k and 2 l when three letters picked without replacement from {l: 11, k: 1}? 1/4 What is prob of picking 1 x, 1 u, and 1 t when three letters picked without replacement from {y: 3, x: 2, u: 3, t: 2, s: 5}? 12/455 Calculate prob of picking 4 g when four letters picked without replacement from ggvggvvggg. 1/6 Three letters picked without replacement from {e: 1, h: 4, c: 1, r: 2, u: 1}. What is prob of picking 1 u, 1 h, and 1 r? 2/21 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {k: 2, w: 1, q: 8, c: 1, z: 5, y: 3}. 3/190 Four letters picked without replacement from hhhhhhh. What is prob of picking 4 h? 1 What is prob of picking 4 z when four letters picked without replacement from woowzodwwwwwowozowo? 0 What is prob of picking 2 z and 1 u when three letters picked without replacement from iiilziuwuz? 1/60 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 4, k: 2, f: 4, d: 3, e: 1}. 12/91 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 6, t: 4}. 8/15 Two letters picked without replacement from {e: 4, y: 5, w: 8}. What is prob of picking 2 w? 7/34 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from frvrsju. 2/21 Calculate prob of picking 2 w when two letters picked without replacement from ooknkowwowwkkwow. 1/8 What is prob of picking 1 o and 1 k when two letters picked without replacement from oaakkka? 1/7 Two letters picked without replacement from {b: 9, w: 10}. Give prob of picking 2 b. 4/19 Two letters picked without replacement from xoxbxvbababxbqbxv. What is prob of picking 1 o and 1 v? 1/68 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from kjjrrrbjccrr. 1/22 Four letters picked without replacement from {c: 1, z: 9, u: 1}. Give prob of picking 3 z and 1 u. 14/55 Calculate prob of picking 2 m when two letters picked without replacement from {h: 2, m: 2, w: 4}. 1/28 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from zuuzel. 1/15 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, l: 1, f: 3, c: 1}. 1/21 Two letters picked without replacement from {q: 1, s: 5, k: 6, x: 1, e: 1}. What is prob of picking 1 x and 1 e? 1/91 What is prob of picking 1 k and 2 r when three letters picked without replacement from kruurruukkrrrrku? 3/20 What is prob of picking 4 p when four letters picked without replacement from pppdpdpppdpdppppppd? 1001/3876 Four letters picked without replacement from arhak. Give prob of picking 1 r, 2 a, and 1 h. 1/5 What is prob of picking 1 q, 1 l, 1 h, and 1 t when four letters picked without replacement from altvqhl? 2/35 What is prob of picking 1 u and 2 o when three letters picked without replacement from {u: 2, o: 4}? 3/5 What is prob of picking 1 f and 1 u when two letters picked without replacement from tkccfsu? 1/21 Two letters picked without replacement from gycygggyiggg. What is prob of picking 1 y and 1 i? 1/22 Calculate prob of picking 2 r when two letters picked without replacement from {d: 1, r: 7, o: 6}. 3/13 Two letters picked without replacement from {m: 17, u: 2}. Give prob of picking 1 u and 1 m. 34/171 Four letters picked without replacement from oxxxuxsduoxuxudu. What is prob of picking 1 d, 1 s, and 2 u? 1/91 Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, e: 3, t: 1}. 1/10 What is prob of picking 4 k when four letters picked without replacement from {e: 3, k: 4}? 1/35 What is prob of picking 1 f, 1 d, and 1 w when three letters picked without replacement from {f: 3, w: 6, p: 2, d: 4}? 72/455 Calculate prob of picking 1 e and 1 g when two letters picked without replacement from gdkdegedkddddddddd. 4/153 Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {o: 2, v: 1, h: 2}. 1/5 Calculate prob of picking 1 p, 1 m, and 1 g when three letters picked without replacement from ttmmtztmpgtmtgm. 2/91 Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, q: 6}. 35/286 Two letters picked without replacement from gujnujjjgujjggujggjg. Give prob of picking 2 j. 14/95 What is prob of picking 1 p, 1 m, and 1 l when three letters picked without replacement from mgmmpmlmmlglg? 9/143 Four letters picked without replacement from {m: 11, k: 3}. Give prob of picking 4 m. 30/91 Three letters picked without replacement from {w: 3, r: 2, s: 1, y: 4, d: 5, v: 5}. Give prob of picking 3 v. 1/114 Two letters picked without replacement from {g: 2, z: 2, j: 1, l: 1, b: 2, i: 1}. What is prob of picking 1 i and 1 b? 1/18 Calculate prob of picking 1 m, 1 u, 1 t, and 1 e when four letters picked without replacement from {v: 1, u: 1, w: 2, t: 1, m: 1, e: 1}. 1/35 What is prob of picking 1 i, 2 m, and 1 x when four letters picked without replacement from ixemiemeimmmmeme? 9/260 Three letters picked without replacement from {r: 1, i: 1, g: 2, f: 2, k: 6, w: 3}. Give prob of picking 1 g and 2 r. 0 What is prob of picking 2 s when two letters picked without replacement from {k: 1, n: 3, s: 5, c: 1}? 2/9 Two letters picked without replacement from kkcwtvj. What is prob of picking 1 c and 1 j? 1/21 What is prob of picking 3 a when three letters picked without replacement from aazia? 1/10 Three letters picked without replacement from {f: 2, g: 3, u: 1, l: 4, p: 3, o: 4}. Give prob of picking 1 p, 1 g, and 1 f. 9/340 Calculate prob of picking 1 y, 2 c, and 1 s when four letters picked without replacement from {y: 8, s: 3, c: 5}. 12/91 Calculate prob of picking 2 x when two letters picked without replacement from {x: 7, e: 1}. 3/4 Four letters picked without replacement from {d: 8, z: 3, b: 2, y: 2}. What is prob of picking 1 y and 3 z? 2/1365 What is prob of picking 4 x when four letters picked without replacement from xccexcexnexcx? 1/143 Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 1, c: 1, b: 1, k: 2}. 1/10 Calculate prob of picking 1 q, 1 y, and 1 g when three letters picked without replacement from {q: 3, b: 4, g: 1, y: 2}. 1/20 Three letters picked without replacement from nmonvoojmmonnmn. What is prob of picking 3 o? 4/455 What is prob of picking 1 q and 1 y when two letters picked without replacement from {n: 3, z: 2, y: 1, q: 1}? 1/21 Four letters picked without replacement from nrrqnrqxqqqrqnrqx. Give prob of picking 4 q. 1/68 Two letters picked without replacement from {g:
{ "pile_set_name": "DM Mathematics" }
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o. -4*o**2 + 2*o Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2. u**3 Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3. -50*y**3 Collect the terms in 118*i**3 + 1445 - 1445. 118*i**3 Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s. -2*s Collect the terms in -562*w**2 - 23*w**3 - 3*w**3 + 34*w**3 - 9*w**3 + 562*w**2. -w**3 Collect the terms in -6*k**2 + 6423*k**3 + 6*k**2. 6423*k**3 Collect the terms in 0*w**3 + 4*w - 32*w + 4*w**3 + 0*w**3 - 2*w**3. 2*w**3 - 28*w Collect the terms in -233*v + 154*v - 498*v. -577*v Collect the terms in -30*m + 15*m - 5*m**2 + 9*m + 13*m. -5*m**2 + 7*m Collect the terms in 142400*z**2 + 142255*z**2 - 284654*z**2. z**2 Collect the terms in -52*t + 22*t**3 + 68*t - 16*t. 22*t**3 Collect the terms in -71863*h - 71859*h - 71861*h - 71862*h + 287443*h. -2*h Collect the terms in -159*a - 397*a + 141*a - 136*a. -551*a Collect the terms in 94*l**2 + 259*l**2 - 4*l**2. 349*l**2 Collect the terms in 8*t - 7 - 1 - 10 + 18. 8*t Collect the terms in -23*k**2 + 6*k**2 - 111*k**2. -128*k**2 Collect the terms in -188*s + 165*s - 51 + 42 - 145. -23*s - 154 Collect the terms in -2*b + 0*b - 8 + 0*b + 9*b - 8*b. -b - 8 Collect the terms in 116875*b**3 - 233738*b**3 + 116879*b**3. 16*b**3 Collect the terms in 362 + 381 - 1465 + 358 + 364 + 6*s**2. 6*s**2 Collect the terms in 12*r**3 + 4266955*r - 4266955*r. 12*r**3 Collect the terms in -2 + 13*k - 3*k + 150*k**3 - 525*k**3. -375*k**3 + 10*k - 2 Collect the terms in 15*a - 7*a - 10*a - 5*a + 1 + 2*a. -5*a + 1 Collect the terms in 176*j + 2 - 61*j - 93*j. 22*j + 2 Collect the terms in -2*v**3 - 677 - 76*v + 76*v + 1351 - 674. -2*v**3 Collect the terms in 262*m**3 - 14*m**2 - 20*m**3 + 377*m**3 - 78*m**3. 541*m**3 - 14*m**2 Collect the terms in 1464*x - 6299*x + 2071*x - 11166*x. -13930*x Collect the terms in 14*c - 29*c - 1242*c**2 + 1248*c**2 + 15*c. 6*c**2 Collect the terms in 8*u**3 + 290*u**2 - 5*u**3 - 15*u**3 - 290*u**2. -12*u**3 Collect the terms in -1397*o**3 - 74*o**2 - 2923*o**3 + 75*o**2. -4320*o**3 + o**2 Collect the terms in -596*t**3 + 736*t**3 - 203*t**3. -63*t**3 Collect the terms in -1654*g**2 + 543*g**2 + 551*g**2 + 4 - 4 + 561*g**2. g**2 Collect the terms in -63 + 275*f**3 - 273*f**3 + 63. 2*f**3 Collect the terms in -j**2 + 1999 + 1275 - 3274. -j**2 Collect the terms in 4 + 4*c**2 + 10 + 4*c**2 - c**2. 7*c**2 + 14 Collect the terms in 49985*q - 24897*q - 24878*q. 210*q Collect the terms in 99*a - 47*a - 467*a**2 - 52*a. -467*a**2 Collect the terms in t**2 - 5*t**2 - 11*t**3 + 33*t**3 - 6*t. 22*t**3 - 4*t**2 - 6*t Collect the terms in -197*a**2 + 96*a**2 + 102*a**2. a**2 Collect the terms in -270*s**2 + 268*s**2 + 9 - 46*s**3 - 9. -46*s**3 - 2*s**2 Collect the terms in 4*i**2 - 144*i - 3*i**2 + 55*i - 773*i. i**2 - 862*i Collect the terms in 1110*r**3 + 1106*r**3 - 2210*r**3. 6*r**3 Collect the terms in 295*p**2 - 62*p**2 - 62*p**2 - 112*p**2 - 60*p**2. -p**2 Collect the terms in 11*d + 10*d**2 + 51*d**3 - 11*d**2 + d**2. 51*d**3 + 11*d Collect the terms in -95 + 4*j + j + j - j. 5*j - 95 Collect the terms in 1335*w - 306*w + 818*w - 1. 1847*w - 1 Collect the terms in -43*v**2 - 2780 + 5560 - 2780. -43*v**2 Collect the terms in -50*u**2 + 9 + 12 + 46*u**2. -4*u**2 + 21 Collect the terms in 2492*s**3 - 2*s**2 + 1698*s**3 + 2*s**2. 4190*s**3 Collect the terms in -4009*d**2 - 1 + 3968*d**2 - 5. -41*d**2 - 6 Collect the terms in -1374*a**3 + 4104*a**3 - 1361*a**3 - 1367*a**3 - 4 + 4. 2*a**3 Collect the terms in 130*h**3 + 0*h + 0*h - 11 - 111*h**3. 19*h**3 - 11 Collect the terms in -2043*o**3 + 0*o - o + o + 4. -2043*o**3 + 4 Collect the terms in 23*s**2 - 10*s**2 - 51*s**2 + 34*s**2. -4*s**2 Collect the terms in 488*q**2 + 491*q**2 - 4 + 490*q**2 - 1460*q**2. 9*q**2 - 4 Collect the terms in 50*b**3 - 40*b**3 + 39*b - 3*b**3 - 9*b**3. -2*b**3 + 39*b Collect the terms in -383*x + 543*x - 156*x. 4*x Collect the terms in -4*x**2 + 14*x**2 - 3*x + 5 + 8*x**2 + 2*x**2. 20*x**2 - 3*x + 5 Collect the terms in 26919 + 2*t**2 - 13435 - 13484. 2*t**2 Collect the terms in 79*a + 78*a + 77*a - 405*a + 78*a + 89*a. -4*a Collect the terms in 306*m + 468*m - 88*m. 686*m Collect the terms in -3413 + 3413 + 3*h. 3*h Collect the terms in -k**3 + 495455370*k - 2*k**2 - 495455370*k. -k**3 - 2*k**2 Collect the terms in -31*r + 6*r**3 + 94*r - 63*r. 6*r**3 Collect the terms in -66*y - 1322*y**3 + 40*y + 26*y. -1322*y**3 Collect the terms in -943*y**2 + 34308 - 34308. -943*y**2 Collect the terms in -401*x**2 - 30*x**2 - 227*x**2 - 26*x**2. -684*x**2 Collect the terms in 11*o**3 + 710546*o**2 - 710546*o**2. 11*o**3 Collect the terms in 0 - 241*q**2 - 34*q + 35*q + 0 - q**3. -q**3 - 241*q**2 + q Collect the terms in -6*m**2 + 0*m**3 + 2*m**3 - 76*m**2 - 86*m**2. 2*m**3 - 168*m**2 Collect the terms in 32894*f - 32894*f + 3*f**2. 3*f**2 Collect the terms in 124*s + 55*s + 179*s + 2 + 264*s. 622*s + 2 Collect the terms in -95*b + 228*b + 185*b. 318*b Collect the terms in -400*p**2 + 623 - 623. -400*p**2 Collect the terms in -4105*a**2 + 8706*a**2 - 4598*a**2. 3*a**2 Collect the terms in 5*g**2 - 1 + 1 - 4*g**2 + 10*g**2. 11*g**2 Collect the terms in 4415*d + 4418*d - 8835*d. -2*d Collect the terms in -q**2 + 24229*q - 24229*q. -q**2 Collect the terms in -2*c + 474*c**3 - 2352*c**3 + 3*c - c. -1878*c**3 Collect the terms in -191 - 3*t**3 - 5*t**2 + t**3 - 2*t**2 + t**2. -2*t**3 - 6*t**2 - 191 Collect the terms in 0 + 0 - 89*l**2 - 7 + 5. -89*l**2 - 2 Collect the terms in -18*x**3 + 231*x + 15*x**3 + 35*x. -3*x**3 + 266*x Collect the terms in -2*u**2 - 855010*u + 855010*u. -2*u**2 Collect the terms in -103534*v - 7 + 103737*v + 7. 203*v Collect the terms in 318*d - 1585*d + 317*d + 311*d + 313*d + 325*d. -d Collect the terms in 9*a + 23*a**3 - 5*a - 14*a - 2*a**2 - 28*a. 23*a**3 - 2*a**2 - 38*a Collect the terms in 3*p**2 - 2*p**2 + 34*p + 33*p**3 - p**2 - 31*p. 33*p**3 + 3*p Collect the terms in -143*c + 50*c + 21*c + 45*c + 8*c**3. 8*c**3 - 27*c Collect the terms in -3*n - 139 + 4*n + 0*n + 1006. n + 867 Collect the terms in 151*m**2 + 3*m - 3*m - 315*m**2 + 153*m**2. -11*m**2 Collect the terms in -705*l**2 + 3*l**3 + 1423*l**2 - 718*l**2. 3*l**3 Collect the terms in 5*r**3 - 11*r**3 + 8*r**3 - r**3 + 2*r**3. 3*r**3 Collect the terms in 56 - 138 + 20 + 27 - 2*x**3 + 35. -2*x**3 Collect the terms in -56*n**3 - 26*n**3 - 10*n**3. -92*n**3 Collect the terms in -49467095*g**2 + 1 + 49467217*g**2 - 1. 122*g**2 Collect the terms in 23*a - 38 + 18 - 46*a + 20 + 19*a. -4*a Collect the terms in 0*y**2 + 4*y + 9*y**2 - 7*y**2 - 7*y**2 - y**2. -6*y**2 + 4*y Collect the terms in 21 - 12*v - 13*v - 14*v + 17 + 49*v. 10*v + 38 Collect the terms in -37*x**3 + 30*x**3 - 136*x**3 - 210*x**3. -353*x**3 Collect the terms in -607 - 11 - 4*x + 202 - 302. -4*x - 718 Collect the terms in -5411*q + 5411*q - 9*q**2 - 12*q**2 + 10*q**2 - 12*q**2. -23*q**2 Collect the terms in -43*v**2 + 30*v**2 + 57*v**2 + 189*v**2. 233*v**2 Collect the terms in -11*t**3 + 25*t**3 - 8*t**3 - 11*t**3 - 7*t**3 + 11*t**3. -t**3 Collect the terms in 885*w**3 - 24 + 852*w**3 - 1736*w**3. w**3 - 24 Collect the terms in -48*p**3 + 8119*p**3 - 208*p**3. 7863*p**3 Collect the terms in -11 + 11 + 121883*r. 121883*r Collect the terms in -z**2 + 28*z**3 - 35*z**3 - 405 + 405. -7*z**3 - z**2 Collect the terms in 289*x**3 + 933*x**3 + 502*x**3. 1724*x**3 Collect the terms in 341*r**3 - 198*r**3 - 136*r**3. 7*r**3 Collect the terms in 29*f**3 - 19860 + 19860. 29*f**3 Collect the terms in -1367 + 2*t + 513 + 846. 2*t - 8 Collect the terms in 10*w + 11*w + 12*w - 2*w - 36*w. -5*w Collect the terms in 235554 + 5*w - 9*w - 235554. -4*w Collect the terms in 210*z**2 - 49*z - 54*z - 52*z + 155*z. 210*z**2 Collect the terms in -247*v - 295*v - 84*v - 174*v - 1 + 177*v. -623*v - 1 Collect the terms in -30 - 38 + 4*q - 97. 4*q - 165 Collect the terms in 1490*k - 4467*k + 1485*k + 1486*k. -6*k Collect the terms in -36*l**3 + 59701*l - 59701*l. -36*l**3 Collect the terms in 52*q + 44*q + 55*q - 94*q. 57*q Collect the terms in -q**3 + 4*q**3 + 2*q**3 + 4*q**3. 9*q**3 Collect the terms in 6*h**3 + 268*h - 2*h**3 - 813*h + 269*h + 276*h. 4*h**3 Collect the terms in h**3 - 61*
{ "pile_set_name": "DM Mathematics" }
472. (s - 92)*(s - 4)**2 Factor 4*n**4 + 236*n**3 + 232*n**2. 4*n**2*(n + 1)*(n + 58) Factor 10*v**2 + 154*v/3 + 20/3. 2*(v + 5)*(15*v + 2)/3 Factor -s**5 + 12*s**4 + 43*s**3 + 30*s**2. -s**2*(s - 15)*(s + 1)*(s + 2) Let 5*b**3 - 45*b**2 + 70*b = 0. Calculate b. 0, 2, 7 Solve -4*t**3/5 - 12*t**2 - 152*t/5 - 96/5 = 0. -12, -2, -1 Find d such that -2*d**4/7 - 162*d**3/7 + 72*d**2 = 0. -84, 0, 3 Suppose 8*b**2 - 10*b/3 + 2/9 = 0. What is b? 1/12, 1/3 Solve l**5/9 + 4*l**4/9 - 16*l**2/9 - 16*l/9 = 0 for l. -2, 0, 2 Determine g so that 2*g**5/9 + 10*g**4/9 + 2*g**3 + 14*g**2/9 + 4*g/9 = 0. -2, -1, 0 Factor -2*d**2 + 1456*d - 264992. -2*(d - 364)**2 Suppose -3*h**4 - 363*h**3 - 336*h**2 + 2916*h + 4320 = 0. What is h? -120, -2, 3 Solve -3*m**2/2 - 63*m/2 - 81 = 0. -18, -3 Solve 2*o**4/7 - 4*o**2/7 + 2/7 = 0 for o. -1, 1 Factor t**4/7 - 4*t**3/7 - 18*t**2/7 - 20*t/7 - 1. (t - 7)*(t + 1)**3/7 Suppose 5*d**4 + 10*d**3 - 215*d**2 + 260*d + 480 = 0. What is d? -8, -1, 3, 4 Suppose 2*a**5 + 18*a**4 - 50*a**3 - 58*a**2 + 96*a + 88 = 0. Calculate a. -11, -1, 2 Determine i so that 45*i**2/2 - 425*i/2 - 125 = 0. -5/9, 10 Factor 5*h**4 + 30*h**3 - 15*h**2 - 100*h - 60. 5*(h - 2)*(h + 1)**2*(h + 6) Determine w so that -3*w**5 - 78*w**4 - 303*w**3 + 2148*w**2 - 3060*w + 1296 = 0. -18, -12, 1, 2 Find l, given that -2*l**4/3 + 34*l**3/3 - 10*l**2 - 34*l/3 + 32/3 = 0. -1, 1, 16 Let -x**4 + 39*x**3 + 40*x**2 = 0. Calculate x. -1, 0, 40 Factor -m**4/6 + 4*m**3/3 + 19*m**2/6 + 5*m/3. -m*(m - 10)*(m + 1)**2/6 Let -3*m**3 + 831*m**2 + 834*m = 0. What is m? -1, 0, 278 Find g such that -5*g**3 - 400*g**2 - 9360*g - 51840 = 0. -36, -8 Factor 3*f**3 + 9*f**2 + 6*f. 3*f*(f + 1)*(f + 2) Let x**5/5 + 13*x**4/5 + 16*x**3/5 - 188*x**2/5 + 64*x/5 + 256/5 = 0. What is x? -8, -1, 2 Factor 4*q**3/7 - 6*q**2 + 18*q/7 + 20/7. 2*(q - 10)*(q - 1)*(2*q + 1)/7 Factor 2*o**2 - 46*o + 264. 2*(o - 12)*(o - 11) Determine m so that 4*m**4 + 98*m**3 + 228*m**2 + 178*m + 44 = 0. -22, -1, -1/2 Factor -c**5 - 122*c**4 - 3340*c**3 + 23048*c**2 - 48128*c + 32768. -(c - 2)**3*(c + 64)**2 Find i such that -5*i**2 - 275*i + 1180 = 0. -59, 4 Solve -2*w**5/7 - 1392*w**4/7 + 1396*w**3/7 + 1392*w**2/7 - 1394*w/7 = 0. -697, -1, 0, 1 Suppose u**5/3 + u**4/3 - u**3/3 - u**2/3 = 0. What is u? -1, 0, 1 Factor -25*g**4 + 3260*g**3 - 106925*g**2 + 42250*g. -5*g*(g - 65)**2*(5*g - 2) Solve m**5/7 - 9*m**4/7 + m**3 + 9*m**2/7 - 8*m/7 = 0. -1, 0, 1, 8 Let -4*z**4 + 8*z**3 + 44*z**2 - 48*z = 0. What is z? -3, 0, 1, 4 Determine g, given that -4*g**4/3 + 148*g**3/3 = 0. 0, 37 Solve g**3/5 + 66*g**2 = 0. -330, 0 What is m in m**4/3 - 2*m**3/3 - m**2 = 0? -1, 0, 3 What is v in -v**5 - 30*v**4 - 28*v**3 + 30*v**2 + 29*v = 0? -29, -1, 0, 1 Factor -6*m**3 - 639*m**2 - 1566*m - 624. -3*(m + 2)*(m + 104)*(2*m + 1) Solve 2*x**5 + 24*x**4 + 38*x**3 - 24*x**2 - 40*x = 0. -10, -2, -1, 0, 1 Solve -2*j**2/7 - 78*j/7 - 148/7 = 0 for j. -37, -2 Determine x so that -6*x**5/17 + 548*x**4/17 - 12314*x**3/17 - 9756*x**2/17 + 29992*x/17 - 8464/17 = 0. -2, 1/3, 1, 46 Factor 3*w**2 + 27*w + 24. 3*(w + 1)*(w + 8) Solve -2*t**4/15 + 34*t**3/15 - 62*t**2/15 + 2*t = 0 for t. 0, 1, 15 Let b**5 - 10*b**4 + 33*b**3 - 40*b**2 + 16*b = 0. Calculate b. 0, 1, 4 Find z, given that -4*z**3 + 100*z**2 + 484*z - 580 = 0. -5, 1, 29 Suppose 2*w**4 - 138*w**3 + 1078*w**2 + 138*w - 1080 = 0. Calculate w. -1, 1, 9, 60 Let 5*l**3/4 - 75*l**2/4 - 185*l - 165 = 0. What is l? -6, -1, 22 Determine m, given that -3*m**2 + 3 = 0. -1, 1 Factor -s**3/3 - 23*s**2/3 - 22*s/3. -s*(s + 1)*(s + 22)/3 Factor 5*u**3/2 - 815*u**2/2 + 1615*u/2 - 805/2. 5*(u - 161)*(u - 1)**2/2 Suppose 2*h**5 - 28*h**4 + 144*h**3 - 324*h**2 + 270*h = 0. What is h? 0, 3, 5 Solve 2*i**3 - 12*i**2 + 10*i + 24 = 0 for i. -1, 3, 4 Find o such that -5*o**5/2 - 43*o**4/6 + 7*o**3/2 + 43*o**2/6 - o = 0. -3, -1, 0, 2/15, 1 Factor -g**2/7 - 18*g/7 - 32/7. -(g + 2)*(g + 16)/7 Factor p**4/4 + 3*p**3 - 3*p**2/4 - 19*p/2 - 6. (p - 2)*(p + 1)**2*(p + 12)/4 Factor -2*w**2/5 + 108*w/5 + 592. -2*(w - 74)*(w + 20)/5 Factor 2*z**3 - 138*z**2 - 140*z. 2*z*(z - 70)*(z + 1) Determine i so that -2*i**4/15 + 16*i**3/3 - 160*i**2/3 = 0. 0, 20 Let 9*g**5/8 - 15*g**4 + 42*g**3 - 189*g**2/4 + 183*g/8 - 15/4 = 0. Calculate g. 1/3, 1, 10 Factor 2*n**3 + 114*n**2 - 8*n - 456. 2*(n - 2)*(n + 2)*(n + 57) Factor -w**2 - 371*w - 1104. -(w + 3)*(w + 368) Let -4*z**2/7 + 72*z/7 - 128/7 = 0. What is z? 2, 16 Find b such that 147*b**2 + 66864*b + 7603392 = 0. -1592/7 Find w such that w**2/2 - 53*w/6 - 3 = 0. -1/3, 18 Factor 2*w**5 - 10*w**4 - 16*w**3 + 24*w**2. 2*w**2*(w - 6)*(w - 1)*(w + 2) Factor -4*u**2 + 100*u - 96. -4*(u - 24)*(u - 1) Suppose 2*d**5/3 + 20*d**4/3 + 24*d**3 + 116*d**2/3 + 86*d/3 + 8 = 0. Calculate d. -4, -3, -1 Factor j**2 - j - 72. (j - 9)*(j + 8) Let -5*b**4/2 - 270*b**3 - 1065*b**2/2 - 265*b = 0. What is b? -106, -1, 0 Solve -c**2 + 9594*c - 23011209 = 0 for c. 4797 Factor -m**2/4 + 929*m/4 + 931/2. -(m - 931)*(m + 2)/4 Determine u so that 6*u**5/19 + 1642*u**4/19 + 113688*u**3/19 + 182776*u**2/19 - 150144*u/19 - 147968/19 = 0. -136, -2, -2/3, 1 Factor 2*x**3/7 + 10*x**2/7 - 64*x/7 + 72/7. 2*(x - 2)**2*(x + 9)/7 Solve -2*s**3 - 200*s**2 + 2158*s - 4620 = 0. -110, 3, 7 Factor -d**3/2 - 9*d**2/2 + 54. -(d - 3)*(d + 6)**2/2 Let -2*q**2/3 + 11*q/3 - 5 = 0. What is q? 5/2, 3 Factor 5*l**4 + 5*l**3 - 165*l**2 + 315*l. 5*l*(l - 3)**2*(l + 7) Factor -18*v**2 + 326*v + 1092. -2*(v - 21)*(9*v + 26) Factor s**2 - 516*s + 66564. (s - 258)**2 Solve 3*x**2/2 - 54*x + 192 = 0. 4, 32 Factor 2*m**4/23 + 8*m**3/23 - 6*m**2/23 - 36*m/23. 2*m*(m - 2)*(m + 3)**2/23 Factor 5*w**4 + 370*w**3 - 2355*w**2 + 3580*w - 1600. 5*(w - 4)*(w - 1)**2*(w + 80) Factor f**2 - 66*f + 128. (f - 64)*(f - 2) Factor h**2/9 + 184*h/9 + 61/3. (h + 1)*(h + 183)/9 Solve -g**4 - 14*g**3 - 72*g**2 - 162*g - 135 = 0. -5, -3 Solve -1008*w**5 + 2496*w**4 + 4148*w**3 - 8484*w**2 + 2440*w - 192 = 0. -2, 1/6, 8/7, 3 Factor 3*t**2/8 + 3*t - 15/2. 3*(t - 2)*(t + 10)/8 Factor 21*v**2 - 132*v + 36. 3*(v - 6)*(7*v - 2) Factor m**5/6 + m**4/2 - 5*m**3/6 - m**2/2 + 2*m/3. m*(m - 1)**2*(m + 1)*(m + 4)/6 Factor -q**4/4 - 29*q**3/4 - 297*q**2/4 - 1215*q/4 - 729/2. -(q + 2)*(q + 9)**3/4 Find z, given that 5*z**4 + 1010*z**3 - 2035*z**2 + 1020*z = 0. -204, 0, 1 Factor 5*g**5 - 25*g**4 + 45*g**3 - 35*g**2 + 10*g. 5*g*(g - 2)*(g - 1)**3 Factor v**2/2 - 77*v/2. v*(v - 77)/2 Solve -2*f**5/9 + 36*f**4 - 13756*f**3/9 + 51512*f**2/9 - 21014*f/3 + 24964/9 = 0 for f. 1, 2, 79 Determine s so that 3*s**3 + 18*s**2 - 27*s - 42 = 0. -7, -1, 2 Find x, given that -x**5 + 113*x**4 - 333*x**3 + 331*x**2 - 110*x = 0. 0, 1, 110 Factor u**3/3 + 4*u**2/3 - 16*u/3 - 64/3. (u - 4)*(u + 4)**2/3 Factor -2*r**3/3 - 30*r**2 - 88*r/3. -2*r*(r + 1)*(r + 44)/3 Factor -6*p**3/11 - 330*p**2 + 3636*p/11. -6*p*(p - 1)*(p + 606)/11 Find u such that -2*u**4/21 + 2*u**3/7 + 8*u**2/21 - 8*u/7 = 0. -2, 0, 2, 3 Factor -3*v**3/4 + 6*v**2 - 15*v/4 - 21/2. -3*(v - 7)*(v - 2)*(v + 1)/4 Solve n**2/3 - 7*n/3 - 8/3 = 0. -1, 8 Find k, given that -4*k**5 - 4*k**4 + 48*k**3 + 112*k**2 + 64*k = 0. -2, -1, 0, 4 Factor -2*x**2 - 60*x + 128. -2*(x - 2)*(x + 32) Factor 2*h**2/3 + 8*h/3 + 8/3. 2*(h + 2)**2/3 Factor -p**4/3 + 2*p**3 + 39*p**2 + 90*p. -p*(p - 15)*(p + 3)*(p + 6)/3 What is b in b**2 + 822*b + 168921 = 0? -411 Factor -2*j**2/7 - 200*j/7 - 582/7. -2*(j + 3)*(j + 97)/7 Suppose 15*p**4 + 190*p**3 + 840*p**2 + 1440*p + 640 = 0. Calculate p. -4, -2/3 What is n in -2*n**2/7 - 2*n/7 + 12/7 = 0? -3, 2 Let 5*q**2 + 1890*q + 3760 = 0. Calculate q. -376, -2 Determine v so that -v**5/4 + 39*v**4/4 - 355*v**3/4 - 603*v**2/4 + 530*v - 300 = 0. -3, 1, 20 Determine d, given that 60*d**4 - 427*d**3 + 407*d**2 - 28*d - 12 = 0. -2/15, 1/4, 1, 6 Determine g so that 4*g**5/7 + 256*g**4/7 + 36*g**3 = 0. -63, -1, 0 Determine y, given that y**3/7 - 18*y**2/7 - 88*y/7 = 0. -4, 0, 22 Suppose 4*v**2/9 - 152*v/9 = 0. What is v? 0, 38 Solve 3*o**2 + 438*o + 435 = 0. -145, -1 Factor -5*g**5 + 80*g**3 - 190*g**2 + 165*g - 50. -5*(g - 2)*(g - 1)**3*(g + 5) Find b such that b**5/2 - 27*b**4 + 195*b**3/2 + 125*b**2 = 0. -1, 0, 5, 50 Factor -2*w**2/11 + 1466*w/11 + 2940/11. -2*(w - 735)*(w + 2)/11 Suppose -f**2/6 + 1445*f/3 + 2891/6 = 0. What is
{ "pile_set_name": "DM Mathematics" }
2*u**2 + 3*l**2 - 9*l + 2*u**2 - u wrt l. -24*l**2*u**2 - 2*u**2 + 6 What is the third derivative of -1832*b**2*o**3 - 16*b**2*o**2 + 2*o**2 + 2 wrt o? -10992*b**2 What is the third derivative of s**3*y**4 + 2*s**3*y**2 + s**2*y**2 + 133*s**2 - 163*y**4 wrt y? 24*s**3*y - 3912*y What is the second derivative of 2388*g**3 + g**2 - 8877*g wrt g? 14328*g + 2 What is the third derivative of -12*q**2*t**3*u**2 + 25*q**2*t**3 + q**2*t**2*u**2 + 24*q**2*t**2*u - 2*q**2*u wrt t? -72*q**2*u**2 + 150*q**2 What is the second derivative of -53*q**3 - 21*q**2 + 2902*q? -318*q - 42 Find the third derivative of 9295*i**3*w - 5*i**2*w - 8*i*w - 6*w + 2 wrt i. 55770*w Differentiate -374*s + 370. -374 What is the third derivative of -2*v**4 - 1382*v**3 + 1630*v**2? -48*v - 8292 Differentiate -138*t - 339 wrt t. -138 What is the second derivative of 13*p**3 - 4*p**2 - 233*p? 78*p - 8 What is the second derivative of -901*a**4 - 2*a - 209? -10812*a**2 Find the first derivative of -99*u - 18 wrt u. -99 Find the second derivative of 304*j**4*t + j**3 + j**2*t + j*t + 5984*j - 1 wrt j. 3648*j**2*t + 6*j + 2*t Find the second derivative of -35*z**5 - 2456*z. -700*z**3 Find the second derivative of -173*g**2*x**3 + 2*g*x + 14*x**3 wrt g. -346*x**3 Find the second derivative of -l**5*x + 442*l**4*x + 592*l*x - 3*l wrt l. -20*l**3*x + 5304*l**2*x What is the first derivative of -235*d**3 - 178 wrt d? -705*d**2 Find the second derivative of o**5 + 240*o**3 - 8*o**2 - o - 3179 wrt o. 20*o**3 + 1440*o - 16 What is the second derivative of 42*c**4*n**2 + 2*c**2*n**3 + 2*c*n**3 + 2*c*n**2 + 20*c*n wrt c? 504*c**2*n**2 + 4*n**3 What is the third derivative of 106*c**4*p - 17*c**3*p + 2*c**2*p + 12*c**2 - 5*c wrt c? 2544*c*p - 102*p Find the third derivative of -5171*j**6 + 2*j**2 - j + 22 wrt j. -620520*j**3 What is the third derivative of 2*k**3*n*q**2*s + 4*k**3*n*q - 7*k**3*q**2 + k**2*n + k*n*q**2 + 30*k*n*s - k*s wrt k? 12*n*q**2*s + 24*n*q - 42*q**2 Find the third derivative of 36*o**4 - 11*o**3 - o**2 + 419*o wrt o. 864*o - 66 What is the derivative of -1874*g + 1087? -1874 What is the third derivative of -6*w**3*y**4 - 3*w**3 + 14*w**2*y**4 + 45*y**2 wrt y? -144*w**3*y + 336*w**2*y Find the second derivative of -64*b**2*f**3 + b*f**3 + 4*b*f + 5*f**3 + 48*f wrt b. -128*f**3 Differentiate k*l*r**2*v + 3*k*l*v + 3*k*r*v - 2*k - 371*l - 160*r**2 with respect to r. 2*k*l*r*v + 3*k*v - 320*r Find the first derivative of -10*f*p + 78*f - 225*p + 56 wrt p. -10*f - 225 What is the second derivative of p*s*u + 2*p*u**3 - p*u + 31*p - 2*s*u**3 - 3*s*u - 108*u**4 wrt u? 12*p*u - 12*s*u - 1296*u**2 Find the third derivative of c*s**5 + 105*c*s + 53*s**6 - 5*s**2 wrt s. 60*c*s**2 + 6360*s**3 Find the first derivative of -2*h**2 + 149*h - 309 wrt h. -4*h + 149 What is the derivative of -3613*z**2 - 35 wrt z? -7226*z Find the second derivative of -26*c*x**2*z - 6*c*x*z**3 - 2*c*x*z**2 + 11*x**2*z**3 - 20*x*z - 3*z wrt x. -52*c*z + 22*z**3 What is the third derivative of -37*q**4 + q**3 - 3*q**2 - 76? -888*q + 6 Differentiate -31*b**3*y - 328*b**3 - 7*b**2*y**2 wrt y. -31*b**3 - 14*b**2*y Find the third derivative of 24*d**3*u**3 - d**3*u**2 - 6*d**2*u**3 + 226*d*u**2 wrt u. 144*d**3 - 36*d**2 Find the third derivative of -2*u**4 + 783*u**3 + 2*u**2 + 2*u + 115. -48*u + 4698 Find the third derivative of 19540*t**5 + 41*t**2 - 78*t wrt t. 1172400*t**2 Find the third derivative of 17*p**6 - p**4 + 146*p**2 wrt p. 2040*p**3 - 24*p Find the third derivative of 3*d**3*k**3*r**2 + 3*d**3*k**3*r - d**3*k**2*r + d**3*k*r**2 - 18*d**3*k wrt k. 18*d**3*r**2 + 18*d**3*r Find the second derivative of -3*g**4 + 491*g**3 - g**2 - 2495*g wrt g. -36*g**2 + 2946*g - 2 Find the third derivative of 5140*k**5 - 4220*k**2 + 1. 308400*k**2 Find the third derivative of 6*m**5 - 2*m**3 - 313*m**2. 360*m**2 - 12 What is the derivative of 5064*h - 1721? 5064 What is the second derivative of 5*a*h**2 + a - 822*h**2 - 668*h wrt h? 10*a - 1644 What is the second derivative of -61*b**2*o**2 - 2*b**2 - 5*b*o**2 + 6*b*o - 2*o**2 wrt b? -122*o**2 - 4 What is the second derivative of -2*f**2*h*n**2*z + 10*f**2*h*z - 14*f**2*n*z - 4*f*n**2*z + 5*f*n**2 - 4*h*n**2*z - 2*h*z wrt f? -4*h*n**2*z + 20*h*z - 28*n*z What is the first derivative of -42*u**2 - u - 603 wrt u? -84*u - 1 What is the first derivative of 873*h**2 + 269? 1746*h Differentiate 15*n**4 - 12*n**3 - 31 wrt n. 60*n**3 - 36*n**2 What is the third derivative of -222*m**3*y - 3*m**2*y - m**2 + 11*y wrt m? -1332*y What is the third derivative of 4249*w**6 + 12272*w**2? 509880*w**3 Find the first derivative of 3517*k**2*s**3 + k**2*s**2 + 3*s**3 + 929*s wrt k. 7034*k*s**3 + 2*k*s**2 Find the second derivative of 298*m**5 - m - 149. 5960*m**3 Find the second derivative of -9100*h**2 + 5112*h. -18200 What is the derivative of -8*h*w**2*x + 2*h*w**2 + 269*h*w*x**2 + h*x + 283 wrt x? -8*h*w**2 + 538*h*w*x + h What is the second derivative of -259*r**2 - r + 182? -518 Find the third derivative of 422*o**4 - 9*o**2 - 3 wrt o. 10128*o What is the third derivative of 2*h*r**3*w**3 - 2*h*r**3*w**2 - 66*h*r**2*w**3 - 9057*h*r*w**2 + 21*h*w**3 + w wrt w? 12*h*r**3 - 396*h*r**2 + 126*h Find the second derivative of 3*i**5 + 56*i**4 + 9*i**3 + 867*i - 4 wrt i. 60*i**3 + 672*i**2 + 54*i Find the third derivative of b**3*v**2 - 1262*b**3 - 2*b**2*v**2 - 1859*b**2*v wrt b. 6*v**2 - 7572 Find the second derivative of -11*d**3*y + 4*d**2*y - 1099*d*y wrt d. -66*d*y + 8*y Find the second derivative of 15*o**2*y**5 + 212*o**2 + 9*o*y**5 - 2*o - 2*y wrt y. 300*o**2*y**3 + 180*o*y**3 Find the second derivative of 7*j**2*s*x**2 - 3*j**2*x**2 + j**2*x + 2*j**2 + 249*j*s*x - 16*x**2 wrt x. 14*j**2*s - 6*j**2 - 32 Find the first derivative of 1601*r*v**2 + 650*v**2 wrt r. 1601*v**2 What is the derivative of 760*n - 824 wrt n? 760 Differentiate -50*s**3 - 3*s**2 + 1728 wrt s. -150*s**2 - 6*s What is the second derivative of 2119*i**2 + 672*i? 4238 Find the second derivative of -n**2*t**2*z + 4*n**2*t*z + 17*n**2*z**3 + 2*n*t**3*z**4 - 2*n*t**3*z - 4*n*t*z wrt z. 102*n**2*z + 24*n*t**3*z**2 What is the third derivative of 5142*n**3 - 8950*n**2 wrt n? 30852 Find the second derivative of -h**3 - 251*h**2 - 2*h - 266 wrt h. -6*h - 502 Find the second derivative of -230*s**3 - 2*s - 60. -1380*s Find the second derivative of -98*c**5 - 4*c**2 - 1472*c. -1960*c**3 - 8 Find the third derivative of 14*n**6 + 16*n**3 - 8*n**2 - 3 wrt n. 1680*n**3 + 96 Find the third derivative of -32*h**3*r**6 + 2*h**3*r**3 + 8*h**3*r + 10*r**2 wrt r. -3840*h**3*r**3 + 12*h**3 Find the first derivative of 4*k**3 + 7*k**2*n + 3*k - 119*n wrt k. 12*k**2 + 14*k*n + 3 What is the second derivative of 2227*s**3 + s**2 + 2735*s wrt s? 13362*s + 2 What is the second derivative of -2*n**3*s**2 + 7*n**3*s - 6*n**3 - 152*n**2*s**3 + 2*n**2*s**2 - 2 wrt s? -4*n**3 - 912*n**2*s + 4*n**2 Find the third derivative of -1126*w**5 - 396*w**2. -67560*w**2 Find the third derivative of -4197*g**5*j - g**3*j**3 + 11*g**2*j**2 - 16*j**3 wrt g. -251820*g**2*j - 6*j**3 Find the second derivative of -40*o**3*p**3 + o**3*p + 3*o**2*p**3 - 24*o*p**3 + 2*o*p**2 - 13*o*p wrt o. -240*o*p**3 + 6*o*p + 6*p**3 What is the first derivative of -5503*u - 8561? -5503 What is the third derivative of -2348*d**6*j - d**4*j + d**2 - 57*d*j - 20 wrt d? -281760*d**3*j - 24*d*j Differentiate -15784*z**4 - 9307. -63136*z**3 Differentiate -8*m**2*s - 9988*m**2 - 26*m*s + 3*s with respect to s. -8*m**2 - 26*m + 3 What is the third derivative of 476*f**3 - 125*f**2? 2856 Differentiate -2*b*f*l**2*q - 2*b*f*l*q - 11*b*l*q - 8*f*l**2 + 2*f*l + 3*f*q wrt b. -2*f*l**2*q - 2*f*l*q - 11*l*q Differentiate -4317*y**3 + 1385 with respect to y. -12951*y**2 What is the third derivative of -5*s**4 - 330*s**3 + 68*s**2 + 3*s - 5? -120*s - 1980 What is the first derivative of 12*f**2 - 10*f + 366? 24*f - 10 Find the third derivative of 277*o*s**4 - 3*o*s**3 + o*s**2 + 39*o + 10*s**2 wrt s. 6648*o*s - 18*o Find the third derivative of -23*j**6 + 5*j**5 - 1333*j**2 wrt j. -2760*j**3 + 300*j**2 What is the second derivative of 13*v**4 + 60*v**3 - 257*v + 1 wrt v? 156*v**2 + 360*v Find the second derivative of 26239*w**4 - 7680*w wrt w. 314868*w**2 What is the third deriva
{ "pile_set_name": "DM Mathematics" }
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True Is 4759871 a composite number? False Is 13726079 composite? False Is 446333 composite? False Is 20093591 composite? True Is 35034859 a prime number? False Is 82094755 composite? True Is 66582059 a composite number? True Is 28362023 a composite number? False Is 209491 composite? True Is 44619307 a prime number? True Is 1646134253 a prime number? True Is 3280611 a composite number? True Is 2367059 a prime number? True Is 20444443 composite? True Is 7550677 a prime number? True Is 1531111 a prime number? True Is 1974391 composite? False Is 22634817 a composite number? True Is 2766727 a composite number? False Is 12118069 composite? True Is 32592869 a composite number? True Is 95821541 prime? False Is 399061381 a prime number? True Is 24975307 composite? True Is 6371567 prime? False Is 54362827 a composite number? False Is 253454777 a prime number? True Is 24318527 composite? True Is 3041965 a composite number? True Is 154543 composite? False Is 3071923 a prime number? True Is 1683547 a prime number? False Is 57963539 composite? False Is 70752995 prime? False Is 529256719 a composite number? False Is 1092799 prime? False Is 17775479 prime? False Is 6783971 a prime number? True Is 84953917 a composite number? False Is 5449099 composite? False Is 34586933 composite? False Is 3361889 a composite number? False Is 1420817 a prime number? True Is 7512077 prime? False Is 22390157 composite? False Is 102997099 composite? True Is 4367687 a prime number? False Is 1996831 a prime number? False Is 532485881 a prime number? True Is 412517729 a prime number? False Is 4030214 composite? True Is 118246309 composite? False Is 138001907 a composite number? True Is 33071173 a prime number? True Is 44666033 composite? False Is 1971967 composite? False Is 142855133 a prime number? True Is 10089221 prime? True Is 195967 a prime number? True Is 806990441 a prime number? True Is 247459319 composite? True Is 108414407 composite? True Is 1990757 a composite number? True Is 8811859 prime? False Is 134791889 prime? True Is 668273 a composite number? False Is 198086651 a composite number? True Is 9943273 prime? False Is 18018751 composite? True Is 10486219 a prime number? True Is 9654049 composite? True Is 71272793 prime? True Is 10435619 prime? True Is 532867 prime? True Is 10146943 prime? False Is 371027 prime? True Is 67474711 composite? False Is 26463839 composite? False Is 148551407 composite? True Is 1504147 composite? False Is 2028053 composite? False Is 76084367 composite? True Is 120286217 prime? True Is 31350731 composite? False Is 280388039 composite? True Is 5955487 a composite number? False Is 15160663 composite? True Is 223926013 prime? True Is 430649 prime? True Is 322407881 a prime number? True Is 266879 a prime number? False Is 92041297 composite? False Is 120879241 a prime number? False Is 790109 composite? True Is 4205269 prime? True Is 26037481 a composite number? False Is 374627 prime? False Is 24188453 prime? True Is 7159063 composite? False Is 486531193 prime? True Is 191857 prime? False Is 169657 a composite number? False Is 8949179 a composite number? True Is 206449 composite? True Is 3080411 composite? True Is 66675913 prime? True Is 6116077 a prime number? False Is 31269377 composite? False Is 365291 composite? False Is 162451727 a prime number? False Is 65481497 a composite number? True Is 49181707 composite? True Is 11090603 composite? True Is 69842197 prime? False Is 8893649 a composite number? False Is 30879445 prime? False Is 18718709 a composite number? False Is 6271781 prime? False Is 66285301 composite? True Is 32797723 a composite number? True Is 19335607 prime? True Is 6506851 prime? False Is 20014721 prime? True Is 467243303 a composite number? False Is 17461099 composite? True Is 62775989 a prime number? False Is 6497003 a composite number? False Is 464267047 prime? False Is 4403305 a composite number? True Is 19009303 a composite number? False Is 569476601 a composite number? True Is 1225108769 composite? False Is 60778147 prime? False Is 168135059 composite? False Is 348909299 a prime number? True Is 39818469 composite? True Is 4392041 a prime number? False Is 921633407 a composite number? True Is 1540997 prime? True Is 94515023 a prime number? True Is 53014631 a composite number? True Is 9229291 a composite number? False Is 29929227 a prime number? False Is 230634489 composite? True Is 1505033 composite? False Is 2889401 composite? True Is 214129549 prime? True Is 71983547 a prime number? True Is 32620589 a prime number? False Is 46386383 prime? True Is 2242105 composite? True Is 42953969 a composite number? True Is 42529057 prime? True Is 285101 composite? False Is 17638193 composite? True Is 2456143 a composite number? True Is 75218197 prime? False Is 2362814 prime? False Is 152645063 prime? True Is 19157497 composite? False Is 109538677 prime? True Is 35804533 a prime number? False Is 35173429 a prime number? True Is 6884147 prime? True Is 39074281 composite? True Is 2536987 prime? False Is 920459 a composite number? True Is 3757357 a composite number? True Is 837419901 composite? True Is 24605995 prime? False Is 38691337 prime? False Is 13053707 a composite number? False Is 58647557 a composite number? False Is 200539 a
{ "pile_set_name": "DM Mathematics" }
-8920, -112, 12218, 28070, 47444, 70340? 96758 What is next in -1947049433, -1947049431, -1947049429? -1947049427 What comes next: -10773237, -10773235, -10773233, -10773231? -10773229 What comes next: 850229, 850199, 850149, 850079, 849989, 849879, 849749? 849599 What is the next term in 117348416, 234696832, 352045248, 469393664, 586742080, 704090496? 821438912 What comes next: -55984359, -111968720, -167953081, -223937442, -279921803? -335906164 What is next in 97123, 97313, 97503, 97693, 97883? 98073 What is next in -95966, -191937, -287908, -383879? -479850 What comes next: 166, 1801, 4504, 8269, 13090? 18961 What comes next: -37917, -151187, -339815, -603801, -943145, -1357847? -1847907 What is the next term in -97439, -97257, -96765, -95807, -94227, -91869, -88577, -84195? -78567 What is the next term in 56062794, 56062795, 56062796, 56062797? 56062798 What is the next term in -7934, -3097, 1740? 6577 What comes next: 42393075, 42393078, 42393081, 42393084, 42393087? 42393090 What comes next: 216691, 866755, 1950195, 3467011, 5417203? 7800771 What is next in -40221, -40281, -40341, -40401, -40461, -40521? -40581 What is the next term in 232774, 931070, 2094898, 3724258, 5819150? 8379574 What is the next term in 214898, 429943, 644988, 860033, 1075078? 1290123 What is next in 19060040, 19060034, 19060028, 19060022, 19060016? 19060010 What is the next term in 15070, 14131, 13192, 12253, 11314, 10375? 9436 What comes next: 895, -5354, -22311, -55328, -109757, -190950, -304259? -455036 What is next in -1056, -3618, -9180, -19242, -35304, -58866, -91428, -134490? -189552 What is next in 4410, 4401, 4378, 4335, 4266, 4165? 4026 What is next in 69747, 69559, 69331, 69045, 68683? 68227 What comes next: 224469, 224754, 225231, 225900, 226761, 227814, 229059? 230496 What comes next: -2221886, -2221930, -2221974, -2222018, -2222062, -2222106? -2222150 What is next in 10473227, 10473198, 10473157, 10473098, 10473015, 10472902, 10472753, 10472562? 10472323 What comes next: 148957, 595895, 1340781, 2383609, 3724373, 5363067, 7299685, 9534221? 12066669 What comes next: -175970, -351813, -527654, -703493, -879330? -1055165 What is next in -37845, -151111, -339887, -604173? -943969 What is next in 52234, 105128, 158020, 210910, 263798? 316684 What is the next term in -4357426, -4357537, -4357722, -4357981? -4358314 What is next in 92028, 368125, 828268, 1472445, 2300644, 3312853, 4509060, 5889253? 7453420 What is the next term in 506, 8954, 17402, 25850, 34298, 42746? 51194 What is the next term in -320, -1439, -2998, -4997, -7436? -10315 What is the next term in -2644111, -2643963, -2643715, -2643361, -2642895, -2642311? -2641603 What is the next term in -54517, -114739, -174961? -235183 What comes next: -28476, -28333, -28096, -27765, -27340, -26821, -26208? -25501 What is the next term in -96316, -95035, -93754, -92473? -91192 What is next in 8841, 17825, 27035, 36585, 46589, 57161, 68415, 80465? 93425 What is the next term in -226060, -904239, -2034536, -3616951? -5651484 What is the next term in 2945625, 2945614, 2945603, 2945592, 2945581? 2945570 What is next in -16031077, -32062153, -48093229, -64124305, -80155381? -96186457 What comes next: 47202, 183543, 410780, 728913, 1137942, 1637867, 2228688? 2910405 What comes next: 327838, 327968, 328098, 328228, 328358, 328488? 328618 What is next in -1549, -1684, -1817, -1948? -2077 What comes next: -79826675, -79826672, -79826659, -79826630, -79826579? -79826500 What comes next: -11686, -21012, -30338? -39664 What is the next term in -99, -24, 187, 600, 1281, 2296? 3711 What is next in 35942, 36229, 36516, 36803, 37090, 37377? 37664 What is the next term in 92707, 92700, 92699, 92704, 92715, 92732? 92755 What comes next: 1133710, 2267156, 3400602, 4534048? 5667494 What comes next: -40059, -76225, -108501, -136887, -161383? -181989 What is next in 2727537, 5455073, 8182611, 10910151? 13637693 What is next in -8894, -8932, -8970? -9008 What comes next: 12216, 16906, 21598, 26292, 30988, 35686? 40386 What is the next term in -47345, -100526, -153707, -206888, -260069? -313250 What is the next term in 389778, 393347, 396916, 400485, 404054, 407623? 411192 What is the next term in 34170, 42139, 50110, 58083, 66058, 74035? 82014 What is next in 6450679, 6450697, 6450715, 6450733, 6450751, 6450769? 6450787 What is next in 31513, 126511, 284855, 506545? 791581 What comes next: 61388, 60607, 59826? 59045 What comes next: -689, -1322, -1945, -2558, -3161, -3754? -4337 What is the next term in -2835651, -2835653, -2835655, -2835657, -2835659? -2835661 What comes next: -1878315, -1878250, -1878145, -1878000, -1877815? -1877590 What is next in -3050, -2185, -742, 1279, 3878? 7055 What is the next term in -8968, -8939, -8908, -8875, -8840, -8803? -8764 What is the next term in -298934, -299656, -300378, -301100? -301822 What is the next term in 663099252, 663099249, 663099246, 663099243, 663099240, 663099237? 663099234 What is next in -91136, -91342, -91680, -92150, -92752, -93486? -94352 What is next in -5520, -5635, -5752, -5865, -5968, -6055, -6120, -6157? -6160 What comes next: -230, -757, -2038, -4535, -8710, -15025? -23942 What is next in -2095880, -2095894, -2095908, -2095922, -2095936, -2095950? -2095964 What is the next term in -677416011, -1354832023, -2032248035? -2709664047 What is next in 3394717, 3394718, 3394719, 3394720? 3394721 What is next in -1015, -2274, -3505, -4708? -5883 What comes next: -464, -2043, -4868, -9113, -14952, -22559? -32108 What comes next: 3226, 1879, -364, -3503, -7538, -12469, -18296? -25019 What is the next term in -462, -5995, -21022, -50289, -98542? -170527 What is the next term in 918454, 1836912, 2755370, 3673828, 4592286? 5510744 What comes next: -2584, -5012, -7440, -9868, -12296? -14724 What is next in 1378667, 2757234, 4135801, 5514368, 6892935? 8271502 What comes next: 5003726, 10007459, 15011190, 20014919, 25018646, 30022371, 35026094? 40029815 What is next in 5664, 22169, 48804, 84855, 129608, 182349, 242364? 308939 What is next in 531309, 1062405, 1593501? 2124597 What is the next term in -78804, -78365, -77926? -77487 What comes next: 4818, 19195, 43140, 76665, 119782, 172503, 234840, 306805? 388410 What comes next: 52548, 105135, 157722, 210309? 262896 What is the next term in -1829492, -3658985, -5488478, -7317971? -9147464 What is next in -592511, -1184954, -1777397, -2369840? -2962283 What is next in 5860084, 5860032, 5859980, 5859928? 5859876 What is next in -97019, -388259, -873693, -1553327, -2427167, -3495219, -4757489? -6213983 What is the next term in 342, 2378, 7824, 18390, 35786, 61722? 97908 What is next in -14, -334, -1166, -2756, -5350, -9194? -14534 What comes next: 66866391, 267465573, 601797543, 1069862301? 1671659847 What is next in 6294836, 6294841, 6294846, 6294851, 6294856, 6294861? 6294866 What is the next term in 15701, 34191, 52681, 71171? 89661 What comes next: -3700521, -7400826, -11101131, -14801436, -18501741, -22202046? -25902351 What is next in -2002396, -2002394, -2002392, -2002390, -2002388? -2002386 What comes next: -2336, -6371, -12130, -19619, -28844, -39811, -52526? -66995 What is the next term in 255459, 510191, 764911, 1019613, 1274291? 1528939 What is next in -12265, -9511, -6757? -4003 What comes next: -2878, -5640, -8440, -11296, -14226? -17248 What is the next term in 1921402, 1921397, 1921390, 1921381, 1921370? 1921357 What is next in -102743, -104163, -105583, -107003? -108423 What is next in -1468, 2200, 12156, 31544, 63508, 111192, 177740? 266296 What comes next: 144689889, 144689880, 144689871, 144689862? 144689853 What is next in -295006, -590002, -884970, -1179904, -1474798, -1769646? -2064442 What is the next term in 397503, 397517, 397541, 397575? 397619 What comes next: -10207, -453, 9299, 19049, 28797, 38543, 48287? 58029 What comes next: 50254, 50400, 50546, 50692? 50838 What is the next term in -48324, -47890, -47468, -47064, -46684? -46334 What comes next: 71902, 71880, 71858, 71836, 71814? 71792 What is next in -567, -1165, -2169, -3585, -5419, -7677, -10365? -13489 What comes next: 6858, 27400, 61628, 109542, 171142, 246428? 335400 What is next in -54990, -56387, -58716, -61977, -66170, -71295, -7735
{ "pile_set_name": "DM Mathematics" }
o, 4*r = 0 for j. 5 Let b(j) = -330*j - 1648. Let o be b(-5). Solve 0 = 5*d - 6*y + 10*y - 29, -2 = -o*y for d. 5 Let f = 331 + -327. Suppose -f = -d + 25*s - 23*s, 5*s = 4*d - 13. Solve 0 = 2*l - 6*x + 2*x + 16, -2*l - 2*x = -d for l. -2 Let p = 90 - -32. Let g = -164 + p. Let y be -1 + (-30)/g + (-60)/(-14). Solve 4*x = 3*l - 19 - 4, -y*l + 2*x + 14 = 0 for l. 1 Suppose -3*t + t - 4*g = 12, -4*t = 4*g + 24. Let w be 9/(t/(-8) + (2 - 2)). Suppose -w = -4*m - 0*m. Solve 16 + 6 = m*r + 4*v, 4*v - 18 = -r for r. 2 Suppose 3 = g - 7. Let q(z) = 0 + g + 0 + 2*z. Let x be q(-3). Solve -6*n + 2*n - i = 8, 5*n - x*i = 11 for n. -1 Suppose 35*s = -19*s + 43*s + 66. Solve 0 = 3*u - q, 5 = 4*u - q + s for u. -1 Let b = -21941 + 21947. Solve -5*j = -12*h + 16*h - b, 0 = -2*h - 2*j + 2 for h. -1 Let q be (2/(-6))/(7/(-315)). Suppose -4*d + 4 = 0, -2*d - 7 = -4*n + q. Solve -4*b + 9*b - m = 19, -2*b - n = 3*m for b. 3 Suppose 0 = -5*w - 5*d - 15, -w + 107*d + 9 = 105*d. Solve -u + 2*g = 7, -71*g + w = -70*g for u. -5 Let d(t) be the first derivative of t**2 - 30*t + 33. Let o be d(22). Solve l + 3*g + 1 - o = 0, 0 = l - 4*g + 22 for l. -2 Suppose -12*p - 5 + 17 = 0. Suppose -p = t - 5. Let m(n) = -n**3 + 5*n**2 - 2*n - 3. Let x be m(t). Solve 5*q - x = 4*q, 2*q = -w + 7 for w. -3 Suppose 0*d + 130 = 5*d. Let h be (((-35)/14)/(3/9))/((-45)/60). Suppose 4*a + h = d. Solve 5*q + a*p = 13, -8*p = -4*p - 8 for q. 1 Let k(q) = 16 - 31 + 8*q - 5*q + 51. Let c be k(-11). Solve 2*o + 17 = 4*m + m, -m = c*o - 17 for o. 4 Let j = 30 + -30. Let g = j - 0. Let c be 6 - (46/18 + (-44)/(-99)). Solve g = -2*n - 2*n, -3*k - c*n = 0 for k. 0 Let k(h) = 8*h**2 - 33*h - 2. Let l(x) = -3*x**2 + 11*x + 1. Let s(u) = 4*k(u) + 11*l(u). Let b be s(-11). Solve 0 = -3*i + 2*n + 3, 8 + 13 = 4*i + b*n for i. 3 Suppose -4*d - 6*q + 775 = -3*q, 0 = 5*d + 3*q - 971. Let x = d + -196. Solve -3*b + 3 = x, -5*h - 3*b - 6 - 6 = 0 for h. -3 Suppose -3*v + 9 = -51. Suppose -v*j = -25*j + 10. Suppose 0 = j*g + 2*b - 46, g + 2*b + 1 - 25 = 0. Solve 2*o + u = 11, -5*o + g = -2*u - u for o. 5 Suppose 10*l + 76 = 96. Let s be (l/(-12) + (-4)/8)*-6. Solve b + 17 = -s*x, 4 = -4*b - 0 for x. -4 Let w = 59 - 57. Suppose 45 = 5*k + 5*f, 2*k + f = -w*k + 21. Solve -9 + k = -n, -8 = r - 2*n for r. 2 Suppose -238 = 2*q - 202. Let w(c) = c**3 + 18*c**2 + c + 21. Let y be w(q). Solve 5*z + y*p = p - 21, -2*z - 15 = 3*p for z. -3 Suppose 8*q = -176 - 56. Let i = q - -29. Solve k + 12 = 4*x, 3*x = k - i*x + 9 for k. 0 Let n = -937 + 943. Solve -4*m - 9*k + n*k + 2 = 0, 0 = -m - 4*k - 6 for m. 2 Suppose -f = -11*f - 8*f + 108. Solve 5*m + 11 = -4, 2*m = 3*o + f for o. -4 Let d be 6/(-27) + 1146/54. Solve 0 = 2*y - 4*s + 6, -2*y + d*s - 23*s - 12 = 0 for y. -5 Let j = -6912 - -6917. Solve 5*c + j*l = 0, -3*l + 30 = -5*c + 6 for c. -3 Suppose -221 - 11 = -116*y. Solve -y*m + 5*z = -3, -4*m = -2*m - 2*z for m. -1 Let t be 4/(-10) + (144/252)/((-10)/(-497)). Solve c + 8 = x - 0*x, t = 5*x - 2*c for x. 4 Let s(v) = 1952*v + 5860. Let i be s(-3). Solve -j - i*h - 31 = -7, 0 = 5*j + 2*h + 30 for j. -4 Suppose -10*m + 2*c = -13*m + 30, c + 39 = 3*m. Let r(w) = -3*w**2 + 29*w + 84. Let s be r(m). Solve 5*n - 23 = p, n + 0*n + 4*p - 13 = s for n. 5 Let b be (11/((-231)/14))/((-1)/3). Suppose 5*i = -3*y, -b*y - y - 3*i = -6. Solve 2*r = -5*a - 18, r + y*a = a - 15 for r. 1 Let k(r) = -17*r - 537. Let f be k(-32). Solve -4 = -i - a, -f + 6 = -2*i + 5*a for i. 3 Suppose 0 = 20*m + 13 + 47. Let r be 9/((-135)/40)*m/4. Solve 4*a - 16 = 4*t, -7*a + r*a - 4*t = 25 for a. -1 Let w be (14 - 0)/(56/(-4) + 13). Let t be (-62)/w + (-92)/(-161). Solve 2*c + 8 + 2 = -t*i, -i + 3*c = 19 for i. -4 Suppose 4*x = -2*k + 1719 - 1715, -4*k + 5*x = -8. Solve -k*h = -h - 3*t + 2, -t = 5*h + 26 for h. -5 Let a be (-4 + -8)*20/(-12). Suppose -5*x + s = -a, -8 = -3*x - s + 4. Solve -4*g = x*l - 4, 2*g - 3*g + 10 = 4*l for g. -2 Suppose 3 = -22*m + 47. Solve -z + 4*x + m = 0, -2*z + 5*x - 1 = 2*x for z. -2 Suppose -150 = 4*u - 21*u - 13*u. Solve -4*z - 13 = u*p - 5, -p + 11 = 5*z for z. 3 Let w = -4507 + 4585. Solve -4*k = 2*g - 8, 80*g = w*g - 4 for k. 3 Let i = 10248 + -10247. Solve x = w - i, 2*x + 8*w = 6*w - 10 for x. -3 Suppose -3*b = -5*h + 17, 0 = 5*h - 4*b + 1536 - 1552. Solve -2*q - 17 = 28*x - 29*x, -h*q + 5*x = 43 for q. -7 Suppose 2*u + 4*b = 46, 16*u = 11*u - 2*b + 51. Solve 3*i - 40 = u*i + 5*f, -i - 21 = 4*f for i. -5 Suppose 8 = -8*r + 40. Suppose -r = -6*g + 8. Solve g*y + 4*b = 26, -4*y + 3*b - 1 = -9 for y. 5 Suppose -54*g - 212 = -58*g. Let i = g - 48. Suppose -5*h = -i - 5. Solve 0 = -5*b + 3*b + h*m + 8, -4*m - 16 = 5*b for b. 0 Let x = -104 - -109. Suppose 4*q = 7*q + x*w - 107, -4*q + 181 = -w. Let g = 69 - q. Solve -3*i + 2*z + g = 0, 2*z - 3*z = 5 for i. 5 Suppose -153*i + 509 = -103. Solve -i*t - 14 + 18 = 0, -4*p - 5*t + 13 = 0 for p. 2 Let g = -130 - -279. Let y = g - 142. Solve 2*c - 2*p - y = 3, 0 = -5*p for c. 5 Suppose -2*h - 3*b = -10, 25 = -379*h + 384*h + 2*b. Solve -h*j + 22 = -3*v, -4*v = -3 - 1 for j. 5 Suppose -66 = -57*h + 162. Suppose -2*w + 20 = -h*p - 2, 2*w - 3*p = 18. Let o(f) = -2*f - 2. Let c be o(-3). Solve -c*x - 18 = v, x = -v - w*v - 12 for v. -2 Let a(u) be the third derivative of u**6/120 + u**5/30 - u**4/6 + u**3/3 - 142*u**2. Let f be a(-3). Solve 0 = 2*c - 6, f*k + 5*c - 25 = -0*c for k. 2 Suppose -289*a - 8 = -293*a. Suppose 0 = -3*b - a*y + 19, -2*y = -b + 4 - 3. Solve -g = -b*c + 4*g - 10, -12 = 4*g for c. -5 Suppose 0 = -4*h + 5*o + 5, -h = -o - 2*o - 3. Suppose 2*c - m = 47, 2*m - 14 + 12 = h. Suppose 2*w - c = -4*w. Solve w*i + 10 = s - 4*s, 2*i + 2 = -3*s for i. -4 Let j(d) = 11*d + 1943 - 993 - d**3 - 987 + 4*d**2. Let y be j(3). Solve -5*k - 30 = -3*i, y*i + k + 16 = 38 for i. 5 Suppose -x - 18 = -2*x. Solve 5*o - m = -x, 2*m - 12 = 3*o + o for o. -4 Let c = 10 - 5. Suppose 210 = 4*y + 3*y. Suppose -4*j = -w - 14, 6*j - y = j - 5*w. Solve c*l + 32 = -j*z, -2*l = -3*z + 2*z + 5 for l. -4 Let v be (82/(-36) - 38/171)*72/(-45). Solve 9*p - v*p - 4*a - 25 = 0, 0 = p + 5*a + 24 for p. 1 Let m(w) = -322*w + 6130. Let p be m(19). Solve -4*x = 2*r - p, -5*r - 2*x + 4*x = -18 for r. 4 Let n(k) = -k + 28. Let x be n(7). Suppose -h - 4*t = -7 - 1, x = 4*h + 5*t. Let i be 1/(-2) - (-15)/6. Solve f - 2*p = 6*f + 1, 2 = -h*f - i*p for f. 1 Suppose 3*a - 1036 = 5*b - 1021, -5*a = 2*b - 25. Solve 55 = j - 4*s + 39, j - a*s = 21 for j. -4 Suppose -13*c + 14*c + 11*c - 48 = 0. Solve -b + 2*p = -3*p - 10, -c*b - 2*p = 4 for b. 0 Let q = -11885 - -12087. Solve 4*p - 190 + q = -3*f, f - 6 = 2*p for f. 0 Let g(a) = 959*a + 3836. Let p be g(-4). Solve 4*q - 20 = p, -2*d = 5*q - 19 - 12 for d. 3 Suppose -3*x + 6 = -2*t, 15*t - 18 = 16*t - 4*x. Solve -4*h = -4*n + t - 26, -n - 6 = -2*h for h. 1 Let n(o) = o + 26. Let p be n(-20). Suppose 0 = -5*x + p*x - 12. Solve 4*g - 3*k + 4*k = 12, 0 = g + 4*k + x for g. 4 Let i(a) = 5*a + 9. Let m be i(0). Suppose -82 = -m*v - 406. Let y = -11 - v. Solve 4*n = 2*f + f - y, 0 = 3*f + 4*n + 7 for f. 3 Let p be (2/2)/((-3)/(1002/2)). Let u = p + 169. Solve 2*d - 3*x - 6 = 7, -5*x = u*d - 5 for d. 5 Let d be 3/(18/48) + 4. Suppose d*w - 8 - 88 = 0. Suppose -3*p = -j - 4*p + 7, 2*j + 3*p = 19. Solve -5*i + w = -0*i - 4*f, 3*i - 4 = j*f for i. 0 Let b = -23571 - -23577. Solve 2*a + 14*x = 11*x - 2, b = 3*x for a. -4 Let b be (-2)/(0 + 8/(-20)). Suppose 1 = -2*u + 3*u, 0 = -o - b*u + 8. Let a be o*3/(-3) - (0 - 6). Solve 0 = -m - 0*m - r + 2, -10 = a*m - 5*r for m. 0 Let y(t) = -17*t + 19. Let s be y(1). Solve -25*q + 8 = k - 22*q, -k + 7 = s*q for k. 5 Let h(t) = 6*t + 15. Let i be h(-2). Let f be (i - 1 - 4) + 7. Solve -u + 0 + 2 = -3*q, -5*u = -f*q + 10 for u. -4 Suppose 5*d = 4*l + 18 + 65, 5*d + 2*l - 71 = 0. Suppose 3*b = 11*m - 8*m + 9, -d = 2*m - 5*b. Solve -2*f - 5*j - 3 = m, j = -2*f - j for f. 1 Suppose 17 = 19*c - 21. Suppose -3*q + 2*n = -2, -2*q + n = -2*n + c. Solve -4*z + 20 = -5*y, -6*y + y - 10 = -q*z for y. 0 Let b be 2/((-21)/15 + (-2)/(-5)). Let y(r) = -22*r**2 - r - 5. Let x be y(b). Let u = x - -94. Solve 0*d - 1 = -2*d - s, u*d + 9 = -5*s for d. 2 Suppose 5*v - 30 = -5*m, m - 4*v - 5 = -14. Suppose y = -m*c + 15, 0*c - y - 15 = -3*c. Let s = c -
{ "pile_set_name": "DM Mathematics" }
Let n(r) = 2*r**2 + 1. Let d(y) = -1 - 2 + 0 + 2 + y. Let c be d(2). Give n(c). 3 Let z(a) = -a**2 - 3*a + 4. Let o be z(-4). Suppose -b + 4*b - 9 = o. Let p(j) = 0*j - 4 + 3*j - 2*j. What is p(b)? -1 Let w(g) = -g - 3. Let z(s) = 1. Let k(r) = -3*w(r) - 15*z(r). Let o(b) = -b + 0*b - 6 - 6 + 2. Let a be o(-14). Calculate k(a). 6 Let u(q) = -q**2 - 3*q + 1. Let r be 32/28 + -5 + (-1)/7. What is u(r)? -3 Let m = -10 + 12. Let c = 4 - m. Let v(b) = -2*b + c*b - 3*b + 0*b. What is v(1)? -3 Let r(p) = p**3 + p + 1. Let g = -16 - -15. Give r(g). -1 Let s be (-6)/27 + (-2)/(-9). Let f(y) be the second derivative of -y**3/6 + 11*y**2/2 - 83*y. Give f(s). 11 Let s be (-2 - -3)/((-3)/9). Let g(k) = k**3 - 3*k**2 - 4*k - 4. Let t(o) = -2*o**3 + 2*o**2 + 5*o + 4. Let f(r) = s*g(r) - 2*t(r). Determine f(-5). -6 Let q(b) = -3*b + 6. Let w = -13 - -16. Let m be q(w). Let y(z) = z**3 + 4*z**2 + 4*z + 2. Calculate y(m). -1 Let x(u) = 5 + u - 6 + u**2 - 2*u. Let d(s) = s + 20. Let q be d(-6). Let b(p) = p**3 - 15*p**2 + 14*p. Let g be b(q). What is x(g)? -1 Let n(h) = h**3 + 7*h**2 - 2*h - 3. Let s(w) = -6*w**3 - 36*w**2 + 9*w + 14. Let t(u) = -11*n(u) - 2*s(u). Give t(4). 5 Let f(o) = 16*o**2 - 61*o - 25. Let z(u) = -3*u**2 + 12*u + 5. Let h(j) = 2*f(j) + 11*z(j). Calculate h(11). -6 Let v(y) = -9*y - y**2 + 0*y + 8 + 3. Give v(-10). 1 Let u(f) be the first derivative of 2*f**3/3 + f**2/2 - f + 17. What is u(2)? 9 Let q be ((-7)/(-21))/((-2)/18). Let d = q - 2. Let m(i) = i**3 + 5*i**2 - 2*i - 1. Determine m(d). 9 Let k = 17 + -13. Suppose -k*u + 8*u + 16 = 0. Let y(j) = -j**3 - 4*j**2 - 3*j. Give y(u). 12 Let l = -8 + 10. Suppose -1 = l*u - 7. Let r(s) = 2*s**2 - 3*s - 2. Give r(u). 7 Let b(m) be the third derivative of m**5/60 + m**4/24 - m**3/2 - 8*m**2. Determine b(-3). 3 Suppose -4*o + 2*b = 3 + 13, 0 = -5*o - 5*b - 35. Let d(z) = z**2 + 5*z - 7. Determine d(o). -7 Suppose -5*t - 4*x = -42, 2*t - 4*t + x = -9. Let i(u) = -1 + 8*u - 6*u - 3*u. Give i(t). -7 Let i(k) = 7 + k - 28 + 21. Let h = -3 - -2. What is i(h)? -1 Let i(k) = -6*k**2 + 0 + 3 + 5*k**2 - 5*k + 0*k**2. What is i(-6)? -3 Let h be (3/(-12))/((-5)/60). Let u(j) = -2*j**2 - 3*j + 6 + h*j**2 + 4*j. Give u(0). 6 Let m(r) = -r + 4. Let y(t) = t - 1. Let d be y(4). Suppose 0 = 5*i - d - 7. Let b be 0 - (i + -1) - -1. Determine m(b). 4 Let s(u) be the third derivative of u**7/5040 + u**6/360 + u**5/60 - 2*u**2. Let m(w) be the third derivative of s(w). What is m(-5)? -3 Let t(d) = -d. Let y be (-1)/(1*(-3)/12). Suppose -5 = 2*v + m, 3*v = -m + y - 14. What is t(v)? 5 Let z(h) = -3*h + 1. Let a be z(2). Let k(g) = -g**2 - 6*g - 5. Determine k(a). 0 Let w = -1 - -6. Suppose -4*j = -2*p + 2 - 0, w*p + 22 = j. Let o(m) = -m**2 - 4*m + 2. Calculate o(p). -3 Let i(j) be the third derivative of -j**5/60 + j**4/8 - j**3/6 - 28*j**2. What is i(2)? 1 Let v(c) = c**2 + 3*c - 3. Let n = 7 + -5. Let p = n + 0. Let f = -7 + p. Give v(f). 7 Let k = 6 - 4. Let o be 4/(-6) - 34/(-6). Suppose q = o*i - 24, 5*q - k*i + 40 = 3*i. Let l(b) = -b**2 - 2*b - 1. Give l(q). -9 Let m(q) be the third derivative of q**5/60 + q**4/24 - q**3/2 - 8*q**2. Calculate m(-3). 3 Let b(v) = -2*v - 1. Let q(d) = 3*d + 11. Let k be q(-4). Determine b(k). 1 Let f(l) be the first derivative of l**3/3 - 5*l**2 - 4*l - 6. What is f(10)? -4 Let d be (-32)/12 + 1 + (-3)/9. Let i(m) = 14*m**2 + 2*m - 17. Let r(u) = 5*u**2 + u - 6. Let g(h) = -4*i(h) + 11*r(h). Give g(d). -8 Let y(i) = i - 1. Suppose -3*g + 35 = -5*q, 4*q - 4*g + 22 = -14. What is y(q)? -5 Let r(z) = -z - 5. Suppose 5 = 3*s + 11, -5*l - 3*s = -4. Suppose w + 3 = 5*u, -l*w + 3*u - 6 = 6*u. Determine r(w). -2 Let g = 17 - 5. Let q(j) = g - 3*j + 0*j + 4*j. Give q(-6). 6 Let a(i) = -1 + 2*i**2 - 4*i**2 + 0 + i**2 - 5*i. Determine a(-6). -7 Let v(y) = -y - 1. Let j(q) = 5*q - 8. Let f(z) = -j(z) - 4*v(z). Calculate f(0). 12 Let u(d) = 2*d**2 - 2 + 4 - 14*d**3 - 6*d**3 + 22*d**3. Calculate u(-2). -6 Let r(c) = -c**3 - 4*c**2 - 4*c - 3. Let a(b) = 1 - 2*b + 3*b - 3 + b**3. Let q be a(0). Let w be r(q). Let p(l) = 4*l + 2. What is p(w)? -10 Let h(o) = 41 + o**2 - 11*o - 17 - 20. Determine h(8). -20 Let k(g) = -g + 1. Let r(b) = b. Let x(s) = -3*k(s) - 4*r(s). Calculate x(-6). 3 Let b(x) = 3*x**3. Let z(n) = 10*n**3 - 1. Let g be 12/((-2)/4 - 1). Let t = -6 - g. Let j(s) = t*z(s) - 7*b(s). Calculate j(-2). 6 Let q = 6 - 3. Let n(w) = -8*w - 20. Let g(s) = -3*s - 7. Let k(l) = -11*g(l) + 4*n(l). What is k(q)? 0 Let t be ((-1 - 1) + 1)/(-1). Suppose -t = 3*a - 4. Let s(h) = -h - 7. Let n(g) = g + 3. Let y(b) = -5*n(b) - 2*s(b). Calculate y(a). -4 Suppose -2*f = 2*f - 8. Let o(i) = 2*i**2 - 3*i - 4. Let k(t) = -2*t**2 + 3*t + 5. Let p(c) = 4*k(c) + 5*o(c). Give p(f). 2 Let n = 12 + -7. Suppose 4*y - 11 - 9 = 0. Let c(v) = 6 + 4 - y - 3*v. Calculate c(n). -10 Suppose 5*s - s = 8. Let a be s + 1 + 2*-1. Let b(m) = m**2 + 4*m - 2 - 2 + a - m**3. Determine b(2). 1 Let h(a) = a**3 - 2*a**2 - 2*a + 1. Let b be (-8)/(-36) - 16/(-9). Give h(b). -3 Let a(j) = -2*j + 1. Let c be (-378)/78 - (-2)/(-13). Let g(p) = p**3 + 6*p**2 + 5*p + 4. Let x be g(c). Determine a(x). -7 Let p(r) = 6*r + 6*r**2 - 7*r**3 - 6*r**3 - 14*r**2 + 14*r**3 + 9. Calculate p(7). 2 Suppose q = -5*a + 9, 3*a - 4*q + 2 = 12. Let r = 0 + a. Let g(f) = 3*f + 0*f - f**r + 4 + 0*f**2. Give g(3). 4 Let m(b) be the first derivative of b**2 - 4*b + 1. Let x be (3/(-2))/((-2)/(-4)). Let n be (x + 13)*2/5. Give m(n). 4 Let h(k) be the first derivative of -k**4/4 - 4*k**3/3 + 2*k**2 - 7*k - 1. Suppose -y - 5 = -14. Let p = 4 - y. What is h(p)? -2 Let r(f) be the second derivative of -1/6*f**4 + 1/3*f**3 + 0 - 1/2*f**2 + f - 1/20*f**5. Calculate r(-2). -5 Let d(x) = -x**2 + 17*x - 18. Let m be d(16). Let v(o) = -o**3 - 3*o**2 - o + 2. Calculate v(m). 0 Let a(z) = z**2 + 6*z + 6. Let j(v) = -14*v**3 + v**2 - 1. Let i be j(1). Let t = 8 + i. What is a(t)? 6 Suppose -5*t = -3*t - 16. Let c be 1*3*t/(-12). Let r(m) = 4*m**2 + 3*m - 4. Let x(a) = -a**2 - a + 1. Let y(q) = c*r(q) - 7*x(q). Calculate y(-2). -5 Let j(r) be the third derivative of -r**4/12 - 2*r**3/3 + r**2. Suppose 8*d = -33 - 7. Give j(d). 6 Let l(m) = -4*m + 35*m**3 + 5 - 6*m**2 + 2*m**2 - 34*m**3. What is l(5)? 10 Let f(x) = x**3 - x**2 - 1. Let c(b) = -5*b**3 + 3*b**2 - 2*b + 10. Let n(y) = c(y) + 6*f(y). Calculate n(4). 12 Let l(f) = -f**3 - 4*f**2 - 2*f + 1. Let o(s) be the second derivative of -s**4/12 - 7*s**3/6 - 4*s**2 + s. Let c be o(-6). What is l(c)? -3 Let n(m) = m**2 + 17*m + 7 - 31*m + 19*m. Let s(t) = -t**3 + 5*t**2 - 3*t + 6. Let c be s(4). Let o = c + -15. Calculate n(o). 7 Let p(b) = -b + 6. Let k be p(-6). Let j = 8 - k. Let f(d) = 3*d**2 - 2*d. Let s(a) = 2*a**2 - 2*a + 1. Let w(x) = -3*f(x) + 4*s(x). Calculate w(j). -4 Let n(m) = m**3 - 2*m**3 - 26*m + 25*m + 3*m**2 - 1. Determine n(3). -4 Let z(y) = -3 - 2*y - 6 + y. Let f be (34/(-10) - 14/(-35)) + -3. Give z(f). -3 Let r(q) = q**2 - 9*q - 9. Let d(k) = -5*k**2 + 36*k + 36. Let s(h) = 2*d(h) + 9*r(h). Give s(-7). 5 Let r(a) = -5*a**3 + 14*a**2 - 20*a - 11. Let i be (0 - -5)*(-2)/(-2). Let d(g) = -3*g**3 + 9*g**2 - 13*g - 7. Let f(q) = i*r(q) - 8*d(q). Give f(-3). -2 Let l(a) = 3*a - 3. Let n = 26 + -24. Give l(n). 3 Let a(w) = w - 7. Let j(y) = 4*y - 1. Let s be j(1). Let t = s + 0. What is a(t)? -4 Let b(j) = j**2 + 2*j - 1. Let h = 7 - 5. Suppose -2*s = 4*z - 20, -s + h*z = -13 - 1. Let q be 2/3 - (-4)/s. Give b(q). 2 Let m(s) = -s**3 - 5*s**2 + 2*s + 2. Suppose 0*n - 5*n + 42 = 3*g, 4*n = 3*g + 39. Let z = 4 - n. Give m(z). -8 Suppose 0 = -5*f - 5 - 5. Let n(l) = l + 4. Give n(f). 2 Let l(a) = a - 4 + a + 3*a - a**2. Determine l(5). -4 Let m(y) = -y**2 - 9*y - 7. Let c be m(-9). Let s be (-8)/28 - 16/c. Let v(o) = -o**3 + 2*o**2 - o - 1. Calculate v(s). -3 Let p(v) be the second derivative of v**4/12 - v**3/2 - v**2/2 + 51*v. What is p(4)? 3 Suppose 17 = 5*y - 3. Let v = -1 + y. Let t(o) = o**3 - 3*o**2 + 2*o - 1. What is t(v)? 5 Let o(v) = -v**2 + 7*v + 6. Suppose 0 = -3*b - 2*p + 7*p + 36, 15 = 3*b + 2*p. Give o(b). 6 Let v(j) = 2*j**2 - 3*j - 3. Suppose 18*a = 20*a + 2. Let o = a + 4. Determine v(o). 6 Let d(l) = 3*l - 3. Let z(f) = f**2 + 15*f - 5. Let g be z(-15). Give d(g). -18 Let k(s) = 8*
{ "pile_set_name": "DM Mathematics" }
What is 2*-1*18032/5152? -7 112*(-35)/(-3360)*1/((-21)/60) -10/3 ((-611)/(-65)*-5)/(1/1) -47 110/(-10)*11*(-30)/(-66) -55 (5646/22584)/(1/1) 1/4 Evaluate 9/((-1710)/(-95))*96. 48 What is 4/((736/12)/(-23)*(-3)/180)? 90 What is the value of (328/(-6))/((-4)/6)*2151/(-8604)? -41/2 What is 24/(-5)*(-4840)/3872? 6 Calculate (1/3)/((-10)/(-50))*(-161)/(28175/(-630)). 6 What is the value of ((-4704)/126)/(-14)*1/((2/9)/(-2))? -24 96/(-30)*127/(47752/(-9165)) 78 Evaluate (7140/(-4760))/((-366)/(-8)). -2/61 What is the value of (15/5)/((93/434)/((5/9)/5))? 14/9 Calculate (2*-21)/(2644/(-3966)). 63 Evaluate ((-46)/(-69))/((-20)/(-25)*(-14)/672). -40 Evaluate (-16767)/(-648)*(-118)/(-531). 23/4 What is the value of (-1469)/113*3/13*126/(-9)*1? 42 (((1152/(-24))/48)/((-1)/(-15)))/(3/15) -75 What is (-18)/2*(-284)/(-2982)*(-1)/(-1)? -6/7 (-27279)/6062*3/((-126)/8) 6/7 Evaluate 5/((-30)/36)*(-1722)/33579. 4/13 What is the value of ((-748)/17)/22*(-30)/10? 6 What is (9/15)/((-15)/45)? -9/5 Evaluate ((-78)/36*-4)/(67/(-201)). -26 Calculate 504/((-896)/64)*((-5)/(-30))/((-2)/(-32)). -96 What is ((-66)/(-594))/((23/828)/((-44)/32))? -11/2 Calculate 76/38*2/(-854)*-7. 2/61 (113190/(-32340))/((-14)/368) 92 Evaluate (-6)/39*(-1053)/36. 9/2 Evaluate 0*((-340)/(-3740))/(20/(-11)). 0 Calculate ((-5)/((-75)/(-306))*(-3)/(-6))/(225/(-125)). 17/3 What is (15/120)/(10/(-72))*(-1075)/(-129)? -15/2 ((-380)/684)/((148/370)/((-84)/(-25))) -14/3 Calculate (21/420*20)/((210/(-7))/(-6)). 1/5 What is the value of (-4)/(-6)*(-6)/(-4)*1*13? 13 Calculate (13286/195)/(6118/(-1311)). -73/5 Calculate 110/((-875160)/68)*3. -1/39 Calculate (21*(-8)/(-1568))/(5/(-175)*-15). 1/4 What is the value of (-2)/(-3)*53*(-98)/36358? -2/21 Calculate 66690/(-8775)*1/(-4)*-2*-5. 19 Evaluate (-14)/8*123340/388521. -5/9 What is ((-533)/(-14924))/((-3)/(-84))*(-720)/12? -60 What is (-16)/(-560)*-21*(-550)/15? 22 What is the value of (-416)/32*(-150)/(-3250)? -3/5 Evaluate -2*6*(-2572)/(-1929). -16 Calculate (((-4758)/156)/61)/26. -1/52 Calculate (111/925)/((-6)/30)*(-40)/3*14. 112 Evaluate (4725/(-735))/(15/(-35)). 15 What is -7*((-342)/19)/(-108)*(-3)/182? 1/52 What is (((-19)/(-380))/1)/(-63*5/(-540))? 3/35 What is the value of (27636/(-752))/(((-99)/12)/11)? 49 Calculate 496/(-18)*12582/2796. -124 What is (-50)/(-175)*(-46438)/(-124)? 107 What is 20/((-260)/117)*88/36? -22 Calculate ((22/44)/((20/(-96))/5))/(38/1). -6/19 What is (-4)/(4/((50624/14)/32))? -113 What is 9*15/(-1215)*-9*47? 47 What is ((800/72)/10)/((840/(-108))/35)? -5 Calculate (2*6/(-256))/((-9)/(-1584)*-44). 3/16 Evaluate (68/(-6))/((((-80)/(-25))/2)/(84/105)). -17/3 Evaluate (18/4*64/48)/(6254/(-53159)). -51 What is the value of (((-635)/10)/1)/(6*58/(-696))? 127 Evaluate 4/231*(-327)/218. -2/77 What is (5*(-16)/(-120))/((2/7)/((-18744)/(-616)))? 71 Calculate ((-2)/24)/(29/((-79866)/(-34))). -27/4 Calculate 22/((-7502)/(-589))*-11*(-4)/4. 19 Evaluate ((-24)/172)/(1527/(-87548)). 8 What is the value of 153/(-85)*14/(84/(-15))? 9/2 What is the value of 112/(-252)*(-11)/55*(-3)/(-6)? 2/45 Calculate -4*(-25)/(-30)*47/188. -5/6 Calculate (150/120)/((-30)/(-16))*36/(-6420)*-5. 2/107 ((-4)/(-53))/((-497488)/(-223448)) 2/59 ((-56595)/(-735))/((((-60)/8)/15)/(1/(-2))) 77 ((-740)/(-5661))/((-50)/225) -10/17 ((-3220)/40)/23*(-60)/(-35) -6 What is ((-18)/2475*25/(-5))/((-37)/((-555)/9))? 2/33 What is the value of ((-2)/(-5))/((((-24)/(-30))/(-4))/(53/15741))? -2/297 What is 415/246261*-23*(-18)/10? 3/43 Calculate (318*((-232)/(-48))/29)/(16/16). 53 What is the value of 14/(-77)*(-25)/(-375)? -2/165 Calculate ((-20)/6*(-37116)/56705)/((-3)/(-44)). 32 Calculate (-3)/(-3)*(-98)/(-4)*(-6672)/(-3892). 42 What is the value of (2*(-2)/1*(-660)/(-40))/((-1539)/(-1026))? -44 Evaluate (-94272)/1473*(-6)/144. 8/3 (41*(-4386)/10455)/(3/15) -86 Calculate 107/((-534144)/(-5538))*64. 71 Evaluate ((20999/581)/253)/(6/28*(-2)/(-4)). 4/3 What is ((12/2)/(-108))/((-14)/112)? 4/9 What is the value of 6/6*-5*(-13312)/(-4160)? -16 Evaluate 1846/11076*135/12. 15/8 What is (5*2/920)/((126/(-28))/9)? -1/46 ((-82)/(-6396)*-39)/((-3)/90*-3) -5 What is ((0/11)/((-2)/(-2)))/(10/(-5))? 0 What is the value of ((-24640)/(-32))/(-35)*11/(-11)? 22 210/28*336/280*1/(-1) -9 Evaluate -8*(4/24*5)/(3*(-3)/(-27)). -20 ((36/(-21))/(9/(-168)))/(102/(-17)) -16/3 What is the value of ((660/(-30))/132)/(31/(-6))? 1/31 What is the value of (-48)/18*(-33)/(-55)*-40? 64 Calculate ((((-1904)/210)/(-17))/((-6)/125))/((-64)/288). 50 (9/(-669)*35/21)/(24765/(-9906)) 2/223 Evaluate (43/((-14190)/(-55))*(-6)/(-9))/(28/(-9)). -1/28 What is the value of ((-32)/(-2640)*-5)/((-26)/858*1)? 2 What is the value of (5/(-2))/(15/530)*(-303)/(-505)? -53 Calculate ((798213/(-194))/(-211))/((-5)/(-20)). 78 Evaluate (-55)/(550/945)*(-38)/855. 21/5 Evaluate (-378)/(-972)*46/(-2415). -1/135 Calculate ((-330)/(-121))/((-515)/2266). -12 What is the value of 5049/594*21/238*-3*-2? 9/2 What is the value of 475/(35625/50)*(-288)/2? -96 Calculate ((-4)/20)/(293/54205). -37 Calculate (1160/1044)/(155/3906). 28 (12/16)/(56/(-14)) -3/16 Evaluate ((-6)/378)/(456/2394). -1/12 What is the value of ((-2420)/(-616))/((-265)/(-106))? 11/7 Evaluate ((-3434)/8787)/(-17)*(-21)/35. -2/145 Evaluate ((-4590)/(-2244))/((-1)/(72/(-30))). 54/11 1*34/((42/294)/(-2*(-4)/56)) 34 6/(-44)*4/(-6)*363/2112 1/64 2/(-2)*(-4)/(-49)*(-151)/(26576/(-9240)) -30/7 What is ((33/(-6))/(2002/546))/(3/70)? -35 Evaluate (-58)/3*1395/930. -29 What is ((-41)/656)/(2*1343/544)? -1/79 What is (-1078)/77*28/343? -8/7 37/(-1)*-4*(-21)/(-84) 37 Evaluate 1406/(-6327)*(-7)/((-49)/21). -2/3 What is 80/(-3780)*-18*(14/18)/(10/3)? 4/45 Calculate (2/((-8)/(-12)))/(14418/2484*-23). -2/89 What is the value of (-84)/(-770)*280/12*1/14*8? 16/11 What is ((-74820)/(-1376))/(-87)*(-3)/(9/(-24))*-1? 5 What is the value of (-10*(-3)/105*20)/(293/(-2051))? -40 Evaluate 296/(-74)*4/(80/1)*(-850)/(-40). -17/4 Calculate 8*132/160*(-10)/1365*-65. 22/7 Calculate 11/1188*(-16)/14*504/(-72). 2/27 Evaluate (-45)/(-6)*(-240)/210*(-7)/(-6). -10 What is the value of (((-48)/204)/(198/(-9537)))/(9/54)? 68 What is the value of (8/264*-11)/(22/12)? -2/11 Evaluate (-888)/(-740)*(-30)/(-6). 6 What is (-5)/(-25)*170/(-1258)? -1/37 Evaluate (36/(-96))/(26/(-26)*9/432). 18 Calculate (-25)/((-575)/(-552))*26/(-364). 12/7 What is the value of ((-2)/(-6))/((279/(-486))/31*(-6)/3)? 9 (-3)/63*3*(-6405)/1098*2/(-10) -1/6 Evaluate (-2)/(((-5232)/(-131454))/((-4)/(-6))). -67/2 What is 6/4*4/(-3)*2/(52/13)? -1 What is (((-25038)/749)/(-117))/((-2)/(-203))? 29 What is the value of ((10/100)/((-31)/(2015/26)))/13? -1/52 Calculate ((-6)/40)/(17/(102/12)*2/10). -3/8 Calculate 3/(-33)*1105368/1896. -53 What is the value of (68/((-46240)/(-204)))/(18/(-5))? -1/12 What is (90/(-4))/(71/((-8946)/1134))*8/(-1090)? -2/109 What is (12/14)/(((-62)/(-1519))/((-4)/16))? -21/4 Calculate ((-4)/(-8))/(54*(-28)/(-87696)). 29 Calculate (2996/(-107))/(-112)*(-20)/42*-6. 5/7 (70/60)/((-78)/(-468)) 7 Evaluate ((-35388)/13762)/((-27)/14). 4/3 Evaluate (-2436)/6699*-33*3/(-2538). -2/141 What is the value of ((-46)/(-368))/(2/(-48))? -3 What is (-2254)/4830*6*11/((-1617)/56)? 16/15 What is (4668/(-5835))/(9/5)? -4/9 ((-1000)/300)/(60/108*-21) 2/7 ((-29896)/(-11211))/((-10)/6*(-12)/645) 86 Evaluate (2/4*-1)/(35/100*22/385). -25 (-20)/(-40)*9/6*((-1147)/37)/93 -1/4 Evaluate ((-125532)/135993)/((12/14)/3). -42/13 ((-3583228)/6882)/((-22)/(-6)) -142 Evaluate (-310)/(-3255)*(-21)/(-15). 2/15 Evaluate (-6)/22*(-26592)/(-9972). -8/11 Calculate (31*22/682)/((-1)/(770/(-14))). 55 Evaluate (-561)/238*((-5)/(45/36))/6. 11/7 What is the value of ((-84)/21*(-7)/56)/((1037/2)/(-17))? -1/61 What is the value of (3/6*-30)/(651/(-2170))? 50 What is the value of (((-44)/(-363))/(14/(-77)))/((-12)/(-2196))? -122 1848/(-484)*(-616)/98 24 1*8/2*53/2226*1*-3 -2/7 Evaluate 5145/5*16/168. 98 What is the value of (39/52*2/(-6))/((-88)/4752)? 27/2 Calculate (-3)/(-30)*((-15)/360*8)/1. -1/30 What is the value of (54/(-99))/(((-288)/(-528))/((-1)/3*6))? 2 Calculate (-16)/36*114/76. -2/3 Evaluate 56/8*(1334/(-49))/(-29). 46/7 4*28/6*87/(-232)*7/(-7) 7 ((8456/(-906))/(-28))/(3*((-553)/(-18))/(-7)) -2/79 What is (-3)/20*62/(-294624)*-120? -1/264 What i
{ "pile_set_name": "DM Mathematics" }
