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he fourth smallest value in 0.2, -1, 4, -139, 0, 22? 0.2 Which is the third biggest value? (a) -1 (b) -0.342213 (c) -1/3 a Which is the smallest value? (a) -125679 (b) -3 (c) 2/423 a Which is the fourth biggest value? (a) -0.4 (b) 7/34 (c) -4/5 (d) 5 (e) -5 (f) 3 a What is the smallest value in 3/2, -7/5, -6, 5, 2/143? -6 Which is the third biggest value? (a) 2/2413 (b) -1/5 (c) 54622 b Which is the smallest value? (a) 0.1 (b) -38 (c) 0.4 (d) -1/535 b What is the third biggest value in 0.1, 2/15, -5, 461/624, 0.5, -4? 2/15 Which is the smallest value? (a) -4 (b) -1/11 (c) -291773 c What is the biggest value in 36, 2/11, 334, 2, 5, 4/5? 334 What is the third smallest value in -2708, -1/21, -7/50? -1/21 What is the third biggest value in 1.38, -357.24, 8? -357.24 Which is the third smallest value? (a) 258 (b) -2/7 (c) 229132 c Which is the sixth biggest value? (a) -63 (b) -0.13 (c) -0.2 (d) 5 (e) 70 (f) 1 a What is the smallest value in -1/8, -7, -6.8, 0, 2/5, 4, -5? -7 What is the fourth smallest value in 0.1, 5/3, -226/11, -0.4, -4, 5, -9? -0.4 What is the fourth biggest value in 2/5, -3, 3/5, -30105.2? -30105.2 Which is the fourth smallest value? (a) 0.07 (b) 3589 (c) 2.4 (d) 0.4 b Which is the third smallest value? (a) -0.2 (b) -9799 (c) -49/60 a Which is the biggest value? (a) -14/367 (b) -0.3 (c) 203 c Which is the third smallest value? (a) 2/3 (b) -7617 (c) -8 (d) 3/14 d Which is the seventh smallest value? (a) -17/7 (b) -4/5 (c) -99/5 (d) -3 (e) -1/18 (f) 4/9 (g) -0.3 f What is the sixth biggest value in -1, 4, -0.1, 36, 2, -12, 0.5? -1 Which is the third biggest value? (a) -1/6 (b) -3/2 (c) -9 (d) 26 (e) -5 (f) 8 (g) 3/7 g What is the smallest value in 51/64, -0.5, -1, 0.2, -7, -5, 2/7? -7 Which is the third smallest value? (a) -6/11 (b) 60/36179 (c) 0.5 c Which is the biggest value? (a) 13953814 (b) 3 (c) 6/7 a Which is the second smallest value? (a) 1152 (b) -5901/8 (c) 3 (d) -3 d What is the fourth biggest value in 5, 78, -197, -2/3, 42, 2, -3/8? 2 Which is the second biggest value? (a) 9.3769 (b) 1 (c) 2/5 (d) 33 a Which is the second smallest value? (a) 4/7 (b) 4/3 (c) -23 (d) -136 (e) -18/11 (f) -5 c Which is the third biggest value? (a) -5692 (b) -3474 (c) 2 a Which is the fourth biggest value? (a) 35946 (b) -5 (c) -114 (d) 0.4 (e) -1 (f) -3 f Which is the second biggest value? (a) 25487/9 (b) 117 (c) -1/3 b Which is the third biggest value? (a) -4445 (b) -4/5 (c) 9 (d) 4 (e) 4/5 (f) 17.6 d Which is the sixth biggest value? (a) -1/2 (b) 0.4 (c) -0.7 (d) -0.3 (e) 0 (f) -11242 f Which is the third smallest value? (a) -79/3 (b) -5854.7 (c) 16 c Which is the fifth smallest value? (a) -0.1 (b) 1/5 (c) -5 (d) 5 (e) 2/13 (f) -1011543 b Which is the sixth biggest value? (a) 1 (b) -0.18 (c) 1/6 (d) 151 (e) 0.9 (f) -7/3 (g) 0.5 b What is the second biggest value in -0.2, 1/3, -8/11, 4966? 1/3 What is the fifth smallest value in -25, -4, 5, 3, 1, 0.42? 3 Which is the second smallest value? (a) -4 (b) 76 (c) 4 (d) -191 a Which is the biggest value? (a) -1 (b) 10/21 (c) 0 (d) 1/9 (e) 2 (f) 0.2 (g) 0.9 e What is the fourth smallest value in -616/3551, -18, 0.5, -1/4, -0.2? -616/3551 What is the fifth smallest value in 375, -2.9, 2/13, -3, 587, 0.5? 375 Which is the sixth biggest value? (a) 8/11 (b) -23 (c) -426 (d) 0.4 (e) 1 (f) -3/8 c What is the third biggest value in -375953, -5, -9/5? -375953 Which is the fifth biggest value? (a) -29 (b) 1/13 (c) 29/5 (d) 2 (e) -4 (f) -0.1 e Which is the second smallest value? (a) 0.4 (b) -0.1 (c) -823 (d) 136/11 (e) 5 b What is the third biggest value in -2/9, 0.187, -74, 6/17, -0.5? -2/9 Which is the sixth biggest value? (a) -0.1 (b) 5 (c) 1/7 (d) -1 (e) -1.37 (f) -537 (g) 0.3 e What is the fourth smallest value in -14, -25, 3.1, -1/76, 0? 0 Which is the smallest value? (a) 70 (b) -0.1 (c) -2 (d) 5 (e) 0.198 (f) 14 (g) 2 c Which is the sixth biggest value? (a) 150 (b) 92/5 (c) 3 (d) -5 (e) -1 (f) -2 (g) 1/101 f What is the fourth smallest value in -5, 5, 2/515, 0.2, 2.7, 6? 2.7 What is the smallest value in 3/5, -12666, -454? -12666 Which is the third smallest value? (a) -3/5 (b) -464 (c) 0 (d) 24 (e) 5/2 (f) -0.3 f What is the second smallest value in 45.088, -3, 0.4, 14? 0.4 Which is the second smallest value? (a) 29 (b) -0.030126 (c) 3 c Which is the second biggest value? (a) -2 (b) 2086/29 (c) -32/79 c Which is the third smallest value? (a) 9/61 (b) 1/7 (c) -5 (d) 1/6 (e) 3 (f) -2/5 b Which is the biggest value? (a) -2/3 (b) 0.0173 (c) 1 (d) -1.9 (e) -5 (f) -1/3 c Which is the biggest value? (a) 0.16789743 (b) -3 (c) -0.2 a What is the sixth smallest value in -242, 2, 1/7, -1/9, -1/4, 2/7, 3? 2 Which is the biggest value? (a) -3412 (b) 4 (c) 8/49 b What is the fifth smallest value in 46, 35, 0.618, -48, -2/3? 46 What is the second smallest value in -121520, -0.01, 0.4, -3? -3 Which is the third biggest value? (a) -62 (b) 3/22 (c) -1/5 (d) -13 (e) -5 (f) -0.07 c What is the second biggest value in 4, 3377.4, -50? 4 Which is the sixth biggest value? (a) -2 (b) -0.4 (c) 0.04942 (d) 1/2 (e) 1/8 (f) -29 f Which is the biggest value? (a) 4 (b) -1/678 (c) -1/4 (d) 41274 d What is the biggest value in 1/2, -14, 16/3, 4, 2, 0? 16/3 Which is the biggest value? (a) 0 (b) 17273 (c) -1 (d) 2 (e) -2/3 (f) 0.44 b Which is the biggest value? (a) -0.072 (b) -0.1 (c) 3 (d) -21/2 (e) 12 (f) 2/7 e What is the biggest value in 3, -3, 1/11, -4, -12, -37.1, -8.2? 3 Which is the second biggest value? (a) -0.4 (b) -0.48854 (c) 3 (d) 50 c Which is the fourth smallest value? (a) -2 (b) -1 (c) 10 (d) 17700/7 (e) -7 c What is the second smallest value in -0.16, -3/2, 1387/4, 5? -0.16 What is the second biggest value in -1/3, -4, 0.037, -2, 0.1, -6, -0.01? 0.037 What is the biggest value in 3, 1/8, 1/2, -2/39, -13, -1/56? 3 What is the third smallest value in 6/47, -1/8, -5, 3149? 6/47 What is the smallest value in -4, 3/8, 0.12, 1.7, -1601/5? -1601/5 What is the smallest value in -82421, -0.054, 3? -82421 Which is the sixth biggest value? (a) -237 (b) 5 (c) -7 (d) -0.06 (e) 0 (f) -2/7 a Which is the smallest value? (a) -432 (b) 0 (c) 2/13 (d) -12/5 a Which is the third biggest value? (a) -2/7 (b) -0.2 (c) 1 (d) 3 (e) -0.3 (f) 1.4764 c Which is the fifth smallest value? (a) -0.2 (b) 5 (c) -37 (d) -0.19 (e) -2/5 (f) -2/7 (g) 3 d Which is the third smallest value? (a) 5 (b) 252 (c) -2/511 (d) -0.1 a Which is the second smallest value? (a) -14 (b) 5 (c) -56 (d) -2/3 (e) 0.3 (f) 3.4 a What is the second smallest value in -5/36, -0.3, 1/7, 21464? -5/36 Which is the third smallest value? (a) -0.4 (b) 2 (c) 30365/123 c What is the sixth biggest value in 5, 2, -1, -3, 28/157, 0.7, 3? -1 Which is the second biggest value? (a) 83951 (b) -2 (c) -4 (d) 0 d What is the biggest value in 0.06, -65, 469, 18? 469 Which is the second biggest value? (a) 0 (b) 2 (c) -8.86325 a Which is the fourth smallest value? (a) 0.5 (b) -2 (c) 2/15 (d) 120/2729 (e) -0.4 (f) -0.2 d What is the second smallest value in 2, -648650, 4? 2 What is the sixth biggest value in -1.1, 157, -3, 4, 1/4, 1? -3 Which is the third biggest value? (a) 1/4 (b) 3389542 (c) -5 c Which is the fourth biggest value? (a) 0.2 (b) -23 (c) -0.11 (d) 1/7 (e) -16 e What is the biggest value in 0.2, -4.23, 274670? 274670 What is the third smallest value in 4/5, 16, -0.1, -150, -5, -0.06, -0.691? -0.691 Which is the fifth smallest value? (a) -2/15 (b) -0.027 (c) 0.4 (d) 0.1 (e) -520 (f) -4 (g) -4/5 b What is the fourth smallest value in -3/10, -1, -9279/20, 6/5, -0.1? -0.1 Which is the fourth smallest value? (a) -116 (b) 0.1 (c) -2.12 (d) -16.2 b Which is the fifth biggest value? (a) -1/4 (b) -1172 (c) 1 (d) 14 (e) -31 b What is the fourth smallest value in 44, -4303624, -2, -0.1? 44 What is the fourth biggest value in 10.8, 1/8, 13/6, -4/21, -21? -4/21 What is the third biggest value in 0.52676, -4, -4/3? -4 What is the biggest value in -2/17, -0.09, 5, -8, 0.119? 5 What is the second
{ "pile_set_name": "DM Mathematics" }
(-165). 3312 Let m(z) = z**3 - 73*z + 265. What is m(6)? 43 Let b(n) = n**3 - 45*n**2 + 130*n + 81. Determine b(42). 249 Let l(h) = -7*h**2 + 3852*h - 20172. Determine l(545). -7 Let h(j) = j**2 - 175806*j - 10. Calculate h(0). -10 Let i(c) = 492*c + 6486. Calculate i(-13). 90 Let d(l) = 2462*l - 11968. Give d(5). 342 Let y(u) = 34168*u + 34188. Calculate y(-1). 20 Let d(j) = -408*j**2 - 8205*j - 29. Give d(-20). 871 Let y(i) = 4*i**2 + 62*i - 156. Calculate y(3). 66 Let o(f) = 15*f**2 + 195*f + 746. Calculate o(-8). 146 Let x(n) = n**2 - 498*n + 30427. Give x(70). 467 Let w(u) = 1951*u - 811610. Give w(416). 6 Let q(l) = 9392*l - 873451. Give q(93). 5 Let t(q) = q**2 - 396*q + 38711. What is t(224)? 183 Let u(s) = s**3 - 115*s**2 + 542*s + 403. Give u(110). -477 Let n(p) = -129*p - 6419. Give n(-23). -3452 Let v(k) = 2*k**2 + 349*k + 365. Calculate v(-1). 18 Let n(r) = 5*r**3 + 17*r**2 + 14*r - 37. Give n(-2). -37 Let t(v) = -8*v**3 + 102*v**2 + 129*v + 55. Give t(14). -99 Let j(l) = 1042*l + 18007. Give j(-18). -749 Let y(w) = w**3 - 30*w**2 + 469*w - 2098. What is y(6)? -148 Let q(r) = -11071*r - 852474. Calculate q(-77). -7 Let r(o) = 3238*o + 48476. Give r(-15). -94 Let m(f) = -1251*f - 26137. What is m(-21)? 134 Let u(f) = -6846*f - 924210. What is u(-135)? 0 Let g(r) = 6*r**2 - 586*r + 1525. Determine g(95). 5 Let c(s) = -4*s**3 + 1156*s**2 + 1169*s - 1654. What is c(290)? 956 Let y(s) = -63162*s + 568429. What is y(9)? -29 Let m(a) = -3*a**3 - 738*a**2 - 733*a + 380. Calculate m(-245). -110 Let z(v) = -v**2 + 188*v - 6162. Determine z(146). -30 Let a(d) = -2151*d - 28400. Give a(-14). 1714 Let t(h) = 3*h**2 + 9636*h - 116060. Calculate t(12). 4 Let v(i) = -3*i**2 - 178*i - 1243. Calculate v(-47). 496 Let w(h) = 10*h**2 + 48*h + 694. What is w(-16)? 2486 Let w(y) = 175*y - 15388. Determine w(88). 12 Let p(r) = -r**3 - 35*r**2 + 43*r + 1676. Determine p(-38). 4374 Let q(g) = 2*g**3 + 4*g**2 - 100*g - 231. Give q(13). 3539 Let y(s) = -14*s**3 - 140*s**2 - 56*s - 12. What is y(-10)? 548 Let n(u) = -380*u**2 + 1915*u - 73. What is n(5)? 2 Let g(v) = v**2 + 937*v + 43510. Give g(-49). -2 Let t(d) = d**3 + 34*d**2 + 237*d + 301. What is t(-25)? 1 Let a(t) = -t**3 + 9*t**2 + 470*t + 2286. Determine a(-6). 6 Let u(o) = 807*o + 27422. Give u(-34). -16 Let r(x) = 28609*x - 200023. What is r(7)? 240 Let l(c) = 686*c - 4345. What is l(6)? -229 Let c(r) = 2173*r**2 + 19574*r - 54. What is c(-9)? -207 Let r(q) = -252*q - 3658. Determine r(-10). -1138 Let f(o) = -11*o**2 - 1929*o + 3899. Determine f(2). -3 Let p(t) = -1383*t - 5532. Calculate p(-4). 0 Let q(p) = 147*p - 16157. Give q(101). -1310 Let t(p) = 166*p - 25672. What is t(155)? 58 Let l(r) = -2*r**2 + 19789*r + 138626. What is l(-7)? 5 Let t(a) = -a**3 - 32*a**2 + 87*a - 631. Give t(-35). -1 Let a(j) = 4423*j - 70764. Determine a(16). 4 Let u(v) = v**3 - 466*v**2 + 1779*v + 31901. Determine u(462). 23 Let x(f) = 4164*f + 524706. What is x(-126)? 42 Let r(x) = -x**3 - 13*x**2 + 6*x - 621. Calculate r(-16). 51 Let v(b) = 397*b**2 - 3500*b + 68. Give v(9). 725 Let k(w) = 5*w**3 + 1481*w**2 + 4722*w + 9965. Determine k(-293). 3 Let b(f) = -293*f - 1502. Determine b(-5). -37 Let d(c) = -1518*c - 8977. Determine d(-6). 131 Let y(b) = -627306*b - 13173433. Determine y(-21). -7 Let m(b) = -44007*b + 2200257. Give m(50). -93 Let i(n) = n**2 - 127*n + 798. What is i(119)? -154 Let z(j) = -3517*j + 16947. Give z(5). -638 Let l(m) = -2848*m - 11348. Calculate l(-4). 44 Let f(g) = g**3 - 22*g**2 + 88*g + 50. Calculate f(6). 2 Let m(a) = -6*a**2 + 168*a + 576. Give m(26). 888 Let u(o) = -10*o**2 + 221*o + 1307. Calculate u(-6). -379 Let g(c) = -6*c**3 + 1122*c**2 - 3*c + 626. Calculate g(187). 65 Let k(v) = -7*v**2 - 103*v - 67. Calculate k(-6). 299 Let o(l) = 4*l**2 + 138*l + 155. Determine o(-33). -43 Let t(h) = -2*h**2 + 2173*h - 23907. What is t(11)? -246 Let z(f) = -9237*f - 101585. Calculate z(-11). 22 Let c(i) = 8*i**2 - 3752*i + 26193. What is c(7)? 321 Let a(y) = y**3 - 62*y**2 + 88*y - 5442. What is a(62)? 14 Let i(n) = 7*n**2 - 221*n - 269. Determine i(37). 1137 Let k(g) = -5*g**2 + 255*g - 1710. Give k(43). 10 Let r(u) = 132*u**3 - 14*u**2 + 12*u + 52. Calculate r(3). 3526 Let m(b) = b**3 + 4*b**2 + 155*b + 603. Calculate m(-4). -17 Let d(h) = -7*h**3 + 322*h**2 - 147*h + 6776. Calculate d(46). 14 Let y(s) = s**3 + 8*s**2 + 5170*s + 36170. Calculate y(-7). 29 Let x(j) = j**3 - 23*j**2 + 47*j - 105. What is x(22)? 445 Let g(p) = 10*p**2 + 183*p + 1231. Determine g(-10). 401 Let u(t) = -3*t**3 - 1498*t**2 - 10422*t - 12. Give u(-7). 569 Let i(r) = -3*r**3 + 4439*r**2 - 141799*r - 10122. Give i(1447). 7 Let r(n) = 2*n**2 - 96*n - 2068. Give r(65). 142 Let w(u) = 146*u**2 + 2941*u + 3171. Give w(-19). -2 Let b(q) = 3830*q - 658760. Give b(172). 0 Let x(r) = r**3 - 46*r**2 - 78*r - 754. Determine x(48). 110 Let m(d) = 3003*d + 15556. Calculate m(-5). 541 Let u(s) = 5*s**2 - 434*s - 11329. Give u(-21). -10 Let l(v) = 19858*v - 1210970. What is l(61)? 368 Let g(p) = -p**3 + 14*p**2 - 71*p + 1855. Calculate g(17). -219 Let i(k) = -3*k**3 - 30*k**2 + 92*k + 2. What is i(-15)? 1997 Let f(a) = -131*a + 2582. Determine f(17). 355 Let z(m) = 24175*m + 48343. What is z(-2)? -7 Let p(l) = 1877*l + 4347. Determine p(-2). 593 Let t(w) = w**2 + 643*w - 4471. Determine t(7). 79 Let h(l) = -l**3 - 30*l**2 + 182*l + 2225. What is h(-14)? -3459 Let x(h) = 46506*h - 2604336. Determine x(56). 0 Let x(d) = -324533*d - 11034141. Determine x(-34). -19 Let h(u) = -2*u**3 + 71*u**2 - 176*u - 3. Give h(33). -366 Let o(h) = -18219*h + 838355. Calculate o(46). 281 Let h(q) = 11*q**2 - 75*q - 990. Determine h(-10). 860 Let k(l) = -2*l**2 + 10160*l - 192323. What is k(19)? -5 Let n(w) = w**2 - 5416*w - 2116215. Calculate n(-366). -3 Let f(h) = 5*h**2 - 1655*h + 2989. What is f(329)? -301 Let f(p) = -p**2 + 2355*p - 46711. Calculate f(20). -11 Let d(q) = 145385*q - 436147. Determine d(3). 8 Let v(b) = -3*b**2 + 1801*b + 5138. Give v(-3). -292 Let l(p) = -3723*p - 118979. Calculate l(-32). 157 Let m(v) = -79*v**2 - 1179*v - 39. What is m(-16)? -1399 Let j(s) = s**3 - 78*s**2 - 1804*s + 136269. Determine j(79). -6 Let g(z) = 8595*z - 335208. Give g(39). -3 Let b(o) = -375*o - 1337. What is b(2)? -2087 Let x(t) = 2*t**3 - 126*t**2 - 22003*t - 454. Calculate x(141). -1441 Let j(c) = -386*c - 18905. What is j(-46)? -1149 Let x(n) = -639*n**2 - 1233*n + 10. Give x(-2). -80 Let v(b) = 27*b**3 + 8*b**2 - 35*b + 30. Give v(2). 208 Let g(k) = 8*k**3 - 141*k**2 - 15*k + 116. Determine g(18). 818 Let f(q) = -q**3 + 58*q**2 - 417*q + 174. Determine f(14). 2960 Let h(u) = -132*u**3 - u**2 + 43*u + 126. Calculate h(-3). 3552 Let z(v) = 48031*v - 384260. What is z(8)? -12 Let o(t) = 344457*t - 3788957. Calculate o(11). 70 Let p(t) = -t**3 - 7*t**2 - 111*t - 426. Calculate p(-16). 3654 Let x(g) = 4*g**3 + 1411*g**2 + 5249*g + 4884. What is x(-349)? -2 Let m(q) = -358*q - 1073. Determine m(-3). 1 Let f(s) = 2690*s + 169044. Give f(-63). -426 Let s(i) = 3*i**2 - 123*i + 1985. What is s(40)? 1865 Let v(o) = 3*o**2 + 1581*o - 1694944. What is v(533)? -4 Let t(x) = 385*x + 52552. Calculate t(-136). 192 Let f(b) = -17*b**2 + 1143*b - 2226. Calculate f(2). -8 Let x(o) = o**2 + 2033*o - 74394. Determine x(36). 90 Let k(i) = -i**2 + 6483*i + 149741. Determine k(-23). 103 Let k(c) = 67*c + 1831. What is k(-20)? 491 Let y(v) = -v**3 - 85*v**2 + 146*v - 2174. Calculate y(-87). 262 Let f(m) = -63*m**2 - 1708*m - 3403. Determine f(-25). -78 Let b(k) = -378*k**3 + 2644*k**2 + 24*k - 75. What is b(7)? -5 Let n(a) = -654*a + 404. Determine n(2). -904 Let q(j) = -j**2 + 15*j + 464. Calculate q(-26). -602 Let a(g) = g**3 - 37*g**2 - 6744*g + 44392. Give a(100). -8 Let v(u) = 21*u**2 - 2070*u - 7365. Give v(102). -21 Let b(a) = a**3 + 44*a**2 + 417*a + 330. What is b(-15)? 600 Let d(c) = c**3 - 36*c**2 + 7151*c - 257437. Determine d(36). -1 Let n(i) = 5*i**3 - 198*i**2 + 1207*i + 310. Give n(32). 22 Let f(r) = 12466*r + 1134392. Determine f(-91). -14 Let f(b) = -b**3 - 2121*b**2 - 10546*b + 171. Give f(-5). 1 Let v(k) = k**3 + 4*k**2 + 67*k - 1102. Calculate v(12). 2006 Let n(s) = 209*s**2 + 3761*s - 22. Determine n(-18). -4 Let c(p) = -20666*p + 516600. Give
{ "pile_set_name": "DM Mathematics" }
(d) -5 b Which is the fourth biggest value? (a) -0.3 (b) 2 (c) -0.091 (d) 341 a Which is the third smallest value? (a) -432 (b) 0.1 (c) -1/814 (d) 4 b Which is the smallest value? (a) -4 (b) -1614 (c) 2/3 (d) 4/7 b Which is the second biggest value? (a) 1/7 (b) -6/5 (c) 138 (d) -1/3 (e) -4 a Which is the third biggest value? (a) -3/4 (b) 0 (c) -19 (d) -418 (e) 0.03 a What is the fourth smallest value in 252369, -5, -1, 0.2? 252369 What is the fourth smallest value in 9.73, -0.5, -6/11, 26? 26 What is the second biggest value in 18/23, -42, -0.045? -0.045 What is the fifth smallest value in -2, 13/4, -3/14, -0.2, -3? 13/4 What is the third smallest value in -5, -5/8, -0.3, -1/9, -3, -1/2? -5/8 Which is the fifth smallest value? (a) 74 (b) -4 (c) -30 (d) -0.1 (e) -2/5 a Which is the sixth smallest value? (a) 1 (b) 2 (c) 5.4 (d) -2 (e) 3/2 (f) -4 c Which is the biggest value? (a) -4 (b) 0.4 (c) 0.2 (d) 17 (e) 27.3 (f) -5 e Which is the second biggest value? (a) -33/4 (b) 9 (c) -4 (d) 3 (e) -2 d Which is the fourth biggest value? (a) 21 (b) 5/13 (c) 0.1 (d) -0.2 (e) 0.9 (f) 2/5 b Which is the fourth smallest value? (a) 1/6 (b) 1 (c) -12 (d) 5 (e) -77 b What is the fourth smallest value in -0.1, -0.4, -0.32, -24, 1/10, -5? -0.32 Which is the second biggest value? (a) 4 (b) 0 (c) -40 (d) 10 (e) 25/3 e Which is the biggest value? (a) 6 (b) -11938 (c) 0.2 a What is the fourth biggest value in -0.3, -1, 41, -5/2, -2? -2 Which is the smallest value? (a) 2/5 (b) 16596 (c) 0.058 c What is the third smallest value in 3/2, 3, 141/545? 3 Which is the sixth biggest value? (a) 0.01 (b) -372 (c) 4/7 (d) 4 (e) 0.2 (f) 1 b What is the second biggest value in 0.89, 11, 1, 4, 2, 0.5? 4 Which is the sixth biggest value? (a) -5 (b) 5 (c) 2/7 (d) -0.1 (e) 0.072 (f) -1/191 a Which is the second biggest value? (a) 2/3 (b) -2781 (c) -0.1 (d) -5 c What is the fourth smallest value in 5, 1/8, -2/11, -859.3? 5 Which is the third biggest value? (a) 9 (b) -0.3 (c) 6106 (d) 2 (e) 0.2 d Which is the fourth smallest value? (a) 2/13 (b) 0.1 (c) 0.3 (d) 704 d What is the third smallest value in 0, 2/13, 0.35, 0.3? 0.3 What is the fifth smallest value in 4/273, 4, -1/7, -6/13, -2/13? 4 Which is the third smallest value? (a) 1/61 (b) -14 (c) -99 a Which is the biggest value? (a) -4 (b) 2 (c) -0.5 (d) 85 (e) 10 (f) -29.6 d Which is the second smallest value? (a) 12308 (b) -0.2 (c) -3 (d) -1/4 d Which is the third biggest value? (a) -2 (b) -15/47 (c) 176 a Which is the third biggest value? (a) -2 (b) -0.3 (c) -1/373 (d) -30.8 a Which is the second biggest value? (a) 30 (b) 0.5 (c) 2/19 (d) -0.09 (e) 4 e Which is the biggest value? (a) 0.5 (b) 558/13 (c) 0 b Which is the sixth biggest value? (a) 0 (b) -389 (c) 3/2 (d) 0.5 (e) 3/8 (f) -0.05 b Which is the third biggest value? (a) 4 (b) -1/5 (c) -10/141 b What is the second smallest value in 1, 8, -77.2, 35? 1 What is the sixth biggest value in 3/2, -2/7, -29/11, 1/2, -0.4, 15? -29/11 What is the fourth biggest value in 2, -0.4, -7/5, 0.2, -1/12? -0.4 Which is the second smallest value? (a) -27813 (b) -2/7 (c) 7 b What is the fourth smallest value in 261, 2, 9, 18? 261 Which is the fifth smallest value? (a) 60/19 (b) 13 (c) 5 (d) -0.1 (e) -1.7 (f) -2/5 c Which is the third smallest value? (a) 3211 (b) 0.4 (c) 1/2 (d) 25 d Which is the third biggest value? (a) -8/9 (b) 3 (c) -4 c What is the fourth biggest value in -1/7, 12, 3, -50? -50 Which is the fourth biggest value? (a) -21 (b) 0 (c) -0.2 (d) 0.03 (e) -2 e Which is the third smallest value? (a) -5 (b) -4/5 (c) 1.5 (d) 3 (e) -2 (f) 7 b What is the second smallest value in -12/227, -0.3, -0.21, 3/7, 3/2? -0.21 Which is the third biggest value? (a) 47.41 (b) 4 (c) -6 c What is the second smallest value in 1/246, -2/3, -3, 0.029, 2/13? -2/3 Which is the third smallest value? (a) -2/37 (b) 41 (c) -3 (d) 0.1 (e) 2.7 d What is the third biggest value in 23, 1/3, -96760? -96760 Which is the third biggest value? (a) 1/4 (b) -4 (c) -0.438 b Which is the fourth smallest value? (a) 11 (b) -2/11 (c) -16.6 (d) 0 (e) -0.5 d Which is the second biggest value? (a) 3/8 (b) -47109.5 (c) 1 a Which is the biggest value? (a) 6/11 (b) 2/3 (c) 157921 c What is the second smallest value in 7, 1/4, 350/9, 3? 3 Which is the fourth biggest value? (a) -223 (b) 0.8 (c) 4 (d) -2/45 a Which is the second smallest value? (a) 57 (b) -0.329 (c) 47 c Which is the third biggest value? (a) -4 (b) -127 (c) 1/4 b Which is the second smallest value? (a) -17 (b) 27 (c) -0.8 (d) -2/3 (e) -2/9 c What is the biggest value in -15/2, -11, 3/7? 3/7 Which is the fourth biggest value? (a) -2/3 (b) -63 (c) 0 (d) 0.3 (e) -1/4 a What is the second smallest value in -0.06613, 1/5, 36, -2? -0.06613 What is the biggest value in -5, 33/2, -1, 0.08? 33/2 Which is the third biggest value? (a) 6 (b) -0.076 (c) -2/9 c What is the third smallest value in -2, 4, 0, -3093, 4/3, 0.2? 0 What is the third biggest value in -0.03, 1, -11119? -11119 Which is the third smallest value? (a) -5 (b) -4/5 (c) -1 (d) -2/3 (e) -7.6 c Which is the third smallest value? (a) 12 (b) 0.08 (c) 0 (d) -3 (e) 0.1 (f) -37 c What is the second smallest value in -1/3, -3/2, 342, 0.08, -25? -3/2 Which is the third biggest value? (a) -7 (b) -2/39 (c) 406 a What is the third smallest value in 1/7, -34, 1/5, 0.02, -2, -5? -2 Which is the smallest value? (a) 0.07 (b) 2/1171 (c) 3 b Which is the third biggest value? (a) -3 (b) -2 (c) -5 (d) -1/2 (e) -1.3 b What is the second biggest value in -0.2, 0.064, -1896? -0.2 Which is the second biggest value? (a) 2/5 (b) 79 (c) 1684 b Which is the second biggest value? (a) 3/4 (b) -5 (c) -4/7 (d) 1/10 (e) 1 (f) 10 e Which is the third smallest value? (a) 0.79 (b) 3/5 (c) 2153 c Which is the third smallest value? (a) 63 (b) -3/11 (c) 4 (d) 3/2 c Which is the third biggest value? (a) 0.5 (b) 0.2 (c) -3654 (d) -38 d What is the second biggest value in 3, 5, 18/11, 0.5, 0.2, 2.5? 3 Which is the second smallest value? (a) -0.054 (b) 0.5 (c) -3/8 (d) 2/13 a Which is the second smallest value? (a) 2/9 (b) -5 (c) 67827 a What is the fourth biggest value in -0.09, -3/5, -77, 0.2? -77 Which is the second smallest value? (a) 0.2 (b) 6 (c) -1 (d) -2/553 d What is the sixth biggest value in 0, 3, -2/15, -123, -0.2, -2/5? -123 What is the third biggest value in 928.1, -4, -29? -29 What is the third smallest value in -2, 2.7, 4, -4, -10? -2 Which is the third biggest value? (a) 21 (b) -2/3 (c) 0.5 (d) -5 (e) 1/7 (f) 3 c What is the second smallest value in -50/13, -3/4, 48? -3/4 Which is the biggest value? (a) -0.02 (b) 4/7 (c) 215 (d) 4 c What is the biggest value in -0.3, -4/9, -3, 181915? 181915 Which is the second biggest value? (a) 5 (b) -9 (c) 146 (d) -16 a What is the second biggest value in -2.9, -1.024, 4/5? -1.024 What is the second biggest value in 4, -1.93, 213/8? 4 Which is the second biggest value? (a) -3/7 (b) 1/6 (c) -0.2116 c What is the smallest value in 143/6, -1/5, -17? -17 What is the second biggest value in -29/2, -2/29, 5, -2/17? -2/29 Which is the fifth biggest value? (a) 9 (b) -8/3 (c) 2 (d) -3 (e) 6 (f) 10/11 b What is the fourth biggest value in -8, -4/9, 2, -3, -0.1, -2455? -3 Which is the third smallest value? (a) 0.1 (b) -1854 (c) -0.4 a Which is the fourth smallest value? (a) -10/7 (b) -2/5 (c) -3 (d) 12 (e) 2/25 e Which is the fourth smallest value? (a) -3 (b) 1/50 (c) -5 (d) -7 (e) -2 e Which is the fifth biggest value? (a) 0.4 (b) 317.29 (c) -3/7 (d) 2/13 (e) -3 (f) 1/2 c Which is the third smallest value? (a) -172.95 (b) -5/6 (c) -0.5 c What is the second biggest value in 15, 2/7, -5, -7/6, -1/2? 2/7 What is the second biggest value in 1/10, 545, -2/53, -2/11? 1/10 Which is the third biggest value? (a) 3 (b) 0 (c) -7 (d) -27.8 c Which is the second biggest value? (a) 1 (b) 2/7 (c) 0.08 (d) 1/4 (e) 38 (f) 4 f Which is the second biggest value? (a) 22 (b) -2 (c) 23 (d) -2.1 a What is the smallest value in -
{ "pile_set_name": "DM Mathematics" }
s s*t(l) + 8*w(l)? l Let f(v) = -10*v + 12. Let g(q) = 4*q - 5. Let y(b) = -b**2 - 3*b - 2. Let w be y(-5). Suppose -3*l - 6 = -3*m, -m + 1 = -2*l + 2*m. Give l*f(z) + w*g(z). 2*z Let y(a) = 1. Let j(n) = -28*n - 7. Let b(s) = s. Let i(v) = 21*b(v) + j(v). Give i(r) + 7*y(r). -7*r Let n(l) = -3 - 7*l + 0 + 2. Let z(m) = -20*m - 3. Let u(x) = 17*n(x) - 6*z(x). Let j(s) = 2*s**2 + 2*s + 3. What is j(p) - u(p)? 2*p**2 + p + 2 Let f(c) = 5*c**3 + 0*c**3 - 3*c - 73 + 70. Let m(z) = -14*z**3 - z**2 + 8*z + 8. Give -8*f(v) - 3*m(v). 2*v**3 + 3*v**2 Let x(v) = 7*v**3 + 5*v - 4. Let t(u) = -3*u**3 - 2*u + 2. Let g be (1/1)/(2/30). Let y be (20/g)/(4/6). Determine y*x(c) + 5*t(c). -c**3 + 2 Let v(t) be the third derivative of 0*t**3 + 1/24*t**4 + 0*t + t**2 + 0. Let b(g) be the third derivative of g**4/12 + g**2. Give -4*b(i) + 9*v(i). i Let d(k) = 4*k + 4. Let f = -9 + 14. Let v(i) = -5 - 6*i - f*i - 6. Let u be (0 - (-56)/(-10)) + 12/(-30). Give u*v(t) - 17*d(t). -2*t - 2 Let k(x) = x**2 - 1. Let s be (-1 + 2 - 2)/1. Let y(i) = -4*i**2 + 5. Calculate s*y(m) - 2*k(m). 2*m**2 - 3 Let p(f) = -6*f**3 - 16*f**2 - 16*f - 16. Let x(v) = -v**2 - v - 1. Determine 5*p(o) - 80*x(o). -30*o**3 Let k(g) be the first derivative of -g**3/3 + g**2 + 42. Let v(l) = -l**2 + 3*l. Give 5*k(t) - 3*v(t). -2*t**2 + t Let d(m) = -1. Let j(f) = -5*f**2 + 4*f + 1. Determine 3*d(v) + j(v). -5*v**2 + 4*v - 2 Let l be (-7)/(-28) + (-3)/(-4). Let g be (-172)/8 + l/(-2). Let t(u) = -u**2 + 2*u - 2*u - 1 + u. Let f(r) = -10*r**2 + 11*r - 11. What is g*t(o) + 2*f(o)? 2*o**2 Let l(u) be the second derivative of u**3/6 - u**2/2 + u. Let n(m) = -2*m - 1. Let r(z) = l(z) + n(z). Let x(g) = -56 + g + 56. Calculate -r(j) - 2*x(j). -j + 2 Let b(y) = 11*y - 8. Suppose -19 + 4 = 5*l. Let g(s) = -4*s + 3. Determine l*b(k) - 8*g(k). -k Suppose 11*h + 22 = 6*h + 3*o, -2*o - 7 = h. Let d(b) = -3*b**2 - 6*b + 2. Let a(c) = 2 - 6*c - c - 4*c**2 + 0*c. What is h*a(v) + 6*d(v)? 2*v**2 - v + 2 Let x(m) = 89*m - 9. Let d(q) = 45*q - 5. Calculate -5*d(v) + 3*x(v). 42*v - 2 Suppose 0 = 8*p - 6*p - 4. Let a = -1 + -3. Let x be (-3)/a - 2/(-8). Let g(r) = -3*r**2 - 2*r. Let t(q) = q**2 - 1. Calculate p*t(k) + x*g(k). -k**2 - 2*k - 2 Let g(d) = -d**3 + d**2 + d + 1. Let c(j) = -7*j**3 + 6*j**2 + 6*j - 27. Determine -c(i) + 6*g(i). i**3 + 33 Let i(x) = 41*x**2 + x + 13. Let o(d) = -27*d**2 - d - 9. Calculate 5*i(l) + 7*o(l). 16*l**2 - 2*l + 2 Let h(t) = t**2 - t. Let q(l) = -4*l**2 - l. Suppose -y + 5*y - d = -9, 0 = -2*y - d + 3. Give y*h(x) + q(x). -5*x**2 Let w(y) = y. Let l(i) = 3*i - 23. What is l(v) - 4*w(v)? -v - 23 Let b(t) = -2*t**2 + 3*t - 5. Let s(d) = -3*d**2 + 5*d - 9. Determine 5*b(g) - 3*s(g). -g**2 + 2 Let l(m) = 13*m**3 - 9*m**2. Let c = -22 - -31. Suppose 2 = -8*w + c*w. Let p(d) = 3*d**3 - 2*d**2. Give w*l(s) - 9*p(s). -s**3 Let g(u) = -3*u**2. Let d(b) = 7*b**2. Let q(p) = 36*p**2. Let w(f) = -16*d(f) + 3*q(f). Give -7*g(j) + 5*w(j). j**2 Let p(x) = 2*x**2 + 2*x + 2. Suppose 7 + 2 = 3*j. Let c(m) = 2*m**2 + 3*m + 3. What is j*p(b) - 2*c(b)? 2*b**2 Suppose -i - 1 + 3 = -5*c, -5*c - 14 = -2*i. Let f be (-6)/4 - (-54)/i. Let v(t) = -4*t**2 - 4*t - 3. Let a(s) = -3*s**2 - 3*s - 2. What is f*a(k) - 2*v(k)? -k**2 - k Suppose 2*x + 2*h = -h + 8, 0 = -x + 3*h - 14. Let k(q) = -2*q**3 - q**2 + q + 1. Let f(a) = -a**2 + a + 1. Determine x*k(t) + 2*f(t). 4*t**3 Let l(d) = 3*d + 3. Let r(z) = -2*z**2 + 10*z - 4. Let v be r(4). Let f(n) = 3*n + 4. Give v*l(m) - 3*f(m). 3*m Suppose -y + 2*y - 9 = k, 0 = 2*k - 3*y + 23. Let d(g) = 9*g**2 + 11*g + 17. Let w(n) = 3*n**2 + 4*n + 6. What is k*d(o) + 11*w(o)? -3*o**2 - 2 Let n(j) = 3*j**3 + 4*j**2 + 5. Let y(w) = -2*w**3 - 2*w**2 - 3. Suppose -x - 25 = -6*x. Determine x*y(b) + 3*n(b). -b**3 + 2*b**2 Suppose -20*f + 18*f = 16. Let c(b) = 5*b + 8. Let u(l) = -2*l - 3. Let v = -2 + 7. Suppose 1 = -2*m - v. Give f*u(j) + m*c(j). j Let r(x) = -3*x + 27. Let l be r(8). Let f(t) = -5*t + 1. Let p(n) = -4*n. Determine l*p(u) - 2*f(u). -2*u - 2 Let f(u) = 2*u**3 - 7*u**2. Let y(i) be the third derivative of -i**6/120 + i**5/15 - 7*i**2. Give 4*f(p) + 7*y(p). p**3 Let s(b) = -b + 1. Let r(z) = 6*z - 5. Let j(x) = -2*r(x) - 11*s(x). Let p(l) = l - 4. Determine 4*j(w) - p(w). -5*w Let u(l) be the second derivative of 5*l**3/6 + 5*l**2/2 - 2*l. Let c(j) = -5*j - j - 4 - 2. Give -4*c(d) - 5*u(d). -d - 1 Let q = 5 - 2. Let m(k) = k + 0 - q + 4. Let d(a) = -a**2 - 2*a - 2. Let g = 0 + -1. Calculate g*m(u) - d(u). u**2 + u + 1 Let d(g) = -5*g - 5. Let l(a) = 1. Calculate d(h) + 6*l(h). -5*h + 1 Let f(k) = -3*k**2 + 4*k. Let h(m) = m**3 + 5*m**2 - 7*m. Determine -7*f(b) - 4*h(b). -4*b**3 + b**2 Let m(o) = -2 - 6 + 3 + 4. Let d(t) = t**2 - t. Calculate 2*d(w) + 2*m(w). 2*w**2 - 2*w - 2 Suppose -9 = -n + 2*w, 2*n - 3*n - 4*w = 21. Let d(g) = g**3 - g. Let a(b) = b**3 + b**2 + b - 1. Calculate n*d(l) - a(l). -2*l**3 - l**2 + 1 Let d(j) = j**3 - j**2 - j + 1. Let h(c) = 4*c**3 - 4*c + 6. Calculate 6*d(f) - h(f). 2*f**3 - 6*f**2 - 2*f Let k(y) be the second derivative of y**4/6 - 2*y**3/3 + y**2 - y. Let i(u) = -u. Calculate 6*i(x) - k(x). -2*x**2 - 2*x - 2 Let t(o) = -o**3 + 183*o**2 - 2*o**3 - 7*o - 183*o**2. Let p(x) = -x**3 - 2*x. Determine 14*p(z) - 4*t(z). -2*z**3 Let k(g) = 24*g. Let x(s) = -5*s. What is 3*k(h) + 14*x(h)? 2*h Let y(k) = 27*k**3 - 4*k**2 + 4*k + 4. Let q(j) = j**3 - j**2 + j + 1. Determine -4*q(z) + y(z). 23*z**3 Let z(i) = 5*i + 17. Let p(q) = q + 2. Let t be p(-11). Let d(a) = a + 4. Give t*d(u) + 2*z(u). u - 2 Let o(b) = -2*b - 1. Let t(w) = 1. Determine -o(a) + 4*t(a). 2*a + 5 Let i(b) = 8*b - 2. Let k(h) = -16*h + 4. Determine 13*i(s) + 6*k(s). 8*s - 2 Let r(q) = -q + 4. Let s be ((-2)/3 + -1)/((-2)/6). Let h(z) = 5. Calculate s*r(a) - 4*h(a). -5*a Let d = 1 - 5. Let x(s) = 3*s**3 - 4*s**2 + s. Let y(z) = 8*z**3 - 11*z**2 + 3*z. Determine d*y(l) + 11*x(l). l**3 - l Let k = 142 + -148. Let w(d) = 18*d**3 + 26*d**2 + 26*d + 26. Let s(r) = 2*r**3 + 3*r**2 + 3*r + 3. Calculate k*w(o) + 52*s(o). -4*o**3 Let w(u) = -u**2 - 4*u - 16. Let y(a) = a + 5. Give 2*w(f) + 7*y(f). -2*f**2 - f + 3 Let m(t) = -5*t**2 - 7*t + 4. Suppose l + 3*x - 36 + 7 = 0, 0 = -5*l + x + 81. Let f(j) = -14*j**2 - 20*j + 11. Calculate l*m(g) - 6*f(g). -g**2 + g + 2 Let g(k) = 2*k - 1. Let o(v) = -v + 1. Give -2*g(q) - 6*o(q). 2*q - 4 Let k(i) = -i + 3. Let s(w) = -1. Suppose -2*o + 3 = 7. Suppose -a + 12 = 5*a. Let r be (-6)/18 + a/(-3). Give o*s(d) + r*k(d). d - 1 Let h(k) = -k - 9. Let g be h(-8). Let c(b) = -1. Let f(v) = 5*v - 3. What is g*f(s) + 5*c(s)? -5*s - 2 Let n(o) = 4*o - 3. Let b(q) = q + 7. Let p be b(-6). Let g(y) = -5*y + 5. Let r(i) = 6*i - 6. Let h(j) = -5*g(j) - 4*r(j). Give p*n(x) - 2*h(x). 2*x - 1 Let r(s) = s - 1. Let c(j) = 9*j - 5. What is c(u) - 6*r(u)? 3*u + 1 Let j(v) = v + 1. Let i(h) = h + 6. Let n be i(-4). Let b(l) be the second derivative of 3*l**2/2 - 4*l. What is n*j(w) - b(w)? 2*w - 1 Let z(p) = p**2 + p. Let a(m) = 19*m**3 + 5*m**2 + 6*m. Calculate a(s) - 6*z(s). 19*s**3 - s**2 Suppose -4*f = -4*l + 24, -2*f + 0*f = 4. Let d(q) = -2*q. Let s(a) = -a. Let z(u) = 0*u + 5*u - 10*u. Let y(k) = -3*s(k) + z(k). Determine l*y(m) - 3*d(m). -2*m Let u(l) = -2 - 3 + 2*l + 0 + 2*l. Let m(s) = -5*s + 6. What is 3*m(f) + 4*u(f)? f - 2 Let u(k) = -3*k**3 + 9*k**2 - 9. Let p(s) = s**2 - 1. Suppose 0 = -q + 1. Suppose 327 = -3*j + 300. Give j*p(d) + q*u(d). -3*d**3 Let m(w) = w**2 - w + 1. Suppose -66 = -5*z - y - y, -68 = -5*z - y. Let a(u) = -8*u**2 + 8*u - 7. What is z*m(v) + 2*a(v)? -2*v**2 + 2*v Let i(b) be the third derivative of -b**5/30 + b**4/24 + b**3/2 - 34*b**2. Let u(q) = -3*q**2 + q + 4. Give -5*i(d) + 4*u(d). -2*d**2 - d + 1 Let n(p) = -2. Suppose -x + 30 = 32. Let r(t) = -t - 4. Give x*r(k) + 5*n(k). 2*k - 2 Let f(r) = 47*r**3 - 3*r**2 + 3*r + 3. Let v(o) = -94*o**3 + 5*o**2 - 5*o - 5. Determine 5*f(z) + 3*v(z). -47*z**3 Let b(j) = j**2 + 1. Let t(y) = -12*y**2 + 6. What is 6*b(f) - t(f)? 18*f**2 Let a(s) = s - 4. Let w be a(-6). Let l be (1 + -5)*5/w. Let g(r) = 5 - 6*r**2 + r**2 - 2*r**3 - r**3. Let t(b) = -b**3 - 2*b**2 + 2. Calculate l*g(f) - 5*t(f). -f**3 Let r(c) = 2*c. Let p(d) = -3*d. Let n(o) = o**3 - 3*o**2 + 4*o - 4. Let i = 3 - 1. Supp
{ "pile_set_name": "DM Mathematics" }
= -0*i + 5*p - 6, 4*i = -4*p + 24. Which is the closest to -2? (a) 0.5 (b) -5 (c) i a Let c(h) = 3*h + 14. Let f be c(-4). What is the nearest to f in -1/7, -0.3, -1/21? -1/21 Let j = 16.69 + -20.69. Let f = -3 + 1. What is the nearest to f in 2, 0.3, j? j Let y = -18.4 + 17.9. Which is the nearest to -0.1? (a) -16 (b) -2/5 (c) y (d) 4 b Let h = -1202 - -1226. Which is the closest to h? (a) -5 (b) 5 (c) -1/2 b Let b = 3/11 + 5/22. Let n = -4.3 + 0.3. Let o = 352.9 - 353. What is the nearest to b in n, 1/2, o? 1/2 Let k = -1 - -0.72. Let l = 1.327 - 0.047. Let z = l + k. Which is the closest to -1? (a) -1/9 (b) -4 (c) z a Let g be ((2 - 0)/6)/((-14)/(-84)). Let h = -0.7 - 1.3. What is the closest to -3/8 in 0.5, g, h? 0.5 Let s = -2.96 + 2.96. Let g = 7/38 + -1/57. Which is the nearest to s? (a) 0.3 (b) g (c) 0.2 b Let y = -2.29 + -3.71. Let g = 0.1 - 0.1. What is the closest to y in g, 3, 1/3? g Let r = -2.9433 - 0.0567. Which is the nearest to 1? (a) -0.3 (b) r (c) 2/3 (d) 3 c Let f = -27.7 + 28.1. What is the closest to 3 in f, 0, 5/3? 5/3 Let y(k) = -k**3 + k. Let l be y(0). Let o = 0.44 - 0.04. Suppose -3*i - 25 = -10, -j = -i - 8. What is the closest to l in o, j, 0.3? 0.3 Let t = -859 + 862. Which is the closest to 0? (a) t (b) -66 (c) 2 (d) -2/7 d Let j be (-332)/130 - -2 - 80/(-200). What is the closest to -99 in j, 2, 4? j Suppose 4*t + 6 = 2*p - 2, -4*t = -3*p + 4. Which is the nearest to -1? (a) 5 (b) -5 (c) t c Let h = 0.1294 + -0.1194. What is the nearest to -1 in h, 1, 3/2? h Let j = 13.06 - 0.06. Let r = j - 12.94. Let v = 2.1 + -3.1. What is the nearest to 2 in -4/5, r, v? r Let u = -0.4234 + -0.0766. What is the closest to 6 in -2/5, 5, 1/2, u? 5 Suppose 5*v + 4 = 2*l, 1 = v - l - 0. Let w = -0.25 + -0.16. Let r = -0.11 - w. Which is the nearest to v? (a) r (b) 0.4 (c) -2 c Let x = -732/35 - -106/5. Suppose -5*i + 37 = d + 2, 5*d + 4*i = 280. Let r be d/112 - (-2)/(-7). Which is the nearest to x? (a) r (b) -1/5 (c) -1 a Let s be 18/(-63) - (-100)/56. Let y = -75 + 74.61. Let w = 0.01 - y. What is the nearest to 1 in s, w, -4? s Let a be 58/2*(12 - 11). Let f = a - 3. Suppose -4*d = d + 2*u - 5, d + f = 5*u. What is the closest to -1 in 2/5, 1/5, d? d Let f = 107 - 106.7. Which is the nearest to -3? (a) f (b) 2 (c) 3 a Let c be 2/((-4)/(-38) - 2565/361). Let p(m) = m + 8. Let n be p(-10). What is the nearest to c in n, -2/3, 5/8? -2/3 Let i = 32.8 + -5.8. Let u = -27.1 + i. Let g = -4 - -4. What is the nearest to u in g, -4/9, 2? g Let u = 3.3 + -5.3. Which is the nearest to u? (a) 2/13 (b) 4 (c) -4 (d) -23 c Let k = 0.0693 - 0.2693. Which is the closest to k? (a) 0.03 (b) -20 (c) 2 a Let h be (1/10)/((-244)/610). Let n(i) = -i**2 + 3*i. Let l be n(4). What is the closest to 0 in 3, l, h? h Let l be 253/132 - 8/12. What is the closest to 0.1 in -2/11, l, -3, -1/4? -2/11 Let y = 19.32 - 3.22. Let s = y + -16. Let t = 0.11 + -0.21. Which is the nearest to s? (a) 5 (b) t (c) 1/8 c Let h be 5 - (-1 - -9) - 50/(-18). Suppose -13*j = -10*j - 15. What is the closest to -3 in h, -0.5, j? -0.5 Let d = -13/12 - -4/3. Let r = 16246 + -16241. Which is the nearest to d? (a) r (b) 2/23 (c) 0.06 b Let x = -508/161 + 66/23. Let o = -0.1 - -0.2. What is the nearest to x in o, 2, 3? o Let l = -59 - -59.4. Let j be (-2)/(-10)*(-45)/(-6). Let r(k) = -k - 1. Let s be r(-3). Which is the nearest to -2/9? (a) l (b) j (c) s a Let p = 0.048 - -1.952. What is the closest to -0.1 in p, 4/3, 5? 4/3 Let f(v) = 8*v + 50. Let s(o) = -2. Let q(y) = f(y) + 8*s(y). Let x be q(-4). Which is the nearest to x? (a) 0.3 (b) -2/9 (c) -0.5 a Let t = 46 - 50. What is the closest to 1 in 1/10, 19, t? 1/10 Let o = 1.003 + -1. Let p = o - -0.097. Which is the nearest to p? (a) 0.5 (b) -2/23 (c) -1 b Let h = 193.158 - 193. Let j = h + -0.558. Which is the closest to -3? (a) -0.05 (b) 3 (c) j c Let s = -1 - -3. Let q be 96/112*(-6)/18. Which is the nearest to q? (a) -0.4 (b) -3/7 (c) s a Let u = 1.94 - 0.24. Let j = 1.75 - 1.05. Let i = j - u. Which is the nearest to i? (a) 1/8 (b) 2 (c) 1 a Suppose 0 = 5*o - 0*o - n + 28, 2 = o - 4*n. Let c(s) = s + 7. Let q be c(o). Let z = 0 + q. What is the closest to z in 1, -5, 5? 1 Let t = -4.928 + -0.072. Which is the closest to 1? (a) 0.028 (b) 1 (c) t b Let q = 11.54 - 11.84. Which is the nearest to 1? (a) 0.5 (b) q (c) -10 (d) 3/4 d Let g = -32 - -31.9. Let c(r) = r**2 + 2*r + 3. Let t be c(-2). Suppose p = t*p. What is the nearest to 2/21 in -2/7, g, p? p Let k = 15/4 + -113/28. Let p = 19.1 + -18.7. Which is the closest to k? (a) -5 (b) -1/5 (c) p b Let k = -48 + 97. Suppose -9*f - 4 + k = 0. Let u = 0.1 - -1.9. What is the nearest to u in f, 0.4, 3? 3 Let j be (3 - 33/9)*(-3)/(-14). Suppose -20 = y - 5*y. What is the closest to 0.1 in -3, j, y? j Let z = -6.5 + 0.5. Let w be (-78)/(-65) - (-4)/5. What is the closest to w in 1/3, z, 5? 1/3 Let m = -5 + 4.7. Let v = -11.7 + m. Let j = v + 13. Which is the closest to j? (a) 0.5 (b) -1/6 (c) -0.5 a Let t = 56 - 81. Let o = t + 26. Let n be (-40)/(-42) - 8/28. Which is the closest to o? (a) n (b) -3 (c) 4 a Let i be (4 - (-4)/24*-21)*4. What is the nearest to 0 in 2/7, 5, i, 56? 2/7 Let w be (-2*(-10)/(-35))/2. What is the nearest to w in -3/8, -0.2, 0.2? -0.2 Let z = 0.653 + 0.057. Let p = z - -0.29. Let u = 2 - 4. Which is the nearest to p? (a) -0.2 (b) u (c) -3 a Let a = 9/59 + -104/295. What is the closest to 9/5 in a, -0.11, -1/6? -0.11 Let n = 2.5 + -2. Let d = -2.15 - -2.3. Let q = 11 + -13. Which is the nearest to 1? (a) d (b) q (c) n c Let p be 81*((-9)/(-4))/3. Let s = p - 61. Let h = -2 - -3. Which is the nearest to h? (a) s (b) -1 (c) 2/5 c Let w = -5.26 - -5.36. What is the nearest to w in -0.3, -3, 2? -0.3 Let g = 3.1 + -0.1. Let u = -4 + -1. Let y be 2 + (-7)/5 + (-72)/70. What is the closest to u in 2, y, g? y Let n = 47.61 - 48. Let j = n - -0.09. What is the nearest to j in 1, 2, 0.4? 0.4 Suppose -299*h - 8 = -297*h. Which is the closest to 0? (a) -1/2 (b) 0 (c) -0.1 (d) h b Let l = -92/63 + 8/9. Suppose -4*n + 5*n - 1 = 0. Let s be (-1)/(-2*n/4). Which is the nearest to 0.1? (a) l (b) 1 (c) s a Let l(s) = 8*s + 51. Let d be l(-7). What is the nearest to -1 in -2, d, 0.02? -2 Let o = 41 - 25. Let k = o + -13. Which is the closest to 0.1? (a) k (b) -2/9 (c) -5/3 b Let h = 49 - 30. Let m = h - 19.1. Let n = -4.1 + 0.1. What is the nearest to -0.1 in m, n, 0.3? m Let d be 4/(-7) + 1/1. Let o be 116/145*2/16. Let v = -329 + 2635/8. Which is the closest to -1? (a) d (b) v (c) o c Let s = -120.96 + 118. Let u = 0.04 - s. Let h = 0.2 - 0.1. What is the closest to h in -4, u, 0.1? 0.1 Let h be 93/45 + (-10)/6. Let q = 5.08 - 0.08. What is the closest to h in 4, 3, q? 3 Let g = -30 - -45. Let r = -15.36 + 0.36. Let a = r + g. What is the closest to -1/4 in a, -3, -5? a Let n = -27 + 27.5. What is the nearest to -0.1 in 10, 1, n? n Let j = -0.182 - -0.082. What is the nearest to -1/2 in j, -0.2, 10? -0.2 Suppose 3*j + 3*g + 2 = 29, j = -4*g + 24. Let o = -5.07 + -25.03. Let f = 30 + o. What is the nearest to f in j, 2, 0? 0 Let p = -9 + -6. Let k be (25/p)/((-2)/(-6)). Let n be (-12)/5 - 2/k. What is the nearest to n in 4, 1/2, -3/4? -3/4 Let r = 11/4 + -59/20. What is the nearest to -0.1 in r, -7, -1, 4/7? r Let u = -226 - -223. Let a = -12.7 - -13. What is the nearest to a in u, -2, 2? 2 Let o = -192 - -300. Let x = 108.5 - o. Which is the nearest to 1? (a) 0.49 (b) x (c) 0.3 b Let p = -76 - -76. Which is the closest to p? (a) -2 (b) 3/5 (c) 5 b Let q(d) = d - 3. Let i be q(5). What is the nearest to 0 in -0.5, -0.2, i? -0.2 Let k = -1 + 1.1. Let y = -0.1 - -0.2. Let h be 5 + ((-4)/(-9))/(35/(-420)). What is the closest to k in -1/5, h, y? y Suppose 3*k - 5*z + 35 = 0, 0 = -2*k + z - 3*z - 34. Let h be (2/(-24))/((-5)/k). What is the closest to h in -3, 1/7, 0.07? 0.07 Let h = 176 + -181.65. Let l = h + 0.65. Let v be 1/(-3)*(-18)/8. Which is the closest to -6? (a) v (b) l (c) -0.3 b Let z = 6987313/117 + -59725. Let s = z - -54/13. Let g = 0.118 - 2.118. What is the nearest to s in -1, -4, g? -1 Let j = -2/1213 + 2452/15769. Which is the closest to j?
{ "pile_set_name": "DM Mathematics" }
i**4/11 + 29114*i**3/11 - 276576*i**2/11 - 665640*i/11 = 0. -129, -2, 0, 10 Determine f, given that -f**4/4 + 5*f**3/4 + 337*f**2/4 + 2611*f/4 + 1470 = 0. -7, -5, 24 Factor 4*v**2/3 - 43176*v + 349531308. 4*(v - 16191)**2/3 Factor m**3 - 100*m**2 - 643*m + 742. (m - 106)*(m - 1)*(m + 7) Solve -2*c**3/5 + 62*c**2/5 - 22*c - 174/5 = 0. -1, 3, 29 Determine s so that -3*s**2 + 2439*s - 9708 = 0. 4, 809 Factor -2*x**2/3 + 8990*x/3 - 2996. -2*(x - 4494)*(x - 1)/3 Factor -2*s**3 - 3156*s**2 - 1266840*s - 17122672. -2*(s + 14)*(s + 782)**2 Factor -a**3/5 - 137*a**2 + 686*a/5. -a*(a - 1)*(a + 686)/5 Factor -10*r**2 + 7306*r/3 - 35780/3. -2*(r - 5)*(15*r - 3578)/3 Factor -39*m**3 + 14106*m**2 + 4344*m. -3*m*(m - 362)*(13*m + 4) Factor -d**3/2 + 7427*d**2/2 - 18557*d + 14844. -(d - 7422)*(d - 4)*(d - 1)/2 Factor -5*j**3 + 9020*j**2 + 36185*j - 45200. -5*(j - 1808)*(j - 1)*(j + 5) Let 10*s**5 - 1345*s**4 + 34975*s**3 + 134375*s**2 + 137815*s + 39770 = 0. Calculate s. -2, -1, -1/2, 41, 97 Suppose -10*f**5/3 - 98*f**4/9 - 6*f**3 + 82*f**2/9 + 28*f/3 + 16/9 = 0. Calculate f. -2, -1, -4/15, 1 Let -2*t**3 + 1096*t**2 - 40042*t + 173060 = 0. What is t? 5, 34, 509 Find r such that 4*r**3 - 1313*r**2/7 + 1147*r/7 + 138/7 = 0. -3/28, 1, 46 Suppose 11*k**3/4 + 61*k**2 + 275*k/4 + 21/2 = 0. Calculate k. -21, -1, -2/11 Solve 20*g**4 - 1304*g**3 + 17156*g**2 + 18480*g = 0. -1, 0, 20, 231/5 What is u in -5*u**3 + 3600*u**2 - 350320*u = 0? 0, 116, 604 Determine r so that 2*r**2/5 + 162*r + 5572/5 = 0. -398, -7 Suppose 3*z**4 - 18*z**3 - 1704*z**2 + 18*z + 1701 = 0. Calculate z. -21, -1, 1, 27 Determine y so that 4*y**5/3 - 116*y**4/3 + 388*y**3/3 + 340*y**2/3 - 968*y/3 - 800/3 = 0. -1, 2, 4, 25 Factor 3*q**4 - 198978*q**3 + 596907*q**2. 3*q**2*(q - 66323)*(q - 3) Suppose -4*s**2 - 17112*s + 17116 = 0. What is s? -4279, 1 Determine o so that -o**5/9 + 19664*o**4/9 - 32235848*o**3/3 + 386594240*o**2/9 - 386515600*o/9 = 0. 0, 2, 9830 Let 7*b**4 - 2176708*b**3 + 169216658003*b**2 - 48347438882*b = 0. What is b? 0, 2/7, 155479 Solve 4*h**2 + 364600*h + 8308322500 = 0 for h. -45575 Determine l, given that 2*l**2/5 + 84848*l/5 = 0. -42424, 0 Factor 10*n**4/9 + 42*n**3 + 72*n**2. 2*n**2*(n + 36)*(5*n + 9)/9 Let -2*u**4/3 + 126920*u**3/3 - 671237572*u**2 + 4027044680*u/3 - 2013458882/3 = 0. Calculate u. 1, 31729 Factor -2*c**4/5 + 18452*c**3/5 - 36898*c**2/5 + 18448*c/5. -2*c*(c - 9224)*(c - 1)**2/5 Let 2*j**3/11 + 678*j**2/11 - 23744*j/11 = 0. Calculate j. -371, 0, 32 Factor -42*v**3 - 80*v**2 - 34*v + 4. -2*(v + 1)**2*(21*v - 2) Suppose -5*u**2 + 1188235*u - 3564660 = 0. Calculate u. 3, 237644 Solve -4*z**5 + 31808*z**4 + 254660*z**3 + 477632*z**2 - 254656*z - 509440 = 0. -4, -1, 1, 7960 Factor -2*r**2 + 16730*r + 133968. -2*(r - 8373)*(r + 8) Suppose -2*k**4 - 558*k**3 - 30908*k**2 - 117000*k - 114800 = 0. What is k? -205, -70, -2 Let 2*r**3/3 - 32*r**2 + 574*r/3 + 880 = 0. What is r? -3, 11, 40 Suppose -f**2/3 + 1855*f - 60852 = 0. Calculate f. 33, 5532 Determine c, given that 5*c**5 + 70*c**4 - 935*c**3 + 2240*c**2 - 1380*c = 0. -23, 0, 1, 2, 6 What is o in 4*o**3 - 3305668*o**2 + 682963405052*o + 682966710724 = 0? -1, 413209 Factor 2*g**4 + 2140*g**3 + 497474*g**2 - 40112160*g + 702675072. 2*(g - 33)**2*(g + 568)**2 Let -j**5/5 - 547*j**4/5 - 4336*j**3/5 - 12968*j**2/5 - 17264*j/5 - 8624/5 = 0. Calculate j. -539, -2 Find l, given that -4*l**3 + 100*l**2 + 16*l - 8320 = 0. -8, 13, 20 Let 10*a**3/7 + 344*a**2/7 - 974*a/7 - 444/7 = 0. What is a? -37, -2/5, 3 Factor 5*k**2 - 59615*k - 536940. 5*(k - 11932)*(k + 9) Factor 93*z**4/2 + 291*z**3/2 + 315*z**2/2 + 129*z/2 + 6. 3*(z + 1)**3*(31*z + 4)/2 Factor 496*b**2 + 514*b + 18. 2*(b + 1)*(248*b + 9) Find l such that l**4 - 161*l**3/3 - 12463*l**2 + 62849*l/3 + 8366 = 0. -89, -1/3, 2, 141 Factor -5*b**2 - 10395*b - 1402150. -5*(b + 145)*(b + 1934) Find c such that -2*c**3/7 - 3216*c**2/7 - 1446426*c/7 - 119568212/7 = 0. -751, -106 Factor -15*c**2 + 353575*c. -5*c*(3*c - 70715) Factor -f**2/4 - 231*f/2 + 463/4. -(f - 1)*(f + 463)/4 Let 56*g**3 - 5100*g**2 + 15148*g - 1056 = 0. What is g? 1/14, 3, 88 Suppose -2*q**5/3 - 24*q**4/5 - 106*q**3/15 + 12*q**2/5 + 16*q/3 = 0. Calculate q. -5, -2, -1, 0, 4/5 What is h in 5*h**2 + 3303245*h + 3303240 = 0? -660648, -1 Factor -m**2/7 + 1265*m - 26556/7. -(m - 8852)*(m - 3)/7 Determine i, given that -2*i**5/7 + 26*i**4/7 + 172*i**3/7 + 144*i**2/7 = 0. -4, -1, 0, 18 Factor -t**3/2 + 32*t**2 - 243*t/2 + 90. -(t - 60)*(t - 3)*(t - 1)/2 Factor -1102*r**4/5 - 1526*r**3 + 588*r**2/5. -2*r**2*(r + 7)*(551*r - 42)/5 Find a, given that 6*a**3 - 947968*a**2 - 315994*a + 631980 = 0. -1, 2/3, 157995 Find c, given that c**2 + 34898*c + 304467601 = 0. -17449 Suppose 2*x**5/7 - 2036*x**4/7 + 366362*x**3/7 + 77266200*x**2/7 + 2880405000*x/7 = 0. Calculate x. -66, 0, 575 Find x such that -10*x**4 - 2688*x**3 + 538*x**2 = 0. -269, 0, 1/5 Let j**5/5 - 91*j**4/5 + 663*j**3/5 + 91*j**2/5 - 664*j/5 = 0. Calculate j. -1, 0, 1, 8, 83 Factor -3*n**2 + 697278*n - 1394544. -3*(n - 232424)*(n - 2) Determine a, given that -5*a**2 + 10040*a = 0. 0, 2008 Suppose p**3/7 + 35457*p**2/7 - 10131*p + 35459/7 = 0. What is p? -35459, 1 Suppose -2*x**4 - 2*x**3 + 23124*x**2 + 92456*x + 92432 = 0. What is x? -106, -2, 109 Determine h so that 2*h**2 - 8828*h + 522480 = 0. 60, 4354 Factor 4*x**2 + 451328*x. 4*x*(x + 112832) Suppose -3*s**3 + 765*s**2 - 34512*s - 35280 = 0. What is s? -1, 60, 196 Suppose -2*x**5/17 - 108*x**4/17 + 16640*x**3/17 + 1134428*x**2/17 + 8941314*x/17 + 7823632/17 = 0. Calculate x. -71, -8, -1, 97 Solve -2*w**2/7 + 7790*w/7 + 7792/7 = 0 for w. -1, 3896 Suppose 3*v**2 - 276966*v + 1107816 = 0. What is v? 4, 92318 Factor 2*w**2/13 - 1064*w/13 + 141224/13. 2*(w - 278)*(w - 254)/13 Factor l**3/11 + 10*l**2 - 3673*l/11 + 3562/11. (l - 26)*(l - 1)*(l + 137)/11 Find o such that 16000*o**4/9 - 47549600*o**3/9 - 792520*o**2 - 356638*o/9 - 5944/9 = 0. -1/20, 2972 Solve 968*y**5/7 - 38280*y**4/7 + 250674*y**3/7 - 554224*y**2/7 + 55008*y - 82944/7 = 0 for y. 1/2, 36/11, 32 Suppose 3*b**3 + 6987*b**2 + 227400*b + 220416 = 0. What is b? -2296, -32, -1 Factor -7*p**3/6 - 557*p**2 + 2883*p/2 + 720. -(p - 3)*(p + 480)*(7*p + 3)/6 Factor 18*l**3/7 + 1726*l**2/7 - 3506*l/7 + 1762/7. 2*(l - 1)**2*(9*l + 881)/7 Solve -n**2/3 + 11569*n = 0 for n. 0, 34707 Factor -x**2 - 401268*x - 40254001956. -(x + 200634)**2 Determine i so that -4*i**2/7 - 4193040*i/7 - 1098849027600/7 = 0. -524130 Factor -5*j**3 - 165*j**2 - 430*j + 600. -5*(j - 1)*(j + 4)*(j + 30) Factor -2*f**3/25 - 10916*f**2/25 - 14927576*f/25 - 89172912/25. -2*(f + 6)*(f + 2726)**2/25 Suppose 9*c**4/5 - 4107*c**3/5 - 23499*c**2/5 - 29133*c/5 + 12474/5 = 0. Calculate c. -3, 1/3, 462 Suppose i**4 - 444*i**3 + 51024*i**2 - 385424*i + 570288 = 0. What is i? 2, 6, 218 Factor 2*q**2/9 - 3086*q/9 - 40052/3. 2*(q - 1581)*(q + 38)/9 Find f such that 98*f**5/5 - 434*f**4/5 - 20698*f**3/5 - 22654*f**2 - 166672*f/5 - 73568/5 = 0. -44/7, -1, 19 Let -2*d**2/5 + 143954*d/5 = 0. What is d? 0, 71977 Determine g, given that 334*g**2 - 4012*g + 48 = 0. 2/167, 12 Solve v**3/6 + 31*v**2/6 + 24*v - 270 = 0 for v. -18, 5 Solve -3*h**4 - 1146*h**3 + 27885*h**2 - 24432*h - 53460 = 0 for h. -405, -1, 2, 22 Solve -3*k**2 - 306*k + 3360 = 0 for k. -112, 10 Factor -913*f**2/4 + 10045*f/4 - 11/2. -(f - 11)*(913*f - 2)/4 Let 5*w**4 + 1740*w**3 - 12370*w**2 + 19500*w - 8875 = 0. What is w? -355, 1, 5 Suppose -g**4 + 486*g**3 - 54513*g**2 - 1102248*g - 5143824 = 0. What is g? -9, 252 Factor -3*w**2 - 1091952*w - 99363264192. -3*(w + 181992)**2 Find b such that 4*b**5 - 11704*b**4 - 70352*b**3 - 46936*b**2 + 70348*b + 58640 = 0. -5, -1, 1, 2932 Suppose 3*h**4 - 1620*h**3 + 207066*h**2 + 3141180*h + 11279163 = 0. Calculate h. -7, 277 Solve -n**4/6 + 199*n**3 - 366893*n**2/6 + 1033508*n + 1094856 = 0. -1, 19, 588 Let -u**4 - 3*u**3 + 1489*u**2 + 8907*u + 13320 = 0. Calculate u. -37, -3, 40 Suppose n**5/2 + 475*n**4/2 - 21237*n**3/2 + 245929*n**2/2 - 176380*n - 310200 = 0. Calculate n. -517, -1, 3, 20 Let -2*o**2/21 - 214738*o/21 - 214724/3 = 0. What is o? -107362, -7 Let 2*c**4/3 - 58*c**3/3 + 100*c**2/3 + 232*c/3 - 144 = 0. Calculate c. -2, 2, 27 What is p in p**5 - 10*p**4 - 3*p**3 + 160*p**2 - 4*p - 4
{ "pile_set_name": "DM Mathematics" }
6)). Which is bigger: a or v? a Suppose 4*n - 31 = 21. Suppose 2*a - 14 = -2*o, -3*a + 4*o - 7 = -42. Let z = a - n. Is 0 greater than or equal to z? True Let s(l) = -7*l + 35. Let m be s(-4). Suppose -4*g + 13*g - m = 0. Which is smaller: 57/8 or g? g Let a = 135001/19 - 7107. Is a bigger than -3? True Let x = 14/117 + 89/234. Let u = 395.562 + -396. Is x greater than u? True Let v(n) = n**3 + 2*n**2 - 7*n + 3. Suppose -h - 16 = 3*h + u, 0 = 2*u. Let k be v(h). Which is greater: k or 2/2055? 2/2055 Suppose 15 = 5*f - 5. Let v be (-5)/((-3480)/138) + (-1)/f. Let z = 17 + -17. Which is bigger: z or v? z Let y(q) = 4*q**2 + 74*q + 165. Let n be y(-43). Are n and 4380 equal? False Let y(z) = -z**3 + 8*z**2 - 6*z - 13. Let h be y(4). Let c be 54/(-243) - (-456)/h*7. Is 117 >= c? False Let z = 11493 - 11548. Is z bigger than -31? False Let u(t) = -t**3 + 18*t**2 + 36*t - 240. Let m(a) = a + 12. Let n be m(7). Let o be u(n). Is o not equal to 82? True Let h = -9 + 9.6. Let l = -443 + 457. Which is smaller: h or l? h Suppose -1 = 5*k + 74. Suppose 4*x = 5*h + x - 8, -5*x - 5 = 0. Let a be (h - k)*28/48*3. Is a less than 28? False Let t = 265.67 + -261.67. Is 2/359 > t? False Let a be 3/((-12)/4)*2. Let y be 1 + (5 - (a - -4)). Let u be y/15 - (6 - (-96)/(-18)). Which is bigger: 1/8 or u? 1/8 Suppose 60*f - 299 = -8*f - 27. Let s = 20 + -3. Which is greater: s or f? s Let b = 107600/7 + -15969. Let q = 592 + b. Is -6 greater than q? False Suppose -3*r = t + 8, -92 + 60 = 4*t + 4*r. Suppose 3*u + 3*a + 42 = 0, -2*a - 14 = u - 4*a. Do t and u have different values? True Let d = -77 + -148. Let q = d + 223. Let j = 1179/14 - 169/2. Is j at least as big as q? True Let k be (13 - (2 + 11))/(-4). Which is smaller: 4/677 or k? k Let g = -0.499 - -101.499. Let y = g - 100.8. Which is greater: -3.1 or y? y Let a be (-21)/18*28/49. Let j = 2055386 + -2201318635/1071. Let t = -1/119 + j. Is a <= t? True Suppose a - 3*g - 52 + 29 = 0, -g - 29 = -3*a. Let d(p) = 2*p**3 - 16*p**2 + 3*p - 3. Let q be d(a). Is 20 at most q? True Let w be (5 + -1)*(-465)/(-4). Suppose 0 = 463*b - w*b + 24. Let r = -20 + 35. Is b at least r? False Suppose 0 = -11*j + 8 + 14. Suppose b + 52 - 64 = 0. Let o be 4*2/8 + b/(-28). Which is bigger: j or o? j Let y = 62596 + -687724/11. Which is smaller: y or 75? 75 Let h = 5570.3 - -1271.7. Do h and 0.1 have different values? True Let o be (2/(-10))/((-19)/190*2). Which is greater: o or -2/51429? o Let z = -0.52 - 7.08. Let i = z - -6.8. Is 1/7 smaller than i? False Suppose -14*j + 0*j = -11 - 3. Which is smaller: 10/1781 or j? 10/1781 Let y = -0.03542 + 0.23542. Which is smaller: y or 0.238? y Suppose 5*p - 3*x - 7 = 0, 5*p - 187*x + 13 = -189*x. Is p smaller than 36/259? True Let j be (-28)/45 - (-4)/18. Let t be (15 + 5055/(-45))/(200/(-60)). Which is smaller: j or t? j Suppose -4*r - 5*b + 1044 = -3*b, 5*r + 5*b - 1295 = 0. Suppose r - 59 = 4*y. Suppose 14*q - 205 = -y. Which is smaller: q or 9? 9 Suppose -v - 26 = v. Let k(r) = r**2 - 23*r - 21. Let b be k(23). Let j be -10*(-5)/10 + b. Are v and j equal? False Let m = -4779 - -4780. Are -59 and m nonequal? True Let x = 70.11 - 73.2. Let b = 3.19 + x. Let s = -7.2 - -20.1. Is b != s? True Let l = 53.2 + 15.1. Let q = -75 + l. Let v = -7.2 - q. Is 3 > v? True Let a = -0.106151 + -0.893849. Suppose d = -3*d + 20, 3*k - 1101 = -3*d. Which is smaller: k or a? a Let n(b) = -b - 255. Let w be n(0). Let x = 924324 - 924578. Is x bigger than w? True Let u = 1/73 - 381/1168. Let i be (1/(-2))/1*0. Suppose 3*o - 17 = 5*j, -4*o + 0*j - j - 8 = i. Is o < u? True Let t = 2034 + -2035. Let i = 2100 - 153296/73. Which is smaller: t or i? t Suppose 0 = -20*m - 5748 - 3512. Let p = 3239/7 + m. Which is smaller: -1/60 or p? p Let s = 8485.4 - 8458. Is s > -5? True Let n be ((-52)/(-195))/((-6)/63)*(-15)/(-381). Which is bigger: n or -1? n Let b(m) = -3*m**2 - 2*m**3 - 6*m**2 + 6 + m - 7*m + 8*m**2. Let u be b(-4). Which is smaller: 144 or u? u Let d = 311/22 - 150/11. Let l be 437/(-418) + 3/(-2). Which is bigger: d or l? d Suppose 15*v = 12*v + 18. Let f be ((-25)/v)/(3/4). Let p(t) = t**3 - 4*t**2 - 23*t + 8. Let o be p(7). Which is bigger: f or o? f Let q be (-1 + 2685/25)*5. Suppose -5*c = 3*i - q, -3*c + 406 - 84 = -i. Is c at least 107? True Let z be (22/6)/((-8)/(-24)). Suppose -z = -7*g + 3. Suppose -12*l = -13*l + g. Is 2 equal to l? True Let i(f) = 2*f**2 + 21*f + 62. Let n be i(-5). Let m = 1 - 1. Suppose m = -5*r + n*r - 2. Which is greater: -1/18 or r? r Let s = -17 - 22. Let x = -1542 - -32359/21. Let l = x + 10/7. Is l < s? False Let o(b) = -5*b + 8. Let g be o(0). Let l be (-93)/15 - 3 - g/10. Is -14 at least l? False Let u = -101 + 76. Let s be 13/(-3 - 80/u). Do 67 and s have the same value? False Let p(q) = -q**3 - 2*q**2 - 1. Let l be p(-2). Let y be 3/(-258)*35/((-12950)/148). Which is smaller: y or l? l Let b be (1 + (-1014)/310)*(-16)/(-2144). Let h = b + -2/155. Which is greater: h or -3? h Let o be ((-54)/(-72))/(3/12). Suppose 3*k = -4*p + o*p - 5, -14 = -4*p + 5*k. Is p greater than -2/471? True Let y(z) = -3*z + 20. Let q be y(5). Let r(h) = 15*h - 13. Let w be r(q). Is w at least 62? True Suppose 3*x + 0*o + 198 = -3*o, -4*x - 2*o = 272. Let g be ((-4)/20*(-286)/143)/(8/(-1410)). Are x and g equal? False Suppose 2*t - 5*b + 9*b = -40, -b - 24 = t. Let n be (-1)/(((-2)/(-24))/((-217)/t)). Which is smaller: n or -94? -94 Suppose 7*c = 6*c - 161. Let i be (-2)/(-5) + (-9729)/60. Let p = i - c. Is -2 smaller than p? True Let i = 3 + -2. Let u = -133/15 + 169013/19065. Is i <= u? False Suppose -945*l + 964*l + 19 = 0. Is -55/401 at least as big as l? True Let d = -9960 + 21521/2. Is d less than or equal to 801? True Suppose -4*n - 25*q + 20*q = -58, -61 = -3*n + 5*q. Suppose 3*m - 72 = -2*m + d, -60 = -3*m - 5*d. Which is smaller: m or n? m Let b(a) = 6*a**3 - 17*a**2 + 14*a - 38. Let q(d) = -7*d**3 + 16*d**2 - 14*d + 39. Let f(m) = -5*b(m) - 4*q(m). Let h be f(10). Which is greater: -3 or h? -3 Suppose -151*b = -348 + 35380. Is b bigger than -236? True Let f = 15.457 - 16.917. Which is greater: -7/5 or f? -7/5 Let z be (-3)/(-1 + 35/2). Let h = 0.361896 + -77.361896. Do z and h have the same value? False Let m = 76281466 - 35318288431/463. Let v = -1/926 + m. Which is bigger: 66 or v? 66 Let q = -2081 - -2224. Which is greater: 145 or q? 145 Suppose 124*u = 3343 - 13510 - 33729. Which is greater: u or -356? u Let l be -11 - ((3 - 4) + 107). Which is greater: -104 or l? -104 Let i = 7.80582 - 1.00582. Let v = -3 - -4. Are i and v equal? False Let x be (-6726)/(-9)*(-48)/160. Are x and -223 equal? False Let a(g) = 29*g + 368. Let o be a(-13). Is o at least as big as -144/17? False Let b = 1/59652 - 124702507/59652. Is -2090 > b? True Let p be (-30 - -24) + (-1 - -4). Let a be ((-35)/25 - -2)*5. Let m = a - 16. Is p less than or equal to m? False Let s = 0.851 + 33.249. Let p = s + -34. Suppose -3*j = -4*u - 14, 2*u + 1 - 5 = -4*j. Which is smaller: j or p? p Let g(w) = -82*w**3 - 367*w**2 + 7*w + 17. Let a be g(-5). Which is smaller: a or 1066? a Let z(r) = -r**2 - 121*r + 725. Let d be z(6). Let y be (0 - (-6)/16)/(36/(-3536)). Which is smaller: d or y? d Let f = -5147 + 5142.009. Let x = -0.091 - f. Let k = -2.9 + x. Which is smaller: 2/19 or k? 2/19 Let f be 212*(-4)/(-12)*(-3)/(-2). Suppose 0 = 4*x - f + 18. Let t = x + -7. Is 14 at least as big as t? False Let o(b) = b**2 - 75*b + 952. Let m be o(38). Is -454 at most as big as m? True Let p(d) = 6*d - 38. Let h be p(5). Let l be (-8)/h*4/(-1922). Which is smaller: l or 1? l Suppose -10*n + 12*n = 140. Let h = -632/9 + n. Let l = 0.057 - 4.057. Is l != h? True Suppose 7*i = 8*i + 2*b - 494, -4*i + 2011 = b. Let q = -722 + i. Do -217 and q have the same value? False Let w be (-6063)/517*11/2. Are w and 2/13 non-equal? True Let l = -7169/55 + 1109/5. Are l and 90 unequal? True Let c = -2141287699/12201 - -175501. Is c equal to -1? False Let x = 20 + -54. Let s = x - 75. Let o = s - -109.2. Which is smaller: o or 1? o Let b(m) = m - 5. Let y be b(0). Let s(u) = u + 3. Let x be s(y). Let k be (-1)/x*(-13 + -21). Does k = -18? False Let t(c) be the third derivative of -c**6/120 + c**4/12 - 4*c**3/3 - 9*c**2. Let d be t(-6). Let
{ "pile_set_name": "DM Mathematics" }
ase 9) in base 12? 1b 76 (base 15) to base 10 111 -1 (base 11) to base 13 -1 52 (base 11) to base 14 41 -20 (base 15) to base 4 -132 What is -3 (base 15) in base 2? -11 What is 3 (base 10) in base 16? 3 -2 (base 4) to base 9 -2 Convert -2 (base 12) to base 15. -2 What is -1c (base 16) in base 7? -40 Convert 14 (base 16) to base 2. 10100 Convert -1 (base 12) to base 7. -1 -169 (base 11) to base 4 -3010 -10 (base 2) to base 14 -2 Convert -42 (base 6) to base 3. -222 What is 3 (base 8) in base 10? 3 Convert -11 (base 4) to base 14. -5 Convert 0 (base 6) to base 9. 0 Convert -13 (base 9) to base 12. -10 Convert 3 (base 9) to base 13. 3 -53 (base 9) to base 10 -48 -4 (base 14) to base 9 -4 Convert 31 (base 13) to base 5. 130 Convert 20 (base 7) to base 5. 24 11 (base 10) to base 2 1011 Convert 1000 (base 2) to base 8. 10 Convert 0 (base 15) to base 11. 0 What is 10 (base 3) in base 8? 3 Convert -b (base 16) to base 12. -b What is 8 (base 13) in base 5? 13 48 (base 9) to base 14 32 What is -56 (base 8) in base 6? -114 Convert -40 (base 10) to base 14. -2c -221 (base 7) to base 16 -71 2121 (base 4) to base 12 109 What is -23 (base 7) in base 2? -10001 2 (base 5) to base 16 2 What is 11 (base 2) in base 7? 3 What is 3d (base 14) in base 12? 47 What is 367 (base 9) in base 7? 613 108 (base 10) to base 9 130 What is -1 (base 2) in base 11? -1 -1 (base 16) to base 6 -1 Convert 10 (base 6) to base 3. 20 0 (base 16) to base 4 0 Convert 2 (base 10) to base 6. 2 What is 26 (base 9) in base 11? 22 Convert -45 (base 7) to base 3. -1020 What is -d3 (base 16) in base 9? -254 What is 2 (base 14) in base 10? 2 What is -110 (base 2) in base 7? -6 What is -144 (base 5) in base 10? -49 a1 (base 11) to base 10 111 What is 42 (base 12) in base 16? 32 -322 (base 4) to base 5 -213 -70 (base 13) to base 16 -5b What is -34 (base 8) in base 3? -1001 Convert -26 (base 10) to base 5. -101 What is -4 (base 6) in base 12? -4 What is -312 (base 4) in base 12? -46 What is 143 (base 15) in base 12? 200 What is 4 (base 9) in base 11? 4 What is -53 (base 6) in base 9? -36 What is 4 (base 10) in base 3? 11 Convert 3 (base 15) to base 5. 3 Convert -1101 (base 3) to base 11. -34 What is -28 (base 16) in base 3? -1111 Convert 12 (base 4) to base 13. 6 What is -43 (base 8) in base 16? -23 Convert 4a (base 15) to base 3. 2121 -110 (base 2) to base 5 -11 -11 (base 9) to base 14 -a Convert -d4 (base 14) to base 13. -114 -13 (base 12) to base 11 -14 -4 (base 6) to base 2 -100 2c (base 14) to base 12 34 Convert 1001 (base 2) to base 15. 9 What is -3 (base 5) in base 9? -3 Convert 41 (base 12) to base 16. 31 What is -c (base 16) in base 12? -10 Convert 1 (base 15) to base 2. 1 Convert -1 (base 2) to base 12. -1 Convert -10 (base 7) to base 15. -7 -3 (base 6) to base 5 -3 Convert -155 (base 7) to base 10. -89 What is -2443 (base 5) in base 11? -30a 29 (base 12) to base 7 45 3 (base 10) to base 7 3 11111 (base 2) to base 9 34 Convert 100 (base 2) to base 16. 4 2132 (base 4) to base 7 314 3 (base 15) to base 10 3 1000 (base 2) to base 8 10 -ad (base 14) to base 9 -180 What is 0 (base 5) in base 4? 0 What is 1000 (base 3) in base 14? 1d What is 0 (base 9) in base 3? 0 Convert 14 (base 11) to base 2. 1111 What is -8 (base 16) in base 15? -8 Convert -14 (base 13) to base 5. -32 Convert 15 (base 7) to base 14. c 4a (base 11) to base 12 46 What is -11 (base 10) in base 5? -21 -150 (base 8) to base 4 -1220 What is -100 (base 2) in base 5? -4 Convert 0 (base 4) to base 10. 0 3 (base 11) to base 7 3 -10 (base 11) to base 14 -b 16 (base 12) to base 15 13 3 (base 6) to base 9 3 40 (base 12) to base 11 44 Convert -106 (base 13) to base 16. -af What is 1 (base 9) in base 6? 1 What is 0 (base 8) in base 6? 0 What is 3 (base 11) in base 2? 11 -2 (base 11) to base 3 -2 5a (base 11) to base 6 145 -102 (base 3) to base 13 -b 4b (base 15) to base 6 155 Convert -40 (base 14) to base 8. -70 330 (base 6) to base 2 1111110 Convert -44 (base 6) to base 2. -11100 -22 (base 5) to base 11 -11 What is -6 (base 9) in base 16? -6 What is 3 (base 10) in base 7? 3 -3 (base 14) to base 5 -3 What is -5 (base 12) in base 4? -11 Convert -1001 (base 2) to base 3. -100 What is 12 (base 11) in base 4? 31 -1001 (base 4) to base 15 -45 -1103 (base 5) to base 4 -2121 71 (base 10) to base 2 1000111 What is 30 (base 15) in base 6? 113 1 (base 16) to base 13 1 What is -14 (base 6) in base 14? -a Convert -15 (base 16) to base 11. -1a -2004 (base 5) to base 8 -376 What is -1 (base 13) in base 7? -1 Convert -2 (base 11) to base 4. -2 Convert 6 (base 11) to base 2. 110 What is -42 (base 9) in base 5? -123 What is 6 (base 9) in base 15? 6 What is 122 (base 4) in base 13? 20 Convert 34 (base 10) to base 15. 24 Convert -70 (base 10) to base 13. -55 What is 44 (base 10) in base 6? 112 What is -14 (base 12) in base 4? -100 What is -10 (base 6) in base 9? -6 Convert 22 (base 5) to base 6. 20 Convert -312 (base 5) to base 15. -57 What is -3 (base 12) in base 8? -3 What is -12 (base 3) in base 12? -5 Convert -25 (base 7) to base 2. -10011 Convert -3 (base 6) to base 5. -3 2b (base 13) to base 8 45 Convert 20 (base 3) to base 11. 6 What is -4 (base 9) in base 2? -100 What is 45 (base 6) in base 15? 1e 100 (base 3) to base 9 10 Convert -1 (base 14) to base 4. -1 -103 (base 6) to base 9 -43 Convert -6 (base 16) to base 6. -10 Convert 2 (base 15) to base 7. 2 1 (base 8) to base 5 1 Convert -43 (base 16) to base 2. -1000011 21 (base 14) to base 6 45 What is 4 (base 9) in base 14? 4 What is -10021 (base 3) in base 5? -323 Convert -4 (base 10) to base 15. -4 Convert 111101 (base 2) to base 5. 221 Convert 10 (base 2) to base 10. 2 Convert -11 (base 7) to base 5. -13 -1 (base 14) to base 8 -1 Convert 110111 (base 2) to base 9. 61 What is -101001001 (base 2) in base 11? -27a 101 (base 2) to base 16 5 What is 2 (base 9) in base 4? 2 206 (base 11) to base 3 100012 What is 20 (base 13) in base 16? 1a Convert 51 (base 9) to base 3. 1201 -361 (base 8) to base 2 -11110001 9 (base 11) to base 14 9 What is 11 (base 2) in base 13? 3 Convert 4 (base 8) to base 15. 4 What is -101 (base 2) in base 13? -5 103 (base 4) to base 13 16 What is -10 (base 4) in base 10? -4 -1 (base 9) to base 6 -1 Convert 0 (base 14) to base 13. 0 Convert -74 (base 15) to base 4. -1231 What is -44 (base 7) in base 5? -112 4 (base 11) to base 9 4 Convert 33 (base 4) to base 12. 13 14 (base 5) to base 11 9 What is -3 (base 13) in base 5? -3 -7 (base 9) to base 14 -7 Convert -7 (base 16) to base 5. -12 Convert 44 (base 12) to base 2. 110100 What is 110101 (base 2) in base 16? 35 Convert -21 (base 15) to base 5. -111 What is -a0 (base 15) in base 9? -176 -2 (base 7) to base 16 -2 What is -18 (base 10) in base 6? -30 Convert -4 (base 6) to base 10. -4 What is -101 (base 12) in base 2? -10010001 Convert -4 (base 10) to base 12. -4 Convert -105 (base 7) to base 8. -66 What is 0 (base 3) in base 4? 0 Convert -30 (base 16) to base 10. -48 Convert -7 (base 15) to base 16. -7 1 (base 13) to base 6 1 Convert 1200 (base 3) to base 4. 231 What is b (base 15) in base 7? 14 What is 2221 (base 4) in base 9? 207 Convert -1 (base 9) to base 11. -1 Convert -40 (base 7) to base 16. -1c Convert 11001 (base 2) to base 14. 1b -2 (base 11) to base 16 -2 What is 19 (base 12) in base 5? 41 What is 7c (base 15) in base 4? 1311 1 (base 6) to base 16 1 What is -1 (base 4) in base 10? -1 Convert -44 (base 7) to base 4. -200 -1 (base 12) to base 15 -1 Convert 11 (base 3) to base 9. 4 Convert 2 (base 9) to base 5. 2 What is 2 (base 14) in base 8? 2 -38 (base 9) to base 14 -27 Convert -41 (base 10) to base 3. -1112 What is 11 (base 3) in base 13? 4 What is 12 (base 5) in base 12? 7 -4 (base 12) to base 6 -4 Convert 1011 (base 2) to base 16. b What is 5 (base 10) in base 4? 11 2b (base 15) to base 6 105 258 (base 10) to base 4 10002 -3b (base 12) to base 14 -35 Convert 3 (base 7) to base 5. 3 What is 47 (base 15) in base 4? 1003 -130 (base 4) to base 5 -103 -14 (base 6) to base 9 -11 What is 1102 (base 4) in base 6? 214 Convert 10100 (base 2) to base 11. 19 -111111 (base 2) to base 10 -63 What is 4 (base 11) in base 7? 4 Convert 14 (base 8) to base 11. 11 What is -96 (base 14) in base 5? -1012 What is -12 (base 6) in base 12?