. Determine s(q(n)). 1444*n**2 Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)). 48*o Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))? 121*u**2 + 3 Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative of 1/30*b**5 + 0*b + v*b**3 - 4*b**2 + 0*b**4 + 0. What is s(l(g))? -18*g**2 Let h(t) = 9 - 17 + 8 + 11*t**2. Let i(d) be the third derivative of -d**5/30 + 7*d**2. Calculate h(i(m)). 44*m**4 Let i(g) be the third derivative of -3*g**2 + 0*g**3 + 0*g + 0 + 1/6*g**4. Let a(o) = 5*o**2. What is i(a(z))? 20*z**2 Let w(g) = 25*g. Let u(l) = -13*l. Let s(k) = -13*u(k) - 6*w(k). Let y(b) = -3*b**2 + 6329 - 6329. Give y(s(i)). -1083*i**2 Let d(p) = 1969*p. Let b(x) = 26*x**2. Give b(d(k)). 100800986*k**2 Let d be 18/30 - 84/15. Let s = 11 + d. Let i(n) = -s*n + 3*n - 57 + 57. Let h(g) = 5*g**2. Determine h(i(j)). 45*j**2 Let d(c) be the second derivative of -5*c**3/6 + 3*c. Let l(k) = -23*k**2 - 4. Let h(u) = -96*u**2 - 17. Let q(n) = -4*h(n) + 17*l(n). Give q(d(x)). -175*x**2 Let h(q) = -59*q. Let j(c) = 30*c. Let i(b) = -3*h(b) - 5*j(b). Let r(s) = 5*s**2. What is r(i(p))? 3645*p**2 Let g(h) = -2*h. Let c(q) = -2 + 193*q + 0 - 2 - 188*q. Give g(c(k)). -10*k + 8 Let g(y) = -40*y**2. Let q(l) be the first derivative of -5*l**3/3 - 41. Calculate g(q(z)). -1000*z**4 Let p(t) = -5*t. Let y(g) be the first derivative of 28*g**3/3 + 27. Calculate p(y(n)). -140*n**2 Let a(r) be the first derivative of -383*r**3/3 + 391. Let m(l) = l**2. Give a(m(j)). -383*j**4 Let k(h) = 2*h. Let x(o) = -25 - 20*o + 64*o + 0 - 21*o - 22*o. Calculate x(k(r)). 2*r - 25 Let d(o) be the third derivative of o**5/12 - 6*o**2 + 4. Let s(a) = 9*a**2. Calculate d(s(b)). 405*b**4 Let a(r) be the first derivative of 1/2*r**2 + 1 + 0*r. Let z(u) = -18*u - 7. Let k(g) = 6*g + 2. Let b(i) = -7*k(i) - 2*z(i). Calculate a(b(p)). -6*p Let h(t) = -t**2 + 4*t. Let i(n) = -5*n**2 + 30*n. Let w(o) = 4*h(o) - i(o). Let g(c) = -5*c + 5*c - c**2. Give g(w(d)). -d**4 + 28*d**3 - 196*d**2 Let v(h) = 3787705*h. Let t(a) = a**2. Calculate t(v(j)). 14346709167025*j**2 Let k(b) = -7 - 6 - 1 + 14 - b. Let z(w) = w + 136. Calculate z(k(v)). -v + 136 Let f(b) = -89 - 28 - 3*b + 117. Let h(a) = -2*a**2 - 24. What is h(f(z))? -18*z**2 - 24 Let m(s) = -4*s - 3*s + 448 - 2*s - 448. Let u(a) = -11*a. Calculate m(u(q)). 99*q Let v(h) = 164*h - 78*h - 84*h. Let y(q) = -3*q**2 - 22*q. Determine y(v(d)). -12*d**2 - 44*d Let c(f) = 13*f + 9*f + 5*f - 25*f. Let s(r) be the second derivative of 5*r**3 - 134*r. Give c(s(m)). 60*m Let l(d) = -8*d**2. Let u(j) = 4*j. Let f = -7 - -1. Let r(i) = -2. Let t(k) = k + 10. Let y(w) = 5*r(w) + t(w). Let h(x) = f*y(x) + 2*u(x). What is h(l(n))? -16*n**2 Let k(j) = 3*j - 4. Let a(x) = 4*x**2 + 60*x - 80. Let n(b) = 3*a(b) - 60*k(b). Let l(d) = -8*d**2. Determine l(n(s)). -1152*s**4 Let j(d) = 4*d**2 + 3*d. Let n(h) = 2*h**2 + 5*h - 5. Let z(a) = 2*a**2 + 6*a - 6. Let b(k) = -6*n(k) + 5*z(k). Calculate b(j(s)). -32*s**4 - 48*s**3 - 18*s**2 Let s(l) = -18 + 209 - 6*l - 191. Let d = 6 + -4. Let b(n) = n - n - d*n. What is b(s(g))? 12*g Let s(t) = -18*t**2. Let g(m) = -17*m**2 + 8*m + 8. Let j(u) = 2*u**2 - u - 1. Let d(z) = -3*g(z) - 24*j(z). Give d(s(p)). 972*p**4 Let f(i) = i**2 - 140*i + 5. Let u(c) = 182*c**2. Calculate f(u(z)). 33124*z**4 - 25480*z**2 + 5 Let p(v) be the third derivative of v**8/3360 + 11*v**5/60 - 5*v**2. Let z(l) be the third derivative of p(l). Let g(i) = 5*i**2. Determine g(z(f)). 180*f**4 Let n(d) = -8*d - 7. Let b(m) = -5*m - 5. Let f(z) = -7*b(z) + 5*n(z). Let y(a) = -3*a. Calculate y(f(h)). 15*h Let v(z) = z. Let s = 74 + -70. Let q(c) = 3*c. Let m(w) = s*q(w) - 11*v(w). Let f(y) = 2*y - 17. Calculate f(m(l)). 2*l - 17 Let o(s) = s**2 - 13. Let c be o(-4). Let a(y) = -y + 7 - 7 + c*y. Let r(w) = -3*w - 5. Let d(i) = -2*i - 6. Let m(p) = -5*d(p) + 6*r(p). Calculate m(a(n)). -16*n Let q(z) = -7*z - 3. Let c(a) = -112*a - 49. Let t(p) = 3*c(p) - 49*q(p). Let x be 2/3 + (-8)/(-6). Let r(w) = -w**2 + 6 - w**x - 6. Calculate t(r(h)). -14*h**2 Let j(k) = 133*k**2 - 2. Let g(s) = 8646*s**2 - 131. Let v(p) = 2*g(p) - 131*j(p). Let y(w) be the third derivative of -w**4/12 + 27*w**2. Give y(v(x)). 262*x**2 Let f(g) = -2*g. Let m(y) = -164345*y**2 - y. Calculate f(m(l)). 328690*l**2 + 2*l Let h(c) be the third derivative of -c**5/15 + 1394*c**2. Let g(q) be the second derivative of 11*q**4/12 - q. Determine g(h(p)). 176*p**4 Let a(w) = -110*w**2 + 29*w**2 + 31*w**2 + 40*w**2. Let r(p) = -2*p**2. Give r(a(z)). -200*z**4 Let r(g) be the first derivative of 65*g**2 + 483. Let k(j) = 2*j. Give k(r(p)). 260*p Let y(v) = -20*v - v + 14*v + 6*v. Suppose 0*s = -4*s - k + 9, -k + 11 = 5*s. Let g(u) = -4*u**2 + 3*u - 9*u**s - 3*u. Give g(y(o)). -13*o**2 Let s(l) = -1438*l**2. Let j(f) = -412*f**2. What is j(s(w))? -851951728*w**4 Let f(h) = -35*h. Let w(o) = 88 - 88 + 21*o - 12*o. Determine w(f(d)). -315*d Let y(m) = 16*m - 5. Let i(p) = 24*p - 7. Let g(t) = 5*i(t) - 7*y(t). Suppose -4*s + 7*s - 3300 = 0. Let f(w) = -s + 1100 - w. What is g(f(q))? -8*q Let h(t) = -4*t**2. Suppose -4*j + 8 = -5*v, -5*v - 4*j - j + 10 = 0. Let s = -3 + 3. Let r(i) = -2*i + s*i + v*i. Calculate h(r(n)). -16*n**2 Let p(m) = -5*m**2. Let v(i) = 139381*i. Give p(v(r)). -97135315805*r**2 Let z(n) = 2*n - 19*n**2 + 2 + 6*n - 8*n. Let v(m) = 455*m**2 - 49. Let b(u) = -2*v(u) - 49*z(u). Let a(i) = -3*i. What is b(a(w))? 189*w**2 Let z(c) = -19*c - 4. Let l(y) = -69*y + 8. Determine z(l(h)). 1311*h - 156 Let z be (-9)/63 + 338/14. Let j(h) = -z + 11 + 13 - 20*h. Let r(s) = s. Calculate j(r(l)). -20*l Let o(d) = -42*d - 1. Let j(k) = -2. Let w(y) = -13*y + 156. Let r(h) = 78*j(h) + w(h). Calculate r(o(q)). 546*q + 13 Let v(k) = 861*k**2. Let z(g) be the second derivative of -g**4/6 + 574*g. Calculate z(v(n)). -1482642*n**4 Let p(o) = 3*o**2. Let v(u) = 4379*u. Give p(v(i)). 57526923*i**2 Let f(l) be the first derivative of 3*l**2/2 - 152. Let s(k) = -27*k**2. Give f(s(n)). -81*n**2 Let o(x) = -12*x. Let z(l) = 3553*l**2. What is z(o(w))? 511632*w**2 Let y(w) = -w**2 + 2*w. Let k(r) = 14*r + 9*r - 24*r. Let h(u) = -2*k(u) - y(u). Let z(v) = 7*v. What is h(z(g))? 49*g**2 Let t(j) be the third derivative of -7*j**2 + 0*j + 0*j**3 + 2/15*j**5 + 0*j**4 + 0. Let v(r) = -r**2. Give v(t(q)). -64*q**4 Let l(c) = -12*c. Let r(b) = 14*b**2 - 9*b**2 + 4*b**2. Determine r(l(q)). 1296*q**2 Let l(a) = -4*a**2. Let m(x) = -31 + 3*x + 37 - 5. What is l(m(w))? -36*w**2 - 24*w - 4 Let m(y) = 3*y**2. Suppose -5*o = -2*o - 3*f, 0 = -3*f + 9. Let j(l) be the second derivative of 1/6*l**4 + 0*l**o + 0 + 0*l**2 - 4*l. Give m(j(n)). 12*n**4 Suppose -4*l + 4*c - 3*c = -11, 5*l - 7 = -c. Let o(y) = -11*y**2 + 6*y**l - 2*y**2 + 6*y**2. Let w(j) = -3*j**2. Determine w(o(s)). -3*s**4 Let a(s) be the first derivative of -385*s**3/3 - 710. Let c(t) = -t. What is c(a(n))? 385*n**2 Let g(j) = 7*j. Let r(y) = -334922*y**2. Give g(r(t)). -2344454*t**2 Let i(t) = 26*t**2. Let f(p) = 6378 - 6378 - 12*p. Give f(i(j)). -312*j**2 Let i(q) be the second derivative of -q**4/2 - 67*q. Let r(c) = -16*c**2. Calculate i(r(s)). -1536*s**4 Let l(r) = r**2. Let f(y) = -1203*y**2 + 10*y + 5. Let q(o) = -7820*o**2 + 64*o + 32. Let d(w) = 32*f(w) - 5*q(w). Calculate l(d(t)). 364816*t**4 Let t(h) = -4*h + 6*h + 2*h. Let m be ((-11)/(-1))/(-9 + 10). Let g(p) = -8*p**2 + 20*p**2 - m*p**2. Calculate t(g(n)). 4*n**2 Let s(n) = -9*n**2 + 8*n + n - 8*n. Let k(a) be the first derivative of a**2 - 405. What is s(k(v))? -36*v**2 + 2*v Suppose -5*x + 7*x - 4 = 0. Let i(j) = j**x + 3*j**2 - 5*j**2. Let w(l) = 2*l. Give i(w(q)). -4*q**2 Let l(s) = -2*s + 285711. Let i(p) = -2*p. What is i(l(a))? 4*a - 571422 Let r(q) = 8*q + 4. Let t(s) = -s - 1. Let o(w) = r(w) + 4*t(w). Let c = 9 + -9. Let a(u) = 0*u - u + c*u - u. Calculate o(a(m)). -8*m Let m(v) = -15*v**2. Let s(f) = 9 + 5 + 10*f**2 - 14 - 5*f**2. Calculate s(m(c)). 1125*c**4 Let r(u) = 2*u. Let y(n) be the third derivative of n**4/3 + 4*n**3/3 + 81*n**2. Calculate y(r(a)). 16*a + 8 Suppose -6*x = -x. Suppose x = -6*m + 8*m - 6. Let t(f) = m*f - 4*f + 0*f + 2*f. Let b(p) = 18*p**2. What is b(t
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from {a: 1, s: 4, f: 6}? 3/11 What is prob of picking 2 j, 1 n, and 1 q when four letters picked without replacement from zzmnmjzjqzjjjjjjj? 9/595 Four letters picked without replacement from fiwffwffwfwwiwwf. What is prob of picking 3 w and 1 i? 1/26 Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {p: 2, b: 1, f: 1, h: 5, z: 4, a: 2}. 12/455 Two letters picked without replacement from {m: 3, u: 1}. What is prob of picking 2 m? 1/2 What is prob of picking 1 n and 1 j when two letters picked without replacement from {n: 8, d: 1, j: 10}? 80/171 Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {r: 2, g: 1}. 2/3 Two letters picked without replacement from {h: 9, j: 7, m: 3}. What is prob of picking 2 h? 4/19 Two letters picked without replacement from {w: 2, u: 1, m: 2, e: 1}. Give prob of picking 1 w and 1 m. 4/15 Calculate prob of picking 3 o when three letters picked without replacement from hodyrdddoorrid. 1/364 Calculate prob of picking 2 y when two letters picked without replacement from yyyvvyvyyy. 7/15 Three letters picked without replacement from {x: 2, y: 1, q: 1, p: 4}. What is prob of picking 1 x, 1 q, and 1 p? 1/7 Two letters picked without replacement from {j: 1, o: 6, d: 8, m: 1, n: 3}. What is prob of picking 2 d? 28/171 Three letters picked without replacement from {m: 10, q: 2}. Give prob of picking 1 m and 2 q. 1/22 Calculate prob of picking 3 o when three letters picked without replacement from {o: 14, i: 1}. 4/5 What is prob of picking 1 p and 1 a when two letters picked without replacement from kppkkkyaapa? 9/55 Four letters picked without replacement from {j: 2, r: 5}. Give prob of picking 3 r and 1 j. 4/7 Four letters picked without replacement from {n: 2, v: 6, e: 1, k: 2, b: 3}. Give prob of picking 2 k, 1 v, and 1 n. 12/1001 Three letters picked without replacement from {k: 1, w: 2, s: 1}. What is prob of picking 1 s, 1 w, and 1 k? 1/2 Calculate prob of picking 3 m when three letters picked without replacement from {t: 2, m: 3}. 1/10 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {l: 1, z: 1, i: 1, q: 1, j: 1}. 1/10 Four letters picked without replacement from faffpiaafa. Give prob of picking 1 i, 2 a, and 1 p. 1/35 Two letters picked without replacement from kssks. What is prob of picking 2 k? 1/10 Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {n: 4, u: 4, t: 3}. 8/55 Calculate prob of picking 4 f when four letters picked without replacement from {f: 7, h: 1, x: 10}. 7/612 Three letters picked without replacement from apapaaapaaaaaappaap. Give prob of picking 1 p and 2 a. 156/323 What is prob of picking 1 p, 1 s, and 1 j when three letters picked without replacement from {j: 5, s: 3, p: 1, t: 1, o: 3}? 15/286 Four letters picked without replacement from {r: 1, a: 1, n: 1, e: 2, v: 1, o: 2}. What is prob of picking 1 a, 1 r, and 2 o? 1/70 Two letters picked without replacement from ykldldxxdxym. Give prob of picking 1 y and 1 l. 2/33 Three letters picked without replacement from zzzzzzmzzzzzmzzzzm. What is prob of picking 2 m and 1 z? 15/272 Four letters picked without replacement from rffffdrnrdfrrddefde. Give prob of picking 3 d and 1 r. 25/1938 Four letters picked without replacement from {o: 5, c: 9, a: 2, z: 3}. What is prob of picking 1 a, 2 c, and 1 o? 30/323 Two letters picked without replacement from {e: 2, h: 4}. Give prob of picking 1 h and 1 e. 8/15 Four letters picked without replacement from {k: 5, m: 8}. Give prob of picking 4 k. 1/143 Four letters picked without replacement from {z: 1, l: 2, b: 2}. Give prob of picking 1 z, 1 b, and 2 l. 2/5 Two letters picked without replacement from {e: 2, n: 5}. What is prob of picking 1 e and 1 n? 10/21 What is prob of picking 1 z and 1 w when two letters picked without replacement from {i: 9, z: 1, w: 10}? 1/19 What is prob of picking 3 k when three letters picked without replacement from {f: 5, k: 4, c: 7}? 1/140 What is prob of picking 1 i, 1 f, and 2 d when four letters picked without replacement from dbiibdfr? 1/35 Calculate prob of picking 2 s when two letters picked without replacement from ssf. 1/3 Four letters picked without replacement from {s: 1, x: 3, y: 1, u: 1, q: 3, a: 9}. Give prob of picking 1 q, 2 a, and 1 u. 3/85 Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {g: 6, c: 6}. 6/11 Two letters picked without replacement from nnngvnngnvvn. Give prob of picking 2 g. 1/66 What is prob of picking 4 v when four letters picked without replacement from vvvvvvv? 1 What is prob of picking 3 u and 1 i when four letters picked without replacement from {i: 5, u: 5, e: 2}? 10/99 Three letters picked without replacement from {v: 5, l: 1, s: 5}. What is prob of picking 1 v, 1 l, and 1 s? 5/33 Calculate prob of picking 3 e and 1 z when four letters picked without replacement from {n: 1, z: 2, e: 4}. 8/35 Three letters picked without replacement from {o: 2, p: 1, t: 1, n: 1, d: 1, a: 1}. What is prob of picking 1 n, 1 d, and 1 o? 2/35 Four letters picked without replacement from beeapuuueeeqpaeauebe. What is prob of picking 1 a, 1 p, and 2 b? 2/1615 Two letters picked without replacement from {e: 2, u: 10, i: 2}. Give prob of picking 1 e and 1 i. 4/91 Three letters picked without replacement from puwuwuwu. Give prob of picking 3 u. 1/14 Two letters picked without replacement from cccoefeooco. Give prob of picking 1 o and 1 e. 8/55 Calculate prob of picking 3 k when three letters picked without replacement from {k: 9, z: 2}. 28/55 Calculate prob of picking 2 w and 1 r when three letters picked without replacement from rwsrtpwpsssssstrwrs. 4/323 Calculate prob of picking 1 u and 2 a when three letters picked without replacement from guawwaw. 1/35 Two letters picked without replacement from xxxxzxzzzzzz. What is prob of picking 2 z? 7/22 Three letters picked without replacement from nxdxxdxdn. What is prob of picking 1 x, 1 d, and 1 n? 2/7 Three letters picked without replacement from {s: 3, x: 7}. Give prob of picking 1 x and 2 s. 7/40 Calculate prob of picking 2 a and 1 j when three letters picked without replacement from jajjjjjajjjjjjaj. 39/560 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {q: 7, f: 4, x: 1, v: 4, d: 2}. 8/153 What is prob of picking 1 d and 1 q when two letters picked without replacement from xvcxdvvdcqxvxy? 2/91 What is prob of picking 1 h, 1 q, and 2 f when four letters picked without replacement from pjfpfqffphp? 1/55 Four letters picked without replacement from xtxttx. What is prob of picking 1 t and 3 x? 1/5 Three letters picked without replacement from wapptwwcwwwattb. Give prob of picking 1 a, 1 c, and 1 w. 12/455 Four letters picked without replacement from vkjqo. What is prob of picking 1 v, 1 j, 1 k, and 1 o? 1/5 Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r. 1 Three letters picked without replacement from {c: 9, s: 4, u: 6}. Give prob of picking 1 c and 2 u. 45/323 Three letters picked without replacement from {r: 8, o: 5}. What is prob of picking 3 r? 28/143 What is prob of picking 2 g when two letters picked without replacement from uugguguuuguuugggggu? 4/19 Calculate prob of picking 2 h and 1 r when three letters picked without replacement from {r: 3, f: 1, c: 5, n: 2, h: 6}. 9/136 Two letters picked without replacement from {y: 2, u: 1, w: 1, s: 2, p: 1, a: 1}. What is prob of picking 1 y and 1 s? 1/7 Four letters picked without replacement from coooooooooococo. Give prob of picking 4 o. 33/91 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {z: 7, d: 2, g: 1, u: 4, s: 1, v: 4}. 4/171 Three letters picked without replacement from iiviisviivkqvsvvii. What is prob of picking 1 q, 1 s, and 1 v? 1/68 Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {z: 7, x: 6}. 63/143 Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {r: 8, z: 2, g: 2}. 8/33 Calculate prob of picking 1 g and 1 h when two letters picked withou
{ "pile_set_name": "DM Mathematics" }
st common divisor of 272 and 51872? 16 Calculate the highest common factor of 785 and 5144105. 785 What is the highest common divisor of 520 and 187655? 65 Calculate the highest common factor of 6 and 23054. 2 Calculate the greatest common divisor of 165715 and 4301. 253 What is the greatest common divisor of 377 and 117537? 29 Calculate the highest common divisor of 45 and 992025. 45 What is the greatest common factor of 33 and 37862? 11 What is the greatest common factor of 1869 and 41563? 89 What is the highest common factor of 41 and 1159357? 41 Calculate the greatest common divisor of 46 and 14219014. 46 Calculate the highest common factor of 204 and 106. 2 Calculate the greatest common divisor of 1967 and 35125. 281 What is the greatest common divisor of 16014 and 13872? 102 Calculate the greatest common divisor of 1940 and 227756. 388 Calculate the greatest common factor of 48043 and 14368. 449 What is the greatest common divisor of 279 and 10075? 31 What is the highest common divisor of 126976 and 80? 16 What is the greatest common divisor of 21238 and 444? 74 What is the greatest common factor of 25 and 1320925? 25 What is the greatest common divisor of 4990 and 85? 5 Calculate the highest common divisor of 95794 and 13504. 422 Calculate the highest common divisor of 7902 and 98. 2 Calculate the greatest common divisor of 10723671 and 567. 567 What is the highest common divisor of 1467 and 20864? 163 What is the highest common factor of 49346 and 66? 22 What is the highest common factor of 240 and 284560? 80 What is the greatest common factor of 54317 and 551? 29 What is the greatest common divisor of 16 and 19752? 8 What is the greatest common divisor of 2948 and 3652? 44 Calculate the greatest common divisor of 199416 and 231. 21 What is the highest common divisor of 4900 and 2700? 100 Calculate the greatest common divisor of 7348 and 59619. 167 What is the highest common divisor of 8732 and 185? 37 Calculate the highest common divisor of 582 and 53641. 97 Calculate the highest common divisor of 800 and 8540. 20 What is the greatest common divisor of 7690 and 170? 10 Calculate the greatest common divisor of 57622 and 47. 47 What is the highest common divisor of 68 and 85102? 34 What is the highest common factor of 9 and 75807? 9 Calculate the highest common factor of 531800 and 100. 100 Calculate the greatest common factor of 115829 and 7. 7 Calculate the greatest common factor of 46 and 1488. 2 What is the highest common divisor of 4576 and 26494? 26 Calculate the highest common factor of 6153 and 273. 21 What is the highest common divisor of 424 and 528834? 106 Calculate the greatest common divisor of 60 and 2342352. 12 What is the highest common factor of 21992 and 16? 8 Calculate the greatest common factor of 72 and 979956. 36 Calculate the highest common factor of 663 and 1433185. 221 Calculate the highest common divisor of 336083 and 11. 11 Calculate the greatest common factor of 96529 and 415. 83 Calculate the greatest common divisor of 203476 and 140. 28 What is the greatest common factor of 679398 and 48? 6 Calculate the greatest common factor of 7254 and 28314. 234 Calculate the greatest common factor of 28 and 41643. 7 Calculate the highest common factor of 255 and 8007. 51 Calculate the highest common divisor of 130647 and 642. 321 What is the greatest common factor of 1189 and 5510? 29 Calculate the greatest common divisor of 9920 and 23715. 155 What is the greatest common factor of 2034 and 414? 18 Calculate the greatest common factor of 84864 and 16864. 544 Calculate the highest common divisor of 180 and 2300. 20 What is the greatest common factor of 282999 and 537? 537 What is the greatest common factor of 3548839 and 399? 133 Calculate the greatest common divisor of 650 and 9256. 26 What is the highest common factor of 336 and 12752? 16 What is the highest common divisor of 7854 and 152229? 231 Calculate the greatest common divisor of 1560 and 600. 120 Calculate the highest common factor of 36 and 8991. 9 What is the highest common divisor of 37835 and 8883? 329 What is the greatest common divisor of 4797 and 14157? 117 What is the greatest common factor of 12934 and 145? 29 What is the highest common divisor of 126 and 3122? 14 Calculate the highest common divisor of 2275 and 76300. 175 Calculate the highest common divisor of 1163509 and 1514. 757 What is the highest common divisor of 1025696 and 8? 8 Calculate the highest common factor of 449358 and 42. 42 Calculate the greatest common divisor of 945 and 182. 7 What is the greatest common factor of 7722 and 507? 39 Calculate the highest common factor of 3523 and 351487. 271 What is the highest common factor of 39 and 251459? 13 Calculate the greatest common factor of 62832 and 21336. 168 Calculate the highest common divisor of 5941 and 14885. 13 What is the greatest common factor of 915 and 549? 183 Calculate the highest common factor of 1016099 and 1149. 383 Calculate the greatest common factor of 2365 and 37312. 11 What is the highest common factor of 1641 and 25709? 547 Calculate the greatest common divisor of 36 and 899. 1 Calculate the greatest common factor of 4069 and 81693. 313 What is the greatest common factor of 4232 and 1473794? 1058 What is the greatest common factor of 391 and 84881? 17 Calculate the greatest common factor of 7440 and 22196. 124 What is the greatest common factor of 143626 and 14? 14 What is the greatest common divisor of 1060 and 14360? 20 What is the highest common divisor of 97851 and 507? 507 What is the highest common divisor of 2010197 and 7? 7 Calculate the highest common factor of 144 and 29466. 18 Calculate the highest common divisor of 77 and 55451. 11 What is the greatest common factor of 98 and 1302224? 98 What is the greatest common factor of 112 and 139888? 112 What is the greatest common divisor of 1286 and 5893738? 1286 Calculate the highest common divisor of 1064 and 119624. 152 Calculate the greatest common factor of 3650 and 1095. 365 What is the highest common divisor of 72034 and 2? 2 Calculate the highest common factor of 40135 and 115. 115 Calculate the highest common divisor of 238144 and 512. 64 What is the highest common factor of 33467 and 1568? 49 Calculate the highest common divisor of 420 and 5593420. 140 Calculate the highest common factor of 133974 and 306. 18 Calculate the greatest common factor of 563 and 338363. 563 What is the highest common divisor of 68 and 6613? 17 What is the greatest common divisor of 12155 and 209729? 221 Calculate the highest common divisor of 286209 and 5390. 539 What is the highest common divisor of 102 and 85034? 34 What is the highest common factor of 3446950 and 26? 26 Calculate the highest common factor of 11270 and 1470. 490 What is the greatest common divisor of 592 and 752432? 592 Calculate the greatest common factor of 2004 and 459918. 1002 Calculate the greatest common divisor of 68445 and 261. 9 What is the greatest common divisor of 10142 and 13486? 22 Calculate the greatest common divisor of 13362 and 306. 102 Calculate the greatest common factor of 52 and 272233. 13 What is the greatest common divisor of 180 and 84510? 90 Calculate the greatest common factor of 26 and 375622. 26 Calculate the highest common divisor of 26896 and 208. 16 Calculate the greatest common divisor of 427 and 500444. 427 Calculate the highest common divisor of 276858 and 162. 162 Calculate the highest common divisor of 16044 and 84. 84 Calculate the greatest common factor of 6331 and 707124. 487 Calculate the highest common divisor of 31 and 233. 1 Calculate the greatest common divisor of 3916154 and 374. 374 What is the greatest common factor of 114754 and 724? 362 What is the highest common factor of 3105 and 42228? 621 What is the greatest common factor of 9621 and 630? 9 Calculate the greatest common factor of 189811 and 67. 67 Calculate the highest common factor of 21 and 34392. 3 What is the highest common factor of 2201410 and 40? 10 What is the highest common factor of 46455 and 24939? 489 What is the highest common divisor of 331766 and 4? 2 Calculate the highest common divisor of 14 and 774074. 14 What is the greatest common factor of 680 and 50745? 85 What is the greate
{ "pile_set_name": "DM Mathematics" }
d by 26571. 111 What is the remainder when 8543 is divided by 3890? 763 What is the remainder when 17804886 is divided by 278201? 22 What is the remainder when 20799174 is divided by 184? 182 What is the remainder when 4992962 is divided by 42? 2 Calculate the remainder when 132573 is divided by 44159. 96 What is the remainder when 24585285 is divided by 56? 53 Calculate the remainder when 57689 is divided by 69. 5 What is the remainder when 276294 is divided by 69051? 90 Calculate the remainder when 33865965 is divided by 72830. 15 Calculate the remainder when 2145433 is divided by 147. 115 What is the remainder when 181579 is divided by 30093? 1021 Calculate the remainder when 45098101 is divided by 2017. 2015 What is the remainder when 7109082 is divided by 2069? 2067 Calculate the remainder when 178422 is divided by 195. 192 Calculate the remainder when 2126124 is divided by 53152. 44 What is the remainder when 6246712 is divided by 6053? 16 Calculate the remainder when 600754 is divided by 40013. 559 Calculate the remainder when 12539064 is divided by 14892. 0 What is the remainder when 6615741 is divided by 24? 21 What is the remainder when 30302 is divided by 5941? 597 Calculate the remainder when 2815516 is divided by 1721. 1681 Calculate the remainder when 311669 is divided by 11981. 163 Calculate the remainder when 5075362 is divided by 943. 136 What is the remainder when 11441632 is divided by 715101? 16 Calculate the remainder when 506531 is divided by 375. 281 What is the remainder when 4158148 is divided by 1639? 5 What is the remainder when 776322 is divided by 20215? 8152 Calculate the remainder when 92185 is divided by 8362. 203 Calculate the remainder when 2692666 is divided by 1346199. 268 What is the remainder when 108993993 is divided by 1969? 1967 What is the remainder when 453623 is divided by 959? 16 What is the remainder when 1634493 is divided by 19? 18 What is the remainder when 10810207 is divided by 1199? 23 Calculate the remainder when 73863 is divided by 2550. 2463 What is the remainder when 8330758 is divided by 564? 478 Calculate the remainder when 6330969 is divided by 15. 9 Calculate the remainder when 967904 is divided by 2042. 2038 Calculate the remainder when 61621711 is divided by 1645. 11 What is the remainder when 24188669 is divided by 1675? 1669 Calculate the remainder when 349748 is divided by 988. 984 What is the remainder when 167321 is divided by 2368? 1561 Calculate the remainder when 512530 is divided by 109. 12 What is the remainder when 1901992 is divided by 170? 32 Calculate the remainder when 11960777 is divided by 108. 101 What is the remainder when 4333206 is divided by 3388? 3342 Calculate the remainder when 21221602 is divided by 36. 34 Calculate the remainder when 3118576 is divided by 3993. 43 What is the remainder when 833448 is divided by 2541? 0 Calculate the remainder when 1177027 is divided by 6598. 2583 What is the remainder when 1096300 is divided by 2681? 2452 Calculate the remainder when 461834 is divided by 317. 282 What is the remainder when 274011322 is divided by 1085? 1082 What is the remainder when 40028 is divided by 1099? 464 What is the remainder when 372767 is divided by 186363? 41 What is the remainder when 436550 is divided by 2215? 195 Calculate the remainder when 9936510 is divided by 1210. 1200 What is the remainder when 222106376 is divided by 15? 11 What is the remainder when 1116506 is divided by 223296? 26 What is the remainder when 44077394 is divided by 14692445? 59 What is the remainder when 38692893 is divided by 242? 239 Calculate the remainder when 67765 is divided by 5643. 49 Calculate the remainder when 3475656 is divided by 231709. 21 Calculate the remainder when 133129 is divided by 256. 9 What is the remainder when 181281 is divided by 813? 795 What is the remainder when 83106 is divided by 1069? 793 Calculate the remainder when 174988 is divided by 27928. 7420 What is the remainder when 1359114 is divided by 1248? 42 What is the remainder when 100466 is divided by 884? 574 Calculate the remainder when 527938260 is divided by 543. 537 What is the remainder when 136196 is divided by 5042? 62 What is the remainder when 896214 is divided by 2439? 1101 What is the remainder when 671419 is divided by 1212? 1183 What is the remainder when 2623012 is divided by 644? 0 Calculate the remainder when 1360 is divided by 62. 58 Calculate the remainder when 1670 is divided by 69. 14 What is the remainder when 2467077 is divided by 60171? 66 Calculate the remainder when 5657103 is divided by 2828454. 195 Calculate the remainder when 338322 is divided by 988. 426 Calculate the remainder when 5958 is divided by 632. 270 Calculate the remainder when 41823230 is divided by 231. 218 What is the remainder when 669842 is divided by 546? 446 What is the remainder when 5441558 is divided by 57279? 53 What is the remainder when 106680703 is divided by 976? 975 Calculate the remainder when 100368 is divided by 2846. 758 What is the remainder when 2549900 is divided by 364271? 3 Calculate the remainder when 77620 is divided by 8099. 4729 What is the remainder when 206547 is divided by 198669? 7878 Calculate the remainder when 5392940 is divided by 1797499. 443 What is the remainder when 118336 is divided by 39444? 4 What is the remainder when 16889903 is divided by 14? 9 Calculate the remainder when 652430 is divided by 81552. 14 Calculate the remainder when 10097306 is divided by 150706. 4 Calculate the remainder when 2535751 is divided by 408. 31 What is the remainder when 305308 is divided by 9532? 284 Calculate the remainder when 55895154 is divided by 65451. 0 What is the remainder when 66225795 is divided by 281? 277 Calculate the remainder when 3331729 is divided by 388. 361 What is the remainder when 22382972 is divided by 44? 40 What is the remainder when 64284993 is divided by 29? 26 Calculate the remainder when 57115 is divided by 1929. 1174 What is the remainder when 295212 is divided by 108? 48 Calculate the remainder when 124343 is divided by 555. 23 What is the remainder when 92577 is divided by 46117? 343 What is the remainder when 34139 is divided by 2363? 1057 Calculate the remainder when 1911474 is divided by 943. 13 Calculate the remainder when 6752116 is divided by 181. 92 Calculate the remainder when 56828433 is divided by 11365686. 3 Calculate the remainder when 972138 is divided by 972137. 1 What is the remainder when 6552895 is divided by 3458? 3443 What is the remainder when 1582417 is divided by 102? 91 Calculate the remainder when 1126111 is divided by 562875. 361 Calculate the remainder when 328675 is divided by 263. 188 Calculate the remainder when 875559737 is divided by 22. 19 Calculate the remainder when 5172348 is divided by 1724112. 12 What is the remainder when 60962930 is divided by 3581? 3567 What is the remainder when 56178444 is divided by 4744? 4740 What is the remainder when 3346873 is divided by 19015? 233 Calculate the remainder when 2833380 is divided by 974. 14 What is the remainder when 143850 is divided by 2107? 574 What is the remainder when 704009 is divided by 533? 449 Calculate the remainder when 1528947 is divided by 305789. 2 Calculate the remainder when 63785 is divided by 3856. 2089 What is the remainder when 989199 is divided by 11? 2 What is the remainder when 3147843 is divided by 73? 10 Calculate the remainder when 9272404 is divided by 1816. 1724 What is the remainder when 104495138 is divided by 1123? 1111 Calculate the remainder when 2180987 is divided by 385. 347 What is the remainder when 1009610 is divided by 2671? 2643 What is the remainder when 534365 is divided by 1243? 1118 Calculate the remainder when 28684319 is divided by 15331. 18 What is the remainder when 302172 is divided by 43163? 31 What is the remainder when 1011470 is divided by 2510? 2450 What is the remainder when 111983 is divided by 21811? 2928 What is the remainder when 1397838 is divided by 20246? 864 What is the remainder when 17922072 is divided by 16? 8 Calculate the remainder when 2566189 is divided by 483. 10 Calculate the remainder when 23078 is divided by 22917. 161 Calculate the remainder when 841774 is divided by 19. 17 Calc
{ "pile_set_name": "DM Mathematics" }
50). -1/47 What is ((9050/(-60))/181)/((-1)/(-6))? -5 What is (10/(-396))/(-1)*(-2571)/(-4285)? 1/66 What is the value of (-1*6)/((-2379)/793*(-4)/(320/(-4)))? 40 Evaluate (6968/(-1040))/((-3)/10)*(252/14)/(-6). -67 What is (-10920)/(-1638)*(-3)/15*2*24? -64 Calculate ((-2895426)/(-15822))/(4/((-4)/(-3))). 61 Calculate 24/(-1236)*103*24/(1/1). -48 What is the value of ((-13)/(-39))/(56/(-8232))? -49 ((-1001)/(-16016))/(6/8*3) 1/36 What is ((((-5)/(-1))/450)/((-146)/(-1095)))/((-2)/(-20))? 5/6 Calculate (-1287)/(-594)*32/988*-6*(-3)/(-8). -3/19 What is the value of 2/(((-1604)/2005)/((-13)/(-5)))? -13/2 Calculate ((3/63)/((-15)/(-45))*7)/((-7)/91). -13 (1/6)/((-2)/4)*456/(-8) 19 (2*(-27)/(-276)*52/(-468))/(2/24) -6/23 (67/(34572/(-903)))/((-1)/(-24)) -42 What is the value of (-28)/(-4)*25/((-350)/84)*2/12? -7 83060/145355*1*2 8/7 Calculate 6/(((-288)/2889)/(-8)*(-504)/112). -107 What is ((-4)/(-12))/((-4)/(-18)*((-4865)/630)/(-139))? 27 What is the value of (((-24)/98)/(33/(-33)))/(51/(7140/8))? 30/7 (174/(-319)*(-3)/279)/((-4)/(-22)) 1/31 What is (-107)/(6955/50)*-130? 100 Evaluate 8*6*(-19591)/(-6576). 143 Evaluate (((-12)/(-3))/24*(-68)/(-1))/((-10)/105). -119 What is ((-4)/14)/(((-8007)/1071)/157)? 6 (-2128)/(-57)*4575/1400 122 What is (-174*22/(-396))/(((-2)/(-24))/(35/140))? 29 Calculate (64360/9654)/((-1)/(-3)). 20 Evaluate (((-4)/(24/(-18)))/((-90)/(-70)))/(1/9). 21 (161/154)/(252/5544) 23 Calculate -72*(-902)/(-6642)*(-18*(-2)/16)/(-3). 22/3 What is the value of 2*(-5)/(-450)*(100/3)/(-20)? -1/27 Calculate (-348*167/(-38744))/(33/(-8)). -4/11 169*228/(-988)*(-21)/(-14)*4/9 -26 What is the value of 10/(-24)*6*8/10*(-46)/(-21942)? -2/477 (5/195)/((4/(-13))/(6456/(-13988))) 1/26 What is the value of (-57)/(((-135)/(-20))/(-1)*(-161)/1449)? -76 Evaluate 4/13650*-7*-6*(-40)/(-16). 2/65 What is ((-192)/56)/(300/18*9/105)? -12/5 ((-4)/(-3))/(((-14420)/(-5562))/((-392)/(-144))) 7/5 What is (8/(-330))/((18848/(-2356))/((1*20)/(-1)))? -2/33 Evaluate (-10)/((-240)/(-27))*(-29920)/1122. 30 Evaluate 81949/7126*20/23. 10 Evaluate (-8)/((-256)/(-80))*(-2)/(-4)*(-8)/10. 1 Evaluate ((-6188)/1638)/(4/(-90)). 85 Calculate 10325/4425*-2*(-3)/(-42)*291. -97 Calculate ((-224)/(-1664))/((-5607)/(-712)). 2/117 6258/2384*(-8)/(-1008) 1/48 What is 15/3*20/35*(-13468)/296? -130 What is ((-4)/16)/((-33)/(1188/(-30)))? -3/10 Calculate (119*315/24990)/(126/(-16)). -4/21 What is 170*3/(-8)*188656/117910? -102 Calculate ((-496)/(-3720))/((68/120)/(-17)). -4 Evaluate 112/364*(-78)/21*2/(-2). 8/7 What is (((-6)/(-20))/((-24)/64))/((-56)/(-84))? -6/5 What is the value of ((-30)/240)/(2/(-16))? 1 Calculate 10/((-106)/(-1643)*62)*(-6)/7. -15/7 Evaluate (462/(-2))/77*(-55)/(-3). -55 What is 3*(-345)/(-15)*((-4)/(-12))/(-1)? -23 Calculate (-12)/(-126)*(-30)/(-5)*35/112*-4. -5/7 Evaluate (-11)/(-3)*(36/(-14))/((-90)/(-420)). -44 What is 7/((1973104/(-32))/223)? -2/79 Calculate 4*2/(16/(-4))*66*52/(-312). 22 4*456/(-8)*(-70)/560*(-8)/6 -38 Calculate (36/243)/(15/9*(-22)/275*5). -2/9 What is the value of 9/1155*-70*(-55)/3? 10 Evaluate 895167/61208*(-16)/2. -117 What is the value of (87/145)/((-7)/(-805))*(-12)/18? -46 Calculate -60*(((-24)/21)/2)/(-12*23/322). -40 ((30/72)/(24/96))/((-7)/21) -5 Evaluate (((49/(-7))/21)/((-40)/(-630)))/(60/(-560)). 49 Calculate (-47)/(752/48)*((-2)/(-2))/((-30)/(-520)). -52 What is the value of ((-14)/168*8)/((-17)/(-1581))? -62 What is the value of (241/3374)/(((-9)/(-18))/(2/(-1)))? -2/7 What is ((-7)/7)/(-10*(-4709)/(-340))? 2/277 What is the value of (-1)/(((-12)/312)/(18/(-117)))? -4 Evaluate ((-10)/7)/(83*3/17430). -100 What is 240/(-52)*(1612/6)/(-31)? 40 What is the value of (2/(-3))/((-21*(-20)/(-30))/12)? 4/7 What is the value of (-21)/((-15)/(-15))*-6*33/(-5940)? -7/10 What is the value of (6*6/48)/(((-11)/473)/(16/(-4)))? 129 (14*64/(-1904))/(-2) 4/17 Calculate ((-1)/4)/(164/164)*(-40)/(80/10). 5/4 Calculate (4/14)/(129/(42183/(-1090))). -3/35 What is ((2/(-496))/(27/(-36)))/(29/58)? 1/93 What is (3/273)/((-103)/(-1339))*91/2? 13/2 What is ((-152)/57)/((-10)/27)*(-3)/((-63)/175)? 60 (-2*3/21)/((-349)/((-300489)/(-3936))) 1/16 Calculate (((-14)/(-63))/2)/((-149)/9387). -7 Calculate (9/(972/(-135)))/((-2)/(-80)). -50 What is the value of (400/78)/5*193/((-47092)/(-366))? 20/13 Evaluate (-13)/(26/(-3))*17/(13311/(-580)). -10/9 What is the value of (-34)/(-40)*21*(-12)/18*60/105? -34/5 What is the value of 82/1599*78*-9? -36 What is (19/323)/((76/(-342))/(4/18))? -1/17 What is the value of (33/(-1100)*10*(-4)/3)/(30/100)? 4/3 What is the value of (4/(-6))/((-4398)/613521)? 93 What is the value of 121/165*6*(-320)/(-32)? 44 Evaluate ((-1182)/1182)/((-3)/(-36)). -12 What is (((-2)/(-1))/1)/(57*24/456)? 2/3 (((-36)/(-105))/(-3))/(41/(-7790)*-19) -8/7 Calculate ((-12)/21*-3)/(8394/(-254618)). -52 880/176*((-8)/6)/((-7)/(-63)) -60 What is the value of 21*2676/3568*4/(1/1)? 63 What is (4/24*-1)/((-8930)/(-1880))? -2/57 What is -84*30/40*3*(-8)/24? 63 What is (((-66198)/119)/59)/((-6)/21)? 33 What is ((-72)/(-936))/(54/(-36))? -2/39 Evaluate 988/39*((-533)/(-26))/41*-6. -76 Calculate ((6/(-22))/(-3))/((-480)/353760). -67 Calculate (94/(-42))/((-191)/4011). 47 What is 1155/231*(-9)/(-15)*-7? -21 Calculate (4/(20/(-5)))/((52/(-130))/((-128)/(-5))). 64 Calculate ((-28)/(1848/1089))/(177/590). -55 Evaluate (-168)/420*(20/(-56)*-2)/((-620)/(-350)). -5/31 What is the value of (-8676)/(-2169)*(-165)/10? -66 What is the value of (-8)/164*(-363)/(-242)? -3/41 (2/7*(-2240)/800)/((-4280)/(-100)) -2/107 Calculate -17*2541/2618*2/3*-5. 55 Evaluate ((-1674)/(-57753))/((5/(10/2))/((-1)/1)). -2/69 What is the value of 1992/5810*10/28*(-126)/6? -18/7 (20/24*4347/105)/((-3)/4) -46 What is 395/1106*(-12)/10*91? -39 Calculate (714/(-510))/(11/(1100/8))*30/(-5). 105 Evaluate 16452/12339*(18/(-4))/3. -2 Calculate 376035/(-2838)*((-28)/10)/(-7). -53 What is (-252)/(-210)*3740/(-102)? -44 Evaluate (((-3)/(-7))/((-90)/(-30))*-4)/((-1)/28). 16 Calculate ((-24475)/890)/(((-20)/24)/((-5)/6*2)). -55 What is 444/37*(-43)/((-1978)/(-230))? -60 Evaluate (5460/728)/(15/(-100)). -50 Calculate ((-41344)/1615)/((-2)/(-5)). -64 (-4)/16*1800/(510/(-17)) 15 What is the value of -3*4/1071*(-14958)/9972? 2/119 Evaluate ((120/(-75))/(1/10))/((990/(-44))/(-45)). -32 What is the value of (-20)/16*95/((-12825)/(-90))? -5/6 (28/(-2450))/((-51)/(-357)) -2/25 What is the value of ((-3)/165*3*(-32)/8)/(8/60)? 18/11 Calculate 5/((-100)/(-4))*-4*(-4870)/(-17532). -2/9 (32*(-6)/24)/((-160)/60) 3 Evaluate (64/((-32448)/(-117)))/(4*(-7)/(-364)). 3 Evaluate ((-2191878)/(-44863))/((-18)/28). -76 ((4*(-1)/(-30))/(480/(-150)))/((-8)/(-32)) -1/6 What is the value of (40/(-78))/((-375)/(-225))? -4/13 Calculate (11/(99/6))/(5*2*(-347)/1735). -1/3 What is the value of (2/7)/(((-550)/73920)/((-35)/21))? 64 What is the value of 434/124*(-12)/(-8379)*-3*(-70)/(-10)? -2/19 What is ((-35)/3015)/((-1148)/984)? 2/201 (-186)/1178*-494*(-1)/(-3) 26 Evaluate (396/(-1650))/((-25)/((-375)/(-54))). 1/15 What is the value of 80/1225*(-12850)/20560? -2/49 Evaluate (-1521)/(-507)*(-56)/3. -56 -2*(-13)/(-39)*1008/(-42) 16 (245/(-112))/(7693/3297) -15/16 Evaluate (-370)/(124320/(-252))*124/1. 93 ((-8)/((-384)/28))/(2849/(-88)) -2/111 Calculate 2*((-96)/(-72))/(1*4)*(-306)/(-4). 51 Evaluate ((-18)/(-146718)*11)/((-10)/420*-7). 2/247 Evaluate (((-24072)/51)/59)/(4*-1). 2 Calculate (-1368)/836*22/(-4)*2/666*1. 1/37 What is (4*2/368)/((-6)/4)*(-516)/430? 2/115 What is the value of (-50)/48*18/1710*-76? 5/6 What is (55728/(-8170))/27*(-20)/8? 12/19 What is (26/12)/(((-7)/784)/(859/(-12026)))? 52/3 ((-252)/(-24))/(-1*3*(-459)/(-153)) -7/6 Evaluate (5424/17628)/((-208)/(-2535)). 15/4 Evaluate ((-98175)/(-6375))/(56/(-80)). -22 ((-40923)/36376)/(2*(-3)/(-4))*20 -15 What is the value of (185/700*14*-2)/((-2)/10)? 37 Calculate ((-1)/(-7))/((-61)/(762195/70)). -51/2 What is ((-16)/40)/((432/260)/36)? -26/3 Calculate ((-43)/(-4257))/(1/18). 2/11 Calculate ((-584)/(-8176))/(44/168). 3/11 Evaluate 40*201/107200*-20. -3/2 Calculate (5/225*-1)/(1051/3153). -1/15 Calculate 114/(-76)*-16*9/(-6). -36 Calculate 9210/(-64470)*(-2)/(10/(-7)). -1/5 What is (513/399)/(294/98)? 3/7 6/((-352)/88*(-1)/(-7))*20/3 -70 What is (-96)/(-36)*630/(-
{ "pile_set_name": "DM Mathematics" }
terms in -6*a**3 - a**3 + 3*a**3 - 3*a**3. -7*a**3 Collect the terms in -4 + 1 + 3 - 11*g**3. -11*g**3 Collect the terms in -3*o + 210*o**2 + 3*o - 211*o**2. -o**2 Collect the terms in -2*g + 3*g + 0*g + g - 112*g**3. -112*g**3 + 2*g Collect the terms in 386*s**2 - 386*s**2 + 3*s**3. 3*s**3 Collect the terms in -2*n + 2*n + 7218*n**3. 7218*n**3 Collect the terms in -3 + 5 + 4*w - 2. 4*w Collect the terms in 3168*d - 39*d**3 - 3168*d. -39*d**3 Collect the terms in -12*s + 28*s + 29*s + s. 46*s Collect the terms in 39*q + 43*q + 47*q - 125*q. 4*q Collect the terms in -4*c + 36*c**2 + c + 3*c. 36*c**2 Collect the terms in 49*r**3 - 24*r**3 - 20*r**3. 5*r**3 Collect the terms in -573*r - 267*r + 2 - 1114*r. -1954*r + 2 Collect the terms in 0 + 2 - 3 - 53*s. -53*s - 1 Collect the terms in -2*l - 5676 + 5676 + l - 2*l. -3*l Collect the terms in 3038*a**2 - 3038*a**2 - 10*a**3. -10*a**3 Collect the terms in -406*i**3 - 1507*i**3 - 112*i**3 + 225*i**3. -1800*i**3 Collect the terms in 105*o - 6*o - 46*o - 52*o. o Collect the terms in -13*p + 7*p - 9*p + 11*p + 8*p. 4*p Collect the terms in -37 + 125*h + 37. 125*h Collect the terms in 47*b**2 - 47*b**2 - b**3. -b**3 Collect the terms in -3*k**2 - 3160 + 3160. -3*k**2 Collect the terms in -5*b + 25 - 17 - 13. -5*b - 5 Collect the terms in -2 + 1242*b - 84*b + 1. 1158*b - 1 Collect the terms in 303*y - 4*y**3 - 303*y. -4*y**3 Collect the terms in 54*m + 2 - 2 + 0. 54*m Collect the terms in 23*l - 10*l - 14*l + 26. -l + 26 Collect the terms in 17*k - 35*k - 6*k - 42*k. -66*k Collect the terms in 2*g**2 + 9*g**2 - 14*g**2 - 40*g**2 - 10*g. -43*g**2 - 10*g Collect the terms in -22*y**3 - 15*y**3 - 25*y**3 + 63*y**3. y**3 Collect the terms in -24*u + 10*u - 20*u. -34*u Collect the terms in -98*z + 22*z + 28*z + 23*z + 27*z. 2*z Collect the terms in 4*p**3 + 2*p**3 - 45 + 90 - 45. 6*p**3 Collect the terms in -20*t - 9*t + 12*t. -17*t Collect the terms in -131*d - 200*d + 116*d. -215*d Collect the terms in 3*d + 3*d - 9 - 2*d. 4*d - 9 Collect the terms in -18*c - 11*c - 9*c. -38*c Collect the terms in -15*j + 15*j + 2*j**2. 2*j**2 Collect the terms in -1078*w**2 + 550*w**2 + 536*w**2. 8*w**2 Collect the terms in 3 + 1 + 10*z + 10. 10*z + 14 Collect the terms in 0*w + 4*w - 51 - 58 + 109. 4*w Collect the terms in -3*m - 3*m**2 + 3*m + 3*m**3 - 4*m**3. -m**3 - 3*m**2 Collect the terms in 7*m + 342506 - 342506. 7*m Collect the terms in -43*f**3 + 28*f**3 + 20*f**3. 5*f**3 Collect the terms in -7*b**3 + 1 + 0*b**3 + 6 - 4*b**3. -11*b**3 + 7 Collect the terms in 2*p**3 - 3*p + 0*p**3 + 8*p. 2*p**3 + 5*p Collect the terms in 3 - 3836*d**2 + 3834*d**2 - 3. -2*d**2 Collect the terms in -637*l + 17*l**2 + 19*l**2 + 637*l. 36*l**2 Collect the terms in -m - 7*m + 8*m + 73*m**2. 73*m**2 Collect the terms in 6*j**3 - 22*j**3 + 2*j - 2*j + 13*j**3. -3*j**3 Collect the terms in -43 + 12*p + 43 - 5*p. 7*p Collect the terms in -33*t + 2 - 57*t + 26*t. -64*t + 2 Collect the terms in 2794*b**3 - 2814*b**3 + b**2 - b**2. -20*b**3 Collect the terms in 10 + 9*a**2 + 3*a**2 - 10. 12*a**2 Collect the terms in 12*u**2 - 11*u**2 - 10 - 6. u**2 - 16 Collect the terms in 0*q - 6*q**3 + 0*q + q**3. -5*q**3 Collect the terms in 483*k**2 - 219*k**2 - 262*k**2. 2*k**2 Collect the terms in -6*g - 10*g - 26*g. -42*g Collect the terms in -6*y + 6*y + 74*y**2 - 8*y**2. 66*y**2 Collect the terms in 23 - 23 + 81*a. 81*a Collect the terms in o**3 + 9*o**3 - 7*o**3. 3*o**3 Collect the terms in -9*t - 9*t + 18*t - 5*t. -5*t Collect the terms in -126 - 17*m - 121 + 243. -17*m - 4 Collect the terms in 29 + 15719*r**3 - 29 - 15728*r**3. -9*r**3 Collect the terms in -19*k**2 - 1710 + 1710. -19*k**2 Collect the terms in 15*n + 0 - 3 + 3. 15*n Collect the terms in -19*j**2 + 5*j**2 + 6*j**2. -8*j**2 Collect the terms in 6*q**2 + 6*q**2 + 5*q**2 + 2*q**3 - 17*q**2. 2*q**3 Collect the terms in 589*n**2 + 32*n**2 - 33*n**2. 588*n**2 Collect the terms in -18*x + 17*x + 50*x. 49*x Collect the terms in -5*m**2 + m**2 - 5*m**2 + 3*m**2. -6*m**2 Collect the terms in -50 + 25*r**2 + 50. 25*r**2 Collect the terms in 15*t**3 - 8*t**3 + 20*t**3. 27*t**3 Collect the terms in -15 + 2*w + 17 - 13 - 56. 2*w - 67 Collect the terms in 2*h + 6 - 5 + 92*h. 94*h + 1 Collect the terms in 0 + 0 + 6*x**2 + 2. 6*x**2 + 2 Collect the terms in 2*w + 3*w - 12*w + 2*w. -5*w Collect the terms in 2*a**2 - 16*a**3 + 0*a**2 + 2*a**2. -16*a**3 + 4*a**2 Collect the terms in -5887*t**2 + 2942*t**2 + 2947*t**2. 2*t**2 Collect the terms in -6 + 0 - 15*o**2 - 5 + 1. -15*o**2 - 10 Collect the terms in 999*j - 1997*j + 1000*j. 2*j Collect the terms in 6816*h**3 - 2 - 6809*h**3 + 2. 7*h**3 Collect the terms in -54*r**3 + 8*r**2 - 5*r**2 - r**2. -54*r**3 + 2*r**2 Collect the terms in 361 - 704 - a**3 + 11*a**3 + 343. 10*a**3 Collect the terms in 3*h + 8*h - 7*h + 2*h. 6*h Collect the terms in -v - 12*v**3 + 4*v + 17*v**3 - 4*v. 5*v**3 - v Collect the terms in -406*m**2 + 7*m + 406*m**2 + 17*m**3. 17*m**3 + 7*m Collect the terms in -12*c + 17*c - c - 8*c. -4*c Collect the terms in -3604*u**2 + 3604*u**2 - 3*u**3. -3*u**3 Collect the terms in -62*t - 182*t + 24*t - 86*t. -306*t Collect the terms in -1 - 9 + 35*v**3 - 37*v**3. -2*v**3 - 10 Collect the terms in -z - 7*z + 2*z - 4*z. -10*z Collect the terms in 132 - 6*p**2 - 132. -6*p**2 Collect the terms in 281*f**3 + 286*f**3 - 566*f**3. f**3 Collect the terms in 7*v - v - v + 4*v. 9*v Collect the terms in 1108 + 3*m**2 - 1108. 3*m**2 Collect the terms in 6*f**3 - 15*f**3 + f**3. -8*f**3 Collect the terms in 10*v**3 - v**2 + 3*v**2 - 2*v**2. 10*v**3 Collect the terms in -17*m + 3*m**3 - 2*m - m**3 - 4*m**3. -2*m**3 - 19*m Collect the terms in 7*t**2 - 23*t**2 + 13*t**2. -3*t**2 Collect the terms in 3186 + 7*w - 3186. 7*w Collect the terms in -11*v**2 + 1 + 13*v**2 - 1. 2*v**2 Collect the terms in 1884*u**2 - 943*u**2 - 943*u**2. -2*u**2 Collect the terms in 17*r**3 + 9*r**3 - 28*r**3. -2*r**3 Collect the terms in -9*a**3 - 5*a**3 + 3*a**3. -11*a**3 Collect the terms in 2*l + l + 4*l - 8*l. -l Collect the terms in -2*g**3 + 7*g**3 - g + 0*g**3 + 3*g. 5*g**3 + 2*g Collect the terms in 16*f**3 - 5*f**3 + 10*f**3. 21*f**3 Collect the terms in 5*t**2 + 4*t**2 + t**2 - 11*t**2. -t**2 Collect the terms in -3*v**2 - 6*v**2 + 3*v**2. -6*v**2 Collect the terms in -3*i**2 - 3*i**2 - i**2 + 0*i**2. -7*i**2 Collect the terms in -4*l**2 + 4*l**2 + 14*l**2 + 4*l**2. 18*l**2 Collect the terms in -27*t + 45*t - 22*t. -4*t Collect the terms in 5 - 5 + 41*v**3 - 21*v**3 + 19*v**3. 39*v**3 Collect the terms in -181*g + 91*g + 90*g - 8*g**2. -8*g**2 Collect the terms in -3 + 3 + 21*x**3 + 4*x**3. 25*x**3 Collect the terms in -28*w**2 - 34*w**2 - 33*w**2 + 97*w**2. 2*w**2 Collect the terms in -17276252*c**3 + 17276251*c**3 + c - c. -c**3 Collect the terms in 37*g**3 + 31*g**3 + 35*g**3 - 106*g**3. -3*g**3 Collect the terms in 1733*m - 37*m**3 - 1733*m. -37*m**3 Collect the terms in -4*h - 3*h**3 - h + 2*h. -3*h**3 - 3*h Collect the terms in t**3 - 10*t**3 + 6*t**3. -3*t**3 Collect the terms in 0 - 17 - z**2 + 0. -z**2 - 17 Collect the terms in 305*v - 149*v - 137*v. 19*v Collect the terms in 9*b**3 - 165*b + 165*b - 54*b**3. -45*b**3 Collect the terms in 266*r - 30*r**2 - 266*r. -30*r**2 Collect the terms in -5*r**2 + 16*r**2 - 8*r**2 + 0*r**2. 3*r**2 Collect the terms in 0 - 3*g + 2*g + 25. -g + 25 Collect the terms in 0*l**3 + 12*l**3 - 9*l**3. 3*l**3 Collect the terms in 0 + 0 - 5055*p + 5042*p. -13*p Collect the terms in 3*p - 8*p - 52*p - 53*p. -110*p Collect the terms in l**2 - 76259*l + 76259*l. l**2 Collect the terms in 106*s**2 - 35*s**2 + 24 - 24. 71*s**2 Collect the terms in 3*y**2 + 47*y**2 - 5*y**2 - 19*y**2. 26*y**2 Collect the terms in 13*r**2 - 19*r**2 + 1 - 1. -6*r**2 Collect the terms in -3*v**2 + 17*v**2 + 3*v**2. 17*v**2 Collect the terms in 7 - 7 + 3*f. 3*f Collect the terms in -5*i + 9*i + 4*i**2 - 4*i. 4*i**2 Collect the terms in -3*i**3 + i**3 + 0*i**3 - 48*i**2 + 48*i**2. -2*i**3 Collect the terms in 6275 - 3136 - 3139 + 3*r**2. 3*r**2 Collect the terms in -140*u**3 - 15*u**3 + 51*u**3 - 241*u**3. -345*u**3 Collect the terms in 11*k**3 + 51*k + 40*k - 91*k. 11*k**3 Collect the terms in 175*p**2 - 352*p**2 + 179*p**2. 2*p**2 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
73/((-308936)/414))? -23/3 Calculate (-36)/48*-2*8816/(-228). -58 What is 3/9*49/294*-2? -1/9 -18*161/(-966)*(-56)/3 -56 Evaluate ((-938)/(-77))/((-476)/2618). -67 Calculate (-297)/15*13130/(-2626). 99 (237391/17739582)/((-22)/(-8)) 2/411 What is the value of ((406/21)/((-580)/87))/(4/(140/(-21)))? 29/6 Calculate ((38/(-4))/(-2*3/(-72)))/(37870/(-18935)). 57 What is the value of (-1)/(((-375)/(-390))/(-25)*-2)? -13 Evaluate 6/20*270/648*(-32)/12. -1/3 ((-5)/(-90))/((-36)/((-360)/(-5))) -1/9 What is (-1944)/135*20/32*-4? 36 What is the value of ((-176)/(-33)*(-21)/((-672)/8))/((-10)/(-48))? 32/5 (-60)/9*548/(-28496) 5/39 418/3*2148/3938 76 Calculate (((-12712)/(-336))/(-227))/(-4*(-4)/48*4). -1/8 What is (9/90)/(7/5)*34/119? 1/49 Calculate 15*(-28)/(-24)*(-888)/777. -20 Calculate ((-720)/15)/12*(-4)/(264/11). 2/3 What is the value of ((-88)/(-8228))/(126/(-693))? -1/17 What is the value of ((7/(-21))/(-1))/((-30)/((-154980)/(-41)))? -42 (3*-12)/((-8874)/((-11016)/(-108))) 12/29 Calculate -2*((-44)/(-264))/((28/(-7))/(-56)). -14/3 What is the value of (132*22/(-330))/(8/20)? -22 Evaluate (-88)/(-78)*11921/3668. 11/3 Evaluate (30/(-11))/(2/((-22)/5)*(-2529)/(-12645)). 30 Evaluate (-1)/2*((-102)/75)/17. 1/25 Evaluate (2752/8256)/(((-86)/(-10))/(24/(-10))). -4/43 Calculate ((-2744)/2401*(-21)/66)/((-18)/33). -2/3 What is ((-290)/(-783)*-90)/(((-25)/(-12))/(-5))? 80 (24/1088*-34)/((-3)/36) 9 What is the value of 345/(5*(-39)/(-13))? 23 Calculate (6844/(-2006))/((-6)/(-51)). -29 Calculate (253/(23023/(-1092)))/((-8)/(-2)). -3 What is the value of ((-20)/140)/(783/189)? -1/29 (-1)/(5/(30/(-6)))*81/(-3) -27 What is (18/45)/((-171)/(-684)*4/7)? 14/5 Calculate (-6)/16*((-20)/15)/((-129)/(-43))*114. 19 Evaluate ((-1557)/692*24/(-27))/((-2)/(-33)). 33 What is the value of 8*(-21)/(-2184)*(-2)/(-2)? 1/13 Calculate 326556/(-1995620)*((-1)/1)/((-9)/390). -78/11 Calculate 21/((-210)/(-100))*(-56)/56*(-5)/35. 10/7 What is the value of ((2496/182)/12)/((-6)/105)? -20 What is the value of ((3944/17)/29)/(16/148)? 74 Evaluate (-105)/28*(-12672)/(-6600)*(-3)/((-99)/5). -12/11 Evaluate 6/(-15)*(-6)/(72/15)*7004/(-206). -17 Calculate (-2758)/(-985)*(-80)/(-7). 32 What is ((-8092)/85)/(-17)*(-12)/(-9)*4950/(-240)? -154 What is the value of 21/(7371/18)*(-783)/174? -3/13 What is (120/(-200))/((-10)/(2000/(-1380)))? -2/23 20*(-324)/(-2880)*4*3/450*5 3/10 Evaluate (384/(-320))/(114/(-20)*-1)*4/24. -2/57 Calculate ((-1)/(-2))/(1259/188850). 75 Evaluate 2472/(-13184)*(-2)/(-12)*4. -1/8 Evaluate (((-263)/(-17884))/((-7)/8))/((-2)/(-28)). -4/17 Calculate ((85/(-238))/(50/(-70)))/(2/(-44)). -11 44/((-11616)/24)*(-4)/4 1/11 What is ((3/1)/3)/((-29)/(-5278)*-7)? -26 Calculate (17/(867/(-6)))/((-27)/(-918)). -4 Calculate -67*252/(-5628)*(-14)/2331. -2/111 Evaluate (-3840)/(-288)*2/5*105/(-14). -40 What is the value of ((-34328)/30037)/(26/42)? -24/13 What is the value of 1112/834*7/((-1400)/45)? -3/10 (((-6)/(-22))/(-1))/((360/264)/(-15)) 3 What is the value of 84210/(-60150)*10/(-9)? 14/9 Evaluate (28/1*-1)/((208/(-8))/(-13)). -14 Calculate (2/(16/(-2)))/(84/(-2112)*(-332)/(-1743)). 33 What is 16/16*28/(-10)*5? -14 Evaluate ((-740)/(-15))/((-2)/6)*(7315/(-154))/95. 74 (1760/(-50))/(-11)*(-31)/62 -8/5 Evaluate ((-7)/(49/21))/(2/30*5). -9 ((-1)/(-1))/((588/42532)/(3/(-7))) -31 What is the value of ((33/(-286)*13)/6)/((-5)/(-8))*105? -42 ((-2)/(-16))/((-92)/(-552))*5/9*-2 -5/6 Calculate ((-5841)/(-1593))/(44*11/528). 4 What is (-196*10/(-560))/((-1)/(24/4))? -21 What is ((-6)/(-4))/(31383/(-355674))? -17 Evaluate ((-1505)/(-35))/(-731)*-3*17. 3 Calculate (636/21147)/((-4)/(-28)). 4/19 Evaluate (127743/(-924))/(-14*4/(-32)). -79 (-4*5/40)/(-26*38/(-148200)) -75 Evaluate ((-4520)/1695*150/56)/(18/(-189)). 75 What is 1*((-96)/(-16))/54*18/4*34? 17 Calculate (-4715)/23*(-10)/25*(-7)/14. -41 What is 11/10*-2*3*(-60)/756*-21? -11 What is (56/20)/(244/6710*5/(15/(-3)))? -77 What is the value of ((-70)/35)/(35/45)? -18/7 What is the value of ((-42)/2625*25/40)/(13/(-1872)*9)? 4/25 Calculate ((175/(-50))/(-1))/(-14). -1/4 Evaluate ((-79704)/(-615))/(-162)*5/56. -1/14 Calculate ((-24)/294)/(286/2002). -4/7 What is 255657/(-32988)*-4*3? 93 What is the value of ((-10)/(-50)*(-1485)/(-363))/(-15)? -3/55 (3605/7931)/((-30)/(-627)) 19/2 Evaluate 35*45/(-34650)*902. -41 Calculate 10/22*(-214434)/(-2565). 38 What is 54/(31/((-9052)/219))? -72 Evaluate (-11)/(132/180)*(-10)/(-6). -25 625/(-75)*((-1428)/(-70))/17 -10 What is the value of ((-186)/(-4557)*1)/(11/(-154))? -4/7 ((-1833)/(-1222))/(2/(160/(-3))) -40 Calculate ((49680/60180)/(-138))/(2/(-17)). 3/59 Calculate ((-10)/4)/((-990)/72*138/253). 1/3 What is the value of ((-196)/(-14))/(138/(-345))? -35 (78*636/3445)/((-6)/15) -36 What is the value of (((-92)/(-897))/(192/(-1248)))/((-43)/(-3))? -2/43 Calculate (115*112/141680)/((9/(-3))/3). -1/11 Calculate (90/570)/((-186)/(-5890)). 5 What is ((108/48)/3)/(104/32)? 3/13 Calculate ((40/45)/(204/(-12)))/(508/(-1143)). 2/17 (-5824)/(-126)*((-32)/16)/(-16) 52/9 Calculate -1*((-10)/1)/(-10)*3/((-3)/52). 52 What is the value of ((-4)/(32/(-3)))/(11403/364896)? 12 Calculate -165*53/10017*-63. 55 What is the value of (-64)/(16/(-4))*(-15)/(-30)*-1? -8 What is the value of ((-3000)/3600)/((-9)/3)? 5/18 (3/(-3))/(160/2816)*(-25)/30*-3 -44 (772/(-579))/((12/4)/(-54)) 24 Evaluate (-32)/(-6)*1050158/250784. 67/3 What is ((8/(-40))/((425/25)/(-85)))/((-1)/107)? -107 What is (29400/(-61250))/(8/170)? -51/5 What is 12/((-10)/(-3)*-1)*2890/1156? -9 Evaluate (-162)/(-63)*((-30)/40)/(27/(-336)). 24 What is the value of (-188)/(-1)*4424/(-17696)? -47 What is the value of (-64)/(-9)*(-3)/(-8)*12? 32 Evaluate ((-5)/(-87))/((-90445)/651204). -12/29 What is the value of (-15)/(-68)*(8/(-12))/((-1715)/2058)? 3/17 What is the value of (570/(-741))/((-1)/78*5)? 12 429/13*((-112)/126)/(10/15) -44 What is (-304)/(-608)*-3*2*(-1)/(-9)*-42? 14 ((-21)/9*(-5)/245)/((-85)/(-1275)) 5/7 What is 407/(-74)*63/(-77)? 9/2 Calculate (171630/(-11442))/(2/(-6)). 45 What is the value of 975/(-146510)*-46*126/30? 9/7 What is (7680/(-144))/16*1134/45? -84 ((-15)/(-10))/(((-108)/(-3024))/((-16)/12)) -56 Calculate (6/3)/(((-6149)/(-572))/(3/12*-2)). -4/43 ((-3)/45)/(28/2870)*(544/17)/16 -41/3 Calculate (1230/(-451))/(((-40)/(-110))/1). -15/2 What is 1050/126*(-336)/(-1400)? 2 What is (-4)/(3*42/(-5796))*1/(-2)? -92 What is ((-2)/(-7)*-20)/(15278/267365)? -100 Calculate (24*31/(-3224))/(27/(-6)). 2/39 Evaluate 24/(-46)*(-1)/(-2)*6195/(-12390). 3/23 ((-103)/(6798/77))/((-301)/(-3)) -1/86 What is the value of 10*(35/((-5775)/(-44)))/20? 2/15 What is the value of -180*(-259)/(-83916)*2/(-2)*-3? -5/3 Evaluate ((-2)/5)/(21/1435)*3996/888. -123 What is the value of (136/(-204))/((-56)/(-84))? -1 What is ((-198)/(-8))/(15/(-560)*-56)*4/(-6)? -11 ((-7)/3)/(85/((-29835)/234)) 7/2 Calculate 4*3/(-24)*1*7*(-150)/(-150). -7/2 77/(-22)*((-48)/(-15))/4*(-770)/1666 22/17 (3/(-9)*-3)/((1/3)/((-734)/(-58353))) 2/53 Calculate (7392/(-176))/(3/(4/4)). -14 What is the value of 1/(10/((-4)/(-2))*149424/13584)? 1/55 What is the value of (-54)/21*(-322)/552? 3/2 Calculate (-75)/2*(1010/5555)/(3/11). -25 Calculate 566/(-2547)*(-2871)/(-22). -29 (2/26)/(6/13)*-46 -23/3 Evaluate ((63/(-336))/((-18)/(-1)))/((-1094)/3282). 1/32 (-1808)/226*((-4)/(-2))/(-2)*39/(-2652) -2/17 What is (-47100)/2512*(-3)/45? 5/4 Calculate (-27)/(-57)*(-17974)/(-5676). 3/2 33/(-44)*(-368)/9*8/(96/(-18)) -46 What is the value of 35442/(-716)*(-16)/(-44)? -18 What is ((-18)/(-3))/(26/(-208))? -48 49*1269/(-1974)*4/(-6) 21 Calculate 27816/4941*((-81)/(-12))/9. 38/9 Calculate ((((-39)/(-3))/(-13))/(4/(-60)))/(6/10). 25 What is ((-14)/3)/((5588/(-330))/127)? 35 Calculate 280/(-49)*(-97944)/(-5830). -96 (-2)/136*(-7980)/3990 1/34 What is the value of 6*330/1232*14*(-6)/(-5)? 27 -2*6/276*1380/276 -5/23 What is (5/(-975))/((-291)/(-194)*1/(-9))? 2/65 1*(-14)/(-132)*(-52840)/(-92470) 2/33 What is the value of (54/(-8))/((-34)/((-10880)/48))? -45 What is the value of -1*(29/((-2552)/32)*7/(-7))/(-2)? 2/11 Evaluate ((-11322)/340)/37*12*(-20)/6. 36 Evaluate (3/(-9))/(60051/(-9738)). 2/37 Calculate (-2)/(259/222*1080/56)*10*-7. 56/9 (-24*66/8712)/(1/187) -34 What is the value of (-2)/131*-4*5/(-30)*276
{ "pile_set_name": "DM Mathematics" }
4. Is 0 at least as big as b? True Let t be (-3 - -2)*(-4)/(-4). Which is smaller: -3/14 or t? t Suppose l = -0 + 1. Let w = -4 - -2. Let b = w - -4. Do b and l have different values? True Suppose -t + 2 = -0*t. Suppose 5*g - 26 = -11. Let c = g - t. Is -2/5 > c? False Let j be 15/20 + 0 - (-1)/(-2). Let b be 3/12*(-10)/2. Is b > j? False Suppose 5*k + 17 + 23 = 0. Suppose -6 = -3*o - 24. Let r be o/k - (-26)/8. Is r < 2? False Let o = -97 + 52. Let n be (-12)/10*o/36. Is n greater than 2? False Let n = -0.6 - 0.4. Let g = 2/29535 + -561349/2717220. Let m = g - 1/23. Which is bigger: n or m? m Let x = -3/4 + 5/4. Which is smaller: 7 or x? x Suppose -4*j = -7*j + 6. Which is smaller: j or 10/7? 10/7 Let j be (-18)/(-20)*5820/(-16). Let b = j - -327. Is 1 >= b? True Let i = 1703/7866 + -11/171. Let a = i - 463/322. Is -1 > a? True Let s = 5 + -5.4. Let v = s - 0.6. Is -0.1 > v? True Let p be ((-5)/(-2) + -4)*(-4)/(-6). Let x be (-8)/6*3/(-14). Which is bigger: p or x? x Suppose 4*j + 2*r - 12 = -2*r, 2*j = -r + 7. Suppose 4*m = -5*a + 3 + 11, 3*m = 3. Suppose -i + 2*y = a*i + 7, -2 = j*i + y. Are -1/2 and i nonequal? True Let y be (-10)/1*(-4)/(-10). Let j(k) = 3*k + 3 - 2*k + 4. Let s be j(y). Which is bigger: 2 or s? s Suppose 3*v = v. Let l be 10/(-33) - 26/(-39). Is v bigger than l? False Suppose -5*t + 5 = -5*w, 2*t + 1 = w + 3. Let j = 100 - 699/7. Is w <= j? True Suppose -o = l + 5, 36 = -3*o - 3*l + 7*l. Is o bigger than -10? True Let x be (14/(-21))/(5/3). Which is bigger: x or -12? x Let r = 0.2 - -13.8. Let f = r + -16. Which is smaller: 2 or f? f Let y = 88 - -7. Let v be 1/4 - y/(-20). Let b = 1 - v. Which is bigger: -3 or b? -3 Let r be 1*3/(0 + -3). Which is bigger: r or 2/15? 2/15 Let v = -24 + 24.1. Is 5/7 less than v? False Let x(m) = 6*m**2 - 3*m. Let h be x(2). Let p = h - 10. Suppose p*j + 8 = 3*j - o, 4*j = 3*o + 5. Is j at most 1/3? True Let l(d) = d. Let u be l(5). Suppose 0*w - u*w - 55 = 0. Which is smaller: -12 or w? -12 Suppose 3*w - 4 = -2*z + 5*w, 0 = 2*z + 5*w - 32. Let c be -1 - (-2)/(z/9). Let k = 2 - c. Which is greater: -2/11 or k? k Let w be (0 - -2)*(-11)/2. Let t = 15 + w. Suppose 4*q - t = -0*q. Is q less than 3/7? False Let d = 17/57 + -2171/399. Which is smaller: d or -6? -6 Suppose -2*p + v = 4*v + 11, -3*p = -2*v - 16. Let j = -5 - -6. Let s be (j/(-2))/(3/(-18)). Is s bigger than p? True Suppose 0 = b + 2*b + 12, 5*w = -4*b - 16. Suppose w = -3*z - z + 36. Let f = z - 4. Is f bigger than 3? True Let l be (-4)/(-18) + 4/(-18). Let o(q) be the third derivative of -q**5/60 - q**4/24 - q**3/6 + q**2. Let s be o(l). Do s and 1/9 have different values? True Let s = 83 + -84. Is s at least 2/81? False Let c = 82 + -84.8. Which is smaller: 0.1 or c? c Let a be (255/(-102))/(5/4). Let u be 2/1 - (2 - -3). Is u greater than or equal to a? False Let p be (-6)/((-2)/2 - -3). Let a be 2/p*(-3)/(-4). Is 0.2 greater than or equal to a? True Let j = 0.1 - 0.35. Let m = -0.3 - -0.35. Let f = m - j. Which is bigger: f or 1? 1 Suppose p = -2*s + 10, 3*s - 2*p - 26 = 2*p. Is s at least 1? True Let b = 244 + -244. Let z = -39/9707 + 34557427/126191. Let n = -274 + z. Is b >= n? True Let n(h) = -h - 10. Let k(i) = -i**3 - 10*i**2 + i. Let m be k(-10). Let j be n(m). Is j smaller than -1/2? False Let v(j) = j - 4. Let h be v(5). Let o = 17.3 - 15.3. Which is greater: o or h? o Let g(p) = -5*p**2 + p + 3. Let b be g(-2). Which is bigger: b or -18? -18 Suppose 2*f = z + 4*z + 24, z + 2 = -f. Let w be (4/(-3))/(2/6). Is w not equal to z? False Let z = 0.6 - 1.3. Let n = 16 + -15.5. Let d = z + n. Is d < -1? False Let r = 88097811/1549 - 56874. Let k = r - -661498/7745. Let i = k - 85. Are i and -1 unequal? True Let l be (-1)/(-36) + (-6 - -4). Let p = -7/4 - l. Let s be 0/1 - 1*-1. Is p > s? False Let d(z) be the third derivative of z**5/60 + z**3/3 - 4*z**2. Let g be d(3). Which is smaller: g or 10? 10 Let h be 73/(-3)*3/2. Let z = -35 - h. Suppose 6 = 7*a - 1. Is a at least z? False Let h = 25 - 22. Suppose -r + h = 5. Are r and -2 nonequal? False Let l(d) = -d**3 - 6*d**2 - 4*d + 5. Let c be l(-5). Suppose c = 5*j + 4 + 6. Which is smaller: j or -3? -3 Let c(d) = -d**2 - 6*d - 5. Let x = -14 - -11. Let z be c(x). Are z and 4 equal? True Suppose 0 = -7*g + 2*g - 45. Let f = g + 7. Suppose a = -2 - 0. Is f at least a? True Let z be 45/10*(-20)/6. Let q = 44/3 + z. Are q and 1 non-equal? True Suppose -t + 4 = -4*h, -3*h = -4*t - t + 3. Let b = -54/49 - -2204/1911. Which is greater: b or h? b Suppose 4*m = -4*c - 4, 0*c - 3*c + 5*m + 5 = 0. Is -4 != c? True Let g = 9 - 2. Let z = g + -5. Let o = -4 + z. Which is smaller: -1 or o? o Let o = 0 - -10. Let b be o/(-8)*(-10)/(-15). Suppose -3*t = -t. Is t not equal to b? True Suppose 5*r - 14 = -4. Which is bigger: 5/3 or r? r Let g be ((-16)/6)/(1/(-3)). Let z(s) = -14*s - 16 + 2*s**2 + 2*s**2 - s**3 + 7*s**2 + 2*s**3. Let b be z(-12). Is b > g? False Let q(s) = -4*s - 5. Let i be q(-3). Let a = -9 + i. Let n = 2 + -5/2. Which is greater: n or a? n Suppose 0 = t - 0*t. Suppose m - 5*i = 8, t + 1 = -m - 4*i. Let f = 5 - m. Is f smaller than 1? False Let r = 7 - -1. Let u = r + -10. Let a(p) = p + 3. Let q be a(-6). Which is smaller: q or u? q Let u be (5/1)/(1 - 0). Suppose -3*d - 17 = u*o - 0*o, -17 = 4*d + o. Let b be (-1)/6*6/d. Which is greater: b or -0.1? b Let k(x) = x**2 + 5*x + 2. Let w be k(-5). Let u be ((-6)/(-8))/(w/(-8)). Let t be u/(-2)*4/(-3). Are t and -2 unequal? False Suppose 0 = -5*j + 2*t + 18 + 68, 4*j + t - 61 = 0. Suppose r - 5*r = -j. Which is greater: 5 or r? 5 Suppose 0 = -o + 4*o + r - 8, -2*r = -2*o - 8. Which is smaller: 0 or o? 0 Let y = 7.02 - 0.02. Let x = y - 6.8. Are x and 2/3 equal? False Suppose 0 = -4*x + 3*x + 14. Suppose -11*b = -x*b. Which is greater: -2/23 or b? b Let l be 6/(-4) - (-186)/12. Which is smaller: 11 or l? 11 Let l = -5 - -2. Is l greater than or equal to -3? True Let p be 1 + 2*(-971)/9. Let q be 215/(-3)*(1 - -2). Let r = q - p. Is r bigger than 1? False Let t = 5 - 2. Suppose n + 5 = 0, -3*n = -5*y - 4*n + 10. Suppose -1 - 11 = -y*q. Which is greater: t or q? q Let k = -0.06 + -0.52. Let r = k + 0.6. Are r and -2/9 unequal? True Let h = -0.04 - -0.04. Let y = 0.1 - h. Is 0.3 <= y? False Let p = -11 - -5. Let z = 5 + p. Does z = 0? False Let q be (-10)/848 - (-2)/16. Which is smaller: q or 0? 0 Let j be 10/16*2/5. Let s = 6.1 + 0.9. Which is smaller: j or s? j Let d = 8 + -13. Let m = 5 + d. Let z = 4.02 + -0.02. Is z at most as big as m? False Suppose -4*o = -10 - 2. Which is smaller: -1 or o? -1 Let u = 5.04 + -0.04. Let i = u - 6. Is 0 smaller than i? False Suppose x = -1 + 4. Are x and 5 nonequal? True Let w = -7 - 1. Let l = 20 - 27. Which is greater: w or l? l Suppose -3*a + 10 = 2*w - a, 4*w - 4*a + 12 = 0. Suppose -12 = -3*c - c. Let o be c/(w - 1/(-2)). Is 1 >= o? False Let q = 13/109 + -4931/218. Let w = -22 - q. Is w less than or equal to 2? True Suppose 5*n + 2*v + 21 = -v, -v + 4 = -2*n. Which is smaller: n or -8/3? n Let w(t) = -t + 3. Let v be w(4). Let c = -7 + -1. Let x be (c/4)/(19*1). Which is smaller: v or x? v Suppose -4*o - u + 5 = -4, 3 = 3*o - 3*u. Let s be -6*((-76)/(-40) - o). Suppose -6*w = -w. Which is bigger: s or w? s Let m = -4 - -6. Let a = 27 + -46. Let j = -15 - a. Is m at least as big as j? False Let m be (2/6)/((-77)/(-66)). Let f be (-3)/12 + (-1)/(-4). Are m and f equal? False Suppose 3*y - x - 4 = 12, -x - 4 = 0. Is 3 less than or equal to y? True Let s(t) = 3*t**2 - 10*t - 16. Let b(u) = -2*u**2 + 7*u + 11. Let y(q) = -8*b(q) - 5*s(q). Let p be y(7). Is p greater than -1? False Let n be 4/(-339)*9*(-4)/(-24). Do n and -1 have the same value? False Let y = 49/272 - 2/17. Let q = y + 7/16. Are -0.1 and q equal? False Let n(u) = -u - 4*u - 8 + 4*u + 2*u. Let p be n(5). Is p at most -6? False Let g be 7/5*1 + -1. Let f be (-2)/(-8)*(-3 - -1). Is g less than or equal to f? False Suppose -3*i + 12 = -6*i. Let c = -28/93 - 1/31. Which is bigger: i or c? c Let u be 2/(-8) + (-776840)/(-3104). Let m = 250 - u. Which is smaller: m or 0? m Suppose -3*c = 4*b + 4 + 10, -3*c + b - 4 = 0. Let t = 124 + -124. Which is smaller: c or t? c Suppose 4*k - 3*k + 24 = 0. Let t be 18/k - (-2 + 2). Is t grea
{ "pile_set_name": "DM Mathematics" }
11? False Let g(b) = -b**2 - 2*b + 7. Let y be g(-3). Suppose 2*c - p = 4*p + 431, 2*c = -y*p + 422. Does 13 divide c? False Is 9 a factor of ((-9648)/192)/(105/36 + -3)? True Let o(r) = -2*r**3 - 3*r**2 - 9*r - 15. Is o(-7) a multiple of 5? False Let g = 86 + -167. Let d = g + 141. Does 20 divide d? True Suppose -6000 = 43*p - 53*p. Does 50 divide p? True Let p(d) = d**3 + 10*d**2 + 17*d + 11. Let w be p(-8). Suppose -w*z + 21 = u, -4*z = 2*u - 30 - 12. Is 9 a factor of u? False Let p be (-51)/(-4) - 4/(-16). Let h(f) be the third derivative of f**6/120 - 7*f**5/30 + 7*f**4/12 - f**3/6 - 5*f**2. Is h(p) a multiple of 5? False Suppose 0 = 15*g - g - 1680. Is 15 a factor of g? True Let m(y) = y - 7*y - 5 + 4*y + y. Let j be m(-5). Suppose -75 = -j*l - 3*l. Does 10 divide l? False Let x be 30/9 - 4/(-6). Suppose 0 = 2*z - f - 36 + 13, -2*z - x*f + 38 = 0. Is z a multiple of 13? True Let w(p) = -p + 1. Suppose -4*t - 5 = -t - 2*q, -3*t = -5*q + 17. Let f be w(t). Suppose f = -5*h - 2*k + 30, -2*h - k + 12 = -3*k. Is h a multiple of 3? True Suppose 225 + 201 = 3*w. Does 9 divide w? False Let x(v) = 5*v. Let w(s) = s + 5. Let f be w(-4). Let h be x(f). Suppose h*u = 7*u - 30. Is u a multiple of 5? True Let t be 9 + 0 - (-1 + 4). Suppose -1860 + 408 = -t*w. Does 13 divide w? False Suppose 678*y - 22134 = 664*y. Is 93 a factor of y? True Suppose 8*r - 2 - 22 = 0. Suppose -2*c + r*l + 16 = 0, 0*c - 3*c + 3*l + 27 = 0. Is 5 a factor of c? False Let g be (4/(-12))/(1/12). Let r be -3*((2 - 0) + -1). Is 17 - (g - -3)*r a multiple of 7? True Let q = 27 - 22. Suppose 0 = 2*x - q*x + 90. Does 15 divide x? True Is (-25)/(150/24)*(-839)/2 a multiple of 14? False Suppose 33 = 5*t - 17. Suppose 2*m = -4*s + t, s - 5*m - 35 = -s. Suppose s*h = 21 + 4. Does 4 divide h? False Let o(l) = 0*l + 0*l + l**2 + 3*l - 2*l**2. Let w be o(3). Suppose -5*y + 23 + 15 = 3*p, w = 5*p + 3*y - 74. Is p a multiple of 16? True Suppose 92 = -4*l + 2*s, -3*l - s - 62 = 2. Let a = l - -61. Suppose -5*k + 2*k + 3*p + 63 = 0, -2*k + p = -a. Is k a multiple of 9? True Let y = 1746 + -1381. Is y a multiple of 2? False Suppose -2*y + 1488 = x, 7*y = 8*y - 2*x - 744. Is 31 a factor of y? True Let y = -8 - -11. Is 29 a factor of 24 + 21/y + -2? True Let o(h) = h**2 - 19*h - 7. Let j = 33 - 24. Let c be o(j). Let q = -3 - c. Does 27 divide q? False Suppose 1494 = 3*g + o, 5*g - 9*o = -14*o + 2480. Is 19 a factor of g? False Suppose 0 = 5*q - 2*q - 6. Suppose -p = -q - 0. Suppose -3*g + 3*v + 0*v + 27 = 0, p*v = 5*g - 30. Is g a multiple of 4? True Is (-4)/72*4 + 12318/27 a multiple of 24? True Suppose 5*r - m = -3*m + 104, -m = r - 19. Let q be -13*(-4)/(-2*2). Let k = r + q. Is 7 a factor of k? False Suppose -21*t = -49*t + 3024. Does 3 divide t? True Suppose -m + 2 = -0*m. Let a(w) = 42*w**3 - 3*w + 2. Let h be a(m). Suppose -h = -5*s - 62. Does 18 divide s? True Suppose 17*d - 14*d - 1277 = -2*s, 0 = -4*s - 20. Does 41 divide d? False Suppose 5*u - 16 = -s, -6*u = -3*s - 2*u + 48. Does 3 divide 9 + -9 + s/1? False Suppose 0*m + 18 = 2*m. Let y(z) = z**2 - 9*z + 2. Let v be y(m). Let c = v + 4. Is c a multiple of 2? True Let n(o) = -2*o + 17 + 5 + 0*o - 3*o. Let m be n(-7). Let g = -36 + m. Is 21 a factor of g? True Suppose -7*j + 108 + 172 = 0. Is 8 a factor of j? True Let l be (4/(-8))/((-1)/(-198)). Is (l/22)/((-2)/12) a multiple of 4? False Let y(d) = d**3 - 3*d**2 - 7*d + 8. Let f be y(4). Let p = 2 - f. Is p/(-5)*100/(-6) a multiple of 16? False Let n be -304 - 7 - (-5)/(10/(-8)). Let m = n - -543. Does 57 divide m? True Suppose i + i + 486 = 0. Let b = 407 + i. Is b a multiple of 41? True Let s = -126 + 209. Suppose -4*w = -w - 4*a - s, -3*w = -5*a - 85. Let m = 73 - w. Is 16 a factor of m? True Suppose 0 = t - 4*w - 14 - 4, -12 = 3*w. Suppose -t*g + 17 = -33. Is g a multiple of 4? False Let d = 38 + -38. Suppose z + d*z = 24. Does 6 divide z? True Suppose 5*c + 1001 = 3*i, -4*c + 183 + 128 = i. Is 44 a factor of i? False Let y(x) = -x**3 - 2*x**2 + 3. Suppose -6*q = -3*q + 27. Let z = 6 + q. Does 12 divide y(z)? True Let z be (-1 + -3731)*72/108. Is 14 a factor of ((-18)/8)/(-6 - z/416)? False Suppose 4*x + l - 20 = -0*x, 4*l + 20 = 4*x. Suppose 2*b - 17 = j, x*b + j - 40 = 13. Is (b/(-4) - -2)*-36 a multiple of 3? True Let j = 71 + -68. Suppose 0 = w - j*u + 5*u - 14, 4*w - 56 = -5*u. Is w a multiple of 7? True Suppose 188 = 7*t - 589. Is t a multiple of 37? True Let c = 11 + -7. Suppose c*u + 3*b - 262 = -u, 2*b + 192 = 4*u. Is u a multiple of 10? True Let d(g) = 3*g - 5. Let a be 2*(-3 + (-39)/(-6)). Let m = a + 0. Is 10 a factor of d(m)? False Is 11 a factor of 9 + 2/(-1) + 1 + 260? False Let b = -25 - -53. Suppose l - b = 28. Does 14 divide l? True Let i(h) = h**3 + 5*h**2 + h - 2. Let g be i(-2). Let l = 26 - g. Suppose 0 = -2*c + l + 132. Is c a multiple of 32? False Let m = 5 + -27. Suppose 3*f - 84 = 5*a, 5*f - 4*a = 3*f + 54. Is (m/f)/(2/(-183)) a multiple of 27? False Let w(v) = -v**3 + 5*v**2 - 7*v - 1. Suppose -4*t + 0 = -16. Let p be w(t). Let a(c) = -c**2 - 19*c - 10. Is 17 a factor of a(p)? True Let q = -42 - -46. Suppose m = -0*l - l + 17, 5*m - 94 = q*l. Is 18 a factor of m? True Is 27905/30 + (-1 - (-25)/30) a multiple of 10? True Let i = 709 - 321. Suppose 6*y - y - 5*p - 455 = 0, 0 = -4*y - 2*p + i. Is y a multiple of 20? False Let n be 27/18 + 1022/4. Suppose -289 = -2*o + n. Is 39 a factor of o? True Suppose 5*r - 270 = -0. Suppose 0*a + 3*a + r = -4*n, a - 62 = 4*n. Let m = 25 + n. Is m a multiple of 3? False Let l(c) = -4 + 3 - 70*c + 4. Is l(-2) a multiple of 22? False Let r(m) = -30*m**2 + 5. Let u(d) = d**2 - d + 1. Let f(g) = -r(g) + 3*u(g). Is f(-1) a multiple of 17? True Let f(g) = -2*g**2 - 29*g - 20. Is 14 a factor of f(-8)? True Let j = -10 + -4. Let w be -7*(5 + (-425)/35). Let h = w + j. Does 18 divide h? True Does 16 divide (1 - -288)*102/51? False Suppose -4*d + 0*p + p = 15, -5 = 5*p. Suppose -11*n = -5*n + 210. Is 6 a factor of (-7 + 3)/d - n? True Suppose 1186 = 2*b - 6*n + 5*n, -5*n = -b + 584. Is 18 a factor of b? True Let f(t) = t - 5. Let y(q) = 10*q + 1. Let i be y(2). Let d = i + -6. Is f(d) a multiple of 8? False Let i be 4 + (-1)/((-3)/9). Let f be (-328)/32*(-1 - i). Let h = f - -13. Is 30 a factor of h? False Let a(y) = 383*y**2. Let c be a(-1). Let w be ((-7)/(-7))/((-12)/16 + 1). Suppose 2*t = 4*t + 2*q - 174, w*t = 3*q + c. Is t a multiple of 15? False Let l(r) = -r**3 - 10*r**2 + 11*r + 16. Let k be ((-2 - -2) + -1)*11. Is l(k) even? True Let c be (-14)/4 - (-24)/16. Is 4 a factor of (c + 0)*(-91)/14? False Let d(w) = -2*w**2 + 12*w - 7. Let z(f) = 6*f**2 - 36*f + 21. Let k(l) = 8*d(l) + 3*z(l). Is k(8) a multiple of 13? True Suppose 22*y = 7*y + 990. Is y a multiple of 3? True Suppose 0 = -3*j + 1 + 29. Let n be (6/j)/((-2)/(-230)). Does 21 divide (4 - n/12)*-36? True Let f = -19 - -26. Suppose -2*i + f*i = 100. Does 10 divide i? True Let i = -2227 - -3339. Does 42 divide i? False Suppose -o = -5, 0 = 6*a - 3*a - 3*o + 9. Suppose 0 = -0*t + 3*t - 12, a*t = -y + 10. Suppose -y*r - 5*h = -55, r - 25 = -4*h + 2*h. Is 5 a factor of r? True Let x(m) = -311*m**3 + m**2 + 3*m + 3. Is 52 a factor of x(-1)? True Suppose -4*x = -0*x + g - 11, -5*x = g - 15. Suppose 2*h = -2*h + x*p + 176, 2*h + 5*p = 123. Is 10 a factor of h? False Suppose 5*d + 2845 = 5*x + 6*d, d + 5 = 0. Does 33 divide x? False Suppose 3*r - 18 = -4*v - 0*r, 0 = -4*v - 5*r + 14. Suppose -k + v = k. Suppose -17 - 4 = -k*q. Is q a multiple of 7? True Suppose 5*a + h + 603 = 0, -a + 4*h = -5*a - 492. Let v = a - -171. Does 17 divide v? True Suppose -107*i + 105*i = 6. Let h be 1/4*9*4. Let j = h + i. Is j a multiple of 3? True Let q(w) = 0*w - 5 - 84*w**2 - 13 + w + 85*w**2. Is q(-9) a multiple of 3? True Suppose -g + 12 = -4*x - 7, -x - 5 = 0. Let y = g - -20. Is y/((0 - 1)*-1) a multiple of 8? False Let z = 1226 + 496. Suppose 5*x - z = -312. Does 43 divide x? False Let l(a) = -2*a - 16. Let d be l(-10). Suppose 0 = -0*i + 5*i + 5*p - 535, -d*p = -5*i + 508. Is i a multiple of 26? True Let q(x) = -x**3 - x**2 - 4*x - 3. Let d be q(-2). Suppose d = 2*s + m - 2, s - 2 = -4*m. Does 13 divide 2/s + (-116)/(-3)? True Suppose 91 = -3*k + 901. Does 11 divide k? False Le
{ "pile_set_name": "DM Mathematics" }
3*k**5 - 3*k**5. 5*k**5 + 6*k**2 Expand 2*s**5 + s**5 - 5*s**5 + (0*s**4 + s**4 + 2*s**4)*(-8 - s + 8) - 3*s**4 + 3*s**4 + s**5. -4*s**5 Expand (-2*a**3 + 2*a**3 + a**3)*(-a**2 - 2 + 2) - 2*a**5 - 2*a**5 + a**5 + 0*a**3 + a**5 + 0*a**3. -3*a**5 Expand (2*c**2 + 0*c + 0*c)*(-25 + 25 + 25*c**3). 50*c**5 Expand (79*l**4 + 18*l**3 - 52*l**4 - 31*l**4)*(3*l - l + 0*l). -8*l**5 + 36*l**4 Expand (-5 - 9 - 2 - 1 + 2 + 1 + (4 - 4 - 2)*(4 - 4 + 1))*(3*t**3 - 5*t**3 + 3*t**3). -16*t**3 Expand (u**3 + 2*u**2 - 2*u**2)*(-19 - 4 + 1). -22*u**3 Expand (-3*h - 2*h - 2*h**3 + 6*h)*(-13 + 6 + 6). 2*h**3 - h Expand (-x + 2*x - 2*x)*(87*x**3 + 5*x**4 - x**2 - 87*x**3). -5*x**5 + x**3 Expand -m**3 - 2*m - 2*m**3 + 4*m**3 + (3*m - 7*m + 2*m)*(-5*m + 5*m - 6*m**2). 13*m**3 - 2*m Expand (-2*k + 0 - 2 + 0*k)*(7*k - 7*k - 56*k**2)*(-k**2 + 2*k**2 + k**2). 224*k**5 + 224*k**4 Expand (7*x - x + 3*x + (1 - 1 - 2)*(2*x + 2*x - 3*x))*(-3 - 4 + 5). -14*x Expand 0*v + 0*v + v + (-2 + 1 + 3 - v)*(-1 - 2 + 2). 2*v - 2 Expand (-2*a - 3*a + 3*a)*(-2*a**4 + 7*a**4 - 3*a**4) + 73*a**3 - 4*a**4 + a**5 - 73*a**3. -3*a**5 - 4*a**4 Expand 5 - 5 - 2*u + (3 - 3 - 2)*(3 - 2*u - 3) + u + 3*u - 2*u. 4*u Expand (-b + 0*b + 3*b)*(-31*b**2 - 2*b**2 - 8*b**2)*(-2*b**2 + 2*b**2 - b**2). 82*b**5 Expand (2*h**2 - 2 + 2)*(h**2 - h**2 + h**2) + h**4 - 71*h - 25 + 71*h. 3*h**4 - 25 Expand (-w + 4 - 4*w + 6*w)*(-2*w + 1 - 1). -2*w**2 - 8*w Expand (4 + 0 - 2)*(-15 + 14*o + 15). 28*o Expand (7 - 6 + 7)*(-3 + l + 3). 8*l Expand (-a - 1 + 1)*(-12 + 12 + 2*a)*(a**3 + 2 - 2) + 0*a**4 - 2*a**5 + 0*a**4. -4*a**5 Expand (2 - 36*p + 19*p + 11*p)*(-3*p - p**2 + 3*p). 6*p**3 - 2*p**2 Expand b + 0*b - 4*b + (-3 - 3 + 4)*(-2 - 2*b + 2) - 2 + 2*b + 2 + 2*b + b - 4*b - 3*b - 4*b + 6*b - 5*b - b + 3*b. -2*b Expand (142*o - 177*o + 80*o)*(4 - 6 + 3). 45*o Expand (3*g - 20*g - 2*g)*((3 + 0 - 2)*(-g - 5*g + 4*g) + g + 4*g - 4*g). 19*g**2 Expand (1 - 1 - h**2)*(-22 + h + 22) + 0 + 0 - 2*h**3 + (0*h + 0*h + 2*h**2)*(-5*h + 5*h - 2*h). -7*h**3 Expand (-59 + 59 - 18*w**2)*(3*w + 5 - 5). -54*w**3 Expand (0 - 4 + 3)*(5*g - 3*g + 0*g)*(3 - 2 + 1). -4*g Expand (-2*c**3 + 2*c**3 + 2*c**4)*(5 - 1 - 2) - c**4 + 0*c**3 + 0*c**3. 3*c**4 Expand (3*d + 0 + 0 - 8*d + 4*d - 4*d + (-2 + 2 - d)*(-4 + 0 + 5))*(d - 2 + 2). -6*d**2 Expand (-14*q**2 + 3*q**2 - q**2)*(q**2 + 3*q**2 - 3*q**2) - 2*q**2 - 2*q**4 + 2*q**2 + (2*q**4 - q**4 + q**4)*(1 - 5 + 2). -18*q**4 Expand 0*v + v + v + (-3 + 3 + 2)*(-7*v - 8*v + 5*v) + (0 + 0 + 2)*(2*v - 5*v + v). -22*v Expand (-u**4 + 4*u**4 + 4*u**4 + 2*u**4 + 2*u**4 - 5*u**4 + (0 + 0 - 2*u)*(u - u**3 - u) - 3*u**4 + 2*u**4 + 3*u**4)*(3 - 3 - 2*u)*(-2 - 1 + 4). -20*u**5 Expand 4*q**3 - 4*q**3 + 2*q**3 + q**3 + 2*q**3 + 12*q**3 + (q**3 - 2 + 2)*(-2 + 1 + 3). 19*q**3 Expand (0*u**3 + 0*u**3 + 5*u**5)*(-1 + 3 + 0)*(1 - 4 + 2)*(0 - 3 + 1). 20*u**5 Expand 5*x - 5*x + 2*x**4 + 6 + (-x**3 + x**4 + x**3)*(-5 - 1 + 5) - 4*x**4 + x**4 + 2*x**4 - 2*x**4 + 3*x**4 - 3*x**4. -2*x**4 + 6 Expand (0 + 0 - 2)*(2*u - 4 + 4)*(-208 + 3*u + 208). -12*u**2 Expand (b + 4 - 4)*(-5*b + 8*b + b + (-4*b + b + 2*b)*(-2 - 4 + 3))*(-2 + 2 + 1)*(-2 - 2 + 1). -21*b**2 Expand (-3*z + 4*z + 4*z)*(-3*z + 4*z - 3*z) + (z - 3*z + 3*z)*(0*z - 3*z + 5*z). -8*z**2 Expand (-2*h**4 + 2*h**4 - 2*h**4)*(h - h - 8*h). 16*h**5 Expand -p**5 - 2*p**3 + 2*p**3 + (p**3 - p**3 + 3*p**3)*(0*p**2 + 3*p**2 - 4*p + 6*p - 3). 8*p**5 + 6*p**4 - 9*p**3 Expand -q**2 + q**2 - 2*q**3 + (8*q**2 - 10*q**2 + q**2)*(2*q + 0*q + 0*q). -4*q**3 Expand (-1 + 1 + 3)*(j**3 + 3*j**3 - 6*j**3)*(-j**2 + 2*j**2 - 3*j**2)*(0 + 1 - 3). -24*j**5 Expand ((4 + 11 + 5)*(2 + 5 - 5) + 1 + 5 - 5)*(-w + w - 2*w**2). -82*w**2 Expand (0*n + n - 4*n)*(-4*n + 0*n + 5*n) + n**2 + 0*n + 0*n. -2*n**2 Expand (-1 + 3 + 2)*(-7*h - 5*h**2 + 7*h). -20*h**2 Expand -2*d**4 - 1 + 1 - 3*d**4 + d**4 + 4*d**4 + (4*d - d - 2*d)*(d - d**3 - d). -d**4 Expand (1 + 0 - 3)*(6 - 2 - 2)*(-4*h - 10*h + 4*h). 40*h Expand (-2*k**3 + k**2 - k**2)*(-3 - 2 + 1)*(-1 + 0 + 0)*(-45 + 16 + 2). 216*k**3 Expand (-4*r**2 + 4 - 4)*(3 - 2*r - 3) - 5*r**3 + 0*r**3 + 6*r**3. 9*r**3 Expand (1 - 1 - a**2)*(-2*a + 0 + 0) + (0*a**2 + 0*a**2 + a**2)*(-2*a - a + 2*a) + 2*a**3 + 2*a**3 - 2*a**3. 3*a**3 Expand a**3 + 2*a**3 - a**3 + (4*a - 5*a + 2*a)*(-5 + 5 + 4*a**2) - a**3 + 2*a**3 - 3*a**3. 4*a**3 Expand (-16 + 16 + g**5)*(-1 + 2 + 3). 4*g**5 Expand (11*x - x - 6*x)*(-3 + 3 + x)*(-2 - 2 + 3). -4*x**2 Expand 4*w - 2*w - 4*w + (0 + 2 - 1)*(4*w + w - 4*w) + (0 + 1 - 3)*(3*w - 2*w + 0*w). -3*w Expand (-10 + 5 - 5)*(2*g**2 + 4*g**2 - 4*g**2). -20*g**2 Expand g**5 + 0*g**4 + 0*g**4 + g**4 + g**5 - g**4 - g**5 + 2 - 2 + (0 + 0 + g**3)*(-3 + 3 - g**2) + 0*g - 2*g**5 + 0*g + 0*g**4 - 2*g**4 - 6*g**5 + 0*g**4. -8*g**5 - 2*g**4 Expand (-3*n + 0*n + 2*n + (0 - 1 + 3)*(n + 1 - 1))*(4*n**4 + 7*n**4 - 3*n**4). 8*n**5 Expand (-1 + 1 + 2*n)*(-4*n**2 + n**2 + 0*n**2) + 13*n - 8*n**3 - 13*n. -14*n**3 Expand (4*o - 4 + 4)*(2*o + 2*o - 2*o) + 4*o**2 + 4*o**2 - 2*o**2. 14*o**2 Expand (y**3 + 2*y**3 - 4*y**3)*(-1 - y**2 + 1) - 2*y**5 + y**5 + 0*y**5 + (1 - 2 - 1)*(-1 - 2*y**5 + 1) + 4*y**5 - 2*y**5 - y**5. 5*y**5 Expand (-3*t + t + 5*t)*(1 + 1 - 1) + 3 - 3 - 2*t + 0*t - t - t + (3*t + t - 2*t)*(-1 + 6 - 3). 3*t Expand -3*t**5 + t**5 + t**5 + 0*t**5 - 5*t**5 + 2*t**5 + (-2*t**2 + t**3 + 2*t**2)*(t**2 + t**2 - 4*t**2) + 3*t**2 - t**5 - 3*t**2. -7*t**5 Expand (-b**2 + 3 - 3)*(-24*b**2 + 11*b + 25*b**2 + 0*b). -b**4 - 11*b**3 Expand ((-7*y**2 + 4*y**2 + 4*y**2)*(2 + 0 - 4) - 2*y**2 + 2*y**2 - 2*y**2)*(y**2 - 4*y**2 - 3*y**2). 24*y**4 Expand (2*r - 1 + 1)*(-3*r**2 + 6*r**2 + 5*r**2) + (r + r - 3*r)*(0 - 2*r**2 + 0). 18*r**3 Expand (-w**2 + 0*w**2 + 2*w**2)*(590*w**2 + 3*w - 2*w - 592*w**2 + 32). -2*w**4 + w**3 + 32*w**2 Expand (6 - 4 - 3 - r)*(0 - 2 + 0 + (-3 + 2 - 1)*(3 - 1 + 0)). 6*r + 6 Expand 9*s**3 - 5*s**3 - s**3 + (2 + 2*s - 2)*(6*s**2 - 2*s**2 - 2*s**2) - 2*s**3 + 3*s**3 - 2*s**3. 6*s**3 Expand (-w - 5 + 5)*(-w**4 + 3*w**4 - 3*w**4) + 6*w + 13*w**5 - 6*w - 3*w**5 - 5*w + 5*w. 11*w**5 Expand (-3*k**2 + 7 - 7)*(2*k + 4 + 0*k - 1). -6*k**3 - 9*k**2 Expand (4 - 5 + 0)*(1 + 1 - 1)*(3*j**3 + 0*j**3 - 4*j**3). j**3 Expand ((0 - 1 + 0)*(-3 - 3 + 4) + 2 + 1 + 2)*(0*q - 6*q - q). -49*q Expand (3 + 2*y**3 - 3)*(-3 + 2 + 0)*(1 + 1 - 1). -2*y**3 Expand (2*i + 0*i - 4*i)*(5 - 4 + 2) + (6 - 5 + 1)*(-2 - i - 3*i + 0*i). -14*i - 4 Expand (-4*m**4 + 2*m**4 - 4*m**4)*(2 - 1 + 1). -12*m**4 Expand (-2*g**2 + 0*g**2 - g**2)*(-5 + 6 + 3). -12*g**2 Expand (0*y + 0*y - 2*y**4)*(5 - 2 - 1) - 2*y**2 + 2*y**2 + y**4 - 2*y**3 + y**4 + 2*y**3 + (4*y**4 - 5*y**4 + 2*y**4)*(3 + 2 - 1). 2*y**4 Expand (10 - 7*t**2 + 10*t**2 - 2*t**2)*(3*t + 0*t + 0*t). 3*t**3 + 30*t Expand -7*a**2 - 12*a**2 + 12*a**2 + (-2*a - a + 4*a)*(-5*a + 4*a - 2*a). -10*a**2 Expand (1 - 1 + o)*(0*o + 3*o - o) + 6*o**2 - o**2 - 4*o**2 + 3*o**2 + o**2 - o**2 + (o - 1 + 1)*(2 - 2 + 2*o). 8*o**2 Expand (1 - 2*z**2 - 4 + 5 + 3*z)*(5 - 5 - 3*z + 3*z + 0*z - 5*z - z + z + 2*z - 2 + 2 - 2*z + (3*z - 3*z + z)*(3 - 6 + 1) + 2*z - 2*z - 2*z). 18*z**3 - 27*z**2 - 18*z Expand -2*h**5 - 2*h**5 + 3*h**5 + (h**3 - 3*h**3 + h**3)*(-h**2 - h**2 + 3*h**2). -2*h**5 Expand -5*b**5 - b**5 + 3*b**5 + (-b**3 + b**3 + b**4)*(b + 2 - 2). -2*b**5 Expand -c + 3 - 3 + (-c - 5 + 5)*(-3 + 3 - 1)*(-1 + 2 - 4). -4*c Expand (1 + 2*d**2 - 1)*(7 - 7 - 13*d**3). -26*d**5 Expand (-d + d + 2*d)*(1 - 5 + 3)*(-3 + 3 + d)*(6*d**3 + 10*d**3 - 6*d**3). -20*d**5 Expand (3*t - 3*t + 3*t)*(32 + 3*t**4 - 32 - t**3). 9*t**5 - 3*t**4 Expand -38*n**5 + 14*n**5 - 46*n**5 + (-n**2 + 3*n**2 + 0*n**2)*(-5*n**3 - n**3 + 4*n**3). -74*n**5 Expand 3*t**2 - 4*t + 4*t - t**2 + 0*t**2 + 3*t**2 + (2 - 2*t - 2)*(0 + 0 + 4*t) + 2*t**2 + 3*t - 3*t. -t**2 Expand 3*u - u - 4*u + (-2 + 2 + u)*(-1 + 1 + 1) - 1 + 1 + 3*u + (0 + 2 + 0)*(-u + 0*u + 0*u + (-3 - 3 + 7)*(4*u - 4*u - u) - 3 + 3 - u - 4*u + 2*u - u). -10*u Expand (12 - 12 + 25)*(-2 - 2*u**4 + u**3 + 2). -50*u**4 + 25*u**3 Expand (-2*q + 3*q + 0*q)*((1 - 1 + 2)*(-1 + 7 - 1) + (-5 - 1 + 4)*(1 - 5 + 3) + 1 - 5 + 2). 10*q Expand (0 + 3 - 1)*(-1 + 1 - 2*a) - 2*a - 3*a - a - 2 + 3*a + 2. -7*a Expand (-a**4 - 3 + 3)*(2 - 10 + 10). -2*a**4 Expand -3*o**2 + 3*o - 3*o + 3*o**3 + (0*o - 3*o + 2*o)*(-6 + 6 - 6*o**2). 9*o**3 - 3*o**2 Expan
{ "pile_set_name": "DM Mathematics" }
+ 1964? 1972 In base 5, what is -2 - 1122233? -1122240 In base 10, what is 8 - 4126? -4118 In base 9, what is -48754 - -4? -48750 In base 16, what is -89 - 2da? -363 In base 15, what is -24 + 1451? 142c In base 15, what is 12 + 450? 462 In base 11, what is 25656 - 2? 25654 In base 15, what is 1b - 9? 12 In base 15, what is -3 + 34be? 34bb In base 14, what is 1d2 + -15? 1bb In base 15, what is 2 + 262b6? 262b8 In base 10, what is 51653 + 3? 51656 In base 8, what is -14 + 101? 65 In base 16, what is -1d - -18cc? 18af In base 13, what is 4 - -99ab7? 99abb In base 15, what is 15799 + 40? 157d9 In base 10, what is 916022 - -2? 916024 In base 15, what is 164a + c5? 1720 In base 11, what is -232 + -374? -5a6 In base 12, what is 446a55 - 4? 446a51 In base 13, what is -233 + 3cb? 198 In base 13, what is -34 - -1696? 1662 In base 6, what is -2050 + -42? -2132 In base 10, what is -494 + 31? -463 In base 10, what is -140 - -2236? 2096 In base 15, what is 4a - -38? 83 In base 2, what is 1101110101001110 - 100? 1101110101001010 In base 15, what is 7b77 - -8? 7b80 In base 16, what is -101 - -8a? -77 In base 14, what is -394cc + -20? -3950c In base 16, what is efd46 + 2? efd48 In base 2, what is -100001 + 10001000010110101? 10001000010010100 In base 5, what is 10 + 100423011? 100423021 In base 13, what is -4974 - -60? -4914 In base 7, what is -30004 + -5? -30012 In base 4, what is -11 - -3120112? 3120101 In base 6, what is -2 + -25454404? -25454410 In base 6, what is -1543 - -4232? 2245 In base 7, what is -342 + -13013? -13355 In base 6, what is 2 - 304? -302 In base 6, what is 1310410 + -2? 1310404 In base 5, what is 32441 - 414? 32022 In base 7, what is -25464 + -1262? -30056 In base 7, what is 10 - 5454? -5444 In base 10, what is -5 - -54? 49 In base 5, what is 101244412 + -2? 101244410 In base 6, what is 11020 - 1221? 5355 In base 8, what is 1 + -1012024? -1012023 In base 11, what is 79a7 + -21? 7986 In base 5, what is 1332130 - 10? 1332120 In base 2, what is 10000 + -1011001101? -1010111101 In base 7, what is 3140 + -210? 2630 In base 9, what is -63 - -165? 102 In base 10, what is 0 - 124077? -124077 In base 12, what is 803 - -33? 836 In base 2, what is -1 - -1010100100000110? 1010100100000101 In base 16, what is 58 - 77? -1f In base 7, what is 3541 - -13003? 16544 In base 16, what is -218 - 84? -29c In base 10, what is -134 + 249? 115 In base 9, what is -2200 + 2825? 625 In base 11, what is -42 - a15? -a57 In base 3, what is -22 + 2020020020? 2020012221 In base 12, what is -8a48 - -4? -8a44 In base 3, what is 11100011 + 10220? 11111001 In base 11, what is -433 - -630? 1a8 In base 5, what is -140432 + 21? -140411 In base 12, what is -29780 - 6? -29786 In base 16, what is 56a + a3? 60d In base 4, what is -2130013 + -2? -2130021 In base 14, what is 3 + -85b8? -85b5 In base 2, what is 11100 - 100110010000001? -100110001100101 In base 10, what is -5 + 16870? 16865 In base 13, what is -a11 + -77? -a88 In base 8, what is 5 + -504556? -504551 In base 5, what is -11 + 1310321? 1310310 In base 7, what is 1 + 1013355? 1013356 In base 15, what is -c63 + -1e1? -e54 In base 8, what is 1125 + -1264? -137 In base 15, what is -9 - 58c? -596 In base 6, what is -14150 - -551? -13155 In base 3, what is 1101000012 + 0? 1101000012 In base 15, what is a10 - -38b? d9b In base 9, what is 7720 + -2? 7717 In base 3, what is 202 + 12210110? 12211012 In base 8, what is -216 + 2000? 1562 In base 2, what is 111110110 + 10110010? 1010101000 In base 6, what is -2352 - -25? -2323 In base 8, what is -317755 + -5? -317762 In base 15, what is -12 + 2735? 2723 In base 14, what is -5 + -156467? -15646c In base 6, what is 11134544 + 4? 11134552 In base 8, what is -5 - 54105? -54112 In base 10, what is 92771 + 10? 92781 In base 8, what is 1006565 + -3? 1006562 In base 11, what is -3 + -5493? -5496 In base 14, what is 605 - -46? 64b In base 12, what is -3283 + -3? -3286 In base 4, what is 20 - -12232002? 12232022 In base 12, what is -173 + 53? -120 In base 13, what is -4576 - 3? -4579 In base 5, what is -12 - -231412? 231400 In base 11, what is -4 - -588a9? 588a5 In base 2, what is -1100001010010 - 0? -1100001010010 In base 16, what is 5 + -57d? -578 In base 4, what is -120010 - -12? -113332 In base 10, what is 747 + -28? 719 In base 5, what is -3022 - 2230? -10302 In base 12, what is -131a55b - -3? -131a558 In base 6, what is 4 - 222552? -222544 In base 8, what is 616516 + -12? 616504 In base 9, what is 16 - 276611? -276584 In base 7, what is -5 - 56150? -56155 In base 7, what is 6 - -33632? 33641 In base 7, what is 25332 - -1? 25333 In base 13, what is a753 + 4? a757 In base 5, what is -10 - 22014002? -22014012 In base 9, what is -5 + 3152? 3146 In base 5, what is -10 - -114130433? 114130423 In base 11, what is -10 - -312574? 312564 In base 14, what is -277 + -26d? -506 In base 15, what is -c5 + -118? -1dd In base 4, what is -2 - 1020030031? -1020030033 In base 3, what is -11 + 10001? 2220 In base 14, what is -5 - 284b? -2852 In base 9, what is 2012 - 7? 2004 In base 16, what is -d1 - 729? -7fa In base 2, what is 11101101110100000000001 - 100? 11101101110011111111101 In base 10, what is -1220 + 23? -1197 In base 9, what is -3051 + 2281? -660 In base 15, what is 3 + -1a741? -1a73d In base 8, what is 17 + -263115? -263076 In base 5, what is 1243 + 40204? 42002 In base 14, what is 8cc + 34? 922 In base 10, what is -5 - -12255? 12250 In base 14, what is 18a - 31? 159 In base 4, what is 1111023231 + -1? 1111023230 In base 2, what is 101011001101010 - 110? 101011001100100 In base 12, what is -8a0 + -3? -8a3 In base 2, what is 111 - -1111011011000? 1111011011111 In base 11, what is 3 - -8a462? 8a465 In base 13, what is -4 + c317? c313 In base 16, what is -43 + 3188? 3145 In base 16, what is -1165c + -1? -1165d In base 13, what is -c0256a - -2? -c02568 In base 2, what is -11011111011111 - -1000? -11011111010111 In base 16, what is 12 - d3a? -d28 In base 9, what is 1244 - -13? 1257 In base 8, what is 16 - -3044? 3062 In base 9, what is 3418068 + -5? 3418063 In base 5, what is -10 - 1201012? -1201022 In base 10, what is 8923497 + 1? 8923498 In base 16, what is 18 - -13c? 154 In base 5, what is 13120233 + -1? 13120232 In base 2, what is 1111101111111100100 + 11? 1111101111111100111 In base 7, what is 5 - -124633? 124641 In base 11, what is -53a - 24? -563 In base 10, what is 103780 + -1? 103779 In base 14, what is -5 + -79658? -7965d In base 5, what is 11442 + 13004? 30001 In base 6, what is -2523040 - -1? -2523035 In base 9, what is 2 + 13050? 13052 In base 8, what is -3 + 272750? 272745 In base 4, what is -1330 + -2132? -10122 In base 16, what is -33 + -1515? -1548 In base 4, what is 10 + -12220? -12210 In base 3, what is -1 + 22201020? 22201012 In base 4, what is 223 + 210330100? 210330323 In base 8, what is -4 + 2147403? 2147377 In base 16, what is 10b9 + -8f? 102a In base 13, what is a35 + -2b? a07 In base 12, what is 53940 - 31? 5390b In base 6, what is -5 - -10204? 10155 In base 8, what is -42331 + 6? -42323 In base 13, what is 101c1 + -4? 101ba In base 10, what is 7 + 366378? 366385 In base 16, what is 0 - e01f? -e01f In base 12, what is -3 + -2b507? -2b50a In base 14, what is -23644d + 1? -23644c In base 3, what is -1 + 1221202110200? 1221202110122 In base 2, what is -11 + 10011001111111111? 10011001111111100 In base 4, what is 22120210 + 23? 22120233 In base 14, what is 3d + -35? 8 In base 3, what is -2111201120 + 101? -2111201012 In base 2, what is 1 - -10001110011001? 10001110011010 In base 14, what is 2b0 - -144? 414 In base 7, what is 0 - 2650215? -2650215 In base 16, what is 40e4 + -4? 40e0 In base 4, what is -2102 - -103312? 101210 In base 13, what is -478a - 1? -478b In base 7, what is 545 - 662? -114 In base 11, what is 4a9a + a6? 5095 In base 13, what is -5 + -1069? -1071 In base 15, what is 3 + -6e48? -6e45 In base 14, what is 5c01 + -155? 5a8a In base 16, what is 7 + 24e40? 24e47 In base 16, what is 13e + -a3d? -8ff In base 11, what is 0 + -13a65? -13a65 In base 7, what is -2 + 2655435? 2655433 In base 15, what is 16 + 1b7a? 1b91 In base 3, what is 112101112021 - 0? 112101112021 In base 10, what is -6089 - -2? -6087 In base 10, what is -552 + 103? -449 In base 13, what is -284
{ "pile_set_name": "DM Mathematics" }
1001 - 995 + 1315*a**3 + 12*a to the form j*a + z + v*a**3 + k*a**2 and give z. 6 Express 1735 - 3470 - 3*w**3 + w + 93*w**2 + 1732 - 2*w in the form g*w + l + z*w**3 + t*w**2 and give l. -3 Express -2 - 174*a**2 - 453*a - 2*a**4 + 343*a**2 + 132*a - 167*a**2 as r*a**2 + c*a**3 + d*a**4 + f*a + j and give c. 0 Express -398*g - 169 - 382*g - 397*g + 1172*g + (3*g + 3*g + g)*(-1 + 0 + 3) as l + k*g and give k. 9 Express 27*o**2 + 222 - 24*o**2 + 2*o - 2*o**4 - 232 - 2*o**3 in the form m*o**3 + a*o**2 + t*o**4 + d + s*o and give s. 2 Express 3333 - 2369 + 4*p + 5267 in the form i*p + y and give i. 4 Express (4 + 0 + 0)*(-3 + 3 - d**2 + (14*d + 19*d - 2*d)*(-2 + d + 2) + 24*d**2 - 7*d**2 + 9*d**2) as b*d + i + m*d**2 and give m. 224 Express -105*s**3 - 7 + 101*s**3 + 9*s**4 + 256*s**2 - 7*s**4 + 1 + 4 as h*s**4 + c*s**3 + y*s**2 + d + l*s and give d. -2 Express -208*f + 2547 - 10*f - 2542 - 594*f as a + n*f and give n. -812 Express 14740 - 2804*b + 10555*b + 3363*b - 14740 as i + a*b and give a. 11114 Express 17639*p**3 + 3*p**4 - 8821*p**3 + p**2 + 100*p - 8818*p**3 in the form f + w*p**3 + s*p + q*p**2 + h*p**4 and give s. 100 Rearrange (-2*q + q - q)*(1 + 2 + 0)*(-176*q**2 + 82*q**2 + 50*q**2) to the form m*q**2 + y*q**3 + x*q + u and give y. 264 Express 138*u**3 - 279*u**3 + 84*u**3 + 16*u**2 as q + j*u**2 + h*u + w*u**3 and give w. -57 Rearrange 5*g**4 + 29336 - 29337 + 7*g**4 - 33*g**3 + 85*g**2 - 13*g**4 to w*g + y + i*g**3 + u*g**4 + m*g**2 and give y. -1 Rearrange (4 - 1 - 5 + (1 + 4 - 3)*(1 - 1 - 2))*(3 - 1 + 0)*(51*r**3 - 52*r**3 + 30*r**3) to l*r**3 + s + j*r + i*r**2 and give l. -348 Express (7478 - 28509 - 92735 - 90894 + 20280)*(o**3 + o**4 - o**3) in the form b*o + v*o**4 + a*o**2 + n + m*o**3 and give v. -184380 Express 119*q - 1033619 + 5*q**2 - 2*q**2 + 48*q + 1033617 in the form y*q**2 + j + o*q and give j. -2 Rearrange -328678*q - 192*q**2 + 328678*q - 1 to v*q**2 + a + k*q and give a. -1 Rearrange 57*z - 37*z**2 + 39*z + 49*z**2 + 86*z + 46*z to a*z**2 + d*z + v and give v. 0 Rearrange -339*r + 22396*r - 10260*r + 23885*r + 2753*r to the form d + m*r and give m. 38435 Rearrange 27*n + 4 - 23*n - 3*n**3 + 18*n - 24*n to the form j*n + u*n**2 + i*n**3 + g and give g. 4 Express (3*k**3 - k**3 - k**3)*(1551*k - 1365*k + 2 - 6) as f + x*k**4 + h*k**2 + c*k**3 + u*k and give x. 186 Rearrange (-70 - 32 + 24 - 5 - 14)*(-65 + 65 - u) to d + s*u and give s. 97 Express -2728*f**3 + 3497*f**3 + 3 - 4*f**4 + f**4 as w*f**2 + h*f + l + j*f**4 + y*f**3 and give j. -3 Express (-7604*r**4 + 12132*r**4 - 7006*r**4)*(-5 + 1 + 2) + 2*r**4 + 5*r**3 - 5*r**3 as l*r + v*r**4 + n*r**3 + y + w*r**2 and give v. 4958 Express 66*v - 26*v**2 + 2 - 7*v**3 - 40*v + 3*v**3 - 28*v as q*v + s + k*v**2 + o*v**3 and give k. -26 Express 262*q - 910 + 526 + 376 as l*q + t and give l. 262 Express -9375685 + 9375684 - 3*x**2 - 53*x**3 + 109*x**4 + 3*x**2 in the form y*x**2 + l*x + c*x**4 + a*x**3 + g and give c. 109 Rearrange -3*a - 6*a + 10 + 23*a + 21*a - 8*a to the form k*a + t and give k. 27 Express -2*s - s - 6*s - 109*s + 956 - 956 + 3*s - 4*s + 3*s + (3 + 1 - 2)*(0 + 0 - s) + 2*s - s + 5*s in the form r + i*s and give i. -112 Express (245985 - 245985 + 2328*g)*(11*g - 7*g**2 - 11*g)*(-5 + 4 + 2) as p*g + o*g**2 + n*g**3 + m and give n. -16296 Express (21 - 21 - 3*j)*(-5*j + j + 3*j) + 421 - 421 - 766*j**2 + 2*j**2 + j**2 - j**2 in the form w + u*j + d*j**2 and give d. -761 Rearrange (5 - 10*o + 0*o + 13*o)*(-290*o + 23*o - 1006*o) to the form d + b*o + f*o**2 and give d. 0 Rearrange -25*c**3 + 15*c**4 + 8*c**3 + 15*c**3 - 2*c + 4*c**2 - 5*c**2 to r*c**4 + z*c + y*c**2 + w*c**3 + s and give s. 0 Rearrange (2 - 6 + 3)*(-2 + 1 + 0)*(-4 + 2 - 9)*(18*g - 8*g - 7*g) to u + i*g and give i. -33 Rearrange (98 + 44 + 16)*(-143*u - 130*u - 19*u + 15*u) to j*u + t and give j. -43766 Rearrange (-4*b + 0*b - 2*b - b - 2*b + 2*b + (0*b + 9*b + 3*b)*(0 + 0 - 2))*(6 - 3 + 0*b + 4*b) to d*b + a*b**2 + t and give d. -93 Express -4 + 4 + 4*y**2 + (-2*y**2 + 4*y**2 - y**2)*(-2 - 11 + 1) + (3 - 2 - 3)*(22*y**2 + 165 - 165) as z + u*y**2 + t*y and give u. -52 Rearrange (-1 + 0 - 1)*(-6 + 7*l + 6 + (2*l + l - 2*l)*(13 - 1 - 2))*(-8*l**3 - 35*l + 35*l) to r + g*l + u*l**2 + w*l**4 + b*l**3 and give w. 272 Rearrange 151 + 18 + 68 - 3*h - 22 to r + j*h and give r. 215 Rearrange -36*b**3 + 7*b - b**2 - 17*b**3 - 2*b**4 + 2*b**4 - 3*b**4 + 50*b**3 to the form m*b**4 + a*b**3 + z + v*b + d*b**2 and give v. 7 Rearrange 82*j + 74*j - 6461 - 158*j - 7284 to the form p + h*j and give h. -2 Express (3*n - 7*n + 0*n)*(-2371*n**2 - 62203*n + 62203*n) as r*n + t*n**3 + k*n**2 + w and give t. 9484 Rearrange -119 + 21 - 20*y + 58*y to the form t + x*y and give t. -98 Express -129 + 38*w - 105 - 7 + 524 - 47 in the form c + t*w and give t. 38 Express -97905*y + 195805*y - 282 - 97924*y in the form c*y + i and give i. -282 Rearrange (-3*t + 7*t + 9*t)*(-3*t - 51 - 1186 + 4*t - 499) to z*t**2 + x*t + h and give x. -22568 Express 18*s**2 - 18*s**2 - 4*s**3 + 5 - 5 + 5*s**3 + (6*s + 5 - 5)*(s**2 + 8*s**2 - 4*s**2) as a*s**3 + c*s + n*s**2 + q and give a. 31 Express l**3 - 4*l**3 + 3427317*l - 26*l**2 - 3427314*l in the form y*l**3 + t*l**2 + q*l + u and give y. -3 Express -27870*m**4 + 2 - 4*m**2 + 55840*m**4 - 27915*m**4 in the form o*m**3 + l*m + q*m**2 + h + c*m**4 and give c. 55 Express -3 - 277*t**2 + 79*t - 267*t**2 + 532*t**2 + 2 - t**3 in the form h*t + l + b*t**3 + r*t**2 and give b. -1 Express (-n - 8*n - 12*n)*(69*n**2 - 122*n**2 - 276*n**2) in the form t*n**3 + k + b*n**2 + q*n and give t. 6909 Express (-4*z**2 + 0*z**2 + z**2)*(234*z**2 + 1032*z**2 + 926*z**2 - 112*z**2) as i*z**2 + g*z**4 + u*z**3 + k*z + p and give k. 0 Rearrange (-13 + 12 + 3*s - 37*s)*((3 - 2*s - 3)*(0*s - s - s) - 2*s**2 - 2*s**2 + 8*s**2 - 2*s**2 - 9 + 9) to the form k*s**3 + q*s + z*s**2 + x and give q. 0 Rearrange 39*d**2 - d - 44*d**2 - 2 - 33*d**2 + 71*d**3 - 64*d**3 to l*d**2 + a + s*d + k*d**3 and give k. 7 Express (143*g**2 - 76*g**2 + 99*g**2)*(1 - 1 + 1) + (3 - 3 + g**2)*(4 + 6 - 6) in the form x + v*g**2 + z*g and give v. 170 Rearrange (4*o**2 - 3*o**2 + 0*o**2)*(1 - 3 + 3) + (5 + 6 - 4 + o)*((-8 - 10 + 11)*(-o - 4*o - 2*o) + 0*o + 5*o - 4*o) to s*o**2 + j + v*o and give j. 0 Express -79*l**3 - 1 - 6 + 4992*l**2 - 4987*l**2 - 25*l**3 as c + b*l**3 + q*l**2 + g*l and give b. -104 Rearrange -v + 9 + 132 - 51 - 2*v**2 + 6*v to z + h*v**2 + g*v and give z. 90 Rearrange t**3 - 31 - t - 3*t**3 + 22*t**2 + 17839*t**4 - 17838*t**4 to v*t**4 + s*t**2 + z*t**3 + i*t + c and give c. -31 Express 1125*f**3 + 1120*f**3 + 7*f**2 - 2*f - 2 - 2257*f**3 as x*f + z*f**2 + v*f**3 + m and give x. -2 Express 4553 - 4553 - 349*j**2 + (-1 + 1 + j)*(-4 - 2*j + 4) - 9*j**2 + 18*j - 18*j as l*j + p + a*j**2 and give a. -360 Rearrange -6*x - 9*x**3 - 15*x + 2355943*x**4 - 2355940*x**4 - 6*x**2 to the form i*x + q*x**3 + y*x**4 + f*x**2 + l and give f. -6 Rearrange -6 - 657*w**3 - 108*w**2 + 650*w**3 + 41*w + 48*w - 89*w to the form r*w + o + i*w**3 + h*w**2 and give o. -6 Express (3506*j**3 + 496*j**2 - 3473*j**3 - 173*j**2)*(1 - 2 - 1) as s + o*j**3 + h*j**2 + d*j and give h. -646 Rearrange -52185 + 103012 - 52117 + 2*k to the form i + w*k and give w. 2 Rearrange 6*v**3 - 2*v**4 - 22*v**3 - v**2 - 20*v**3 + 5*v - 11*v - 67*v**3 to the form t*v**4 + g*v**3 + d + r*v + w*v**2 and give r. -6 Rearrange (4424 + 4437 - 12885)*(p**2 - p + p) to the form v + s*p + t*p**2 and give t. -4024 Express (70*p - 3 - 107*p - 34*p)*(0*p + 0*p + p**2) in the form t + d*p + b*p**2 + c*p**3 and give t. 0 Rearrange 5*m**3 - 23 + 26293*m**2 - 26291*m**2 + 33 + m to w + h*m + i*m**3 + y*m**2 and give i. 5 Rearrange (29632 + 19607 + 586 + 24504 + 19962)*(0 + 0 - a**2)*(-3*a - a**2 + 3*a) to n*a**2 + j + m*a**3 + d*a + c*a**4 and give n. 0 Express -30213*q**2 + 7924*q**2 + 124 + 122 - 246 in the form l + a*q**2 + t*q and give a. -22289 Rearrange 2 - 30*q**4 - 3*q - q - q**2 + 3 - 6 + 0*q**3 + 2*q**3 to s*q**3 + t*q**4 + r*q**2 + n + i*q and give t. -30 Rearrange 17055*b**4 - 8 + 5*b - b**2 - 2*b - 17039*b**4 + 2*b**3 + b**2 to d*b**4 + q*b**2 + z*b + u + f*b**3 and give d. 16 Express 2151 - 4303 + 2152 + 5009*u**2 in the form h*u**2 + t*u + o and give h.
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from {p: 4, n: 1, k: 2, a: 3}. 2/15 What is prob of picking 2 s and 2 i when four letters picked without replacement from isiiiiisissssiisiiss? 132/323 Two letters picked without replacement from {g: 1, j: 11}. Give prob of picking 2 j. 5/6 Four letters picked without replacement from {b: 3, d: 2, z: 3}. What is prob of picking 1 d and 3 b? 1/35 Three letters picked without replacement from {a: 1, s: 4, f: 1, u: 1, t: 6, b: 3}. What is prob of picking 1 a, 1 t, and 1 u? 3/280 Two letters picked without replacement from rnkkkkkhhrrhhnk. What is prob of picking 2 k? 1/7 Calculate prob of picking 3 f and 1 e when four letters picked without replacement from fxtxtftfexff. 2/99 Three letters picked without replacement from {h: 2, j: 3, b: 4}. What is prob of picking 2 b and 1 h? 1/7 Three letters picked without replacement from sgxeqcx. Give prob of picking 1 e, 1 q, and 1 x. 2/35 Four letters picked without replacement from {z: 10}. Give prob of picking 4 z. 1 What is prob of picking 1 o and 2 p when three letters picked without replacement from {r: 1, p: 3, o: 4}? 3/14 Three letters picked without replacement from {e: 6, n: 3, q: 3, r: 3, w: 1}. What is prob of picking 1 n, 1 r, and 1 q? 27/560 Four letters picked without replacement from {j: 2, x: 9}. What is prob of picking 4 x? 21/55 Calculate prob of picking 1 w, 1 p, 1 s, and 1 i when four letters picked without replacement from {s: 5, p: 4, i: 1, a: 3, w: 1}. 20/1001 What is prob of picking 2 o and 2 d when four letters picked without replacement from {o: 3, d: 2}? 3/5 Calculate prob of picking 1 f and 1 h when two letters picked without replacement from ibhhzrf. 2/21 What is prob of picking 4 d when four letters picked without replacement from {d: 4}? 1 What is prob of picking 1 b and 2 f when three letters picked without replacement from {b: 13, f: 5}? 65/408 Two letters picked without replacement from {d: 1, j: 5, f: 3}. What is prob of picking 2 f? 1/12 Two letters picked without replacement from xxurdprddpidxxxpixp. Give prob of picking 1 p and 1 r. 8/171 Two letters picked without replacement from {q: 2, m: 2, h: 4, t: 1, e: 1}. What is prob of picking 1 e and 1 h? 4/45 Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 1, t: 13, u: 3}. 39/340 Two letters picked without replacement from wwbfwbbnwb. Give prob of picking 1 f and 1 n. 1/45 Two letters picked without replacement from oploopo. What is prob of picking 2 o? 2/7 Calculate prob of picking 2 z when two letters picked without replacement from mmhmmezmzmhmhme. 1/105 Calculate prob of picking 2 o and 2 y when four letters picked without replacement from oooqoyjoooqjoqyoyyyj. 24/323 Calculate prob of picking 4 b when four letters picked without replacement from bbbbjbbbjjbbbjbbbbbj. 91/323 What is prob of picking 1 n and 1 t when two letters picked without replacement from {i: 1, n: 1, w: 1, u: 1, t: 1}? 1/10 Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {u: 2, q: 3, r: 3, g: 1, a: 3, w: 3}. 1/455 What is prob of picking 1 r, 1 y, and 1 j when three letters picked without replacement from jirijjy? 3/35 What is prob of picking 1 q and 1 e when two letters picked without replacement from qqsqssseqq? 1/9 Three letters picked without replacement from wwjjjjjwjwjww. What is prob of picking 3 w? 10/143 Two letters picked without replacement from {f: 6, g: 6, o: 7, p: 1}. What is prob of picking 1 g and 1 p? 3/95 Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {u: 1, a: 1, n: 3}. 1/10 Two letters picked without replacement from hhhhhh. What is prob of picking 2 h? 1 Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, r: 1}. 1/2 What is prob of picking 1 o and 1 f when two letters picked without replacement from {o: 2, f: 3, m: 3, z: 1, c: 1}? 2/15 Four letters picked without replacement from ccddlllcdcllllclc. Give prob of picking 1 d, 2 l, and 1 c. 18/85 Four letters picked without replacement from {q: 1, j: 4, b: 9}. What is prob of picking 4 b? 18/143 Three letters picked without replacement from {c: 6, f: 4}. What is prob of picking 2 c and 1 f? 1/2 Three letters picked without replacement from {u: 11, p: 5}. Give prob of picking 2 p and 1 u. 11/56 Calculate prob of picking 3 r when three letters picked without replacement from {v: 2, r: 3}. 1/10 Two letters picked without replacement from dvqdvtzy. What is prob of picking 1 t and 1 z? 1/28 Three letters picked without replacement from {x: 6, y: 4, q: 2}. Give prob of picking 2 q and 1 x. 3/110 Three letters picked without replacement from hnnnsupsnss. What is prob of picking 2 s and 1 p? 2/55 What is prob of picking 1 f and 1 h when two letters picked without replacement from fbffbbbbbfbfhffbf? 1/17 Two letters picked without replacement from oxoxoxeoo. What is prob of picking 1 o and 1 x? 5/12 What is prob of picking 1 y and 1 b when two letters picked without replacement from {x: 1, b: 1, a: 1, e: 1, y: 1}? 1/10 Calculate prob of picking 1 e and 3 o when four letters picked without replacement from kkkozokomekokkook. 1/119 Four letters picked without replacement from nrnrnnnrnnnnnnrnrn. What is prob of picking 3 r and 1 n? 13/306 What is prob of picking 1 f and 1 r when two letters picked without replacement from {f: 1, m: 1, y: 1, i: 1, r: 1}? 1/10 Three letters picked without replacement from {c: 5, e: 8, d: 5}. What is prob of picking 1 c and 2 d? 25/408 Four letters picked without replacement from {d: 10, y: 4}. Give prob of picking 4 d. 30/143 Three letters picked without replacement from cojcccnocoocojjjjjco. Give prob of picking 1 c, 1 n, and 1 o. 7/190 What is prob of picking 1 e and 1 v when two letters picked without replacement from zzefevzfefz? 3/55 Calculate prob of picking 2 c when two letters picked without replacement from {c: 6, g: 6}. 5/22 Two letters picked without replacement from {m: 1, b: 3, o: 2, c: 1}. What is prob of picking 1 o and 1 b? 2/7 Calculate prob of picking 1 a and 1 v when two letters picked without replacement from vaavallaaaalaala. 1/6 What is prob of picking 2 e and 2 r when four letters picked without replacement from eeieieeir? 0 Four letters picked without replacement from ppypq. Give prob of picking 2 q and 2 y. 0 What is prob of picking 1 d and 1 v when two letters picked without replacement from {h: 1, v: 2, d: 1, m: 1}? 1/5 Calculate prob of picking 3 z when three letters picked without replacement from {z: 4}. 1 Two letters picked without replacement from {q: 1, e: 3, o: 9, k: 5}. What is prob of picking 1 o and 1 e? 3/17 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rbyppyrnnhprpr. 4/91 What is prob of picking 3 h and 1 y when four letters picked without replacement from yyyyhyhhhyhyyyyhhyy? 35/323 Calculate prob of picking 2 a when two letters picked without replacement from kkkkakkakkkkakkkkk. 1/51 Three letters picked without replacement from siiisissiiissmi. What is prob of picking 2 i and 1 m? 4/65 What is prob of picking 2 i and 1 n when three letters picked without replacement from {w: 1, i: 2, a: 3, n: 3, j: 2, q: 4}? 3/455 What is prob of picking 2 h and 1 t when three letters picked without replacement from ttttttthhhthtththth? 84/323 Three letters picked without replacement from {o: 3, y: 11, s: 1, h: 2, i: 1}. Give prob of picking 1 s, 1 o, and 1 h. 1/136 Three letters picked without replacement from feeqveeffffffe. What is prob of picking 1 q, 1 v, and 1 e? 5/364 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ciccpipipip. 12/55 Three letters picked without replacement from {l: 4, f: 2, i: 3, h: 10}. What is prob of picking 3 i? 1/969 Calculate prob of picking 1 l and 2 z when three letters picked without replacement from ppmpztplpztmppp. 1/455 What is prob of picking 3 e and 1 b when four letters picked without replacement from eeeeeeeeeeeebeeeeee? 4/19 What is prob of picking 1 d, 1 f, and 1 c when three letters picked without replacement from {c: 4, v: 5, f: 4, d: 2}? 32/455 What is prob of picking 2 w and 2 m when four letters picked without replace
{ "pile_set_name": "DM Mathematics" }
Let x = 0.101 - 0.13. Let f = w + x. Round f to 2 decimal places. -0.01 Let h(j) = 4169*j**3 + 42*j**2 - 7*j + 4. Let d be h(12). Round d to the nearest 1000000. 7000000 Let a be -1 + (-6 + 3 - -6). Let b(k) = 4*k - 15001*k**3 + k**2 - 4 + 6 - 3*k. Let m be b(a). What is m rounded to the nearest 100000? -100000 Let j = -312 + 325.88. Let o = j - 14. Let y = 5.08 - o. Round y to the nearest integer. 5 Let o = 134.8 - 687.8. Let d = -544.06 - o. Let v = -1.04 + d. What is v rounded to zero decimal places? 8 Let v = 462.4 + -462.37197. What is v rounded to three decimal places? 0.028 Let g(v) be the third derivative of -23*v**6/24 - v**5/6 + v**4/6 + 11*v**3/6 - 17*v**2. Let t be g(-9). Round t to the nearest 10000. 80000 Let y(w) = 121*w**2 + 15*w - 22. Suppose -2*n + 35 - 1 = 0. Let i be y(n). Let h = i + -16202. Round h to the nearest 1000. 19000 Let x = -154.4 + 275.1. Let u = -116 + x. What is u rounded to the nearest integer? 5 Let a(z) = 2*z + 26. Let l be a(-10). Let n(o) = -75*o**3 + 18*o**2 + 8*o + 4. Let s be n(l). Round s to the nearest 10000. -20000 Let s = -825997 - -1415997. Round s to the nearest 100000. 600000 Let q(n) = -1 + 18*n - 7*n + n**2 - 12*n + 3. Let g be q(0). Let o be 8/(-2) - 20199992/g. What is o rounded to the nearest one million? -10000000 Let y = 0.74 - 0.47. Let f = 0.27000055 - y. Round f to seven decimal places. 0.0000006 Let r = 8645 + -8504.82. Let f = r + -139. Let c = 11.78 - f. Round c to the nearest integer. 11 Let p(q) = 6*q**3 - 3*q**2 + 3*q - 1. Let a be p(1). Suppose 2455 = -m - 10*g + a*g, 4*g + 12296 = -5*m. What is m rounded to the nearest 100? -2500 Let p = -267 + 269.5. Let c = -93.004065 - -95.504. Let f = c - p. Round f to five dps. -0.00007 Suppose -6*v = -8*v - 53422. Let o = v - -44311. What is o rounded to the nearest 1000? 18000 Let j = 104 - 92.3. Let f = -2.3 - j. Let x = -14.0000056 - f. Round x to six decimal places. -0.000006 Let f be (2/4)/(-7 + (-232)/(-32)). Suppose -4*k - f*v - 3*v = 1742, 2*k + 4*v + 868 = 0. What is k rounded to the nearest 100? -400 Let l = -22 + 46. Let q = 17 - l. Let k = -6.99999899 - q. Round k to 7 decimal places. 0.000001 Let t = 64 - 64.14. Let j = -0.47 - t. Round j to 1 dp. -0.3 Let v = 8.7 + -8. Let d = 36.48322572 - 35.783226. Let z = d - v. What is z rounded to 7 dps? -0.0000003 Suppose 10*c + 14417 = -19583. What is c rounded to the nearest one thousand? -3000 Let x = -3.7 + 3. Let i = 143124803.69999991 - 143124803. Let a = x + i. What is a rounded to 7 decimal places? -0.0000001 Let h = -3852726 - -3852774.00158. Let k = -48 + h. What is k rounded to four decimal places? 0.0016 Let p(u) = -2380066*u - 1. Let n be p(5). Suppose -76*w = -75*w - 1200331. Let a = n + w. Round a to the nearest one million. -11000000 Let q = -454 + 446.29. Round q to one decimal place. -7.7 Let o = 0.03662 + 0.00356. Let w = -0.041 + o. Round w to four dps. -0.0008 Let j be 2400*(15/(-6) - -3). Let u = j + -530. Suppose 4*r = -2*t + 2396, -2*r = -2*t - 534 - u. What is r rounded to the nearest 1000? 1000 Let o = 4.9 + -10.1. Let f = o - -1.5. What is f rounded to the nearest integer? -4 Let o = 377363.93 + -375657. Let y = o - 1715. What is y rounded to zero decimal places? -8 Let p(t) = 170152*t**3 - 8*t**2 - 7*t - 4. Suppose 3*s - 2*s = -6. Let x be p(s). Let r = x - -24153082. Round r to the nearest 1000000. -13000000 Let b be ((-6)/(-8) + (-36)/16)*-22114. Let j = -46829 - b. What is j rounded to the nearest ten thousand? -80000 Suppose -2*c + 158 = 4*o, 247 = 5*o - c + 46. Suppose 15*s = 19*s - o. Suppose -4*d - 2 = s, 2*k + d - 68799997 = 0. Round k to the nearest 1000000. 34000000 Let v = -2262590.999816 - -2262570. Let a = -21 - v. Round a to 5 decimal places. -0.00018 Let v = 10.4 + 90.6. Let a = v + -122.3. Let k = a + 28. Round k to the nearest integer. 7 Let d(a) = -10*a**3 - 3*a**2 - 8*a - 8. Let p be d(-10). Let f = -13727 + p. Let t = -7555 - f. Round t to the nearest 1000. -4000 Let a = -1153.146 + 1154. Round a to one decimal place. 0.9 Let t be 3/((-6)/8) + 8. Let f be (13 - 1)*t/3. Suppose -4120000 = -12*z + f*z. What is z rounded to the nearest 100000? -1000000 Let i = 2.55 - 2.549812. Round i to 5 dps. 0.00019 Let v be ((-4)/(-6) - 2/(-6))/1. Let a be (-5200)/(45/150*v/600). What is a rounded to the nearest 1000000? -10000000 Suppose 5*q + b - 10995 = 0, -4*b + 7*b + 6615 = 3*q. Round q to the nearest 100. 2200 Suppose 114491825 = -29*c - 84245175. What is c rounded to the nearest 1000000? -7000000 Let k = 19.84 - 20. Let n = -2.11 - k. Let i = n - 6.35. Round i to the nearest integer. -8 Let r = -123 - -303. Let d = r - 179.99843. Round d to four decimal places. 0.0016 Let o = 1589825315.99915 + -1589793084. Let x = o + -32233. Let n = x - -1. Round n to 4 decimal places. -0.0009 Let y = -7353 - -10853. What is y rounded to the nearest 10000? 0 Let c = 7.07975102 - 156.07973682. Let w = 0.083 + -149.083. Let t = w - c. What is t rounded to six decimal places? -0.000014 Let f = 186.00000348 + -186. Round f to 7 dps. 0.0000035 Let w = 917115 - -243415. Let g = w - 20530. Round g to the nearest one hundred thousand. 1100000 Let u = -8694.69584722 + -3.18409778. Let w = u + 8698. Let m = w + -0.12. Round m to 5 decimal places. 0.00006 Let s be (-4)/(-6) - (-932310054)/(-81). Round s to the nearest 1000000. -12000000 Let m = -3.68 + 3.680331. What is m rounded to five decimal places? 0.00033 Let v = -334.6599866 + 634.65998517. Let z = 295.14 + 4.86. Let y = v - z. What is y rounded to seven dps? -0.0000014 Let g(v) = -40*v + 70*v - 39*v - 2645 - 10055. Let o be g(0). Round o to the nearest one thousand. -13000 Let g = -2.9819 + 3.17. Let o = -0.18 + g. What is o rounded to three decimal places? 0.008 Suppose -44*f + 42*f = 2*y - 21930, 4*y + 21960 = 2*f. What is f rounded to the nearest one thousand? 11000 Suppose -3118884 - 571151 = -5*v. Suppose 5*h + c + v = 69802, h = -3*c - 133655. Let n = h + -386360. Round n to the nearest 100000. -500000 Let s = -6.76 + 7. Let p = 0.1 + s. Let n = p - 0.339. What is n rounded to 3 dps? 0.001 Let b = -21.4 + 21.402832. Round b to four decimal places. 0.0028 Let k = -45.895 + -0.105. Let t = k - -45.996. What is t rounded to two dps? 0 Let t = -23 - -147. Let u = t + 163. Let w = u - 287.0000233. Round w to 6 dps. -0.000023 Let z = 7 - 1.8. Let t = 19.504 + -24.81. Let n = z + t. Round n to two decimal places. -0.11 Let j = 395 + 674. Let f = j + -1064.71. Let g = -4.5 + f. What is g rounded to one dp? -0.2 Let q(w) = -6*w**2 + 9*w - 183. Let x be q(15). What is x rounded to the nearest 10? -1400 Let r = 3.75 + -2.51. Round r to one dp. 1.2 Let i be (-40627999)/14 - 4/56. Round i to the nearest 100000. -2900000 Suppose 4*s - 11251 = -o - 2*o, -s = -3*o + 11276. Round o to the nearest one hundred. 3800 Suppose -f + 3*f + 8665 = 3*i, 8640 = -2*f - 2*i. Let m = f + 2125. What is m rounded to the nearest one thousand? -2000 Let o(t) be the first derivative of 95*t**2/2 - 5*t + 5. Let k be o(-4). Let z be k/44*(-800)/(-2). What is z rounded to the nearest one thousand? -4000 Let l be (17 - 17) + -1 + 39. Let m = l - 39. Round m to the nearest integer. -1 Let i be 64/10 + 4/(-10). Let f(j) = j**2 - 31*j + 24. Let v be f(30). Let p be 3178/i + v/(-18). What is p rounded to the nearest 100? 500 Let y(t) = -t**2 - 14*t - 15. Let o be y(-9). Let d be 2*(25/o)/(10/6). Round d to one decimal place. 1 Suppose -4*a - s - 3 = 0, -2*a + 2*s + 1 = 5. Let c be a/2*(8 - 6). Let f be 0 + -39999 + 1/c. What is f rounded to the nearest 100000? 0 Let w = -7.54118 + 7.416. Round w to two decimal places. -0.13 Suppose -c + 4*h = -20, 5*h = 5*c - 0 - 25. Suppose c = -4*x + 3588 + 8332. Round x to the nearest 100. 3000 Let m = -2411 + 2419.984. What is m rounded to the nearest integer? 9 Let b be 2/7 - (-72)/42. Let m(u) = 3*u**b - 13 + 5*u - 2*u + 15 - 2*u. Let c be m(-2). What is c rounded to zero decimal places? 12 Suppose -17*a - 5968 = -25*a. Let b = a - 189. What is b rounded to the nearest 10? 560 Let y(q) = -353*q**3 - 6*q**2 - 6*q - 5. Let r be y(-5). Suppose -2*u - r = -u. What is u rounded to the nearest ten thousand? -40000 Let t = -1.8 - -8.3. Let k = -6 + 2.9. Let c = k + t. What is c rounded to 0 dps? 3 Let c = -81.9
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {p: 6, i: 4}. Give prob of sequence ip. 4/15 Calculate prob of sequence xdx when three letters picked without replacement from {x: 4, d: 6, m: 4}. 3/91 Four letters picked without replacement from whwhwhhh. Give prob of sequence whwh. 1/14 Calculate prob of sequence osss when four letters picked without replacement from {o: 4, s: 11, b: 4}. 55/1292 What is prob of sequence rrg when three letters picked without replacement from gfqqqfffqffyqkrr? 1/1680 Four letters picked without replacement from {r: 5, z: 6, q: 3, c: 2, k: 1, l: 3}. What is prob of sequence lllr? 1/3876 Three letters picked without replacement from eeefeeefff. What is prob of sequence eee? 1/6 Four letters picked without replacement from eetttett. What is prob of sequence eeet? 1/56 Calculate prob of sequence hn when two letters picked without replacement from {r: 4, h: 1, g: 1, n: 1, s: 8}. 1/210 Three letters picked without replacement from uuuusrrch. Give prob of sequence crs. 1/252 Calculate prob of sequence pzz when three letters picked without replacement from bppktpzttpzktptpbp. 7/2448 Calculate prob of sequence ttl when three letters picked without replacement from {l: 3, t: 8}. 28/165 Calculate prob of sequence zlxz when four letters picked without replacement from zlfxziiiezzzizezf. 1/1360 Three letters picked without replacement from {n: 1, e: 2, g: 1, a: 7, p: 2, l: 1}. What is prob of sequence eeg? 1/1092 Two letters picked without replacement from ythytgtiyyityyyt. What is prob of sequence gt? 1/48 Two letters picked without replacement from qttgqttthtyyyygqt. Give prob of sequence yq. 3/68 Three letters picked without replacement from ueeukuek. Give prob of sequence kee. 1/28 Calculate prob of sequence qis when three letters picked without replacement from iiqjsjijqiiiviikiii. 11/2907 Three letters picked without replacement from ztfoottoozwootz. What is prob of sequence wfz? 1/910 Three letters picked without replacement from {h: 1, b: 2, x: 1, u: 3, m: 5}. What is prob of sequence bmu? 1/44 What is prob of sequence wy when two letters picked without replacement from {t: 1, w: 1, y: 2}? 1/6 Two letters picked without replacement from bslbllblbxxslsrbb. What is prob of sequence xr? 1/136 Calculate prob of sequence nen when three letters picked without replacement from {d: 1, n: 3, e: 1}. 1/10 Calculate prob of sequence yth when three letters picked without replacement from {y: 1, h: 2, t: 1, z: 2, g: 1}. 1/105 What is prob of sequence rvv when three letters picked without replacement from {v: 10, r: 4}? 15/91 What is prob of sequence yuyq when four letters picked without replacement from nuuyqyuyqqynyqynnuq? 25/3876 Two letters picked without replacement from {h: 7, r: 1}. Give prob of sequence hr. 1/8 What is prob of sequence qbq when three letters picked without replacement from qbeeqkeeekqoqek? 2/455 What is prob of sequence ggt when three letters picked without replacement from trgrrmgggmgtt? 5/143 Calculate prob of sequence lblb when four letters picked without replacement from mlnnnnblnnbnbmnnbbnl. 1/969 Three letters picked without replacement from {f: 2, p: 2, g: 1}. Give prob of sequence fpp. 1/15 Three letters picked without replacement from {y: 2, q: 2, c: 9, x: 2, r: 2}. Give prob of sequence rqy. 1/510 What is prob of sequence jerr when four letters picked without replacement from {d: 3, e: 3, j: 11, r: 3}? 11/6460 Calculate prob of sequence jrer when four letters picked without replacement from {e: 1, j: 5, r: 7, l: 3}. 1/208 Four letters picked without replacement from {b: 3, d: 3, y: 4, z: 3}. Give prob of sequence zyzd. 3/715 Calculate prob of sequence bb when two letters picked without replacement from bbibbbiibbbbbi. 45/91 Calculate prob of sequence zbz when three letters picked without replacement from {b: 3, f: 6, z: 6}. 3/91 Three letters picked without replacement from fffqqqqfff. Give prob of sequence ffq. 1/6 What is prob of sequence xxx when three letters picked without replacement from xjxxxj? 1/5 Calculate prob of sequence zgjd when four letters picked without replacement from djrgdzd. 1/280 Three letters picked without replacement from {p: 4, u: 4, o: 3, w: 5}. Give prob of sequence wuo. 1/56 What is prob of sequence qbqb when four letters picked without replacement from {q: 2, b: 8}? 1/45 Calculate prob of sequence kkk when three letters picked without replacement from {k: 7}. 1 Two letters picked without replacement from {i: 2, s: 2, t: 9}. Give prob of sequence it. 3/26 Calculate prob of sequence tt when two letters picked without replacement from yttettyettit. 7/22 What is prob of sequence sq when two letters picked without replacement from {v: 1, q: 1, h: 1, s: 2}? 1/10 Four letters picked without replacement from wqqqwqwqqwqqqwqqqqw. What is prob of sequence wwww? 5/1292 Three letters picked without replacement from {n: 4, c: 4, m: 6}. Give prob of sequence nmn. 3/91 Three letters picked without replacement from {y: 3, g: 3, a: 5}. What is prob of sequence ggy? 1/55 Two letters picked without replacement from {r: 5, n: 6, t: 1, e: 4}. Give prob of sequence rr. 1/12 Calculate prob of sequence yi when two letters picked without replacement from {i: 1, w: 1, y: 2, z: 2}. 1/15 What is prob of sequence mtcj when four letters picked without replacement from tmjjmtjjcmk? 1/330 What is prob of sequence xxpp when four letters picked without replacement from {p: 7, x: 5}? 7/99 What is prob of sequence cmcm when four letters picked without replacement from {m: 5, p: 1, c: 4}? 1/21 Calculate prob of sequence uu when two letters picked without replacement from {n: 9, u: 2}. 1/55 Calculate prob of sequence ics when three letters picked without replacement from {v: 2, i: 1, s: 2, c: 6}. 2/165 Two letters picked without replacement from {d: 5, t: 4, e: 6}. Give prob of sequence te. 4/35 Three letters picked without replacement from {s: 2, m: 8}. Give prob of sequence mss. 1/45 Three letters picked without replacement from wwwff. Give prob of sequence fww. 1/5 Two letters picked without replacement from {i: 12, v: 1}. What is prob of sequence iv? 1/13 Four letters picked without replacement from jjjbbjbjjj. Give prob of sequence jbbb. 1/120 What is prob of sequence jx when two letters picked without replacement from {j: 2, o: 1, a: 2, x: 1, i: 4}? 1/45 Calculate prob of sequence re when two letters picked without replacement from eeeerereeeeee. 11/78 Four letters picked without replacement from {w: 1, z: 2, h: 1, k: 1}. Give prob of sequence zwkh. 1/60 Calculate prob of sequence ww when two letters picked without replacement from {l: 1, r: 2, i: 1, w: 12, b: 3}. 22/57 Two letters picked without replacement from {i: 1, e: 2, s: 2, r: 2, p: 3, n: 2}. What is prob of sequence nn? 1/66 What is prob of sequence ct when two letters picked without replacement from {x: 1, t: 1, o: 1, i: 1, c: 3}? 1/14 What is prob of sequence tv when two letters picked without replacement from {t: 1, q: 1, k: 1, w: 2, v: 1, z: 1}? 1/42 What is prob of sequence qiv when three letters picked without replacement from {q: 4, i: 6, v: 1, d: 1, a: 4}? 1/140 Two letters picked without replacement from {j: 6, b: 6, p: 3, a: 4}. What is prob of sequence jj? 5/57 Three letters picked without replacement from hmrmhmjmhr. Give prob of sequence hmm. 1/20 Two letters picked without replacement from lllmgglmmgg. Give prob of sequence lg. 8/55 Three letters picked without replacement from {q: 4, o: 4, m: 8, h: 2, a: 1}. What is prob of sequence qho? 16/2907 What is prob of sequence oknn when four letters picked without replacement from konkknnnonkk? 5/297 Calculate prob of sequence mcyy when four letters picked without replacement from {y: 2, c: 1, m: 1, k: 1}. 1/60 Three letters picked without replacement from {s: 1, a: 3, h: 2, r: 4, i: 4}. What is prob of sequence ihi? 1/91 Calculate prob of sequence ra when two letters picked without replacement from {p: 6, r: 3, a: 2, z: 1}. 1/22 Two letters picked without replacement from nljjnjjjllnjnjnjllll. Give prob of sequence jl. 14/95 Four letters picked without replacement from aaqaqqa. Give prob of sequence qaqa. 3/35 Two letters picked without replacement from {r: 12, c: 7}. What is prob of sequenc
{ "pile_set_name": "DM Mathematics" }
- u. Sort f, -3, t. -3, f, t Let j = -5.06 + 5. Let q = 215/88 - 21/8. Let f be (-18)/(-8) + 18/24. Sort f, j, q. q, j, f Suppose -4 = -2*j + 3*j. Let v be (-1)/(-6) - 95/30. Let x(f) = f**2 - f - 7. Let s be x(v). Sort 4, j, s in increasing order. j, 4, s Let z(a) = a - 9. Let w be z(0). Let n be 2/(-8)*(-8)/w. Let b = -2.6 + 2.4. Sort b, n, 1. n, b, 1 Let x = 1040 - 1039.68. Sort -5, x, 0.5. -5, x, 0.5 Suppose 17*k + 34 = -0*k. Let v be 26/7 + (-2)/(-7). Put k, 3, v in descending order. v, 3, k Let s = 2 + 1. Let c = s + -2. Let o be -1 - ((-44)/(-96))/((-1)/2). Put -0.5, c, o in descending order. c, o, -0.5 Let m = 7741 + -7741. Let r = -6.4 + 6. Sort m, 2/9, r. r, m, 2/9 Let b = -3.4 - -2. Let u = 9.2 + b. Let l = u + -8. Put 2, l, -1 in decreasing order. 2, l, -1 Let i = 0.28 + -0.12. Let f = 0.06 - i. Let d = -0.6 - f. Put d, 0.2, 2 in decreasing order. 2, 0.2, d Suppose 8 = -m + 3*m - 2*f, 2*m + f = -1. Let v(c) = 2*c. Let w be v(2). Sort -8, w, m, 5. -8, m, w, 5 Let t = 39 - 39. Let k = t - -3. Let l(z) = -4*z**3 + 1. Let c be l(-1). Put c, -2, k in decreasing order. c, k, -2 Suppose 0 = -8*c - 3655 + 2911. Sort 1, c, -1, 2 in ascending order. c, -1, 1, 2 Let n = -2.4 + 2. Let x = -57.7 + 58. Let s = -47 + 46.5. Put n, x, s in increasing order. s, n, x Let w be -4 - (-13 - 549/(-63)). Let p = 125/39 + 6/13. Let a = p + -58/15. Put a, w, 0 in descending order. w, 0, a Suppose -q - 145 = 22. Let c = 163 + q. Suppose 12 = 7*z - 2*z - 4*x, 0 = z + 5*x + 15. Put z, -1, c in descending order. z, -1, c Suppose -25*v = -30 + 30. Sort v, -46, -5 in ascending order. -46, -5, v Let m = -1.26 - 0.74. Sort -0.06, 4/5, m in increasing order. m, -0.06, 4/5 Let l be (27/6)/((-45)/309). Let p = l + 61/2. Sort 0, 3/4, p in ascending order. p, 0, 3/4 Let m be -1*(4 + (-18)/5). Put 2/3, m, -2 in decreasing order. 2/3, m, -2 Let v = 35.5 - 33.1. Sort 0.1, -5, v, -0.1 in increasing order. -5, -0.1, 0.1, v Let h = -6.6 - 3.6. Let j = h + 10. Let t be 3 - -1 - (5 - 6). Put j, t, 0.2 in ascending order. j, 0.2, t Let n = 799 + -794. Let l = 34.5 + -29. Let s = l - 5. Put n, s, 3 in decreasing order. n, 3, s Suppose -2*p = -5 - 3. Let y be 5/(5/(-9))*2*(-7)/(-42). Put y, 0, p in ascending order. y, 0, p Let d be (2/(-5))/(2/(-10)). Let q = 0.7 - 0.7. Sort 2/5, d, q. q, 2/5, d Let i be 22 - (-4 + 4) - 4. Let q be ((-2)/i)/((-42)/(-36)). Sort q, 3/5, -3/5, -1 in descending order. 3/5, q, -3/5, -1 Let f = 9 - 8.95. Let p = -0.15 + f. Let v = 26 + -26. Put v, 0.2, p in ascending order. p, v, 0.2 Let s = -9.2 + 10.375. Let b = 0.175 - s. Put -4, b, 0.31, -2/5 in increasing order. -4, b, -2/5, 0.31 Let v = -12.1 - -8.1. Put -1/9, -2, -0.2, v in increasing order. v, -2, -0.2, -1/9 Suppose -27*u + 43*u = 64. Let y(t) = t**3 + 7*t**2 + 6*t - 4. Let l be y(-6). Sort l, -61, u. -61, l, u Let k be (-2)/4*(35 - 35). Put -5, -2/27, k, -10/3 in decreasing order. k, -2/27, -10/3, -5 Let c(z) = z**3 + 5*z**2 - 5*z + 5. Let i be c(-6). Suppose -27*n + 44 = -3*n + 284. Sort i, 3, n in decreasing order. 3, i, n Suppose 0 = -m - 5*w - 9, -3*m - 34 = 3*w + 5. Let v = 446.1 + -446. Sort m, -0.2, -0.5, v in ascending order. m, -0.5, -0.2, v Let a(p) = p**3 - 7*p**2 - 2*p + 8. Let r be a(7). Let k be (-15)/r - (1 + 2). Let c = -906.8 - -908. Put -3/2, c, k in descending order. c, k, -3/2 Let s be (-44)/12 - 6/(-15). Let n = -11/3 - s. Sort n, -3, -1 in increasing order. -3, -1, n Let t = 4.96 + -5. Put 4, t, -4 in increasing order. -4, t, 4 Suppose 18 = 4*r - 5*f + 7, r - 2*f - 2 = 0. Let h be (-124)/(-44) + (-4)/(-22). Suppose -3*a = -0*a + h. Sort a, r, 1. a, 1, r Let n = -17.09 + 0.09. Let p = n - -15.2. Let v = p + 2. Sort 1/4, v, 2/11 in ascending order. 2/11, v, 1/4 Let v(r) = -2*r**3 + 12*r**2 - 2*r + 9. Let u be v(6). Put 3, 30, u in descending order. 30, 3, u Let l = -275 - -323.4. Let u = 48 - l. Put u, -0.3, -0.7, 1 in decreasing order. 1, -0.3, u, -0.7 Let z = 0.1 - -4.9. Let u(j) = j**2 - 2*j - 2. Let q be u(-1). Suppose -2*l + 5 = -k + q, 5*k - 10 = 0. Put 0.3, z, l in decreasing order. z, l, 0.3 Let p = 126.101 + -0.101. Let y = 106 - p. Sort 2, y, 4. y, 2, 4 Suppose 17*f - 36 = 20*f. Let q = f + 11. Let d(r) = -4*r**2 - 2*r. Let x be d(q). Sort 5, x, -3 in increasing order. -3, x, 5 Let m = -89.4 - -93.4. Let u = -0.2 - -0.1. Sort -0.4, u, m, 0.2 in decreasing order. m, 0.2, u, -0.4 Let q = 352 + -359. Put q, -2.7, 0.4, 3/2 in ascending order. q, -2.7, 0.4, 3/2 Let h = 10 + 0. Suppose 46*w + 6 = 45*w. Let y = h + w. Sort -3, 0, y in ascending order. -3, 0, y Let r(z) = -z**3 + z**2 + 2*z. Let h be r(2). Suppose h - 6 = o. Sort o, 2, 3 in descending order. 3, 2, o Let d = -2228.8 + 2229. Sort -0.5, d, 18, -2 in ascending order. -2, -0.5, d, 18 Let d = -4 + 4.1. Let l = -0.8 + -1.2. Let j = 2 - 9/4. Sort d, j, l in ascending order. l, j, d Let t = 131.702 - -0.298. Let w = t - 132.5. Put -5, 5, 1, w in descending order. 5, 1, w, -5 Let k be ((-1)/2)/((-3)/(-18)). Let w be 1*(2 - 6) + 6. Put k, w, -1/8 in descending order. w, -1/8, k Suppose 0 = -5*f + 15 - 0. Let c = f - -5. Let p = -3 + c. Sort -0.1, p, 2/13. -0.1, 2/13, p Suppose -o + h - 53 = 0, 2*h + 112 = -2*o + 6*h. Sort 1, 3, o in ascending order. o, 1, 3 Suppose 8 = -8*h - 16. Put 2, -1, h, -2 in increasing order. h, -2, -1, 2 Let j be 4026/(-165)*(-5)/2. Sort 0, 3, j in descending order. j, 3, 0 Let s be (-2 + 3 - 2)*-10. Let p be (1/2)/(5/s). Sort 2, 22, p in decreasing order. 22, 2, p Let l be (-2)/(-11) - (-12465)/(-495). Put l, 2/7, 0.08 in ascending order. l, 0.08, 2/7 Let s = 827 - 828. Sort -5, s, -129, -4 in increasing order. -129, -5, -4, s Suppose 2*t + 30 = -4*t. Suppose 5*m - 939 = -2*r, -2*r + 201 = m - 6*r. Let b be 2/(-10) + m/45. Put t, b, -1 in increasing order. t, -1, b Suppose -4*f - 12 = -0*f - g, -5*g = -2*f - 6. Let i = -20320 + 20324. Sort i, 24, f in ascending order. f, i, 24 Let q = -25.4 - -25.6. Put q, -5, -0.1, 0.4 in decreasing order. 0.4, q, -0.1, -5 Suppose 17*o = 2369 - 2352. Put 4, 14, o in descending order. 14, 4, o Suppose 26*d - 60 = 46*d. Sort 2/5, 0, d, -0.5 in descending order. 2/5, 0, -0.5, d Let x = 150 - 149.53. Let a = 0.25 + -0.18. Let o = x - a. Sort 0.2, 5, o in ascending order. 0.2, o, 5 Let t = 1369/4 + -343. Sort -2/3, t, 18 in decreasing order. 18, -2/3, t Let v be ((-14)/21)/((-1)/(-51)). Let i be 5/10 - v/(-44). Let h be ((-2)/7)/((-200)/175). Sort 1/6, h, i in descending order. h, 1/6, i Let u = 12/11 - 158/165. Let j = 15/68 + -8/17. Put -5, j, u, -0.3 in increasing order. -5, -0.3, j, u Let u be (21/6)/(17/(-136)). Sort u, -3, 1 in descending order. 1, -3, u Let j = 10 - 9. Sort -1, j, -4 in decreasing order. j, -1, -4 Let d = 4 - 5. Let z = -7.4 - -6.9. Put 40, z, d in increasing order. d, z, 40 Let f be 10/2 - (-95)/(-25). Sort f, 16, -0.5 in descending order. 16, f, -0.5 Suppose 8*g = 5*i + 4*g - 40, -2*i - 3*g = 7. Let s = i - 7. Let v = -0.09 + -3.91. Sort s, 1, v in ascending order. v, s, 1 Let d = -181.5 - -181. Put d, -6, 11/5 in decreasing order. 11/5, d, -6 Suppose -16*k = -11*k - 95. Put 8, -2, k in ascending order. -2, 8, k Let f = 149 + -150.5. Sort f, 1/2, 4, 1/6 in decreasing order. 4, 1/2, 1/6, f Let m be 32/(-4) - -4 - -4. Sort m, -2, 11 in descending order. 11, m, -2 Let u(w) = w + 0*w - 13 + 1 - 7. Let m be u(15). Sort m, -0.4, 2 in decreasing order. 2, -0.4, m Let d = -0.03 - 4.77. Let g = -0.2 + d. Sort -0.2, g, -0.12 in descending order. -0.12, -0.2, g Let n = 0.1 - 0.2. Let m = -536 - -3754/7. Let z = -0.5 + 3.5. Put z, n, m in descending order. z, m, n Let q = -3/109 + -203/545. Sort -0.2, -28, q in descending order. -0.2, q, -28 Let p = -4.639 - 0.061. Let a = 5.2 + p. Sort -3, a, -2/17. -3, -2/17, a Let k(c) = -12*c + 48. Let d be k(4). Sort 26, -3, -5, d. -5, -3, d, 26 Let c = 31 + -44. Let k be c/4 + 0 + 4. Sort k, -2/7, 0.2 in descending order. k, 0.2, -2/7 Let s = 1153/2 - 579. Let y = -7 - -2. Sort 0.05, y, s. y, s, 0.05 Suppose -3*f + 0*f - 3*y + 9 = 0, -f = 4*y. Suppose -v - f*v - 10 = 4*u, 3*v + 5*u + 19 = 0. Sort 5, -5, v in descending order. 5, v, -5 Let x = -130 + 129.5. Sort x, 0.1, 13, -1. -1, x, 0.1, 13 Let l(v) = 40*v**2 - 2*v - 1. Let h be l(-1). Let p = 30 - h. Let u = p + 12. Sort -5, u, 0.1. -5, 0.1, u Let q(a
{ "pile_set_name": "DM Mathematics" }
63*n = -58*n + 295. Let v = 60 + n. Which is bigger: 2/127 or v? v Suppose -4*u - 9 = -5*c, -4*u + u + c = -7. Does 27/10 = u? False Let i be 14/15 + -1 + 0. Suppose -a - 12*a = -26. Suppose a - 2 = r. Is r bigger than i? True Suppose 4*w - 8 = 5*v, w = -w + 5*v + 4. Let a be (w/2)/(3/18). Suppose -3*o = 3*u - a, 6 + 7 = 2*u + 5*o. Is u less than -1? False Let w be (-3)/(-16)*(-12)/(-3). Suppose -7*x - 12 = -x. Let n be x*(4/32 + (-22)/48). Which is bigger: n or w? w Let o = -14 - -10. Let l be 18927/72*o/258. Let k = -14/43 - l. Is k greater than or equal to 5? False Let z = 3.4 + -4. Let s = -0.9 - z. Let h = 395.1 - 395. Which is greater: s or h? h Let w(j) = -j + 39. Let i be w(0). Let k = -38 + i. Which is greater: k or 2/117? k Let u(t) = t - 2. Let y be u(1). Let a = 1 + y. Let b(i) = -i - 7. Let m be b(a). Which is greater: m or -5? -5 Let v(t) = -12*t + 7*t**3 - 2 - 6*t**3 + 3 + 13*t**2 - 2*t**3. Let r be v(12). Let j = -3363/10 + 336. Is j at least as big as r? False Suppose -h + 144 = -5*h. Let o = h + 35. Is 2/7 >= o? True Let y(h) = -3*h**2 - 11*h + 17. Let s be y(-9). Let w be 3/18 - s/(-6). Let i = w - -26. Which is bigger: 6 or i? 6 Let o = 1146 - 1161. Which is bigger: 3 or o? 3 Suppose -3*r - 12 = 0, l - 13 = -2*l + 4*r. Is 1/76 < l? False Let t be (44/6)/((-8)/(-24)). Let i = t + -23. Is -21/10 not equal to i? True Suppose 135 = -15*m + 90. Which is bigger: 1/95 or m? 1/95 Let f = 31828 + -350379/11. Is -26 at most f? True Let d = -279131413 - -11498539432827/41194. Let q = d + 1/958. Is 1 > q? True Let u = 1299 - 1135. Which is smaller: u or -3? -3 Let t be 21/6 - 6/(-4). Suppose t*b + 3*u = -9, 0 = 3*b - 6*b - 4*u - 12. Which is bigger: b or -4/11? b Let v = -14 + 29. Let y(t) = 9*t - 13. Let g be y(3). Which is greater: g or v? v Let z = -250 - -38. Which is greater: -213 or z? z Let s = -16 - -15. Let z be 0 - (s - (0 + -1)). Suppose -r + z*r + 2 = 2*d, -4 = -2*d - 2*r. Is d greater than or equal to -1/25? True Let c = 35.22 + -37. Let n = c - 0.22. Is -1/3 smaller than n? False Let w(h) be the third derivative of h**6/120 - 2*h**5/15 - 5*h**4/24 - h**3/6 - 12*h**2. Let v be w(8). Which is bigger: v or -39? -39 Suppose 0*l - 5*l = 305. Let c = 58 + l. Which is smaller: c or -7/3? c Let v be -1 + (-153)/(-2) + 592/1184. Which is smaller: v or 70? 70 Let i be (-185)/(-537) - (-1)/(-3). Which is smaller: 0 or i? 0 Let c = -420 - -419.97. Which is smaller: 1/2 or c? c Let j = -0.036 - 46.964. Let d = -46.93 - j. Let r = -0.1 - -0.1. Which is greater: d or r? d Suppose -51*r = 5*t - 52*r - 236, 233 = 5*t + 2*r. Let v = -0.3 - -1.3. Which is smaller: v or t? v Let u = -11 + 53. Is 4 bigger than u? False Let h = -1759 + 1660. Is h greater than -98? False Let q = 31 + -1. Let u = q - 16. Let z be 49/u*3/14. Is 1 less than z? False Let j(q) = q**2 - 6*q + 1. Let y be j(6). Let u = -17 - -16.47. Let c = 1.13 + u. Which is smaller: y or c? c Let b = 666 - 667. Does -5/98 = b? False Let g be 15/6*1*6. Let k = g - 7. Let p(a) = -a**2 + 19*a + 49. Let u be p(21). Are k and u nonequal? True Suppose 0*i = 4*i - 28. Let q = 0.17 - -6.83. Let n = q - 7. Is i < n? False Let t = -11.8 - 0.2. Let f = 13.12 + t. Let z = 0.12 - f. Which is smaller: z or -1/2? z Let y = -214 - -202.9. Let t = y + 11.5. Is 1 <= t? False Let y be (-18)/12*72/14. Which is smaller: -7 or y? y Suppose 2*y + 14 = -12*y. Which is smaller: y or 163/5? y Suppose -3*w + 54 - 9 = 0. Let g be (-4)/((-40)/15)*28/3. Which is smaller: w or g? g Suppose 4*q - 2*n - 12 = 14, -2*q = 3*n - 17. Suppose 0 = -15*p + 29*p. Suppose p = -q*x + x. Is -4/3 > x? False Let d = -187 + 184. Let n = -0.3 - -0.2. Let f = 0.3 + n. Which is bigger: f or d? f Let s be (-3 - -1) + (-14)/(-14) - 0. Let q = 11 + -10. Which is bigger: q or s? q Let p = -924 - -924. Which is smaller: -198 or p? -198 Let c be 10 + (-10 - -5) - (-3 + -58). Is 65 equal to c? False Suppose 2*z = 4*k - 18 - 50, -3*k + 33 = 3*z. Let b be 4/6*k/10. Suppose -3*a - g = b, 2*g = a + 9 - 4. Are -1 and a non-equal? False Suppose -76 = 4*r - 8*r. Let a be 10/(-75) - 5436/(-270). Are r and a equal? False Suppose 0 = -z + 1 - 142. Let n be z/(-12) + (-3)/(-12). Let m be 5 + 3 + 3 + 0. Which is smaller: n or m? m Suppose 3*z = 2*q - 79, 4*q = 4*z + 14 + 90. Do z and -0.7 have different values? True Let v = -34.7 + 34.6. Is v bigger than -2/121? False Let j be (12 + -13)*(-2 + -124). Is j greater than or equal to 0? True Suppose 23*g + 339 = 1650. Which is bigger: g or 54? g Let g = -13 - -2. Let u = -9.96 - 0.04. Let q = g - u. Which is greater: -0.2 or q? -0.2 Let t be (-2 - 1 - -2) + 16. Suppose -2*w + 2*c + 2 = 3*c, w = 3*c + t. Suppose -l + 4*l = w. Which is smaller: -2/9 or l? -2/9 Let w(p) = -8*p - 13. Let h(k) = k**3 - 13*k**2 - 29*k - 22. Let x be h(15). Let o be w(x). Which is bigger: 44 or o? 44 Let z be 2/28*220/(-11). Let u = -41 + 41. Which is bigger: z or u? u Suppose -x - 10 - 18 = 0. Let h be 36/(-44) + 1 - (-642)/(-22). Is x at least as big as h? True Let k be 9/(-2)*(-9 + 11). Let i be 116/78 + (24/k)/2. Suppose -4*g - 4 = 0, -3*n = -0*n - 2*g - 5. Which is greater: n or i? n Let a(m) = 143*m - 291. Let f be a(2). Let u be 13/(1*-1 + 0). Let w = u - f. Is -2 at most as big as w? False Let a = -65.33 + 65. Let o = a + -4.67. Let k = 5 - 6. Which is smaller: o or k? o Let l = -42116 - -42130. Let d(u) = u**3 - 5*u**2 - u + 2. Let r be d(5). Is l less than r? False Let o = -159 - -253. Let d = -91 + o. Which is smaller: d or -5? -5 Let h be -1*1143/2358 + 2/4. Let g = h - -119/786. Which is bigger: 1 or g? 1 Let j(t) = 2*t - 10. Let h be j(8). Let b = -71 - -98. Let z = b - 21. Is z < h? False Suppose 0 = -4*z - 5 + 17. Suppose 0 = -t + z*r - 11, 5*t - 2*r - 13 = -4*r. Which is smaller: t or 1/51? 1/51 Suppose 0 = 4*y + 5*d - 39 - 90, -y - 4*d = -46. Let p be -1*y/(-4 + 6). Is -14 greater than or equal to p? False Let h = 852 + -7676/9. Is h equal to 2? False Let f be (1 - -1) + (-3)/1. Let z = -14.2 + 15. Let l = -2.1 + z. Is f equal to l? False Let r(h) = -h**2 - 9*h + 11. Let a be r(-9). Let f = 13 - a. Suppose -2*q = q + 3*b + 15, -q = -f*b - 10. Which is smaller: q or -1? -1 Let t be (-4 - (0 - 4))/(-1). Let w(n) = -n**3 + 6. Let r be w(t). Suppose -15 = -5*c + 5*u, -r = -4*c - 2*u + 4*u. Do 0 and c have the same value? True Suppose -16*c + 13*c + 48 = 0. Let r = 19 - c. Suppose -r*w + 19 = 3*d - 5, -5*w + 5*d + 90 = 0. Which is smaller: 11 or w? 11 Suppose -2*j = -5*h - 274, 5*h + 142 = -27*j + 28*j. Which is bigger: 136 or j? 136 Let k = -1094/7 - -156. Let q be 1 + 1 + 9/12*-4. Are q and k unequal? True Let s = -0.6 + 0.5. Let o be 18308/(-30580) + 12/20. Let i = o - -2996/47399. Which is greater: i or s? i Suppose -445 = -b + 8*b - 312. Let q be (132/15)/1*-2. Which is greater: q or b? q Let l be (6*1)/(42/(-280)). Let x = -36 - l. Do x and 3 have the same value? False Let z(t) = t**2 - 4 - 24 - 12. Let x be z(0). Let n be (2/4)/((-4)/x). Do 5 and n have different values? False Let d = -15 + 15. Suppose -c - 16 = 5*k - 10*k, d = -c + 3*k - 8. Suppose 0*t + c*t - 4 = 0. Which is greater: t or 2? 2 Let j = -0.32 - -51.32. Let g = -53 + j. Is -0.3 bigger than g? True Let h = 46.47 + -6.47. Let g = -1.9 - -2. Is g bigger than h? False Let q(i) = 8*i**2 - 17*i - 24. Let k be q(-6). Which is smaller: k or 365? 365 Suppose -8*s + 5*s = -36. Suppose s*g + 12 = -0*g. Is -14/11 < g? True Let j be 1572/(-276) + 1 + 6. Which is bigger: 1 or j? j Let u be (42/(-8))/(2/208). Let x be 8/(-28) - (-152)/u. Let h = 3/13 + x. Does -10 = h? False Suppose 2*h = 6*h - 120. Suppose 0 = -6*s - h - 0. Which is greater: s or -29/6? -29/6 Let p = 0.018 + -1.418. Let t = 4.6 - p. Which is smaller: t or -2? -2 Let q = 0.697 + 0.303. Is -428/7 >= q? False Let n(d) = -d - 8. Let o be ((-18)/(-8))/((-1)/4). Let f be n(o). Let p be f/(2*(-1)/22). Is -9 < p? False Suppose 3*y + u + 58 = 2*u, 0 = -2*y - 4*u - 34. Let i(l) = 2*l**2 + 41*l + 177. Let o be i(-13). Which is bigger: y or o? o Suppose 11 = 2*y + c, y - c = c - 7. Suppose y + 7 = -v. Let i = -0.1 - 0.1. Is v smaller than i? True Let p(q) = -q**2 + 9*q. Let f be p(5). Suppose -5*s + 10 = 0, 2*z + 0*s - s = f. Is 11 less than z? False Let m = 4 + -8. Let d = 2021/5368 - 1/671. Whic
{ "pile_set_name": "DM Mathematics" }
**2 + b + 5. Let x be a(-5). Let y(d) = d - 1. Let p(n) = 2*n + 1. Let w be p(2). Let i be y(w). Sort x, i, 3 in ascending order. x, 3, i Let w = 5.7 - 6. Let i = -10 - -9.6. Put i, -4, w in descending order. w, i, -4 Let v = -7.2 - -7.3. Put v, -3/7, -0.2 in descending order. v, -0.2, -3/7 Let v = 16.2 - -3.6. Let a = 20 - v. Sort a, -3, -1 in increasing order. -3, -1, a Let c = 1.2 - 1.2. Sort c, 1, 0.5, -2/5 in ascending order. -2/5, c, 0.5, 1 Suppose -2*z = -4*b - 3*z, 0 = -2*b - 4*z. Sort -8, b, -5, -3. -8, -5, -3, b Let c = 29.9 - 33. Let z = c + -0.9. Sort z, 0.1, -0.3 in decreasing order. 0.1, -0.3, z Suppose 0 = 5*d + 5*n + 45, -d = -3*d + n - 15. Let f = 8 - 5. Put d, 2, f in decreasing order. f, 2, d Let t = -0.5 - -0.3. Put 2, -0.5, t, 2/15 in ascending order. -0.5, t, 2/15, 2 Let n = -0.05 - 3.95. Let l be (-7 + 8)*2/(-8). Sort l, n, -2/9 in increasing order. n, l, -2/9 Let y = -83/2 - -42. Sort -2, y, -4/41, 2. -2, -4/41, y, 2 Suppose -q = 3*y + 13, -3*q + 2*y + 3 + 13 = 0. Suppose 3*k + 0*k = 3. Let w be ((-4 - -3)*1)/k. Put w, q, -2 in increasing order. -2, w, q Suppose -h + 2 = -2*y, -2*h - 2*y - 2 = -0. Sort -0.3, h, -1 in descending order. h, -0.3, -1 Let q be (-2)/6*(-12)/(-2). Suppose 0*n - n = a + 2, 10 = 5*a. Let m(w) = -w + 4. Let u be m(9). Put u, n, q in increasing order. u, n, q Suppose 4*x = 4*p, -4 = 3*x - p - 2. Put -7, x, 0.5 in ascending order. -7, x, 0.5 Suppose 5*r + 5*z - 2*z + 40 = 0, 4*r + 15 = z. Let f be (-1)/r*15/9. Let q = -0.1 + 0.1. Sort f, -0.3, q in decreasing order. f, q, -0.3 Let f be 2/30 - (-2)/6. Suppose -2*w - 2*w + 16 = 0. Suppose 13 = -w*z + 1. Sort z, -5, f in descending order. f, z, -5 Let q = 0.8 - 0.7. Sort -2/23, -12, q. -12, -2/23, q Let l = -3.7 + 5.7. Put -5/2, l, 3/4 in decreasing order. l, 3/4, -5/2 Let q = -0.2 - 4.8. Suppose -51 = -0*s + 3*s. Let c be 2/7 - s/(-35). Put 2, c, q in increasing order. q, c, 2 Let q = 0.3 + 0.1. Let n = 5.2 - 0.2. Sort q, 0, n in ascending order. 0, q, n Let a = -0.1 - -3.1. Let n = 6 - 4. Let w be (n/(-3))/(4/(-2)). Put w, a, 2 in decreasing order. a, 2, w Let m be (-12)/40*2*-15. Suppose -2*w - w - 9 = 3*t, -5*w - 3*t = m. Let r be (-2)/4*(-12)/(-2). Put -2, w, r in decreasing order. w, -2, r Suppose 24 = 4*r - 16. Let b be (-66)/(-14) + r/35. Sort b, -1, 2. -1, 2, b Suppose -4*o + 2 + 2 = 0. Let p = -2 - o. Put p, -4, 0 in ascending order. -4, p, 0 Suppose -5*o + 17 = -q, 3*q - 13 - 8 = -3*o. Let m(b) = b**2 - 6*b + 6. Let v be m(o). Put -3, -5, v in increasing order. -5, -3, v Suppose 6*c - c = -4*o - 33, 4*o = 3*c + 7. Put c, -1, 2 in increasing order. c, -1, 2 Let l = -8 + 7.8. Sort 3/5, -1/9, l, 3 in ascending order. l, -1/9, 3/5, 3 Let c(q) = -q**3 - 4*q**2 - 4*q - 4. Let p be c(-3). Let n = -3 - p. Let g = -7 - -4. Sort 0, g, n. g, n, 0 Let a = -0.6 + -0.2. Let g = -0.2 + a. Let x = g + -2. Sort -1/3, 0, x in ascending order. x, -1/3, 0 Let q = -4.87 + -0.13. Sort q, 1, -2 in increasing order. q, -2, 1 Let q = 83 - 84. Sort 3, q, -2, -3. -3, -2, q, 3 Suppose -5*y + 5*u = -15, 5*u - 16 + 1 = 0. Suppose 0*r - y = -3*r. Sort r, -5, -1. -5, -1, r Let x(s) = s**2 - 6*s + 2. Let k be x(5). Let r(t) = -t**3 - 4*t**2 - 2*t + 1. Let a be r(k). Put 3, -3, a in ascending order. -3, a, 3 Let s = -36 + 37.98. Let r = 2 - s. Let l = 0.42 - r. Sort l, 1/2, -0.4 in descending order. 1/2, l, -0.4 Suppose 0*b - 5*b = 0. Suppose -8*t + 6*t + 4 = 0. Sort b, t, -5 in ascending order. -5, b, t Let l = -1.7 - -2. Let k be (0 + 3 + 21/(-14))/(-3). Put k, l, -4/5 in ascending order. -4/5, k, l Suppose -y = 3*y - 8. Suppose -y*d = d. Sort -3, d, 3 in decreasing order. 3, d, -3 Let y(v) = 2*v. Let j be y(-3). Let k(o) = -o**2 - 5*o + 8. Let x be k(j). Put x, 0, -4 in descending order. x, 0, -4 Let g = 7.3 - 7. Let b = 1.13 - -3.87. Sort -1, b, g in increasing order. -1, g, b Let x = -4 - -7. Let h = 9 + -9. Let n = h + x. Put 0, n, 2 in ascending order. 0, 2, n Let m = -10.8 - 3.4. Let l = 16 + m. Let h = 0.8 - l. Put h, -4/7, 2 in increasing order. h, -4/7, 2 Let q = -43 - -42. Sort -3, -5, q, 3. -5, -3, q, 3 Suppose 4 - 10 = 6*d. Let m(b) = b + 8. Let i be m(-6). Sort d, 4, i in ascending order. d, i, 4 Suppose -t + 29 = -4*x - 6*t, -15 = -5*x + 4*t. Let p be 1/(1 + 28/(-35)). Sort -3, p, x in decreasing order. p, x, -3 Let l(q) = q**3 + q**2 - 6*q - 2. Let w be l(-3). Sort 5, 1, 4, w in ascending order. w, 1, 4, 5 Suppose -4 = 4*n + 4*m, -4*n - n - m + 11 = 0. Sort -8, 5, -4, n. -8, -4, n, 5 Let g = 2 + -7. Sort g, -3, -1 in descending order. -1, -3, g Let w = 0.3 - 2.3. Let h = 269/21 + -38/3. Sort w, h, 4. w, h, 4 Let m = -32 - -48. Let w = m + -20. Sort w, -0.2, -1/4 in descending order. -0.2, -1/4, w Let k = 20 + 22. Let i be (4/k)/((-4)/(-24)). Let t = 1 + -1. Put t, 1/4, i in descending order. i, 1/4, t Let h = 0.141 + -4.141. Let p(m) = 3*m**2 + 4*m + 3. Let g be p(-2). Let b be -3*((-1)/g - 0). Sort 1/4, b, h. h, 1/4, b Let r = -0.7 + -2.3. Let i = 138 + -132. Put -4, i, r in decreasing order. i, r, -4 Let c(y) be the first derivative of -y**4/4 - 7*y**3/3 - 5*y**2/2 + 4*y + 2. Let k be c(-6). Let b be k*((-5)/(-2))/(-1). Sort 0.1, 2, b in decreasing order. b, 2, 0.1 Let a = 20 + -14. Let k(c) = -3*c - 19. Let u be k(-6). Sort a, 4, u in decreasing order. a, 4, u Let k = 0.1 + -0.1. Let x = -0.07 + -2.93. Let d = x + k. Sort -1, 1, d in increasing order. d, -1, 1 Let g(q) = q**2 + 5*q - 9. Let z be g(-9). Let k be (-28)/207 - (-6)/z. Sort 5, 3, k in decreasing order. 5, 3, k Let p = 2 - 1.7. Let k be ((-5)/(-10))/((-21)/(-24)). Sort -4, k, p. -4, p, k Let t = -3.2 + -0.8. Put -0.2, 2/13, t in descending order. 2/13, -0.2, t Let g = 15.91 + -16. Let s = 691.09 - 686. Let v = g + s. Put v, 0, -2 in increasing order. -2, 0, v Suppose 2*g - 2*q = 10, 4*q - 47 = -5*g - 4. Let z be (-2)/g - 18/(-14). Suppose 2*m = o + 2, m + 0*m + 2*o + 9 = 0. Put -3, m, z in descending order. z, m, -3 Suppose 0 = 7*u - 4*u + 18. Put -4, 5, u in descending order. 5, -4, u Let c = -17 - -12. Suppose 0 = 2*y - l + 13, -2*y + y = -2*l + 14. Suppose 3*o - 5 = 7. Put c, y, o in increasing order. c, y, o Let k(w) = -w**3 + 7*w**2 + 5. Let a be k(7). Let q(n) = -n - 7. Let h be q(-5). Let v be (-1)/(h/4) - 5. Sort a, 4, v. v, 4, a Let n = -5.9 + 6.3. Sort 3, 5, n in descending order. 5, 3, n Let k = 73 - 76. Put k, 3, 0.02, 0.1 in descending order. 3, 0.1, 0.02, k Let o = 4 - -3. Suppose g + o*c - 2*c = 0, -2*g = 2*c. Put 5, g, 2 in increasing order. g, 2, 5 Let j = -99.43 - -100. Let m = j - 0.27. Sort m, -4, -2/13 in ascending order. -4, -2/13, m Let x be 310/18 + 4/(-18). Suppose -x = -2*w + z - 4, 0 = 4*w - 5*z - 41. Suppose 4*o = 3*d - 7, 0*o + 9 = d + 2*o. Sort d, w, -1 in decreasing order. d, w, -1 Suppose -8*h + 7*h + 4 = 0. Sort h, -5, 3 in descending order. h, 3, -5 Let j = -46 - -58.9. Let z = j + -13. Sort z, 2, 0.2 in decreasing order. 2, 0.2, z Let b be 22/8 - (8 - 5). Put 3, b, -4/3 in increasing order. -4/3, b, 3 Let h = 76 + -74. Sort h, 1, 0, -3. -3, 0, 1, h Let a = 31 - 156/5. Let i(z) = -2*z - 1. Let n be i(-1). Sort -3, n, a in descending order. n, a, -3 Let s = 4.88 - -0.12. Let i = -5.2 + s. Put -0.3, 1, i in increasing order. -0.3, i, 1 Let p = -66 - -59. Put -0.4, -1, p in descending order. -0.4, -1, p Let g(u) = -u**2 + 6*u + 1. Let d be g(4). Let r = d - -1. Let h(y) = -y + 9. Let m be h(r). Put 5, -4, m in descending order. 5, m, -4 Let b(r) = -2*r - 1. Let y be b(-1). Let j be (-2)/(-8) + 35/20. Put 0, j, y in ascending order. 0, y, j Suppose 2*y + 3*m + 6 = 0, -15 = 2*y + 3*y - 4*m. Sort 0, -1/5, y in increasing order. y, -1/5, 0 Suppose -33*j + 28 = -26*j. Put -1, j, 2 in decreasing order. j, 2, -1 Suppose 0 = -2*g + 19 - 25. Put -7, g, 3 in decreasing order. 3, g, -7 Let f(j) = j**3 - 6*j**2 + 6*j. Let t be f(5). Let u be ((-24)/9)/(-4)*3. Suppose u*l + v = 3, 3*v - 25 = -2*v. Sort 0, t, l. l, 0, t Suppose 0*m = -u + 3*m + 5, -m = -2*u. Sort -4, u, 4. -4, u, 4 Let w(p) = p + 15. Let h be w(0). Let l be h/18 + 2 + -3. Put l, 2/13, -5 in ascending order. -5, l, 2/13 Suppose -46*q = -48*q - 4. Let s = -1 + -3. Sort 4, s, q in increasing order. s, q, 4 Let b = 12 - 7. Put 1/3, -1/3, b in ascending order. -1/3, 1/3, b Let i be 8*((-7)/(-2) + 3/(-1)). Let
{ "pile_set_name": "DM Mathematics" }