{ "pile_set_name": "DM Mathematics" }
the closest to -2/5 in 5, -4703, 9, -3/8? -3/8 What is the nearest to 7/5218 in -10, 0.2, 0.3? 0.2 Which is the nearest to 2/737? (a) -4 (b) 1.7 (c) -0.1 (d) 0.4 c What is the closest to -0.1 in -0.1, -1, -2/13, -7, 36/13? -0.1 What is the closest to 1.6 in -1/4, 2/7, 2, -506? 2 Which is the closest to 0? (a) 181 (b) -2/3 (c) -0.1 c Which is the closest to -915? (a) 143 (b) -2 (c) 0 b Which is the closest to -1/24? (a) -40.252 (b) 0 (c) 2 b What is the nearest to 1 in -78, -0.3, -6, -29, 3/5? 3/5 What is the nearest to -1 in -19, 16, -10/9? -10/9 What is the nearest to -0.35 in 0.4, -0.03, 4/27? -0.03 What is the nearest to 1 in -4/17, -1/14, -0.19? -1/14 Which is the closest to -0.3? (a) 0.092 (b) -0.2 (c) 0.3 (d) -69 b What is the nearest to -27 in -1/4, -1, -2/19, -5, -4? -5 What is the nearest to -30 in -0.2, -165, -4, 1/8, -0.3? -4 Which is the nearest to -1? (a) -8 (b) 4 (c) -65 b Which is the closest to -2? (a) 3/2 (b) 21 (c) -152 (d) -0.4 d What is the nearest to 0.1 in 7, -3, 192/7, 1? 1 What is the nearest to -168 in -1, 5/3, 1, 5? -1 Which is the closest to -2.9? (a) -3 (b) 0 (c) -3/32 a Which is the closest to -6? (a) 1 (b) -2/5 (c) 2/13 (d) -0.5 (e) -19 d What is the closest to 0.1 in -212, 4, -0.105, -4? -0.105 Which is the nearest to 2/7? (a) -5 (b) 3 (c) 1/6 (d) 21 (e) 1/7 c What is the nearest to 2/5 in -0.06, 6, 1, 4/5? 4/5 What is the nearest to -1/4 in -0.4, 1, 56.7, 4? -0.4 Which is the nearest to -1/2? (a) -2785 (b) 0 (c) -3 b Which is the closest to 0.267? (a) -5 (b) -5.2 (c) 3 c Which is the nearest to 7? (a) -87 (b) -1 (c) 2/219 c Which is the nearest to -2/7? (a) 1/7 (b) -16/5 (c) 1.03 (d) 5 (e) 1 a What is the nearest to -19 in -4, -5, -12, 2/3? -12 What is the nearest to 0 in 2/3, 4/49, 2/27, -0.3? 2/27 Which is the nearest to 5? (a) -0.1 (b) -2/3 (c) -82 (d) 2 d What is the closest to -2 in -1/198, -4, 26? -1/198 What is the closest to 2 in -1/4, 5, 41? -1/4 Which is the closest to -1? (a) 120 (b) -0.1 (c) 5 (d) -1/9 d What is the closest to 117 in -0.2, 2, -58? 2 What is the closest to -0.04 in -2/7, -1, 1/206, 13, 0.2? 1/206 Which is the closest to -1/4? (a) 2 (b) 0 (c) -5 (d) 94 (e) 30 b What is the nearest to -2/5 in -1/4, -0.02, 3/127, -0.1? -1/4 What is the nearest to -0.2 in -1/4, -5, -55, 0.02? -1/4 What is the nearest to 50/11 in 2, 0.03, -9, 4? 4 What is the nearest to 1 in 1, -0.4, -58/5? 1 Which is the nearest to 1? (a) 2 (b) 3 (c) -9 (d) 5 (e) -0.5 a What is the nearest to 17/3 in -3, 0.4, -9, 3? 3 What is the nearest to 4/73 in 27, -0.3, -1/3? -0.3 What is the closest to 4/11 in -61, 0.5, -14? 0.5 Which is the closest to 39666? (a) -3/5 (b) 1/3 (c) 1/2 c What is the closest to 5775 in 50/11, -2/13, 1/6? 50/11 What is the closest to 0.1 in 0.008, 2/3, 2, 0.133? 0.133 Which is the closest to -1239? (a) 2/11 (b) -1/8 (c) 13 (d) 1 b Which is the closest to 2/5? (a) 2 (b) -2/9 (c) -5 (d) -6 (e) 93 b Which is the nearest to 2/5? (a) 4/3 (b) -0.2 (c) -0.5 (d) -3/2 b What is the nearest to -0.3 in -1.3, 0, -1/9, 0.1, -0.4? -0.4 Which is the nearest to 267? (a) -12 (b) 0.4 (c) -5/18 b Which is the closest to -1? (a) 0.3 (b) -1/5 (c) -0.7 (d) 783/10 c Which is the closest to -1? (a) -1 (b) 6/35 (c) -2/29 (d) -13 (e) -2 a Which is the closest to 2/7? (a) 0.1258 (b) -4 (c) -6 a What is the closest to -1/2 in 0, -3/31, -3? -3/31 Which is the nearest to -3/5? (a) 0.02 (b) 0.46 (c) 0.1 (d) 0.3 a Which is the nearest to 0.2? (a) 0 (b) 13 (c) -77 (d) -1.1 (e) 2 a Which is the closest to -2? (a) 6614 (b) 2 (c) 0 c Which is the nearest to -1/4? (a) -1 (b) 0.02 (c) -0.4 (d) 15.8 (e) -2/9 e Which is the nearest to 400/7? (a) -2 (b) -3 (c) 1 (d) 0.5 c Which is the closest to -7? (a) 0.5 (b) -1/2 (c) 0.4 (d) 4 (e) -23722 b Which is the nearest to 0.1? (a) 0.06 (b) 0.045 (c) 1/2 (d) 2 (e) 4 a Which is the nearest to -1/2? (a) 1 (b) -6.002 (c) 8 a What is the closest to -2/7 in 0.367, 1, 3? 0.367 What is the closest to 1/4 in -1, 0.5, 12, -0.3, 1/11? 1/11 Which is the nearest to -129? (a) 1/2 (b) 3.1 (c) 0.4 c Which is the closest to 5? (a) -0.12 (b) 0.3 (c) 12/11 (d) -5 (e) -1 c Which is the closest to -2? (a) 3/2 (b) 1 (c) 0.8 (d) 10 c What is the nearest to 0 in 2, -1/5, 73? -1/5 What is the closest to 1 in 75/4, 5, -0.063? -0.063 What is the closest to 2/17 in -0.4, -0.04, -96? -0.04 What is the nearest to -0.3 in -4/11, -3, -361? -4/11 Which is the closest to 963? (a) -15 (b) -1 (c) -0.1 (d) 3 (e) -3 d Which is the nearest to -1/2? (a) 2/7 (b) 30 (c) -1.43 a Which is the nearest to 1? (a) 0.5 (b) -1/4 (c) 100/47 a Which is the closest to 27? (a) -2 (b) 0 (c) -51 (d) 6 d What is the nearest to 35 in 3.1, 0.4, 55, 3? 55 What is the closest to -40 in -9, 2/9, -4, 0.3? -9 Which is the nearest to -4? (a) -4 (b) -2/13 (c) -6102 a Which is the closest to -1? (a) -0.4 (b) 1682 (c) -8 (d) -1 d What is the closest to -3/112 in 3, 15, -0.07, 4? -0.07 Which is the closest to 0.1? (a) 0.77 (b) -1/238 (c) 1/8 c Which is the nearest to -113218? (a) -0.4 (b) -6 (c) -3 b What is the nearest to 1 in 2, -13/5, -2, -2/133? 2 Which is the nearest to -0.3? (a) -33 (b) 0.3 (c) -10.3 (d) -5 b Which is the nearest to -0.02? (a) -35 (b) 0.09 (c) 3/88 c What is the nearest to -1 in -6, -7, -4, 33, 89? -4 What is the nearest to 0.2 in 144, 0, 2/31? 2/31 Which is the nearest to 2? (a) 1/5 (b) -5 (c) 0 (d) -0.3 (e) 83 a What is the nearest to 0.1 in -3/4, -2/15, 4/9, -5/2, 4? -2/15 What is the nearest to -0.1 in -86.25, 7, 4? 4 What is the closest to 5 in -1, -5.3523, 0.3? 0.3 Which is the closest to 2? (a) -2/7 (b) 107 (c) -7 a What is the closest to -4 in -4, -3, 5, 0.04, -11? -4 What is the nearest to -0.6 in -0.4, 0.3, -51, -1/4, 3? -0.4 Which is the nearest to 6? (a) 4/25 (b) 0.5 (c) -0.09 (d) -0.5 b What is the closest to 2/9 in 11, 5/2, 3, 0.3? 0.3 Which is the nearest to 1/2? (a) 1/16 (b) 36 (c) -1 a Which is the nearest to -0.229? (a) 0.9 (b) -0.3 (c) -0.2 c Which is the nearest to 1? (a) 1 (b) 92 (c) 4 (d) 10 a Which is the closest to -1? (a) -5 (b) 14 (c) 0 (d) -1.9 (e) 1/10 d Which is the closest to 5.1? (a) -84 (b) 9 (c) -4 (d) -0.3 (e) 0 b What is the nearest to 0.6 in -4, -32, -2, -1/3? -1/3 What is the closest to -0.2 in 21/11, -425, 5/2? 21/11 What is the closest to 0 in 1/4, -0.2, 0.02, 2155? 0.02 What is the nearest to 1 in 5, 4, 1/2810? 1/2810 What is the nearest to 2 in -344, -0.07, 1? 1 What is the nearest to 0 in 0, 97/5, -0.4, -2/49? 0 Which is the nearest to 0? (a) 0 (b) -2/211 (c) 0.035 a Which is the nearest to -67? (a) 0.4 (b) 45 (c) 5/2 a Which is the nearest to 22/19? (a) -0.4 (b) 2 (c) -0.3 (d) 3 b Which is the nearest to -0.0243? (a) -2 (b) -4 (c) 3 (d) -3 (e) 4 a Which is the nearest to -6? (a) 4 (b) -365 (c) 1/7 c Which is the closest to -0.403? (a) -1/7 (b) -17 (c) -3/5 c Which is the nearest to -3? (a) 1/3 (b) 4.5 (c) -3500 a Which is the closest to -1? (a) -3 (b) -0.4 (c) 3 (d) -16087 b What is the nearest to -7 in 0.4, -2.969, 3? -2.969 What is the closest to 1/4 in -4, 0.3, -0.197? 0.3 What is the closest to -1 in 19, 2/15, 2/89, 0.4, 0.09? 2/89 What is the closest to -1/3 in 0.4, 300, 0? 0 Which is the closest to -5? (a) -4 (b) 4.65 (c) 1 (d) -0.08 a Which is the nearest to -0.3? (a) 3 (b) -82 (c) -2 c Which is the closest to -8? (a) -131 (b) 0.5 (c) -0.2 (d) -0.3 d What is the nearest to -0.1 in -0.04, 2/721, -4, -3? -0.04 Which is the closest to 32/11? (a) -4 (b) 0.2 (c) -2 (d) -5 (e) 0.3 e Which is the nearest to 2/3? (a) -0.77 (b) 0.3 (c) 5.4 b What is the closest to -5 in -80/7, 0, -1/4? -1/4 Which is the closest to 0.1? (a) -3 (b) 2/9 (c) 0.1 (d) -9/4 c What is the nearest to -12598 in 3, -0.2, 0.2? -0.2 What is the closest to 7 in -2/15, -8, 0, 0.042? 0.042 What is the nearest to -1 in -33, -46/3, -5? -5 Which is the closest to 2/7? (a) 186 (b) 1/2 (c) -0.3 (d) -11 (e) -18 b What is the closest to 12 in -3, -0.171, -2/3? -0.171 Which is the nearest to -2? (a) 0.4 (b) -2 (c) -3 (d) 106 (e) -2.26 b What is the nearest to 0 in 0.04,
{ "pile_set_name": "DM Mathematics" }
5 = -301. Is t prime? False Let o(j) = -14*j - 3. Let k(n) = -42*n - 9. Let b(c) = 2*k(c) - 7*o(c). Is b(4) prime? True Suppose 22*j = 25*j - 177. Is j a prime number? True Suppose 4 = d - 0. Suppose -4*c + 624 = u + d*u, 4*c - 3*u - 656 = 0. Is c a prime number? False Let d be 3/(-12)*1*-4. Is (d/(-1))/(3/(-777)) composite? True Let m = 5 + -3. Suppose 2*z - m*b + 6*b = 594, -2*z + 578 = -4*b. Is z composite? False Suppose 5*u = 3*l - 15, -4*l - 25 = -9*l + 5*u. Suppose l*m = 82 + 703. Suppose -3*j + m + 188 = 0. Is j a prime number? False Let t(j) = j**2 + 6*j - 3. Let h be t(-7). Suppose 2*z + 188 = h*n, -3*n + 4*z + 24 + 107 = 0. Is n prime? False Suppose -3*x = x - 3804. Is x a prime number? False Suppose 5*r - 8 - 17 = 0. Suppose -5*v - 539 - 327 = -3*t, r*v - 1390 = -5*t. Let k = t - 141. Is k composite? True Let x be ((-1)/2)/(2/(-24)). Let s = 9 - x. Suppose -107 = -s*t + 34. Is t a composite number? False Suppose 44*t - 970 = 39*t. Is t composite? True Let p(u) = -u**2 + 7*u + 10. Let d be p(13). Let h = d - -121. Is h composite? False Suppose -5*t = 5*u - 5355, -2*u - t = -3*u + 1067. Is u a prime number? True Let c(p) = -p**3 + 8*p**2. Let t be c(8). Suppose 562 = 5*l - r + 75, -l - r + 95 = t. Is l a prime number? True Suppose 3*n - 2 = -11. Is (270/n)/(-1) - -1 composite? True Suppose 4*s = -n + 871, 5*n = -0*n - 4*s + 4275. Is n prime? False Let f(u) = 3*u**3 - u**2 + 1. Let h(q) = -7*q**3 + 2*q**2 - 1. Let g(b) = 5*f(b) + 2*h(b). Suppose -4 = -3*j - j, 3*x = -2*j + 11. Is g(x) a composite number? True Let i be ((-40)/(-12))/5*2370. Suppose o = 2*b - 1053, 3*b + o = 6*b - i. Is b a composite number? True Suppose 2 = 2*f, -2*l + 5*f + 1000 = 3*l. Let w = l + -110. Is w a composite number? True Suppose -4*u - 1965 = -3*f, -u + 665 = f + u. Is f a composite number? False Let m(j) = j + 2. Suppose -3*c = 2*c + 55. Let k be m(c). Is (37/(-3))/(1/k) composite? True Is (-4)/(72/(-40802)) - (-12)/54 a prime number? True Let h = -4772 + 9633. Is h composite? False Let n = -7 + 8. Let j be (n - -1) + (-4)/(-2). Suppose 42 = -r + j*r. Is r a composite number? True Let m be (5/4)/(2/64). Suppose -112 = -4*z + m. Is z composite? True Let s(o) = -o. Let z(q) = 36*q - 1. Let n(b) = -2*s(b) - z(b). Let c be n(-2). Suppose c = 4*f - 79. Is f a composite number? False Let j = -405 + 712. Is j a composite number? False Suppose -c + 17 = 3*j, 0 = 3*j - j - 10. Suppose -c + 5 = u, 5*n - 516 = 3*u. Suppose 0 = 2*i - 133 - n. Is i a composite number? True Let f = 9 - 6. Let d be 2*(0 + 3/f). Suppose -2*h + 412 = -d*c, 0*h + h + c = 216. Is h composite? False Let f = -4 - 2. Let u be (-1 + -1)/((-2)/8). Let b = u + f. Is b a prime number? True Let m(i) = -2*i - 3. Let z be m(-3). Suppose w - 157 = 3*u + u, -u = -z*w + 449. Is w a prime number? True Let f be -23*(-5 - -1*2). Let h = f - -16. Is h a prime number? False Let d(l) = l**2 + 1285. Is d(0) composite? True Suppose 3*t = -2*h - 757, -693 = 2*h + 4*t + 65. Let p = h - -628. Is p prime? True Let w(h) = -h**2 + 10*h - 4. Let a be w(6). Is 927/5 - 8/a a prime number? False Let w be ((-15)/(-6) + -2)*4. Let m(a) = 12*a - a**2 - 3 + a**3 - 3 - 6*a**w - 5. Is m(9) a prime number? False Suppose 3*b + b + 8 = 0. Is b*97*2/(-4) a prime number? True Let a be 0/((2 - 0) + -3). Is 54 + (-1 - a/3) a composite number? False Suppose 5*y + 5 = -0. Is y + (-1 + 0)*-14 prime? True Let f = 183 + -86. Is f a composite number? False Suppose 273 = h - 280. Is h a prime number? False Suppose 3*r + 2*r = 0. Suppose r = -2*c - 2*x - 2*x + 130, -364 = -5*c + 3*x. Is c composite? False Suppose -3*b = -p + 25, 2*b = -4*p - 2*b + 132. Is p composite? False Suppose -9*d + 10*d - 907 = 0. Is d composite? False Suppose -25*s + 26*s = 479. Is s prime? True Suppose 4*u + 1096 = 8556. Is u a composite number? True Let a(d) = d - 2. Let o be a(-4). Let k = -4 - o. Is 65/k - (-12)/8 composite? True Let r = 0 - -12. Let c = r - 8. Let x(t) = 21*t + 5. Is x(c) a prime number? True Let g be 4/12*(2 + 37). Suppose -43 = -4*h + g. Is h a prime number? False Suppose -2*y = -n + 20, y + 0 = 2. Is (-16)/n + (-766)/(-6) a composite number? False Suppose 0 = 5*q - 3*q - 4. Suppose -10 = 2*l, -q*z - 2*l = -4*z + 52. Is z a prime number? False Let f = -7 + 17. Suppose -3*r + f = -r. Suppose j + r*b - 26 = 0, 0*j - 3*j + 158 = -b. Is j composite? True Suppose 5*z + 3*k - 17323 = z, -4*z + 17317 = 5*k. Is z prime? False Suppose -2*p - 4*z = p + 5420, -2*p - 2*z - 3616 = 0. Is (-2)/(-5) + p/(-20) a prime number? False Suppose 7*f + 2195 = 12*f. Is f prime? True Let u(r) = -2*r + 17. Let h be u(9). Let k = 9 - h. Is k a composite number? True Suppose 334 = 2*n - j, 0 = 5*n + j - 2*j - 835. Is n a prime number? True Suppose -x = -2*x + 2*r - 20, -3*x = 5*r + 38. Let v = x - -37. Is v a prime number? False Let h(u) = -u + 7. Let l be h(3). Is 222/3*2/l composite? False Suppose -1950 = -w - 4*w. Let y = w + -167. Suppose -5*p + 6*p - y = 0. Is p a prime number? True Let z be 3/2 - (-3)/6. Suppose -z*p = g + 4*g - 1542, 2*p - 1542 = g. Suppose p = y + 2*y. Is y prime? True Is 74*6 + (8 - 9) a prime number? True Let z be 1/(-2)*-2 + 1. Let l(r) = -3*r**2 + 3*r**2 + 10*r**z + 13 + 9*r + r**3. Is l(-9) a prime number? True Suppose -16 = -4*a - 4*y, 2*a - 5*y + 1 - 16 = 0. Let m be 5/a*6/(-2). Is (m + 3)*1 + 23 prime? True Let i = 721 + -390. Is i prime? True Let v = 12 - 7. Let o(w) = v*w**2 - 5 - 4*w**2 - 1 + w. Is o(-5) a prime number? False Let i(l) = -58*l**3 + l**2 + 5*l + 4. Let k(g) = -57*g**3 + g**2 + 4*g + 3. Let c(y) = 4*i(y) - 5*k(y). Let b be c(-1). Let r = b + 100. Is r prime? True Let n(a) = a + 1. Let m be n(4). Suppose -h = v + v + 1, 0 = -v - m. Suppose -4*p - 95 = -h*p. Is p a prime number? True Let g(y) = 152*y + 1. Let i be g(1). Suppose -57 = 2*p - i. Suppose -3*l + p + 63 = 0. Is l composite? False Let a = 3 + -3. Let s(i) = -29*i - 5. Let w be s(-4). Suppose a*y - 3*y + w = 0. Is y composite? False Is (2 - (-20)/(-6))*399/(-14) a prime number? False Let i = 6 - -49. Is i prime? False Let b = 439 - 33. Suppose 0*o = 2*o - b. Is o a composite number? True Let y(u) = -u**2 - 6*u + 9. Is y(-5) a composite number? True Is 3 + 129 + -4 - 1 a composite number? False Suppose n + 5 = -75. Let z = -41 - n. Is z a prime number? False Is 16/(-104)*-532 + 4/26 composite? True Let h be 476*(15/(-4))/5. Let s = h + 201. Let n = 251 + s. Is n composite? True Let b be ((-3)/(-2))/((-18)/(-24)). Suppose b*z + m - 33 = -4*m, 2*z = 3*m - 7. Suppose 0*q + 2*y = -2*q + 222, z*q - y = 454. Is q composite? False Let z be 1646/30 + (-6)/(-45). Suppose 0 = -g + z + 102. Is g composite? False Suppose 3*n = -50 + 146. Suppose -2*i + n = -2*r - 82, 2*i - r - 110 = 0. Is i a composite number? False Let y(c) = -6*c + 22. Let d be y(18). Let k = -333 + 466. Let a = k + d. Is a a prime number? True Let g(r) = 6*r - 4. Let n be g(2). Suppose -n*a + 3365 = -3*a. Is a prime? True Let d = 22 + -43. Let a be (4 + -1)*(-14)/d. Is (a + 201/(-15))*-5 a prime number? False Suppose 5*k = 6 - 16. Suppose 2*f + 2*u - 16 = -0*u, 5*u = 5*f. Is k/f*(-1 + -61) a prime number? True Suppose -3*x + 1297 = 319. Suppose 2*p - x = -0*p. Is p prime? True Let p(i) = 4*i**2 - 3*i + 1. Let c be p(-4). Let o = -123 - -251. Let n = o - c. Is n a prime number? False Let w = -3 - -4. Let f(d) = -2 - w - d**2 + 2*d + 2*d**2. Is f(4) a prime number? False Suppose 0 = -15*t + 7964 + 8521. Is t a prime number? False Let w(p) = 226*p + 3. Is w(4) composite? False Suppose 3*o + 1 = -2, -2*r - o + 9 = 0. Let w = -18 - -79. Suppose -r*x + 94 = -w. Is x a prime number? True Let b = 11 - 15. Let t = 58 - b. Is t a prime number? False Let j = 404 + -147. Is j prime? True Suppose 2*v + 2*o = 5*v - 7, -36 = -4*v - 4*o. Let y(w) be the second derivative of 4*w**3/3 - w**2/2 - 2*w. Is y(v) prime? False Let a(m) = m**2 + m - 21. Is a(18) a composite number? True Is -2 - (-6 + 2) - (0 - 1809) a composite number? False Let i(d) = 4*d**3 - d**2 + 3*d + 5. Is i(4) a composite number? False Let v = 68 - -2. Suppose -4*q = 3*x - 7*q, -q + 4 = x. Suppose -4*n + 2*l + v = 0, -12 = -x*l - 2*l. Is n composite? False Let q(y) = -417*y**3 + 3*y**2 + 2*y - 2. Let p(i) = 1250*i**3 - 8*i**2 - 6*i + 5. Let k(m) = -3*p(m)
{ "pile_set_name": "DM Mathematics" }
, 337, 4751 What are the prime factors of 3260709672? 2, 3, 11, 53, 4397 What are the prime factors of 51590144? 2, 83, 607 List the prime factors of 231429340. 2, 5, 11571467 What are the prime factors of 3342073969? 13, 257082613 List the prime factors of 686614618. 2, 41, 227, 36887 What are the prime factors of 49492372? 2, 17, 449, 1621 List the prime factors of 2392655697. 3, 265850633 List the prime factors of 92984964. 2, 3, 743, 10429 What are the prime factors of 96553164? 2, 3, 67, 120091 List the prime factors of 2842822381. 7, 181, 2243743 What are the prime factors of 174662042? 2, 87331021 List the prime factors of 149069898. 2, 3, 1093, 7577 What are the prime factors of 6274081? 11, 67, 8513 What are the prime factors of 2384986713? 3, 794995571 What are the prime factors of 727003194? 2, 3, 19, 6377221 List the prime factors of 27216484. 2, 6804121 What are the prime factors of 41669734? 2, 601, 34667 List the prime factors of 538968869. 538968869 What are the prime factors of 49226495? 5, 9845299 What are the prime factors of 976684205? 5, 7, 47, 677, 877 List the prime factors of 2017118191. 11, 929, 197389 What are the prime factors of 2414574690? 2, 3, 5, 11, 7316893 What are the prime factors of 114836137? 13, 113, 78173 List the prime factors of 272095986. 2, 3, 45349331 List the prime factors of 1148283357. 3, 13, 73, 403331 What are the prime factors of 90842778? 2, 3, 13, 23, 16879 List the prime factors of 270200679. 3, 7, 179, 71881 What are the prime factors of 25845350? 2, 5, 516907 List the prime factors of 93729708. 2, 3, 79, 32957 What are the prime factors of 73725195? 3, 5, 4915013 What are the prime factors of 151146590? 2, 5, 7, 2159237 List the prime factors of 2565570575. 5, 102622823 List the prime factors of 1593750338. 2, 151, 1319, 4001 What are the prime factors of 345484617? 3, 79, 1457741 What are the prime factors of 18893298? 2, 3, 3148883 List the prime factors of 78876431. 31, 499, 5099 What are the prime factors of 277126322? 2, 11, 12596651 List the prime factors of 38376966. 2, 3, 1847, 3463 List the prime factors of 1232003182. 2, 353, 463, 3769 List the prime factors of 104779377. 3, 773, 15061 List the prime factors of 146886168. 2, 3, 11, 13, 127, 337 What are the prime factors of 4449354764? 2, 1112338691 List the prime factors of 457187541. 3, 139, 1096373 What are the prime factors of 10295705? 5, 7, 43, 6841 What are the prime factors of 1765504498? 2, 31, 28475879 List the prime factors of 40798978. 2, 11, 283, 6553 What are the prime factors of 69919014? 2, 3, 11, 991, 1069 List the prime factors of 173135494. 2, 7, 97, 127493 What are the prime factors of 3275886? 2, 3, 109, 5009 What are the prime factors of 2295845293? 7, 43, 7627393 What are the prime factors of 36809591? 7, 13, 23, 43, 409 List the prime factors of 33493965. 3, 5, 2232931 List the prime factors of 4452173144. 2, 71, 7838333 List the prime factors of 5917777971. 3, 7, 599, 9601 List the prime factors of 5475125234. 2, 19, 144082243 What are the prime factors of 3439668953? 7, 31, 2593, 6113 What are the prime factors of 4917355452? 2, 3, 15177023 What are the prime factors of 320708269? 7, 45815467 List the prime factors of 445569813. 3, 13, 17, 83, 2699 List the prime factors of 724222224. 2, 3, 11, 107, 4273 List the prime factors of 2532350159. 9601, 263759 List the prime factors of 2602000467. 3, 11, 17, 19, 81371 What are the prime factors of 4593348? 2, 3, 14177 What are the prime factors of 16469267? 16469267 List the prime factors of 2108770563. 3, 37, 199, 95467 What are the prime factors of 354492905? 5, 13, 23, 31, 7649 List the prime factors of 2511102959. 2511102959 List the prime factors of 5462800250. 2, 5, 37, 590573 What are the prime factors of 109605888? 2, 3, 7, 1699 List the prime factors of 1966603178. 2, 23, 131, 326353 What are the prime factors of 194557380? 2, 3, 5, 3242623 List the prime factors of 595590910. 2, 5, 19, 31, 101119 List the prime factors of 2904572508. 2, 3, 4561, 53069 What are the prime factors of 993951910? 2, 5, 7, 1361, 10433 What are the prime factors of 1704428253? 3, 11, 17216447 List the prime factors of 517282. 2, 47, 5503 What are the prime factors of 110649441? 3, 7, 5269021 List the prime factors of 5125550347. 5125550347 What are the prime factors of 5385181935? 3, 5, 7, 23, 2229889 What are the prime factors of 146616952? 2, 18327119 List the prime factors of 12229254. 2, 3, 679403 What are the prime factors of 1756484646? 2, 3, 7, 37, 1130299 What are the prime factors of 57200924? 2, 11, 1300021 What are the prime factors of 3752160853? 7, 29, 79, 233969 List the prime factors of 897095676. 2, 3, 191, 391403 What are the prime factors of 18734448? 2, 3, 607, 643 What are the prime factors of 628054743? 3, 209351581 List the prime factors of 4776395733. 3, 530710637 List the prime factors of 165362408. 2, 29, 71, 10039 List the prime factors of 106619527. 7, 15231361 List the prime factors of 4627011322. 2, 1459, 1585679 List the prime factors of 631709366. 2, 67, 4714249 What are the prime factors of 126088085? 5, 19, 29, 45767 List the prime factors of 31352113. 13, 73, 33037 List the prime factors of 12731691. 3, 7, 17, 19, 1877 What are the prime factors of 1728143809? 7, 41, 193, 4457 What are the prime factors of 223602863? 11, 263, 77291 List the prime factors of 2770751807. 677, 4092691 List the prime factors of 43822716. 2, 3, 7, 31, 16829 What are the prime factors of 2411046566? 2, 3929, 306827 What are the prime factors of 149635143? 3, 7, 131, 18131 List the prime factors of 30283387. 23, 1316669 List the prime factors of 1505907278. 2, 752953639 List the prime factors of 1787142554. 2, 83, 10765919 What are the prime factors of 378520872? 2, 3, 59, 267317 What are the prime factors of 37317495? 3, 5, 2487833 What are the prime factors of 36205668? 2, 3, 127, 7919 List the prime factors of 3929721494. 2, 131, 281, 53377 What are the prime factors of 4129961161? 461, 8958701 List the prime factors of 137279724. 2, 3, 11439977 What are the prime factors of 242796048? 2, 3, 11, 459841 What are the prime factors of 20692314? 2, 3, 31, 47, 263 What are the prime factors of 6248796219? 3, 231436897 List the prime factors of 749366081. 83, 9028507 What are the prime factors of 114271242? 2, 3, 19045207 List the prime factors of 28749537. 3, 3194393 What are the prime factors of 4800943444? 2, 11, 79, 317, 4357 List the prime factors of 1241495372. 2, 13, 659, 36229 List the prime factors of 2041819. 13, 17, 9239 List the prime factors of 1002468377. 1002468377 What are the prime factors of 976030211? 13, 43, 1746029 List the prime factors of 263492393. 23, 11456191 List the prime factors of 53723108. 2, 19, 706883 List the prime factors of 175430561. 127, 179, 7717 List the prime factors of 32121822. 2, 3, 5353637 What are the prime factors of 1379818493? 1379818493 What are the prime factors of 437361135? 3, 5, 29157409 List the prime factors of 4147191318. 2, 3, 23, 30052111 What are the prime factors of 763037629? 763037629 List the prime factors of 50086913. 17, 47, 62687 List the prime factors of 2325347710. 2, 5, 7, 33219253 List the prime factors of 46825824. 2, 3, 487769 What are the prime factors of 130761139? 130761139 List the prime factors of 179121782. 2, 7, 31, 71, 5813 List the prime factors of 4190350. 2, 5, 43, 1949 What are the prime factors of 78859156? 2, 19714789 What are the prime factors of 2101709585? 5, 420341917 List the prime factors of 71250538. 2, 41, 868909 What are the prime factors of 2607675520? 2, 5, 19, 131, 1637 List the prime factors of 1080120076. 2, 7, 38575717 List the prime factors of 290922590. 2, 5, 7, 4156037 What are the prime factors of 81736177? 97, 113, 7457 What are the prime factors of 64010396? 2, 107, 347, 431 What are the prime factors of 454623496? 2, 56827937 List the prime factors of 63467216. 2, 3966701 List the prime factors of 2558540657. 2558540657 What are the prime factors of 928043018? 2, 7, 66288787 List the prime factors of 150012534. 2, 3, 7, 29, 31, 137 What are the prime factors of 1168298877? 3, 487, 799657 What are the prime factors of 181148070? 2, 3, 5, 1187, 5087 List th
{ "pile_set_name": "DM Mathematics" }
uppose 3*r + 12 = k, 13 = -5*r - 2*k + 6*k. Let f = -3818 + 3817.6. Put r, -2, f in descending order. f, -2, r Suppose 2*w - 3*w = -4*v - 28, 4*w + v = 61. Let s = w + -20. Let z(q) = q**2 - 24*q - 35. Let j be z(25). Put s, -5, j in decreasing order. s, -5, j Let x = -4902 + 4902. Let a = -4 + 18. Let b = a - 2. Put 2/5, x, b in ascending order. x, 2/5, b Let z = 5394 + -5392. Sort 1/9, 5, z. 1/9, z, 5 Let c be (-66)/(-99)*1*(1 + (-15)/6). Sort 0, 5, -93, 1, c in descending order. 5, 1, 0, c, -93 Let j = 32 - 32.1. Let n = j + 0.1. Sort -5, n, -2, 53 in descending order. 53, n, -2, -5 Let g(x) = -x**2 - 7*x - 7. Let k be g(-6). Let o = 71.1 - 54.1. Sort 5, k, o, -2. -2, k, 5, o Suppose 12 = -5*a - 3*z, -549*a + 550*a - 4*z = -7. Let y be 1 - (-4 + 2) - 1. Sort y, a, 7, 3. a, y, 3, 7 Let v(c) = c + 2. Let j(p) = 6*p + 45. Let u(h) = -j(h) + 2*v(h). Let q be u(-11). Sort -207, -2, q. -207, -2, q Suppose -148 = -3*h + h. Let t = h + -372/5. Let p be 50/(-20) - (-7)/4. Put 3, p, t in descending order. 3, t, p Let o = 17 + -1. Let a = 15.7 - o. Let p(y) = y**2 - 16*y - 14. Let w be p(17). Sort a, 2/15, -1, w in descending order. w, 2/15, a, -1 Suppose -5*d - z + 19 = -6, -36 = -4*d - 4*z. Let r = -2406 - -2404. Put -4, r, d, -1 in increasing order. -4, r, -1, d Let z be 20/55*297/18. Sort z, -2.9, -0.5, -2/9. -2.9, -0.5, -2/9, z Let n be (28/(-98))/((-44)/28 - -1). Let p = -0.23 - -0.33. Sort p, 2/7, 1, n in increasing order. p, 2/7, n, 1 Let v = 2/1145 + 2164/72135. Let a = -37.88 - -37.78. Put 1/2, a, v in increasing order. a, v, 1/2 Let b be ((-3)/(-4))/((-54)/(-12)). Let z be 2/(-14) - (-135)/(-35). Suppose -28*f - 51 = -11*f. Sort f, z, b in descending order. b, f, z Let y = -0.5 - -0.5. Let w be (-3027)/(-60) - (2 + (-21)/12). Let o = w + -50. Sort 4, o, y in decreasing order. 4, o, y Let k = -6620 - -6619. Sort 46.9, -2/5, 0.5, 3, k in decreasing order. 46.9, 3, 0.5, -2/5, k Suppose 2*f = 3*f + 6. Let u = 1628 - 1625. Suppose -17 = 15*l + 13. Sort u, l, 2, f in ascending order. f, l, 2, u Let m(r) = r**2 - 5*r + 5. Let l be m(4). Let q = 175.069 - 171.069. Sort -4, -4/3, l, q in decreasing order. q, l, -4/3, -4 Let m = 17318 - 17317.4. Put 0.08, -1, m in decreasing order. m, 0.08, -1 Let k = 184009/5860 - 1/1172. Let p = k - 156/5. Sort 1/7, 2/9, p, 0. 0, 1/7, p, 2/9 Suppose 4*u + 87 = 33*u. Sort 49, u, -2, 2, -4 in decreasing order. 49, u, 2, -2, -4 Let b(a) = -a**3 + 9*a**2 - 8*a - 3. Let l(i) = 5*i - 107. Let g be l(23). Let q be b(g). Sort 5, q, 3 in ascending order. q, 3, 5 Let c(h) = 16*h**3 - 160*h**2 + 24*h - 248. Let s be c(10). Let i = -8 + 6. Put -4, i, -3, s in descending order. i, -3, -4, s Let p = 15 - 21. Let t be (-6 - 0)/(p/4). Let c = 22881/8 + -2860. Sort t, c, 5. c, t, 5 Let t be (-7)/42 + (-38)/(-12). Suppose -t*k - 9 = 3*c, 6*c = c - 4*k - 16. Sort -5/6, -5, c, -1/8 in decreasing order. -1/8, -5/6, c, -5 Let p be 17*(3 - 1)/2. Suppose 5*u = -4*b + 52, b = -5*u + p + 26. Suppose k = 3*c + 4, 2*k + c - 3*c = u. Put -2, -1, k, -3 in decreasing order. k, -1, -2, -3 Suppose 0 = c - 6*c. Let z(b) = 13*b**3 - 2*b**2 + 3. Let l be z(2). Let s = -101 + l. Put -5, s, -4, c in ascending order. -5, -4, s, c Let k(z) = -z**3 + 5*z**2 + 34*z - 163. Let m be k(6). Sort -6.1, -2, m in descending order. m, -2, -6.1 Let m = -7.44 + 6.8. Let c = m + 116.64. Let g = 115.9 - c. Sort g, -6, -5. -6, -5, g Suppose 0*l - 9 = -3*l. Suppose -92 = -4*p - 2*d - 2*d, -5*p = -l*d - 99. Let w be (p + -25)/(7 + 0). Put w, 0.5, -0.1 in decreasing order. 0.5, -0.1, w Let r = -35 - -44. Let g(y) = -y**2 + 5*y + 22. Let k be g(r). Let s be (-6)/14 + 8/k. Sort s, -2, -5. -5, -2, s Let p be 26/(-273) + (-4)/126*-3. Put -4, p, -34, -1 in ascending order. -34, -4, -1, p Let i = 75 + -78. Let j = -6953/2607 - -1/2607. Put i, j, -7 in ascending order. -7, i, j Suppose y - 28 = 5*i, -3*y + 3*i + 122 = 7*i. Let w = -151/4 + y. Let z = 13.1 - 13.01. Sort z, -1/6, w, -2/13 in ascending order. -1/6, -2/13, z, w Let q = 1092 - 1089. Sort -2/3, -345, q in descending order. q, -2/3, -345 Let y(o) = 5*o**2 + 58*o + 29. Let l be y(-11). Let c be 36/54 - (l + -1 + 2). Sort c, 2/15, 2, 5 in descending order. 5, c, 2, 2/15 Suppose 3*m - 42 = -3*b, -5*b - 3 - 31 = -3*m. Put 0, m, 1, 8 in decreasing order. m, 8, 1, 0 Let f be ((-12)/(-5))/((-30)/(-100)). Let l(z) = 1 - 7*z - 3*z**2 + 12*z**2 - f*z**2. Let j be l(7). Sort -7, j, -2 in ascending order. -7, -2, j Let m = 0.3 - 0.1. Let o = -1.93001 - 0.06999. Sort -1/3, o, m in decreasing order. m, -1/3, o Let p be -2 - (46/(-12) + 2). Let j = -6054/7 + 36359/42. Sort 4/9, -0.01, p, j. p, -0.01, 4/9, j Let b(v) = v - 11. Let t be b(13). Suppose -t*w + 13 = 2*j - 9, 4*j = w + 19. Suppose j*f + 0*f - 24 = 0. Sort 5, 3, -1, f in increasing order. -1, 3, f, 5 Let i = 4689 + -4665. Put i, 1, -39 in decreasing order. i, 1, -39 Let z(x) = -6*x + 162. Let r be z(36). Sort r, -2, 4, -4. r, -4, -2, 4 Suppose 4*o = 4*s - 3 - 21, 12 = -3*s - 3*o. Let f(q) = 2*q**2 + q - 2. Let h be f(-2). Let x(y) = -y + 4. Let r be x(h). Put s, -3, r in decreasing order. s, r, -3 Let n be (-114)/8 - 9/(-36). Let f = n - -6. Let a(v) = -v**2 + 20*v - 103. Let l be a(11). Put f, 4, l in descending order. 4, l, f Suppose -5*z + 13*f - 9*f - 15 = 0, 6 = -2*z + 3*f. Put -1, -4, 1, -9, z in descending order. 1, -1, z, -4, -9 Suppose b = -3*r, 3*b - 84 = 5*r - 98. Put 0.19, b, -5/4 in descending order. 0.19, -5/4, b Suppose -15 = -5*u + 2*d + 5, 28 = 7*u + 2*d. Sort u, -2, 3, 262 in increasing order. -2, 3, u, 262 Let v = 1.64 - 0.34. Let x = v + -11.3. Let z be ((-3)/10)/(((-54)/(-8))/(-9)). Put x, -2/5, z in descending order. z, -2/5, x Suppose 12*v - 1722 = -111*v. Sort -4, v, -5, -3 in decreasing order. v, -3, -4, -5 Let d = 204 - 202. Suppose -8*o = -d*o - 6. Sort -5, -4, o, 8 in ascending order. -5, -4, o, 8 Let q = 31223 - 31222.8. Put q, -3/35, 0.3, -1 in decreasing order. 0.3, q, -3/35, -1 Suppose 0 = -101*d - 57*d. Put -2, -5, 6, d, -6 in increasing order. -6, -5, -2, d, 6 Suppose 2*h - 7*g + 3*g + 166 = 0, 3*h - 4*g = -249. Let p = h + 93. Sort p, 2, 5. 2, 5, p Suppose 0 = 53*f - 54*f + 4*b - 69, 5*f - 5*b + 420 = 0. Put f, 2, -4, -9 in descending order. 2, -4, -9, f Suppose 8*f + 54 = -74. Let d be ((-31)/2)/(f/(-32)). Sort -4, d, 4. d, -4, 4 Let f(v) = -v**3 - v**2 + 5*v + 15. Let l(h) = -h - 25. Let w be l(-28). Let x be 55/11 - 3*w. Let n be f(x). Sort -3, 5, n in descending order. n, 5, -3 Suppose -4*c = -3*f + 55, -40 = -2*f - 0*c + c. Let g be 8/(-56) - (-3)/f. Suppose 3*o = -7*v + 2*v + 11, v - 1 = g. Sort o, 3, -5. -5, o, 3 Suppose -a = 5*r - 13, -125*a + 121*a - 3*r + 18 = 0. Sort -4, -1, -11, a, 5 in descending order. 5, a, -1, -4, -11 Let x be -9 - (55/11 + 2*33/(-6)). Put 3, x, 1, 0, 24 in descending order. 24, 3, 1, 0, x Let z be (8/(-14))/((-18)/(-24)) - (-57)/133. Let m = 0.3 + 0.1. Put 6, m, z, -2 in ascending order. -2, z, m, 6 Let p = -1471/10052 + 5/1436. Put -5, p, 27/7, -3 in increasing order. -5, -3, p, 27/7 Let i be (-198)/11*(102/27 - 4). Put 0.2, -2/15, -12, i in descending order. i, 0.2, -2/15, -12 Let s(m) = -5*m**2 + 17*m - 31. Let i be s(10). Let v = -1445/4 - i. Let c = 3 + -3.01. Sort c, 2, v in ascending order. v, c, 2 Let m(u) = -u**3 + u**2 - 20*u + 80. Let w be m(3). Sort w, 5, 4, -33. -33, w, 4, 5 Let v = 57 - 0. Let i = -58 + v. Sort 0.1, i, -59, 1 in descending order. 1, 0.1, i, -59 Suppose -t = -2*u + 31, -3*u + 2*u + 4*t = -19. Suppose -8*h + 17 = -u. Suppose 0*m = -5*m + 15. Put -4, m, 2, h in decreasing order. h, m, 2, -4 Let z = -0.47861 + 0.17861. Sort -0.1, -2/31, z, 2 in decreasing order. 2, -2/31, -0.1, z Let p = -163 - -168. Let c = 32 - 30. Sort p, c, 0.6, 4 in decreasing order. p, 4, c, 0.6 Let x = 74 - 129. Let g = x - -52. Let q be ((-1)/(-3))/((-11)/(-6)). Sort 4, g, q. g, q, 4 Let z = -1.867 - -1.967. Put z, 0, -232 in descending order. z, 0, -232 Suppose -m + 4 = -t, 2*t - 4*m = -t - 13. Let p = -0.36992 + -0.63008. Put p, t, 8, 0 in increasing order. t, p, 0, 8 Let t be (-4)/(0 - -32) + 80606/(-656). Sort -2, -9, t in increasing order. t, -9, -2 Let x = -0.854 + -0.146. Put -2/7, -6, -3, x, -11 in descending order. -2/7, x, -3, -6, -11 Let z = 0.18 - 38.18. Let u = -86 - -43. Let l = z - u.
{ "pile_set_name": "DM Mathematics" }
- 2*m + 4*m - 4*m + 2*m + 3*m + (10 - 10 - 9*m)*(2 - 4 + 4)*(4 - 4 - 2) as f + d*m and give d. 41 Rearrange (2 - 4 + 4)*(-2*y**2 + 2*y**2 - 2*y**2) + y**2 + 5*y**2 - 5*y**2 + 21*y**2 - 52*y**2 + 28*y**2 to the form j + d*y + z*y**2 and give z. -6 Rearrange 136*c**2 + 278*c**2 - 104*c**2 to z*c**2 + t*c + u and give z. 310 Express 107 + 107 - 214 + 258*i as f*i + a and give f. 258 Rearrange 2*m + 23*m**2 - 2*m**3 + 0*m + 15*m**2 + 1 - 29*m**2 to u*m**2 + f*m + n*m**3 + y and give f. 2 Rearrange -2*o + 0*o + 5 - 34 - 11 + 12*o to p*o + a and give p. 10 Express -3*s**4 + 8*s**4 - 2*s**4 + 11*s**2 - s - 49*s**2 - s**3 as q*s**2 + f + w*s**3 + y*s**4 + c*s and give w. -1 Express -15*v**3 + v**2 - 10 + 12 + 0*v**2 + 0*v**2 in the form f*v + t*v**3 + d*v**2 + s and give d. 1 Express -263*j**3 + 2 - 175*j**3 + 305*j**3 - j in the form r*j + y*j**2 + c + i*j**3 and give c. 2 Rearrange 31121*f - 31128*f - 2*f**2 + 0*f**3 - f**3 - f**3 - 9*f**4 to j + l*f**3 + m*f**2 + o*f**4 + a*f and give m. -2 Rearrange 0 + 11 - 437*q + 9 + 461*q to a + j*q and give a. 20 Rearrange -3 + 41 - 10*k**2 + 11*k**2 + 11 to u*k + o + q*k**2 and give q. 1 Express -j - 10*j**3 + 4*j**3 + 4*j**3 + 2*j**2 + j**4 - 44 in the form s + c*j + n*j**2 + u*j**4 + x*j**3 and give s. -44 Express (2*v + 1 - 1)*(6 + 884*v + 7*v + 686*v - 6) as d + s*v**2 + p*v and give s. 3154 Express 3*d - 14*d + 71 + 5*d + 10*d as r*d + l and give l. 71 Express -2 + 65*t + 42*t**2 + 2 - 38*t - 25*t as y*t**2 + v*t + w and give v. 2 Express 503*o - 894*o - 342*o - 744*o as i*o + c and give i. -1477 Express (f**4 - f**4 - f**4)*(1890 - 980 + 1776 + 2568) as s*f**3 + j*f**4 + y*f**2 + a + d*f and give j. -5254 Rearrange 4*x + 238 - 34*x**2 - 238 + (-x**2 + 0*x**2 + 2*x**2)*(2 - 2 + 1) + 0*x**2 - x**2 + 2*x**2 to the form j*x + o + u*x**2 and give u. -32 Rearrange 196*i - 188*i + 488*i to the form n*i + r and give n. 496 Rearrange (-3*g + 2*g + 4*g)*(4 - 3 - 3)*(-9 - 5 - 5) to a + d*g and give d. 114 Express (4*l - 4*l + 2*l)*(3 + 3 - 5)*(159*l - 545*l - 268*l) in the form d*l + u + j*l**2 and give j. -1308 Express ((2 + 3 - 7)*(74*k - 11*k + 26*k) + 4 - 4 + k)*(-k + 2*k**2 + k) + (k + k - k)*(-3*k**2 + k**2 + 0*k**2) as v*k + r*k**2 + z + d*k**3 and give d. -356 Rearrange (3 - 2 + 1)*(4*z**2 - z**2 + 5*z**2)*(-7*z**2 - 3*z**2 + z**2) to the form l + h*z**2 + v*z**3 + m*z + a*z**4 and give a. -144 Express 7*l**2 + 9*l**2 + 3*l**3 - 3*l**2 + 16*l**2 - 4*l**3 as b + o*l**3 + r*l**2 + u*l and give o. -1 Express (-2 + 1 + 0)*(-4*r + 4*r + r) + (2 + 3 + 10)*(7*r - 4*r + 2*r) in the form h*r + k and give h. 74 Rearrange (-74 + 18 + 11 + 17)*(19*n + 14*n - 21*n) to v + i*n and give i. -336 Rearrange (292 + 1548*x + 279 - 571)*(-4*x**3 + 2*x**3 + 0*x**3) to the form j*x + u*x**2 + o*x**3 + k*x**4 + w and give k. -3096 Rearrange -639 - 92*c**2 + 639 + (2*c - 1 + 1)*(-1 - 3*c + 1) to s + d*c**2 + i*c and give d. -98 Rearrange (0 + 2 - 1)*(-5 - 1 + 5)*(380*i**4 + 458*i**4 - 1199*i**4)*(-1 + 3 - 1) to y*i**2 + s*i + q + h*i**4 + c*i**3 and give h. 361 Express -21 + 3*l + 0*l + 53 + 3*l - 36 in the form q*l + k and give k. -4 Rearrange -14 + 23 + 15 + w + 2*w**2 to the form q*w + d + p*w**2 and give p. 2 Express -4*u**2 - 32 + 2*u**2 - 4*u**2 - 8*u**2 + 9 in the form b*u + y + p*u**2 and give y. -23 Rearrange (1 - 1 + 3)*(3 + 0 - 5)*(-14*c - 23*c - 6*c) to the form v + a*c and give a. 258 Express 43*u + 2*u**4 - 2 + 6*u**2 - 17*u**2 - 8*u + 10*u**2 in the form l*u**4 + w*u + q*u**2 + f + t*u**3 and give f. -2 Express 2*o**3 - 116*o**2 + 118*o**2 - o**4 - 2*o**4 - 2 - o**3 in the form t*o**2 + s + d*o**4 + b*o + f*o**3 and give s. -2 Rearrange (-l + 2*l**2 + l)*(3 + 4 - 4)*(-2 + 0 + 3)*(1 - 1 + 2) to the form b + w*l + s*l**2 and give s. 12 Rearrange (-1 + 0 + 0)*((-6 + 1 + 2)*(-2*b + 2*b + 4*b) - b + 0*b - 4*b) to the form x*b + v and give x. 17 Rearrange (27*n**2 - 814 + 814)*(-9 + 5 + 2)*(3 - 2*n - 3) to q + p*n**2 + m*n**3 + t*n and give m. 108 Express -263*x**2 + 353*x + 345*x - 704*x + 81*x**2 in the form k*x**2 + n + p*x and give k. -182 Rearrange (-3 + 0 + 0)*(-2 + 0 - 5)*(0*m - 4 + 3 + m) to k + q*m and give q. 21 Rearrange (23 + 28*p - 23)*(-28 - 27 - 6 - 13 - 11) to the form g + w*p and give w. -2380 Express -14*b**2 - 12*b**2 + 25*b**2 + 3*b**3 + 22*b**4 in the form d*b**2 + r*b**4 + m + g*b**3 + t*b and give g. 3 Express (4*q + 15*q**2 - 4*q)*(0*q + 2*q + 0*q)*(-4*q - 2*q - 2*q) as g + m*q**4 + p*q**3 + b*q**2 + d*q and give m. -240 Rearrange -288*z + 141*z + 151*z + 17 to c*z + x and give c. 4 Rearrange ((-105 + 105 - 74*c)*(1 + 3 - 3) - c - 5*c + 4*c)*(-1 - 3*c + 1) to the form g + x*c + a*c**2 and give a. 228 Express -m**2 + 1838*m - 1885*m + 8*m**2 as q*m**2 + l + x*m and give l. 0 Rearrange -3*m**2 + m**2 + 7*m**2 - 7 - 10*m**2 to the form s*m**2 + r + x*m and give r. -7 Express q + 21*q**2 - q**4 - 237*q**2 + 2 + 137*q**2 as o + d*q**2 + j*q + k*q**3 + r*q**4 and give o. 2 Express (670 + 288 + 212)*(-2*d**2 + 2*d**2 + d**2 + (2*d + 3 - 3)*(d + 2 - 2)) as m*d**2 + f*d + l and give m. 3510 Express y**3 + 2*y**3 - 5*y**3 + (2*y**2 + 0*y + 0*y)*(130 - 109*y - 130) in the form n*y**3 + v*y + x + c*y**2 and give n. -220 Express (1 + 15*r**3 + 6*r**2 - 2*r**2 - 6*r**2)*(0 + 0 + 2)*(-r + 0*r + 3*r) in the form q*r**4 + u*r + n*r**2 + s + m*r**3 and give q. 60 Express (146 + 0*t - 3*t + 4*t)*(0 - 2*t**3 + 0) as s + d*t**3 + w*t**2 + k*t**4 + q*t and give k. -2 Rearrange -496*f**2 + 1952*f**2 - f - 2*f**3 - 479*f**2 - 499*f**2 - 498*f**2 to g*f + r + x*f**2 + s*f**3 and give s. -2 Rearrange 81 + 2*o**3 - 33 + 16*o - 45 to a*o + k + u*o**3 + w*o**2 and give a. 16 Rearrange (0*u**2 - 1 - 3*u**2 + 3)*(-109*u**2 - 193 + 193 + (-2*u + 0*u + u)*(u + 0*u + u)) to the form h*u**4 + p*u + t*u**2 + k + l*u**3 and give h. 333 Rearrange (-3 + 6 - 1)*(101125 - 420*n - 101125) to the form b*n + g and give b. -840 Rearrange 44*a - 14*a - 2 - a**3 + 6*a to the form n*a + p*a**3 + h + b*a**2 and give n. 36 Rearrange 8 - 4*i**2 + 3*i**3 + 3*i**3 + 2*i**2 - 2*i**3 - 13*i + 12*i to the form l + v*i**2 + k*i + u*i**3 and give v. -2 Rearrange 6*y - 6*y**3 - 10*y + 6*y + 3*y**3 - 14*y**4 to i*y**4 + s*y**3 + a*y + q*y**2 + o and give a. 2 Rearrange 27*b**2 - 7*b**2 - 21 + 21 + 8*b to p + f*b + w*b**2 and give w. 20 Express -36*o - 44*o + 81*o - 480 + (-o + 2 - 2)*(-3 + 1 + 1) in the form c + d*o and give c. -480 Express 0 - 10507*i**2 - 2*i**4 - 54*i**3 - 2*i + 1 + 10505*i**2 in the form c + n*i + t*i**3 + w*i**2 + o*i**4 and give n. -2 Rearrange (6 - 2 - 1)*((-2 + 2 - 2)*(0 - 1 + 5) + 3 - 1 - 3 + (-3 - 3 + 5)*(-1 - 1 + 5))*(0*l - 6*l + 3*l) to the form r*l + u and give r. 108 Express (3 + v - 3)*(-106*v**2 - 843*v**2 + 492*v**2) as o*v + h + q*v**3 + n*v**2 and give q. -457 Rearrange 12 - 2*m**2 - 2*m**3 + 5 - 5*m**4 - 13*m**4 - 19 to v*m**3 + s*m**2 + i + a*m + r*m**4 and give s. -2 Express 3110*i**3 - 1556*i**3 - 2*i**2 - 1553*i**3 - 41 in the form p*i**2 + s + m*i**3 + n*i and give m. 1 Rearrange 3*g**3 + 1478 + 0*g**3 - 1534 to the form l*g**2 + b + p*g + z*g**3 and give b. -56 Rearrange (-2 + 3 - 2)*((2 + 0 + 1)*(4 - 6 + 0) - 3 + 0 + 4)*(8*n - 3*n + 0*n)*(-4 + 5 + 1) to b*n + u and give b. 50 Rearrange (-2 - 2*q + 2 + (-6 + 3 + 0)*(-q - 2*q + 7*q))*(4 - 1 - 5) to y + f*q and give f. 28 Rearrange ((3 - 3 + 2*w)*(-43*w + 5*w**3 + 43*w) + 3*w**4 - 3*w**4 + 2*w**4)*(-4 + 4 - 4) to v + i*w**4 + q*w + c*w**2 + r*w**3 and give i. -48 Rearrange -2 + 0 + 8*w**2 - 10*w**2 - 2*w**3 + 9*w**3 + 5 to c*w + u + l*w**2 + t*w**3 and give l. -2 Express (-108*k + 108*k - 25*k**2)*(0*k - 2*k - 2*k) + 2*k**3 + 0 + 0 in the form q*k + o + l*k**3 + h*k**2 and give l. 102 Rearrange -16*m + 2 + 20*m - 17*m - 27*m to c*m + w and give w. 2 Rearrange (3*t - 2*t + 6*t)*(-14*t + 14*t - 124*t**2) to the form s + y*t**2 + a*t**3 + u*t and give u. 0 Rearrange -7*a**4 - 218*a**2 + 202*a**2 - a**3 - 2*a**4 + 10*a**4 - 2 to m + g*a**2 + t*a + k*a**4 + h*a**3 and give g. -16 Rearrange (-5 + 0 + 3)*(-5*s + 2*s + s) - 19*s - 36*s - 31*s - 2 + 2 + s to the form d*s + r and give d. -81 Express -362*n - 457*n + 903*n + 901*n + 743*n as c + u*n and give u. 1728 Rearrange -29*p**2 - 1 + 0 - 3*p - 10*p**3 + 29*p**2 + 8*p**3 to d*p**3 + q*p**2 + r + t*p and give t. -3 E
{ "pile_set_name": "DM Mathematics" }
24 for w. 2 Let z = 7 - 4. Suppose 2*s - 11 = 3*k, 117*s + 20 = -117*s + 236*s. Solve 0 = -z*u + 2*v - 19, -3*u + 3 = u + k*v for u. -3 Let a be (-760)/(-285) - (-16)/12. Solve 0 = i - 5*x - 5, 5*x + 6 = -a*i + 26 for i. 5 Suppose -4510 = -196*w - 9*w. Solve -5*q + 3*t + w = 7*t, -t = -3 for q. 2 Let w = 88 - 79. Let t(q) = 7*q - 12*q**2 - 15*q - w - 4*q + q**3. Let o be t(13). Solve -3*x - b + 5 = 0, -2*b - 6 = -o*x - 4*b for x. 2 Suppose -4*j + 2*j = 0. Suppose 4*a - 64 = -j*a. Let h = 1035 - 1026. Solve -4*w = 5*d + a, 0 = 4*w - h*w + 5*d + 25 for w. 1 Let v(w) = 10*w + 46. Let k(x) = 5*x + 23. Let g(m) = -5*k(m) + 2*v(m). Let j be g(-5). Solve 4*z + 2*l = -0*z + 16, j*z = l for z. 2 Let k be ((-4)/(-9))/(-2) + (-552)/(-54). Let d = k - -7. Suppose 5*n - d = -7. Solve 5*x - 6 = 2*u, -n*u = 5*x - 2*x + 6 for u. -3 Let r = -467 + 485. Let o be (-20)/(-6) + 8/12. Solve j - 5 = -4*b, -3*b + o*j + r = -0 for b. 2 Suppose j = j + 7*j. Let q(y) = -y + 3. Let f be q(-17). Solve 2*m + 10 = j, t - f = -3*t + 4*m for t. 0 Suppose 3*l - 18 = -2*f, 0 = 5*f + 4*l - 5 - 33. Solve c = -33*q + 35*q, 5*c - 4*q + f = 0 for c. -2 Let w(c) = c**3 + 97*c**2 + 711*c + 2. Let p be w(-8). Solve -28*b = -26*b - u - 7, p = 2*b - 4*u for b. 3 Let v(c) = 12*c - 12. Let t be v(4). Suppose a - i = 6, -4*i = -5*a + t - 11. Let w be (a/((-2)/10))/(-1). Solve s + w*l = -3*s + 14, 4*s + 4*l - 12 = 0 for s. 1 Let v be 472/1770*(-18)/(-4)*10/3. Solve 0 = -5*z - 2*w - 0*w + 4, v*w = 5*z + 8 for z. 0 Suppose 0 = -11*f + 61*f. Solve -3*i - 3 - 12 = w, 3*w + 2*i + 10 = f for w. 0 Let g = -1501 - -1501. Solve 3*j = 5*i - 2 + 4, g = i + 1 for j. -1 Let g(d) = 5*d + 221. Suppose 2*r - 4*r - 2*k - 96 = 0, -2*k = 4*r + 182. Let a be g(r). Solve 0 = 3*z - 5*y - 18, 2*y + a = 2*z - 2 for z. 1 Suppose -3*v + 12 - 21 = t, -3*t + 29 = -5*v. Solve 0 = -z - 3*q + 13, 0 = -t*z - 5*q + 25 - 2 for z. 1 Let t(k) = -k**3 + 40*k**2 + 104*k + 1083. Let g be t(43). Solve -g*w - x - 21 = -12*w, 2 = -2*x for w. 5 Suppose -22*v - 17 + 83 = 0. Suppose -2*b - 27 = -w, 3*b + 83 = 4*w - 0*b. Suppose -2*i + w = -v. Solve 3*t = -3*z - 0*t - 9, i = -5*t for z. -1 Let g(q) = -q**2 - 8*q - 12. Let j be g(-5). Let u = 32 + -27. Suppose -s + u*f + 18 = 0, 2*f - 10 = -s - f. Solve h - 5*a = -j*a - 6, -s = 3*h - a for h. -4 Let k be (11/9*3)/(-84 - 7337/(-87)). Suppose 3*z - 4 - 2 = 0. Suppose 3*y - z = y. Solve 4*b + k = -v, 0 = -4*v - 4*b + y - 9 for v. 1 Let u = 49 - 50. Let l be (2/5)/((u/10)/(-1)). Let j be 0/(l/(-6 + 2)). Solve -1 = 3*s + 5*v + 12, 4*v + 8 = j for s. -1 Let a = 3058 - 3056. Solve 4*w - 21 + 35 = 2*l, -2*w = -a*l + 12 for w. -1 Let w(u) = -u**2 - 5*u + 41. Let x(b) = -b**3 - 6*b**2 - 11*b - 26. Let d be x(-5). Let g be w(d). Solve -g*q + 5*a - 3 = -2*q, 0 = 5*q + a + 5 for q. -1 Let g be (-2160)/1296*(-36)/5. Solve 2*p + 16 = -8*q + g*q, 3*q + 2*p = 12 for q. 4 Suppose 5*h + 4*m - 8 = 52, 60 = 5*h - m. Suppose -49*z = -a - 47*z + 18, -5*a = z - 13. Solve h = g - 4*n, -3*n + 4*n + 20 = -a*g for g. -4 Let j(o) = 225*o + 1824. Let g be j(-8). Solve -2*v = -3*q - 7*v + g, 4*q + 4*v = 24 for q. 3 Suppose 19 = -p + 5*k, 38 = -12*p + 8*p + k. Let r be ((-22)/(-99))/((-1)/p). Let q = -1 + 4. Solve -3*d - 13 = -h, q*h + 0*h = -r*d - 5 for h. 1 Suppose -s + 5*s - 3*c = 11, 0 = -5*s + 2*c + 12. Let l = 129 + -72. Let d = l + -45. Solve -3*k - h = -4 - 6, 4*k = -s*h + d for k. 4 Suppose -22*y - 74 + 477 + 15 = 0. Solve -24*v + n = -26*v - 17, -v + 5*n = -y for v. -6 Suppose -7*r = -15*r + 40. Solve 4*q = -0*h + h - 5, 0 = -r*q for h. 5 Let v = -25538 + 25541. Solve 2*r - h - 1 = 0, 0*h + v*h = -3*r + 24 for r. 3 Let c(v) = 2*v**2 + 21*v - 10. Let k be c(-11). Let i = -446 - -449. Solve 3*w - 6 = -3*z, 3 = 4*z + i*w - k for z. -2 Let q(m) = m**3 - 2*m**2 - m - 4. Let w be q(3). Suppose j + 2*j - 32 = -4*p, 3*p - 4*j = 49. Solve -w*y - g = -0*g - 5, 0 = -2*y + g + p for y. 4 Suppose 0 = 5*r - 246 - 44. Suppose -7*t + 2*t = -2*j + 46, -t = 2*j - r. Solve -j = 2*n + 4*v + v, -3*n - 5*v = 32 for n. -4 Suppose -49*q + 378 = -7*q. Let m be q + 4 + -6 + 2 + -5. Solve 4*t + 12 = 0, -4*c - m = -3*t - t for c. -4 Let z(b) = -b**2 + 15*b + 4. Let x be 128/(2 + 6) + -1*1. Let c be z(x). Solve -3*w = -c*y + 13, -4*w = 3*y - 0*w + 9 for y. 1 Let f = 57 - 99. Let l be f/56 - (-71)/4. Let v = -11 - -15. Solve -n - v = -2, 3*y - 4*n = l for y. 3 Let c be (28 + -26)/(7 + -9). Let q(f) be the first derivative of -3*f**2/2 + 3*f + 1. Let t be q(c). Solve 4*k + j = -k - 18, -3*j = -k + t for k. -3 Let c(o) = 3*o**3 - o**2 + 2*o - 1. Let u be c(1). Suppose 4*k - 12 = 2*r + 4, u*k - 6 = 3*r. Solve -5*n - 9 = -4*p, -5*p + 2*n - k = 4 for p. -4 Let n(a) = -46*a + 140. Suppose 0*t + 42 = 14*t. Let y be n(t). Solve 5*l + 15 = 2*z, -l - l = -y*z + 12 for z. 5 Let d(q) = 6*q + 17. Suppose 2*w - 10 = 2*z, -55*w = -50*w - 15. Let o be d(z). Solve -3*f = -r - 15, 0*r + 3 = -3*f - o*r for f. 4 Let w = 477 + -474. Solve w*u = 5*y - 22, -11*u = 3*y - 14*u - 18 for y. 2 Let k = -1921 - -1925. Suppose 0*m - 4*m + 24 = 0. Suppose m + 0 = s. Solve h - 1 + s = 4*i, 6 = k*h - 3*i for h. 3 Suppose -3*j - 1 + 19 = 0. Suppose 5*l - 4 = l. Let d be (l + -1)*(j + -7). Solve 0 = -2*o + 3 - 9, 4*i + o - 17 = d for i. 5 Let z(n) = -15*n**2 - 18*n - 34. Let w be z(-3). Let m be (w/46)/((-2)/8). Solve 0*p - 10 = 3*p + 5*a, -2*a - m = 0 for p. 5 Let t(d) = 2*d**2 + 47*d - 53. Let s be t(-25). Solve -5*h + 3 + 12 = -g, 3*h + 2*g = s for h. 4 Suppose -3*x + x = -4. Let n be (-92)/299 + 1247/377. Solve -g - n*b - 25 = g, x*g + 5*b + 35 = 0 for g. -5 Let i = 2255 + -2251. Solve 0 = -i*v - 5*l - 8, 7*l - 3*l + 10 = -5*v for v. -2 Let m(k) = k**2 + 5*k - 9. Let j be 2*5/10 + -8. Let l be m(j). Suppose 3*q - 4*q = -3. Solve 0*g + 15 = -g + l*u, q = u for g. 0 Let k(v) = -v**3 + 2*v - 1. Let d(x) = 4*x**3 + 9*x**2 - 26*x + 14. Let a(y) = -d(y) - 5*k(y). Let q be a(7). Solve 0*n = 2*n - 4*i + 2, 5*n + q = -2*i for n. -1 Suppose 4*d - 4260 = -5*s, 0 = 2*d - 5*d + 15. Let i = s + -847. Solve -4*a = 2*x + 12, a + i + 1 = 0 for x. -2 Let n be 7 - (-7 - -7) - -101. Suppose n = 91*h - 79*h. Solve c + p = h - 1, -2*c - 14 = -4*p for c. 3 Let g be (-1 - -6)*(2 + 1/1) + -7. Solve 13*z - 14 = 4*y, -3*z + g*z - 16 = -2*y for y. 3 Suppose -4*i + 5*i = -2. Let z(m) = -3*m**3 - 2*m**2 + 3*m + 3. Let k be z(i). Solve 2*h - l = k, 2*l + 2 = -4 for h. 5 Let r(n) = n**2 + 5*n - 4. Let m be r(-6). Suppose -m*v + 78 = 3*l - 49, -2*l + v + 94 = 0. Suppose 48*c - 12 = l*c. Solve -5 = 4*t - 21, -c*f + 4 = -t for f. 2 Let d(o) = 43*o - 1630. Let l be d(38). Solve u + l*r = -91 + 110, 5*u + 5*r - 20 = 0 for u. -1 Let c = 246 - 248. Let b be ((-110)/(-11))/((-5)/c). Solve -t + 6*t = -3*r - 13, 12 = -4*t - b*r for t. -2 Let p = 42 + -46. Let b(i) = i**2 + 3*i - 3. Let d be b(p). Suppose 0 = -l - d + 3. Solve -l*a = 4*n + 22, -3*a + a - 27 = 5*n for n. -5 Let l(c) = -144*c + 2793. Let g be l(19). Solve -3*w - 4*h = -74 + g, 2*h = 4 for w. 3 Let y = -18 - -18. Suppose y = 4*l - 6*l + 8. Solve -2*k = 0, -i - 2*k = i + l for i. -2 Let t(o) = -6*o - 1. Let v be t(-9). Let r = v - -16. Let q be 2/(-3) - r/(-9). Solve 0 = -5*d - 3 - 2, j - 4*d = q for j. 3 Suppose 0 = 3*d + 5*f - 36, d - f + 6 - 2 = 0. Solve -v - i = d, -v + 0*i - 2*i - 7 = 0 for v. 3 Let s = -64 + 67. Suppose 2*u = -4*q + 24, -2*q = -2*u + s + 9. Suppose 16 = -4*d + u*d. Solve d = -3*i - 2*n, -i = 3*n + 18 - 5 for i. 2 Let z = 3439 - 3435. Solve -2 = -2*c + z*s + 16, s - 1 = -5*c for c. 1 Let r be (4/3 - 0) + 435/45. Suppose -r*a + 8 = -3. Solve -4*l - 2*i - 1 = a, 0 = -l - 4*i - 11 for l. 1 Let t be (-6)/7*7*1. Let j be (-1)/6 - 13/t. Suppose 10*a = -5 + 5. Solve c + 2*c - v = a, -j*c = v + 5 for c. -1 Let s be (29/(-4))/(4/(-16)). Solve -15 = 4*j + 5*b + 10, -4*b = 5*j + s for j. -5 Suppose 4*c - 136 = -4*v, 156 = 5*c + v + 22. Solve -5*f + 6 = -7*o + 47, -3*o + 4*f = -c for o. 3 Let w = 217 - 384. Let f = -166 - w. Solve -2*t = -c + 3, 3*c - 4*t + f = 2 for c. -5 Suppose z = 4*p - 4*z - 43, -4*p - 5*z = -13. Suppose 2*s = -3*k + 4, 2*s + p*k - 14 = 9*k. Solve 4*i - s*m = 0, 0*i + 4*m = -2*i for i. 0 Let v = -516 - -442. Let h = v + 77. Solve 0 = 6*o - 3*o - h, 0 = -2*c + 2*o for c. 1 Suppose 3*r + 6 = -3*x, 3*x + 19 + 5 = 3
{ "pile_set_name": "DM Mathematics" }
of -2*l**3*w**2 + 371594*l**3*w*z + l**3*z + 5*l**2*w**2*z - 2*l**2*w - 2*l*w*z - 9144*w**2*z wrt l. -12*w**2 + 2229564*w*z + 6*z Differentiate 29179213*y**3 + 13774200. 87537639*y**2 Find the first derivative of 45397*v**4 - 164*v**3 - 12227134. 181588*v**3 - 492*v**2 Find the second derivative of h*k**2 - 173*h*k + 283*h - 175278810*k**3 + 4*k + 5 wrt k. 2*h - 1051672860*k What is the third derivative of -494518571*a**3*h + 4*a**2*h + 53481883*a**2 wrt a? -2967111426*h What is the first derivative of -30*i*k*m + 383*i*k + 2*i*m**3 + i + 6*k*m**3 - 253645*m**2 + 8*m - 1 wrt k? -30*i*m + 383*i + 6*m**3 Find the first derivative of -96061*d**2*j + d**2 - 54*d*j - 3*d + 6*j + 21184581 wrt j. -96061*d**2 - 54*d + 6 What is the second derivative of -5746127*c**5 + 2*c**4 - 4*c**2 - 101040909*c wrt c? -114922540*c**3 + 24*c**2 - 8 What is the derivative of -1132*a**2*j - 3*a**2 + 9*a*j**2 - 423*a + 487*j**2 + 2*j + 13937 wrt a? -2264*a*j - 6*a + 9*j**2 - 423 Find the second derivative of 65*a**2*z**2 + 28721*a**2*z + 2*a**2 - 3014*a*z**2 - 3*a + 20*z**2 - 6*z wrt a. 130*z**2 + 57442*z + 4 Differentiate 58817644*f*z**2 - 27163664*z**2 with respect to f. 58817644*z**2 Find the second derivative of -1316*r**5 + 87946*r**4 - 2797*r - 57558. -26320*r**3 + 1055352*r**2 Find the second derivative of 4901792*m**3*n**2 + 5*m**3*n - 3*m*n**2 + 27288*m*n + n**2 wrt m. 29410752*m*n**2 + 30*m*n Find the second derivative of -w**4 - 10046118*w**3 + 1354*w - 2440. -12*w**2 - 60276708*w What is the third derivative of 77577761*c**3*w**3 + c**3*w**2 - 3*c**3*w + 827435*c**2*w**2 wrt w? 465466566*c**3 Find the third derivative of -944*f**6 + 4522*f**3 + 7*f**2 + f + 83383 wrt f. -113280*f**3 + 27132 Differentiate -798*b*d**2 - 11899*b - 25080*d**2 - 205*d wrt b. -798*d**2 - 11899 Find the third derivative of -21689*u**6 + 2171*u**5 - 390484*u**2 - 12*u - 3 wrt u. -2602680*u**3 + 130260*u**2 What is the second derivative of -1441*b**3*d**2 + 12*b**3*d*x - 20*b**3*x - 108*b**3 - 72179*b*d**2*x + 843*d*x wrt d? -2882*b**3 - 144358*b*x Find the third derivative of 772789569*h**3 + 4*h**2 - 26680357*h - 2 wrt h. 4636737414 What is the second derivative of -2*k*y**5 - 159*k*y**2 + 523967*k*y + 4943*y**2 + y + 1 wrt y? -40*k*y**3 - 318*k + 9886 What is the second derivative of 696*v**3 + 90880*v**2 - 546562515*v? 4176*v + 181760 Differentiate -29313566*u**2 - 8946251 with respect to u. -58627132*u Find the third derivative of -17*p*v**3 + 2*p*v**2*w**3 + 3*p*v*w**3 + 2*p*w**3 - 46044*p + 173202*v**4 + 9*v**3*w**3 + v wrt v. -102*p + 4156848*v + 54*w**3 Find the first derivative of 5130270*f**2*m*p**2 + 7*f**2*p - f*p**2 - 2*f*p + 7578*f + 2*m*p**2 + p wrt m. 5130270*f**2*p**2 + 2*p**2 What is the derivative of 88312657*s - 112729408? 88312657 Find the third derivative of 7*t**4 - 5550960*t**3 + 38*t**2 - 3*t + 29478 wrt t. 168*t - 33305760 Find the third derivative of 13797*s**5 + 49*s**4 + 3139*s**2 + 27*s + 4. 827820*s**2 + 1176*s Differentiate -70098811*s**4 - 149471219. -280395244*s**3 What is the third derivative of 34119*m*p**3 - 2*m*p**2*s**2 + 28*m*p**2 - 5*m*p - m*s**2 + 197*m*s + 421*p**3*s**2 - 37*p**2 wrt p? 204714*m + 2526*s**2 What is the third derivative of 59376188*b**3 + b**2 - 22502998? 356257128 Differentiate -343*x**4 - 199097*x**3 - 89292886 with respect to x. -1372*x**3 - 597291*x**2 Find the third derivative of 2*n**4*o - 319*n**4 - 109*n**3*o + 20*n**2*o + 3*n**2 - 100*n - o + 14 wrt n. 48*n*o - 7656*n - 654*o What is the third derivative of -m**5 + 157797*m**4 - 409*m**3 - 12*m**2 - 4216*m - 6218 wrt m? -60*m**2 + 3787128*m - 2454 What is the third derivative of -2*z**5 - 30962653*z**4 + 7*z**2 + 23*z - 34521 wrt z? -120*z**2 - 743103672*z What is the third derivative of 5812728*o**4 - 6*o**2 - 36*o - 1331? 139505472*o Find the second derivative of n**2*r**3 + 619718056*n**2*r**2 + 85*n*r**3 + 2*n + 21*r**3 + 1708*r**2 wrt n. 2*r**3 + 1239436112*r**2 Differentiate 16593014*p**2 + 3*p - 26764061. 33186028*p + 3 Find the second derivative of -1200*a**5 - 866*a**2 - 37*a - 65352 wrt a. -24000*a**3 - 1732 Find the second derivative of -2*g*s**2 + 4*g*s - 8*g + 5058556*s**2 - 43468*s - 1 wrt s. -4*g + 10117112 What is the derivative of -40531682*u + 1177202363? -40531682 What is the third derivative of -25132*l**3*o**3 - 177*l**3 - 1796*l*o**5 + 143297*l + o**2 wrt o? -150792*l**3 - 107760*l*o**2 What is the derivative of 9466172*d**2 - 35423431? 18932344*d Find the third derivative of 1429289*y**5 - 2*y**4 - 9*y**3 + 70817*y**2 + 1092 wrt y. 85757340*y**2 - 48*y - 54 What is the derivative of -669245*a*g + 22*a + 115484886*g wrt a? -669245*g + 22 What is the second derivative of -1658*o**5*s + 351*o**2*s - 4*o*s + 341754*o wrt o? -33160*o**3*s + 702*s Find the second derivative of -522654*i**3 + 2*i**2 - 379*i + 2883 wrt i. -3135924*i + 4 Find the second derivative of -2*m**5 + 252424*m**4 - 11*m**3 - 932*m - 118072. -40*m**3 + 3029088*m**2 - 66*m Find the second derivative of 52559*k**2*t - 2201*k**2 + 1103*k*t - 3*k - 4*t + 373 wrt k. 105118*t - 4402 Find the third derivative of 15523050*x**4 + 2918*x**2 - 650*x. 372553200*x What is the derivative of -20529*h*z + 94846800*h + 4622*z wrt z? -20529*h + 4622 What is the first derivative of -2716508*k**3 + k**2 + 2*k - 20513784? -8149524*k**2 + 2*k + 2 Find the second derivative of -29327*c*g**3*k**2 - 782*c*g**3 + 1628*g**3*k**2 - 30*g**3 + 244*k wrt k. -58654*c*g**3 + 3256*g**3 Find the third derivative of 11865015*n*v**3 + 39*n + 28*v**2 - 1278*v wrt v. 71190090*n Find the third derivative of 201*p**6 - 173733*p**4 - 292341040*p**2 wrt p. 24120*p**3 - 4169592*p Find the third derivative of 44333605*z**3 - 47553902*z**2 - 2*z. 266001630 What is the derivative of 844721774*p**4 + 2*p - 203239239 wrt p? 3378887096*p**3 + 2 Find the second derivative of -10*d**4 + 33408*d**3 - 3*d**2 + 266*d + 477 wrt d. -120*d**2 + 200448*d - 6 What is the second derivative of 29997384*c**5 - 3448*c - 44 wrt c? 599947680*c**3 What is the derivative of -86*t**2 - 1100*t + 11161079? -172*t - 1100 Differentiate -449*q*y**2 + q*y - 14534335*q - y**2 - 4445*y wrt y. -898*q*y + q - 2*y - 4445 What is the first derivative of 479144940*q**3 + 120049609? 1437434820*q**2 Find the third derivative of -583*b**5 + 7*b**4 - 75*b**3 - 2*b**2 - 476674*b - 1 wrt b. -34980*b**2 + 168*b - 450 Find the third derivative of 115*f**4 + 12100*f**3*j**3 + 8*f**2 + 63447*f*j**3 + 5*f wrt f. 2760*f + 72600*j**3 What is the third derivative of 515*b**5 - b**4 - 1900*b**3 - 12886027*b**2 wrt b? 30900*b**2 - 24*b - 11400 Find the third derivative of -5733204*q**4 + 517*q**2 - 2271*q + 1 wrt q. -137596896*q What is the third derivative of 2524634*i**3*z**3 + i**3 - 2838*i**2 + i*z**2 - 10*z**2 wrt z? 15147804*i**3 What is the third derivative of -21187689*j**6 - 224405669*j**2 wrt j? -2542522680*j**3 What is the third derivative of 3*t**4*u - 5*t**4 - 180249*t**3*u**2 - 2*t**2*u - 86*t*u**2 - 7477*t + 2*u**2 wrt t? 72*t*u - 120*t - 1081494*u**2 What is the second derivative of 3*p*t**4 - 331*p*t**3 - 4*p*t - 5936956*p + 293*t**3 - 4*t - 2 wrt t? 36*p*t**2 - 1986*p*t + 1758*t What is the third derivative of 4787687*v**6 - 62898*v**2 + 53? 574522440*v**3 Find the first derivative of -601180131*s + 499907620 wrt s. -601180131 Differentiate 5830*i**2*x + 159114567*i**2 + 12*i*x**4 + 23*i*x**2 wrt x. 5830*i**2 + 48*i*x**3 + 46*i*x What is the first derivative of -12706400*l - 14831808 wrt l? -12706400 Find the second derivative of 14754558*v**2 + 3595726*v wrt v. 29509116 What is the third derivative of -10171610*a**6 + 18307370*a**2 wrt a? -1220593200*a**3 Find the first derivative of -1658982*m**2 + m - 10415226 wrt m. -3317964*m + 1 Find the third derivative of 17949453*w**5 + 4*w**3 - 3*w**2 + 6078*w + 37. 1076967180*w**2 + 24 What is the first derivative of -39031883*y**2 - 54626687? -78063766*y Find the second derivative of -193163*m**3*x**2 - m**3 + 6*m**2 + 32*m*x + 2*m - x**4 - 30*x wrt x. -386326*m**3 - 12*x**2 Find the second derivative of 29640*j**4*o - 451*j**2*o + 1231*j - o + 5365 wrt j. 355680*j**2*o - 902*o Find the second derivative of -238170574*t**4 + 862077547*t wrt t. -2858046888*t**2 What is the first derivative of -17712100*j
{ "pile_set_name": "DM Mathematics" }
190)*(i + 7*i - 2*i) to the form x*i + d and give x. 2436 Express -1 - 6 - 18 + 37*n + 5*n + 9 in the form a*n + g and give g. -16 Express 2511*t + 1 - 2509*t + 8*t**4 - 6*t**4 - 8*t**4 - 6*t**2 + 4*t**2 in the form r*t + m + c*t**2 + o*t**4 + a*t**3 and give r. 2 Express (-6 + 8 + 2)*(-2*o + 2*o + 2*o)*((3 + 4 - 6)*(2 - 1 + 0) - 285 - 195 - 100) in the form p*o + k and give p. -4632 Rearrange -5 + 4 + 55*f**3 + 0 + ((1 - 4 + 1)*(0*f + f**2 + 0*f) + f**2 - f + f)*(30 - 19*f + 8*f + 13*f) to the form t*f**3 + d*f + b + g*f**2 and give t. 53 Express (3*q - 3*q - 3*q)*(-221 - 46 + 27) + 1 - 11*q - 2 + 7*q + (-q + 2 - 2)*(0 + 5 - 3) in the form x + j*q and give x. -1 Express (278283 + 850*j - 278283)*(-j - 8 + 8 + (2*j - 4*j + 3*j)*(-4 + 3 - 1)) as a + n*j**2 + w*j and give n. -2550 Express (-2219*u + 100886*u**2 + 32793*u**2 + 4513*u - 2294*u)*(-2*u**2 + 0*u**2 + 0*u**2) as o + i*u**3 + s*u**4 + w*u**2 + c*u and give s. -267358 Rearrange -12738*h - 823*h - 4612*h + 2077*h to the form w + p*h and give p. -16096 Express -q**2 + q**2 - q**2 + (282*q - 409*q - 566*q)*(-5*q - q + 2*q) + 0*q**2 + 0*q**2 + q**2 as f*q + v + a*q**2 and give v. 0 Rearrange (0 + 0 - 3*w)*(3*w + 1 - 1 + (4 - 4 + 2*w)*(-1 + 1 - 1) - 11*w - 60*w + 6*w) to the form y*w**2 + j*w + r and give y. 192 Express (3 - 2 + 0*w - 2*w)*(-3*w - 2 + 2) - 6503*w**2 - 1236*w**2 + 1409*w**2 in the form k*w + q + m*w**2 and give m. -6324 Rearrange (7*i - 5 + 5)*(-1 + 1 + 2*i + (3 - 2 + 0)*(-13*i - 19*i + 18*i)) to w*i**2 + f*i + n and give w. -84 Express 2 + 5 - 375*d + 6*d + 158*d as l + i*d and give l. 7 Express (3712*i + 192107 - 192107)*(-i**2 + i**2 + 2*i**2) as s + q*i**2 + j*i + l*i**3 and give l. 7424 Rearrange 87 + 66 - 14011*l - 153 - 13295*l to q + v*l and give v. -27306 Rearrange 51*n + 6*n**2 - 8*n**2 + 435 + 47*n - 93*n to b + y*n + u*n**2 and give b. 435 Express 2*w**3 + 95*w + 95*w - 153*w + (4*w - w + 5*w)*(4*w + 2*w**2 - 4*w + (-2*w + 0*w + 0*w)*(-1 - 2*w + 1)) as t*w**2 + j*w + n + y*w**3 and give j. 37 Rearrange x**2 + 432*x - 1471*x - 2*x**2 + 705*x - 2 to the form k*x + m*x**2 + o and give k. -334 Rearrange 1 + 2*j - 1 + (3 - 1 + 1)*(j + 2*j - 2*j) + 1 - 3 - j - 2 + 8*j - 2 + 2 to v + l*j and give v. -4 Rearrange (16 + 14 + 13)*(-r + 4*r - 6*r) - 3*r + 2*r + 25*r to o*r + g and give o. -105 Express -2*y**3 - 65*y + 4*y**2 + 135*y + 0 + 6 + 9*y**4 - 71*y - 8 as j*y**3 + v*y**4 + x*y + b*y**2 + g and give b. 4 Express -505*v - 3 + 992*v - 482*v + v**2 + 6*v**3 in the form u*v**3 + y*v**2 + g*v + w and give w. -3 Express -41*p**2 + 61*p**2 + 39*p**2 + 17*p**2 + 2 - 54 in the form h*p + t*p**2 + z and give h. 0 Express -3 - 20*n**3 + 31*n**2 + 2 + 3 + 28*n**3 - 10*n**3 - 12*n as d*n**3 + i*n**2 + j*n + y and give d. -2 Rearrange -2*o + o + 2*o + (-388 + 5644 - 1911)*(o + 0*o - 3*o) to the form b*o + n and give b. -6689 Express -4527 + 149*n**2 - 449*n**2 + 153*n**2 + 146*n**2 + 1611 in the form r*n**2 + y + u*n and give y. -2916 Rearrange -14399*c + 1414049906 - 1414049906 to a + t*c and give t. -14399 Express 2077*v**2 - 55*v**2 + 47*v + 5955*v**2 - 48*v in the form q*v**2 + b*v + u and give q. 7977 Express (2*y - 4 + 4)*(-6*y**3 + 0*y**3 + 2*y**3) + 302*y**4 - 1818*y**2 + 1818*y**2 as l*y + c*y**4 + w*y**2 + s + k*y**3 and give c. 294 Express -2271218*m + 2271218*m - 25142*m**2 as g + x*m**2 + u*m and give x. -25142 Rearrange -794*s**3 + 245*s**4 + 2*s - 5 + 792*s**3 - 15*s**4 to p*s**4 + q*s**2 + o + z*s + t*s**3 and give z. 2 Rearrange 655*t + 155*t**3 - 1350*t + 695*t - 17 to f*t**2 + p*t + o*t**3 + q and give o. 155 Rearrange 2 - 150*i**2 - 290*i + 600*i - 309*i to p*i**2 + t*i + q and give p. -150 Express (1 - 2 + 2)*(1947*k - 18 + 18 - 788*k + 2958*k + 1998*k) in the form v*k + y and give v. 6115 Express 1908618 + 1112*z**2 + 5982*z**2 - 1908620 as i*z + f + w*z**2 and give f. -2 Rearrange (459*n - 490*n**2 + 4 - 429*n + 466*n**2)*(3*n - 3*n - 2*n) to y*n**2 + z*n**3 + f*n + g and give y. -60 Rearrange -138*c**2 - 1612*c - 4 + 1611*c + 6 to the form b + l*c + j*c**2 and give b. 2 Rearrange (-2*z + 4*z - 472*z**2 + 0*z + 2*z - 2*z)*(-45 - 15 + 4) to u*z**2 + f + i*z and give i. -112 Express (3 - 1 + 0)*(-4 + 2 + 1)*(7472*p + 2073*p - 1649*p)*(2 - 5 + 4) as k + g*p and give g. -15792 Express ((2 - 2 + 1)*(2 - 5 + 4) + 3 + 0 - 1 + 3 + 0 - 4 - 4 - 2 + 1 + 0 + 3 - 2)*(1422*p - 146*p**3 - 1422*p) in the form o*p**3 + c*p + a*p**2 + x and give c. 0 Express -575*b**4 + 1254*b**4 + 843*b**4 + (-3 + 1 + 0)*(14*b**2 - 5*b**4 - 14*b**2) as w*b**3 + k + o*b**2 + g*b**4 + f*b and give f. 0 Express (0 + 2 + 2)*(2 - 3 + 10)*(38*j + 37*j - 26*j) in the form q*j + p and give q. 1764 Rearrange -3188*d - 7505*d**2 + 1365*d + 7503*d**2 to h*d**2 + g*d + z and give g. -1823 Express 1067 - 472 - 4*g + 3*g**2 - 253 in the form w + v*g + u*g**2 and give u. 3 Express 2*n + 9*n - 8*n + 0*n - 1146 - 135 in the form f + t*n and give f. -1281 Express 2 - 82*u**3 + 83*u**3 - 71*u**2 + 6*u**3 in the form p*u**2 + t*u + k + h*u**3 and give p. -71 Rearrange 473*z + 195*z**4 - 2 + 4*z**2 - 2 + 3 - 473*z to b + v*z**2 + s*z + i*z**4 + x*z**3 and give i. 195 Express (-3*f - 2*f - f)*(-12 - 2 + 0)*(-10*f**2 + 4*f**2 + 2*f**2) in the form i*f**2 + l*f**3 + r + y*f and give l. -336 Rearrange 0*u + 3*u**2 + 8*u**2 - 7*u**2 - u + 27 to p*u**2 + f*u + w and give p. 4 Express -2505*h + 94 - 11 + 2506*h + (-2*h - 5 + 5)*(-1 + 4 - 4) + (2 - 7 + 3)*(3*h + h + h) in the form k*h + i and give i. 83 Express -393*c - 4*c**2 + 339*c - 443*c - 503*c as q + k*c + o*c**2 and give o. -4 Rearrange 7*d + 2*d**3 - 19 - 9*d + d - 12*d**4 + 10 - 3*d**2 + 8*d**2 to j*d + y*d**4 + w + s*d**2 + h*d**3 and give y. -12 Express (9*z**2 - 49*z + 49*z)*(-107 - 15 - 421*z**2 + 423*z**2) in the form c*z**3 + g*z**4 + y*z + x*z**2 + b and give g. 18 Rearrange (-4 - 2 + 4)*(2 - 1 - 3)*(-4 + 0 + 2)*(562 + 9*z - 614 - 14*z) to a*z + t and give t. 416 Express -165*u**4 - 484*u**4 + 1 - 153*u**4 + 177*u**4 - 8*u - u**2 + 9*u in the form o*u + a*u**3 + f + i*u**4 + z*u**2 and give f. 1 Express 18006*x - 4*x**2 + 96*x**3 - 18006*x as j + r*x + u*x**3 + z*x**2 and give z. -4 Rearrange (-3 + 0 + 1)*(-37*t - 19*t - 30*t)*(-52 + 52 + t**3) to the form y*t**3 + n*t**2 + a*t + p + u*t**4 and give u. 172 Rearrange (3511 + 715 - 528)*(-7*c**3 - 7*c**3 + c**3) to the form m + s*c + h*c**3 + o*c**2 and give s. 0 Express (0*t - t + 2*t)*(-7998 - 6013 + 1565)*(-2 + 1 + 2) as r + a*t and give r. 0 Rearrange 4*m + 4 + 18*m**2 - 2 + 28*m**2 - 86*m**2 - 3 to the form o + p*m**2 + t*m and give o. -1 Rearrange 441976*d - 115*d**3 - 441977*d - 60*d**3 - d**2 to the form u*d**3 + s*d**2 + r + t*d and give t. -1 Rearrange (7*g - 5*g - 7*g + (-2 - g + 2)*(3 + 1 - 3))*(405 - 32 + 148 + 3 + 0 - 2 + (-3 - 2 + 3)*(-2 + 0 + 0)) to the form q + h*g and give h. -3156 Express (2*p**2 + 2*p**2 - 5*p**2)*(-54*p + 158*p + 385*p) - p**3 + 2*p**3 + 0*p**3 in the form z + x*p**2 + f*p**3 + l*p and give f. -488 Express 41 + 340*t + 3*t**2 - 45 - 241*t as g + s*t + u*t**2 and give g. -4 Rearrange -9*y**4 - 5 + 2 - 9*y**4 + 25*y**4 + 10*y + 2*y**3 - 4*y**2 - 9*y**4 to the form o + i*y**3 + p*y + x*y**2 + h*y**4 and give x. -4 Rearrange 2*u**2 + 2 + 188 + 156 + 249 + 17 to d + j*u + m*u**2 and give j. 0 Express -5*f + 3*f - 2 + 0*f + 34*f**3 - 56*f**3 - 2*f**4 - 41*f**3 - f**2 in the form a*f**3 + h*f**2 + x*f**4 + d*f + t and give h. -1 Rearrange (m + 2*m + 0*m)*(-1094 + 187 - 203) to z*m + s and give z. -3330 Rearrange 3129*y + 12*y**3 + y**2 - 9*y**3 - 45*y**2 - 3150*y to w*y + f*y**3 + p*y**2 + t and give p. -44 Express 0*p**2 + 4*p**2 + 2 - 8*p**2 + p**2 + 2*p**2 - p**2 + (14 + 38 - 7)*(0*p**2 - 4*p**2 + 2*p**2) + 0 + 0 - p**2 in the form q*p + s*p**2 + t and give t. 2 Express -36*n**2 + 1981*n + 684*n + 31*n**2 - 289*n - 3*n**2 in the form i*n + d*n**2 + m and give d. -8 Express (3*m - 4 + 4)*(3 + 1 - 1) + (6 + 0 + 1)*(-60 - 7*m + 60) as s + j*m and give j. -40 Rearrange -40*o**2 + o**3 - 3 - 2*o**4 + 2*o + 4 + 71*o**2 - 32*o**2 to the form r*o**4 + u*o**2 + p*o + i + y*o**3 and give p. 2 Express -221*j**4 + 2*j**3 - 488*j**2 - 212*j**4 + 645*j**4 - 211*j**4 in the form q*j**3 + l*j + m*j**2 + f + x*j**4 and give q. 2 Rearrange -112 + 52*r - 92 - 53*r to v + t*r and give v.
{ "pile_set_name": "DM Mathematics" }
3? -924 Which is smaller: 1510/57 or 26? 26 Which is smaller: -0.1 or 460? -0.1 Which is greater: -73/26 or -3? -73/26 Is -1 != -1/4793? True Is -1566 less than or equal to -1564? True Which is smaller: -1 or 2/3363? -1 Is 6100 greater than 6100? False Which is bigger: -19 or -0.86? -0.86 Which is bigger: -1 or 1/325? 1/325 Are 12211 and 12211 non-equal? False Which is bigger: -506 or -508? -506 Is -98/3 > -32? False Which is smaller: 909 or 905? 905 Which is smaller: 252/13 or 20? 252/13 Is 1 > 39? False Which is greater: -0.1 or -426/23? -0.1 Which is bigger: -48735 or -48734? -48734 Is 0 smaller than -2/23673? False Are 34 and 131/4 nonequal? True Which is bigger: 14 or 16? 16 Which is smaller: -184 or -179? -184 Is -158/11 bigger than -13? False Which is smaller: 0 or -2/11097? -2/11097 Which is smaller: -38/1835 or 0? -38/1835 Which is greater: -146 or -148? -146 Which is smaller: -1 or 5/68? -1 Which is smaller: 1/2521 or -1? -1 Which is smaller: -1031 or -5152/5? -1031 Which is bigger: -1 or 13? 13 Which is smaller: -4/13 or 2/257? -4/13 Do -2 and 75 have the same value? False Is -4 bigger than 186? False Is -7 not equal to 0.207? True Which is bigger: -5 or -118/21? -5 Do -4550 and -4551 have different values? True Which is smaller: 1/456 or 1? 1/456 Which is bigger: 47878 or 47877? 47878 Which is smaller: 11 or -418? -418 Is 0 smaller than -1/3077? False Which is smaller: -431 or -861/2? -431 Which is bigger: 148 or 138? 148 Which is bigger: -1 or -0.025? -0.025 Do -77/103 and -2 have the same value? False Which is smaller: -4 or -48/17? -4 Is -62 at most as big as -16? True Does -4017 = -4017? True Is -11 smaller than 0.4? True Which is greater: 1 or 3/10667? 1 Which is bigger: -1 or 2009? 2009 Is 6204 greater than or equal to 6202? True Is 2 greater than or equal to 154/177? True Is 0 at most -1/1973? False Is 8/3 less than or equal to 2? False Which is smaller: -17/71 or 1? -17/71 Which is bigger: 15 or 0.29? 15 Is 197/7 >= 27? True Which is smaller: -56 or -0.1? -56 Is -2/9 > -29? True Is -0.221 at least as big as -1? True Is 147 smaller than 12? False Is 2542 at least 2543? False Which is smaller: 113 or 92? 92 Are 2/1377 and 0 unequal? True Does -93 = -1/2? False Which is smaller: -1899/14 or -137? -137 Which is bigger: 644/5 or 128? 644/5 Is 0.021 greater than or equal to 2? False Is 19 at most as big as -5? False Is -7/5 greater than -0.082? False Which is smaller: 0.041 or 1/2? 0.041 Is -5/6 bigger than 2/13? False Is 6818/3 greater than or equal to 2274? False Which is smaller: 1 or -4/409? -4/409 Is -595 bigger than -595? False Which is smaller: 14607/7 or 2088? 14607/7 Is -99 greater than or equal to -96? False Is -1752 bigger than -1772? True Which is bigger: -28 or -139/5? -139/5 Which is smaller: 1 or 2/617? 2/617 Is -1155 smaller than -1155? False Is 10915 less than 10916? True Is -2 >= -50? True Which is bigger: 2 or 57/26? 57/26 Is -1 <= -4163/11? False Which is smaller: -1.549 or 3? -1.549 Is 30/827 > -1? True Is 214 at least 227? False Which is smaller: 975 or 6816/7? 6816/7 Which is greater: 2/15 or -2/199? 2/15 Is -32/3 equal to -10? False Which is smaller: -33491 or -33492? -33492 Is -1/2 > -1827? True Which is greater: -86/125 or 0? 0 Is -10 bigger than -8/23? False Is 5306 != 5306? False Which is smaller: -58 or -40? -58 Is -418/17 > -1? False Is -91 at most -89? True Is 12/53 greater than 1? False Is 6 bigger than 106/15? False Does 3/10 = 14? False Which is bigger: -41 or -32? -32 Is -19102 less than -19101? True Are 0 and -2/85183 non-equal? True Which is smaller: -11 or 1780? -11 Which is greater: 2685 or 21483/8? 21483/8 Is -0.01 bigger than 41? False Is 5329 less than 5328? False Which is smaller: -8/597 or -1? -1 Which is smaller: -2686 or -2684? -2686 Does -26/1503 = 0? False Is -23/97 smaller than 1? True Is 1/1064 equal to 1? False Which is smaller: -424 or -2972/7? -2972/7 Is 3/1939 equal to -1? False Is -7/31 at least 1? False Is 0 greater than or equal to -1/297? True Which is smaller: 4758 or 28543/6? 28543/6 Is 0 at least 12/1795? False Is 130 at most 141? True Which is smaller: 832/129 or 5? 5 Which is smaller: 4/1187 or 1? 4/1187 Is -0.11 > 1/69? False Which is bigger: 0 or 2/7305? 2/7305 Is -6850 >= -34256/5? True Which is smaller: 2/9 or -0.11483? -0.11483 Which is smaller: 4676 or 0? 0 Which is smaller: -2253 or -2254? -2254 Are -34/183 and 1 unequal? True Which is smaller: -2/3 or -55? -55 Which is smaller: 2/9405 or 1? 2/9405 Which is smaller: -6/65 or 1? -6/65 Is -1059 less than -1060? False Which is smaller: 3 or -17? -17 Which is bigger: -5275 or -5272? -5272 Does -1/4 = -145? False Which is bigger: 2170 or 0.1? 2170 Are 3 and -3.8 unequal? True Which is smaller: -2034/11 or -184? -2034/11 Is -473 at most as big as -1893/4? False Are 1438/3 and 478 non-equal? True Which is smaller: -1153 or -1151? -1153 Is -13/125 less than or equal to -1? False Which is greater: -1 or 2/6051? 2/6051 Is -235/17 smaller than -13? True Which is greater: -2888 or 0.6? 0.6 Is 9/34 at least 0? True Which is smaller: 0.1243 or -0.1? -0.1 Which is smaller: -116 or -465/4? -465/4 Which is greater: 0.3 or 0.12? 0.3 Which is greater: 219/160 or 1? 219/160 Is -55 bigger than -818/15? False Which is bigger: 0 or 30/3017? 30/3017 Is -46/29 != -3? True Which is smaller: 380/9 or 43? 380/9 Which is smaller: 17/12 or 2? 17/12 Which is greater: -55 or -53? -53 Which is greater: 1/3 or -1138? 1/3 Which is greater: -339 or -347? -339 Is 18 >= 77/4? False Is 0 at least 7? False Is 21 < 2? False Is 9156 < 9157? True Which is smaller: 0 or -1/427? -1/427 Which is greater: -198 or -186? -186 Which is bigger: 0.3 or 4/2017? 0.3 Which is smaller: 1/16097 or 1? 1/16097 Which is smaller: -529/2 or -266? -266 Which is greater: -6 or -12? -6 Is 3 at least 135? False Is 1 at least 821? False Is 0 at least -56/107? True Do -20/137 and 1 have different values? True Which is smaller: 1/14328 or -1? -1 Which is greater: 63 or -2.1? 63 Which is bigger: 2/39 or 0? 2/39 Which is smaller: -2 or -325? -325 Is 0.2 at least as big as 78? False Is 12/5 at most 2/17? False Is -2/293 < 1? True Which is smaller: 0 or -512/7? -512/7 Which is smaller: 4351 or 4352? 4351 Which is smaller: 4 or 93/37? 93/37 Is -12 at least as big as -223? True Is -166 <= -166? True Which is smaller: -41 or -40? -41 Which is smaller: -2/5 or 8/353? -2/5 Do -27 and -30 have the same value? False Are -8 and 0.1 equal? False Which is greater: 400 or 1994/5? 400 Are 9 and 6 nonequal? True Which is bigger: 0.1 or 4647? 4647 Do 3238/5 and 648 have different values? True Which is smaller: 0 or 453/53? 0 Are 29 and 16 non-equal? True Which is smaller: -2/21 or -1264? -1264 Do -2/9 and 0.231 have different values? True Which is greater: -2076 or -2077? -2076 Which is greater: 13 or -9? 13 Which is greater: -1 or -91/358? -91/358 Which is bigger: -37/146 or 0? 0 Does -37 = -186/5? False Are 2 and -4/3371 non-equal? True Which is smaller: -1464 or -0.05? -1464 Which is smaller: 55 or -128? -128 Which is smaller: 5/2183 or 0? 0 Is -421 smaller than -423? False Is -79 at least as big as 3? False Is 4.6 at least -7? True Is -1 != -2/27981? True Which is bigger: -2/929 or 0? 0 Is -70.4 not equal to 0.1? True Which is greater: -12145 or -12144? -12144 Which is greater: 1/6 or -35/3? 1/6 Is -1 at most as big as 3/386? True Is -2/95 not equal to 1? True Which is smaller: 14 or -45? -45 Which is smaller: 1 or -3? -3 Which is smaller: 104/15 or 7? 104/15 Is -15 at least 3/11? False Which is smaller: 2/43 or 63? 2/43 Which is greater: -1 or -6/199? -6/199 Which is smaller: 13 or 1220? 13 Is 2/719 less than or equal to 1? True Which is smaller: 32 or 33? 32 Which is bigger: -1 or -43/3? -1 Which is bigger: 138 or 123? 138 Are 8911 and 8912 unequal? True Is 0.033 greater than 16.6? False Which is smaller: -26 or 3? -26 Are 110 and 4 unequal? True Do 778 and 779 have the same value? False Which is greater: 487 or 1943/4? 487 Which is greater: 50 or 47? 50 Which is smaller: -72189 or -72188? -72189 Which is greater: -41 or -0.4? -0.4 Which is bigger: -192 or -381/2? -381/2 Do -104 and -104 have the same value? True Which is smaller: -172 or -341/2? -172 Which is bigger: 2808 or 2810? 281
{ "pile_set_name": "DM Mathematics" }
ctor of 25443? True Does 22 divide 16148? True Does 13 divide 55046? False Does 11 divide 1067? True Is 43360 a multiple of 12? False Is 11563 a multiple of 34? False Is 7 a factor of 25? False Is 3 a factor of 3648? True Does 3 divide 163? False Does 14 divide 30831? False Is 2426 a multiple of 27? False Is 127 a factor of 8065? False Is 144 a factor of 100045? False Does 31 divide 6582? False Is 20530 a multiple of 73? False Is 11 a factor of 4213? True Does 13 divide 23530? True Does 4 divide 5361? False Is 55 a factor of 2783? False Is 12464 a multiple of 76? True Is 13 a factor of 130? True Does 40 divide 6040? True Is 2645 a multiple of 25? False Does 8 divide 878? False Is 30 a factor of 138? False Is 70 a multiple of 5? True Is 2674 a multiple of 49? False Is 3 a factor of 908? False Is 631 a multiple of 4? False Is 11 a factor of 1045? True Is 36 a factor of 1365? False Does 21 divide 26741? False Is 1632 a multiple of 10? False Does 120 divide 3840? True Is 3 a factor of 3540? True Is 54 a factor of 5477? False Is 4375 a multiple of 23? False Is 59 a factor of 32627? True Does 11 divide 11389? False Does 22 divide 65428? True Is 121 a factor of 4477? True Does 288 divide 17300? False Does 5 divide 2920? True Is 35 a factor of 7245? True Does 11 divide 6985? True Is 25462 a multiple of 13? False Is 4 a factor of 1588? True Does 84 divide 420? True Is 15003 a multiple of 12? False Does 2 divide 312? True Is 12197 a multiple of 142? False Is 42 a factor of 1403? False Is 33 a factor of 25515? False Is 494 a multiple of 2? True Is 24628 a multiple of 91? False Is 14 a factor of 14434? True Is 40 a factor of 16440? True Is 12 a factor of 96? True Is 9 a factor of 34324? False Does 76 divide 130? False Does 45 divide 2835? True Does 33 divide 13692? False Is 3413 a multiple of 13? False Does 23 divide 11316? True Is 7 a factor of 1785? True Does 2 divide 2247? False Is 73 a factor of 7095? False Does 80 divide 45596? False Is 209750 a multiple of 16? False Is 15 a factor of 40815? True Is 1540 a multiple of 55? True Does 16 divide 74048? True Does 4 divide 736? True Does 8 divide 5008? True Is 77 a factor of 520? False Is 25 a factor of 200? True Does 18 divide 10210? False Does 5 divide 995? True Is 37 a factor of 325? False Is 38 a factor of 3040? True Is 5 a factor of 305? True Does 40 divide 688? False Is 150 a factor of 1650? True Does 19 divide 475? True Is 13392 a multiple of 124? True Is 12 a factor of 372? True Does 13 divide 43901? True Does 39 divide 4686? False Is 1151 a multiple of 16? False Is 55 a factor of 34543? False Is 40 a factor of 1680? True Does 2 divide 22540? True Is 49668 a multiple of 52? False Is 6649 a multiple of 109? True Does 142 divide 19975? False Is 36 a factor of 30229? False Does 18 divide 30? False Does 84 divide 1954? False Is 116 a factor of 6316? False Does 26 divide 1165? False Does 39 divide 468? True Is 137 a factor of 600? False Is 40542 a multiple of 21? False Is 14 a factor of 2910? False Is 47513 a multiple of 173? False Is 454 a multiple of 7? False Does 25 divide 3850? True Is 3 a factor of 33? True Does 22 divide 1804? True Is 59 a multiple of 2? False Does 20 divide 3738? False Is 56 a multiple of 2? True Does 28 divide 353? False Does 156 divide 46119? False Does 52 divide 15340? True Does 8 divide 1223? False Is 93 a multiple of 12? False Is 33348 a multiple of 42? True Is 6564 a multiple of 11? False Does 73 divide 657? True Is 1210 a multiple of 121? True Is 10 a factor of 510? True Does 12 divide 3852? True Does 7 divide 3016? False Is 41 a factor of 205? True Is 22 a factor of 9350? True Does 19 divide 1140? True Is 1080 a multiple of 60? True Does 33 divide 800? False Is 48 a factor of 25622? False Is 26 a factor of 44876? True Is 1091 a multiple of 78? False Does 27 divide 57276? False Is 32 a factor of 1216? True Is 4 a factor of 2023? False Is 33 a factor of 755? False Is 65 a factor of 585? True Does 23 divide 355? False Is 108 a multiple of 18? True Is 250 a factor of 6000? True Is 42990 a multiple of 15? True Is 254 a multiple of 2? True Is 1036 a multiple of 90? False Does 34 divide 3921? False Does 70 divide 618? False Is 72645 a multiple of 48? False Is 5 a factor of 74? False Is 12 a factor of 260? False Does 3 divide 715? False Is 104 a factor of 25208? False Is 39 a factor of 4379? False Does 5 divide 24665? True Is 76 a multiple of 2? True Does 21 divide 9478? False Is 27 a factor of 1053? True Is 52534 a multiple of 127? False Does 2 divide 1585? False Is 62 a factor of 186? True Does 72 divide 7776? True Is 3 a factor of 3232? False Does 25 divide 45525? True Is 18468 a multiple of 96? False Is 3 a factor of 685? False Is 60 a factor of 600? True Is 6 a factor of 233? False Is 24 a factor of 11064? True Is 5 a factor of 1430? True Is 3124 a multiple of 11? True Is 1664 a multiple of 52? True Is 12 a factor of 78336? True Is 36234 a multiple of 18? True Does 104 divide 2843? False Is 15 a factor of 15? True Is 5 a factor of 225? True Is 43 a factor of 5082? False Is 24548 a multiple of 9? False Is 43365 a multiple of 245? True Does 32 divide 1338? False Does 17 divide 82603? True Is 418 a multiple of 11? True Is 2088 a multiple of 36? True Is 48957 a multiple of 20? False Does 35 divide 45317? False Is 112 a factor of 59374? False Is 8295 a multiple of 21? True Is 374 a multiple of 17? True Is 6 a factor of 3928? False Is 2333 a multiple of 25? False Is 10 a factor of 190? True Does 26 divide 6936? False Is 72 a factor of 106773? False Is 2 a factor of 5987? False Is 13 a factor of 9672? True Does 17 divide 533? False Is 8 a factor of 6156? False Does 54 divide 1409? False Is 1393 a multiple of 58? False Is 200 a multiple of 4? True Is 20 a factor of 462? False Does 268 divide 148472? True Is 6207 a multiple of 31? False Does 48 divide 528? True Does 85 divide 2833? False Is 13572 a multiple of 9? True Is 42 a factor of 6107? False Is 1082 a multiple of 17? False Is 27182 a multiple of 46? False Is 11029 a multiple of 20? False Is 46 a factor of 211? False Is 228 a factor of 46512? True Is 2000 a multiple of 20? True Is 19 a factor of 3382? True Is 32 a factor of 661? False Is 4359 a multiple of 11? False Is 25 a factor of 49925? True Does 33 divide 1758? False Does 3 divide 93? True Does 124 divide 87172? True Does 2 divide 338? True Does 96 divide 192? True Does 23 divide 10022? False Is 18 a factor of 367? False Is 43139 a multiple of 5? False Does 17 divide 6239? True Does 5 divide 52? False Is 28 a factor of 3321? False Is 5429 a multiple of 129? False Is 12 a factor of 142? False Does 13 divide 604? False Is 838 a multiple of 25? False Does 7 divide 1057? True Is 224 a multiple of 28? True Is 2515 a multiple of 51? False Does 8 divide 11840? True Is 21 a factor of 1155? True Does 136 divide 6120? True Is 802 a multiple of 4? False Does 23 divide 5970? False Is 10 a factor of 481? False Does 22 divide 118? False Is 784 a multiple of 62? False Is 46054 a multiple of 95? False Is 14 a factor of 28998? False Is 28 a factor of 1232? True Is 130 a factor of 3770? True Does 60 divide 3242? False Does 21 divide 945? True Does 29 divide 3104? False Is 5505 a multiple of 3? True Is 3610 a multiple of 95? True Is 27 a factor of 162? True Does 53 divide 3215? False Does 44 divide 507? False Is 15 a factor of 1155? True Is 6 a factor of 300? True Does 4 divide 1268? True Is 1307 a multiple of 20? False Is 3600 a multiple of 60? True Is 608 a multiple of 32? True Is 12 a factor of 1423? False Is 76 a factor of 1976? True Does 43 divide 11782? True Does 19 divide 45873? False Is 2848 a multiple of 16? True Is 8 a factor of 2048? True Is 12 a factor of 2340? True Is 10 a factor of 2527? False Is 592 a multiple of 28? False Is 6 a factor of 9791? False Is 9 a factor of 225? True Does 19 divide 950? True Is 22 a factor of 845? False Does 16 divide 2827? False Is 30 a factor of 11100? True Is 11 a factor of 14528? False Is 18 a factor of 13500? True Is 2160 a multiple of 18? True Is 52 a factor of 3120? True Does 13 divide 1300? True Is 24 a factor of 1224? True Is 6 a factor of 972? True Is 3807 a multiple of 27? True Is 17412 a multiple of 139? False Does 12 divide 888? Tru
{ "pile_set_name": "DM Mathematics" }
-l - 8 = -3*w, w + 4 = -l + 3*w. Suppose -d + 15 = l*d. Let c be (-17)/(-4) - (-3)/(-12). Is d at most c? True Let g = -7 - -8. Suppose -11 = -t + 3*t - 3*d, t + 4*d - 22 = 0. Suppose 5*k - 18 = 6*x - 3*x, 14 = 4*k - t*x. Which is greater: g or k? k Let q be (4 + -2)*(-2)/(-4). Which is greater: q or 2? 2 Suppose 5*j - 10 = -5*b + 25, -b = 5*j - 15. Let o be 6/(-12) + b/2. Let r = 4 - o. Which is bigger: r or 1? r Let q be (-4)/25*3/(-12). Is 1/3 bigger than q? True Let v = -21 - -10. Let h = 6 + v. Let k = 5 + h. Is k greater than 4? False Let v = 9.9 + -10. Which is smaller: v or -2? -2 Let s be (3/(-4))/(1/(-8)). Let q be (5 - 2) + (-24)/s. Is -5/3 > q? False Let d be 2/(-11) - 2/(-11). Suppose d*b = -3*b - 12. Which is smaller: b or 0? b Let y(p) = -p - 1. Let g be y(0). Let n = -217/4 + 9757/180. Which is smaller: g or n? g Let o = 8/17 - 39/119. Which is bigger: o or -1? o Let s be 14/21 - (-86)/(-21). Let m = -41/14 - s. Which is greater: 2 or m? 2 Let k(v) = 3*v - 23. Let c be k(11). Which is greater: c or 9? c Let o = -2/351 + -1043/1755. Let p = o + -11/15. Is -0.2 <= p? False Suppose 0*a + 18 = 3*a. Let x(c) = -c**2 - 6*c + 1. Let w be x(-6). Let f be (-3)/a*(w + 1). Which is greater: -1/2 or f? -1/2 Suppose 3*b - 3 = 5*d, -b - 3*d - 13 = -0*d. Let a be (5 + -14)*b/(-6). Is -6 < a? False Let w(m) = -16*m + 1. Let k(r) = -r - 1. Let i(a) = -k(a) + w(a). Let j be i(-1). Which is greater: j or 16? j Let s = 0 + 1. Let z be (-26)/8 - s/(-4). Let x(y) = -y**3 - 2*y**2 + 5*y + 2. Let c be x(z). Does c = -5? False Let g be 1/(-8)*(-33 - 2). Let y = g - 369/88. Let q = 0 + 0. Which is smaller: y or q? q Let n(m) = -m**2 - 8*m - 7. Let l be n(-6). Is l at least 4? True Suppose -85*y = -84*y. Which is bigger: -1 or y? y Let w = 0.5 - -5.5. Let u = w + -6.5. Is u at least as big as 1? False Suppose -3*q + 11 = 2. Which is smaller: 0 or q? 0 Suppose 2*h + 4 + 18 = 0. Is h bigger than -10? False Let o be (-4 - (-210)/49) + 1516/(-14). Is o > -107? False Let k(n) = n**2 - 2*n - 5. Let c be k(-2). Are 2 and c equal? False Let o be 6/16*(-4)/6. Let j = -40 + 39.7. Is j greater than o? False Let a = -1.2 + 0.2. Let s = -3.3 - 1.7. Is a bigger than s? True Let x = -1 + 2. Which is smaller: x or -1/10? -1/10 Let s = -48 + 47. Let q be 3/7*4/6. Are q and s non-equal? True Let s = 2.6 + -3. Let b = -28 - -30.4. Let z = s + b. Which is smaller: z or 3? z Let p(v) = -v**3 - 5*v**2 - 4*v + 3. Suppose 1 = -g - 3. Let r be p(g). Which is greater: 4 or r? 4 Suppose -5*u = -w - 2*w + 90, -u + 4*w = 18. Let z be 6/(-21) + u/(-14). Which is greater: 1/2 or z? z Let u = 341 + -337. Let r = 1 + -1. Are u and r non-equal? True Let j = -907 + 22671/25. Is j not equal to 0? True Let c = -33 + 36. Suppose 0*u + 4*u = 20. Which is smaller: c or u? c Suppose -2*s - 3*s + 120 = 0. Let w be (-6)/s + 17/36. Is w at most 0.4? True Let w = -144 + 1149/8. Which is bigger: w or 1? 1 Let m = 25 - 22. Suppose q + 3*x - 15 = 0, 2*q - 5*x = m + 5. Is 10 at most as big as q? False Let s = 0 - 5. Let d = -5.8 - s. Which is smaller: d or -1? -1 Suppose 0 = j - 2, -2*b + 0 = -3*j + 12. Let d be (1 - (-1)/(-3))*b. Let s be (-1)/2*d/2. Which is bigger: s or 2? 2 Suppose -4*s + 13 = -3. Suppose 6*b + 4*r = 2*b + 4, -4*r = -4*b + s. Suppose 5*n - 25 = -2*c, 10 = 4*c + 2*n - 0. Are b and c equal? False Let c = -1871/5032 - 2/629. Which is smaller: c or 0? c Let s(x) = x**3 - 5*x**2 + 12*x - 16. Let z be s(5). Which is bigger: 45 or z? 45 Suppose -4*a = -3*p - p + 44, 4*a + 20 = 0. Let c = 3 - p. Suppose t = n - 7, 3*t - 2*n + 11 + 6 = 0. Are c and t unequal? False Suppose 3*r - 12 = 3, -4*p = 3*r - 27. Suppose -p*v + 5*v - 4 = 0. Let s be (1 - v)*-1*1. Which is smaller: 0 or s? 0 Let z = 6 - 6. Suppose -3*k - 2*k - 5 = z. Let n be 3/6 + (-8)/6. Is k at least as big as n? False Suppose -3*d = 29 - 8. Let k(q) = -q**3 - 5*q**2 - 3*q - 2. Let m be k(-4). Is d not equal to m? True Let p be (-1 - -2)*(1 + -22). Let r(v) = -v**3 + 5*v**2 + v + 8. Let h be r(6). Which is smaller: h or p? h Let x be (2 + -4)*(10 + -6). Is -7 at most as big as x? False Suppose 0 = 4*y - 2*c + 2, 4*y = 3*c - 4 + 1. Is y < 1/5? True Let b = -62 + 44. Let i(p) = p + 13. Let n be i(b). Do n and -5 have the same value? True Let c = -2.8 + 3. Let b = 2.08 + -2. Let q = b + -1.08. Which is greater: c or q? c Let j(d) = 4*d - 5*d - 4 + 0. Suppose 5*a + 3*y + 14 - 2 = 0, -a = -2*y + 5. Let w be j(a). Is -1/4 >= w? True Suppose 6*k + 8 = 2*k. Is k > -2? False Let m = 0.048 + 0.052. Is 9 at most m? False Suppose 1 = -k - 1. Is k less than -0.01? True Let d be (-9)/(-12) - 1 - 57/12. Is -6 smaller than d? True Let n be -1 - -1 - 12/(-2). Let c be 2/4*n + -2. Let s = 1.8 - 2. Is s bigger than c? False Let p = 1 - -5. Let n(s) = -s**2 + 5*s + 4. Let t be n(p). Is t greater than -2? False Suppose 4*r + 4 = 12. Is 6/5 bigger than r? False Let v be 2 + 0 - (0 - 0). Let k = -70 + 65.1. Let b = -5 - k. Which is bigger: b or v? v Let g be -5 - -7 - (0 - -1). Let b = 4 + g. Suppose k = 2*n - 1, -6*k + 5*k - 1 = b*n. Which is smaller: n or 3/7? n Let h = -6 + 6.1. Let j = h + -0.2. Let s = 827/5 - 166. Which is smaller: s or j? s Let d = 39 + -38.9. Is d greater than -11? True Let z = 12.11 + -12. Does z = 0.1? False Let r be 4 + (0 - 3) - 1. Which is smaller: -3/4 or r? -3/4 Let q = 1.8 + -1.3. Let a = 18.5 + q. Is -1 less than a? True Suppose -3*m + 11 = -10. Let h = 6 - m. Which is smaller: h or 0? h Let t(z) = z**3 + 9*z**2 - 10*z + 1. Let k be t(-10). Is 11 greater than or equal to k? True Suppose 4*x = -111 - 161. Is x >= -68? True Let j = -11/558 - 1/124. Which is smaller: 0.1 or j? j Let z = -19/3 - -86/15. Which is smaller: -1 or z? -1 Suppose 5*w - c + 32 = -4, -4*c - 40 = 3*w. Let l be (-12)/8*w/(-6). Which is smaller: -1 or l? l Let y = -14/25 + 32/75. Let d = 55 + -54. Is d at least y? True Let u(o) = o**2 + 14*o - 53. Let d be u(-14). Which is bigger: -103/2 or d? -103/2 Suppose -10 = -r - 4*r. Suppose -5*i + 0 = r*f - 5, -5*i = 5. Suppose 0 = -2*b + 4, 0 = c + b - f + 1. Is c smaller than 2/3? False Let k = 14 + -43. Which is smaller: -30 or k? -30 Suppose 5*w - 5 = -0*w. Let p(c) = -c**2 + 11*c - 5. Let y be p(10). Suppose -y*l - 1 = 4. Is w at least l? True Let b(k) = k**2 + 5*k - 12. Let p be b(-6). Is p greater than -7? True Let b(d) = -4*d - 6. Let n be b(-8). Suppose -5*u + 14 = -n. Let j(x) = -x**3 + 9*x**2 - 9*x + 7. Let s be j(u). Which is greater: 2/7 or s? 2/7 Suppose 2*y + 5*j + 63 = 0, 4*y + 134 = -5*j + 3*j. Are y and -33 equal? False Let h = 84 + -231. Let u = 2198/15 + h. Let t = -2/15 + u. Which is greater: -2 or t? t Let q be 3 + -3 + 0 + 1. Let v(k) = 2*k**2 + 0*k**2 + k**2. Let b be v(q). Is 3 at least b? True Suppose 3*q + 21 = 5*z, q + 3 = z - 0. Let y(m) = 7*m**2 + m + 1. Let s be y(-1). Are z and s equal? False Let y = 2 + -5. Let l be -2*(-3)/3 + -3. Let n = -4 - l. Is n at most as big as y? True Let j = -10 - -15/2. Is -0.2 greater than j? True Suppose -6 - 3 = -3*q - 3*d, -2*d - 24 = -4*q. Suppose -3*j = -q - 4. Let h be (4 - j)/((-2)/2). Which is bigger: -2 or h? h Let z(y) be the second derivative of -y**3/6 + 5*y**2 + 3*y. Let u be z(10). Which is smaller: u or -1/4? -1/4 Suppose -4*m + 4*l + 8 = 0, 0*l = -l + 3. Let u = 0 + m. Let w = -5 + u. Is 2 less than w? False Let x = -3 - -3. Is -1/6 greater than x? False Suppose -m - 137 = -5*i, 5*i - 4*m = 143 - 0. Is i <= 28? True Suppose 0 = -5*b + 2*k - 7, 4*b = 5*k - 10 + 1. Suppose i - 6 = -m + 2, 5*i = 3*m. Let g be 0/(2/(-3)*i). Which is smaller: g or b? b Let g be (15 + -3)*20/14. Let z = g + -358/21. Which is smaller: z or 0? 0 Let i(c) = -c**3 + c**2 + 1. Let r be i(2). Let y be 1/r - -1 - 1. Does y = 0.3? False Suppose v + 0*q + 3*q = 10, 8 = 4*v - 4*q. Let l = -3 + v. Is 1 less than l? False Let g be 7/(21/50) - 3. Let y = g + -14. Let f be ((-2)/(-6))/((-2)/(-6)). Which is smaller: f or y? y Let o = -0.074 - 4.826. Let w = o - -5. Is -3 at most as big as w? True Let u(d) = -2*d. Let j be u(-3). Suppose j*b = b - 10. Are b and -6/5 non-equal? True Let o = -6 - -5. Let x = 1.1 + -1.2. Which is smaller: x or o? o Let a = 19 - 21. Which is bigger: 1/6 or a? 1/6 Suppose 5*s + 3*p + 1 = 0, 7 + 0 = -3*s - 5*p. Let j be 2 - (2 + 0) - -1.
{ "pile_set_name": "DM Mathematics" }
t k be a(-7). Let w be (y - k)*(3 + -2). What is the greatest common divisor of 2 and w? 1 Let l(g) = -2*g + 8. Let w be l(-8). Let q = 35 - 38. Let p be 0/q - (7 - 10). Calculate the highest common factor of w and p. 3 Let i(n) = n**2 - 4*n + 8. Let f(s) = -s**3 - 14*s**2 + 14*s - 10. Let p be f(-15). Let y be i(p). What is the greatest common factor of 39 and y? 13 Let n(y) = 2*y - 7. Suppose -12 = -2*g - 2*k, g + 4 - 7 = 2*k. Let p be (0 + g)*(2 + -1). Let q be n(p). Calculate the greatest common divisor of q and 2. 1 Suppose 2*v - 43 = -c, -5*c = -3*v + 6*v - 75. Let u(n) = n**3 - 12*n**2 - 35*n + 30. Let z be u(15). What is the greatest common factor of v and z? 20 Let y be 2/4*(-2 - -62). Let t = -393 - -468. What is the highest common divisor of t and y? 15 Suppose -5*v + 4*x = -880, 0 = x - 8 + 3. Calculate the highest common divisor of 100 and v. 20 Let b be 3 + (1 - -2)*-9. Let o = b - -31. Let u be 65 + -5 - 3*-1. Calculate the greatest common divisor of u and o. 7 Let b(d) = -d**3 + 2*d**2 - d. Let t be b(-2). Suppose 0 = 4*a + 2*a. Let k be (30 - (a + 0))*6. What is the greatest common factor of t and k? 18 Let c = 1349 + -1290. Calculate the greatest common divisor of 1475 and c. 59 Let b = 174 + -43. Let h = 31 + b. What is the highest common divisor of 18 and h? 18 Let i(v) = v**2 - 12*v - 94. Let l be i(21). Calculate the highest common divisor of l and 95. 95 Suppose 0 = 3*o + 5 - 44. Suppose w + 234 = 3*r - 37, w + 89 = r. What is the greatest common divisor of r and o? 13 Let s = -507 + 1172. What is the highest common divisor of s and 19? 19 Let d = -61 + 68. Suppose d*y - 231 = 154. What is the greatest common divisor of y and 5? 5 Suppose -5*s - 5 = -3*d - 48, 2*d + 5*s + 12 = 0. Let u(y) = -5*y - 35. Let k be u(d). What is the highest common divisor of 60 and k? 20 Suppose -5*r - 42 = 2*u - 249, -125 = -3*r - u. Let f = 47 + r. Calculate the highest common factor of 18 and f. 18 Let m = 284 - 264. Suppose -n = 5*o - 50, 3*o - 33 + 3 = 3*n. Calculate the highest common factor of o and m. 10 Let i = -24 - -37. Calculate the highest common divisor of i and 416. 13 Let n(o) = 6 + 4 - 5 - o**2 - 7*o + 3*o**2. Let m be n(4). What is the greatest common divisor of m and 81? 9 Let x = -380 + 233. Let c = -107 - x. What is the greatest common factor of c and 24? 8 Let u(t) = 92*t + 8. Let o be u(4). Suppose -638 - o = -6*b. Calculate the greatest common divisor of 13 and b. 13 Suppose 4*t - t = 36. Let v be (2 + -2)/(1 + 1). Let i be -2*(v + -1 + 9/(-3)). Calculate the greatest common divisor of i and t. 4 Suppose -4*m - 465 = -k, 0*k - 4*k - 3*m = -1936. Calculate the greatest common factor of 74 and k. 37 Let h(z) = 2*z + 2. Let q be h(2). Suppose 2*u = 15*u - 39. What is the highest common divisor of u and q? 3 Let w = 18 + 27. Suppose 0 = -3*a + a + 2. Let x(b) = 14*b**2 + 1. Let l be x(a). Calculate the greatest common divisor of l and w. 15 Let w(u) = -37*u + 604. Let s be w(16). Calculate the highest common factor of 3072 and s. 12 Suppose -2*t + 68 = 4*p - 24, 5*p - 3*t = 126. Let w be -3*(-1 + (-1)/3). Suppose w*u - u = 24. What is the highest common divisor of u and p? 8 Let m be (-12 + -92)/((-4)/8). Calculate the greatest common factor of 143 and m. 13 Suppose 3*l + 2*m + 2810 = 1022, -4*m = 12. Let r be 0 + 0 - 2/1. Let f be r/(-6)*l/(-9). What is the highest common factor of 66 and f? 22 Suppose 0*s - y = s - 20, 84 = 4*s + 5*y. Let c(x) = -x**3 + 11*x**2 - 4*x + 2. Let d be c(9). What is the greatest common factor of s and d? 16 Let b be 0 + 0 - (4 + 416)/(-7). Suppose -68 = -4*o - 20. Calculate the greatest common factor of o and b. 12 Let i be (663/68)/((-5)/((-420)/9)). Calculate the greatest common factor of 208 and i. 13 Let i(k) = 32*k + 79. Let o be i(-2). Calculate the highest common factor of o and 345. 15 Let c(z) = 11*z + 2. Let t be c(7). Suppose -r - 3*i - 44 = 0, -5*r + 2*i - 262 = 3*i. Let y = t + r. What is the greatest common divisor of y and 13? 13 Let u = 273 - 188. Let s be ((-56)/(-5))/(17/u). Calculate the greatest common factor of s and 84. 28 Let j = 13 + -16. Let o(r) = -39*r - 1. Let p(i) = 77*i + 2. Let b(u) = j*p(u) - 5*o(u). Let c be b(-1). What is the greatest common factor of c and 14? 7 Let x(l) = l + 4. Suppose -5*v + 5*w = 10, 2*v + 2*w - 6 = 6. Let s be x(v). Calculate the greatest common factor of 6 and s. 6 Let c(q) = q**3 + 8*q**2 + 13*q + 14. Let n be c(-5). What is the highest common factor of 42 and n? 6 Let a be 8/(-20)*1*25. Let c = -13 - a. Let z be 190/c*6/(-4). Calculate the greatest common divisor of 38 and z. 19 Let i = 10 + -7. Suppose -5*v - 3*l = 8 - 23, -3*v - i*l + 3 = 0. Let q be (-26)/(-117) + (-428)/(-18). What is the highest common factor of q and v? 6 Suppose 0 = 3*h - 568 + 208. What is the highest common divisor of h and 10? 10 Let i(x) = -3*x - 6. Let y be i(-2). Suppose 6*n - 2*n - 40 = y. What is the highest common factor of 50 and n? 10 Suppose 5*l - 4*m = 2252, -2*l - 5*m + 192 + 689 = 0. Calculate the greatest common factor of l and 16. 16 Suppose 0 = u + n - 27, 4*u - 3*n = -u + 103. Let o = -19 + u. Calculate the highest common divisor of o and 12. 4 Suppose 8*p - 5396 = 1204. Calculate the greatest common divisor of p and 15. 15 Let c = 23 + -12. Let b be c*(15 - 4 - 4). What is the highest common factor of b and 11? 11 Suppose 0 = -s - 3*s + 8. Suppose 0*c = 2*c + 10, 15 = 4*a + 5*c. What is the highest common divisor of a and s? 2 Suppose -2*g = -4*g. Let x be (g + -2)*(10 + -4). Let a be 1 + (0 - 4) - x. Calculate the highest common divisor of a and 18. 9 Let y(u) = -186*u + 1. Let m be y(-1). Suppose t = 2*o + 12, -o - 3 = -t + 7. Suppose -6*a + t*a = 34. Calculate the highest common divisor of m and a. 17 Suppose -4*i = -17 - 67. What is the greatest common divisor of 35 and i? 7 Suppose 14 = -11*h + 69. Calculate the greatest common factor of 135 and h. 5 Let v = 120 - 96. What is the highest common divisor of v and 1584? 24 Let j(r) = 4*r**2 - 41*r - 89. Let w be j(19). What is the highest common factor of w and 32? 32 Let t(w) = -w**2 + 25*w - 102. Let y be t(15). Let b(h) = -h**3 - 4*h**2 + 3*h + 2. Let i be b(-5). What is the highest common divisor of i and y? 12 Let h = -7203 + 7247. Let k = -30 + 52. What is the highest common divisor of k and h? 22 Let i = -91 - -165. Let v(m) = 276*m + 4. Let l be v(2). Let y be l/3 - (-15)/(-45). Calculate the highest common divisor of i and y. 37 Let q(s) = -s**2 - 7*s - 1. Let c be q(-2). Suppose -2*n + 3*w + 2*w + 12 = 0, 4*w = -2*n - 6. What is the greatest common divisor of n and c? 1 Let x(y) = y**3 - y**2 - 6*y. Let z be x(-2). Suppose z = 9*i - 141 - 12. What is the greatest common factor of 85 and i? 17 Let o be -45*1*(-16)/((-16)/(-21)). Calculate the greatest common factor of 35 and o. 35 Let t be (-15)/6*-2 - (5 - 7). Let v = -28 + 49. Calculate the greatest common divisor of v and t. 7 Suppose 412*d = 406*d + 219 + 837. Suppose -4*c = -0*c + 4, 0 = -3*z - 5*c + 61. What is the greatest common factor of d and z? 22 Let g be -18*((-148)/(-36) - 9). Calculate the greatest common divisor of 77 and g. 11 Let v(y) = 13*y**2 - 14*y + 48. Let h be v(3). What is the highest common divisor of 41 and h? 41 Let y(r) = 9*r + 1. Suppose 3*a + 4 = 7*a. Let s be y(a). Let u(n) = -n**3 - 11*n**2 - 11*n. Let i be u(-10). What is the highest common divisor of i and s? 10 Let w = 50 + 15. Calculate the greatest common factor of 26 and w. 13 Let f = 3 - 0. Suppose n + 1 + f = 0. Let a be (-10)/n + 6/(-4). What is the greatest common factor of a and 6? 1 Let i be -8*4/24*(-1 + -2). Let z(k) = -4*k - 4. Let y be z(-3). Let b = 9 - y. Calculate the greatest common divisor of b and i. 1 Let j = 819 + -609. Let g(l) = -l**2 - 11*l. Let u be g(-5). Calculate the highest common divisor of u and j. 30 Suppose -25*m = -1094 - 5206. What is the highest common divisor of m and 288? 36 Let r(o) = -7*o + 36. Let l be r(5). Calculate the highest common divisor of 61 and l. 1 Suppose 68*m - 754 = 39*m. Suppose -39 = 4*h - 5*h. Calculate the highest common divisor of h and m. 13 Suppose -2*t + 196 = 5*k, 2*k - 2*t - 101 = -17. What is the highest common divisor of k and 180? 20 Let v be ((-1)/(21/9))/(3/(-63)). Calcu
{ "pile_set_name": "DM Mathematics" }
1 Let p(q) = 5*q**2 - 6*q - 40. Let b(x) = -3*x**2 + 3*x + 1. Let n(o) = -3*b(o) - p(o). Let c(j) = -2*j**2 + 2*j - 19. Determine 7*c(m) + 4*n(m). 2*m**2 + 2*m + 15 Let k(s) = -4*s**3 - 18*s**2 + s + 1592. Let r(a) = -3*a**3 - 12*a**2 + 1591. Calculate 2*k(t) - 3*r(t). t**3 + 2*t - 1589 Let z(g) = 23*g**3 - 15*g**2 + 5*g + 28. Let v(l) = 95*l**3 - 62*l**2 + 21*l + 111. What is 6*v(q) - 25*z(q)? -5*q**3 + 3*q**2 + q - 34 Suppose -29*u - 19*u + 63 = -27*u. Let n(b) = 10*b. Let j(c) be the second derivative of 0 - 5/6*c**3 + 3*c + 0*c**2. Give u*n(k) + 7*j(k). -5*k Suppose j - 2*c - 9 = 0, -15*j - c + 41 = -12*j. Let z(d) = -7*d**3 - 8*d. Let q(p) = 3*p**3 + 4*p. Give j*q(o) + 6*z(o). -3*o**3 + 4*o Let x(l) = 5*l**2 - 2. Let q(o) = -4*o**3 + 5*o**2 - 15*o - 7. What is -q(a) + x(a)? 4*a**3 + 15*a + 5 Let i(p) = -11*p - 11. Suppose 6*z = 8 + 4. Suppose 7*o = 5*o + z. Let c(q) = -o - q - 4 + 3 - q. What is -34*c(h) + 6*i(h)? 2*h + 2 Let y(a) = -a**3 + 8*a**2 - 206*a + 4. Let l(g) = -g**3 - 4*g**2 - 2. Determine 2*l(h) + y(h). -3*h**3 - 206*h Let i(t) = t**2 - 3*t. Let n be i(-7). Let a(f) = 4 - n*f - 2*f**3 + 70*f - 2*f**2. Let o(x) = -3*x**3 - 2*x**2 + 5. Calculate 4*a(v) - 3*o(v). v**3 - 2*v**2 + 1 Let c = -16759 - -16753. Let g(q) = q**2 - 2. Let f(j) = -3*j**2 + 5*j - 2. Let s(h) = h**2 - 2*h + 1. Let o(y) = -2*f(y) - 5*s(y). What is c*o(d) + 3*g(d)? -3*d**2 Let w(n) = n**2 - 5*n - 12. Let j be w(7). Let a(q) = 0*q**j + 3 + 11*q**2 + 2*q**3 - 14*q**2 - q. Let y(f) = -f + 1. Calculate -a(s) + 3*y(s). -2*s**3 + 3*s**2 - 2*s Let b(f) = 5*f**2 - 153*f - 15. Let n(q) = -4*q**2 + 155*q + 12. Determine 3*b(x) + 4*n(x). -x**2 + 161*x + 3 Suppose 0 = 5*r - r + 4. Let x(b) = 0*b + 89 - 46 - 42 - b. Let f(v) = 4*v - 2. Let m(s) = r*f(s) - 3*x(s). Let j(u) = 5*u + 6. Give -j(l) - 6*m(l). l Let f(m) = m - 1. Let h(j) = j**2 + 147*j - 924. Let b be h(6). Let s(d) = d. Give b*s(l) + f(l). -5*l - 1 Let b(m) = 18797779*m**3 + 68530*m**2 + 13706*m - 13706. Let c(f) = 6858*f**3 + 25*f**2 + 5*f - 5. What is -5*b(s) + 13706*c(s)? 6853*s**3 Let q(i) = 23*i**3 - 6*i**2 + 18*i + 19. Let w(u) = u**3 - u**2 + 3*u - 1. Give -q(t) + 6*w(t). -17*t**3 - 25 Let m(y) = 3*y**2 - 16. Suppose 2*u + 2*g = -6 + 18, 5*u + 30 = 7*g. Let s(a) = 1. Calculate u*m(w) + 3*s(w). 3*w**2 - 13 Let i(o) = -16*o**2 + 6*o - 45. Let d(j) = -j. Determine 6*d(x) + i(x). -16*x**2 - 45 Suppose 0 = -4*i - 5*s + 11, -2*s - 116 = -2*i - 106. Let k(p) = -p**3 + p + 1. Let u(z) = -5*z**3 + z**2 + 2*z + 4. What is i*k(a) - u(a)? a**3 - a**2 + 2*a Let u(k) = -12*k**2 - 4*k - 1. Let r(q) = 29*q**2 + 8*q + 1. What is -4*r(a) - 9*u(a)? -8*a**2 + 4*a + 5 Let c(s) = 16. Let p(x) = -143. Let b(r) = 9*c(r) + p(r). Suppose 0 = -2*n + 11 + 1. Let h(j) = 3*j - 3. Calculate n*b(g) + h(g). 3*g + 3 Let y(m) be the first derivative of m**3/3 - m - 3. Let a be 4/(-14)*(-55 - -48) + 6/(-6). Let d(l) = -8*l**2 + 16. Determine a*d(q) + 16*y(q). 8*q**2 Let k(z) = -2*z**2 - 3*z + 2. Let i(s) be the first derivative of 109 + 1/2*s**2 - s. Calculate 3*i(d) + k(d). -2*d**2 - 1 Let k(o) = 5*o**2 + 6*o + 6. Suppose 5*j - 1 = m + 12, m + 2*j - 8 = 0. Let z(a) = -3*a - a**m + 12*a - 10*a - 1. Calculate -k(y) - 6*z(y). y**2 Let c(u) = -8*u**2 + 2*u - 358 + 4*u + 362. Let b = -46 + 40. Let j = 7 + b. Let h(n) = n**2 - n - 1. Determine j*c(x) + 6*h(x). -2*x**2 - 2 Let k(t) = -181*t + 1012. Let n(y) = 253*y - 1418. What is 17*k(p) + 12*n(p)? -41*p + 188 Let h(u) = u - 1. Let g(i) = 98*i - 84. Suppose -3*n = 5*j - 2, -n + 3 = 31*j - 27*j. Determine n*g(d) + 84*h(d). -14*d Let h(l) = 8*l + l + 3291 - 7*l**2 - 12*l**2 - 3291. Let j(w) = -10*w**2 + 4*w. Give -3*h(p) + 7*j(p). -13*p**2 + p Let g(u) = 4*u**2 - 30*u - 9. Let a(v) = -v**2 + 29*v + 8. Calculate 4*a(t) + 3*g(t). 8*t**2 + 26*t + 5 Suppose -3*f + 2 = 2*h, -18*h = -f - 15*h - 25. Let m(d) = -4*d**2 - 8. Let n(q) = -5*q**2 - q - 9. Calculate f*m(z) + 3*n(z). z**2 - 3*z + 5 Let s = 5369 - 5363. Let f(r) = 4*r**2 + 8*r - 11. Let k(m) = -2*m**2 - 4*m + 6. Give s*f(n) + 11*k(n). 2*n**2 + 4*n Let a(p) = -999*p**2 - 22*p + 16. Let v(i) = -333*i**2 - 8*i + 6. Give -3*a(x) + 8*v(x). 333*x**2 + 2*x Let c(u) = -3*u**2 + 4*u + 2667. Let y(p) = 11*p**2 - 13*p - 8004. Determine -7*c(o) - 2*y(o). -o**2 - 2*o - 2661 Let q(t) = 2*t**2 - 4*t - 3. Let a(b) = 4*b**2 - 9*b - 7. Let v be (32 - 27)/(1/4). Suppose v + 18 = 19*o. Determine o*a(m) - 5*q(m). -2*m**2 + 2*m + 1 Let t(f) = 148*f**3 - 48*f**2 + 5*f. Let d(g) = 146*g**3 - 52*g**2 + 6*g. Give 5*d(q) - 6*t(q). -158*q**3 + 28*q**2 Let m(g) = -g**3 - g**2. Let f(k) = 7*k**3 + 6*k**2 + 20. Let a be 0/1 - (-5)/(-40)*(2 + -10). Calculate a*f(i) + 6*m(i). i**3 + 20 Let p(k) = 10*k**3 - k**2 + 3*k + 3. Let w be (6/8)/(-30 + 2340/80). Let y(m) = m**3 - m**2 + m + 1. Give w*p(g) + 3*y(g). -7*g**3 - 2*g**2 Let c(b) = -2*b + 9. Let g(t) = -3774*t + 612. What is -68*c(h) + g(h)? -3638*h Let c(j) = -9*j**2 - j + 5. Let y(w) = 55*w**2 + 70*w - 30. Give 7*c(d) + y(d). -8*d**2 + 63*d + 5 Let b(i) be the first derivative of -11*i**4/4 + 13*i**3/3 + 9*i**2/2 - 4916. Let l(u) = 5*u**3 - 7*u**2 - 4*u. Determine -4*b(y) - 9*l(y). -y**3 + 11*y**2 Let i(v) = 17873*v**2 + 2*v - 8931*v**2 - 8935*v**2 + 2. Let z(f) = 8*f**2 + f + 2. Determine 2*i(n) - 3*z(n). -10*n**2 + n - 2 Let g = -277 + 278. Let n(h) = 3*h**2 - 3. Suppose 6*y + 511 = 493. Let v(w) = w**3 + w**2 - 1. What is g*n(s) + y*v(s)? -3*s**3 Let x(l) = -9*l**2 - 3*l - 1. Let d(s) = 14*s**2 + 5*s + 1. Suppose 58*t = 20*t + 190. What is t*d(a) + 8*x(a)? -2*a**2 + a - 3 Let b(j) = 45*j + 24. Let d = -633 + 643. Let f(p) = 16*p - 15*p - 5 - d*p. Determine -5*b(a) - 24*f(a). -9*a Let k(s) = 8*s**2 - 5*s + 26. Let h(i) = -10*i**2 + 6*i - 26. What is -5*h(x) - 6*k(x)? 2*x**2 - 26 Let c(r) = -8*r**3 + 3*r + 10. Suppose -96*b - 6 = -3*q - 95*b, -45 = 5*b. Let y(p) = p**3 - 1. Calculate q*c(k) - 6*y(k). 2*k**3 - 3*k - 4 Let a(s) = 2*s**3 + 6*s**2 + 5*s - 7. Suppose 4279 + 4356 = 11*w. Let l = -791 + w. Let n(r) = -2*r**3 - 7*r**2 - 6*r + 8. Calculate l*n(p) - 7*a(p). -2*p**3 + p + 1 Let i(p) = 2*p - 5. Let r(f) = -5*f + 16. Let l be 6 - 6*(-5)/15. What is l*i(v) + 3*r(v)? v + 8 Let w(z) = 23*z + 3. Let i(f) = -4389*f - 15. Determine -i(p) - 5*w(p). 4274*p Suppose -40*q + 180*q = 31 + 109. Let a(t) = -3*t - 12. Let f(o) = -1. What is q*a(i) - 12*f(i)? -3*i Let m(q) = q - 1. Suppose -3*v = 98 - 320. Let z = -50 + v. Let a(l) = -20*l + 24. Let p = -47648 + 47649. Determine p*a(t) + z*m(t). 4*t Suppose -d + 5*d - 144 = 0. Let s(r) = r**2 - r. Let f be (3/2)/(18/24) - 5. Let a(m) = 15*m**2 - 12*m. Calculate d*s(h) + f*a(h). -9*h**2 Let a(g) = -2*g + 2. Suppose 697 + 721 = -170*p + 568. Let q(f) = 3*f - 5. Determine p*a(m) - 3*q(m). m + 5 Let d(z) = -54*z + 2. Let f(n) = 116*n - 5. What is 9*d(p) + 4*f(p)? -22*p - 2 Let x(g) = 137*g - 3*g**2 + 5*g**3 + 3 + 153*g - 293*g. Let z(l) = l**2 + 1. Let h(j) = 7*j**2 + j + 5. Let c(o) = -h(o) + 6*z(o). Determine -3*c(w) + x(w). 5*w**3 Let l(t) = 2*t**2 + 2*t + 1. Suppose 97*j - 101*j + 16 = -3*p, 4*p = 3*j - 19. Let g(o) = -o**2 - o - 1. Give p*g(h) - 3*l(h). -2*h**2 - 2*h + 1 Let x(i) = -2667*i - 39. Let w(l) = -2666*l - 49. Give -4*w(d) + 5*x(d). -2671*d + 1 Let a(l) = -5*l - 2. Let m(f) = -4*f - 60. Give -2*a(w) + 2*m(w). 2*w - 116 Let v(g) = -13*g + 1. Let b(k) = k. Suppose 5*w - 52 = -2*f, -8 = -6*w + 2*w. Suppose 32*p + 11 = f*p. Give p*v(c) - 2*b(c). 11*c - 1 Suppose -44 = 2*x - 5*j - 22, 9 = -5*x + j. Let q(f) = -2*f**2 - f + 5. Let y(t) = -t + 1. What is x*q(s) + 5*y(s)? 2*s**2 - 4*s Let c(i) = -11*i**2 + 21*i - 1089. Let b(k) = 18*k**2 - 35*k + 2177. What is 6*b(s) + 10*c(s)? -2*s**2 + 2172 Suppose a - 1 = 0, -2*x = 3*a + 2*a - 183. Let h = x - 88. Suppose -3*c = 3, -q + 4*c = -3 - 5. Let u(d) = -d. Let z(k) = 2*k + 1. Determine h*z(s) + q*u(s). -2*s + 1 Let k(t) = -180*t**2 + 6*t + 12. Let j(i) = -i**2 + i + 2. Calculate -6*j(r) + k(r). -174*r**2 Let v(d) = 2*d**2 - 7. Let k(t) = -27*t**2 + t - 81 + 80 + 16 + 22*t**2. Determine 3*k(y) + 7*v(y). -y**2 + 3*y - 4 Let v(s) = -21*s**2 + 7*s - 7. Let z(b) = 14*b**2 - 5*b + 5. Suppose 276 = -2*l - 3*t + 2*t, -2*l - 270 = 4*t. Let d = l - -146. Determine d*z(o) + 5*v(o). -7*o**2 Let o(x) = 23*x**2 + 4*x + 6. Let l(u) = u**2 + u +
{ "pile_set_name": "DM Mathematics" }
digit of 2523? 3 What is the hundreds digit of 6879? 8 What is the thousands digit of 25324? 5 What is the hundreds digit of 3348? 3 What is the tens digit of 9015? 1 What is the units digit of 1251? 1 What is the units digit of 363? 3 What is the tens digit of 6057? 5 What is the hundreds digit of 41417? 4 What is the tens digit of 49755? 5 What is the units digit of 607? 7 What is the units digit of 40473? 3 What is the hundreds digit of 7066? 0 What is the units digit of 44880? 0 What is the units digit of 5602? 2 What is the tens digit of 15655? 5 What is the units digit of 82915? 5 What is the ten thousands digit of 79552? 7 What is the units digit of 1216? 6 What is the tens digit of 198? 9 What is the hundreds digit of 9796? 7 What is the thousands digit of 10981? 0 What is the units digit of 4861? 1 What is the hundreds digit of 112007? 0 What is the thousands digit of 2263? 2 What is the units digit of 3869? 9 What is the units digit of 5119? 9 What is the hundreds digit of 924? 9 What is the tens digit of 1097? 9 What is the thousands digit of 7642? 7 What is the thousands digit of 1682? 1 What is the thousands digit of 18699? 8 What is the thousands digit of 62802? 2 What is the ten thousands digit of 34671? 3 What is the units digit of 355? 5 What is the tens digit of 1429? 2 What is the thousands digit of 5210? 5 What is the thousands digit of 69848? 9 What is the tens digit of 2953? 5 What is the units digit of 2887? 7 What is the units digit of 1153? 3 What is the hundreds digit of 8043? 0 What is the tens digit of 367? 6 What is the ten thousands digit of 22953? 2 What is the thousands digit of 53567? 3 What is the tens digit of 2705? 0 What is the tens digit of 821? 2 What is the tens digit of 888? 8 What is the ten thousands digit of 11221? 1 What is the units digit of 1203? 3 What is the hundreds digit of 8894? 8 What is the units digit of 420? 0 What is the units digit of 332? 2 What is the tens digit of 1670? 7 What is the hundreds digit of 1008? 0 What is the tens digit of 127? 2 What is the thousands digit of 4718? 4 What is the units digit of 1260? 0 What is the hundreds digit of 23316? 3 What is the tens digit of 874? 7 What is the tens digit of 1297? 9 What is the thousands digit of 23185? 3 What is the thousands digit of 2112? 2 What is the units digit of 26565? 5 What is the hundreds digit of 4468? 4 What is the units digit of 3252? 2 What is the units digit of 24871? 1 What is the thousands digit of 8636? 8 What is the hundreds digit of 1120? 1 What is the hundreds digit of 8514? 5 What is the hundreds digit of 54026? 0 What is the thousands digit of 2866? 2 What is the units digit of 845? 5 What is the units digit of 917? 7 What is the hundreds digit of 1788? 7 What is the hundred thousands digit of 125929? 1 What is the thousands digit of 10488? 0 What is the units digit of 2008? 8 What is the units digit of 803? 3 What is the units digit of 52955? 5 What is the units digit of 112000? 0 What is the tens digit of 3904? 0 What is the units digit of 10786? 6 What is the ten thousands digit of 60007? 6 What is the tens digit of 1977? 7 What is the units digit of 605? 5 What is the thousands digit of 2597? 2 What is the tens digit of 60189? 8 What is the units digit of 1341? 1 What is the thousands digit of 9104? 9 What is the tens digit of 833? 3 What is the thousands digit of 5749? 5 What is the hundreds digit of 13062? 0 What is the units digit of 2794? 4 What is the units digit of 3424? 4 What is the units digit of 777? 7 What is the tens digit of 3834? 3 What is the hundreds digit of 290? 2 What is the tens digit of 10642? 4 What is the tens digit of 1154? 5 What is the hundreds digit of 2160? 1 What is the ten thousands digit of 13493? 1 What is the units digit of 93893? 3 What is the tens digit of 13972? 7 What is the units digit of 20003? 3 What is the hundreds digit of 130? 1 What is the hundreds digit of 4446? 4 What is the thousands digit of 1369? 1 What is the hundreds digit of 20644? 6 What is the hundreds digit of 6016? 0 What is the tens digit of 3806? 0 What is the hundreds digit of 1146? 1 What is the hundreds digit of 11008? 0 What is the thousands digit of 33927? 3 What is the thousands digit of 8108? 8 What is the thousands digit of 29491? 9 What is the units digit of 157? 7 What is the units digit of 9778? 8 What is the thousands digit of 2401? 2 What is the hundreds digit of 2292? 2 What is the hundreds digit of 6592? 5 What is the tens digit of 2190? 9 What is the thousands digit of 6534? 6 What is the hundreds digit of 6772? 7 What is the tens digit of 67562? 6 What is the units digit of 2555? 5 What is the thousands digit of 27792? 7 What is the tens digit of 653? 5 What is the tens digit of 299? 9 What is the thousands digit of 4493? 4 What is the ten thousands digit of 21542? 2 What is the units digit of 15321? 1 What is the units digit of 3722? 2 What is the tens digit of 200? 0 What is the hundreds digit of 6255? 2 What is the tens digit of 149? 4 What is the tens digit of 2594? 9 What is the units digit of 2986? 6 What is the hundreds digit of 10805? 8 What is the hundreds digit of 7324? 3 What is the tens digit of 17561? 6 What is the thousands digit of 11712? 1 What is the thousands digit of 1593? 1 What is the hundreds digit of 207? 2 What is the hundreds digit of 4811? 8 What is the hundreds digit of 16441? 4 What is the tens digit of 8805? 0 What is the units digit of 598? 8 What is the tens digit of 184385? 8 What is the tens digit of 3308? 0 What is the units digit of 32748? 8 What is the units digit of 3399? 9 What is the units digit of 79997? 7 What is the hundreds digit of 2496? 4 What is the hundreds digit of 223? 2 What is the ten thousands digit of 156667? 5 What is the tens digit of 371? 7 What is the units digit of 32226? 6 What is the thousands digit of 32264? 2 What is the units digit of 82? 2 What is the tens digit of 22074? 7 What is the thousands digit of 9580? 9 What is the units digit of 5204? 4 What is the thousands digit of 14991? 4 What is the thousands digit of 27704? 7 What is the thousands digit of 1312? 1 What is the hundreds digit of 1733? 7 What is the hundreds digit of 9328? 3 What is the tens digit of 6521? 2 What is the tens digit of 681? 8 What is the hundreds digit of 544? 5 What is the units digit of 15956? 6 What is the units digit of 1675? 5 What is the hundreds digit of 1604? 6 What is the tens digit of 1437? 3 What is the hundreds digit of 384? 3 What is the thousands digit of 6401? 6 What is the hundreds digit of 1681? 6 What is the units digit of 2782? 2 What is the ten thousands digit of 21068? 2 What is the tens digit of 22692? 9 What is the ten thousands digit of 29337? 2 What is the tens digit of 36689? 8 What is the tens digit of 69518? 1 What is the tens digit of 1877? 7 What is the hundreds digit of 9942? 9 What is the hundreds digit of 3684? 6 What is the hundreds digit of 21733? 7 What is the hundreds digit of 16668? 6 What is the hundreds digit of 25869? 8 What is the hundreds digit of 2326? 3 What is the hundreds digit of 23957? 9 What is the hundreds digit of 3762? 7 What is the hundreds digit of 698? 6 What is the thousands digit of 2432? 2 What is the hundreds digit of 878? 8 What is the thousands digit of 13964? 3 What is the units digit of 10508? 8 What is the hundreds digit of 24725? 7 What is the units digit of 1308? 8 What is the tens digit of 3270? 7 What is the units digit of 104? 4 What is the ten thousands digit of 10035? 1 What is the tens digit of 3123? 2 What is the thousands digit of 3527? 3 What is the hundreds digit of 4615? 6 What is the tens digit of 14971? 7 What is the units digit of 8850? 0 What is the thousands digit of 44033? 4 What is the units digit of 799? 9 What is the tens digit of 1920? 2 What is the tens digit of 552? 5 What is the units digit of 4004? 4 What is the ten thousands digit of 15138? 1 What is the hundreds digit of 770? 7 What is the units digit of 1961? 1 What is the units digit of 12012? 2 What is the tens digit of 1131? 3 What is the hundreds digit of 9265? 2 What is the units digit of 25599? 9 What is the hundreds digit of 89646? 6 What is the units digit of 3039? 9 What is the tens