45*-5? -2/13 What is (2/(-12))/(((-33)/(-12))/(660/160))? -1/4 (-1*4/250)/((-9)/(-45)) -2/25 Evaluate 2121/17675*(-2)/(-3)*-1. -2/25 What is the value of ((-4)/(-12)*-2)/((-19)/((-41667)/(-86)))? 17 What is the value of 13*(-18)/(-54)*(-15)/10*2? -13 What is (-14)/1806*(18/1)/(-3)? 2/43 What is (125/(-30))/(45/(-12))? 10/9 Calculate 825/990*(-3)/(-5)*0. 0 Calculate 252/(28/2)*(-3)/9. -6 8/(-88)*2*132/(-6) 4 Evaluate (-12)/(-216)*63*-2. -7 What is the value of (572/4290)/(1*(-1)/6)? -4/5 What is the value of ((-11)/88)/(48/(-256))? 2/3 What is the value of ((-1)/((-4)/(-8)))/(3/6*8)? -1/2 Evaluate ((-1131)/1131)/((-2)/(-22)). -11 Evaluate 21/9*274/(-3836). -1/6 What is 8/(-10)*2680/4288? -1/2 What is 214/(-1070)*30/(-6)*(-4)/(-10)? 2/5 Calculate ((-7)/70)/(-25*15/300). 2/25 (-189)/420*5/(-6)*-1 -3/8 What is 59/((-4956)/126)*(-4)/62? 3/31 What is the value of (-14)/2*-6*1*(-158)/948? -7 Calculate 80/700*35*1/14. 2/7 Calculate (-35)/105*11/1. -11/3 What is the value of (-64)/18*(-1641)/8752*(-69)/(-2)? 23 What is 10/45*-3*186/124? -1 12/135*135/(-30) -2/5 Evaluate (-2)/(((-3)/(-6))/(2/(-4))). 2 Evaluate (-105)/63*(16416/80)/(-19). 18 What is the value of 30*11/385*-28*4/(-8)? 12 (-34)/(-4)*(-67)/((-23919)/42) 1 (99/297)/(((-6)/8)/(-3)) 4/3 Evaluate 65/585*(-2)/1. -2/9 Calculate ((4/(-30))/((-311)/(-1866)))/((-4)/(-110)). -22 Evaluate -7*18*(-144)/1134. 16 Calculate (1/45)/(-6*7/504). -4/15 Calculate 596/1639*176/4. 16 What is the value of (-14)/(-98)*3/(9/3)? 1/7 147/84*15/(-105) -1/4 (-5*(-18)/(-135))/((-35)/(-21)) -2/5 What is the value of ((-10)/(-1)*8/(-16))/(30/(-150))? 25 ((-1)/((-15)/12))/(33/(2475/(-50))) -6/5 What is the value of ((-43)/(-43))/((15/3)/(98/14))? 7/5 20/8*((-128)/45)/(-32) 2/9 Calculate 21/84*1*8/(-12). -1/6 Evaluate (1*(-9)/(18/8))/(476/14). -2/17 Evaluate ((-31460)/(-13310))/(2/(-22)). -26 What is the value of 47/(3243/(-184))*(-3)/32? 1/4 ((-96)/66)/(30/(-33))*5 8 Calculate ((-35)/65)/(24/936*-3). 7 (-6)/(((-195)/26)/15) 12 What is the value of 10/(26*205/3731)? 7 Evaluate (-2)/(-40)*2400/120. 1 What is the value of 60*35/(15225/58)? 8 Evaluate (8/4)/(((-4760)/(-850))/((-12)/(-10))). 3/7 What is (-3)/12*(-288)/(-12)? -6 Evaluate 30/15*7/(-56). -1/4 What is the value of ((-243)/(-12))/(-9)*((-35)/5)/84? 3/16 Calculate ((-42)/54)/(1078/(-231)). 1/6 What is ((-2)/3)/(-10*(-23)/(-115))? 1/3 What is ((-6)/54*-6)/(308/(-66))? -1/7 Evaluate (800/(-400))/(24/(-10)). 5/6 Evaluate (5*11/(-110))/((-1)/(-1))*26. -13 Evaluate (-110)/(-462)*270/75. 6/7 What is ((-37)/((-666)/(-12)))/(7/(1932/(-8)))? 23 Calculate (-5)/(70/(-4))*30/(14640/56). 2/61 ((154/99)/(6/162))/6 7 ((58/6)/(-29))/((-3)/((-396)/8)) -11/2 What is (-26)/((-8)/14*25/(-100)*14)? -13 Evaluate 20/12*(-15)/10*1. -5/2 Calculate ((-9)/6)/(((-177)/(-413))/(2/42)). -1/6 What is (28/(-686)*-7)/((-2)/(-28))? 4 What is the value of 2/(-11)*(-97152)/(-768)? -23 Evaluate (((-240)/375)/((-5)/((-25)/2)))/(-2). 4/5 Evaluate (-38*225/9975)/((5/(-28))/(-5)). -24 What is the value of (-6)/4*(-2)/3*(-110)/10? -11 What is 5/50*10*-1? -1 Calculate 372/(-8)*2/(1*6/(-2)). 31 Evaluate 12/9*(56/(-48))/(4/36). -14 ((-60)/75)/((-7)/(-70)) -8 Evaluate (2/(-3))/((-95)/(-57))*(-50)/(-20). -1 189/21*(-13)/(35217/14) -2/43 360/216*87/(-5) -29 Evaluate ((-2)/(-20))/((-27)/30*298/447). -1/6 Calculate 30/8*40/(-1900)*-19. 3/2 What is the value of (10*63/(-420))/(6/10)? -5/2 What is ((-40)/25)/(-2*5/200*-4)? -8 What is ((-8)/5)/((-24180)/2325)? 2/13 0/((-5)/(-5)*(-110)/22) 0 Calculate ((-14)/140*55)/((-2)/4). 11 What is ((-725)/(-110))/29*(72/15)/(-6)? -2/11 ((-39)/(-104)*-14)/(12/(-32)) 14 ((118/708)/((-1)/(-6)))/(124/(-8)) -2/31 What is (2318/122)/((-5)/(-5))? 19 What is (-4)/(-1)*12/16? 3 (9/5)/((-8)/(-2)*(-25)/500) -9 What is 3*((-2)/(-6))/((-50)/(-700))? 14 Evaluate 8/40*210/(-735). -2/35 23/(1/(-1))*1*26/26 -23 7665/(-438)*(-30)/(-21) -25 What is (250/(-500))/((20/(-3))/(-5))? -3/8 What is (25/5)/((25080/(-48))/(-19))? 2/11 ((-30)/21)/(((-6)/(-21))/(2/(-1))) 10 What is the value of 4*-92*(-12)/192? 23 What is (-12)/(-22)*22*1/40? 3/10 Evaluate ((-2)/(-4))/((-2)/(-4))*-5. -5 Calculate (2/(-712))/(((-4118)/464)/71). 2/89 What is ((-32)/(-112))/((-23)/805)? -10 Calculate (-26)/(-22)*(-3060)/(-13260). 3/11 (-7)/(126/24)*20/(-120) 2/9 112/(-176)*19/133 -1/11 What is ((-3)/(-1))/((-6)/4)*(-23)/230? 1/5 Evaluate 3/(5/(-5))*65/39*3. -15 What is (-3450)/460*(-54)/(-15)? -27 (-24)/(-12)*(-20)/88*28/14 -10/11 (((-9)/((-4)/4))/3)/(126/4) 2/21 ((-159)/(-954))/((-2)/(-336)*4) 7 What is (2/12)/(8993/(-6348))? -2/17 (-9)/66*(-3410)/465 1 Evaluate (-5)/(-5)*0/1*12/12. 0 Evaluate (3/(30/4))/(98*140/(-2450)). -1/14 What is ((-15)/4)/(21/(-56))? 10 Calculate 1936/42350*(-14)/8. -2/25 What is the value of ((-2)/(-33)*-3)/(3888/(-49896))? 7/3 Evaluate 10/(-48)*-40*18/15. 10 Calculate 56/6*270/(-150)*(-15)/(-18). -14 (-24)/10*(-32)/96 4/5 What is (18/(-4))/((-2)/(-16))*(-276)/1104? 9 Calculate 5*-1*10/(-125)*5705/652. 7/2 What is the value of ((-12)/(-2))/(63/4)*(-3123)/2082? -4/7 (-19)/(513/45)*8/20 -2/3 Evaluate ((-209)/23199)/(1/18*2). -3/37 Calculate (-4)/(-12)*(-558)/9951. -2/107 Calculate (-107)/((-3745)/294)*10/6. 14 Evaluate ((-6)/15)/(21/18*(-5)/(-175)). -12 Calculate ((-30)/(-4))/(((-150)/500)/1). -25 What is the value of ((6/(-8))/((-75)/40))/(145/290)? 4/5 What is 14/(-30)*11826/(-68985)? 2/25 What is ((-4)/34)/((5852/323)/(-28))? 2/11 -10*(-8)/(-60)*9/3*-1 4 What is the value of (-3)/(2/(-12)*(-162)/81)? -9 Evaluate (1115/2676)/(25/(-8)). -2/15 Evaluate ((-84)/(-1365))/(6/39). 2/5 What is (45/(-2))/(-1)*(-198)/(-990)*-4? -18 Calculate ((-42)/(-144))/((-1)/(-4))*10/105. 1/9 What is (-3)/3*(-740)/74? 10 Evaluate 5/2*(-360)/1350. -2/3 Calculate (-9)/42*56/(-240). 1/20 Calculate (1680/(-196))/30*-35*1. 10 What is the value of ((-1)/(-5))/(107/(-3210))? -6 What is ((350/5)/5)/((-6)/(-3))? 7 Calculate 3/(30/(-8))*15/(-180)*10. 2/3 What is ((-8)/(-3))/(15*52/3510)? 12 Calculate ((-6)/102)/(65/(-3315)). 3 Calculate 5*-1*6/((-16)/48*-6). -15 What is the value of ((-7)/(-18))/(76*21/6384)? 14/9 Evaluate (-7)/(((-10)/(-16))/((-9)/(-1296)*18)). -7/5 What is 23/((-1449)/42)*(-75)/10? 5 What is the value of 126/168*7/((-294)/(-64))? 8/7 Evaluate ((70/(-56))/(1/4))/(3/3). -5 What is (-616*15/(-360))/7? 11/3 Calculate (18900/(-1750))/((-54)/20). 4 What is (-5)/((45/(-90))/(2/2))? 10 Evaluate (1200/250)/((-440)/100). -12/11 ((-7)/(105/(-10)))/(((-60)/(-54))/(-10)) -6 ((4/6)/(20/(-48)))/(90/1350) -24 What is ((-8)/14)/1*24738/25916? -6/11 What is the value of (144/1848)/((-6)/42)? -6/11 Evaluate (-1*(-4)/(-14))/((-394)/12411). 9 (-10)/(-38)*-5*39/975 -1/19 Calculate ((-1)/3)/((711/(-270))/79). 10 Evaluate (-11)/(-55)*(-25)/1*5. -25 Calculate -9*12/1008*16. -12/7 What is the value of (6528/72)/(-34)*(-198)/(-168)? -22/7 (0/((-44)/4))/4 0 Evaluate 11*-10*17/(-170). 11 What is (-26)/(-39)*42/(-224)? -1/8 Calculate (2/(-11))/(-1)*(-168)/(-196)*-7. -12/11 Evaluate (29/(-1131))/(7/21). -1/13 What is 1/2*(-5)/6*(-120)/225? 2/9 1161/1290*(-112)/36 -14/5 40/(-60)*30/(-35) 4/7 What is the value of (3/(-20)*-1)/((-17)/(-85))? 3/4 Evaluate (-10)/(280/(-21))*60/(-15). -3 Evaluate ((-78)/13)/(-12)*21/(-6). -7/4 What is the value of 3/(-9)*2*231/(-110)? 7/5 Calculate (-1280)/192*126/910. -12/13 Evaluate ((-108)/(-99)*6/(-4))/((-140)/1540). 18 Evaluate ((-324)/(-891))/((-248)/(-44)). 2/31 What is (34/(-85))/(222/370)? -2/3 ((-4)/2)/((-3565)/(-155)) -2/23 Evaluate (364/(-273))/((-15)/18*-4). -2/5 Evaluate 120/912*19*4. 10 Calculate (-4)/(-12)*-9*112/42. -8 What is the value of -1*(-4)/2*(-22)/(704/16)? -1 What is the value of ((-96)/(-112))/(128/(-56))? -3/8 Calculate (((-9)/(-14))/((-8660)/(-18186)))/((-3)/8). -18/5 (2/(-18))/(1950/(-1170)) 1/15 (22/231)/((-18)/42) -2/9 Evaluate ((-73)/((-16352)/(-960)))/(3/(-7)). 10 What is the value of ((-380)/95)/(6/(-9)*(-6)/(-13))? 13 What is the value of (56/4)/(-1)*(-152)/266? 8 What is ((7/(-2))/(1/(-8)))/(-2)*-1? 14 What is (36/(-27))/(20/(-120))? 8 What is the value of ((-9)/(-270))/((-1)/(-6))? 1/5 Calculate (1768/(-91))/34*7/(-30). 2/15 Calculate 7/(21/18)*-5*7/105. -2 What is the value of -4*((-30)/(-165))/((-36)/(-33))? -2/3 What is the value of (3/(24/(-10)))/(((-1995)/76)/(-35))? -5/3 W
{ "pile_set_name": "DM Mathematics" }
{x: 1, n: 1, g: 2, s: 1}. 1/10 What is prob of sequence pp when two letters picked without replacement from bpkzmbkbbb? 0 Three letters picked without replacement from nncnleeanlvv. What is prob of sequence lnn? 1/55 Two letters picked without replacement from {i: 1, k: 1, h: 4, q: 3, v: 2, t: 4}. What is prob of sequence tq? 2/35 Three letters picked without replacement from tnntrr. Give prob of sequence tnn. 1/30 Three letters picked without replacement from uauaiwdxuaux. Give prob of sequence idw. 1/1320 Two letters picked without replacement from {l: 5, k: 2, j: 9, z: 3}. Give prob of sequence kj. 1/19 Two letters picked without replacement from oolfoldeeoe. Give prob of sequence od. 2/55 Calculate prob of sequence nn when two letters picked without replacement from kztggktntnnn. 1/11 What is prob of sequence bb when two letters picked without replacement from {b: 8, d: 5, l: 2}? 4/15 Calculate prob of sequence cu when two letters picked without replacement from cobouol. 1/42 Calculate prob of sequence eess when four letters picked without replacement from eesssss. 1/21 What is prob of sequence vxx when three letters picked without replacement from {v: 7, x: 4}? 14/165 What is prob of sequence mmb when three letters picked without replacement from {b: 5, m: 2, g: 2}? 5/252 What is prob of sequence llmu when four letters picked without replacement from uluummluummmuumlllum? 28/2907 Two letters picked without replacement from {r: 2, j: 2, q: 4}. Give prob of sequence qq. 3/14 Four letters picked without replacement from {i: 1, a: 4, p: 1, c: 2, r: 1}. What is prob of sequence icac? 1/378 What is prob of sequence aqaq when four letters picked without replacement from {q: 1, b: 2, a: 1}? 0 Calculate prob of sequence eb when two letters picked without replacement from {j: 4, v: 2, y: 5, b: 1, e: 4}. 1/60 Two letters picked without replacement from cssccccccccc. Give prob of sequence sc. 5/33 Four letters picked without replacement from xhxhxxxhxx. Give prob of sequence xhxx. 1/8 Four letters picked without replacement from njnnlninnnonnnbolnon. What is prob of sequence bool? 1/9690 Four letters picked without replacement from gkfzgfozoonkzzg. What is prob of sequence zkzo? 1/455 Calculate prob of sequence lu when two letters picked without replacement from jjjuuuujljjljj. 4/91 Three letters picked without replacement from {a: 10, o: 2}. Give prob of sequence aao. 3/22 Calculate prob of sequence vy when two letters picked without replacement from {w: 1, e: 2, v: 4, t: 7, y: 2}. 1/30 Three letters picked without replacement from dxwwxgy. Give prob of sequence wxx. 2/105 What is prob of sequence bb when two letters picked without replacement from bbxbbbbbxbx? 28/55 Four letters picked without replacement from {k: 8, t: 5, o: 4}. What is prob of sequence toko? 1/119 What is prob of sequence mmii when four letters picked without replacement from nigignmgymmgpmgmg? 1/1428 Four letters picked without replacement from {a: 5, s: 1, r: 1, t: 1, g: 2}. Give prob of sequence gtsa. 1/504 What is prob of sequence xs when two letters picked without replacement from {s: 1, y: 1, f: 1, d: 1, x: 1}? 1/20 Three letters picked without replacement from {b: 5, d: 3}. Give prob of sequence bdb. 5/28 Calculate prob of sequence hhll when four letters picked without replacement from hllhhlllllllllhllll. 35/1292 Calculate prob of sequence cd when two letters picked without replacement from ondcdccncd. 2/15 Four letters picked without replacement from {m: 1, v: 6, a: 8}. Give prob of sequence vvvv. 1/91 Calculate prob of sequence qvp when three letters picked without replacement from {p: 1, v: 2, q: 1, o: 2, i: 1}. 1/105 Four letters picked without replacement from {t: 1, p: 1, s: 3, v: 5, f: 3, o: 5}. What is prob of sequence tfvp? 1/4896 Two letters picked without replacement from {h: 9, o: 5}. What is prob of sequence ho? 45/182 Two letters picked without replacement from hsk. Give prob of sequence sk. 1/6 Four letters picked without replacement from wwwwwwhwhhhwwwwwww. Give prob of sequence wwwh. 91/765 What is prob of sequence leee when four letters picked without replacement from {l: 1, w: 1, g: 5, e: 4}? 1/330 Two letters picked without replacement from qghdn. What is prob of sequence hn? 1/20 What is prob of sequence ppo when three letters picked without replacement from {p: 4, a: 3, q: 1, v: 2, n: 1, o: 4}? 8/455 Three letters picked without replacement from {b: 1, h: 1, p: 2, x: 2}. Give prob of sequence pph. 1/60 What is prob of sequence qdw when three letters picked without replacement from {d: 6, w: 9, q: 3, e: 1}? 9/323 Two letters picked without replacement from {p: 4, u: 8, o: 1, y: 2}. What is prob of sequence uo? 4/105 Four letters picked without replacement from {j: 3, w: 7, m: 4}. Give prob of sequence mwww. 5/143 Calculate prob of sequence nz when two letters picked without replacement from snvczwv. 1/42 Calculate prob of sequence izsn when four letters picked without replacement from {i: 2, s: 8, z: 4, n: 1}. 8/4095 Four letters picked without replacement from uouooououooor. Give prob of sequence ruuu. 1/715 Three letters picked without replacement from gggggzggzygigzg. Give prob of sequence gzg. 9/91 Calculate prob of sequence ra when two letters picked without replacement from uara. 1/6 What is prob of sequence llz when three letters picked without replacement from {z: 7, l: 6, e: 2}? 1/13 Four letters picked without replacement from hhzhzgzghzgghsr. What is prob of sequence gzgg? 4/1365 Four letters picked without replacement from {g: 3, e: 13}. What is prob of sequence ggge? 1/560 Four letters picked without replacement from eeee. Give prob of sequence eeee. 1 Two letters picked without replacement from {w: 16, a: 2}. What is prob of sequence ww? 40/51 Calculate prob of sequence ma when two letters picked without replacement from tvmqavvaqqmvmvtqqt. 1/51 Calculate prob of sequence oddd when four letters picked without replacement from {o: 5, q: 3, d: 4}. 1/99 Calculate prob of sequence dcc when three letters picked without replacement from ccccjcdcddudjc. 1/13 Four letters picked without replacement from ccccccccc. Give prob of sequence cccc. 1 What is prob of sequence ddn when three letters picked without replacement from ndnnnnndndnn? 9/220 Three letters picked without replacement from qttttxqqqq. Give prob of sequence txq. 1/36 Four letters picked without replacement from {j: 2, u: 6, t: 4, o: 1, s: 3}. Give prob of sequence sttt. 3/1820 Four letters picked without replacement from {v: 7, u: 5}. What is prob of sequence vvuv? 35/396 Four letters picked without replacement from kokkkooooooooo. What is prob of sequence koko? 45/1001 Three letters picked without replacement from {b: 1, z: 2, r: 2}. Give prob of sequence zzb. 1/30 Four letters picked without replacement from vevcedivedeyyee. Give prob of sequence vedi. 1/910 Four letters picked without replacement from {f: 5}. What is prob of sequence ffff? 1 What is prob of sequence ary when three letters picked without replacement from {r: 1, y: 1, l: 1, n: 2, g: 1, a: 1}? 1/210 What is prob of sequence gb when two letters picked without replacement from vbzvvvgvzz? 1/90 Four letters picked without replacement from mmggtzzzmw. What is prob of sequence mmwg? 1/420 Four letters picked without replacement from ptupteuptteuuut. Give prob of sequence ppuu. 1/273 Four letters picked without replacement from {g: 1, w: 4, q: 6, x: 2, z: 7}. What is prob of sequence xzxg? 7/58140 Two letters picked without replacement from {f: 2, e: 3, v: 3}. Give prob of sequence vv. 3/28 Two letters picked without replacement from ymwwzum. Give prob of sequence wy. 1/21 What is prob of sequence fkz when three letters picked without replacement from fzwfwwkkkf? 1/80 Four letters picked without replacement from twjewwewewwwjwe. What is prob of sequence eeet? 1/1365 What is prob of sequence gggg when four letters picked without replacement from {g: 4}? 1 Four letters picked without replacement from lmmmommlmlmlm. Give prob of sequence lmlm. 28/715 What is prob of sequence zabq when four letters picked without replacement from {h: 1, t: 1, b: 1, q: 1, z: 1, a: 2}? 1/420 Two letters picked without replacement from gvka
{ "pile_set_name": "DM Mathematics" }
u**2 - 409*u + 6296. Determine g(38). -582 Let p(k) = -4*k**2 - 633*k - 562. Calculate p(-157). 223 Let r(p) = -13*p**3 + 19*p**2 + 263*p - 1412. What is r(5)? -1247 Let y(w) = -959*w**3 + 3*w**2 - 48*w - 50. Determine y(-1). 960 Let b(h) = h**3 - 23*h**2 + 29*h + 573. Give b(20). -47 Let q(m) = -m**2 + 460*m - 22626. Calculate q(56). -2 Let q(g) = 16881*g - 945318. What is q(56)? 18 Let v(f) = -218*f - 3391. Determine v(-15). -121 Let f(v) = 12*v**3 + 2864*v**2 + 4739*v - 462. What is f(-237)? -225 Let p(f) = -5*f**3 + 21*f**2 - 5214*f + 20839. Determine p(4). -1 Let p(r) = -3*r**2 - 9748*r - 9747. Determine p(-1). -2 Let l(s) = 127*s**3 - 36*s**2 + 86*s - 31. What is l(2)? 1013 Let d(p) = -339*p - 3449. Give d(-8). -737 Let j(c) = -115977*c + 579879. What is j(5)? -6 Let b(g) = 104*g + 3949. What is b(-30)? 829 Let n(x) = 145*x**2 - 68*x + 26. Calculate n(4). 2074 Let u(o) = 8*o**3 - 1697*o**2 + 331*o - 25252. Determine u(212). -24 Let a(q) = 78*q**3 - 3*q**2 - 68*q + 157. Give a(2). 633 Let q(n) = n**2 - 152*n + 2526. What is q(134)? 114 Let p(f) = -20*f**2 - 30*f + 46. What is p(-3)? -44 Let v(n) = -n**3 - 10*n**2 + 128*n + 1020. What is v(-6)? 108 Let l(d) = -9*d**3 + 6*d**2 + 117*d - 406. Calculate l(4). -418 Let o(h) = -22030*h + 264441. What is o(12)? 81 Let w(n) = -n**3 - 138*n**2 + 1964*n - 83. Give w(-151). -234 Let u(d) = -d**3 - 387*d**2 + 5199*d - 403. Give u(-400). -3 Let n(x) = x**3 + 497*x**2 + 6772*x + 140. Calculate n(-14). 0 Let g(i) = 310*i + 9707. What is g(-31)? 97 Let d(a) = -2*a**2 + 293*a - 5574. Give d(123). 207 Let f(u) = 3691*u**2 - 243607*u + 46. What is f(66)? -20 Let g(s) = 120*s**2 - 6*s + 8. Give g(1). 122 Let g(a) = 2*a**2 - 935*a + 18360. What is g(20)? 460 Let g(k) = -k**3 + 111*k**2 - 54*k + 6363. Calculate g(111). 369 Let h(a) = -2*a**2 - 91*a + 25488. Give h(93). -273 Let l(m) = -m**2 + 1659*m - 136792. Give l(87). -28 Let j(a) = -40*a**2 + 30507*a + 9884. What is j(763)? -35 Let y(x) = x**3 - 56*x**2 + 213*x + 4360. Determine y(50). 10 Let g(z) = -3*z**2 - 507*z - 3122. Calculate g(-163). -188 Let d(v) = 64*v**2 + 482*v + 245. Determine d(-7). 7 Let o(u) = u**3 + 13*u**2 - 49*u - 276. What is o(-15)? 9 Let j(m) = 329*m - 16510. What is j(51)? 269 Let u(m) = 13*m**2 - 5299*m + 507239. Calculate u(254). 1 Let m(r) = -r**3 - 76*r**2 - 572*r - 15408. Determine m(-71). -1 Let o(j) = -j**2 + 12294*j + 49179. Calculate o(-4). -13 Let z(x) = 95648*x - 287159. Determine z(3). -215 Let u(i) = i**2 - 35*i - 552. Determine u(24). -816 Let o(b) = 13*b**2 + 3*b + 1150. Calculate o(0). 1150 Let t(v) = -2*v**3 - 71*v**2 - 214*v + 119. Give t(-32). -201 Let c(d) = 1485*d + 136616. Give c(-92). -4 Let g(n) = 299*n**2 + 558*n + 567. Calculate g(-1). 308 Let w(h) = -h**3 + 9*h**2 - 25512*h + 204048. Determine w(8). 16 Let l(y) = y**3 + y**2 + 347*y + 2343. Determine l(-8). -881 Let b(j) = -j**3 - 61*j**2 - 2056*j - 188020. Determine b(-70). 0 Let z(h) = -659*h + 5891. What is z(9)? -40 Let d(r) = -12*r**2 + 929*r - 17753. What is d(43)? 6 Let h(n) = 54841*n - 164550. Calculate h(3). -27 Let c(o) = -24429*o - 11335056. Calculate c(-464). 0 Let s(j) = -2*j**2 + 42*j + 855. What is s(-9)? 315 Let u(g) = -30841*g + 1819617. Determine u(59). -2 Let l(a) = 488*a**3 + 2438*a**2 - 16*a + 3. What is l(-5)? 33 Let x(y) = 85*y**2 - 1856*y + 5861. Give x(18). -7 Let z(v) = -11*v**2 + 23*v + 337. Calculate z(-16). -2847 Let c(t) = 2*t**2 + 5069*t + 345067. Give c(-70). 37 Let s(m) = 398*m + 19104. What is s(-48)? 0 Let l(t) = -2*t**2 + 98360*t - 196716. What is l(2)? -4 Let i(y) = y**3 - 227*y**2 + 9995*y + 1225. Determine i(60). -275 Let n(u) = 7*u**2 - 12*u + 438. What is n(12)? 1302 Let f(o) = 704*o + 1423. Determine f(-3). -689 Let k(h) = -906*h**2 + 8157*h - 26. Give k(9). 1 Let v(d) = -4894*d + 63576. Calculate v(13). -46 Let s(a) = -32*a**2 - 64*a + 231. What is s(7)? -1785 Let t(x) = 750*x**2 + 6683*x - 637. Calculate t(-9). -34 Let p(t) = -1058*t + 6382. Give p(6). 34 Let c(q) = 2*q**2 + 930*q + 10877. Calculate c(-12). 5 Let b(m) = -661*m**3 - 107*m - 107. Determine b(-1). 661 Let f(r) = -51814*r + 259181. Give f(5). 111 Let m(i) = -i**3 - 137*i**2 + 99*i - 5314. What is m(-138)? 68 Let y(p) = -p**2 - 37*p + 4958. Determine y(48). 878 Let b(s) = -s**2 - 75*s - 708. Calculate b(-60). 192 Let h(d) = d**3 - 54*d**2 + 89*d + 840. Give h(52). 60 Let h(q) = q**2 - 4238*q + 413746. Determine h(100). -54 Let b(m) = 23230*m + 394914. What is b(-17)? 4 Let n(q) = -7*q**2 + 151*q + 858. What is n(-9)? -1068 Let w(d) = d**2 + 640*d + 99898. Determine w(-370). -2 Let z(q) = -129*q**2 - 56*q - 299. Calculate z(-4). -2139 Let i(q) = -13*q**3 + 422*q**2 + 231*q + 23. Calculate i(33). 23 Let b(y) = 463*y + 68960. What is b(-150)? -490 Let n(y) = 25008*y - 700227. Determine n(28). -3 Let v(x) = -x**3 + 529*x**2 - 2629*x + 4527. Give v(524). -189 Let f(m) = -2012*m - 240. Give f(0). -240 Let z(k) = k**3 - 70*k**2 - 480*k - 177. Give z(-6). -33 Let s(j) = 1224*j + 5629. Determine s(-5). -491 Let p(b) = 3*b**3 + 214*b**2 - 3785*b - 75. What is p(-86)? 11 Let t(k) = 3*k**3 - 6*k**2 - 91*k + 565. Calculate t(9). 1447 Let f(p) = p**3 + 20*p**2 - 486*p - 6484. Determine f(-11). -49 Let n(r) = -327*r**2 - 658*r - 15. Calculate n(-2). -7 Let i(w) = w**2 - 247*w + 12525. Calculate i(72). -75 Let z(t) = 56770*t - 624359. Give z(11). 111 Let x(t) = -472*t**2 + 4673*t + 568. Give x(10). 98 Let g(i) = -19*i**2 + 400*i + 1367. What is g(-3)? -4 Let k(a) = 2*a**3 + 112*a**2 - 1543*a + 691. Give k(11). -68 Let a(w) = 736*w + 108203. Give a(-147). 11 Let i(s) = 3*s**2 + 180*s + 669. Determine i(-56). -3 Let i(p) = -32*p + 320. Give i(36). -832 Let d(j) = -147*j - 720. Give d(-23). 2661 Let a(d) = d**3 - 56*d**2 + 223*d - 782. Calculate a(52). -2 Let d(l) = 2*l**2 + 7010*l + 69902. Determine d(-10). 2 Let i(v) = -2*v**3 - 9*v**2 + 4873*v + 24354. Determine i(-5). 14 Let f(l) = -153724*l - 11683005. Calculate f(-76). 19 Let m(h) = 2500*h + 212486. What is m(-85)? -14 Let k(q) = -19*q**2 + 15803*q - 90028. Give k(826). 6 Let m(b) = -220534*b + 1323175. Determine m(6). -29 Let b(s) = -s**3 + 37*s**2 + 820*s - 31017. Give b(36). -201 Let b(m) = 2*m**3 - 268*m**2 - 258*m - 1411. Determine b(135). 209 Let l(p) = 7*p**2 - 889*p - 897. What is l(128)? -1 Let w(t) = 73*t**2 + 1469*t + 145. Calculate w(-20). -35 Let t(m) = 5*m**2 - 74*m + 78. Determine t(24). 1182 Let c(w) = w**2 - 7447*w - 59662. Determine c(-8). -22 Let m(k) = -k**2 - 973*k - 25598. Calculate m(-27). -56 Let r(j) = j**3 + 31*j**2 - 121*j - 2623. What is r(-32)? 225 Let n(s) = 179052*s - 21665296. What is n(121)? -4 Let o(a) = 6*a**2 + 1023*a + 579. Determine o(-170). 69 Let s(b) = 3888397*b + 15553613. What is s(-4)? 25 Let p(f) = 21611*f - 108149. Give p(5). -94 Let q(k) = -3457*k + 97089. What is q(28)? 293 Let t(k) = -19*k**2 - 40*k + 78. What is t(2)? -78 Let u(m) = -4595*m + 2908628. Give u(633). -7 Let y(z) = z**3 - 4659*z**2 - 4983731*z + 890. Give y(-897). -7 Let x(y) = -109700*y + 658217. Calculate x(6). 17 Let c(h) = 6*h**2 - 33*h - 2716. Give c(-19). 77 Let c(t) = -t**2 + 96*t + 10020. What is c(-63)? 3 Let r(d) = 850*d**2 - 200*d - 405. Determine r(-2). 3395 Let b(w) = -8*w**2 + 4217*w - 20735. Determine b(5). 150 Let j(m) = -104*m**2 + 66*m - 106. What is j(2)? -390 Let w(f) = -1043*f - 25769. Calculate w(-26). 1349 Let w(u) = -u**2 + 182*u + 2114. Calculate w(-11). -9 Let s(z) = -363*z**3 + 12*z**2 + 200*z + 360. Calculate s(-2). 2912 Let m(x) = 6630*x - 32105. Determine m(5). 1045 Let m(k) = -504*k - 17764. Determine m(-35). -124 Let p(d) = 190855*d + 572509. Give p(-3). -56 Let q(b) = -28890*b + 230961. Give q(8). -159 Let c(u) = 41903*u - 712358. Determine c(17). -7 Let k(b) = -b**3 - 39*b**2 - 193*b - 489. What is k(-33)? -654 Let k(i) = -i**3 + 102*i**2 - 1764*i + 356. Give k(80). 36 Let c(p) = p**3 + 27*p**2 - 421*p + 269. Determine c(12). 833 Let v(u) = 2720*u + 10701. Determine v(-4). -179 Let q(l) = 60*l**2 - 3430*l + 20473. Give q(6). 2053 Let y(f) = -f**3 - 19*f**2 + 146*f + 1785. Calculate y(-20). -735 Let a(i) = 3*i**3 - 2305*i**2 - 1542*i + 3077. Calculate a(769). 1 Let y(d) = 20*d**3 - 52*d**2 + 164*d - 14. What is y(4)? 1090 Let s(i) = i**3 - 418*i**2 + 3277*i - 20. Ca
{ "pile_set_name": "DM Mathematics" }
d, 2, -2 Let g = 0.1 + -0.6. Suppose 0 = -3*m + 81 + 105. Let h = -57 + m. Sort 1/5, g, h in descending order. h, 1/5, g Let w = 1.12 - 1. Let l = -0.38 - w. Put 0.9, -4/7, l in descending order. 0.9, l, -4/7 Let c = -1.55 + 3.55. Let l = 2.6 - 3. Let x = -106 - -531/5. Sort c, x, l in ascending order. l, x, c Let z(c) = c**2 - 11*c - 9. Suppose -7*n - 48 = -11*n. Let p be z(n). Suppose p*x = -7 + 1. Sort -3, x, -4. -4, -3, x Let g be ((-8)/(-5))/((-4)/10). Let i = -11 - g. Let j be 9/(-6)*4/(-3). Sort -5, i, j in ascending order. i, -5, j Suppose 0 = -3*z - 5 - 1, 12 = 2*f - 3*z. Suppose 7*w = -11 - f. Sort -1/2, -4/3, w, -0.3 in decreasing order. -0.3, -1/2, -4/3, w Let d be 4/3 + 42/(-36). Suppose 12 = -2*j + 8. Let w be (7/35)/(j/(-10)). Put -0.2, d, w in decreasing order. w, d, -0.2 Suppose -3*s + 10 = -x, 4*x - x = -2*s + 14. Let j be s/(-12) - (-25)/(-15). Put -20, j, -5 in descending order. j, -5, -20 Suppose 0 = 9*k - 6*k + 75. Let s = k + 24. Sort -6, 5, s in descending order. 5, s, -6 Suppose 109*o - 12 = 105*o. Sort o, -1, 8 in ascending order. -1, o, 8 Let f = -26 + 26.13. Let m = f - -0.37. Let u = 0.16 + -4.16. Sort m, u, 2/5. u, 2/5, m Let h be ((-1)/(-2)*-13)/2. Let u = -1109/477 - -135/53. Put u, 3, h in decreasing order. 3, u, h Let f = 16 - 22. Let r be (6/(-5))/(f/20). Suppose 0 = -2*a + 5*q - 25, 2*q + 5 = 2*a + 3*q. Sort -1, r, a. -1, a, r Let f be (-3)/(-2)*4/21. Let t = 46.8 + -47.3. Put f, t, -8 in descending order. f, t, -8 Let q = 0.207 - 0.207. Sort 0.3, -1.2, q, 0.4 in descending order. 0.4, 0.3, q, -1.2 Let n = 67 + -49. Sort n, -0.5, 4, 2 in descending order. n, 4, 2, -0.5 Let b = 1.07 - 1.17. Let y = 8 - 7. Sort b, -6, y, -0.2 in descending order. y, b, -0.2, -6 Let h = -5.44 + 10.44. Sort h, -0.1, 6, 1 in descending order. 6, h, 1, -0.1 Let r = -0.007 + 26.007. Let n = r + -25. Put 2/3, n, 0.4, 1/5 in ascending order. 1/5, 0.4, 2/3, n Let t = -437 - -437.5. Let g = 3204/11 + -291. Put g, t, 3/7, -0.1 in descending order. t, 3/7, g, -0.1 Let i be (-100)/(-10) - (6 - 1). Put 1/12, -5, i in ascending order. -5, 1/12, i Suppose z - 8 = -3*u - 9, 2*z = -4*u - 2. Let n(j) = -j - 10. Let w be n(-8). Sort -5, u, w. -5, w, u Let u = 12 - 12.4. Let p = -32 + 3. Let k = -33 - p. Sort k, 2, u in descending order. 2, u, k Suppose -13 = f + 3*f - 3*v, -4*v + 12 = -4*f. Let t(a) = -a**2 - 3*a + 5. Let m be t(f). Let i = -4102 + 4100. Sort m, -1, i in decreasing order. m, -1, i Suppose 2*k - 2*d = -0*d + 20, 2*k + 2*d = 0. Suppose 111 = 21*v + 16*v. Sort k, 2, -4, v. -4, 2, v, k Let o be (((-312)/1060)/3)/((-432)/(-295)). Let j = 3/424 - o. Put j, -4/5, -5 in descending order. j, -4/5, -5 Suppose -q = -2*p + 19, p = -3*p. Let t = q - -19. Suppose t = 5*h + 4 - 29. Put -4, 1, h in descending order. h, 1, -4 Suppose 6 = -4*s + 3*w - 0, 3*w = 3*s + 6. Let k = 0.89 + 58.11. Let u = k - 58.5. Sort 0.2, u, s. s, 0.2, u Suppose -12*s + 373 = 313. Let t be 2/(-3) + 8/3. Put s, -11, t in decreasing order. s, t, -11 Let f = 20.2 + -21. Let c = -0.3 - f. Let d = 3.5 - 4. Put c, d, 1/3 in descending order. c, 1/3, d Let w(y) = y + 3. Let t be w(-2). Suppose 16*p = 2*p + 84. Let o be ((p/(-18))/1)/(3 + -2). Sort -2/17, o, t in decreasing order. t, -2/17, o Let d(u) = 5*u**3 - 3*u**2 - 4*u + 6. Let g be d(1). Put g, 0, -8, 40 in decreasing order. 40, g, 0, -8 Let q(f) = -7*f - 4. Let y be q(0). Sort 1, 8, y, 11 in decreasing order. 11, 8, 1, y Suppose -f + 207 = -5*d + 81, 0 = 5*d - 4*f + 129. Let n be 120/d + 1 + 4. Sort -3, n, -0.2, 5 in increasing order. -3, -0.2, n, 5 Let o be 3/((-13041)/2262) + (-4)/(-18). Let t = o - -2/161. Sort 0.2, -1, t, -0.3 in ascending order. -1, -0.3, t, 0.2 Let d = -1939 + 1937. Sort 5, d, -39 in ascending order. -39, d, 5 Let p(u) = u**3 + 8*u**2 + 2. Let g be p(-8). Sort g, 5, -43 in ascending order. -43, g, 5 Suppose -2*z + 20 = 3*b, 2*b - 5*b + 17 = -z. Let u be (-4)/(8/b) + (-5)/5. Sort u, -2, -5, 5 in decreasing order. 5, -2, u, -5 Let g = 2087 - 2088. Let d = 3 - 3.4. Sort d, 2/9, g in descending order. 2/9, d, g Let x = 9 + -7. Let s(c) = 8 + 2*c**2 - 1 - 3 - 9*c - c**x. Let a be s(9). Sort a, 2, -1 in decreasing order. a, 2, -1 Suppose 4*p - 112 - 48 = 0. Let c be 16/p - 44/10. Let f(l) = l**3 + 4*l**2 - l - 1. Let q be f(c). Put q, 0.1, 0 in decreasing order. q, 0.1, 0 Suppose 3*h - 182 = -167. Sort 1/2, h, -10 in increasing order. -10, 1/2, h Suppose -4*r + r = 15. Let u be 7/(-2) + r/10. Let x be 2*(-1)/2*33/11. Put u, 0, x in ascending order. u, x, 0 Let m(z) = z**3 + 10*z**2 - 15*z - 188. Let q be m(-9). Sort q, 1, 3, 4 in decreasing order. q, 4, 3, 1 Suppose -4*x - 10 = 4*h - 26, -x + 16 = 5*h. Suppose -16 = -h*g - 4*r - r, -5*g - r = -12. Let l = -2/253 + 1018/759. Sort 4, l, g in increasing order. l, g, 4 Let p(y) = -y + 49. Let k be p(15). Let q = k + -135/4. Sort q, -1/4, 5 in descending order. 5, q, -1/4 Let r = 109 + -111. Sort -0.5, 0.4, r in decreasing order. 0.4, -0.5, r Suppose 3*n - 101 = -80. Sort 2, -5, n, 19 in decreasing order. 19, n, 2, -5 Suppose -2*p + 3*v + 1 = -4, 5*p - 32 = v. Suppose -2*j = -k - 3*k, p = -5*k - j. Let z be 2 - (1 + -7 + 3). Sort k, z, 9 in ascending order. k, z, 9 Let a = -2.3 + -0.3. Let b = a + 3.6. Let s be (-1 + 1)*3/(-6). Sort s, b, 0.3 in decreasing order. b, 0.3, s Let x = -314.3 + 289. Let f = 25 + x. Put 2/7, 0.1, f, -4 in ascending order. -4, f, 0.1, 2/7 Suppose 5*t - 51*j = -54*j - 18, -4*j = -16. Suppose 0 = -5*y - 6 - 9. Sort t, y, 3 in descending order. 3, y, t Let p = -13/34 + -2/17. Sort 0, -1/29, p in decreasing order. 0, -1/29, p Let r = 0.15 - -0.25. Let t = r + 2.6. Sort -14, t, -1 in descending order. t, -1, -14 Let i be 10/(-25) - (-36)/15. Suppose 0 = 5*l + m + 9, 0 = 4*l + 2*m - 5 + 17. Let k be (6/(-4))/((-3)/6). Put i, k, l in descending order. k, i, l Let i = 0.14 - -0.14. Let h = i + -0.93. Let j = 0.15 + h. Sort 1/6, j, -2. -2, j, 1/6 Let v = -1.33 - -59.33. Let m = 56 - v. Let w = -0.3 + 0.4. Sort w, 1/2, m in increasing order. m, w, 1/2 Let o = -13 + 13.11. Let u = 16 - 16.01. Let c = u + o. Sort c, 0.5, -3 in increasing order. -3, c, 0.5 Let a = -25 + 27. Let u = 2 - a. Sort u, -3, 1/3 in ascending order. -3, u, 1/3 Let n be 1*(3 - (2 + -12)). Let u(b) = -b**2 + 16*b - 21. Let w be u(n). Let h = 15 - w. Sort h, -2, -5 in decreasing order. -2, h, -5 Let h = 0.375 + -5.375. Put h, -6, -3/8 in ascending order. -6, h, -3/8 Suppose -2*x - 3*x = -20. Suppose -26*y + 17*y = 117. Put -5, y, x in decreasing order. x, -5, y Let d(r) = -r - 10. Let g be d(-7). Let m(l) be the second derivative of l**4/12 + 2*l**3/3 + l**2/2 + 7*l. Let b be m(0). Sort b, 2, g in ascending order. g, b, 2 Let i(l) = -2*l**3 - 14*l**2 - 11*l - 72. Let x be i(-7). Put -0.2, 6/5, x in ascending order. -0.2, 6/5, x Let f = 3/65 + 109/455. Sort 0, -2, -4, f. -4, -2, 0, f Let k = -0.416 + -5.584. Put k, 4, -0.1, -3/2 in ascending order. k, -3/2, -0.1, 4 Let r be (-20)/(-40)*(-2)/(-2). Put 1/10, r, -1 in decreasing order. r, 1/10, -1 Let k = -185 + 199. Let u = 400 - 413.98. Let h = u + k. Put 0, -1, h in increasing order. -1, 0, h Let q = -24 - -27. Let b(n) = -2*n - 10. Let u be b(-5). Suppose 2*k - 3*v + 4 = u, -2*v = -3*k - v + 8. Sort k, 1, q in descending order. k, q, 1 Suppose 4*t + 31*t = -140. Put -10, 0, t, -5 in decreasing order. 0, t, -5, -10 Let o be (-2)/(-8) - (-12)/80. Let w = -8.9 - 1.1. Let q = w + 7. Sort q, o, 1 in increasing order. q, o, 1 Let l = -0.32 - -0.12. Let m = 0.1 + l. Sort m, 2/17, 1. m, 2/17, 1 Let l = -44.7 + 8.7. Let y = 37 + l. Sort y, 0.1, -4/3. -4/3, 0.1, y Suppose 2*c - 2*p = 4*c + 44, 0 = 3*p + 3. Let k be (-60)/35 + 6/c. Let i be k*(-2)/(12/9). Put 0.3, -1, i in increasing order. -1, 0.3, i Let b = 5/293 - -283/586. Put -5, b, -74, -0.1 in decreasing order. b, -0.1, -5, -74 Suppose 0 = -4*j - 4*x + 8, 6 = -6*x + 9*x. Suppose 2*f - 7*f - 25 = 0. Put 1, j, -2, f in increasing order. f, -2, j, 1 Let o = 4.2 - 0.2. Let n(d) = d**2 - 52*d + 54. Let b be n(51). Sort -3, o, -4, b in decreasing order. o, b, -3, -4 Let n = 251 + -251. Sort n, -3/4, -8/5 in decreasing order. n, -3/4, -8/5 Let f be (2 - 1)/((-252)/50 - -5). Let v(c) = -2*c - 50. Let b be v(f). Put 12, -5, b in descending order. 12, b, -5 Let y = 7.3 - 4.3. S
{ "pile_set_name": "DM Mathematics" }
the smallest value in -1, g, -0.4? g Let x = 56 - 60. What is the fourth biggest value in -5, 0, x, 1/3? -5 Let q = -0.29 - -0.39. What is the biggest value in q, 2, -2? 2 Let m be 77/396 - 1/(-4). Which is the third smallest value? (a) m (b) 0.5 (c) -0.2 b Let r = 1 + 1. Let n(u) = -u**2 + 6*u + 3. Let k be n(6). Suppose 0 = -z + k. Which is the second smallest value? (a) 0 (b) r (c) z b Let f be ((-8)/70)/((-4)/10). Let o = 135 - 134.6. Let l = 0.03 - -1.97. What is the smallest value in l, f, o? f Let u = -10 - -11. Let m = 1 + u. What is the third biggest value in 3/2, m, 4? 3/2 Let g be ((-20)/8)/(-2*(-2)/8). Let o(k) = -k**3 - 3*k**2 - k. Let m be o(-2). Let n be m/24 + 1/4. Which is the third biggest value? (a) n (b) -0.2 (c) g c Let y = -0.3026 + 0.0026. Let f = -0.1 - -1.1. Suppose 3*d = p + 11, -5*p = 5*d - 2 - 3. What is the third smallest value in f, p, y? f Let v = 2 - 2.1. Let d = 0 - v. What is the third biggest value in d, 3, -0.4? -0.4 Let s = 41 + -40. Which is the second biggest value? (a) 0.4 (b) s (c) 3 b Let z(m) = -28*m**3 + 2*m**2 + 2. Let r be z(2). Let v = 2356/11 + r. Let c = -0.0169 - -0.0169. What is the second smallest value in c, -4/7, v? c Let n = 16 + -12. Which is the second biggest value? (a) n (b) 5 (c) -1 a Let o = -8 - -5. Let s = o - -2. Let v = s + -2. Which is the smallest value? (a) -0.1 (b) v (c) 3/4 b Let n = -10.3 - 0.7. Let t = 2 + -9. Let m = t - n. Which is the third biggest value? (a) 6 (b) m (c) 5 b Let s(k) = -k - 6. Let h be s(-6). Let o = 2.23 - 12.23. Which is the second biggest value? (a) 0.1 (b) o (c) h c Let j = 0.71 + -0.81. What is the biggest value in -1/4, j, -1/9? j Let j be 2 - (-14)/16*-2. Let g = 97 + -98. What is the smallest value in g, j, -0.3? g Let i(g) = 3*g**3 + 16*g**2 + 7*g + 13. Let n be i(-5). Let c = 1 + -4. What is the second biggest value in n, -0.3, c? -0.3 Let h = 0.9 - -0.1. Let c = -8 - -5. Let p = 0 - c. What is the second smallest value in 5, p, h? p Let d = 2806/3 + -1853/2. Let i = 34/3 - d. What is the second biggest value in -5, -3/4, i? -3/4 Let i(x) = x - 4. Let c be i(3). Suppose -3 = -m, -4*v + 9 = v + 3*m. What is the third biggest value in v, 0.2, c? c Let h be 3/(-5)*(-20)/(-30). Which is the smallest value? (a) 1/3 (b) -3 (c) h b Let j(s) be the first derivative of s**4/4 + 4*s**3 + 6*s**2 + 11*s + 3. Let n be j(-11). Which is the smallest value? (a) -2 (b) n (c) 2/11 a Let f(g) = -g**3 - 14*g**2 - g - 10. Let s be f(-14). Which is the second biggest value? (a) -5 (b) s (c) 1 c Let n be (-2)/8*190/45. Let i = -4/9 + n. Which is the smallest value? (a) -1 (b) i (c) 0.3 b Let r = 0.07 + -2.07. Which is the second smallest value? (a) 0.07 (b) -5 (c) r c Let c be (-3)/27 + 2/6. What is the smallest value in 0, c, -1? -1 Let z be 4/5*(2 + -7). Let m = 4 + z. Let r = 4.93 + 0.07. What is the third smallest value in -1/6, r, m? r Let k = 8.7 + -21.6. Let n = k - -13. What is the second biggest value in n, 0.3, 5? 0.3 Let o be 4*1/(-15)*15/(-6). Let p be -3*(0 + 4/30). What is the biggest value in o, -1/6, p? o Let u(x) = -x**2 - 14*x - 15. Let q be u(-11). Let f be -4*(-2 + 35/q). What is the second biggest value in f, 0.2, 2/3? f Let q = 0.2 - 0.3. Let v = 14 + -9. Suppose -v + 21 = -4*a, 10 = 3*g - 4*a. What is the biggest value in q, -1/4, g? q Let i = 1.8 + -2. Let h be 38/(-6) + 2 - (2 + -6). Which is the third biggest value? (a) i (b) h (c) -0.5 c Let l = -6 + -3. Let t(f) = f + 11. Let h be t(l). Which is the smallest value? (a) 4 (b) h (c) -1/4 c Suppose -12 = -4*o + o - 3*y, -8 = -2*y. What is the fourth biggest value in o, -1/8, 2, -2? -2 Let i = -6.7 - -3.7. Which is the biggest value? (a) 0.1 (b) -2/7 (c) i a Let b(n) = -n**3 - 8*n**2 + 10*n + 5. Let v be b(-9). Let i be (-1)/v + 38/8. Let s be (-2 + (-58)/(-28))*4. What is the biggest value in -1, s, i? i Let g be 3/(-21) + 198/14. Let q be ((-6)/4)/(g/(-4)). Which is the smallest value? (a) -1 (b) -2/17 (c) q a Let t be ((2 - 9) + 3)/(-7). Which is the third biggest value? (a) -1 (b) 1/6 (c) t (d) 1 b Let p = -16 + 6. Let i = 14.4 + -0.4. Let m = p + i. Which is the smallest value? (a) -1/3 (b) -0.1 (c) m a Let n = -10 + 10.1. Let w = -12.7 - -13. What is the third biggest value in -4/3, w, n? -4/3 Let p be 2/(-48)*(-6 - 3). Suppose 3*r - 2 = -5. What is the smallest value in p, -1/2, r? r Let s be ((-1)/(-2))/(6/(-4)). Let y = -1.95 - -2. Let h = y + -4.05. What is the smallest value in 0.2, h, s? h Suppose 25 = -5*x + 4*v + v, -v - 3 = x. Let a = -102 + 1123/11. What is the smallest value in a, 2/7, x? x Suppose 3*t - 12 = -0. Which is the third biggest value? (a) t (b) -6 (c) 0.1 b Let l = -40 + 31.9. Let y = l - -8. Let b = -1 - -1. What is the biggest value in -3, b, y? b Let o be 2*((-78)/27 - -3). What is the second biggest value in 2, 3, o? 2 Let r = 5 + 0. Let o = 93 - 653/7. What is the third smallest value in -3/7, r, o? r Let j = 0.4 - -0.1. Let o = -1.02 + 1. Let x = o - 2.98. Which is the second smallest value? (a) x (b) j (c) -3/4 c Let t = -50 + 252/5. Let o(y) = -y**2 + 7*y - 3. Let i be o(6). Which is the second biggest value? (a) t (b) i (c) -1 a Let h = 10674 + -63809/6. Let n = 39 - h. Which is the third smallest value? (a) -0.2 (b) n (c) -3 b Let z = -1/58 + -13/87. What is the smallest value in -3, -2, z? -3 Let p be ((-15)/(-18))/(8/48). What is the third biggest value in -5, -6, p, -1? -5 Let h(y) = 4*y + 35. Let q be h(-10). Which is the fourth biggest value? (a) -0.4 (b) -1 (c) 0.5 (d) q d Let l be (-3 + (-87)/(-30))*125/(-10). Let c = 0 + -0.2. What is the smallest value in l, 2/9, c? c Let i be 2/8*(8 - 0)*1. Which is the biggest value? (a) i (b) -5 (c) -4 a Let h be 1/((9/(-6))/(-3)). Suppose 4*m - h*m - 10 = 0. Suppose m*s = 3*s - 4. Which is the second biggest value? (a) s (b) -1/3 (c) 0 b Let o = 1 - 0. Let i be ((-3)/18)/((-3)/(-9)). What is the second biggest value in i, o, 0.5? 0.5 Suppose 1 = -2*h - 3. Let z = 1.04 + -0.64. What is the third biggest value in h, z, -4/3? h Suppose -3*f - 13 = -6*f + u, -5*f + 2*u = -23. What is the biggest value in -0.4, f, -5/3? f Suppose 5*t = -3*m + 22, 3*m + 3*t = -1 + 25. Which is the fourth smallest value? (a) -5 (b) m (c) -2/9 (d) 5 b Let d be (1/(-3))/((-8)/16). Let v be (-15)/(-42)*(-8)/(-10). What is the second biggest value in -0.5, v, d? v Let o = 9.8 + 3.2. Let z = 0 + -9. Let k = z + o. What is the third smallest value in k, 5, 0? 5 Let h = -0.032 + -0.068. What is the biggest value in -0.4, 1, -13, h? 1 Let j = -1 + 1.1. Let x = -0.3 + j. Let y be (-2)/(-12) + (-3)/(-18). What is the smallest value in -0.3, y, x? -0.3 Let p be (2/(-5))/((-2)/10). Suppose 3*k + 16 = -p*t - 2*t, 4*k = -16. Let o = -0.083 - -0.583. Which is the second biggest value? (a) 4 (b) o (c) t b Let n = -90.2 + 104. Let l = n - 14. Which is the third smallest value? (a) -1 (b) 0.3 (c) l b Let a = 32 + -34. What is the third smallest value in -2/17, a, -3/4, -4? -3/4 Let o = 5 + 0. Suppose -3*p - 2*p + 43 = -4*f, 3*f - o*p = -31. Let v = f - -7. Which is the smallest value? (a) -1 (b) v (c) -2/5 b Let g(q) = -q**2 + 4*q + 14. Let l be g(6). Which is the third smallest value? (a) -5 (b) -0.5 (c) l c Let v = 2.1 + -2.18. Which is the biggest value? (a) v (b) 0.5 (c) -1 b Let o(q) = 0*q + 0*q - 2 - 3*q. Let z be o(-2). Let l = 4 - 1. Which is the third smallest value? (a) l (b) z (c) 5 c Let y(u) = -u - 5. Let g be y(-5). Let v = 2 + 0. Which is the second biggest value? (a) v (b) g (c) 1/8 c Let r be ((-2)/10)/(6/(-20)). Let s = -2.11 - -0.11. Let i be (-22)/28 - (-2)/7. Which is the second biggest value? (a) r (b) i (c) s b Let f = -8.01 - -8. Let x = -0.09 - 0.1. Let g = x + f. What is the third smallest value in -5, g, 4? 4 Let y = 4.88 + 0.12. Let k = 3.6 - 4. Let g = 3.4 + k. Which is the third smallest value? (a) g (b) -0.2 (c) y c Let a = -4851/44255 - 3/835. Let m = a - 194/159. Suppose 4*p = 3*l - 19, p - 29 = -5*l - 5. What is the third biggest value in 0.1, m, l? m Let b = -6.49 + 6.29. Let c be -2 + ((-18)/(-4))/3. What is the biggest value in -2/7, c, b? b Let x = 71 - 76.8. Let y = -6 - x. Which is the second sma
{ "pile_set_name": "DM Mathematics" }
4*n - 9. Let r(a) = 7*a**3 - 1. Let q(c) = g(c) - 2*r(c). Let k(m) = -14*m**3 + m + 2. What is 7*k(w) + 2*q(w)? -14*w**3 - w Let b(n) = -54*n**2 - 7*n - 71. Let o(d) = 22*d**2 + 3*d + 35. Give 2*b(s) + 5*o(s). 2*s**2 + s + 33 Let u(b) = b**3 + b**2 + b. Suppose -51*c = -36 + 24 + 165. Let a(i) = 2*i**3 + 7*i**2 + 3*i + 3. Give c*u(n) + a(n). -n**3 + 4*n**2 + 3 Let h(n) be the third derivative of n**6/30 - n**3/3 - 29*n**2. Let w(t) = 20*t**3 - t**2 - 11. Suppose 4*j + 8 = -0. Give j*w(x) + 11*h(x). 4*x**3 + 2*x**2 Let k(h) = -h**2 - h - 1. Let i(b) = -9 - 5644*b**2 - 5*b + 22 + 5640*b**2. Determine i(u) - 6*k(u). 2*u**2 + u + 19 Let g(n) = -95*n + 35. Suppose -280 = -35*f + 43*f. Let w(x) = 8*x - 3. Give f*w(s) - 3*g(s). 5*s Let q(u) = 3*u**3 - 2*u - 2. Let f = 1285 + -1286. Let s(h) = h**3 + h + 1. Give f*q(a) - 2*s(a). -5*a**3 Let s = -8 - -6. Let b be ((-33)/22)/((3/s)/(-3)). Let m(q) = -6*q - 2. Let x(l) = 5*l + 1. Give b*m(y) - 4*x(y). -2*y + 2 Let b(o) = o + 1. Let l(i) be the second derivative of 1/2*i**2 + 1/6*i**3 - 2*i - 3. Let g = -6 + 13. What is g*l(z) - 6*b(z)? z + 1 Let c(v) = 5*v + 3. Suppose -49*r + 1050 = -574*r. Let g(d) = -4*d - 3. Determine r*g(i) - 3*c(i). -7*i - 3 Let a(s) = 12*s**3 - 9*s. Let h(k) = 11*k**3 - 13*k. Give -3*a(q) + 2*h(q). -14*q**3 + q Let h be ((-24)/(-14))/((-18)/12) + 172/1204. Let v(s) = -s + 1. Let f be 5/(-1)*8/10. Let x(l) = 3*l - 3. Calculate f*v(g) + h*x(g). g - 1 Let r(k) = -20*k**3 - 25*k**2 + 14*k - 32. Let f(b) = 13*b**3 + 16*b**2 - 10*b + 20. Calculate -8*f(x) - 5*r(x). -4*x**3 - 3*x**2 + 10*x Let u(g) = -g**2 + 4. Let j = 8 + -4. Let n(z) = z**2 - 3. Let t be -34 - 5654/(-154) - 2/14*-2. Calculate j*n(p) + t*u(p). p**2 Let y(r) = 37*r**3 - 4*r**2 + 4*r + 12. Let j(q) = 2665*q**3 - 287*q**2 + 287*q + 861. Calculate -4*j(z) + 287*y(z). -41*z**3 Let t = 384 + -368. Let i(h) = -t + 10*h**3 - 5*h**2 + 21*h - 23*h - 9*h. Let u(y) = -2*y**3 + y**2 + 2*y + 3. Let s = 0 + 2. Calculate s*i(l) + 11*u(l). -2*l**3 + l**2 + 1 Let p be ((-132)/55)/(52/(-20) + 3). Let q(m) = -6*m - 6. Let s = -11 + 6. Let f(a) = 6*a + 5. What is p*f(o) + s*q(o)? -6*o Let z(h) = 18*h**2 + 1. Let g(n) = 7*n**2 - 2*n - 1. Calculate -g(q) - 5*z(q). -97*q**2 + 2*q - 4 Let y(m) = 5*m**3 + 5*m**2. Let w(q) = -524073*q**2 - 2*q**3 - q**3 + 524071*q**2. Determine -5*w(o) - 2*y(o). 5*o**3 Let s(l) = 2*l**2 - 603 + l + 1919 - 596 - l**2 - 720. Let v(h) = h**2 + 4*h. Let i be 18/(-4) + (-1)/(-2). Determine i*s(u) + v(u). -3*u**2 Let m(s) = s**2 - s - 1. Let z be 3/(-15) + ((-504)/(-40))/3. Let j(r) = 92*r**2 - 100*r**2 + 4*r - 7 + 11. Determine z*m(x) + j(x). -4*x**2 Let d(v) = -4013*v**2 + 5*v + 28. Let a(n) = -2006*n**2 + 2*n + 12. Give -14*a(s) + 6*d(s). 4006*s**2 + 2*s Let p(o) = o**2 + 7*o + 2. Let n(d) = d**2 + 6*d + 2. Let x be 42/231 - 5592/22. Let s = x - -247. Give s*n(t) + 6*p(t). -t**2 - 2 Let w(h) = -2*h**2 + 12*h + 1515. Let l(o) = o**2 - 7*o - 759. Give -7*l(d) - 4*w(d). d**2 + d - 747 Let w(x) = 12*x**2 + 7933*x - 182. Let c(r) = -r**2 + 14. Give 13*c(l) + w(l). -l**2 + 7933*l Let z(r) = 4*r**3 + 11*r**2 - 84*r. Let p(y) = -y**3 - 3*y**2 + 21*y. Let m(v) = -2*v**3 + 14*v**2 - 17*v - 12. Let l be m(2). What is l*z(s) - 22*p(s)? -2*s**3 + 42*s Let f(o) = -1209*o**2 - 8*o**3 + 3613*o**2 - 1204*o**2 - 1207*o**2. Let g(h) = -h**3 - h**2. What is f(x) - 5*g(x)? -3*x**3 - 2*x**2 Let f(a) = 1263*a + 9. Let z(h) = 10*h + 1. What is -f(s) + 10*z(s)? -1163*s + 1 Let g(r) = -2*r**2 + r. Let o = 191 + -188. Let i(q) = 26*q + 3*q**2 + 33*q - 61*q. Calculate o*i(f) + 5*g(f). -f**2 - f Let l(o) = 4*o + 1. Let p(v) = -3*v**2 - 26*v + 4. Let w(h) = -5*l(h) - p(h). Let f(z) = -3*z**2 - 5*z + 9. What is -5*f(x) - 4*w(x)? 3*x**2 + x - 9 Let i(f) = -3154*f - 3. Let r(a) = -6318*a - 5. Give 5*i(q) - 3*r(q). 3184*q Let w(h) = -3*h + 9. Let b(o) = -30*o + 83. Calculate -b(a) + 4*w(a). 18*a - 47 Let f(j) = 3*j + 2329. Let r(t) = -t - 8. Give -f(b) + 2*r(b). -5*b - 2345 Let o = 58 + -53. Let f(r) = -1. Let c(q) = -19 + 4 + 9 + 0*q**2 - 3*q - 2*q**2. Give o*f(y) - c(y). 2*y**2 + 3*y + 1 Let l(m) = -26*m**2. Let v(q) = -5*q**2. Suppose -7*c + 4 = 25. Let u = -46 - -31. Let b = 31 + u. Calculate b*v(a) + c*l(a). -2*a**2 Let c(i) = 18 + i**2 + 8 - 2 - 24 - 6*i. Let d(h) = -h**2 + 5*h. Determine 5*c(v) + 6*d(v). -v**2 Let i(s) = -13*s**3 - 357*s + 13. Let f(z) = 4*z**3 + 119*z - 3. What is 7*f(q) + 2*i(q)? 2*q**3 + 119*q + 5 Suppose -88*w - 310 = -20*w + 30. Let k(a) = -a**2 + a - 1. Let n(p) = 9*p**2 - 9*p + 5. Give w*k(m) - n(m). -4*m**2 + 4*m Let d(a) = 6*a + 555. Let f(z) = 8*z + 558. Determine -3*d(h) + 2*f(h). -2*h - 549 Suppose 0 = 9*h - 123 + 24. Suppose 0 = 3*k - 1 - h. Let r(c) = 6*c**3 + 10*c**3 - 8*c**3 + k*c. Let z(v) = -7*v**3 - 3*v. Give -3*r(y) - 4*z(y). 4*y**3 Let w(r) = r**3 - 8*r**2 + 8*r + 18. Let k be w(9). Let x = k + -176. Let t(n) = 2*n**2 + 3*n - 3*n**2 + 0*n. Let f(z) = -2*z**2 + 5*z. What is x*t(y) + 3*f(y)? -y**2 Let r(o) = 2*o + 2. Let q(s) = s + 12. Let n be q(-7). Suppose 2255 + 124 = -13*j. Let f = -186 - j. Let p(u) = u + 1. Calculate f*r(y) + n*p(y). -y - 1 Suppose 2*r - 40 = f - 2*r, 4*f - 5*r + 182 = 0. Let z = -8 - f. Let o = 42 - z. Let i(t) = -2*t**3 + 1. Let p(b) = b**3 - 1. Give o*i(y) + 3*p(y). -y**3 - 1 Let s(a) be the third derivative of -a**4/2 + 2*a**3/3 + 2376*a**2. Let j(v) = 11*v - 3. Calculate -6*j(y) - 5*s(y). -6*y - 2 Let b(m) = 10*m - 1. Let w be 142/(-2201) + (-368)/62. Let c(i) = 10*i - 1. Determine w*b(x) + 5*c(x). -10*x + 1 Let o(p) = -6*p + 5. Let g be 3/15 - 18/(-10). Let b = -3752 + 3762. Suppose b*n - g*n = -48. Let q(m) = 7*m - 6. Determine n*o(t) - 5*q(t). t Let x(w) = -1. Let z(y) = 28*y**3 - 4*y**2 - 3*y - 4. Let a(d) = -29*d**3 + 6*d**2 + 4*d + 6. Let s(t) = -3*a(t) - 4*z(t). Determine s(v) - 2*x(v). -25*v**3 - 2*v**2 Let t(q) = 17*q**2 - 4*q + 202. Let a(y) = -16*y**2 + 3*y - 193. Calculate 4*a(w) + 3*t(w). -13*w**2 - 166 Let g(j) = 6*j + 26. Let m(r) be the third derivative of -r**4/12 - 3*r**3/2 + 57*r**2. Let v(f) = f**3 + f**2 - 4*f. Let i be v(-3). Give i*g(a) - 17*m(a). -2*a - 3 Let r(y) = -134*y + 4961. Let c be r(37). Let k(h) = 6*h. Let v(w) = w - 1. Determine c*k(z) - 3*v(z). 15*z + 3 Let j(i) = i**3 - i**2 - 1. Let g(v) = v + 17. Let d be g(-16). Let o(t) = 0*t + 0*t + 157 - 158 - 5*t**2 + 9*t**3. Calculate d*o(w) - 3*j(w). 6*w**3 - 2*w**2 + 2 Let b(h) = -6*h**2 + h - 3. Let f(c) = 22*c**2 + 32*c + 16. Give -4*b(i) - f(i). 2*i**2 - 36*i - 4 Let t be (-4)/9 + -8*44/(-144). Let z(n) = 4*n**3 + 2*n**2 + 3*n + 3. Let c(x) = -1 - 12*x**3 - 10*x**3 - 2*x + x - x**2 + 21*x**3. Determine t*c(r) + z(r). 2*r**3 + r + 1 Let a(h) = -7*h - 1872. Let r(n) = -6*n - 1882. Give -5*a(m) + 6*r(m). -m - 1932 Let q(u) = -1. Let f = -1019 + 1023. Let x(i) = -58*i + 38*i + 2*i**2 - f + 27*i. Give 4*q(z) - x(z). -2*z**2 - 7*z Let h(x) = -x - 1. Let w be (-2)/((-5 - -1) + (-6 - -4) + 8). Let t(y) = -2*y + 4. Let b be 3/(-5) - 32/(-20). Give b*t(s) + w*h(s). -s + 5 Suppose -2*v = -0*v - 52. Let h = v - 22. Let d(x) = 4 - 2*x**2 - 58*x**3 + h*x + 3*x + 53*x**3. Let g(r) = r**3 + r**2 - r - 1. What is d(i) + 4*g(i)? -i**3 + 2*i**2 + 3*i Let i(k) = k**2 + 8. Let z be (18 - 22) + 95 + -1*2. Suppose 18*q + z = -19. Let m(l) = -l**2 - 9. What is q*m(w) - 7*i(w)? -w**2 - 2 Let m(n) be the second derivative of -n**4/4 + n**3/3 - n**2 + 2*n. Let h = 4 + 15. Suppose 2 + h = b. Let i(x) = -10*x**2 + 7*x - 7. Give b*m(t) - 6*i(t). -3*t**2 Let k(x) = 989*x**2 - 26*x + 8. Let v(j) = -2967*j**2 + 91*j - 28. Calculate 14*k(i) + 4*v(i). 1978*i**2 Let b(c) = 20*c + 81. Let w(x) = -102*x - 407. Give 22*b(h) + 4*w(h). 32*h + 154 Let q(p) = -3*p + 0 + 3 + 2*p. Suppose 0 = 39*o - 11*o - 140. Let k(a) = 11*a - 4*a - 4 - 6*a. Calculate o*k(j) + 6*q(j). -j - 2 Let t(p) = -p**2 - 15*p + 1. Let y(a) = a**2 + 13*a - 1. Let w(r) = -7*t(r) - 8*y(r). Let b(s) = 9*s**2 - 6*s - 8. Determine b(z) + 6*w(z). 3*z**2 - 2 Let r(g) = -6*g**3 + 21*g**2 - 164*g + 6. Let n(b) = -17*b**3 + 55*b**2 - 492*b + 16. Determine -3*n(j) + 8*r(j). 3*j**3 + 3*j**2 + 164*j Let m be 7/(-532)*8 + 621/(-57). Let l(k) = -2 - 2*k**2 + 4*k**2 + 2*k + 0. Let g(a) = 10*a**2 + 11*a - 11. Suppose -5 = -2*c - 1. What is c*g(i) + m*l(i)? -2*i**2 Let v(f) = -2
{ "pile_set_name": "DM Mathematics" }
d + s*x = 6*d - 2322, -5*d + 5814 = -3*x. Suppose 0 = t - d - 937. Is t composite? True Let n(o) = -5*o**2 - 7*o + 26. Let r be n(4). Is (r/123)/(2/(-19299)) a prime number? False Suppose -9*b = -0*b - 36. Suppose -5322 = -4*h + 2*h. Suppose b*w + o - 4536 = 0, -3*w = 3*o - 750 - h. Is w a prime number? False Suppose 16*w = 19*w - 3. Suppose -2*o - 3 = 4*l - w, -20 = 4*o. Suppose s = -l*s - h + 47, -4*h = -4*s + 36. Is s prime? False Let i = 2425 - 1708. Let t = -26 + 4. Let p = i - t. Is p a prime number? True Let h = 25 + 14. Suppose 3*i - 39 = -h. Suppose 0 = -5*p + c + 900, i*p = 4*p - 2*c - 726. Is p a prime number? True Suppose -6368502 - 9780741 = -69*k. Is k prime? False Let m(h) = -4*h - 2. Let p be m(4). Is (-3)/(p/6) - -448 prime? True Let v(y) = -61*y**3 + y**2 - 2*y - 5. Suppose 7 - 19 = 6*m. Let z be (3 - (-1 - 8/m)) + -3. Is v(z) a prime number? True Suppose -82*h + 84*h = 4. Suppose h*v + v = -j + 1891, 4*j = 4*v + 7644. Is j a composite number? True Let j be 2*(4/10 + (-24)/(-40)). Suppose 3*d = -j*d + 725. Let s = d - -234. Is s a prime number? True Suppose -12*u = -55 - 65. Suppose 12 + 8 = u*t. Is 3/t*3554/3 a prime number? True Let z(s) = 27016*s**2 - 327*s - 1698. Is z(-5) a composite number? True Is (6 + -4 - 2 - -34655) + 8 prime? False Let c(w) = 1137*w**2 + 7*w - 21. Let i be c(4). Let p = i - 12828. Is p composite? True Let n = 173 + -171. Suppose 2*s + 2*u - 5674 = 0, 3119 = n*s + u - 2551. Is s a prime number? True Let r(u) = -u**2 + 5*u + 47. Let s be r(10). Is ((-79)/(-4))/(s - 785/(-260)) a prime number? False Suppose 62*b + 1393827 - 7826320 = -69*b. Is b a prime number? True Let g = 10941 + -5702. Suppose 13232 + g = 3*w. Is w a prime number? False Let w(m) = 7*m**2 + 134*m + 122. Let h be w(-29). Let b(i) = 53*i - 4. Let v be b(6). Let r = v + h. Is r composite? False Let w be (-1)/((10/1)/30). Let o(j) be the first derivative of -41*j**4/4 + 2*j**3 + j**2/2 - j + 1. Is o(w) a prime number? False Suppose 0*v + 5*v + 5*g - 190 = 0, 0 = 2*g + 10. Let x = 47 - v. Suppose -5*r + 721 = -x*r. Is r prime? False Let h be (-216)/15*(-10681 + 6). Suppose h = 12*i - 76524. Is i prime? False Let p = 114288 - 61561. Is p prime? True Let q = 2297 + 1010. Suppose -c + q + 702 = 0. Is c prime? False Suppose f + 4*i - 8397 - 60424 = 0, i - 344067 = -5*f. Let z = f - 17484. Is z composite? False Suppose 719439701 = 341*d + 201083214. Is d prime? True Let y(i) = -33092*i - 191. Is y(-2) a composite number? False Let g = 659 - 665. Let v(j) = -85*j + 163. Is v(g) a prime number? True Let a(q) be the second derivative of -q**5/20 + q**3/3 + 1769*q**2/2 + 6*q + 13. Is a(0) composite? True Suppose 4*x - 6*x = -r + 282859, 3*r - x - 848602 = 0. Is r prime? True Suppose -24*q + 69 = -3. Suppose b - 13732 = -q*b. Is b a composite number? False Suppose 0 = -0*x + x + 2792. Let j be (-52)/16 - -3 - (-111054)/24. Let p = x + j. Is p composite? True Suppose 566616 + 2583330 = 60*s + 410046. Is s a composite number? True Suppose 6 = -5*y + 31. Suppose -y*t + 5*p + 3730 = -0*p, -5*p = 15. Is t a prime number? True Let n = 590 + -843. Let x = n + 6416. Is x a prime number? True Suppose 3*b = 8149 - 313. Suppose 5*u = b + 4943. Is u composite? False Let l(h) = 31*h**2 + 9*h - 56. Let a be l(11). Suppose 0*f - 3*f + x + 11380 = 0, -f = -x - a. Is f a composite number? False Is 10 + 9 + -14 - (-54878 + -4) a prime number? False Let k(f) = 1690*f**2 + 8*f + 185. Is k(-12) a prime number? False Let s(o) be the third derivative of o**5/15 - 13*o**4/8 + o**3/2 - 9*o**2. Let q(d) be the first derivative of s(d). Is q(16) a prime number? True Suppose 3*u = 7*u - 42176. Let s(p) = 139*p**3 - 2*p**2 + 2*p - 2. Let n be s(3). Suppose -5*c + u - n = 0. Is c composite? False Suppose -15*z - 112 = -19*z. Let l = z - 25. Suppose 4*q + 2*k - 1519 = -k, -1158 = -l*q + 4*k. Is q composite? True Let b(i) = -27*i + 2068. Is b(49) a prime number? False Let j = 447937 - 247580. Is j composite? False Let x(v) = -v**3 - 11*v**2 - 10*v + 12. Let r be x(-10). Suppose -4*t + 8*t = 180. Is 3*6033/t - r/(-15) a prime number? False Let z(b) = -8874*b - 20. Let n be z(-4). Suppose 0 = -17*r + n - 3159. Is r composite? False Suppose -16241230 - 35522724 = -192*f + 4517582. Is f composite? True Suppose 0 = 2*s + 4*v + 1106, 2*s = -s + 5*v - 1703. Is (-1808169)/s - (-2)/(-17) a prime number? False Suppose -2*i = -4*g + 212 - 36, 0 = 2*g - 4*i - 100. Suppose -4*y = 3*a - 52913, -13233 = 41*y - g*y + 4*a. Is y a prime number? True Let p be 3*(1395 + -3)/(-4). Let n = 2037 + p. Is n prime? False Let t(a) = -a**3 + 14*a**2 + 19*a - 17. Suppose 15*m - 16*m = 0. Suppose m = -i - 5, 0*s + 2*i = 4*s - 58. Is t(s) a composite number? False Let o(d) = 89*d - 95. Let p(s) = -1. Let m(a) = o(a) - 4*p(a). Is m(6) a prime number? True Suppose 0 = 363*i - 356*i - 7409521. Is i composite? False Let w = 193993 + 343846. Is w a prime number? False Let c = 78 - 102. Let a = c - -24. Is 811 + -1 + (a - 1) a prime number? True Suppose 2*m - 7*m + 45 = 0. Suppose 5*r - 5354 = 2786. Suppose m*g = 5*g + r. Is g a prime number? False Is (9 - (-4945096)/17) + 6 prime? False Suppose -4 = -b - 1. Suppose 2*z = b*z - 6*z. Suppose -2*d + 392 + 386 = z. Is d composite? False Let t(u) be the first derivative of -u**4/4 + 9*u**3 + 3*u**2 - 5*u - 459. Suppose -2*f + 6*f = -4*j + 24, -3*f = 6. Is t(j) prime? True Is 519768/20 - (-4)/6*(-216)/(-240) a composite number? True Suppose -2*i + 3*c + 7028 = 0, -c = -4*i - 3*c + 14056. Suppose 2*m = 16*m - i. Is m a composite number? False Suppose -m - 1 = 0, 2282 = -2*z - 2*m - 0*m. Let r = -661 - z. Is r composite? False Let y(i) = 201*i - 1. Suppose -13 = 9*v + 4*v. Let a be y(v). Let k = a - -393. Is k a prime number? True Let j(d) be the second derivative of d**3/6 + 27*d**2/2 - 7*d. Let q be j(-18). Suppose q*p - 5*p - 1028 = 0. Is p a prime number? True Suppose 14*q + 65328 = 8*q. Let p = 27389 + q. Let l = p - 11064. Is l prime? True Suppose 14 = 4*b + 2. Suppose 4*q - 4964 = 2*h + 3*h, b*q + h - 3704 = 0. Suppose 598 = 14*v - q. Is v a prime number? True Let u(p) be the second derivative of -p**5/2 + 5*p**4/3 + 8*p**3 - 15*p**2/2 + 98*p. Is u(-11) a prime number? True Is ((-112)/1008)/((-2)/1212102) a prime number? True Suppose 3 = -17*w + 18*w. Suppose -65370 = -5*y - w*n - 21640, -3*y + 4*n + 26209 = 0. Is y composite? True Let y = 40 - 25. Let z be -3 - (2*y - 3). Is (z/12 - -2)/(1/(-3122)) composite? True Let u = -7289 - -22434. Let n = u + -7476. Is n a composite number? False Suppose 11*a + 15*a - 21*a - 374995 = 0. Is a composite? True Let d = -256 - -491. Let f = d - -192. Is f a composite number? True Let x be -2 + 3743 + 7 + -10. Let r = 7991 - x. Is r prime? True Suppose 108*t + 1338117 = 165*t - 920736. Is t composite? True Suppose -215 - 245 = -5*i + a, -2*i = -4*a - 166. Suppose 70*c = 69*c + i. Is c a prime number? False Let i(z) = 2*z**3 - 3*z**2 + 2. Let y be i(2). Suppose 0 = 5*r + 4*f - 18 + y, -14 = -r + 5*f. Suppose r*c - 299 = 9. Is c a prime number? False Let t(o) = o**3 + 11*o**2 + 3*o - 8. Suppose -5*z - r + 4*r = 20, 0 = -5*z - 4*r + 15. Let v be 0 + (5 - 0)/z. Is t(v) a prime number? True Let u(g) = -66 - 46 + 72 + 417*g. Is u(11) a composite number? False Let n be (-3 - 5910/(-42)) + 2/7. Is (121 + -3)/(12/n) a prime number? False Let g = -2195 + 6829. Suppose -11*a = 3*a - g. Is a composite? False Let w(y) = 66*y**2 - 80*y - 1181. Is w(-20) prime? False Suppose -3*f - k - 5273 = 1838, 5*k + 7115 = -3*f. Let n = f + 4217. Is n a prime number? True Let w(q) = 180*q**2 - 19*q - 17. Let f be w(-7). Let m = f - 5175. Is m a prime number? True Let s = 144619 + -92484. Is s a composite number? True Let y = -2669 - -4904. Suppose 0 = b - 10036 + y. Is b a composite number? True Let d = 967 - 965. Is (-1)/d*(-4 - 5544 - -14) prime? True Suppose -4*a = -4*x, 0 = 4*a - 2*x - 1 - 1. Let d = a - -5. Suppose 11*w = d*w + 2435. Is w a prime number? True Let t = 18 - -21. Let n(g) = 20*g - 14 + t*g - 20 + 14*g. Is n(11) prime? True Suppose 0 = -12*n + 28*n - 4392014 - 659906. Is n composite? True Let w = -3 + -7. Let d = w + 14. Suppose -595 = -d*n - 3*n. Is n a composite number? True Let m(d) = -d**3 - 4*d**2 - 3*d - 7. Let n be m(-4). Let
{ "pile_set_name": "DM Mathematics" }
Convert 78.4569 millennia to centuries. 784.569 What is ten thirds of a week in minutes? 33600 How many months are there in one quarter of a year? 3 What is 45/8 of a litre in millilitres? 5625 Convert 0.9087334ng to grams. 0.0000000009087334 What is 5/8 of a tonne in kilograms? 625 Convert 66572.98 centuries to millennia. 6657.298 What is 15/4 of a centimeter in micrometers? 37500 What is seventeen quarters of a litre in millilitres? 4250 What is 0.1048897ml in litres? 0.0001048897 How many minutes are there in 17.107338s? 0.2851223 How many millilitres are there in 11/2 of a litre? 5500 How many kilometers are there in 0.7913794um? 0.0000000007913794 How many hours are there in 5/8 of a day? 15 What is three fifths of a gram in milligrams? 600 How many milliseconds are there in one quarter of a minute? 15000 How many years are there in 31/5 of a millennium? 6200 Convert 2233.76mm to nanometers. 2233760000 How many milliseconds are there in 55/4 of a second? 13750 How many millilitres are there in fifty-three fifths of a litre? 10600 What is fifty-one fifths of a millennium in decades? 1020 What is 3/5 of a kilometer in meters? 600 How many grams are there in 60.8088 tonnes? 60808800 How many hours are there in 11/7 of a week? 264 How many milligrams are there in 1.192777kg? 1192777 Convert 31.0659867 seconds to weeks. 0.00005136571875 What is 75.33375mg in nanograms? 75333750 What is three tenths of a millimeter in micrometers? 300 What is 46/5 of a litre in millilitres? 9200 Convert 396185.13 milliseconds to hours. 0.110051425 What is 15/4 of a decade in months? 450 What is three fifths of a kilometer in centimeters? 60000 How many days are there in four sevenths of a week? 4 Convert 8435.189t to nanograms. 8435189000000000000 What is 0.8129549ml in litres? 0.0008129549 How many months are there in seventy-six fifths of a decade? 1824 What is one quarter of a minute in seconds? 15 How many litres are there in 622.0139 millilitres? 0.6220139 What is 1/60 of a decade in months? 2 What is 19/4 of a tonne in kilograms? 4750 How many minutes are there in twenty-one quarters of a week? 52920 How many millilitres are there in 5.468058l? 5468.058 Convert 8039.865l to millilitres. 8039865 What is 6/5 of a litre in millilitres? 1200 How many millennia are there in 69841.01 centuries? 6984.101 How many centimeters are there in fourty-seven quarters of a meter? 1175 What is seventeen halves of a day in minutes? 12240 How many millimeters are there in fifty-seven fifths of a meter? 11400 How many microseconds are there in 5/8 of a millisecond? 625 Convert 985958.1t to milligrams. 985958100000000 What is 8515.071 months in decades? 70.958925 Convert 366858.7 years to decades. 36685.87 What is 736.2522 centuries in years? 73625.22 What is 1/16 of a tonne in grams? 62500 How many centimeters are there in 217.9329nm? 0.00002179329 How many millilitres are there in 3/40 of a litre? 75 Convert 0.2953126ug to kilograms. 0.0000000002953126 What is one fifth of a century in months? 240 What is 25/2 of a decade in years? 125 What is 6.883605 millennia in years? 6883.605 How many micrometers are there in one tenth of a centimeter? 1000 What is 3/50 of a meter in centimeters? 6 How many seconds are there in eleven halves of a minute? 330 What is 3/10 of a gram in milligrams? 300 What is 1/4 of a litre in millilitres? 250 What is 2.0757954 months in millennia? 0.00017298295 How many centimeters are there in 31/2 of a meter? 1550 What is 36131.03 tonnes in milligrams? 36131030000000 How many grams are there in fifty-three fifths of a kilogram? 10600 What is 4.502537 millennia in decades? 450.2537 How many months are there in 33184.77 millennia? 398217240 Convert 526102.4l to millilitres. 526102400 What is 702199.8 minutes in milliseconds? 42131988000 What is 3/10 of a decade in months? 36 How many seconds are there in 1/5 of a minute? 12 How many months are there in 25/2 of a decade? 1500 What is 3/10 of a day in minutes? 432 What is 26/5 of a litre in millilitres? 5200 Convert 4.910361 litres to millilitres. 4910.361 What is 87/4 of a decade in months? 2610 What is 55.45196ml in litres? 0.05545196 What is 3/40 of a milligram in nanograms? 75000 What is 0.528983 days in seconds? 45704.1312 How many months are there in 1.373535 millennia? 16482.42 How many centimeters are there in 5834.472 micrometers? 0.5834472 What is 28785.97 litres in millilitres? 28785970 What is 7/3 of a decade in months? 280 How many millilitres are there in 7/2 of a litre? 3500 What is three fifths of a millennium in decades? 60 What is 75/8 of a litre in millilitres? 9375 What is 4/15 of a minute in milliseconds? 16000 Convert 30.69642ml to litres. 0.03069642 How many litres are there in 0.100305 millilitres? 0.000100305 What is 0.245411 nanometers in millimeters? 0.000000245411 How many hours are there in 18.995931 minutes? 0.31659885 How many micrometers are there in seventeen quarters of a centimeter? 42500 What is seven eighths of a milligram in micrograms? 875 What is twenty-five halves of a meter in millimeters? 12500 How many millilitres are there in 49/4 of a litre? 12250 How many seconds are there in 1/27 of a week? 22400 Convert 4078.044 years to months. 48936.528 How many millilitres are there in seventeen halves of a litre? 8500 What is fourty-five eighths of a kilometer in meters? 5625 How many months are there in 1/15 of a decade? 8 Convert 867.7412 milligrams to kilograms. 0.0008677412 How many centimeters are there in 15/4 of a meter? 375 Convert 661001.2 decades to centuries. 66100.12 How many litres are there in 7203.661 millilitres? 7.203661 What is 6/25 of a micrometer in nanometers? 240 What is 210.4906m in nanometers? 210490600000 How many milliseconds are there in 4947.464 weeks? 2992226227200 Convert 62163.7 seconds to nanoseconds. 62163700000000 What is thirteen quarters of a litre in millilitres? 3250 What is 142.2574 days in minutes? 204850.656 How many nanometers are there in 10514.2m? 10514200000000 What is sixteen fifteenths of a hour in minutes? 64 How many grams are there in 17.21551t? 17215510 How many seconds are there in one sixth of a minute? 10 Convert 4751.293 kilograms to tonnes. 4.751293 Convert 73.50453m to micrometers. 73504530 How many years are there in 11.65877 centuries? 1165.877 What is 4357.867 years in months? 52294.404 What is fourty-two fifths of a second in milliseconds? 8400 How many millimeters are there in 54.00768 meters? 54007.68 How many litres are there in 4085.663 millilitres? 4.085663 How many tonnes are there in 32760.34 nanograms? 0.00000000003276034 What is 25330.032 months in millennia? 2.110836 How many millilitres are there in 768921.5 litres? 768921500 How many millilitres are there in 32/5 of a litre? 6400 Convert 38468.88ng to tonnes. 0.00000000003846888 How many millilitres are there in 41/2 of a litre? 20500 How many minutes are there in eighteen sevenths of a week? 25920 How many millilitres are there in fourty-two fifths of a litre? 8400 What is 0.6784457ml in litres? 0.0006784457 Convert 0.0457781ml to litres. 0.0000457781 How many millilitres are there in 6/25 of a litre? 240 How many years are there in 93/4 of a century? 2325 How many centuries are there in 894285.3 decades? 89428.53 What is one fifth of a tonne in kilograms? 200 What is 7/4 of a microgram in nanograms? 1750 How many millimeters are there in three tenths of a meter? 300 How many millilitres are there in 25699.85 litres? 25699850 How many millilitres are there in 7/2 of a litre? 3500 What is 16.00573 litres in millilitres? 16005.73 How many months are there in 4/3 of a decade? 160 How many microseconds are there in 21/4 of a millisecond? 5250 What is 303618.3m in nanometers? 303618300000000 What is seventy ninths of a hour in seconds? 28000 What is 292904.8 centuries in decades? 2929048 What is 3722.908 meters in millimeters? 3722908 What is fourty-seven quarters of a litre in millilitres? 11750 How many kilometers are there in 97.33495um? 0.00000009733495 Convert 689.2935ml to litres. 0.6892935 What is 6/25 of a litre in millilitres? 240 How many millimeters are there in 4.724387m? 4724.387 Convert 20238419.7 seconds to days. 234.24096875 What i
{ "pile_set_name": "DM Mathematics" }
/3 - 284*i/3. i*(i + 2)*(3*i - 142)/3 Determine w, given that 2*w**2 + 160852*w + 3234170738 = 0. -40213 Factor 4*f**3 - 11692*f**2 + 128080*f + 139776. 4*(f - 2912)*(f - 12)*(f + 1) Solve -2*o**4/7 - 274*o**3/7 + 19314*o**2/7 + 4314330*o/7 + 163308744/7 = 0 for o. -87, 124 Factor -n**5 + 328*n**4 - 1932*n**3. -n**3*(n - 322)*(n - 6) Factor -5*y**3 + 1685*y**2 - 116615*y - 118305. -5*(y - 239)*(y - 99)*(y + 1) Determine p, given that 3*p**3 - 639*p**2 + 22056*p - 21420 = 0. 1, 42, 170 Let o**3/2 + 1191*o**2 + 4758*o + 4756 = 0. Calculate o. -2378, -2 What is h in 3*h**4 + 6429*h**3 + 64083*h**2 + 198459*h + 191970 = 0? -2133, -5, -3, -2 Let -5*b**3 + 576*b**2 - 3924*b + 3888 = 0. What is b? 6/5, 6, 108 Determine d, given that -d**2/6 - 3*d + 24 = 0. -24, 6 Factor 16*m**3 + 146184*m**2 - 365535*m + 228475. (m + 9139)*(4*m - 5)**2 Determine k so that -k**5/6 + 85*k**4/2 - 1109*k**3/3 + 158*k**2 + 4444*k/3 - 1312 = 0. -2, 1, 2, 8, 246 Find l, given that -2*l**2/7 - 144*l + 48224/7 = 0. -548, 44 Find o such that -2*o**4/5 + 36*o**3 - 5058*o**2/5 + 38584*o/5 + 166296/5 = 0. -3, 26, 41 Factor y**2/3 + 1118*y/3 - 11480. (y - 30)*(y + 1148)/3 Find q, given that -3*q**2 - 16098*q - 21595467 = 0. -2683 Factor -5*z**2 + 57920*z - 57915. -5*(z - 11583)*(z - 1) Let f**3/2 + 25830*f**2 + 666413325*f/2 - 10019460375 = 0. Calculate f. -25845, 30 Suppose 6*y**4/7 - 3207*y**3/7 + 416310*y**2/7 + 3275577*y/7 + 3965814/7 = 0. Calculate y. -6, -3/2, 271 Solve -2*r**2/7 - 3456*r/7 + 87650/7 = 0. -1753, 25 Factor 3*n**4 + 75399*n**3 - 1357911*n**2 + 6111693*n. 3*n*(n - 9)**2*(n + 25151) Factor j**3/7 - 10320*j**2 - 361225*j/7. j*(j - 72245)*(j + 5)/7 Factor -3*s**2/8 + 897*s/4 + 5409/8. -3*(s - 601)*(s + 3)/8 Factor -a**2/3 + 71*a - 5642/3. -(a - 182)*(a - 31)/3 What is x in 5*x**3 - 27970*x**2 - 336180*x - 1009080 = 0? -6, 5606 Factor 3*s**2/8 + 145575*s/4 + 145569. 3*(s + 4)*(s + 97046)/8 Suppose 3*x**2 + 13341*x + 26670 = 0. Calculate x. -4445, -2 Solve -36*n**3 - 218224*n**2 - 330682100*n + 73495688 = 0. -3031, 2/9 Let 4*f**5/3 + 8456*f**4/3 - 77008*f**3 + 436664*f**2/3 - 214100*f/3 = 0. Calculate f. -2141, 0, 1, 25 Factor -2889*r**3/7 + 5784*r**2/7 - 2901*r/7 + 6/7. -3*(r - 1)**2*(963*r - 2)/7 Suppose -3*t**4/4 + 10455*t**3/2 - 33027699*t**2/4 - 2969199090*t - 241964592012 = 0. Calculate t. -156, 3641 Factor t**2/6 + 64513*t/6. t*(t + 64513)/6 Factor 5*n**2 - 465400*n + 1396155. 5*(n - 93077)*(n - 3) Factor 2*y**2/5 + 4304908*y/5 + 2316529111058/5. 2*(y + 1076227)**2/5 Factor 64*a**4 + 17168*a**3 + 1578156*a**2 + 53341187*a + 334255384. (a + 8)*(4*a + 347)**3 Factor -4*m**3/5 - 76*m**2/5 + 564*m/5 - 180. -4*(m - 3)**2*(m + 25)/5 Factor -2*i**2 + 11674*i. -2*i*(i - 5837) Factor -i**3 + 5*i**2 + 36*i - 180. -(i - 6)*(i - 5)*(i + 6) Find r such that -2*r**2/5 + 4204*r/5 + 4206/5 = 0. -1, 2103 Factor 2*w**2 + 77546*w. 2*w*(w + 38773) Determine j, given that 4479*j**4 - 4473*j**3 - 6*j**2 = 0. -2/1493, 0, 1 Factor -3*s**3 + 156*s**2 - 153*s. -3*s*(s - 51)*(s - 1) Factor h**3/2 + 8153*h**2/2 - h/2 - 8153/2. (h - 1)*(h + 1)*(h + 8153)/2 Determine t, given that -3*t**3 - 741*t**2 + 3000*t - 3012 = 0. -251, 2 Factor 245*t**5 + 1528975*t**4 - 436865*t**3 + 31205*t**2. 5*t**2*(t + 6241)*(7*t - 1)**2 Factor y**3 - 570*y**2 + 17753*y - 17184. (y - 537)*(y - 32)*(y - 1) Let -25*u**5 + 220*u**4 + 236*u**3 - 3488*u**2 + 2624*u - 512 = 0. Calculate u. -4, 2/5, 4, 8 Let g**2/4 - 2238*g + 5008644 = 0. What is g? 4476 Find n such that 30*n**5 - 68*n**4 - 362*n**3 - 232*n**2 - 40*n = 0. -2, -2/5, -1/3, 0, 5 Factor 4*b**4 + 559536*b**3 + 19568652496*b**2 + 78267895680*b + 78265657600. 4*(b + 2)**2*(b + 69940)**2 Factor -3*c**3 + 63*c**2 + 27*c - 567. -3*(c - 21)*(c - 3)*(c + 3) Let 4*s**4 - 476*s**3 - 10020*s**2 + 21452*s - 10960 = 0. Calculate s. -20, 1, 137 Let 6*w**5 - 595*w**4 + 687*w**3 - 98*w**2 = 0. What is w? 0, 1/6, 1, 98 Find b, given that -22*b**5/7 - 218*b**4/7 + 106*b**3 + 7514*b**2/7 - 1680*b - 6048 = 0. -9, -7, -21/11, 4 Factor g**3/7 - 1957*g**2/7 - 9056*g - 509184/7. (g - 1989)*(g + 16)**2/7 Solve -3*w**3 - 48*w**2 + 98613*w + 98658 = 0. -189, -1, 174 What is c in -2*c**2 - 62728*c - 491850248 = 0? -15682 Factor -f**2/2 + 879*f/2 + 440. -(f - 880)*(f + 1)/2 Solve 10*j**3/9 - 518*j**2/3 - 1380*j + 5216/9 = 0. -8, 2/5, 163 Determine z so that -4*z**2 + 162024*z - 1640736036 = 0. 20253 Factor -17*s**5/2 - 6527*s**4/4 - 78288*s**3 + 2304*s**2. -s**2*(s + 96)**2*(34*s - 1)/4 Find q, given that 2*q**3 - 308*q**2 + 4658*q = 0. 0, 17, 137 Factor 5*w**2 + 3250*w + 6480. 5*(w + 2)*(w + 648) Solve i**2/4 + 6241*i/2 = 0 for i. -12482, 0 Suppose g**5/2 + 67*g**4/2 - 289*g**3 + 813*g**2 - 1791*g/2 + 675/2 = 0. Calculate g. -75, 1, 3 Factor -3*b**2/2 - 17442*b - 50703894. -3*(b + 5814)**2/2 Suppose -4*r**5 - 436*r**4 - 3484*r**3 + 78164*r**2 - 289840*r + 215600 = 0. What is r? -98, -22, 1, 5 Factor 2*h**2/7 - 1380*h/7 + 238050/7. 2*(h - 345)**2/7 Let 2*c**4/11 + 3808*c**3/11 + 1797280*c**2/11 - 14622976*c/11 = 0. What is c? -956, 0, 8 Let -3*f**2 + 50*f/7 + 71/7 = 0. What is f? -1, 71/21 Factor -3*z**2 + 609*z + 1230. -3*(z - 205)*(z + 2) Find z, given that -z**4/9 + 288337*z**3/9 - 20784412223*z**2/9 - 20784700561*z/9 = 0. -1, 0, 144169 Factor 4*t**4/7 - 176284*t**3/7 + 705088*t**2/7 - 705072*t/7. 4*t*(t - 44067)*(t - 2)**2/7 Solve 4*m**3 + 59416*m**2 - 118844*m + 59424 = 0. -14856, 1 Factor -4*y**2/5 - 103824*y/5 - 673713936/5. -4*(y + 12978)**2/5 Let -68*m**4 - 33312*m**3 - 4077780*m**2 + 480200*m = 0. What is m? -245, 0, 2/17 Solve -c**5 + 531*c**4 - 2117*c**3/4 - 398*c**2 + 1059*c/4 + 265/2 = 0 for c. -1/2, 1, 530 Let m**4/7 + 610*m**3/7 + 5388*m**2/7 - 12610*m/7 + 6611/7 = 0. Calculate m. -601, -11, 1 Factor -o**2 + 768120*o - 147502083600. -(o - 384060)**2 Solve -27*k**4 + 66*k**3 + 3047*k**2/3 + 4228*k/3 + 1568/3 = 0. -4, -7/9, 8 Determine a, given that 3*a**3 - 138387*a**2 - 415182*a - 276792 = 0. -2, -1, 46132 Suppose 2*t**2 + 35448*t = 0. Calculate t. -17724, 0 Solve -d**3 + 27182*d**2 + 108740*d + 108744 = 0 for d. -2, 27186 Factor 1493284*s**3/9 + 37882*s**2 - 58432*s/3 + 13778/9. 2*(2*s + 1)*(611*s - 83)**2/9 Suppose 12*m**4 - 107400*m**3 - 214833*m**2 - 134277*m - 26856 = 0. What is m? -1, -1/2, 8952 Factor 3*n**4 + 131*n**3 + 885*n**2 + 2097*n + 1620. (n + 3)**2*(n + 36)*(3*n + 5) Let -4*p**4 + 1112*p**3 + 1124*p**2 - 2232*p = 0. What is p? -2, 0, 1, 279 Factor 4*p**2 - 79472*p + 1349868. 4*(p - 19851)*(p - 17) Determine d so that 3*d**2 - 3264*d - 13104 = 0. -4, 1092 Suppose -4*f**5 - 320*f**4 - 304*f**3 + 968*f**2 + 1588*f + 632 = 0. What is f? -79, -1, 2 Determine d so that -2*d**5/7 - 750*d**4/7 - 74934*d**3/7 - 851786*d**2/7 = 0. -181, -13, 0 Factor 2*v**2/15 - 84844*v/5 + 2699439126/5. 2*(v - 63633)**2/15 Determine k so that k**3/4 + 11587*k**2/4 + 33547255*k/4 - 100746075/4 = 0. -5795, 3 Determine f, given that -2*f**5/15 + 74*f**4/15 + 75754*f**3/15 + 4931278*f**2/15 + 1927120*f/3 + 956000/3 = 0. -100, -1, 239 Factor l**4/4 - 1107*l**3/4 + 69984*l**2 + 3732480*l. l*(l - 576)**2*(l + 45)/4 Factor 6*u**2/7 + 5183700*u/7 + 1119614403750/7. 6*(u + 431975)**2/7 Factor -2*u**2/7 - 794*u + 51156. -2*(u - 63)*(u + 2842)/7 Determine a so that -2*a**3 + 23626*a**2 - 69619662*a - 909052794 = 0. -13, 5913 Factor -3*d**3 - 20667*d**2 + 289971*d + 310635. -3*(d - 15)*(d + 1)*(d + 6903) Factor -2*i**2/15 + 3062*i/15 - 103332/5. -2*(i - 1422)*(i - 109)/15 Solve -5*a**2 + 342135*a + 1710800 = 0 for a. -5, 68432 Let -m**3 + 245823*m**2 - 15107359743*m + 15107113921 = 0. Calculate m. 1, 122911 Solve 5*h**2/4 - 194295*h + 7550109405 = 0 for h. 77718 Factor -4*w**2 - 816*w - 6272. -4*(w + 8)*(w + 196) Suppose 5*f**3 - 99725*f**2 - 199465*f - 99735 = 0. What is f? -1, 19947 Suppose 10*t**2/3 + 102574*t/3 + 13676 = 0. Calculate t. -10257, -2/5 Suppose -285*y**3 + 1701*y**2 + 2049*y + 63 = 0. Calculate y. -1, -3/95, 7 Suppose -q**3 + 107901*q**2 - 2910710400*q + 2910602500 = 0. What is q? 1, 53950 Suppose -a**3/4 - 1038*a**2 - 1085700*a - 17106496 = 0. What is a? -2068, -16 Suppose 4*i**2 - 1552*i - 12672 = 0. What is i? -8, 396 What is x in 11*x**2/4 + 17249*x/4 + 4701 = 0? -1567, -12/11 Find t such that 20*t**4 + 3128*t**3 - 81572*t**2 - 119048*t - 34368 = 0. -179, -1, -2/5