{ "pile_set_name": "DM Mathematics" }
e 125860 divided by 3596. 35 Calculate 161906 divided by 1. 161906 405547 divided by 1 405547 Calculate -605 divided by -816. 605/816 Divide -816484 by -18988. 43 Calculate -196 divided by 172. -49/43 Calculate 1 divided by -1217690. -1/1217690 -2650 divided by -10 265 160611 divided by 160611 1 Calculate -380133 divided by 6. -126711/2 Divide -15 by 5005. -3/1001 Divide 96833 by -3. -96833/3 Divide -557419 by 3. -557419/3 Divide 2430 by -486. -5 493053 divided by -1 -493053 534430 divided by -41110 -13 Calculate 0 divided by -87636. 0 What is 12766 divided by -13? -982 Calculate 6 divided by -58720. -3/29360 -1090428 divided by -1021 1068 Divide 1993824 by 7224. 276 Divide -468179 by 4. -468179/4 Calculate 1 divided by -59. -1/59 96250 divided by 3 96250/3 Calculate 808704 divided by -432. -1872 -1581558 divided by 682 -2319 What is 331192 divided by 331192? 1 -20746 divided by 82 -253 What is 2311200 divided by -321? -7200 0 divided by 28779 0 Divide -178304 by 3184. -56 Calculate -7568 divided by 43. -176 Calculate 599740 divided by 149935. 4 Calculate 4974 divided by -4. -2487/2 Calculate 4 divided by -157508. -1/39377 Divide -902601 by 300867. -3 Calculate 392587 divided by -23. -17069 Divide 0 by 151421. 0 4 divided by -106161 -4/106161 What is -97 divided by -6509? 97/6509 Calculate 9196 divided by 6. 4598/3 What is -664224 divided by -528? 1258 Calculate 49046 divided by 24523. 2 -4406925 divided by -4385 1005 Calculate -4129 divided by 1. -4129 Divide -17616 by -8808. 2 -135 divided by 1216 -135/1216 Calculate 703724 divided by 25133. 28 Divide 3 by -66989. -3/66989 What is -2 divided by 17107? -2/17107 Divide -123480 by 6174. -20 -26870 divided by -13435 2 Divide 41999 by -5. -41999/5 Calculate -398034 divided by 199017. -2 Calculate 4 divided by -1567613. -4/1567613 Calculate 289 divided by -1688. -289/1688 1586 divided by 793 2 Divide 817 by 2860. 817/2860 Divide 1782 by -1782. -1 Divide -248391 by 33. -7527 What is 17732 divided by 124? 143 Divide 5 by -336623. -5/336623 Divide 157 by -76. -157/76 -99748 divided by -4 24937 Divide -774840 by 24. -32285 Divide -142303 by -4. 142303/4 What is 1772752 divided by 2194? 808 What is -39273 divided by -741? 53 Calculate -5 divided by -78155. 1/15631 Calculate 1321218 divided by -440406. -3 -20 divided by 5165 -4/1033 What is 62 divided by -5939? -62/5939 Divide 1277 by 1. 1277 Divide -4 by 221360. -1/55340 Divide 21838 by -4. -10919/2 Calculate 184805 divided by -23. -8035 Divide -55245 by 635. -87 Divide -23 by -4170. 23/4170 4130382 divided by -6 -688397 Divide 22386 by -3198. -7 What is -56987 divided by -17? 56987/17 -143386 divided by -2 71693 301353 divided by 1 301353 What is 29341 divided by 2? 29341/2 What is -105634 divided by 52817? -2 Calculate -23410 divided by -11705. 2 750 divided by -3226 -375/1613 Divide 20361 by 33. 617 Calculate 324 divided by -860. -81/215 Divide 0 by 94576. 0 What is -261 divided by 246? -87/82 Divide 3257 by -33. -3257/33 What is 148248 divided by -29? -5112 Divide 54180 by -18060. -3 What is -46500 divided by -125? 372 Calculate 959040 divided by -6. -159840 Divide 124163 by -9551. -13 What is -6016510 divided by -5? 1203302 Calculate -131779 divided by 2. -131779/2 Divide 114546 by 3369. 34 What is 62342 divided by 10? 31171/5 What is -124320 divided by 1120? -111 Calculate -378651 divided by -5. 378651/5 Divide -6419 by -1. 6419 82432 divided by -1792 -46 Calculate 368619 divided by 12711. 29 Divide 1374 by -5988. -229/998 What is -100 divided by -37046? 50/18523 Calculate 1 divided by 20041. 1/20041 Divide -6384 by -114. 56 What is -790598 divided by -2? 395299 What is -1910370 divided by -6? 318395 Divide 85946 by -7. -12278 -3087 divided by -11 3087/11 What is -226485 divided by 5? -45297 Divide 126445 by -25289. -5 -22584 divided by -7 22584/7 Calculate 46496 divided by -2. -23248 Divide -110376 by -6. 18396 -1179340 divided by -294835 4 Calculate -25930 divided by 2. -12965 What is 390 divided by -894? -65/149 What is -897463 divided by 203? -4421 Calculate 51652 divided by -25826. -2 Divide -34769604 by -6. 5794934 Calculate -18420 divided by -36. 1535/3 3 divided by 13345 3/13345 Divide 0 by 179461. 0 What is -5505 divided by -367? 15 What is -2 divided by 6066? -1/3033 Divide -159841 by 1. -159841 Divide 126667 by 17. 7451 What is -17 divided by -15959? 17/15959 Calculate 1409680 divided by -5360. -263 What is 426 divided by -6453? -142/2151 What is 1068566 divided by -5? -1068566/5 Calculate -39903 divided by 849. -47 What is -4 divided by -4677? 4/4677 Divide -206 by 80. -103/40 -213 divided by -290 213/290 Divide -113496 by 1. -113496 5 divided by 329525 1/65905 349894 divided by 34 10291 Divide 5 by 75141. 5/75141 Divide -14 by 1355. -14/1355 2513504 divided by -25648 -98 -257972 divided by 13 -19844 Divide -9828744 by 24. -409531 -127136 divided by 1096 -116 Divide 2237 by 16. 2237/16 31342 divided by -9 -31342/9 Calculate 37611 divided by 1393. 27 What is -31130 divided by -15565? 2 6339012 divided by -1 -6339012 Calculate 282 divided by 21. 94/7 Divide -1381024 by 2. -690512 Divide -82962 by -82962. 1 0 divided by 27580 0 What is 23 divided by -1041? -23/1041 What is 1 divided by 11320? 1/11320 21000 divided by 1500 14 What is -50787 divided by -243? 209 Divide -66000 by -1200. 55 51405 divided by -3427 -15 What is 345330 divided by -11511? -30 Calculate 5 divided by -10637. -5/10637 Calculate -707616 divided by 1. -707616 Divide -22 by -1331. 2/121 Calculate -1 divided by 593745. -1/593745 Divide -65928 by 10988. -6 Calculate 27 divided by -28. -27/28 Calculate -35363 divided by -1. 35363 -97265 divided by -49 1985 What is -77140 divided by 70? -1102 Divide -276900 by 2130. -130 What is -3004110 divided by 600822? -5 Calculate -179152 divided by -16. 11197 What is -3 divided by 353157? -1/117719 19 divided by -96264 -19/96264 28 divided by 8478 14/4239 -795618 divided by -265206 3 Divide 81 by -472. -81/472 What is 16839 divided by -5613? -3 What is -902061 divided by 12357? -73 Calculate 501450 divided by 30. 16715 -941094 divided by -2 470547 Calculate 338 divided by -244. -169/122 What is 5 divided by -8381? -5/8381 Divide 83457 by 4. 83457/4 Calculate 2468084 divided by -617021. -4 -418372 divided by -1 418372 Calculate -782901 divided by -153. 5117 Divide 1103682 by 1. 1103682 Calculate 3 divided by -11557. -3/11557 -2 divided by -95647 2/95647 What is 880 divided by -176? -5 Divide 381988 by -2146. -178 Calculate -7138 divided by -12. 3569/6 Divide 943200 by 188640. 5 Calculate 283 divided by 79. 283/79 Divide 588 by -294. -2 Calculate 876792 divided by 62628. 14 Calculate -68725 divided by 6. -68725/6 What is -14892420 divided by -3? 4964140 Divide -67 by -30. 67/30 Calculate 17986 divided by 4. 8993/2 -45773 divided by 1 -45773 Divide 6 by 145819. 6/145819 Divide 277 by 4002. 277/4002 -923274 divided by 27978 -33 -605488 divided by 1136 -533 Calculate 291 divided by 22. 291/22 Divide -2946273 by 89281. -33 Divide -36040 by -5. 7208 What is -1576905 divided by -3? 525635 Divide 7 by -7809. -7/7809 Calculate -6 divided by -8788. 3/4394 -9222 divided by 33 -3074/11 Divide -95610 by 1. -95610 120288 divided by 32 3759 -3 divided by -462266 3/462266 Calculate 166072 divided by -41518. -4 Divide 296 by 115. 296/115 Calculate -2728 divided by 148. -682/37 486 divided by 81 6 Divide -399763 by 57109. -7 What is 113274 divided by -9? -12586 78 divided by 577 78/577 Calculate -4307 divided by 99. -4307/99 Divide -238702 by -2911. 82 What is 40284 divided by 12? 3357 What is -56 divided by 63? -8/9 74 divided by -75856 -37/37928 -269 divided by -104 269/104 What is 3 divided by 89398? 3/89398 Calculate -2 divided by -58474. 1/29237 Divide 429721 by 41. 10481 -563633 divided by -7 80519 3186828 divided by -6 -531138 Calculate -277500 divided by -11100. 25 -18216 divided by 27 -2024/3 Divide 950667 by -7729. -123 Calculate 900618 divided by -6. -150103 Divide 272 by 4482. 136/2241 Calculate -641865 divided by 18339. -35 Divide 2 by 14327. 2/14327 Calculate 4078 divided by 6. 2039/3 -182745 divided by -1965 93 Divide 1254820 by 125482. 10 Calculate 59 divided by -11822. -59/11822 What is -1916 divided by -958? 2 Calculate -3 divide
{ "pile_set_name": "DM Mathematics" }
he highest common divisor of a and 16? 16 Suppose -3*x = 319 - 397. What is the greatest common divisor of x and 26? 26 Suppose -2*n = -6*y + y + 96, 4*y - 70 = 5*n. Let q be 1/(42/y + -2). Calculate the greatest common factor of q and 30. 10 Let r = -102 + 118. What is the highest common factor of r and 368? 16 Let b(g) = -28*g + 33. Let x be b(1). Let r = -147 - -77. Let n be (-1 - -2)*r/(-2). Calculate the greatest common factor of n and x. 5 Let d be 10/(-1 + 2 + 0). Let y be (-2)/(-15) + (-446)/(-30). Suppose 8*m = 9*m - y. Calculate the greatest common factor of d and m. 5 Suppose -216 = -3*g + 3*o, -o - 206 - 70 = -4*g. What is the greatest common factor of 51 and g? 17 Suppose -r - 2*t + 22 = 0, -4*r - t + 5*t + 100 = 0. What is the greatest common divisor of 48 and r? 24 Suppose 0 = -4*o + 79 + 109. Calculate the highest common factor of 376 and o. 47 Let g be ((-20)/(-3))/((-17)/(-1632)). What is the greatest common factor of 64 and g? 64 Let j be 6 - ((-4)/(-10) + (-91)/(-35)). Let n be 11/(-2)*54/(-9). What is the greatest common factor of n and j? 3 Let y(d) = d**2 - d + 30. Let o be y(0). Suppose 49 = 3*i - 5*f + f, 5*i - 87 = 4*f. Suppose -i*j = -122 - 163. Calculate the greatest common factor of j and o. 15 Suppose -5*p = -10*p + 20. Suppose -p*n + 36 = -n. Suppose -k + 4 = -104. Calculate the greatest common factor of k and n. 12 Let r = -80 + 90. Calculate the greatest common divisor of r and 130. 10 Let n be 5/3 - 8/(-24). Suppose 5*j + 2*j = 7. What is the greatest common factor of j and n? 1 Let a = 1823 + -1664. Calculate the highest common factor of a and 53. 53 Let u = -97 - -232. Let t = u + -96. Calculate the greatest common divisor of 273 and t. 39 Suppose 0 = -11*t - 264 + 957. Let g = t - -69. Calculate the highest common factor of g and 12. 12 Let q(c) = -c**3 + 7*c**2 - 3*c + 6. Let z be q(6). Suppose 0 = -k - 3*k - 720. Let d = -120 - k. Calculate the greatest common divisor of z and d. 12 Let c(q) = -8*q**2 + 82*q + 3. Let j be c(9). Calculate the greatest common factor of 930 and j. 93 Let c(s) = -s**2 + s + 9. Let x(f) = f**2 + 11*f + 13. Let w be x(-10). Let i be c(w). What is the highest common factor of i and 51? 3 Let s be -3*(8/(-6))/1. Suppose s*x - 52 - 1 = -q, 3*q - 16 = -x. Let i be 13/2*(-6)/(-3). Calculate the greatest common factor of i and x. 13 Suppose 154 = -3*b + 5*b. Let n = 55 + -11. Suppose 0*x = 3*x + 5*q - 33, 4*x = 4*q + n. What is the highest common factor of x and b? 11 Let h(w) = 4*w**3 - 18*w**2 + 8*w - 8. Let q be h(5). What is the greatest common divisor of 246 and q? 82 Suppose -w - 11 = -3*b, -3 - 1 = -b. Let g be w*(3 - 246/2). Let m = g - -216. What is the greatest common divisor of m and 24? 24 Suppose -x + 28 = x. Let u(k) = k**2 - 19*k - 440. Let l be u(34). Calculate the highest common divisor of x and l. 14 Suppose 5*y + 5*p = 3 + 87, 3*y = 3*p + 54. Let v be (-27)/y*(-46)/3*8. Calculate the highest common divisor of 23 and v. 23 Suppose 3*r - 48 = 53*d - 52*d, -d - 64 = -4*r. What is the greatest common factor of 464 and r? 16 Suppose 4*l - 15 = 13. Suppose -l + 3 = -j. Suppose -12 = -j*p, 3*p - 234 = -2*g + 9. What is the greatest common factor of 13 and g? 13 Let w be -2 + (-5)/(-5) + 793. Suppose -4*t - 2*t + w = 0. Let h(l) = 3*l - 12. Let i be h(8). What is the highest common divisor of t and i? 12 Let h = -41 + 41. Suppose -b + 2*n + 6 = 1, h = 4*b + 5*n - 85. What is the highest common factor of b and 3? 3 Let s(u) = 17*u + 2. Let n be s(-3). Let v = -30 - n. What is the greatest common divisor of 76 and v? 19 Suppose 0 = -17*y + 4*y + 468. Suppose 2*i + 1 = 7. Let b be (-24)/(-3)*i/6. Calculate the greatest common factor of y and b. 4 Let w(p) = p**2 + 10*p + 8. Let a be w(-11). Let f = -15 + a. Suppose u = f*u - 435. Calculate the greatest common factor of u and 29. 29 Suppose 3*z - 5*t = 15, 5*z = t + 4*t + 25. Calculate the highest common factor of 10 and z. 5 Suppose 0 = f + 3*o + 1 + 35, -3*f = 4*o + 88. Let i = f + 36. Suppose 0 = 2*x + 5*c - 9, 60 = -0*x + 4*x - 4*c. What is the greatest common divisor of i and x? 12 Let d = 120 + -76. Calculate the greatest common factor of 8 and d. 4 Let y = 691 - 71. What is the highest common factor of 20 and y? 20 Suppose 0*y + 62 = -2*y + t, -4*y - 112 = t. Let u = y + 34. Suppose -3*x + 39 = 3*m, 0 = m - u - 0. Calculate the greatest common factor of x and 64. 8 Let r(u) = -u**3 + 4*u**2 + 1. Let v be r(2). Let y = 179 + -188. Let i be (3/y)/(26/(-6) + 4). What is the highest common divisor of i and v? 1 Let b = -25 + 35. Let u = 77 + 133. Suppose -327*h + 330*h = u. Calculate the greatest common divisor of h and b. 10 Let i be -1 + (2 - 1) + 60. Let f(p) = 2*p - 12. Let c be f(6). Suppose -r = -c*r - 12. Calculate the greatest common factor of i and r. 12 Let j(l) = -l**3 - 3*l**2 + 2*l - 16. Let z be j(-5). Calculate the greatest common factor of 16 and z. 8 Let m be (110 - -2)*42/147. What is the highest common factor of 56 and m? 8 Let u be 1/3 + 580/87. What is the greatest common divisor of u and 63? 7 Suppose -6*d + d - 115 = -3*f, 0 = 3*f - 4*d - 113. Calculate the greatest common factor of 1295 and f. 35 Suppose r - 6 = -2*r. Suppose -r + 4 = g. Let d = 4 - g. Calculate the highest common factor of 4 and d. 2 Let h = 73 - 10. Suppose -3*g = 5*z - 96, 4*g + 4 - 13 = -z. What is the greatest common divisor of h and z? 21 Let d = -21 + 60. Suppose 0 = -3*w + 2*w + 65. Calculate the highest common divisor of d and w. 13 Suppose 0 = 4*n, -5*m + 7*m - 360 = 5*n. What is the greatest common divisor of m and 5? 5 Let r = -5 + -9. Let w be (-7)/r*1*164. Suppose 3*k - w = -t, 4*t = 5*t - 4*k - 96. Calculate the highest common divisor of 8 and t. 8 Let k = -1662 + 1694. Suppose -4*y + 80 = y - 2*c, 48 = 3*y - 2*c. What is the greatest common divisor of y and k? 16 Let s(o) = o**2 - 22*o - 226. Let w be s(34). What is the greatest common factor of 112 and w? 14 Let u(i) = 239*i**2 - 1. Suppose 13*p = -10 - 3. Let o be u(p). Calculate the greatest common divisor of 34 and o. 34 Suppose -4*c + 3 = 2*r + 5, 3*c = 4*r - 18. Let x be r/(2*3/8). What is the greatest common factor of x and 20? 4 Let b(r) = -r**3 + 7*r**2 - 5*r - 4. Let t be b(6). Let w = -10 - -6. Let f be (1 - 16/w) + 1. Calculate the highest common divisor of t and f. 2 Let i(p) = 9*p. Let u be i(0). Suppose -4*m = -2*t - u*t - 66, 3*m - 5*t = 67. What is the greatest common divisor of 56 and m? 14 Suppose 0 = 5*c - 0 + 5. Let h be (2 - 1)/(c/(-37)). Calculate the highest common divisor of 111 and h. 37 Suppose -3*u - 17 = 5*v, 0 = -u + 7*v - 8*v - 3. Calculate the greatest common divisor of 25 and u. 1 Let s = 9 - -34. Calculate the greatest common divisor of s and 172. 43 Let j be 3 + 1 + 22 + -6. Suppose -9*c + j = -5*c. Calculate the greatest common divisor of 25 and c. 5 Let n be (-63)/(5*1/(-5)). What is the greatest common divisor of 525 and n? 21 Let x = -49 + 56. Let l be (-2)/x + 254/7. Calculate the highest common divisor of 54 and l. 18 Let d(c) = 8*c + 126. Let f be d(-7). Let w(k) = -k**3 + 6*k**2 + 9*k - 4. Let p be w(7). What is the highest common divisor of f and p? 10 Let h = -552 - -582. What is the highest common divisor of 12 and h? 6 Suppose 0 = -3*s + 10 + 11. Suppose -3*r - 51 = -57. Suppose 26 = r*w - 3*v, v = -3*w + 9 + 8. Calculate the highest common factor of s and w. 7 Let l = -9 + 22. Let d(y) = 4*y - 3. Let a be d(l). Calculate the greatest common divisor of a and 14. 7 Suppose 229 = -3*v + 5*n, -4*v - 2*n - 350 + 62 = 0. Let p = v - -137. Calculate the greatest common factor of p and 4. 4 Let z = 1329 + -1325. What is the greatest common factor of 172 and z? 4 Let t(z) = -169*z - 9. Let v be t(-4). Suppose 2*o + 69 - v = 0. Let a = o + -129. Calculate the highest common factor of 68 and a. 34 Suppose 5814*c - 5789*c - 1250 = 0. Let n be 304/10 - (-4)/(-10). What is the greatest common factor of c and n? 10 Let z be (7 + -4)/(-1) + 109. Calculate the highest common divisor of z and 4. 2 Let p(v) = 18*v**2 + 11*v + 18. Let w be p(-2). What is the highest common divisor of w and 85? 17 Suppose -22148 = 3*u - 10*u. Let q be (8/(-6))/(6 + u/(-525)). Calculate the greatest common divisor of q and 250. 50 Suppose -225 = -6*a + a
{ "pile_set_name": "DM Mathematics" }
ivided by 32. 0 Let v(m) = 22*m - 471. Calculate the remainder when 263 is divided by v(25). 26 Let b(x) = 68 + 35 - 29 - 8*x. Let k be b(9). Suppose 5*n + 77 = 2*q, -n + k*n = 4*q - 109. Calculate the remainder when q is divided by 7. 5 Let z = -37 + 39. Let x(g) = -7*g**2 + 4*g + 2. Let f be x(z). Calculate the remainder when 35 is divided by (f/1)/((-3 + -1)/2). 8 What is the remainder when 762 is divided by ((-580)/(-232))/((-2)/(-12))? 12 Suppose 2*p + 0*d + 5*d = 47, -5*d = -4*p + 109. Let n(g) = 3*g + 400. Let x be n(-30). Let c = x + -301. Calculate the remainder when p is divided by c. 8 Let x(r) = -581*r - 2202. What is the remainder when 458 is divided by x(-4)? 92 Suppose 9*z = 39*z + 30. Calculate the remainder when 327 is divided by (164/8)/(z/(-2)). 40 Suppose -23*x = -31428 + 4610. Suppose 4*r = -2*j + x + 150, -5*r - 4*j + 1645 = 0. What is the remainder when r is divided by 84? 77 Suppose -3*r + 57 = 3*w, 5*r + 0*r = -3*w + 89. Let u(m) = -m**3 + m - 1. Calculate the remainder when u(-2) is divided by (r/10)/(22/55). 1 Suppose -12 = 51*k - 55*k. Calculate the remainder when (-442)/39*k/(-1) is divided by 10 + 4/(-2) + -1. 6 Suppose 0*l = -4*l + 12, -3*l + 4719 = -3*c. Let x be (-5)/30 + c/12. Let i = x - -184. Calculate the remainder when i is divided by 9. 8 Let z(a) = 4*a**2 - 12*a + 17. Let m be z(7). Suppose 3*h = 3*b + m, 0 = -2*b + 2. What is the remainder when 175 is divided by h? 43 Suppose 2*a = -28*o + 32*o + 416, 3*a = -2*o + 640. What is the remainder when 521 is divided by a? 97 Let x be ((140/(-6))/(-5))/((-40)/(-180)). Let b(q) = q + 7. Calculate the remainder when x*(3/5 - (-88)/(-280)) is divided by b(-6). 0 Let w(a) = 3*a**3 + 2*a**2 - a - 2. Let l be w(-3). Suppose 22*f = -46*f + 6052. Let b = l + f. Calculate the remainder when 107 is divided by b. 26 Suppose -6*v + 1027 = -329. Suppose -2*n + 36 = n. What is the remainder when v is divided by n? 10 Suppose -5*y = -5*s - 4*y - 9, 11 = -3*s + 2*y. Let q = 10 + -4. What is the remainder when 9 is divided by s/(-3) - (-22)/q? 1 Suppose -s + 18 = 3. Let c(j) = j**2 - 16*j + 17. Let y be c(s). Suppose 79 = y*a - 51. What is the remainder when a is divided by 14? 9 Suppose -658 = -i - 104*c + 108*c, 0 = 3*i + 5*c - 1855. What is the remainder when i is divided by 17? 1 Suppose -28*n + 6*n + 1071 = -n. What is the remainder when 8207 is divided by n? 47 Let n = -609 + 614. Suppose -7*q + 173 = n*c - 6*q, -c = -3*q - 41. Calculate the remainder when 104 is divided by c. 34 Suppose 207*z - 210*z = 15, -3*q = 2*z - 3404. Calculate the remainder when q is divided by 25. 13 Suppose 12*m = 916 - 484. Calculate the remainder when 125 is divided by m. 17 Let r(v) = -v**2 - 50*v + 94. Let b be r(-37). Suppose 3*j + p - 565 = 0, -5*j + 4*p = -2*j - b. What is the remainder when j is divided by 24? 21 Suppose -2*b = 2*b - 4, -w - 2*b + 198 = 0. Let t = w + 61. What is the remainder when t is divided by 87? 83 Let m = -175 - -170. What is the remainder when 112 is divided by ((-4)/((-12)/m))/((-7)/126)? 22 Let c(n) = n**3 + 33*n**2 - 178*n + 4. What is the remainder when c(5) is divided by 45? 19 Let q(k) = 2*k**2 + 49*k + 51. Let z be q(-24). Suppose -i + 3*s = -z, -17*s - 9 = -i - 20*s. Calculate the remainder when 44 is divided by i. 8 Let k be (-190)/38 + 114 + -1. Suppose t - 13*t = -k. Calculate the remainder when 72 is divided by t. 0 Suppose -196*h = -5*h - 435334 + 58109. Calculate the remainder when h is divided by 38. 37 What is the remainder when 5377 is divided by 46/3*(-3 - 132/(-11))? 133 What is the remainder when 108 is divided by ((-14)/28)/((-10)/(-25) - 1/2)? 3 Let t(k) = -10*k + 27. Let w be t(6). What is the remainder when 110 is divided by 2 + (1/1 - w/11)? 2 What is the remainder when -15 + 4 + (2 - -191) is divided by 173? 9 Suppose -4*s + 486 = 5*s. Let d = -37 - -20. Let x(q) = q**3 + 17*q**2 + q + 31. What is the remainder when s is divided by x(d)? 12 Suppose -4 + 16 = 4*i. Suppose 5*d + 4*y - 28 = i*y, 5*d - 24 = -3*y. What is the remainder when d is divided by 2? 0 Calculate the remainder when 3/21 + (-40)/(-14) is divided by 990/(-132)*(-2)/5. 0 Let x be 4/4*8 + 1. Suppose 12*w - 72 = x*w. Suppose -3*z + 24 = 4*o - 0, 5*z - w = -4*o. What is the remainder when 12 is divided by o? 0 Let b be 16/(-56) - 128/(-7). What is the remainder when 32 is divided by 256/b - (172/(-36) - -5)? 4 Suppose -51*t = -109*t + 47*t + 1188. Calculate the remainder when 321 is divided by t. 105 Let a(x) = x**2 - 38*x + 1956. What is the remainder when a(44) is divided by 22? 20 Suppose -1206 = -3*u - 2*h, -9*h - 1615 = -4*u - 14*h. Suppose 0 = 44*g - 1852 + u. Suppose q - 7 = 11. Calculate the remainder when g is divided by q. 15 Suppose -2*u - 26 = -3*u - 4*x, x - 1 = 0. What is the remainder when 2440 is divided by u? 20 Let h = 268 + -262. Suppose h*d + 62 = 176. What is the remainder when 56 is divided by d? 18 Let y be -6*2/(-8)*420/(-9). Let o = y + 100. Calculate the remainder when 176 is divided by o. 26 Suppose 4*k - 221 = w, -3*w + 5 = -4*w. Suppose -3*x + k = 2*t, 2*t - 5*t - 18 = -x. What is the remainder when x is divided by ((-1875)/2625)/(12/14 - 1)? 3 Let c(z) = -z**3 - 8*z**2 - 70*z - 476. Let q = 13 + 2. Calculate the remainder when c(-8) is divided by q. 9 Let n = 221 - 216. Suppose n*y = -52 + 67. Calculate the remainder when 47 is divided by y. 2 Let l = 4397 + -3958. Calculate the remainder when l is divided by 106. 15 Suppose 477 = -11*z + 5911. Calculate the remainder when z is divided by 10. 4 Let t(o) = -1 + 28*o + 16*o**3 + 12*o**2 + 1 - 17*o**3 + 5. Calculate the remainder when 17 is divided by t(14). 2 What is the remainder when 574 is divided by (83 - 60) + (-18)/(3 - 0)? 13 Let n(s) = 35*s - 6. Let r be n(3). Let g = r - 96. What is the remainder when 37 is divided by g? 1 Let z(r) = -r**2 + 53*r - 271. Suppose 4*u + 3*l = -l + 88, 0 = -5*u + l + 134. What is the remainder when z(46) is divided by u? 25 Suppose -4*w + 4*a = -6*w + 3660, -2*a - 5482 = -3*w. Suppose 6014 = 23*m + w. Calculate the remainder when m is divided by 8. 6 Suppose 2*k = -4*v + 29668, -2*k = 2*k - 3*v - 59402. What is the remainder when k is divided by 116? 114 Suppose -77*f + 133 = -6874. What is the remainder when f is divided by 3/(-2)*76/(-6)? 15 Let m(s) = s**2 - 144*s + 1057. What is the remainder when 232 is divided by m(7)? 36 Let s(r) = -2*r**3 - 11*r**2 - 5*r + 1. Let a be s(-7). Let c = a - 178. Calculate the remainder when 64 is divided by c. 4 Suppose u + 2*u + 72 = 4*u. What is the remainder when u is divided by 11? 6 Let l(b) = b**2 - 12*b + 23. Let i be l(10). Suppose -3*p - i*m + 1038 = 0, 2*m - 3*m - 1026 = -3*p. Calculate the remainder when p is divided by 69. 67 Suppose 2*m = -5*l + 66, 80 = -0*m + 2*m - 2*l. Suppose -m*k + 32*k = 108. Calculate the remainder when 98 is divided by 3*4/k - (-455)/21. 14 What is the remainder when 105 is divided by 17 + (-436)/(-545)*10/4? 10 Let a be ((-6)/(-4))/((-90)/(-5340)). Let c = a - -3. Calculate the remainder when c is divided by ((-76)/(-12))/((-2)/(-6)). 16 Let t be -411*2/(-6) + -1. Calculate the remainder when ((-7)/((-14)/6) + t)*1 is divided by 28. 27 Suppose 4*n - 18*o = -13*o + 5159, -2587 = -2*n - 5*o. Calculate the remainder when n is divided by 12. 7 Calculate the remainder when 4/((-12 - -10)/(-6650)*1) is divided by 18. 16 Suppose -5*r = 3*i - 2007, -8*r = -2*i - 12*r + 1336. Calculate the remainder when i is divided by 25. 24 Let w = -236 + 140. Let y = w + 102. What is the remainder when 7/(-2) + 3 - (-735)/y is divided by 31? 29 Suppose 791 = -5*n - 429. Let v = n - -251. What is the remainder when 83 is divided by v? 6 Let c be (-2)/(24/20)*(-10 + 7). Suppose -42 = -y - c*y. Calculate the remainder when 27 is divided by y. 6 Suppose 0 = 657*p - 512*p - 5365. Suppose k + b = 185, 0 = -b - 3*b + 4. What is the remainder when k is divided by p? 36 Let b = -3046 + 3120. What is the remainder when 79 is divided by b? 5 Calculate the remainder when 110 is divided by 74 + (6 - (-6 - 11)). 13 Suppose l + 3*a = 18, 3*a + 25 = -3*l + 61. Suppose -11*y - 320 = -l*y. Let b = -91 - y. What is the remainder when b is divided by 19? 12 Let a = 929 - 551. Suppose -117*q - a = -123*q. Calculate th
{ "pile_set_name": "DM Mathematics" }
2 + 8197*z**3 - z**2 + 1095 wrt y? 15310562*z**3 - 2*z**2 Find the third derivative of 2866553*k**2*x**3 + 60334*k**2*x + k*x**4 - 27*k*x**2 wrt x. 17199318*k**2 + 24*k*x Find the second derivative of 12*k**5 + 17*k**4 - 50092*k**3 + 148524422*k wrt k. 240*k**3 + 204*k**2 - 300552*k Find the second derivative of -80*k**4*r + 228*k**2*r - 2644*k**2 - 3*k*r - 2999236 wrt k. -960*k**2*r + 456*r - 5288 Find the second derivative of 228*c**5 - c**4 + 2639*c**2 + 7165216*c wrt c. 4560*c**3 - 12*c**2 + 5278 What is the second derivative of 9615555*f**2*n**3 + 33109*f*n**3 - 34*f*n wrt f? 19231110*n**3 What is the third derivative of 46*f**5 - 6*f**4 - 54844*f**3 - 383745*f**2 + 258 wrt f? 2760*f**2 - 144*f - 329064 What is the first derivative of -9*v**4 + 1739*v**3 + 120*v + 50977789 wrt v? -36*v**3 + 5217*v**2 + 120 Differentiate -3268*c**2*o*s**2 - 22637*c*o*s + 303*o*s**2 + o*s - 518*s**2 - 7 with respect to c. -6536*c*o*s**2 - 22637*o*s What is the third derivative of o**6 + 10786122*o**3 - 2003*o**2 + 2349? 120*o**3 + 64716732 What is the third derivative of 7611453*t**3 + 137230*t**2 wrt t? 45668718 What is the second derivative of 23585*y**3 - 106*y**2 - 4629440*y wrt y? 141510*y - 212 What is the third derivative of 108150067*z**5 + 324329927*z**2 wrt z? 6489004020*z**2 Find the second derivative of 2161809*r**4 - 2*r**3 - 11*r**2 - 1046201897*r. 25941708*r**2 - 12*r - 22 Find the first derivative of -18483545*p**2*t - 2432361*p**2 wrt t. -18483545*p**2 What is the first derivative of 5*l**2*m**2 + l**2 - 49127*l*m**2 + 219*m**2 - 520862729 wrt m? 10*l**2*m - 98254*l*m + 438*m Find the second derivative of -6152343*a**2 + 217036*a + 15. -12304686 Find the second derivative of 27791992*c**3 - c + 20089064. 166751952*c Find the third derivative of 8048921*r**3 + 3*r**2 - 1976*r + 171. 48293526 What is the third derivative of 15329297*l**4 + 15520680*l**2? 367903128*l Find the second derivative of 33192950*i**2*y**2 - 10*i*y**2 + 19*i*y + 2*y**2 - 5*y + 1050 wrt i. 66385900*y**2 Find the third derivative of 3588485*h**3*i - 2*h**2*i + 334418*h*i wrt h. 21530910*i What is the second derivative of -5285*r**2*t**3 - 17*r**2*t - 29*r**2 - 3*r*t**3 + 1129*r*t**2 - 55*t wrt r? -10570*t**3 - 34*t - 58 What is the second derivative of 7604392*h**2 + 1365592*h wrt h? 15208784 What is the third derivative of -28*d*i**3*j - 17048*d*i**2*j - 3*d*i*j + 2*d*j + 1699655*i**3*j - 10*i**2 + 3*j wrt i? -168*d*j + 10197930*j Find the second derivative of -109436952*v**2 - 120975623*v. -218873904 Find the second derivative of -92833039*y**5 + 22952725*y. -1856660780*y**3 What is the second derivative of 3*i**3*r - 2992641*i**2*r + 4*i*r - 453639*i + 4*r wrt i? 18*i*r - 5985282*r Find the third derivative of 2160526*q**6 - 2*q**4 + 2391*q**2 + 659*q. 259263120*q**3 - 48*q Find the third derivative of -211301068*a**3*n*q**2 + 2*a**3*n - 5*a**2*n*q - 9*a*n*q - a*n - 6*a*q**2 - 4*n + 13304*q**2 wrt a. -1267806408*n*q**2 + 12*n Find the second derivative of 39171384*b*w**2 - 1779005*b*w + 2*w wrt w. 78342768*b Find the third derivative of k**6 - 879283*k**5 - 2*k**3 - 68*k**2 + 249*k + 454. 120*k**3 - 52756980*k**2 - 12 Find the second derivative of 15*p**3 - 1862145*p**2 + 25824605*p wrt p. 90*p - 3724290 Find the third derivative of -3*b*i**3 - 10*b*i**2 + 684219*b - 5460212*i**3 wrt i. -18*b - 32761272 Find the second derivative of -3384*c**3 + 273*c**2 - 3314070*c wrt c. -20304*c + 546 What is the second derivative of -1651064*w**2 - 3681995*w - 2 wrt w? -3302128 Differentiate -143605009*y**4 - y**2 - 457486970 wrt y. -574420036*y**3 - 2*y Differentiate 226*w**4 + w**3 - 157*w**2 - 87*w + 235722871 with respect to w. 904*w**3 + 3*w**2 - 314*w - 87 Find the second derivative of -2866727*k**2*l**2 - 42*k**2*l - 4*k*l**2 + 3710*k*l - 27*k + 2*l**2 - l wrt k. -5733454*l**2 - 84*l What is the derivative of -97473*i*z + 3221*i + 532462350*z wrt i? -97473*z + 3221 What is the second derivative of -9765207*m**3 - 6*m - 102713 wrt m? -58591242*m What is the derivative of 226315057*l*m**2 + 114063619*m**2 wrt l? 226315057*m**2 Differentiate 33758086*m + 10856157 with respect to m. 33758086 What is the first derivative of 276728277*i**3 - 89690049 wrt i? 830184831*i**2 What is the third derivative of 6831181*d**5 + 5*d**3*o**3 - 29*d**2*o - 18*d**2 - 25*d*o**3 + 13*o**2 - 3 wrt d? 409870860*d**2 + 30*o**3 Find the second derivative of 206357953*u**2 + 93912114*u. 412715906 Find the third derivative of -183*p*t**3 - 84279*p*t**2 - 15729*t**3 + 41*t**2 wrt t. -1098*p - 94374 Find the third derivative of 46761*t**4 - 137*t**3 + 12927606*t**2 wrt t. 1122264*t - 822 What is the second derivative of f**4 - 113433*f**3 - 6404994*f wrt f? 12*f**2 - 680598*f Find the third derivative of -890195475*x**5 - 49162100*x**2 - 3*x wrt x. -53411728500*x**2 Find the first derivative of 308*j**3*n + 508*j**3 + 331439*j**2*n**3 + 9*j**2 + 9422*j + 2 wrt n. 308*j**3 + 994317*j**2*n**2 What is the derivative of -7*d*t**3 - 41626*d - 2*t**3 + 4071*t + 16 wrt t? -21*d*t**2 - 6*t**2 + 4071 Find the second derivative of 190479612*b**5 + 5166324*b + 3 wrt b. 3809592240*b**3 Differentiate 2*h*j**2*l + 201756*h*j + 429921*h*l - 21*h*n**2 - j**2*n + 14*l*n**2 with respect to l. 2*h*j**2 + 429921*h + 14*n**2 What is the third derivative of 302*x**4*y + 414*x**4 - x**3*y - 3*x**3 - 1150*x**2 + x*y - 5259*x - 2*y wrt x? 7248*x*y + 9936*x - 6*y - 18 Find the third derivative of 98379878*j**3*x**2 + 9*j**2*x + j*x**2 - 852972*x**2 wrt j. 590279268*x**2 Find the first derivative of 18*p**4 - 3926*p**3 + 588*p - 1379689480 wrt p. 72*p**3 - 11778*p**2 + 588 Find the first derivative of 3199825*i**2*j + 36418322*i**2 - 4*i*j + j**4 wrt j. 3199825*i**2 - 4*i + 4*j**3 Differentiate -71*a**3*r**2 - 637784308*a**3 + 1210655*r**3 wrt r. -142*a**3*r + 3631965*r**2 What is the third derivative of -2*s**6 + 50491838*s**5 + 73244092*s**2? -240*s**3 + 3029510280*s**2 What is the first derivative of -86886*k**3 + 2*k**2 - 5*k - 7263356 wrt k? -260658*k**2 + 4*k - 5 Find the third derivative of -123616726*i**3 + 1334541910*i**2. -741700356 Find the second derivative of -246*k**4 - 30*k**3 + 177*k**2 - 280636099*k. -2952*k**2 - 180*k + 354 What is the third derivative of 2*i**5 + 2313046*i**3 - 7601551*i**2? 120*i**2 + 13878276 What is the first derivative of 447210644*t - 371194893 wrt t? 447210644 Differentiate 9398137*j**3*x*z**2 - 400*j**3 - 7363*x wrt z. 18796274*j**3*x*z Differentiate 691784710*f**4 + 487009578 wrt f. 2767138840*f**3 What is the second derivative of -179560500*q**5 + 8121*q - 3196? -3591210000*q**3 What is the derivative of -641120292*r - 985566168 wrt r? -641120292 Differentiate -4*z**4 + 8*z**3 - 2903*z - 21000262 wrt z. -16*z**3 + 24*z**2 - 2903 Differentiate 62376049*d + 73986472 wrt d. 62376049 What is the first derivative of 13233660*y + 557321 wrt y? 13233660 Differentiate -393364005*s + 495112735. -393364005 Differentiate 137*s**3*w*y + 3*s**3*y + s**2*y - 873*s**2 - s*w*y - 306*s - 5676*w*y - w - y with respect to w. 137*s**3*y - s*y - 5676*y - 1 What is the second derivative of 1377*f**5*n - 3*f**3*n + 25789*f**2 - 32126*f*n - 230*f - 2 wrt f? 27540*f**3*n - 18*f*n + 51578 Find the third derivative of 207651335*n**3 + 69512168*n**2. 1245908010 Differentiate -809*b**2*l + 7871*b**2 - 11366601*l - 21 wrt b. -1618*b*l + 15742*b Find the second derivative of -1330*h**2*p**2 - h**2 - h + 1105*p**4 - 512347*p wrt p. -2660*h**2 + 13260*p**2 What is the third derivative of -33556897*f**5 + 3198*f**2 + 2*f - 344 wrt f? -2013413820*f**2 What is the third derivative of 6418563*q**3 - 10*q**2 - 24030*q wrt q? 38511378 Differentiate 2*l**3 - 107794986*l**2 + 201183027 with respect to l. 6*l**2 - 215589972*l Find the third derivative of -13258441*s**4 + 188984*s**2 + 11. -318202584*s Find the third derivative of -19841047*l**4 - 969*l**2 + 2691*l. -476185128*l What is the first derivative of -67254798*f - 128716884? -67254798 What is the derivative of 3*t**2 + 4223840*t + 2104329? 6*t + 4223840 Find the second derivative of 19686801*z**3 - 22430*z - 220 wrt z. 118120806*z What is the third derivative of 369464*y**4 - 3*y**3 + 307*y**2 + 27775 wrt y? 8867136*y - 18 What is the third derivative of -339338
{ "pile_set_name": "DM Mathematics" }
65? -11597 What is the next term in 1499, 1501, 1499, 1493, 1483? 1469 What comes next: 12, 169, 432, 801, 1276, 1857? 2544 What is the next term in 657, 5315, 17953, 42561, 83129, 143647, 228105, 340493? 484801 What is the next term in 130773, 130775, 130779, 130785, 130793, 130803, 130815? 130829 What is next in -809, -1487, -2149, -2789, -3401, -3979? -4517 What is the next term in 60574, 60576, 60578? 60580 What is next in -4959, -4968, -4983, -5004? -5031 What is next in -46, 26, 220, 536, 974, 1534? 2216 What comes next: -237, -191, -73, 153, 523, 1073, 1839? 2857 What is next in -2377, -4919, -7461, -10003, -12545? -15087 What comes next: 11630, 11627, 11630, 11639, 11654? 11675 What is next in -724, -696, -652, -592? -516 What comes next: 431195, 431187, 431169, 431135, 431079, 430995, 430877? 430719 What is next in 304, 3423, 8622, 15901, 25260? 36699 What comes next: 3760, 15060, 33894, 60262, 94164, 135600? 184570 What is the next term in -2077, -8437, -19077, -33997, -53197, -76677, -104437? -136477 What is the next term in 209, 166, 93, -10, -143, -306, -499? -722 What is the next term in 117, 262, 401, 534, 661, 782? 897 What is next in -581, -2354, -5323, -9488, -14849, -21406? -29159 What is the next term in -3229420, -3229419, -3229418? -3229417 What is the next term in -4705, -4700, -4695, -4690? -4685 What is the next term in -3376, -3336, -3294, -3250, -3204, -3156? -3106 What is next in 24, 119, 374, 867, 1676, 2879, 4554, 6779? 9632 What is next in 636, 618, 598, 588, 600, 646, 738, 888? 1108 What is the next term in 36, 197, 478, 879, 1400? 2041 What is the next term in 16, -166, -474, -914, -1492, -2214, -3086, -4114? -5304 What is the next term in -7484, -15036, -22588, -30140, -37692, -45244? -52796 What comes next: -530, -2083, -4626, -8123, -12538, -17835? -23978 What is next in -154, -1333, -4612, -11065, -21766, -37789, -60208, -90097? -128530 What is next in 410, 185, -190, -715, -1390, -2215? -3190 What is next in 591, 2001, 4351, 7641, 11871? 17041 What is next in -172450, -172442, -172414, -172354, -172250, -172090, -171862, -171554? -171154 What is next in 140, 195, 290, 431, 624, 875? 1190 What is next in 3700, 3720, 3746, 3772, 3792, 3800, 3790? 3756 What comes next: 45698, 91341, 136900, 182333, 227598, 272653, 317456? 361965 What is next in 2539, 10111, 22679, 40201, 62635, 89939? 122071 What comes next: 626, 5250, 17838, 42374, 82842? 143226 What is the next term in -3078, -24561, -82872, -196425, -383634, -662913, -1052676? -1571337 What is the next term in 43568, 43576, 43584? 43592 What comes next: 48779, 48777, 48773, 48767? 48759 What is the next term in -2832, -5665, -8498, -11331, -14164, -16997? -19830 What comes next: 711542, 711552, 711576, 711620, 711690, 711792, 711932? 712116 What is next in -542, -1123, -1744, -2405, -3106, -3847? -4628 What comes next: -3378, -7693, -12022, -16371, -20746, -25153? -29598 What comes next: 25614, 51202, 76768, 102300, 127786, 153214, 178572? 203848 What comes next: -6258, -12256, -18254? -24252 What is the next term in -15903, -15900, -15897, -15894? -15891 What is next in -99, -471, -843, -1215, -1587, -1959? -2331 What is next in -119726, -478896, -1077514, -1915580, -2993094, -4310056, -5866466? -7662324 What comes next: -21489, -42973, -64459, -85947? -107437 What comes next: 601, 2542, 5995, 11140, 18157, 27226, 38527, 52240? 68545 What is the next term in -67, -78, -101, -136, -183, -242, -313? -396 What is next in 120, 130, 168, 246, 376, 570? 840 What is next in 1237, 1358, 1559, 1840, 2201, 2642? 3163 What is next in -26205, -26193, -26181, -26169, -26157, -26145? -26133 What is the next term in 145, 708, 1285, 1882, 2505, 3160, 3853, 4590? 5377 What comes next: 4312, 17258, 38826, 69010, 107804, 155202? 211198 What is the next term in 1447, 2899, 4315, 5677, 6967, 8167, 9259, 10225? 11047 What is the next term in 520659, 1041319, 1561979? 2082639 What is next in 45, 513, 1793, 4293, 8421, 14585? 23193 What comes next: 8717, 17431, 26145, 34859, 43573? 52287 What is next in -33, -36, -21, 12, 63, 132? 219 What is next in -1241, -1422, -1639, -1910, -2253, -2686? -3227 What is next in 2304, 3462, 4620? 5778 What comes next: 936, 2034, 3146, 4278, 5436? 6626 What comes next: -136, -346, -560, -778, -1000, -1226, -1456? -1690 What comes next: 872, 3493, 7860, 13973, 21832, 31437? 42788 What comes next: 1098, 2400, 3718, 5046, 6378, 7708, 9030, 10338? 11626 What is the next term in -237, -481, -887, -1455, -2185, -3077, -4131? -5347 What is the next term in -87626, -87622, -87618, -87614, -87610? -87606 What is next in -192, -766, -1722, -3060? -4780 What is the next term in 202496, 202497, 202498? 202499 What is the next term in 142, 485, 1054, 1849? 2870 What is next in 645, 680, 745, 846, 989? 1180 What comes next: 43, 102, 251, 532, 987? 1658 What comes next: -3412, -3409, -3406, -3403? -3400 What is next in 153, 472, 955, 1602? 2413 What comes next: 717721, 717720, 717719, 717718, 717717, 717716? 717715 What comes next: -721, -1443, -2169, -2899, -3633, -4371, -5113? -5859 What comes next: 199, 229, 289, 391, 547, 769, 1069? 1459 What comes next: 69303, 138605, 207905, 277203, 346499, 415793, 485085? 554375 What is next in 799, 1588, 2381, 3178, 3979, 4784? 5593 What is next in 208969, 208959, 208935, 208891, 208821? 208719 What comes next: -3078, -5846, -8614, -11382, -14150? -16918 What is next in 1682, 2311, 2940, 3569, 4198? 4827 What comes next: -595, -573, -509, -397, -231? -5 What is next in 16607, 16628, 16639, 16634, 16607, 16552, 16463? 16334 What is next in 406039, 406044, 406049, 406054, 406059, 406064? 406069 What comes next: -554047, -554052, -554059, -554068, -554079, -554092? -554107 What comes next: -774, -1191, -1618, -2061, -2526? -3019 What comes next: -25369, -25370, -25371, -25372? -25373 What comes next: -141485, -141506, -141553, -141638, -141773? -141970 What is the next term in 1086725, 1086727, 1086729, 1086731, 1086733, 1086735? 1086737 What is next in -1159, -2333, -3521, -4723, -5939, -7169, -8413? -9671 What comes next: -34560, -34655, -34814, -35037, -35324, -35675, -36090? -36569 What comes next: -17493, -35325, -53157? -70989 What is next in 31916, 63846, 95792, 127760, 159756, 191786, 223856, 255972? 288140 What comes next: -192654, -192665, -192684, -192711, -192746? -192789 What is next in -8184, -8216, -8268, -8340, -8432, -8544? -8676 What is the next term in 34, 46, 50, 34, -14, -106? -254 What is next in 496, 2066, 4696, 8380, 13112, 18886, 25696, 33536? 42400 What comes next: -659, -853, -1011, -1133, -1219, -1269, -1283? -1261 What is next in 373973, 373975, 373979, 373985, 373993, 374003, 374015? 374029 What is next in 19, 139, 365, 697? 1135 What is the next term in -3961, -3900, -3839, -3778, -3717? -3656 What comes next: 5570, 5568, 5564, 5558, 5550? 5540 What is the next term in 259, 981, 2185, 3871? 6039 What is next in 586, 559, 514, 451, 370, 271? 154 What comes next: 30, -61, -164, -285, -430, -605, -816? -1069 What is next in 241132, 241130, 241126, 241120? 241112 What comes next: -27066, -27046, -27016, -26970, -26902? -26806 What comes next: -7391, -7265, -7139, -7013? -6887 What comes next: 9674, 9675, 9676, 9677, 9678, 9679? 9680 What is next in -94793, -379131, -853027, -1516481, -2369493, -3412063, -4644191? -6065877 What is the next term in 4311, 17433, 39295, 69891, 109215, 157261, 214023? 279495 What is next in -498, -2016, -4542, -8076, -12618, -18168? -24726 What is next in 8214, 8224, 8236, 8250, 8266, 8284, 8304? 8326 What comes next: 96353, 192706, 289059, 385412? 481765 What is next in -5, 655, 1755, 3295, 5275? 7695 What comes next: -205, -358, -467, -520, -505, -410, -223, 68? 475 What is next in 21397, 21398, 21399, 21400, 21401? 21402 What comes next: 343, 976, 2031, 3508? 5407 What is next in 1332, 787, -130, -1425, -3104, -5173? -7638 What is the next term in -446, -3652, -12376, -29378, -57418, -99256? -157652 What is next in 290, 1230, 2816, 5048, 7926, 11450? 15620 What comes next: -7663, -15336, -23019, -30718, -38439, -46188, -53971? -61794 What is the next term in -886, -483, -82, 317, 714, 1109? 1502 What is the next term in 4357, 8464, 12569, 16672, 20773, 24872,
{ "pile_set_name": "DM Mathematics" }
est to 5 in 0, 4, 2.7? 4 What is the closest to 33.8 in -2/17, 0.3, 3? 3 What is the nearest to 0 in -0.4, 4/7, -8, -1/2? -0.4 What is the nearest to 2/3 in -0.5, -1, 2, 0.04? 0.04 Which is the closest to 1? (a) 0.03 (b) 0.3 (c) -6 b Which is the nearest to -4? (a) 2.1 (b) -4 (c) -2 (d) -0.1 b What is the nearest to 2 in 2/5537, 4, -4, -3? 2/5537 Which is the nearest to 0? (a) 4 (b) 9.7 (c) -1 c Which is the nearest to 0.1? (a) -4/7 (b) -3/5 (c) 2 (d) 11 a What is the nearest to 5 in -4, -2, 3, 0.4? 3 Which is the nearest to 0? (a) 1 (b) -0.1 (c) 2 b Which is the closest to -0.2? (a) 16 (b) -108 (c) -4 c What is the nearest to 2/11 in 1/3, -2, -1.4, -4? 1/3 What is the closest to 2 in -5/2, -1, 0.5, 0.03? 0.5 Which is the nearest to 2? (a) 1/4 (b) -4 (c) 9/11 (d) 4 c Which is the closest to -2/5? (a) 2 (b) -2/73 (c) -3 (d) 3 b Which is the nearest to 0? (a) -0.3 (b) 4 (c) 20 (d) 1 a What is the closest to 1 in -2/7, -2/3, -2, 2/179? 2/179 What is the closest to -2 in -1/6, 1/5, -27, 7/3? -1/6 What is the nearest to 1 in 4, 0.11, 1, 0? 1 What is the closest to -2 in -0.36, -3, 5? -3 Which is the nearest to 13? (a) 3 (b) -3 (c) 0.04 (d) 0.051 a What is the nearest to 0 in 34, 5, -2/9, -0.05? -0.05 What is the closest to 0 in 2/5, 0.2, -3/2? 0.2 What is the closest to -4/5 in -2, -1/8, 3/4? -1/8 Which is the nearest to -3? (a) -2/5 (b) 1 (c) 13.4 (d) 1/11 a Which is the closest to -3? (a) 1/5 (b) 0.029 (c) -0.3 c What is the nearest to 1 in -1/2, 3.33, -4, 0.3? 0.3 Which is the nearest to 0.1? (a) -22 (b) -2/7 (c) -1/5 c Which is the nearest to -0.02? (a) 1/28 (b) 4 (c) 0.2 (d) 1 a What is the closest to 0.32 in 0.1, -0.5, 0? 0.1 What is the closest to 3/4 in 0.3, 4, -6? 0.3 What is the nearest to 1/4 in 0.5, 16, -2/11? 0.5 What is the closest to 7 in 3, 34, 2/7, -1? 3 Which is the closest to -6? (a) 0.5 (b) -3 (c) -4 (d) -0.3 c What is the nearest to 1/4 in 3, -473, 6/7? 6/7 What is the closest to -0.19 in 3/4, 0.5, 0.4, -0.1? -0.1 Which is the closest to -10/19? (a) 4/7 (b) -2/11 (c) -0.5 c What is the nearest to 0.1 in -0.4, 2, 1/6, -0.3? 1/6 Which is the nearest to -0.1? (a) 3 (b) 1 (c) -7 b Which is the nearest to 2/7? (a) -0.5 (b) 8/5 (c) 2 (d) 0.3 d What is the closest to 1/4 in -19/4, -2/9, 0.3? 0.3 What is the closest to -1 in 1.3, 1, 0.07, -0.02? -0.02 Which is the nearest to 2.4? (a) 18 (b) 3/5 (c) -2 b What is the nearest to 1 in 1/3, -0.3, -0.4, -5? 1/3 What is the closest to 2/7 in -0.3, -24, 0.1? 0.1 What is the nearest to -23 in -4, -1, 4? -4 What is the nearest to -5 in 0.4, 0, 9, -6? -6 Which is the closest to 0.2? (a) 0 (b) 0.12 (c) -7/4 b Which is the nearest to 0.01? (a) -3 (b) 0.3 (c) 1 (d) 1.3 b Which is the closest to 25? (a) 0 (b) -7 (c) 3/8 c What is the closest to 5/2 in 8, 0.2, 1, 20? 1 What is the nearest to -1/2 in -3, -0.1, 3/5, -2/145? -0.1 Which is the closest to 1? (a) 2/13 (b) 0.6 (c) 428 b Which is the closest to -110? (a) 2 (b) -0.5 (c) -0.1 b What is the nearest to -1 in 0.1, -2/9, 0.2, -0.4? -0.4 Which is the nearest to -3? (a) -1/7 (b) 2/7 (c) -4 (d) 1 c What is the closest to 1 in -4, -3/5, 0, 1/6? 1/6 Which is the nearest to -4? (a) 2 (b) 1 (c) -4/7 c Which is the closest to -0.1? (a) -2 (b) -1/7 (c) -3/7 (d) -2/5 b What is the nearest to 4/7 in 3, -1/3, -2/7? -2/7 What is the nearest to -3 in 6, -0.1, -2/5? -2/5 Which is the closest to 0? (a) 5 (b) -0.42 (c) 4 (d) -12 b What is the nearest to 6/11 in 0.037, -2, 0.5? 0.5 What is the closest to -1 in 33, -0.1, 0.7? -0.1 What is the closest to -0.2 in -11/4, 4/7, 2, -0.4? -0.4 Which is the closest to 0.1? (a) -1/9 (b) -3/2 (c) 5 a What is the nearest to 0.06 in -1, 0.2, -2/3? 0.2 Which is the nearest to -1? (a) -0.1 (b) -33 (c) -2 a What is the closest to -7 in 0.1, -0.3, 0, -0.4? -0.4 What is the closest to -1/3 in 374, -5, -0.5? -0.5 What is the closest to 0 in -66, 5, -0.1? -0.1 Which is the nearest to -4? (a) -1 (b) 2 (c) -5 c What is the nearest to -2/31 in 3/7, 5/6, 2? 3/7 What is the closest to 0.035 in 5, 3, -3, 0.3? 0.3 What is the nearest to 0.19 in 2/7, -3, 0.01? 2/7 What is the closest to -0.2 in -73, -2/7, -2? -2/7 Which is the closest to 1? (a) 3/4 (b) 0.4 (c) 0.3 (d) 25 a Which is the closest to 0.12? (a) -4 (b) 0.5 (c) -0.4 b Which is the closest to -5.3? (a) 0.2 (b) -3 (c) 9 b What is the closest to 1 in 1/5, 1/11, 3, 1.5? 1.5 Which is the nearest to 4? (a) 1 (b) -3/5 (c) -1/7 (d) 0.4 a What is the closest to 0.15 in -14, 1/3, 1/5, -7? 1/5 Which is the nearest to -792? (a) 0.06 (b) 4 (c) -0.4 c What is the nearest to -2 in -0.18, -2, 3? -2 Which is the nearest to 1/2? (a) 4 (b) -0.09 (c) -0.4 (d) -1 b What is the nearest to 6 in -1/4, 0.06, 3? 3 Which is the closest to 1? (a) -47.2 (b) 5 (c) -1 c What is the closest to 0 in -3, 26/5, -6? -3 Which is the nearest to 1/3? (a) -1/3 (b) 2/27 (c) 2/7 (d) 3/4 c Which is the nearest to 0.01? (a) 5 (b) 0.4 (c) -3/8 (d) 3 c What is the nearest to 0.2 in 1/2, 3/5, 98? 1/2 Which is the nearest to 9/32? (a) 1/4 (b) 4 (c) -0.3 (d) 2/7 d Which is the closest to -1? (a) -3 (b) 6 (c) 18 a Which is the closest to -15? (a) -2/7 (b) -2/17 (c) -8 c Which is the closest to -1/2? (a) -0.4 (b) 0.1 (c) -118 (d) 0.3 a Which is the closest to 1/19? (a) 0.07 (b) -5/3 (c) 3 a What is the nearest to -20 in -0.3, -0.06, -5? -5 Which is the closest to 0? (a) -0.2 (b) -1/6 (c) -1/4 (d) 3 b What is the nearest to -0.1 in 0.189, -1/3, -2/3, 5? -1/3 Which is the closest to -2? (a) -2/3 (b) -46 (c) 5 a What is the nearest to -45 in 2/5, 2, -0.2, -0.4? -0.4 What is the nearest to -25/3 in 0.2, 1/8, -2/3? -2/3 Which is the closest to -1/7? (a) -5/2 (b) 0.4 (c) -5 b What is the closest to 11 in -2, 0, 1/6? 1/6 What is the nearest to 0.1 in 4, 0.1, -4? 0.1 What is the nearest to 2 in -1, -4, -10/11? -10/11 Which is the nearest to 0? (a) -0.5 (b) 0.3 (c) -0.1 (d) 0.05 d What is the nearest to 0.2 in 2/13, -4, -5/4, -3/35? 2/13 Which is the closest to -0.1? (a) -0.052 (b) 0.1 (c) 2/5 (d) 2/35 a What is the closest to -2 in 6, -1/2, 1/12, 5? -1/2 Which is the nearest to -0.5? (a) 7 (b) -2/9 (c) 5 (d) -5 b Which is the closest to 2? (a) 0.5 (b) -4 (c) 2/3 (d) 0 c What is the closest to -2/7 in 0.5, 1/28, 1/5, 0.1? 1/28 What is the nearest to -1/2 in -1/28, -0.1, 0.2, 6? -0.1 Which is the nearest to 2/7? (a) -0.3 (b) -10 (c) 0.4 c Which is the nearest to 4? (a) 1.8 (b) -3 (c) -0.4 a Which is the nearest to 0.2? (a) -9/4 (b) 2 (c) 3 b What is the nearest to 6 in 1, 63, 5? 5 Which is the closest to -1? (a) 48 (b) -4/5 (c) 0.2 (d) -0.2 b What is the nearest to -2/5 in -1, -4, 3/4, -0.3? -0.3 What is the nearest to 0 in 2/17, -2/5, -3.5, 5? 2/17 Which is the closest to -1/3? (a) 4 (b) 16/11 (c) -0.9 c Which is the closest to 0.1? (a) 4 (b) -5/4 (c) -1/3 (d) -1 c Which is the nearest to 16? (a) 4/21 (b) 0 (c) 3/4 c What is the nearest to 0.1 in 0.3, 301, 0.01? 0.01 Which is the closest to 7? (a) 3 (b) 2/7 (c) 10 c Which is the nearest to -0.3? (a) -5 (b) -2/5 (c) 5 (d) 0.3 b What is the closest to 12 in 0.3, 0.5, 0.1, 0.7? 0.7 Which is the nearest to -2? (a) -1 (b) 0.03 (c) 36 (d) -4 a Which is the nearest to -0.07? (a) 3 (b) 2/5 (c) 0.11 c What is the closest to -1/2 in 0.1, 0.2, -0.3, 9.7? -0.3 What is the closest to -34 in -3, -0.3, 1/4, -2/7? -3 What is the nearest to 0.1 in -1/9, -12, 1? -1/9 What is the closest to -0.8 in 0.1, 0.4, 0.2, 2? 0.1 Which is the closest to 0? (a) -5 (b) -10 (c) 0.1 c Which is the closest to -1.2? (a) 5 (b) -1/14 (c) -2/9 c What is the nearest to 0 in -2, 4, -17/5, -1/5? -1/5 What is the nearest to 141 in 2/7, -2/9, -10? 2/7 Which is the closest to -1? (a) 2 (b) -0.2 (c) 1/6 b Which is the nearest to -12? (a) -9 (b) -1 (c) 5 a Which is the closest to -15? (a) 7 (b) 1 (c) 2/25 c What is the closest to -2 in 28, -4, -1/4? -1/4 What is the closest to -4/45 in 0.1, 2/13, -3/4, 2? 0.1 What is the nearest to 186 in 4, -0.1, -4? 4 Which is the nearest to -1? (a) 4 (b) -0.01 (c) 6/11 (d) 3/8 b Which is the nearest to 2/5? (a) 5 (b) 0.2 (c) -58 b Which is the closest to -1?
{ "pile_set_name": "DM Mathematics" }
). Let u be (4/7)/((-2)/z). Suppose 5 = 4*t + 3*n, t + u*n + 3*n = -3. Solve 2*w - 4 = -t*y, 3*y - 4*y - 10 = 5*w for w. -3 Let u(w) = -2*w**2 + 15*w + 11. Let o be u(8). Solve 0 = z - 5*h + o*h - 1, -h - 4 = 3*z for z. -1 Suppose -3*r = 3*o - 42, -o = -3*r - 2*r + 52. Let s = r - 7. Solve -4*l + 4*y - 12 = 0, 5*y - s = 1 for l. -2 Let p(y) = -y - 2*y - 1 - 2 - 4*y**2 + y**3 - 2. Let f be p(5). Solve 2*q - b = -2*b, f*q + 7 = b for q. -1 Let s = -204 - -207. Solve -4*g - 2*v - 4 = 14, -s*g = -3*v for g. -3 Let f(z) = -z**3 + 4*z**2 + 4*z - 3. Let r be f(5). Let g = r + 8. Solve g = -2*s - 5*x - 8 + 23, -s + 20 = 5*x for s. -5 Let s(n) = -n - 10. Let y be s(-6). Let d be 195/21 + y/14. Let a(l) = l**3 + 4*l**2 - 2*l - 6. Let o be a(-4). Solve 5*u + 11 = 3*i, 5*i = o*u + 2 - d for u. -4 Let x(z) = z**2 + 5*z + 4. Let y be x(-5). Let k(g) = 2*g + 2 - y*g + 0*g - 10. Let n be k(-6). Solve 2*r + 0*r - 6 = n*w, 0 = 4*r + 4*w for r. 1 Suppose 2*p - 16 = -2*p. Let d(l) = -l + 4*l - 2*l - 3. Let h be d(7). Solve 7*y = 2*y - p*j + 24, 4 = h*j for y. 4 Let i be (-158)/(-18) + 8/36. Solve 3*t + 4*l = -2, -5*l + 24 = -5*t + i for t. -2 Let o(s) = -s**3 + 7*s**2 + s - 3. Let j be o(7). Suppose -j*i + 0*i = -8. Let n = 0 + i. Solve l + 4*l - 5 = n*c, 5 = 2*c + 5*l for c. 0 Suppose 4*c - 5 + 23 = 5*y, -4 = -4*y - 2*c. Solve -s + 5*s = 3*j - 20, 2*j + 5*s + y = 0 for j. 4 Let b = 155 + -142. Suppose 6 = -3*u + 57. Solve 5*q - b = 12, 3*q - u = -2*r for r. 1 Let u(t) = t**3 + 6*t**2 - 10*t - 1. Let n be u(-7). Solve -3*r + 15 = 0, 5*w + n = 3*r - 2*r for w. -3 Let l = -6 - -3. Let m be (-316)/(-36) + 4/18. Let n = l + m. Solve 1 = r + 3*z, -4*r - 10 = 2*z + n for r. -5 Let t be (-126)/(-441) + 2/14*257. Solve 2*j - 3*h - 19 = 0, 4*j - 4*h + 5 = t for j. 5 Suppose -6 = -4*a + 6. Suppose -5*p = 5*h, a*h - 15 = -2*h - 2*p. Solve -h*u = -j - 3, 5*u = -0*u - 5*j + 15 for u. 1 Let s(u) = -u**3 - 2*u**2 - 3*u - 3. Let i be s(-2). Let k(p) = p - 8. Let o be k(12). Solve 0 = -x - x + o*v + 22, x + 9 = -i*v for x. 3 Let p be 1/(-2)*(-4 + -4). Let c(n) = -7 - 2*n**2 + n**2 - n**2 + n**2 + 7*n. Let r be c(5). Solve -3*z + r*a + p = -5*z, 5*a + 20 = 0 for z. 4 Suppose -4*d = -0*d + 20, h - 2*d = 14. Suppose h*n - 5 = 3*n. Solve -n*p = -q - 10*p, -5*p - 5 = 2*q for q. -5 Let q = -6 - -6. Let k be (-2)/4*(0 - q). Suppose 2*t - 4 = 6. Solve -2*z = -0*z - t*f, k = f + 2 for z. -5 Let r(k) = -2*k + 9. Let c be 6/(-33) - (-136)/22. Let l be r(c). Let m = l + 4. Solve 0 = q + 4*v + 1, q + 8 = 2*v + m for q. -5 Let i(w) = w + 11. Let f be i(-7). Suppose 0*o = f*o - 28. Suppose 4*d = 2*s - 82, -o*s + 175 = -2*s - 4*d. Solve 2*m = -5*j - 2*m + s, j - 5*m + 17 = 0 for j. 3 Let a(j) = 2*j**2 + 5*j + 3. Let p be a(-5). Let q = 58 - p. Let l = -21 + q. Solve 0 = -4*u - 4*f + l*f + 5, u = -4*f - 4 for u. 0 Suppose i = -2*i + 21. Solve o - i = 3*l - 19, -l = 5*o - 4 for l. 4 Let h be (-1 - 2) + -13 + 18. Solve 0 = -4*g - 2*j + h, 4*g + 2 = g - 5*j for g. 1 Let i = 10 + -9. Suppose o = -o - 2. Let q = i - o. Solve 0 = q*d + 5*h - 3, 3*h + 10 - 3 = d for d. 4 Suppose -6 = 2*d + 2*p, -p = 4*d - 2*p - 13. Solve -3*l + 2*n + d = 0, -3*l - 2*n - 1 - 13 = 0 for l. -2 Let k = 15 - 6. Suppose -3*l + k = -0*l. Suppose -c = -2 - l. Solve 4*u + c = -j, -2*u - 19 = -0*u - 5*j for u. -2 Let m(g) = g**2 - 5*g - 9. Let y be m(8). Suppose a - y = -4*a. Solve 0 = i + 2*i + 3, -3*i - a = -5*v for v. 0 Let q = -23 - -24. Solve f + 3 = q, 5*v = -3*f - 6 for v. 0 Let b be 3*(-1 - 8/3). Let u = b + 19. Solve -t + 0*z + 2*z - u = 0, 5*z = -2*t + 11 for t. -2 Suppose -4*i + 25 = i + s, 4*i + 5*s - 20 = 0. Solve -i*m - 15 = -2*j, 5*m + 2*j + 9 = -6 for m. -3 Suppose 13 - 1 = 4*i. Solve -i*p - 4*y = 2, -3*p - 2*p = -y + 11 for p. -2 Let r be (-9*8/24)/((-2)/4). Solve 3*j + 3 = 0, p - r = 2*j + 1 for p. 5 Let g = 0 + 1. Let x be -1 - (-22 - -2*g). Suppose 3*j + 5*s = 34, 3*j + 2*s + 0*s - x = 0. Solve -5*m - 3*o = -o + 24, -j*o = m + 10 for m. -4 Let a = 17 - 9. Let m = -4 + a. Let x(l) = -l + 4. Let z be x(m). Solve z = t - 4*w - 5 - 16, 0 = -2*t + 5*w + 30 for t. 5 Let m = -92 + 134. Let g = m + -23. Solve 7 - g = 3*q, -3*q - 17 = -5*l for l. 1 Let v be (-2)/(-12)*3*(8 + -8). Solve v = -4*c - d + 14, 0*c = -2*c + 2*d + 12 for c. 4 Suppose 5 - 21 = -4*k. Suppose -k*z + 6 = -2*z. Solve -z*l - 2*l - 2*t = -18, t + 2 = 3*l for l. 2 Suppose 2*g - 4*w - 16 = 0, g - 4 - 1 = w. Solve 5*p + 3*x = -g, 1 + 1 = -p + x for p. -1 Suppose 2*w = 6*w - 48. Let p = 17 - w. Let z be 1/(0 + (-1)/(-2)). Solve -2*x + 3*x + z*y + p = 0, -2 = 2*x + 2*y for x. 3 Suppose 5*r - 32 = 2*d, 5*r + d - 27 = -2*d. Let v = -3 + r. Solve 2*a = -v*z + 16, -5*a = -z + 2*z - 14 for a. 2 Suppose -5*a - 42 - 43 = 0. Let q = -12 - a. Solve -5*l - c - 25 = 0, q*l + 11 = -2*c - 19 for l. -4 Let n = -6 - -10. Let h(j) = 11*j**3 + 1. Let v be h(-1). Let p = -8 - v. Solve -o - 2 = f - p*o, 0 = n*f - o - 1 for f. 1 Let d(w) = w**3 + 2. Let m(i) = -i + 4. Let u be m(4). Let s be d(u). Let q be 1/((-1)/(-2)) - -1. Solve -q*c = -4*a + c + 8, s*a = c - 1 for a. -3 Suppose -5*h + 10 = -5*c, -10 = -5*h - c + 4*c. Solve 0 = -3*b + i - h, -6*i + 2*i + 20 = 0 for b. 1 Let m be (4/6)/(3/(-18)). Let i = m - 3. Let j = i - -11. Solve 2*y - 1 = 4*o - 5, 0 = -5*o - 2*y - j for o. 0 Suppose 0*g + g - 2 = 0. Solve 4*y + 15 = -g*r + 3*r, 0 = 2*r + 4*y + 18 for r. -1 Suppose 2*w = -2*w - 4*z + 8, 4*w + 2*z - 4 = 0. Suppose 5*a - 18 = 3*h, 1 = 5*a - 4*h - 18. Solve a = 4*u - r, 2*u - 3*r - 2 - 7 = w for u. 0 Let s = 5 - 3. Let l(b) = -b**3 - 5*b**2 - 5*b - 6. Let n be l(-4). Let f = n + 4. Solve 14 = s*q + f*o, -3*o = -1 - 5 for q. 5 Suppose 3*a + 5*c = 2, c - 2 = -a - 0. Let k(d) = -d**2 - 12*d - 9. Let u be k(-11). Solve -a*r - h = 3*h - 4, -r + 3 = u*h for r. -1 Suppose 32 = 4*r + 3*v, -r - 31 = -4*r - 4*v. Suppose 4*d - 3 = 3*d. Solve -r*j - 2*o + 12 = -13, 5*j - d*o = 0 for j. 3 Let q be 1/(-3)*-3 + 2. Solve -q*l - 5*m = 20 + 15, 5*l = -m - 29 for l. -5 Suppose 1 + 1 = k. Let m = -7 + 10. Let v = m + k. Solve -11 = -q + v*c + 7, 2*c = -8 for q. -2 Let h be -2*(-1)/(-2) + 0 + 3. Solve 0 = -2*q - 3*w + 8, -q - h*q + 4*w = -12 for q. 4 Let b(k) = -k + 1. Let q be b(-4). Suppose 9 = -q*h + 34. Solve -t = 3*j - 8, -6*j + 4*j + h = t for j. 3 Let l(a) = a**3 - 11*a**2 - 12*a + 4. Let j be l(12). Let k be -1*2 - (-2 - j). Solve -k*y - 2 = 5*m, 4*m = -0*m - 2*y - 4 for m. -2 Let h be 36/(-6)*(-2)/3. Let i(m) = 0*m + 27 + 0*m - m**2 + m**3. Let l be i(0). Solve -p + 3*y = h*p - l, 5 = -5*p - 5*y for p. 3 Suppose 4*q - 10 = u, -2*q - 5*u = 3*q. Solve -q*p + 5*w = -15, 0*p = 4*p - 5*w - 15 for p. 0 Let b = 9 + -10. Let w be b/(1/(-16)) - 2. Solve 2*y = 2*i - w, -4*i - y - 2 = y for i. 2 Let d = 4 + -2. Suppose k + 9 = -d*k. Let j be 0/(-1 + (-9)/k). Solve j = h - t + 4, -27 = -4*h - 4*t - 3 for h. 1 Let p(g) = g**2 + 4*g. Let m be p(-3). Let i be (2 - 2)/(4 + m). Suppose i = -x - 4, 5*k - x = 2*x + 22. Solve -5 = -k*v - 3*f - 0*f, 4*f = -v for v. 4 Let m(r) = -r + 2. Let y(n) = -n + 4. Let d be y(-6). Let s be m(d). Let g be -1 - -2 - s - 3. Solve 2*o + 5*t = -g, -3*o + 2 = 2*o + 4*t for o. 2 Suppose y - 5 = -g + 3, -23 = -y - 4*g. Solve -14 = 4*t - 2*l, -16 + y = 5*t - l for t. -2 Let s(a) = -17*a + 2. Let f be s(-2). Suppose j - 2*j = 2*i - f, j + i - 32 = 0. Solve -3*x = x + 4*h - j, -4*h = -20 for x. 2 Let z(y) = 9 - y + 2*y - 3*y**2 - 10 - y**3 + 4. Let v be z(-4). Solve -5*w = 2*l + 6, -3*w + 4*l = -l - v for w. 0 Let l(g) = -g**2 + 3*g + 2. Let k be l(3). Let y(b) = b**3 + 2*b - 3. Let z be y(k). Suppose -5*j + 24 = z. Solve 5*h - j*x = 3*h + 3, 4*x = 4*h - 4 for h. 0 Let f(s) = s**2 + 12*s + 39. Let l be f(-7). Solve 10 = -l*a - z - 0, 2 = 2*a + 4*z for a. -3 Let u be (50/(-30))/((-1)/3). Solve 2*b + 20 = 5*b + 2*d, -u*b = -d - 16 for b. 4 Suppose 2*y - 28 + 110 = 5*p, 0 = 5*y + 5. Let o be (-4)/(-2) - (-2 - -2). Solve 2*z - o*g + 2 - p = 0, 3*z = -2*g - 4 for z. 2 Let n be ((-12)/10)/((-9)/30). Let i be 6/(-2) + 26 + 0. Solve n*x = 2*z + x - i, -29 = -z + 5*x for z. 4 Let x(s) = s**2 + 7*s + 8. Let r be x(-7). Suppose 17 = 3*f + r. Solve -6 = -f*c, 3*c + 18 = -4*k + 2*c for k. -5 Suppose 5*c = 25, 4*a - 2*c - 6 = -0*c. Solve 2*t - 4 = a*z + 3*t, -3*z + 2*t = 14 for z. -2
{ "pile_set_name": "DM Mathematics" }
1). Suppose w*j = 5*k + 50, -k - k = -3*j + 32. Calculate the highest common divisor of 4 and j. 4 Let b(a) = 5*a**2 - a + 2. Let r be b(-2). Let c be (-8)/(-44) - 1054/(-11). What is the highest common factor of r and c? 24 Let l be (-96)/(-21) + 6/14. Suppose -n + 21 = -r - 19, -4*r + 245 = l*n. Calculate the greatest common divisor of n and 30. 15 Let q be (-93)/(-18) + 4 - (-1)/(-6). Suppose -2*g + 1 = -5. Calculate the greatest common factor of g and q. 3 Let u = 13 - 8. Suppose -4*s + 176 = r, -2*s - r + 106 = -u*r. Let j(l) = -l**2 - 8*l + 3. Let q be j(-6). What is the greatest common factor of q and s? 15 Let l(q) = -q**3 - 10*q**2 + 9*q - 1. Let w be l(-11). Calculate the greatest common factor of 63 and w. 21 Let y(a) be the first derivative of a**4/4 + 7*a**3/3 + 3*a**2/2 - 2*a + 1. Let k be y(-6). What is the highest common factor of 2 and k? 2 Let x(s) = s**3 + 8*s**2 - s - 6. Let i be x(-6). Let a be 10/(-4)*i/(-20). Let w be a*(-3 - 13/(-3)). Calculate the highest common divisor of w and 48. 12 Let p be (-2)/3*54/(-4). Let v be 3/(-2 - 10/(-8)). Let o(y) = -2*y**3 - 4*y**2 + 5*y + 1. Let f be o(v). Calculate the highest common divisor of p and f. 9 Suppose -u - 4*u + g = -284, 0 = -2*u - 3*g + 100. What is the highest common divisor of u and 7? 7 Suppose 4*f + 0*f - 36 = 0. What is the highest common factor of 3 and f? 3 Let m(t) = -20*t - 17. Let y(v) = -v**2 - v - 2. Let z be y(-3). Let r be m(z). Calculate the greatest common factor of r and 13. 13 Suppose 0 = -4*u - l + 22 - 5, 0 = -4*u - 3*l + 27. What is the highest common factor of 9 and u? 3 Suppose 0*j - 3*j = -9, 0 = 5*x - 2*j - 164. What is the greatest common factor of 85 and x? 17 Let f = -4 - -7. What is the highest common factor of f and 12? 3 Suppose 4*b = 3*y + 24 + 54, 0 = -4*b - y + 86. What is the highest common divisor of 42 and b? 21 Suppose 3*t = t - 6, -2*v - 14 = -2*t. Let k be (v/15)/(2/(-18)). Calculate the greatest common divisor of k and 48. 6 Let u(p) = -p**2 + 6*p. Let k be u(6). Suppose 0 = -k*i - i + 22. Let v be (-11)/(1 + (-12)/10). What is the highest common factor of i and v? 11 Let o be ((-34)/4)/((-18)/12)*3. Calculate the greatest common divisor of 34 and o. 17 Let i(u) = 128*u. Let x be i(1). Calculate the greatest common factor of x and 16. 16 Suppose b + 2*b + 12 = 0. Let z(w) = -9*w - 5. Let g be z(b). Calculate the greatest common divisor of 31 and g. 31 Let y(s) = 2 + 5*s**2 - 6 + 3. Let l be y(1). Let w be -6*l/((-12)/9). What is the highest common divisor of w and 9? 9 Let m = -14 + 16. Calculate the highest common factor of 14 and m. 2 Let k = -4 + 6. Let i be k/(-4)*(-72)/(-3). Let f = i + 61. Calculate the highest common divisor of f and 7. 7 Let w = 4 + -3. Let p be (9 + 156)*(w - 0). Calculate the greatest common divisor of 15 and p. 15 Let x(w) = -2*w - 5. Let b be x(-5). Suppose 85 = b*l - 3*v, -3 = -2*l - 0*v - 5*v. Calculate the highest common divisor of 2 and l. 2 Let v(f) = -9*f**2 + f + 14. Let u(k) = 5*k**2 - 7. Let l(s) = 11*u(s) + 6*v(s). Let j be l(-5). What is the greatest common divisor of 1 and j? 1 Let f be (1 - 154)*2/(-6). Suppose 5*b = f + 104. Let z = 1 + b. What is the greatest common divisor of 16 and z? 16 Let q = 72 - -60. Let a(c) be the first derivative of -c**4/4 + c**3 + 3*c**2/2 + 3*c - 4. Let k be a(3). Calculate the highest common factor of k and q. 12 Let d be (((-315)/14)/(-3))/(1/2). Calculate the highest common divisor of d and 285. 15 Let o = 200 - 101. Let v be 6 + (-7 - -3 - -7). Calculate the highest common divisor of v and o. 9 Let k = -3 + 7. Suppose 3*a = k*a - 14. Let x = 7 - -63. What is the highest common divisor of x and a? 14 Let p = 0 - -2. Suppose -p*x + 0*x = 0. Suppose -199 = -4*l - x*l + 3*f, 5*f - 93 = -2*l. What is the greatest common factor of l and 7? 7 Let r = 109 - 81. Calculate the highest common factor of 16 and r. 4 Let a be (-9)/3 + 93 + 0 + -2. Calculate the greatest common factor of a and 220. 44 Suppose 5*u - 243 = 2*u. What is the highest common divisor of 54 and u? 27 Suppose p - 4*p = -6. Suppose p*u + 5*l = 239, -5*l + 0*l = 3*u - 356. What is the highest common factor of u and 13? 13 Suppose 0 = 5*f - 2 - 28. Calculate the greatest common factor of 54 and f. 6 Let u be 0 - (1 - 6*1). Let o = -3 + u. Calculate the greatest common factor of o and 4. 2 Let i = 52 + -87. Let n be 7/i + (-602)/(-10). What is the highest common factor of n and 20? 20 Suppose 0 = 4*r - 0 - 4. Let z = -9 - -4. Let q = -3 - z. What is the greatest common divisor of r and q? 1 Suppose -k + 11 = -21. What is the highest common divisor of k and 80? 16 Suppose -3*w = -0*w - 168. What is the highest common factor of w and 8? 8 Let s(w) be the second derivative of w**3/2 + 3*w**2 - 8*w. Let m be s(0). Let y(v) = -3*v - 1. Let p be y(-1). Calculate the greatest common factor of p and m. 2 Let b be 15*((-88)/40 + 3). Suppose 15 = x + 6*h - 2*h, 0 = 2*x - 3*h - 19. Suppose l - 1 = x. Calculate the greatest common factor of b and l. 12 Let o = -148 + 379. What is the highest common factor of 21 and o? 21 Let q be (-68)/(-6) + (-4)/(-6). Suppose -4*h + h = -4*v + 159, 2*h + 3*v + 106 = 0. Let u = 83 + h. Calculate the greatest common divisor of u and q. 6 Suppose 3*y = -t + 112, -2*y + 3*t = -4*y + 84. What is the highest common factor of 24 and y? 12 Let l(m) = 4*m + 2 - 1 - 3*m. Let x be l(4). Suppose -3*i = 6*q - 2*q - 162, -5*q - x*i = -200. What is the greatest common factor of 14 and q? 14 Let u(d) = 14*d - 1. Let y be u(1). Let q(a) = -4 + a + 6*a**2 - 2*a - 2*a. Let l be q(-4). Calculate the highest common factor of y and l. 13 Suppose 8*b - 41 = 127. Calculate the greatest common divisor of b and 147. 21 Suppose 4*y = -2*j + 22, 5*j - 5 = 4*j + y. Let x(g) = 27*g + 9. Let n be x(j). What is the greatest common factor of 18 and n? 18 Let f(a) = -a + 7*a**2 - a**3 - 2 + 5*a + 8. Let t be f(6). Calculate the highest common factor of t and 6. 6 Let n(l) = 6*l - 18. Let t be n(7). What is the greatest common divisor of 48 and t? 24 Let s be (-27)/(-7) - 2/(-14). Calculate the highest common divisor of s and 44. 4 Let y(t) = -t**2 + 1. Let l be y(-1). Suppose 0 = -l*s + 2*s - 2. Let m be (-11 - 1)*s*-1. What is the highest common divisor of 108 and m? 12 Suppose 0*k + 140 = 5*k. Calculate the greatest common factor of k and 42. 14 Suppose 5*u = -1 + 11. Let o = 4 - u. Suppose -h + 4*a = 6, -2*h - a + o*a = -9. Calculate the highest common factor of 12 and h. 6 Suppose 2*a + a = 567. Calculate the greatest common divisor of 63 and a. 63 Suppose 3*o - 4*o + 25 = 0. What is the greatest common divisor of o and 10? 5 Suppose 476 = 2*n + 2*n. Suppose 0 = j - 4 - 13. What is the highest common factor of n and j? 17 Let z = -47 - -108. Suppose -1 = 4*a - z. What is the greatest common divisor of a and 5? 5 Suppose -16*c = -15*c - 50. Suppose 3*v = -0 + 6, 0 = -x - 5*v + c. Calculate the highest common factor of 10 and x. 10 Let t = -23 + 33. Suppose -4*u = -t - 86. Calculate the highest common factor of u and 60. 12 Let f(l) = -7. Let w(t) = t - 8. Let h(j) = 3*f(j) - 2*w(j). Let m be h(-9). What is the greatest common factor of m and 65? 13 Suppose 0 = 2*m - 4*u - 30, 6*u - 1 = -m + u. Let z = 192 - 93. Calculate the highest common factor of z and m. 11 Let h be -18 + 5 + 6/(-3). Let b be (-2)/(-5) - (-51)/h. Let d be 1 + (114/b)/(-2). What is the highest common factor of 50 and d? 10 Let p = 38 + -32. What is the greatest common divisor of p and 78? 6 Let g be 203/21 - (-1)/3. Let m be 442/2 - (-4)/(-4). Suppose -5*c - f = -3*c - m, -5*f + 550 = 5*c. Calculate the greatest common divisor of c and g. 10 Suppose -a - 2 = -2*j, a = -a - 4. Suppose 13 = x - 4*t, 3*x = 2*t + 7 + 2. Let g be 0 - -16*(x - j). Calculate the greatest common factor of 16 and g. 16 Suppose 0 = 3*p + 5*c, 10 = -p - 7*c + 2*c. Let l(z) = z**3 - 4*z**2 - 3*z + 2. Let g be l(p). Calculate the greatest common factor of 24 and g. 12 Suppose -3*s + a = -101, -3*a - 40 = -4*s + 98. Let l = -55 - -77. What is the greatest common factor of s and l? 11 Suppose 6*c - 416 = 3*c - f, 3*f + 572 = 4*c. Calculate the highest common factor of c and 56. 28 Let w(j) = -j**2 - 7*j + 30. Let l be w(-9). What is the greatest common factor o
{ "pile_set_name": "DM Mathematics" }
). Let o be (d/33)/(2/6 + -1). What is o rounded to the nearest 10? 170 Let b = 166867.716 - 675145520.716. Let s = b + 674978697.0000019. Let m = 44 - s. Round m to 7 dps. -0.0000019 Let j = -165063 - -66483. Round j to the nearest 1000. -99000 Let r = 1659 - 1659.00001749. Round r to 6 dps. -0.000017 Let s = 10.59999659 + -10.6. Round s to five decimal places. 0 Let b = -0.084 - -37.084. Let q = 40.5 - b. Round q to zero dps. 4 Let a be (-2)/(-6) + 5/3. Let z(u) = 2 - 2*u**2 - 788*u**3 - 2*u**a - 3*u + 2*u**2 + 4*u**2. Let t be z(2). What is t rounded to the nearest 1000? -6000 Let u = 0.081 + 51.919. Let n = u - -39. Let y = n + -90.9999949. What is y rounded to 6 dps? 0.000005 Let r = -54512 + 273012. Round r to the nearest 1000. 219000 Let m = 10964 - -8021. Suppose 0*n - n + m = 0. Suppose 2*t = 4*a - 15194, -5*a + 2*t = -3*t - n. What is a rounded to the nearest 1000? 4000 Let t = 602517 - 601505.918. Let o = -1028 + t. Let p = 0.218 + o. What is p rounded to zero dps? -17 Let h = -492.9566 - -493. Let q = h - 0.0433767. Round q to 6 dps. 0.000023 Let m be 6/9 + (-20)/(-6). Suppose 7*t - 8259 = 2017. Let q be t - (-12 + 4)/m. Round q to the nearest 100. 1500 Let w = -6249 + 23087. Let i = w + -16850.9984. Let b = i - -13. Round b to 3 decimal places. 0.002 Let k = 14.6 - 14.788. Let b = 0.19 - 0. Let d = b + k. Round d to two dps. 0 Let f = -23 + 19. Let h be (-4 - (6600 + f))*-2000. Round h to the nearest one million. 13000000 Suppose -d + 5*n - 12 = 0, 0 = 2*n - 1 + 3. Let j = -34 + d. What is j rounded to the nearest ten? -50 Let s(b) = -b**3 - 14*b**2 - 14*b - 11. Let m be s(-13). Suppose 0 = m*v + 6, -4*v = -4*k - 0*v + 10692. What is k rounded to the nearest 100? 2700 Let q = -180 - -118. Let r = q - -62.0000108. Round r to six dps. 0.000011 Let f = 56242682 - -64078008. Suppose -62999984 = 3*r - 4*w, 4*r + 5*w + f = 36320670. Round r to the nearest one million. -21000000 Let h = 194.0001 + -194. Round h to 3 dps. 0 Suppose 73 = 4*b - 51. Let f = b + -24. Let w be (-52)/2*f/14. What is w rounded to 0 decimal places? -13 Let t = -0.17858 - 77.81142. Round t to zero dps. -78 Let b = 317.75883 - 525.758683. Let d = b + 208. What is d rounded to five dps? 0.00015 Let b = -581 + 647. Round b to the nearest integer. 66 Let p(y) = 1199860*y - 3. Let n be p(4). Let w = n - 15599437. What is w rounded to the nearest one million? -11000000 Let f = 5.239 - 8.4. What is f rounded to zero dps? -3 Let q = -23 - -18. Let d be 2/q - (-108004)/10. Let w be ((-3)/(-2))/(2/d). Round w to the nearest 1000. 8000 Let z = -820.8771 - -821. Round z to 3 decimal places. 0.123 Suppose -2 = 4*c - 18. Suppose c - 6 = -z. Let i be ((-66)/(-6))/(z/20). Round i to the nearest 100. 100 Suppose 21 = -2*u + 7. Let v be (-92 + -8)/((21/216)/u). What is v rounded to the nearest one thousand? 7000 Suppose 24*g = -5*g - 2221400. What is g rounded to the nearest one thousand? -77000 Let i be (1 + 0)*1*-15668557. Let h = i + 10214235. Let z = 2154322 + h. What is z rounded to the nearest 1000000? -3000000 Suppose -3*k + 2*k = 0. Let t be k - (8/(-4) + -24998). Let q be 392/((-3 + 1)/t). Round q to the nearest 1000000. -5000000 Let k = 65390 - 129490. Round k to the nearest ten thousand. -60000 Let b = -8 - -8. Let s = b - -2. Suppose j = 3*w - 1558, s*j - 7*j = 4*w - 2090. What is w rounded to the nearest 100? 500 Let d = 118.76 - 0.76. Let j = d + -118.00000097. Round j to seven decimal places. -0.000001 Let t(x) = 385*x - 15. Suppose 0 = d + 71 - 52. Let f be t(d). Round f to the nearest 1000. -7000 Let p = 94 + -107.6. Let l = 13.6000179 + p. What is l rounded to 6 decimal places? 0.000018 Let u = 542 + -542.00001565. Round u to 6 decimal places. -0.000016 Let c = 615389.94978 + 10.05022. Let f = -615400.09999885 + c. Let p = f - -0.1. Round p to seven decimal places. 0.0000012 Suppose 0 = 6*m + 1480170 - 13000170. Suppose -u + 2*u = -m. What is u rounded to the nearest 100000? -1900000 Let u = -54.4 - -128. Round u to the nearest ten. 70 Let b(p) = -p**3 + p**2 - 11. Let m = 2 + -2. Let x be b(m). Let l = 9 + x. Round l to the nearest 10. 0 Suppose -7*z + 12*z = -17550. What is z rounded to the nearest one hundred? -3500 Suppose -20 = -4*k + j, 4*j + 7 = -2*k - 1. Let q be 263/(0 + k/(-6692)). Let g be 9/36 - q/4. Round g to the nearest 10000. 110000 Let l = -13.379 - -13.4. What is l rounded to 2 dps? 0.02 Let g = -45.9496 + 46. What is g rounded to 2 decimal places? 0.05 Let n(i) = 42*i**2 - i - 2. Let q(y) = y**2 + 5*y + 2. Let z = 10 + -14. Let g be q(z). Let o be n(g). Round o to the nearest 10. 170 Let l be (1/(-2))/(4/(-24)). Suppose w + l*w + 404 = 0. What is w rounded to the nearest ten? -100 Let r = -224.501 + 223.4. Round r to two decimal places. -1.1 Let h = -509 + 1591. Let u = 1082.589 - h. Round u to one decimal place. 0.6 Let o = 484.00233 + -484. Round o to 4 decimal places. 0.0023 Let h = -0.079 - 1.221. Let z = -7.8 - h. What is z rounded to the nearest integer? -7 Let w = -0.125003 - -0.1257. Round w to five decimal places. 0.0007 Suppose 2*y = -3*z - 28360006, -7*y + 11*y + 5*z = -56720010. What is y rounded to the nearest one hundred thousand? -14200000 Let m = 2.21 + -0.01. Let r = 2.01 - m. Let z = 0.19000103 + r. What is z rounded to seven decimal places? 0.000001 Let w be 1535/(-7) - (-2 + (-36)/(-21)). Round w to the nearest 100. -200 Let f = 81459 + 172641. Suppose 0 = 9*m - 16*m - f. What is m rounded to the nearest 10000? -40000 Let w = -2.30000436 - -2.3. Round w to 7 dps. -0.0000044 Let g = 436.9774 + -436.7974029. Let q = -157 + 157.18. Let s = q - g. What is s rounded to six dps? 0.000003 Let o(y) = 492464*y - 288. Let r be o(-8). What is r rounded to the nearest one million? -4000000 Let v = 0.2705 + -0.24897. Round v to two dps. 0.02 Let w = 70.3268 + -2.2748. Let k = -68 + w. Round k to two dps. 0.05 Let r = -1513605986.9999789 - -1513606139. Let g = -92 - -244. Let k = g - r. What is k rounded to 6 decimal places? -0.000021 Let d = -0.123 - -0.07. Let j = d - 21.947. Let m = j - -22.044. What is m rounded to 2 decimal places? 0.04 Suppose -25 = 4*a - 2*n - 3*n, 0 = 5*a + 5*n - 25. Suppose -c + 4*y = -162, -4*c - y = -a*c - 733. Round c to the nearest ten. 180 Let h = -21.4 - -16. Let u = 5.4000054 + h. What is u rounded to six dps? 0.000005 Let a = 231.0000012 - 231. Round a to seven decimal places. 0.0000012 Let r(j) be the third derivative of j**5/60 - 3*j**4/8 + 4*j**3/3 + 2*j**2. Let q be r(5). Let l be q/10*25000/(-15). What is l rounded to the nearest 10000? 0 Let q = 22.947 - -0.053. Let l = -80.196719 - -57.19672. Let s = l + q. What is s rounded to 7 dps? 0.000001 Let s = -692.096 - -698.09574. Let d = -28 + 34. Let j = d - s. Round j to 4 decimal places. 0.0003 Let q(v) = -303*v**3 + 10*v**2 + 9*v - 4. Suppose 3 = a - 0. Let j(c) = 2*c**2 - 3*c. Let g be j(a). Let b be q(g). What is b rounded to the nearest 100000? -200000 Let j(a) = a**2 - 2*a - 8. Let r be j(4). Suppose -5*d - 81999995 = -g, -4*g - 82000020 = -r*d + 5*d. What is d rounded to the nearest one million? -16000000 Suppose -7*z + 462 = -4*z. Let i be z/(-4)*(-519 + -7). Let u = 12151 - i. What is u rounded to the nearest 1000? -8000 Let p = 950.844659 + -950.8. Let n = p - 0.0449. What is n rounded to 5 dps? -0.00024 Let v = -0.0866 + -42.2134. What is v rounded to the nearest 10? -40 Suppose -5*s - 4*l = -2*l - 824142, 0 = 2*s + 5*l - 329640. Suppose s = 2*i - 7*i. Let w = i + 18266. What is w rounded to the nearest one thousand? -15000 Let m = -0.01400196 + 0.014. What is m rounded to 7 dps? -0.000002 Let q = -255 - -269.3. Let w = -1.7 - q. Let r = 15.999936 + w. Round r to five dps. -0.00006 Let m = -453 + 449.63. Let j = m + 2.5. Round j to 1 decimal place. -0.9 Suppose 2 + 13 = 5*f. Suppose 3*q + 12 = 0, -f*o - 3*q = 6 + 6. Suppose -v + 6*v - 7000000 = o. Round v to the nearest one hundred thousand. 1400000 Let m = -150220 - -150218.04434. Let f = -1.96 - m. Round f to four dps. -0.0043 Let n = 381 + -260. Let s = -121.00054 + n. Round s to 5 dps. -0.00054 Let p = 0.02884 - 59.25884. Let g = p + 59. Let w = 0.23000067 + g. Round w to seven dps. 0.0000007 Let b = 63 + -63.00107. Round b to 4 decimal places. -0.0011 Let i(b) = 880001*b + 5. Let x(
{ "pile_set_name": "DM Mathematics" }
2 Express (3*r - 2*r**2 - 3*r)*(22*r**2 - 8*r**2 + 100*r**2) in the form n*r**3 + b*r**2 + x*r**4 + o*r + u and give o. 0 Express (-i - i + 3*i)*(2*i - 4*i + 4*i)*(-13*i + 16*i + 3 - 4) in the form q*i**3 + t*i + h + k*i**2 and give q. 6 Express 12*s - 27*s - 5*s**2 - s**2 in the form n + d*s + z*s**2 and give n. 0 Express 4*g**2 + 2*g**3 - 26 + 18 + 11 in the form n*g**3 + t + w*g**2 + j*g and give t. 3 Express 1 + 1 - 3 + y**3 - 3*y**2 + 0 in the form n*y**3 + i*y**2 + x*y + c and give i. -3 Express (-c + c - 2*c)*(2*c**2 + 2*c - 2*c) - 4*c**3 - 5*c**3 - 22*c**3 + 2*c**3 + 4*c - 4*c as d*c**3 + j + s*c + t*c**2 and give d. -33 Rearrange -11 + 18 - 2*r**2 + 0 to the form k*r + g + u*r**2 and give u. -2 Rearrange (-1 - 3 + 3)*(1 - 1 + i) + 6 - i - 6 + (1 + 2 - 2)*(2*i + 1 - 1) + 4 - 4 + 2*i to the form d*i + x and give d. 2 Rearrange -8*b**2 + 1 - 1 - 4*b + 0*b to the form d + n*b**2 + c*b and give n. -8 Rearrange (u + u - u)*(-7 + 6 - 14) to b*u + o and give b. -15 Express 9 + 3*b + 4*b - 4*b + 2*b - b + 0*b + 1 - 2*b - 1 + (3 - 3 + b)*(0 - 3 + 2) in the form d + m*b and give d. 9 Rearrange (2 + 1 - 6)*(-4 - k**3 + 2 + 2*k**3) to the form i*k**2 + x*k**3 + d*k + z and give x. -3 Express (-2 - 1 + 1)*(-4*s**3 + 6*s**3 - 3*s**3) + (s**2 - 2*s**2 - s**2)*(2*s + 0 + 0) + 2*s**3 - 2*s**3 - 2*s**3 as m + b*s + q*s**3 + y*s**2 and give q. -4 Express (5*g**2 - 9*g**2 + 5*g**2)*(4*g + g + 1 - 6*g)*(5 - 3 - 4) in the form u*g**3 + o*g + t + r*g**2 and give r. -2 Rearrange (2*k**2 - 4*k**2 + 3*k**2)*(5*k - 6*k + 4*k) - 5*k**3 + 2*k**3 - k**3 to the form i*k**2 + u*k**3 + g*k + o and give u. -1 Rearrange (2*d - 4*d + 0*d + (2 - 2*d - 2)*(-1 + 3 - 1))*(4 + 0 - 2) + 6*d - 4*d - 3*d to the form w*d + i and give w. -9 Express -194 + 194 - 46*h**2 + (-h**2 + 4*h**2 - 2*h**2)*(1 + 2 - 2) in the form v + a*h**2 + f*h and give a. -45 Rearrange (1 + x - 1)*(-4*x**2 + 0*x**2 + 0*x**2) - x**2 - 2*x**3 + 2*x**3 - 10*x**3 to f + r*x + n*x**2 + a*x**3 and give a. -14 Express (-4*c**2 + 5*c**2 - 2*c**2)*(c + 3*c + c) in the form g*c**2 + m + l*c + w*c**3 and give w. -5 Rearrange (-2*j - 5*j + 4*j + 2*j**2)*(-22 + 18 - 42) to t + c*j + q*j**2 and give q. -92 Express -4 + 4*u**2 + 0*u**2 + 15*u**3 + 11*u**3 - 28*u**3 + 2*u**4 in the form m*u**2 + d*u**4 + p*u + n + s*u**3 and give m. 4 Rearrange -i**3 - 180*i**4 + 7 - i**3 + 4 + 181*i**4 - i**2 to the form c*i**2 + q + o*i**3 + r*i**4 + n*i and give q. 11 Rearrange 5*t - 2*t**2 - 5*t + (-1 - 1 + 0)*(21*t**2 - 8*t**2 + 24*t**2) to y*t**2 + w*t + v and give y. -76 Express -f**3 - 3*f**3 + 5*f**3 + (f + 4*f - 2*f)*(-103*f**2 + 15*f + 104*f**2 - f) in the form q*f**3 + b + v*f**2 + n*f and give q. 4 Express 6 + 3*q**3 + q**4 - 5*q**3 - 17 in the form n*q**2 + h*q + o*q**4 + d*q**3 + s and give o. 1 Express (108*s + 69*s - 61*s)*(2*s - 2*s**2 - 2*s) as o*s**2 + k + z*s + i*s**3 and give i. -232 Rearrange s**4 + 1 + 2*s + 7520*s**2 + 2*s**3 - 7520*s**2 to the form i*s**4 + w*s**2 + k + g*s**3 + h*s and give h. 2 Express 4*i + 15*i - 3*i + 8*i in the form x*i + w and give x. 24 Express (-231 - 8*o + 231)*(-6*o + 2*o + o) as b*o + z*o**2 + y and give z. 24 Rearrange -16 + 3*u**2 + u**3 - u + u**4 + 2*u + 16 to z*u**3 + f*u**2 + g + r*u**4 + s*u and give r. 1 Rearrange w + 8*w + 2*w**2 - 10*w + 2*w to i + v*w**2 + k*w and give k. 1 Rearrange (4*k**2 - 2*k**2 - k**2)*(14*k**2 - 640 + 640 + 3*k) to the form v*k**2 + s*k**3 + j + l*k**4 + u*k and give s. 3 Rearrange -3*f**2 - 3*f**3 + 22*f - f**4 - 9*f - 12*f to d*f**2 + i*f**3 + a + g*f**4 + w*f and give d. -3 Express (48 - 37 - 31)*(-3 + 3 + 2*s**4) in the form z + l*s**3 + x*s**4 + m*s + v*s**2 and give x. -40 Rearrange 395 + 14*p - 395 to w*p + v and give w. 14 Express (4*s - 3*s + 5*s)*(3 - 2 + 1)*(3 - 3 + 2) in the form x*s + p and give x. 24 Express -1808*s**2 + 0 + 0 + 1807*s**2 - 35*s in the form i*s**2 + u*s + j and give u. -35 Express 10*s**2 + 9*s**2 - 4*s + 2*s**4 + 3*s in the form t*s**4 + c + r*s**2 + j*s + i*s**3 and give r. 19 Express -1 - s - 6 + 0*s + (6*s - 5*s + 0*s)*(-5 + 4 + 3) in the form d*s + t and give t. -7 Rearrange 23*p - 10*p - 8*p - 2 - 29*p to r*p + j and give r. -24 Rearrange -1 - 6*u**4 + u**3 - 3*u**2 - 12*u**4 + 3*u**2 to k*u**3 + z*u**4 + v*u + q*u**2 + h and give z. -18 Express 33*f - 33*f - f**2 - f**2 in the form i*f + c*f**2 + u and give c. -2 Rearrange 30*f - 2*f + 24*f to the form d*f + k and give d. 52 Express 0 + 0 + 2*b + (2 - 1 + 1)*(2*b - 2 + 2) as n*b + y and give n. 6 Express 31*c - 31*c - 22*c**2 + 0*c**2 as g*c**2 + u + v*c and give g. -22 Rearrange -229 + 112 + 117 - 580*o + (-1 + o + 1)*(0 - 1 - 1) to f + c*o and give c. -582 Express f**2 - 2*f - 4 - 2 + 6 in the form o*f**2 + t*f + k and give o. 1 Express -2*f**2 + 4*f**3 - f**3 - 6*f**3 in the form s*f**2 + d + h*f**3 + n*f and give h. -3 Express 510*m**2 + 2*m - 521*m**2 - 2*m in the form l + n*m**2 + w*m and give n. -11 Express -13*b**2 + 20*b**2 - 18*b**2 as h*b**2 + s*b + y and give h. -11 Express 70*d**3 - 2*d - 3*d**2 + 3*d**2 - 86*d**3 as u + k*d**3 + o*d**2 + n*d and give k. -16 Express -3*n + 7*n**4 - 7*n**2 + 19*n**2 - 12*n**2 + 3*n**3 in the form j*n**2 + w*n**4 + t + q*n + s*n**3 and give w. 7 Express -4 + 4 - 3*y**4 + 6 - 2*y**3 - 5 in the form u*y**2 + j*y**3 + b + f*y + v*y**4 and give v. -3 Rearrange -5*x**2 - 6*x**2 + 20*x**2 - 2*x**2 - 3*x**2 + 3*x**2 + (1 - 1 + 2*x)*(-x - x + 0*x) - 1 + x**2 + 1 to the form s*x**2 + j + z*x and give s. 4 Express (-2*v - 3*v + 4*v)*(3 - 2 + 0)*(v**2 - 3*v**2 + 6*v**2) in the form w*v**3 + x + q*v**2 + y*v and give w. -4 Rearrange (0*p - p + 2*p)*(53 - 36 - 30) to the form r + c*p and give c. -13 Rearrange -387*q + 385*q + 21 - 56 to k*q + z and give z. -35 Express ((0 + 0 + 2)*(2*l - l + l) + (6 - 9 - 9)*(3*l - 6*l + 2*l))*(2*l - 8*l + 2*l) in the form a*l + i + t*l**2 and give t. -64 Rearrange 0*b**2 + 0*b**2 + 2*b**4 + 0*b**2 - 2 + 2*b**2 to the form p*b**2 + j + q*b**3 + v*b + s*b**4 and give j. -2 Express 222*y - 222*y - 2*y**3 + 86*y**2 + 20*y**2 as i*y**3 + l*y**2 + t + s*y and give i. -2 Rearrange -5*l**3 + l**3 + 17*l**3 - l**3 - l**3 + l**3 + (-2*l**3 - 3*l + 3*l)*(3 + 1 - 6) to m*l + s*l**2 + y*l**3 + x and give y. 16 Rearrange -3*b**3 + 6*b**2 + b**3 - 8*b**2 - 5 + 10 to the form l*b**3 + p + c*b**2 + z*b and give l. -2 Rearrange 2*i**2 + i**3 - 5 - 2*i**3 - 4 - 3*i**2 to t + a*i**2 + x*i**3 + h*i and give h. 0 Express 2*p**4 - 4*p**2 + 4*p**2 + p**4 + 2*p**4 - 2*p**4 + (0 - 2*p + 0)*(7*p**3 + 10*p**3 + 4*p**3) in the form h*p**4 + t*p + s*p**2 + b + j*p**3 and give h. -39 Rearrange -5*w**3 - 2*w - 5*w**2 + 2*w + 4*w**2 - w - 1 to the form n*w**2 + y*w**3 + d*w + z and give y. -5 Express (4*h**2 - 3*h**2 - 9*h**2)*(h - 2*h + 0*h)*(0 - 3 + 1) as d*h**3 + x + m*h + f*h**2 and give d. -16 Express -4*i + i**4 + 0*i - 2 + 0 - i**3 + 3*i as v*i + t + k*i**3 + z*i**2 + h*i**4 and give h. 1 Rearrange -6*m + 850 - 851 - 4*m**4 + m**2 + 0*m**3 + 0*m**3 to the form w*m**2 + l*m + k*m**3 + h*m**4 + q and give q. -1 Express (-1 + 5 - 2)*(9*q - 3*q - 2*q) - 5*q + 4*q + 3*q + (-1 - 2*q + 1)*(1 - 2 + 3) as z*q + h and give z. 6 Rearrange -f**2 - 458*f - 3*f**2 + 459*f to the form t*f + k*f**2 + a and give t. 1 Express 2*r**3 + 7*r + 0*r**3 + 2 - 16*r - 8*r in the form x*r**3 + m*r + z*r**2 + c and give c. 2 Rearrange 0*w**3 + 3*w**3 - 4*w - 4*w**3 - 2*w**3 to the form y*w**3 + p*w**2 + n*w + s and give y. -3 Rearrange (266 - 347 + 0*q - q)*(2*q + q + 0*q) to s*q + i*q**2 + w and give i. -3 Express -26 + 16 + 10 + 142*v**2 as z*v**2 + r + j*v and give z. 142 Rearrange (2 - 3 - 2)*(1 - 2 - 1)*(-x + 4 - 4) to w*x + z and give w. -6 Express -29*k - 4*k**3 - 5*k**2 + 3*k**2 + 30*k as l + i*k**2 + d*k**3 + y*k and give d. -4 Express (-3*z - z + z)*(7 + 14 - 2)*(z**3 - 5*z**3 + 2*z**3) + 3*z**4 + 4*z**4 - 6*z**4 in the form l*z + h*z**3 + j*z**4 + v + y*z**2 and give j. 115 Express 5*s**2 + 14*s**2 - 5*s**2 + 3*s**2 in the form w + b*s + v*s**2 and give v. 17 Rearrange -15*j**2 - 11*j**2 + 19*j**3 + 27*j**2 to a*j**2 + m*j**3 + g + x*j and give a. 1 Express (9*z**4 - 8*z**4 - 3*z**4 - 10*z**3)*(2 + 2 - 5) as k + g*z**2 + p*z**4 + h*z + s*z**3 and give s. 10 Express (6*m**3 - 5*m**3 + 4*m**3)*(0*m + m - 3*m) + 41*m - 17*m**4 - 41*m a
{ "pile_set_name": "DM Mathematics" }
f 2220 to the nearest integer? 7 What is the sixth root of 15757 to the nearest integer? 5 What is the third root of 2769 to the nearest integer? 14 What is the fifth root of 737 to the nearest integer? 4 What is 714 to the power of 1/9, to the nearest integer? 2 What is 117126 to the power of 1/3, to the nearest integer? 49 What is the fifth root of 122467 to the nearest integer? 10 What is 7200 to the power of 1/2, to the nearest integer? 85 What is 1631 to the power of 1/3, to the nearest integer? 12 What is 3875 to the power of 1/2, to the nearest integer? 62 What is 12842 to the power of 1/6, to the nearest integer? 5 What is the third root of 1678 to the nearest integer? 12 What is the fourth root of 287 to the nearest integer? 4 What is 2999 to the power of 1/3, to the nearest integer? 14 What is 3519 to the power of 1/4, to the nearest integer? 8 What is the cube root of 53 to the nearest integer? 4 What is the third root of 346 to the nearest integer? 7 What is the tenth root of 1045 to the nearest integer? 2 What is 17345 to the power of 1/5, to the nearest integer? 7 What is the cube root of 2690 to the nearest integer? 14 What is 110410 to the power of 1/6, to the nearest integer? 7 What is 19665 to the power of 1/6, to the nearest integer? 5 What is 671 to the power of 1/2, to the nearest integer? 26 What is the square root of 68 to the nearest integer? 8 What is 1052 to the power of 1/2, to the nearest integer? 32 What is 3797 to the power of 1/4, to the nearest integer? 8 What is the fourth root of 11196 to the nearest integer? 10 What is 98075 to the power of 1/2, to the nearest integer? 313 What is the square root of 7872 to the nearest integer? 89 What is 2429 to the power of 1/3, to the nearest integer? 13 What is the fifth root of 168464 to the nearest integer? 11 What is the fourth root of 17966 to the nearest integer? 12 What is the cube root of 1448 to the nearest integer? 11 What is the fourth root of 3923 to the nearest integer? 8 What is the square root of 209993 to the nearest integer? 458 What is 676 to the power of 1/3, to the nearest integer? 9 What is 21543 to the power of 1/3, to the nearest integer? 28 What is 26123 to the power of 1/6, to the nearest integer? 5 What is 1539 to the power of 1/5, to the nearest integer? 4 What is 6598 to the power of 1/7, to the nearest integer? 4 What is 2362 to the power of 1/5, to the nearest integer? 5 What is the fifth root of 724 to the nearest integer? 4 What is the square root of 72393 to the nearest integer? 269 What is 505 to the power of 1/9, to the nearest integer? 2 What is 56888 to the power of 1/2, to the nearest integer? 239 What is 24743 to the power of 1/3, to the nearest integer? 29 What is the sixth root of 51259 to the nearest integer? 6 What is the cube root of 4561 to the nearest integer? 17 What is the third root of 45 to the nearest integer? 4 What is the ninth root of 26639 to the nearest integer? 3 What is the eighth root of 1761 to the nearest integer? 3 What is 15498 to the power of 1/10, to the nearest integer? 3 What is the third root of 55524 to the nearest integer? 38 What is 29447 to the power of 1/2, to the nearest integer? 172 What is the third root of 66423 to the nearest integer? 40 What is the square root of 35397 to the nearest integer? 188 What is the third root of 100557 to the nearest integer? 47 What is 2069 to the power of 1/5, to the nearest integer? 5 What is the third root of 6880 to the nearest integer? 19 What is the third root of 1141 to the nearest integer? 10 What is the fourth root of 3173 to the nearest integer? 8 What is the third root of 598 to the nearest integer? 8 What is the fourth root of 138477 to the nearest integer? 19 What is the fourth root of 1837 to the nearest integer? 7 What is the cube root of 404 to the nearest integer? 7 What is the square root of 21435 to the nearest integer? 146 What is the third root of 1021 to the nearest integer? 10 What is the ninth root of 241 to the nearest integer? 2 What is the square root of 8085 to the nearest integer? 90 What is the eighth root of 64392 to the nearest integer? 4 What is the eighth root of 1028 to the nearest integer? 2 What is the seventh root of 70 to the nearest integer? 2 What is 2672 to the power of 1/9, to the nearest integer? 2 What is 543 to the power of 1/2, to the nearest integer? 23 What is 4692 to the power of 1/2, to the nearest integer? 68 What is 637 to the power of 1/7, to the nearest integer? 3 What is the cube root of 2629 to the nearest integer? 14 What is 5989 to the power of 1/2, to the nearest integer? 77 What is 9492 to the power of 1/2, to the nearest integer? 97 What is 3465 to the power of 1/10, to the nearest integer? 2 What is 29446 to the power of 1/7, to the nearest integer? 4 What is 24271 to the power of 1/6, to the nearest integer? 5 What is the square root of 3501 to the nearest integer? 59 What is the cube root of 1599 to the nearest integer? 12 What is the fifth root of 95757 to the nearest integer? 10 What is the third root of 35717 to the nearest integer? 33 What is the fifth root of 10988 to the nearest integer? 6 What is the fifth root of 954 to the nearest integer? 4 What is 1890 to the power of 1/10, to the nearest integer? 2 What is the seventh root of 528 to the nearest integer? 2 What is 1788 to the power of 1/3, to the nearest integer? 12 What is the square root of 24458 to the nearest integer? 156 What is the square root of 4400 to the nearest integer? 66 What is the seventh root of 937 to the nearest integer? 3 What is the third root of 4243 to the nearest integer? 16 What is 68728 to the power of 1/2, to the nearest integer? 262 What is 13111 to the power of 1/9, to the nearest integer? 3 What is 2703 to the power of 1/2, to the nearest integer? 52 What is 351 to the power of 1/3, to the nearest integer? 7 What is the square root of 69950 to the nearest integer? 264 What is 16125 to the power of 1/2, to the nearest integer? 127 What is the fourth root of 1658 to the nearest integer? 6 What is 2237 to the power of 1/10, to the nearest integer? 2 What is the third root of 2667 to the nearest integer? 14 What is the square root of 1055 to the nearest integer? 32 What is the fourth root of 3183 to the nearest integer? 8 What is 324 to the power of 1/7, to the nearest integer? 2 What is the cube root of 26 to the nearest integer? 3 What is the fifth root of 6973 to the nearest integer? 6 What is the square root of 62316 to the nearest integer? 250 What is 141826 to the power of 1/4, to the nearest integer? 19 What is the seventh root of 51 to the nearest integer? 2 What is the square root of 15810 to the nearest integer? 126 What is 6036 to the power of 1/5, to the nearest integer? 6 What is 7091 to the power of 1/7, to the nearest integer? 4 What is the third root of 864 to the nearest integer? 10 What is the ninth root of 930 to the nearest integer? 2 What is 24304 to the power of 1/7, to the nearest integer? 4 What is 1030 to the power of 1/7, to the nearest integer? 3 What is the square root of 2795 to the nearest integer? 53 What is 1266 to the power of 1/3, to the nearest integer? 11 What is the third root of 1514 to the nearest integer? 11 What is the tenth root of 152 to the nearest integer? 2 What is the square root of 23863 to the nearest integer? 154 What is the third root of 12287 to the nearest integer? 23 What is the tenth root of 1527 to the nearest integer? 2 What is 2987 to the power of 1/4, to the nearest integer? 7 What is the third root of 1715 to the nearest integer? 12 What is 2439 to the power of 1/2, to the nearest integer? 49 What is 67394 to the power of 1/2, to the nearest integer? 260 What is 466 to the power of 1/6, to the nearest integer? 3 What is the cube root of 435 to the nearest integer? 8 What is the third root of 3589 to the nearest integer? 15 What is 226 to the power of 1/3, to the nearest integer? 6 What is 1034 to the power of 1/5, to the nearest integer? 4 What is the third root of 7332 to the nearest integer? 19 What is 553 to the power of 1/4, to the nearest integer? 5 What is 122292 to the power of 1/7, to the nearest integer? 5 What is 1307 to the power of 1/4, to the
{ "pile_set_name": "DM Mathematics" }
. Which is the second smallest value? (a) n (b) h (c) 2 a Let t = 78 + -76. Let d = -4.4 + 4. Let f = -3.2 + 3. Which is the third smallest value? (a) t (b) d (c) f a Let g(b) = 2*b**2 + 19*b + 12. Let z be g(-10). What is the second biggest value in 2, z, 2/13, 10? 10 Let s = 362 - 420. Which is the biggest value? (a) -0.1 (b) 1 (c) s b Let z be -3 - 1/((-1)/12). Let n be (z + (4 - 3))/(-1). Let k be (4/n)/(16/(-10)). Which is the second smallest value? (a) -2/15 (b) -4 (c) k a Let s = -61 + 60.75. What is the biggest value in 5, -4/9, s? 5 Let y be (2/(-10))/((-174)/290). Which is the smallest value? (a) -108 (b) -0.3 (c) y a Let f be 4 - (1 - 22/(-10)). Suppose 0 = 1562*x - 1556*x + 18. Which is the biggest value? (a) x (b) f (c) 0.4 (d) 0.1 b Let m = 7 - 7.6. Let o = 63.6 + -63. Let n = o + m. Which is the third biggest value? (a) 1 (b) n (c) 0.2 b Suppose 58 = -23*g - 34. What is the fourth smallest value in 2/3, -0.4, 66, g? 66 Let s = 854 - 923.3. Let k = 69 + s. Suppose -18 = -d - 5*u, 4*d + 3*u = -0*u + 4. Which is the third smallest value? (a) k (b) d (c) -4 a Let p = -1596.1 - -1596. Which is the second smallest value? (a) -16 (b) p (c) 1 b Let h = -0.0114 + -1.9886. What is the second smallest value in -3, 4/9, h, 0.3? h Let m = 62 + -58. Which is the fourth smallest value? (a) 5 (b) 2 (c) m (d) 3 a Let o = -9 + 14. Let t = 8488 + -8481. Which is the third biggest value? (a) 0.4 (b) t (c) o a Let p = 0.066 - 1.066. Let l = -11.1 + 12. Let f = 0.8 - l. Which is the smallest value? (a) 2 (b) f (c) p c Let d be 1 - ((-9)/(-3))/(-3). Suppose d + 4 = 2*h. Suppose 15 = -u + 5*q, -h*q + 9 = -3*u + 2*u. Which is the second biggest value? (a) u (b) -5 (c) 0.1 a Let i = -0.1 - -8.1. Let w = 3 - i. Which is the second smallest value? (a) 0.2 (b) -1 (c) w b Let w = 491809/100 + -4918. Let k = 1/100 + w. Which is the biggest value? (a) 0.2 (b) -5 (c) k a Let d = -0.0064 - -0.0064. Which is the third smallest value? (a) 12 (b) -22/7 (c) d a Let g = 240 + -2641/11. Which is the second biggest value? (a) -4 (b) 5 (c) g c Suppose -2*j - 2*j = -2*p, 3*p = 3*j + 12. Suppose 0*y = 2*y - p. Suppose y*u = 2*u. Which is the third smallest value? (a) 0.4 (b) u (c) -3 a Suppose -23*j = -15*j - 32. Let b = -0.38 + -0.02. Suppose -3*f = -3 + 9. What is the smallest value in b, j, f? f Let n = -54.01 - -57. Let b = n + 0.01. What is the third biggest value in 2/11, b, 0.3, -1/2? 2/11 Let x(z) = z**3 + 2*z**2 - 1. Let u be x(1). Let o = -45.81 + -1.19. Let s = -47.1 - o. What is the biggest value in u, s, 0.4? u Let z = -98 - -98. What is the second smallest value in 8, 6, z? 6 Let o be (35/18 - 2)/((-97)/388). Let r(u) = -u - 1. Let m be r(0). Which is the smallest value? (a) 1 (b) o (c) -3 (d) m c Let o = 207 + -210. What is the fourth smallest value in -1/3, 3, o, 4/5? 3 Suppose 11*b = 5 - 49. Let y be (26/39)/(b/15). What is the second biggest value in 0.07, -4, y? y Let u = -8 + 12. Let p = 159/5 - 32. Which is the third smallest value? (a) -2/9 (b) p (c) u (d) 0 d Let p = 20 - 10. Let h = p - -2. Let t = -11.93 + h. Which is the smallest value? (a) 0.2 (b) t (c) 0 c Let u = -1798 - -1801. Which is the third smallest value? (a) -5/3 (b) u (c) 109 c Let u = -31.1 - -22. Let m = u + -2.9. Let p be 6/(-10)*(38/(-6) - -6). What is the smallest value in p, 5, m? m Let q = 31.1 - 32.1. Which is the second biggest value? (a) -4/9 (b) 0.4 (c) 4 (d) q b Let w = 0.19 + 90.81. Let z = -91.3 + w. Which is the third biggest value? (a) z (b) 12 (c) -1 c Suppose -3*i = -i. Let x = 2.97 + 0.03. Let o = 438 + -442. Which is the third biggest value? (a) i (b) o (c) x b Let g = 271 - 271.2. What is the third biggest value in g, 5, -0.03? g Let g = 3145/4 + -795. What is the fourth biggest value in -1, -2, -3/7, g? g Let u = -0.405 - -0.405. Let v = -0.3 - 0.2. What is the smallest value in -2, u, v, 1/9? -2 Let g = -22 - -42. Let o be (18/(-15))/(18/g). Let n = 31 + -31.1. Which is the third biggest value? (a) n (b) o (c) 1 b Suppose 4*m - 8 = -4*w, 5*m = 2*w + 8*m - 6. Let s = -27 + 26.8. Which is the third biggest value? (a) w (b) s (c) -0.11 b Let l(d) = 3*d + 14. Let p be l(-6). Let y be 1*(-4 + (-2 - p)). Which is the second biggest value? (a) -0.5 (b) 3 (c) y a Let k be (-5)/20 - (5 + (-44)/8). Which is the second smallest value? (a) 3/4 (b) k (c) 16/3 (d) 5 a Suppose 4*n + q = 0, 0 = -4*n + 34*q - 37*q. Which is the third smallest value? (a) n (b) 3 (c) 4 (d) -3/4 b Let p = -0.3 - -0.3. Let l = -2.242 + 2.642. Which is the fourth smallest value? (a) l (b) 2 (c) p (d) -4 b Let l = 89.8 - 90.2. Suppose 4*w = 3*h - 4, h = 4*w - h. Let f be 1 - -2*(-3)/10. What is the third biggest value in f, l, w? l Let c = -138 - -136. Let t = -0.325 + 0.025. What is the third smallest value in 1/5, t, c? 1/5 Let d = 0 - 0. Let g = 8.5 - -114.5. Let u = 122.6 - g. What is the third biggest value in u, 4, d? u Let h = 126 - 128.85. Let w = -0.05 - -0.2. Let k = h - w. What is the smallest value in 0.2, -0.3, k? k Let t = -39.016 - -39. Let o = -1.116 - t. What is the smallest value in 0, o, -0.2? o Let o = 36.2 + -35. Let i = -1.1 + o. Which is the third smallest value? (a) 6 (b) 0 (c) i a Let c be ((-8)/(-582))/((-2)/6 + 0). Let j = c - 142/1261. What is the second smallest value in 4, j, 3, -3? j Let q = -26.66 + 27. Let o = -0.17 - -0.03. Let v = o + q. Which is the third smallest value? (a) v (b) -5 (c) 1 c Let w = 1 + -0.6. Let o(k) = k**3 - 3*k**2 - k - 1. Suppose -2*d + 3 = z, 5*d - 12 = -0*z - z. Let l be o(d). What is the second smallest value in w, -1/2, l? -1/2 Suppose 5*i = 4*m - 22, 4*m - 2 = -0*i - 5*i. Let d = -29408/15 + 8312/5. Let v = d + 298. Which is the second smallest value? (a) m (b) -3 (c) v c Let x = -2 - -1.94. Let h = 56 + -54.96. Let f = h - 0.64. Which is the smallest value? (a) x (b) f (c) 0.5 a Let k = 25451/21 - 3611/3. Let q = k - 8. What is the smallest value in q, 3, 0.2? 0.2 Let s = 0 - 3.6. Let r = 3.1 + s. What is the second biggest value in 2, 0.2, r? 0.2 Let f = 1.5 + -1.1. Let v(u) = u**3 - 5*u**2 + 6*u + 4. Let o be v(3). Let j be ((-1)/(-21))/((-7)/7). What is the third smallest value in o, f, j? o Let w be (-3 + 1)*35/(-14). Let z = 756 - 755.9. Which is the fourth smallest value? (a) -1/6 (b) w (c) 3 (d) z b Suppose 0 = -4*h + 8*h, 0 = -4*g + 5*h - 296. Which is the second smallest value? (a) -2/9 (b) g (c) 2 a Let n = -4.9 - 0.1. Suppose 4 + 4 = 4*s. Suppose -s*o = 4*d + 24, 5*d + 12 = -3*o + 5*o. Which is the second biggest value? (a) -2/13 (b) n (c) o c Let h(j) = j**2 + 8*j - 5. Let l be h(-9). Which is the second smallest value? (a) -0.15 (b) 0.1 (c) l (d) -0.5 a Let n = 141 - 141.03. Which is the third biggest value? (a) 0.4 (b) n (c) 0.1 (d) 4 c Let j be ((-2)/20)/((-1)/6). Let t = 2642/3 - 882. What is the smallest value in t, 0, j? t Let m be ((-36)/24)/((-3)/(-10)). Let r = -0.5 + 1. Let j = -0.7 - -0.3. Which is the second smallest value? (a) j (b) m (c) r a Let s be (-2)/5 - 11/10. Let i = -697 - -1395/2. What is the third biggest value in i, 0.4, 18/11, s? 0.4 Suppose -16 = 6*n - 10*n. Let i be 20/8*n/5. Suppose 0 = 3*g - i*x - 14, 2*g - 6 = -2*x - 0. Which is the third smallest value? (a) g (b) 3 (c) -4 a Let l = -388 - -388.3. What is the second biggest value in l, -0.4, -32? -0.4 Let o = 27 + -17. Let j = -9.52 + o. Let g = j + -0.18. What is the second biggest value in g, 0, -1? 0 Let j = 270.7 - 271. What is the biggest value in j, -0.5, 3? 3 Let g = -70.9 - -70.9. Let l = -3 + 1. Which is the third biggest value? (a) -0.5 (b) 2/7 (c) l (d) g a Let x = -33.7 - -29.7. Let z = 4.5 - 0.5. Let c = z + x. What is the third smallest value in c, -4, -1/2? c Let d = 0.06 + 0.34. Let b = 0.511 + -0.411. What is the third biggest value in d, -1/11, b? -1/11 Let d = 20.6 + 1.4. Let p = d - 12. Let g = -3 + 2. Which is the second biggest value? (a) g (b) 0.3 (c) p b Let r = 4.07 + -0.07. Let g = 5.567 + -0.567. Let k(v) = -v + 9. Let y be k(6). What is the third smallest value in r, g, y? g Let d(r) = -r**3 - 6*r**2 + r + 1. Let q be d(-6). Let j = -102 - -112. Which is the third biggest v
{ "pile_set_name": "DM Mathematics" }
t is 783.76857 rounded to one dp? 783.8 What is -346021610 rounded to the nearest 100000? -346000000 What is 30702.9 rounded to the nearest 100? 30700 What is -13955180 rounded to the nearest 100000? -14000000 Round 9.4938 to one decimal place. 9.5 What is -0.270189 rounded to 2 dps? -0.27 Round -0.3689421 to three decimal places. -0.369 What is 110.97808 rounded to the nearest ten? 110 Round 107.514 to 0 dps. 108 Round -0.00004598 to 6 decimal places. -0.000046 What is -233918 rounded to the nearest ten thousand? -230000 What is 1739397 rounded to the nearest 100000? 1700000 What is -27.57903 rounded to two decimal places? -27.58 What is 4.7512006 rounded to three decimal places? 4.751 What is -110.473 rounded to the nearest 10? -110 Round -63347500 to the nearest one hundred thousand. -63300000 What is -0.02036975 rounded to 3 decimal places? -0.02 Round -0.0079118 to 3 dps. -0.008 What is 0.0513397 rounded to four dps? 0.0513 What is -0.0001180091 rounded to 7 dps? -0.000118 What is 1.062815 rounded to two dps? 1.06 Round -86391.9 to the nearest 1000. -86000 Round -1.697919 to one dp. -1.7 What is 238733.54 rounded to the nearest 100? 238700 What is -0.000003992463 rounded to seven dps? -0.000004 Round 5736.464 to the nearest integer. 5736 Round -0.26493975 to 4 dps. -0.2649 What is 0.00072447 rounded to 6 decimal places? 0.000724 Round -4264410 to the nearest 1000000. -4000000 What is -0.0004844205 rounded to 7 decimal places? -0.0004844 Round -263.0397 to 1 decimal place. -263 Round -6.1594 to one decimal place. -6.2 What is 3.30342 rounded to one dp? 3.3 What is -324.49536 rounded to the nearest one hundred? -300 What is 0.0005253192 rounded to five decimal places? 0.00053 What is -0.293823 rounded to 2 decimal places? -0.29 Round -3306459.7 to the nearest 1000. -3306000 What is 70207500 rounded to the nearest one hundred thousand? 70200000 What is -0.00032079406 rounded to 7 decimal places? -0.0003208 What is 0.58964641 rounded to 4 dps? 0.5896 What is -0.217756 rounded to three decimal places? -0.218 Round 0.00059223 to 4 decimal places. 0.0006 Round 0.00040802 to four decimal places. 0.0004 What is 0.00003299308 rounded to 5 decimal places? 0.00003 What is -0.302281 rounded to two dps? -0.3 Round 1592873.1 to the nearest one hundred thousand. 1600000 Round -0.000645246 to 4 dps. -0.0006 Round 0.0000002233302 to 7 decimal places. 0.0000002 Round -806972700 to the nearest one million. -807000000 Round 8.586157 to zero decimal places. 9 Round 0.00323479 to two decimal places. 0 Round -0.00033258398 to 5 dps. -0.00033 Round 46896.21 to the nearest one thousand. 47000 Round -0.00098122 to four decimal places. -0.001 What is 0.012296981 rounded to five dps? 0.0123 Round -11856.077 to the nearest one thousand. -12000 Round -0.00022336327 to seven dps. -0.0002234 What is 0.3728641 rounded to two dps? 0.37 What is -4349.52 rounded to the nearest ten? -4350 What is -32054410 rounded to the nearest one hundred thousand? -32100000 What is -4348788 rounded to the nearest one hundred thousand? -4300000 What is -0.10283237 rounded to 4 decimal places? -0.1028 Round -0.0001232479 to six dps. -0.000123 What is 0.000485509 rounded to 6 dps? 0.000486 Round -0.002039333 to four dps. -0.002 What is 1373353 rounded to the nearest 1000? 1373000 What is 0.00000279564 rounded to 7 decimal places? 0.0000028 Round -6798379 to the nearest 100000. -6800000 What is -11492.669 rounded to the nearest 1000? -11000 What is -0.00005187386 rounded to 5 dps? -0.00005 What is 232.614 rounded to the nearest 10? 230 What is 69.4448 rounded to zero decimal places? 69 What is -25324200 rounded to the nearest one hundred thousand? -25300000 Round 270255050 to the nearest one hundred thousand. 270300000 Round -14945950 to the nearest one hundred thousand. -14900000 What is -1326.5661 rounded to the nearest integer? -1327 Round -35.68933 to two decimal places. -35.69 Round -265519000 to the nearest one million. -266000000 Round -1912.897 to zero dps. -1913 Round 264607000 to the nearest one million. 265000000 What is 0.0000966415 rounded to seven decimal places? 0.0000966 What is 0.000013187 rounded to 4 decimal places? 0 Round 9.17939 to the nearest integer. 9 Round -0.0017175321 to six decimal places. -0.001718 What is 0.00035088443 rounded to seven decimal places? 0.0003509 Round 0.0049061142 to six dps. 0.004906 Round -1.744382 to three dps. -1.744 What is 0.00161908 rounded to four dps? 0.0016 What is -1023.87 rounded to the nearest integer? -1024 Round -14972.41 to the nearest 100. -15000 What is 31.7863 rounded to one decimal place? 31.8 What is -28.6592 rounded to the nearest ten? -30 What is 0.020140862 rounded to 5 dps? 0.02014 Round 0.0001336554 to 5 dps. 0.00013 Round -0.00000958193 to 6 dps. -0.00001 What is -0.901147 rounded to 1 dp? -0.9 Round -34008.72 to the nearest ten. -34010 What is 39935.119 rounded to the nearest 10? 39940 What is -7.606168 rounded to 2 decimal places? -7.61 Round -1.10459 to the nearest integer. -1 Round 20.46849 to 2 dps. 20.47 Round 7375.47 to the nearest 100. 7400 Round 1071680000 to the nearest 1000000. 1072000000 Round -94440.12 to the nearest 1000. -94000 Round 0.0007543 to 4 decimal places. 0.0008 What is 145.5682 rounded to the nearest integer? 146 What is -0.0000049877418 rounded to six dps? -0.000005 Round 78480 to the nearest ten thousand. 80000 Round 0.158419 to three decimal places. 0.158 What is -0.3355362 rounded to two decimal places? -0.34 What is 6.992568 rounded to 3 decimal places? 6.993 Round -297.142 to the nearest one hundred. -300 Round -0.00293333 to five decimal places. -0.00293 Round 30478.2 to the nearest 100. 30500 Round 9696100 to the nearest one million. 10000000 Round -779025.5 to the nearest one hundred thousand. -800000 Round -0.0000005065691 to 7 decimal places. -0.0000005 Round -655.825 to the nearest one hundred. -700 What is -2238.2 rounded to the nearest 100? -2200 What is 2165318 rounded to the nearest 100000? 2200000 Round 1785.2013 to 1 decimal place. 1785.2 Round 6036178500 to the nearest one million. 6036000000 Round -30.6743 to zero decimal places. -31 What is -0.000709775 rounded to five decimal places? -0.00071 Round -6548.2051 to the nearest 100. -6500 Round -0.0176685 to five dps. -0.01767 What is 72744640 rounded to the nearest 100000? 72700000 Round 0.009104453 to 3 dps. 0.009 What is -67.9745 rounded to the nearest ten? -70 Round -0.000027059 to seven dps. -0.0000271 Round 0.000542183 to 4 dps. 0.0005 What is -0.000284884 rounded to 5 dps? -0.00028 Round 0.0002331378 to 7 dps. 0.0002331 Round 0.000141996 to 6 dps. 0.000142 What is 0.00006272437 rounded to 6 dps? 0.000063 What is -15.838578 rounded to the nearest integer? -16 Round 0.0109327 to five decimal places. 0.01093 Round 74.8031 to the nearest 10. 70 What is -0.000869532 rounded to five dps? -0.00087 Round 780.271 to the nearest 100. 800 Round 49903170 to the nearest ten thousand. 49900000 Round -0.0000312901 to 6 decimal places. -0.000031 What is -0.037504966 rounded to 3 decimal places? -0.038 What is -353705 rounded to the nearest one thousand? -354000 What is 0.0417153 rounded to two dps? 0.04 Round 0.000001218469 to seven dps. 0.0000012 Round -0.004553397 to 5 dps. -0.00455 What is -21.032784 rounded to 1 decimal place? -21 Round 178.81 to the nearest integer. 179 What is 153990000 rounded to the nearest 1000000? 154000000 Round -0.000572667 to five dps. -0.00057 Round -77.74226 to 2 dps. -77.74 Round -7.5098 to the nearest one hundred. 0 What is -0.0000764198 rounded to 7 dps? -0.0000764 Round -28.9906 to the nearest integer. -29 Round 0.0055972 to three dps. 0.006 What is -0.000003502351 rounded to 7 dps? -0.0000035 Round 18034045 to the nearest one million. 18000000 What is -21341210 rounded to the nearest ten thousand? -21340000 What is 0.000000083189 rounded to 7 decimal places? 0.0000001 Round 54.7693 to the nearest 10. 50 Round 7731479 to the nearest 100000. 7700000 Round 2103.05 to the nearest one thousand. 2000 What is 10.70963 rounded to one decimal place? 10.7 Round -1.69801 to 2 dps. -1.7 What is 0.00013862147 rounded to 6 decimal places? 0.000139 Round 0.0000001049298 to 7 decimal places. 0.0000001 Round -0.0
{ "pile_set_name": "DM Mathematics" }
24 = k*t, t + 3*t = 4*n - 24. Is (-21)/t - -1 - 1 a prime number? True Suppose 4*z - 18 = 86. Let h = z + -7. Is h a composite number? False Let t(y) = -y + 7. Let m be t(6). Let a(s) = 3*s - 1. Let r be a(m). Suppose 5*k - r*z = 663, 47 = k + 5*z - 64. Is k a composite number? False Let w(p) = 4*p + 1. Let o(h) = -1. Let s be (-25)/(-35) + (-4)/(-14). Let a(x) = s*w(x) + 2*o(x). Is a(5) prime? True Is 0 + (683 - (4 + 0)) a composite number? True Let y be (3/2 - 1)*0. Suppose 0 = 5*x - 5, y*x = 3*t - x - 272. Is t a prime number? False Is -4 + 3 + 5 - -377 a prime number? False Let r = 0 - -15. Let l be ((-20)/r)/((-1)/(-6)). Is (2 - l) + 3 + -3 prime? False Suppose -2 = -2*k - 4*h, 0 = -5*k + 4*k - 3*h. Is -1*(k/(-1) + -74) composite? True Let d be 1 + -2 + (-3)/(-1). Is 1690/22 - d/(-11) prime? False Suppose 219 = 2*i - 879. Suppose -5*w - k = -i, -462 = -5*w + k + 79. Is w a composite number? False Let o(z) = -9 - z**3 - 4*z - z + 0*z**3 - 7*z**2. Suppose y + 10 = -2*m, 5*y - 2*m + 4*m = -42. Is o(y) a prime number? False Let y be (0 - (-1 + -2)) + 5. Suppose -d = g - 54 - 1, -4*g + y = 0. Is d a composite number? False Let m(p) = -p**3 + 5*p**2 + 4 - 2*p**3 - p + 2 + 2*p**3. Let i be m(6). Is (-3)/(i/(-147))*-4 composite? True Suppose 3*x - 494 = x. Is x a composite number? True Let h(g) = -g**3 - 6*g**2 + g + 8. Let t be h(-6). Let a be (-1)/(-4) - t/8. Suppose f - 3*w + 4*w - 54 = a, -f + 38 = 5*w. Is f prime? False Suppose 3*k - 2*z - 1 - 15 = 0, -z = -2*k + 9. Suppose k*l = -4*b + 122, 5*b + 133 = 2*l + 47. Is l prime? True Let z = -28 - -47. Is z a prime number? True Suppose -w + 297 + 448 = 0. Let h = w + -330. Is h prime? False Let p = 66 - 27. Let o = p - 26. Is o composite? False Let u(r) = 2*r**2 - 11*r + 5 + 9 - r**2. Let x be u(10). Suppose 0*v = x*v + a - 221, 0 = 2*v + a - 111. Is v composite? True Suppose 5*f + 4 = f. Is -13*(0 - (-1)/f) a composite number? False Let s(i) = -2*i**3 - 4*i**2 - 14*i + 7. Is s(-10) prime? True Is (17 + -18)*(-546 - -1) a composite number? True Suppose 1586 = 2*y - 3*n, y - 91 = -5*n + 676. Is y a prime number? True Suppose 13 = 3*a + z + z, 0 = -4*a + 5*z + 2. Let k(b) = 25*b**2 - 5*b + 2. Let w be k(-4). Is w/a*(-6)/(-4) a prime number? True Let k(t) = 16*t + 5. Is k(3) prime? True Let d = 10 + -5. Suppose -16 = -d*h + h. Suppose h*o - 5 - 11 = 0. Is o a prime number? False Is ((-802)/6)/(4/(-24)*2) composite? False Suppose -30469 = -8*i - 2829. Is i a prime number? False Let z(r) = 233*r**2 + 2*r + 8. Is z(-3) a composite number? False Suppose 3 = -4*d + 5*d. Let b = -10 - -14. Suppose -3 = b*y - 3*v - 0, 5*y = -d*v + 30. Is y composite? False Let o be 14/4 - 3/2. Suppose 0 = -o*l + 42 + 20. Is l prime? True Let v = -65 + 93. Suppose 0 = -f + 75 - v. Suppose -3*d + 4*s + f = 0, 4*d = 5*d + 3*s - 33. Is d a composite number? True Let y = -13 + 2. Let n be y/(-3) + (-10)/15. Suppose 5*m + 2*w = 7, 5*m = n*m - 4*w - 10. Is m a composite number? False Let m be 2/8*(-36)/(-3). Suppose -m*s - 44 = -2*s - 4*p, -2*p - 220 = 5*s. Let o = s + 95. Is o a prime number? False Suppose 17 = 4*w - 11. Let p(m) be the second derivative of m**5/20 - 5*m**4/12 - m**3/3 - 7*m**2/2 + m. Is p(w) a prime number? False Let y = 7 - 1. Let h = -3 + 5. Is (2 + 103)*h/y prime? False Suppose -4*a = -2*l - 4, 5*l + 0*a - 1 = -a. Suppose l = -q + 2*q - 14. Is q composite? True Let n(a) = -a + 24. Is n(-10) prime? False Let w = 124 - 7. Let p(x) = -171*x**3 - 2*x - 1. Let g be p(-1). Let s = g - w. Is s prime? False Let t(l) = 3*l**2 + 8*l + 5. Is t(-6) composite? True Let a = -17 - -21. Suppose -60 = a*r - 2*c - 242, -2*c + 94 = 2*r. Is r composite? True Suppose 4*g + 25 = 77. Let t = -9 + g. Suppose 2*d - 86 = -t*c + d, 2*c - 54 = 5*d. Is c composite? True Let g(v) = v**3 + 8*v**2 - 3*v - 7. Let f(y) = -y**3 - 7*y**2 - 6*y - 6. Let d be f(-6). Is g(d) a composite number? False Let o(a) be the first derivative of -4*a**2 - a + 3. Is o(-4) a prime number? True Suppose -42*y - 1012 = -46*y. Is y a composite number? True Let g(k) be the first derivative of -1/2*k**2 - 1 + 67*k. Is g(0) a composite number? False Let w = 421 - 210. Is w prime? True Suppose -5*y + 4*y = 0. Suppose c - 92 + 13 = y. Is c prime? True Let c(j) = j**3 - 6*j**2 + 5*j + 5. Suppose -5*o - 6*r = -11*r - 30, 5*r = -4*o + 33. Is c(o) a prime number? True Let j be -2 - (-2 - (-2)/1). Is (-680)/16*(0 + j) composite? True Let a = 1 + 1. Let l(b) = -a + 5 + b - 1 + 16*b**2. Is l(3) prime? True Let c(u) = -305*u + 32. Is c(-9) composite? False Let i = -92 + 219. Is i a prime number? True Suppose -528 = -c - 4*o - 177, -c + 2*o + 381 = 0. Is c a composite number? True Suppose 0 = -4*t + 2*d + 282, -2*t + 0*d - 3*d = -121. Let j = t + 81. Is j a composite number? False Suppose -3*h + 5*p = -5*h + 873, 0 = -4*h - 5*p + 1771. Is h a composite number? False Let i(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2/2 + j - 2. Let a(w) = 4*w**3 - 7*w**2 - 2*w + 4. Let y(b) = 2*a(b) - 7*i(b). Is y(3) prime? True Let s be -1 + 1 + 1 + 5. Let f(r) = r**3 - 4*r**2 - 8*r. Let m be f(s). Is (-4)/2 + m + 1 prime? True Let k be (0 + 2)*3/(-6). Is k/((3/(-59))/3) composite? False Suppose -u + 16 = -17. Let y be (u/(-2))/((-2)/36). Suppose 52 = -5*p + y. Is p a prime number? False Let z(t) = t**3 - 8*t**2 + 5*t. Let f be z(11). Let o = f + -227. Is o a prime number? True Suppose 2*m + 5063 = 3*f, -3378 = -2*f - 3*m + 5*m. Is f prime? False Let x = 122 + -57. Suppose 0 = 4*w - x - 67. Is w composite? True Let b be -5*(12/5 - 2). Let s(k) = -2*k + 1. Let m be s(b). Suppose -3*t = 5*h + 2*t - 190, 4*h = -m*t + 156. Is h a composite number? True Let j(m) = 2*m**3 - 8*m**2 - 4*m - 1. Is j(6) composite? True Let s(m) = 2*m - 2 - 1 + 4 + 72*m**2 - 4*m. Is s(1) a prime number? True Suppose 0 = 3*j - 4 - 2. Is 1*j/(-4)*-74 composite? False Let j = 82 + -51. Suppose -n - 2*n + j = 5*h, 5*n - 4*h - 27 = 0. Suppose -q = -8 - n. Is q a composite number? True Let o = 628 + -417. Is o a prime number? True Suppose 4*w - 1043 = -f, 0*f + 4*f - 4153 = 3*w. Is f prime? True Let x = -43 - -275. Suppose x + 23 = 5*g. Is g prime? False Suppose 0 = -2*r - 2*r + 8. Is (-13 - 2)/(-3 + r) prime? False Let o(d) be the third derivative of -d**6/120 - d**5/20 + d**4/4 + 5*d**3/6 - 2*d**2. Let a be o(-5). Suppose 3*k - 5*g - a = 27, -4*k = 3*g - 50. Is k prime? False Let l(h) = 7*h + 2 + 1 - h**2 - 2. Let m(a) = -2*a - 5. Let b be m(-5). Is l(b) composite? False Suppose 2*c + 69 = -5*q, -3*q - 4*c = -1 + 48. Let f = 78 + q. Is f a prime number? False Is (-124 - (0 + -2))*-1 prime? False Suppose -423 = -9*f + 324. Is f composite? False Let j(u) = u + 8. Let k be j(-4). Let b(h) = 24*h - 9. Is b(k) composite? True Suppose 4*r - 199 = -4*v + 105, -v + 68 = -r. Suppose o + 33 = -u, 7*o + 169 = -5*u + 3*o. Let z = u + v. Is z a prime number? False Is (-141)/2*(-20)/15 prime? False Let a(o) = o - 8. Let w be a(11). Is 0/(-1) + 82 + w prime? False Suppose 27705 = 5*w - 5*f, -6*f - 16619 = -3*w - 2*f. Is w composite? True Suppose 3*z = -5*h + 8 - 1, 0 = 4*z + h - 32. Let y = -3 + z. Is y a composite number? True Let v be (-1 - 2 - -3) + -9. Let p(w) = w**3 + 10*w**2 + 6*w + 4. Is p(v) composite? False Let r(n) = -17*n - 3. Let o be r(-10). Suppose 2*f + 3 = f, -5*c = f - o. Is c a composite number? True Let t(y) = y**2 - 3*y + 4. Suppose -1 = -k - 2*v, 3*v - v - 7 = k. Is t(k) composite? True Suppose 5*h - f + 4*f - 94 = 0, -2*h = 4*f - 32. Let q = 43 - h. Is q a composite number? False Let v be 2/(-4)*(-3 + -5). Suppose -2*t + 274 = v*s, -139 = -2*s + 3*t - 2*t. Is s a prime number? False Let g(i) = -5*i**3 + 3*i**2 + 3*i - 4. Is g(-3) a prime number? True Let n be (-4)/(-2) + 0 + 0. Let z = 16 - n. Suppose 4*x = -m + 57, -2*x + z = -3*m - 11. Is x a composite number? True Suppose 4*d - 1062 - 297 = -5*v, d - 814 = -3*v. Is v composite? False Let x be (-2)/9 + 119/9. Suppose 3*s = -1 + x. Suppose -s = 4*p - 136. Is p a composite number? True Suppose a + 2*f = 529, 6*f - 15 = 3*f. Is a a composite number? True Let f(d) = 6*d**2 - d - 11. Is f(-6) a prime number? True Suppose -i + 5*i - 12 = 0, 2*j = -4*i + 334. Is j prime? False Suppose -k - 4*k = 20, 147 = 3*f - 3*k. Suppose 0 = -2*z + 85 + f. Is z prime?