{ "pile_set_name": "DM Mathematics" }
est common divisor of 680 and 37480? 40 What is the greatest common factor of 2034 and 558? 18 Calculate the highest common factor of 4 and 37462. 2 What is the highest common divisor of 170208 and 1970? 394 What is the highest common factor of 744053 and 87? 29 Calculate the highest common factor of 1243 and 27233. 113 What is the highest common factor of 670 and 5159? 67 Calculate the greatest common factor of 10491 and 227036. 269 Calculate the greatest common divisor of 1146 and 688173. 573 What is the highest common factor of 132489 and 5103? 189 What is the greatest common divisor of 16 and 47964? 4 Calculate the highest common factor of 390 and 46722. 78 What is the greatest common divisor of 1267300 and 232? 116 What is the highest common divisor of 68896 and 128? 32 Calculate the highest common divisor of 242114 and 1. 1 What is the highest common divisor of 305 and 39125? 5 Calculate the greatest common factor of 33124 and 332. 4 What is the greatest common divisor of 240 and 5235960? 120 What is the greatest common divisor of 211992 and 29766? 726 What is the greatest common factor of 44822 and 4298? 614 What is the highest common divisor of 792 and 365112? 792 What is the greatest common divisor of 45536 and 32? 32 What is the greatest common factor of 7208 and 11016? 136 Calculate the greatest common divisor of 1105 and 72607. 17 What is the highest common divisor of 11 and 1505339? 11 What is the highest common divisor of 115285 and 40? 5 Calculate the greatest common divisor of 126380 and 14685. 445 Calculate the highest common factor of 275 and 464275. 25 What is the greatest common divisor of 3 and 3839? 1 Calculate the highest common factor of 5828 and 3472. 124 Calculate the highest common divisor of 363 and 9966. 33 Calculate the highest common divisor of 8262 and 318. 6 What is the greatest common divisor of 94184 and 22388? 772 Calculate the greatest common divisor of 36 and 3198402. 18 Calculate the highest common factor of 1070 and 81106. 214 Calculate the highest common divisor of 1803 and 1047. 3 Calculate the greatest common divisor of 1704 and 27051. 213 Calculate the highest common factor of 239 and 8365. 239 What is the highest common divisor of 38 and 97546? 38 Calculate the highest common factor of 198100 and 12950. 350 Calculate the greatest common divisor of 2540 and 980. 20 What is the greatest common divisor of 16946 and 370? 74 Calculate the greatest common divisor of 99 and 109131. 33 What is the highest common factor of 506 and 517? 11 Calculate the greatest common factor of 5312 and 52373. 83 Calculate the highest common divisor of 1537726 and 1434. 478 What is the greatest common factor of 39616 and 5312? 64 What is the greatest common divisor of 10 and 113105? 5 What is the highest common divisor of 1278 and 1377? 9 Calculate the greatest common factor of 960 and 402720. 480 Calculate the greatest common divisor of 123 and 382202. 41 What is the highest common factor of 37200 and 59985? 465 What is the greatest common divisor of 2745 and 928908? 549 What is the greatest common divisor of 3448 and 632? 8 What is the greatest common divisor of 392 and 395528? 392 What is the greatest common factor of 1152 and 472? 8 What is the highest common divisor of 1581 and 301599? 93 Calculate the greatest common factor of 43439 and 3751. 121 Calculate the highest common divisor of 648 and 10188. 36 Calculate the greatest common factor of 21721 and 20223. 749 Calculate the highest common factor of 202 and 263004. 202 What is the greatest common factor of 12154 and 826? 118 Calculate the highest common divisor of 969 and 3043. 17 What is the greatest common factor of 95480 and 260? 20 Calculate the greatest common factor of 135 and 5922045. 135 Calculate the highest common factor of 166880 and 15260. 140 Calculate the greatest common divisor of 5920 and 50080. 160 Calculate the highest common divisor of 169337 and 1037. 17 What is the greatest common divisor of 8986 and 2? 2 Calculate the highest common divisor of 94 and 2726. 94 Calculate the highest common factor of 34 and 39062. 2 What is the greatest common divisor of 714 and 453288? 102 What is the highest common divisor of 4697 and 263459? 427 Calculate the greatest common divisor of 10063 and 9022. 347 Calculate the greatest common divisor of 10198 and 18. 2 What is the greatest common divisor of 112 and 3236968? 56 Calculate the highest common divisor of 55896 and 3264. 408 Calculate the greatest common factor of 97 and 536507. 97 Calculate the highest common divisor of 1485638 and 968. 242 What is the highest common factor of 913 and 6557? 83 Calculate the highest common factor of 61640 and 23000. 920 Calculate the greatest common divisor of 5824 and 96. 32 What is the highest common divisor of 282222 and 162? 18 What is the greatest common divisor of 22752 and 240? 48 What is the highest common factor of 5121328 and 16? 16 What is the greatest common divisor of 1887 and 4033? 37 What is the greatest common divisor of 363538 and 644? 322 Calculate the highest common divisor of 5427 and 335. 67 What is the highest common factor of 6322 and 828? 2 Calculate the highest common factor of 77 and 8351. 7 Calculate the greatest common factor of 865075 and 125. 25 What is the highest common factor of 3396 and 568264? 1132 What is the highest common factor of 124818 and 1172? 586 What is the highest common factor of 56740 and 96? 4 What is the greatest common factor of 1720431 and 855? 171 Calculate the highest common factor of 1875 and 165. 15 Calculate the highest common factor of 176665 and 1191. 397 What is the greatest common factor of 3 and 42403? 1 What is the greatest common divisor of 2006 and 4130? 118 What is the greatest common factor of 338 and 107991? 169 Calculate the greatest common factor of 1360 and 1620. 20 What is the highest common divisor of 272 and 43724? 68 Calculate the highest common factor of 4 and 6964. 4 What is the highest common factor of 39930 and 6? 6 Calculate the highest common factor of 171 and 400254. 57 Calculate the highest common divisor of 118 and 428045. 59 What is the greatest common factor of 194 and 388582? 194 What is the greatest common factor of 13 and 2664961? 13 Calculate the highest common factor of 8 and 431384. 8 Calculate the highest common factor of 132 and 94776. 132 What is the highest common divisor of 181798 and 34? 34 Calculate the highest common divisor of 565958 and 244. 122 What is the highest common factor of 612 and 73032? 204 What is the highest common factor of 21188 and 40? 4 What is the highest common factor of 26328 and 4368? 24 What is the greatest common divisor of 225 and 573? 3 What is the greatest common factor of 3538 and 37033? 29 What is the highest common divisor of 580728 and 24? 24 What is the greatest common factor of 37045 and 310? 155 Calculate the highest common divisor of 43692 and 198. 66 What is the highest common divisor of 4899587 and 561? 187 Calculate the greatest common divisor of 302526 and 252. 126 Calculate the highest common divisor of 22265 and 488. 61 What is the highest common divisor of 14876 and 4? 4 Calculate the greatest common factor of 54 and 562. 2 Calculate the greatest common divisor of 3004 and 857642. 1502 Calculate the greatest common divisor of 6366 and 6. 6 What is the highest common divisor of 240235 and 115? 115 Calculate the greatest common divisor of 7725200 and 1424. 1424 Calculate the highest common divisor of 51039 and 7155. 477 What is the highest common divisor of 24 and 1668? 12 What is the greatest common divisor of 8046 and 326608? 298 Calculate the greatest common factor of 109238 and 4245. 283 Calculate the highest common divisor of 2954 and 672. 14 What is the greatest common factor of 1790563 and 86? 43 What is the highest common factor of 2744 and 7056? 392 Calculate the highest common factor of 11655 and 1575. 315 Calculate the greatest common divisor of 476 and 5950. 238 What is the highest common divisor of 25 and 1248450? 25 What is the highest common divisor of 64980 and 180? 180 What is the greatest common divisor of 4432128 and 597? 597 What is the greatest common divisor of 46 and 1233467? 23 What is the highest common divis
{ "pile_set_name": "DM Mathematics" }
p**4 + p**4 + 2*p**4)*(-11 - 6 + 95) in the form z*p + f*p**2 + o + n*p**3 + u*p**4 and give u. 390 Express 2*i**4 + 6 - 6 + (-13 + 8 + 9)*(-2*i**4 + 5*i**2 - 5*i**2) as v*i**3 + y*i + u*i**4 + b*i**2 + a and give u. -6 Express 480 - 239 + 326*q**2 - 240 in the form u + g*q**2 + y*q and give u. 1 Express (28*b + 25*b - 41*b)*(-2 + 2 + 2)*(3 + 21*b - 48*b + 23*b) as z + g*b + y*b**2 and give g. 72 Express 140*i**4 + i**3 - 296*i**4 + 150*i**4 - i as a + s*i**4 + l*i + k*i**2 + d*i**3 and give d. 1 Express 31*m**2 + m**4 - 10*m**2 - 3 - 22*m**2 - 20*m - 1 as s*m + x*m**3 + n*m**4 + y + w*m**2 and give s. -20 Express 4 + 6 - 56*u - 10 as v*u + r and give v. -56 Express (2 - 4 - 1)*(-427*g - 249*g + 189*g) as z*g + t and give z. 1461 Rearrange -3*x**4 + 6*x**3 - 16*x**3 - 13*x**3 + x**4 + 2*x**2 to the form k*x**4 + h*x + s*x**2 + i + j*x**3 and give j. -23 Rearrange 175*p**2 - 361*p**2 + 140*p**2 + 5*p to t + u*p**2 + i*p and give u. -46 Rearrange (-3*l + l + 0*l)*(-20 + 3*l**2 + 80 + 43) - 2*l**3 - 2*l**2 + 2*l**2 to y*l**3 + m*l**2 + p + f*l and give f. -206 Express (t**3 + t**2 - t**2)*(1 + 1 - 3) + (381*t**2 + 34*t**3 - 381*t**2)*(-2 + 0 + 3)*(-1 - 2 + 19)*(-1 + 3 + 0) as o + z*t**3 + m*t**2 + u*t and give o. 0 Express 369*m - 370*m - 4*m**3 + 2*m**4 + 8*m**4 - 1 as n + j*m**3 + t*m + z*m**2 + v*m**4 and give t. -1 Express (0*y - 4*y + 2*y)*(77*y**2 - 3 - 79*y**2 - 4) in the form r*y + b*y**2 + i + a*y**3 and give a. 4 Express 9*t**2 + 72*t**2 + t - 29*t**2 + 129*t**2 + 122*t**2 in the form c*t + u*t**2 + x and give c. 1 Rearrange 12*s**3 - 2*s**4 - 41*s + 2 + 17*s**3 + 9*s**3 - 2*s**2 - 37*s**3 to the form u*s**4 + c + h*s + t*s**3 + x*s**2 and give c. 2 Express 19025*d**3 - 37*d**2 + 6*d**2 - 19043*d**3 + 2*d as b + o*d**2 + h*d + p*d**3 and give p. -18 Express (-p + 11 + 99 - 59)*(-5*p + 3*p + p)*(-p + 4*p - p) as t + v*p + i*p**3 + x*p**2 and give x. -102 Express (1 + 2 + 0)*(6*h - 5*h + h) + 1 - 1 - h + (0 - 2 - 24)*(2 + 2 - 2)*(2*h - 1 + 1) as x*h + q and give x. -99 Express 123*c - 394*c - 231*c - 280*c as v + j*c and give j. -782 Rearrange -1 - 46*l - 2*l**3 + 42*l - l**2 + 0 + 32*l**4 + 0 to v*l + g + h*l**3 + b*l**4 + m*l**2 and give g. -1 Express 8 + 17*j - 7 - 21 + 37 as i*j + w and give w. 17 Rearrange -376*y**2 - 161*y**2 - 935*y**2 to x*y + n + s*y**2 and give n. 0 Express (-3*v - 3*v + 4*v)*(2*v**2 + 0*v**2 + 0*v**2) - 318*v**2 + v - v + 34*v**3 + 318*v**2 in the form i*v**3 + k*v**2 + x + h*v and give i. 30 Rearrange 4*l - 4*l + 7*l**2 + (l - l - l)*(-l - 2 + 2) - 2*l**2 - l + l + (9 + 1 + 2)*(2*l**2 + 2*l**2 - 2*l**2) to r*l**2 + q + k*l and give r. 30 Express -45*b - 36*b - 39*b - 207*b**2 + 122*b in the form s*b**2 + o*b + y and give o. 2 Express -2 + 2 + 3*w**2 + 308*w**3 - 265*w**3 - 2*w**2 as j*w + x*w**2 + p*w**3 + f and give p. 43 Express 24*n + 9*n + 9*n + 9*n**2 - 2 in the form z*n**2 + v*n + f and give f. -2 Express (-3*g + 0*g + 5*g)*(2*g - 190*g**3 - 5*g + 151*g**3) in the form y*g**4 + r*g**2 + d*g**3 + b + m*g and give y. -78 Rearrange -t**2 - 39*t**3 + 0*t**2 + t**2 + 31*t**3 - 1 - 5*t**2 to h*t**2 + q + m*t + r*t**3 and give q. -1 Rearrange 11*l + 36*l + 6*l + (3 - 3 - l)*(1 + 2 - 2) + (0 + 5 - 3)*(4*l + 0*l - 2*l) + 2 + 2*l - 2 + 4*l + l - 3*l - 59*l - 22*l + 26*l to k + r*l and give r. 5 Express -k + k - 2*k**3 - 74*k**2 + k**3 + 3*k + 74*k**2 + (-4*k + 3*k + 3*k)*(-k**2 - 4*k**2 - 2*k**2) in the form p*k**3 + c*k + i + s*k**2 and give c. 3 Rearrange -86*o**3 + o**2 - 6*o + 14*o + o - 8*o to the form c*o**3 + d*o**2 + r*o + h and give c. -86 Express (-18 - 26*b + 17*b + 10*b)*(7*b - 6*b + 7*b) as o*b**2 + t + g*b and give g. -144 Rearrange (-81*k**3 + 30*k**3 + 14*k**3)*(-1 + 0 + 0) to the form z*k**2 + l + h*k**3 + a*k and give h. 37 Rearrange -2252*f - 634*f + 592*f to o*f + i and give o. -2294 Rearrange (2*f**2 + f**2 - 5*f**2)*((3 - 5*f - 3)*(-1 + 3*f + 1) - 21*f + 9*f**2 + 21*f) to the form h*f**2 + g*f**4 + p + d*f**3 + c*f and give g. 12 Rearrange (-5*n + n + 2*n)*(-3*n**2 + 2*n**2 + 3*n**2) - n**3 - 6972*n**2 + 6972*n**2 - 86*n to y*n**3 + o + l*n + m*n**2 and give y. -5 Rearrange (-28*f - 35*f + 38*f)*(0 + 2*f + 0) + f**2 + f**2 + 3*f - f to n + h*f + u*f**2 and give u. -48 Rearrange 21*b - 37*b**2 + 14*b - 56*b + 22*b to the form g*b**2 + v*b + q and give g. -37 Rearrange (4*z - z - 5*z)*(31 - 767 + 236 - 875) to j + n*z and give n. 2750 Rearrange -271*j + 3*j**3 - j**4 + j**3 + 276*j to y*j**4 + t*j**2 + s*j + x*j**3 + c and give x. 4 Rearrange 41*v**4 + 23*v**4 + 37*v**4 + (v**3 + 0*v**2 + 0*v**2)*(6*v - v + 4*v) to the form s*v + k*v**2 + z*v**4 + i*v**3 + o and give z. 110 Rearrange -13*o**2 - 42 - o + 8*o**2 + 2*o**3 + 50 + 5*o**2 to the form l*o + z*o**3 + n*o**2 + y and give l. -1 Rearrange 0 - 5*g + 5*g**2 - 19*g**2 + 0 + 64*g**2 to the form b*g**2 + f*g + l and give f. -5 Express -3*u**3 + 2*u + 33*u**2 - 48*u**2 + 0*u + 6*u**3 - 2 in the form o*u**2 + j*u + z + a*u**3 and give a. 3 Rearrange -31 + 2*z + 5*z - 5*z + (-4 + 0 + 5)*(5 + z - 5) to o*z + i and give o. 3 Rearrange -6*x**2 + x + 5*x**2 - 2*x + 2*x**4 + x**3 + 2*x**2 to a*x**2 + w*x**3 + z*x**4 + l + j*x and give l. 0 Rearrange 3*d - 10*d - 6*d**3 - 7*d**3 to the form b*d**2 + w*d + p + x*d**3 and give w. -7 Express 37 + 33 - 6*k - 57 + 50 + 17*k as s*k + h and give s. 11 Express (-6*d**3 - d**3 + 2*d**3)*(-31 + 31 - 33) as m*d**2 + q*d + o*d**3 + l and give l. 0 Express -8*f - 8*f + 66*f + 43*f as o + k*f and give k. 93 Rearrange (-29*h - 11*h + 59*h)*(-2 - 2*h + 5*h + h) to the form f + r*h + a*h**2 and give a. 76 Rearrange (1775*r**2 + 2794 - 2794)*(-3*r**2 + 3*r**2 + 2*r**2) to c*r**2 + q*r**3 + v + d*r**4 + b*r and give d. 3550 Rearrange (-69*t + 223*t - 31*t + 363*t)*(2*t - 3*t - 2*t) to the form m + g*t + v*t**2 and give v. -1458 Express 2*h + 4*h - 5*h + (-3*h - 2*h + h)*(-1 - 6 + 8 + (2 - 3 - 2)*(2 - 1 - 3)) as p*h + s and give p. -27 Rearrange -83*d + 45*d + 37*d + 27 to l*d + u and give l. -1 Express 1 + 2*c**3 - 2 - 4*c**3 + (-76*c - 43 + 43)*(-6*c**2 + 3*c**2 + 4*c**2) + 0*c**3 + 3*c**3 - 2*c**3 as l*c + p*c**2 + i + n*c**3 and give n. -77 Rearrange (-4 + 1 + 2)*(1 + 3 - 3)*(-155*g**2 + 292*g**2 - 214*g**2)*((0*g - g + 2*g)*(-3 + 1 + 5) + g - 2*g + 2*g) to h + q*g**2 + n*g**3 + l*g and give n. 308 Express (4*r - 4*r + 2*r)*(-103*r + 103*r - r**2) in the form p + i*r**3 + d*r**2 + c*r and give i. -2 Rearrange -3 + 10*j**2 + 81*j**2 + 1 + 17*j**2 to the form m + z*j + o*j**2 and give o. 108 Rearrange 5*g**4 - 7840*g**3 + 7840*g**3 - 1 + 18*g to u*g + z + m*g**3 + r*g**2 + i*g**4 and give i. 5 Rearrange (2*f**2 + 4*f**2 - 5*f**2)*(5*f + 95 - f - 89) - 2*f**3 + 2*f - 2*f to z*f + m*f**2 + o + q*f**3 and give q. 2 Express -60*d**2 - 48 - 63 + 128 in the form o*d**2 + c + r*d and give c. 17 Express -206*h**3 + 2 - 8*h - 210*h**3 - 7*h**4 + 416*h**3 as b + z*h**4 + w*h**2 + x*h + a*h**3 and give x. -8 Express -11*x**3 - 15*x**3 - 68*x**2 + 15*x**3 as m*x + i*x**2 + q + k*x**3 and give k. -11 Rearrange -98*r - 105*r + 402*r - 103*r - 97*r - 78 to h*r + y and give y. -78 Rearrange 95*s - 1 + 99*s - 211*s + 1 + 2*s - 1 + (2 - 5 + 1)*(-5*s + 3*s + 0*s) + s - s - s to the form y + q*s and give q. -12 Express (-3 - 4 + 2)*((2*i - i + 0*i)*(i**2 + 0*i**2 + 2*i**2) - 3*i**3 + i**3 - 2*i**3) in the form w*i**3 + s + d*i + f*i**2 and give w. 5 Rearrange (-31 + 58 - 18)*(2 + 5*f - 2) to the form g*f + r and give g. 45 Express -2*z**2 - 12*z**2 + 8*z**2 + 2*z**2 + 8*z**2 - 2 + 40*z**3 as j + a*z + p*z**3 + c*z**2 and give p. 40 Express -214*o - 3 + 209*o + 3 + 136*o**2 as d + k*o**2 + w*o and give w. -5 Express (-3 - 2 + 6)*(-3*g + 5*g - g)*(3 - 9 - 47) as u + p*g and give p. -53 Rearrange -19*i**3 - 924*i + 924*i + (0*i + 4*i - 5*i)*(-3 + 3 + 2*i**2) to m + d*i**3 + o*i + f*i**2 and give d. -21 Rearrange -m**4 + 745*m**2 - 179*m**2 - 237*m**2 - 209*m**2 + m to the form g*m**4 + j + q*m**2 + a*m**3 + p*m and give p. 1 Express 78*g**2 + 2*g**3 - 42*g**2 - 4*g**3 + 2*g**4 as u*g**2 + p + r*g**3 + y*g + m*g**4 and give r. -2 Rearrange -v**2 - 3*v**3 + 193 - v**2 - 207 + 7*v**3 to x*v**2 + h + i*v + g*v**3 and give g. 4 Express (-13 - 35 - 6)*(2*d + 4 - 4) + 4*d - 4*d + d as k*d + m and give k. -107 Rearrange -851*i - 32*i**2 + 15 +
{ "pile_set_name": "DM Mathematics" }
5*c**3 + 2*c**3)*(-91*c + 173*c + 183*c). -794*c**4 Expand (3*s - 5*s + 3*s)*(6 + 27 - 2) + (-14 - 3 - 1)*(2 + s - 2). 13*s Expand -5*h - 4*h**2 + 0*h**2 - h**4 + 2*h + (7 - 1 + 2)*(-2 + h**4 + 2) - 5*h**4 + 2*h**4 + 2*h**4. 6*h**4 - 4*h**2 - 3*h Expand (6 + 7 - 10)*(-2*d - 5 + 5)*(d**4 + 2*d**4 + 2*d**4). -30*d**5 Expand 394141 + 1350*q**3 - 394141 + (-q - q**2 + q)*(0*q - 3*q + 2*q). 1351*q**3 Expand (-8*u + 6 - 6)*(5 - 5 - 6*u + (1 + 5 - 4)*(u - 3*u + 0*u)). 80*u**2 Expand (0*k + 3*k + 0*k)*(-2 - 2*k**3 + 2) - 21*k**4 - 23*k**4 + 38*k**4. -12*k**4 Expand (-d - 3*d + 3*d)*((2 - 2 - 5*d)*(-2 - 1 + 2) - 5*d - 5*d + d). 4*d**2 Expand (u**2 + 8*u**2 + 5*u**2)*(-5 - 6*u**2 + 5)*(0 + 0 - 3)*(-3*u + 0*u + 0*u). -756*u**5 Expand 124*y - 123*y + 223*y + (-2*y - 2*y + 3*y)*(2 - 1 - 2). 225*y Expand 37 - 12*y**2 - 37 + 15*y + (-4 - 2*y + 4)*(y + 3*y - 3*y). -14*y**2 + 15*y Expand -3 + 2*b**3 + 3 + (5*b**2 + b - b)*(1 + 2*b - 1) + (585 + b**3 + 5*b - 585)*(6 - 2 + 0). 16*b**3 + 20*b Expand (2*c - 2*c + 2*c**2)*(-4*c**2 + 8*c**2 + 16*c - 2*c**2). 4*c**4 + 32*c**3 Expand h**4 - 3*h**4 + 4*h**4 + (-h - 4 + 4)*(h - h - h**3) + 0 + 0 - 2*h**4 + 2*h**3 + 2*h**4 - 2*h**3 + (h**3 - h + h)*(-97 - 1348*h + 97). -1345*h**4 Expand (5*a - 4*a - 3*a + (-2*a - a + 2*a)*(3 + 1 - 2) - a + 0*a + 2*a)*(-12*a + 7 - 6 - 3). 36*a**2 + 6*a Expand (l**3 + 0*l**3 - 5*l**3)*(3 - 2 - 2)*(-5*l**2 + 8*l**2 - l**2). 8*l**5 Expand (-5*z - 3*z + 11*z)*(-52*z + 51*z + 1 - 11 + (2 - 5 + 0)*(-3*z + z + 4*z)). -21*z**2 - 30*z Expand (-4*s + 2*s + 8*s)*(-2 + 4 - 5) - s - 1 + 1 + 4*s - 4*s - s + (1 - 4 + 1)*(2 - s - 2) + s - s + 2*s. -16*s Expand (0*r + 4*r - r)*(-19*r - 20*r + 22*r) - 2*r**2 - 6*r**2 - 4*r**2. -63*r**2 Expand o**5 + 3*o**2 - 3*o**2 + (-3 + 0 + 8)*(-4*o + o + o)*(12*o**4 + 102*o**3 - 102*o**3). -119*o**5 Expand -3*q + 0*q + 4*q + (-2*q + 2*q + 2*q + (-3 + 3 + 1)*(5*q + q - q))*(-8 + 4 + 16). 85*q Expand (0*q**4 + 3*q**4 + 0*q**4)*(4 - q - 3*q - 3) + (3 - 2*q - 3)*(3*q**4 - q + q). -18*q**5 + 3*q**4 Expand (-5*k - 3*k + k)*(-5 - 1 + 3)*(5*k + 12*k + k**2 + k**2). 42*k**3 + 357*k**2 Expand -2*n**2 - 2 + 2 + (-1 + 1 - 2*n)*(3*n + n - 6*n) - 5*n**2 - 22*n**2 - 320 + 2*n + 318. -25*n**2 + 2*n - 2 Expand -4*y + 2*y**2 + 4*y + (y + y - y)*(0*y + 6*y - 4*y) + y**2 + 0*y**2 - 7*y**2 - y + 3*y - y**2 + 0*y. -3*y**2 + 2*y Expand 4*f**3 - 3*f**3 + 5*f**3 - 2*f**3 + 0*f**2 + 0*f**2 + (-7*f + 3*f + 2*f)*(-5*f**2 + 4*f**2 - f**2) + 40*f**2 + 5*f + 3*f**3 - 40*f**2. 11*f**3 + 5*f Expand (-2 + 2 + 2*f)*(-5*f + 2*f + 4*f + (6*f - f - 3*f)*(0 - 1 - 1)) + 9*f**2 - 29*f**2 - 8*f**2. -34*f**2 Expand (0*r + 2*r + 0*r)*(-r + r + r**3) + (1 - r**2 - 1)*(-27*r**2 - 312 + 312). 29*r**4 Expand (-2 - 2*w + 2)*(0*w + 0*w + 2*w**2)*(-263*w - 74*w + 39*w). 1192*w**4 Expand (0 - 1 + 3)*(124 + 3*i - 271 + 133). 6*i - 28 Expand (7 - 4 + 5)*(-3*y + 3*y + y)*(0*y**4 + 2*y**4 + 0*y**4 + (-10 + 10 - 5*y)*(-y**3 - 3*y**3 + 6*y**3)). -64*y**5 Expand (2*z**4 - 4*z**2 + 4*z**2)*(z + z - 6*z) + (0 + 2*z**5 + 0)*(17 - 3 - 1)*(2 - 4 - 7). -242*z**5 Expand 2*s**2 - 2*s**2 - 4*s**2 + ((-2 - 2 + 3)*(-6 + 2 + 2) + 4 - 4 - 5)*(-3*s**2 + 3*s**2 + 2*s**2). -10*s**2 Expand (1 - 1 + f - 5*f + f + 2*f + (2 - 5 + 1)*(2*f + 4*f - 5*f) + 0*f + 0*f - f + 2*f + f - 4*f)*(15 - 14 - 17). 80*f Expand (-x + x + x)*(54*x - 54*x + 27*x**2) + (3 + 4 - 6)*(-x**3 - 4*x + 4*x). 26*x**3 Expand (-3*u - 2*u + 4*u)*(-170 + 7 - 104). 267*u Expand 22*v**2 - 41*v + 41*v + (4 - 1 - 1)*(1 - 3 + 1)*(-2*v + 5*v + 0*v)*(-2*v + 0 + 0). 34*v**2 Expand (7*x - x - 2*x)*(-x + 2*x + x)*(0 + 2 + 0)*(1 - 1 + x**2) - 11*x**4 + 10*x**4 - 4*x**4. 11*x**4 Expand (-3*k - 4*k + 5*k)*(-658 + 45 - 421) + k - 4*k + 5*k. 2070*k Expand (2*p**3 - 1 + 1 + (-p**2 + 2*p**2 + p**2)*(0*p - 2*p + 0*p) + 5*p + p**3 - 5*p)*(7 + 3*p - 7). -3*p**4 Expand (0*k**2 + 0*k**2 - k**2)*(-6 + 3*k - 3 + 3). -3*k**3 + 6*k**2 Expand (-4*u + 37*u + 51*u)*(4*u - 3*u + 2*u). 252*u**2 Expand (132 - 38 + 27 + 13)*(-2*l - 3*l + 6*l). 134*l Expand (-2*i + 6*i - 3*i)*(-3 - 55 - 76). -134*i Expand (3*a**2 - 3*a**2 - 7*a**2)*(74*a**2 - 16*a**2 + 76*a**2). -938*a**4 Expand (11 - 11 + 6*z)*((z - 2*z - z)*(-3*z + 2*z + 0*z) + 2*z**2 + 3*z**2 - 4*z**2) - 34 - 5*z**3 + 34. 13*z**3 Expand 21 - 17*w**5 - 16*w**5 - 19 + (0*w**2 + 2*w**2 - 5*w**2)*(-3*w**3 - 4*w**3 - w**3). -9*w**5 + 2 Expand (2 - 14 - 7)*(-1 - 4 + 3)*(c**2 + 2*c - 2*c)*(3 + 1 - 5)*(-4*c + 0*c + 2*c). 76*c**3 Expand (4*d - 3*d + d)*(-2*d + 2*d - 2*d**4) + 0*d**5 - d**5 + 0*d**5 + 0*d**4 - 2*d**5 + 0*d**4 + (1 + 0 - 3)*(3*d**5 - 3*d**5 + 2*d**5) + d**5 + 4 - 4. -10*d**5 Expand (0*d + 2*d - 4*d)*(369 + 264 - 106 - 83). -888*d Expand (3*h - 5*h + 0*h - 6*h - 3*h + 4*h - h + 4*h - 2*h + (2 + 1 - 4)*(-h - 3*h + 2*h) - h + 6*h - 4*h)*(4 - 6 + 1)*(3*h - 68*h + 5*h). -180*h**2 Expand (-4 + 4 + 2*s)*(11*s**2 + 2*s**2 - 5*s**2) + (3*s - s - s)*(-12*s - 8*s - 7*s)*(-2*s + 1 - 1). 70*s**3 Expand (-4*s - 3*s + 6*s)*(-s - 4*s + 4*s)*(-1817*s + 1817*s + 370*s**2). 370*s**4 Expand 0*t**3 + 5*t**3 - 3*t**3 + (-2*t**3 + 2*t**3 - 2*t**3)*(3 - 1 - 1) + 0*t - 2*t**3 + 0*t + (-2*t**2 + 2*t - 2*t)*(210 - 210 - 46*t). 90*t**3 Expand -2*c**2 - c**2 + 2*c**2 + (0*c - 4*c + 0*c)*(-7 - 2*c + 7) + 3*c**2 - 4*c**2 + 2*c**2 + (-2*c - c + c)*(1 - 1 - 2*c). 12*c**2 Expand (-1 - 1 + 1)*(-67*t - 6270*t**2 + 35*t - 9*t + 41*t). 6270*t**2 Expand (-75*z**3 - z**3 - 19*z**3)*(-3*z**2 - z**2 + 3*z**2). 95*z**5 Expand (3*y + 5793 - 6329 - 5*y)*(0 + 0 - y**3)*(0*y - 4*y + 2*y). -4*y**5 - 1072*y**4 Expand o**3 - 3*o**3 + 0*o**3 + (0*o**2 - 3*o**2 + o**2)*(4*o - 3*o + o) + (2 - 2 - o**3)*(13 - 25 + 0). 6*o**3 Expand (-2*a**3 + 0*a**3 + a**3)*(-4*a + 5 - 5)*(-147 + 147 + 46*a). 184*a**5 Expand (-2*w - 3*w + 4*w)*(0*w**2 - 17*w**2 - 21*w**2) + 3*w**2 - 3*w**2 - 2*w**3. 36*w**3 Expand (-86 - 5 - 59)*(-4*y**4 + 2*y**4 + 3*y**4). -150*y**4 Expand 0*r**3 - r - 2*r**5 + 0*r**3 + (2*r**5 - r**5 + 0*r**5)*(5 - 1 - 34). -32*r**5 - r Expand (-2 + 0 - 1 + (-1 + 1 + 1)*(-1 - 1 + 0))*(2*r - 4*r + 3*r) - 3*r + 2*r + 0*r + (2 + 3*r - 2)*(4 - 3 + 0). -3*r Expand (-3*s - 7 + 7)*(-2 + 2 + 1 + (-3 + 3 - 2)*(-1 + 0 - 2) + 6 + 3 - 5). -33*s Expand (2*f**4 - 192*f - 4*f**3 + 389*f - 190*f)*(0 - 2 - 1). -6*f**4 + 12*f**3 - 21*f Expand (3*s**2 + 4*s**2 - 5*s**2)*(-67 - 383*s + 47*s + 68). -672*s**3 + 2*s**2 Expand (332*t + 49147 - 49147)*(0*t**2 + t**2 - 3*t**2). -664*t**3 Expand -3 + 1 - 3*w + 5*w + (-4 - w + 4)*(-6 + 6 - 105). 107*w - 2 Expand 3*l**3 - 22 + 34 + 2*l**4 - 26 + (-l - l + 3*l)*(-2*l**3 - 3*l**3 + 6*l**3). 3*l**4 + 3*l**3 - 14 Expand (5 - 5 + i**2)*(64 - 64 + 53*i**3) - i**5 + 2*i**3 - 2*i**3. 52*i**5 Expand (-5*o**3 - o**3 - 7*o**3)*(-3 - 1 - 6)*(1 + 2*o**2 - 1). 260*o**5 Expand (3*f + 3*f - 4*f)*(-137*f + 42 + 67*f + 5*f**2 + 72*f). 10*f**3 + 4*f**2 + 84*f Expand (-25*g - g + 2*g)*(-7 + 27 - 1). -456*g Expand (0 + 0 + p)*(1 - p - 1) + (-629 + 1249 - 626 + 14*p)*(-2*p + 4*p - p). 13*p**2 - 6*p Expand (2*c - 1 + 1)*(17 - 31 + 15 - c + 6*c**2). 12*c**3 - 2*c**2 + 2*c Expand (-v + 0*v + 2*v + 0 + 0 - 2*v + (2 - 5 + 4)*(0 + 0 - v) - 5*v + 4*v + 2*v + 0*v - v + 4*v)*(v**2 - 2*v + 2*v). 2*v**3 Expand (1 + 3 - 6)*(-16*l - 9*l - 6*l). 62*l Expand (-1432*x + 1625*x + 0 + 0)*(0*x + 3*x - 2*x). 193*x**2 Expand (-3 + 0 + 1)*(c + c - c)*(0*c - c + 3*c + (-3 + 2 - 1)*(-3*c + c + c) + 4 - 4 + c)*(3*c + 7*c - 4*c). -60*c**3 Expand (-2*x - 2*x**2 + 2*x)*(-32*x**3 - 31*x**3 + 5*x**3) + x**5 + 2*x - 2*x + 3*x**5 - 2*x + 2*x + (-3 + 3 + x**4)*(-1 + 1 + 2*x). 122*x**5 Expand (-y + 2*y - 24 + 190)*(y + 3*y - 3*y). y**2 + 166*y Expand (141*t + 79*t + 49*t)*(-6*t + 2*t + 2*t). -538*t**2 Expand (451 - 229 - 232)*(5*f**5 - 4*f**5 + f**5). -20*f**5 Expand 2*k**4 - 5*k**4 - 11*k**4 + (-3*k**2 - 5*k**2 + 4*k**2)*(-2*k**2 + 5*k**2 - 2*k**2). -18*k**4 Expand (47 - 47 - 16*n)*(-1 + 1 - 2*n + 2*n + 2 - 2 + (3 - 3 + 2*n)*(2 - 1 - 3) - 5*n + 0*n + 3*n). 96*n**2 Expand -18*v + 19 - 18 + 51*v + (-16 - 6 + 11)*(-v + 3*v - v). 22*v + 1 Expand -2*i + i + 2*i + 1 - 1 - i + (-6 - 17 + 3)*(0*i + 4*i - 2*i). -40*i Expand (-2 - b + 2)*(2 - 4 + 4) + 19 - 27*b - 19 + (-b - 4*b + 3*b)*(4 + 3 + 0) - 2*b - 2*b + 6*b. -41*b Expand (946*v**4 + 0*v**2 + 1245*v**4 + 0*v**2 - 5080*v**4)*(v - v + 2*v). -5778*v**5 Expand 5*d**5 + 0*d**5 + d**5 + (-2
{ "pile_set_name": "DM Mathematics" }
y. Solve 0 = -c*n + 3*n + 8 for n. 4 Let i be 2/((8/(-30))/(2/(-3))). Suppose 0 = 5*n + 4*x - 15, i*x = 6*x. Solve -2*o + 3*o + n = 0 for o. -3 Let d = -558 - -589. Suppose 35*t - 68 = d*t. Solve 2*x - t = -25 for x. -4 Let n be -9 + 0 + 3 + 7. Suppose -3*t - t = 3*y - 11, 0 = -y + n. Solve -v + t*v = -3 for v. -3 Suppose 4 = -18*z + 19*z. Suppose 5*f + 4*q = 36, 4*f - z*q = -0*q. Solve 0 = f*j - 39 + 23 for j. 4 Let q be 87840/2016 + 3/7. Solve -20*g = -9*g + q for g. -4 Let j = -36 - -38. Suppose 0*v = 2*v + j. Let u be -4 + (7 - -4) + (-1)/v. Solve 9 = s + u for s. 1 Suppose -2*z - 5*j = -812, 5*j + 2977 = 7*z - 0*z. Solve 0 = z*r - 390*r + 62 for r. -2 Let g = 0 + 2. Suppose 3*n = f + 1, 3*n - g*f + 19 = 3*f. Suppose -5*r + 29 = 2*c, 52*c - 57*c + 25 = 3*r. Solve 0*x + c = -n*x for x. -1 Let o be (-57 + 66)/((-1085)/(-535) - (4 - 2)). Solve -o*n = -325*n for n. 0 Let a = -19 - -30. Suppose -5*f + 56 = -4*x, 3*x + 44 = 98*f - 94*f. Solve a*q = f*q + 6 for q. 2 Let w(j) = 4*j**2 - 1. Let b be w(1). Let z(c) = -24*c - 1092. Let q be z(-46). Solve 0 = 6*a - b*a - q for a. 4 Suppose 7*w + 7832 - 8112 = 0. Solve w = -48*y + 56*y for y. 5 Let z(p) = -252*p - 2905. Let a be z(-12). Solve 125*l - 24 = a*l for l. 4 Let p(j) = -20*j - 63. Let i(q) = 40*q + 127. Let t(a) = -2*i(a) - 5*p(a). Let s be t(-3). Solve 3 = h - s for h. 4 Let y = -1257 - -1275. Solve -y*f + 86 = -22 for f. 6 Suppose 0 = 11*v - 4*t - 954, 0 = v - 30*t + 26*t - 94. Solve 80*r - v*r = 36 for r. -6 Suppose -29*u = -74*u + 675. Suppose -2*k = -4*k + 38. Solve -k*d = -u*d + 4 for d. -1 Suppose -2*g + 10*g + 512 = 0. Let y = 70 + g. Suppose 0 = -5*u + 4 + y. Solve -u*r = 2*r for r. 0 Let l(y) = -y**3 + 6*y**2 - 4*y - 5. Let j be l(5). Let k(g) = 94*g + 1704. Let f be k(-18). Let q(c) = c + 3. Let n be q(-3). Solve j = 4*r - n + f for r. -3 Suppose -49*q - 5*t = -47*q - 216, q - 5*t = 63. Solve 98*z = q*z for z. 0 Let m = 13162 + -13158. Let k = -5 + 11. Suppose k*j - 18 = 4*j. Solve 0 = -m*g + j + 7 for g. 4 Suppose 5*i - 388 = 3*h, -2*h + 148 = 2*i - 5*h. Solve -45*o - i = -35*o for o. -8 Let x(k) = -88*k + 637. Let b be x(-7). Solve -b*l - 32 = -1245*l for l. -4 Let o(k) = k**3 - 8*k**2 - 8*k - 4. Let f be o(9). Let b be 31/4 + 4/16. Solve b*p = f*p - 9 for p. -3 Let h = -1239 + 1243. Solve 0 = -h*d + 29 - 33 for d. -1 Let f(k) = 5*k**2 - 42*k. Let s be f(9). Solve 0 = s*h - 26*h - 2 for h. 2 Suppose 32*r - 294 = -2*r + 692. Solve r = 14*m - 41 for m. 5 Let s(j) = -2*j**3 + 122*j**2 - 6*j + 384. Let v be s(61). Solve -34*g - v = -86 for g. 2 Let l be ((-1498)/35 + 44)/(-3*3/(-45)). Let d = -7 - -10. Suppose -3 = -4*s - 3*p, s + 4*p - 4 = -4*s. Solve s = d*n + l - 18 for n. 4 Let v be 24/(-44) + (-21492)/(-198). Solve -v*q = -117*q + 63 for q. 7 Let m be 0/(3 + (164/(-123))/(2/3)). Solve m = 13*x + 47 - 8 for x. -3 Let a(z) = -15*z - 115. Let m be a(-9). Suppose m*j = -9*j. Solve 22*l - 17*l - 10 = j for l. 2 Let i = 1 - -3. Let y be 5 - i - 3 - -3. Suppose -4*h = y - 13. Solve h*f = 8*f for f. 0 Let f = -678 + 684. Suppose -n = l + 3, -3*n + f = -2*l + 20. Solve -d = -l + 2 for d. -1 Let s(x) = -5*x - 245. Let p be s(-51). Solve 12 = -11*z - p for z. -2 Let v be 6/(-4) + (-525)/(-210). Let y = 10 + -11. Let b = 25 + y. Solve -5*k + v + b = 0 for k. 5 Let c be 2 - 0 - (0 + 0). Suppose 15*x - 250 - 5 = 0. Suppose -r = -5*j + x, 0*j + 3*r = -c*j + 17. Solve 2*g - 8 = j*g for g. -4 Let d(m) = 8*m + 6*m + 6 + 5*m - 25*m. Let a be d(-2). Solve -26 + a = -2*v for v. 4 Let b = 1658 - 1648. Solve -b*k = -23*k + 13 for k. 1 Suppose 19*c - 14*c = 2*h - 312, -780 = -5*h - 4*c. Suppose -147*w - 18 = -h*w. Solve -w*m + 21 = 15 for m. 3 Let t(q) = 3*q + 14. Let g be t(-4). Suppose 6*j - 127 = g*j + h, -3*h + 163 = 5*j. Let o = j - 28. Solve 0 = o*x - 0*x + 20 for x. -5 Let y = -142 - -145. Suppose -4*t = -y*t - 2. Let p be 0*-2*t/(-8). Solve p = -2*w + 4*w + 8 for w. -4 Let p = -79 + 95. Let h be (48/p)/(0 - -1). Solve h*i = -i for i. 0 Let t(c) = c**2 + 5*c + 6. Let x(l) = -4*l**2 - 19*l - 24. Let q(f) = -9*t(f) - 2*x(f). Let w = 1010 - 1012. Let b be q(w). Solve u - 3 = b*u for u. -1 Let x(u) = 1287*u + 27029. Let v be x(-21). Let z = 31 - 19. Solve v*r - z = -2*r for r. 3 Let v(y) = y**3 - 6*y**2 - 9*y - 6. Let c be v(7). Let o be c/(-14) - (-9)/(-21). Solve 4*u - o = -9 for u. -2 Suppose 56 = 3*j - 2*y, -5 = -4*y + 3. Solve -27*r = -17*r - j for r. 2 Let n be -56*1*-1*66/231. Solve -35*j = -n*j + 152 for j. -8 Suppose 0 = -5*l - 5*w - 2425, -3*l + 6*l + 1447 = -5*w. Let y = l - -533. Solve 0 = -18*a + 7*a - y for a. -4 Let f = 167 + -179. Let n(o) = o**2 + 8*o - 43. Let i be n(f). Solve -i = -4*p - p for p. 1 Suppose -6*g + 7 + 23 = 0. Suppose -g*f + 84 = 7*f. Solve 5*q - f*q = 0 for q. 0 Let h(a) = 8*a + 92. Let l be h(-10). Let r be (-39)/(-2) + l/24. Solve -5 = 5*i + r for i. -5 Let w be (33 - 30)*(-496)/6. Let b = -243 - w. Solve b*t - 13 + 3 = 0 for t. 2 Let z(n) = -2*n - 37. Let x(m) = -m - 18. Let f(w) = 7*x(w) - 4*z(w). Let c be (-16)/24 + 58*(-3)/9. Let h be f(c). Solve o = -h*o - 9 for o. -3 Let h(l) = -5*l**3 + l**2 + l + 1. Let f be h(-1). Suppose 11*w - 204 = -f*w. Solve w = -5*k - 3 for k. -3 Let s be (-5)/10 - 135/(-6). Let x = 53 - s. Suppose 6*t - 49 = -x. Solve 0 = y - t*y for y. 0 Suppose 13*x - 23*x + 740 = 0. Suppose 0 = -x*m + 70*m. Solve -10 = -m*c - 5*c for c. 2 Let z(x) be the third derivative of -x**4/24 + 5*x**3/2 - 9*x**2. Let k be z(12). Suppose 20 = 2*m + b, -2*m + 3*m - k*b - 10 = 0. Solve -3*p + m = -2 for p. 4 Let l = 5071 - 4965. Solve -29*u - 19 = -l for u. 3 Let m(y) = y**3 + 2*y**2 - 35*y + 7. Let p(u) = -7*u**2 + 11*u + 11. Let s be p(-1). Let c be m(s). Solve -c = 3*h - 4 for h. -1 Let y = 521 + -519. Suppose -2*b - y = -0*t - t, -4*t + 16 = 0. Solve -p + 2 = -b for p. 3 Let q be 1 - (-19 - (7 - 2)). Let a(k) = -k**3 + 26*k**2 - 25*k + 5. Let u be a(q). Solve -11 = -u*t - 21 for t. -2 Let u be (-2)/(-12) - 6/36 - -16. Suppose -u = 5*p - p. Let y(s) = 2*s**2 + 3*s - 11. Let x be y(p). Solve 0*k - x = 3*k for k. -3 Suppose -2338*k + 2489*k = 8003. Solve 23 = -k*d - 30 for d. -1 Let r(j) = 2*j**2 + 12*j - 5. Let h be (8/(-6))/((-20)/(-90)). Let f be r(h). Let q be (-2)/f*(-25)/20*-4. Solve q*o + 3 = o for o. -3 Let t(x) = 3*x**3 - x**2 + 5*x - 52. Let m be t(4). Solve 12*a = 30*a + m for a. -8 Let g = -70 - -110. Suppose -35*h = -27*h - g. Let p(j) = -4*j + 4. Let x be p(-4). Solve h*v - x = v for v. 5 Let n = -461 + 482. Suppose u + 5*w - 195 = -4*u, 0 = 3*u + 4*w - 120. Solve -5*s + n = u for s. -3 Suppose 3*h = 4*o + 34, 4*h + 6*o - 38 = 4*o. Suppose 0 = -9*b + 46*b - 74. Solve h*r = b - 2 for r. 0 Suppose -4*y = -3*s + 3, -4*y + 0*s + 2*s = 2. Let p(t) = t**2 + 7*t + 4. Let m be p(y). Solve -m*q + 6 = 2*q for q. 1 Let q(z) be the third derivative of -z**5/60 - z**4/24 + 5*z**3/3 - 10*z**2. Let h be q(4). Let g(c) = 3*c + 33. Let m be g(h). Solve m*f - 1 = 11 for f. 4 Let b = -263 - 405. Let d = 675 + b. Solve 2*z + 9 = -d*z for z. -1 Let a be ((-24)/14)/((-8)/(-84)). Let y(v) = -5*v - 19*v**2 - 3*v - 4*v + 6 - v**3 - 6*v. Let u be y(a). Solve u*f - f = 5 for f. 1 Let h(g) = -g**3 - 5*g**2 + 5. Let x be h(-5). Let b be (706/(-5))/(8/(-20)). Let n = 359 - b. Solve x*v - n*v + 1 = 0 for v. 1 Suppose w + 0*w - 2 = 0, 2*r - 86 = w. Suppose 10 = r*v - 39*v. Let x be 3 + (-3)/9 + v/(-3). Solve k = -x*k + 3 for k. 1 Let m(a) = -12*a + 31. Let p be m(2). Suppose -p*o + 20 = 4*v - 5*o, v - 4*o = -4. Solve 12 = v*z + 20 for z. -2 Let a(z) = 3*z - 3. Let k be a(3). Let l = -772 - -775. Suppose -r + k = l. Solve f = r*f + 8 for f. -4 Let x(y) = -y + 20. Let n(l) = -10. Let b(f) = -10*n(f) - 6*x(f). Let a be b(13). Let q = a - 53. Solve -4 = r - q*r for r. 1 Let z(o) = -101*o + 216. Let q be z(2). Solve -q*p - 48 - 8 = 0 for p. -4 Suppose o + 4*o - 355 = 0. Let k = 2716 + -2644. Let m = k - o. Solve m = 3*c - 2 for c. 1 Suppose 0 = -y - 5*c + 48, -12*c + 114 = y - 18*c. Solve 37*v - 41 = y*v for v. -1 Let z(s) = -3*s**2 - 39*s + 64. Let m be z(0). Solve -120 = -m*i + 72 for i. 3 Suppose 3*r - 2*r + 84 = x, -x = -5*r - 436. Let c = -80 - r. Solve 1 + 7 = -c*g for g. -1 Suppose 0 = 4*p + b - 2, -4 = 2*p + b + 2*b. Let j be p/((-7)/(-6 + -43)). Solve -23 = j*h - 9
{ "pile_set_name": "DM Mathematics" }
)/(-143) - (-1 + 1 + 1) -2/13 8/2 + -31*(-4)/(-28) -3/7 Calculate (-55)/11 + -11 - -9. -7 What is the value of ((-252)/(-80) - 3)*4? 3/5 Evaluate (2/(-4) - (-20)/12) + -1. 1/6 1/(((-5)/(-20))/(6/8)) 3 What is 15 + 33/((-297)/234)? -11 2/22 + 5330/902 6 Calculate (-16)/42*(-6)/8. 2/7 What is the value of (-2)/1*(-70)/(-112)? -5/4 What is the value of -7*2/(-7) - (-32)/(-14)? -2/7 What is the value of (-1 + 5)*(-6 - -5)? -4 Evaluate 74/51 + -2 + 4/6. 2/17 (-9)/3 + 145/45 2/9 Calculate (-20)/24 - (-35)/6. 5 What is the value of 12/(8/(-4)) + 11? 5 What is 2*4/(40/25)? 5 Calculate 11/((-99)/108)*(-2)/8. 3 (-1)/2*(-864)/(-1944) -2/9 What is the value of (-1)/((2 - 6)/(-4))*-1? 1 What is the value of (1 - (-51)/(-45))/((-16)/(-20))? -1/6 (4/10)/(16/(-40)) -1 -1 - (5 + 0) - -4 -2 Evaluate 5*6/60*0/7. 0 What is the value of ((-4)/6)/((-6)/(-27))? -3 -9 - ((-4)/(-4))/(9/(-45)) -4 Evaluate -2 - (-53 - -46)*2/5. 4/5 What is the value of (578 - 576)*(-1 - 7/(-2))? 5 What is the value of (-42)/(-63) + 2/15? 4/5 What is (-3)/(-2)*(-8)/12 - 4? -5 What is (-135)/(-21) + -23 + 17? 3/7 What is the value of (-30)/(-18) + 4/3? 3 4/2 + 17/((-459)/60) -2/9 What is the value of (-49)/147 + ((-4)/3)/(-1)? 1 Evaluate (-18)/20 - 36/(-90). -1/2 What is the value of 14*(-6)/(-8)*(-28)/(-42)? 7 What is ((-6)/42)/((-14)/(-56))? -4/7 What is the value of (3/(-2) - (-3 - 0))/(-9)? -1/6 What is 21/6*(-10)/(-105)? 1/3 Evaluate 26/312*((-6 - -3) + 6). 1/4 What is the value of (-112)/84 - (2 + 0 + -3)? -1/3 2*((-16)/56)/((-60)/(-21)) -1/5 What is the value of (-1)/(-4)*(2 - 2)? 0 Evaluate (-11)/(550/180) + 2. -8/5 What is (-2)/(-4)*6 - (-25)/(-10)? 1/2 Evaluate ((-24)/10)/(154/140 + 1). -8/7 What is the value of (-33)/6 + (-14 - -20)? 1/2 What is the value of 5/(-5)*15/(-3)? 5 Evaluate ((-19)/8 - 21/(-56))/2. -1 Evaluate -1*2*(54/(-9) + 5). 2 (2*(4 - 6))/(-12) 1/3 Calculate (1/(-4))/((-4)/(-64)*-2). 2 15 + 3 + -9 + -7 2 Calculate (5 + (7 - 11))/(2/(-2)). -1 Evaluate 100/(-84) + (-42)/(-49). -1/3 0*11/154 - 7 -7 Calculate 196/686 - (-15)/21. 1 (-38)/(-133) - (256/(-84) - -2) 4/3 Evaluate -2 - 2 - (-414)/99. 2/11 Calculate -4 + 1/4*18. 1/2 What is (-2)/(-16) - 1845/360? -5 What is (896/336)/(22/6 - -1)? 4/7 What is the value of (-575)/(-828) - ((-6)/(-8))/3? 4/9 Evaluate (-1 - -2)/(2 - -1 - 2). 1 What is ((-69)/46)/((-3)/8)? 4 (-13)/((-1456)/(-14))*(6 + 0) -3/4 Evaluate (-20)/(-25)*(5 - 0/(-4)). 4 Calculate 9*(6/45 + (-3)/15). -3/5 What is (1/2)/(4 + (-98)/24)? -6 What is (42/(-35))/((-3)/15)? 6 Calculate 3*(2/12)/((-2)/16). -4 Evaluate 17/(-102) + 58/(-12). -5 Calculate 5/(3/(-9)*-3). 5 Calculate 6/(4/(-10) - (-108)/45). 3 Evaluate 0 + (4/8 - (-3)/(-9)). 1/6 What is the value of ((-38)/(-14) - 4) + 1? -2/7 Calculate 0 - (-4)/20 - (-135)/(-1050). 1/14 What is (9 + (-108)/15)*(-5)/(-3)? 3 (5/60)/((-3)/9) -1/4 5*(2/(-10))/(2/(-10)) 5 What is the value of 1 + 19/(-5) - (-2)/(-10)? -3 What is (26/8 - 2)/(2/(-8))? -5 What is 7/(14/8) - (0 + 10)? -6 Evaluate (-24)/44 + (-48)/33. -2 What is the value of (((-14)/3)/(-7))/((-20)/(-15))? 1/2 (-480)/1620*(-6)/(-4) -4/9 Calculate 42/(-7) + 14 + (-3 - 1). 4 What is (-10)/(150/1)*-5? 1/3 3/(-1) + 2*-1 -5 What is the value of (10/4 - -1) + -2? 3/2 What is the value of 4/6*(-51)/(-136)? 1/4 What is the value of (-12)/42 - 4/(-14)? 0 -3 - (4 - 0 - 9) 2 284/(-497) + (-4)/(-7) 0 21/35 + 148/(-80) -5/4 Evaluate (2/(-69))/(11 - 192/18). -2/23 What is the value of 0/(-2) - -1 - (-288)/(-224)? -2/7 Evaluate (-11)/(-220) - 1/4. -1/5 Calculate -3 - ((-8)/4 + 2). -3 (3/2)/(1/2) 3 Calculate 3 + (3/(-2))/(6/(-24)). 9 What is the value of -1*7 + 3 + (-1)/(-1)? -3 Evaluate (6/(7 - (3 - -8)))/(-12). 1/8 What is (1 - 4)/9 - 2/48? -3/8 What is 2 + -8 - (0 + (-24)/2)? 6 9/(-135)*-6*1 2/5 What is (-3)/(-7) - (-12)/21? 1 What is the value of -2*(240/110 - 2/11)? -4 What is (-5)/10*3*(-1)/4? 3/8 ((-24)/(-40))/(1/(2/3)) 2/5 Evaluate ((-20)/72)/(8/12)*4. -5/3 -2 + -3 + 1 + 1/1 -3 Calculate (-6)/10 - (-8)/10. 1/5 -7 - 6*2/(-3) -3 Calculate 16/(-6)*9/(-6). 4 Evaluate 8/3 - (-7 + 13 - 2). -4/3 (-66)/15 + 0/4 + 4 -2/5 (-1 - 40/(-52))*(-16)/(-24) -2/13 What is -5*4/(-40) - (-36)/(-8)? -4 Evaluate 50/(-132) + (114/209)/1. 1/6 What is the value of (-22)/(-10) + 56/70? 3 What is the value of ((-6)/12*0/(-4))/1? 0 What is 3/((-6)/(-16)) + -3? 5 (2/3)/(10/(-15)) + 5 4 What is the value of -4*1*(-9)/90? 2/5 What is the value of (15/(-25))/((-6)/(-8))? -4/5 (-1)/(10/(-25))*3/(-10) -3/4 0 + 0 - (-6 + -3 + 15) -6 What is -1 + (3575/(-156))/(-25)? -1/12 Evaluate 4/(-14) + (-24)/14. -2 (-10 - 1/(-1)) + 5 -4 Evaluate ((-8)/(-12) - 0)*3/(-19). -2/19 What is (-6)/(-9)*9/(-6)? -1 Calculate ((-2)/(-138))/(80/480). 2/23 What is (-2152)/(-264) - 8 - (-6)/33? 1/3 Calculate (-1)/5 - (-10)/(-25). -3/5 What is the value of 3*121/1320 - (-2)/(-5)? -1/8 What is (-5 - 82/(-16)) + 315/40? 8 Calculate 0*((-5)/(-4) + (-48)/64). 0 Calculate (-903)/147 - 1/(-7). -6 Evaluate (-9)/3 + 4 + 7/(-4). -3/4 What is the value of 6 + (-52)/(13 - 0)? 2 Evaluate ((-5)/15*-9)/4. 3/4 Calculate ((-1)/4)/(4/(-48)). 3 Evaluate (-11)/4 + 2 - 245/(-252). 2/9 Calculate (60/8)/(85/68). 6 Evaluate (-5)/1 - -6 - (1 + 6). -6 What is ((-4)/10)/((-14)/175)? 5 2/18 - (-80)/252 3/7 ((-105)/(-420))/((-7)/(-16)) 4/7 Calculate (-1 + (-2 - -4))*2. 2 Evaluate (-6*(-6)/8)/(5/(-10)). -9 Evaluate ((-6)/21)/((-10)/7 - -1). 2/3 48/(17 + -9)*2/(-3) -4 Calculate (-4)/(-9) + 6/((-432)/140). -3/2 Calculate 1 - (0 + (-2 - 0)). 3 (-29)/(-87) + 3/45 2/5 What is 8/2 - 16/(-96)*30? 9 (-39)/12 + 6 - (1 + 2) -1/4 2*((-40)/15 + 3/18) -5 Calculate 7 + 21/(14/(-2))*1. 4 What is (2 - -1)/(567/18 + -3)? 2/19 Calculate 8/44 + 711/(-99) + 0. -7 (-106)/(-742) + 66/(-266) -2/19 (-42)/(-154)*(-5)/((-15)/(-2)) -2/11 -6*(-4)/(-60)*(-10)/6 2/3 (-7)/6 - (-117)/78 1/3 2*(21/6 - 1) 5 Evaluate (11 - 1) + -11 + 6. 5 Evaluate -1 - 3 - (9 + (-3530)/270). 2/27 Evaluate (2 - (-26)/(-8))/(13/52). -5 Evaluate (20/(-15))/(1 - (-10)/(-15)). -4 Calculate (904/280 - 3)/(2/(-5)). -4/7 Calculate (24/(-9) - -3)/((-2)/6). -1 What is ((-8)/(-36))/(4 + (-11)/3)? 2/3 What is the value of (-1411)/(-1162) + (-4)/(-14)? 3/2 Calculate (845/90)/13 + (-2)/4. 2/9 1/(3*(-6)/4) -2/9 What is the value of 4/4*(-2 - 3 - 0)? -5 What is (8/(-12))/((-15)/(-9))? -2/5 What is -5*6/(-240)*-6? -3/4 What is (-2 - 1)*22/33 + -1? -3 Evaluate -2 + 9 - (-261)/(-36). -1/4 Calculate (-3 - 6 - -4) + 6. 1 Calculate 6 - (3 + 10/4). 1/2 Evaluate (-5)/(-54)*(3 - 44/20). 2/27 (-890)/(-130) - (15 + -8) -2/13 What is the value of ((-308)/147)/11*(0 + 3)? -4/7 What is (25/(-10)*-1)/((-9)/6)? -5/3 What is the value of (188 + -185)*4/162*3? 2/9 Evaluate 20 + -6 - 8 - 7. -1 Calculate (15/(-5))/((-36)/(-84)). -7 What is (2*(-2)/10)/((-7)/(-5))? -2/7 What is the value of ((-4)/3)/((-3)/9)? 4 (4 - -1)*(-3)/(30/(-4)) 2 What is the value of (-1245)/(-273) - (-8)/52 - 5? -2/7 Calculate 13/(13/8) - 9. -1 What is 138/30 + -4 - (-66)/15? 5 Evaluate -6 + (-105)/(-21) - (-7)/3. 4/3 (-559)/129 + 1 + 2/(-3) -4 Calculate -2*(3 - 24/16). -3 What is (-115)/(-30) - 5/6 - 3? 0 Calculate 624/273*(-21)/6. -8 Calculate 3/(-6)*-10*1. 5 What is (-20)/(-6) + (-3)/1? 1/3 1/(((-1)/1)/(20/4)) -5 What is -3 + (5 - 1/(-2)*2)? 3 What is the value of (-2 + 1)*(15 - (-16 + 29))? -2 What is the value of ((-8)/4 - -2) + 3/1? 3 Evaluate 4/6*309/(-1339). -2/13 Calculate 3/(-15) + (-266)/95. -3 Evaluate (6 + -7)/(3/3). -1 Calculate ((-2)/5)/(5/(-250)*4). 5 What is the value of 10 + (-9 - -5) - 2? 4 Calculate (4/(-6))/((10/15)/1). -1 What is 4482/(-189) - -26 - (-4)/(-14)? 2 Evaluate (80 - 93) + (1 - -3). -9 Evaluate (11 - 7)/((-14)/21*6). -1 What is ((-2)/(-50))/(14/35)? 1/10 Calculate 60/40*8/(-3). -4 What is ((-77)/28 + 1)*(-7 - -8)? -7/4 What is (-146)/(-210) + (-210)/350? 2/21 ((-91)/84 - (-2)/(-12))*-4 5 2*(-8)/(-160)*-2 -1/5 Calculate 18/(-21)*(-42)/90. 2/5 Calculate (4/(-8)*6)/(9/(-6)). 2 Evaluate 2 - 14/6*3. -5 What is (152 - 150)*2/(-12)? -1/3 Evaluate (-11 + (-533)/(-39))*3/(-2). -4 What is (-44)/(-10) + 4/(-10)? 4 What is 12/70*(595/(-14))/17? -3/7 Calculate (2*1/(-6)*0)/(-2). 0 (-2 - (-35)/28)/((-2)/16) 6 What is (-208)/(-56) - 2/(-7)? 4 Calculate (180/24 - 9)*-2. 3 What is 3 + ((-3)/(-5) - 4)? -2/5 Evaluate (-12 - -10)*(-2)/(-8)*-2. 1 (-5)/(
{ "pile_set_name": "DM Mathematics" }
a(y) = -419*y + 6 + 214*y - 1 + 30*y**2 - 29*y**2 + 214*y. Determine a(-14). 75 Let i(v) = -v**3 + 8*v**2 + 6*v + 4. Let d(c) = 4*c**2 + 11*c - 11. Let w(h) = -2*h - 46. Let j be w(-21). Let b be d(j). Determine i(b). -23 Let c be (10/(-4))/((-40)/32). Suppose -17 = -g - 3*x, -g - 5*x + 7 = -c*g. Let w(j) = 5*j + 5 - g*j + j. Give w(4). -3 Let j be (-4)/14 - (132/28 + -5). Let k(i) = -i**2 + 9*i - 3. Calculate k(j). -3 Let o(d) = -6*d**3 + 3*d**2 - 5*d + 2. Let v = 1267 + -1266. Determine o(v). -6 Let f be 269346/20670 + (-4)/130. Let x(i) = i**3 - 16*i**2 + 40*i - 17. Determine x(f). -4 Suppose -14 = -2*m - 3*g, m + 2*g - 12 = 3*g. Let l = m + -7. Let n(s) = -s**2 + l*s + 0*s + 0*s - 1. What is n(4)? -5 Let p(n) = -1777*n + 8880. Let d be p(5). Let z(m) = 2*m**2 + 16*m + 45. Determine z(d). 15 Let b(u) = -13*u**2 - u. Let g(q) = q**3 + 108*q**2 + 128*q - 12. Let j(c) = -10*b(c) - g(c). Calculate j(13). -1 Let b be -2*(-1 + 2)/(2/(-3)). Let x(m) = 1030*m**2 + 4 - 1029*m**2 + 8*m - b. Calculate x(-8). 1 Let w(v) = v**3 - 6*v**2 - v + 6. Suppose -101 + 361 = 5*u. Let s be -8 + 7 + u/2. Let z be 116/20 - (-5)/s. Give w(z). 0 Let i(v) = -43*v**3 - 3 + 12*v**3 + 16*v**3 + 7*v**2 + 0 + 14*v**3. Let j(r) = r + 17. Let b be j(-12). Suppose 3*c = b*c - 14. Calculate i(c). -3 Let g(y) = -y**3 - 9*y**2 + 8*y - 20. Let b be g(-10). Let h(p) be the third derivative of 0 - 3/2*p**3 + 0*p + 34*p**2 - 1/60*p**5 + 0*p**4. What is h(b)? -9 Suppose -300*o = 1729 + 2471. Let w(u) = u**3 + 13*u**2 - 16*u - 26. Give w(o). 2 Let l = 5543 - 5539. Let d(u) = -u**3 + 2*u**2 + 4. Determine d(l). -28 Let y(l) = -2*l**2 - 39*l - 199. Let z be y(-9). Let j(a) = -3*a - 17. What is j(z)? 13 Let t be (-4)/(-10) + (-34)/10. Let z be ((-288)/648)/((-4)/54). Let x(v) = -8*v + 2*v - 2*v**2 + 4 + 3*v + 10*v - z*v. Determine x(t). -17 Let h(p) = 4 + p**2 + 32 + 53*p - 69*p - 10 + 9. Give h(6). -25 Let j(v) be the second derivative of -v**8/6720 - v**7/315 - v**6/720 + v**5/40 - 2*v**4 + 8*v + 7. Let i(z) be the third derivative of j(z). Give i(-8). 11 Let a(s) = -43*s - 30*s**3 + 18*s + 64*s**3 + 15*s + 17 - 35*s**3 + 10*s**2. Determine a(10). -83 Let n(v) = -v**3 - 7*v**2 - 7*v - 10. Suppose -b + 13 = -3*p + p, -4*p - 2*b - 22 = 0. Let o be n(p). Let r(m) = -m**2 - 2*m - 2. What is r(o)? -10 Suppose 2*t + 2*z - z = 13, 4*z = 2*t + 12. Let w be (81/(-36))/((-2)/((-16)/(-3))). Let f(c) = -40 + 9 + 3*c + 10 + w + 10. Give f(t). 7 Let o = -392445 + 392435. Let b(n) = 4*n**3 + 7*n**2 + 24. Let h(z) = z**3 - z**2 - z + 1. Let t(m) = b(m) - 3*h(m). What is t(o)? -9 Let t(g) = -g**3 + 15*g**2 - 13*g - 10. Let l(x) = -2*x + 34. Let k = 76 + -106. Let i be (k/(-4))/((-48)/(-64)). Let c be l(i). What is t(c)? 4 Let k(u) be the first derivative of u**4/4 - 14*u**3/3 - 11*u**2/2 - 45*u + 937. Determine k(15). 15 Let t(z) = 2*z**2 + 5*z. Suppose -k = -3*b + 2, -2*k - 4*b = -3*b - 17. Let i(s) = s + 5. Let y be i(k). Suppose 4*x = 7*x + y. What is t(x)? 12 Let z(m) = -m**3 - 5*m**2 - 2*m + 7. Let q be 27/(-63)*(-3)/(-9) - 748/154. Give z(q). 17 Let n(v) be the first derivative of 4*v**3 - v - 1. Let r be ((-14)/(-4))/((-3)/6)*147/1029. Give n(r). 11 Let g(i) be the second derivative of i**4/12 - 9*i**2 + 203*i + 13. Determine g(-4). -2 Suppose 24*r - 23*r - 57 = 0. Suppose r*d - 12 = 58*d. Let p be (-10)/(-3)*3*(-6)/d. Let t(w) = -w**3 + 6*w**2 - 3*w + 2. What is t(p)? 12 Let m(o) = 3*o + 11. Let d(y) = y + 5. Let k(i) = -5*d(i) + 2*m(i). Let u = -826 - -839. What is k(u)? 10 Let j(c) = -c**3 - 12*c**2 - 13*c - 25. Suppose 33*u = -4*t + 28*u - 59, 0 = 3*t + 2*u + 39. What is j(t)? -3 Let r(f) = -2*f + 10. Suppose -33 + 5 = -7*q. Let s be r(q). Let j(y) = -16*y**s - 22*y**2 + 6 + 37*y**2 - 5*y. Determine j(-7). -8 Let j(z) = 6*z + z**3 - 1492*z**2 - 3 + 743*z**2 + 741*z**2. What is j(7)? -10 Let c(i) be the third derivative of i**4/24 + i**3 - 229*i**2 - 7*i. Give c(-2). 4 Let z(y) be the second derivative of y**5/20 - 7*y**4/12 + y**3 + y**2/2 - 1721*y. Give z(6). 1 Let p(a) = -8*a**2 + 8*a + 18. Let o(j) be the first derivative of j**3/3 - j + 183. Let g(n) = -10*o(n) - p(n). Calculate g(-6). -32 Let y(a) = -34 - 5 - 2*a + 7 + 4*a. Let x(o) = -o + 16. Let f(j) = -11*x(j) - 6*y(j). What is f(12)? 4 Let g(h) = h**2 + 2*h - 8. Let v(l) be the first derivative of -l**4/4 + 3*l**3 - 9*l**2 + 21*l - 134. Let p be v(7). Calculate g(p). 27 Let j(f) be the second derivative of 1/6*f**3 + 0 - 10*f - 1/2*f**2. Let p = -108 + 103. Determine j(p). -6 Let y(a) = 14*a**3 - 4*a**2 + 13*a + 9. Let c(t) = 25*t**3 - 7*t**2 + 25*t + 17. Let o(g) = -5*c(g) + 9*y(g). What is o(4)? 12 Let u(h) = -h**3 + 5*h**2 - 3*h - 6. Suppose 419*w = 395*w + 168. Give u(w). -125 Let g(s) = -23*s - 60. Let t be g(-13). Suppose 5*x - t = 116. Suppose x + 13 = -12*w. Let q(d) = -d**3 - 8*d**2 - 10*d. Determine q(w). 21 Let q = -12 - -9. Let f(u) = -2 - 4*u**2 + 2*u - 747357*u**3 + u**2 + 747356*u**3. Determine f(q). -8 Let t(u) be the second derivative of u**4/12 - 19*u**3/6 + 53*u**2/2 + 2041*u. Give t(3). 5 Let f(k) be the second derivative of -49*k**4/6 - k**2/2 - 1666*k. Calculate f(1). -99 Let s(r) = -2*r + 19. Let x be s(9). Let z(d) be the first derivative of 2*d**3/3 + 3*d**2/2 - d - 812. What is z(x)? 4 Let j(n) = 3*n + 11. Let t be j(-1). Let w(c) = t*c**2 + 565 - 282 - 282 + c**3 + c. Let i be 8/12*4*-3. Determine w(i). -7 Let q(l) be the second derivative of 2*l**3/3 + 50*l**2 - 78*l - 8. Calculate q(-25). 0 Let x(w) = -w**3 - 10*w**2 - w - 7. Let p be 3/(-2) + (-15)/6 + 4. Suppose 5 = -3*j + k - p*k, -j = -5*k + 25. Suppose -30 = 3*i - j. Determine x(i). 3 Let i(g) be the first derivative of g**4/4 - 5*g**3 + g**2/2 - 12*g - 1141. What is i(15)? 3 Let q be ((-3)/2 + 1)*0. Suppose q - 20 = 5*z. Let y be ((-10)/z + -3)*2. Let k(g) = 11*g + 1. What is k(y)? -10 Let b = 1219 - 1215. Let p(g) = -g**3 + 4*g**2 + 6*g - 6. Determine p(b). 18 Let k be 6/(8/2 - 2). Let v(g) = 13*g**2 + k + 1 - 11*g**2 + 3*g. Let n(r) = r**2 + 2*r + 3. Let o(t) = 8*n(t) - 5*v(t). Determine o(3). -11 Suppose 5*h - 16 = 14. Suppose -d = 2 - h. Suppose -2*v = 3*g + 2 - 4, v = d*g - 10. Let t(b) = b**3 - 2*b**2 + 3*b - 2. Give t(g). 4 Let a(z) = -z + 2. Let t be ((-132)/(-8))/3*(-2 + 4). Suppose -3*i - 5*x + 35 = t, 12 = 5*i - x. Suppose i*v = 9, k + 4*k + 4*v = 27. What is a(k)? -1 Let f = -2 - -4. Let v be 4/(0 - -2) - (-9)/3. Let s(z) = 12*z**2 + 3*z - 6. Let g(q) = 14*q**2 + 4*q - 7. Let a(n) = v*g(n) - 6*s(n). What is a(f)? -3 Let w be -102*((-8)/(-30))/(18/(-45)). Suppose 14*f - 156 - w = 0. Let j = f + -15. Let g(h) = 7*h**3 + h**2 - 1. Give g(j). 7 Let d = 45223 + -45242. Let t(s) = -s**2 - 44*s - 476. Calculate t(d). -1 Let g(u) = u + 7. Let b(r) = 6*r**2 + r. Let a be b(1). Suppose 5*y - a*n + 3*n = -595, 3*y - n = -357. Let p be y/34*(-2)/(-1). Give g(p). 0 Let p(b) = -3*b**3 - 45 - 3*b**3 - 15447*b + 15462*b + 5*b**3 + 9*b**2. What is p(10)? 5 Suppose 10 = -6*v + v. Let n(w) = -2 + 2156*w + 4*w**2 - 2159*w - 2*w**2 + 2*w**3. Give n(v). -4 Let w(o) = 5*o**2 + 14*o + 6. Let z be w(-4). Let r(g) = 3*g - 34 - 32 - z + 94. Give r(1). 1 Let w(p) = p + 19. Let c be w(-11). Suppose 6*a - a - 9 = -3*b, -4*a - 2*b + c = 0. Suppose x - 4 = -y + 2*x, 18 = 5*y - a*x. Let z(d) = 4*d - 2. What is z(y)? 10 Let z(u) = -15*u + 346. Let f be z(23). Let g(l) be the third derivative of -l**6/40 + l**4/12 - l**3/6 + 18*l**2. Give g(f). -2 Let w = -1843 - -2802. Let f = 957 - w. Let j(o) = 11*o**2 - 1. Determine j(f). 43 Let h(i) = -16*i - 2. Let r = -32 + 39. Suppose -7*k + 21 = r. Give h(k). -34 Let q = 227 - 109. Let h = q + -114. Let r(i) = 4*i - 4. Determine r(h). 12 Let p(a) be the first derivative of -2*a**3/3 + a**2/2 + 5*a - 1880. What is p(-3)? -16 Let q(u) = u**3 - 9*u**2 + 3*u - 7. Let n(w) = 28*w - 191. Let y be n(7). Suppose z + 6 = -5*c, -y*z + 4 = 4*c - 29. Calculate q(z). 20 Let r(d) = -101*d - 12. Let m(n) = 278*n + 35. Let u(f) = -4*m(f) - 11*r(f). Determine u(-12). 4 Let m(s) = -5*s**2 - s + 13. Let x(a) = 4*a**2 + 2*a - 13. Let u(t) = -3*m(t) - 4*x(t). Let i be (-392)/1764 - (-52)/(-9). Calculate u(i). 7 Let m(d) be the second derivative of d**5/10 + d**4/3 + 2*d**3/3 + d**2 - d. Let a = 402 + -405. Let h be (-19)/(-57) + 7/a. Determine
{ "pile_set_name": "DM Mathematics" }
, r = l + 5. Solve p + 2*n - 33 = 6*p, 0 = -2*p + r*n - 18 for p. -5 Let x be ((-264)/(-68))/1 + -1 + (-133)/(-119). Solve -3 = 8*r - 6*r + v, x*r = v - 9 for r. -2 Let c be (-10 - (-407)/44)/(6/(-16)). Suppose -6 = -c*j + 3*n + 5, 0 = -2*j + 5*n + 13. Solve 8*v - 2*k = j*v + 10, 5*v = -3*k + 7 for v. 2 Suppose -9 = -3*f + 3*z - 0*z, 2*f - 8 = 4*z. Suppose 2*b - 20 = -4*h, 30 = b + f*b + 2*h. Solve 5*r = b, -7 + 4 = -d + r for d. 5 Suppose -46*k + 91 + 188 = 49. Solve -j + 10 = -5*f + 30, k*f = 4*j + 5 for f. 5 Let t be (-2)/(-3) + 12/(-18). Suppose -2*p = 3*p - 5, t = 3*q + 3*p - 33. Solve -5*l - 5*f + q = 0, 2*l + 4*f - 2 - 12 = 0 for l. -3 Suppose 0 = -3*w, -2*w = -5*t + t + 408. Suppose 2*i - 64 = -254. Let s = t + i. Solve z = 5, 4*k + 3*z = 34 - s for k. 3 Let z(y) be the second derivative of -23*y**3/6 - 3*y**2/2 + 4*y. Let s be z(-1). Let d be (-11)/(-3) + 4/3. Solve 3*g - 2*n + d = -n, -4*g + s = 4*n for g. 0 Suppose 0*o + q = -o + 3, 0 = -2*q. Suppose -5*k = f - 9, 4*f + k = -3*k + 52. Let h = -12 + f. Solve -h*i - 26 = -7*i - v, o*i - 2*v - 13 = 0 for i. 5 Let u(r) be the second derivative of -r**3/6 + 9*r**2/2 - 25*r. Let q be u(-5). Suppose 5*i - q = 11. Solve 4 + 1 = 2*c - i*d, 0 = -d - 3 for c. -5 Suppose 53*i + 97*i = 0. Solve -3*y + 8 = -q, i = -31*q + 36*q + y - 8 for q. 1 Let c be 4 + -12 + 5 + 7 + -2. Suppose 2*m = -c, 2*z = 3*m - 5*m + 6. Suppose -5*n = -8 - 2. Solve 2*v + 6*t = z*t - 8, 0 = n*v + 4*t + 18 for v. 1 Suppose 6*q + 146370 - 146442 = 0. Solve 0 = -4*k - q, u - 7 = -33*k + 34*k for u. 4 Let t = 68 + -48. Suppose b + 3*b - t = 0. Suppose 0 = 2*x + z - b, -x = -3*x - 2*z + 6. Solve h - q = -4, -x*q - 1 - 6 = h for h. -5 Let g(k) = 2*k**3 + 11*k**2 - 4*k + 5. Let f be g(-6). Let b(t) = -t**3 - 8*t**2 - 6*t + 7. Let n be b(f). Solve -3*c = -4*p - 20, p - c + 0*c + 6 = n for p. -2 Let a be (-1 - -2)*(30 - 28). Suppose -a*b + 1080 = 1072. Suppose 5*y + 1 = 3*z - 10, -5*z - 2*y = -8. Solve 1 = b*d - z*l + 23, -5*d = 3*l for d. -3 Suppose j + 25 = 2*i + 4*j, 0 = 4*i + 2*j - 22. Solve 2*h = -0*p - p - 3, i*p - h - 14 = 0 for p. 5 Let q(o) = 2*o + 24. Let d be q(-11). Suppose 2*j - 16 = -d*j. Suppose j*p - 9 = 7. Solve 2 = 3*u + z - 0, p*u = 4*z + 8 for u. 1 Suppose -2*f - 2 - 12 = -2*b, b = -3*f - 13. Solve -6*i = 4*m - i + 26, -b = 2*m - 3*i for m. -4 Let u be 75 - 70 - (0 + 2). Solve -u = -4*k - 4*x + 21, -k + 21 = 4*x for k. 1 Suppose 48*b - 27231 = -26415. Solve 2*t - 3*r - 1 = 0, -89*r = -5*t - 88*r - b for t. -4 Let s = -851 + 825. Let i be 8 - (s + 0 - 1). Solve -2*o = -5*a - 20, -5*o + i = -2*a + 6 for o. 5 Suppose 8*z - 23 + 12 = 13. Let c = -115 + 120. Solve 5*w = 2*w + 3*r, -c*w = z*r + 32 for w. -4 Suppose -z - 4*o + 16 = 0, -5*o + 11 = 26*z - 27*z. Solve 0 - z = 2*a + 2*c, -3*a - 16 = -2*c for a. -4 Let b = 25 - 20. Suppose -4*m = 5*s - b + 18, -4*s - 17 = m. Let j = 988 - 988. Solve -m*r + 4*t = j, 3*t - 6 = -3*r + 5*t for r. 4 Let t be 12/21 + (-32)/56. Let w be 2/3*(3 + t). Solve 0 = w*h + 3*o - 14, 0 = 5*h - h + 5*o - 24 for h. 1 Suppose -o = 3*x - 9, 3*o - 11 = -x - 0*o. Suppose 138 - 42 = 2*r. Suppose -d + 7*d = r. Solve -b - d = -5*g, 5*g - x*b - 4 = 2 for g. 2 Suppose -51 - 159 = -21*h. Suppose p - h = -2*y, 6*p - 11*p + y = -6. Solve 5*u - 25 = -4*q, -p*q + u - 2 = 3 for q. 0 Let k be (-3)/((-6)/4) + -8 - -1. Let j be ((-55)/22*1)/(k/4). Solve -2*a + j*g + 12 = 0, -12 = -a + 5*g - g for a. 4 Let z = 28 - 35. Let y(a) = -5*a - 31. Let k be y(z). Solve 5*q - 10 = -5*i, i = -i + k for q. 0 Let u(h) be the third derivative of -h**5/60 - h**4/4 + 10*h**3 + 2*h**2 - 122. Let d be u(-11). Solve 5*l + d = y, 0 = 2*l + l - 5*y - 19 for l. -2 Let u = -143 + 152. Let w be 52/39 - (2 - 15/u). Solve b + 7 = k - w, -5*b = 20 for k. 4 Suppose -12*j - 426 = -6*j. Let l = j - -87. Let b be (-3)/(-2) + 2/(-4). Solve 0 = 3*q - a + l, -9 = 2*q + 2*a - b for q. -5 Suppose 28 = 4*n + 5*o - 14, -3*n + 20 = -2*o. Suppose -5*b - 4*m + 12 = -3*m, 2*b - n = -2*m. Solve t = -3*c + 11, b*t - c - 2*c = -23 for t. -4 Suppose -5*c + 3*c = -2, -5*c = -2*b - 271. Let d = b + 138. Suppose -d*f + 3*f = -3*t + 29, -4*t + 77 = 5*f. Solve 5*y = -5*m - 25, 3*m - 3*y + t = -m for m. -4 Suppose -h + 22*m = 17*m - 8, m + 10 = 3*h. Let i be 0/(2 + -3 + 2). Solve -4 = -g + h*l, i = -2*g + 7*g - l - 6 for g. 1 Let m = -2134 - -2132. Let s be 28/(-5) - (-4)/(-10). Let f be (m/s)/(91/15 + -6). Solve 3*p - 1 = 2, a + f*p - 4 = 0 for a. -1 Let u(w) = w**2 + 66*w + 560. Let v be u(-10). Solve 7 = -3*z - 2*m, v = z - 9*m + 8*m - 6 for z. 1 Let f(k) = -k**2 + 4*k - 1. Let h be f(0). Let p be (-2 + 13 + h)/2. Solve -5*i + 5 = 4*s, -29 = -2*i + p*s + 6 for i. 5 Suppose -t + 7 = 4*l - 4, 3*t + 12 = 3*l. Let u(q) = -2*q**3 + 4*q**2 + 4*q + 8. Let s be u(l). Solve -3*k + 5*h + 8 = 0, -s*k + 3*h - 3 + 7 = 0 for k. -4 Suppose x - 63 = -44*c + 45*c, 5*c + 138 = 2*x. Solve -60*o - 15 = -x*o + 4*k, 20 = -4*k for o. 5 Suppose -5*o + 572 = -0*n + n, -472 = -4*o + 4*n. Let g be (-102)/272 + o/8. Solve -4*d - p - g = 2*p, -12 = 5*d + p for d. -2 Let f = 97 - 69. Suppose 15 + 69 = f*p. Solve 0 = -5*i - p*t, -2*t = -5*i - 0*i for i. 0 Let p = -30 + 4. Let a(r) = r**3 + 4*r**2 - 5*r + 20. Let v be a(-6). Let l = v - p. Solve 3*w + 5*c - 20 = 0, -l*w + 0*w + c = 4 for w. 0 Let i(v) = v**2 - 4*v - 20. Let j be i(5). Let y be (-4 - (-98)/21)/((-2)/j). Solve -5*p + 3*p - y = -3*s, -2*s - 2*p - 10 = 0 for s. -1 Let h(d) = 3476 + d**2 - 1834 + 23*d - 1812. Let k be h(-29). Solve -12 = s + 2*i, 0 = s - k*i - 4 - 14 for s. -2 Let y be (45/(-15))/(2/2). Let a be (-4)/(1 + 3) + (0 - y). Solve 0 = 4*p + 3*t + 18, -p + a*t + 5 = -2*t for p. -3 Let c(p) = -p**2 - 29*p - 78. Let n be c(-27). Let a = -18 - n. Solve -4*g + 2 + a = -5*q, -5*g + 10 = 0 for q. 0 Let c be (-145)/(-45) - (-12)/(-54). Let w be (3 - c)*4/8 + 4. Solve -26 = 2*n + w*d - 0*d, 3*d = 5*n for n. -3 Let a be (-1)/8 + (-119)/(-56). Let y(f) = 16*f - 27. Let x be y(a). Solve 0*n - n + q = 7, n + x*q - 5 = 0 for n. -5 Suppose 118 + 20 = 2*r - 2*i, 2*i = -3*r + 187. Suppose -2*f + 15*f - r = 0. Solve 4*v = 2*k + 22, f*v - k - 25 = 1 for v. 5 Let d be (27/(-45))/((-18)/(-20))*-51. Suppose 0 = 2*x + d - 40. Solve -4 = 2*i + k, -3*i + 2*k = 3 + x for i. -2 Suppose -51*y + 105 = -16*y. Suppose -y*b - 5*g = -4, -2*b + 7*b + 3*g = 12. Solve 6 = b*s - 0, -8 = -4*f + 2*s for f. 3 Let c be (8/(-16))/((-3)/(-66)). Let v = c - -14. Let r be (5/(-2) - -2)*-8. Solve 3*n - v = 0, -4*i = -6*i + r*n for i. 2 Let f(w) = w**3 - 15*w**2 + 43*w - 80. Let m be f(12). Solve 4*k = -m*l + 24, 8 + 1 = k + 4*l for k. 5 Let c(v) = 19*v - 775. Let z be c(41). Solve -34*u + 33*u + 20 = 5*i, -2*u + z = i for i. 4 Let u = 79 + -58. Let y(v) = 13*v + 200. Let s be y(-15). Solve 5*b + u = -4*r + s, -4*r = 4*b + 16 for b. 0 Let l be 6/(-10) - (7/35 - (-1580)/(-100)). Solve f - 1 = 3*t, -t = 2*f + l - 10 for f. -2 Let a(d) = d - 4. Let l(b) = 9*b - 76. Let k(x) = 6*a(x) - l(x). Let h be k(16). Solve -9*y + h*c = -4*y - 33, -3*y = 2*c - 11 for y. 5 Let c(o) = -18*o - 169. Let z be c(-12). Suppose z*r - 30 = 37*r. Solve 4*a + 15 = -r*m - 0*a, -2*m = 5*a + 10 for m. -5 Let v be 39/(-15) - (-2)/(-5). Let y be (v/6)/(-7 + (-287)/(-42)). Solve -5*t + 4 = -2*f, -4*t + y*f - 10 = 8*f for t. 0 Suppose 170 - 206 = -3*k. Let b be k/(-4)*(-1 - 0). Solve b = -z + 4*g, -14 = -z - 3*z + 3*g for z. 5 Let j = 1884 - 1875. Solve 2*o - c = -4*c + 9, -j = -3*c for o. 0 Let y(v) = 2*v**3 - 106*v**2 - 214*v - 326. Let r be y(55). Solve 4*a = -0*a + f - 22, 18 = -r*a - f for a. -5 Suppose l + 2*y = 17, 0*y = 5*y - 15. Solve 7 - 26 = -5*i - 2*o, i = 2*o + l for i. 5 Suppose 0*b + 3531 = 11*b. Let k = b + -316. Solve -k*p + 20 = -5*y, 0*p + 5*p - 17 = 4*y for y. -3 Suppose 26*l - 32*l = -12. Suppose 5*d = -p + d - 14, 4*p = l*d + 16. Solve -8 = -0*z - p*z + 4*r, 3*z = 2*r - 4 for z. -4 Suppose -670*y + 72 = -646*y. Solve 2*f - g = -2, 3*f + 6*g = 10*g - y for f. -1 Let p be 14*(-102)/119 - -17. Solve 0 = p*h + 3*u - 31, -94*h - 4*u + 33 = -89*h for h. 5 Let j = 14144 + -14140. Solve 0 = j*z - 3*m - 6, m = -5*z - 1 + 18 for z. 3 Suppose 0 = -5*b - 5*w + 25, 71 = -5*b - 3*w + 96. Solve 0 = -p + 5*f - 8, 9 = b*p + 4*f - 9 for p. 2 Let b = -267 + 612. Let t = -340 + b. Solve
{ "pile_set_name": "DM Mathematics" }
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2
{ "pile_set_name": "DM Mathematics" }
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3, 23, 107, 110753 List the prime factors of 61936991. 61936991 What are the prime factors of 144302272? 2, 31, 72733 List the prime factors of 7311583739. 7311583739 What are the prime factors of 4103903971? 139, 29524489 What are the prime factors of 959960807? 13, 19, 3886481 What are the prime factors of 2820387239? 40639, 69401 What are the prime factors of 190534476? 2, 3, 11, 61, 23663 List the prime factors of 42599027. 1699, 25073 What are the prime factors of 94234613? 11, 8566783 List the prime factors of 1340940579. 3, 11, 40634563 List the prime factors of 856002358. 2, 3499, 122321 What are the prime factors of 204895165? 5, 101, 631, 643 List the prime factors of 1373216780. 2, 5, 13, 149, 35447 List the prime factors of 148990926. 2, 3, 7, 3547403 List the prime factors of 356717. 31, 37, 311 List the prime factors of 6027541940. 2, 5, 7, 367, 16759 List the prime factors of 209160919. 11, 23, 826723 List the prime factors of 28067946. 2, 3, 4677991 What are the prime factors of 5674498? 2, 17, 47, 53, 67 What are the prime factors of 953303605? 5, 190660721 List the prime factors of 67163814. 2, 3, 421, 8863 List the prime factors of 617253097. 2389, 258373 What are the prime factors of 579749396? 2, 6577, 22037 List the prime factors of 110833314. 2, 3, 1787, 10337 List the prime factors of 212547169. 212547169 What are the prime factors of 3804076994? 2, 1902038497 What are the prime factors of 1759252017? 3, 61, 9613399 What are the prime factors of 411332872? 2, 4513, 11393 What are the prime factors of 411811520? 2, 5, 491, 2621 List the prime factors of 5046216158. 2, 2523108079 List the prime factors of 146634337. 113, 1297649 What are the prime factors of 442911143? 442911143 What are the prime factors of 2367944493? 3, 113, 157, 44491 List the prime factors of 393333142. 2, 196666571 List the prime factors of 26380505. 5, 5276101 What are the prime factors of 585461677? 149, 257, 15289 List the prime factors of 58334464. 2, 227869 List the prime factors of 28167494. 2, 43, 327529 What are the prime factors of 6151415? 5, 109, 11287 What are the prime factors of 5352956216? 2, 669119527 What are the prime factors of 1455206869? 11633, 125093 What are the prime factors of 201200605? 5, 541, 74381 What are the prime factors of 2583846722? 2, 1879, 687559 List the prime factors of 13961433. 3, 79, 58909 What are the prime factors of 127701606? 2, 3, 59, 151, 2389 What are the prime factors of 9052579? 9052579 What are the prime factors of 430725290? 2, 5, 89, 107, 4523 What are the prime factors of 127479327? 3, 42493109 What are the prime factors of 590166602? 2, 73, 163, 24799 What are the prime factors of 2430538131? 3, 7, 113, 20903 List the prime factors of 39436498. 2, 17, 73, 15889 What are the prime factors of 1764297885? 3, 5, 7, 31, 542027 List the prime factors of 1031541873. 3, 8093, 42487 What are the prime factors of 40709793? 3, 23, 589997 List the prime factors of 813620459. 17, 47860027 List the prime factors of 67108896. 2, 3, 43, 5419 List the prime factors of 178635519. 3, 37, 536443 List the prime factors of 382793569. 13967, 27407 What are the prime factors of 689219993? 7, 11, 31, 26249 List the prime factors of 21003432. 2, 3, 17, 51479 List the prime factors of 221847688. 2, 17, 233, 7001 List the prime factors of 2693828272. 2, 239, 704453 List the prime factors of 496358054. 2, 41, 6053147 What are the prime factors of 461352906? 2, 3, 7, 23, 397, 401 What are the prime factors of 1779492997? 233, 929, 8221 List the prime factors of 781515041. 17, 241, 190753 What are the prime factors of 2539247436? 2, 3, 11, 582931 List the prime factors of 819257805. 3, 5, 107, 229, 743 What are the prime factors of 597579666? 2, 3, 99596611 What are the prime factors of 23370444? 2, 3, 17, 4243 List the prime factors of 55293405. 3, 5, 1543, 2389 List the prime factors of 286765725. 3, 5, 23, 37, 4493 List the prime factors of 3065061436. 2, 41, 599, 761 What are the prime factors of 7899521504? 2, 7, 911, 38711 What are the prime factors of 3306363327? 3, 37, 3309673 What are the prime factors of 2250270673? 7, 487, 660097 What are the prime factors of 170518174? 2, 85259087 List the prime factors of 892834028. 2, 1223, 182509 List the prime factors of 18193044. 2, 3, 1516087 List the prime factors of 61822643. 23, 116867 List the prime factors of 508328422. 2, 7, 37, 127, 7727 What are the prime factors of 1290049030? 2, 5, 37, 3486619 List the prime factors of 109000316. 2, 27250079 What are the prime factors of 429073213? 53, 163, 49667 What are the prime factors of 2001071237? 11, 239, 761153 What are the prime factors of 384261724? 2, 7, 11, 37, 4817 What are the prime factors of 2898843476? 2, 724710869 List the prime factors of 98056617. 3, 47, 79, 8803 List the prime factors of 17818272. 2, 3, 41, 503 What are the prime factors of 39584411? 5273, 7507 List the prime factors of 165135460. 2, 5, 7, 19, 62081 List the prime factors of 122886684. 2, 3, 3413519 List t
{ "pile_set_name": "DM Mathematics" }
-1)/(-8). Sort 6, a, 2/3 in descending order. 6, 2/3, a Let a be ((-12)/10)/(5/(-25)). Let n be ((-6)/9)/(2/a). Let j = -8092 - -8096. Put n, j, -6 in descending order. j, n, -6 Let j = -169 + 174. Let l(y) = -y**3 + 6*y**2 - 2*y - 7. Let n be l(j). Put -5, n, -2 in decreasing order. n, -2, -5 Let c be 14/(-30) - 2/10. Suppose -2*t - 3*s + 17 = -3*t, 0 = -t - 2*s + 8. Let o = -2928 + 2928. Sort o, 1, c, t. t, c, o, 1 Let m be ((-1)/3)/((-60)/(-180)). Let o(w) = -2*w**3 + 12*w**2 + w + 6. Let y be o(6). Let g be (-1)/y - (-18)/(-27). Put 1, g, m in ascending order. m, g, 1 Suppose -m + 8 = p, 221*m = -4*p + 219*m + 18. Put p, 0, -3, 23 in descending order. 23, p, 0, -3 Let u(r) be the second derivative of r**5/20 + r**4/4 - r**3/2 + r**2 - 2*r. Let h be u(-4). Let i be -1 - ((2 - 0) + -4). Sort 3, h, i in decreasing order. 3, i, h Let c = -8651 + 8656. Sort -1590, 2, c. -1590, 2, c Let k(b) be the third derivative of -b**5/30 + b**4/4 - b**3 - 36*b**2. Let g be k(2). Let q be 0/(-3) + (4 - (0 - g)). Sort 13, 3, q. q, 3, 13 Let u = -30.4 - -29.334. Let x = u + 0.066. Sort 0.4, x, 2 in decreasing order. 2, 0.4, x Let z = -152 - -155. Suppose -y = -3*y + z*r + 15, 0 = -3*y - 2*r - 10. Put y, -66, -3 in descending order. y, -3, -66 Suppose 20 = 2*b + 2*b. Suppose 0 = b*r + 21 - 6. Let a be 1/r*(-57)/133. Put a, -3, 4 in descending order. 4, a, -3 Let c(a) = a**2 - 209*a + 208. Let q be c(1). Sort -1, q, -637, -2, 2 in decreasing order. 2, q, -1, -2, -637 Let l(j) = -8*j - 7*j + 18 - 3*j + 39*j. Let q be l(-1). Sort q, -0.1, -6 in descending order. -0.1, q, -6 Let q(c) = -78*c - 3353. Let g be q(-43). Let m be (-6 + 1)*(-6)/(-15). Let j be 2/1 - (-4)/m. Put j, -1, g in decreasing order. g, j, -1 Suppose 0 = -78*j - 4227 + 3993. Let u be (-6)/(-27) - 1/9. Let y = -0.3 + -0.2. Put 0, j, y, u in ascending order. j, y, 0, u Let p(j) = -2*j**2 - 33*j - 176. Let k be p(-11). Put 2, k, -5, -3 in ascending order. k, -5, -3, 2 Let l be ((-98)/(-42))/7*(-30)/2. Put -8, 3, l, 2, 18 in increasing order. -8, l, 2, 3, 18 Let k = -6 - -5. Let p = 1.97 + 0.03. Let s = 1707 + -1707. Sort k, p, s, -2 in ascending order. -2, k, s, p Let o(p) = 28*p - 105. Let z be o(5). Suppose -z*m - 14 = -28*m. Sort 4, -1, m, 102 in decreasing order. 102, 4, -1, m Let c be (-4)/(-10) + 36/10. Suppose 2315 = -234*d + 1758 - 1081. Put 2, d, 1/4, c in descending order. c, 2, 1/4, d Let a = 7.491 - 7.591. Sort 2, a, -2/5, 1/45, -1 in descending order. 2, 1/45, a, -2/5, -1 Suppose -327*s + 260 = -353*s. Suppose -5*n - 2*p = 12, 0 = -5*n - 3*p + 7*p - 6. Suppose 0 = 24*f - 53*f + 145. Sort s, n, f. s, n, f Let s(u) = -u**3 - 43*u**2 + 38*u - 265. Let f be s(-44). Put -2, 9, f, -14 in decreasing order. 9, f, -2, -14 Let u = 31404 + -31408. Let s = 0 + -5. Sort -0.3, u, s. s, u, -0.3 Let r(o) = -9*o**2 - o**3 + 137*o - 1 - 68*o + 2*o**3 - 69*o. Suppose -3*a - 2*d - 2*d = -27, 0 = -d. Let f be r(a). Sort -26, 3/4, f in decreasing order. 3/4, f, -26 Let a = 618 - 6792/11. Suppose 5*h = -3*x + 15, -5*x - 9 = -3*h - 3*x. Put h, -1, a in decreasing order. h, a, -1 Suppose 26*r + 16 = -3*t + 21*r, -r = -2*t + 11. Sort 320, -5, -4, t. -5, -4, t, 320 Let p = 0 - -0.1. Let r be (-2 + 3/4)*(-2304)/(-1920) + 1. Put r, -0.2, 9, p in increasing order. r, -0.2, p, 9 Suppose 0 = u - 4*b - 0*b - 220, -4*u + 935 = -5*b. Let c be (u/(-64))/((3/(-8))/1). Sort 1, c, 4. 1, 4, c Let t be ((-5)/15)/(-3 + (-90)/(-27)). Let u be 1/((-27)/42)*2/(-7). Put u, 4, t in decreasing order. 4, u, t Let r(z) = 8*z + 112. Let g be r(-13). Let y be -1 + 4*g/(-16). Suppose 5*u + 22 = -2*w, -3*u = -6*w + 2*w + 8. Put -7, y, u, 1 in increasing order. -7, u, y, 1 Let j(u) = 2*u**2 + 27*u - 719. Let q be j(14). Put 2, 0.07, q, 3/2 in decreasing order. q, 2, 3/2, 0.07 Let p = 1.269 - -0.731. Put 5, p, -38/5, 1/13 in increasing order. -38/5, 1/13, p, 5 Suppose -19*p - 5*l = -20*p + 9, 7 = p - 3*l. Put 5, 2/7, p, 0.1, -0.4 in ascending order. -0.4, 0.1, 2/7, p, 5 Let k(o) = -o**3 + 3*o**2 + 2*o - 98. Let i be k(-5). Sort -2, 2, 0, 6, i in descending order. i, 6, 2, 0, -2 Let m = 1076 + -1076.3. Let t = 172 + -171.5. Sort 0.35, m, t in decreasing order. t, 0.35, m Let u be (-3 + 1/5)*(-10)/4. Suppose u*b = -2*b + 72. Suppose -20 - 4 = b*y. Sort 2, -5, y. -5, y, 2 Suppose t = -2*b + 2 + 5, 3*b = -3*t + 9. Let i be ((-1)/(-3) + -1)/t. Suppose -y + 31 = 5*n, 9*n - 4*n - 85 = 5*y. Sort i, n, 6. i, 6, n Let o = 4 - 1. Let m = 61 + -53. Suppose -3*l = -4*x - 7*l + 12, 2*l - m = -4*x. Sort x, 5, o. x, o, 5 Let c = -10316 + 10329.8. Put 2/3, c, 4, -2/3, -2/25 in increasing order. -2/3, -2/25, 2/3, 4, c Suppose -2*k + 4*r + 0*r = -14, -r - 11 = -2*k. Let s be (-22)/(-3) - (k - 17/3). Let a be (-200)/(-105) - s/6. Sort -1/6, -0.16, a. -1/6, -0.16, a Let t = -14044 - -14041. Let k(h) = -4*h + 1. Let g be k(2). Put t, 2, 0, g in descending order. 2, 0, t, g Let c = 11 + -10.88. Let y = c - 11.92. Let b = -8.8 - y. Put -2/13, -3, b in descending order. b, -2/13, -3 Let u = 2151.4 - 2152. Put u, -5, -80 in increasing order. -80, -5, u Suppose -u = -4*c + 88, -6*c + 3*c + 66 = -u. Put c, -5, 28, -2 in ascending order. -5, -2, c, 28 Let c(n) be the second derivative of -n**3/6 + 9*n**2/2 + 14*n. Let p be c(4). Suppose -p*y = -1 - 4. Sort 0.09, -5, y. -5, 0.09, y Let x = 4.9 + -5.3. Let v be (-2)/(-15) + (-3)/(-15). Let c = -106.8 + 107. Put v, c, x in descending order. v, c, x Let f = 1.0661 + -0.7661. Put 12, -0.1, -1, -3/5, f in increasing order. -1, -3/5, -0.1, f, 12 Suppose y + 14 = -2*s + 5, -3*s - 26 = 4*y. Let l be (-10)/(20/(-6)) + 2. Sort y, -45, -1, l in ascending order. -45, y, -1, l Let f(x) = x**3 - 85*x**2 - 87*x + 98. Let c be f(86). Put 0, 20, c, 4 in descending order. 20, c, 4, 0 Let q = -7.6 + 2.6. Let n be (-27)/(-36) + 17/4. Sort q, n, -1/2 in increasing order. q, -1/2, n Let k be 7/(98/(-88)) + 60/210. Let p be (k/8)/(-1 + 65/80). Put -4, p, 6 in descending order. 6, p, -4 Let n(r) = -r**3 - 2*r**2 + 5*r - 13. Let b be n(-6). Let w = b + -106. Suppose -4*y - 11 + 3 = 0. Sort w, -13, y, 2 in ascending order. -13, w, y, 2 Let c be ((-14)/7)/((-2)/9). Let f = -38516 - -38510. Sort f, -4, c in descending order. c, -4, f Let w = -1243 - -1238. Put w, 4, 0, 369 in decreasing order. 369, 4, 0, w Let b be -6*(0 - (-4)/(-6)). Let i = 263420 - 263415. Sort i, -14, -2, b in descending order. i, b, -2, -14 Let w = 4504.7 + -4504. Sort -1/6, -0.1, -4, -0.2, w in increasing order. -4, -0.2, -1/6, -0.1, w Let g(w) = 77*w + 536. Let j be g(-7). Sort 1439, j, 3, 0, 2. j, 0, 2, 3, 1439 Suppose -h - 4*v + 15 = -2*h, -3*v + 18 = -h. Let f be -3 + (609/h)/(-7). Let k = 2.55 + 0.45. Sort 0.2, k, -3/5, f in ascending order. -3/5, 0.2, f, k Let p be (4/(-30))/2*3. Let u = -20.45 + 0.45. Let k = 37059 - 37062. Put u, p, k in descending order. p, k, u Let f = -13.9 + 15. Let j = f - 0.8. Let o be (6/(-2))/(585/(-234)). Sort 6/11, o, j in descending order. o, 6/11, j Let b = 376122/1034275 + -2/94025. Sort b, 4, -3/19 in increasing order. -3/19, b, 4 Let u(f) = -f**3 + 20*f**2 - 71*f + 24. Let s be u(4). Sort 6/11, -0.1, 1, s, -52 in ascending order. -52, s, -0.1, 6/11, 1 Let r = 0.3233 - 0.2433. Put -0.3, -3/5, r, 1/5, -2 in decreasing order. 1/5, r, -0.3, -3/5, -2 Suppose -1077*i + 1081*i + 12 = 0. Sort 35, 2, 4, i, -2 in descending order. 35, 4, 2, -2, i Let d = 345 + -343. Suppose -89*j = -96*j - 434. Put d, j, 2/11 in ascending order. j, 2/11, d Suppose -5*g - 2*m + 27 = 0, 2*g + m + 0 = 10. Suppose -2 = 2*v, 0 = 3*l - 5*l + v - g. Let j = -17.1 - -3.1. Sort 1, l, j, 2. j, l, 1, 2 Suppose -2*u - 4 = -2, 3*n - 9 = -3*u. Let a = 3541 + -3540. Sort -1.08, n, a in descending order. n, a, -1.08 Let r = 1192.1 - 1192. Sort 0.02, -0.1, r, -4 in ascending order. -4, -0.1, 0.02, r Let x be -19 + -1 - (104 + -114). Sort -5, -1, x, 2 in decreasing order. 2, -1, -5, x Let f = 47 - 41. Suppose 154 + f = -5*b. Let i = b - -36. Sort 7, i, 0 in descending order. 7, i, 0 Let i = -302 + 306. Suppose -2*m = -z + 16, m - 4*m = -2*z + 27. Put i, -0.2, z in decreasing order. z, i, -0.2 Let j(v) = v**2 + 77*v - 139. Let a be j(-79). Sort a, -2, 3, -5 in increasing order. -5, -2, 3, a Suppose 2*i + 2*p - 2 = 0, -3*i = -6*p + 10*p - 4. Put i, -2/19, 6 in decreasing order.