{ "pile_set_name": "DM Mathematics" }
15)/(3/(-126)). Let z be (-3)/14*8*t. Let b = z - 217. Does 26 divide b? False Let y be (-60)/25*5/(-2). Suppose -v + y = 1. Suppose 73 = v*k - 37. Is 6 a factor of k? False Let u = 924 + -649. Let x = u + -195. Is 16 a factor of x? True Suppose 4*l + 5 = l + 2*d, -3*d - 1 = 4*l. Is (91/28)/(l/(-28 + 0)) a multiple of 13? True Let k(h) = -h**2 + 9*h - 9. Let p(w) = w + 12. Let n be p(-5). Let q be k(n). Suppose -4*j + 2*r + 218 = 40, -r = q. Does 11 divide j? False Let a(m) = -2*m**2 - 113*m + 13. Does 43 divide a(-48)? False Suppose -2*r = v, 2*v - v + 5*r = 0. Suppose -c + 5*i + 31 = 0, 4*c + v*i + i - 19 = 0. Does 5 divide c? False Let j(w) = -w - 3. Let h be j(-9). Suppose 0 = h*z - 8*z + 68. Does 6 divide z? False Suppose -2*u + j = -132, 140 + 126 = 4*u - j. Let y = u + -1. Is y a multiple of 16? False Suppose -21*z = -29*z + 16296. Is 97 a factor of z? True Let h = -80 - -370. Does 10 divide h? True Suppose -25 = -0*q - 3*q + 4*j, 3*q + 4*j = -7. Let b(n) = -9*n + 2 - 4 + q. Is 10 a factor of b(-1)? True Let m(n) = n + 14. Let j be m(-14). Let k(x) = -2*x**2 - x**2 + 35 + 2*x**2. Is 13 a factor of k(j)? False Let x(w) = 280*w**3 + 5*w**2 - 6*w + 8. Let o(t) = -140*t**3 - 3*t**2 + 3*t - 4. Let u(g) = 7*o(g) + 4*x(g). Is u(1) a multiple of 7? True Let a(i) = i**3 - 11*i**2 + 12*i - 17. Let l(s) = -s**2 - 8*s - 2. Let h be l(-6). Is a(h) a multiple of 2? False Suppose 10 = -2*q, -5 - 5 = 5*n + 5*q. Suppose -p = -3, n*f + 3*p - 110 = -41. Does 3 divide f? False Does 20 divide (13 - 68/6) + 112/3? False Let h = 176 + 406. Does 12 divide h? False Is 14168/(-231)*-1*486/8 a multiple of 9? True Let f(j) = 3*j**2 + 166*j - 164*j + 1 + 30. Is 31 a factor of f(-8)? False Suppose 2*m = 0, 5*m - 357 = 15*f - 18*f. Does 7 divide f? True Is 13 a factor of (606/(-9))/(12/(-306))? False Let d(l) = l**2 - 8*l - 20. Let o be d(10). Let q(c) = 3 - 17*c - 4 - 3 + o*c + 2*c**2. Is q(10) a multiple of 11? False Let w = -24354 - -16327. Is 1/2 - w/46 a multiple of 35? True Let w(t) = -t**3 - 4*t**2 + 4*t - 1. Let h be w(-5). Let x be (h/(-6))/(40/(-660)). Let i = 47 - x. Is i a multiple of 18? True Suppose -r + 5*p = -32, 50 = 5*r - 2*p - p. Let m be 3 + (-8)/2 + r. Is 5 a factor of 4/m - 185/(-15)? False Suppose -9*c = -2*c - 9772. Is 92 a factor of c? False Suppose -z - 3*t = -1 + 3, -11 = 3*z + 4*t. Let s = z - -17. Does 3 divide s? True Suppose -183 = -3*j - 30. Suppose d + j = 234. Let p = d - 85. Is 34 a factor of p? False Let m = -2 + 4. Suppose -m*p - 13 = v - 7*p, -5*p + 31 = -2*v. Is v/63 + (-144)/(-14) a multiple of 4? False Suppose -z + 461 = 2*g, 5*g + 3*z - 1163 = 4*z. Is 58 a factor of g? True Let z = 110 - -93. Is z a multiple of 26? False Let a(j) = 9*j - 18. Let c be a(14). Suppose 0 = -3*x + 5*l + 99 + c, 3*l = 0. Does 24 divide x? False Let n = 87 - 75. Suppose 0 = 3*j + 3*v - 51 + n, 0 = -4*j + v + 62. Is j a multiple of 15? True Let m(r) = -r + 18. Suppose x + 5*u = -37, 3*x + 31 = 6*u - u. Is 7 a factor of m(x)? True Let l(p) = -27*p + 36 + 0*p**3 + 11*p + p**3 + 0*p**3 + 15*p**2. Does 18 divide l(-16)? True Let a be (-1)/((-35)/15 + 2). Suppose -5*r = a*k - r - 562, 3*r + 170 = k. Is k a multiple of 14? True Let q = -6 - -3. Is 5*((-284)/60 - q)*-3 a multiple of 3? False Is 9684/57 - (-8)/76 a multiple of 10? True Let m = -64 + 123. Let k be (-7 - (-6 + 3))*2. Let i = k + m. Does 17 divide i? True Let p(b) = 3*b + 11. Let o be p(0). Let f = 18 - o. Does 2 divide f? False Let n(l) be the first derivative of -5*l**2 - 38*l + 9. Does 5 divide n(-7)? False Suppose 3*j = 6*f - 5*f - 128, -4*f = -5*j - 491. Is 7 a factor of f? True Suppose 9*y - 210 - 4776 = 0. Is y a multiple of 35? False Let b(m) = -7*m + 4. Let a be b(-3). Suppose -s + 2 = 0, 5*g + 3*s = -2*s + 10. Suppose -a = -u - g. Is 10 a factor of u? False Suppose -7*y = -2*y - 15. Let v be 1/3*(y - -3). Suppose 3*o + 11 = b, -4*b - 6*o = -v*o - 60. Is 7 a factor of b? True Let o(w) = w**2 - 11*w - 10. Let f be o(12). Suppose f*k = -k - 60. Let x = -13 - k. Does 7 divide x? True Suppose -4*z + 20 = 0, z = -5*p + p + 17. Suppose -9*a = -p*a - 24. Is 7 a factor of a + -2 - (-30)/6? True Suppose 6*h + 55008 = 2*h. Is h/(-132) - (-4)/(-22) a multiple of 23? False Let n(w) = 295*w**2 + 14*w + 33. Is n(-2) a multiple of 15? True Let d be ((-44)/(-55))/(2/5). Suppose c = -2 + 1, -d*c = -2*k + 128. Let j = 103 - k. Does 11 divide j? False Let j(a) = a + a**3 - 5*a**2 + 5*a + 2*a + 4. Is 24 a factor of j(6)? False Let q(h) = -h**2 + 8*h + 16. Let k be q(9). Suppose k*v = 112 + 616. Does 26 divide v? True Let d = -20 - -55. Let c = d - 31. Suppose c*x = 23 + 89. Does 7 divide x? True Suppose 4*t = -t - y + 25, -4*y - 32 = -2*t. Suppose t*n = 9*n - 567. Is n a multiple of 15? False Suppose -5087 - 2323 = -26*o. Is o a multiple of 15? True Let w = 42 - 37. Is 87 - -1 - (3 - w) a multiple of 18? True Suppose 13*c = 4*i + 10*c - 15463, 15459 = 4*i + c. Is 13 a factor of i? False Suppose 2*n + 9*t - 12*t = 371, 180 = n + 4*t. Is 47 a factor of n? False Suppose l + 16 = 3*l. Let m = 12 - l. Suppose -m*j + 38 = 2*p, -2*j + 12 = -5*j. Is 22 a factor of p? False Suppose 3*r + 3*n - 1230 = 0, r - 538 = -4*n - 125. Does 36 divide r? False Suppose 210 = 4*q + 2*f, 5*f - 80 = -2*q + 5. Let d be (q/(-22))/((-2)/4). Suppose 2*p = -4*w + 40, d*p + 3*w = 6*w + 48. Is 6 a factor of p? True Suppose 975 = 3*l + 75. Let n = l - 202. Is n a multiple of 14? True Let h = 49 - 49. Suppose h = -15*g + 16*g - 19. Is g a multiple of 6? False Suppose -3*c = -2*n - 13, -3*c - c - 3*n + 23 = 0. Suppose -x = 2*o + c, o + x + 3 + 1 = 0. Let s = 11 - o. Is 6 a factor of s? True Suppose -15*x + x = -910. Is x even? False Suppose 4*h - 5*h - 4*g + 481 = 0, -4*g = 3*h - 1467. Does 4 divide h? False Let h(d) = 35*d**2 - 2*d + 3. Let n be h(2). Suppose 0 = -4*j - g - n, 8 = 3*g - 7. Let b = -15 - j. Is 7 a factor of b? True Suppose -4*h + 20 = 2*n, 4*h - 3 = -5*n + 29. Suppose -111 - 41 = -n*b. Does 24 divide b? False Let f(a) = -a**3 - 10*a**2 - 5*a - 11. Let m(h) = 3*h**2 - 8. Let g be m(-4). Suppose 7*y = 3*y - g. Is f(y) a multiple of 13? True Suppose -581 + 2213 = 2*u + 5*n, 3*u + 5*n = 2448. Is 43 a factor of u? False Let r be (-1)/(22/12 + -2). Suppose 14 = -5*d - r. Is (-235)/d + 3/(-4) a multiple of 19? False Let u(v) = 30*v - 10. Does 19 divide u(4)? False Suppose 2*r = 3*n - 14, -2*r - 11 = -2*n + r. Suppose -n + 43 = -m. Let y = -24 - m. Does 15 divide y? True Let v(s) = -5*s**2 + 5*s - 1. Let p(n) = 9*n**2 - 10*n + 1. Let o(l) = -6*p(l) - 11*v(l). Let b be (1 - 0/4) + -6. Does 3 divide o(b)? False Suppose -4*s - 2*r = 46, -s - 11 = 4*r + 18. Let q(z) be the first derivative of -z**4/4 - 3*z**3 - 2*z**2 + 2*z - 1. Is q(s) a multiple of 10? False Suppose 0 = 3*f - 2*f + 11. Let w(x) = -2*x**3 + 7*x**2 + 11*x + 21. Let d(p) = -p**3 + 3*p**2 + 6*p + 11. Let q(k) = f*d(k) + 6*w(k). Does 25 divide q(8)? False Is 3 a factor of 9*((-294)/(-315))/(2/10)? True Does 34 divide 1428/(-15)*40/(-16)? True Let a(t) = 5*t**3 + 44*t**2 + 4*t - 37. Let p(h) = h**3 + 11*h**2 + h - 9. Let l(c) = -2*a(c) + 9*p(c). Let m be l(11). Is 0 + (m + 52 - -3) a multiple of 17? False Let d(w) = 20*w + 66. Is d(3) a multiple of 14? True Let j(a) = 233*a**3 - 3*a**2 - 11*a + 15. Is j(2) a multiple of 68? False Suppose j - 229 = -2*v + 249, 5*j = 5*v - 1165. Let a = v - 88. Is 17 a factor of a? False Let c = -636 + 840. Does 51 divide c? True Suppose -15*w - 169 + 649 = 0. Does 3 divide w? False Suppose -l = 5*n + 44, -n = 7 - 2. Let p(v) = -v + 23. Does 7 divide p(l)? True Suppose 41*d - 18*d - 966 = 0. Is 3 a factor of d? True Let b be 2534/18 + (-6)/(-27). Suppose -2*p - 5*f = 52 - b, 0 = 5*f - 25. Suppose 4*m = 16, 2*m + 2*m = -x + p. Is x a multiple of 5? False Let t(c) = -4*c**3 + 8*c**2 - 8*c + 12. Let y(p) = p**3 + p. Let d(j) = -t(j) - 2*y(j). Is 4 a factor of d(5)? True Let u(y) = y**3 + 8*y**2 + y - 10. Let f be u(-5). Let b = f - 33. Is b a multiple of 16? False Suppose 0 = 8*c - 24*c + 1152. Is 36 a factor of c? True Let i(m) = 8*m**2 - 2*m - 1. Let h be -2 - ((3 - 27) + -3). Suppose -5*n = -h, 3*d + 4*n - 11 - 15 = 0. Is i(d) a multiple of 6? False Let y(w) = -112*w + 27. Does 86 divide y(-11)? False Suppose n = 2*n - 2*w - 285, n - 5
{ "pile_set_name": "DM Mathematics" }
13*o + 0*o**2 + 0*o**5 + 1/6*o**3 - 5/42*o**7 + 0*o**6. Find the third derivative of k(r) wrt r. -300*r**2 Let a be (-4)/6*12/(-16)*2. Let h be (8/(-16))/(a - (-22)/(-20)). What is the second derivative of -4*c + 12*c + c - 2*c**5 - 11*c**h wrt c? -260*c**3 What is the second derivative of 45224346 + 184*x + 9697*x**2 - 45224333 - 12*x wrt x? 19394 What is the second derivative of -950*k + 98 + 25*k**2 - 79 + 16*k**3 - 19 wrt k? 96*k + 50 Let o(h) be the third derivative of -h**7/105 - 151*h**6/30 - 5*h**4/24 + 6343*h**3/3 - 12176*h**2. What is the first derivative of o(r) wrt r? -8*r**3 - 1812*r**2 - 5 Let p(c) = -32*c**2 - 65*c - 7. Let o = -213 - -211. Let q(d) = 32*d**2 + 64*d + 5. Let n(s) = o*p(s) - 3*q(s). What is the second derivative of n(x) wrt x? -64 Let c be (-38)/(-18) + 1/(-9) + 3. Let n(q) = q + 1. Let b(k) = -135*k + 148. Let p(i) = c*n(i) + b(i). What is the first derivative of p(o) wrt o? -130 Let n(f) = -f**4 + f**3 - f**2. Let i(o) = 11*o**4 - 6*o**3 + 6*o**2 - 5*o + 1012. Let l(t) = i(t) + 6*n(t). What is the derivative of l(h) wrt h? 20*h**3 - 5 Let q be ((-4)/6)/(228/(-54) + 4). Differentiate -2 + 19*h**3 - 2*h**4 - 47 - 24*h**3 - 16*h**q wrt h. -8*h**3 - 63*h**2 Let b(c) = -2*c**3 + 4*c**2 - 2*c. Let a be b(2). Let v = 1 - a. What is the second derivative of -15*z**v - 7*z + 25*z - 3*z**5 wrt z? -360*z**3 Let m(l) be the second derivative of -539*l**4/6 + 631*l**2/2 - 77*l + 1. What is the first derivative of m(w) wrt w? -2156*w Let g(y) = 2450*y**3 + 9*y**2 - 5*y + 5. Let r(z) = -7350*z**3 - 28*z**2 + 16*z - 16. Let u(j) = 16*g(j) + 5*r(j). Find the third derivative of u(t) wrt t. 14700 Let w(v) be the first derivative of -25*v + 0*v**5 + 4/3*v**3 + 32/3*v**6 + 6 - 1/2*v**4 + 0*v**2. Find the third derivative of w(x) wrt x. 3840*x**2 - 12 Let a(c) be the third derivative of -c**5/60 - 635*c**4/24 + 847*c**3 - 88*c**2 + 9*c - 1. Find the first derivative of a(u) wrt u. -2*u - 635 Let m(n) = -5*n - 1. Let c(a) = 606*a**2 + 441*a - 5. Let h(v) = 2*c(v) - 10*m(v). Find the second derivative of h(b) wrt b. 2424 Let w be -18*(8 - 3 - 0)/(-2). What is the third derivative of -w*f**3 + 14*f**3 - 113*f**2 - 45*f**3 - 12*f**3 wrt f? -528 Let w(f) be the second derivative of -57*f**2 + 0*f**5 + 4/3*f**3 + 0*f**4 + 1/30*f**6 + 0 + 75*f. Differentiate w(i) wrt i. 4*i**3 + 8 Let u(k) = -32*k**4 + 8*k**2 - 6*k - 1366. Let a(v) = 97*v**4 - 23*v**2 + 20*v + 4098. Let t(q) = 3*a(q) + 10*u(q). Differentiate t(p) with respect to p. -116*p**3 + 22*p Let d = -162 + 168. Let i = -3 + 5. Find the third derivative of 5*o**2 - 12*o**i - d*o**2 - 11*o**2 - 13*o**4 wrt o. -312*o Let k(q) = -7200*q**4 + 10*q**2 - 5*q - 6327. Let z(d) = -3600*d**4 + 6*d**2 - 3*d - 3163. Let u(i) = -3*k(i) + 5*z(i). Differentiate u(s) wrt s. 14400*s**3 Suppose -112*a = -115*a + 21. What is the first derivative of 105*i**4 - a*i**4 + 13 + 3 wrt i? 392*i**3 Suppose 6*r + 28 - 28 = 0. Find the third derivative of r*u**5 + 615*u**2 - 672*u**2 - 82*u**6 + 0*u**5 wrt u. -9840*u**3 Differentiate -183*y + 203 + 29 - 89 + 19 wrt y. -183 What is the second derivative of 449 + 2*p**3 - 1461 + 9*p**3 - 11*p**3 + 3*p - 7404*p**4 wrt p? -88848*p**2 Let x(l) = 13*l + 49. Let v be x(-3). What is the first derivative of -75*z + v + 118*z + 46*z wrt z? 89 Find the third derivative of -25*h**3 + 659*h**2 - 22*h**3 - 2147*h**2 + 175*h**6 + 48*h**3 wrt h. 21000*h**3 + 6 Let z(t) be the third derivative of -t**6/120 - 211*t**4/8 + 669*t**3/2 - 20*t**2 - 6*t. Find the first derivative of z(f) wrt f. -3*f**2 - 633 What is the third derivative of x**3 + 312*x**2 - 2226*x**2 + 3*x**3 - 2*x**3 + 164*x**4 - 1897*x**2 wrt x? 3936*x + 12 Suppose 6*q - 23 + 11 = 0. Find the first derivative of -58*s**q - 982 + 153*s**2 + 1127 wrt s. 190*s Suppose 10*u + 95 = 285. What is the first derivative of -u*s**3 + 5 - 3*s - 154 + 5*s wrt s? -57*s**2 + 2 Suppose 3*g = -2*h + 6*h - 2724, 0 = g + 4. Suppose 0 = 6*r - 3*r - h. What is the second derivative of 226*q**3 - 22*q - 21*q**5 - r*q**3 wrt q? -420*q**3 Let u(k) be the third derivative of -781*k**5/30 - 316*k**3 - 306*k**2. Find the first derivative of u(z) wrt z. -3124*z Let d(h) be the third derivative of -h**6/120 - 7*h**5/30 + 2*h**4 - 1307*h**3 + 2*h**2 + 1189*h. What is the derivative of d(c) wrt c? -3*c**2 - 28*c + 48 Let a(c) be the second derivative of -c**7/42 + 179*c**4/2 - c**3/6 - 340*c**2 - 681*c. What is the second derivative of a(z) wrt z? -20*z**3 + 2148 Let c(x) be the first derivative of -209 - 15/2*x**4 + 88/3*x**3 + 0*x + 0*x**2 + 6/5*x**5. Find the third derivative of c(z) wrt z. 144*z - 180 Find the third derivative of -13862*y**2 + 16730*y**2 - 5*y**4 + 8523*y**5 + 2*y + 5*y**4 wrt y. 511380*y**2 Let y = -546 + 549. What is the second derivative of -44*f - 167*f - 12*f**y - 26*f**3 - 143*f**3 wrt f? -1086*f Let n(c) = 10. Let v(x) = -10*x**2 - 264*x - 244. Let f(g) = -6*n(g) + v(g). What is the derivative of f(h) wrt h? -20*h - 264 Let f be (-75)/(144/(-15) - -9). What is the third derivative of 112*k**2 - 26*k**2 + 45*k**3 + f*k**2 wrt k? 270 Let x(z) be the first derivative of 275*z**4 - 1860*z + 1420. What is the derivative of x(o) wrt o? 3300*o**2 Let j(m) = -9*m - 34. Let v(n) = 10*n + 34. Let a(r) = 6*j(r) + 5*v(r). Let b be a(-9). Differentiate 37*y**b - 11 - 16*y**2 - 7*y**3 - 21*y**2 wrt y. -21*y**2 Let b(h) be the first derivative of 1025*h**5 - h**3 + 416*h + 4125. Find the third derivative of b(u) wrt u. 123000*u Find the second derivative of -142*a**3 - 157*a**3 - 164*a**5 + 297*a**3 - 7 - 102*a wrt a. -3280*a**3 - 12*a Suppose -4*y = 3*o - y, -2 = -3*o - 2*y. What is the third derivative of 405*h - 61*h**o - 405*h + 20*h**4 - 2*h**6 wrt h? -240*h**3 + 480*h Let k(l) = -13*l + 3. Let c be ((-10)/15)/(-4*1/(-6)). Let f be k(c). Find the third derivative of 4*z**3 + 9*z**6 + 2*z**6 + f*z**2 - 4*z**3 wrt z. 1320*z**3 Let f(s) be the third derivative of 42*s**5/5 + 11*s**4/24 - 7*s**3/6 - 40*s**2 + 6*s. What is the second derivative of f(c) wrt c? 1008 Let f(x) = -x**2 - 12*x + 32. Let t be f(-14). What is the derivative of -3*j - j**3 + 3*j - 7 - 28*j**t - 24*j**4 wrt j? -208*j**3 - 3*j**2 Find the second derivative of -27*u - 10490*u**4 - 737*u**4 - 1 - 969*u - 625*u wrt u. -134724*u**2 Suppose -4*c + 0*c = -480. Differentiate -53*g**2 - c - 18*g**2 + 184*g**2 with respect to g. 226*g Let n(d) = d**3 + 6*d**2 + 5*d + 4. Let y be n(-5). Suppose -y + 19 = 3*p. Find the second derivative of 12*m**4 - 23*m**4 - 21*m - p*m**4 wrt m. -192*m**2 Let r(d) = d**3 + 8*d**2 + 9*d. Let i be r(-6). Suppose 5*g - i - 2 = 0. What is the second derivative of -21*m**5 - 8*m + 3*m**5 + m - g*m wrt m? -360*m**3 Let f(g) be the second derivative of g**7/21 + 1023*g**6/10 - 4201*g**4/12 - g - 504. Find the third derivative of f(w) wrt w. 120*w**2 + 73656*w Let q(n) be the third derivative of 1819*n**6/120 + 3*n**4/4 - 85*n**3/3 - 4*n**2 + 256*n. Find the second derivative of q(i) wrt i. 10914*i Let y(i) be the third derivative of -2087*i**6/60 - 671*i**3/3 - 4336*i**2. Differentiate y(x) wrt x. -12522*x**2 Let l(o) be the third derivative of -o**6/120 - 593*o**5/30 + 7*o**4/8 - 8*o**3/3 + 463*o**2. Find the second derivative of l(c) wrt c. -6*c - 2372 Let r(p) be the third derivative of p**6/60 - 35*p**5/6 - 11*p**4/6 + 13*p**3/3 + 1003*p**2. Find the second derivative of r(q) wrt q. 12*q - 700 Let q be (0 - -2)/(2/41). Let v = q + -32. What is the third derivative of -24*r**2 - 3*r**6 + r**6 + 5*r**6 + v*r**2 wrt r? 360*r**3 Let z(q) = -q**3 - 5*q - 1. Let r(a) = -511*a**3 + 5*a**2 - 340*a - 6. Let y(s) = -r(s) + 6*z(s). Find the second derivative of y(t) wrt t. 3030*t - 10 Find the second derivative of 151*z**5 - 10*z**2 + 4*z**2 + 31*z**3 - 101*z**3 - 231*z + 70*z**3 - 5 wrt z. 3020*z**3 - 12 Let p(v) = -243*v**3 + v**2 + 2*v + 7270. Let g(i) = -3400*i**3 + 15*i**2 + 27*i + 101779. Let u(t) = 2*g(t) - 29*p(t). Find the first derivative of u(z) wrt z. 741*z**2 + 2*z - 4 Let q(n) be the second derivative of 2/3*n**4 + 0 - 102*n + 0*n**2 + 39/2*n**3. Find the second derivative of q(o) wrt o. 16 Find the second derivative of -229*n + 115*n + 634*n**2 + 738*n**2 + 555*n**2 + 804*n wrt n. 3854 Let v(o) be the second derivative of -2*o -
{ "pile_set_name": "DM Mathematics" }
-40) - (0 + 27/6)? 3/2 (-235)/5170 - (-1)/((-22)/549) -25 What is (27/(-4))/(2835/3780)? -9 What is the value of 4032/(-1568)*14/5*(-10)/(-6)? -12 Evaluate (-405)/(-945) + (-370)/14. -26 Evaluate (-9 - 114/19) + 35 + -4. 16 What is the value of 16/18 + (-4800)/2160? -4/3 ((-140)/(-64)*8)/(-1)*(-8)/(-10) -14 What is the value of (-2)/(-225)*9 - (-12773)/(-10600)? -9/8 86/129*(9 + (-516)/48) -7/6 Calculate 101 + -100 + (72/30)/(6/15). 7 What is the value of (-112)/(-10) + 44 + -47 + -9? -4/5 ((-25608)/32)/33 - 4/(-16) -24 What is (-184)/120 - (-13 - (-2509)/195)? -7/5 What is (-4)/22 + (18/(-22))/(597/11542)? -16 (-2072)/(-703) - 1*(1 - -2) -1/19 Calculate ((-735)/30 + 32)/((-9)/6). -5 Calculate (-23)/69*3*-8. 8 2180/(-109) + (6 - 3) -17 Calculate (-60)/(-960) - (-1195)/80. 15 What is 4/(-3) + 730/511? 2/21 What is the value of (-20)/(-12)*720/(-7500)? -4/25 What is 9801/(-14652) + (5 + -3)*3/8? 3/37 What is the value of (742/(-18) + 41)/((1/(-6))/1)? 4/3 Evaluate (-548)/(-18) + (-1324)/2979. 30 Evaluate ((-63)/(-35))/(((-9)/(-6))/(11 + -1)). 12 What is 195/10*(-11 - (-777)/63)? 26 (-2)/((4/(-3))/(480/(-144))) -5 Evaluate (-9)/6*(213/18 + -12). 1/4 What is (88/99)/(224/288)? 8/7 What is the value of ((-495)/(-6))/(-3) - (-160)/(-64)? -30 What is (8/(-32))/(1/50) - 1/2? -13 Calculate (65050/(-1301))/(-1 - -3). -25 What is -4 + -3 + 319/(-132)*-3? 1/4 (-2338)/(-2004)*(-15)/14 -5/4 Evaluate (234/45)/(-3*(-6)/(-45)). -13 What is the value of (132/(-726))/((-75)/55)? 2/15 What is the value of (23/(-4) - 2/8 - 5)/(-1)? 11 Calculate (-112)/210*(-3)/4 + (-737)/2680. 1/8 What is the value of (-7)/1 + (-6*117/104 - -13)? -3/4 What is the value of (-3)/(-80)*-2 + -45 + 31218/688? 3/10 Evaluate 21 + -18 + (-128)/8. -13 Calculate (696/(-14))/29 + 198/91. 6/13 Evaluate (18 - (-531)/(-27))*(-198)/30. 11 What is (2/37)/((-1)/(-4)*(-1492)/373)? -2/37 (-12)/11 - 2568/(-2354) 0 What is (29 + -20)*(-49)/63 - (-68)/9? 5/9 Calculate -5*3/(-15) - (-16)/(272/(-15)). 2/17 Evaluate 50/(80/75 - 132/(-220)). 30 What is the value of -4 + 6/48*(60 - (-56)/7)? 9/2 (-2 - -3)/(13 - (35 + -3)) -1/19 What is the value of (-1025)/5330*24/30? -2/13 What is the value of 15 + -13 + (-354)/39 + 7? -1/13 What is the value of ((-1)/(-5))/(20 + 25236/(-1260))? -7 Evaluate ((2655/(-300))/(-59))/(4/10). 3/8 What is the value of 6 + -2 - ((-6)/57 - 5828/589)? 14 Evaluate -119*(-24)/896 - 9/3. 3/16 What is (-9 - (-17 + 1))*(-1)/1? -7 (-1)/12 + (-460)/240 + 4 2 Evaluate ((-4)/21)/(188/658). -2/3 Evaluate (-310)/(-31)*4/(-24)*3. -5 34/(-4)*(813 + -817) 34 Evaluate (-2)/(((-2)/(-20))/((-36)/(-144))). -5 What is the value of 18 - (-9 - -10)*26? -8 39/1001 + 8/(-44) + 6/(-105) -1/5 Evaluate 48/(-15) + ((-225)/50)/(27/(-6)). -11/5 What is (-3)/(24/(-56) - 12/(-224))? 8 What is the value of 6/5 + (-726)/(-55) + 65/(-5)? 7/5 -5 - ((-13 - -2) + 36/(3 - -3)) 0 Evaluate (-280)/(-350) + 172/(-190). -2/19 (-13)/(-31 + -3 + 31) 13/3 -1 - 936/94 - 910/21385 -11 What is 75/(-4) - (7869/5124 - (-10)/14)? -21 Calculate (0/((-70)/(-7)))/2. 0 What is the value of 2*(-1)/16 - (-7743)/696? 11 Calculate 60/48*8/(-5). -2 32763/(-1407) - 69/(-3) -2/7 6/(-60) - ((-149)/(-4))/((-50)/(-20)) -15 Calculate 2/(8 - (900/24)/5). 4 (4/6*6 + (44 - 49))*-13 13 What is the value of (-153)/4080*5/(-3)? 1/16 Calculate (-416 - -422) + -37*1/7. 5/7 What is the value of (8745/(-605) - -12)/(-1 + (-3)/6)? 18/11 8 + (-273)/25 + 9 + -6 2/25 Calculate 25 + (-391)/17 - 38/18. -1/9 Evaluate 1/(1 + 270/(-252)). -14 What is the value of (29/(-174) - 3/(-9))*78? 13 What is the value of (-19)/((-152)/(-48)) - (-15 + 3)? 6 ((-8)/15)/(2424/(-505)) 1/9 Calculate -3 + (-1639)/(-88) + -16. -3/8 What is -2 - (19/(285/(-2)))/((-3)/(-40))? -2/9 Evaluate 86/129*3/(-2). -1 (-3132)/(-319) + (-6)/(-33) 10 Evaluate 24/(-396)*(-13 + (-24)/(6/(-1))). 6/11 Calculate -2*(6 - 74/20) + (-50)/(-10). 2/5 What is the value of (0 - 2)*(-7)/(-6)? -7/3 Evaluate (-328)/32 - 1 - (14/8 + -2). -11 What is the value of -299 + 276 + 12/2? -17 -2*((-3827)/4984 + 15/24) 2/7 What is the value of (0 + 2)*(-918)/612? -3 What is 8 - 7/(-56)*(633/(-9) - -9)? 1/3 What is the value of 87/(-33) - ((-206)/70 - (-6)/(-105))? 4/11 Calculate (37 - 5434/152) + ((-19)/(-4) - -1). 7 Evaluate (-298)/16 - (28 - 235/5). 3/8 3/((10/100)/(4/(-15))) -8 Calculate ((-4)/(-7))/(4*46/(-1288)). -4 Calculate (-66)/(-495) + (-236)/(-84)*2/(-10). -3/7 Evaluate 56/2 - (-30)/(-2). 13 (-44)/(-63) - (2378/(-87))/(-41) 2/63 Calculate -4*(21 - 9)/(-6). 8 Calculate 9*(-28)/(-1386) - (1 + (-273)/11). 24 (-336)/364 - 116/(-182) -2/7 Evaluate 5 + (12/8)/(83/10 - 8). 10 (224/(-576))/((-10)/16) - 4/10 2/9 ((-112)/42)/((-1)/(-3)) -8 What is 285/114*138/(-15)? -23 What is (-288)/(-768) + (-1058)/(-208) - 5? 6/13 Evaluate -4 - (80/(-9) - -2 - (-78 - -75)). -1/9 Evaluate ((-44)/(-165))/((-18)/(-45)). 2/3 What is the value of 3/90*-4 + (-1728)/(-4860)? 2/9 Calculate 180/(-13) + 446 + -432 - (-63)/(-156). -1/4 What is the value of 58/(-8) + 173 + -164? 7/4 81/(-135) - 265/(-275) 4/11 What is (4 - 570/152)/((-3)/(-32))? 8/3 What is the value of ((-1016)/381)/(8/(-6))? 2 Calculate (((-29)/(-174))/(40/24))/((-2)/(-5)). 1/4 What is the value of -2*4 + (14 - 137/23)? 1/23 Evaluate (4/7)/(57*8/84). 2/19 (3/15*5)/(29/((-261)/36)) -1/4 (-12)/36 - (-150)/(-360) -3/4 Evaluate (30 + 4284/(-144))/(0 + -1). -1/4 What is the value of 5/6*(42/20 + 1050/(-84))? -26/3 -337 + 348 - 222/20 -1/10 0 + -5 + (-6 - -5) + (-34)/(-6) -1/3 6 - -1 - ((-36225)/46)/(-63) -11/2 Evaluate -18 + (4 - (4 + (-3)/((-30)/(-80)))). -10 Calculate 2198/(-154) - -14 - (-38)/(-22). -2 3*(50/75)/((-336)/18) -3/28 Calculate (-2)/3*(111/(-6) + -1). 13 Evaluate (5*287/(-10865))/((-14)/4). 2/53 Evaluate -1*(-15 - -3 - 0/(-38)). 12 Calculate (-260)/(-360)*(-6)/(-39). 1/9 Calculate 5*11/(110/(-16))*(-5)/50. 4/5 Evaluate (18/15)/1 - 6/(-30)*-5. 1/5 What is the value of ((-45)/2400*-20)/((-72)/(-160))? 5/6 What is the value of 2*-1*70/(-20)? 7 What is (-102)/(-90) + -3 + (-106)/(-159)? -6/5 What is the value of -11*(-2 + 80/11 - 6) - 28? -20 What is the value of -3*4*37/74? -6 What is the value of 294/336 - (-8 + 9)? -1/8 Evaluate (-20559)/(-6942) + ((-1 - 7)/4 - 1). -1/26 What is 3*1*250/(-300)*10/25? -1 8/(-36) + (-7 - (-228)/54) -3 What is (-114)/(-12) + (-81)/18? 5 What is (-10)/2 - (-2*2 + 602/(-215))? 9/5 What is (-60)/(-165) - (135/(-385) - -1)? -2/7 What is the value of 38/(304/(-40)) - 43*1/(-9)? -2/9 What is 12/(-150) - 427/(-25)? 17 ((-366)/(-18) - 19)*(-9)/(-2) 6 What is ((-5)/(-60))/(-4*11/198)? -3/8 What is the value of (-10 - -11) + (-17)/(-119) + (-100)/14? -6 What is the value of 39/((-83538)/(-360)) + 5/(35/(-2))? -2/17 What is -22 - (-1 - (-2618)/(-126))? -2/9 -28*156/273 - 2*-22 28 What is 15/6*184/(-92)? -5 What is the value of ((-63)/14)/9*(-52)/(-78)? -1/3 (429/(-462) + 1)*(-4 + 0) -2/7 Calculate 308/140*96/(-528). -2/5 Evaluate (-2)/(-11*30/(-165)). -1 What is (1/(-13) - (-2280)/741)*(-4)/6? -2 What is the value of 4/3 - 1652/177? -8 What is (-1)/10*-155*-2? -31 Evaluate (-45)/30 + 4 + -4. -3/2 What is the value of (11 + -6)/((-365)/1752)? -24 What is the value of (-1 - 4) + 864/48 + -20? -7 Evaluate -15 + (205/1230)/(2/252). 6 Calculate (-2)/3 + (351/63 - 4)/3. -1/7 Calculate (-96)/63 + 954/1113. -2/3 What is (-297)/(-21) + 4/2 + (-1)/7? 16 What is the value of (-5496)/(-30457) + 4/38? 2/7 (-2)/(10488/(-989)) - (-2)/(-19) 1/12 What is the value of (33 - 53)/(-6 + -3 - -8)? 20 Calculate (-3*(-1)/27)/((1204/(-280))/(-43)). 10/9 Evaluate (-8)/12*(-9)/24*12. 3 What is the value of 6340/900 + (6 + 16/(-1) - -3)? 2/45 Calculate (-49)/((-637)/78) + -7. -1 (17 + 1780/(-100))*10/(-4) 2 What is (11 - -23)/((40/(-6))/((-6)/(-9)))? -17/5 (-1)/(-6*12/576) - -8 16 Evaluate (3/(-21))/(18 + -29 - (-375)/35). 1/2 Calculate (3 + 4)*((-24)/7)/6 + 10. 6 (2 - (-9)/(-5))/(576/585 - 1) -13 What is the value of ((-68)/(-1122))/(2/(-279)) + 9? 6/11 What is the value of 76*(-4)/28 + -4 + 15? 1/7 8 + (24/1)/(-3) 0 ((-176)/240 + (-13)/(-39))*(-35)/8 7/4 (-48)/12 + -3*(-276)/162 10/9 Evaluate (-17 - -30) + -2 - 92/6. -13/3 Calculate (1/10)/(55/55). 1/10 4/(-1*2) - 6591/(-2535) 3/5 What is the value of 1/(2/294)*(-414)/(-2898)? 21 What is the value of 66/(-44)*(-4)/(-99)?
{ "pile_set_name": "DM Mathematics" }
is bigger: -117 or -94? -94 Is 88/19 smaller than 4? False Is 41 greater than or equal to 52? False Is -1 smaller than 17/347? True Which is bigger: 0 or -1/1516? 0 Which is greater: 0.2204 or -0.1? 0.2204 Are -12/133 and 0 unequal? True Is 4910 < 4907? False Is -13 bigger than -11? False Do 0.3211 and 1 have different values? True Which is greater: 6/553 or -1? 6/553 Is -7602/19 > -401? True Is 17467 smaller than 17468? True Is 12/95 greater than -1? True Is -1 at most as big as 14/171? True Is -54 at least as big as -53? False Do -45 and -31 have the same value? False Which is smaller: 55 or 63? 55 Are -37 and -1410/37 equal? False Which is bigger: 89/28 or 3? 89/28 Is 5 < 39/11? False Which is smaller: 38 or 41? 38 Is -10 less than -12? False Which is greater: 33 or 31? 33 Are -5 and 3.3 equal? False Are 0.06897 and 0 non-equal? True Do 0 and 11/708 have different values? True Is -1/19764 greater than or equal to -1? True Which is smaller: 111 or 108? 108 Is 1663 bigger than 8308/5? True Which is bigger: -84 or -590/7? -84 Which is smaller: 438 or 877/2? 438 Is 1 != -4/247? True Which is bigger: 0.1 or 274? 274 Is -1 not equal to 2/4621? True Which is greater: -8662 or -8664? -8662 Which is smaller: 4296 or 4295? 4295 Is 0.02 != -225? True Which is smaller: -31313 or -31312? -31313 Which is smaller: -58 or -61? -61 Do 33 and 25 have different values? True Does -30 = -318/11? False Is 95 less than 95? False Is 923 less than or equal to -2? False Which is smaller: 15/41 or 0? 0 Is -119/16 < -6? True Which is smaller: 307 or 308? 307 Is 4495 >= 4495? True Is -1 at least as big as 12/31? False Is 144/11 equal to 14? False Which is bigger: -1/3541 or -1? -1/3541 Which is smaller: 6 or 22? 6 Is -848 < -851? False Which is bigger: 530 or -14? 530 Is -94 < -94? False Is -1397 < -1397? False Is -43 bigger than -43? False Is -584 less than or equal to -586? False Which is bigger: -1/1102 or 1? 1 Which is smaller: -6/1073 or -1? -1 Which is smaller: -2/5 or -16151? -16151 Are -474 and -471 nonequal? True Is -2903/2 at least -1451? False Which is smaller: 340 or 3? 3 Does 2/13 = 8.5? False Is 1/5340 less than -1? False Are -36.4 and 3/7 nonequal? True Which is smaller: 0.034 or 3/2? 0.034 Does 3 = 373/138? False Is 1/548 < 0? False Is -331/4 smaller than -2/7? True Which is greater: -1866 or -1865? -1865 Which is smaller: -1/996 or 0? -1/996 Is -38 greater than or equal to -37? False Which is smaller: 204/7 or 29? 29 Which is greater: -246 or -248? -246 Which is bigger: -4/4251 or 1? 1 Which is smaller: 249 or 252? 249 Is 0 less than or equal to -4/281? False Which is smaller: -1 or -2/2445? -1 Are 0 and 4/1071 equal? False Is -10033 > -10033? False Is -1 > 7.57? False Which is bigger: 10392 or 10388? 10392 Which is smaller: 0 or -5/23? -5/23 Which is greater: 0 or -22/4689? 0 Which is bigger: -2/11303 or -1? -2/11303 Is 1 <= -2/1789? False Is 0.3 at most as big as 5.23? True Which is bigger: 410 or 412? 412 Which is greater: -183/5 or -36? -36 Are 1422 and 1419 nonequal? True Is -2259 not equal to -2259? False Is -3/1039 <= -1? False Is -2/124247 at most -1? False Which is smaller: -1 or -12/13? -1 Are 2.6 and -0.5 unequal? True Is 17 bigger than 632/37? False Is -1918 bigger than -1920? True Which is greater: 48288 or 48289? 48289 Is 123 bigger than 123? False Is 6484 at least as big as 6483? True Which is greater: -133 or 2? 2 Which is smaller: 1703/2 or 851? 851 Which is greater: 356 or 347? 356 Which is greater: -13 or -10? -10 Which is bigger: -0.041 or -3.89? -0.041 Which is smaller: -1 or -2/2443? -1 Is 13 <= 13? True Is -1 equal to -2/37493? False Which is bigger: -13 or -14? -13 Which is smaller: -360 or -359? -360 Which is smaller: -59 or -1672/29? -59 Do 243 and 234 have different values? True Which is smaller: -4/313 or 1? -4/313 Is -355 != -3920/11? True Which is smaller: -1 or 2/6461? -1 Which is smaller: 0 or 60? 0 Do 456/5 and -7 have the same value? False Which is greater: -1 or -2/729? -2/729 Does 86 = -14? False Which is smaller: -5101 or -5100? -5101 Which is smaller: -208 or -206? -208 Which is bigger: -11 or -14? -11 Which is smaller: 1934 or 1935? 1934 Which is bigger: -867 or -868? -867 Is -2 at least 1/9? False Which is bigger: -10/7 or -2/7? -2/7 Is 161 at most as big as 16? False Which is smaller: 11 or 8? 8 Is 1/12337 != -1? True Are 0 and 35/92 equal? False Is -43 <= 15? True Is 203 at most 187? False Is -1 != -10/47? True Is -122/13 greater than or equal to 1/4? False Is -6176 != -6180? True Which is smaller: 450 or 451? 450 Does 3 = 21.7? False Does 564 = -13? False Is 727 greater than 727? False Which is smaller: 419 or 416? 416 Is -8.478 < 0.1? True Are -38/139 and -1 equal? False Do -4/225 and 0 have different values? True Which is smaller: 147 or 11? 11 Which is smaller: -310 or -315? -315 Is 1/3 less than or equal to -181? False Is 73439 greater than 73439? False Which is bigger: -228 or -224? -224 Is -484/23 bigger than -20? False Which is smaller: 3 or 8? 3 Are 1/29 and -435 nonequal? True Which is smaller: 833.8 or 0.1? 0.1 Which is smaller: 516 or 515? 515 Which is smaller: 1 or 31/2349? 31/2349 Which is greater: 195 or 32? 195 Which is smaller: -4 or 48? -4 Which is bigger: 2 or 19? 19 Which is greater: -0.2 or 848? 848 Is 621 at least 623? False Is -371 at most -371? True Which is bigger: -1 or -4.92? -1 Which is smaller: 2/417 or -1? -1 Is 62 greater than or equal to -26/7? True Is 1690 equal to 1689? False Which is smaller: 4 or 180/41? 4 Is -140 <= -418/3? True Which is smaller: -3/269 or 0? -3/269 Which is greater: 1133 or 1126? 1133 Which is greater: -6/29 or 0? 0 Which is greater: -343 or -342? -342 Which is greater: 114/11 or 11? 11 Does 0 = -73/91? False Which is bigger: 23567 or -1/2? 23567 Is -26 < -24? True Which is smaller: -2/1643 or 0? -2/1643 Which is greater: 297/8 or -4? 297/8 Is 353 smaller than 356? True Is 5 <= 126.8? True Which is greater: -106.1 or 0? 0 Which is smaller: 1/526 or 1/51? 1/526 Which is smaller: 88 or 1152/13? 88 Is 16 at most as big as 182/11? True Which is bigger: 10 or 69/7? 10 Which is smaller: -14 or -104/7? -104/7 Which is smaller: -21 or -82? -82 Do -573 and -574 have different values? True Are -734/91 and -8 equal? False Is -3/10 equal to -33.8? False Which is bigger: -13255 or -13254? -13254 Which is bigger: -2/21 or -1184? -2/21 Is 4 bigger than -3? True Is 0 >= 13/56? False Which is smaller: 1 or 1/90? 1/90 Is -1/3016 >= -1? True Which is smaller: -62/507 or 0? -62/507 Which is smaller: 75/4 or 18? 18 Is 523 at most as big as -0.3? False Which is smaller: 0 or 16? 0 Which is smaller: 1956 or 1957? 1956 Which is smaller: 3 or 10/3? 3 Which is smaller: -1/7 or 32? -1/7 Are 0.2 and -356 nonequal? True Which is greater: -89/9 or -9? -9 Is -11 bigger than -12? True Which is smaller: 2/47 or -2/7? -2/7 Which is greater: 1 or -24/527? 1 Which is bigger: -0.1 or 1/9? 1/9 Is 536 at least as big as 538? False Which is smaller: 1/4629 or 1? 1/4629 Which is bigger: -1 or 7/628? 7/628 Which is bigger: 4 or 35/11? 4 Are -2234 and -2234 equal? True Is -13 less than or equal to 8? True Is 0.48 less than -1/13? False Is -6429 greater than or equal to -6429? True Which is smaller: 0 or 5/317? 0 Which is bigger: 3/1169 or 0? 3/1169 Is 0 at least as big as -4/85? True Is -2157 less than or equal to 0? True Which is bigger: -38/3405 or 0? 0 Which is greater: 1 or -2/14637? 1 Is 0.1 bigger than 4/247? True Is 194 less than or equal to 194? True Is -13 equal to -153? False Is -572.7 < 2/3? True Is 11 != 23? True Which is smaller: 744 or 743? 743 Are -103.5 and 0 unequal? True Which is smaller: -1 or 4/3327? -1 Is 290 > 214? True Is -1 > -38/23? True Are 44 and 47 equal? False Which is bigger: 9/2 or 1/58? 9/2 Which is smaller: 0 or 55/134? 0 Which is smaller: 1/2516 or 0.1? 1/2516 Is 321 smaller than 312? False Which is greater: 8/3055 or 1? 1 Which is smaller: 3 or 2/713? 2/713 Is 288 != 288? False Which is greater: 4 or 203/59? 4 Is 2728 < -1? False Is 4 equal to 19/4? False Is 2/2325 smaller than 0? False Does 11141 = 11142? False Is -2869 not equal to -2868? True Is -743 less than or equal to -745? False Do -20/61 and 1 have the same value? False Do -690/11 and -63 have differe
{ "pile_set_name": "DM Mathematics" }
uming y is positive. y**(-28/3) Simplify w*w**20*(w/(w*w/w**(-4/13)))/w assuming w is positive. w**(243/13) Simplify (f**(-1/4))**35*f/(f/f**(1/5)*f)*f/(f/((f/(f*f**7))/f)*f) assuming f is positive. f**(-371/20) Simplify (x**(-4/9)*(x*x/(((x/(x**(-2/11)/x))/x)/x))/x)/(x**0/x**(-2)) assuming x is positive. x**(-161/99) Simplify (((p**(-2/7)/p)/p)/p)**(2/45)*p**(-1)/(p/(p/(p*p**0*p))) assuming p is positive. p**(-991/315) Simplify (v/(v/v**(-1/18)))/((v**(-1/8)/v)/v) assuming v is positive. v**(149/72) Simplify ((w*w**(-1/15)/w)/(w/((w**(-5)/w*w)/w)))/(w**(-1/2)/(w**(2/17)*w)) assuming w is positive. w**(-2779/510) Simplify (((r/(r*r**(-20))*r)/r)/r)/r**(1/2) assuming r is positive. r**(37/2) Simplify ((g*g**(-6))**13)**(-8) assuming g is positive. g**520 Simplify k*k/(k**(-6)*k)*k**4*k**(2/7)/(k*k**(2/5)*k*k) assuming k is positive. k**(276/35) Simplify (((i**(-3)*i*i)/i)/i**0)/(i/(i*i**2)*i**(2/7)) assuming i is positive. i**(-2/7) Simplify (y*y/y**(-1/15))/y**(-10) assuming y is positive. y**(181/15) Simplify (a/a**(-3))/a**(-5/7) assuming a is positive. a**(33/7) Simplify (l**(-1/4)/l**(-1/2))**(-11) assuming l is positive. l**(-11/4) Simplify m**2*m/((m*m*m/(m**(-4)/m))/m) assuming m is positive. m**(-4) Simplify (i**(-1/3)/i**5)/(i**(-1/5)*i/(i**1/i*i*i*i*i)) assuming i is positive. i**(-32/15) Simplify (w/w**(2/27)*w**(-1/3))**16 assuming w is positive. w**(256/27) Simplify (w/(w*w**0))**(5/6)/(w/w**6*w**10/w) assuming w is positive. w**(-4) Simplify (n*n**(2/7))**7*(n**1)**(-39) assuming n is positive. n**(-30) Simplify (k**(2/3))**(3/22)*k**(-2/9)*k**(-2/7) assuming k is positive. k**(-289/693) Simplify (s/(s*s**(-5/3)))/s**(-8)*(s**(1/3)/s)**(12/13) assuming s is positive. s**(353/39) Simplify (c*c**(-3/11)*(c**(-4)/c)/c)**30 assuming c is positive. c**(-1740/11) Simplify h**14/(h**1/h) assuming h is positive. h**14 Simplify (x**(-1)*x/(x*x*x/(x/x**(1/4))*x*x*x))/((x/x**(2/3))/x**(2/9)) assuming x is positive. x**(-193/36) Simplify ((n**(-4)/n*n)**(-3/10))**32 assuming n is positive. n**(192/5) Simplify p**(9/5)/p*p**(-2/9) assuming p is positive. p**(26/45) Simplify m/(m*m**(-1/13)*m)*m**(-11) assuming m is positive. m**(-155/13) Simplify g*g*g*g/g**1*g**(-2)*g*g**0*g**(1/5)/g*g*g assuming g is positive. g**(16/5) Simplify (z*z*z**(4/11)*z*z)/z*z**22 assuming z is positive. z**(279/11) Simplify (r**(4/7)/(r*r**(-3/4)/r))/((r*r/(r*r**3))/r**(-4)) assuming r is positive. r**(-19/28) Simplify (i*i**(-1/6)*i)**(-15) assuming i is positive. i**(-55/2) Simplify (h**2)**(-9/5)/(h/(h**(-1)/h))**(-37) assuming h is positive. h**(537/5) Simplify o**(-18)/(o**(-9)/o) assuming o is positive. o**(-8) Simplify (o**(-31))**(-3) assuming o is positive. o**93 Simplify (h*h**(-2/7))**(-2/39)*h**6/(h**8*h) assuming h is positive. h**(-829/273) Simplify j**(-2/29)/j*j**(-6)*j assuming j is positive. j**(-176/29) Simplify (k**(-1/2)*k*k/((((k/(k*k*(k/k**(1/6))/k)*k*k)/k)/k)/k))/((k**(2/5)*k)/k)**(3/28) assuming k is positive. k**(691/210) Simplify r**3/((r*r**(2/3)*r)/r)*r**(-1/3)*r*r*r*r**(2/3)*r assuming r is positive. r**(17/3) Simplify k*k**(-13)*((k*(k/k**28*k)/k*k)/k)/k assuming k is positive. k**(-39) Simplify v**4/v**(-7) assuming v is positive. v**11 Simplify (z**(-1))**(5/17) assuming z is positive. z**(-5/17) Simplify (t/(t**(2/7)*t))**(-49)/(t/(t*t**(-6))*t**(1/7)) assuming t is positive. t**(55/7) Simplify (a**(-2)*a)**(5/21)*((a*a**2)/a)**15 assuming a is positive. a**(625/21) Simplify (m*m*m**6*m**(-2))/(m/m**(-2/19)*m/(m*m/(m/((m/(m**(-1/5)*m)*m)/m)))) assuming m is positive. m**(484/95) Simplify n**(-1/15)*((n**(2/71)*n)/n)/n assuming n is positive. n**(-1106/1065) Simplify ((z*z**(-3))/((z*z*z/(z**(3/4)*z*z)*z*z)/z))**(-34) assuming z is positive. z**(221/2) Simplify o**(-21)*((o*o**13)/o)/o assuming o is positive. o**(-9) Simplify ((w*w**(-21))/w*w*w*w)/(w**29*w) assuming w is positive. w**(-48) Simplify y**22*y/(y*y**(1/8))*y assuming y is positive. y**(183/8) Simplify (p/p**(-17))/p*p**(6/11)*p assuming p is positive. p**(204/11) Simplify (t**(-1)/t)**(-2/3)/(((t*t**8)/t)/(t**(3/2)*t)) assuming t is positive. t**(-25/6) Simplify (((q**(2/15)*q)/q)/q*q**(-16))**49 assuming q is positive. q**(-12397/15) Simplify (a/(a**(3/10)*a))**(-26) assuming a is positive. a**(39/5) Simplify (p**(2/23)/(p**(2/25)/p))**(-18/13) assuming p is positive. p**(-10422/7475) Simplify i**(-2/5)/i*(i/(i/(i/(i**8*i))))/i assuming i is positive. i**(-52/5) Simplify (a/((a*a**(-3)/a)/a))**(-14/11)*(a/(a**10/a))/a**(-3/2) assuming a is positive. a**(-283/22) Simplify k**(-19)*k*k/(k**(2/23)*k)*k assuming k is positive. k**(-393/23) Simplify (r**(1/2))**(-13)/(r**2/r*r)**(-26/3) assuming r is positive. r**(65/6) Simplify ((k**5*k)/(k*(k/((k/(k/(((k*k**(-5)/k*k)/k)/k)))/k)*k)/k))**(-1/32) assuming k is positive. k**(3/32) Simplify ((q*q**(1/8)/q)/(q/((q*q**6)/q)))/(q**7*q*q**(-2/9)) assuming q is positive. q**(-191/72) Simplify t**(5/2)/t**(-11) assuming t is positive. t**(27/2) Simplify (d*d**(-1/5))**(-33)*d**(3/5)/d**(5/7) assuming d is positive. d**(-928/35) Simplify (l*l**(7/4))/l**(-2)*(l**(-1))**(-29/4) assuming l is positive. l**12 Simplify ((a/(a*a/(a*a/(a*a/(a/((a*a**(1/4))/a*a))*a)*a))*a)**(-18))**(4/15) assuming a is positive. a**(6/5) Simplify (m**(-6)*m)/(m**(3/5)*m)*m/m**2*m**(-5) assuming m is positive. m**(-63/5) Simplify (f*f/f**0*f)/f**3*f/f**(-5)*f/(((f*f*f*f*f*f**(-1/2)*f*f*f)/f)/f) assuming f is positive. f**(3/2) Simplify (m/((m/(m*m**(2/9)))/m))**(-3/5) assuming m is positive. m**(-4/3) Simplify (r**(-2/9))**7/((r/((r*r/(r*r*r/(r**(-3/7)/r))*r)/r))/((r**(1/11)*r)/r)) assuming r is positive. r**(-3391/693) Simplify (g/g**(-25))/g**(2/11) assuming g is positive. g**(284/11) Simplify ((j/((j*j/((j*j**(3/8)*j)/j)*j)/j))/(j**0/j))/(((j/(j*(j/(j*j**(-2/5)))/j*j*j*j)*j*j)/j*j)/j**6) assuming j is positive. j**(311/40) Simplify ((m**(-1/12))**24)**(-30/7) assuming m is positive. m**(60/7) Simplify (n*n**(-13/3)/n)/n**24 assuming n is positive. n**(-85/3) Simplify (d/(d**(-4/3)/d))**(-1/18) assuming d is positive. d**(-5/27) Simplify (r/r**6*r)/(r/(r**(-7)/r))*((r*r*r*r**(-1/2))/r)/((r**(-8)/r)/r*r) assuming r is positive. r**(-5/2) Simplify j*j/j**(-23)*j/j**8 assuming j is positive. j**18 Simplify ((w/(w/(w/w**(-26))))/w)**(-38) assuming w is positive. w**(-988) Simplify (h**(-2)/h)/h*(h/(h**(-9)/h))/h assuming h is positive. h**6 Simplify u*u*u**0*u*u**(-2/11)*(u**(-2/3))**(-24) assuming u is positive. u**(207/11) Simplify a**(1/3)/a*a**(-1/6) assuming a is positive. a**(-5/6) Simplify ((n*n*n**2/n)**18)**23 assuming n is positive. n**1242 Simplify (k**(2/3)*k*k)**(6/17)/(k**1)**(2/19) assuming k is positive. k**(270/323) Simplify ((y/(y*y/(y/y**3)))**28)**10 assuming y is positive. y**(-840) Simplify z**(2/23)/z**(-4)*z**(-1)*z**1 assuming z is positive. z**(94/23) Simplify (s**(1/18)/s)/(s/(s/(s/(s*s*(s*s*(s*s**(-1/7))/s)/s)))) assuming s is positive. s**(115/126) Simplify q/q**(-2/43)*q/(q/(q**8*q)) assuming q is positive. q**(432/43) Simplify ((y/y**0)/y)**(-4)/(y**(-1/3)*y)**(-1/53) assuming y is positive. y**(2/159) Simplify ((s/(s/s**(-3)*s))/s**0)/((s*s**(-2/5))/(s*s*s*s**(-6)*s*s)) assuming s is positive. s**(-28/5) Simplify (x*x*x**(2/11))/((x*x*(x/(x/x**(-6/7)))/x*x)/x*x)*(x**4*x)/x**3 assuming x is positive. x**(234/77) Simplify ((x*x**(-16)*x)/(x**(1/5)*x))**(1/52) assuming x is positive. x**(-19/65) Simplify z**17/(z*z/z**32) assuming z is positive. z**47 Simplify ((a/(((a**(3/11)*a)/a*a)/a))/(a/a**1))**(-24) assuming a is positive. a**(-192/11) Simplify ((m**(-1/2)*m)/m*m)**(-45)*(m/(m**0*m))**(24/7) assuming m is positive. m**(-45/2) Simplify (((((k/k**(10/11)*k*k)/k)/k)/k)/(k**(-3/4)/k))**(-1/9) assuming k is positive. k**(-37/396) Simplify (q**(-9)/q)/q**13 assuming q is positive. q**(-23) Simplify (k/k**(1/3))**(3/20)*(k/k**(1/4))**(-22) assuming k is positive. k**(-82/5) Simplify p**(-1/6)/(p/(p*(p*p**(-1/2)/p)/p*p*p*p*p*p)) assuming p is positive. p**(10/3) Simplify ((o**(-2/35)/o)/o**(5/7))**(-2/77) assuming o is positive. o**(124/2695) Simplify (m**(4/7)*m**(2/9))/(m/(m**(-2)*m)*m*m/(m/m**(5/2))) assuming m is positive. m**(-593/126) Simplify n/((n*n**(-29)*n)/n)*n*n**(-3/11) assuming n is positive. n**(327/11) Simplify
{ "pile_set_name": "DM Mathematics" }
3 What is 152363 to the power of 1/2, to the nearest integer? 390 What is 8231 to the power of 1/3, to the nearest integer? 20 What is 15498 to the power of 1/3, to the nearest integer? 25 What is the cube root of 10371 to the nearest integer? 22 What is 90684 to the power of 1/4, to the nearest integer? 17 What is the cube root of 51968 to the nearest integer? 37 What is 132829 to the power of 1/6, to the nearest integer? 7 What is 9290 to the power of 1/3, to the nearest integer? 21 What is the cube root of 878 to the nearest integer? 10 What is 32536 to the power of 1/6, to the nearest integer? 6 What is the fifth root of 2279 to the nearest integer? 5 What is 995 to the power of 1/7, to the nearest integer? 3 What is 4085 to the power of 1/2, to the nearest integer? 64 What is the cube root of 22847 to the nearest integer? 28 What is 63457 to the power of 1/2, to the nearest integer? 252 What is the ninth root of 6497 to the nearest integer? 3 What is the square root of 11309 to the nearest integer? 106 What is 1768 to the power of 1/2, to the nearest integer? 42 What is 1716 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 1817 to the nearest integer? 3 What is the fifth root of 445 to the nearest integer? 3 What is 1612 to the power of 1/10, to the nearest integer? 2 What is the fourth root of 49866 to the nearest integer? 15 What is the third root of 3195 to the nearest integer? 15 What is the cube root of 25449 to the nearest integer? 29 What is 3837 to the power of 1/3, to the nearest integer? 16 What is the sixth root of 1412 to the nearest integer? 3 What is the eighth root of 43956 to the nearest integer? 4 What is 843 to the power of 1/7, to the nearest integer? 3 What is 55707 to the power of 1/2, to the nearest integer? 236 What is the fourth root of 138 to the nearest integer? 3 What is 57924 to the power of 1/2, to the nearest integer? 241 What is 5706 to the power of 1/9, to the nearest integer? 3 What is the cube root of 155 to the nearest integer? 5 What is the square root of 32963 to the nearest integer? 182 What is the third root of 38777 to the nearest integer? 34 What is the square root of 16787 to the nearest integer? 130 What is the square root of 2800 to the nearest integer? 53 What is the square root of 2410 to the nearest integer? 49 What is the cube root of 661 to the nearest integer? 9 What is the cube root of 31916 to the nearest integer? 32 What is 87473 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 715 to the nearest integer? 4 What is the seventh root of 15415 to the nearest integer? 4 What is the square root of 54800 to the nearest integer? 234 What is 16072 to the power of 1/5, to the nearest integer? 7 What is the seventh root of 12324 to the nearest integer? 4 What is 15588 to the power of 1/3, to the nearest integer? 25 What is 792 to the power of 1/2, to the nearest integer? 28 What is 611 to the power of 1/3, to the nearest integer? 8 What is the sixth root of 5 to the nearest integer? 1 What is the cube root of 1317 to the nearest integer? 11 What is the third root of 23293 to the nearest integer? 29 What is 583 to the power of 1/5, to the nearest integer? 4 What is 86296 to the power of 1/9, to the nearest integer? 4 What is 5321 to the power of 1/3, to the nearest integer? 17 What is the ninth root of 2855 to the nearest integer? 2 What is the seventh root of 2106 to the nearest integer? 3 What is the square root of 12451 to the nearest integer? 112 What is 2133 to the power of 1/3, to the nearest integer? 13 What is 317 to the power of 1/8, to the nearest integer? 2 What is 429 to the power of 1/2, to the nearest integer? 21 What is 941 to the power of 1/2, to the nearest integer? 31 What is the third root of 112562 to the nearest integer? 48 What is the ninth root of 3787 to the nearest integer? 2 What is the third root of 150208 to the nearest integer? 53 What is 11274 to the power of 1/2, to the nearest integer? 106 What is the cube root of 2633 to the nearest integer? 14 What is 869 to the power of 1/10, to the nearest integer? 2 What is 5913 to the power of 1/3, to the nearest integer? 18 What is the cube root of 1689 to the nearest integer? 12 What is the ninth root of 3558 to the nearest integer? 2 What is the seventh root of 22640 to the nearest integer? 4 What is 16779 to the power of 1/3, to the nearest integer? 26 What is 407 to the power of 1/9, to the nearest integer? 2 What is 295 to the power of 1/3, to the nearest integer? 7 What is the cube root of 13099 to the nearest integer? 24 What is the fourth root of 8834 to the nearest integer? 10 What is the third root of 109981 to the nearest integer? 48 What is 1682 to the power of 1/3, to the nearest integer? 12 What is the fifth root of 62554 to the nearest integer? 9 What is 1832 to the power of 1/2, to the nearest integer? 43 What is 165051 to the power of 1/2, to the nearest integer? 406 What is the third root of 914 to the nearest integer? 10 What is 2411 to the power of 1/5, to the nearest integer? 5 What is the eighth root of 1594 to the nearest integer? 3 What is 6993 to the power of 1/3, to the nearest integer? 19 What is the eighth root of 5677 to the nearest integer? 3 What is the third root of 2519 to the nearest integer? 14 What is the fifth root of 2613 to the nearest integer? 5 What is the square root of 123651 to the nearest integer? 352 What is the third root of 23175 to the nearest integer? 29 What is 11069 to the power of 1/2, to the nearest integer? 105 What is 60299 to the power of 1/3, to the nearest integer? 39 What is the fifth root of 5537 to the nearest integer? 6 What is the fifth root of 812 to the nearest integer? 4 What is 194932 to the power of 1/3, to the nearest integer? 58 What is 2478 to the power of 1/2, to the nearest integer? 50 What is the cube root of 5392 to the nearest integer? 18 What is the tenth root of 1445 to the nearest integer? 2 What is the eighth root of 3187 to the nearest integer? 3 What is the square root of 4652 to the nearest integer? 68 What is 8691 to the power of 1/4, to the nearest integer? 10 What is the sixth root of 2240 to the nearest integer? 4 What is the square root of 10614 to the nearest integer? 103 What is the fourth root of 63950 to the nearest integer? 16 What is the square root of 120 to the nearest integer? 11 What is 40069 to the power of 1/7, to the nearest integer? 5 What is 2691 to the power of 1/2, to the nearest integer? 52 What is 2126 to the power of 1/2, to the nearest integer? 46 What is the fifth root of 1133 to the nearest integer? 4 What is the third root of 2105 to the nearest integer? 13 What is 4190 to the power of 1/3, to the nearest integer? 16 What is 27291 to the power of 1/8, to the nearest integer? 4 What is the square root of 4472 to the nearest integer? 67 What is the square root of 5616 to the nearest integer? 75 What is 12846 to the power of 1/9, to the nearest integer? 3 What is the third root of 8621 to the nearest integer? 21 What is the square root of 2722 to the nearest integer? 52 What is 1631 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 95328 to the nearest integer? 3 What is the eighth root of 1345 to the nearest integer? 2 What is the third root of 37286 to the nearest integer? 33 What is the fourth root of 1219 to the nearest integer? 6 What is the third root of 63269 to the nearest integer? 40 What is the ninth root of 11848 to the nearest integer? 3 What is the eighth root of 399 to the nearest integer? 2 What is 1204 to the power of 1/2, to the nearest integer? 35 What is the third root of 834 to the nearest integer? 9 What is the square root of 3743 to the nearest integer? 61 What is the tenth root of 783 to the nearest integer? 2 What is 2636 to the power of 1/2, to the nearest integer? 51 What is 2734 to the power of 1/3, to the nearest integer? 14 What is the ninth root of 27581 to the nearest integer? 3 What is the square root of 4650 to the nearest integer? 68 What is 636 to the power of 1/2, to the nearest integer? 25 What is the square root of 978 to the nearest integer? 31 What is 16145 to the power of 1/3, to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
1 + sqrt(26)/sqrt(2) + -5 + -5. -9 + sqrt(13) Simplify (sqrt(45)/(5*sqrt(9)))**2 - (sqrt(5) + (4*sqrt(605))**2). -48399/5 - sqrt(5) Simplify (sqrt(21)/sqrt(12) - (sqrt(252) + (sqrt(252) + 1 - sqrt(252) - sqrt(252)) + sqrt(252) + sqrt(252)))**2. 23*sqrt(7) + 3707/4 Simplify sqrt(152)/(-1*sqrt(8)) + -5. -5 - sqrt(19) Simplify (-2*(sqrt(19) - sqrt(95)/sqrt(5)) - sqrt(19)) + sqrt(76) + 2. 2 + sqrt(19) Simplify sqrt(26)/(sqrt(144)/sqrt(8) - sqrt(2)). sqrt(13)/2 Simplify (((-3*sqrt(18))/sqrt(3))/(-2*sqrt(432)))**2. 1/32 Simplify -2*(2 + sqrt(539)). -14*sqrt(11) - 4 Simplify -1 + (sqrt(425) + 2 - sqrt(425))**2 + (((sqrt(153) + 3*sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153))/sqrt(9) + sqrt(17))**2. 1091 Simplify ((sqrt(3) - sqrt(120)/sqrt(10)) + sqrt(108)*-2)**2. 507 Simplify (sqrt(14) + 2*sqrt(14)*-6 + sqrt(14))/(sqrt(20)/(sqrt(10)*-2 + sqrt(10))). 10*sqrt(7) Simplify 1*(1 + (sqrt(200) - (sqrt(200) + 2 - sqrt(200))))**2. -20*sqrt(2) + 201 Simplify (3*sqrt(44))**2*-2. -792 Simplify (sqrt(432)*-2*4 - (sqrt(192)/sqrt(4) + 0))**2. 30000 Simplify ((-4*(sqrt(576) + sqrt(36)) - sqrt(36))/sqrt(12))**2 - (sqrt(27)*2)/sqrt(9)*2. -4*sqrt(3) + 1323 Simplify ((1 + sqrt(567) + -2)*-2)**2. -72*sqrt(7) + 2272 Simplify 1 + ((sqrt(45))**2 + -2 - sqrt(5) - sqrt(5))*-4 + 2. -169 + 8*sqrt(5) Simplify ((sqrt(768) + (sqrt(768) + (sqrt(768) + (sqrt(768) - sqrt(768)*-2) - sqrt(768)) - sqrt(768)))/sqrt(6))**2. 2048 Simplify (-1 + (sqrt(114)/(sqrt(4)/sqrt(2)))/sqrt(3))*-4. -4*sqrt(19) + 4 Simplify ((sqrt(6)/sqrt(3) + -1)*1 + -5)**2. -12*sqrt(2) + 38 Simplify (5 + -1*sqrt(242) - sqrt(242))*5. -110*sqrt(2) + 25 Simplify (0 + sqrt(17))**2 + 0 - sqrt(170)/sqrt(360). -sqrt(17)/6 + 17 Simplify ((0 + (sqrt(95)*1)/sqrt(5))*4)**2. 304 Simplify (sqrt(200)*-3)/(sqrt(70)/sqrt(63)). -18*sqrt(5) Simplify -1 + sqrt(21)/(sqrt(3) - (-1*sqrt(108) + sqrt(3))). -1 + sqrt(7)/6 Simplify ((-1 + sqrt(19))*2 - (-1 + sqrt(76)))**2. 1 Simplify ((sqrt(252) - (1 + sqrt(252))) + 4)**2*3. 27 Simplify (1 + sqrt(7) + 0)**2 - (4 + sqrt(63))**2. -71 - 22*sqrt(7) Simplify (sqrt(4032) + 4 + -1 + sqrt(4032))**2*-5. -80685 - 1440*sqrt(7) Simplify (-3*sqrt(432))**2*1. 3888 Simplify -5 + sqrt(13)*2 + 2*(-1 + sqrt(13)). -7 + 4*sqrt(13) Simplify (-3 + sqrt(3) - sqrt(3))*6*3. -54 Simplify sqrt(7) + sqrt(42)/(5*sqrt(6)) + 2. 2 + 6*sqrt(7)/5 Simplify 4 + sqrt(1100)*-3. -30*sqrt(11) + 4 Simplify (2*sqrt(2299) + sqrt(57)/(sqrt(33)/sqrt(11)))**2. 10051 Simplify 5*-2*sqrt(405) + sqrt(405). -81*sqrt(5) Simplify (-5*sqrt(12)*3)/sqrt(4) + 1. -15*sqrt(3) + 1 Simplify -2 + (sqrt(78) + sqrt(78)*-3)/sqrt(6). -2*sqrt(13) - 2 Simplify (sqrt(2736) + -2 + -1)**2. -72*sqrt(19) + 2745 Simplify 1 + (sqrt(28) + (0 + sqrt(2800) - sqrt(2800)))**2 + 1. 30 Simplify ((0 + -1*sqrt(17))*-2)**2. 68 Simplify sqrt(13) + 4*-2*sqrt(13) - (sqrt(13) - sqrt(117)*2). -2*sqrt(13) Simplify ((-2*sqrt(3024))/(sqrt(112)*-1 - sqrt(112)))**2. 27 Simplify sqrt(52)/(sqrt(16)/sqrt(4)) + sqrt(468) + 0. 7*sqrt(13) Simplify (sqrt(363) - -5*sqrt(363)*-1)**2. 5808 Simplify (-6*(-2 + sqrt(98)))**2. -1008*sqrt(2) + 3672 Simplify (-5 + 1 + -1*(sqrt(11) + sqrt(11)*-2 - sqrt(11)))**2. -16*sqrt(11) + 60 Simplify -2 + sqrt(171) + 4. 2 + 3*sqrt(19) Simplify -2*sqrt(1539)*-4. 72*sqrt(19) Simplify (3 + sqrt(272))**2*1. 24*sqrt(17) + 281 Simplify (sqrt(342)/sqrt(6) + sqrt(57))/sqrt(3) + -5*(sqrt(114)/sqrt(6))**2. -95 + 2*sqrt(19) Simplify 0 + (1*sqrt(320))**2 + 0. 320 Simplify sqrt(10)/(2*sqrt(180)) + 3. sqrt(2)/12 + 3 Simplify -1*sqrt(78)/sqrt(6) - (-5 + sqrt(13) + (-1*sqrt(13))**2). -8 - 2*sqrt(13) Simplify 2*(sqrt(125)*2 + sqrt(125))*-1. -30*sqrt(5) Simplify -2 + sqrt(125) + (-1*sqrt(125) - sqrt(125)). -5*sqrt(5) - 2 Simplify ((sqrt(2057) + 1 + sqrt(2057))*4 + 3 + 0)**2. 1232*sqrt(17) + 131697 Simplify (-2*sqrt(153))/sqrt(9) + -2. -2*sqrt(17) - 2 Simplify -6*((sqrt(330)*1)/sqrt(10))/sqrt(11). -6*sqrt(3) Simplify ((sqrt(7) - -3*sqrt(7)*-1)*2)**2. 112 Simplify (3*sqrt(931))**2 + 2*sqrt(19)*1 + -3. 2*sqrt(19) + 8376 Simplify 2*(sqrt(2736) + (sqrt(2736) + 0)**2)*-1. -5472 - 24*sqrt(19) Simplify (sqrt(288)*-1 + -4)**2 + -2. 96*sqrt(2) + 302 Simplify sqrt(5) + 0 + 4 + (sqrt(5) - (sqrt(5) - sqrt(60)/sqrt(3))). 4 + 3*sqrt(5) Simplify (-4*sqrt(304) + sqrt(171)/(sqrt(9)*1))**2. 4275 Simplify (sqrt(17) - sqrt(68))*3 + -4*(sqrt(17) + (sqrt(17)*-2)**2) + 4. -268 - 7*sqrt(17) Simplify -3 + (sqrt(5) - (-2 + sqrt(45)) - (sqrt(125)*2 - sqrt(125))). -7*sqrt(5) - 1 Simplify 3*sqrt(272) + 0 + (-1*sqrt(272))**2 + sqrt(187)/sqrt(44). 25*sqrt(17)/2 + 272 Simplify -2 + (1*sqrt(405) - sqrt(405)). -2 Simplify (sqrt(99) + -5*(2*sqrt(99) - sqrt(99)) + sqrt(99))/sqrt(9). -3*sqrt(11) Simplify sqrt(88)/sqrt(8) + 0 - (1*(sqrt(11) + sqrt(99)/sqrt(9)) - sqrt(11)). 0 Simplify sqrt(252) + 3 + sqrt(252) + (-1 + sqrt(567) - sqrt(567))**2. 4 + 12*sqrt(7) Simplify (2*sqrt(132)*-2 + sqrt(132) + sqrt(132))/((-2*sqrt(72))/sqrt(6)). sqrt(11) Simplify -2 + sqrt(396) + 0 + 3 + sqrt(396) + 1 + sqrt(396). 2 + 18*sqrt(11) Simplify 6*(sqrt(2299) - (sqrt(2299) + sqrt(2299)*2 + sqrt(2299) - sqrt(2299))**2*2). -248292 + 66*sqrt(19) Simplify ((sqrt(250)/sqrt(5))**2 - sqrt(2) - (sqrt(2) - (0 + sqrt(50))**2))*-4. -400 + 8*sqrt(2) Simplify (sqrt(85) - (sqrt(85)*-1 + sqrt(85) + sqrt(85))*-1)/((2*sqrt(5) - sqrt(5))*1). 2*sqrt(17) Simplify (-5 + (sqrt(243) - (1 + sqrt(243)))**2)*1. -4 Simplify sqrt(72) + 2 + (sqrt(72) + 1 + sqrt(72))**2 + sqrt(72). 36*sqrt(2) + 291 Simplify 0 + sqrt(833) + 0 - (1 + sqrt(833) + 2 + sqrt(833))**2. -3341 - 77*sqrt(17) Simplify (sqrt(72) - (sqrt(72)*1 + 4)) + sqrt(72) - (sqrt(288) + (sqrt(288) - (sqrt(288) + 1 + -2)**2)). -42*sqrt(2) + 285 Simplify sqrt(152)/((sqrt(16) + sqrt(64)/sqrt(4))/sqrt(2)). sqrt(19)/2 Simplify (6*(-2 + sqrt(48)) + -5)**2. -816*sqrt(3) + 2017 Simplify 2 + (sqrt(7) + 0)**2 + (sqrt(343) + 2)**2 + sqrt(7). 29*sqrt(7) + 356 Simplify (sqrt(847) + 2)**2*3. 132*sqrt(7) + 2553 Simplify (sqrt(56)*5)/(sqrt(48)/sqrt(6)). 5*sqrt(7) Simplify sqrt(7) - (-1*sqrt(35) + sqrt(35) + sqrt(35))/sqrt(5) - sqrt(77)/(5*sqrt(11)). -sqrt(7)/5 Simplify sqrt(240)/(sqrt(12) + sqrt(108) + sqrt(12)). 2*sqrt(5)/5 Simplify 0 + sqrt(54)/sqrt(3). 3*sqrt(2) Simplify (sqrt(45) - sqrt(405))/sqrt(9) + (-3 + (sqrt(15)/sqrt(3) - sqrt(5)))**2 + -1. -2*sqrt(5) + 8 Simplify sqrt(567) + -6*(sqrt(567) + 4). -45*sqrt(7) - 24 Simplify sqrt(126)/sqrt(2) + 3. 3 + 3*sqrt(7) Simplify sqrt(1331) + (sqrt(1331) + 0 + 2)**2. 55*sqrt(11) + 1335 Simplify -2*sqrt(30)/(sqrt(360) + (1*sqrt(360) - sqrt(360))). -sqrt(3)/3 Simplify ((-1*(4*sqrt(91) + sqrt(91)) + sqrt(91))/sqrt(7)*-3)**2. 1872 Simplify 1*(sqrt(45)/(sqrt(18)/(2*sqrt(2))) + 3). 3 + 2*sqrt(5) Simplify (1*sqrt(30)/sqrt(6)*-6)**2*-4. -720 Simplify sqrt(8)/(-6*(sqrt(4) + sqrt(4) + sqrt(64))). -sqrt(2)/36 Simplify (sqrt(6)/(sqrt(12)/sqrt(6)))**2 - (-2 + (sqrt(18)/sqrt(6) - sqrt(3))). 5 Simplify 4 + (3*-1*sqrt(325) + 5)**2. -150*sqrt(13) + 2954 Simplify (sqrt(117)/((sqrt(1296) - sqrt(1296)*-1 - sqrt(1296)) + sqrt(1296)))**2. 13/576 Simplify sqrt(21)/(3*sqrt(28)/sqrt(4)). sqrt(3)/3 Simplify -5*sqrt(76)/sqrt(4) - ((sqrt(95)*2)/sqrt(5) - sqrt(19))**2. -5*sqrt(19) - 19 Simplify ((sqrt(68)/sqrt(4))**2 + -1 + (sqrt(1088) - ((1*sqrt(1088))**2 - sqrt(1088))))*1. -1072 + 16*sqrt(17) Simplify sqrt(136)/(sqrt(128)*-1). -sqrt(17)/4 Simplify 0 + (sqrt(3) + 1*-3*sqrt(3))**2. 12 Simplify sqrt(864)/sqrt(3). 12*sqrt(2) Simplify sqrt(10)/(-3*sqrt(2))*2 + 5. -2*sqrt(5)/3 + 5 Simplify (-2 + (-4 + 1*sqrt(243) - sqrt(243)))**2. 36 Simplify -1 + 1*sqrt(2) + (-4*sqrt(4)/sqrt(2))**2. sqrt(2) + 31 Simplify -2*(sqrt(448) - 3*sqrt(448))**2. -3584 Simplify (sqrt(175)/sqrt(5))/sqrt(7)*2. 2*sqrt(5) Simplify (4*sqrt(648)*1*4)**2. 165888 Simplify (-4 + 4*(sqrt(396) + 1)*-1)**2. 384*sqrt(11) + 6400 Simplify ((sqrt(513)/(-2*sqrt(9) - sqrt(9)))/(sqrt(12)/sqrt(36)))**2. 19 Simplify sqrt(17) + 0 + 3 + sqrt(153)*-5. -14*sqrt(17) + 3 Simplify -2 + (sqrt(189)/sqrt(3)*-3 - sqrt(63))/(sqrt(324)*1 - sqrt(9)). -4*sqrt(7)/5 - 2 Simplify sqrt(22)/((2*sqrt(16))/sqrt(8)). sqrt(11)/2 Simplify (-6*(sqrt(425) + -2*sqrt(425) + -5))**2*4. 7200*sqrt(17) + 64800 Simplify sqrt(170)/sqrt(90) + sqrt(17) + -5*(sqrt(272))**2. -1360 + 4*sqrt(17)/3 Simplify 1*(sqrt(80) + -2) + (sqrt(80)*-1 - (-1*sqrt(180))**2). -182 Simp
{ "pile_set_name": "DM Mathematics" }
+ 2 - 4)*(1 + 2*b + b - 5*b) in the form g + t*b and give g. -144 Rearrange -22525 - 2847*m**2 + 22525 + (2 - 2*m - 2)*(2*m + 2*m - 5*m) to w + n*m**2 + f*m and give n. -2845 Express -m**3 - m**2 + m**2 + (0*m - 2*m + 5*m)*(-2*m**2 + m**2 + 3*m**2) + (31 - 8 + 1)*(-25*m**3 - 60*m**3 - 4*m**3) as t*m**3 + p*m**2 + s + c*m and give t. -2131 Express (95*b**2 + 295*b**2 + 218*b**2)*(-5*b + 4*b - b) in the form v*b**3 + x + u*b**2 + y*b and give v. -1216 Express (-f + 0*f - f)*(-f + f - 5*f) + 2 - 1500*f**2 + 1368*f**2 - 2 as l*f + k*f**2 + j and give k. -122 Rearrange 56498*r - 56496*r - 16*r**3 + 51*r**3 - 2 + r**2 - 26*r**3 + 8*r**4 to the form m*r + v*r**4 + s + c*r**2 + b*r**3 and give b. 9 Rearrange -2*k**2 - 3*k**2 + 108*k - 106*k - k**2 + 5 - 3*k**2 to d + v*k + x*k**2 and give x. -9 Express -67*y - 49 - 2*y**2 + 23 - 3*y**4 + 10 + 14 - 2*y**3 + 2*y**4 in the form w + n*y + v*y**2 + p*y**4 + h*y**3 and give v. -2 Rearrange ((4 - 2 + 1)*(-4*m - m + 3*m) - 3*m - m + 0*m)*(404 - m - 277 - 213) + (2*m + 2*m - 2*m)*(2*m + 0 + 0) to the form b + f*m**2 + c*m and give c. 860 Express a + 3*a**2 - 228832*a**4 - 6*a + 228902*a**4 as k*a + u*a**4 + p*a**2 + d*a**3 + i and give p. 3 Rearrange -95*t**4 - 5114 + 2*t**3 + 93*t**4 + 2556 + 2556 + 3*t**2 + 547*t to the form b*t**3 + v*t**4 + j*t**2 + m*t + x and give x. -2 Express 0 - u**2 - 3174*u**3 + 456*u + 3153*u**3 + 1 - 455*u as g*u**3 + d*u + n*u**2 + t and give t. 1 Express (3 + 0 + 0 + (-3 - 1 - 1)*(-2 + 3 + 1) - 2 + 3 + 4)*(-3*g**3 - 13*g**3 - 41*g**3) in the form j*g + f + s*g**2 + x*g**3 and give x. 114 Rearrange 7*s**4 - 11*s**3 + 4*s**4 + 5*s**3 + 9*s**3 - 5 - 2*s + 4*s**3 to the form q*s**2 + z*s + a + j*s**3 + w*s**4 and give q. 0 Rearrange 4*o**3 - 5 - 6 + 10 + (-3*o**2 + 2*o**2 - o**2)*(475*o + 4762 - 4762) to n*o**3 + q*o**2 + k + d*o and give n. -946 Rearrange 5401*d**2 + 2444*d**2 + 10945*d**2 - 1222*d**2 to the form j*d + i + w*d**2 and give j. 0 Rearrange (l**2 - 11*l**2 + 3*l**2)*(208*l + 676*l - 213*l) to the form v + o*l + q*l**2 + h*l**3 and give h. -4697 Express -703 + a + 3*a**2 - 37*a**3 + 355 + 351 in the form c + q*a**2 + w*a**3 + b*a and give q. 3 Rearrange -37*j**2 - 16*j**2 - 17 - j**3 + 66*j**2 to the form q*j + w + p*j**2 + r*j**3 and give r. -1 Express 6637*v**2 - 12*v - 4*v**3 + 15 + 12*v - 6649*v**2 in the form u*v**2 + p + x*v + o*v**3 and give p. 15 Express -18923*u**2 + 18924*u**2 - 4220*u**4 + 3 - 2 in the form s*u**2 + i*u + b + k*u**4 + h*u**3 and give s. 1 Express 3*n**2 - 4*n**2 + 15*n**3 + 2*n - 2*n**2 + 11*n**2 in the form d*n + f + m*n**3 + g*n**2 and give g. 8 Express 82 - 3 - 17 - 49*i**2 + 13 - 2 as t + j*i + g*i**2 and give g. -49 Rearrange 56*b - 12*b**2 + 10*b**2 + 127*b + 2 + b**2 to the form q + s*b + k*b**2 and give q. 2 Express (-41*n**3 - 14*n + 7*n + 9*n)*(4*n - 4*n - 9*n)*(4 - 38 - 42) as y*n + b*n**3 + g*n**4 + q*n**2 + a and give q. 1368 Rearrange 12 + 9*q - 12 + (33*q - 13*q + 3*q)*(-6 + 1 + 1) to the form m*q + x and give m. -83 Rearrange (196*n + 113*n - 108*n)*(6*n - 6*n + n - 5) to w + p*n + o*n**2 and give o. 201 Rearrange (-1 + 3 + 0)*(-15 + 15 + 2*v)*(0 + 4 - 2)*(-11039 + 5503 + 5*v + 5671)*(3 + 1 - 3) to k*v**2 + x + f*v and give k. 40 Express 8919*k + 1365*k - 5233*k in the form j + f*k and give f. 5051 Rearrange (-g**3 - 3*g**3 + 2*g**3)*(-25792*g - 4097*g - 27967*g + 11121*g + 3300*g) to the form a*g**4 + p + z*g + h*g**2 + j*g**3 and give a. 86870 Rearrange -16*o**2 - 47*o**2 - 91*o**2 - 3 - 170*o**2 - 44*o**2 to w*o + d + p*o**2 and give p. -368 Express 7525*l**3 - 7528*l**3 + 445*l**2 + 5 - 4 as g + z*l + d*l**3 + k*l**2 and give d. -3 Rearrange 1 - 424*v - 22674*v**2 + 6*v**3 - 5*v**3 + 22673*v**2 to h*v + t*v**3 + b*v**2 + d and give b. -1 Rearrange 255*x**2 - 292*x**2 + 15 - 19 + 2*x**3 to n*x + g*x**3 + j + f*x**2 and give f. -37 Express 74 - 180 - 333*p + 31 + 75 as x*p + j and give x. -333 Express 5*z**2 + 2*z - 716 - 696 + 1332 as h + t*z + y*z**2 and give h. -80 Express 110*t**3 - 14*t - t**2 + 10*t - 2 - 119*t**3 + 3*t**2 + 15*t in the form f*t**2 + g*t + s + n*t**3 and give g. 11 Rearrange (3*v - 2*v - 1 + 0)*(-7863*v - 30266*v + 1214*v) to w*v**2 + i*v + o and give i. 36915 Express 384*t**3 + 474*t**3 + 243*t**3 + 31*t**3 + (6*t**2 - 2*t**2 - t**2)*(2 + 5*t - 2) as x*t**3 + r*t + z + v*t**2 and give x. 1147 Express (-10*x + 26*x + 113*x)*(52*x**2 - 30 + 65 - 35) in the form c + g*x**2 + z*x**3 + o*x and give z. 6708 Rearrange -25*r + 23*r - 17*r + 40*r - 19*r - 173 to the form z*r + b and give b. -173 Rearrange -8*u**2 + u**4 + 80*u - 140*u**3 - 151*u + 75*u + 139*u**3 to the form y*u + f + g*u**4 + x*u**3 + l*u**2 and give g. 1 Rearrange (1775*v - 2146*v - 3773*v)*(0*v**3 - v**3 + v**2 - v**3) to l*v**3 + u + k*v**2 + p*v + r*v**4 and give l. -4144 Rearrange (7*r**3 - r**4 - 24966 + 24966)*(16 - 5 + 1) to the form j*r**3 + t*r**2 + s*r**4 + k + w*r and give s. -12 Express (1 - 21 + 0)*(-s - 1 + 1 + (3 - 3 + 1)*(15*s + 7*s - 38*s)) + 0*s + s - 3*s in the form h*s + a and give h. 338 Express (1479 + 3970 + 5366 - 2254 + 3621)*(-21*q - 3 + 27*q + 5) in the form v*q + p and give p. 24364 Rearrange 1 - 3*b - 1 + (-1 - 1 + 4)*(-3 + 3 - b) + (b - 4*b + b)*(1 - 3 + 5) + (-2 - 3 + 4)*(b + 6*b - b) to the form t*b + q and give t. -17 Rearrange -5*u**4 + 16*u**4 + 6962*u**2 - 6869*u**2 - 10*u**4 + (u + u + 0*u)*(u**3 - 4*u + 4*u) to the form v*u**3 + x + b*u**2 + w*u**4 + g*u and give b. 93 Rearrange ((-1 + 2 + 0)*(-2 + 0 + 1) + 0 + 0 - 4 - 3 + 0 + 1)*(76*w - 2612*w - 379*w) to the form g*w + k and give g. 20405 Rearrange (-95*k - 16 + 26*k + 70*k - 369*k**2)*(-2*k**2 + 0*k**2 + k**2) to f*k**2 + h*k**4 + o*k + y*k**3 + m and give y. -1 Rearrange 388*t**3 - 42*t - 194*t**3 + t**2 - 199*t**3 + t**2 - 1 to the form u*t + f + k*t**3 + v*t**2 and give v. 2 Rearrange (-50 + 3*w**2 - 46 + 95 + 78*w)*(-5*w + 3*w + w) to z*w**2 + n + g*w + a*w**3 and give z. -78 Rearrange -2580*k**2 + 41*k**3 - 4*k + 79*k**3 - 2557*k**2 + 5128*k**2 to r*k**3 + a*k**2 + c + z*k and give r. 120 Express (-2*x**2 + 8*x**2 + x**2)*(0 + 5 - 2)*(-6*x + 23*x + 13*x) as s*x**3 + n*x + u + v*x**2 and give s. 630 Rearrange -187*p**2 + 56*p**2 + 62*p**2 + 6*p + 62*p**2 + 3*p to the form n*p**2 + s*p + v and give s. 9 Express -4*u + 3*u - u + (-27*u + 3*u - 5*u)*(-2 + 3 + 1) + 3*u - 5*u - 2*u in the form g + w*u and give g. 0 Express -6547*t - 2679*t - 539*t - 2543*t + 558*t in the form m*t + w and give w. 0 Express (2*p**2 + 1 - 1 + (3 - 7 + 2)*(3*p**2 + 2*p**2 - 4*p**2) - 2*p**2 + 2*p**2 - p**2)*(13 - 9 + 58) in the form m*p**2 + r*p + x and give m. -62 Rearrange (4*l - 5*l + 3*l)*(0 + 5471*l**2 + 4468*l**2 + 132*l**2 + 0 - 1329*l**2) to k*l**3 + r*l + p + d*l**2 and give k. 17484 Rearrange 13*a**2 - 6*a**4 + 36*a**4 - 6*a**2 + a**3 - 22*a + 22*a + 2 to the form o*a**3 + r*a + b*a**4 + d + m*a**2 and give r. 0 Rearrange -496 - 11*a + 268 + 275 to x + j*a and give x. 47 Rearrange 8299*m**3 - 8295*m**3 - 1317*m**4 - m - 59*m**2 + 1319*m**4 - 2 to g*m**2 + r*m**4 + z*m**3 + x*m + f and give z. 4 Rearrange (-5*b + 2*b + 4*b)*(31 - 105 + 34 - 102) + (0 - 4 + 3)*(-5608 - 43*b + 5608) to the form w + m*b and give w. 0 Express (-17 - 483 + 109)*(j**4 - 1 + 1) + (-2 - j**2 + 2)*(3*j - 3*j - 2*j**2) in the form o*j + z + g*j**2 + t*j**3 + b*j**4 and give b. -389 Rearrange 106*q - 1016*q - 2134*q to y*q + b and give y. -3044 Express (-13692 + 2*z + 13691 - 338*z**3 - 421*z**3)*(-1 - z - z - z) as a*z**4 + b + j*z + k*z**3 + i*z**2 and give b. 1 Rearrange -91 + 93 + 83*x + 100*x - 153*x - 8*x**2 to the form n*x + g*x**2 + a and give g. -8 Rearrange -4*h**4 - 66*h + 52*h + 13*h - 3 + 12*h**4 + 5*h**4 + 2*h**3 to the form r*h**2 + i*h**3 + j*h**4 + n + d*h and give d. -1 Rearrange (-9 - 13 - 3)*(93*p + 120 - 120) to the form t*p + k and give t. -2325 Rearrange -2*u - 5 + 2*u**4 + 27*u**3 + 5 - 16*u**2 + 18*u**2 + 0*u**4 to a*u**2 + v*u + c*u**3 + t*u**4 + r and give c. 27 Express 1352*a**3 - 10*a**4 + 1 - 2*a + 2*a**2 - 4042*a**3 + 1362*a**3 + 1508*a**3 as l*a**4 + j*a + k*a**3 + o*a**2 + s and give o. 2 Rearrange -108202*w - 107369*w + 207308*w to t*w + b and give t. -8263 Rearrange 0*r + 543 - 2*r**2 - 327 - 4*r - 324 to t + o*r**2 + n*r and give n. -4 Express 1 + 40