{ "pile_set_name": "DM Mathematics" }
1617876? 2, 3, 13, 3457 What are the prime factors of 152417? 152417 List the prime factors of 8989788. 2, 3, 749149 List the prime factors of 10963869. 3, 7, 163, 3203 List the prime factors of 2196209. 37, 59357 What are the prime factors of 681899? 681899 List the prime factors of 1426368. 2, 3, 17, 19, 23 List the prime factors of 2205941. 101, 21841 List the prime factors of 1407944. 2, 175993 What are the prime factors of 287280? 2, 3, 5, 7, 19 What are the prime factors of 153623? 153623 What are the prime factors of 436415? 5, 7, 37, 337 List the prime factors of 2498002. 2, 13, 29, 3313 List the prime factors of 40955. 5, 8191 What are the prime factors of 11833871? 7, 41, 41233 List the prime factors of 5774343. 3, 1924781 What are the prime factors of 1883704? 2, 41, 5743 List the prime factors of 1892916. 2, 3, 17, 1031 What are the prime factors of 335075? 5, 13, 1031 List the prime factors of 3507372. 2, 3, 11, 17, 521 What are the prime factors of 334990? 2, 5, 139, 241 What are the prime factors of 13827643? 31, 446053 What are the prime factors of 3457652? 2, 11, 78583 What are the prime factors of 9917349? 3, 13, 254291 List the prime factors of 165103. 165103 What are the prime factors of 845499? 3, 281833 List the prime factors of 75150. 2, 3, 5, 167 List the prime factors of 294495. 3, 5, 29, 677 What are the prime factors of 249340? 2, 5, 7, 13, 137 List the prime factors of 903965. 5, 180793 What are the prime factors of 36134293? 13, 2779561 List the prime factors of 799261. 853, 937 What are the prime factors of 1983017? 281, 7057 List the prime factors of 528311. 7, 71, 1063 List the prime factors of 1707645. 3, 5, 113843 List the prime factors of 284190. 2, 3, 5, 9473 List the prime factors of 1062246. 2, 3, 31, 5711 What are the prime factors of 551017? 551017 List the prime factors of 3952360. 2, 5, 98809 What are the prime factors of 299182? 2, 13, 37, 311 List the prime factors of 736804. 2, 167, 1103 What are the prime factors of 8101048? 2, 1012631 List the prime factors of 1277663. 719, 1777 What are the prime factors of 108593? 31, 113 What are the prime factors of 170158? 2, 149, 571 What are the prime factors of 6995882? 2, 73, 47917 What are the prime factors of 3098984? 2, 7, 55339 What are the prime factors of 4109180? 2, 5, 23, 8933 List the prime factors of 23684108. 2, 7, 19, 44519 What are the prime factors of 881285? 5, 43, 4099 What are the prime factors of 804490? 2, 5, 80449 List the prime factors of 9364724. 2, 67, 83, 421 List the prime factors of 289437. 3, 96479 List the prime factors of 5844036. 2, 3, 11, 44273 What are the prime factors of 14348456? 2, 1187, 1511 What are the prime factors of 463445? 5, 59, 1571 List the prime factors of 196582. 2, 227, 433 List the prime factors of 2896937. 41, 70657 List the prime factors of 397630. 2, 5, 17, 2339 What are the prime factors of 312854? 2, 19, 8233 List the prime factors of 115239. 3, 107, 359 List the prime factors of 4512015. 3, 5, 100267 List the prime factors of 1974341. 263, 7507 What are the prime factors of 26497770? 2, 3, 5, 13, 67943 What are the prime factors of 126014? 2, 7, 9001 What are the prime factors of 152839? 152839 List the prime factors of 4795174. 2, 2397587 What are the prime factors of 319611? 3, 106537 What are the prime factors of 151922? 2, 37, 2053 What are the prime factors of 515070? 2, 3, 5, 59, 97 What are the prime factors of 2371386? 2, 3, 395231 What are the prime factors of 397545? 3, 5, 17, 1559 List the prime factors of 665843. 665843 What are the prime factors of 53791? 53791 What are the prime factors of 772724? 2, 193181 List the prime factors of 1808256. 2, 3, 17, 277 What are the prime factors of 11896812? 2, 3, 19, 17393 What are the prime factors of 9220740? 2, 3, 5, 227, 677 What are the prime factors of 463828? 2, 17, 19, 359 List the prime factors of 754036. 2, 131, 1439 List the prime factors of 377331. 3, 125777 List the prime factors of 349521. 3, 116507 List the prime factors of 126753. 3, 11, 23, 167 What are the prime factors of 6827895? 3, 5, 23, 733 What are the prime factors of 113486? 2, 179, 317 List the prime factors of 9438196. 2, 17, 138797 What are the prime factors of 30396755? 5, 6079351 List the prime factors of 2112709. 17, 124277 List the prime factors of 16157812. 2, 11, 157, 2339 List the prime factors of 626004. 2, 3, 17389 What are the prime factors of 450896? 2, 28181 List the prime factors of 18805340. 2, 5, 29, 32423 List the prime factors of 327093. 3, 13, 8387 What are the prime factors of 145657? 113, 1289 List the prime factors of 135395. 5, 13, 2083 List the prime factors of 318878. 2, 7, 22777 What are the prime factors of 35906966? 2, 47, 381989 List the prime factors of 79930. 2, 5, 7993 List the prime factors of 122284. 2, 19, 1609 List the prime factors of 2786690. 2, 5, 191, 1459 List the prime factors of 99422. 2, 49711 List the prime factors of 75669. 3, 11, 2293 List the prime factors of 320820. 2, 3, 5, 5347 List the prime factors of 19135061. 11, 158141 List the prime factors of 407380. 2, 5, 20369 What are the prime factors of 186851? 7, 26693 List the prime factors of 2029347. 3, 75161 List the prime factors of 637756. 2, 7, 22777 List the prime factors of 465472. 2, 7, 1039 What are the prime factors of 2326822? 2, 83, 107, 131 List the prime factors of 569433. 3, 67, 2833 What are the prime factors of 530006? 2, 265003 List the prime factors of 17230230. 2, 3, 5, 191447 List the prime factors of 5359335. 3, 5, 17, 21017 List the prime factors of 1183126. 2, 7, 84509 List the prime factors of 4131877. 4131877 What are the prime factors of 451439? 451439 List the prime factors of 2649639. 3, 883213 List the prime factors of 5053456. 2, 131, 2411 What are the prime factors of 3260139? 3, 409, 2657 List the prime factors of 169293. 3, 56431 What are the prime factors of 610221? 3, 107, 1901 List the prime factors of 119746. 2, 11, 5443 What are the prime factors of 1092761? 71, 15391 List the prime factors of 127812. 2, 3, 10651 List the prime factors of 5967307. 397, 15031 What are the prime factors of 2341850? 2, 5, 7, 6691 What are the prime factors of 3284494? 2, 1642247 What are the prime factors of 2567054? 2, 7, 183361 What are the prime factors of 8637821? 8637821 What are the prime factors of 960319? 23, 43, 971 What are the prime factors of 176546? 2, 41, 2153 What are the prime factors of 2988355? 5, 597671 List the prime factors of 1047507. 3, 37, 9437 What are the prime factors of 5385? 3, 5, 359 List the prime factors of 1281159. 3, 11, 12941 List the prime factors of 3136691. 19, 165089 What are the prime factors of 1974063? 3, 7, 13, 1033 List the prime factors of 11364. 2, 3, 947 What are the prime factors of 1573567? 1193, 1319 List the prime factors of 6149475. 3, 5, 151, 181 List the prime factors of 14891. 14891 List the prime factors of 182857. 182857 List the prime factors of 211064. 2, 7, 3769 What are the prime factors of 5809866? 2, 3, 968311 What are the prime factors of 237309? 3, 79103 List the prime factors of 9849483. 3, 7, 79, 1979 List the prime factors of 42370023. 3, 281, 50261 List the prime factors of 18338615. 5, 3667723 What are the prime factors of 11724773? 11724773 List the prime factors of 1432412. 2, 358103 What are the prime factors of 3995636? 2, 998909 What are the prime factors of 206561? 67, 3083 What are the prime factors of 4021600? 2, 5, 11, 457 List the prime factors of 159574. 2, 23, 3469 What are the prime factors of 2979917? 2979917 List the prime factors of 1555948. 2, 19, 59, 347 List the prime factors of 14364057. 3, 19, 252001 List the prime factors of 20707609. 13, 61, 26113 What are the prime factors of 5491608? 2, 3, 19, 12043 What are the prime factors of 954374? 2, 139, 3433 What are the prime factors of 72180? 2, 3, 5, 401 List the prime factors of 747256. 2, 93407 List the prime factors of 65632. 2, 7, 293 What are the prime factors of 2804818? 2, 19, 31, 2381 List the prime factors of 81651. 3, 17, 1601 What are the prime factors of 4265852? 2, 61, 17483 What are the prime factors of 10065467? 23, 437629 List the prime factors of 11315026. 2, 5657513 List the prime factors of 23
{ "pile_set_name": "DM Mathematics" }
+ 0*c. Let u(l) = 5*l - 1. Let q(r) = 11*t(r) - 4*u(r). Let z(a) = 6*a + 11. Determine -8*q(o) + 3*z(o). 2*o + 1 Let m(x) = 7*x + 5. Let b(t) = -7*t - 6. What is -6*b(p) - 7*m(p)? -7*p + 1 Let s(j) = -6*j**3 - 11*j**2 + 11*j - 3. Let a(h) = -2*h**3 - 4*h**2 + 4*h - 1. Let z(b) = -2*b**2 - 8*b + 6. Let p be z(-5). What is p*s(i) + 11*a(i)? 2*i**3 + 1 Let j(o) = o**3 + o**2 + o + 1. Let u(a) = -4*a**3 - 2*a**2 - 5*a - 4. Give 10*j(c) + 2*u(c). 2*c**3 + 6*c**2 + 2 Let y(u) be the first derivative of -u**2/2 - u - 1. Let k(z) be the first derivative of z**3/3 - 5*z**2/2 - 5*z - 14. Give -k(j) + 5*y(j). -j**2 Let y(n) = -20*n**2 - 5*n + 4. Let h(s) = -30*s**2 - 8*s + 6. Give -5*h(z) + 8*y(z). -10*z**2 + 2 Let n(b) = -1. Let r(z) = -4*z**2 - 8. Let q = -37 + 31. Calculate q*n(s) + r(s). -4*s**2 - 2 Let f = 2 - 0. Let x(q) = 3 - 2*q + q - f*q**2 + 2*q. Suppose d + 3 = -2. Let v(b) = b**3 + 5*b**2 - 2*b - 7. Determine d*x(o) - 2*v(o). -2*o**3 - o - 1 Let c(f) = 3*f**3 + 3*f. Let k(a) be the third derivative of -a**6/30 - a**4/6 + a**2. Suppose 0 = 5*j + 3*h + 27, h = j - 0*h - 1. Give j*c(s) - 2*k(s). -s**3 - s Let o(k) = 0 + 0 + 0*k**3 - 7*k**3. Let f(v) = 3*v**3 - 13*v**3 - 10*v**3. Let c be (0 + -4)*15/(-10). Calculate c*f(z) - 17*o(z). -z**3 Let l(j) = -2*j**2 + 11*j + 2. Let q(k) = -2*k**2 + 10*k + 2. Determine -6*l(a) + 7*q(a). -2*a**2 + 4*a + 2 Let z(d) = -2*d - 3. Suppose 5*t - 40 - 25 = 0. Let h = t + -20. Let i(f) = f + 2. Calculate h*i(j) - 4*z(j). j - 2 Let w(d) = 6*d**2 - 3*d + 2. Let h(t) = 2*t**2 - t + 1. Give -8*h(g) + 3*w(g). 2*g**2 - g - 2 Let i(f) = -7*f - 1. Let k(p) = 20*p + 3. Let s(l) = -17*i(l) - 6*k(l). Let j be 6/(-5) + (-2)/(-10). Let c(q) = -4*q - 8. Calculate j*c(w) + 6*s(w). -2*w + 2 Let o(l) = l**3 - l**2. Let d be (54/45)/(4/30). Let a = 4 - d. Let h(z) = -2*z**3 + 3*z**2. Determine a*o(v) - 2*h(v). -v**3 - v**2 Let l(a) = -2 + 3 + 5*a**2 + 1 + a**3 + a - 3*a**2. Let s(g) = -4*g**3 - 9*g**2 - 3*g - 9. What is -9*l(k) - 2*s(k)? -k**3 - 3*k Let x(t) = 2*t - 4. Let s(j) be the second derivative of j**3/6 - j**2/2 - 28*j + 1. Calculate -6*s(b) + 2*x(b). -2*b - 2 Let k(q) = -2*q**3 - q - 1. Let y(i) = 16*i**3 - i - 4. Let v(l) = -4*k(l) - y(l). Let f(d) = -7*d**3 + 4*d + 7. Determine 7*f(t) - 6*v(t). -t**3 - 2*t + 1 Let m(l) = 7*l**3 - 4*l**2. Let s(x) = x**3 + x**2. Calculate -3*m(w) - 12*s(w). -33*w**3 Let f = -7 - -16. Suppose 5*y - 2*y = -f. Let z(n) = -n + 2. Let c(b) = 2*b - 3. Give y*z(l) - 2*c(l). -l Let c(l) = 0 + 6 + 2 + 9*l. Let k(w) = -w - 1. Give c(o) + 6*k(o). 3*o + 2 Let n(b) = 4*b**2 + 3. Let q(p) = -9*p**2 - p - 5. Calculate -7*n(a) - 3*q(a). -a**2 + 3*a - 6 Let t(f) = 2*f**3 - 6*f**2 - 3*f + 2. Let i(y) = 3*y**3 - 7*y**2 - 4*y + 2. Calculate -4*i(q) + 5*t(q). -2*q**3 - 2*q**2 + q + 2 Let n(o) = 7*o - 9. Let k(y) be the first derivative of 2*y**2 - 5*y + 1. Let g(j) = -j**3 - 6*j**2 - j - 9. Let a be g(-6). What is a*n(s) + 5*k(s)? -s + 2 Let c(y) = -3*y - 3. Let x(l) = 15*l + 15. Give -21*c(i) - 4*x(i). 3*i + 3 Let f(k) = -k**3 - k**2. Let y(r) = -3*r**3 - 2*r**2. Let v be -12*2/12*-3. What is v*f(h) - 3*y(h)? 3*h**3 Let j(w) = 3*w + 14. Let d(h) = 2*h + 13. Let f(l) = 5*d(l) - 4*j(l). Let m(i) be the first derivative of i**2/2 - 5*i + 1. What is 4*f(x) + 7*m(x)? -x + 1 Let h(p) = -12*p**2 + 4*p + 4. Let x(b) = 84*b**2 - 27*b - 27. Determine 27*h(z) + 4*x(z). 12*z**2 Suppose -2*f + 6 = f. Suppose -4*t = -t - 21. Let b(p) be the third derivative of p**4/4 + p**3/2 - p**2. Let g(x) = -2*x - 1. What is f*b(q) + t*g(q)? -2*q - 1 Let n(b) = -133*b. Let c(y) = -33*y. What is 18*c(l) - 4*n(l)? -62*l Let b(c) = 8*c + 9*c + 5*c - 20*c. Let w(s) = -5*s. Calculate -5*b(r) - 3*w(r). 5*r Let n(q) be the third derivative of q**4/24 - q**3/3 + 5*q**2. Let p(w) = w**3 + 2*w**2 + w. Let c be p(-1). Let r(k) = 3 - k + c - k. Give 4*n(a) + 3*r(a). -2*a + 1 Let c(j) = -4*j**3 - 2*j - 7. Let n(q) = -3*q**3 - 2*q - 6. Calculate -5*c(z) + 6*n(z). 2*z**3 - 2*z - 1 Let v(a) = -a - 1. Let l(t) = -4*t + 6. Give -l(d) - 3*v(d). 7*d - 3 Let n = 26 + -16. Suppose -n = 5*z - 35. Let x(d) = 5*d**3 - 3*d**2 + 4*d. Let v(p) = -6*p**3 + 4*p**2 - 5*p. Suppose -9 = -5*q + 11. Determine q*v(t) + z*x(t). t**3 + t**2 Let b(s) = 2*s - 4*s + 3*s + 4*s**2. Let y(a) = -20*a**2 - 2*a + 7. Let f(r) = 7*r**2 + r - 2. Let n(h) = 7*f(h) + 2*y(h). What is 7*b(w) - 3*n(w)? w**2 - 2*w Let o(j) = -3*j**2 + 5*j - 9. Let f(z) be the first derivative of -1/3*z**3 + z**2 + 2 - 4*z. Calculate -5*f(b) + 2*o(b). -b**2 + 2 Let p(u) = 5*u**3 - 6*u - 6. Let z = 6 - 4. Suppose 7*k - 25 = -3*i + z*k, 5*i = 3*k + 19. Let q(d) = -4*d**3 + 5*d + 5. Determine i*p(m) + 6*q(m). m**3 Let c(h) = -5. Let a(q) = q + 1. Calculate -6*a(i) - c(i). -6*i - 1 Let q(w) = -7*w**2 + 17*w - 5. Let u(v) = -3*v**2 + 9*v - 2. Determine 2*q(c) - 5*u(c). c**2 - 11*c Let t(v) = -v - 1. Suppose 72 = 4*i + 2*b - 2, -b = -1. Let c(d) = -10*d - 8. What is i*t(j) - 2*c(j)? 2*j - 2 Let g(s) = -4*s**2 - 7*s - 1. Let v(z) = z. Calculate -g(d) - 3*v(d). 4*d**2 + 4*d + 1 Let t(c) = -9*c**2 - 15. Let d(q) = q**2 + 1. Calculate 30*d(l) + 2*t(l). 12*l**2 Let x be (3 + -1)/(6/51). Let k(h) = -6*h**3 + 3*h**2 - 14*h - 17. Let n(q) = 2*q**3 - q**2 + 5*q + 6. Determine x*n(o) + 6*k(o). -2*o**3 + o**2 + o Let q(c) = -3. Suppose -3*a + 1 - 9 = -5*z, 5*a + 5*z = 0. Let d(b) = -b - 1. Let t(f) = -f - 1. Let m(n) = -2*d(n) + 3*t(n). Determine a*q(o) + 2*m(o). -2*o + 1 Let p(j) = -22 - 2*j**3 + 17 - j**2 + 3*j**2. Let c(z) = z**3 - z**2 + 2. Calculate 5*c(d) + 2*p(d). d**3 - d**2 Let y(q) = 2 + q + 1 - 2. Let c(o) = 4. Suppose 4*z - 7 = l, 0*l + 5 = 4*z - 3*l. Determine z*y(h) - c(h). 2*h - 2 Let s(p) = 2*p + 18. Let a(i) = i + 1. Give 3*a(j) - s(j). j - 15 Let v = 31 - 14. Let x(u) = -u - 8. Let y(i) = -3*i - 23. Determine v*x(q) - 6*y(q). q + 2 Let u(f) = -4*f**3 + 4*f**2 - f + 4. Let p(x) = -4*x**3 + 3*x**2 - x + 3. Calculate 6*p(m) - 5*u(m). -4*m**3 - 2*m**2 - m - 2 Let r(b) = -5*b**2 + 7*b - 7. Let t(d) = -2*d**2 + 3*d - 3. Let g = -15 - -9. Let k = g - -5. Let i be 0 - -13 - k/1. Calculate i*t(q) - 6*r(q). 2*q**2 Let k(p) = 4*p + 12*p**3 + 3*p**2 - 10*p**3 - 4*p**2. Let r(f) = 6*f**3 - 3*f**2 + 11*f. Give -8*k(x) + 3*r(x). 2*x**3 - x**2 + x Let b(y) = 2*y. Let o(w) = w - 1. Let n(l) = -6*l + 5. Let a(d) = -n(d) - 5*o(d). Calculate -11*a(v) + 4*b(v). -3*v Let r(u) = 5*u - 5. Let m(x) = -9*x + 9. Let f(v) = -v**2 + 8*v + 4. Let h be f(8). Let w be (-3 + 1)*(-54)/h. Let q be 3/(w/(-21))*-3. Give q*r(t) + 4*m(t). -t + 1 Let n(j) = j**2 + j - 1. Let p(h) = -3*h + 10. What is -3*n(g) - p(g)? -3*g**2 - 7 Let p(i) = 3*i**3 - 18*i**2 - 18*i + 18. Let t = 7 - -1. Let g(q) = -3 + q**3 + 3*q + t - 5*q**2 - 8*q. What is 18*g(n) - 5*p(n)? 3*n**3 Let g be -1 - 6/((-1)/1). Let i(a) = -2*a - 3. Suppose -3*u = 0, -8*u + 9 = 3*l - 3*u. Let w(q) = -1 - 2*q + l + 2 + 5*q. Calculate g*i(x) + 4*w(x). 2*x + 1 Let b(i) = 513*i**2 + 95*i - 95. Let n(z) = 16*z**2 + 3*z - 3. Calculate 3*b(q) - 95*n(q). 19*q**2 Let x(t) = t**2 + 7*t + 1. Let b be x(-6). Let l(p) = -p**3 - p**2 - 1. Let v(g) = -4*g**3 - 5*g**2 - 2*g - 5. Determine b*l(z) + v(z). z**3 - 2*z Let u(k) = -k - 48. Let j(w) = -2*w - 97. Give -6*j(g) + 11*u(g). g + 54 Let o(p) = 5*p + 13. Let b(w) = 66*w + 168. Give -2*b(m) + 27*o(m). 3*m + 15 Let z(x) = -8*x - 7. Let u(k) = 7*k + 6. Let c be 1/4 + (-11)/(-4). Let h = 24 - 12. Suppose -h = -c*n + n. Give n*z(s) + 7*u(s). s Let l(f) = f. Let o be l(1). Let v(t) = -2*t + 18. Let q be v(11). Let w(p) = -p**2. Let j(i) = -5*i**2 - 2 - i**2 + 4*i**2 - 2*i. Calculate o*j(c) + q*w(c). 2*c**2 - 2*c - 2 Let l(c) = -c**2 - c + 1. Let u(j) = -4*j**2 + 2*j + 5. What is -5*l(o) + u(o)? o**2 + 7*o Let d(u) = 6*u - 4. Let y = -13 + 8. Let j(c) be the first derivative of 2*c**2 - 3*c + 24. Determine y*d(z) + 7*j(z). -2*z - 1 Let x(t) be the first derivative of t**4 + t**2 + 2*t + 15. Let i = 2 - 0. Let d(u) = -u**3 - u**2 - u - 1. Give i*d(w) + x(w). 2*w**3 - 2*w**2 Let b(f) = -7*f + 68. Let y(l) = 10*l - 102. Calculate 7*b(c) + 5*y(c). c - 34 Let n(y) = -y + 7. Let c(f) = -f + 7. Let x(a) = -2*c(a) + 3*n(a). Let l(h) = h - 8. Calculate -6*l(s) - 7*x(s). s - 1 Suppose -5*i = -0*i + b - 15, -2*b + 3 = i. Let k = i - -2. Let f be 76/18 - 2/9. L
{ "pile_set_name": "DM Mathematics" }
Let c(m) = -16*m**2 - 3*m + 16. Let i(j) = c(j) + 5*n(j). What is i(-6)? -12 Let z(k) = 5*k - 4*k - k + k. Let a(q) = q**2 + 19*q + 33. Let d be a(-16). Let w be (-12)/(-2) - d/(-5) - 1. Determine z(w). 2 Let j(p) = p**3 - 17*p**2 - 3*p + 21. Suppose 0 = 5*s + 4*y - 109, -2*s - y + 37 + 3 = 0. Give j(s). -30 Let r(y) be the second derivative of -y**6/120 + 2*y**5/15 - y**4/3 + 4*y**3/3 - 27*y**2 - 7*y - 2. Let w(p) be the first derivative of r(p). Determine w(7). 1 Let k(n) = -93*n - 156. Let a(y) = 124*y + 156. Let s(f) = 2*a(f) + 3*k(f). Calculate s(-5). -1 Suppose 8*i - 3*i = 165. Let b = i + -15. Let f(p) = -23*p**2 + 2*p - 3 - b*p**2 + 39*p**2 + p. What is f(2)? -5 Let u(i) = -i**2 + 7*i - 7. Let f(s) = -6 - 12*s**2 - 9*s**2 + 27*s**2 - 13*s**2 + 8*s + s**3. Let t(d) = -3*d - 12. Let z be t(-6). Let y be f(z). Give u(y). -1 Let n(z) = 2*z**2 - 2*z**3 + 5*z - 6 - 5*z**3 + 7*z**3 - 3*z**3 + 0. Calculate n(1). -2 Let q(l) = 16*l**2 + 9*l + 14. Let d be q(-2). Suppose 4*t = d - 4. Let x(s) = -15 - t + 30 + 2*s. Calculate x(-2). -3 Let h(a) = -3*a + 6. Suppose -5*v = -s + 5, 0 = -2*s - 5*v - 45 - 20. Let y = -4 - -29. Let r = s + y. Determine h(r). -9 Suppose 2*s = 3 + 1. Let y(v) = v**3 + v - 2 + 5*v**2 + 0*v - 2 - v**s. Let l(d) = 5*d**2 + 26*d + 2. Let f be l(-5). Calculate y(f). 2 Let c(q) = -3*q**2 - 2*q - 3. Let r = 21 - 74. Let a = -36 - r. Let g = -19 + a. Give c(g). -11 Let w be 272/(-40) - 2/10. Let f(p) be the second derivative of p**5/20 + 7*p**4/12 + p**3/6 + 7*p**2/2 + 5*p - 102. Calculate f(w). 0 Let r(l) = l**3 - 46*l**2 + 39*l + 274. Let i be r(45). Let g(o) be the second derivative of -o**5/20 + o**4/3 - o**3/6 + o**2/2 - 48*o. Calculate g(i). -3 Let p(u) be the second derivative of 7/6*u**3 + 2*u**2 + 1/6*u**4 - 4*u + 0. Let w = 365 - 369. What is p(w)? 8 Let i(g) = -4*g + 9 - 18 + 11 + 2 - 13. Determine i(-9). 27 Let h = -138 + 153. Let j be 36/h - 8/20. Let l(x) = -2*x**3 - 2*x + 39*x**2 + 3*x - 40*x**2. Give l(j). -18 Suppose 0 = 2*k - r - 41, 0 = 2*k + 40*r - 45*r - 53. Let h(w) = -5*w + 95. What is h(k)? 0 Let z(c) be the second derivative of 0 + 3/2*c**2 + 2/3*c**3 - 1/12*c**4 - 34*c. Suppose 2*t + 8 = -4*d, -4*d - t - 6 = 4. Determine z(d). -18 Let r(l) = -l**3 + 12*l**2 + 26*l - 175. Let w be -19 + (-5070)/(-270) + 238/18. What is r(w)? -6 Let p(z) = -2*z**2 + 66*z - 9. Let c be p(0). Let y(a) = -a**2 - 18*a - 66. Determine y(c). 15 Suppose 5*j = -5*h - 52 - 183, h - 3 = 0. Let b = -47 - j. Let w(v) = 73*v + 0 + b - 72*v. Determine w(3). 6 Let a(v) = -5*v - 5. Suppose n = 3*c + 7 - 9, 2*n + 3*c = -4. Give a(n). 5 Let l(i) = -2*i**3 - i**2 - 7*i - 1. Let c(r) = -57*r + 453. Let s be c(8). Give l(s). 65 Let t(k) = 8*k**2 - 3*k - 2. Let j(r) = -15*r**2 + 6*r + 3. Let w(o) = -3*j(o) - 5*t(o). Suppose 6*x + 3 = 3*m, -5*m = -75*x + 78*x - 31. Determine w(x). 15 Let r(d) = 6*d**2 - 38*d + 58. Let x be r(2). Let t(n) = -n**3 + 5*n**2 + 12*n - 28. Calculate t(x). 8 Let k(x) = -5*x + 11. Let j(f) = -4*f + 9. Let p(o) = -6*j(o) + 5*k(o). Let h be p(4). Let d(c) = c**2 + c - 2. Calculate d(h). 4 Let p(q) = q**3 + 8*q**2 + q + 4. Let w(r) = -50 + 4*r - 13*r + r**2 - 10*r. Let z be w(21). Give p(z). -4 Suppose -31 = -2*p + 5*l, -p + 5*l + 37 = 3*p. Let h be 1/3 - (-5)/p. Let m(q) = -q + 1. Let o(j) = 1. Let y(i) = 4*m(i) - 6*o(i). Determine y(h). -10 Let l(t) = 18*t**2 - 27*t + 4. Let o(d) = 8*d**2 - 13*d + 3. Suppose -13*m = -16 - 75. Let i(f) = m*o(f) - 3*l(f). Determine i(6). 21 Let c(a) = 8*a + 6. Let q(z) = -7*z - 5. Let l(w) = -6*c(w) - 7*q(w). Let x(n) = n**2 + n - 1. Let k = -14 + 16. Let g be x(k). Calculate l(g). 4 Let h(s) = 4*s**3 - 5*s**2 - 9. Let o be h(3). Let l = o + -52. Let y(f) = f**2 - f + 1. Let w(j) = -j**2 - 3*j + 4. Let g(p) = -w(p) + 4*y(p). Give g(l). 18 Let l(s) = 31 + 3*s - 163 + 27 + 66 - 4*s. What is l(-37)? -2 Let q(h) = -h**3 + 5*h**2 + 7*h - 5. Let c be -64 - (-1 + (3 - 5)). Let b = c + 67. Calculate q(b). 1 Suppose 0 = -3*m - q - 9, 5*m = -0*q + 5*q + 5. Let j(c) = -2*c**3 + 3*c**2 + 2*c - 1. Let x be j(m). Let y(f) = x*f - 20*f - 2 + 0 - 4. Give y(4). 6 Suppose 0 = -5*x + 19 + 31. Suppose 0 = -i + 6*i + x. Let t(c) = -2*c + 19*c**2 + 12609 + 4*c - 6305 - 18*c**2 - 6303. Give t(i). 1 Suppose -442*a + 144 = -448*a. Let u be (-164)/a + (42/36)/7. Let x(n) be the second derivative of n**5/20 - 7*n**4/12 + 2*n**3/3 - 5*n**2 - n. Give x(u). 18 Suppose 16*q + 4 = 20*q. Let y(k) = -k - 2 + 3 + q. Let t be (-147)/(-63) - (-4)/6. Give y(t). -1 Let a be (-4361)/(-392) - (-1)/(-8). Let o(z) = z - 9. Give o(a). 2 Let b(f) = -6*f + 18. Let c(m) = -5*m + 16. Let i(a) = 6*b(a) - 7*c(a). Let y be (-3)/(-6)*8/2. Let w = y - 5. Give i(w). -1 Let m(t) be the second derivative of t**5/60 - 5*t**4/24 - t**3/2 - 161*t**2/2 + 19*t - 2. Let c(q) be the first derivative of m(q). Determine c(-3). 21 Let f(n) = 3*n - 4. Suppose 0 = -16*h + 15*h - 87. Let y = 93 + h. Let j be (16/y)/(20/30). What is f(j)? 8 Let h(q) = -60*q + 51. Suppose 0 = -y - f + 1, -2 = 2*y - 4*f - 4. What is h(y)? -9 Let f(x) be the first derivative of -x**3/3 - 5*x**2/2 + 11*x + 2291. Let c = -5 - -7. Suppose 0*s + 2*s = 2, c*k + 5*s = -11. Give f(k). -13 Let k(t) be the second derivative of t**7/840 - t**6/90 + t**5/24 - t**4/4 + 115*t**3/6 - 85*t. Let u(g) be the second derivative of k(g). Calculate u(5). 44 Let t(d) = 23*d**2 + d + 1. Suppose -g - 261 = 4*u, 2*g - u = -299 - 187. Let m = 244 + g. What is t(m)? 23 Let r(f) = 89*f - 445. Let h be r(5). Let t(a) be the third derivative of a**4/24 - 5*a**3/2 + a**2. Give t(h). -15 Let j(k) be the second derivative of 0*k**4 - 1/20*k**5 - 1/3*k**3 - 195*k + k**2 + 0. Give j(2). -10 Let q(p) = 75*p - 7. Let m be q(0). Let w(r) be the third derivative of -r**6/120 - r**5/10 + r**4/6 - 3*r**3/2 - r**2. Give w(m). 12 Let g(v) = -3*v + 6. Let r = 60 + -57. Suppose -2*l + 14 = -5*p, -9*l + 7*l + 14 = r*p. What is g(l)? -15 Suppose -26*c - 9381 + 8653 = 0. Let s(n) = 41*n + 1153. What is s(c)? 5 Let c(h) = -26*h - 1. Let n(k) = 2*k**3 - 8*k**2 - 4*k + 5. Let w be n(-1). Give c(w). 25 Let t(p) = -16*p + 100. Let y(o) = 8*o - 53. Let f(d) = -4*t(d) - 7*y(d). Determine f(6). 19 Let c(n) = -7*n**3 + 4*n**2 + 14*n + 2062. Let k(y) = 13*y**3 - 8*y**2 - 27*y - 3780. Let j(l) = -11*c(l) - 6*k(l). Let t = -11 + 17. What is j(t)? -26 Let h = -382 + 375. Let x(o) = -o. Let y(k) = 2*k + 5. Let w(c) = 2*x(c) - y(c). What is w(h)? 23 Let v(r) = -2*r**2 - 2*r. Suppose -9*z = -288 + 297. Let j(i) = -8*i - 10. Let q be j(z). What is v(q)? -4 Let v(c) = 3713*c**2 - 3718*c**2 - 2*c**3 + 5*c**3 - 3*c + 1. Calculate v(-2). -37 Let q(p) be the third derivative of -1/60*p**5 + 141*p**2 + 2/3*p**3 + 0*p - 11/24*p**4 + 0. Suppose 5*y - 33 = -88. Calculate q(y). 4 Let c = 225 + -177. Suppose -5*u = i + c - 14, -5*u = 4*i + 61. Let p(g) = g**3 + 8*g**2 - 12*g - 12. Determine p(i). 15 Let r(a) = -3*a**3 + 10*a**2 + 4*a + 2. Let w(n) = -3 - 1 + 4 - 47*n**2 + 45*n**2. Let p(s) = -r(s) - 4*w(s). What is p(-1)? -3 Let d(j) = 10*j**3 + 5*j**2 + 0*j**3 - 26 + 25 - 8*j**3 + 2*j. Suppose 0 = -5*n - s - 66, -5*s + 20 = -4*n - 27. Let r = n + 10. Give d(r). -16 Let f(p) = 8*p + 24. Suppose q = -4*t - 53, -51 = 5*t - 4*q + 31. Let y(z) = -2*z - 5. Let s(w) = t*y(w) - 3*f(w). Suppose -r - 8 = -5*r. Give s(r). 6 Let w(f) be the second derivative of 1/6*f**4 - 3/20*f**5 + 1/2*f**2 - 1/6*f**3 - 48 + 2*f. Determine w(2). -17 Let k be (3/1)/(18/12). Let f(r) = 6*r**2 + 4*r - 9. Let t(j) = 9*j**2 + 5*j - 12. Let z(m) = 4*f(m) - 3*t(m). What is z(k)? -10 Let m(r) = 6*r + 3. Suppose -b = -5*t + 3, -32*t + 37*t - 12 = 4*b. Suppose t = 10*n + 221 - 201. Determine m(n). -9 Let o(h) be the second derivative of h**5/120 - h**4/24 + 9*h**3 - 4*h + 2. Let x(s) be the second derivative of o(s). Let c be (4 - 15/3) + -3. Give x(c). -5 Let v(c) be the second derivative of -2*c**3 + 35*c**2/2 - 10*c + 172. Calculate v(11). -97 Suppose 0 = 5*u - 0*u + 30. Let p(r) be the third derivative of -r**5/60 - r**4/6 + 17*r**3/6 - 377*r**2. Determine p(u). 5 Suppose -2*d + 12 = -3*p, 63*d - 4 = p + 62*d. Let q(o) = -2*o**2 + 7. What is q(p)? -25 Let d(b) = -b - 9. Let a(l) = l**3 - 6*l**2 + 11*l - 8. Let o be a(6). Let r be o/18 - (2 + 16/(-9)). Suppose 5*f = -r*f. Calcula
{ "pile_set_name": "DM Mathematics" }
899, -379782? 62*m**2 - 54689*m + 3 What is the r'th term of -510, -1741, -4470, -9447, -17422, -29145? -125*r**3 + r**2 - 359*r - 27 What is the o'th term of -554509, -1109009, -1663497, -2217973, -2772437, -3326889? 6*o**2 - 554518*o + 3 What is the w'th term of -316893, -1268207, -2853729, -5073459, -7927397, -11415543? -317104*w**2 - 2*w + 213 What is the x'th term of 37950, 76215, 114476, 152733? -2*x**2 + 38271*x - 319 What is the q'th term of -14572, -28944, -43298, -57628, -71928, -86192, -100414? q**3 + 3*q**2 - 14388*q - 188 What is the b'th term of -32911, -263260, -888499, -2106076, -4113439, -7108036, -11287315, -16848724? -32908*b**3 + 3*b**2 - 2*b - 4 What is the j'th term of 16815, 64690, 144477, 256170, 399763, 575250, 782625? -j**3 + 15962*j**2 - 4*j + 858 What is the a'th term of 232994, 468347, 703700, 939053, 1174406, 1409759? 235353*a - 2359 What is the h'th term of 1475726, 1475719, 1475712, 1475705, 1475698? -7*h + 1475733 What is the c'th term of -29832, -59880, -89928? -30048*c + 216 What is the a'th term of -700973, -700942, -700905, -700862, -700813, -700758, -700697? 3*a**2 + 22*a - 700998 What is the g'th term of 44012171, 88024341, 132036511, 176048681? 44012170*g + 1 What is the p'th term of 21641322, 21641339, 21641356, 21641373, 21641390, 21641407? 17*p + 21641305 What is the b'th term of -419831, -419787, -419691, -419537, -419319, -419031? b**3 + 20*b**2 - 23*b - 419829 What is the z'th term of 72521258, 72521264, 72521280, 72521312, 72521366? z**3 - z**2 + 2*z + 72521256 What is the q'th term of 119449, 238870, 358291, 477712? 119421*q + 28 What is the d'th term of 2420591, 4841182, 7261771, 9682358, 12102943? -d**2 + 2420594*d - 2 What is the c'th term of -352925, -705842, -1058759, -1411676, -1764593, -2117510? -352917*c - 8 What is the t'th term of 14496, 27614, 40732, 53850? 13118*t + 1378 What is the t'th term of -8487935, -16975867, -25463795, -33951719, -42439639, -50927555? 2*t**2 - 8487938*t + 1 What is the n'th term of -67510, -269201, -605078, -1075141? -67093*n**2 - 412*n - 5 What is the h'th term of 9576, 19783, 29920, 39951, 49840? -6*h**3 + h**2 + 10246*h - 665 What is the t'th term of 2402926, 9611711, 21626360, 38446879, 60073274? t**3 + 2402926*t**2 - 1 What is the h'th term of -5475171, -10950335, -16425499, -21900663, -27375827? -5475164*h - 7 What is the z'th term of -94380, -96472, -98562, -100650? z**2 - 2095*z - 92286 What is the p'th term of 5110252, 5110344, 5110434, 5110522, 5110608, 5110692? -p**2 + 95*p + 5110158 What is the b'th term of 7611, 19187, 34717, 54207, 77663, 105091? b**3 + 1971*b**2 + 5656*b - 17 What is the j'th term of -527843525, -1055687052, -1583530579, -2111374106, -2639217633? -527843527*j + 2 What is the p'th term of 93450, 186318, 279186? 92868*p + 582 What is the x'th term of -1159756, -1159764, -1159776, -1159792, -1159812, -1159836, -1159864? -2*x**2 - 2*x - 1159752 What is the g'th term of 14627, 11900, 9175, 6452? g**2 - 2730*g + 17356 What is the j'th term of -62416, -249464, -561142, -997450? -62315*j**2 - 103*j + 2 What is the c'th term of -7004, -27933, -62820, -111659, -174444, -251169, -341828? c**3 - 6985*c**2 + 19*c - 39 What is the c'th term of 8758496, 8758490, 8758482, 8758472, 8758460, 8758446, 8758430? -c**2 - 3*c + 8758500 What is the q'th term of -2267, -9051, -20341, -36137, -56439? -2253*q**2 - 25*q + 11 What is the w'th term of 150947540, 150947543, 150947546, 150947549, 150947552? 3*w + 150947537 What is the v'th term of -602171, -2408198, -5418241, -9632300, -15050375, -21672466? -602008*v**2 - 3*v - 160 What is the g'th term of -1258430, -1258221, -1257866, -1257359, -1256694? g**3 + 67*g**2 + g - 1258499 What is the x'th term of 39148, 157825, 355612, 632503, 988492, 1423573? -x**3 + 39561*x**2 + x - 413 What is the m'th term of 156353, 156468, 156777, 157376, 158361? 16*m**3 + m**2 + 156336 What is the a'th term of -428448, -429059, -429670, -430281, -430892, -431503? -611*a - 427837 What is the d'th term of 18289, 74874, 169205, 301300, 471177, 678854, 924349? 3*d**3 + 18855*d**2 - d - 568 What is the z'th term of -423907, -423991, -424123, -424297, -424507? z**3 - 30*z**2 - z - 423877 What is the p'th term of 255239698, 255239696, 255239694? -2*p + 255239700 What is the n'th term of 543, 6060, 21093, 50400, 98739? 793*n**3 - 34*n - 216 What is the t'th term of 18100391, 18100398, 18100405, 18100412? 7*t + 18100384 What is the q'th term of -42137, -186972, -428363, -766310? -48278*q**2 - q + 6142 What is the a'th term of 10965498, 10965534, 10965570? 36*a + 10965462 What is the f'th term of 11316534, 22633076, 33949618, 45266160? 11316542*f - 8 What is the j'th term of 1435, 1756, 967, -926, -3917, -8000, -13169, -19418? j**3 - 561*j**2 + 1997*j - 2 What is the t'th term of 107197, 214516, 321835, 429154, 536473, 643792? 107319*t - 122 What is the x'th term of 86527, 173184, 259959, 346852? 59*x**2 + 86480*x - 12 What is the m'th term of 4897, 9668, 14487, 19354, 24269, 29232, 34243? 24*m**2 + 4699*m + 174 What is the k'th term of -342981, -689295, -1035623, -1381971, -1728345, -2074751, -2421195, -2767683? -k**3 - k**2 - 346304*k + 3325 What is the b'th term of 365431, 730809, 1096187, 1461565, 1826943? 365378*b + 53 What is the v'th term of 4729101, 9458201, 14187301, 18916401, 23645501? 4729100*v + 1 What is the i'th term of 14206, 14026, 13868, 13744, 13666, 13646, 13696, 13828? 2*i**3 - i**2 - 191*i + 14396 What is the k'th term of -422410, -1689654, -3801712, -6758578, -10560246, -15206710, -20697964? k**3 - 422413*k**2 - 12*k + 14 What is the q'th term of -6962, -14101, -21442, -28985, -36730, -44677? -101*q**2 - 6836*q - 25 What is the p'th term of -731881, -731868, -731855, -731842, -731829? 13*p - 731894 What is the v'th term of 18960, 37844, 56738, 75648, 94580, 113540, 132534? v**3 - v**2 + 18880*v + 80 What is the s'th term of -458649, -1834592, -4127827, -7338354, -11466173? -458646*s**2 - 5*s + 2 What is the t'th term of -158959, -159563, -160167? -604*t - 158355 What is the a'th term of 2684, 2489, 1588, -373, -3748? -59*a**3 + a**2 + 215*a + 2527 What is the v'th term of 10611068, 21222127, 31833196, 42444281, 53055388, 63666523? v**3 - v**2 + 10611055*v + 13 What is the m'th term of 11261, 11326, 11383, 11432? -4*m**2 + 77*m + 11188 What is the s'th term of 533780851, 1067561700, 1601342549, 2135123398, 2668904247, 3202685096? 533780849*s + 2 What is the w'th term of -263, -336, -303, -164, 81, 432, 889? 53*w**2 - 232*w - 84 What is the g'th term of 117, 99, 7, -171, -447? -2*g**3 - 25*g**2 + 71*g + 73 What is the f'th term of -1354, -2252, -2704, -2710? 223*f**2 - 1567*f - 10 What is the q'th term of 6137, 4230, 1065, -3358, -9039? -629*q**2 - 20*q + 6786 What is the v'th term of 463494672, 463494674, 463494676, 463494678, 463494680, 463494682? 2*v + 463494670 What is the f'th term of 852071, 851841, 851611? -230*f + 852301 What is the z'th term of -2813, -5477, -8165, -10889, -13661? -2*z**3 - 2650*z - 161 What is the f'th term of -278, 1201, 5212, 13021, 25894, 45097, 71896, 107557? 211*f**3 + 2*f - 491 What is the f'th term of 1999, 7854, 17591, 31192, 48639, 69914? -3*f**3 + 1959*f**2 - f + 44 What is the a'th term of 12261, 16641, 21023, 25407, 29793, 34181? a**2 + 4377*a + 7883 What is the z'th term of 8107859, 16215720, 24323581, 32431442? 8107861*z - 2 What is the k'th term of -17732, -35509, -53392, -71387, -89500, -107737, -126104? -k**3 - 47*k**2 - 17629*k - 55 What is the h'th term of -141, -19764, -78303, -195216, -389961, -681996? -3243*h**3 + 3078*h + 24 What is the t'th term of -793509, -793496, -793451, -793356, -793193, -792944? 3*t**3 - 2*t**2 - 2*t - 793508 What is the y'th term of 5773885, 11547766, 17321645, 23095522, 28869397, 34643270, 40417141? -y**2 + 5773884*y + 2 What is the l'th term of -165696, -331418, -497140, -662862, -828584, -994306? -165722*l + 26 What is the v'th term of 26564, 24418, 22272, 20126? -2146*v + 28710 What is the b'th term of 137184, 274464, 411780, 549150, 686592, 824124? 3*b**3 + 137259*b - 78 What is the a'th term of 7793, 15651, 23575, 31565, 39621? 33*a**2 + 7759*a + 1 What is the g'th term of 11806, 27692, 43574, 59452, 75326, 91196? -2*g**2 + 15892*
{ "pile_set_name": "DM Mathematics" }
w(-13). -362 Let d(l) = -59*l - 24. Determine d(1). -83 Let a(c) = -357*c - 5. Determine a(0). -5 Let c(a) = -6*a**2 - 100*a - 286. Give c(-3). -40 Let j(v) = -129*v + 4639. What is j(36)? -5 Let c(k) = k**3 + 89*k**2 - 79*k + 998. What is c(-90)? 8 Let w(o) = -2*o**2 + 59*o - 38. Determine w(28). 46 Let m(d) = d**3 - 7*d**2 - 7*d + 2. Determine m(-1). 1 Let q(w) = 4*w**2 + 21*w + 91. Give q(-4). 71 Let j(a) = -a**2 + 36*a + 613. Determine j(-14). -87 Let m(j) = -j**2 - 15*j + 428. Calculate m(16). -68 Let x(t) = t**2 + 18*t + 55. Determine x(-15). 10 Let d(z) = -2*z**2 + 25*z + 665. Give d(25). 40 Let n(w) = 2316*w**2 + 6926*w + 2. Give n(-3). 68 Let m(c) = -c**3 - 17*c**2 + 29*c - 37. Calculate m(-19). 134 Let m(q) = 19*q**3 - 153*q**2 + 45*q - 306. Calculate m(8). -10 Let u(m) = -m**3 - 69*m**2 - 446*m - 760. Determine u(-62). -16 Let v(w) = -5*w**2 - 119*w - 31. Calculate v(-23). 61 Let f(p) = 3*p**2 - 37*p + 104. Calculate f(8). 0 Let z(b) = -3*b**2 - 30*b + 38. Determine z(-14). -130 Let t(s) = s**3 + 19*s**2 - 86*s - 443. Give t(-22). -3 Let v(s) = s**3 - 14*s**2 - 13*s + 22. Give v(15). 52 Let s(b) = b**3 + 21*b**2 + 111*b + 5. Determine s(-11). -6 Let m(f) = f**3 + 10*f**2 - 54*f - 19. What is m(-14)? -47 Let v(i) = -i**2 + 122*i - 476. What is v(4)? -4 Let w(b) = -98*b - 497. Calculate w(-5). -7 Let j(r) = 12*r - 281. Give j(20). -41 Let b(t) = -t**3 - 18*t**2 - 60*t + 131. What is b(-6)? 59 Let r(d) = -d**2 - 23*d + 49. Determine r(-12). 181 Let u(d) = -5*d**2 + 48*d + 13. Determine u(9). 40 Let r(z) = -72*z - 3676. Calculate r(-51). -4 Let n(w) = 8084*w - 64667. What is n(8)? 5 Let n(a) = -21*a**2 - 120*a + 818. Calculate n(4). 2 Let x(n) = -2265*n**2 - 18115*n + 42. What is x(-8)? 2 Let s(x) = -31236*x + 93706. Calculate s(3). -2 Let a(g) = -4*g - 314. What is a(-83)? 18 Let b(w) = 3295*w - 3295. Calculate b(1). 0 Let x(m) = -m**3 - 26*m**2 - 44*m + 96. Give x(-24). 0 Let z(j) = -2*j**2 + 257*j - 2374. Determine z(10). -4 Let z(h) = -h**3 - 11*h**2 - 22*h - 8. Calculate z(-8). -24 Let p(h) = h**3 - 9*h**2 - 56*h - 4. Give p(-4). 12 Let n(a) = 2*a**2 - 188*a + 721. What is n(4)? 1 Let l(d) = 2*d**2 + 31*d + 213. Give l(-10). 103 Let l(z) = 117*z - 4338. Determine l(37). -9 Let d(o) = 745*o + 716. Give d(-1). -29 Let o(r) = 2*r**2 + 547*r + 27392. Calculate o(-66). 2 Let s(n) = -n - 246. What is s(67)? -313 Let j(s) = -19*s**2 + 17*s - 115. Determine j(6). -697 Let u(x) = 23*x - 126. What is u(4)? -34 Let i(z) = -21*z + 72. Determine i(6). -54 Let v(p) = -p**2 - 91*p + 74. Calculate v(-92). -18 Let z(l) = l**3 + 34*l**2 + 2*l + 58. What is z(-34)? -10 Let u(z) = -4*z**2 - 73*z + 22. Calculate u(-9). 355 Let z(o) = -152*o - 30. What is z(2)? -334 Let c(m) = -m**3 - 5*m**2 + 10*m - 7. What is c(-6)? -31 Let y(t) = -2*t**2 + 15*t + 11. Calculate y(6). 29 Let x(z) = 68*z**2 - 22*z + 38. Determine x(2). 266 Let k(v) = -v**2 + 56*v + 445. Calculate k(-7). 4 Let d(n) = 5*n**2 - 77*n - 12. Give d(16). 36 Let g(m) = -2*m**3 + 584*m**2 - 573*m - 2612. What is g(291)? 7 Let d(v) = v**2 + 313*v - 5610. Give d(17). 0 Let u(r) = -92*r - 1319. Determine u(-11). -307 Let u(d) = d**2 - 32*d - 207. What is u(31)? -238 Let j(h) = 895*h + 26856. What is j(-30)? 6 Let n(x) = -6*x**2 + 100*x + 396. Give n(20). -4 Let v(h) = -h**2 - 32*h + 184. Give v(5). -1 Let r(c) = -6*c**3 - 22*c**2 + 2*c + 29. What is r(-7)? 995 Let w(x) = 41*x**3 + 13*x**2 + 3*x + 1. What is w(-2)? -281 Let l(w) = 7*w - 9. Calculate l(-15). -114 Let h(p) = -2*p**3 - 20*p**2 + 18*p - 22. Determine h(-11). 22 Let m(g) = -67*g - 1971. Determine m(-29). -28 Let t(x) = 32*x - 870. Give t(29). 58 Let k(q) = 2*q**3 - 4*q**2 - 10*q - 14. Calculate k(0). -14 Let r(h) = h**2 - 197*h - 4142. Give r(-19). -38 Let h(k) = 437*k + 6544. What is h(-15)? -11 Let h(k) = k**3 + 31*k**2 + 59*k + 11. Determine h(-29). -18 Let q(n) = -11*n - 54. Calculate q(-1). -43 Let m(l) = 5*l**2 + 34*l + 90. What is m(-5)? 45 Let h(s) = 23*s + 423. Calculate h(-28). -221 Let u(v) = 2*v**2 - 15*v + 35. What is u(10)? 85 Let b(s) = -7*s + 64. Determine b(3). 43 Let q(j) = -j**3 + 22*j**2 + 36*j - 303. What is q(23)? -4 Let v(u) = -53*u - 1594. What is v(-28)? -110 Let l(x) = -3*x**3 - 58*x**2 + 49*x + 13. Give l(-20). -167 Let a(p) = 3923*p + 15696. Give a(-4). 4 Let a(r) = -2*r**3 - 99*r**2 - 476*r + 13. Give a(-5). 168 Let v(h) = h**2 + 29*h + 297. Give v(-35). 507 Let o(c) = -167*c - 1324. Give o(-8). 12 Let u(n) = -4*n**2 - 115*n - 601. What is u(-7)? 8 Let w(i) = -2*i**2 - 67*i - 71. Determine w(-35). -176 Let q(u) = u**3 + 41*u**2 - 184*u - 187. What is q(-45)? -7 Let n(y) = y**2 + 12*y + 46. Calculate n(-12). 46 Let q(k) = -3*k**3 + 29*k**2 - 122*k + 935. What is q(9)? -1 Let g(b) = 2*b**3 - 18*b**2 + 922*b - 8292. Calculate g(9). 6 Let y(o) = o**2 - 128*o + 4040. Determine y(71). -7 Let h(l) = -59*l - 890. Give h(-16). 54 Let z(j) = -j**3 + 7*j**2 + 23*j - 13. What is z(-3)? 8 Let r(q) = 239*q + 14339. Determine r(-60). -1 Let k(r) = r**3 - r**2 - 31*r - 2. Calculate k(-5). 3 Let f(x) = x**3 + 11*x**2 + 55*x + 236. What is f(-8)? -12 Let u(s) = s**3 - 143*s**2 + 693*s - 15. What is u(5)? 0 Let f(z) = -11*z**2 + 93*z + 7. Determine f(10). -163 Let m(t) = -27*t - 1692. Calculate m(-62). -18 Let y(p) = -p**3 + 103*p**2 - 204*p + 205. What is y(101)? 3 Let i(x) = -14*x - 34. Give i(-2). -6 Let r(k) = k**2 + 183*k + 4838. Give r(-32). 6 Let w(r) = -r**2 - 114*r - 2502. Calculate w(-26). -214 Let v(j) = 19*j - 372. Give v(22). 46 Let s(c) = 3*c**2 - 33*c - 84. What is s(-3)? 42 Let d(v) = -10*v**2 - 32*v - 20. Give d(-3). -14 Let g(f) = 329*f + 22391. Give g(-68). 19 Let c(p) = -159*p - 2868. Calculate c(-18). -6 Let b(y) = 442*y - 1804. Determine b(4). -36 Let f(o) = 171*o - 2043. Calculate f(12). 9 Let c(q) = -21*q**2 - 7*q - 8. Calculate c(-1). -22 Let j(p) = -2*p**3 + 9*p**2 + p - 17. What is j(7)? -255 Let x(o) = -53*o**3 + 3*o**2 - 2*o - 2. Give x(-1). 56 Let w(i) = i**3 + 9*i**2 + 33*i + 171. Determine w(-7). 38 Let v(j) = 145*j - 3399. Determine v(23). -64 Let l(p) = -p**2 + 17*p + 39. Give l(26). -195 Let j(d) = -367*d - 4403. What is j(-12)? 1 Let z(s) = -s**2 - 3223*s - 64069. What is z(-20)? -9 Let f(k) = -25*k**3 - 4*k + 2. Give f(-2). 210 Let k(f) = -f**3 - 9*f**2 + 339*f + 3057. Give k(-9). 6 Let m(t) = 1496*t - 130154. Give m(87). -2 Let a(y) = -13*y + 288. Determine a(25). -37 Let k(b) = b**3 + 100*b**2 - 93*b + 833. Give k(-101). 25 Let x(h) = h**3 + 9*h**2 + 37*h + 52. What is x(-2)? 6 Let t(u) = 35*u + 2024. Give t(-59). -41 Let w(m) = 6*m**2 + 506*m + 143. Determine w(-84). -25 Let x(q) = 209*q + 16285. What is x(-78)? -17 Let b(q) = -q**2 + 34*q + 159. Give b(39). -36 Let w(u) = -u**3 - 74*u**2 + 5194*u + 278. Calculate w(-118). 42 Let k(c) = -15*c - 484. Give k(-59). 401 Let a(y) = -62*y + 751. Determine a(12). 7 Let n(y) = -y**3 - 17*y**2 - 98*y - 202. Give n(-9). 32 Let v(j) = -j**2 - 223*j - 2131. Determine v(-10). -1 Let a(x) = -3*x - 106. Give a(-35). -1 Let g(y) = 11*y + 35. Calculate g(2). 57 Let p(t) = t**2 - 30*t + 61. Give p(5). -64 Let v(r) = -7*r - 105. What is v(-27)? 84 Let p(m) = -11*m - 181. Determine p(-14). -27 Let n(p) = p**2 + 19*p - 51. Determine n(3). 15 Let r(z) = 3*z - 125. What is r(18)? -71 Let v(q) = 5*q**2 - 143*q + 173. What is v(27)? -43 Let g(v) = 23*v**2 - 6*v - 8. Calculate g(-2). 96 Let j(k) = 471*k + 3226. What is j(-7)? -71 Let x(o) = o**3 + 9*o**2 + 22*o - 13. Determine x(-6). -37 Let x(w) = w**3 - 18*w**2 + 33*w - 17. Calculate x(16). -1 Let t(s) = 2*s**3 - 54*s**2 - 56*s + 59. What is t(28)? 59 Let x(p) = 120*p + 911. Determine x(-8). -49 Let h(i) = -i**3 - 122*i**2 + 123*i - 21. Calculate h(-123). -21 Let b(d) = -d**2 - 185*d - 3699. What is b(-23)? 27 Let b(p) = 5*p**3 - 11*p**2 - 35*p - 8. What is b(0)? -8 Let v(g) = 3*g**2 - 15*g + 9. What is v(6)? 27 Let y(l) = 29*l**3 + l**2 - 44*l - 46. Determine y(-1). -30 Let h(c) = 4*c**3 + 13*c**2 - 9*c - 28. What is h(-4)? -40 Let s(l) = 528*l - 16890. Determine s(32). 6 Let g(u) = 30*u + 21. Give g(18). 561 Let l(s) = s**3 - 10*s**2 - 109*s + 14. What is l(15)? -496 Let l(v) = v**3 + 26*v**2 + 43*v - 137. What is l(-24)? -17 Let u(s) = s**3 + 32*s**2 + 45*s + 428. Give u(-31). -6 Let m(d) = 10*d**3 - 2*
{ "pile_set_name": "DM Mathematics" }
, -5, -1, -8 in ascending order. -15, -8, -5, -1, 1, 2, 13 Put 2, 330133, -5, 7, 3, 1, -3 in ascending order. -5, -3, 1, 2, 3, 7, 330133 Put 450, 110, 7, 6, 5 in increasing order. 5, 6, 7, 110, 450 Sort 5, 2095, 2, 88, -4, 6 in decreasing order. 2095, 88, 6, 5, 2, -4 Put -3, -4, 4, -11164 in decreasing order. 4, -3, -4, -11164 Put -3, 0.235, 14296 in descending order. 14296, 0.235, -3 Put -1, -36615643, -4 in increasing order. -36615643, -4, -1 Sort -14, -2, 6, -31, 2, -4 in ascending order. -31, -14, -4, -2, 2, 6 Put 33494, -1/5, -9 in ascending order. -9, -1/5, 33494 Sort 51, -1, 3, -16, -4, -21. -21, -16, -4, -1, 3, 51 Sort -1, -16, 1, 14249, 0 in descending order. 14249, 1, 0, -1, -16 Sort -3, -1/6, 116716/295 in increasing order. -3, -1/6, 116716/295 Put 3, 0, -10, -330, -60 in descending order. 3, 0, -10, -60, -330 Sort 487, 1/4, -0.3, 3.457 in decreasing order. 487, 3.457, 1/4, -0.3 Sort 5, -803, 21247 in decreasing order. 21247, 5, -803 Sort 52, -1940, 220. -1940, 52, 220 Sort 4084.5526, -0.5, 0 in increasing order. -0.5, 0, 4084.5526 Sort -4, -77, -6277 in decreasing order. -4, -77, -6277 Put -23/4, 2, -2/17, -11/9, 412 in decreasing order. 412, 2, -2/17, -11/9, -23/4 Sort -5, -1/4, -12.7954, 2/25 in descending order. 2/25, -1/4, -5, -12.7954 Sort -0.4, -124, -1/526. -124, -0.4, -1/526 Sort -68, 321, 15, -3, -1. -68, -3, -1, 15, 321 Sort 4, 469978, 0 in descending order. 469978, 4, 0 Sort 3, -10, 180, 2, -8, -6 in increasing order. -10, -8, -6, 2, 3, 180 Sort 4, -34.71, 2, -4, 1372. -34.71, -4, 2, 4, 1372 Sort 15, 9, 5, 3, -1736 in increasing order. -1736, 3, 5, 9, 15 Sort 5, 294, -5, 0, -23 in descending order. 294, 5, 0, -5, -23 Put 6, -188527, -1/4 in increasing order. -188527, -1/4, 6 Sort -22, 199, 4, 7, -2, -4. -22, -4, -2, 4, 7, 199 Sort -1489, -0.32, -0.03, -0.5. -1489, -0.5, -0.32, -0.03 Sort -5, 8228, 0, -301 in descending order. 8228, 0, -5, -301 Put 1, 44/3, -24, 7, 3, 2/9, -1 in decreasing order. 44/3, 7, 3, 1, 2/9, -1, -24 Put -1, -4, 986, 7, -2, -3 in descending order. 986, 7, -1, -2, -3, -4 Put -0.04, -0.162, 192 in increasing order. -0.162, -0.04, 192 Put -10/759, 6, -1, 3/4 in ascending order. -1, -10/759, 3/4, 6 Sort 39/3229289, 1, 0.4. 39/3229289, 0.4, 1 Sort 323, 1113, -2, 4, 5 in decreasing order. 1113, 323, 5, 4, -2 Put 2, 2/3, -0.5, -29, -1.597, 1 in descending order. 2, 1, 2/3, -0.5, -1.597, -29 Sort -125, 3.8, 13, -2/3, 0.07. -125, -2/3, 0.07, 3.8, 13 Put -4, -2/7, 2, -107, 5, -3/26 in descending order. 5, 2, -3/26, -2/7, -4, -107 Put 4, 5, -4, -2, -3, -10, 24034 in descending order. 24034, 5, 4, -2, -3, -4, -10 Sort 0.5, -27, 577, 3762. -27, 0.5, 577, 3762 Sort 1286/7, -1/98, 0.05 in decreasing order. 1286/7, 0.05, -1/98 Put 4, 1443, 178 in decreasing order. 1443, 178, 4 Sort 3/7, 0, -11/16, -2.074, -4, -2 in increasing order. -4, -2.074, -2, -11/16, 0, 3/7 Sort -5141, 0, -38519. -38519, -5141, 0 Sort -90, -55.5, 16, -47 in increasing order. -90, -55.5, -47, 16 Sort -852, -4132, -2 in descending order. -2, -852, -4132 Put 1, 32265, 3, -2, -8 in descending order. 32265, 3, 1, -2, -8 Sort -280.86, -13, 70. -280.86, -13, 70 Sort -383.6, -8.79, -12/7. -383.6, -8.79, -12/7 Sort 0, -99865, -13.6 in descending order. 0, -13.6, -99865 Sort 464, -1551, -1, 16 in increasing order. -1551, -1, 16, 464 Sort -1, -51, -4725 in decreasing order. -1, -51, -4725 Sort 1, 2378, 5, 1290 in descending order. 2378, 1290, 5, 1 Sort -252814, 4, 0.043. -252814, 0.043, 4 Put 167749, -14, -2/15, 4/3 in descending order. 167749, 4/3, -2/15, -14 Sort 68/67, 4096, 6 in descending order. 4096, 6, 68/67 Sort 1954, -2/83, -7, -0.2 in decreasing order. 1954, -2/83, -0.2, -7 Sort -6, -7, 553, 2, -1, -2. -7, -6, -2, -1, 2, 553 Put 108, -2, 20/661, 4, 2/7 in increasing order. -2, 20/661, 2/7, 4, 108 Sort 126, -5, 3, -10233 in descending order. 126, 3, -5, -10233 Sort -396, -5, -1, -2, 3, 105, -4 in decreasing order. 105, 3, -1, -2, -4, -5, -396 Sort 3, -50, -182, 12, 5 in decreasing order. 12, 5, 3, -50, -182 Sort -55, -66, -627. -627, -66, -55 Sort 1, 3, -21639995 in descending order. 3, 1, -21639995 Put -659/2, 162, -2, -2/9 in descending order. 162, -2/9, -2, -659/2 Put -7636, -4536, 3, -2 in decreasing order. 3, -2, -4536, -7636 Put 0.2, -2.5, 19/605, -14/9 in increasing order. -2.5, -14/9, 19/605, 0.2 Sort -303, 14, 2/19, -46/7, -0.02 in decreasing order. 14, 2/19, -0.02, -46/7, -303 Sort -25.6, 4, 4/7, 942. -25.6, 4/7, 4, 942 Put 7141, 2, -2/23, -0.2, 3 in decreasing order. 7141, 3, 2, -2/23, -0.2 Sort -21, -6, -1136 in increasing order. -1136, -21, -6 Put -2, 242, -8, -1866 in ascending order. -1866, -8, -2, 242 Put 14, 4, 0, 285, 2, -16 in decreasing order. 285, 14, 4, 2, 0, -16 Sort -4, 1, 5758, 32, 3 in ascending order. -4, 1, 3, 32, 5758 Sort -23453620, -5, 2, 1 in increasing order. -23453620, -5, 1, 2 Put 2527, -1, -9, 136, 4 in decreasing order. 2527, 136, 4, -1, -9 Put 0.5, -155, 119, -2/7, -0.42 in decreasing order. 119, 0.5, -2/7, -0.42, -155 Put -1.8, -1085, 109 in increasing order. -1085, -1.8, 109 Sort 605, 30, 6, -73 in descending order. 605, 30, 6, -73 Put -4, 0, 3, 73, 4, 2, 104 in ascending order. -4, 0, 2, 3, 4, 73, 104 Sort -3650, -4, 5, 4, -2/59, -24, 2 in descending order. 5, 4, 2, -2/59, -4, -24, -3650 Sort 1008, 13, 155/4 in descending order. 1008, 155/4, 13 Sort 8/5, 3, 0, -6411 in increasing order. -6411, 0, 8/5, 3 Put -6/11, 3/2, 5/4, -415, 4, 30 in descending order. 30, 4, 3/2, 5/4, -6/11, -415 Sort 312, -5, 57, 4, 3 in ascending order. -5, 3, 4, 57, 312 Sort -10, 5, 2, 0, -8, -30 in increasing order. -30, -10, -8, 0, 2, 5 Sort -644, -21, -2, -3, 3, 4. -644, -21, -3, -2, 3, 4 Put 0, -5, 30, 1637, 2, 3 in decreasing order. 1637, 30, 3, 2, 0, -5 Put -0.039, 92, 4, -5, -4, -1, -73 in descending order. 92, 4, -0.039, -1, -4, -5, -73 Sort -71672, 58, 0.03 in increasing order. -71672, 0.03, 58 Put 19, -1, 0.1, 5/6, 1, -170, 2 in descending order. 19, 2, 1, 5/6, 0.1, -1, -170 Sort -4, 13277, -1, 4, -730, 0, 2 in ascending order. -730, -4, -1, 0, 2, 4, 13277 Put 4/91, 5848, -0.71, 4 in ascending order. -0.71, 4/91, 4, 5848 Put 45209, -5, 0 in ascending order. -5, 0, 45209 Put 3240, 0, 80, 11, 2 in increasing order. 0, 2, 11, 80, 3240 Put 6, -172, -5, 4, -3, 1, -9 in ascending order. -172, -9, -5, -3, 1, 4, 6 Put 10, -259, 4665 in increasing order. -259, 10, 4665 Sort 2, -0.15, 32107, -19. -19, -0.15, 2, 32107 Put 36.16, -30, 991 in decreasing order. 991, 36.16, -30 Put 6142, 0, 4, 819 in decreasing order. 6142, 819, 4, 0 Put -4, -0.5, 2/13, 11515 in ascending order. -4, -0.5, 2/13, 11515 Put -2/7001, -1/9, -72/43 in ascending order. -72/43, -1/9, -2/7001 Put -1, -5, 1, -2, 61, 14, 0 in decreasing order. 61, 14, 1, 0, -1, -2, -5 Put -8/9, 9/7, -2, 4, -1/3, 4/35 in increasing order. -2, -8/9, -1/3, 4/35, 9/7, 4 Put -0.1, -12729, -4/11 in increasing order. -12729, -4/11, -0.1 Put -1, 27, -6, -2562, 4, 5 in descending order. 27, 5, 4, -1, -6, -2562 Sort 1, -13, 5, -89/4, 3/5, -0.4 in descending order. 5, 1, 3/5, -0.4, -13, -89/4 Put 740, -325, -0.61 in decreasing order. 740, -0.61, -325 Put -652, 328, 2 in increasing order. -652, 2, 328 Put 2, 1/5, 2/5, -3, 27.532 in descending order. 27.532, 2, 2/5, 1/5, -3 Sort -2882, 0.3, 352, 0.05 in descending order. 352, 0.3, 0.05, -2882 Sort 121, -26108, -3 in ascending order. -26108, -3, 121 Put 0, -3, -5, -2, -48, 1, -1 in descending order. 1, 0, -1, -2, -3, -5, -48 Sort -7, 9, -0.5901, 0 in decreasing order. 9, 0, -0.5901, -7 Sort -122, -2, 4, 116, 3, -5, 0 in decreasing order. 116, 4, 3, 0, -2, -5, -122 Sort -125, -1, 4, 207, 219 in ascending order. -125, -1, 4, 207, 219 Put -1969, -2, -12, 58 in increasing order. -1969, -12, -2, 58 Sort 8826, 1, -1615 in ascending order. -1615, 1, 8826 Sort 10468028, -4, -4/3 in ascending order. -4, -4/3, 10468028 Sort 6272604, -6, 0 in increasing order. -6, 0, 6272604 Sort -0.5, 4, 1975640. -0.5, 4, 1975640 Sort -2, 5, 704, -1138, -1 in increasing order. -1138, -2, -1, 5, 704 Sort 78, 183, 2, -2, -9. -9, -2, 2, 78, 183 Put 13617, 1, 8 in increasing order. 1, 8, 13617 Put -3, 4, -5, -21.6, 3, 16 in descending order. 16, 4, 3, -3, -5, -21.6 Sort 2, 8945076, 1, -4. -4, 1, 2, 8945076 Sort -1/5, 17590, 409 in descending order. 17590, 409, -1/5 P
{ "pile_set_name": "DM Mathematics" }
mposite? False Suppose 2*z + 4*w = -4, z - 4*w - 2 - 26 = 0. Let b(a) = -2 + 3 + 29*a**2 + 2*a - a - z*a**2. Is b(1) a composite number? False Let v(p) = -2*p + 2. Let r be v(3). Let a = 6 + r. Suppose -a*q + 1482 = 4*s, 5*q = -0*q + 2*s + 3765. Is q prime? True Suppose -2*u + 1087 = -3*u. Let d = -568 - u. Is d a prime number? False Suppose 5219 = -90*u + 91*u. Is u a composite number? True Is 102088/21 + (-2)/6 prime? True Let j(m) = 2*m**2 + 5*m + 5. Let k be j(-3). Suppose k*u - 6319 = 8073. Is u composite? True Suppose 0 = 11*k + 15 - 48. Suppose -4*y - y + w + 7487 = 0, -y + k*w + 1503 = 0. Is y composite? True Let z(o) = o**2 + 13*o - 13. Let r(q) = 24*q. Let b be r(-1). Is z(b) a composite number? False Let d(k) = 31*k**2 + 21*k + 11. Is d(-9) a prime number? True Suppose 21*s = -26*s + 5154443. Is s a prime number? False Let l = 12 - 21. Let t be (-10)/(-45) - 14902/l. Suppose -5*m + t = 11. Is m a composite number? True Suppose 0 = 2*v - 3*q - 26464, 3*v - 5*q = 35598 + 4099. Is v prime? True Let r = 3 + 1. Suppose 0 = r*x - 0*x - 8. Suppose 0 = 5*i - 2*z - 493, -z - x*z + 182 = 2*i. Is i a prime number? True Let g = 10931 - 4428. Is g a composite number? True Suppose 0 = 5*u + 13 + 17. Let c be (-6)/2 + u/(-2). Suppose -898 = -c*d - 2*d. Is d composite? False Let w(t) = -631*t + 12. Let c(r) = -r - 1. Let a(s) = -c(s) + w(s). Is a(-5) a prime number? True Let u(i) = -i**2 + 4*i + 7. Let c be u(5). Suppose -c*h + 5 = -h. Suppose -b = -h*b + 5*q + 3076, -2*q - 1538 = -2*b. Is b composite? False Is (-5)/30*3*(2 + -44688) a composite number? False Suppose -7*h + 904 = -6*h. Is (h/(-16))/(1/(-2)) composite? False Suppose -17*f + 39*f = 80014. Is f a composite number? False Let m = -3875 + 30774. Is m composite? True Suppose 4*i - 3*q - 152707 = 0, -5*i - 36*q = -39*q - 190880. Is i a composite number? True Suppose 309 = g - 10*a + 8*a, g = a + 304. Is g composite? True Suppose 0 = 2*h - 8. Suppose -7*n - l = -2*n + 131, 4*n = h*l - 124. Is 2358/n*(-6)/4 prime? True Suppose 0 = 3*a + 5*t - 26, -5*t + 0 = -5*a - 10. Suppose -2882 = -3*q + k, a*k = -10*q + 5*q + 4785. Is q a composite number? True Let b = 30137 - 2364. Is b a prime number? True Let n(w) = -160*w - 16. Let s(o) = 161*o + 17. Let z(i) = -6*n(i) - 5*s(i). Is z(4) composite? False Let y = -3547 + 9984. Is y prime? False Let k = 6645 + -1426. Is k composite? True Suppose k - 211 = 5*q - 47, -q - 168 = -k. Let o be k + 0/(-4 - -3). Suppose -3*v + j = -155 - o, -3*v + 330 = j. Is v prime? True Is 18884/14*(-14)/8*-2 prime? True Let k be -2 + ((-4)/(-2) - -255). Let y be (6 + (-15)/(-6))/(2/16). Suppose -3*u = -a - y + 311, -k = -a - 3*u. Is a a prime number? False Let m(u) = u**3 - 11*u**2 - 11*u + 2. Let p be m(12). Let c = 10 - p. Is -2 - -2 - (c + -73) prime? False Suppose 17*i - 140 = 3*i. Suppose i*p - 6276 = -2*p. Is p prime? True Let a = -49 + 71. Suppose 0 = -3*r - a + 4. Is 206/4 + 3/r a composite number? True Is 129/(-172) - (-907)/4 prime? False Suppose 3*t = -47 - 121. Let q = t + 255. Is q a composite number? False Let u = -15 - -15. Let k(t) = -4*t + 38 - t**3 + 59 + 5*t + t**2 + t. Is k(u) composite? False Suppose 0 = -l + 5*g - 31, -4*l - 22 = g - 3. Let b be -291*(3 + l/3). Let v = b - -454. Is v prime? True Let a be (-116)/10 + (-9)/(-15). Let z(g) = -2*g**3 - 7*g**2 + 8*g + 26. Is z(a) a composite number? False Suppose 753 = 7*x - 4*x. Is x + 7 - (-1 - -2) prime? True Let g be (-2872)/3*(-897)/46. Let q be g/28 - (-8)/28. Let c = -400 + q. Is c a prime number? False Is ((-13)/(-26))/((-2175)/(-2174) + -1) a composite number? False Let q(p) = 0*p**2 - p**3 - 5*p + 13*p**2 - 2*p**2 - 9. Suppose -31 = -8*h + 33. Is q(h) a prime number? False Let o(g) = 18*g**2 - 5*g - 1. Let y(n) = -2*n - 4. Let a be y(0). Let t be (3 + a)/(2/8). Is o(t) prime? True Let w(m) = m**3 + 2*m**2 + 5*m - 5. Let g be (1*-1)/(5/(-20)). Is w(g) prime? False Let f(j) = -7*j**3 - 10*j**2 - 42*j - 28. Is f(-25) a prime number? True Let r(h) = 26*h**2 + 2*h + 1. Let f(m) = m - 7. Let j be f(6). Let q be r(j). Suppose 0 = a + 3*o - q, -a - o = -4*o - 13. Is a a composite number? False Let g(v) be the first derivative of v**4/4 + 2*v**3/3 + 3*v**2/2 - 2*v - 21. Is g(4) composite? True Suppose -4*c + 8*c = 12. Suppose r - 1151 = 4*b, 5*r - 1047 = -c*b + 4823. Is r a prime number? True Let n(l) = l**3 + 12*l**2 - 2*l - 8. Suppose -3*t - 5*i + 3*i - 19 = 0, 0 = i - 1. Is n(t) a prime number? True Let b(n) = 674*n**3 - 2*n**2 + 1. Let h = 35 + -34. Is b(h) a composite number? False Suppose -8*d = -4*d - 72. Suppose 3*z + d = 6*z. Is z/(-9) - 934/(-6) composite? True Let c(w) = 49*w - 87*w - 29 - 2*w**2 + w**2. Is c(-20) a composite number? False Let m = 7256 + -2445. Is m a composite number? True Let z = -23 + 37. Let s = -10 + z. Is (15/(-12))/(s/(-304)) a prime number? False Suppose 10*j - 24 = -4. Is (-12620)/(-44) - j/(-11) a composite number? True Let p(o) = 25*o**3 + 7*o**2 + 17*o - 26. Let w(l) = -13*l**3 - 4*l**2 - 9*l + 13. Let h(t) = -3*p(t) - 5*w(t). Is h(-6) a prime number? False Is ((-17943)/3)/(9 - 10) composite? False Suppose -k + 5*l + 1 = -3*k, 4*k - 5*l = 13. Suppose k*w - 8*w + 30 = 0. Suppose -g + w = -26. Is g a prime number? True Let t = -367 - -692. Is (-18)/(-27) + t/3 composite? False Is (-1)/2*4*(-5077)/2 prime? True Let s(b) = -2*b. Let t be s(-13). Suppose 19*q - t*q = -5579. Is q a composite number? False Suppose -u = 6 - 10. Suppose 92 = d - 93. Suppose 3*h - 8 = -w - 2*h, -5*w = -u*h - d. Is w a prime number? False Suppose 0 = r + 3*z - 2631 - 470, 2*z + 4 = 0. Is r composite? True Let m = 38 - 119. Let t = 52 + m. Is 1*t*5*-1 a composite number? True Let i(q) = -q + 635. Let t be (-5)/15 + 1/3. Suppose 0 = b - t*b. Is i(b) prime? False Suppose 74 + 98 = 2*v - 4*w, -350 = -4*v + 5*w. Suppose -2*q + v = 30. Let x = q + -8. Is x prime? False Let g(q) = 1 + 1 + 8 - 5*q. Let x be g(-9). Suppose -2*b + b + r = -x, r = -b + 61. Is b a prime number? False Let m = 44 + -88. Let p = 17 + m. Let b = p + 94. Is b prime? True Suppose -5*s - 32 = -5*x - 117, 2*x = s - 19. Is 1*3/(s/1255) a composite number? False Suppose 2*g - 4*p - 1708 = 0, -5*g - 2*p = 3*p - 4345. Suppose -4916 + g = -2*h. Is h a composite number? True Let b = -82 + 85. Suppose -3*m + 1273 = 2*n, -b*m + 2543 = 2*n + 2*n. Is n a composite number? True Let z = 14 - 14. Let r(j) = 2*j**2 + 35. Is r(z) a composite number? True Suppose -2*i = 4*z - 16, -4*i - 5 = -4*z + 11. Suppose 4*u - 3156 = -z*r - 20, 3*u = -9. Is r a composite number? False Let f = -27 + 39. Is (-2)/8 + 3519/f composite? False Let c be (-13 - -33)/(2/1517). Let w = -24782 + c. Is w/(-20) + (-4)/(-10) a prime number? False Suppose 8*a + 270 = -a. Is ((-5)/(a/(-694)))/((-2)/30) prime? False Is ((-2)/(-23) - 0) + (-23180622)/(-2346) a prime number? False Let d be (7/14)/((-1)/(-372)). Suppose 2*u = -u + d. Suppose f + 3 = u. Is f a prime number? True Suppose 9303 = 6*c + c. Let h = -892 + c. Is h prime? False Let q = -8 + 6. Let j be 21/(-14)*3/((-18)/(-16)). Is ((-58)/j)/(q/(-12)) a prime number? False Let q(v) = -v**2 + 12*v + 18. Let n be q(13). Suppose 6972 = 5*d + 3*z, n*z - 27 + 7 = 0. Suppose -3*x + d - 157 = -2*r, 3*x - 1265 = -4*r. Is x a prime number? False Suppose -4*o - 2*k + 31223 = k, -3*k = -3. Suppose -o = s - 6*s. Is s prime? False Let a(w) = w**3 - 2*w - 2. Let n be a(-2). Let b be -2*(-1431)/n + -3. Is (-3)/9 + b/(-9) a prime number? True Let j = 75 + -75. Suppose -4*d + 268 = -3*f, j*d - f = 5*d - 335. Is d composite? False Let h = -83 + 243. Suppose -3*y + 48 = -0*x + x, -4*y + 12 = 0. Let n = x + h. Is n composite? False Suppose 0 = -2*n - 0*n - 10. Let w be (-4)/n*(-30)/(-12). Suppose -w*h - 3*h = -1015. Is h a prime number? False Suppose -39123 = -22*p - 3065. Is p a composite number? True Let n(c) = 2*c**3 - 4*c**2 - 10*c - 3. Let k be n(5). Let i = -51 + k. Is i composite? True Is 2239 + (5 - 2*(-6)/12) a composite number? True Let j(s) = -28*s - 1. Suppose 3*a - 3*q + 15 = 0, -a + 1 - 3 = -2*q. Is j(a) a composite number? False Suppose -6*b + 8*b = 264. Let i = 175 + b. Is i composite? False Let o = -7070 - -14017. Is o composite? False Suppose 0 = -21*t + 7*t. Suppose t = -2*d - 68 + 1414. Is d a prime number? True S
{ "pile_set_name": "DM Mathematics" }
414 is divided by 60. 54 Calculate the remainder when 3376 is divided by 10. 6 What is the remainder when 439 is divided by 178? 83 Calculate the remainder when 55 is divided by 8. 7 Calculate the remainder when 1681 is divided by 37. 16 What is the remainder when 102 is divided by 12? 6 What is the remainder when 191 is divided by 185? 6 What is the remainder when 188 is divided by 175? 13 What is the remainder when 210 is divided by 179? 31 What is the remainder when 135 is divided by 17? 16 What is the remainder when 150 is divided by 24? 6 What is the remainder when 7221 is divided by 43? 40 What is the remainder when 638 is divided by 107? 103 Calculate the remainder when 608 is divided by 296. 16 Calculate the remainder when 109 is divided by 37. 35 Calculate the remainder when 1292 is divided by 645. 2 What is the remainder when 214 is divided by 5? 4 What is the remainder when 7993 is divided by 15? 13 What is the remainder when 419 is divided by 104? 3 What is the remainder when 30 is divided by 9? 3 What is the remainder when 1327 is divided by 38? 35 What is the remainder when 1561 is divided by 394? 379 Calculate the remainder when 274 is divided by 39. 1 Calculate the remainder when 7313 is divided by 11. 9 Calculate the remainder when 71 is divided by 68. 3 Calculate the remainder when 481 is divided by 71. 55 Calculate the remainder when 300 is divided by 16. 12 Calculate the remainder when 1830 is divided by 141. 138 What is the remainder when 741 is divided by 61? 9 Calculate the remainder when 1536 is divided by 97. 81 Calculate the remainder when 2913 is divided by 968. 9 Calculate the remainder when 799 is divided by 785. 14 What is the remainder when 96 is divided by 10? 6 What is the remainder when 116 is divided by 61? 55 What is the remainder when 70 is divided by 16? 6 Calculate the remainder when 2526 is divided by 32. 30 What is the remainder when 208 is divided by 55? 43 What is the remainder when 529 is divided by 76? 73 What is the remainder when 1363 is divided by 53? 38 What is the remainder when 645 is divided by 128? 5 Calculate the remainder when 2996 is divided by 9. 8 Calculate the remainder when 70 is divided by 12. 10 Calculate the remainder when 152 is divided by 51. 50 What is the remainder when 438 is divided by 114? 96 What is the remainder when 490 is divided by 84? 70 Calculate the remainder when 36 is divided by 10. 6 Calculate the remainder when 2940 is divided by 965. 45 Calculate the remainder when 97 is divided by 22. 9 What is the remainder when 93 is divided by 27? 12 Calculate the remainder when 207 is divided by 52. 51 What is the remainder when 526 is divided by 16? 14 What is the remainder when 17687 is divided by 14? 5 What is the remainder when 812 is divided by 383? 46 Calculate the remainder when 148 is divided by 132. 16 What is the remainder when 973 is divided by 80? 13 What is the remainder when 4691 is divided by 45? 11 What is the remainder when 3935 is divided by 112? 15 Calculate the remainder when 150 is divided by 52. 46 What is the remainder when 162 is divided by 53? 3 What is the remainder when 219 is divided by 11? 10 What is the remainder when 96 is divided by 22? 8 What is the remainder when 782 is divided by 369? 44 Calculate the remainder when 8064 is divided by 109. 107 What is the remainder when 181 is divided by 3? 1 What is the remainder when 1202 is divided by 28? 26 What is the remainder when 40 is divided by 12? 4 Calculate the remainder when 1251 is divided by 14. 5 Calculate the remainder when 250 is divided by 213. 37 Calculate the remainder when 279 is divided by 43. 21 Calculate the remainder when 383 is divided by 43. 39 What is the remainder when 3057 is divided by 33? 21 What is the remainder when 136 is divided by 20? 16 Calculate the remainder when 807 is divided by 81. 78 What is the remainder when 967 is divided by 17? 15 Calculate the remainder when 47 is divided by 19. 9 Calculate the remainder when 339 is divided by 111. 6 Calculate the remainder when 143 is divided by 7. 3 What is the remainder when 221 is divided by 22? 1 What is the remainder when 2913 is divided by 37? 27 Calculate the remainder when 61 is divided by 12. 1 What is the remainder when 1378 is divided by 139? 127 What is the remainder when 82 is divided by 6? 4 What is the remainder when 2462 is divided by 492? 2 What is the remainder when 117 is divided by 24? 21 Calculate the remainder when 20 is divided by 7. 6 Calculate the remainder when 42 is divided by 34. 8 Calculate the remainder when 521 is divided by 87. 86 Calculate the remainder when 1773 is divided by 71. 69 Calculate the remainder when 2661 is divided by 31. 26 Calculate the remainder when 214 is divided by 115. 99 Calculate the remainder when 137 is divided by 51. 35 What is the remainder when 118 is divided by 62? 56 Calculate the remainder when 2117 is divided by 20. 17 Calculate the remainder when 338 is divided by 30. 8 What is the remainder when 1481 is divided by 363? 29 Calculate the remainder when 182 is divided by 64. 54 Calculate the remainder when 689 is divided by 115. 114 Calculate the remainder when 212 is divided by 64. 20 What is the remainder when 74 is divided by 16? 10 What is the remainder when 150 is divided by 88? 62 Calculate the remainder when 271 is divided by 80. 31 What is the remainder when 1565 is divided by 63? 53 What is the remainder when 1991 is divided by 95? 91 What is the remainder when 112 is divided by 61? 51 What is the remainder when 194 is divided by 27? 5 Calculate the remainder when 248 is divided by 37. 26 What is the remainder when 304 is divided by 11? 7 Calculate the remainder when 3025 is divided by 13. 9 Calculate the remainder when 213 is divided by 44. 37 Calculate the remainder when 154 is divided by 68. 18 What is the remainder when 421 is divided by 24? 13 What is the remainder when 531 is divided by 111? 87 Calculate the remainder when 591 is divided by 294. 3 Calculate the remainder when 398 is divided by 58. 50 What is the remainder when 546 is divided by 23? 17 What is the remainder when 126 is divided by 35? 21 What is the remainder when 59 is divided by 32? 27 Calculate the remainder when 984 is divided by 322. 18 Calculate the remainder when 120 is divided by 40. 0 What is the remainder when 2250 is divided by 47? 41 What is the remainder when 2402 is divided by 79? 32 Calculate the remainder when 2990 is divided by 993. 11 What is the remainder when 2837 is divided by 43? 42 What is the remainder when 306 is divided by 26? 20 What is the remainder when 225 is divided by 21? 15 What is the remainder when 200 is divided by 22? 2 What is the remainder when 18 is divided by 14? 4 What is the remainder when 2240 is divided by 29? 7 Calculate the remainder when 44 is divided by 30. 14 Calculate the remainder when 235 is divided by 55. 15 Calculate the remainder when 77 is divided by 12. 5 What is the remainder when 9739 is divided by 16? 11 Calculate the remainder when 96 is divided by 45. 6 What is the remainder when 1406 is divided by 29? 14 Calculate the remainder when 1784 is divided by 47. 45 What is the remainder when 887 is divided by 99? 95 What is the remainder when 4025 is divided by 62? 57 What is the remainder when 161 is divided by 82? 79 Calculate the remainder when 385 is divided by 185. 15 What is the remainder when 531 is divided by 88? 3 Calculate the remainder when 2269 is divided by 35. 29 What is the remainder when 149 is divided by 22? 17 What is the remainder when 428 is divided by 13? 12 Calculate the remainder when 244 is divided by 62. 58 Calculate the remainder when 1310 is divided by 66. 56 What is the remainder when 158 is divided by 23? 20 What is the remainder when 28 is divided by 12? 4 Calculate the remainder when 1143 is divided by 44. 43 Calculate the remainder when 618 is divided by 180. 78 Calculate the remainder when 130 is divided by 128. 2 Calculate the remainder when 275 is divided by 173. 102 What is the remainder when 861 is divided by 859? 2 Calculate the remainder when 130 is divided by 36. 22 Calculate the remainder when 370 is divided by 57. 28 What is the remainder when 72 is divided by 30? 12 Calculate t
{ "pile_set_name": "DM Mathematics" }
late the greatest common factor of 18 and 2187. 9 What is the greatest common factor of 92734 and 8621? 233 Calculate the highest common factor of 4671 and 864. 27 What is the greatest common divisor of 11 and 2337599? 11 Calculate the greatest common factor of 46865 and 11845. 515 Calculate the highest common factor of 150956 and 52. 52 What is the highest common divisor of 12977 and 589? 19 Calculate the highest common factor of 15 and 51090. 15 Calculate the highest common divisor of 203 and 9037. 7 What is the highest common factor of 1176 and 1117592? 392 Calculate the greatest common factor of 2040 and 16080. 120 Calculate the greatest common factor of 747 and 354078. 747 Calculate the greatest common factor of 541026 and 43. 43 Calculate the highest common factor of 10 and 228595. 5 What is the greatest common divisor of 5808 and 81675? 363 What is the greatest common factor of 906 and 144? 6 Calculate the greatest common factor of 1328 and 400. 16 Calculate the highest common factor of 928275 and 150. 75 Calculate the greatest common divisor of 1243 and 261030. 1243 What is the greatest common factor of 96698 and 28? 14 Calculate the highest common factor of 936 and 24492. 156 What is the highest common divisor of 21 and 246015? 21 What is the greatest common divisor of 24253 and 5056? 79 Calculate the greatest common divisor of 82 and 66133. 41 What is the greatest common divisor of 12675 and 2100? 75 Calculate the highest common divisor of 46754 and 18236. 194 Calculate the greatest common divisor of 24122 and 623. 7 What is the greatest common divisor of 482 and 7953? 241 What is the highest common divisor of 17899 and 686? 7 What is the highest common divisor of 444 and 44? 4 Calculate the greatest common divisor of 14944 and 6176. 32 What is the highest common divisor of 153951 and 105? 21 What is the highest common factor of 15998 and 4256? 38 Calculate the highest common factor of 4650 and 7410. 30 What is the greatest common divisor of 742 and 2331046? 106 What is the highest common factor of 9 and 2447? 1 Calculate the highest common factor of 30 and 13758. 6 Calculate the highest common divisor of 148 and 90983. 37 What is the highest common factor of 36 and 7551? 9 Calculate the highest common factor of 10505 and 709565. 955 What is the greatest common divisor of 6289 and 7613? 331 Calculate the highest common divisor of 5492 and 16. 4 Calculate the greatest common divisor of 1709 and 2848903. 1709 Calculate the highest common factor of 244266 and 1584. 66 Calculate the greatest common divisor of 45445 and 7320. 305 Calculate the highest common factor of 4477 and 2904. 121 Calculate the greatest common divisor of 96 and 183744. 96 Calculate the greatest common factor of 12876 and 13764. 444 Calculate the greatest common divisor of 2640 and 240420. 60 What is the highest common divisor of 172299 and 1422? 237 Calculate the highest common factor of 32 and 3236. 4 What is the greatest common divisor of 7081 and 2231? 97 What is the greatest common divisor of 4170 and 110? 10 Calculate the highest common divisor of 14 and 218708. 14 Calculate the highest common factor of 156 and 226356. 156 What is the greatest common factor of 176 and 93742? 22 Calculate the greatest common divisor of 17118 and 16. 2 What is the greatest common divisor of 24823 and 103? 103 Calculate the highest common factor of 4404 and 384. 12 Calculate the highest common factor of 155 and 278132. 31 What is the greatest common factor of 56 and 58772? 28 Calculate the greatest common factor of 6715 and 1190. 85 Calculate the highest common factor of 217 and 192479. 217 What is the highest common factor of 872 and 320? 8 Calculate the highest common divisor of 4725 and 4275. 225 Calculate the highest common divisor of 777 and 1260627. 111 Calculate the highest common divisor of 5538 and 2414. 142 Calculate the greatest common factor of 451 and 127469. 41 Calculate the highest common factor of 184 and 10396. 92 What is the highest common divisor of 1325 and 24963? 53 Calculate the highest common factor of 10 and 26740. 10 What is the greatest common factor of 808 and 4646? 202 What is the highest common factor of 2165 and 72744? 433 Calculate the greatest common factor of 144940 and 60. 20 Calculate the highest common factor of 6698 and 1003. 17 What is the greatest common factor of 3017994 and 2172? 1086 What is the greatest common divisor of 779 and 11381? 19 Calculate the highest common divisor of 2501 and 40931. 61 What is the highest common factor of 762 and 150? 6 Calculate the highest common factor of 352272 and 861. 123 Calculate the highest common divisor of 189728 and 1573. 121 What is the greatest common factor of 153 and 768213? 153 What is the highest common factor of 1366901 and 381? 127 Calculate the highest common divisor of 114218 and 736. 46 What is the greatest common factor of 30 and 888615? 15 What is the highest common divisor of 872 and 264? 8 What is the greatest common divisor of 287459 and 7651? 1093 What is the greatest common divisor of 81136 and 528? 176 What is the highest common divisor of 120 and 13065? 15 What is the greatest common factor of 8873 and 31289? 467 Calculate the greatest common divisor of 16115 and 3245. 55 Calculate the greatest common divisor of 385 and 1866403. 77 What is the greatest common divisor of 498 and 726? 6 What is the highest common divisor of 417 and 33895011? 417 Calculate the highest common divisor of 918 and 1275561. 459 What is the highest common factor of 178728 and 1936? 88 What is the greatest common divisor of 38042 and 1005632? 1654 Calculate the highest common divisor of 13380 and 4160. 20 What is the greatest common factor of 230 and 8418? 46 Calculate the greatest common divisor of 234 and 11674. 26 Calculate the highest common divisor of 1876 and 20569. 67 Calculate the greatest common factor of 3058 and 38086. 278 What is the highest common divisor of 3980 and 2506604? 796 What is the highest common factor of 3400074 and 141? 141 What is the greatest common factor of 15408 and 1584? 144 What is the highest common factor of 5847270 and 145? 145 Calculate the highest common divisor of 13625 and 125. 125 What is the highest common factor of 334584 and 12096? 216 Calculate the highest common factor of 306 and 17282574. 306 Calculate the greatest common divisor of 2552 and 13684. 44 What is the greatest common factor of 3883 and 58951? 353 What is the greatest common factor of 235 and 5516155? 235 What is the highest common factor of 72 and 2779722? 18 Calculate the greatest common factor of 95 and 42199. 19 Calculate the highest common factor of 11904 and 256. 128 What is the highest common factor of 1824 and 2812? 76 What is the greatest common factor of 6920 and 720? 40 What is the highest common divisor of 51200 and 100? 100 Calculate the greatest common factor of 81 and 2529. 9 Calculate the highest common divisor of 230782 and 100717. 667 Calculate the highest common divisor of 7102 and 2680. 134 What is the greatest common divisor of 45 and 24183? 9 Calculate the highest common divisor of 5247492 and 816. 204 Calculate the highest common divisor of 76560 and 220. 220 Calculate the greatest common factor of 196651 and 39. 13 What is the greatest common divisor of 385 and 1410101? 77 What is the highest common divisor of 30739 and 17193? 521 What is the greatest common divisor of 86 and 34142? 86 What is the greatest common divisor of 737 and 5837777? 737 Calculate the highest common factor of 5344 and 31897. 167 Calculate the greatest common divisor of 254888 and 88. 8 What is the highest common divisor of 5422 and 6? 2 What is the greatest common factor of 1869 and 185654? 623 Calculate the highest common factor of 80 and 76784. 16 Calculate the greatest common factor of 808 and 12625. 101 What is the greatest common divisor of 1582905 and 15? 15 What is the highest common factor of 20075 and 6325? 275 What is the greatest common divisor of 36 and 871254? 18 Calculate the greatest common factor of 145 and 373955. 145 What is the highest common divisor of 11570 and 182? 26 Calculate the highest common divisor of 707304 and 156. 156 What is the greatest common factor of 2112 and 11
{ "pile_set_name": "DM Mathematics" }
2 Expand (-40 - 27 - 5*n + 20)*(3*n - 2*n - 3*n + 2*n + 3*n - 4*n + (-3*n + 10*n - 3*n)*(-4 + 1 + 5))*(-2*n + 1 - 1). 70*n**3 + 658*n**2 Expand (-39*y**4 - 505*y**4 + 0*y + 0*y + 862*y**4 + 840*y**4)*(121*y - 57*y - 38*y). 30108*y**5 Expand (-12*g**4 + 7*g**4 + 6*g**4)*(2 + g - 2)*((-5 + 5 - 2)*(-3 - 1 + 5) - 1 - 10 + 1). -12*g**5 Expand (6 + 1 - 3)*(3 + 1 - 2)*(31*h - 22*h - 16*h)*(-90 - 47 + 166). -1624*h Expand (369 - 369 - 383*m)*(8*m + 3 - 3)*(-2*m + 2*m - 2*m). 6128*m**3 Expand (2*u**4 + u**4 - 2*u**4 + (2*u**2 + 2*u**2 - 3*u**2)*(2*u - 2*u - 2*u**2))*((5 - 3 - 4)*(29 + 39 - 54)*(-2*u + u + 0*u) + 0*u + 2*u - 5*u). -25*u**5 Expand (3 - 3 - s**5)*(-8151 - 1684 + 3542 - 12427). 18720*s**5 Expand (-2*f**2 + f - f)*(-f - 2*f + 5*f) + (4 + 7*f + 3 - 9)*(186*f**2 - 154*f**2 - 677*f**2). -4519*f**3 + 1290*f**2 Expand (-1923 - 912 + 8835)*((-3 + 1 + 3)*(-u + 0*u + 3*u) + 0*u - u + 2*u). 18000*u Expand -2 - 2*m**3 + 2 + (-3*m**2 + 3*m**2 - 2*m**2)*(2*m - 3*m + 3*m) + 6*m**3 - 2*m**3 - 2*m**3 + 0*m**3 + m**3 + 0*m**3 - 116765 - 2893*m**3 + 116765. -2896*m**3 Expand (-2636*u - 11*u**2 + 2492*u - 3*u**2)*(-4*u - 4 + 4). 56*u**3 + 576*u**2 Expand ((1 + 2 - 4)*(-2*d - 2*d + 2*d) + 180*d - 466*d - 507*d)*(-2*d - d**2 + 2*d)*(0*d - 3*d - 2*d). -3955*d**4 Expand (2*a + 2*a**2 - 2*a + (-2 + 2 + 2*a)*(a + a - a) + 3 - 3 - 8*a**2 + (-a + 3*a + 0*a)*(-5*a - 2*a - a))*(-4*a + a - a). 80*a**3 Expand (-j**3 - j + j)*(j - 3*j + 0*j) + (-3*j**2 - 15*j + 15*j)*(3*j**2 + 0*j**2 - 6*j**2). 11*j**4 Expand (1 + 319*m**2 - 1678*m**2 - 2*m - 1250*m**2)*(m**2 + 0*m**2 + m**2). -5218*m**4 - 4*m**3 + 2*m**2 Expand (-1 + 2 + 1)*(0 + 38*r**2 + 0)*((2 - 2 + 1)*(2*r - 2*r - r)*(-4 + 3 - 1) - 5 + 5 - r). 76*r**3 Expand (-3*v - 2*v + 8*v)*(8674 + 22805 - 3156 + 21237 + 15417 - 11278). 161097*v Expand (-g - 69 - 70 + 127)*(0 + 1 - 5)*(-6 + 6 - 3). -12*g - 144 Expand j**2 - 19 + 7*j**5 + 19 + (3*j**3 - j**3 - 4*j**3)*(-4*j + 1116*j**2 + 5*j - 204*j**2). -1817*j**5 - 2*j**4 + j**2 Expand -3*b**3 - 2*b - 180*b**2 + 355*b**2 - 176*b**2 + 1 + (-b + 18 - 18)*(-6*b**2 + 3*b**2 + b**2). -b**3 - b**2 - 2*b + 1 Expand (-4*a**2 - 5*a**2 - a**2)*(9 + 5*a**3 - 9) + 201 - 200 + 2*a**5 + 4*a - a**2 + 11*a. -48*a**5 - a**2 + 15*a + 1 Expand 3*j + 0*j - j - 2*j + 3*j + 0*j + (-1 - 2 + 1)*(-4*j + 5*j - 2*j) + (-3 - 19 - 4)*(-46*j - j - 22*j - 4*j + 2*j + 0*j + (-3 + 3 + j)*(-1 + 2 - 2)). 1877*j Expand (-3*m**2 + 5*m**2 + 0*m**2)*(-122*m + 682*m + 583*m)*(m + 1 - 1). 2286*m**4 Expand -g**5 + 0*g + 0*g + (13 - 4 + 2)*(-g**5 + 127*g**5 + 18*g**5) + g**5 - g**5 - 3*g**5. 1580*g**5 Expand (-z**3 + z**3 - 4*z**3 - z**3 + 6*z**3 + 6*z**3 + (-5*z + 3*z + 4*z)*(5*z + 5*z**2 - 5*z))*(3 - 6 - 1). -68*z**3 Expand (-5*l + 2*l + l)*(-3 + 0 + 2) + 39817 - 39817 + 68*l. 70*l Expand (2 - 28 - 12)*(-x**2 - 2*x**2 + 0*x**2) + (-14*x - 38 + 38)*(-2 - 5 + 4)*(1 - 1 + 2)*(-x - 4 + 4). 30*x**2 Expand (-5*u + u + 2*u)*(3 - 2*u - 3) - 7053*u**2 - 11379*u**2 - 3 + 1 + 0 + 2. -18428*u**2 Expand (222 + 294 - 77)*(b + 2*b + b)*(6 - 3 + 0). 5268*b Expand (5 - 2 - 1)*(1227*r - 4567*r - 121*r - 4332*r). -15586*r Expand (17 - o**2 - 17)*(2*o**3 + o**3 + 2*o**3) - 2*o**4 + 3*o**5 + 2*o**4 + (o**3 - o**3 + o**3)*(o**2 - o + o) + 0*o**5 - o**5 + 3*o**5. o**5 Expand -12*t**5 + 4*t**5 - 29*t**5 + (-2*t + 6*t - 3*t)*(-3*t**3 - 2*t**4 + 3*t**3) + 6932*t**4 + 6927*t**4 - 111*t**5 - 13860*t**4. -150*t**5 - t**4 Expand 0*c + 0*c + 3*c**2 + (451*c - 1335*c + 571*c)*(-6*c - 74 + 74). 1881*c**2 Expand (1408*u - 661*u + 1573*u)*((-2 + 3 - 3)*(-4 + 1 + 1) + 1 - 1 - 2 + 0 - 1 + 0). 2320*u Expand (3*g - 5*g - 4*g)*(2 - 3 + 0 + (4 - 1 - 2)*(0 + 0 - 2) - 4 + 2 + 0). 30*g Expand -10314*m**5 - 3569*m**5 - 93*m**5 + (5 - 4 - 3)*(m**5 + m**5 - 3*m**5). -13974*m**5 Expand (3*r - 5*r + 4*r)*(-8*r - 49 + 49 + (r - 2*r + 0*r)*(-3 + 3 - 1) - 4*r + 0*r + 2*r)*(0 - 3 + 2)*(4*r - r - 2*r)*(0 + 0 + r) + 2*r**4 - 13*r + 13*r. 20*r**4 Expand (-2*d**2 + d**2 - 2*d + d)*(1683*d + 191*d - 322*d). -1552*d**3 - 1552*d**2 Expand (-3*d**2 + 0*d**2 + 2*d**2)*((-4 + 5 - 2)*(6 - 10 - 3) - 161 - 14 + 515). -347*d**2 Expand -16380*n**4 - 4 + 4 + 16103*n**4 + 2*n**4 + 2*n**4 - 3*n**4 + n**4 + n**4 - 3*n**4 + (n**4 - n**4 - 4*n**4)*(-3 + 2 + 2). -281*n**4 Expand (7026*w - 2 + 10923*w + 12183*w - 3234*w)*(1 - 1 - 2*w)*(-3*w**2 + 4*w**2 - 4*w**2). 161388*w**4 - 12*w**3 Expand (-4*b - b + 3*b)*(-55*b + 35*b + 28*b) + (0 + 0 + b)*(2*b - 10*b + 3*b). -21*b**2 Expand 8 - 4*j - 8 + (-3*j + 2*j + 2*j)*(-1 + 4 - 2) + (-2 + 0 - 1)*(-6 + 1 + 2)*(-5*j + 2*j - j). -39*j Expand (-3*q**2 + 3*q**2 - q**2)*(21*q**2 - 29*q**2 - 30*q**2) + (55*q - 113*q - 47*q)*(2 + 2*q**3 - 2). -172*q**4 Expand (-245*y**4 + 2848*y**4 + 750*y**4)*(-5*y - y + 5*y). -3353*y**5 Expand (-3*x + 2*x**2 + 3*x)*(-x - x**2 + x) + x**4 + x**4 - 4*x**4 - 2*x**4 - x + x + (-238 - 18*x + 238)*(0*x + 2*x + x)*(-x**2 + 5*x**2 - 5*x**2). 48*x**4 Expand -3*y**3 + 3*y - 3*y - 2*y**3 + 4262*y - 4289*y + y**3 + (y + 5 - 5)*(-3*y**2 - y**2 - y**2). -9*y**3 - 27*y Expand (-2 - 3 + 2)*(0*o**5 - 7*o**5 + 4*o**5) - 275*o**5 - 35 + 65 - 30. -266*o**5 Expand (-3811 + 224 - 84)*(-2*f**2 - f**2 + 6*f**2)*(-23 + 23 - 4*f). 44052*f**3 Expand (-72*y**4 - 321 + 321)*(1 + 0 + 0) + 4*y**3 - 5*y**3 - 27*y**4 + 39*y**4. -60*y**4 - y**3 Expand 3*i**5 + 0*i**5 - 6*i**5 + (3*i**5 - 3*i**5 + 2*i**5)*(2 - 4 + 0) + 318978 - 318978 + i**5 - 136*i. -6*i**5 - 136*i Expand 4*x**5 - x**5 - x**5 + (-80630*x + 422*x**4 + 80630*x)*(6*x + 7 - 7). 2534*x**5 Expand (2 + 3 - 4 + (1 - 1 - 3)*(-5 + 2 + 1))*(p + 2*p - 5*p)*(77 + 2*p - 38 + 90). -28*p**2 - 1806*p Expand (-206 + 206 - 7*j**3)*(1 - 2 - 1)*(2*j - j - 2*j)*(167*j - 817 + 817). -2338*j**5 Expand (-57*g - 199*g - 205*g)*(-4*g**4 - 2*g**4 + 4*g**4). 922*g**5 Expand 3*t + 3*t**3 - 2*t - 4*t**3 - 56*t**3 - 85*t**3 - 150*t**3 + (-3 + 3 - t**2)*(-2*t + 3*t - 2*t). -291*t**3 + t Expand (29*l**2 - 1160*l + 1160*l)*(0 + 0 - 2) + (0 - 2 + 3)*(-2*l**2 - 8*l**2 + 3*l**2). -65*l**2 Expand (-6*y**2 - 3*y**2 + 16*y**2)*(-19 - 415 - 1278*y**2 + 430). -8946*y**4 - 28*y**2 Expand 0*s**5 + s**5 - 3*s**5 + 454565*s + 638*s**5 - 454565*s + (s**2 - s**2 - 2*s**3)*(-s**2 + 8*s - 8*s). 638*s**5 Expand (473 + 127 - 44)*(-4 - 7*l**2 + 4)*(3*l + 1 + 1 - 4*l). 3892*l**3 - 7784*l**2 Expand (-10*f + 2*f + 0*f)*(f - 6*f + 0*f) + (-4*f + 3*f + 0*f)*(-26 + 26 + 21*f) - 2*f**2 - 3*f**2 + f**2. 15*f**2 Expand (1 - 4 + 2)*(0*d + d**4 + 0*d) - 1353*d**4 + 3393*d**4 - 1674*d**4 + (2*d + d - 4*d)*(2*d**3 - 2*d + 2*d) + 0 + 0 - d**4 + (0 + 0 + d**4)*(-4 + 2 + 1). 361*d**4 Expand (-11121*u + 5035*u + 5421*u)*(2*u**2 - 3*u**2 + 2*u**2). -665*u**3 Expand (-5 + 3 - 1)*(-5 - 9*v**4 - 13*v**4 + 36*v**4)*(1 - 3 + 4)*(-1 + 2 + 4). -420*v**4 + 150 Expand (-603*o - 28636*o**2 + 157*o + 146*o + 151*o + 149*o)*(3*o**3 - 3*o**3 - 2*o**3). 57272*o**5 Expand (-1 + 2 + 0)*(2*n**2 + 0*n**2 + 0*n**2) - 653*n + 1699*n + 3 - 1045*n + 340*n**2. 342*n**2 + n + 3 Expand (2*y - 3*y - 4*y)*(5*y + y + 0*y) - 13*y**2 - 13*y**2 - 12*y**2 - y**2 + y**2 + y**2. -67*y**2 Expand (-2*u + 2 - 2)*(-15298 + 40801*u - 7922*u + 15298). -65758*u**2 Expand (316642*j + 4398*j**2 - 316642*j)*(4*j + 0*j - 2*j)*(0*j + 0*j - 2*j**2). -17592*j**5 Expand (2 - 1 - 4)*(-2 - 2 + 5)*(-1379 + 1379 - 84*i). 252*i Expand (-128*o + 34*o - 5073 + 4921)*(-o + 0 + 0). 94*o**2 + 152*o Expand 1 - 6*f**4 + 17*f - 17*f + 3*f**4 - 2*f**4 + 3*f**4 + (-4*f**2 + 0*f**2 + 2*f**2)*(0*f**2 - f**2 - 12*f**2) + 0*f**4 - f**4 - f**4. 22*f**4 + 1 Expand (q + q + q)*((2*q + q - q)*(3 - 1 - 3) + q - 6*q + 2*q)*(-9 - 5 - 9 + 6 + 0 + 1 + (-1 - 3 + 3)*(2 - 1 + 0)). 255*q**2 Expand (628 - 131 - 172)*(1 + 2*k - 1)*(0 - 67 - 92)*(-2 - 3 + 3). 206700*k Expand -3*v**2 + v**5 + 3*v**2 + (4*v - v**3 - 4*v)*(5*v + 2*v**2 - 5*v) - 170*v**5 + 869*v**5 + 789*v**5. 1487*v**5 Expand 4 - 9592*p**3 + 2795*p**3 - 2 - 2 + 2*p**3 - p + p + (p**2 - p**2 - p**2)*(2 - 2 - 2*p) - 2 + 2 + p**3. -6792*p**3 Expand (-1 + 4 - 2)*(2 - 1 - 2)*(-4 - 2*f + 4 + (-1 - 1 + 1)*(5*f + 2*f - 5*f) + 2*f - 2*f - f + 2*f + 3 - 3) + (-6*f - 57*f - 9*f)*(0 + 5 - 2). -213*f Expand (-327 + 34*d + 327)*(-18*d**3 + 152 - 152)*(4*d - 3*d - 2*d). 612*d**5 Expand (-1 - 5 + 2*b**2 - 4*b**2)*(19*b - 1410*b - 936*b). 4654*b**3 + 13962*b Expand -6*f**2 - f**5 + 6*f**2 -
{ "pile_set_name": "DM Mathematics" }
, -2/17? 1/6 Which is the second biggest value? (a) -162 (b) 0.3 (c) -0.1 (d) -2 (e) -7 (f) -168 (g) 1/5 g Which is the third biggest value? (a) 0.05 (b) 8929 (c) -0.08 (d) -3/5 c Which is the seventh biggest value? (a) -1/2 (b) 6 (c) 0.3 (d) -7/4 (e) 1 (f) 5 (g) 275 d What is the fifth smallest value in 2/3, -32, 4, 0.3, -18, 19, 1/2? 2/3 What is the fifth smallest value in 1, -5, 91.1, 71/5, -1, -16/5, -2/3? 1 What is the seventh smallest value in -1/3, 4, -5, 5, -114, -4, -84/11? 5 What is the smallest value in 0.01, 5, -26/5, 4, -10, 1, 2.4? -10 Which is the biggest value? (a) 7088 (b) -44 (c) 65 a Which is the third smallest value? (a) 381 (b) -2 (c) 236 (d) 2 (e) 0.009 d Which is the smallest value? (a) 0.06 (b) 1 (c) -2/603 (d) -1/8 (e) 0.4 (f) -2/9 f What is the third biggest value in 4, 33175, -51, 1? 1 What is the second biggest value in 4, 16/9, 203, 117, 0.19? 117 What is the second smallest value in 2637255, 5, 2? 5 Which is the fifth smallest value? (a) 0.5 (b) -10 (c) 3 (d) -15 (e) 27 e What is the smallest value in 8650, 4, 9, -3? -3 Which is the fourth biggest value? (a) 39 (b) -2 (c) 0.419 (d) 5/8 b Which is the fifth biggest value? (a) -14 (b) 4 (c) -3/2 (d) 0.3 (e) 3/4 a What is the second biggest value in 1/7, -9/69175, -2.9, -3? -9/69175 What is the smallest value in 3, -149/40, -308? -308 Which is the second biggest value? (a) 19 (b) -16 (c) 13 (d) -138 (e) 1 c Which is the third smallest value? (a) -2/5 (b) 0.3 (c) 63 (d) 73/2 (e) -1/54 b Which is the seventh biggest value? (a) -4/23 (b) -1/7 (c) -0.4 (d) -9 (e) -94 (f) 0.5 (g) 2/35 e What is the fifth biggest value in -12, 3652, 2/3, 0.1, -2/3, -21? -12 What is the fifth smallest value in -2, -53, 3/2, -4, 122, -12.5? 3/2 What is the third biggest value in 96, -1279, 18? -1279 Which is the second smallest value? (a) 0.4 (b) 4 (c) 0 (d) 1/15 (e) -4.08 (f) 0.185 (g) 3/4 c What is the biggest value in -3/5, 47/179, -4432? 47/179 What is the smallest value in -0.5, 5, 0.31, 10, -3, -7/5, -4.8? -4.8 Which is the sixth biggest value? (a) -5/4 (b) 33 (c) 1 (d) 37 (e) -3/4 (f) -673 f What is the sixth biggest value in -0.35, -2/9, 746, 0, 238, 1, 5? -2/9 What is the biggest value in 3, -0.0505, -5, 55, 0.1, -0.2, 85? 85 Which is the fifth biggest value? (a) 0.5 (b) 25 (c) -5 (d) -3/17 (e) 30 (f) -91 (g) -3/5 g What is the biggest value in -40, 0.4, -7, -2/25, 0.06, -0.02? 0.4 What is the second smallest value in 3, 19.935, 1, -13.5? 1 Which is the third smallest value? (a) -0.2 (b) 14 (c) 41/29 b Which is the biggest value? (a) -13/3 (b) 55 (c) -1/4 (d) -6.3 (e) 16 b What is the fourth biggest value in 0, 0.054, -4, -0.4, 117, 2, 35? 0.054 Which is the smallest value? (a) 0.028 (b) 18/419 (c) 4.8 (d) 0.4 a Which is the third biggest value? (a) -4/9 (b) -230 (c) 3/110 (d) 99/10 (e) 0.4 c What is the smallest value in -21870, 5, -1/186? -21870 What is the second biggest value in 7/4, 77, 7, -267? 7 What is the smallest value in -3.9, 0.068, -797? -797 Which is the fifth smallest value? (a) -3/7 (b) 0.1 (c) 3/16 (d) 31.894 (e) 0 (f) 3 f What is the biggest value in 253, -0.4, 122, 2, -1/4? 253 What is the second smallest value in -18051, -0.4, 3, 0.5, -0.1, 0? -0.4 What is the biggest value in 11, 3/11, 10/47, 0.48? 11 Which is the smallest value? (a) -1850 (b) 1/5 (c) 85 a Which is the fifth smallest value? (a) -9659 (b) 5/6 (c) 0.1 (d) -15 (e) 2/3 b Which is the second biggest value? (a) 0.5 (b) 65 (c) -1/8 (d) -2725 a What is the second biggest value in 62/9, 18, -37.5? 62/9 What is the second smallest value in 21.2, 0.3, -22? 0.3 What is the third smallest value in -4, 4, 0.5, -14882136? 0.5 What is the biggest value in 1/7, -19512, 10, 5? 10 What is the second biggest value in -5, 0.4, 555306, -2? 0.4 Which is the smallest value? (a) 5 (b) -24 (c) 1.4 (d) -2/13 b Which is the fourth smallest value? (a) 0 (b) 225 (c) 3/2 (d) -6071 b What is the second biggest value in -0.5, -51.2, 1, 3/2, -1, -0.9? 1 What is the third biggest value in 2/17, 75, -0.4, 0.143, -2/51, 2/5? 0.143 Which is the fourth smallest value? (a) -1/31 (b) 2/171 (c) 2 (d) -147/5 c Which is the fourth smallest value? (a) 3 (b) 7 (c) 0.5 (d) -1 (e) 14 (f) -0.1336 a What is the second smallest value in -0.2, -1, 106, 0.1, -3389? -1 What is the second smallest value in 9/7, -6/11, -0.8, 2011? -6/11 Which is the second biggest value? (a) -2/17 (b) 1 (c) 1497.4428 b What is the sixth biggest value in -56, -9, 1/8, 9, -25, -4? -56 Which is the second biggest value? (a) 19.15 (b) -2/17 (c) 1/2 (d) -5 (e) -0.54 c Which is the third biggest value? (a) -166.6 (b) -132 (c) -5 (d) -2/181 b Which is the biggest value? (a) 0.6 (b) -1 (c) -877/3 (d) 1 (e) -1/6 d Which is the third biggest value? (a) 0.5 (b) -0.1 (c) -343/17993 b What is the fifth smallest value in -13, 10, -2.2, 69, -2? 69 Which is the sixth smallest value? (a) 2/9 (b) 18 (c) -4 (d) -0.3 (e) -4/15 (f) 0.2 (g) 3 g What is the third smallest value in -2, -1416, 10/3, -3, -5? -3 Which is the biggest value? (a) 106 (b) 1 (c) -9 (d) -0.176 (e) -0.1 a Which is the fifth smallest value? (a) 4 (b) 303 (c) 2615 (d) -5 (e) 45 c What is the fourth biggest value in 0.07, -4, -1/18, -0.5, 4, 351, 0.04? 0.04 Which is the biggest value? (a) -0.1 (b) -0.009 (c) 1/4 (d) -3 (e) 2 (f) -54.7 e What is the fourth smallest value in 1.9, 5, -59, 7392, -5? 5 Which is the second biggest value? (a) 1/4619 (b) 1 (c) -2 (d) -138 a Which is the biggest value? (a) 3/4 (b) 4 (c) 0 (d) 9 (e) 1/5 (f) 51 f What is the second smallest value in -2, -38, -5, 1/3, 33/2876? -5 Which is the fifth smallest value? (a) 3195 (b) -4 (c) 5 (d) 0 (e) -603 a Which is the second smallest value? (a) 39 (b) -5 (c) 365/9 a Which is the fifth smallest value? (a) 5 (b) 0.055 (c) -19/6 (d) -167 (e) 0.1 (f) 0.04 e What is the third biggest value in -17, -412, -2, 2, 4, 5, 0.3? 2 Which is the smallest value? (a) 4 (b) -16 (c) 1/450 (d) 18/215 b What is the smallest value in -1/3, -516, 0.1, 7561? -516 What is the second biggest value in 4, 7, 2.5, -23, 1, 0.19? 4 What is the third smallest value in -319, -14990, 0.1? 0.1 Which is the second smallest value? (a) -3 (b) -2/11 (c) 2/9 (d) 26 (e) 0.2 (f) 251 b What is the fifth biggest value in 1, 202, 4/3, -4.84, 2/157, 5, 4? 1 What is the seventh smallest value in -5, 16/475, -2/17, 4, 2/7, 0.2, 0? 4 Which is the second biggest value? (a) -2/11 (b) 1151.3 (c) -23/27 a Which is the sixth smallest value? (a) -0.019 (b) 32 (c) -11 (d) 2/23 (e) 1 (f) -10 (g) 8 g Which is the fourth biggest value? (a) -3 (b) 10 (c) 0.3 (d) -87475 d What is the third biggest value in -6/11, 4, 3, -0.1, 215, 1007? 4 Which is the smallest value? (a) -11 (b) 13 (c) -5.497 a Which is the biggest value? (a) -5/3 (b) 5892/13 (c) 1 (d) -7/6 b Which is the second smallest value? (a) 0.10053 (b) -0.2 (c) 2/63 c What is the second smallest value in 5, -0.07, -8, -197.914, -2/3, -5? -8 What is the biggest value in 0.35, 0.4, -11, -4, -3/4, 4662? 4662 What is the fourth smallest value in 235852, 0.2, -1.96, 1/2? 235852 Which is the sixth smallest value? (a) -0.1 (b) 11 (c) 0.4 (d) -3 (e) 84763 (f) 5 e Which is the fifth biggest value? (a) -489 (b) 4 (c) 0.3 (d) 4.6 (e) 5 (f) 33 c What is the biggest value in -10, 156, -0.3, 2/9, -2, -9? 156 What is the third smallest value in -13/5, -0.6, -1, 0.13, 6? -0.6 What is the smallest value in 1/7, 0.2, -538, 2, -5, 2/123? -538 What is the fifth biggest value in 4, -61118, -1, 3, 3/2? -61118 What is the fifth smallest value in 0.17, -5, 0.2, 96.6, 1.6? 96.6 Which is the third smallest value? (a) -14.2 (b) 2/21 (c) 10 (d) 13 (e) -1/4 (f) 0.09 f Which is the fourth smallest value? (a) -2/39 (b) -13 (c) -7 (d) -24 a What is the seventh biggest value in 48, 1/17, 0.8, 5, -3, -5, 789? -5 What is the sixth biggest value in -1/7, -0.1, 1329/4, -0.8, 2, -2/37, 0? -1/7 Which is the fourth biggest value? (a) -7836 (b) 0.5 (c) 0.037 (d) -0.3 a What is the fifth smallest value in 5, 1, -425535, 0.3, 2/7? 5
{ "pile_set_name": "DM Mathematics" }
be o(-9). Calculate the greatest common factor of d and y. 20 Suppose -5*w - 444 = -4*v, 76*v + w - 2658 = 55*v. Let q be ((-140)/(-2))/(1/3). What is the greatest common divisor of v and q? 42 Let b(z) = -20*z + 345. Let q(p) = -14*p + 230. Let o(h) = -5*b(h) + 8*q(h). Let g be o(8). Calculate the highest common divisor of g and 1. 1 Let k = 140 - 24. Suppose 2*m + 3*a = 138, -3*m + k = a - 91. Calculate the greatest common divisor of m and 3. 3 Let y = -604 - -656. Let u be (-13)/y + (2 - (-665)/4). Calculate the highest common divisor of 56 and u. 56 Let c be -18 + -9 + 47 - -18648. What is the highest common divisor of c and 52? 52 Let n be (51/(-12))/(2/(-192)). Suppose -5*w = 12*s - 15*s + 312, 0 = 4*s - 4*w - n. What is the greatest common factor of 330 and s? 33 Suppose -2*c - 168 = 66. Let r = c + 173. Let s(f) = f**2 - 3*f - 11. Let k be s(6). Calculate the highest common divisor of k and r. 7 Let j = -571 + 582. Suppose -13*y = j*y - 2040. What is the highest common factor of 5 and y? 5 Let r be (-286)/(-33)*(-42)/(-2). Let y(u) = 3*u + 20. Suppose 8*h = 3*h + 10. Let a be y(h). Calculate the greatest common divisor of r and a. 26 Let c = 207 + -195. Suppose 3*s = -s + 28. Suppose -4*t + s + 5 = 0. What is the greatest common divisor of t and c? 3 Let k be (-6 + 40/140)/((-2)/14). What is the highest common divisor of k and 18840? 40 Suppose 37 = 104*y - 102*y + 3*s, -11 = 3*y - 5*s. Calculate the highest common divisor of y and 3032. 8 Let f = -461 - -709. Calculate the highest common divisor of 1364 and f. 124 Let m(u) = 648*u + 4207. Let y be m(-6). What is the greatest common factor of y and 803? 11 Suppose 0 = -20*k + 18*k - 12. Let h be 3/((-3*k/(-135))/2). Let g = h + 84. What is the greatest common divisor of 429 and g? 39 Let z be -100*(-3)/(14 + -2). What is the greatest common divisor of 215 and z? 5 Let t = -70 + -73. Let v = 91 + t. Let c = v - -58. Calculate the highest common divisor of 8 and c. 2 Let y be (-152)/10*(-3)/(-6)*-15. Calculate the greatest common divisor of y and 6897. 57 Let r(l) = -42*l**2 + 305*l + 7. Let t be r(7). What is the highest common factor of 116 and t? 4 Let q(x) = -x**3 + 6*x**2 - 7. Let v be q(5). Suppose 73*m = 69*m + 4. Let h = m - -71. What is the highest common divisor of v and h? 18 Let p(b) = -b**3 + 6*b**2 - 4*b - 5. Let z be p(3). Let a be ((-12)/z)/((-18)/240). Suppose 0 = -c - c + 224. Calculate the greatest common divisor of c and a. 16 Suppose -52219*r = -52221*r + 426. What is the highest common divisor of r and 3? 3 Suppose -r + 3*x + 952 = -184, 5*x - 4527 = -4*r. Calculate the highest common factor of r and 88. 11 Let a = -26135 + 26250. Calculate the highest common divisor of a and 6095. 115 Let c be (-4380)/(-27) - (346/18 - 19). What is the greatest common factor of 864 and c? 54 Let c = 359 + -308. Let h(u) = -u**3 - 4*u**2 + 3*u + 5. Let d be h(-5). Suppose -3*j = 2*j - d. Calculate the highest common divisor of c and j. 3 Suppose 18 = 6*u - 3*u - 3*x, 0 = 5*u + 4*x + 6. Let n(y) = -5*y**2 - 61*y + 131. Let s be n(-14). What is the greatest common factor of s and u? 1 Suppose -5*d + 70 = -0*d. Let p(w) = -w**2 - 8*w - 15. Let j be p(-5). Suppose g + 14*g - 2310 = j. Calculate the greatest common factor of g and d. 14 Suppose -2*r = 32 - 48. Suppose -3*h + 78 = -10*w + r*w, -4*h = 4*w - 84. Let j = -3 - -21. What is the highest common divisor of h and j? 6 Let t = -4 - -719. Calculate the greatest common divisor of t and 4147. 143 Suppose 4*n - 31*a + 64 = -33*a, -2*a = 8. Let t be (-9805)/(-35) + 0 + 2/n. Calculate the highest common divisor of 112 and t. 56 Suppose 0 = 8*l + 2*l - 120. Suppose -5*k + l = -3*k. Suppose -i + k = 1. What is the greatest common factor of i and 35? 5 Suppose 435 = -14*c + 19*c. Suppose 184*b - 145 = 179*b. What is the highest common factor of c and b? 29 Let x(p) = p**3 + 8*p**2 + 12*p + 2. Let c be x(-6). Suppose 2*r + 5*n = 71, c*r = 5*n + 33 + 8. Calculate the greatest common factor of r and 35. 7 Let q(d) = -2*d**2 - 2*d**3 - 2 + 12 + 4*d**3 - 9*d. Let h be q(4). Calculate the highest common divisor of h and 14. 14 Let m = -2935 + 4147. Suppose -18*i + m = -30. Calculate the greatest common factor of 276 and i. 69 Let k(c) = 62*c**3 + c**2 - 2*c + 2. Let t be k(1). Let i = -58 + 100. Calculate the highest common divisor of t and i. 21 Let z be 480/225 - (-8)/(-60). Suppose z*q = 2, -5*i - 5*q = -q - 3614. Calculate the highest common factor of i and 38. 38 Let o(q) = q**2 - 4*q - 9. Let l be o(-6). Suppose 26*x = -7*x + x + 4352. Calculate the highest common factor of l and x. 17 Suppose -4*s = -2*z + 3 + 55, -3*z - 5*s = -65. Let v = -48100 - -48125. Calculate the greatest common factor of z and v. 25 Let d(g) = 92*g**3 - g**2 - 9*g + 36. Let y be d(3). Calculate the greatest common factor of y and 108. 108 Let r(a) = -2 + 1 - 1277*a + 1296*a - 4. Let g be r(5). Suppose t - 7 = 3. Calculate the greatest common factor of g and t. 10 Let y be 16/6*(-72)/(-84)*(-301)/(-2). Calculate the highest common divisor of 4 and y. 4 Suppose -6*a - 103 = -553. Suppose 3*g - a = -18. Calculate the greatest common factor of g and 304. 19 Suppose 0 = 2*r + g - 4, -2*g - 10 = -r - r. Let v = 128 - 71. Let x = v - r. Calculate the highest common divisor of x and 12. 6 Let p be 12 + 16/(-2) - (2 - -2). Let j = -1 - -6. Suppose 5*l + p*l = -j*o + 35, -9 = -o + l. Calculate the highest common divisor of 40 and o. 8 Let v = -4 + 57. Let w = 12724 - 11823. Calculate the highest common factor of w and v. 53 Suppose 0 = -6*d + 3*d + 99. Let g = -142 - -147. Suppose h + 2*h - 2*l - 604 = 0, -3*h + 569 = g*l. Calculate the highest common factor of d and h. 33 Let t be (1 + -11)*(4919/(-7) - (-9)/(-7)). Calculate the greatest common divisor of 330 and t. 110 Let i(q) be the first derivative of -7/2*q**2 - 10*q - 11/4*q**4 - q**3 + 30. Let l be i(-2). Calculate the greatest common factor of l and 64. 16 Suppose 2*u = -3*z + 1325 + 3441, 2*z = -12. Calculate the greatest common divisor of 56 and u. 8 Suppose -4*f = k - 1778 + 177, 5*k - 2020 = -5*f. Suppose -39*d + 1082 + 5587 = 0. What is the highest common factor of f and d? 57 Let t = 12138 + -12076. What is the greatest common factor of t and 2542? 62 Let l(k) = -7*k + 1997. Let r be l(60). What is the greatest common divisor of r and 19? 19 Suppose 0 = -4*s - 2*c + 180, -4*s + 7*s = -2*c + 134. Let a(y) = 12*y + 21. Let x be a(4). What is the greatest common divisor of x and s? 23 Suppose -13*z + 6*z + 121 = 4*z. Calculate the greatest common factor of 913 and z. 11 Suppose n = -7*n + 24. Let g be 4/n*(-6)/(-4). What is the greatest common divisor of 16 and g? 2 Let k be 2*((-654)/60 + 11) + 24598/10. What is the highest common divisor of 840 and k? 60 Suppose 5*k - 1195 = -5*l, -2*l + k + 510 = 26. Calculate the highest common factor of l and 4. 1 Let m(p) = p**3 + 9*p**2 - 9. Suppose 3*o - 8 = 4*o. Let r be m(o). Let c = 95 - r. Calculate the greatest common factor of c and 5. 5 Let i(z) = 231*z + 11122. Let r be i(-48). What is the highest common factor of r and 4267? 17 Let j = -11917 - -12983. What is the greatest common divisor of 286 and j? 26 Suppose 0 = 40*a - 45*a + 15. Let l be -4*(0 + 5)*a/(-3). Calculate the greatest common factor of l and 20. 20 Let k = 21 - 11. Let s(w) = -12*w + 6*w**2 - 3*w - 1 - 5 - 5*w. Let o be s(4). Calculate the highest common divisor of k and o. 10 Let x(k) = -2*k**3 - 25*k**2 + 15*k + 36. Let t be x(-13). Calculate the highest common divisor of t and 1805. 5 Let y(o) = o**3 + o**2 + 2*o + 6. Suppose 0 = 20*n - 9 - 51. Let q be y(n). What is the highest common divisor of q and 16? 16 Let f = -72 - -86. Suppose -f*r - 65 = -1731. Calculate the greatest common divisor of r and 68. 17 Suppose 0 = 90*u + 1115 - 9035. Calculate the greatest common divisor of u and 1364. 44 Suppose 0 = -67*g + 2732 + 484. What is the greatest common factor of g and 15216? 48 Let v(q) = -90*q - 176. Let g be v(-11). What is the greatest common factor of g and 185? 37 Suppose 23 = 4*t + 3*u, -28 = -4*t + 2*u - 10. Suppose -y + 4*s - 3 = -17, s = -t*y + 49. Calculate the greatest common factor of y and 4. 2 Let c(y) = 4779*y**3 + y**2 + 89*y - 90. Let s be c(1). What is the greatest common
{ "pile_set_name": "DM Mathematics" }
-1081*k**3*l**6 + 2*k**3*l**4 + 45*k**3*l**2 - 85*k**2*l**2 wrt l. -129720*k**3*l**3 + 48*k**3*l What is the second derivative of 3*k**3*q**3 + 43*k**3*q**2 + 2*k**3*q + 2*k**3 - k*q**3 - 164*k*q wrt q? 18*k**3*q + 86*k**3 - 6*k*q Differentiate 1871*f - 497 with respect to f. 1871 Differentiate -34*d*g**2*u**3 - d*g**2 - 62*d*u**3 - d*u - 4*g**4 + 2*u wrt g. -68*d*g*u**3 - 2*d*g - 16*g**3 What is the third derivative of 4*z**6 - 17*z**3 - 540*z**2? 480*z**3 - 102 Find the third derivative of -7*c*i*t**5 + 2*c*i*t - c*i - c*t**3 - 4*i*t**4 - 22*i*t**2 wrt t. -420*c*i*t**2 - 6*c - 96*i*t Differentiate 2*p**4 + 191*p**2 + 16. 8*p**3 + 382*p Find the first derivative of 2*g**3 + 710*g**2 + 2*g + 15563 wrt g. 6*g**2 + 1420*g + 2 What is the second derivative of 10*l**5 + 90*l**2*z - 11*l*z - 8*z - 2 wrt l? 200*l**3 + 180*z What is the second derivative of 368*n**2*q**2 + 8*n**2 + n*q**2 - 145*n + 11*q wrt n? 736*q**2 + 16 What is the second derivative of -b**4 + 3611*b**3*v - b - 3746*v wrt b? -12*b**2 + 21666*b*v What is the third derivative of -686*d**6 + d**2 - 19*d wrt d? -82320*d**3 Find the second derivative of -38*b**3*x**3 + 21*b**3*x - 384*b*x**3 + 3*b*x**2 wrt b. -228*b*x**3 + 126*b*x Find the third derivative of -91*o*p**2*r**3*y**3 - 5*o*p**2*y**2 - o*r**3*y + p**2*r**3*y**3 - p**2*r**3 + 9*p*r**3*y**2 wrt y. -546*o*p**2*r**3 + 6*p**2*r**3 What is the second derivative of 2*n**4 + n**3 + 53*n**2 - 2942*n wrt n? 24*n**2 + 6*n + 106 What is the first derivative of 36*q*s**2 + q + 2*s**4 + 17 wrt s? 72*q*s + 8*s**3 Find the second derivative of 606*o**2 + 63*o - 4 wrt o. 1212 What is the derivative of -5*d**2*g**3 - 2*d**2*g - 809*d**2 + 16*d*g wrt g? -15*d**2*g**2 - 2*d**2 + 16*d Differentiate -3*g*s**2 - 23*g*s + 2*g - s**2 + 179 with respect to s. -6*g*s - 23*g - 2*s What is the second derivative of 2*a*s**4 + 2*a*s**3 - 439*a*s**2 + 1234*a*s wrt s? 24*a*s**2 + 12*a*s - 878*a Find the second derivative of -47*l**2 + 3*l - 14. -94 Find the third derivative of 3*g**4*h**2*o**2 - 1063*g**3*h**3*o - g**2*h**3*o**2 - 2010*g**2*h*o - g*h**3*o wrt g. 72*g*h**2*o**2 - 6378*h**3*o What is the derivative of t*y**2 + 688*t*y + t - 645*y**2 + 5 wrt t? y**2 + 688*y + 1 What is the second derivative of 240*c*i**2 + c*i + 69*c - 2*i wrt i? 480*c What is the third derivative of 25003*p**3 + 297*p**2 - 20 wrt p? 150018 What is the second derivative of -16556*c*u**2 + 8*c*u + 282*c - 2 wrt u? -33112*c Differentiate -574*n**2*q - 3*n**2*y**2 - 12*n*q*y**3 + 10*n*y**3 - 2*y**2 - 5*y wrt q. -574*n**2 - 12*n*y**3 Find the third derivative of 3*g**3*i**2 + 47*g**2*i + 3*i**2 wrt g. 18*i**2 What is the third derivative of -36*m**6 - 3*m**5 + 31*m**4 - 255*m**2 + 8*m - 2? -4320*m**3 - 180*m**2 + 744*m Differentiate 3*f**2*i**3*p**2 + 5*f**2*p**2 + i**3*p**2 - 949*i**2*p**2 wrt f. 6*f*i**3*p**2 + 10*f*p**2 What is the second derivative of 297*b**2*h - 24*b*h + 2*b wrt b? 594*h What is the third derivative of 3*w*z**5 - 2*w*z**2 - 75*w*z - 2*w + 3*z**6 + z**3 wrt z? 180*w*z**2 + 360*z**3 + 6 Differentiate 6*h**4 + 71*h**2 + 1978. 24*h**3 + 142*h What is the second derivative of 656*b**3 - b - 167 wrt b? 3936*b What is the third derivative of -7*d*j**4 + 12*d - 6*j**5 - j**4 + 3*j**2 + 4 wrt j? -168*d*j - 360*j**2 - 24*j Find the first derivative of -f**2*g**2 + f**2*g + 24*f**2 + 188*g**2 wrt f. -2*f*g**2 + 2*f*g + 48*f Find the first derivative of -1697*y**4 - y**3 + 2*y**2 - 6656 wrt y. -6788*y**3 - 3*y**2 + 4*y Find the third derivative of 44*h**5 + 88*h**2 + 1 wrt h. 2640*h**2 What is the third derivative of 9706*u**3 - u**2 + 517*u wrt u? 58236 What is the second derivative of -14148*v**2 - 9094*v wrt v? -28296 What is the derivative of 43*k**2*r*z**3 + 2*k**2 - 2*k*r*z**2 - 3*r*z**3 + 11*z**3 wrt k? 86*k*r*z**3 + 4*k - 2*r*z**2 Find the second derivative of -137*q**2*r**5 - 2*q**2*r**3 + 10*q**2*r - 93 wrt r. -2740*q**2*r**3 - 12*q**2*r Find the second derivative of -154*f**2*q**3*v + 3*f**2*q**2*v**2 + f**2 - 41*f*v - 7*q**3*v**2 - 2*q**3 wrt f. -308*q**3*v + 6*q**2*v**2 + 2 What is the second derivative of 353*i**5*u**2 - 2*i**4*u**2 - 11*i*u**2 - 9*i*u + u**2 wrt i? 7060*i**3*u**2 - 24*i**2*u**2 Find the second derivative of -1417*s**4 - 12*s + 17. -17004*s**2 Find the second derivative of -162*x**2 - 511*x. -324 Find the second derivative of -2*r**4 + 3*r**2*t - 2*r**2 - 16*r*t + 2*r + 2 wrt r. -24*r**2 + 6*t - 4 What is the third derivative of 2*s**3*t**4*y - 120*s**3*t**3*y + 2*s**3*y - 100*s*t**2 + s*t*y wrt t? 48*s**3*t*y - 720*s**3*y What is the derivative of -713*c - 853 wrt c? -713 What is the third derivative of -i**3*t**3 - 2*i**3*t - i**2*t**4 + 6*i**2*t**3 + t**2 - 2*t wrt t? -6*i**3 - 24*i**2*t + 36*i**2 Find the third derivative of j*w**3*x**3 + j*w**2*x**3 + 2*j*w**2 - j*w*x**3 - 3*j*w*x + 2*w**3 + 9*w**2*x**2 wrt x. 6*j*w**3 + 6*j*w**2 - 6*j*w Find the third derivative of 205*a**5 + 49*a**2 + 2*a. 12300*a**2 What is the derivative of 321*d**3*g**2*i**2 - 19*d**3*i**2 + 8*d**3*i - 3*d*g**2*i**2 wrt g? 642*d**3*g*i**2 - 6*d*g*i**2 What is the derivative of b**2*u*z - 11*b**2*u - 80*b**2*z - b**2 + 4*b - 3*u*z wrt z? b**2*u - 80*b**2 - 3*u Find the third derivative of -3*j**3*k**3*q**3 + 15*j**3 + 17*j**2*k**2*q**3 + 5*k**3*q**3 + k**2*q**2 wrt k. -18*j**3*q**3 + 30*q**3 Differentiate 22043*y**3 + 20957 with respect to y. 66129*y**2 Find the second derivative of 6*g*o**3*w + 2*g*o**2*w**2 - 143*o**3*w**2 + 2*o*w**2 - 1221*o*w - 2*w**2 wrt w. 4*g*o**2 - 286*o**3 + 4*o - 4 What is the second derivative of 5*f**2*o**3*u - 60*f**2*o**2*u**2 - f**2 + 2*f*o**3*u**2 + 27*f*o*u**2 - f*u**2 wrt f? 10*o**3*u - 120*o**2*u**2 - 2 What is the second derivative of -9*a**2*i**3 - a**2*i**2 + 3*a**2*i*o + a**2*o + a*i**3*o + 5*i*o wrt i? -54*a**2*i - 2*a**2 + 6*a*i*o Find the first derivative of 3*n**3 + 18*n**2*p - 61*p wrt n. 9*n**2 + 36*n*p What is the third derivative of 11*g*w**5 - 92*g*w**4 + 28*g + 7*w**2 wrt w? 660*g*w**2 - 2208*g*w What is the third derivative of 6*c**6 + 2*c**5 - 441*c**3 - 478*c**2? 720*c**3 + 120*c**2 - 2646 What is the first derivative of 26614*k**2*l + 18060*k**2 wrt l? 26614*k**2 Find the third derivative of -h**4 + 54*h**3 + 984*h**2. -24*h + 324 Differentiate 2*j*k**2 - 4*j - 7278*k**2 + 270 with respect to k. 4*j*k - 14556*k What is the third derivative of 426*j*w**3 + 11*j*w**2 - 2*j*w + 2*j + 7*w**3 - 28*w**2 wrt w? 2556*j + 42 Differentiate 16*i**3*y**2 + 2*i**2 - 2*i*y**3 + 2*y**3 with respect to i. 48*i**2*y**2 + 4*i - 2*y**3 Differentiate 63*i*t**3*x**2 - 6*i*t**3 - 2*i*t + 158*t**3*x**2 + 3*t**3*x - t**2 - t with respect to i. 63*t**3*x**2 - 6*t**3 - 2*t Find the second derivative of 2*w**2*x**3 + 43*w**2 - 108*w*x**3 + 4*w - 2*x wrt x. 12*w**2*x - 648*w*x What is the second derivative of 4814*m**3 + 2*m + 1861? 28884*m What is the third derivative of -6*j**3*t**3 - j**3 + 5*j**2*t**2 - 18*j**2 + 1141*t**5 - t**2 wrt t? -36*j**3 + 68460*t**2 Find the second derivative of -5*l*m**2*o**2 + l*m**2 + 5*l*m*o**2 + 25*l*m - 5*l*o - 2*o**2 wrt o. -10*l*m**2 + 10*l*m - 4 Find the second derivative of p**2*q**2*u + 2*p**2*q**2 - 31*p**2*u**2 - 69*p*q*u**2 - 4*p*q - q**2*u**2 wrt p. 2*q**2*u + 4*q**2 - 62*u**2 Differentiate -5*j**2*p**2 + 88*j**2 - 84*j*p**2 + j - 2*p - 3 wrt p. -10*j**2*p - 168*j*p - 2 What is the second derivative of 7*o**4 + 10*o**2 + 11*o + 3 wrt o? 84*o**2 + 20 What is the first derivative of o**4 + 197*o**2 + 980 wrt o? 4*o**3 + 394*o What is the second derivative of -163*h*t**5 + 4*h*t**4 - 2157*h*t wrt t? -3260*h*t**3 + 48*h*t**2 Find the third derivative of 289*z**3 + 12*z**2 + 1. 1734 What is the second derivative of 102*x**5 - 1001*x wrt x? 2040*x**3 Find the third derivative of -35*y**4 - 26*y**3 + 1485*y**2 wrt y. -840*y - 156 Find the second derivative of 685*d**3*s**3 - 5*d**3 - d**2*s**2 - 1987*d**2*s wrt s. 4110*d**3*s - 2*d**2 What is the first derivative of 4874*s**3 - 2654 wrt s? 14622*s**2 Find the first derivative of 8*a*d**2*q*x + 189*a*d*x + 6*a*q + 2*a*x**2 - 4*d**2 - 2*q*x**2 wrt q. 8*a*d**2*x + 6*a - 2*x**2 Find the second derivative of -107*k**4*m - k**2 - 54*k*m - 3*k wrt k. -1284*k**2*m - 2 What is the third derivative of 275*w**6 - 34*w**2 - 5 wrt w? 33000*w**3 Find the sec
{ "pile_set_name": "DM Mathematics" }
r(i) = -i**3 - 3*i**2 - 2*i. Suppose 5*x - 2 - 43 = 0. Suppose x = -0*q - 3*q. Let k be r(q). Solve -b + k*b + 10 = 0 for b. -2 Let t(n) = -20*n + 1. Let u be t(-1). Solve -4*i = -1 + u for i. -5 Suppose -4*j = 8, -2*j - 32 = -0*i - 4*i. Let n(z) = z**3 - 8*z**2 + 8*z - 4. Let a be n(i). Solve -7 = a*f + 5 for f. -4 Suppose 3*o + 39 = 2*d + 4*o, -o = 3*d - 56. Solve 3*z - d + 14 = 0 for z. 1 Let m = -1 + 5. Suppose 0 = 5*h - m*r - 11 - 1, 12 = -3*h - 4*r. Suppose 4*o + 2*v - 80 = h, 100 = 2*o + 3*o - v. Solve o = -5*x + x for x. -5 Suppose m = 2*m - 6. Let x(w) = 11*w - 5. Let i(q) = -1. Let o(s) = m*i(s) - x(s). Let y be o(-1). Solve y = -4*t + 2 for t. -2 Let o(b) = b + 2. Suppose 28 = -4*s - 4*v, 2*s + v = 3*v - 2. Let z be o(s). Let h be (z - 0)/(1 + -2). Solve -n - h = n for n. -1 Let s(f) be the second derivative of -f**4/12 + 5*f**3/3 + f**2 + 3*f. Let n be s(10). Let d = n + 1. Solve d*m + 0*m = 9 for m. 3 Let w(v) = v**3 - v + 3. Suppose -2*x + x = 0. Let f be w(x). Solve 8 + 7 = -f*n for n. -5 Let s(l) = -l**3 + 7*l**2 + 2*l - 11. Let p be s(7). Solve 1 = 4*u - p for u. 1 Let m(p) = -p + 1. Let f be m(3). Let g be -2*(0 + 2/f). Suppose -10 - g = -3*u. Solve -u*s + 18 = 6 for s. 3 Let l = -6 + 9. Let i be 2/(-3) - (-2)/l. Let y be 1/1 + 0 + 3. Solve 0*k - y*k + 20 = i for k. 5 Let s(v) = v. Let z be s(0). Suppose -3 = -i - z. Solve -3 = -i*y + 3 for y. 2 Let w = 2153 - 1033. Suppose -d + 6*d = w. Let i be d/22 - (-4)/(-22). Solve n = -n - i for n. -5 Let l be 34/10 - 12/30. Solve l = 4*q - 9 for q. 3 Let x be (6/(-2)*1)/(-1). Let i(z) = x*z**2 - 11*z - 4*z**2 - 4 - 1. Let h be i(-10). Solve -2*q + h = -5 for q. 5 Suppose 5*n - 4*h + 1 = 0, 5*n + 2*h - 17 = 2*n. Suppose o = -0*o - n. Let p = o + 3. Solve -5*l + 10 + p = 0 for l. 2 Suppose 0 = 4*d - 4*w + 8, 0*d + 4*d - 16 = -2*w. Let p be ((-18)/4)/(-3)*6. Solve -d*x + 1 = p for x. -4 Let v = -5 + -9. Let x = 14 + v. Solve x = -6*z + z for z. 0 Let p be (2/1)/(2/3). Suppose -p = -4*m + 3*m. Solve m*o = o - 6 for o. -3 Let f(s) = -s - 1. Let r be f(-7). Suppose 0 = r*j - 4*j. Solve -1 + j = -n for n. 1 Suppose -h = -4*h + 12. Suppose 0*q - 4 = h*q. Let d(i) = 5*i**2 + i. Let w be d(q). Solve -3*n + w = -2 for n. 2 Suppose 4*q = 2 + 6. Suppose o = q*m + 10 + 2, 2*m + 20 = 5*o. Solve n = 3*n - o for n. 1 Let a be -3 - 3/6*-6. Solve a = -6*x + 3*x + 9 for x. 3 Let s be 0/(-4*2/(-4)). Suppose -3*l + 0*l = s. Solve l*h = -h for h. 0 Let c(m) = -m**2 - 8*m - 6. Let q be c(-7). Solve -j = -4 - q for j. 5 Let z(t) = -3*t - 16. Let o be z(-6). Solve 7*m - 5 = o*m for m. 1 Suppose 4*p = -v + 1, 12 = -7*v + 2*v - 3*p. Let s be -7*3*v/21. Solve -s*m - 2*m = 10 for m. -2 Let l = 35 + -31. Solve 5*j = j - l for j. -1 Let z(u) = -3*u**3 + 31*u**2 - 8*u - 17. Let x be z(10). Let y = -15 + 21. Solve y*l + 15 = x*l for l. -5 Suppose -y + 2*i + 5 + 2 = 0, -5*y + 35 = -2*i. Solve y*g + 25 = 2*g for g. -5 Suppose 5*t + 5*r - 115 = 0, 2*r + 18 = t - 2*r. Suppose t*k = 26*k. Solve 4*u - 8 = -k*u for u. 2 Let k be 0/1 - -2 - -1. Suppose -8*q - 1269 = -1397. Solve k*m - q = -m for m. 4 Let d = -18 + 29. Solve 5*p + d = -14 for p. -5 Let o = -16 + 11. Let n = o - -11. Solve 5*h = 4 + n for h. 2 Let g(h) be the first derivative of -h**3/3 - 3*h**2/2 - 2*h + 2. Let l be g(-2). Solve t + 1 + l = 0 for t. -1 Let u = -57 + 57. Solve u + 5 = -z for z. -5 Let l be 4/6 + (-70)/(-21). Suppose l*v = v + 6. Solve -4*q = -v*q - 10 for q. 5 Let r be (-12)/(-4)*5/(-3). Let o = r - -8. Suppose 0 = t - o + 1. Solve -2*g + 2 = -t for g. 2 Let g(b) = 4*b**2 + 2*b - 2. Let i be g(-2). Suppose -3*l + i = -l. Suppose -l*p + 0 + 5 = 0. Solve -5*r + 4 = -p for r. 1 Let o(a) = 2*a - 6. Let c(f) = -6*f + 19. Let y(x) = -6*c(x) - 17*o(x). Let z be y(9). Solve 2*p = z*p for p. 0 Suppose 3*x = -x - 24. Let d be (-9)/(1 + 15/x). Let w = d + 2. Solve -w - 17 = 5*g for g. -5 Let f = -28 + 39. Let x be ((0 - f) + -1)*-1. Suppose -40*u = -37*u. Solve -h - 3*h - x = u for h. -3 Suppose -14 = -2*v - 0*v - 4*n, -10 = -2*v - 2*n. Let r be 10*(4/8 - 0). Solve v + 2 = -r*k for k. -1 Let h be (-66)/18*-1*3. Suppose 0 = -3*i - 2*o + 12, -3*i - 3*o + 4 = -h. Suppose 0 = -i*b + 5*b - 6. Solve -r = b*r - 6 for r. 2 Suppose 5*v = 66 + 54. Suppose 3*h - v = -0*h. Suppose 0 = 3*k - h*k + 40. Solve 4*q + 0 = -k for q. -2 Suppose 0*j = j. Solve j = -4*y - y for y. 0 Let l(j) = -2*j + 12. Let u be l(6). Solve u*c = -5*c for c. 0 Let f be 0*(-1 - 1/(-2)). Let x = 2 + f. Let s = -31 - -43. Solve x*t + s = -t for t. -4 Let l = -5 + 10. Suppose -4*q = -l*q + 5. Suppose q = v - 2*u, u + 1 = -0*u. Solve -v*t = -2*t + 3 for t. -3 Suppose -4*z = z - 20. Suppose 0 = 5*u - 7 + 2, 4*f + 2*u - 34 = 0. Suppose 0 = -h - 3*h + f. Solve -h*v + z = -v for v. 4 Let s = 20 + -8. Suppose 8*f - 16 - 8 = 0. Solve -f*c + 6*c = -s for c. -4 Let a = -8 + 4. Let c(n) = -n - 4. Let g be c(a). Suppose -x + 3 = -g. Solve 1 = x*m + 7 for m. -2 Let v(f) = -2*f**2 - 4*f + 1. Let r be v(-3). Let d(h) = -3*h - 8. Let a be d(r). Let s be (1*-1)/(-3 - -2). Solve -a = -2*x + s for x. 4 Let r = -1 - -11. Let g = 55 + -52. Solve g*y - r = -4 for y. 2 Let w be ((-6)/9)/((-4)/(-138)). Let q = -13 - w. Solve -2*g = q - 2 for g. -4 Let s = 26 - 5. Let x = s - 16. Solve 22 + 3 = -x*b for b. -5 Let c be 10/3*(-1 + 7). Suppose 0 = f + 4*f + c. Let p = f + 4. Solve -3 = -3*u - p for u. 1 Let p = 17 - 13. Solve -c - p*c - 10 = 0 for c. -2 Suppose 4*i - 1 = -3*l - 2, -2*l + 6 = -4*i. Suppose -d = -31 + l. Suppose 0*f - d = -5*f. Solve f*m - 10 = m for m. 2 Suppose -c = -6*c. Let i(p) = p**3 + p**2 - p + 2. Let b be i(c). Solve -b*g + 2 = -2 for g. 2 Let k(t) be the second derivative of -t**5/20 - t**4/4 + 2*t**3/3 + 2*t. Let g be k(-4). Solve o + 0 + 3 = g for o. -3 Let h(a) = -a + 4. Let n be h(0). Let y = -3 + n. Let r = y + 4. Solve -9 - 1 = -r*j for j. 2 Let q = -5 - -7. Suppose -3 + 5 = 2*f + q*l, l = 4*f - 14. Suppose f = 3*a - 0. Solve d = a + 4 for d. 5 Suppose -5*x + 6 = -14. Suppose -5*f = x*a - 56, -f - 3*f + 2*a + 24 = 0. Solve 4 = 3*h - f for h. 4 Let o be ((-18)/12)/((-2)/12). Let i(v) = -v**2 + 2*v + 2. Let w be i(3). Let d be -2*w/4*10. Solve 4 - o = d*c for c. -1 Let v = 5 - 1. Solve x = v*x for x. 0 Let n be 42/(-24) + (-3)/(-4). Let l be (n/((-1)/(-1)))/(-1). Suppose 0 = 2*z + l - 23. Solve -z = -2*o - 3 for o. 4 Let k = -5 - -7. Suppose 3*a - k*s - 9 = -3*s, -3*a = 4*s - 9. Suppose -3*i = y + 15, -y + 5*i = a*y - 25. Solve y*x - 4 = 4*x for x. -1 Suppose 0 = -11*j + 8*j + 6. Solve j*g + 2*g = 0 for g. 0 Let i(z) = -z - 4. Let h be i(-2). Let w = 0 - h. Suppose -3*l = w*u + 2, l + 8 = 4*u - u. Solve 0 = 2*b - 4*b - u for b. -1 Let z(y) = 2*y**2 - 4*y + 4. Let d be z(1). Solve -i - i = -d for i. 1 Suppose -h - 6 = h + q, 12 = 3*q. Suppose -20 = -0*g + 4*g + 4*o, 0 = -2*g + 4*o - 16. Let j = h - g. Solve k = -4 - j for k. -5 Suppose -21 = -0*x - 3*x. Suppose 3*d - 2*k + 32 + 40 = 0, 3*d = -2*k - 84. Let o be (-2)/4*d + -1. Solve x*q = 4*q - o for q. -4 Let c be 2 - (-1 + 4 + -1). Suppose -4*l + 4*q + 12 = c, 2*l + 3*q + 9 = 3*l. Suppose 0 = -0*d + 4*d - 20. Solve l = 4*g - d*g for g. 0 Let x be 3 - (-3)/(-6)*2. Suppose 8*i + 5*z = 5*i + 16, x = i + 5*z. Solve 3*p + 22 - i = 0 for p. -5 Let l = -39 - -47. Suppose -4*t + 2 - 18 = 0. Let r = t + l. Solve r*z + 5 = 1 for z. -1 Suppose 0 = -0*z + 4*z - 4. Let i be 1/(-3) - (-4)/3. Let p = i - z. Solve -2*g + 0*g = p for g. 0 Let d(s) = s**3 - 8*s**2 + 8*s + 1. Let u be (-21)/(-15)*(-15)/(-3). Let g be d(u). Solve -4*k + g = -2*k for k. 4 Suppose q + 3*y - 13 = -2*y, -2*q - y + 26 = 0. Solve -4 = 3*o - q for o. 3 Suppose 0 = 4*w + 3*p - 16, -4*p + 14 = 4*w - 6. Solve 2 = i - w for i. 3 Suppose -5*b - 47 = -2*p - 4*b, b - 78 = -3*p. Solve -4*v + p = -9*v for v. -5 Let b be -5*2/(-15)*3. Solve b*f - 15 = -f for f. 5 Let b(u) = u**2 + 3*u + 3. Let j be b(-3). Solve -25 = -j*d - 2*d for d. 5 Let c(z) = -2*z - 2. Let m be c(-2). Let v = -14 - -26. Solve -g + v = m*g for g. 4 Suppose -o - 1 = -4*x, -3*o - x + 2 = 5. Let l(k) = -5*k**3 - k**2 - 2*k - 1. Let r be l(o). Solve -3*h + r*h = -4 for h. -2 Suppose 0 = -4*f - 3*n - 3 - 25, 3*n = -2*f - 14. Let m(x) = -x - 5. Let o be m(f). Let v be (o/6)/((-2)/(-18)). Solve -3*t + 6 = -v for t. 3 Suppose -3*
{ "pile_set_name": "DM Mathematics" }
4) in base 8? 244622 What is 1101010010010011 (base 2) in base 16? d493 What is -20011012122 (base 3) in base 5? -12334131 -704283 (base 13) to base 10 -2608284 What is e8aac (base 15) in base 9? 1344510 Convert 138328b (base 12) to base 2. 1110111001000111001011 What is 7640 (base 8) in base 16? fa0 Convert 20121002110111 (base 3) to base 14. 673677 What is -4dd54 (base 14) in base 3? -100202022120 78740 (base 15) to base 11 241841 4028675 (base 9) to base 10 2145272 What is -1403a95 (base 14) in base 5? -4440104110 Convert -22034154 (base 6) to base 3. -1020102121121 What is 483001 (base 14) in base 5? 1112414412 6865045 (base 9) to base 8 16102432 Convert -1425605 (base 7) to base 2. -101110110011001101 Convert -ba01 (base 13) to base 12. -12b6a What is -276f19 (base 16) in base 15? -360aea What is 1758246 (base 9) in base 16? f0249 Convert -13121213230 (base 4) to base 16. -1d99ec 15366664 (base 8) to base 11 1aa4384 Convert -107278 (base 16) to base 12. -43b934 Convert 999d7 (base 15) to base 6. 14244151 Convert -3bc90e (base 16) to base 10. -3918094 What is 11011010001111100000101 (base 2) in base 16? 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-221300310002 515c0d (base 16) to base 2 10100010101110000001101 253137 (base 8) to base 12 4287b What is 11101010010101010110001 (base 2) in base 3? 112110010010010 -14342264 (base 7) to base 4 -11022303302 -143436114 (base 7) to base 6 -535212033 Convert 31316262 (base 8) to base 11. 3839214 1168108 (base 10) to base 5 244334413 Convert 2331223 (base 6) to base 5. 12331311 2002b2 (base 12) to base 4 1321212212 -3200452 (base 6) to base 5 -14440241 Convert -12200210121 (base 3) to base 5. -12041440 What is 1055317 (base 11) in base 4? 13010012122 32210775 (base 9) to base 13 32acc53 1731773 (base 9) to base 12 3a6b19 Convert -42253515 (base 6) to base 9. -2283332 Convert -1223200 (base 7) to base 4. -212120020 Convert 7cc24 (base 14) to base 7. 2404644 -1231313132 (base 4) to base 14 -b9ddc What is -33421 (base 7) in base 14? -3111 -57772 (base 14) to base 6 -4321000 What is 20000201221121 (base 3) in base 12? 10a5844 What is 8c88 (base 13) in base 15? 5c96 What is -252bc5 (base 14) in base 3? -2101210201102 What is 1100110100111111110 (base 2) in base 4? 1212213332 What is 1b455 (base 15) in base 2? 10101101010011010 Convert -142024320 (base 6) to base 2. -1011000011000101111000 What is 1101110011110 (base 2) in base 16? 1b9e -10232420000 (base 5) to base 7 -161010261 1d72a (base 15) to base 3 11212211211 What is -1210211001102 (base 3) in base 12? -3a4078 Convert 21010101102 (base 3) to base 14. 3917b 2455741 (base 8) to base 2 10100101101111100001 -30e2 (base 16) to base 11 -9447 Convert -22d21 (base 15) to base 6. -2213404 Convert -36346 (base 11) to base 8. -146142 22ba760 (base 12) to base 13 1511c22 What is 1a9787 (base 15) in base 14? 25acd0 What is 93e2bd (base 15) in base 14? d1165a Convert -14552640 (base 7) to base 14. -282dc7 Convert 20144021 (base 5) to base 3. 22020202022 1c7957 (base 15) to base 14 28371d Convert 6c04 (base 16) to base 2. 110110000000100 8a47 (base 16) to base 2 1000101001000111 Convert 671670 (base 11) to base 4. 10011131033 1662544 (base 7) to base 13 825a3 384718 (base 12) to base 14 19d576 -110021021000 (base 3) to base 13 -85bc0 Convert -335663 (base 7) to base 5. -3402203 Convert -18597 (base 13) to base 15. -de56 Convert -162cf (base 16) to base 14. -2515d Convert 4500503 (base 6) to base 2. 110111000110010111 What is 2026a (base 14) in base 4? 102320012 Convert 21012222112220 (base 3) to base 12. 1350b96 Convert 155555356 (base 7) to base 9. 21787474 -4860593 (base 10) to base 4 -102202222301 What is -7213366 (base 8) in base 15? -279cec Convert -2221121201 (base 3) to base 4. -32022322 What is -18730530 (base 9) in base 13? -1c66653 What is -2413002 (base 5) in base 15? -d3d7 Convert -12331003232 (base 4) to base 13. -4ba997 What is -8059833 (base 10) in base 13? -1892742 -13324535 (base 6) to base 13 -128543 Convert -108748 (base 10) to base 2. -11010100011001100 2400231 (base 5) to base 11 2aa13 What is -144021112 (base 5) in base 13? -20b186 Convert 12202021 (base 3) to base 10. 4192 23064356 (base 7) to base 15 29c4ee Convert -24297c5 (base 14) to base 4. -1002002322201 What is -1221201020200 (base 3) in base 14? -1d0187 Convert -17433671 (base 8) to base 11. -2335536 -63727 (base 16) to base 3 -202200202111 What is 14514 (base 10) in base 12? 8496 Convert -3333112 (base 4) to base 12. -955a 5b6d42 (base 14) to base 10 3130766 What is -62407 (base 8) in base 6? -315423 Convert -120002211011 (base 3) to base 14. -7a4bb Convert 1041b21 (base 15) to base 6. 1052335034 What is 100111101010101011010001 (base 2) in base 10? 10398417 Convert 21121102 (base 3) to base 7. 22112 Convert -10100011110000100100 (base 2) to base 15. -d3b21 What is -10112101222211 (base 3) in base 12? -7668b7 -61764 (base 8) to base 9 -38081 3101032031 (base 4) to base 13 2400b0 4abab (base 14) to base 15 39526 What is 1763590 (base 10) in base 5? 422413330 -100110001010000101000001 (base 2) to base 10 -10002753 What is 1166044 (base 7) in base 10? 150952 Convert 1010312233012 (base 4) to base 7. 306264610 Convert -6295e (base 15) to base 16. -4c526 10033001 (base 5) to base 6 1420040 What is 180828 (base 9) in base 8? 333123 What is 53a23 (base 11) in base 15? 1838d Convert 12122111120 (base 3) to base 7. 642060 Convert -101220200020002 (base 3) to base 5. -2441100323 Convert 100110001010101110 (base 2) to base 3. 21221110011 2006aa8 (base 12) to base 13 1316894 What is 685164 (base 16) in base 13? 1554a1a Convert 10000011001111010010010 (base 2) to base 15. 59e309 1122200121022 (base 3) to base 11 55095a What is 12314321 (base 5) in base 8? 352231 What is 22996a (base 12) in base 16? 87c22 -13411664 (base 8) to base 15 -3e9ad5 Convert 100124323 (base 5) to base 11. 250236 Convert -1a8231a (base 13) to base 7. -134366462 Convert 1473376 (base 13) to base 4. 120313210333 What is -c3512 (base 14) in base 16? -72ccc What is -10
{ "pile_set_name": "DM Mathematics" }
w = 77 - n. Does 17 divide w? False Let k = 154 - 123. Does 2 divide k? False Let f be -2 + 4 - (1 - 0). Suppose -3*z + 2*z + f = 0. Is 2/(-4)*-6*z even? False Suppose 5*w - 4*f - 155 = 0, 5*w + 0*w + 5*f - 110 = 0. Does 27 divide w? True Let t(o) = -o**2 + 12*o + 8. Is t(12) a multiple of 8? True Suppose 281 = 4*w + 33. Is w a multiple of 18? False Let s(j) = -6*j - 11. Let r(a) = -a - 1. Suppose 0 = -5*z + z - 16. Let h(w) = z*r(w) + s(w). Does 3 divide h(-7)? False Let t = -145 - -213. Is 17 a factor of t? True Let r(z) = -8*z + 1. Let q = -17 - -10. Let u = q - -5. Is r(u) a multiple of 17? True Let t(x) = 4*x - 3. Let k(u) = 7*u - 7. Let w(h) = -3*k(h) + 5*t(h). Let d be w(6). Suppose d*i = i - 12. Does 12 divide i? True Let i = -19 + 25. Suppose -51 = n - i*n + v, -3*n + 2*v + 25 = 0. Is n a multiple of 6? False Suppose 3*v = -0 + 15. Suppose 2 = v*x - 2*c, 4*c = -x + 7 + 11. Suppose x*k - k = 12. Is 4 a factor of k? True Is 20 a factor of ((-64)/3)/(6/(-18))? False Let l = 234 + -120. Suppose -4*s + 143 = -3*i - 106, -2*i = 2*s - l. Is s a multiple of 20? True Is 3 a factor of (-6)/(-6) + -3 + 8/1? True Let v = -74 + 125. Is 17 a factor of v? True Is 5 a factor of (-380)/(-80) - 1/(-4)? True Let x = 45 - -39. Is 29 a factor of x? False Let g(j) be the third derivative of j**6/120 - 7*j**5/60 + 7*j**4/24 - 2*j**2. Let b be g(6). Suppose -b*h + 2*w + 14 = -4*h, 3*h - 24 = 2*w. Does 8 divide h? False Let h(w) = w**3 + 13*w**2 - 16*w + 16. Does 10 divide h(-14)? False Let c = 7 - 3. Let m be (c/(-6))/((-10)/75). Suppose 23 = w - 3*v - 5, -173 = -m*w + 4*v. Does 19 divide w? False Does 8 divide 3/2*(-160)/(-6)? True Suppose -4*t = 2*v - 582, 2*v + 3*t = -3*v + 1434. Is 14 a factor of v? False Suppose 5*p = z - 42, -3*z + 0*z = p + 2. Let f = 11 + p. Suppose 0 = f*c - 42 - 24. Is c a multiple of 9? False Suppose -54 = -3*b + 57. Let u = b + 45. Does 17 divide u? False Let y = 0 + 3. Suppose -r + y = -0*r. Suppose -2*n = r*q - 68, q - 12 - 2 = -5*n. Is q a multiple of 13? False Suppose 2*u = 5*u - 156. Is 13 a factor of u? True Let f = 6 - 7. Let n(s) = -4 - 6*s + 3 - 3*s. Is 7 a factor of n(f)? False Does 11 divide (2 - 3)*(-90 + 2)? True Is (22/(-66))/((-1)/36) a multiple of 4? True Is -3 + ((-4 - -32) + 3)*1 a multiple of 7? True Suppose 12 = -2*m - 3*j - j, 4*j + 12 = 5*m. Suppose m*u + 3*u = 111. Does 15 divide u? False Let p(g) be the second derivative of g**4/12 + 2*g**3/3 + 3*g**2/2 + 3*g. Does 38 divide p(-13)? False Let f(h) = -h**3 - 6*h**2 - 8*h + 3. Suppose -2*r = -7*r - 30. Does 17 divide f(r)? True Suppose -5*s - 80 = -10*s. Let p = s + -11. Suppose -p*k = -2*k - 4*y - 13, -2*k + 5*y + 4 = 0. Is k a multiple of 7? True Let v = -16 + 18. Suppose -b = -5*y + 1, v*b + 4*y - 47 = 7. Is 18 a factor of b? False Let o(c) = c**2 - 16. Let t(a) = a - 2. Let p be t(2). Let v be o(p). Does 8 divide -2 + (1 - v) + 1? True Let d(l) = -l + 8. Let n be d(6). Suppose -4*g - 75 = 5*w, 2*w + 6 + 24 = -n*g. Is (-92)/(-6) + 5/w a multiple of 6? False Suppose 0 = -2*d + 5*r + 610, -d - 4*r = -5*r - 311. Is d a multiple of 19? False Let i = 6 + -3. Suppose -i*l - 2*l = -70. Does 10 divide l? False Suppose 0 = -6*i + 167 + 73. Does 40 divide i? True Let d(h) = -2*h**3 - 4*h**2 - 3*h. Let z be d(-2). Suppose -z = -2*t, -5*w - 4*t = -6*w + 4. Is w a multiple of 16? True Let p = -294 - -497. Suppose 51 = -4*w + p. Is w a multiple of 19? True Let n(i) = -54*i + 3. Does 37 divide n(-1)? False Suppose 0 = 2*y - 4*m - 0*m - 164, 3*m = -5*y + 410. Is y a multiple of 14? False Suppose -h = -1 - 0. Let v(g) = 2*g + 5 - g - h. Is v(0) a multiple of 4? True Suppose -2*j - 6*x + 21 = -x, -3*x - 6 = -5*j. Suppose 0 = -4*w + 5*u + 21, j*w + 0*w - 5*u - 17 = 0. Suppose -188 + 68 = -w*g. Is g a multiple of 10? True Suppose -2*i + 2 = -s, -5*i = 4*s - 3*i - 2. Suppose s = -2*c - j + 15 + 17, 0 = 2*c + 5*j - 16. Does 5 divide c? False Let x(w) = 3*w**2 - 7*w + 10. Is x(6) a multiple of 19? True Let y = -11 - -11. Suppose a + 4*a - 90 = y. Is 11 a factor of a? False Is ((-12)/9)/(5 - 3)*-72 a multiple of 7? False Let n = 4 + 31. Is n a multiple of 8? False Suppose -5*n = 0, 0 = 3*d - 0*d + 4*n - 81. Does 3 divide d? True Suppose 0 = -6*k + 3*k + 48. Suppose -7 = -4*t + 5, -2*t + 7 = v. Suppose -k = -4*f, -2*f - v - 3 = -a. Is 12 a factor of a? True Suppose -108 = -2*j - j. Let z = j + -19. Is 2*-3*z/(-6) a multiple of 8? False Suppose 0*p = 4*p - 4. Is 7/p*(-4 + 6) a multiple of 5? False Let n(v) = 10*v**2 + 2*v + 10. Does 12 divide n(-4)? False Let d = -6 - -12. Let x = -20 - -60. Does 3 divide x/d + (-2)/3? True Suppose -n + 2*m = -2, -4*m = -5*n - 0*n + 10. Suppose -p = n*p + 9. Let t(z) = 2*z**2 + 2*z + 1. Is t(p) a multiple of 6? False Let d = -56 + 85. Suppose 0*c - 4 = -2*c + 2*v, 5*c - 8 = 4*v. Suppose 46 = 2*x - b, c = -2*x - 5*b + d + 5. Does 12 divide x? False Let s(x) = -7*x. Is 21 a factor of s(-6)? True Is 25 a factor of (6/4)/((-3)/(-176))? False Is 2 a factor of ((-4)/(-8))/(-1)*-14? False Suppose l - 38 + 8 = 0. Does 10 divide l? True Let g = -48 + 68. Is 10 a factor of g? True Let y(f) = -f**2 + 9*f + 1. Let i be y(9). Let p be -8 - (1 - 2 - i). Is 36*(p/4)/(-3) a multiple of 18? True Let d(w) = -w**2 - 13*w - 8. Let n be d(-11). Let s = 35 - n. Does 5 divide s? False Does 11 divide (-4)/(-6) - 916/(-12)? True Let g(r) = 3*r - 3. Let v be g(4). Suppose -v = 3*w - 6*w. Suppose -j + w*s + 7 = 2, -j - 4*s = -12. Is 8 a factor of j? True Let v = 3 - -54. Is 14 a factor of v? False Let q(w) = -9 - 4*w + 3*w + 3*w. Let s(b) = 2*b - 6. Let z be s(8). Is q(z) a multiple of 3? False Let u = -25 + 9. Let m = u + 34. Is m a multiple of 11? False Suppose 0 = -5*z + 4*z + 95. Let n = z - 45. Is n a multiple of 15? False Suppose b - 16 = -3*b. Suppose 2*z = b*z. Let p = 6 - z. Does 6 divide p? True Suppose -11*s - 70 + 730 = 0. Is s a multiple of 25? False Suppose -p - 3*s - 150 = -6*p, 3*p - 90 = 2*s. Is p a multiple of 10? True Let y = -1 - -25. Is 12 a factor of y? True Suppose -r - 5*m = -8*m - 3, -3*m = 2*r - 51. Suppose -3*x = -4*z + 11, 3*z - 8*z + 5*x = -15. Let n = z + r. Does 10 divide n? True Let v(q) be the first derivative of -q**4/4 - 11*q**3/3 - 7*q**2 - 8*q - 14. Suppose -b - 40 = 3*b. Is v(b) a multiple of 16? True Let z be 6/4 - 5/(-10). Suppose -z*y + 2 = -y. Let d(f) = 2*f. Is 2 a factor of d(y)? True Let t(u) = -u**2 - 11*u + 6. Let x = 3 + -11. Is t(x) a multiple of 15? True Let b(c) = -c**3 - 14*c**2 - 15*c - 19. Let s be b(-13). Let v = s + 0. Is 6 a factor of v? False Let g be -1 + (8 - 0 - 0). Let s(u) = -6 - 4 + u**3 - 2*u - 6*u**2 + u. Does 11 divide s(g)? False Let z be (4/(-6))/((-6)/117). Let g = z - -7. Suppose 56 = 4*r - g. Is 19 a factor of r? True Let k(v) = -149*v + 8. Is k(-3) a multiple of 65? True Let b be ((-16)/20)/((-4)/(-30)). Let r(p) = p**3 + 6*p**2 - p + 5. Is r(b) a multiple of 7? False Suppose 2*a + 18 + 10 = 0. Let j be 6/21 + (-402)/a. Suppose -3*r = -2*w + j, 0 = -6*w + w + 2*r + 78. Does 8 divide w? True Let s = -73 - -103. Let n be ((-1)/(-2))/(5/s). Suppose -3*y + n*i + 12 = -0*y, 4*y + 4*i - 56 = 0. Does 5 divide y? False Suppose 0 = 3*i - s + 5*s + 15, -2*i + 2*s = 24. Let d = 11 - i. Suppose 0 = c - 5*c + d. Is c a multiple of 5? True Let t = -121 + 149. Is t a multiple of 14? True Let l be 3/2*(-2)/3. Let p = 5 + l. Suppose -a = -4*a - p*v + 65, -v = 2*a - 35. Does 10 divide a? False Let h = -12 - -14. Suppose -129 = -h*n - n. Is 15 a factor of n? False Let i(f) = -f**3 + 22*f**2 + 42*f + 10. Is i(23) a multiple of 34? False Let w(n) = -3*n + 11. Let i(q) = -7*q + 23. Let m(k) = -2*i(k) + 5*w(k). Is 3 a factor of m(4)? False Suppose -4*o + o - 2 = 2*a, 0 = -3*o - 6. Suppose a*c - 6 - 38 = 0. Does 12 divide c? False Let a = 7 + 4. Let z = 3 + a. Is z a multiple of 7? True Let g = 150 + -72. Suppose -5*x - g = -4*h, x - 50 = -2*h - 2*x. Does 11 divide h? True Let z be 74/10 + (-10)/25. Let x be (z + -2)*(3 - 4). Let u = x - -17. Is u a multiple of 12? True Let m = -8 + 14. Let i be m/33 + 480/22. Let g = -7 + i. Is g a multiple of 10? False Suppose -65 = 3*v - 197. Does 9 divide v? False Suppose -a = -s + a + 17, 0 = 5*s - 4*a - 67. Does 4 divide s? False Suppose 0*n + 2*n = 5*q - 8, 2*n + 2 = 2*q. Suppose
{ "pile_set_name": "DM Mathematics" }
-f**3 + 5*f**2 - 2*f + 1. Let u be s(3). Calculate the remainder when 42 is divided by 0/3 + u + -2. 9 Let h be ((-9)/(-12))/((-1)/8). Calculate the remainder when 14 is divided by (-3)/18 + (-19)/h. 2 Let q = 10 + -8. What is the remainder when 11 is divided by (q - (3 + -4)) + 1? 3 Suppose -b - 18 = -x, 97 = 4*x + 2*b - b. Suppose -3*p - 4*w = -103, -164 = -5*p + 4*w - 3*w. Let d = p - x. What is the remainder when 18 is divided by d? 8 Let c(m) be the first derivative of m**4/4 - 3*m**3 + m + 3. What is the remainder when 3 is divided by c(9)? 0 Suppose 0 = -5*y - 3 + 53. Suppose 2*i + 2 = 0, -3*f + 0*f + i = -112. Calculate the remainder when f is divided by y. 7 Suppose -7*l + 2*l - 40 = 0. Let m(x) = -x**3 - 8*x**2 - 6. Let y be m(l). Calculate the remainder when 20 is divided by ((-22)/y)/(4/12). 9 Let x(j) = -1 - 3 + 12*j**2 + 3 - 2*j. Calculate the remainder when 23 is divided by x(-1). 10 Suppose -54 - 66 = -5*z. What is the remainder when 71 is divided by z? 23 Calculate the remainder when 12/(-4)*(2 - (2 - -13)) is divided by 20. 19 Let a be (-105)/6 - (-12)/8. What is the remainder when (-196)/a - (-3)/4 is divided by 8? 5 Let h be (12/18)/((-2)/(-15)). Suppose 19 + 51 = h*s. Let y = -1 + 6. Calculate the remainder when s is divided by y. 4 Calculate the remainder when (-2)/4 - (-110)/4 is divided by 1*2 + (11 - 6). 6 Suppose -155 = -5*f + 5*v, 3*v - 29 = -f - 6. Let u(a) = -a**3 - 4*a**2 - 2*a + 2. Calculate the remainder when f*2/(-4)*-2 is divided by u(-4). 9 Suppose -12 - 28 = -5*x. What is the remainder when 29 - 0/2 - -1 is divided by x? 6 Let s(w) = 5*w**3 - w**2 + w + 1. Let k be s(-1). Suppose -11 = -4*d + y, 0*d + 4*d - 17 = 3*y. What is the remainder when -6*(-2 + (-8)/k) is divided by d? 0 Suppose -3*s - 136 = -4*n, -n + 38 = -s + 4. Calculate the remainder when n is divided by (-20)/(-30)*27/2. 7 Calculate the remainder when 51 is divided by (-6)/12 + (-9)/(-6) + 13. 9 Let h(r) = -r**3 - 9*r**2 - 7*r + 10. Let b be 1/(-4) - 31/4. Let c be h(b). Suppose 14 - 4 = c*w. Calculate the remainder when 9 is divided by w. 4 Let m(r) = -r + 42. Calculate the remainder when m(0) is divided by 22. 20 Let s(q) = 2*q + 2. Let w be s(3). Suppose -3*d - y - 25 = -w*d, 0 = -5*d - 5*y + 25. Let c = d - 3. What is the remainder when 2 is divided by c? 0 Let f(u) = -4 - u**3 - 6*u**2 + 6*u - 3*u + 0*u**2 + u. What is the remainder when 33 is divided by f(-7)? 16 Suppose -10*i + 234 = -8*i. What is the remainder when i is divided by 30? 27 Let g(h) = -h**2 - 5*h + 9. Calculate the remainder when 18 is divided by g(-4). 5 Let x = -48 - -90. Calculate the remainder when x is divided by 23. 19 Suppose -c = 3*c - 60. Calculate the remainder when 40 is divided by c. 10 Let c be 5 - (-2 - (1 + -1)). Let z(i) = 5*i - 2*i - 2*i - 5. Calculate the remainder when 2 is divided by z(c). 0 Let q(w) = -w**2 - w + 19. Let s be q(0). Suppose 5*h + 2*n - 121 - s = 0, 0 = h + 5*n - 51. What is the remainder when h is divided by 9? 8 Let z be (-24)/(-9)*15/2. Let t be 6/(-15) + 208/z. Calculate the remainder when (t - 5) + 0/2 is divided by 2. 1 Let c be (-34)/1 + (-2 - -4). Let y = 61 - c. Suppose -5*j = -2*u - y, 2*j - 26 = -0*j - 2*u. Calculate the remainder when j is divided by 9. 8 Let h = -215 + 226. Let z = -57 + 98. What is the remainder when z is divided by h? 8 Let v = 41 + -8. Let j = -14 + v. What is the remainder when 36 is divided by j? 17 Suppose 3*a = -0*a + 9. Suppose 4*t = -o - a, 0 = -4*o - 9 - 3. Suppose -d - 2*d + 33 = t. Calculate the remainder when 20 is divided by d. 9 Suppose -6*h + 26 = -10. What is the remainder when 21 is divided by h? 3 Suppose -3*s + 213 = 3*p, s + 2*p + 320 = 6*s. Suppose 2*y - s = -20. What is the remainder when y is divided by 12? 11 Let q(u) be the second derivative of 3/2*u**2 - 2*u + 0 + 5/12*u**4 + 1/3*u**3 + 1/20*u**5. What is the remainder when q(-4) is divided by 4? 3 Suppose -3*w + 0*w = 0. Suppose -2*k + w*k = -44. Calculate the remainder when k is divided by 8. 6 Suppose -5*f + s + 72 = 0, 8 = -3*f + 3*s + 56. Calculate the remainder when ((-3)/2)/((-9)/240) is divided by f. 12 Suppose -6*c - 5*k + 394 = -2*c, -2*k - 284 = -3*c. What is the remainder when c is divided by 26? 18 Let a = 0 - -29. Let h = a - 5. What is the remainder when h is divided by 13? 11 Let f be ((-68)/6)/(12/(-18)). Let c = f + 8. Calculate the remainder when 97 is divided by c. 22 Let v be (-1)/2 + 65/(-2). Let t = v + 58. Let f = t + -3. What is the remainder when f is divided by 12? 10 Suppose 2*t + 218 = 4*g, -4*g + 146 = -g + 2*t. Let j = 27 + -9. What is the remainder when g is divided by j? 16 Let b(u) = -u**3 - 4*u**2 - 3*u + 1. Let g be b(-3). Suppose -4*p + 8 = -24. Calculate the remainder when p is divided by 57/12 + g/4. 3 Let k(c) = c**2 - 3. Let p be k(6). Let i be 0 - (-2*p + 3). Calculate the remainder when 82 is divided by 2/9 - (-1309)/i. 19 Suppose 0 = -4*y + 16 + 8. Suppose 2*w = y + 2. What is the remainder when (9/2 - 1)*2 is divided by w? 3 Suppose -2*i + 10 + 34 = 0. Suppose -2*j - 2*d - 10 = 0, -j + 8*d - 35 = 3*d. What is the remainder when (-24)/(-40) + (-634)/j is divided by i? 20 Suppose 3 = q, -30 - 48 = -5*m + 4*q. What is the remainder when 69 is divided by m? 15 Let p(a) = 2*a + 10. Let g(w) = -w - 1. Let y(k) = -3*g(k) - p(k). What is the remainder when 5 is divided by y(10)? 2 Let v(g) = -g + 9. What is the remainder when v(0) is divided by 5? 4 Let i(a) = 16*a**3 - 2*a**2 + 2*a - 1. Suppose 0 = -w + 3 + 3. Let h be w/3 - (0 + 1). Calculate the remainder when 43 is divided by i(h). 13 Let i be (0 - -3) + -1 - -2. Let g = 11 + i. Let h = g + -8. Calculate the remainder when 13 is divided by h. 6 Let r = 49 - 42. Calculate the remainder when 12 + (-1 - 0)/(-1) is divided by r. 6 Suppose 3*r + 4*y + 0*y - 17 = 0, -5*r - 5*y + 25 = 0. Let t(l) = -l**3 + 8*l**2 + 10*l - 2. Calculate the remainder when t(9) is divided by r. 1 Suppose -2 = -u - 1. What is the remainder when 2 is divided by u? 0 Calculate the remainder when 11 is divided by 165/44 + 3/(-4). 2 Let s = 68 - 28. Let q(z) = z + 1. Let m be q(10). Let a = m - -3. Calculate the remainder when s is divided by a. 12 Let k(b) = 44*b**3 + b**2 - 2*b + 2. Calculate the remainder when k(1) is divided by 16. 13 Let z(t) = -t + 7. Let g be z(3). Let c = 30 - 17. Let d = c - g. What is the remainder when d is divided by 3? 0 Let r(s) = -2*s - 5. Let d be r(6). Let w = d + 38. What is the remainder when 64 is divided by 2 + (w - (-1)/(-1))? 20 Suppose 3*y + 2 + 4 = -3*g, -3*g + 5*y = 38. Let h(p) = -p**3 - 7*p**2 - 6*p + 7. What is the remainder when 20 is divided by h(g)? 6 Let a(j) = -j**2 - 23*j - 30. Calculate the remainder when 43 is divided by a(-21). 7 Let k = 12 + -9. Suppose -k*c + 56 = -79. What is the remainder when c is divided by 12? 9 Suppose -7*u + 2*u = -95. Let x = 12 - 7. Suppose 6*j - 7 = x*j. Calculate the remainder when u is divided by j. 5 Suppose -4*c + 2*c - 36 = 0. Let x = 27 + c. Calculate the remainder when 15 is divided by x. 6 Let t(r) = 3*r**2 + 3*r. Let j(u) = u**2 - 15*u + 4. Let v be j(15). Let p = v + 0. Calculate the remainder when t(-2) is divided by p. 2 Calculate the remainder when (-8)/(-12) - (-374)/6 is divided by 16. 15 Let y(v) = v**3 - 3*v**2 - 9*v + 8. Calculate the remainder when 31 is divided by y(5). 5 Suppose -2*f - 30 = -2*w, 3*f - 11 - 1 = 0. What is the remainder when 53 is divided by w? 15 Let g(z) = 4*z - 2. Suppose -5*u + 106 = -3*r, -3*u + 4*r = -r - 70. Suppose -o = o - u. Calculate the remainder when o is divided by g(2). 4 Let q = -9 + 15. Suppose -u + 19 = h, -2*h - h + 77 = -2*u. Calculate the remainder when h is divided by q. 5 Suppose -d - 21 = -5*r + 16, 2*r = -5*d + 31. Suppose -n + r = -9. Suppose 4*s = -c + n - 2, -3*c - 3 = -4*s. What is the remainder when 10 is divided by c? 1 Let y = -2 - 1. Let v(z) = 3*z**3 - 7*z**2 + 10*z - 2. What is the remainder when (-1)/((y/75)/1) is divided by v(2)? 11 Suppose 40 = -5*k + 15. Let c = k + 33. Calculate the remainder when c is divided by 10. 8 Suppose 4*f - i - 85 = 0, f - 2*i - 18 = -5*i. What is the remainder when 62 is divided by f? 20 Let h be ((-8)/(-3))/(1/(-3)). Let a = 8 - h. Calculate the remainder when 30 is divided by a. 14
{ "pile_set_name": "DM Mathematics" }