{ "pile_set_name": "DM Mathematics" }
5)**2/5 Determine x so that -3*x**4 - 249843*x**3 + 2498634*x**2 - 7995840*x + 7995936 = 0. -83291, 2, 4 Find q, given that -3*q**4 - 40578*q**3 - 7836660*q**2 - 507735150*q - 10983077625 = 0. -13331, -65 Factor 2*w**2/3 + 771734*w/3 + 3858620/3. 2*(w + 5)*(w + 385862)/3 Factor j**2/2 + 137134*j - 274269/2. (j - 1)*(j + 274269)/2 Solve -2*f**5/9 + 1294*f**4/9 + 8122*f**3/9 - 187286*f**2/9 + 345040*f/9 - 167168/9 = 0 for f. -16, 1, 8, 653 Solve 4*c**2/7 - 18827892*c/7 - 18827896/7 = 0. -1, 4706974 Let -2*i**2/3 + 7884034*i/3 + 2628012 = 0. Calculate i. -1, 3942018 Solve 2*q**2/5 - 24142*q/5 - 3570492 = 0. -699, 12770 Factor 2*w**2/7 + 4884*w/7 + 129280. 2*(w + 202)*(w + 2240)/7 Find s such that -5*s**4 - 3115285230*s**3 - 485250100097522405*s**2 + 970500209540900520*s - 485250106328092880 = 0. -311528524, 1 Factor -4*f**2 - 398296*f + 3983360. -4*(f - 10)*(f + 99584) Find x, given that x**2 - 5413612*x + 7326798721636 = 0. 2706806 Determine p, given that 6*p**5/5 - 5521*p**4/5 + 1302736*p**3/5 - 14825081*p**2/5 - 50142484*p/5 - 6801828 = 0. -11/6, -1, 15, 454 Find y such that -2*y**4/9 + 2*y**3/3 + 30016*y**2/9 - 461480*y/3 + 2648800/9 = 0. -140, 2, 55, 86 Suppose -20*y**5 - 140008*y**4 + 365380*y**3 + 8574152*y**2 + 17368240*y + 5602400 = 0. What is y? -7003, -5, -2, -2/5, 10 Determine h, given that -3*h**2 + 1393143*h + 11145336 = 0. -8, 464389 Solve -2*f**2 + 89139040*f - 993221056515200 = 0 for f. 22284760 Factor -2*h**3/3 - 2005483*h**2/6 - 41895229254*h + 52369558830. -(h + 250686)**2*(4*h - 5)/6 Suppose 3*o**2 - 140007*o + 83606160 = 0. Calculate o. 605, 46064 Solve 3*h**2 - 31183893*h + 31183890 = 0 for h. 1, 10394630 Factor 4*l**3 - 2795172*l**2 - 8385568*l + 11180736. 4*(l - 698796)*(l - 1)*(l + 4) Find l such that -l**4/5 + 41472*l**3/5 - 32471616*l**2 + 33467100160*l = 0. 0, 2120, 37232 Let 2*d**5/23 - 112416*d**4/23 + 1579894442*d**3/23 - 6317891628*d**2/23 + 1578770360*d/23 + 9476668848/23 = 0. Calculate d. -1, 2, 3, 28102 Let -4*c**2 + 388401808*c - 9428497778604304 = 0. Calculate c. 48550226 Suppose -6445972899247*v**3/5 - 1841787149966*v**2/5 - 23030916*v/5 - 72/5 = 0. Calculate v. -2/7, -6/959611 What is n in 2*n**2 + 12812*n - 37996144 = 0? -8612, 2206 Suppose -3*r**2/7 + 20271*r/7 + 12198084/7 = 0. What is r? -556, 7313 Factor -a**3 + 1771634*a**2 + 8858191*a + 7086556. -(a - 1771639)*(a + 1)*(a + 4) Suppose -20*k**4 - 494464*k**3 - 3056479752*k**2 - 3667162592*k - 611177284 = 0. What is k? -12361, -1, -1/5 Factor -u**2/6 - 102829*u/6 - 222768. -(u + 13)*(u + 102816)/6 Find p such that 2*p**5/13 + 2422*p**4/13 - 64438*p**3/13 - 140966*p**2/13 + 64436*p/13 + 138544/13 = 0. -1237, -2, -1, 1, 28 Factor -4*d**2 - 7816*d + 1334784. -4*(d - 158)*(d + 2112) Solve -2476*j**5 - 2350*j**4 + 2602*j**3 + 2350*j**2 - 126*j = 0. -1, 0, 63/1238, 1 Determine p so that p**3/5 - 224798*p**2/5 + 179836*p - 899176/5 = 0. 2, 224794 Factor 2*f**4 - 8648634*f**3 + 51891756*f**2 - 103783480*f + 69188976. 2*(f - 4324311)*(f - 2)**3 Let 2*u**4/5 + 5475778*u**3/5 + 999474410574*u**2 + 1520272207248845958*u/5 + 12161857828982974128/5 = 0. What is u? -912627, -8 Factor -5*m**3/2 + 4128205*m**2/2 - 852110018375*m/2 + 2556292901415/2. -5*(m - 412819)**2*(m - 3)/2 Factor -2*k**4/3 - 10022*k**3/3 - 5054996*k**2/3. -2*k**2*(k + 569)*(k + 4442)/3 Factor 2*x**3/11 - 5341472*x**2/11 + 3566436756640*x/11 - 28531152199936/11. 2*(x - 1335364)**2*(x - 8)/11 Factor t**3/2 + 497*t**2/2 - 50913*t - 3542616. (t - 198)*(t + 56)*(t + 639)/2 Let -2*m**5/9 - 67288*m**4/3 - 807418*m**3/9 + 201868*m**2/3 + 403712*m = 0. Calculate m. -100928, -3, 0, 2 Factor -3*v**2/5 + 14888139*v/5 + 14888142/5. -3*(v - 4962714)*(v + 1)/5 Find g, given that g**5/4 - 3855*g**4 + 19776000*g**3 - 33550962500*g**2 - 1024431562500*g = 0. -30, 0, 5150 Let -13*s**5 - 58*s**4 + 1167*s**3 + 2268*s**2 - 18900*s - 44064 = 0. What is s? -136/13, -3, 6 Solve n**2/3 - 1835*n/3 - 120900 = 0 for n. -180, 2015 Factor 3*f**2/8 - 23775*f/4 + 367071. 3*(f - 15788)*(f - 62)/8 Factor 3*x**2 - 70553382*x - 70553385. 3*(x - 23517795)*(x + 1) Let 8*v**5 - 6742*v**4 + 24944*v**3 + 189266*v**2 + 291812*v + 134240 = 0. Calculate v. -2, -5/4, -1, 8, 839 Find b, given that 2*b**2 + 14073536*b + 42220590 = 0. -7036765, -3 Factor 3*s**3 + 1911*s**2 + 281718*s - 5707584. 3*(s - 18)*(s + 288)*(s + 367) Determine m so that -4*m**4 - 1559328*m**3 - 202633113672*m**2 - 8778674149721856*m - 131634525057781140 = 0. -129939, -15 Let 2*f**3/7 - 2258*f**2/7 + 536030*f/7 + 59296050/7 = 0. Calculate f. -81, 605 Factor q**2/4 + 94888684*q + 9003862351251856. (q + 189777368)**2/4 Determine p, given that 4*p**5 - 1080*p**4 + 936*p**3 + 37888*p**2 - 60972*p - 96840 = 0. -6, -1, 3, 5, 269 Determine l, given that -5*l**5 - 6135*l**4 + 444320*l**3 - 3622740*l**2 + 7850160*l - 4665600 = 0. -1296, 1, 2, 6, 60 Let -s**4 + 47688*s**3 - 905810*s**2 + 4719312*s - 3861189 = 0. What is s? 1, 9, 47669 Factor -4*q**2/5 - 11709400*q - 42846890112500. -4*(q + 7318375)**2/5 Suppose -67*d**5 - 104921*d**4/3 + 35282*d**3 + 104398*d**2/3 - 35215*d + 523/3 = 0. Calculate d. -523, -1, 1/201, 1 Factor -n**4/3 + 5227*n**3/3 + 2677968*n**2 + 913011264*n. -n*(n - 6523)*(n + 648)**2/3 Solve d**2/6 + 164891*d/3 - 24414820/3 = 0. -329930, 148 Factor -f**3 - 1088*f**2 - 28809*f - 171882. -(f + 9)*(f + 18)*(f + 1061) Determine f so that 3*f**4 + 345*f**3 + 5097*f**2 - 282141*f + 1599696 = 0. -69, 7, 16 Factor x**3/6 - 265030*x**2/3 + 35106134456*x/3 + 1264851487008. (x - 265084)**2*(x + 108)/6 Suppose -2*v**5/19 + 108*v**4/19 + 3770*v**3/19 - 88980*v**2/19 + 302832*v/19 - 217728/19 = 0. Calculate v. -36, 1, 3, 14, 72 Factor -3*p**2/5 - 19647*p/5 + 58968/5. -3*(p - 3)*(p + 6552)/5 Factor 2*h**2/13 + 24353868*h/13 - 48707744/13. 2*(h - 2)*(h + 12176936)/13 What is n in 6*n**4/11 - 3144*n**3/11 + 281826*n**2/11 + 873936*n/11 = 0? -3, 0, 119, 408 Let -5*f**5/6 - 910*f**4/3 + 134165*f**3/6 + 13267660*f**2/3 + 4399890*f = 0. Calculate f. -398, -99, -1, 0, 134 Factor -4*y**4 - 22292*y**3 - 27509184*y**2 + 10157860080*y. -4*y*(y - 295)*(y + 2934)**2 Factor -2*a**2/11 + 37698*a/11 - 150760/11. -2*(a - 18845)*(a - 4)/11 Let 26*o**4 + 27038*o**3 + 7457320*o**2 + 618902200*o - 47652000 = 0. What is o? -660, -190, 1/13 Let -2*o**3/3 - 5281*o**2/9 + 295814*o/9 + 16483/3 = 0. Calculate o. -933, -1/6, 53 Factor 5*q**3 + 6295*q**2 + 117700*q - 124000. 5*(q - 1)*(q + 20)*(q + 1240) Solve 3*h**3/8 - 1149*h**2/8 - 136701*h/4 = 0. -166, 0, 549 Factor 2*y**4/9 - 4952*y**3/9 - 14964*y**2 - 135000*y - 405486. 2*(y - 2503)*(y + 9)**3/9 Factor -3*j**2/5 - 21436671*j/5 + 21436674/5. -3*(j - 1)*(j + 7145558)/5 Factor i**4/5 + 276*i**3/5 - 7008*i**2/5 + 57088*i/5 - 30720. (i - 8)**3*(i + 300)/5 Determine h so that -5*h**5 + 5595*h**4 + 56365*h**3 + 96225*h**2 - 293240*h - 338700 = 0. -6, -5, -1, 2, 1129 Find a, given that -3*a**2 - 9435*a + 20626650 = 0. -4630, 1485 What is c in -c**5 + 2376*c**4 + 11932*c**3 - 64206*c**2 - 193131*c + 642870 = 0? -6, -5, 3, 2381 Let -5*x**3 - 27467*x**2 - 5023266*x - 2004912 = 0. Calculate x. -5304, -189, -2/5 Let 2*l**5 + 2818*l**4 - 1778884*l**3 + 222468544*l**2 + 3776479232*l - 3997171712 = 0. What is l? -1906, -16, 1, 256 Factor -2*t**2/3 + 3672*t - 2608960/3. -2*(t - 5260)*(t - 248)/3 Factor 3*p**3/4 - 2925*p**2/4 + 24648*p + 25380. 3*(p - 940)*(p - 36)*(p + 1)/4 Determine u, given that 4*u**5 - 111332*u**4 + 7113780*u**3 - 136545580*u**2 + 921313016*u - 1351572768 = 0. 2, 13, 36, 27769 Find r such that 2*r**2/5 - 1757814*r/5 - 19336196/5 = 0. -11, 878918 Factor 2*p**2 + 219740292*p + 6035724491030658. 2*(p + 54935073)**2 Solve -5*b**3 - 2378405*b**2 - 19026920*b = 0 for b. -475673, -8, 0 Find d, given that d**2/3 + 87397*d/3 + 611632 = 0. -87376, -21 Find i such that -2*i**2/7 - 40158788*i/7 - 201591031703618/7 = 0. -10039697 Solve p**5 + 204*p**4 - 11119*p**3 + 21414*p**2 = 0. -249, 0, 2, 43 Let -13*s**5/4 + 1455*s**4/4 - 5705*s**3 + 21555*s**2 + 1692*s = 0. Calculate s. -1/13, 0, 6, 12, 94 Determine n so that -25*n**2 - 112795*n - 765850 = 0. -4505, -34/5 Factor -t**2/5 + 450199*t/5 + 1800812/5. -(t - 450203)*(t + 4)/5 Suppose -5*d**3 - 6802030*d**2 - 2313489434685*d - 74024696795040 = 0. What is d? -680187, -32 Determine d, given that -d**2 + 2553*d
{ "pile_set_name": "DM Mathematics" }
picking 2 v. 35/51 Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {j: 3, v: 2, a: 1, m: 1, c: 1, s: 5}. 5/78 Three letters picked without replacement from {a: 1, i: 3, z: 6, k: 5, h: 1, b: 1}. What is prob of picking 3 k? 1/68 What is prob of picking 3 r when three letters picked without replacement from rrrrrrr? 1 Calculate prob of picking 1 o and 3 z when four letters picked without replacement from {o: 2, z: 5}. 4/7 Two letters picked without replacement from wlllwwlmhwlhhwhqhdlh. Give prob of picking 1 l and 1 d. 3/95 Calculate prob of picking 1 m and 1 v when two letters picked without replacement from mvvvmvvvvvvvv. 11/39 What is prob of picking 1 j and 1 f when two letters picked without replacement from fjfffjfjjfjfjfjf? 21/40 Three letters picked without replacement from {j: 6, w: 2, h: 1, k: 1, m: 3}. What is prob of picking 2 j and 1 k? 15/286 Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 1, t: 1, s: 1, n: 1, b: 1}. 1/10 Three letters picked without replacement from wtytyaka. Give prob of picking 1 a, 1 y, and 1 k. 1/14 Two letters picked without replacement from {c: 1, d: 2, o: 2, h: 2, q: 1, b: 1}. What is prob of picking 1 o and 1 d? 1/9 Three letters picked without replacement from {d: 6, n: 6}. Give prob of picking 2 n and 1 d. 9/22 Three letters picked without replacement from {m: 2, u: 9, h: 1, b: 2}. What is prob of picking 2 u and 1 h? 9/91 Four letters picked without replacement from {b: 4, h: 1, u: 2, g: 5, r: 2}. What is prob of picking 1 h, 2 u, and 1 b? 4/1001 Four letters picked without replacement from ubuzuubzb. What is prob of picking 2 b and 2 z? 1/42 Calculate prob of picking 1 m and 1 n when two letters picked without replacement from fnatfxnfamtnanaxaa. 4/153 Four letters picked without replacement from {s: 3, l: 1, r: 3, j: 1, w: 2, q: 1}. Give prob of picking 2 w, 1 l, and 1 q. 1/330 What is prob of picking 2 j when two letters picked without replacement from {v: 3, u: 2, z: 6, j: 4}? 2/35 Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {q: 3, v: 5, b: 3, t: 2}. 9/286 Four letters picked without replacement from qahayaayqh. What is prob of picking 2 h and 2 y? 1/210 What is prob of picking 2 a when two letters picked without replacement from gagaggggeqqj? 1/66 Four letters picked without replacement from gahgjwjaag. What is prob of picking 1 h, 2 a, and 1 w? 1/70 What is prob of picking 2 w when two letters picked without replacement from mwwwwwmmwwmwww? 45/91 Two letters picked without replacement from {j: 3, t: 1}. Give prob of picking 1 j and 1 t. 1/2 Two letters picked without replacement from cffc. Give prob of picking 2 c. 1/6 Four letters picked without replacement from bbbbrrccrcccbbc. What is prob of picking 1 r and 3 c? 4/91 What is prob of picking 2 u, 1 r, and 1 p when four letters picked without replacement from purrubrrpmuup? 72/715 Two letters picked without replacement from {b: 5, g: 1, j: 1, p: 2}. Give prob of picking 1 b and 1 p. 5/18 Calculate prob of picking 1 i, 1 g, 1 v, and 1 j when four letters picked without replacement from {g: 1, i: 2, j: 1, v: 2}. 4/15 Two letters picked without replacement from {k: 6, j: 11, t: 2}. What is prob of picking 2 k? 5/57 Two letters picked without replacement from {x: 2, n: 8}. Give prob of picking 2 x. 1/45 What is prob of picking 2 b when two letters picked without replacement from {b: 1, i: 5, v: 12}? 0 Calculate prob of picking 3 l and 1 p when four letters picked without replacement from lprpplplll. 4/21 Three letters picked without replacement from hoogogvhgghgoggvogo. Give prob of picking 2 g and 1 v. 56/969 Calculate prob of picking 2 e when two letters picked without replacement from eeessdeeewdsiejie. 7/34 Two letters picked without replacement from skndhhkhnn. What is prob of picking 1 n and 1 h? 1/5 Two letters picked without replacement from qyrypyypyqrrpzrzqzp. Give prob of picking 1 y and 1 p. 20/171 Two letters picked without replacement from {b: 2, i: 2, k: 3, u: 1, c: 1, v: 6}. Give prob of picking 1 b and 1 i. 4/105 Three letters picked without replacement from ooooojoooojjoooo. What is prob of picking 1 o and 2 j? 39/560 Calculate prob of picking 4 v when four letters picked without replacement from vvccvvnvcvvvvc. 18/143 Three letters picked without replacement from pwdrnewwprpp. Give prob of picking 1 d, 1 r, and 1 e. 1/110 What is prob of picking 1 h and 2 t when three letters picked without replacement from rhrrrrrrrtrhrrrtrh? 1/272 Calculate prob of picking 2 y and 2 h when four letters picked without replacement from hhshshysssyhkssks. 1/238 Two letters picked without replacement from {o: 14, w: 5}. What is prob of picking 1 o and 1 w? 70/171 Two letters picked without replacement from ddvvd. Give prob of picking 2 v. 1/10 Calculate prob of picking 1 c and 3 i when four letters picked without replacement from {c: 4, i: 5, v: 1}. 4/21 Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {x: 1, d: 2, c: 4, h: 1}. 1/14 Two letters picked without replacement from {r: 11, s: 2}. What is prob of picking 1 r and 1 s? 11/39 What is prob of picking 1 f and 1 r when two letters picked without replacement from idtdttitdtdffrdt? 1/60 Three letters picked without replacement from {b: 2, j: 4, k: 2}. What is prob of picking 1 j and 2 k? 1/14 Four letters picked without replacement from {l: 1, o: 3, r: 3, u: 4}. What is prob of picking 2 o and 2 u? 3/55 What is prob of picking 1 t and 1 x when two letters picked without replacement from xwtwptpexptpxwwpwxxx? 9/95 Calculate prob of picking 1 t, 1 a, 1 y, and 1 s when four letters picked without replacement from {a: 3, y: 1, s: 6, x: 2, p: 4, t: 2}. 1/85 Four letters picked without replacement from {x: 15, b: 4}. What is prob of picking 4 b? 1/3876 What is prob of picking 1 z and 3 q when four letters picked without replacement from qqzzqzjjjzq? 8/165 Three letters picked without replacement from jmjjmsjjjj. Give prob of picking 1 m and 2 j. 7/20 Four letters picked without replacement from {u: 2, h: 1, z: 4, d: 1, w: 1, g: 6}. What is prob of picking 2 z, 1 h, and 1 w? 2/455 Two letters picked without replacement from uuuuuuuuwwwuuuu. What is prob of picking 2 u? 22/35 Four letters picked without replacement from {z: 14, i: 4}. Give prob of picking 3 i and 1 z. 14/765 What is prob of picking 3 f and 1 g when four letters picked without replacement from {r: 1, e: 1, t: 1, g: 5, m: 1, f: 5}? 50/1001 Calculate prob of picking 1 n and 2 m when three letters picked without replacement from {m: 4, n: 10}. 15/91 Two letters picked without replacement from zznnnnnznznnnnzn. Give prob of picking 2 z. 1/12 Four letters picked without replacement from ffvefhzvvfvvfvfve. Give prob of picking 2 v, 1 e, and 1 z. 3/170 Calculate prob of picking 2 g, 1 f, and 1 j when four letters picked without replacement from {a: 4, j: 5, o: 5, g: 5, f: 1}. 10/969 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from dcpddcdcdy. 1/45 Three letters picked without replacement from {w: 2, l: 8, y: 3, n: 1, q: 4, u: 2}. What is prob of picking 1 w, 1 q, and 1 n? 2/285 Two letters picked without replacement from wwcccwwwwwcc. What is prob of picking 1 w and 1 c? 35/66 Three letters picked without replacement from {q: 12, m: 7}. Give prob of picking 3 q. 220/969 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {l: 1, x: 1, y: 1}. 1/3 Four letters picked without replacement from bjjcccbbbccccb. What is prob of picking 1 b, 2 j, and 1 c? 5/143 Two letters picked without replacement from {k: 9, v: 5, j: 3, w: 3}. What is prob of picking 1 j and 1 w? 9/190 Two letters picked without replacement from xherephxxe. Give prob of picking 2 h. 1/45 Three letters picked without replacement from {q: 3, y: 1, s: 1}. What is prob of picking 3 q? 1/10 Calculate prob of picking 1 b, 1 f, 1 p, and 1 n when four letters picked without replacement from ffnnbp. 4/15 Three letters picked without replacement from xhvvxvvvvv. What is prob of picking 2 x and 1 h? 1/120 Calculate prob of picking 2 l and 2 p when four lett
{ "pile_set_name": "DM Mathematics" }
47. Let n = s - 88. What is the units digit of i(n)? 7 Let w(p) = 12*p**2 - 2*p - 3. Let b be w(-5). Let y be (-7)/(-21)*3/2*(-724)/2. Let m = y + b. What is the units digit of m? 6 Suppose -93*y + 193366 = -50802 - 23114. What is the hundreds digit of y? 8 Suppose 0*d - 29*d = -493. Let n = 195 - d. What is the tens digit of n? 7 Let r(i) = i**3 + 35*i**2 - 38*i + 47. What is the tens digit of r(14)? 1 Let l = 199 - 197. Suppose -2*v = -l*f - 465 - 1477, v - 3*f = 979. What is the hundreds digit of v? 9 Let z be (0 + (-100)/15)*-12. Let b be z/(-15)*6/(-4). Suppose -6*t - b*t = -2184. What is the tens digit of t? 5 Let y be ((2 + -3)*2)/(-1). Suppose y*x - 7*x + 20 = 0. What is the hundreds digit of 6*183*x/36? 1 Suppose 0 = x + 2*v + 26, 7*x = 2*x - 3*v - 116. Let c = x - 40. Let r = 147 + c. What is the units digit of r? 5 Suppose 3*i + 3*q = -q + 20, -3*q + 6 = 0. Let t(r) = 14*r**3 + 5*r**2 - 15*r + 8. What is the hundreds digit of t(i)? 9 Let m be (-3 + 2 - 1)*(-24)/16. Let x be 33*(65/3 - 0). Suppose 0 = -2*r - 10, 5*f - r - m*r - x = 0. What is the tens digit of f? 3 Suppose 8*y + 3*y - 33 = 0. Suppose -3*q - 2*m + 107 = -0*q, 113 = y*q - m. Let l = 18 + q. What is the tens digit of l? 5 Let p(u) = 523*u**2 + 531*u + 2675. What is the hundreds digit of p(-5)? 0 Let t = -49 + 835. What is the hundreds digit of 104/(-39)*t/(-8)? 2 Suppose 3*a - 39201 = -x, -21682 + 87033 = 5*a - x. What is the tens digit of a? 6 Let g(q) = -q**3 + 26*q**2 - 23*q + 23. Let h be (-2717)/(-57) - 1/(-3). Let u be -5*(-1)/(-3 + h/15). What is the units digit of g(u)? 3 What is the tens digit of (-2)/2*1070013/(-203)? 7 Let r = 363 - 481. Let t = r - -476. What is the tens digit of t? 5 Let u(z) = 11*z + 7. Let a(r) = 3*r - 8. Let x(g) = g**3 - 5*g**2 - 7*g + 10. Let n be x(6). Let q be a(n). What is the tens digit of u(q)? 5 Let y be (-6)/(-9)*-31*-6. Suppose -4*i = v + 33 + 143, 2*i + 74 = 3*v. Let a = i + y. What is the units digit of a? 1 Let z(o) = 20*o - 77. Let i be z(16). Suppose -g = -2*u - i, 0 = -5*u + 15. What is the units digit of g? 9 Let x = -315 + 319. Suppose x*c + 323 = m, -1530 = -5*m - 9*c + 12*c. What is the tens digit of m? 0 Let i be ((-1190)/6)/5*(-7 - -1). What is the hundreds digit of (-2 - -18)/(28/i)? 1 Let i(s) be the second derivative of -s**4/12 - 23*s**3/3 - 31*s**2/2 - 27*s - 1. What is the units digit of i(-38)? 3 Suppose 4*z - b - 112 = 0, 0 = -5*z - 6*b + 7*b + 141. Suppose 35*j - 870 = z*j. What is the units digit of j? 5 Suppose 10179 = -21*i + 8*i. What is the tens digit of (-10 + -1)/((72/i)/8)? 5 Let f be (11 + 1)*(-35)/105. What is the thousands digit of 1168 - f/8*4? 1 Suppose -l - 4*u - 353 = 0, -797 = 4*l - 4*u + 695. Let i = -62 - l. What is the hundreds digit of i? 3 Let c(n) = -1316*n - 13472. What is the tens digit of c(-56)? 2 Let t be 21*(-9)/((-189)/6). Let z(w) = -109*w**3 + 108*w**3 + 11*w**2 + 2 - 8*w - 3*w**2. What is the tens digit of z(t)? 2 Suppose 0 = -2*a + 58 + 16. Let h(c) = 3*c**2 + 37*c - 151. Let t be h(-16). Let z = a - t. What is the units digit of z? 2 Suppose -4*k - w = -122996, -227359 = -5*k + 2*w - 73627. Suppose -23*v - 8530 = -k. What is the tens digit of v? 6 Let z = -34 - -35. Suppose 0*c - 22 = -11*c. What is the tens digit of ((34 - c)*4)/(z/2)? 5 Let g = 12146 + -1723. What is the thousands digit of g? 0 Let g = -198 + 198. Suppose 0 = 4*v + 4*o - 471 - 1293, -4*o = g. What is the tens digit of v? 4 Suppose -4*f + 3*c = -2 - 0, 4*f - 2*c = 4. Let y(a) = 3*a**3 - 12*a**2 - 10*a - 20. Let z be y(5). What is the units digit of ((2 - f)*1 + 4)*z? 0 Let g = 2584 + -1400. Suppose g = 4*n + 328. What is the units digit of n? 4 Let j(h) = 3*h - 2*h**3 - 12 - 3*h**3 + 6*h**3 - 1 - 5*h**2. Let v be j(5). Suppose -3*l - 1055 = -5*b, -237 = -3*b - v*l + 377. What is the units digit of b? 8 Let z = -56 + 69. Suppose -8*d = -z*d - 3355. What is the tens digit of (-1)/(-8) + (-2 - d/8)? 8 Suppose 3*l - 17*a + 20*a - 68562 = 0, 0 = -3*l + 4*a + 68541. What is the thousands digit of l? 2 Suppose -7*n - 347640 = -8*n - 11*n. What is the tens digit of n? 7 Let w(t) = 9*t**3 + 3*t**2 + 9*t - 18. Let j be 8 + -8 + 4 - 0/1. What is the tens digit of w(j)? 4 Suppose -2*s - 4*x = -21276, 14*s = 22*s - 4*x - 85104. What is the units digit of s? 8 Suppose -4*k - t + 3283 = -2*t, -5*k - 2*t + 4120 = 0. Suppose 3*y - 2*j - 501 = 0, -4*y = y + j - k. Let w = y - 20. What is the units digit of w? 5 Let k(a) = a**2 - 3*a + 3. Let h be k(3). Suppose -2*u + w + 719 = 0, -h*u + 4*u + w = 358. Suppose -4*l = -u + 95. What is the tens digit of l? 6 Let l be (6084/(-16) + 8)*(1 - -3). Let g = -168 - l. What is the thousands digit of g? 1 Let v(g) = 1821*g**2 + 11*g - 67. What is the thousands digit of v(4)? 9 What is the hundreds digit of (3/(-9))/((-1 - -7)/(-3708))? 2 Suppose 0 = -3*y + 6*v - 10*v + 19190, -3*y + 19165 = -v. What is the tens digit of y? 9 Let z(m) = -m**2 - 15*m - 5. Suppose 3*l - 7 = -1, -3*i - 2*l - 20 = 0. Let q be z(i). Suppose j + q = 3*v, 0 = 2*j - 7*j - 15. What is the units digit of v? 6 What is the hundreds digit of -3 - -30 - 21 - 12/1 - -27413? 4 Suppose -2 = f, 2*i + 4*f + 11 = 33. Suppose 0 = -i*j + 47*j - 1888. What is the units digit of j? 9 Let l = 314 - -638. Suppose -2*z - l = 5*z. Let g = z + 204. What is the units digit of g? 8 Suppose 9*k + 15*k = 0. Suppose k = -25*w - 1782 + 13382. What is the hundreds digit of w? 4 Suppose -236*y + 240*y - 52 = 0. Suppose -y*d = 19*d - 19648. What is the hundreds digit of d? 6 Let j = 18401 + -9909. What is the tens digit of j? 9 Let b(d) = -134*d + 4846. What is the hundreds digit of b(35)? 1 Let f(o) = -o**3 - 35*o**2 - 655*o + 45. What is the units digit of f(-40)? 5 Let x = -1236 - -2197. What is the units digit of x? 1 Suppose -2*t + 5*o + 25659 = 0, -628*o + 625*o + 25683 = 2*t. What is the ten thousands digit of t? 1 Let b(f) be the first derivative of 4*f**2 - 11*f - 25. Let q be b(2). Let n(m) = 15*m + 19. What is the units digit of n(q)? 4 Let a(z) be the third derivative of z**5/30 + 2*z**4/3 + 11*z**3/3 - 58*z**2. What is the units digit of a(-21)? 8 Suppose 0 = 16*a - 9*a + 21441. Let b = -1263 - a. Suppose 8*j = -2*j + b. What is the hundreds digit of j? 1 Let o(d) = 7*d - 11*d - 11*d. What is the tens digit of o(-11)? 6 Suppose 5 = -9*f + 5. Let l(u) = u**3 + 7. Let o be l(f). What is the units digit of 138 + o/(14/6)? 1 Let k(h) = -1891*h**3 - 2*h - 3. Let y be k(-1). What is the units digit of (4/6*-2)/((-5)/y)? 4 Let z(q) = 3*q**2 + 12*q + 28. Let k be 68/(-8)*-1*-2. What is the tens digit of z(k)? 9 Suppose -5*y - 3*c = 1281, -5*c = y + 232 + 11. Let v be (-15)/(-8) + (-6)/(-48). What is the tens digit of (-1)/(v/y - 0)? 2 Suppose 0 = 20*j - 41743 - 44997. What is the hundreds digit of j? 3 Let m = -119 - -27. Let q be (-590)/(-4)*m/(-115). Suppose -2*x + 16 = -q. What is the tens digit of x? 6 Let h = -196 + 139. Let b be h/(-21) - (-20)/70. Suppose b*v - 701 = -4*c - 2*v, -3*c - 2*v = -531. What is the units digit of c? 9 Let k(o) be the first derivative of -o**4 - 55*o**3/3 + o**2/2 + 17*o - 47. What is the units digit of k(-14)? 9 Suppose 0 = -61*i - 4*i - 889898 + 3318948. What is the thousands digit of i? 7 Let h(q) = q**2 + 4*q - 11. Let g be h(3). Let f(t) = -2 - 7*t + 0 + g + 1. What is the units digit of f(-9)? 2 Let b = 110 + -63. Let w = b + -43. Suppose 0*v - 84 = -4*y + 4*v, 141 = 5*y + w*v. What is the tens digit of y? 2 Suppose 35*m - 8*m - 162 = 0. Suppose -8*n + 5 = -9*n, 4*n + m = -v. What is the units digit of v? 4 What is the hundreds digit of -19 + (-146)/(-8) + 121766/8? 2 Let z be (-3 + 3 + 24)*6/16. Let c(v) = 10*v**2 - 40*v - 11. What is the tens digit of c(z)? 3 Suppose 3*h = -5*z + 21, 5*h - 3*z + 2 = 37. Suppose 4808 = 5*c + 10*s - h*s, 3*c - 2887 = -4*s. What is the hundreds digit of c? 9 Suppose -1038*f - 40455 = -1041*f + 5*w, 53882 = 4*f + 3*w. What is the thousands digit of f? 3 Suppose 2*w + 27097 = 3*a, -4*a + 36131 = 351*w - 354*w. What is the hundreds digit of a? 0 Let z = 520 + -240. Suppose 0*u = 2*u - 10, 0 = -3*n + 4*u + z. What is the tens digit of n? 0 Suppose 10*q - 6912 - 30638 = 0. Suppose 0 = -6*h + 133 + q. What is the tens digit of h? 4 What is the ten thousands digit o
{ "pile_set_name": "DM Mathematics" }
11000110111011110010 (base 2) in base 14? b3989c -76443775 (base 8) to base 10 -16402429 -11111011001110101101 (base 2) to base 7 -11514052 36a85d (base 14) to base 6 104051323 -4751e (base 16) to base 3 -112211201111 What is 11101010001011010111101 (base 2) in base 10? 7673533 Convert -1111111110111101010 (base 2) to base 15. -a52be Convert 17775041 (base 8) to base 14. 7b1dbb Convert -10011110100110101101101 (base 2) to base 12. -18a7751 -b0861 (base 12) to base 16 -37fc9 What is 112100120202 (base 3) in base 4? 1010332310 -2896978 (base 11) to base 14 -936199 What is 14441400 (base 5) in base 9? 256706 Convert 12102001111100 (base 3) to base 6. 141341143 5067476 (base 8) to base 16 146f3e 175fa9 (base 16) to base 12 61a575 6b885 (base 15) to base 4 1103230100 Convert -13697 (base 15) to base 3. -10011101021 What is 10020031120 (base 4) in base 6? 35110104 Convert 14121250 (base 6) to base 15. 96616 Convert 13c60 (base 13) to base 9. 56087 What is 13223101 (base 4) in base 6? 401321 Convert -16258555 (base 9) to base 2. -11111000000100100100101 -9a21 (base 12) to base 11 -11870 Convert -100001101011001101101 (base 2) to base 7. -12244053 76712 (base 14) to base 3 112120100220 What is 2670734 (base 8) in base 7? 6242501 Convert 1002230001 (base 4) to base 15. 55e03 -53072 (base 10) to base 6 -1045412 Convert -30001003300 (base 4) to base 14. -5bdda8 What is -1c8b7 (base 16) in base 6? -2301143 508094 (base 11) to base 3 1112110100110 What is 6064053 (base 8) in base 2? 110000110100000101011 Convert -1055037 (base 8) to base 13. -9ca88 What is -5c440 (base 14) in base 8? -671070 Convert -100000110111010 (base 2) to base 15. -4ebb Convert 14625350 (base 8) to base 9. 6270801 What is 7c8d6 (base 15) in base 6? 12301220 -131299 (base 10) to base 13 -479bc Convert 2265121 (base 8) to base 12. 259101 What is -821b48 (base 13) in base 14? -58cb38 What is -328331 (base 14) in base 7? -20362561 Convert 5072450 (base 8) to base 2. 101000111010100101000 What is 10103332 (base 8) in base 6? 113404510 Convert -30003532 (base 6) to base 3. -1120201011102 Convert -12112000201 (base 3) to base 10. -108640 What is 212212033 (base 4) in base 11? a8863 -230201310 (base 5) to base 6 -33523504 Convert -12426a4 (base 11) to base 2. -1000001110010011010001 -10112212212201 (base 3) to base 6 -104241244 What is 4453220 (base 6) in base 11? 144001 -13073359 (base 10) to base 15 -12338c4 Convert 3137aa (base 12) to base 3. 1110022010011 146430365 (base 7) to base 12 3366198 What is -31021201310 (base 4) in base 2? -1101001001100001110100 Convert -b99d (base 14) to base 15. -9792 Convert b2a98 (base 13) to base 5. 40223010 116d1d (base 14) to base 11 377273 Convert -4504112 (base 6) to base 7. -1632044 Convert 17752161 (base 8) to base 9. 7775177 Convert -733342 (base 13) to base 4. -22101030232 Convert 1043b6 (base 16) to base 9. 2004134 What is -1060c69 (base 13) in base 3? -100102001002221 103022032 (base 5) to base 2 1101011001011101001 What is -12440162 (base 8) in base 2? -1010100100000001110010 Convert -1915873 (base 10) to base 7. -22166431 -24889 (base 15) to base 2 -11100011111000111 112211010 (base 4) to base 11 63537 What is 59243 (base 14) in base 16? 3508b 877c11 (base 14) to base 6 242240131 17271 (base 14) to base 16 e303 3286454 (base 9) to base 4 12300002320 Convert -95c2 (base 16) to base 9. -57527 What is -1120102022 (base 3) in base 6? -355055 -c888 (base 14) to base 11 -2400a Convert 1167461 (base 10) to base 6. 41004525 What is 2002212211102 (base 3) in base 11? 6a5207 What is 1132332321 (base 4) in base 13? 10810b What is 2ad8c (base 14) in base 5? 11410234 1136159 (base 10) to base 9 2121458 What is -2214165 (base 9) in base 11? -743571 Convert -173181 (base 9) to base 5. -11413232 Convert -12400033 (base 9) to base 6. -334205433 -2cb95 (base 14) to base 10 -112047 What is 341925 (base 10) in base 4? 1103132211 Convert -11001100010011010 (base 2) to base 8. -314232 What is -11011211022101 (base 3) in base 12? -8b11b4 What is 1221240 (base 5) in base 7? 124663 What is -18b80 (base 14) in base 4? -33102230 What is -420573 (base 10) in base 3? -210100220210 What is 57451225 (base 8) in base 11? 704a154 Convert -98bb1d (base 14) to base 11. -2a18992 What is -10001011102 (base 3) in base 14? -17b85 What is 111020111001 (base 3) in base 15? 5233a Convert 4d0269 (base 16) to base 12. 18347a1 Convert 643000 (base 7) to base 8. 331563 -239b76 (base 12) to base 5 -121431343 Convert -144872 (base 11) to base 3. -102110222212 74993 (base 10) to base 9 123775 What is 1c43a (base 13) in base 11? 388a1 Convert 45160 (base 13) to base 5. 13003401 What is 20320223 (base 4) in base 2? 1000111000101011 Convert -6579358 (base 10) to base 5. -3141014413 3066552 (base 7) to base 5 43312233 9891a1 (base 11) to base 13 433800 Convert 58dba (base 16) to base 14. 968d4 -125244 (base 6) to base 4 -2310130 What is 4451030 (base 7) in base 13? 163577 -110110010000000111010 (base 2) to base 14 -343c02 -4001230 (base 6) to base 3 -100111102100 Convert 21210012222 (base 3) to base 4. 211122203 -10100110011011011001 (base 2) to base 5 -133303224 216038 (base 9) to base 3 20120001022 1829403 (base 14) to base 15 10ab1e8 312210213131 (base 4) to base 6 1230342205 Convert -3814064 (base 9) to base 5. -1012420000 -1126161 (base 7) to base 15 -2bd73 What is -13072337 (base 8) in base 6? -142240235 What is 104fad (base 16) in base 2? 100000100111110101101 What is -123230404 (base 5) in base 14? -119547 -d77f8 (base 16) to base 12 -366988 Convert 34382 (base 14) to base 6. 2415342 Convert -b2cc84 (base 14) to base 13. -1330b4a What is -550b4 (base 14) in base 5? -23042313 203233312 (base 4) to base 13 51853 What is 140114310 (base 5) in base 3? 1022221110001 -14024044 (base 6) to base 11 -2a1173 Convert -77411 (base 9) to base 5. -3120424 What is -64132162 (base 7) in base 15? -725ccd Convert -10000111101100 (base 2) to base 10. -8684 Convert -62521 (base 7) to base 15. -4837 What is 131232201 (base 4) in base 9? 205020 What is -4023415 (base 12) in base 3? -211120012210222 Convert 14414421 (base 5) to base 3. 21211202002 Convert -310233011 (base 4) to base 2. -110100101111000101 What is 6b403 (base 12) in base 9? 238473 What is -1130030122 (base 4) in base 9? -635004 Convert -6014545 (base 7) to base 12. -2a2a21 Convert 1000011000100111100000 (base 2) to base 4. 20120213200 Convert 569bc2 (base 14) to base 10. 2946638 732362 (base 10) to base 2 10110010110011001010 -2502346 (base 7) to base 6 -10510224 Convert 211102021202 (base 3) to base 8. 1535646 What is -4360661 (base 7) in base 8? -2026320 2015603 (base 11) to base 7 42206005 15245151 (base 7) to base 10 1456806 Convert 4533012 (base 8) to base 4. 10223120022 What is -19b7 (base 14) in base 5? -122134 -718537 (base 16) to base 8 -34302467 100122122 (base 4) to base 16 1069a -7065b (base 15) to base 11 -223365 What is 2b3110 (base 15) in base 11? 11a5265 What is -1881096 (base 10) in base 4? -13023100020 Convert 21330155 (base 6) to base 10. 633815 What is -95b96c (base 13) in base 6? -203123004 What is -12744337 (base 8) in base 11? -168a970 Convert -10010122313 (base 4) to base 9. -2005178 What is -231221221 (base 4) in base 3? -100111111101 What is d94630 (base 15) in base 5? 10121424040 -1412441202 (base 5) to base 10 -3640177 27434642 (base 8) to base 2 10111100011100110100010 Convert -361123 (base 8) to base 10. -123475 What is -44343220 (base 5) in base 11? -244aa0 What is -20222133333 (base 4) in base 14? -4319cb Convert -4668023 (base 10) to base 16. -473a77 Convert -1bc61 (base 13) to base 2. -1101011000110011 Convert 8b7d41 (base 14) to base 15. 63b7a6 -100001101010010100000000 (base 2) to base 10 -8824064 What is -ce50 (base 15) in base 12? -21379 Convert 4324102 (base 5) to base 11. 50377 Convert 300303013 (base 4) to base 15. 3e354 What is -14f306 (base 16) in base 4? -11033030012 -1010103010 (base 4) to base 5 -32422443 703265 (base 11) to base 8 4242217 What is -122556 (base 13) in base 15? -887a0 Convert -11100110010111000001011 (base 2) to base 5. -3413022202 -1e7f (base 16) to base 6 -100051 2224033112 (base 5) to base 9 10211214 What is 87546 (base 9) in base 5? 3324123 -19b310 (base 13) to base 10 -6530
{ "pile_set_name": "DM Mathematics" }
n? 44 Let h = 16.82 + -17.02. What is the smallest value in -2, 18, h? -2 Suppose -620 = 18*s + 1143 + 379. What is the second smallest value in s, -5, 4/3, 1.1? -5 Let p = 5 + -10. Let m = -64.1 - -59. Let j = 4.5 + m. Which is the biggest value? (a) p (b) -2 (c) j c Let x = -266.1 - -267.1. Which is the third smallest value? (a) -4/7 (b) x (c) -5/9 b Let a = 264 - 1844/7. Let z = -5 + 55. Let q = z + -46. What is the fourth smallest value in 5/3, q, a, 3? q Let n = -50288 - -50286.3. Suppose -4*d + 7*d - 12 = 0. Which is the smallest value? (a) 0.1 (b) n (c) d b Let i be (-10)/18 + 1/3. Let w = 1.25784 - 2.25784. Which is the second biggest value? (a) w (b) -5/2 (c) 1.7 (d) i d Let l = 54 - 51.31. Let d = -2.79 + l. What is the third biggest value in -27/2, 4, 1/3, d? d Suppose 4*b + 37*a = 42*a + 113, -4*a = -5*b + 148. What is the third biggest value in -0.3, -0.2, 0.2, b? -0.2 Suppose 0 = 14*k - 10*k - 8. Let x be 9 - (-1 + 29/3). Let g = -0.6 - -0.1. Which is the fourth smallest value? (a) g (b) 2/7 (c) k (d) x c Suppose -4*n + 34 = 10. Let y be 4/(-2) + 17/n. What is the third biggest value in y, -0.2, -3/2? -3/2 Let p = 66 - 233. Let v = -166.9 - p. Let y = -6.4 + 6. Which is the biggest value? (a) v (b) y (c) -1 a Let f = -26.314 - 0.186. Let u = f + 23.5. Which is the biggest value? (a) u (b) 0 (c) 0.32 c Let y = 206 + -234. Let b be (-17)/(-20) + 7/y. What is the third smallest value in -0.04, b, -6? b Let r = -0.177 + -22.023. Let u = r - -22.3. What is the fourth smallest value in 2, -2/3, -0.1, u? 2 Let f = 36 - -10. Let q be 23/f*(-4)/(-10). Let y = 84/17 + -219/34. Which is the smallest value? (a) q (b) -5 (c) -0.27 (d) y b Let w = -3.34 - -1.24. Let q = w - -1.8. Which is the third smallest value? (a) -1/4 (b) q (c) 2 c Let j = 274 - 270. Let g = 0.9272 + 0.0728. What is the third biggest value in j, 0.7, g, -3? 0.7 Suppose 4*f = -4*l + 36, 3*f = 7*f - 5*l. Let y = -0.03 + 0.23. Let z = 1054/5 + -210. Which is the fourth smallest value? (a) z (b) f (c) y (d) -0.5 b Suppose 64*w - i - 227 = 60*w, -3*i + 231 = 4*w. What is the third biggest value in 2, 0.5, 0.3, -0.1, w? 0.5 Let p be 22/220 - 156/760. Which is the fourth smallest value? (a) 0 (b) 3 (c) p (d) 0.2 b Let o = 87.39 - -1.61. Let i = -46 + o. Let z = -40 + i. What is the second biggest value in -1/2, 0.5, z? 0.5 Let m = -8326 + 8325. Let r be (0 - (0 + -1)) + 112. Which is the fourth smallest value? (a) -5 (b) r (c) m (d) -2/3 b Let w be ((-13)/(1014/(-65)))/(20/6). Let v be (((-2)/3)/2)/(-1). Which is the biggest value? (a) -2/3 (b) w (c) 0.2 (d) v d Let h(i) = i - 12. Let o be h(6). Let c be 2*(-3)/(-6) - o/(-24). What is the fourth smallest value in -5, -0.02, 2/11, c? c Let y = 100 - 1. Let o = -99 + y. Suppose -5*k = -0*h - 2*h + 26, -5*h - 1 = 4*k. What is the biggest value in 2, k, o? 2 Let j = -314.69 + 316. Let s = 6.31 - j. Which is the fourth biggest value? (a) 2 (b) s (c) -3 (d) 0.1 c Let l = -142.783 - -143.4. Let u = l + -0.317. What is the smallest value in -0.1, u, 3.9? -0.1 Let t be 1/(-3 - -2) + 289/323. Which is the third biggest value? (a) -5 (b) 0 (c) t (d) 5 c Let l = -1.91 + -7.19. Let m = l - -9.6. Which is the smallest value? (a) 16 (b) -1/3 (c) -5 (d) m c Let g = -0.0209 - -0.1209. Which is the second smallest value? (a) -0.4 (b) 112 (c) g c Let x = 49.7 - 48. Let u = x - 1.11. Let l = u + -0.49. What is the third biggest value in 27, 0.4, l? l Let g = -7691.8 - -7692. Which is the second biggest value? (a) 0.03 (b) -7 (c) g (d) 1/2 (e) 0.4 e Let z = -174 + 7132/41. Which is the second smallest value? (a) -11 (b) z (c) -0.4 c Let j(w) = w**2 - 14*w + 12. Let t be j(14). Let u = 88/239 - 314/2151. Which is the third smallest value? (a) 3/2 (b) t (c) 2 (d) u c Let k = -2475 - -2475. Which is the second biggest value? (a) k (b) 2/15 (c) 3/124 c Let v be (-1)/5*(-105)/6 - (-84)/56. What is the biggest value in v, -7, 75? 75 Let t = 2875 - 2874.99. Suppose 4*p = -g - 9, p - 9 = -g + 3*p. Suppose 20 = -4*n - n, 0 = -4*k + g*n - 4. What is the third smallest value in -1/3, t, k, -3? -1/3 Let n = 86385.61 + -86386. Suppose 0 = 4*q - 0*q + 20. Which is the smallest value? (a) -3/5 (b) n (c) q c Let j be (1/3 - (-1)/3) + (-2)/3. What is the third smallest value in j, -2, 0.13, -5, -0.6? -0.6 Let t = 267 - 266.893. Let n = -0.893 - t. Which is the smallest value? (a) 2 (b) 0.9 (c) n c Let p(k) = k**2 - 5*k + 5. Let h be p(5). Let m = -4494 + 4494.03. Which is the second biggest value? (a) -0.5 (b) m (c) h (d) 4 d Let f = 1/3 - 7/12. Let y = 0.8 - 0.8. Suppose p = -5*j - 1, 8*j - 7*j + 4*p = 15. Which is the smallest value? (a) 3 (b) j (c) f (d) y b Let w = 154 - 145. Suppose w*y = 2*y + 7. What is the fourth smallest value in 5, y, -5, -0.5? 5 Let u = -0.4 + 0.8. Let i = -8.764 + 1.764. Which is the biggest value? (a) 2 (b) i (c) u (d) -0.2 a Let f be (-63 + 57)/(-3 + -30). What is the third smallest value in 5, 4/3, f, -5, 3? 4/3 Let d = -34591/9418 + 125/34. Let f = d + -565/3047. What is the biggest value in 4, f, 3, 0.4? 4 Let q = -0.11 + 2.11. Let j = 3927 - 3922. Which is the fourth smallest value? (a) -1 (b) j (c) q (d) -38 b Let v = 5230.1 - 5236. What is the fourth smallest value in v, 0.5, -5, -4? 0.5 Let p = -20368.0663 - -20367. Let w = p + 0.0663. Which is the fourth biggest value? (a) -2 (b) w (c) -0.4 (d) 0.17 a Let z = 0.1 - 0.5. Let a be (-708)/826*(-4)/12. What is the third biggest value in z, 1, -11, a? z Let n = 1.731 + 0.079. Let v = 1.81 - n. Which is the biggest value? (a) -1 (b) -1.3 (c) v c Let g = -467 - -467.4. Let t = -98 - -98.1. What is the third biggest value in t, g, 0.3, 2/3? 0.3 Let o = 4.045 + -0.045. What is the fourth biggest value in -20, -5, o, -0.2? -20 Let c = -0.9 + 0.5. Let x = 10251 + -10248. What is the biggest value in c, -0.7, -1/2, x? x Let q = 0.06065 + 635.53935. Let d = -636 + q. What is the third smallest value in d, 5, 0, 0.2? 0.2 Let v be -4 + 1067/99 - 7. Let j = -35 - -35. Which is the biggest value? (a) v (b) 4 (c) j b Let i(b) = -7*b - 2. Let z be i(-1). Let a be (-6)/(-1) - (6 - 7)*0. Suppose 9 = 2*f + z*c, 5*f - 3*c - a = c. What is the smallest value in -1, f, 8, -2/15? -1 Let i = -104 + 104.4. Let n = 38 - 30. Which is the third smallest value? (a) 0.5 (b) i (c) n c Let v be 24/32*(-4)/5. Let x be (1335/12 - -6) + 2/(-8). Let r = x + -587/5. What is the biggest value in v, -0.5, r? r Let s be (4 - (10 - 4))*(-1)/(-1). Let z be s/22*(-2 - 0). Let v = -24/23 + -41/115. What is the smallest value in -3, v, z? -3 Let i = 13583 + -13590. Which is the biggest value? (a) i (b) -2.5 (c) -1/3 (d) -0.2 (e) 0 e Let d = -15652 - -15617. Let q = -3 + 3. What is the third biggest value in q, 0.1, -1/2, d? -1/2 Let w = -0.98 + 1. Let g = 0.02 - w. Let p = -1800 + 1799.7. Which is the second smallest value? (a) -5 (b) p (c) -4 (d) g c Let a = -0.1191 + -555.8809. Let u = a - -530. What is the second smallest value in 7, u, 0.4? 0.4 Let l be (-3)/(2/(-4)*-57). Let y = -922 - -924. Let s = -119 + 116. What is the smallest value in -7, y, l, s? -7 Let v = 4593 + -4592.6. Which is the smallest value? (a) -5.2 (b) -2 (c) -4/7 (d) v a Let t be (78/(-182))/((-2)/((-24)/(-9))). Which is the fourth biggest value? (a) 5 (b) t (c) -1/4 (d) 6 c Let d = -1035 - -1085.9. Let q = d - 51.2. Which is the biggest value? (a) 1.3 (b) q (c) 0 a Let i = 896 - 899. Let q = -15 + 9. Which is the smallest value? (a) q (b) -1/5 (c) -2/9 (d) i a Let f be 1/((-6)/(-18)) - -7. Let r be (-7)/5*f/(-35). Which is the fourth biggest value? (a) 3/2 (b) -0.4 (c) r (d) -1/5 b Let w = 10910 + -10908. What is the second smallest value in -17, -5, -3/2, w? -5 Let x be ((-212)/(-12) - 0)*-3. Let t = x - -268/5. Let i = 203 - 207. Which is the third smallest value? (a) i (b) 0 (c) t c Let s(q) = 271*q - 812. Let y be s(3). What is the second smallest value in -3, 4/7, -0.037, y? -0.037 Suppose 8 = 2*n, -6 = 2*w - 3*n - n. Let s = -472 + 400. Let l = 71.5 + s. What is the second biggest value in l, w, 1? 1 Suppose 4*y + 4*h + 215 = h, 5*y - h + 283 = 0. Let w be 24/y + (-159)/21. Which is the smallest va
{ "pile_set_name": "DM Mathematics" }
**2*z**3 + 209781121*b**2 - 2*z**3 - 21*z**2 + 2*z + 353939 wrt b. -4*b*z**3 + 419562242*b Differentiate 50*t**3 + 15*t**2 - 362*t - 21802186. 150*t**2 + 30*t - 362 What is the second derivative of -211*z**4 + 12*z**3 - 9448*z**2 + 281729091*z wrt z? -2532*z**2 + 72*z - 18896 Find the second derivative of 1108*y**5 - 5481*y**2 + 11640801*y. 22160*y**3 - 10962 What is the second derivative of -921789149*r**5 + 852242669*r wrt r? -18435782980*r**3 What is the third derivative of -166272908*w**4 - 64*w**2 + 70*w + 2750? -3990549792*w What is the third derivative of 5*l**4 - 581609*l**3 + 429*l**2 + 1003*l? 120*l - 3489654 Differentiate -3881*p**3 - 2655*p**2 - p - 13298714 wrt p. -11643*p**2 - 5310*p - 1 What is the second derivative of 21578103*s**3 - 5*s**2 - 2*s - 69164923 wrt s? 129468618*s - 10 Find the first derivative of -3*k*v**2 + 1240268*k*v + 266821*v**2 + 19 wrt k. -3*v**2 + 1240268*v What is the second derivative of 14*s**5 + 16951640*s**4 - 69282*s + 3034 wrt s? 280*s**3 + 203419680*s**2 What is the third derivative of 906985540*q**4 + 235914533*q**2? 21767652960*q What is the first derivative of -835*l*n + 288997*l + 10299695*n - 1 wrt l? -835*n + 288997 What is the third derivative of 10*z**6 - 234013*z**3 + 72134329*z**2 wrt z? 1200*z**3 - 1404078 Find the third derivative of -61858062*h**3*z**3 - 17*h**3*z**2 + 4107*h**3*z + 30*h*z**2 + 2*h wrt z. -371148372*h**3 Find the second derivative of -3*g**2*l*x**2 - 2313*g**2*l*x + 230*g**2*x - 7*g*l*x - 15*g*l - 27*g*x**2 + 1027*x**2 wrt g. -6*l*x**2 - 4626*l*x + 460*x Find the third derivative of -6*h**5 - 4*h**4 + 17982*h**3 - 219414*h**2. -360*h**2 - 96*h + 107892 What is the first derivative of -4*a**3 + 492656*a**2 - 23*a + 244895745? -12*a**2 + 985312*a - 23 What is the second derivative of 1045986756*a**2 + 345010*a - 402? 2091973512 Find the second derivative of 94997275*b**4 - 141676045*b wrt b. 1139967300*b**2 What is the third derivative of d**3*q**2 + 2067961*d**3 + 5*d**2*q**2 - 78*d**2 - 1277*d*q wrt d? 6*q**2 + 12407766 Find the first derivative of 248*h**2 - 71267*h - 19918246. 496*h - 71267 What is the derivative of -4132*f**4 - 2*f**3 - 259*f**2 - 536062 wrt f? -16528*f**3 - 6*f**2 - 518*f Find the first derivative of 116304577*m**3 - 90883665. 348913731*m**2 Differentiate -65326*f**2 + 25*f + 8873428. -130652*f + 25 What is the first derivative of 154391512*z**3 - 358535473 wrt z? 463174536*z**2 Differentiate 5214437*n**2 - 11344505. 10428874*n What is the derivative of 267452130*m - 165201054 wrt m? 267452130 What is the second derivative of 5542356*b**2 - 5839548*b? 11084712 Find the third derivative of 54083503*z**4 - 18898*z**2 - 3768*z wrt z. 1298004072*z What is the second derivative of 487518865*x**2 + 840563862*x? 975037730 What is the derivative of -k*l**2*t - 100425*k*t + 8*k - 580*l**2 + 10*l*t + 157*l wrt k? -l**2*t - 100425*t + 8 What is the second derivative of 4285709*o**4 + 368*o + 5246? 51428508*o**2 What is the third derivative of -17*w**6 + 1415959*w**4 + 1733*w**2 + 2*w + 9746? -2040*w**3 + 33983016*w Find the second derivative of -89*a**2*z**2 - 61*a**2*z + 330*a**2 + 27*a*z**2 + 389*z**2 - 19*z - 2 wrt z. -178*a**2 + 54*a + 778 What is the second derivative of 2*f**3*r*y**2 + f**3*y + f*r - 44*r*y + 1438091*y**2 - 633 wrt y? 4*f**3*r + 2876182 Find the third derivative of -41*s**4 - 306834*s**3 + s**2 - 3432219*s wrt s. -984*s - 1841004 What is the derivative of 4783815*a + 39492887? 4783815 What is the third derivative of 187533050*l**3 - 2*l**2 - 524731*l? 1125198300 What is the third derivative of 3516855*g**2*x**3 - 104079*g**2*x**2 - 12*g**2 wrt x? 21101130*g**2 Find the third derivative of 49165460*d**4 + 2*d**2 + 23382170*d wrt d. 1179971040*d Find the second derivative of 28354513*f**5 + 668*f - 18261 wrt f. 567090260*f**3 Find the second derivative of -2*t**4 + 42822648*t**3 - t**2 + 149686466*t wrt t. -24*t**2 + 256935888*t - 2 Differentiate 420084*m**2 + 151*m - 507560058 wrt m. 840168*m + 151 What is the third derivative of -35*l**4*y - 75913*l**3*y - 9*l**3 - 15*l**2*y + l*y + 10*l + 1789*y - 7 wrt l? -840*l*y - 455478*y - 54 What is the third derivative of 6*b**6*m**3 - 204819*b**6 - 44*b**2*m**3 + 2*b**2*m**2 - 13358*b**2 - 3*b wrt b? 720*b**3*m**3 - 24578280*b**3 What is the third derivative of 2232175*z**3 + 5299487*z**2 - 2*z wrt z? 13393050 What is the derivative of -v**3 - 1337*v**2 + 271*v + 7749584 wrt v? -3*v**2 - 2674*v + 271 Find the third derivative of 2933947*u**4 + 3*u**3 + u**2 + 700577*u. 70414728*u + 18 What is the derivative of 8*s**2 - 18059403*s - 733540419 wrt s? 16*s - 18059403 What is the third derivative of 929*s**4*t - 38*s**4 - 6*s**3*t**2 + 1168*s**2 - 7*s*t**2 + s*t - 2*s - 27 wrt s? 22296*s*t - 912*s - 36*t**2 Find the third derivative of 125992212*f**3 + 181541507*f**2 wrt f. 755953272 Differentiate -844973565*l*r**3 + 486*r**3 - 4600 with respect to l. -844973565*r**3 Differentiate -129*d*w*x + 8797*d*w - 57024*d*x - 388*d wrt x. -129*d*w - 57024*d What is the second derivative of 10059*y*z**4 - 12261*y*z**3 + 108*y*z - 6*y - z + 43994 wrt z? 120708*y*z**2 - 73566*y*z Find the second derivative of 1276*b*j**3 + 2*b*j**2 + 5*b*j + 2*b + 2*j**3 - 7*j**2 + 435*j + 98 wrt j. 7656*b*j + 4*b + 12*j - 14 Find the second derivative of -9020469*r**2 - 14648809*r wrt r. -18040938 What is the third derivative of -6615607*m**3*r**3 + 363*m**3 - 3701*m*r**2 wrt r? -39693642*m**3 Find the third derivative of 2*b**5 - 2*b**4 + 519851*b**3 - 7775740*b**2. 120*b**2 - 48*b + 3119106 Find the first derivative of -531*i*x**4 - 11350*i*x + 35182541*i wrt x. -2124*i*x**3 - 11350*i Differentiate -9*c**3*t - 5216*c**3*y + 1689549*c*t*y + 5028*c*y wrt t. -9*c**3 + 1689549*c*y Find the second derivative of -3530*g**3*p - 3*g**3 + 4*g**2*p + 233*g**2 + 102*g*p - 169359*g wrt g. -21180*g*p - 18*g + 8*p + 466 What is the third derivative of 15754895*u**3 - 2*u**2 - 15284152 wrt u? 94529370 Find the third derivative of -l*y**4 + 22894743*l*y**3 - 2*l*y**2 - 2*l*y - l + 3578*y**2 + 370*y wrt y. -24*l*y + 137368458*l What is the first derivative of 3266*t**3*x + 4673758*t**3 - 5*t*x + 85*x wrt x? 3266*t**3 - 5*t + 85 Find the second derivative of 41374642*b**5 - 2337*b - 999. 827492840*b**3 Find the third derivative of 5665962*t**2*x**3 + 4859*t**2*x + 3063*t*x**2 wrt x. 33995772*t**2 Find the third derivative of 2*w**6 - 48533578*w**4 - 5*w**2 + 27968371*w. 240*w**3 - 1164805872*w What is the first derivative of -7174*z**3 + 421*z**2 + 11320797 wrt z? -21522*z**2 + 842*z What is the derivative of -60575454*l**3*m*q + l**3*m + 2*l**3*q - 1695*l**2*q + 41*l*q - 5 wrt m? -60575454*l**3*q + l**3 Find the first derivative of 925*n**4 + 12*n**3 + n**2 - 5*n + 1955751. 3700*n**3 + 36*n**2 + 2*n - 5 What is the second derivative of -7*j**3 + 185932*j**2 - 47243204*j wrt j? -42*j + 371864 What is the second derivative of 14067143*c**2 - 494*c - 4610 wrt c? 28134286 Find the third derivative of -155*m**3*p**3 + 304522*m**3*p**2 - 1008*m**2*p**2 - 2*m**2 + 363*m*p**3 + 2*m wrt m. -930*p**3 + 1827132*p**2 What is the first derivative of 2*g**4 + 15*g**3 + 23257*g**2 + 2*g - 3636830 wrt g? 8*g**3 + 45*g**2 + 46514*g + 2 What is the derivative of 24304*m**3*o - 292*m**3 - 15040116*o wrt m? 72912*m**2*o - 876*m**2 What is the first derivative of -806*f**2*k**2 - 324946*f**2 - 5*f - 5017*k**3 wrt k? -1612*f**2*k - 15051*k**2 Find the second derivative of 184156922*y**2 + 35891749*y wrt y. 368313844 Find the second derivative of 40913183*l**5 - 1352*l + 4542 wrt l. 818263660*l**3 Find the third derivative of -2*w**6 - 180*w**4 + 69936*w**3 - 3359631*w**2 - 2*w wrt w. -240*w**3 - 4320*w + 419616 What is the second derivative of 78535003*g**3*h**5 + 2*g**3*h**2 + 239*g**3 - 42*g**2*h + 15*g*h - 4*g wrt h? 1570700060*g**3*h**3 + 4*g**3 Differentiate -8292490*u + 29678893 with respect to u. -8292490 What is the second derivative of 113*n**3*w**3 + 2*n**3 - 6298*n**2*w - 495*n*w**3 + 3*n*w**2 - 5*n*w + 7*w wrt w? 678*n**3*w - 2970*n*w + 6*n Find the first derivative of 32*j**2*t**2 - 5051*j**2*t + 22055*j**2 - 21*j*t**2 - 106*j + 3 wrt t. 64*j**2*t - 5051*j**2 - 42*j*t Differentiate 128019*d**2*w + 11*d*w - 30*w + 35580 with respect to d. 256038*d
{ "pile_set_name": "DM Mathematics" }
Suppose n + 36 = 5*l, -n = -2*n + 3*l - 30. Let q be 6/(n/8 + (-3)/(-1)). Calculate the highest common factor of q and 16. 16 Let c = -275 + 389. Let r be 8 - 1 - 4/2. Suppose r*u - c = -u. What is the highest common factor of 190 and u? 19 Let t be -191*(-4)/(-28) + 4/14. Let g = t - -40. Calculate the greatest common factor of 143 and g. 13 Suppose -q - m = m - 11, -3*q = m - 13. Suppose 5*f - l = q*l + 136, 141 = 5*f + l. What is the greatest common factor of f and 28? 28 Suppose 7*h + 162 = h. Let a = h - -107. Calculate the highest common divisor of a and 10. 10 Let t(z) = -z**3 - 3*z**2 + 6*z + 10. Let j be t(-4). Suppose 0 = j*o + 3*w - 153, 5*w + 21 = 3*o - 218. What is the highest common divisor of 26 and o? 26 Suppose -464*a = -455*a - 450. Calculate the greatest common factor of a and 90. 10 Let r be (0 + -1)/((-9)/117) + 0. What is the greatest common factor of r and 169? 13 Let s = -434 + 899. Calculate the greatest common factor of 15 and s. 15 Let d = 347 - 293. Calculate the highest common divisor of d and 126. 18 Let n(h) = -77*h - 211. Let p be n(-31). Calculate the highest common divisor of 68 and p. 68 Let w be ((-2)/2)/(-5 - 1312/(-264)). Suppose 4*n = w - 1. Calculate the highest common factor of n and 24. 8 Let i be 6*87/72 + 2/(-8). What is the highest common factor of i and 686? 7 Suppose 61*v - 95 = 58*v - w, 2*v = 3*w + 45. Calculate the highest common factor of v and 81. 3 Let b be (-6 - -7)*(-1 + 8). Let n = 62 + -41. What is the greatest common divisor of n and b? 7 Suppose -r + 3*a - 15 = 4*a, -5*a - 10 = 0. Let y = r - -21. Let x be y/24 - (-94)/6. What is the greatest common factor of 40 and x? 8 Let g(i) = i**2 + i + 260. Let v be g(0). Suppose -5*u - 220 = v. Let r be (27/(-6))/(9/u). Calculate the highest common divisor of r and 32. 16 Let n(s) = 3*s**2 - 3*s - 3. Let r be n(5). What is the greatest common factor of r and 513? 57 Let s(o) = -52*o + 3518. Let r be s(67). Let b = -3 - -1. Let x(g) = -119*g. Let f be x(b). What is the greatest common factor of r and f? 34 Suppose -4*x - 96 = -3*f, 0 = -2*f - 0*f + 3*x + 63. Let v = 15 + -27. Let d = v + 30. What is the greatest common factor of f and d? 18 Let u = 28 + 35. Suppose -68*p + 30 = -u*p. Let j(r) = -6*r. Let y be j(-3). Calculate the highest common divisor of y and p. 6 Suppose -4 = -4*p + 3*v, 0*v = 2*p + 3*v - 20. Calculate the greatest common divisor of p and 28. 4 Let v be (-1458)/15*100/(-30). Calculate the highest common factor of 36 and v. 36 Suppose 53*o - 4416 = 37*o. Calculate the highest common divisor of 12 and o. 12 Suppose 1971*w - 91 = 1970*w. Let n = 18 + -11. What is the greatest common divisor of n and w? 7 Let y be (-1 - -28)/(6/(-18)*-3). What is the greatest common factor of 351 and y? 27 Let f be (72/(-20) + 4)*210. Suppose -26*q + 94 + 218 = 0. Calculate the greatest common factor of f and q. 12 Suppose 161 = 9*n - 415. Calculate the greatest common divisor of 256 and n. 64 Let t(s) = -s**2 + 82*s + 55. Let w be t(33). Calculate the highest common divisor of 38 and w. 38 Suppose 0 = -v + 177 - 9. Let y be v/98*(-42)/4. Let g = y - -23. Calculate the highest common factor of 1 and g. 1 Suppose -d - 3*w = -25, 0*d - 4*d = -w - 35. Let c be (-354)/(-4) - 5/d. What is the highest common factor of c and 8? 8 Let p = 7889 + -3533. Let l be (p/(-144))/(((-1)/4)/1). Calculate the highest common divisor of 11 and l. 11 Let r be 84/(-504) - (-115)/6. What is the greatest common divisor of 703 and r? 19 Let u(a) = a**2 - 10*a + 2. Let c = -13 - -23. Let s be u(c). What is the highest common factor of s and 5? 1 Let t = -252 + 264. Calculate the greatest common divisor of 138 and t. 6 Let p be ((-36)/117)/2 - (-152)/(-26). Let g = -1 + 9. Let k be (-14 - 106)/(p/g). Calculate the highest common divisor of k and 32. 32 Let o(i) = -5*i**2 - 79*i + 27. Let w be o(-16). Suppose 4*d - 2*d + 5*q - 227 = 0, -2*d + 239 = q. Calculate the highest common factor of d and w. 11 Let y(s) = 10*s + 140. Let h be y(0). What is the highest common factor of h and 35? 35 Let q be (-1)/((-4)/(-6) + -1). Let i(t) = t**3 - t**2 + 5*t - 4. Let o be i(q). Suppose 447 - 3318 = -11*d. Calculate the highest common factor of o and d. 29 Suppose -2*t = t - 9. Suppose 2*g - 12 = -2*g + 2*d, 3*g = -t*d + 18. Suppose 5*r = g*r + 44. Calculate the highest common factor of 11 and r. 11 Let y(t) = t**3 - 4*t**2 - 2*t - 12. Let a be y(5). Suppose -a*r + 4*r - 32 = 0. Suppose -r = -0*u - u. What is the highest common factor of u and 96? 32 Suppose 0*h + 30 = 2*h. Suppose -9 = -5*z + b + h, 0 = 4*z + 4*b. What is the greatest common factor of 36 and z? 4 Suppose -2*y - 10*k + 6*k = -28, 3*y - 47 = -5*k. What is the greatest common divisor of y and 8? 8 Suppose -3*w + 32 = 62. Let p be (-4)/w - 5769/(-15). Calculate the highest common factor of 35 and p. 35 Suppose 17*z - 12*z - 230 = 0. Suppose 3*u - 43 = -5*k + 20, 2*u + 2*k = z. Calculate the greatest common factor of 26 and u. 26 Suppose 85*h + 24 = 87*h. What is the highest common divisor of h and 222? 6 Suppose 2*m + 2*m - 460 = 0. Suppose 2*d = 12*d - 150. Let q be 3/(-15) - (3 - 393/d). What is the greatest common divisor of m and q? 23 Let t = -68 + 73. Suppose -h - t + 22 = 0. Calculate the highest common divisor of h and 136. 17 Let x = -429 + 440. Calculate the highest common factor of x and 99. 11 Let s be (-2 - 5/(-2))*16. Let u(i) = 20*i - 10. Let b be u(s). Suppose -150 = -6*v + v. Calculate the greatest common divisor of v and b. 30 Let k = 199 - 99. What is the greatest common divisor of 60 and k? 20 Suppose -26*d = -3320 - 840. Let k(q) = -11*q - 1. Let z be k(-3). Calculate the greatest common divisor of z and d. 32 Suppose q = -q + 24. Calculate the greatest common factor of q and 48. 12 Let c(v) = -6*v - 21. Let b be c(-7). Let n = b + -19. Suppose -3*f - 34 = -5*l - 4*f, -5*l = -n*f - 22. What is the greatest common divisor of l and 42? 6 Let c(k) = 2*k - 2. Let d(a) = a - 1. Let f(p) = -3*c(p) + 7*d(p). Let g be f(-3). Let r = g + 19. What is the highest common factor of 15 and r? 15 Let z = 168 - 4. Calculate the greatest common factor of 41 and z. 41 Suppose -93 + 90 = -3*o. What is the highest common factor of o and 23? 1 Let p = -62 + 63. Suppose -5*h = -4*a - 4, -a + 7 = 3. Suppose 2*v + d - 1 = 13, h*d - 21 = -3*v. What is the greatest common divisor of p and v? 1 Let y be (-2)/(-6) + 2/(-6). Suppose 5*a - 12*a + 14 = y. What is the greatest common factor of a and 1? 1 Let f be (-28)/14 - (-1 - 118). Suppose -8*v - f = -11*v. Let s = -17 + v. What is the highest common divisor of 11 and s? 11 Suppose 3*i + 2*x = i + 24, 0 = 4*i + 5*x - 52. What is the greatest common factor of 24 and i? 8 Let n be ((-1)/(-3)*3)/((-3)/(-780)). What is the highest common factor of n and 442? 26 Let o be (-6)/(-1 - (-3)/(-6)). Suppose 0 = -2*g + 10 - 4. Suppose -g*d + o*d = 3. Calculate the greatest common divisor of 33 and d. 3 Suppose 0 = -30*a + 20*a + 120. What is the highest common factor of a and 282? 6 Let x = 2326 + -2254. Let g(n) = n**2 - 5*n - 6. Let m be g(7). Calculate the greatest common divisor of x and m. 8 Suppose -6*k + 11 = 17. Let c = k + 25. Calculate the highest common divisor of c and 216. 24 Let v = 218 - 206. Suppose 5*i + 2*y - 45 = 3*y, 5*i = -2*y + 30. What is the highest common factor of i and v? 4 Let r be 1*130 - (-2 - 0). Let p be (4/(-8) - -2) + 27/6. Suppose -p*m = -0*m - 72. What is the greatest common factor of m and r? 12 Suppose 2*h = -8*n + 6*n + 24, 50 = 4*h + 3*n. Let z(i) = 48*i + 2. Let q be z(2). What is the greatest common divisor of q and h? 14 Let r(m) = m**2 - 10*m - 9. Let q be r(12). Let n be 152/2*1/2. Let y = -23 + n. What is the greatest common factor of q and y? 15 Let x = -297 + 717. What is the greatest common factor of 240 and x? 60 Let z(a) = a**3 - 5*a**2 + 9*a - 5. Let w be z(6). Suppose -n - 104 = -4*l + 3*n, 4*n - w = -3*l. Calculate the highest common factor of l and 3. 3 Suppose j + 4*u - 7 = 0, -5*j + u - 4*u = -120. Let f = 532 - 514. Calculate the highest common factor of j and f. 9 Let r = -105 + 303. Suppose 0 = 5*p - 3*q - 35 - 46, 3*p + 2*q - 60 = 0. What is the highest common divisor of r and p? 18 Suppose 10 = -k + 42. Let y(j) = -6*j - 13.
{ "pile_set_name": "DM Mathematics" }
t is next in -52, -181, -374, -625, -928? -1277 What comes next: 31901, 63806, 95711? 127616 What comes next: -734, -759, -776, -779, -762? -719 What comes next: -1363, -5033, -11149, -19711? -30719 What is next in 127, 1541, 3901, 7207, 11459, 16657? 22801 What comes next: -180, -701, -1568, -2775, -4316, -6185, -8376, -10883? -13700 What is next in -491021, -491031, -491041, -491051, -491061? -491071 What comes next: 13198, 26393, 39588, 52783? 65978 What is next in 826, 3143, 7004, 12409? 19358 What comes next: 359, 807, 1349, 1979, 2691, 3479, 4337, 5259? 6239 What is the next term in -463184, -926367, -1389550, -1852733? -2315916 What is the next term in -38828, -77653, -116478? -155303 What is next in 40090, 160366, 360834, 641500, 1002370? 1443450 What is the next term in -595, -1276, -3131, -6748, -12715, -21620, -34051? -50596 What is next in -67, -240, -503, -856? -1299 What is the next term in -1790, -3542, -5294, -7046, -8798, -10550? -12302 What is the next term in -58, -243, -660, -1399, -2550? -4203 What is the next term in 319, 1686, 4099, 7558, 12063, 17614, 24211? 31854 What is next in -139, -271, -377, -451, -487, -479, -421? -307 What is next in 244, 40, -300, -776, -1388? -2136 What is next in 825, 1590, 2355, 3120, 3885? 4650 What is the next term in 896, 899, 906, 917? 932 What is next in 12611, 12618, 12625, 12632? 12639 What is next in 301, 280, 259, 238, 217? 196 What is next in -35609, -35625, -35651, -35687, -35733, -35789? -35855 What is the next term in 4609, 4623, 4643, 4675, 4725, 4799, 4903? 5043 What comes next: 624694, 624691, 624688, 624685? 624682 What is the next term in -5, -159, -585, -1421, -2805, -4875, -7769? -11625 What comes next: -4059, -4065, -4081, -4113, -4167, -4249? -4365 What comes next: 18021, 18014, 18007, 18000? 17993 What is the next term in 549, 2224, 5015, 8922? 13945 What is next in -1705, -1418, -1131, -844, -557, -270? 17 What is the next term in 772, 746, 674, 532, 296, -58, -554? -1216 What is the next term in -1599, -6514, -14717, -26202, -40963, -58994? -80289 What is the next term in -425, -638, -897, -1226, -1649? -2190 What is the next term in -2167, -8635, -19421, -34531, -53971, -77747? -105865 What comes next: -434, -1756, -3954, -7022, -10954, -15744, -21386, -27874? -35202 What is the next term in -2399, -4548, -6697, -8846, -10995, -13144? -15293 What comes next: 9193, 18346, 27495, 36634, 45757, 54858? 63931 What is next in 115522, 231015, 346508, 462001, 577494? 692987 What comes next: 4391, 17559, 39507, 70235, 109743, 158031? 215099 What is the next term in -130802, -130803, -130804, -130805, -130806? -130807 What is next in -1092, -2185, -3278? -4371 What is next in -47526, -95049, -142576, -190107, -237642, -285181? -332724 What is next in -18051, -18056, -18061, -18066, -18071, -18076? -18081 What comes next: 1101, 2300, 3499, 4698, 5897, 7096? 8295 What is the next term in -2788, -2825, -2824, -2767, -2636, -2413, -2080, -1619? -1012 What is the next term in 282, 308, 378, 498, 674, 912, 1218, 1598? 2058 What comes next: 580, 1107, 1576, 1987? 2340 What is the next term in 28794, 57435, 86076, 114717, 143358, 171999? 200640 What is next in 5526, 22120, 49776, 88494? 138274 What is next in 3059, 3648, 4631, 6008? 7779 What is next in 128, 132, -82, -622, -1596? -3112 What comes next: 219443, 219449, 219457, 219467? 219479 What is next in -13907, -27804, -41691, -55568, -69435, -83292? -97139 What is next in 237, 1890, 6377, 15114, 29517? 51002 What is the next term in 73766, 147528, 221290, 295052, 368814, 442576? 516338 What is the next term in -724863, -724864, -724865, -724866, -724867, -724868? -724869 What comes next: 6396, 12935, 19474? 26013 What is next in 13517, 54143, 121873, 216707, 338645, 487687? 663833 What comes next: -909, -1827, -2745? -3663 What is next in 164, 64, -36, -136, -236, -336? -436 What comes next: -293, -564, -857, -1178, -1533, -1928, -2369, -2862? -3413 What comes next: -2141, -4283, -6439, -8615, -10817, -13051, -15323, -17639? -20005 What comes next: -1422, -1440, -1458? -1476 What comes next: 609, 1210, 1811, 2412, 3013, 3614? 4215 What comes next: -152, -377, -600, -821, -1040, -1257, -1472? -1685 What is the next term in 1343, 10739, 36257, 85961, 167915, 290183? 460829 What comes next: -8990, -8463, -7936, -7409, -6882? -6355 What comes next: 3084, 3091, 3094, 3093? 3088 What is the next term in -2407, -9661, -21759, -38701, -60487, -87117, -118591? -154909 What is next in 1212, 2120, 3028, 3936, 4844, 5752? 6660 What is next in 219, 181, 87, -87, -365, -771? -1329 What is next in 228, 466, 716, 978, 1252? 1538 What is the next term in 3485, 6978, 10471, 13964, 17457? 20950 What is next in -893, -7023, -23653, -56033, -109413? -189043 What comes next: 2548, 2561, 2588, 2635, 2708, 2813, 2956? 3143 What is the next term in -2208, -2225, -2250, -2283, -2324, -2373? -2430 What comes next: 98, 152, 98, -118, -550, -1252? -2278 What is the next term in 6472, 6549, 6674, 6847? 7068 What is next in 16694, 33351, 49996, 66623, 83226, 99799, 116336, 132831? 149278 What is the next term in 263239, 263231, 263217, 263197, 263171, 263139? 263101 What is the next term in 1460, 2924, 4410, 5930, 7496? 9120 What is next in -2173543, -4347087, -6520631? -8694175 What is next in 74058, 148115, 222172, 296229, 370286? 444343 What is next in 22, 53, 68, 37, -70, -283? -632 What comes next: 1205, 1251, 1297, 1349, 1413, 1495, 1601, 1737? 1909 What is the next term in -2323330, -4646660, -6969990, -9293320? -11616650 What is the next term in -3170, -3144, -3096, -3014, -2886, -2700, -2444? -2106 What comes next: -65, -596, -2073, -4970, -9761? -16920 What is the next term in 10275, 20542, 30785, 40998, 51175, 61310, 71397? 81430 What is the next term in 696, 962, 1382, 1950, 2660, 3506, 4482? 5582 What is next in -217, -426, -629, -826, -1017, -1202, -1381? -1554 What is next in -56, 205, 910, 2281, 4540, 7909, 12610, 18865? 26896 What comes next: -6423, -12830, -19237? -25644 What is next in -48, -75, -88, -87? -72 What is the next term in 302, 398, 576, 848, 1226, 1722? 2348 What is next in -153018, -153019, -153020? -153021 What is the next term in 177, 680, 1513, 2676, 4169, 5992? 8145 What comes next: 7173, 14316, 21457, 28596? 35733 What is next in 8470, 33743, 75866, 134839? 210662 What comes next: -19, -136, -353, -682, -1135, -1724, -2461, -3358? -4427 What is the next term in 773, 3066, 6889, 12242, 19125? 27538 What is the next term in -693026, -1386065, -2079118, -2772191, -3465290? -4158421 What comes next: -21, -34, -45, -54, -61, -66? -69 What is next in -2273, -2297, -2355, -2465, -2645, -2913, -3287, -3785? -4425 What comes next: 1087, 1103, 1135, 1189, 1271, 1387, 1543, 1745? 1999 What is the next term in -16439, -32871, -49303, -65735? -82167 What is next in 205, 617, 1315, 2305, 3593, 5185, 7087, 9305? 11845 What comes next: -10578, -21135, -31704, -42291, -52902, -63543? -74220 What is next in 85459, 170930, 256403, 341878, 427355, 512834, 598315? 683798 What comes next: -3662423, -3662420, -3662415, -3662408, -3662399, -3662388, -3662375? -3662360 What comes next: -323, -212, -101, 10, 121? 232 What is next in -148, -1104, -3704, -8770, -17124, -29588, -46984? -70134 What is the next term in -11, 19, 77, 169, 301, 479, 709, 997? 1349 What is next in 17, -25, -231, -715, -1591? -2973 What is the next term in -21934, -87720, -197362, -350860, -548214, -789424? -1074490 What is next in -8029, -8140, -8237, -8314, -8365, -8384? -8365 What is the next term in -296, -268, -200, -80, 104, 364, 712, 1160? 1720 What comes next: 10866, 21736, 32606? 43476 What is next in -9, -326, -951, -1884, -3125, -4674? -6531 What is the next term in -690, -2836, -6412, -11418, -17854, -25720, -35016? -45742 What is next in 187, 312, 339, 220, -93, -648, -1493, -2676? -4245 What comes next: 5313, 5303, 5293, 5283, 5273, 5263? 5253 What comes next: -158695, -158694, -158693, -158692, -158691? -158690 What is the next term in -10354, -20705, -31056, -41407, -51758? -62109 What is the next term in -38, -781, -2808, -6761, -13282, -23013? -36596 What comes next: -1324, -1243, -1108, -919, -676, -379? -28 What comes next: -204482, -204480, -204478?