i + x = 2*q, 5*q + 5*i - 39 = q. Solve q - 3 = -c for c. -3 Let j(p) = 7*p**2 + 12*p**3 + 12*p - 21*p**3 + 10*p**3 + 16. Let b be j(-5). Solve -15 = b*c - c for c. -3 Let s(x) = 2*x**3 + 3*x**2 - 11*x - 1. Let a be s(-3). Suppose 4*z - 16 = 2*z. Suppose 0 = 4*r + 4*i - 68, -2*r + 5*i = 3*i - 14. Solve -a*c - z = r for c. -4 Let i(x) = 9*x. Let o be i(1). Let z = 7375 - 7375. Solve z*l + o = -3*l for l. -3 Let s = -136 + 135. Let a be (6 - 172/16)/(s/4). Solve 6*n - a = -1 for n. 3 Let i(j) = -12*j**2 + 87*j - 5. Let q be i(6). Suppose 4*h + y = q, 4*h - 50 = h + 2*y. Solve -16*u = -12*u - h for u. 5 Suppose -956*x + 959*x - 161 = -5*k, 4*x = -12. Solve 0 = -k*g + 39*g + 5 for g. -1 Let i be (2 - -1)*26/26. Let x be (10/(-15) - (i + 0))*-3. Solve 10 = 7*s - x for s. 3 Suppose 0 = 3*z - 2*z. Suppose -c = 2*a - 2, z*c + 5*c + 2*a = 18. Let m be ((-4)/3)/(20/(-120)). Solve 20 - m = c*k for k. 3 Suppose -35*f = -7*f - 84. Suppose 2*w = -3*n + 36 - 12, 42 = f*n - 4*w. Solve 7*b - 3 = -n for b. -1 Suppose -45*v = -55*v. Suppose v = -28*y + 14*y + 56. Solve -15 = y*w + 5 for w. -5 Let f be (-4)/(-10) + 2/(-5). Let d be (-12 + (2 - -10))*(43 + -42). Solve f*c - 6*c = d for c. 0 Suppose -j = 2*j. Suppose 0 = 2*n + 3*n. Let x = 277061 + -277058. Solve x*r + j*r - 12 = n for r. 4 Suppose 5*h + 3 = 18, -5*f = 2*h - 91. Let t be 17/f*41*-1. Let l = t - -57. Solve 2*y + 2*y = -l for y. -4 Suppose 9*a - 14*a = -10. Suppose -20*j - 22 = -2*q - 16*j, a*j = 5*q - 95. Solve -q = 5*h + 2*h for h. -3 Suppose 0 = 122*n + 95*n + 23620 - 396643. Solve 7*w - n + 1726 = 0 for w. -1 Let p = 1212 - 1208. Solve 0 = -p*o + 11 - 31 for o. -5 Let q = -26 + 25. Let i(y) = -10*y + 1. Let k be i(q). Let s be 4/((-12)/15) + k. Solve -s = -u - 1 for u. 5 Let s(z) = -z - 2. Let r(o) = o**2 - 11. Let w be r(-5). Suppose 12*g = 10*g - w. Let j be s(g). Solve -9 = j*i + 1 for i. -2 Suppose 331*z - 85887 + 8764 = 0. Solve -235*o + 14 = -z*o for o. 7 Suppose -k = -5*f - 41, 2*f = -k - 3 + 9. Let i(h) = h**3 + 211*h**2 + 202*h - 1677. Let w be i(-210). Solve -w*v = -k + 10 for v. 2 Let k be 0/((-17)/(119/(-14))). Solve -10*l + 12*l - 10 = k for l. 5 Let q(c) = c**2 + 56*c - 558. Let a be q(9). Solve -24*u - a = -171 for u. 6 Let v(b) = -6*b + 20. Let m be (12 - 18) + 0 + 8. Let p be v(m). Solve p*j = j for j. 0 Let l(a) = a**3 + a**2 - 10*a - 1. Let t be l(-4). Let r(g) = g**2 + 11*g + 24. Let h be r(t). Suppose -h*i + 0*i + 24 = 0. Solve -i*k - 1 = -3*k for k. -1 Let k be (81/6)/((-27)/36). Let r be 10/2 + 3/((-27)/k). Solve -6*d + r*d + 2 = 0 for d. -2 Let z(t) = t**2 + 4*t - 12. Let c be z(-8). Suppose -c = -7*k - 20. Solve k = -8*a + 11*a - 15 for a. 5 Suppose -9*n - 8 = -11*n + 4*o, -o - 2 = -2*n. Solve 13*c = -n + 26 for c. 2 Let i(b) = -b**3 - 8*b**2 - 18*b + 2. Let h be i(-3). Solve h*v = 9 + 35 for v. 4 Let j be (-130)/(-3)*(-2 - 32/(-10)). Suppose -5*r = -z - 0*z, 5*z + r = j. Suppose 30 = -0*q + z*q. Solve 5*t = -q - 17 for t. -4 Let y be (132/(-21) - -6)*-14. Let z be 1 - y/12*-3. Solve z*i = -3*i - 25 for i. -5 Let v = -2353 - -2360. Solve -5*i = v*i - 7*i for i. 0 Suppose 0 = 8*s + 24 + 24. Let a be s/12 + (-27)/(-6). Solve a = -3*i + 19 for i. 5 Let y be 6/7*(-238)/(-68). Suppose -w - 1 = -3*w + y*c, -w - 3*c + 5 = 0. Solve w*r - r = -1 for r. -1 Let a(z) = 5*z - 20. Let k be a(4). Suppose -6*h + 30 + 90 = k. Let q be 2/4 - 10/h. Solve q*m + 2*m + 6 = 0 for m. -3 Let q(f) = -18*f - 14*f + f + 148 + 7*f. Let g be q(6). Let v = 42 + -30. Solve 0 = -g*j + 4 + v for j. 4 Suppose 0 = -4*b + 2*f + 2*f - 224, 4*f = 3*b + 168. Let d be -2 + 8*b/(-32). Solve d*o - 8*o = 0 for o. 0 Let g = -1824 - -1828. Solve 20*z - 22*z = g for z. -2 Let a be 3 + (-2)/2 - 0. Suppose -a*k = 2*k - 16. Suppose 426 = 121*o - 24 - 155. Solve o = 3*i - k*i for i. -5 Suppose -60 = -11*z + 7*z. Suppose 28*v - 5*v - 69 = 0. Solve 0*i = v*i - z for i. 5 Suppose z - 6*z + 10 = 0. Let t be 4 - (z - 12/4). Suppose 0 = 3*g + 7*s - 5*s + 4, -3*g + 6 = -3*s. Solve t*c + 0*c = g for c. 0 Let r = -63 + 92. Suppose 0 = -31*d + r*d + 10. Suppose d*x = 31 + 24. Solve 5*s - x = 9 for s. 4 Let c(q) be the second derivative of -q**4/6 + 11*q**3/6 - 5*q**2/2 - 23*q. Let x be c(5). Let z be 2/1 + x/(-19). Solve z*g = g for g. 0 Let l(y) = -4*y**3 + 3*y**2 + 3*y - 7. Let j be l(-3). Let o = -119 + j. Solve o = 7*z - 2*z - 20 for z. 4 Let l = 164 - 162. Suppose 2 = -l*s, 0 = 4*q + s + s - 38. Solve -15 = -5*t - q for t. 1 Suppose -211 = -r + 4*u, -843 - 188 = -5*r - 4*u. Solve 4*b + 65*b = -r for b. -3 Let z(m) = -m**3 + 13*m**2 - m - 14. Let b be z(13). Let s be (-1 + b)*(-17)/68. Solve 12*h = s*h for h. 0 Let o = 3516 - 3516. Solve -59*v + 62*v + 6 = o for v. -2 Suppose 0 = -2*i - 2*f + 10, f = -i - 2*i + 7. Let y be -2 + (-2506)/(-12) - i/(-6). Suppose 206*k - y*k = -4. Solve k*t + 2 = 6*t for t. 1 Let l be -3 - ((-342)/399 - (-337)/(-7)). Solve -35*k + 12*k - l = 0 for k. -2 Suppose 2 = -o - 2*b, -4*o - 4 + 8 = 2*b. Let h be ((-5)/o)/((-15)/12). Suppose 0 = 3*s + 3*v - 15, 3*s + 2 = -v + 21. Solve t = h - s for t. -5 Let t(s) = -49*s + 931. Let d be t(19). Solve q + 141 - 136 = d for q. -5 Let o be 682/8 + 1014/(-312). Solve -21*y - o + 145 = 0 for y. 3 Let c be 1*2*6030/804. Solve -c*s + 131 - 146 = 0 for s. -1 Let m = 693 - 484. Let c = m + -207. Solve -d = c*d for d. 0 Let s = -442 + 442. Suppose 4*f - 22 = 2. Let h be (-20)/(-3)*9/f. Solve s*x = 2*x + h for x. -5 Suppose -23*i + 1421 = 66*i - 982. Solve -558*z = -549*z + i for z. -3 Let s be 3548/(-7) + (-19)/133. Let o be s/(-36) + (-3)/36. Solve -4*m + o = 6 for m. 2 Suppose a = 4*n, 2*a + n - 6*n = 3. Suppose -25*v + 90 = -38 + 3. Solve -v*c - 1 = a for c. -1 Let m(o) = -231*o - 35574. Let l be m(-154). Let q = 5 + -3. Solve q*b - 93 + 103 = l for b. -5 Let p(m) = 11*m**2 - m + 5. Let i be p(-5). Let z be 3 + (6/3 - i/(-5)). Let r = z - 58. Solve -8 = -r*x + 6*x for x. -4 Let x be (-122)/(10/(-3) + 4). Let h be x/(-18) + (-5)/30. Suppose -2*r = 2*d - 18 + 4, -h = -2*d. Solve 0 = -2*f + 10 - r for f. 4 Let g(u) = -12*u**2 + 461*u - 185. Let x be g(38). Solve -18*o - x*o = -184 for o. 8 Let c(y) = y + 2. Let j be c(1). Suppose 0 = -5*u - 4*b - 5, -j*u + 7*b + 19 = 5*b. Solve -3*l + 12 - u = 0 for l. 3 Let n be 444/(-28) + 18/21. Let f be (-5 + 4)*3 - n. Solve -f + 4 = 2*o for o. -4 Let l(c) = -3*c**3 + 0*c**2 + 6*c**2 - 5*c**2 + 4*c**2 + 2*c**3 + 21 - 15*c. Let m be l(2). Solve -9*p - 6 = m for p. -1 Let n(q) = 4*q**2 - 6. Let t(i) = i**2 + 10*i - 13. Suppose 17*f = 12*f - 55. Let o be t(f). Let s be n(o). Solve -7*c + s*c = -12 for c. -4 Suppose 37*n + 13001 = 195*n - 1061. Solve -9 = 20*b - n for b. 4 Let v = 108 - 103. Let h be (17*(-2)/v)/((-2)/5). Solve -15*x + h*x = 10 for x. 5 Let j be (1640/(-492))/(1/(-9)). Solve 52 + 98 = j*v for v. 5 Let o(h) = 491*h - 8347. Let c be o(17). Solve -37*f + 26*f + 11 = c for f. 1 Suppose 35*p = 38*p + 129. Let d = -41 - p. Suppose -l + d*l - 6 = 0. Solve 3*s = -l - 9 for s. -5 Let w be (-1)/2 + (-579)/(-6). Suppose -8*s + 0*s - w = 0. Let u be (s/5)/(2/(-5)). Solve 3*q = u*q - 15 for q. 5 Suppose 4*k + 4*w = 244, 0 = 18*k - 22*k + 2*w + 244. Solve -37*q + k = -13 for q. 2 Let j = 176 - 174. Suppose j*p = 30 - 32, 0 = -3*n + 4*p + 16. Solve -6*g + n = -2 for g. 1 Let p = -11868 + 11872. Solve p*x - 133 = -157 for x. -6 Let h(r) = 5*r**2 + 175*r + 335. Let j be h(-33). Suppose 0*b + 15 = b. Solve 0 = -5*l + j + b for l. 4 Let i be (4/5)/(9/45). Suppose 2*l + 9*s - 10*s - 21 = 0, -12 = -2*l - 2*s. Solve 7*k - l = i*k for k. 3 Let j be 1 - (0 - 2 - 4). Let o be 6*(-6)/(-126)*j. Solve -3*q + o = -10 for q. 4 Let i = 3 - 1. Let p = 427 - 407. Suppose -10*a - u = -11*a + 9, -4*u = p. Solve -2*d + a = i for d. 1 Let f(l) = 42*l**2 - 77 - 7 + 72*l**3 - 45*l - 71*l**3. Let m be f(-43). Solve 0 - m = y for y. -2 Let n be ((884/51)/26)/(8/60). Suppose -s + 9 = -0. Solve n*i + 8 = s*i for i. 2 Let f be (-22)/(-77) + (-2)/7 - -3. Let k be f - (-1)/(4/(-32)). Let y be 1 + 0 - (-28 - k). Solve -y = -5*c - 9 for c. 3 Suppose -29*t + 879 = -687. Solve -t*k = -145 - 179 for k. 6 Let q(y) = 7*y - 58. Let d be q(9). Let p be ((-4)/5)/(d/((-100)/4)). Solve -3*l - 13 = -p for l. -3 Let g(n) = 3*n**2 + 20*n + 4. Let a be g(-7). Suppose -11 = -
{ "pile_set_name": "DM Mathematics" }
t is the nearest to 0.2 in 1, l, h? h Let j = 5 + -3. Let r = 39 + -39.4. What is the closest to j in 2, r, 0.1? 2 Let y = -7.8 + 8. Let x = -1 + -1.5. Let n = x + -0.5. What is the nearest to -2 in 0.3, y, n? n Let a = 2.1 - 2. Let b be (-21)/(-420)*30/(-4). What is the nearest to a in 2/7, b, -2? 2/7 Let s = -10 + 9.89. Let n = s + 1.11. What is the nearest to -2/5 in 0, n, 5? 0 Let l = -359/468 + 2/117. Let h = -2.02 - -0.02. Which is the closest to h? (a) -2 (b) -3 (c) l a Let d = -13/3 - -4. Which is the closest to 1? (a) -2 (b) 1 (c) d b Let f = 4 - 4.02. Let g = -3.02 - f. Let u = 0 + -2. Which is the closest to -0.1? (a) u (b) -1 (c) g b Let z be (2/6)/((-2)/18). What is the nearest to -0.4 in 0.2, 5, z? 0.2 Let z be (-8)/(-18) - 2/6. What is the nearest to -3 in 2/3, 2, z? z Let j = -4 - -9.1. Let d = 5 - j. Let w = -4 - -3.8. What is the closest to d in w, 5, -1/3? w Let k = -10 + 14. Let l = k - 4.1. Let n be 1 - 8*2/18. What is the closest to -2/5 in 1/3, l, n? l Let q = 10.9 + -11. Which is the closest to 2/5? (a) -0.4 (b) -3 (c) q c Let v(w) = w + 7. Let l be v(-6). Let z be 0 - (2 + (0 - 1)). Let h be z + 1 + 6 + -1. Which is the closest to l? (a) h (b) -0.1 (c) 2 c Let f(n) = -n - 19. Let j be f(-17). Which is the closest to -0.2? (a) j (b) 5 (c) 4 a Let r = 0 + -1. Let o = -357 + 233. Let u = o - -864/7. Which is the nearest to r? (a) -2/15 (b) u (c) -4/3 c Let w = -4.8 - -4.3. Which is the nearest to 0? (a) 2 (b) 10 (c) w c Let s = 95 + -94. Which is the closest to 1? (a) 3 (b) s (c) 13 b Let w(l) = -4*l**3 - 1. Let z be w(1). Let u = 109 + -111. What is the closest to -0.2 in z, 2/5, u? 2/5 Let s = -0.15 - -0.45. What is the closest to -0.2 in s, -0.4, 3/4? -0.4 Let n = 0.15 - 1.15. What is the nearest to -1/4 in n, 2, -0.2? -0.2 Let r = 0 - 5. Which is the closest to 2? (a) r (b) 0.5 (c) 1/4 b Let y be ((-6)/(-9))/(5/3). Suppose 5*x - 2 = 4*x. Let p be (-22)/(-14) + (1 - x). What is the closest to y in -0.4, p, -4? p Let p = -0.7 - -0.5. Which is the closest to 1/5? (a) 4 (b) -4 (c) p c Let j = 61 + -60.9. Which is the closest to -0.1? (a) j (b) 1/5 (c) -0.1 c Let h = 178 - 1244/7. Let l be 70/6 + 2/6. Let u be 3/l - (0 - 0). Which is the nearest to 0? (a) u (b) h (c) 0.5 a Let k = 132 + -1189/9. Let l = -2 + 2.8. Let o = 0.9 - l. What is the closest to o in -0.4, k, -1/2? k Let b = 263 - 1311/5. What is the closest to 0.1 in 3/4, 1/4, b? 1/4 Let g = 0.3 - 0.4. Which is the closest to 3? (a) g (b) -2/9 (c) -1 a Let c be (-1 + 8)*(-2)/(-7). Suppose c*i + 5 - 1 = 0, 2*i - 4 = 2*k. Let z = 1/21 + -25/84. What is the closest to 1 in -2, z, k? z Let w be 2 + -3 - 202/(-136). Let h = -4/17 + w. Suppose 2 + 2 = 4*b. What is the closest to 0.1 in -1/10, b, h? h Let s = 1.2 + -2.2. What is the nearest to -1/5 in 4, s, 1? s Let c = -22 + 22.3. Let t be -3*3/7 + 1. What is the nearest to t in c, -0.1, -0.5? -0.1 Let m = -9.4 - -9. Let n = -6 + 11. Let w(j) = j - 5. Let u be w(7). What is the closest to 2/3 in n, u, m? m Let n = -3/68 + -121/340. Let h = 269/412 + 10/103. What is the nearest to n in -0.3, h, -2? -0.3 Let j = 89 - 535/6. Let x be 42/63*(-30)/4. Which is the nearest to -0.1? (a) 0.1 (b) j (c) x b Let i = -5765/17 - -339. Let q be 285/105 + 1 + -4. Which is the closest to 0? (a) q (b) i (c) -4 b Let i(w) = 17*w - 34. Let p be i(2). Let b = 3 + -8. What is the nearest to 0 in b, p, 4? p Let p = 15.99 - -0.01. Let o = 20 - p. What is the closest to -0.4 in 5, o, 1/4? 1/4 Let g = 0.2 + 0.3. Let y be 2/(-28)*(29 + -3). Let i = -46/21 - y. What is the nearest to 0 in g, i, 2/15? 2/15 Let u(h) = -h - 6. Let g be u(-2). Which is the nearest to g? (a) 1/3 (b) 1 (c) -3 c Let z = -0.3 - -0.34. Let t = -2.76 + 3. Let w = t - z. Which is the nearest to -2/5? (a) 3 (b) w (c) 4 b Let m = -32.1 - -35. Let r = m - 3. Which is the closest to 0? (a) 2/11 (b) r (c) 0 c Let o = -0.2 - -0.1. Let f = 0.034 + 0.466. What is the closest to o in 0.4, -2, f? 0.4 Suppose 8 - 12 = -v. Let r be 32/(-18) + (v - 2). Which is the closest to r? (a) 3/5 (b) 1/2 (c) 0.1 c Let k = 1.3 - 1.3. What is the nearest to 0 in 1, 1/6, k? k Let l = 32 + -30.3. Let r = l - 0.7. What is the closest to -0.3 in 4/5, r, -0.1? -0.1 Let o(w) = -10 + w**2 - 3*w + 0*w**2 + 10*w. Let a be o(-8). Let g = a - -5/3. What is the nearest to g in -1, 0, 4? 0 Let y = -3 + 3.07. Let n = 0.47 - y. Let l = 2.5 + -2. What is the nearest to 1 in n, l, -2? l Let k = 11 + -11. Let q = 1.6 - 5.6. What is the closest to k in -3, q, -1? -1 Let m be (72/(-285))/((-2)/(-5)). Let u = -2/57 + m. Let k = -2.3 + 2. What is the closest to u in k, -5, -1? -1 Let h = 173 - 1213/7. Let n be 18/24*(-4)/(-6). What is the nearest to n in 3, h, 1/3? 1/3 Let o be 8/(-10) + (-2)/(-5). Which is the closest to -0.1? (a) 1 (b) -1/5 (c) o b Suppose -w = -2*w. Let m(k) = -5*k - k + 5*k - 5 + w*k. Let x be m(-6). Which is the nearest to x? (a) 2 (b) 3 (c) 0.4 c Let p = 0.14 + -0.64. Suppose 0 = 5*i - 41 + 16, z = -i. Suppose 0 = -3*f + 3*n + 3, -2*n - n - 19 = 5*f. What is the nearest to 0.1 in p, z, f? p Let x be 1 - (-2 + 44/12). Let a(i) = -i**3 - 10*i**2 + i + 9. Let o be a(-10). What is the closest to o in x, 0.5, 0.1? x Let w be 15/((-6)/2) - -4. Let p be ((-4)/5)/(4/(-2)). What is the closest to -0.1 in p, -1/4, w? -1/4 Let o = 1 + -2. Let m = 82 + -657/8. Which is the closest to -2/7? (a) 1 (b) o (c) m c Let p be (6/9)/(-4*6/(-24)). Let i = -68.89 - -65.9. Let g = i - 0.01. Which is the closest to 0? (a) -0.1 (b) p (c) g a Let l be 2/4*(2 + -4). Let k = 0.1 + 0.9. What is the nearest to k in -4/5, 0.2, l? 0.2 Let w(y) = -2*y**3 + 4*y**2 + 2*y - 1. Let f be w(-2). Let l = f - 83/3. Let k = 0.11 + -4.11. What is the nearest to l in k, -5/2, 0.4? 0.4 Let p be 2/(-8) - (-38)/88. Let v be (2 - 8/3) + 10/(-3). What is the closest to 0 in p, -0.1, v? -0.1 Let i = 464382/7 - 66512. Let k = 172 + i. Let v = -429 + 428.8. What is the nearest to k in -2/15, v, -3? -2/15 Let z(t) = -t**2 + 7*t - 6. Let l be z(10). Let s be 9/l + 0 + 0. Which is the closest to 1? (a) s (b) -3 (c) -4 a Let b = -0.8 + -0.2. Let f = 2/17 - 64/255. What is the nearest to b in -0.3, f, -2? -0.3 Let f = 20 - 17. Let h(x) = x**3 + 3*x**2 - 2*x + 3. Let n be h(-4). Which is the closest to f? (a) -2/13 (b) n (c) 4/3 c Let m = 0.1 - -0.4. Let b = m + -5.5. Let j = b - -4.5. What is the nearest to 1/4 in 0, j, -1? 0 Let x(o) = -o**2 + 4*o + 2. Let a be x(4). Let z = -8 + 7.9. What is the nearest to -0.1 in a, z, 0? z Let x be ((-6)/4)/((-11)/(-22)) - 0. What is the closest to 3 in -2/7, x, 0.4? 0.4 Let d = 89/3 + -29. What is the nearest to 1 in d, 3, 6? d Let f = 4/55 + 74/495. Let z = 2.92 + 0.08. Let q = 2.4 - 0.4. What is the closest to q in z, f, 0? z Suppose 2*h = 0, -2*x = -3*x - 3*h. Let c = 9 - -4. Let p = c - 8. What is the nearest to x in 4, 1/5, p? 1/5 Let d(o) = o**3 + o**2 - 2*o - 1. Let b be d(-2). What is the nearest to b in 1/6, 3, 0? 0 Let y = -9/32 - 39/32. Let v = 2 + -1. Which is the nearest to v? (a) -0.15 (b) -0.3 (c) y a Let g = -1.13 - -0.83. Which is the closest to -0.1? (a) 1 (b) g (c) 4 b Let u = -0.06 - -0.06. Let m = 0.45 + -0.95. What is the closest to 0.1 in m, -1, u? u Let m = -8 + 7.92. Let x = 0.28 + m. Let t(y) = y**2 + 3*y - 2. Let s be t(-4). Which is the closest to -0.1? (a) x (b) s (c) 0.4 a Let d = -14.12 + 10.2. Let t = 4 + d. Let o = 3.08 - t. Which is the closest to 1? (a) o (b) -1/5 (c) 4/3 c Let k = -3 + 2.96. Let g = k - 1.96. Let i = 1.9 + g. Which is the nearest to i? (a) -2 (b) -0.3 (c) -0.4 b Let z be ((-6)/(-7) - 1)/1. Let u = 102 - 99. Which is the nearest to 2? (a) z (b) u (c) -4 b Let q(j) = -2*j**2 + 3*j + 2. Let v be (-1)/(-2)*(-14)/7. Let s be q(v). Which is the nearest to s? (a) -2/17 (b) 2 (c) 0.5 a Let z = -0.3 + 0.4. Let j = -5.8 - -13.6. Let y = -8 + j. Which is the closest to z? (a) -4 (b) 0 (c) y b Let s be 18/(-72) - (-2)/8. Which is the nearest to 1? (a) -3 (b) s (c) 0.3 c Let o = 0 + 0.1. Let b = 76 - 72. What is the closest to -1 in b, -2/11, o? -2/11 Let v = -611/7 - -87. Let l = 0.7 - 0.5. What is the closest to v in 3, l, -2/3? -2/3 Let q = -33 - -36. Which is the clo
{ "pile_set_name": "DM Mathematics" }
factor of b? False Suppose 0*d = 2*d - 4. Suppose d*z = 2*p - p - 22, -p = 3*z - 7. Is p a multiple of 7? False Does 15 divide (-7)/(14/(-45))*2? True Let j(l) = 2*l**2 + 2 - 3 + 6*l**3 + 0*l**2 + 0*l**2. Is j(1) a multiple of 3? False Is 7 a factor of (10/20)/((-1)/(-14))? True Suppose 2*j + 2*o = 5*j - 2, 0 = 5*j + 2*o - 30. Suppose 0 = j*p - 6*p + 132. Suppose 0*b + p = 3*b. Is 11 a factor of b? True Let j(z) be the first derivative of 2 + 1/4*z**4 + 1/2*z**2 - 2*z + 2*z**3. Is j(-4) a multiple of 13? True Suppose 12*y - 657 = 3*y. Is 38 a factor of y? False Let r = 3 + 4. Does 7 divide r? True Suppose 4*j = 508 - 124. Does 8 divide j? True Let g be (2 + -2)/(1 + -2). Suppose g*w + w = -1. Is (-1)/(w - 56/(-58)) a multiple of 26? False Let v = -1052 - -449. Let x be (-4)/(-14) - v/21. Suppose 4*h - 3*i - x = 0, 2*i = 3*h + 5*i - 48. Is 5 a factor of h? False Is 23 a factor of 1 - (-2)/((-4)/6) - -25? True Suppose 0 = -2*j + 8*j - 1098. Is 34 a factor of j? False Let o(c) = c**3 + c**2 + 19. Let d = 10 + -10. Does 7 divide o(d)? False Let h = 11 + -7. Suppose -3*s + 2*f = -7, -5*f = -4*s - h + 18. Does 11 divide s - (-15 + (2 - 3))? False Let p be 12/12 - 9*-1. Let d = p - -12. Does 11 divide d? True Let z(u) = -u**3 - 5*u**2 - 6*u. Does 10 divide z(-5)? True Let k(f) = -f**2 + 4*f - 4. Let v be k(3). Let n = 2 + 2. Is 4 a factor of (v/2)/(n/(-48))? False Suppose -2*s = -s - 75. Let o = 109 - s. Suppose r + 6 = o. Does 14 divide r? True Suppose 442 = 5*r - 2*s + 5*s, 4*r - 5*s - 361 = 0. Does 5 divide r? False Suppose -6*v - 2*v = -432. Does 6 divide v? True Let q = -324 + 482. Is q a multiple of 47? False Let t(a) = -2 + 3*a + 2. Let v be t(1). Let y = 16 - v. Is y a multiple of 6? False Let t = -152 + 362. Is 30 a factor of t? True Suppose 0 = -5*v + v + 132. Is 10 a factor of v? False Does 9 divide ((6*12)/4)/(4/2)? True Let c(t) = 7*t - 4. Let q be c(5). Suppose -g + 5*m + 32 = -0, 0 = 3*g - 2*m - q. Does 5 divide g? False Suppose -5*v + 3*a + 159 = -2*v, -41 = -v - 2*a. Is 7 a factor of v? True Suppose -u + 9 = -4*o - 3, 2*u = -4*o - 36. Let z(f) = -3*f - 1. Let i(a) = -4*a - 2. Let v(q) = 4*i(q) - 5*z(q). Is v(u) a multiple of 2? False Let q(y) = y**3 + 12*y**2 - 18*y - 17. Is 9 a factor of q(-13)? False Suppose 8*f = 4*f + 8. Let g be (16/10)/((-4)/(-10)). Suppose -u + 113 = f*m - 0*u, -m = -g*u - 34. Is m a multiple of 18? True Let n(w) = w**3 - 9*w**2 + 11*w - 18. Is 4 a factor of n(8)? False Let y(t) = 18*t**2 - t + 1. Let r = -6 - -7. Is 9 a factor of y(r)? True Suppose 5*q = -3*s + 2*q + 222, 3*q - 150 = -2*s. Suppose s = 4*o - 3*l, 2*l = -2*o + l + 26. Does 12 divide o? False Suppose -2*f + 308 = 2*f. Is 16 a factor of f? False Let w(u) = -u**3 - u**2 + 6. Suppose 0*a - 3*a = 0. Let d be w(a). Suppose -d*p + p + 35 = 0. Does 7 divide p? True Let x(j) = j + 9. Let q be x(6). Let n = -8 + q. Is 7 a factor of n? True Let m be (4 - -1)*1*1. Suppose 0*b + 2*b = 8. Suppose 0 = -v + b*s - 13 + 4, -m*s + 41 = 3*v. Is 3 a factor of v? False Let k(p) be the first derivative of -p**4/12 + 3*p**3/2 - 9*p**2/2 + p - 2. Let i(q) be the first derivative of k(q). Is i(6) a multiple of 9? True Let f = -14 + 146. Is f a multiple of 33? True Let b = 9 + -8. Is (b - 2)/((-2)/122) a multiple of 21? False Let k = -30 + 60. Is 9 a factor of k? False Let u(z) = 7*z**2 - 2*z + 1. Let b be u(1). Suppose -76 = -5*o - b. Does 7 divide o? True Suppose 3*w - 10 = w, -40 = -5*x - 5*w. Is 4 a factor of 1 + 6/x - -6? False Suppose 3*w - 1320 = -3*w. Does 22 divide w? True Let a be (-2)/(-1) + 1 + -5. Let y be a/4 - 9/6. Let n(u) = -u**3 + u**2 + u + 1. Is n(y) a multiple of 11? True Let y be -1 + (-1 - 1 - -5). Let h(c) = 50*c - 1. Is h(y) a multiple of 33? True Let b(p) = 2*p**2 - 4*p + 1. Is b(4) a multiple of 13? False Let d = -3 + 144. Is d a multiple of 29? False Suppose 0*f - 4*f = -3*w + 29, -3*f - 15 = 0. Suppose -44 = -4*d - w*n, -5*n + 40 = 4*d - n. Is 11 a factor of d? False Suppose 6*f - 144 = 5*f. Is 8 a factor of f? True Let l = -5 - -7. Suppose l = 3*d - 31. Does 3 divide d? False Let z = -6 + 16. Is z a multiple of 3? False Suppose 15 = -5*m - 0*m. Is m + (31 - 3/(-3)) a multiple of 11? False Let c be (-6)/8 + (-14)/(-8). Let q be c + (-3)/6*-74. Suppose q = 3*j - 3*p + 5*p, 3*j - 4*p - 68 = 0. Is j a multiple of 8? True Let p be 3*(-3)/(-6)*2. Suppose p*o + o = 100. Does 9 divide o? False Let d(f) = -2*f - 3*f - 4 - f**2 - 2*f. Let m be d(-6). Suppose 0 = -m*r + q + 89, -5*r + 2*q + 208 = -14. Does 19 divide r? False Let j(r) be the third derivative of r**5/60 + 5*r**4/8 - 7*r**3/6 - 4*r**2. Let t be j(-8). Let c = 105 + t. Does 21 divide c? True Suppose 0 = -3*m + 3*i + 6, 4*m + 5*i = 5*m + 10. Let l = 0 - m. Let r = l - -9. Does 2 divide r? True Let j be 6/4*(-132)/(-9). Let y = -12 + j. Is y a multiple of 10? True Let m be -4 - (-2 - (1 + -4)). Let w be (8 + m)/((-6)/(-8)). Does 9 divide (-62)/(-3) - w/(-12)? False Suppose 0 = h - 5*h + 120. Does 7 divide h? False Suppose -18*v = -10*v - 160. Is v a multiple of 4? True Let x = 8 + -5. Let l = x - 0. Is 2 a factor of 15/9 - (-1)/l? True Let o(q) = -q**2 - q + 3. Let k be o(-4). Let y = 25 + k. Let m = y + -11. Is 5 a factor of m? True Suppose 5*y + 1271 = -4*m, -5*y - 138 = 2*m + 485. Let b = 172 + m. Does 14 divide ((-3)/2)/(6/b)? False Suppose -3*y + 93 = 3*h, -171 = 3*h - 8*h + 3*y. Suppose -3*z = -h - 9. Does 14 divide z? True Let h(d) = -6*d + 0*d**2 + 3*d**2 + 6 - d. Does 13 divide h(5)? False Is 22 a factor of (-710)/(-6) - 9/(108/(-8))? False Let s(c) = c**2 + c - 3. Does 8 divide s(-6)? False Let h = 21 - 14. Suppose 1 = -t + h. Is t a multiple of 3? True Suppose v - 293 + 22 = 5*l, 0 = -5*l - 20. Is 45 a factor of v? False Is -1 - (-351)/(7 + -4) a multiple of 29? True Suppose 87 = 3*y - 0*c - c, 4*y - 2*c - 114 = 0. Is 6 a factor of y? True Suppose 1418 = -i + 6*i - 4*t, -1141 = -4*i + t. Does 22 divide i? True Let r = -1 - 0. Let v(s) = -17*s**3 - 6 + 7 - 2 - 2*s. Is v(r) a multiple of 9? True Let l = -10 - -4. Let o(r) = 2*r**2 + 9*r + 1. Is 12 a factor of o(l)? False Is 36 a factor of (2/(-4))/(9/(-648))? True Let b(x) = x**2 - x + 27. Is b(0) a multiple of 9? True Suppose 0*a - 45 = 5*a. Suppose 3*f + 338 = 5*f. Does 8 divide f/9 - 2/a? False Let p = 227 + -135. Does 21 divide p? False Let b be 10/8 + (-2)/8. Is 10 a factor of -2 + 2 - (-31 + b)? True Suppose 0 = 2*q + 8*q - 130. Is 3 a factor of q? False Suppose -9*y = -5*y - 12. Suppose -i - y*i + 104 = 0. Is 13 a factor of i? True Let d = 80 + -38. Does 16 divide d? False Suppose 5*i - 396 = -i. Does 11 divide i? True Let u = 598 + -388. Does 5 divide u? True Let u(p) be the first derivative of -p**2/2 - 4*p + 5. Is u(-6) even? True Suppose 5*g + x - 530 = 0, -x + 10 = x. Let f = g - 67. Is f a multiple of 20? False Let p be 11/3 - (-10)/(-15). Let i be ((-41)/2)/(p/(-6)). Suppose y - 5*q = i, 165 = 4*y + 5*q + 26. Does 15 divide y? False Suppose -180 = -3*c - c - o, 0 = 4*c + 5*o - 180. Suppose 4*d = -2*w + 108, 11 = 2*d + 2*w - c. Is d a multiple of 9? False Suppose 0 = 7*s - 2*s - 60. Does 4 divide s? True Let b = 4 + -1. Let m(v) = v**3 - 6*v**2 + 5*v + 2. Let c be m(5). Suppose 5*s - 5*g - 9 = 11, b*s = -c*g + 7. Is 2 a factor of s? False Is 26 a factor of (-41)/2*(-18 + 16)? False Suppose -5*f - 4 = 6, 3*d + 13 = f. Suppose 13 - 1 = -m - 4*o, -2*m + 5*o = 50. Let u = d - m. Does 15 divide u? True Let s(f) be the first derivative of f**3/3 - 3*f**2 - f + 4. Let a be s(9). Suppose -2*l + 4 = -a. Is 13 a factor of l? False Suppose 8*d + 4*f = 3*d + 16, 0 = 3*f + 3. Suppose 5*l - d*p = -p + 120, 0 = -2*l - p + 37. Is 19 a factor of l? False Let a be 0*(2 - 6/4). Suppose 0 = -u - y - y - 8, a = -2*y + 4. Does 20 divide ((-15)/u)/((-1)/(-16))? True Suppose 0 = -3*b - 5*x + 304, -5*b = 2*x + 40 - 515. Is b a multiple of 5? False Suppose -3 - 45 = k - 3*o, 0 = -5*o + 20. Let g = -16 - k. Is g a multiple of 20? True Does 10 divide 2862/24 - 3/12? False Suppose 4*z + 0*b = 5*b + 39, -42 = -4*z + 2*b. Let i(l) = l**2 - 5*l - 10. Is 14 a factor of i(z)? True Suppose -40 + 24 = -b. Does 3 divide b? False Let w(f) = -14*f**2 - 1. Let o be w(1). Is -69*(-2 - o/9) a multiple of 8? False Let t = 99 - 15. Suppose -2*i + t = i. Doe
{ "pile_set_name": "DM Mathematics" }
4189 Calculate 1074645663.359 + 7. 1074645670.359 Put together -79981.15 and 3.98052. -79977.16948 -1053873809 - 6198.76 -1053880007.76 Work out 127 - -46.65388404. 173.65388404 -1487475 - -934210 -553265 What is -53679721089 minus -3? -53679721086 Work out -5638100 - 66717992. -72356092 Calculate -4.1 + -12855256162. -12855256166.1 What is -2.4031 minus 8667324603? -8667324605.4031 Sum 146750187 and -1.395872. 146750185.604128 What is -3243642 - 487380? -3731022 Work out 0.0070031287 + 97202. 97202.0070031287 Put together -36624 and 188555.13. 151931.13 Sum 14711821188.21 and -7. 14711821181.21 What is the difference between 89608.5526 and -71990? 161598.5526 Add together 0 and 18216901626.6. 18216901626.6 What is 23.550253 take away 103219? -103195.449747 -1656611 - 56.13078 -1656667.13078 Total of 0.01 and 1409276178211.3. 1409276178211.31 What is the distance between 2745265017 and 25? 2745264992 What is 121 plus -883341.38813? -883220.38813 What is -3410497835.583 - 7? -3410497842.583 -33957 - 130146143 -130180100 Work out 823 + 6173614744. 6173615567 Total of 0.08 and 28503225954. 28503225954.08 Subtract 321858507 from -9035. -321867542 Work out 2.335302 - -19152.13. 19154.465302 Put together 41.2 and 4.0959580604. 45.2959580604 What is -2463.6 minus -9526221? 9523757.4 -35958115791 - -8 -35958115783 What is 17.9 take away 886907.1423? -886889.2423 342852+19002644.4 19345496.4 What is 159333374 + -562? 159332812 -70533972 - 487 -70534459 What is 20665975175 take away -0.09? 20665975175.09 Put together -12809136 and -53103114. -65912250 What is -57494347.91416 - 0.03? -57494347.94416 Calculate 738443458.4937 - 1.47. 738443457.0237 Sum 23419269 and 3.7906. 23419272.7906 What is 218 minus 402094910? -402094692 What is the distance between 121082964753955 and 0.4? 121082964753954.6 What is 183794 less than -15907.5931? -199701.5931 What is 15 minus -16790.878831? 16805.878831 Subtract 0.23 from 2949941347.68. 2949941347.45 What is -1939571996 minus 0.0995? -1939571996.0995 Calculate -299672.6 - 31023. -330695.6 Add together 1868095524 and 5729. 1868101253 550.8+-0.117289317 550.682710683 What is 0.371 less than -3595500534? -3595500534.371 What is the distance between 5441180372294 and -0.2? 5441180372294.2 Work out -1760722669 + 0.3. -1760722668.7 What is -11083596892 + 0.01119? -11083596891.98881 Add together -0.558 and -130377064782. -130377064782.558 What is -0.15 minus -297762563413? 297762563412.85 What is -4.588 take away 9000655? -9000659.588 Work out 411594265 + 201. 411594466 Add together 16815098 and -2.9216. 16815095.0784 What is -1.35 less than 115222.0238? 115223.3738 Put together 444 and 746080579. 746081023 0.340792987081 - -2.3 2.640792987081 Add together 0.0406 and -1602087526. -1602087525.9594 What is 1259310792323 plus 6? 1259310792329 Work out -67362 - 2640706691. -2640774053 5.1 - 237141247044 -237141247038.9 -283907922770 + -13.8 -283907922783.8 What is -420572956819 less than -11? 420572956808 What is -4812.6563828 take away 818? -5630.6563828 -11338.49 - -44723387 44712048.51 Subtract 43570208283 from -0.19. -43570208283.19 What is -0.1 - -20962296872177? 20962296872176.9 Work out 12412633167492 - -0.3. 12412633167492.3 Calculate 0.09982 - -2072432.422. 2072432.52182 -31632136 + -4039745 -35671881 Total of -0.6075 and 3016036163. 3016036162.3925 What is -64087232 plus 2347.287? -64084884.713 -16.0998213 - -2686 2669.9001787 What is the distance between -324.251 and 1001677230? 1001677554.251 -168151591 + 63909 -168087682 What is 435.96 plus 1430767? 1431202.96 What is -121624.84 + -1231? -122855.84 What is -142165.3531 take away 27180? -169345.3531 Calculate -0.2 - -52273827622. 52273827621.8 305+1445628.76822 1445933.76822 What is the difference between -6399872445 and -347? 6399872098 What is -48118.6 - -0.725063? -48117.874937 What is the difference between -59 and 18857485797? 18857485856 What is the difference between -40746.07 and 7534563.9? 7575309.97 What is -0.1 less than 10038995568021? 10038995568021.1 What is 8.2 plus -2013834.921458? -2013826.721458 Subtract 5.884400283654 from -2. -7.884400283654 Subtract 22993 from 1962331.35. 1939338.35 Add together 2741684 and 6.16848. 2741690.16848 -5845+-0.02929884461 -5845.02929884461 Sum 179969857370237 and 0.1. 179969857370237.1 220420280780361 - -1 220420280780362 Work out 2571.075 - 2794. -222.925 Sum 2159834105.17 and 5. 2159834110.17 -0.32 + -28784170595 -28784170595.32 What is -271402604.496 - 228? -271402832.496 Calculate 24803593537 - -22.6. 24803593559.6 Calculate 1.25 + 0.559928794. 1.809928794 What is 22 take away 2437.7458362? -2415.7458362 What is -2008398 minus 1015.8515? -2009413.8515 What is -311 - 1596658710952? -1596658711263 What is 4977620 + 5.277? 4977625.277 What is -2939 - 329961007.58? -329963946.58 What is -0.04 plus -2309180966329? -2309180966329.04 Add together -0.56813185803693 and -4. -4.56813185803693 What is 11 - 0.014536500532? 10.985463499468 What is the distance between 0.63 and 159.27790971233? 158.64790971233 -52720.176535291 - -4 -52716.176535291 What is -0.233 less than -255156148? -255156147.767 Sum -0.0681325038257 and 0.001. -0.0671325038257 Work out -507949322 + -17877. -507967199 Total of -2680.886149 and -535. -3215.886149 -15930033645 - -3 -15930033642 What is -0.004 - -147.8211762543? 147.8171762543 Sum -445368077 and 0.5981. -445368076.4019 Add 0.03 and 34850374788.5. 34850374788.53 What is 1573965568216 - 28? 1573965568188 Work out -1 + -5.8444289571. -6.8444289571 What is 14 take away -3123084138280? 3123084138294 1194355408 - 72708 1194282700 -37+-37750704130 -37750704167 Work out 18187225888681 + -10. 18187225888671 What is -94.186 + 5456735? 5456640.814 -486698.9214 + 61 -486637.9214 What is -0.0538 take away 2253690737? -2253690737.0538 What is 2421.7108948 less than -0.117? -2421.8278948 -1705 - -10564147926 10564146221 Add together 2641.96 and 162.68965. 2804.64965 Work out -0.4 - -2037371.0793953. 2037370.6793953 356494.476+235 356729.476 -705104+17100 -688004 Calculate 124398 - -42890773. 43015171 3+153475591.2612 153475594.2612 Total of -19301 and -177050734. -177070035 Add together -121731.257 and -7765. -129496.257 Put together -0.1 and 312449.17459. 312449.07459 Total of -2177.7978125007 and -0.068. -2177.8658125007 Sum -264830548.01 and -785.5. -264831333.51 Calculate 3.04310187 - -1136. 1139.04310187 Total of 10373086808 and -30.87. 10373086777.13 -27+-1527438374 -1527438401 What is -520009 plus 1009728? 489719 Work out -401 + 624535696.2. 624535295.2 Total of 324 and 65205519.4. 65205843.4 Work out 7260.472 + 17122993. 17130253.472 Sum 44.55999 and 4.49948. 49.05947 Work out -1615 + -10277914984. -10277916599 What is the distance between 18889.6 and -15285117? 15304006.6 What is -614.5 plus 5056.053209? 4441.553209 Put together -0.306330605472 and 18. 17.693669394528 Put together 930491 and -157580.68. 772910.32 Total of 81.576511 and 10.51. 92.086511 Add together -310663 and -7.70627107. -310670.70627107 Work out -131 + 18661587502. 18661587371 Put together -650656.567 and 641.8. -650014.767 What is 2250335141 + -2026? 2250333115 -2913545.767 + -0.24878 -2913546.01578 Work out -0.7447538 - 40768315. -40768315.7447538 What is the difference between -99.568 and -237342916? 237342816.432 Put together -0.4575316 and -28.66. -29.1175316 -0.023277676 + -635948 -635948.023277676 Add -528118358 and -7141. -528125499 What is the difference between 27.721451756194 and -0.4? 28.121451756194 Add -2355.92575775004 and -2. -2357.92575775004 Total of -71934 and -1314314. -1386248 What is -0.1892282394 plus -23711? -23711.1892282394 What is -2.06 - -22498640180? 22498640177.94 What is the difference between 127212 and 576571? 449359 What is the distance between -2340413.93874547 and -5? 2340408.93874547 Calculate -75025154596 - 39. -75025154635 Calculate -0.076 - -56183892530. 56183892529.924 What is 689.856795344 less than 0.311? -689.545795344 What is -96 take away 2736769210558? -2736769210654 What is 170149.8 minus -3125995? 3296144.8 What is the difference between -8928332360 and -34? 8928332326 Work out 1260990.2 + 11017. 1272007.2 -751474.8 + 2423515 1672040.2 Add -0.2 and -851665517948. -851665517948.2
{ "pile_set_name": "DM Mathematics" }
52*s(t). -13*t**2 Let z(o) = -2*o**2 + 3*o - 3. Let p be 4/(-10) - (-46)/(-10). Let c = p - -6. Let b(d) = d - 1. Determine c*z(r) - 3*b(r). -2*r**2 Let p(r) = -r**2 + r - 1. Let n(j) = 1. Let z be (4/(-6))/((-2)/(-12)). Let v = z - -5. Give v*n(f) - p(f). f**2 - f + 2 Let g(d) = -12*d**2 - 11*d - 11. Let f(k) = k**2 + k + 1. Calculate -22*f(m) - 2*g(m). 2*m**2 Let i(m) = 1 - 1 - m**3 + m. Suppose 0 = 12*t - 7*t - 5. Let s(n) be the first derivative of n**2/2 + 1. What is t*s(v) - i(v)? v**3 Let p(k) = -4*k + 16. Let y(h) = -h + 5. What is 5*p(u) - 16*y(u)? -4*u Let p(u) = 8*u + 4. Let o(b) = -b. Let y(l) = 24*o(l) + 2*p(l). Suppose 0 = -3*j - j + 8. Let r(q) = 7 - j + 12 - 17*q. Determine -6*r(k) + 13*y(k). -2*k + 2 Suppose -2*k - 3*a + 22 = 0, -4*k = -a - 2*a - 8. Let d(p) = -k*p**2 - 2*p + 3*p**2 - 2*p**2. Let x(l) = -l**2. Give -d(t) + 6*x(t). -2*t**2 + 2*t Let c(n) = 5*n**3 + 6*n**2 + 9*n - 2. Let m(o) = -9*o**3 - 11*o**2 - 17*o + 3. Give -11*c(l) - 6*m(l). -l**3 + 3*l + 4 Let h(t) = -2*t**3 + 7*t**2 - 7*t + 7. Suppose 3 = -2*n - 3. Let s = -9 - n. Let x(a) = a**3 - 1 + 0*a - 3*a**2 - 1 - 1 + 3*a. What is s*h(l) - 14*x(l)? -2*l**3 Let a(s) = 6*s - 2*s - 12*s**2 + 13*s**2 + 3*s. Let n(g) = -g**2 - 6*g. Suppose -5*d + 6 = -9. Let w be ((-12)/(-2))/(d + -2). Give w*a(x) + 7*n(x). -x**2 Let a(l) = -6*l + 7. Let m(y) = 5*y - 7. Give 3*a(r) + 4*m(r). 2*r - 7 Let u(x) = -325*x. Let j(c) = 31*c. Determine -52*j(k) - 5*u(k). 13*k Let b(a) = -a**2 + 1. Let n(p) = 3*p**2 - 4*p + 2. Let t(c) = 2*b(c) - n(c). Let u(m) = -6*m**2 + 5*m. Determine -5*t(x) + 4*u(x). x**2 Let h(k) = 7*k + 3. Let q(y) = 17*y + 9. Let r(u) = -8*u - 4. Let a(b) = 2*q(b) + 5*r(b). Determine -5*a(m) - 4*h(m). 2*m - 2 Let u(a) = -a**2 - 13. Let h(g) = -6. Calculate -13*h(q) + 6*u(q). -6*q**2 Let f(y) = y**2 + 6*y + 2. Let g(o) = 7*o**2 - 3*o - 3. Let a(c) = 10*c**2 - 4*c - 4. Let b(i) = 5*a(i) - 7*g(i). Calculate 2*b(w) - f(w). w**2 - 4*w Let h(x) = x**2 - x - 1. Let b(s) be the third derivative of s**6/40 - s**5/12 + s**4/8 + s**3 + 15*s**2 + 3. Determine b(k) + 5*h(k). 3*k**3 - 2*k + 1 Let v(t) = 17. Let l(h) = h - 17. Give 2*l(o) + 3*v(o). 2*o + 17 Let j(u) = 32*u - 12. Let z(w) = 19*w + 1. Let y(i) = 18*i. Let c(b) = -6*y(b) + 5*z(b). Calculate 12*c(o) + 5*j(o). 4*o Let d(a) be the first derivative of -a**2/2 + 2*a + 1. Let x(z) = z - 2. Let i be 6/(-4)*(-4 - -6). Calculate i*x(u) - 4*d(u). u - 2 Let j(k) = 23*k**3 - 5*k**2 - 7*k. Let z(g) = -12*g**3 + 2*g**2 + 3*g. What is -2*j(w) - 5*z(w)? 14*w**3 - w Let m(p) = -330*p - 121. Let t(c) = -11*c - 4. Calculate 4*m(r) - 121*t(r). 11*r Let n(w) = -6*w**3 - 11*w**2 - 11*w + 11. Let t(p) = p**3 + p**2 + p - 1. Give -2*n(x) - 22*t(x). -10*x**3 Let k(f) be the first derivative of 0*f**3 + 2*f - 3 - 5/2*f**2 + 3/4*f**4. Let l(g) = -5*g**3 + 9*g - 4. Calculate -7*k(u) - 4*l(u). -u**3 - u + 2 Let q(m) = -m. Let i(x) = 8*x**2 - 4*x - 1. Give i(s) - 4*q(s). 8*s**2 - 1 Let u(s) = 18*s + 1. Let h(m) = 18*m + 2. Give 3*h(o) - 4*u(o). -18*o + 2 Let n(v) = v**3 - 2*v**2 - 2*v + 4. Let x(m) = -m**3 + 2*m**2 + m - 3. Let f = 29 + -32. Calculate f*n(z) - 4*x(z). z**3 - 2*z**2 + 2*z Let m(q) = 3*q**2 + 1. Let l(d) = -2*d**2 - 1. What is 2*l(g) + 3*m(g)? 5*g**2 + 1 Let t(f) = -26. Let w(n) = n**2 + 1. What is -2*t(u) - 52*w(u)? -52*u**2 Suppose 0 = -4*h + 3*d + 17, -7 = -2*h - 2*d + 5. Let g(r) = 4*r + 4. Let a(w) = -w - 1. Give h*a(z) + g(z). -z - 1 Let t be 20/4 + 1/(-1). Let a(r) = -3*r**2 + 11*r. Let h(u) = 22 - 4*u - 22 + u**2. What is t*a(p) + 11*h(p)? -p**2 Let d(p) = -6*p. Let t(h) = 5*h. Let i(b) = 6*d(b) + 7*t(b). Let s = 18 + -12. Let w(o) = 1 + o - 1. Give s*w(x) + 5*i(x). x Let u(h) = 2*h**3 - 7*h**2 + 4*h - 11. Let z(s) = s**3 - 4*s**2 + 2*s - 6. Determine 4*u(v) - 7*z(v). v**3 + 2*v - 2 Let o(n) = -n + 1. Let v(x) = 12*x - 12. Let d = -21 - -23. Determine d*v(i) + 22*o(i). 2*i - 2 Let n(g) = g**3 + g**2 - g - 1. Let b(o) = -5*o**3 - 3*o**2 + 4*o + 3. Give b(a) + 3*n(a). -2*a**3 + a Let z(j) = -2*j**2 + 11*j - 3. Let h(n) = -2*n**2 + 11*n - 3. What is -4*h(m) + 5*z(m)? -2*m**2 + 11*m - 3 Suppose 2*d = 3*n + 6, -3*d + 2*n + 9 = -2*n. Let i = -4 + 6. Let a(m) = -m + 0 - 2*m**i - d - m**2. Let f(u) = u**2 + u + 1. Calculate a(p) + 2*f(p). -p**2 + p - 1 Let h(i) = 2*i + 3. Suppose -25*o = -27*o - 10. Let c(u) = -3*u - 4. What is o*h(b) - 4*c(b)? 2*b + 1 Let w(a) = 118*a**3 + 16*a**2 + 16. Let u(f) = -39*f**3 - 5*f**2 - 5. Calculate 16*u(c) + 5*w(c). -34*c**3 Let s = 1 + 8. Let p(i) = -5*i + s - i + 1 + 0*i. Let c(v) = -2*v + 3. Determine 7*c(z) - 2*p(z). -2*z + 1 Let f(a) = a + 11 - 6 - 2*a. Let d be (0 + 3)/(1 + -2). Let y(j) = 1. Calculate d*y(b) + f(b). -b + 2 Let w(y) = -4*y**2 - 2. Let j(p) = 12*p**2 + 7. Calculate -4*j(f) - 14*w(f). 8*f**2 Let u(m) = -5*m - 17. Let b(q) = -2*q - 6. What is 8*b(w) - 3*u(w)? -w + 3 Let w(c) = -c. Let o(p) = -2*p**2 + 4*p + 1. What is o(r) + 5*w(r)? -2*r**2 - r + 1 Let p(v) = 7*v - 4. Let k(d) = -1 - 3*d - d + 5*d. Let l be -1 + (-3)/((-3)/2). What is l*p(m) - 5*k(m)? 2*m + 1 Suppose 0*l - 15 = 3*r + 3*l, 2*l = -r - 7. Let x(z) = -z**3 - 2*z. Let h(u) be the first derivative of -u**4/2 - u**3/3 - 3*u**2/2 - 6. Give r*x(s) + 2*h(s). -s**3 - 2*s**2 Let q = -15 - -16. Let l(p) = -p + 1. Let n(b) = -4*b + 6. Give q*n(v) - 5*l(v). v + 1 Let r(q) = -4*q - 2. Let d(z) = 9*z + 5. Suppose -3*h - 4*a = 7, -2*a = h + 3 - 2. Determine h*r(n) - 2*d(n). 2*n Let l(z) be the third derivative of -z**4/24 + z**3/2 + 4*z**2. Suppose 0*j + 3*j = 12. Let w(i) = -1. What is j*w(r) + l(r)? -r - 1 Let n(o) = 13*o - 3. Let k(v) = -13*v + 2. Give 5*k(l) + 4*n(l). -13*l - 2 Let r(t) = -t**3 + 5*t**2 - 5*t + 6. Let x(w) = -w - 7. Let g be x(-8). Let c(m) = m**2 - m + 1. What is g*r(u) - 5*c(u)? -u**3 + 1 Let n(h) = 15*h**2 + 11*h - 15. Suppose 8 = -2*c, 2*j + 5*c = -6 - 10. Let y(i) = j*i**2 + 6*i**2 + 3*i**2 + 6*i - 3*i**2 - 8. What is -6*n(r) + 11*y(r)? -2*r**2 + 2 Let n(i) = 4*i**2 - 2*i. Suppose -3*u = -6*u + 12. Suppose -3 = u*f - f. Let v be f/(2 + (-9)/6). Let d(p) = -9*p**2 + 5*p. Determine v*d(x) - 5*n(x). -2*x**2 Let q(g) = 2*g + 6. Let z be -1 + 5*(-10)/(-25). Let o(l) = l + 1. What is z*q(j) - 4*o(j)? -2*j + 2 Let h(n) = -n**2 - 2*n - 2. Let i be h(-2). Let m(c) = -4*c + 1. Let l(r) = -r. What is i*l(j) + m(j)? -2*j + 1 Let l(b) = -2*b + 7. Let z(p) = -3*p + 14. Calculate 5*l(s) - 3*z(s). -s - 7 Let t(m) = 6*m. Let v be 144/14 + (-4)/14. Let k(l) = 1 - 1 - 2*l. Let n(y) = -2*y + 1. Let a be n(-1). Give a*t(f) + v*k(f). -2*f Let d(b) = 2*b**3 + 6*b + 5. Let p(x) = x**3 + 3*x + 3. Give 3*d(a) - 5*p(a). a**3 + 3*a Let y(f) = 4*f - 5. Let p(l) = -9*l + 11. Let j = 20 + -16. Suppose 2*i - 3*d + 23 = 0, j*i = d - 63 + 12. Give i*y(g) - 6*p(g). 2*g - 1 Let x(d) = -13*d + 5. Suppose -2*z = 2*z - 12. Suppose z*i - 3*p + 39 = -0*p, 4 = p. Let n(c) = 6*c - 2. Calculate i*n(t) - 4*x(t). -2*t - 2 Let k(g) = -6*g**3 + 7*g**2 - 7. Suppose 5*f + 40 = -m, -7*m = 5*f - 3*m + 55. Suppose -4*u = 2*u - 36. Let v(n) = -5*n**3 + 6*n**2 - 6. Give f*v(y) + u*k(y). -y**3 Let m(b) = -b + 5. Let y be m(7). Let x be y - 4/(8/(-6)). Let p(g) = -4*g**2 - g - 4. Let j(n) = n**2 + 1. Calculate x*p(k) + 5*j(k). k**2 - k + 1 Let b(z) = -z**2 - 2. Let n(v) = -1. Calculate b(j) + 6*n(j). -j**2 - 8 Let y(u) be the third derivative of -3*u**5/20 + u**4/6 + 2*u**3/3 - 3*u**2. Let s(o) = 13*o**2 - 4 + 4 - 6*o - 6. Calculate 5*s(k) + 7*y(k). 2*k**2 - 2*k - 2 Let d(o) = -85*o**3 + 9*o**2 + 9*o + 9. Let v(j) = 21*j**3 - 2*j**2 - 2*j - 2. Give -2*d(u) - 9*v(u). -19*u**3 Let g(v) = 12*v**2 + 12*v - 15. Let k(c) = -25*c**2 - 24*c + 29. Let z(w) = -5*g(w) - 3*k(w). Let a(j) = -j**2 - j + 1. What is -12*a(l) - z(l)? -3*l**2 Let x(p) = 5*p**3 + 8*p**2 + 7. Suppose 28 = 5*a - 2. Let w(j) = 4*j**3 + 7*j**2 + 6. Calculate a*x(z) - 7*w(z). 2*z**3 - z**2 Let k(a) = -a**3 + 60*a**2 - 7*a. Let d(x) = x**3 - 40*x**2 + 5*x. Give 7*d(o) + 5*k(o). 2*o**3 + 20*o**2 Let i(u) = -21*u**3 + 5*u**2 - 5*u + 5. Let n(c) = -221*c**3 + 52*c**2 - 52*c + 52. Determine -52*i(s) + 5*n(s). -13*s**3 Let w(s) = -8*s + 6. Let b(f) = -7*f + 5. Determine -4*b(g) + 3*w(g). 4*g - 2 Let f(p) = -p**2 - 2*p - 1. Let r(i) = -2*i - 1. Determine -7*f(j) + 6*r(j). 7*j**2 + 2*j + 1 Let m(k) = 34*k +
{ "pile_set_name": "DM Mathematics" }
4, -24684, -42610, -67608, -100854? -196*n**3 - 8*n**2 - 2*n + 26 What is the m'th term of 1765, 3619, 5473, 7327, 9181? 1854*m - 89 What is the w'th term of 2205, 4406, 6605, 8802? -w**2 + 2204*w + 2 What is the t'th term of -1057144, -1057146, -1057148? -2*t - 1057142 What is the k'th term of -8, -83, -346, -911, -1892, -3403, -5558, -8471? -19*k**3 + 20*k**2 - 2*k - 7 What is the s'th term of 475, 877, 1279? 402*s + 73 What is the m'th term of 242, 810, 1710, 2948, 4530, 6462, 8750, 11400? m**3 + 160*m**2 + 81*m What is the j'th term of 80931, 161865, 242799, 323733, 404667, 485601? 80934*j - 3 What is the f'th term of 963, 1879, 2787, 3687, 4579? -4*f**2 + 928*f + 39 What is the h'th term of -194, -520, -976, -1562, -2278, -3124, -4100? -65*h**2 - 131*h + 2 What is the o'th term of 24766, 24768, 24780, 24808, 24858, 24936, 25048? o**3 - o**2 - 2*o + 24768 What is the w'th term of 5461, 5439, 5417, 5395, 5373? -22*w + 5483 What is the f'th term of -218, 68, 860, 2416, 4994, 8852, 14248? 43*f**3 - 5*f**2 - 256 What is the k'th term of -1881, -1854, -1827, -1800, -1773? 27*k - 1908 What is the p'th term of -14, 38, 110, 202? 10*p**2 + 22*p - 46 What is the h'th term of -30427, -60859, -91277, -121675, -152047, -182387, -212689? h**3 + h**2 - 30442*h + 13 What is the p'th term of 351666, 351665, 351664, 351663? -p + 351667 What is the x'th term of -1345, -1324, -1257, -1120, -889, -540? 4*x**3 - x**2 - 4*x - 1344 What is the q'th term of 101, 214, 373, 602, 925? 4*q**3 - q**2 + 88*q + 10 What is the o'th term of 10, -123, -254, -383, -510, -635, -758? o**2 - 136*o + 145 What is the m'th term of -29361, -29365, -29371, -29379, -29389, -29401, -29415? -m**2 - m - 29359 What is the v'th term of 526, 2082, 4676, 8308? 519*v**2 - v + 8 What is the g'th term of 50, 117, 228, 383? 22*g**2 + g + 27 What is the l'th term of 88932, 177862, 266792? 88930*l + 2 What is the i'th term of -676, -713, -750, -787, -824, -861? -37*i - 639 What is the z'th term of -1106, -1095, -1072, -1037, -990, -931? 6*z**2 - 7*z - 1105 What is the v'th term of 144, 447, 926, 1581, 2412, 3419, 4602? 88*v**2 + 39*v + 17 What is the c'th term of -497, -1447, -2397, -3347, -4297? -950*c + 453 What is the t'th term of -2576, -2811, -3046, -3281, -3516? -235*t - 2341 What is the r'th term of 192847, 192849, 192851? 2*r + 192845 What is the s'th term of -1465, -1447, -1421, -1387? 4*s**2 + 6*s - 1475 What is the n'th term of 396, 377, 344, 291, 212, 101, -48? -n**3 - n**2 - 9*n + 407 What is the z'th term of 20708, 20757, 20838, 20951, 21096, 21273? 16*z**2 + z + 20691 What is the h'th term of 1202, 9626, 32490, 77012, 150410, 259902, 412706? 1203*h**3 + 2*h**2 - 3*h What is the x'th term of 15106, 120742, 407468, 965830, 1886374, 3259646? 15091*x**3 - x**2 + 2*x + 14 What is the t'th term of 11, 3, -11, -31, -57, -89, -127? -3*t**2 + t + 13 What is the b'th term of 384, 855, 1526, 2499, 3876? 17*b**3 - 2*b**2 + 358*b + 11 What is the i'th term of -150, -1277, -4342, -10311, -20150, -34825, -55302, -82547? -161*i**3 - 3*i**2 + 9*i + 5 What is the h'th term of -104, -198, -308, -434, -576? -8*h**2 - 70*h - 26 What is the l'th term of -24, -219, -760, -1821, -3576, -6199? -29*l**3 + l**2 + 5*l - 1 What is the t'th term of -2043, -8156, -18345, -32610? -2038*t**2 + t - 6 What is the j'th term of 1213128, 2426265, 3639412, 4852575, 6065760, 7278973? j**3 - j**2 + 1213133*j - 5 What is the x'th term of -1419, -2500, -3581? -1081*x - 338 What is the l'th term of -12317, -12278, -12239, -12200, -12161, -12122? 39*l - 12356 What is the k'th term of 224, 211, 210, 227, 268, 339? k**3 - 20*k + 243 What is the d'th term of 6042, 6012, 5982, 5952, 5922, 5892? -30*d + 6072 What is the s'th term of 3628089, 3628088, 3628087? -s + 3628090 What is the v'th term of 670, 1288, 1862, 2368, 2782, 3080, 3238? -4*v**3 + 2*v**2 + 640*v + 32 What is the n'th term of -2, 403, 1506, 3661, 7222, 12543, 19978? 59*n**3 - 5*n**2 + 7*n - 63 What is the p'th term of -2200, -981, 236, 1451, 2664? -p**2 + 1222*p - 3421 What is the u'th term of -30978, -30974, -30968, -30960, -30950, -30938? u**2 + u - 30980 What is the c'th term of -662, -1118, -1586, -2072, -2582? -c**3 - 449*c - 212 What is the n'th term of 743, 1649, 2731, 3989, 5423, 7033? 88*n**2 + 642*n + 13 What is the b'th term of 11577, 46334, 104257, 185340, 289577? -b**3 + 11589*b**2 - 3*b - 8 What is the f'th term of 1995, 2112, 2229? 117*f + 1878 What is the z'th term of 37, 212, 533, 1012, 1661, 2492, 3517, 4748? 2*z**3 + 61*z**2 - 22*z - 4 What is the q'th term of 232, 226, 208, 172, 112, 22? -q**3 + q + 232 What is the r'th term of 378839, 757689, 1136539, 1515389, 1894239? 378850*r - 11 What is the n'th term of -61, -95, -177, -307, -485, -711, -985? -24*n**2 + 38*n - 75 What is the i'th term of 8, 27, 96, 245, 504, 903, 1472? 5*i**3 - 5*i**2 - i + 9 What is the j'th term of -12657, -25317, -37977, -50637, -63297, -75957? -12660*j + 3 What is the y'th term of -86, -196, -372, -626, -970, -1416, -1976, -2662? -2*y**3 - 21*y**2 - 33*y - 30 What is the x'th term of -45622, -91309, -136996, -182683? -45687*x + 65 What is the n'th term of 332, 1361, 3080, 5495, 8612, 12437, 16976, 22235? n**3 + 339*n**2 + 5*n - 13 What is the k'th term of -47, -160, -273, -386, -499? -113*k + 66 What is the h'th term of -169, -291, -369, -403? 22*h**2 - 188*h - 3 What is the s'th term of -53, -69, -83, -101, -129, -173, -239? -s**3 + 7*s**2 - 30*s - 29 What is the l'th term of -828178, -1656356, -2484534, -3312712, -4140890, -4969068? -828178*l What is the w'th term of 149, 265, 403, 569, 769, 1009, 1295? w**3 + 5*w**2 + 94*w + 49 What is the a'th term of 7009, 6988, 6967, 6946, 6925, 6904? -21*a + 7030 What is the i'th term of -1999, -2118, -2449, -3100, -4179, -5794, -8053, -11064? -18*i**3 + 2*i**2 + i - 1984 What is the y'th term of -78097, -78099, -78101, -78103? -2*y - 78095 What is the j'th term of -603, -541, -427, -255, -19, 287? j**3 + 20*j**2 - 5*j - 619 What is the x'th term of -13094, -13102, -13108, -13112, -13114? x**2 - 11*x - 13084 What is the n'th term of -853, -3976, -9183, -16474, -25849, -37308, -50851? -1042*n**2 + 3*n + 186 What is the k'th term of -1759, -3428, -5123, -6856, -8639? -2*k**3 - k**2 - 1652*k - 104 What is the q'th term of -1045, -4153, -9323, -16543, -25801? 2*q**3 - 1043*q**2 + 7*q - 11 What is the i'th term of -126, -98, -72, -66, -98, -186, -348? -3*i**3 + 17*i**2 - 2*i - 138 What is the k'th term of 215904, 431810, 647716, 863622, 1079528, 1295434? 215906*k - 2 What is the a'th term of -70430, -140869, -211308, -281747? -70439*a + 9 What is the c'th term of 57, 201, 583, 1317, 2517? 19*c**3 + 5*c**2 - 4*c + 37 What is the w'th term of -3179, -12691, -28545, -50741, -79279, -114159? -3171*w**2 + w - 9 What is the m'th term of 172, 1024, 2444, 4426, 6964, 10052, 13684, 17854? -m**3 + 290*m**2 - 11*m - 106 What is the c'th term of -2668, -2626, -2572, -2512, -2452? -c**3 + 12*c**2 + 13*c - 2692 What is the b'th term of -2704690, -5409383, -8114078, -10818775, -13523474, -16228175? -b**2 - 2704690*b + 1 What is the z'th term of -812, -1634, -2460, -3284, -4100? z**3 - 8*z**2 - 805*z What is the i'th term of 76869, 153736, 230603, 307470? 76867*i + 2 What is the z'th term of -1328, -5871, -13434, -24011, -37596, -54183? z**3 - 1516*z**2 - 2*z + 189 What is the b'th term of 292, 591, 916, 1279, 1692, 2167, 2716? 2*b**3 + b**2 + 282*b + 7 What is the t'th term of 9024, 18024, 27024, 36024, 45024? 9000*t + 24 What is the h'th term of 167, -453, -1485, -2929, -4785, -7053, -9733? -206*h**2 - 2*h + 375 What is the w'th term of -234, -1018, -2322, -4146, -6490, -9354, -12738? -260*w**2 - 4*w + 30 What is the y'th term of -273, -363, -453, -543, -633, -723? -90*y - 183 What is the c'th term of -2482, -10024, -22598, -40204, -62842, -90512, -123214? -2516*c**2 + 6*c + 28 What is the l'th term of 102, 108, 94, 54, -18, -128? -l**3 - 4*l**2 + 25*l + 82 What is the j'th term of -25179, -25178, -25177, -25176? j - 25180 What is the q'th term of 85, 160, 215, 244, 241? -q**3 - 4*q**2 + 94*q - 4 What is the g'th term of -601165, -1202337, -1803509, -2404681, -3005853? -601172*g + 7 What is the h'th term of -3925, -7815, -11705, -15595, -19485
{ "pile_set_name": "DM Mathematics" }
-46.983 rounded to one dp? -47 Round -0.0091 to 2 decimal places. -0.01 Round 0.17119 to two decimal places. 0.17 Round -0.0032882 to three decimal places. -0.003 Round -8484.4 to the nearest one thousand. -8000 Round -0.00161 to four decimal places. -0.0016 Round -24290 to the nearest 1000. -24000 Round -12340 to the nearest 1000. -12000 What is -0.00006151 rounded to 6 dps? -0.000062 What is -0.61386 rounded to 2 dps? -0.61 Round -0.000000642 to 6 dps. -0.000001 What is 43.9 rounded to zero dps? 44 What is 0.001558 rounded to four decimal places? 0.0016 What is -0.05687 rounded to three decimal places? -0.057 Round -1.7595 to 1 decimal place. -1.8 What is -419120 rounded to the nearest one hundred thousand? -400000 What is -11820000 rounded to the nearest 100000? -11800000 Round -0.00025386 to four decimal places. -0.0003 What is 12810000 rounded to the nearest one hundred thousand? 12800000 Round 0.00181627 to five decimal places. 0.00182 What is -0.000065458 rounded to 7 dps? -0.0000655 Round 0.01023 to 4 dps. 0.0102 What is 7516000 rounded to the nearest 100000? 7500000 What is 1003 rounded to the nearest 10? 1000 What is -18.984 rounded to the nearest integer? -19 What is 78838 rounded to the nearest ten thousand? 80000 What is -6.671 rounded to zero dps? -7 What is 1234.51 rounded to the nearest integer? 1235 What is -3.202 rounded to the nearest integer? -3 Round 0.000000395 to seven decimal places. 0.0000004 Round -0.0003246 to 5 dps. -0.00032 What is -0.17583 rounded to 2 dps? -0.18 What is 541.7 rounded to the nearest ten? 540 Round 53.05 to 0 decimal places. 53 What is -2865000 rounded to the nearest one million? -3000000 Round 0.014615 to 2 decimal places. 0.01 What is -6053000 rounded to the nearest 100000? -6100000 What is 0.0293356 rounded to 3 decimal places? 0.029 What is -1607000 rounded to the nearest 100000? -1600000 Round 86.17 to the nearest integer. 86 Round 0.0000102 to 6 dps. 0.00001 What is 3177.7 rounded to the nearest one hundred? 3200 Round 0.00001689 to 5 decimal places. 0.00002 What is 47170 rounded to the nearest 10000? 50000 What is -0.0048282 rounded to five dps? -0.00483 What is -0.00092877 rounded to six decimal places? -0.000929 Round 335840000 to the nearest one million. 336000000 Round 0.00001136 to 6 dps. 0.000011 What is -0.000003538 rounded to seven decimal places? -0.0000035 Round 0.002548 to 4 dps. 0.0025 Round -4810000 to the nearest 100000. -4800000 What is -0.0561589 rounded to three decimal places? -0.056 What is 17872000 rounded to the nearest 100000? 17900000 Round 26460 to the nearest 1000. 26000 What is -0.00004735 rounded to five dps? -0.00005 Round -0.01372 to two decimal places. -0.01 Round 0.00008407 to 5 dps. 0.00008 What is -0.001925 rounded to 3 decimal places? -0.002 What is 168720 rounded to the nearest ten thousand? 170000 Round -0.0328 to three decimal places. -0.033 Round 0.003125 to four decimal places. 0.0031 Round -0.000043761 to 6 dps. -0.000044 What is 14304900 rounded to the nearest 1000000? 14000000 What is 0.04026 rounded to 3 dps? 0.04 What is 25581000 rounded to the nearest 100000? 25600000 Round -18528 to the nearest one hundred. -18500 What is 545700 rounded to the nearest ten thousand? 550000 What is -6.28375 rounded to one dp? -6.3 What is 0.0002316 rounded to 5 decimal places? 0.00023 Round 30610 to the nearest 10000. 30000 What is -0.0003428 rounded to 5 decimal places? -0.00034 What is 0.000000605 rounded to six dps? 0.000001 What is 0.016477 rounded to three dps? 0.016 What is 1614.8 rounded to the nearest 10? 1610 What is -0.00000039152 rounded to seven dps? -0.0000004 Round 0.0002784 to 4 decimal places. 0.0003 What is 0.01013 rounded to 4 dps? 0.0101 Round 5.992 to one dp. 6 Round -0.007321 to 4 dps. -0.0073 What is -1.8136 rounded to 1 dp? -1.8 What is -357.345 rounded to the nearest 10? -360 Round -310562000 to the nearest one million. -311000000 What is -0.6619 rounded to two dps? -0.66 What is -32.689 rounded to zero dps? -33 Round 0.002304 to four decimal places. 0.0023 Round 26.2 to the nearest one hundred. 0 What is -4.416 rounded to 1 decimal place? -4.4 Round 0.00006319 to five dps. 0.00006 Round -518930000 to the nearest one million. -519000000 Round 0.00074 to 3 decimal places. 0.001 What is -21574 rounded to the nearest 1000? -22000 Round 303200 to the nearest 10000. 300000 What is -140.93 rounded to the nearest ten? -140 Round 58045000 to the nearest one million. 58000000 Round -0.0001816 to five decimal places. -0.00018 What is 14118 rounded to the nearest 1000? 14000 What is 0.000010649 rounded to 6 decimal places? 0.000011 What is -126.4 rounded to the nearest integer? -126 What is -1049.1 rounded to the nearest ten? -1050 What is -0.005517 rounded to 4 dps? -0.0055 What is -8.717 rounded to the nearest integer? -9 What is -26500 rounded to the nearest one thousand? -27000 What is 97655 rounded to the nearest 100? 97700 What is -3236.6 rounded to the nearest one hundred? -3200 Round -0.0000037621 to 7 dps. -0.0000038 Round -186.026 to the nearest ten. -190 Round -1690600 to the nearest 100000. -1700000 Round -0.38003 to three decimal places. -0.38 Round 0.0166 to 3 dps. 0.017 What is -0.0000014686 rounded to 6 decimal places? -0.000001 What is -32.4 rounded to the nearest ten? -30 What is 0.000028407 rounded to 5 dps? 0.00003 Round -320040 to the nearest 10000. -320000 What is -962000 rounded to the nearest one hundred thousand? -1000000 Round -306.5 to the nearest 10. -310 Round 0.02852 to 2 decimal places. 0.03 Round -0.024457 to four dps. -0.0245 What is -381910 rounded to the nearest 100000? -400000 What is 0.02796 rounded to three decimal places? 0.028 What is -53300 rounded to the nearest 1000? -53000 Round -984160 to the nearest ten thousand. -980000 What is -1988 rounded to the nearest 100? -2000 What is -1.129 rounded to 1 decimal place? -1.1 Round -10.18 to 0 dps. -10 Round -0.196 to two decimal places. -0.2 Round 0.015625 to 4 dps. 0.0156 What is -0.000038925 rounded to 7 decimal places? -0.0000389 Round -14616.2 to the nearest one thousand. -15000 What is -0.00121726 rounded to four decimal places? -0.0012 Round 645500 to the nearest 10000. 650000 Round -924.45 to the nearest integer. -924 Round -233760 to the nearest ten thousand. -230000 Round -1694.1 to the nearest one hundred. -1700 What is -185.3 rounded to the nearest ten? -190 What is -25.32 rounded to 0 decimal places? -25 Round -517470 to the nearest 1000. -517000 What is 0.092674 rounded to 2 decimal places? 0.09 Round -0.10219 to two dps. -0.1 What is -227330 rounded to the nearest one hundred thousand? -200000 What is 0.0341618 rounded to 4 dps? 0.0342 What is -8.01 rounded to the nearest integer? -8 What is 0.0000671 rounded to four decimal places? 0.0001 What is -149900 rounded to the nearest 10000? -150000 Round -12063000 to the nearest one million. -12000000 Round -382120 to the nearest 1000. -382000 What is -2940000 rounded to the nearest one hundred thousand? -2900000 Round -9947.6 to the nearest one hundred. -9900 What is 0.0020326 rounded to 4 dps? 0.002 Round -0.0000863 to six decimal places. -0.000086 What is 8.4 rounded to the nearest integer? 8 What is 1.363 rounded to 1 dp? 1.4 What is 0.06408 rounded to three decimal places? 0.064 What is -6.891 rounded to zero decimal places? -7 Round 0.922 to two decimal places. 0.92 What is -52 rounded to the nearest one hundred? -100 What is 0.0001 rounded to four decimal places? 0.0001 What is 1419600 rounded to the nearest 1000000? 1000000 What is -59.3 rounded to the nearest integer? -59 Round -71 to the nearest ten. -70 What is 0.674 rounded to one dp? 0.7 Round -0.0000007814 to seven decimal places. -0.0000008 What is 179600 rounded to the nearest 10000? 180000 What is 13078 rounded to the nearest one thousand? 13000 What is -11620 rounded to the nearest one thousand? -12000 Round -529400 to the nearest one hundred thousand. -500000 Round 146.6 to the nearest 10. 150 What is -0.00010488 rounded to 5 dps? -0.0001 What is -3.0366 rounded to two decimal places? -3.04 What is -0.000021136 rounded to six dps? -0.000021 Round 16.271 to one dp. 16.3 Round 0.000004425 to seven decimal places. 0.0000044 Round 0.021465
{ "pile_set_name": "DM Mathematics" }
= 31*r. Is 4 a factor of r? False Let g(x) = -x**2 - 6*x + 3. Let p(r) = -r**2. Let i(k) = -g(k) + 2*p(k). Let m be i(4). Suppose -m*q + 54 + 1 = 0. Is q a multiple of 11? True Suppose -12 = -4*r + 3*y - 2, 3*r - 22 = -5*y. Let l(a) = -6 + 0 + 2*a**2 + 6 - r + 4*a. Is 14 a factor of l(-6)? False Let f(s) = s**3 - 4*s**2 - 5*s + 2. Let g be f(4). Let w be (-24)/g + (-599)/(-3). Suppose w - 51 = 3*o. Is o a multiple of 10? True Let o(k) = k**2 - 8*k - 3. Let w be o(9). Let v(n) = 3*n - 5. Is v(w) a multiple of 10? False Suppose -17*t + 56 - 5 = 0. Suppose -3*u + 2*q - 78 = -698, t*u - 615 = 3*q. Does 10 divide u? True Let j = 14 + -10. Let o = 469 + -230. Suppose 2*r + o = j*t - 63, 2*r - 282 = -4*t. Is 21 a factor of t? False Let x(a) be the third derivative of 13*a**5/60 + a**3/2 + 9*a**2. Does 23 divide x(-2)? False Let g(p) = -p**3 - 8*p**2 + 9*p - 22. Let u be g(-10). Suppose -n = -2, -k - 2*n = k - u. Is k a multiple of 7? True Let w(f) = 2*f**3 - 7*f**2 + 1. Let y(l) = -l**3 + 7*l**2. Let g(z) = 2*w(z) + 3*y(z). Let u be g(-7). Suppose 0 = u*q - 64 - 136. Is q a multiple of 28? False Suppose -42 = q + 2*q. Suppose 0 = 49*j - 45*j + 24. Is q/21 - 280/j a multiple of 19? False Suppose -3 = -4*d + 4*k + 1, 4*d - 28 = -2*k. Suppose -2*q = -d*q + 6. Is 2 a factor of q? True Let h = -3179 - -5639. Is 15 a factor of h? True Is 18 a factor of -1 - (-3812*(-2)/(-4) - 3)? True Suppose -5*b - 3*z + 255 + 234 = 0, 2*b = -z + 195. Suppose 0 = -5*l + 2*p + 2*p + b, -4*p = 3*l - 64. Is 2 a factor of l? True Let c(f) = f**3 - 13*f**2 + 19*f - 9. Does 4 divide c(12)? False Let a(m) = -2*m - 3. Let h be a(-9). Suppose x + h + 9 = 0. Let v = x - -43. Is 11 a factor of v? False Suppose 0 = 8*i - 1406 - 1090. Does 26 divide i? True Suppose 0 = -n - 55 + 178. Is 6 a factor of n? False Let z be (-119)/14 + (-1)/(-2). Let b be -4*(2 - (-20)/z). Suppose -3*u = -4*k + 183, 0*u - b = 2*u. Does 15 divide k? True Suppose 20*j - 62681 = -24521. Does 18 divide j? True Let p(s) = s**2 + s + 1. Let z(x) = 13*x**2 - 3*x. Let n(a) = p(a) + z(a). Is 13 a factor of n(1)? True Let u = -214 + 195. Suppose -3*y = 5*n + 22, 4*y + 2*n + 5 = -1. Let g = y - u. Does 10 divide g? True Let a = 25 - 17. Suppose -138 = -a*x + 5*x. Does 23 divide x? True Let h be (-1 - -1)/(21/7). Suppose 4 = 2*b - h*b. Does 3 divide (-6)/b*16/(-6)? False Suppose 5*s + 6 = -3*j, -24 = -3*j + 5*s - 0. Suppose 157 = j*d - 206. Does 26 divide d? False Suppose 132*v + 41 = 133*v. Does 9 divide v? False Let c(l) = 2*l**2 - 6*l + 4. Let j(g) = g**2 - 9*g - 31. Let k be j(12). Does 7 divide c(k)? False Let k(q) = q + 1. Let h be k(1). Is 11 a factor of 5/2*82/10*h? False Let b(z) = -3*z**3 + 10*z**2 + 7*z - 7*z**2 - 7*z + 3 + 11*z. Is b(-3) a multiple of 13? True Let g = -51 + 77. Suppose -2*w + 0*w = -g. Suppose w*t - 11*t = 70. Is 7 a factor of t? True Suppose 4*u - 17023 = -503. Does 64 divide u? False Let k(l) = -31*l**2 + 21*l. Let c(o) = -6*o**2 + 4*o. Let d(u) = -33*c(u) + 6*k(u). Let p be d(-6). Does 6 divide p/(-65)*(-40)/6? True Let n be (2/(-1))/(2/6). Does 8 divide (-3)/n - 393/(-6)? False Let s = -13 + 13. Suppose s = -5*f + 103 + 457. Suppose 4*j + 4*i - f = 0, 5*j - i = 2*i + 156. Does 10 divide j? True Suppose 1 = 3*k - 8. Suppose 2 = 5*d - k. Does 11 divide 63 + 0 + (-3 - d)? False Suppose -2934 = -32*q + 4554. Is q a multiple of 4? False Let d = 217 + -143. Is d even? True Suppose 0 = 2*g + 3 - 13. Suppose g*s - 9*s + 56 = 0. Does 11 divide 684/21 - (-6)/s? True Let p be 4*(-3)/48 - 33/(-4). Suppose -2*r = -p, -f + 7 + 45 = -4*r. Does 11 divide f? False Let c = -1040 - -3705. Is 41 a factor of c? True Suppose 337*u - 1295 = 330*u. Does 19 divide u? False Let o = 28 + -9. Let n = o - -5. Is n a multiple of 12? True Let b be -1 - (-4)/(-2) - -3. Suppose 0*f + 3*f + 24 = b. Let r = 24 + f. Does 5 divide r? False Suppose 5*g + 2*s - 2348 = 0, -15*g = -18*g - 2*s + 1412. Is g a multiple of 13? True Suppose -4*l + 6363 + 945 = 0. Is l a multiple of 9? True Let g = -15 + 47. Suppose l = 152 - g. Is l a multiple of 24? True Is 17 a factor of (24/(-32))/(54/21216)*-15? True Let i = 21 - -26. Let p = 67 + i. Is 19 a factor of p? True Let p be 410/(-4) + (-18)/12. Let y be 13/p + (-46)/16. Does 19 divide (76/(-12))/(1/y)? True Suppose 4*t + 4*d - 48 = 0, 5*t - 5*d - 6 = 4. Let g(m) = -m**2 + 9*m - 5. Let u be g(8). Suppose h + u = t. Is 4 a factor of h? True Let n(u) = u**2 - 2. Let d be n(2). Suppose -d = -0*t - t. Suppose t*i + 2*w - 40 = -0*i, -28 = -2*i - 5*w. Is 8 a factor of i? True Let o = 20 - 20. Suppose 3*r - 336 = -3*l, o = -5*r + 4*l + 478 + 64. Is r a multiple of 22? True Let f = -297 - -309. Is f a multiple of 6? True Let m(j) = 25*j**2 - 56*j + 196. Is m(4) a multiple of 124? True Let b(g) = g**3 - 30*g**2 + 37*g + 74. Does 17 divide b(29)? True Let m(j) = 15*j + 70. Let v be m(-18). Let n = v - -318. Does 46 divide n? False Let w = -6 + -11. Let z = w + 21. Does 2 divide (-60)/(-3)*2/z? True Let s(a) = -4*a**2 - 109*a - 30. Does 13 divide s(-25)? True Let w = 205 + -40. Is 66 a factor of w? False Suppose 5*q + 7 = -x, -3*q = -0*x + 4*x + 11. Let d(o) = -98*o**3 + 2*o**2 + o. Is d(q) a multiple of 12? False Suppose -913 = 8*f + 79. Let y = 189 + f. Is y a multiple of 13? True Suppose -2*x - 4*x - 168 = 0. Let l = x - -36. Does 4 divide l? True Does 13 divide (4 + 0)/((-7)/12852*-12)? False Is 2500/6 + 160/(-24) + 6 a multiple of 13? True Suppose f - 2*n - 8 = 0, 4*f + f + 5*n = -20. Suppose -p = 3*p - o - 303, -p - o + 72 = f. Is p a multiple of 25? True Suppose -3*o - 5*k + 4 = -1, 0 = o + 3*k - 3. Suppose o = 13*b + 3*b - 4368. Is b a multiple of 48? False Suppose 3*y - 180 + 45 = 0. Let i(p) = -4*p - 4. Let c be i(-4). Suppose y + c = z. Is 17 a factor of z? False Suppose 21 = -k - 0*k - 5*b, -b = 4. Is k + 60 - 8/(-8) a multiple of 30? True Let q(l) = -2*l**2 + 15*l - 20. Let j be q(5). Suppose 11 = x - 4*v + 5*v, j*v = 4*x + 1. Does 3 divide x? True Let b(z) = 4*z**2 + z + 6. Let u be b(3). Let o be 6/27 + 6110/u. Suppose 0 = -5*h + 99 + o. Is 10 a factor of h? False Let i(o) = -o**2 - 13*o + 19. Let q(n) = 13*n - 1. Let u be 1 + -2 - (-7 + 7). Let w be q(u). Does 3 divide i(w)? False Is 70 a factor of (-109361)/(-35) + (-63)/105? False Let y(h) = h**3 + 3*h**2 - 2*h + 6. Let z be y(-3). Let i be 2 + (1 - z/3). Is (i/1)/(5/(-75)) a multiple of 15? True Let n(j) = -19 + 4*j**2 + 37 - 4*j - 16. Does 12 divide n(5)? False Suppose 1335 + 753 = 6*j. Is j a multiple of 58? True Suppose 30*u - 25*u - 4250 = 0. Does 53 divide u? False Suppose 11*u - 7*u + 192 = 0. Is (6 + 4)*u/(-10) a multiple of 12? True Let x be ((-14)/(-6))/((-3)/9). Let a = x - -10. Is a + (5 - (4 + -2)) a multiple of 2? True Let x = -1110 + 5375. Is 22 a factor of x? False Suppose 0 = 3*k - 16 - 5. Suppose 0*r - k*r = -224. Is 8 a factor of r? True Suppose -2*q + 10*q = -q. Suppose 14*a - 3*a - 737 = q. Does 29 divide a? False Does 32 divide 609 + (-5 - -6) - -5? False Suppose -d = 2*g - 4644, -3*d + 13932 = 10*g - 5*g. Does 23 divide d? False Let w(y) = 3*y**2 + y + 33. Let o be (1 - 3 - 13)*(-10)/(-15). Does 17 divide w(o)? True Suppose 2*h = -2*l, 3*l - h = 1 + 11. Suppose -k - 69 = -2*k + l*m, m - 131 = -2*k. Does 11 divide k? True Is 16 a factor of 218/981 + 5470/9? True Suppose 0 = -2*d + 6*d + 4*v - 36, 2 = -2*d + 3*v. Suppose 504 = 7*z - d*z. Suppose -2*a - 2*a = -z. Does 21 divide a? True Let n(c) = -52*c - 34. Is 14 a factor of n(-3)? False Suppose -6*m + 31 = 7. Suppose -90 = -v + t, 3*t - 356 = -m*v + 6*t. Does 7 divide v? False Let j = 34 - 57. Let i = j - -31. Does 2 divide i? True Let b be 2/(-6) + 4/(-6). Let s(a) = -234*a - 6. Does 38 divide s(b)? True Let k be 36/45*(-10)/4*2. Let q = -10 + 16. Does 4 divide (255/(-10))/(q/k)? False Let u = 1187 + -698. Is 12 a factor of u? False Suppose 4536 = -22*q + 31*q. Is q a multiple of 36? True Let k = 371 - -123. Is k a multiple of 23? False Let i = 878 + 79. Is i a multiple of 8? False Suppose 2*b + 2*b + 5*l + 528 = 0, 0 = -3*b - l - 385. Let z = -59 - b. Does 8 divide z? False Let s(a) be the second derivative of a**5/24 - a**4/6 - 7*a**3/6 - 2*a. Let m(y) be the second derivative of s(y). Does 12 divide m(12)? False Let g be 4543/56 + (-1)/8. Let q =
{ "pile_set_name": "DM Mathematics" }
44*y**2 - 471644*y - 85752. -4*(y + 10719)*(11*y + 2) Let -3*a**2 - 39*a + 6084 = 0. Calculate a. -52, 39 Factor -m**3/3 + 806362*m**2/3 - 162554918761*m/3. -m*(m - 403181)**2/3 Determine k so that 214*k**2 - 882*k + 720 = 0. 120/107, 3 Suppose -2*y**2/5 - 548676*y/5 - 37630669122/5 = 0. What is y? -137169 Factor 3*d**2/8 + 1131*d/2 + 2259/2. 3*(d + 2)*(d + 1506)/8 Factor -3*n**4 - 49*n**3 + 35*n**2 + 17*n. -n*(n - 1)*(n + 17)*(3*n + 1) Determine h so that -3*h**3 + 27294*h**2 + 27303*h - 54594 = 0. -2, 1, 9099 Solve -u**5/3 - 358*u**4 + u**3 + 3220*u**2/3 - 716*u = 0 for u. -1074, -2, 0, 1 Find a such that -3*a**2/8 - 261009*a/4 - 22708566027/8 = 0. -87003 Find u such that -6*u**2/7 + 110794*u/7 - 73844 = 0. 14/3, 18461 Let 6*y**2/5 - 411*y + 9126/5 = 0. Calculate y. 9/2, 338 Suppose 4*f**2 - 19372*f = 0. What is f? 0, 4843 Factor -l**2 + 72*l - 767. -(l - 59)*(l - 13) Factor -5*k**3 - 20140*k**2 + 282775*k - 666930. -5*(k - 11)*(k - 3)*(k + 4042) Let 3*g**5 - 654*g**4 + 8727*g**3 - 32556*g**2 + 24480*g = 0. What is g? 0, 1, 5, 8, 204 Determine c, given that 2*c**5/7 + 702*c**4/7 + 4146*c**3/7 + 2018*c**2/7 - 17988*c/7 - 16560/7 = 0. -345, -4, -3, -1, 2 Let -4*g**3 + 188*g**2 - 40*g - 14400 = 0. What is g? -8, 10, 45 What is u in 884*u**2 + 62748*u - 1136 = 0? -71, 4/221 Find k, given that -k**3 - 12123*k**2 + 194160*k - 776896 = 0. -12139, 8 Find j, given that 4*j**5 - 88*j**4 + 480*j**3 = 0. 0, 10, 12 Factor 210*f**2 - 22018*f/7 - 480/7. 2*(f - 15)*(735*f + 16)/7 Solve 5*q**2 + 4410*q - 815615 = 0. -1039, 157 Find f such that f**2/3 + 139*f/3 - 142 = 0. -142, 3 Factor 2*l**2/3 - 1662*l - 125900/3. 2*(l - 2518)*(l + 25)/3 Factor 5*z**3 - 820*z**2 + 39025*z - 575750. 5*(z - 94)*(z - 35)**2 What is g in -3*g**4 + 186*g**3 - 3819*g**2 + 25992*g = 0? 0, 19, 24 Let -3*d**4 + 46884*d**3 - 183269532*d**2 + 732515616*d - 732328128 = 0. Calculate d. 2, 7812 Solve -2*p**3/7 - 2*p**2 + 8962*p/7 - 1278 = 0 for p. -71, 1, 63 Find c such that -2*c**5/5 + 36*c**4/5 + 126*c**3/5 - 2744*c**2/5 - 2472*c/5 + 9792 = 0. -6, 5, 8, 17 Solve -108*n**4 - 1340*n**3 - 2688*n**2 + 9488*n + 4224 = 0. -8, -6, -11/27, 2 Suppose 120*c**3 + 2644*c**2 + 14128*c + 468 = 0. Calculate c. -13, -9, -1/30 Solve -k**3/3 + 11228*k**2/3 - 31584256*k/3 + 125798656 = 0. 12, 5608 Factor 2*m**2/5 + 7596*m/5 + 7586. 2*(m + 5)*(m + 3793)/5 Factor 2*i**2/17 + 940*i/17 + 1744. 2*(i + 34)*(i + 436)/17 Solve -j**2/10 + 1076133*j/5 - 1158062233689/10 = 0. 1076133 Factor -3*d**2/5 - 1482*d/5 + 5976/5. -3*(d - 4)*(d + 498)/5 Suppose 2*l**2/9 - 418*l/9 + 2044 = 0. Calculate l. 63, 146 What is g in -5*g**5 - 1430*g**4 - 74485*g**3 + 4070060*g**2 - 22252800*g + 32256000 = 0? -160, 3, 28 Find g, given that -2*g**4/9 + 878*g**3/9 + 12614*g**2/9 + 31666*g/9 + 6644/3 = 0. -11, -2, -1, 453 Let -534*n**3 - 11654*n**2/7 - 1328*n/7 - 24/7 = 0. What is n? -3, -2/21, -2/89 Let -95*o**2 - 4585640*o + 482700 = 0. Calculate o. -48270, 2/19 Factor t**3 + 12*t**2 - 109*t - 720. (t - 9)*(t + 5)*(t + 16) Let 4*c**2/5 + 2528*c/5 + 122748/5 = 0. Calculate c. -579, -53 Factor -w**2 + 24600*w - 122975. -(w - 24595)*(w - 5) Let a**5/4 + 55*a**4/2 + 519*a**3 - 6446*a**2 - 158752*a = 0. Calculate a. -82, -22, 0, 16 Factor -4*i**3 - 384*i**2 - 5616*i. -4*i*(i + 18)*(i + 78) Factor 4*q**3/5 - 32224*q**2/5 - 128948*q/5 - 19344. 4*(q - 8060)*(q + 1)*(q + 3)/5 Suppose -2*r**3/7 + 40*r**2 + 478*r - 3624/7 = 0. What is r? -12, 1, 151 Suppose 2*w**4 + 4*w**3 - 24*w**2 - 80*w - 64 = 0. Calculate w. -2, 4 Factor -4*a**2 - 56648*a - 283140. -4*(a + 5)*(a + 14157) Factor -25*w**2/4 + 6805*w/4 + 129285/2. -5*(w - 306)*(5*w + 169)/4 Factor -5*s**4 - 115*s**3 + 2665*s**2 + 2775*s. -5*s*(s - 15)*(s + 1)*(s + 37) Factor 5*z**5 - 390*z**4 - 8585*z**3 - 59490*z**2 - 156060*z - 104760. 5*(z - 97)*(z + 1)*(z + 6)**3 Let -h**2/2 - 41*h/2 + 55068 = 0. Calculate h. -353, 312 Factor -22*x**4/17 - 614*x**3/17 - 6300*x**2/17 - 28296*x/17 - 47088/17. -2*(x + 6)**3*(11*x + 109)/17 Suppose 2*k**3/13 + 3402*k**2/13 - 20466*k/13 + 30726/13 = 0. Calculate k. -1707, 3 Factor 2*w**2/3 + 116*w - 3168. 2*(w - 24)*(w + 198)/3 Factor -3*h**2/7 + 261078*h/7. -3*h*(h - 87026)/7 Let -51*v**3/2 - 11522*v**2 - 1300630*v + 204304 = 0. What is v? -226, 8/51 Find k such that -3*k**2 + 11700*k - 11407500 = 0. 1950 Factor -i**5 + 36*i**4 - 30*i**3 - 172*i**2 - 105*i. -i*(i - 35)*(i - 3)*(i + 1)**2 Factor t**3/4 + 10*t**2 - 353*t - 744. (t - 24)*(t + 2)*(t + 62)/4 Let -3*o**3 + 4884*o**2 - 38916*o + 58320 = 0. What is o? 2, 6, 1620 Factor p**4 + 37958*p**3 - 227772*p**2 + 455560*p - 303712. (p - 2)**3*(p + 37964) Factor 2*x**2 + 297968*x + 11098116128. 2*(x + 74492)**2 Let 9*t**5 + 7167*t**4 + 38056*t**3 + 69672*t**2 + 50640*t + 12656 = 0. Calculate t. -791, -2, -2/3 Find y, given that -34*y**3/13 + 119368*y**2/13 + 140474*y/13 + 21072/13 = 0. -1, -3/17, 3512 Solve 5*n**4 + 452*n**3 + 1920*n**2 + 2416*n + 688 = 0 for n. -86, -2, -2/5 Suppose 3*m**5/7 - 852*m**4/7 - 8724*m**3/7 - 28128*m**2/7 - 4032*m = 0. What is m? -4, -2, 0, 294 Determine z so that z**3/8 - 8*z**2 - 1959*z/8 - 1827/4 = 0. -21, -2, 87 Let -p**5/4 - 665*p**4/2 - 12244*p**3 + 77459*p**2/2 - 157583*p/4 + 13243 = 0. What is p? -1292, -41, 1 Solve -3*b**4 - 5802*b**3 - 2811063*b**2 - 5604732*b - 2799468 = 0. -966, -1 What is o in 4*o**3 + 28376*o**2 + 56740*o + 28368 = 0? -7092, -1 Suppose -2*v**5 - 1572*v**4 - 384410*v**3 - 27367536*v**2 + 56285320*v = 0. Calculate v. -329, -130, 0, 2 Factor -x**3 - 12491*x**2 - 99855*x + 112347. -(x - 1)*(x + 9)*(x + 12483) Find z, given that 164*z**4 - 657*z**3 + 824*z**2 - 333*z + 2 = 0. 1/164, 1, 2 Determine u so that -2*u**5/5 - 142*u**4/5 + 144*u**3/5 = 0. -72, 0, 1 Find j, given that -3*j**3 - 2037*j**2 - 275280*j + 25052700 = 0. -370, 61 Suppose -2*d**3/7 - 204*d**2/7 - 6210*d/7 - 48600/7 = 0. Calculate d. -45, -12 Factor -u**3/2 - 1985*u**2 - 3969*u/2. -u*(u + 1)*(u + 3969)/2 Let 2*y**4 + 419*y**3/3 + 1195*y**2 + 900*y = 0. Calculate y. -60, -9, -5/6, 0 Suppose -578*z**5/15 - 4012*z**4/15 + 5938*z**3/3 + 14180*z**2/3 - 30400*z + 24000 = 0. What is z? -10, -5, 1, 60/17 Factor -3*t**2 + 627012*t - 32762004012. -3*(t - 104502)**2 Let 3*g**4 + 6606*g**3 + 144108*g**2 + 497256*g + 470880 = 0. What is g? -2180, -18, -2 Let -j**3/10 + 883*j**2/5 - 353*j/2 = 0. Calculate j. 0, 1, 1765 Suppose 2*n**5/9 + 68*n**4/3 + 1864*n**3/3 + 19796*n**2/9 + 4802*n/3 = 0. Calculate n. -49, -3, -1, 0 Suppose -x**2/3 + 96078*x - 6923236563 = 0. Calculate x. 144117 Factor -5*f**2 - 5794870*f - 1679025915845. -5*(f + 579487)**2 Factor k**2 - 12443*k - 637194. (k - 12494)*(k + 51) Factor -2*y**2/7 - 10740*y/7 + 21488/7. -2*(y - 2)*(y + 5372)/7 Factor -2*b**3/3 + 794*b**2/3 - 8492*b/3. -2*b*(b - 386)*(b - 11)/3 What is q in 3*q**3 + 1257*q**2 - 89283*q + 88023 = 0? -481, 1, 61 Suppose g**2 - 1105*g - 1106 = 0. Calculate g. -1, 1106 Solve 3*x**5 - 426*x**4 + 18354*x**3 - 207588*x**2 - 471957*x - 245586 = 0. -1, 22, 61 Solve f**3 - 1044*f**2 + 218831*f + 219876 = 0 for f. -1, 292, 753 Factor 3*n**2 + 9108*n. 3*n*(n + 3036) Factor -4*w**2/3 - 46771*w/3 + 11693/3. -(w + 11693)*(4*w - 1)/3 Suppose -q**4 - 536*q**3 - 2112*q**2 + 8576*q + 34048 = 0. Calculate q. -532, -4, 4 Factor 2*w**5/9 - 110*w**4/9 - 112*w**3/9. 2*w**3*(w - 56)*(w + 1)/9 Find t, given that -3*t**4 - 1260*t**3 + 2703*t**2 + 72324*t + 68364 = 0. -422, -6, -1, 9 Factor 2*b**3/7 + 19224*b**2/7 - 2*b/7 - 19224/7. 2*(b - 1)*(b + 1)*(b + 9612)/7 Solve -2*k**4/11 + 172*k**3/11 - 4178*k**2/11 + 20640*k/11 - 28800/11 = 0. 3, 40 Factor n**3 + 232757*n**2 - 465517*n + 232759. (n - 1)**2*(n + 232759) Factor -4*p**2/7 - 80624*p/7 - 406264336/7. -4*(p + 10078)**2/7 Factor -x**3/2 + 62293*x**2/2 - 124580*x + 124578. -(x - 62289)*(x - 2)**2/2 Determine l so that 2*l**2/5 + 12102*l/5 - 24244 = 0. -6061, 10 Solve -b**4 - 629*b**3 + 1894*b**2 - 1264*b = 0. -632, 0, 1, 2 Factor -2*y**3 + 396*y**2 + 18270*y + 51192. -2*(y - 237)*(y + 3)*(y + 36) Determine v, given that -2*v**4/3 + 298*v**3/3 + 304*v**2/3 - 200*v = 0. -2, 0, 1, 150 Factor -r**4 + 253*r**3 + 1031*r**2 - 753*r - 4626. -(r - 257)*(r - 2)*(r + 3)**2 Factor -5*k**3 + 30*k**2 + 2045*k - 2070. -5*(k - 23)*(k - 1)*(k + 18) Factor 22*u**2 - 12514*u - 2276. 2*(u - 569)*(11*u + 2) Suppose -d*
{ "pile_set_name": "DM Mathematics" }