{ "pile_set_name": "DM Mathematics" }
econd derivative of -3*k - 26404 + k - 2737*k**2 + 24627 wrt k. -5474 Let p(s) be the first derivative of 7*s**4/4 - 15*s**2/2 + 95*s + 118. Let t(i) = 8*i**3 - 13*i + 93. Let v(x) = -5*p(x) + 6*t(x). Differentiate v(l) wrt l. 39*l**2 - 3 What is the derivative of 17*p**2 + 14*p**2 - 24*p**2 - 1532 + 403 + 309*p wrt p? 14*p + 309 Let v(d) be the third derivative of 531*d**7/70 - 941*d**4/12 + 262*d**2 + 5*d. Find the second derivative of v(b) wrt b. 19116*b**2 Suppose -218 - 3731 = -11*g. Find the second derivative of 92*q + 62*q - 795*q**2 + g*q**2 + 389*q**2 wrt q. -94 Let c(p) = -2415*p**3 - 78*p**2 + 18*p - 18. Let o(r) = -2416*r**3 - 80*r**2 + 19*r - 21. Let v(a) = 7*c(a) - 6*o(a). Find the third derivative of v(s) wrt s. -14454 Find the third derivative of 0*k**3 - 2 + k**3 + 3*k**3 - 41*k**2 + 93*k**4 + 137*k**2 - 30*k**2 wrt k. 2232*k + 24 Let c(t) be the first derivative of -714*t**5 + t**3/3 + 47*t**2/2 + t - 14375. Find the third derivative of c(x) wrt x. -85680*x Suppose -148 = 40*c - 41*c. Find the second derivative of 3509*b**3 - 102*b**4 - 3509*b**3 + c*b wrt b. -1224*b**2 Let p = -212 - -216. What is the first derivative of i + 6*i - 114*i**p + 13 + 115*i**4 wrt i? 4*i**3 + 7 Let t(v) be the second derivative of 253*v**3/3 - 536*v**2 - 178*v + 3. Differentiate t(j) wrt j. 506 Let r be ((-6)/5)/(3/(-15)). Suppose -45 = -32*d + 27*d. Find the second derivative of -6*f - 3*f - r*f + f**5 + d*f wrt f. 20*f**3 Let i(r) be the second derivative of 19*r**6/30 + 33*r**5/10 + r**4/12 - 483*r**2/2 + 106*r + 8. What is the third derivative of i(s) wrt s? 456*s + 396 Let u(n) be the first derivative of 0*n - 11/6*n**6 - 17/3*n**3 + 72 + 0*n**2 - 3/5*n**5 + 0*n**4. Find the third derivative of u(o) wrt o. -660*o**2 - 72*o Let p(q) = -q**2 - 7*q + 15. Let g be p(2). Let j be (1 - g) + 1 - (-9)/(-3). Differentiate -52*a**j + 9 + 15*a**2 + 15 + 23 wrt a. -74*a Suppose 3*g - 3 = 0, 9*l - 7*l - 37 = -3*g. What is the first derivative of -4*v**4 - 13*v**4 + 54 - l*v**4 wrt v? -136*v**3 Let l(f) = 3*f**2 - 1. Let m(h) = -59*h**3 + 106*h**2 + 6. Let c = -150 - -149. Let j(z) = c*m(z) - 6*l(z). What is the third derivative of j(n) wrt n? 354 Find the second derivative of 7135*x - 2689*x - 2735*x**4 - 42*x**4 wrt x. -33324*x**2 Let o = 231 + -198. Find the second derivative of 19*x**4 - 81*x + o*x - 45*x - 3*x wrt x. 228*x**2 Let t(j) be the first derivative of 36*j + 1/3*j**3 - 1/2*j**2 + 8*j**4 - 17. Find the second derivative of t(s) wrt s. 192*s + 2 Let z(x) = 5*x - 4 - 5*x + 6 + 2*x. Let k be z(0). Differentiate -9*w**k - 6*w**2 + 3 + 5 + 0*w**2 wrt w. -30*w Let h be (-2 + 1 + 2)/(2/6). Differentiate 26*v**h + 138 - v - 20 - 13*v**3 with respect to v. 39*v**2 - 1 Let u(d) = -d**3 - 22*d**2 - 22*d - 15. Let f be u(-21). Let o = 2 - 0. What is the derivative of 7 + 3 + o - f - 6*b wrt b? -6 Let n(x) be the second derivative of 1/12*x**4 - 68*x + 3/20*x**5 + 0*x**3 + 33*x**2 + 0. What is the derivative of n(p) wrt p? 9*p**2 + 2*p Let d(y) = -y**3 - 5*y + 1. Let j(n) = n**3 - 115*n**2 - 25*n - 3297. Let s(g) = -5*d(g) + j(g). What is the derivative of s(v) wrt v? 18*v**2 - 230*v Let o = -47/10 + 161/30. Let p(b) be the first derivative of -5/3*b**6 + 0*b**2 + 2 - o*b**3 + 0*b**4 + 0*b**5 + 0*b. Find the third derivative of p(c) wrt c. -600*c**2 Let k(b) = 2*b**4 - b**3 + b**2 - b. Let l(z) = 179*z**4 + 4*z**3 + 3*z**2 + 13*z. Let x(i) = -4*k(i) - l(i). What is the third derivative of x(m) wrt m? -4488*m What is the third derivative of -22787*k**3 + 22789*k**3 - 19*k**2 - 21*k**6 - 17*k**2 + 7 wrt k? -2520*k**3 + 12 Let u(b) = -2*b**2 + 8*b. Let g be u(6). Let o be ((-8)/3)/(-4*(-4)/g). What is the second derivative of 9*j + 47*j**4 - 29*j**o - 42*j**4 + 12*j wrt j? -288*j**2 Let l be (-43)/((-1 - 1) + 1). Differentiate l*n**4 - 34 - 5 + 49 wrt n. 172*n**3 Let p = 1016 - 1012. Let m(k) be the first derivative of 18 - 8/5*k**5 + 11*k + 0*k**p + 0*k**3 + 0*k**2. Differentiate m(l) wrt l. -32*l**3 Suppose -3 - 18 = -2*r + 3*w, 5*r = 4*w + 35. Let k be (r - -1)*(1 + 2/(-4)). What is the third derivative of -k*d**5 + 5*d**5 - 5*d**2 + 12*d**5 wrt d? 900*d**2 Let p = -70 + 64. Let o be -2 + (-21)/p - (-78)/4. Find the second derivative of 82*w - 158*w + 102*w + o*w**3 wrt w. 126*w Let t(i) = 1394*i**3 + 239*i**2 + 26*i. Let l(d) = 1394*d**3 + 236*d**2 + 23*d. Let q(m) = -10*l(m) + 9*t(m). What is the third derivative of q(k) wrt k? -8364 Let a be (0/(-4 + 8 + -2 + 2))/1. Let s(k) be the first derivative of -5/3*k**3 + 20 + 5*k**4 + a*k**2 + 0*k. What is the third derivative of s(t) wrt t? 120 Let g(n) be the first derivative of 3*n**7/7 - n**6/3 + 1229*n**4/4 - 2*n**3/3 + 520*n + 10966. Find the third derivative of g(b) wrt b. 360*b**3 - 120*b**2 + 7374 Let w(g) be the first derivative of 43*g**4/24 + 14*g**3/3 + 37*g**2/2 + 27. Let l(a) be the second derivative of w(a). Differentiate l(u) wrt u. 43 Let p(n) be the third derivative of 661*n**6/60 - n**5/60 - 1561*n**3/6 - 2*n**2 + 364. Find the third derivative of p(c) wrt c. 7932 Let r(x) = 106*x**4 - 4*x**3 - 8*x + 52. Suppose 59 = 12*p + 107. Let c(g) = -g**3 - 2*g. Let a(j) = p*c(j) + r(j). What is the first derivative of a(o) wrt o? 424*o**3 Let s(q) be the third derivative of -q**9/63 - q**8/168 - 132*q**5/5 - 91*q**2 - 7*q. Find the third derivative of s(l) wrt l. -960*l**3 - 120*l**2 Let o(q) be the first derivative of 461*q**5/5 - 35*q**2/2 - 5*q + 630. What is the second derivative of o(j) wrt j? 5532*j**2 Let f = -3 - -57. Let j(a) = 71 + f + 7*a - 93. Let h(g) = -5*g - 21. Let q(m) = 8*h(m) + 5*j(m). Differentiate q(k) with respect to k. -5 Let r(d) = 45*d + 2. Let k be r(1). Let b = -44 + k. Differentiate -5 + 193*a - 9*a**b - 193*a with respect to a. -27*a**2 Find the second derivative of 660*v - 11*v**2 - 54732*v**5 - 3*v**4 + 3*v**4 + 54710*v**5 wrt v. -440*v**3 - 22 Suppose 0 = -x - 4*k - 6, -5*x + 2*k + 8 = 3*k. What is the third derivative of -27*i**2 - 62*i**2 - 56*i**4 + 118*i**x wrt i? -1344*i Suppose -165 = 5*a + y - 23, -3*a - 82 = -y. Let u = 35 + a. Find the third derivative of -u*k**2 + 9*k**5 + 2*k**2 - 13*k**2 wrt k. 540*k**2 Suppose -253*p = -256*p + 6. Find the first derivative of 7*i + 2*i**p + 127 + 10*i - 31*i + 13*i wrt i. 4*i - 1 Let z(a) be the third derivative of 1645*a**4/24 + 178*a**3 - 2*a**2 + 18*a - 1. Differentiate z(g) wrt g. 1645 Let i(n) be the first derivative of n**4/4 + 1877*n**3/3 + 8406*n + 4444. What is the derivative of i(k) wrt k? 3*k**2 + 3754*k Let h(m) be the first derivative of -45*m**7/7 - 5*m**6/2 - 53*m**3/3 + m**2/2 + 1301. Find the third derivative of h(c) wrt c. -5400*c**3 - 900*c**2 Let t(x) = 20375*x**2 - 73*x - 500. Let d(k) = -4075*k**2 + 14*k + 100. Let n(u) = -31*d(u) - 6*t(u). What is the second derivative of n(a) wrt a? 8150 Let r(s) = 2*s + 20. Let v be r(3). What is the second derivative of 41*m + 2 + v*m**2 - 9*m**2 + 2*m**4 + 47*m**3 - 4 - 17*m**2 wrt m? 24*m**2 + 282*m Let o(y) = -9602*y**3 - 863*y**2 - 7*y + 5. Let j(z) = -6401*z**3 - 576*z**2 - 5*z + 4. Let c(h) = 7*j(h) - 5*o(h). What is the third derivative of c(b) wrt b? 19218 Suppose -157 = -3*b - 37. Let i be ((-18)/5)/((-6)/45). What is the second derivative of 8*l**5 + b*l**5 + i*l - 93*l**2 + 93*l**2 wrt l? 960*l**3 Let z(m) be the second derivative of 0*m**2 - 14 - 3/2*m**3 - 5/2*m**5 - 2*m + 1/12*m**4. What is the third derivative of z(r) wrt r? -300 Let k(v) be the first derivative of 201*v**4/4 + 2*v**3/3 - 1092*v - 922. Find the first derivative of k(j) wrt j. 603*j**2 + 4*j Let o = -13 + 11. Let a(b) = 465*b + 816. Let w(h) = -29*h - 51. Let u(y) = o*a(y) - 33*w(y). Differentiate u(r) wrt r. 27 Find the third derivative of 98*v**3 - 316*v**3 - 100*v**3 - 2*v**4 + 5*v**5 + 12739*v**2 wrt v. 300*v**2 - 48*v - 1908 Let l(i) be the first derivative of -49*i**6/3 + 7*i**4/4 - 1455*i**2 - 2467. Find the second derivative of l(a) wrt a. -1960*a**3 + 42*a Let k(m) be the third derivative of 1663*m**8/84 + m**5/12 - 5*m**4/24 + 7*m**3/6 + 2*m**2 - 11*m + 96. Find the third derivative of k(t) wrt t. 399120*t**2 What is the third derivative of 319*x + 3*x**2 - 11299*x**6 - 9*x + 152*x + 17873*x**6 wrt x? 788880*x**3 Let f(r) = -697*r**2 + 51*r. Let h(k) = -1396*k**2 + 9
{ "pile_set_name": "DM Mathematics" }
72*p**4 - 1 Let q(s) be the second derivative of s**2/2 - 12*s + 1. Let f(t) = 8*t - 3. Let r(u) = -f(u) - 4*q(u). Let x(h) = -h. Give x(r(d)). 8*d + 1 Let d be (-8)/20 - (-148)/20. Let g be (-3*1)/3 + (10 - d). Let h(o) = 1213 - 5*o**g - 1213. Let s(n) = -5*n**2. Give s(h(b)). -125*b**4 Let q(s) = -2970223*s**2. Let g(n) = 4*n**2. Calculate g(q(u)). 35288898678916*u**4 Let u(w) = -264375*w**2 - 2*w. Let o(v) = 11*v. Determine o(u(z)). -2908125*z**2 - 22*z Let n(x) = -25 - 2*x**2 + 11 - 3*x**2. Let d(s) = 277900 - 277900 - s. Determine d(n(u)). 5*u**2 + 14 Let v be 69/(-115) + (66/(-5))/3. Let a(n) = -n. Let y(l) = -l. Let i(k) = v*y(k) + 3*a(k). Let d(x) = 22*x. What is d(i(z))? 44*z Let r(v) = v**2. Let w(k) be the first derivative of 6661*k**2 + 8282. Give w(r(b)). 13322*b**2 Let u(z) = z - 40. Let m(n) = 32. Let p(d) = -5*m(d) - 4*u(d). Let b(i) = 3*i**2 - i. Determine b(p(l)). 48*l**2 + 4*l Let x(d) = -1514*d. Let u(p) = 17*p + 3. Let m(z) = -72*z - 13. Let q(o) = 3*m(o) + 13*u(o). Determine x(q(r)). -7570*r Let s(k) = -141*k - 138*k + 538*k - 130*k - 133*k. Let f(z) be the second derivative of 5*z**4/2 - z. Determine f(s(r)). 480*r**2 Let x(t) be the third derivative of 5*t**4/12 + 5*t**3/3 - 61*t**2. Let i(v) = v + 2. Let f(o) = -5*i(o) + x(o). Let n(b) = -15*b. What is n(f(y))? -75*y Let v(y) = 7*y + 2. Suppose 746 = 59*n - 58*n. Let o(k) = 2*k - 746 - k + n. Calculate v(o(b)). 7*b + 2 Let j(f) = 65465*f - 5. Let n(m) = m + 6. Calculate j(n(q)). 65465*q + 392785 Let l(t) be the second derivative of 9*t**4 + t**2 + 2*t. Let f(q) = 46*q + 2. Let p(b) = -114*b - 5. Let m(v) = 5*f(v) + 2*p(v). Determine m(l(g)). 216*g**2 + 4 Let i(d) = 5*d - 2. Let s be 10/6*6/(-2). Let b be (-7)/((s/5)/3). Let n(w) = -b*w - 26*w + 47*w - w**2. Give n(i(v)). -25*v**2 + 20*v - 4 Let m(z) = -4*z. Let n(p) = 40*p + 6. Let d(w) = -39*w - 5. Suppose -3*k - 16 + 1 = 0. Let g(j) = k*n(j) - 6*d(j). Give g(m(y)). -136*y Let u(b) = -7*b + 115. Let a be u(16). Let y(z) = a*z - 4 + 3 + 4 - 3. Let w(i) = -167*i**2. Give w(y(m)). -1503*m**2 Let s(p) = 949711*p**2. Let m(w) = w. Determine s(m(t)). 949711*t**2 Let w(c) = 7*c**2. Let u(j) = -14*j**2 - 8*j + 8. Let q(g) = -3*g + 105 - 3*g**2 - 4*g**2 + 2*g**2 - 102. Let v(p) = -8*q(p) + 3*u(p). What is w(v(f))? 28*f**4 Let r(v) = -7506158*v**2. Let h(m) = -20*m. Calculate r(h(d)). -3002463200*d**2 Let m(s) = 28*s + 3. Let t(a) = 4239*a. Calculate t(m(k)). 118692*k + 12717 Let a(g) = 471585*g. Let w(l) = 289*l. Determine w(a(r)). 136288065*r Let t(h) = 9*h**2. Let a = 51 - 40. Let b(w) = 5*w - a*w + 0*w. Give t(b(s)). 324*s**2 Let r(s) = 5*s. Let n(t) = -4*t - 59429. Calculate n(r(o)). -20*o - 59429 Let g(b) = -254*b**2. Let r(p) be the third derivative of 0*p**4 - 83*p**2 + 0*p**3 + 1/30*p**5 + 0 + 0*p. What is r(g(y))? 129032*y**4 Let q(v) = -564*v + 3593. Let g(a) = -18*a. What is q(g(r))? 10152*r + 3593 Let w(x) = 22*x. Let k be -7*(78/21 - 4). Suppose -3*c + 8*c + 5*i - 25 = 0, 2*c - k = 2*i. Let p(s) = c*s + 4*s - 5*s. Give w(p(h)). 44*h Let s(q) = -367816*q**2 - 10. Let r(k) = -18*k**2. Give s(r(j)). -119172384*j**4 - 10 Let w(r) = -6*r + 8. Let b(n) = -57910*n. Give b(w(t)). 347460*t - 463280 Let v(p) = -7*p**2. Let t(g) = 2*g - 915336. Calculate t(v(x)). -14*x**2 - 915336 Let x(g) be the third derivative of -g**5/4 - 1948*g**2. Let p(i) = -2*i - 48. Give x(p(n)). -60*n**2 - 2880*n - 34560 Let r(y) = 3*y. Let p(b) = -5648*b. Let g(x) = 1129*x. Let v(k) = 11*g(k) + 2*p(k). Determine v(r(j)). 3369*j Let b(i) be the third derivative of i**5/30 - 59*i**3/3 - 8*i**2 + 48. Let x(l) = 18*l**2. Give b(x(s)). 648*s**4 - 118 Let y(x) = 2*x**2 + x - 18. Let q be y(4). Let a(h) = -5*h - 9. Let k(w) = -w - 2. Let r(t) = q*k(t) - 4*a(t). Let o(n) = -13*n**2. Give r(o(p)). -26*p**2 Let b(t) = 166*t**2. Let y(x) be the second derivative of x**3/2 - 1813*x. Calculate b(y(p)). 1494*p**2 Let v(o) = -556 - 8*o - o - 343 + 0*o + 11*o. Let m(i) = -3*i. Determine v(m(z)). -6*z - 899 Suppose -2*w + k = -0*k - 3, -4*w + 3*k = -5. Let i(u) = -3*u**w + 9*u**2 + 0*u**2. Let q(o) = 5*o**2 - 25*o**2 + 27*o**2. What is i(q(h))? 294*h**4 Let h(d) = 2858*d**2 - 5*d + 5. Let f(v) = -8*v - 2. Calculate f(h(s)). -22864*s**2 + 40*s - 42 Let p(f) = 4*f**2. Let g(s) be the second derivative of -s**4/12 + 40*s**3/3 - 31*s + 2. Give g(p(j)). -16*j**4 + 320*j**2 Let r(j) = -49*j - 2313184 + 2313184. Let q(o) = 3*o**2 - 14*o. Determine q(r(n)). 7203*n**2 + 686*n Let k(m) = -577 - 2*m**2 + 1192 - 615. Let z(p) = 24906*p**2. Determine k(z(q)). -1240617672*q**4 Let l(r) = r. Suppose -67*t + 24 = -63*t. Let i(q) = 21*q - 26. Let j(p) = 11*p - 14. Let b(w) = t*i(w) - 11*j(w). Calculate b(l(d)). 5*d - 2 Let k(p) = -137*p**2. Let u(q) = 7488055*q. Determine k(u(c)). -7681722572574425*c**2 Let s(d) = -101*d**2 - 2*d + 1. Let z(g) = 178*g + 3. Determine s(z(f)). -3200084*f**2 - 108224*f - 914 Let b(t) = 12*t + 22. Let l(g) = -2*g - 10. Let v(z) = 17*z + 80. Let f(s) = -24*l(s) - 3*v(s). Determine b(f(x)). -36*x + 22 Let y(v) = -2*v**2 - 23. Let t be 2 - 18/4*-2. Let w(o) = -o + t*o - 7*o. Give w(y(s)). -6*s**2 - 69 Let y(m) = 1646 - 3243 - 12*m + 1591. Let q(d) be the second derivative of d**3/2 - d. What is y(q(o))? -36*o - 6 Let m = -7286 - -15461. Let i(g) = m - 8175 + 5*g. Let j(l) = 20*l. Give j(i(s)). 100*s Let q(u) = 6*u. Suppose 16*g = 4*g - 1404. Let x = 120 + g. Let r(s) = -7*s**2 + 2*s**2 + x*s**2. What is r(q(h))? -72*h**2 Let b(i) = 10*i**2 - 1. Let k(m) = -80*m + 186*m - 78*m. Determine b(k(r)). 7840*r**2 - 1 Let s(d) = -6*d + 123414. Let i(o) = 140*o. Determine s(i(u)). -840*u + 123414 Let h = 16424 + -16392. Let f(t) be the first derivative of 1/3*t**3 + h + 0*t + 0*t**2. Let x(u) = -22*u. Calculate x(f(j)). -22*j**2 Let l(x) = -x. Let a(j) = -8376981*j**2. What is a(l(w))? -8376981*w**2 Let m(r) = -1163*r**2. Let p(y) = -2*y - 11. Let w(h) = -5*h - 44. Let t(d) = -12*p(d) + 3*w(d). Determine m(t(l)). -94203*l**2 Let v(w) = -5*w. Let z(f) = 18*f + 1. Let s(k) = 8*v(k) + 3*z(k). Let a(m) = 72*m + 16. Let d(g) = 3*a(g) - 16*s(g). Let i(j) = 3*j. Give i(d(u)). -24*u Let k(p) = 66*p + 11. Let c(i) = -22*i - 4. Let b(v) = -11*c(v) - 4*k(v). Let z(y) = -69*y + 33*y + 6*y**2 + 36*y. Give z(b(o)). 2904*o**2 Let p(d) = -1941*d**2. Let s(g) = -73598*g**2. Determine p(s(l)). -10513747937364*l**4 Let b(m) = 56*m - 5. Let n(r) = -68*r - 58. Determine b(n(o)). -3808*o - 3253 Let x(s) = 16*s**2. Let w(c) be the first derivative of 26*c**2 + 7121. Give x(w(u)). 43264*u**2 Let m(s) be the second derivative of s**3/2 + 29*s**2/2 - 8*s. Let i be (20/(-4) - -2)/(18/(-12)). Let h(j) = -2 + 5 - 3 - 2*j**i. Give h(m(p)). -18*p**2 - 348*p - 1682 Let q(y) be the third derivative of y**4/24 - 26*y**2 + 4. Let a(h) be the second derivative of 3*h**3/2 - h. Give a(q(c)). 9*c Let f(l) = -161*l. Let r(w) be the third derivative of 7*w**5/20 - 6*w**2 - 4*w + 6. Give f(r(y)). -3381*y**2 Let j(k) = 58919602*k**2. Let f(y) = -3*y**2. Calculate j(f(v)). 530276418*v**4 Let g(t) = t**3 - 3*t - 1. Let j be g(3). Let m(h) = -39 + 22 + j + h**2. Let u(q) = 3*q + 0*q - 5*q. Calculate m(u(s)). 4*s**2 Let o(q) = -19*q**2 - 1. Let g(b) = 8*b - 4. Let h(p) = -10*p + 3. Let r(m) = 3*g(m) + 4*h(m). Give o(r(l)). -4864*l**2 - 1 Let p(c) = -5*c**2. Let s(t) = -5*t - 76. Let q be s(-16). Suppose 9*i - 5 = 8*i. Let x(v) = -i*v - q*v - 2*v. Determine x(p(g)). 55*g**2 Let y(q) = 8146*q + 17053. Let z(s) = -s**2. Calculate y(z(n)). -8146*n**2 + 17053 Let j(m) = 1429*m. Let o(g) = -5284*g + 2. What is j(o(t))? -7550836*t + 2858 Let g = 61 - 41. Let c(a) = 6*a + 45 - g - 25. Let b(v) be the third derivative of -v**5/30 - v**2. Give b(c(p)). -72*p**2 Let c(g) = 24*g. Let a(u) be the second derivative of u**5/120 + 23*u**3/3 + 3*u - 6. Let h(z) be the second derivative of a(z). Calculate h(c(j)). 24*j Let t(l) = -59*l - 14. Let f(h) = -17*h - 4. Let a(j) = -7*f(j) + 2*t(j). Let k(v) = 16*v**2 + 19*v. Calculate a(k(p)). 16*p**2 + 19*p Suppose 16*k + k + 306 = 0. Let a be ((-3)/2)/(((-7)/k)/(-7)). Let m(i) = -16*i**2 - a*i**2 + 59*i**2. Let h(y) = -y. Determine m(h(v)). 16*v**2 Let y = 26 + -8. Let z(k) = -4*k - y + 18. Let v(n) = 20 + 9 - 29 + 349*n**2 - 343*n**2. Determine z(v(m)). -24*m**2 Suppose -34*
{ "pile_set_name": "DM Mathematics" }
4 What is 4328 times 44.6? 193028.8 0.1498 times 0.6361 0.09528778 What is the product of -0.822 and -0.003707? 0.003047154 What is -1.078 times 44.079? -47.517162 What is the product of -1159936 and -1? 1159936 What is the product of -0.071 and -34781.4? 2469.4794 What is the product of 14417476 and 0.1? 1441747.6 -41777 times -3968 165771136 Work out -496606 * 0.0349. -17331.5494 -14893 times 2.0394 -30372.7842 0.05229 times -0.02738 -0.0014317002 1367643 * 0.3 410292.9 -0.11*7875.6214 -866.318354 What is -1 times -17.531764? 17.531764 -0.1 * 0.39719 -0.039719 Multiply 79.5 and -27425. -2180287.5 What is the product of -59 and 2624235? -154829865 Work out 0.223893625 * 2. 0.44778725 -11692 times 27.5 -321530 -6 times -17310140 103860840 Work out 2 * 0.47456. 0.94912 Product of -32 and -100766. 3224512 3*0.03576302 0.10728906 20948 times 11595 242892060 -1.71379 times -4 6.85516 0.109 * 401.443 43.757287 -3.5253 times 336 -1184.5008 -131*-1115024 146068144 Calculate 4369334*-0.3. -1310800.2 Work out -659 * 9693. -6387687 Product of 13 and -2055544. -26722072 Calculate -43774.16*-1.2. 52528.992 -16499.9 * -3 49499.7 -113.6 * 800 -90880 What is -7 times -7010371.8? 49072602.6 What is 1400 times 9.30983? 13033.762 What is 11 times 0.235796? 2.593756 -78.324883 times -0.06 4.69949298 Multiply -17405.83 and 2. -34811.66 Multiply -0.1656 and -10485. 1736.316 1.6132*-0.383 -0.6178556 Work out 2537 * -1975.9. -5012858.3 What is -2057 times -9454? 19446878 -1090974.49 * 3 -3272923.47 What is 0.4 times -0.9482584? -0.37930336 Product of -209135.3 and 83. -17358229.9 Work out -331 * 5831. -1930061 -0.12152 * -36538 4440.09776 6.192844*163 1009.433572 What is -107028704 times -0.3? 32108611.2 Work out -6680 * -91217. 609329560 Work out 1595168 * 48. 76568064 Multiply -251 and -114157.9. 28653632.9 Product of -3 and -160299659. 480898977 Calculate -97087*-0.98. 95145.26 Product of 0.07 and -205801. -14406.07 31.73472 times -4 -126.93888 Work out -2832714.4 * -0.04. 113308.576 Product of -6.8064 and 0.0368. -0.25047552 What is the product of -0.299 and -3.2836? 0.9817964 Calculate -3534575*4. -14138300 -0.90044368*0.4 -0.360177472 1*1257921 1257921 Calculate -3340644*0. 0 Multiply -11149663 and 1. -11149663 Multiply -517346 and 11. -5690806 Product of 45088 and -9.6. -432844.8 Product of 4.963 and -0.0464. -0.2302832 What is the product of 0.083524 and 199? 16.621276 What is -19494 times 669.3? -13047334.2 -0.01 * -5943509.4 59435.094 Multiply -61623591 and 8. -492988728 What is the product of 0.11261 and 31394? 3535.27834 Multiply -0.113 and 1421663. -160647.919 What is the product of 2.69432076 and -0.3? -0.808296228 -1097*-63354 69499338 4.884699 * -13 -63.501087 -7286.3 * 0.67 -4881.821 Product of -324789 and -0.32. 103932.48 Work out 29406.3 * 32.51. 955998.813 What is the product of 2 and -179941? -359882 Multiply -596663 and 3.9. -2326985.7 844327671 * 3 2532983013 What is -0.10643 times 3328? -354.19904 0.3*1.137 0.3411 Multiply -7.2 and 27.358. -196.9776 What is 158789981 times -1? -158789981 What is the product of 252.8074 and -0.4? -101.12296 -28976479*2 -57952958 -4042 * -39541 159824722 Multiply -605 and -57.352. 34697.96 Product of 1 and 8618060. 8618060 What is 0.0444 times 50? 2.22 What is the product of 0.5278 and -6610? -3488.758 Calculate 238.87*308. 73571.96 What is the product of 574132715 and 4? 2296530860 Product of -0.0360658 and -272. 9.8098976 What is 272 times 19734? 5367648 -169.7 * 0.9227 -156.58219 Multiply 1 and -985863. -985863 What is -57176 times -0.0632? 3613.5232 Calculate -2*15071869. -30143738 Work out 45216.227 * 5. 226081.135 11815845*63 744398235 What is the product of -10 and 72058403? -720584030 0.01 * -1101786 -11017.86 Multiply -0.1 and 4629126. -462912.6 What is the product of -1090.5466 and -0.4? 436.21864 Calculate -347.628*153. -53187.084 Product of -114343 and 5.302. -606246.586 What is the product of -263.765 and 0.2575? -67.9194875 Product of -1.3 and 2.538858. -3.3005154 What is the product of 95 and 61040? 5798800 Calculate 5277758*-2. -10555516 What is the product of 6573706 and 0.5? 3286853 Work out 4876 * -63.16. -307968.16 Product of -0.02501 and -6508. 162.76508 Product of 1.417 and 0.147718. 0.209316406 Product of -7.16 and -0.5209. 3.729644 Product of -0.0824364 and -18. 1.4838552 Multiply 389 and -0.125214. -48.708246 What is the product of 205595 and -44.8? -9210656 -2884*7919 -22838396 What is the product of 450.50022 and 0.3? 135.150066 Work out -2586668.12 * 3. -7760004.36 Multiply 572062 and -1095. -626407890 Work out 51 * -9676. -493476 Work out 87 * 1128804. 98205948 Multiply -6831 and 0.1027. -701.5437 Work out -0.70232 * 185. -129.9292 -43059635 * 3 -129178905 Multiply 0.0051 and -92386. -471.1686 2610902 times 7.1 18537404.2 Calculate 2397.4*21764. 52177013.6 Product of 0.00599874 and -0.1. -0.000599874 What is -1.6 times 48025484? -76840774.4 What is -94 times -172150? 16182100 Product of -307.03 and -27. 8289.81 -14932630*-0.5 7466315 Work out -133 * 81910. -10894030 29 * -52.9115 -1534.4335 What is the product of -23.8 and -47609? 1133094.2 Work out 0.01519461 * -0.2. -0.003038922 12477 times 63.2 788546.4 0 times -108639.7 0 -117 * -7450416 871698672 Multiply -2.481155 and 32. -79.39696 What is the product of 0.3 and 0.00269664? 0.000808992 Calculate 0.9*3.2289438. 2.90604942 Multiply 0.1 and 143927.706. 14392.7706 Product of 12.7889984 and -3. -38.3669952 What is -4.49 times -0.19619? 0.8808931 Work out 2 * -7191457. -14382914 -127417*-1.07 136336.19 Multiply -553585 and 0.2. -110717 762 times 24 18288 -15273.82571 times -0.5 7636.912855 What is the product of 0.5 and 129256407? 64628203.5 What is -1734 times -286? 495924 -15875.31 * 0 0 What is the product of -6099 and 7154? -43632246 What is the product of 17283 and 0.353? 6100.899 364898*-9 -3284082 72114375 times -0.5 -36057187.5 1.26307*-392 -495.12344 What is the product of 0 and 2992773? 0 Work out -1113930 * 153. -170431290 3.946065*-3.5 -13.8112275 Calculate 0.94*354725. 333441.5 -0.2 times 20.027803 -4.0055606 What is the product of 0.4 and 464.009? 185.6036 What is the product of 0.1467307 and -0.02? -0.002934614 Work out 280 * -21.1204. -5913.712 What is 322.14366 times -3? -966.43098 Work out 1484 * -3166. -4698344 Calculate -11.4*13.2499. -151.04886 Work out 134.54 * 2111. 284013.94 Multiply 50 and -179696. -8984800 What is 4.37 times -98810? -431799.7 Product of -5 and -0.641388. 3.20694 Calculate 12*-70288014. -843456168 0.7822804 * 0.4 0.31291216 -16.966733*-0.4 6.7866932 Multiply 250.70776 and 14. 3509.90864 Work out -6.1623 * 1.05. -6.470415 Multiply 0.4 and 3.66077. 1.464308 0.2125 * -10076 -2141.15 7 times -258438.92 -1809072.44 98*1326.727 130019.246 Work out 13.05 * 78515. 1024620.75 What is 931 times 0.1084? 100.9204 Multiply 1 and -604187.92. -604187.92 Calculate 0.5*-2.655621. -1.3278105 Work out 264940 * 48. 12717120 What is -0.0471 times -1389? 65.4219 What is the product of -2 and 22791912? -45583824 What is 2301717 times -0.05? -115085.85 9282.3 * 0.24 2227.752 Calculate 2404856*4. 9619424 What is the product of 25.5 and 2744.3? 69979.65 Product of -2322 and 6829. -15856938 What is 0.92 times -61165? -56271.8 -124.13 * 18.81 -2334.8853 Work out -28 * -0.01241141. 0.34751948 208.7 * -1051 -219343.7 What is -0.183 times 174665? -31963.695 What is the product of -1.71 and 58574? -100161.54 -1407618927 times 0.1 -140761892.7 -25795560*5 -128977800 -502 times 54133 -27174766 84 * -88291 -7416444 Calculate -4863222*-4. 19452888 Work out 340.129 * -10.5. -3571.3545 -39*-28.7011 1119.3429 Multiply 2.9 and -4845235. -14051181.5 -11*0.9497033 -10.4467363 2 * 73142303 146284606 What is the product of 3 and 324874? 974622 15 * -966995 -14504925 What is 100592 times -115? -11568080 Calculate 8159195*0. 0 17156317 * -1 -17156317 What is the product of 0.4 and 96132069? 38452827.6 Calculate -10*0.10348001. -1.0348001 2 times -5571.51 -11143.02 -0.6124 times 867 -530.9508 Calculate -3.9590173*-5. 19.7950865 10051*258 2593158 What is 0.035 times 550621? 19271.735 Calculate 4484.75*-3. -13454.25 44549167 times -14 -623688338 0.0045974 times -1 -0.0045974 Work out -359 * 22806. -8187354 Work out -85.451 * -2.7. 230
{ "pile_set_name": "DM Mathematics" }
? 3 Calculate the remainder when 2091 is divided by 690. 21 What is the remainder when 46941 is divided by 12? 9 Calculate the remainder when 128 is divided by 23. 13 What is the remainder when 236 is divided by 24? 20 What is the remainder when 273 is divided by 51? 18 What is the remainder when 93 is divided by 19? 17 What is the remainder when 2434 is divided by 773? 115 What is the remainder when 58 is divided by 37? 21 Calculate the remainder when 325 is divided by 15. 10 What is the remainder when 21 is divided by 8? 5 What is the remainder when 190 is divided by 66? 58 What is the remainder when 275 is divided by 14? 9 Calculate the remainder when 522 is divided by 136. 114 What is the remainder when 46 is divided by 7? 4 Calculate the remainder when 29 is divided by 12. 5 What is the remainder when 1333 is divided by 27? 10 Calculate the remainder when 1784 is divided by 16. 8 What is the remainder when 359 is divided by 20? 19 What is the remainder when 3509 is divided by 1164? 17 What is the remainder when 147 is divided by 41? 24 What is the remainder when 11606 is divided by 86? 82 Calculate the remainder when 270 is divided by 167. 103 Calculate the remainder when 2027 is divided by 58. 55 Calculate the remainder when 1008 is divided by 23. 19 What is the remainder when 1888 is divided by 9? 7 What is the remainder when 264 is divided by 27? 21 What is the remainder when 15705 is divided by 102? 99 What is the remainder when 106 is divided by 36? 34 Calculate the remainder when 161 is divided by 31. 6 What is the remainder when 12246 is divided by 250? 246 What is the remainder when 151 is divided by 45? 16 Calculate the remainder when 1028 is divided by 147. 146 Calculate the remainder when 787 is divided by 23. 5 What is the remainder when 827 is divided by 18? 17 Calculate the remainder when 2221 is divided by 1110. 1 Calculate the remainder when 1206 is divided by 200. 6 Calculate the remainder when 910 is divided by 232. 214 Calculate the remainder when 879 is divided by 10. 9 What is the remainder when 30173 is divided by 141? 140 What is the remainder when 3118 is divided by 80? 78 What is the remainder when 756 is divided by 96? 84 What is the remainder when 1143 is divided by 13? 12 Calculate the remainder when 591 is divided by 39. 6 Calculate the remainder when 6459 is divided by 49. 40 Calculate the remainder when 2813 is divided by 13. 5 Calculate the remainder when 437 is divided by 131. 44 Calculate the remainder when 548 is divided by 123. 56 Calculate the remainder when 4584 is divided by 5. 4 Calculate the remainder when 285 is divided by 17. 13 Calculate the remainder when 83 is divided by 8. 3 Calculate the remainder when 162 is divided by 92. 70 What is the remainder when 65 is divided by 36? 29 Calculate the remainder when 481 is divided by 22. 19 What is the remainder when 786 is divided by 78? 6 Calculate the remainder when 1285 is divided by 4. 1 Calculate the remainder when 171 is divided by 75. 21 Calculate the remainder when 90 is divided by 10. 0 Calculate the remainder when 764 is divided by 155. 144 What is the remainder when 93 is divided by 38? 17 Calculate the remainder when 2195 is divided by 26. 11 Calculate the remainder when 24 is divided by 16. 8 What is the remainder when 314 is divided by 82? 68 Calculate the remainder when 204 is divided by 70. 64 Calculate the remainder when 1301 is divided by 145. 141 What is the remainder when 1834 is divided by 17? 15 What is the remainder when 1036 is divided by 87? 79 What is the remainder when 371 is divided by 101? 68 Calculate the remainder when 3140 is divided by 21. 11 What is the remainder when 30 is divided by 16? 14 What is the remainder when 865 is divided by 315? 235 What is the remainder when 1323 is divided by 65? 23 Calculate the remainder when 253 is divided by 118. 17 Calculate the remainder when 20221 is divided by 321. 319 What is the remainder when 1326 is divided by 47? 10 What is the remainder when 1193 is divided by 21? 17 Calculate the remainder when 2725 is divided by 119. 107 Calculate the remainder when 3439 is divided by 1142. 13 Calculate the remainder when 114 is divided by 44. 26 Calculate the remainder when 737 is divided by 82. 81 Calculate the remainder when 121 is divided by 61. 60 What is the remainder when 310 is divided by 28? 2 What is the remainder when 255 is divided by 83? 6 Calculate the remainder when 863 is divided by 148. 123 Calculate the remainder when 225 is divided by 76. 73 What is the remainder when 452 is divided by 193? 66 What is the remainder when 52 is divided by 28? 24 What is the remainder when 38 is divided by 8? 6 What is the remainder when 92 is divided by 24? 20 Calculate the remainder when 7241 is divided by 71. 70 Calculate the remainder when 674 is divided by 70. 44 What is the remainder when 245 is divided by 41? 40 What is the remainder when 75 is divided by 35? 5 What is the remainder when 80 is divided by 29? 22 What is the remainder when 2042 is divided by 107? 9 Calculate the remainder when 17086 is divided by 192. 190 What is the remainder when 197 is divided by 73? 51 Calculate the remainder when 476 is divided by 258. 218 Calculate the remainder when 6938 is divided by 78. 74 What is the remainder when 733 is divided by 189? 166 What is the remainder when 984 is divided by 10? 4 Calculate the remainder when 480 is divided by 212. 56 Calculate the remainder when 1874 is divided by 1860. 14 What is the remainder when 117 is divided by 25? 17 What is the remainder when 93 is divided by 16? 13 Calculate the remainder when 545 is divided by 39. 38 What is the remainder when 142 is divided by 36? 34 What is the remainder when 1004 is divided by 72? 68 What is the remainder when 338 is divided by 19? 15 Calculate the remainder when 11770 is divided by 9. 7 Calculate the remainder when 765 is divided by 151. 10 What is the remainder when 8640 is divided by 67? 64 Calculate the remainder when 429 is divided by 54. 51 Calculate the remainder when 816 is divided by 201. 12 Calculate the remainder when 1001 is divided by 67. 63 What is the remainder when 68 is divided by 24? 20 What is the remainder when 118 is divided by 32? 22 Calculate the remainder when 165 is divided by 17. 12 What is the remainder when 756 is divided by 158? 124 What is the remainder when 322 is divided by 104? 10 Calculate the remainder when 1093 is divided by 38. 29 What is the remainder when 407 is divided by 194? 19 What is the remainder when 700 is divided by 230? 10 Calculate the remainder when 886 is divided by 23. 12 Calculate the remainder when 724 is divided by 143. 9 What is the remainder when 371 is divided by 202? 169 What is the remainder when 10005 is divided by 7? 2 Calculate the remainder when 681 is divided by 338. 5 Calculate the remainder when 4062 is divided by 127. 125 What is the remainder when 81 is divided by 14? 11 What is the remainder when 53 is divided by 19? 15 What is the remainder when 1127 is divided by 27? 20 Calculate the remainder when 372 is divided by 126. 120 What is the remainder when 331 is divided by 124? 83 Calculate the remainder when 170 is divided by 29. 25 Calculate the remainder when 854 is divided by 37. 3 Calculate the remainder when 39 is divided by 9. 3 What is the remainder when 13762 is divided by 124? 122 What is the remainder when 761 is divided by 153? 149 Calculate the remainder when 4978 is divided by 10. 8 Calculate the remainder when 3664 is divided by 166. 12 What is the remainder when 4344 is divided by 128? 120 What is the remainder when 120 is divided by 14? 8 What is the remainder when 56 is divided by 12? 8 What is the remainder when 807 is divided by 89? 6 What is the remainder when 55 is divided by 45? 10 What is the remainder when 166 is divided by 43? 37 Calculate the remainder when 329 is divided by 76. 25 Calculate the remainder when 435 is divided by 129. 48 What is the remainder when 34 is divided by 18? 16 What is the remainder when 509 is divided by 132? 113 Calculate the remainder when 576 is divided by 83. 78 Calculate the remainder when 42 is divided by 26. 16 What is the remainder when 407 is divided by 68? 67 What is the remainder w
{ "pile_set_name": "DM Mathematics" }
4*m - 7 = -3. Let t be 0/m*1/2. Suppose 2*v + n - 7 + 2 = 0, 3*n + 1 = -2*v. Solve 0*j + v*j = t for j. 0 Let s = 3963 + -3945. Solve -2 = s*g - 92 for g. 5 Let l(x) = x**3 + 24*x**2 + 72*x + 60. Let w be l(-20). Solve 13*r + 31*r - w = 0 for r. 5 Suppose f - z = 0, -3*f - 2*z = -z - 8. Let n(j) = -4*j - 2*j**f + 7*j - 13 + 3*j**2. Let v be n(-6). Solve -v*q + 2 = -8 for q. 2 Let x be -9*(1/(-1))/1. Let d = -351946 - -351977. Solve 0 = x*z - d - 5 for z. 4 Suppose -22 = 19*z - 23*z + v, -4*z = -4*v - 28. Let t = -6 - -11. Suppose z = t*d - 0*d. Solve -2*y - d = 3 for y. -2 Let q = -6373 - -6373. Solve q = 146*c - 141*c + 10 for c. -2 Suppose 0 = -p + 3 + 9. Suppose 0 = -j + 5*m - 7, -m = -3*j - 3*m + 13. Let d be j*(1 - 0) - 3. Solve -p = -3*w - d for w. 4 Suppose 32 = -3490*i + 3502*i - 28. Let d be 0/(-2) + 11 + -9. Solve -d*o = -i*o for o. 0 Let s = 812 - 811. Let a(j) = 3*j - 7. Let x(h) = 2*h - 6. Let z(k) = 5*a(k) - 6*x(k). Let w be z(s). Solve 3 = b + w for b. -1 Suppose -2*m + 176*x = 173*x - 546, -x = 4*m - 1148. Solve -m = 72*v - 15*v for v. -5 Let w(v) = 6*v**3 + v**2 + 2*v - 2. Let r be w(1). Let c be 266/11 + 10/(-55). Let p be 4 - 4 - r/((-14)/c). Solve 3*d = p + 3 for d. 5 Let m be 369/82*390/135. Solve -m = -22*u + 9*u for u. 1 Let t = -5106 + 5106. Solve t = -13*n - 10 - 16 for n. -2 Let z be ((-18)/(-2) + -9)/(5/5). Let w = -14 - -23. Solve z = -4*x + w*x for x. 0 Let x be 6/4*(6 - 4). Suppose -85 = -f - n, 0 = -2*f + 3*n + x + 157. Let k = -78 + f. Solve -o = 3 - k for o. 2 Let h = 304 + -304. Suppose -13*d + 145 - 15 = h. Solve -5*z + d*z - 20 = 0 for z. 4 Let s(w) = w**3 - 5*w**2 + 4*w. Let u be 120/(-4 + 9) + 0. Let m = u - 20. Let z be s(m). Solve -4*v = -z*v for v. 0 Let x(v) = -v**3 - 15*v**2 - 32*v - 53. Suppose 0 = 8*q - 7 + 111. Let p be x(q). Solve 0 = 5*g - p for g. 5 Let d be 48/2*(13 - 14). Let l be d/4 - (-4)/(0 - -2). Let a = l + 11. Solve 12 = -a*f + 4*f for f. -4 Let n be ((-4)/(-10))/((6/40)/3). Suppose j - 4 = 0, -2*j + 2 = 7*a - n*a. Let d(o) = -o**3 + o**2 - o - 1. Let t be d(-1). Solve -t = -4*l - a for l. -1 Suppose 4*l = c - 25, c - 5*l - 2 = 3*c. Let f be ((-162)/(-30))/(c/15). Solve 0 = m + 2*m + f for m. -3 Suppose -26 = -5*t - 4*u, -2*t = t + 2*u - 14. Suppose 116*x - 6 = 110*x. Let y = x + t. Solve -3*h + y = -0 for h. 1 Let f(i) be the second derivative of -22*i**3/3 - 26*i**2 + 82*i - 1. Let g be f(-2). Solve 3*j - 24 = -g for j. -4 Let n = -394 - -383. Let b(w) = -w**3 - 12*w**2 - 11*w + 5. Let v be b(n). Let d(t) = t**3 + 3*t**2 - t + 2. Let r be d(-3). Solve -v - 10 = r*k for k. -3 Let u(b) = -b**3 - 3*b**2 - 3*b - 1. Let d be u(-2). Let j = -688 + 688. Let m(p) = p**2 + 18*p + 3. Let h be m(-18). Solve o + d - h = j for o. 2 Suppose -913 = -17*w + 5*w - 157. Solve 5*p - w = 26*p for p. -3 Let x be (-1 - 0)*1*(3 + -3). Suppose -34*p + 282 + 58 = x. Solve 3*v + 21 = p*v for v. 3 Let z be (3/3)/(38 + -30 - 23/3). Solve -z*k = 4*k for k. 0 Let f = -53 - -94. Let b = -37 + f. Let q = b + -4. Solve 4*l + 3 + 1 = q for l. -1 Let t = -231 - -666. Let m = t - 433. Solve m = -2*i + 12 for i. 5 Suppose 43*g + 130*g = 5363. Solve -32*b = g + 193 for b. -7 Suppose -d - 5*y + 2 = 0, 4*y = 3*d - 28 + 3. Let o be 2/3 + (-4)/6 + 15. Solve -2*h = -d*h - o for h. -3 Suppose -27 = -2*k - 5*a, 0*k + 3*a = 2*k - 3. Let g(t) = -16*t + 98. Let f be g(k). Solve -f*l = l + 6 for l. -2 Let g be (3*(6 - 7))/(3/(-2)) - -14. Solve -4 = -4*b - g for b. -3 Let d be (-6 - -5 - -1) + 3. Let q(b) = -b + 7. Let n be q(-3). Solve -d*a = -5*a - n for a. -5 Let u = 18 + -21. Let b be ((-24)/u - 3)*2. Suppose 50 = 4*v - b. Solve 0*p + 5*p + v = 0 for p. -3 Let r = 2566 + -2539. Solve -85 = -10*w + r*w for w. -5 Suppose 8078*m = 8060*m. Solve 2*i + 5*i - 21*i = m for i. 0 Let q = -6027 + 6031. Solve -48 = -q*l - 68 for l. -5 Let g(o) = -o**2 + 11*o - 20. Let p be g(8). Suppose -68 = -0*x - x + p*i, -x = -5*i - 67. Let u = -72 + x. Solve -q = -u*q for q. 0 Suppose 11*h - 8*h = -2*u + 65, u - 3*h - 10 = 0. Solve 6*n + 55 - u = 0 for n. -5 Suppose 27*y = 31*y - 3*t - 47, -3*t - 7 = y. Solve 220 = -y*i + 252 for i. 4 Let s(i) = 39*i + 2491. Let j be s(-63). Solve -j*c - 41 + 7 = 0 for c. -1 Suppose 41*z - 24 = 37*z. Let t be (-6)/(z - 5) + 6. Solve t = -5*q - 7 - 3 for q. -2 Let y be (-2268)/63*30/(-8). Solve 13*n - y = -14*n for n. 5 Let i(n) = 6*n**3 - 270*n**2 + 7*n - 305. Let h be i(45). Solve h*y = -24 - 6 for y. -3 Suppose -o = -3*o + 6. Let a be 3/(((-18)/(-4))/o). Solve a*y + 0*y = 0 for y. 0 Let y(a) = -13*a + 3. Let t be y(-1). Let p(l) = l**2 - 15*l + 19. Let s be p(t). Let x = s - 29. Solve 0 = 3*o - 0 + x for o. -2 Let q = -400 - -407. Suppose -q = -2*h + h. Solve -4*g - 9 - h = 0 for g. -4 Let q = -1065 - -1070. Solve -q*r + 52 = 42 for r. 2 Let u(k) = k**3 - 26*k**2 - 27*k + 5. Let l be u(27). Let t be (-2)/l - (96/(-40) + -3). Solve -t*h = -8*h + 12 for h. 4 Let b = -79 + 80. Let v be (4 + -27)*1/b. Let c = v + 29. Solve 9*z - 6 = c*z for z. 2 Let o = -36 - -111. Solve -25*w - o = -0*w for w. -3 Suppose 0 = 2*u - u. Suppose -3*r - b + 10 + 3 = u, -7 = -r - b. Let z be 18 + (-180)/(-40)*-2. Solve z - r = -3*t for t. -2 Let j(g) = -g**3 - 15*g**2 + 12*g + 465. Let q be j(-14). Solve 140 + 163 = q*u for u. 3 Let t(k) = k**3 + 13*k**2 - 4*k + 147. Let b be t(-14). Solve b*x + 236 = 257 for x. 3 Suppose -5*f + 4 - 14 = -5*p, 0 = -3*p + 9. Let q(y) = -y + 26. Let b be q(f). Solve -5*w + 0 = b for w. -5 Let g be 3 - 2 - 2 - -4. Suppose -g*w - 4*p = -6*p - 18, -3*p = -4*w + 25. Solve -w - 5 = 3*i for i. -3 Let z be (24/90)/((-66)/(-495)). Solve z*j = -7 + 7 for j. 0 Let s(t) be the second derivative of -t**3/3 + 51*t**2/2 + t - 2. Let p be s(24). Solve -2*u = -p*u for u. 0 Let m = -2938 - -2970. Solve m*r - 36*r = -8 for r. 2 Let y be (4/3)/((-403)/(-625053)). Solve y*t = 2065*t - 6 for t. -2 Let i(s) be the second derivative of -s**4/6 - 31*s**3/3 + 34*s**2 - 3*s - 21. Let x be i(-32). Solve -8*o = -9*o - x for o. -4 Let n = -3 + 9. Suppose -n*g - 9*g + 5*g = 0. Suppose -1 = -3*k + 5*z - 14, g = -5*k - 3*z + 35. Solve -v + k*v = -3 for v. -1 Let q(d) = -d**3 + 6*d**2 + 9*d - 10. Let b = 85 + -76. Suppose -3*w = -3*u - b, u = 5*u - 16. Let j be q(w). Solve 25 = n + j*n for n. 5 Suppose 79 = 19*p - 18*p - 7*j, 3*j = 2*p - 37. Suppose -5*b = i - 2*b + 9, -5*i = b + 3. Solve p*x + i*x = 10 for x. 5 Let z(b) = -274*b - 10407. Let o be z(-38). Solve -24*f = -o*f + 38 for f. -2 Let p(x) = -2*x + 1. Let y be p(1). Let c be (-10)/y + -12 + 9. Let m be 3/((-69)/(-15) - 4). Solve -m*q - c - 3 = 0 for q. -2 Suppose 328*q = 195*q + 4788. Solve -20*v = -14*v - q for v. 6 Let c be 46/3 + (-104)/(-156). Solve 0 = -c*j + 59 - 43 for j. 1 Let i(v) = 4*v + 108. Let g be i(-18). Solve 42*f = 60*f + g for f. -2 Let l = 29 - 26. Suppose 105 = 2*s + 3*j - 8*j, 0 = l*s - j - 125. Solve -12*b = -4*b - s for b. 5 Let d(m) = 305*m - 915. Let v be d(3). Solve 28*u - 44*u - 128 = v for u. -8 Let n(r) = -r**2 - 97*r - 1260. Let x be n(-16). Solve -100 - x = 34*y for y. -4 Let f be 380/209 + 2/11. Suppose 3*u = f*v + 28, -4*v = -4*u + 14 + 26. Suppose -2*t + 0*p - 4 = 4*p, 2*p = 2*t - u. Solve -t*r + 6*r + 12 = 0 for r. -3 Let o = 4787 + -4777. Solve -23*t = -18*t - o for t. 2 Let b(y) = y**2 + 51*y - 588. Let g be b(-63). Solve 8*p - 184 = -g for p. 2 Let j = 16210 - 16167. Solve j*d + 237 + 150 = 0 for d. -9 Suppose -p = -3*p + 4*g - 16, -6*p = 2*g - 8. Solve p = 2*i - 99 + 89 for i. 5 Let o(j) = -9*j - 5*j - 5*j**2 + 222 - 223. Let u be o(-1). Solve -u = -4*v + 6*v for v. -4 Let j(i) = -i**3 - 5*i**2 - i - 3. Let l be 1*(-15)/(-6)*(-3 - -1). Let m be j(l). Suppose -2*t = 3*b - 16, t + 5*b = -m*t + 26. Solve t*c = -c + 3 for c. 1 Let x(h) = -h**2 - 2*h + 3. Let k be x(-3). Suppose 278*g - 287*g + 36 = 0. Solve -16*l + 18*l + g = k for l. -2 Let i = 496 - 496. Suppose 2 = -2*g + 4*g. Suppose 8 + 2 = -2*d - 4*c, 5*d + 4*c = -g. Solve -d*l + i*l = 15 for l. -5 Let n = 236 - 218. Solve 0 = 4*o - n + 10 for o. 2 Suppose -9*v - 28 = -8*v + 5*c, 0 = -4*v + 4*c - 112. Let b be v/(-10) + (-4)/(-20). Solve -b*l = 20 - 5 for l. -5 Let o be (165/6)/(269/538). Solve -45 = o*v - 50*v for v. -9 Let s(f) = -f**2 + 71*f - 754. Let q be s(13). Let m = -17 - -24. Solv
{ "pile_set_name": "DM Mathematics" }
m + m - 5. Solve u + u = m*r + 21, -2*r + 2*u - 6 = 0 for r. -5 Let o = 0 + 5. Let n(k) = -k. Let g(z) = 5*z + 1. Let x(p) = -2*g(p) - 9*n(p). Let v be x(-7). Solve -5*r + v = o*d, 8 = 4*d + 3*r + 1 for d. 4 Suppose 5*z - d - d = 18, 2*z - 20 = 4*d. Suppose -k = -z, -n + k + 3 = 2. Solve 3*v = -2*q - 2, n*v - 24 - 2 = 5*q for v. 2 Let w(f) = f - 1. Suppose -6*t + 2*t = -12. Let l be w(t). Solve 3*r + 9 = -0*n + 2*n, -1 = -l*n - 5*r for n. 3 Suppose 6 + 6 = 4*y. Solve 5*z = -y*s - 17, 5*s + 0*z = 5*z - 15 for s. -4 Let s be 0/(1*(-2)/1). Suppose s*p = 5*p - 20. Solve x = 3*m - 19, 25 = -p*x + 9 for m. 5 Let v(q) = -q**3 + 4*q**2 + 4*q + 2. Let l be v(5). Let j(p) = p**2 + 2*p + 2. Let a be j(l). Solve 2*s + 2*m - a - 5 = 0, 4*s + 4 = 4*m for s. 2 Let j be -5 + 1 - ((-15)/(-3) - 15). Solve 3*a = 6, -4*h + j*h + 4*a - 14 = 0 for h. 3 Suppose -4*f + 6 = 22, 3*w - 12 = 3*f. Suppose 2*z = 4*k + 94, -3*k + 4*k - 1 = w. Suppose 5*n = -4 + z. Solve -2*a + j = -4*a, 4*j = a - n for a. 1 Let q be 5 - (0 + 2 + -1). Let m be 1/q - 2/8. Suppose -2*s + 16 = -s + 3*j, 64 = 4*s - 5*j. Solve -s = 3*y - 4*y + 3*c, 2*y - 3*c - 20 = m for y. 4 Suppose y + 4*y = 2*a + 13, 4*a - 39 = -3*y. Let t be (3/a)/((-1)/2). Let f be -3*(t/(-1) + -2). Solve l + 4*m = -f + 19, l + 2*m = 10 for l. 4 Suppose -2*j = -5*j - 9. Let b = 2 - j. Suppose 4 + 8 = 3*n. Solve b*o - 22 = -3*x, 5*o = -8*x + n*x + 26 for x. 4 Suppose 4*k + 9 = -g, -3 = -4*g - k + 6. Let f(y) = y**2 - 4 + g + 3 + y. Let z be f(0). Solve 9 = -x + 4*x - z*v, -4*x = -2*v - 10 for x. 1 Suppose x - 3*x = -4, 3*y - 8 = 2*x. Solve k - 20 = -3*z, -y*k + z = -z - 10 for k. 5 Let a = -1 - -3. Suppose -3*r + 6*g = g, a*g = 2*r. Suppose 0 = -r*s + s. Solve 2 = -3*h - d, -3*d - 6 = -s for h. 0 Suppose 3*o - 7 = 2*v, 6 = -v - 0*o + 2*o. Suppose -s + v + 1 = 0. Solve 2*y - 8 = -3*a, -s*y - 3*a + 6 = a for y. -2 Let d be 2/3 + (-39)/(-9). Suppose -d*r = -15, r + 17 = m + 3*m. Solve 2*f = -2*t - 3*t - 18, -m*t - 19 = f for t. -4 Suppose -4*y + 20 = -2*o, 2*y + 2*o = -0 - 2. Solve 2*z + 5 = 3*g, -5*z - 12 = -y*g + 5 for g. -1 Let h(s) = -s - 4. Let b be h(-8). Solve -i - 32 + b = -5*g, -2*i = 5*g - 19 for g. 5 Let y(x) = 3 + 10 + x + 0. Let c be y(-8). Solve -3*w = 6, 0*s - 9 = -c*s - 3*w for s. 3 Suppose -j + 53 = -5*w, 80 - 21 = -5*w - 2*j. Let s be (22 - 0)*-1*-1. Let o = w + s. Solve -f - 2*k - 8 = 0, 0 = -2*f - 2*f - k - o for f. -2 Suppose 2*f = 6*f - 64. Let q = -255 - -260. Solve 0*z = q*t + z + f, -2*t - 8 = 2*z for t. -3 Suppose 3*w + 16 = 7*w. Let j = 56 - 40. Suppose j = 7*f - 3*f. Solve 0 = -n + 3*q + w, -3*n - 9 = -6*q + f*q for n. -5 Let r = -6 - -8. Suppose 0 = -5*s + 4*a + 27, -a + r*a = 3*s - 12. Solve 20 = -5*f + m, -m + 14 = -4*f - s for f. -3 Let m(s) = -2*s - 1 - 5 + 2. Let c be m(-4). Suppose 4*y + 2*l - 3*l = 7, 0 = c*l - 20. Solve -3*i + 4*r - 3 = 0, 0 = 3*i + r - 4*r + y for i. -1 Let j = -6 - -8. Let b = 32 + -30. Solve v = j*u - 0*u + 3, -u - b*v = -6 for u. 0 Let s(l) = 3*l - 3. Let b be s(2). Suppose -z + b + 1 = 0. Suppose -5*f = w + 7, -4*w - 3*f + 2 = -4. Solve 4*r = -3*x - 14 - 3, 0 = -w*r - z*x - 11 for r. -5 Let q be 6 + -4 - (-2 - 1). Let k be 16/10*q/2. Solve 15 = 3*h - k*m, 0*h + 5*m = -3*h - 12 for h. 1 Suppose 0 = -2*s - 0*s - 2. Let p = 4 - s. Solve -p*y - 7*w + 3*w = -4, -3*y + 5*w = -32 for y. 4 Let t(p) = -p**2 - 2*p + 10. Let d be t(0). Solve -v - 6*z + z + 1 = 0, 3*v + 2*z + d = 0 for v. -4 Let r(z) = -4*z**3 - 2*z - 1. Let x be r(-1). Solve 3*h = 6*h - 3*m - 12, -x*m = 20 for h. 0 Suppose -y + 6*y = -25, 5*b - 10 = -3*y. Let o be (-4)/(16/10 - 2). Solve 4 = -2*x - 2, -5*n = b*x + o for n. 1 Let i(c) = c**3 - 7*c**2 + 6*c + 2. Let m be i(6). Suppose -6 = -m*x + 2. Solve 5*k + x*o + 11 = -3, -15 = 5*k + 5*o for k. -2 Suppose 0 = -2*h - 2*h. Suppose -4*x + 0*x + 8 = h. Suppose s = x*s - 7. Solve -4*u = -3 + 19, o = -3*u - s for o. 5 Let k = -2 + 5. Let j be 32/20*(6 - 1). Solve 0 = 2*z + j, 0 = -k*i - 3*z - 2 - 1 for i. 3 Let l = 110 - 109. Solve -2*a + 1 = n, -n + l = 4*a - 4 for n. -3 Let w = 11 - 16. Let u(r) = -2*r + 2. Let s be u(w). Solve 0 = -0*n + n + 4*l - 12, -2*n + 4*l = s for n. 0 Suppose 4*n - 3*n = 2, -4*s = 3*n - 118. Suppose -2*u = 6*l - l - s, 3*u - 24 = -3*l. Suppose u*d = 4 + 16. Solve 0 = r - 2*r - j - 1, -j = -d*r + 1 for r. 0 Let w be (-21)/(-6) + (-1)/2. Let q be 7/w - 4/(-6). Suppose 1 = p - 3. Solve -i = q*y - 6, y + p*y - 10 = 4*i for i. 0 Let t be 0 + 4*5/10. Solve 2*w - t*p - 11 = w, 0 = -3*w + 3*p + 24 for w. 5 Let c be (-10)/(-4) + (-2)/(-4). Suppose -3*g = -0*g + 3*i - 3, -c*g + i + 19 = 0. Suppose s = 12*s. Solve s = -2*u - g*x + x + 16, 0 = -2*u - 2*x + 8 for u. 0 Let z = 2 - -7. Suppose z*v = 4*v. Solve v = -5*d - 3*w - 40, -15 = -d - w + 5*w for d. -5 Suppose 0 = -q + 2*h - 2, 2*h - 10 = 5*q - 0*q. Let c = -2 - q. Solve 5*a + 20 = 0, c*u - 5*u + 14 = -a for u. 2 Let t(y) = 2 + 4*y**3 - 12*y**2 + 4*y**2 - 5*y**3 - 7*y. Let g be t(-7). Suppose 10 = -3*k + 8*k. Solve 1 + 1 = -4*u + 3*i, -k*i - g = -u for u. -2 Suppose -24 = -5*p - 14. Solve 3*r + 6 = c - p*r, c - 3*r - 4 = 0 for c. 1 Let k be (-2)/6 - 170/(-15). Let a = -6 + k. Solve -4*q + 7*q + w = 10, q + 2*w = -a for q. 5 Let j = 2 - 0. Suppose -4*g + 28 = -3*g. Let h = -16 + g. Solve 3*y + 3 = -j*z, 5*y - 4*y + 5*z - h = 0 for y. -3 Suppose 7*g - 5*g - 10 = 0. Solve -g*s = 4*y - 9, -s - 3*y - 8 = -1 for s. 5 Let d(v) = -v**2 - 3*v + 3. Let w be d(-3). Solve 0 = -2*t - 3*c + 6, -w*t + 9 = -2*c - 2*c for t. 3 Let o = -75 - -80. Let r be 16 - (2 - 0)/2. Solve -r = 3*w, 5 = -o*z + w - 5*w for z. 3 Let a(w) = -38*w. Let n be a(-1). Suppose g - n = -g. Let j(l) = l**3 - 7*l**2 - 16*l - 14. Let q be j(9). Solve -4*v = q*d + 24, v + 3*v = d - g for v. -5 Let t = 17 - 12. Solve 0 = -3*c + 2*b - 2, -t*c = -3*c + 5*b + 33 for c. -4 Let n(m) = -m + 4. Let y be n(-2). Let u = -3 + 7. Solve -h = u*l + y + 2, 2*l - 18 = 5*h for h. -4 Let v = 18 + -16. Suppose -j - 3 = -3*m, j - 3 = -2*m + 4. Suppose 0 = -3*c + 3*s + 51, -3 = 3*s - 6*s. Solve y - c = v*p + m*p, 0 = y - 3*p - 13 for y. -2 Let s = 3 - 1. Suppose -o + 8 = 4*u, o = u - 3 + 1. Suppose -u*j + s*t = -18, j + 8*t - 3 = 3*t. Solve 5*x + 1 = -4*c - 5, 2*c = 3*x + j for c. 1 Suppose -2*f + 6 = -0. Suppose 0 = f*r - 5*u - 7, 5*r = -0*u + 5*u + 15. Solve 2*s - 6*s + 5*k = -5, -r*s + 3*k + 3 = 0 for s. 0 Let d = 73 - 70. Solve d*w - 4*z - 14 = 0, w - 17 = 3*z - 4 for w. -2 Let g be (-3 - -3)/2 + 5. Solve x - 4 = c, -34 = -2*x + g*c - 14 for x. 0 Suppose -2*j - 5*b = 3, 5*j = 6*j + 2*b. Solve -4*l - 2*t = -0*t - j, 4*l + 3 = t for l. 0 Suppose 7*d + 7 - 21 = 0. Solve -5*z - 5*f = -d*z + 17, 3*f - 1 = z for z. -4 Let i be 57/18 + 2/(-12). Solve i*f + 29 = -5*a, 0 = 3*a - 3*f + 3 for a. -4 Let d = 42 - 27. Solve 0 = 2*s + v + d, 57 = -4*s - 5*v + 12 for s. -5 Let t be 4 + -1 + (-2)/2. Suppose 0 = t*i - 0*i. Let n = -14 - -24. Solve -f + 2*s - n = 0, f + i*s + 5 = s for f. 0 Let o = -20 + 22. Suppose 0 = -3*k - o*k + 15. Solve 0 = -t + 3*t + k*l - 1, -3*t = 4*l - 2 for t. 2 Let g be (-1)/4 + 85/4. Let r = g - -4. Let c(v) = 4*v - 1. Let a be c(2). Solve -4*o + a = 3*y, -3*y + 4*o + r = -o for y. 5 Let h(z) = z**2 + z - 1. Let f(k) = -6*k**2 + 6*k - 5. Let s(t) = -f(t) + 6*h(t). Let o be s(-1). Solve -u - 2*a - 1 = 0, u - a = a + o for u. 5 Suppose 0 = 2*h - 3 - 7. Suppose 3*f + 19 = n, 5*f + h = -6*n + n. Solve 0 = m - 4*a - 15, n*m - 1 = 5*a + 4 for m. -5 Let w = -2 - -2. Suppose 2 + w = u. Solve a - 7 = -4*a + 3*p, 5*a = u*p + 8 for a. 2 Suppose -6*l - 15 = -3*l. Let x = l - -8. Suppose -x*j + 10 = 1. Solve 0 = 4*t + 5*i + 9, -j = 2*t + i - 0*i for t. -1 Suppose -4*o = -v - 48, v + 48 = 4*o - 2*v. Let l = o + -4. Solve 2*k - l = 4*p + 5*k, 0 = 3*p + k + 1 for p. 1 Let w = 14 + -7. Suppose u - 6 = 3*l, -l - 20 - 37 = -4*u. Let m be (1 - u/6)*-2. Solve p = m*c + 6 + w, 2*c = p - 10 for c. -3 Let i(v) = -v**3 - 10*v**2 + 12*v + 14. Let f(n) = n**2 - 7*n - 1. Let j be f(5). Let b be i(j). Solve 4*a + 11 = g, b*a + 16 = -a for g. -5 Let x(o) = 6 + 1 - o - 4. Let q be x(0). Let w = 3 - q. Solve 0 = -5*p + 3*n - 34, -4*p - 5*n + w*n - 5 = 0 for p. -5 Let t(n) = -n**3 + n**2 + 2. Let i be t(2). Let y = i + 5. Suppose y*o - 8 = o. Solve 0 = -5*r + r + 3*h - 17, -o*r
{ "pile_set_name": "DM Mathematics" }
a*g**3 + u + f*g**4 and give f. 682 Rearrange 36754 - 18382 - 1883*t - 18372 to w + f*t and give f. -1883 Express -64*s - 12 + 29 - 11 - 10 as i + z*s and give z. -64 Rearrange -5*z**2 - 3 + 4*z**3 - 3*z + 30*z**3 + 9*z**3 - 3 - 45*z**3 to the form u*z**2 + o*z + w*z**3 + g and give u. -5 Rearrange (431*p**2 - 515*p**2 - 679*p**2)*(0 - 3 + 0) to w*p**2 + k + v*p and give w. 2289 Rearrange (289196*c - 289195*c - c**2 - 183*c**3 - 262*c**3)*(-2 + 4 + 0) to the form y*c + p + q*c**2 + t*c**3 and give q. -2 Rearrange (-h**2 + 2*h**2 + 0*h**2)*(-904*h + 4786*h + 3863*h + 3786*h + 760*h) to g*h + m*h**2 + z + y*h**3 and give y. 12291 Rearrange -2*y + y + y**2 + 2*y**3 + 2*y - 10 - 2*y**4 + y**2 to c*y**3 + n*y**2 + a*y + f*y**4 + w and give c. 2 Express -28645 + 28645 + 663*y as x + h*y and give h. 663 Express 8*x - x**2 + 6*x + 11*x + x**3 + 5*x as n*x**2 + o*x + t + c*x**3 and give n. -1 Express 119*t**2 - 1704*t**2 - 6*t**2 in the form l*t**2 + i*t + q and give l. -1591 Express 0 - x + 0 - 1052*x + 39436 - 39436 + x - 3 + 3 + (-6*x + 2*x + 2*x)*(2 + 0 + 0) as o + q*x and give q. -1056 Express 4*z + 116 + 5*z - 241 + 125 as k*z + r and give k. 9 Express 425*i - 936*i - 2 + 339*i in the form j + p*i and give p. -172 Express -5*l + 0*l**4 - 2*l**2 - 1 + 9 - 5 - 4*l + l**4 as j*l**4 + g + f*l + d*l**2 + p*l**3 and give j. 1 Express (95 + 192 - 72)*(6*w**4 + 4*w**4 - 4*w**4) in the form a + z*w**2 + p*w + o*w**4 + g*w**3 and give o. 1290 Rearrange 2*v - 6 - 5 + 46*v**3 + 10 to g + x*v + k*v**3 + w*v**2 and give g. -1 Rearrange -38*p**2 - 1 + 91*p**2 + 86*p**2 to the form h*p + g*p**2 + b and give b. -1 Rearrange (-3 - 1 + 6)*(0 + 1 - 4)*((0 - 2*r + 0)*(r**2 - r**2 - 4*r**2) + (-4*r**2 + 4*r**2 + 3*r**2)*(-r + 4*r - r)) to x*r**2 + v + k*r**3 + w*r and give k. -84 Rearrange -18711*a + 18711*a + 342 + a**2 to t*a**2 + i*a + q and give t. 1 Express 222388*d - 2*d**3 + 32*d**2 - 2 + 4*d**4 - 222388*d as o*d**2 + c*d**4 + j + r*d**3 + y*d and give j. -2 Express ((3 + 1 - 3)*(3 + 6 - 4) + (0 - 1 - 2)*(-3 - 5 + 2))*(-k**2 + 3*k**2 + 0*k**2) in the form l + r*k + f*k**2 and give f. 46 Express 2*c**4 + 2452*c + 0*c**4 - 6 - 64*c**2 - 2450*c + 7 - 2*c**3 in the form n + u*c + z*c**2 + p*c**3 + m*c**4 and give m. 2 Express (2*g + 3*g - 4*g)*(-505 + 121 + 171 + 165 - 17*g) in the form w + k*g + z*g**2 and give z. -17 Express 78*o**2 + 26*o**2 - 4 + 11*o**2 + 2 in the form v*o + m + g*o**2 and give g. 115 Express -179 - 300*h + 196*h + 181 as i + m*h and give m. -104 Express (-9*z**2 + 8*z**2 + 11*z**2)*(3 - 1 + 0) - 22*z**2 + 0 + 0 as y*z + j*z**2 + v and give j. -2 Express -73*p**4 + 0*p**4 - 123*p**4 + (8*p**2 + 0*p**2 - 5*p**2)*(0 - p**2 + 0) as i*p**2 + q*p**3 + a*p + l + h*p**4 and give h. -199 Rearrange 9*o**2 - 62*o**2 + 454*o**2 to the form p*o + y*o**2 + x and give y. 401 Rearrange -y**2 - 43*y + 2*y**3 + 6 + 6 + 45*y - 14 - y**4 to the form u*y + g*y**4 + z*y**2 + a*y**3 + f and give u. 2 Express -15*g + 1 - 15134*g**3 + g**4 + g**2 + 15134*g**3 as m*g**4 + f*g**3 + u*g**2 + l*g + j and give j. 1 Rearrange -8 + 198*n + 134*n + 12 - 5 to j + b*n and give b. 332 Express -4 - 2*d**3 + 0*d - 5*d + 2 + 88*d**2 - 89*d**2 + d**4 as k*d**3 + l*d**2 + q*d + z + v*d**4 and give l. -1 Express (2*p + p - p)*(-2*p + 3 - 3)*(-22 + 6 - 22 - 1 + 3 - 5 + (-5 + 2 + 2)*(-1 + 1 + 2)) in the form u*p**2 + y + i*p and give u. 172 Express (2 + 4 + 15)*(1 + 0 + 1)*(-3*g - 9*g - g)*(5*g - 5*g - 2*g**3) as f*g**2 + l*g**3 + n*g + h + j*g**4 and give j. 1092 Rearrange (5*x**2 - 4*x**2 - 3*x**2)*(-38*x - 36*x + 12*x) + 2*x**3 - 4*x**3 + 3*x**3 + 4*x**3 + 4*x**3 - 6*x**3 to o*x**3 + p*x + t*x**2 + h and give o. 127 Express (-3*u - u + 2*u)*(-2907 - 4357 + 10697) - 2 + 2*u + 2 as x + k*u and give k. -6864 Express (-3 + 17*w - 13*w + 13*w + 3)*(-68*w + 68*w + 37*w**2) as g*w + c + r*w**3 + j*w**2 and give j. 0 Express (-11*y + 3*y - 3*y)*(2 + 7*y + 19*y + 13*y) as h*y**2 + n*y + j and give n. -22 Rearrange -673*a - 497*a + 315*a to w*a + h and give w. -855 Rearrange 2641*a**2 - 2642*a**2 + 50 - 93 - 203 to the form v + k*a**2 + p*a and give k. -1 Rearrange -30 + 80 - 22 - 28 - 1013*t to z + a*t and give a. -1013 Rearrange -216*u + 6 - 6 + 875*u + 738*u to the form d*u + o and give d. 1397 Rearrange ((-4 + 5 - 2)*(9 - 3 - 1) - 11 - 8 - 2)*(g**2 + 2*g - 2*g) to x*g**2 + a*g + m and give x. -26 Express 91*f - 271*f + 87*f + 93*f + 255 - 2*f**3 as o*f + n*f**2 + b + c*f**3 and give o. 0 Express (v**2 + 2*v**2 - 2*v**2)*(960 + 27*v + 3*v + 29*v - 61*v) as w + l*v + b*v**3 + k*v**2 and give b. -2 Express (-4*w**2 + w**3 + 4*w**2)*(6 - 3 - 1) + (37*w**2 + 709*w - 709*w)*(2*w - 2*w + w) as k*w + f*w**3 + p + a*w**2 and give f. 39 Rearrange -183*r**2 - 2*r + 2*r + 167*r**2 + 629*r**2 to j + z*r + v*r**2 and give v. 613 Rearrange (-939*i + 939*i - 115*i**2)*(18*i - 34*i + 17*i) to f + c*i**3 + b*i**2 + r*i and give f. 0 Express -9 - 565*r + 3 + 4 + 2 in the form y*r + v and give y. -565 Express 2 + q**2 - 14*q**3 + 15*q - 2*q**4 - 13*q + 13*q**3 as r + p*q**4 + h*q**3 + n*q + k*q**2 and give r. 2 Express -27 - 67 - 32 + 114*i - 115*i in the form m*i + u and give u. -126 Express -133 + m**3 + m**2 + 14 + 4 + 26 as y + z*m + u*m**2 + v*m**3 and give v. 1 Express 5*t + 0*t - 3*t + (-4*t + 0*t + t)*(4 + 1 - 3) - 10*t + 5*t - 9*t + 2*t + t - 5*t in the form d + i*t and give i. -20 Express -91 + 0*l**2 - l**2 + 134 as n*l + x*l**2 + k and give k. 43 Rearrange (22 - 15 + 41)*(5*o - 5*o + 4 + 2*o) to the form p*o + g and give g. 192 Express (5438 + 261*f - 5438)*(-4*f**2 - 2*f**2 + 3*f**2) as j*f**3 + n + y*f + s*f**2 and give j. -783 Rearrange 30*r**3 + 0 + r + 1 + 0 to the form q + h*r**2 + v*r + c*r**3 and give v. 1 Rearrange 9*u**2 + 108*u**2 - 205*u**2 to f + a*u**2 + p*u and give a. -88 Express -12*h - 17 - 13*h + 26*h + 6 - 6*h in the form v + z*h and give v. -11 Rearrange 537654*t - 537654*t + 1702*t**2 to the form q*t + w + p*t**2 and give q. 0 Express (-k - 2*k + 4*k)*(-6*k + 6*k**3 + 6*k) + 0*k**4 - 3*k**4 + k**4 + 105*k**4 + 72*k**3 - 72*k**3 as m + z*k**4 + t*k + l*k**2 + y*k**3 and give l. 0 Express -14*i + 43*i + 32*i + 26*i + 11*i as u + h*i and give h. 98 Express -3788*q**2 + 7582*q**2 - 3844*q**2 in the form a*q**2 + l + m*q and give m. 0 Rearrange (11*b - 3*b - 45*b)*(-2 + 0 + 0)*(-2 + 1 - 1) to the form x*b + v and give x. -148 Rearrange s**4 + s**3 - 54319 - 2*s**2 + 54177 + s + 0*s**3 to d + q*s**4 + a*s + c*s**2 + i*s**3 and give i. 1 Rearrange (-w**4 + w**2 + 0*w**4 + 5*w**4)*(-3 + 1 + 5)*(3 - 6 - 28) to t + u*w**3 + o*w + g*w**4 + p*w**2 and give p. -93 Express 2*h**2 - h**2 + h**2 + (2*h - 5*h + h)*(0*h - 5*h + 4*h) - 27*h - 55*h + 44*h + 6*h**2 in the form m + p*h + f*h**2 and give p. -38 Rearrange (1014 - 158 + 1844)*(q - 2 + 2) to d*q + f and give d. 2700 Express -116*w**2 - 128*w**2 + 223*w**2 - 2*w as y + b*w**2 + p*w and give p. -2 Rearrange (4 - 2 - 1)*(m**2 - m**2 - m**2)*(-24*m + 46*m - 11*m) to n*m**2 + x*m + o + b*m**3 and give b. -11 Express -14*z**3 - 11*z**2 + 13*z + 2*z**3 + 5 - 32*z + 21*z + 13*z**2 in the form m*z**3 + i + a*z + r*z**2 and give r. 2 Express (-22*m - 3 + 5*m + 7*m)*(0 + 3 - 1 + 0 - 2 + 3 + (-1 + 1 - 2)*(4 - 1 - 1) + 6 - 4 + 0) in the form b + c*m and give c. -10 Rearrange -3*r + 150*r**2 + 156*r**2 - 312*r**2 + 1 to v + c*r + f*r**2 and give c. -3 Express (61*k + 100 - 100)*(k - 2*k + 6*k) in the form u + x*k**2 + a*k and give x. 305 Rearrange -4 - 3*q**4 + 3 - 6 - q**4 + 4*q**4 - q**4 + (-4*q + 0*q + 2*q)*(19*q + 9*q**3 - 19*q) to s*q + b*q**4 + t*q**2 + r*q**3 + k and give b. -19 Rearrange -125*u**2 - 1 + 127*u**2 + 19 to the form d*u + n + g*u**2 and give g. 2 Express 1283*p + 1299*p - 1554*p as w*p + x and give w. 1028 Rearrange (0 - 4*x - 2 + 3*x)*(-16 + 13 - 20) + (-x - 4*x + 3*x)*(-3 + 5 + 0) to the form a*x + f and give a. 19 Rearrange (3*v - 5*v + v + (1 + 0 + 1)*(13*v - 3*v - v) + v - 3*v + 0*v)*(-5 + 4 + 2)*(-4 + 4 + v**3) to the form x*v**3 + u + y*v**4 + b*v + j*v**2 and give x. 0 Express -15*f**2 - 30*f + 68*f - 39*f in the form u + w*f + b*f**2 and give b. -15 Rearrange -196 - 469*x + 103 + 93 to the form z*x + s and give z. -469 Express 3*n + 2*n - 3*n - 3 + 3 - 2*n + (-2*n + 1 - 1)*(3 - 2 + 0) + 0*n + 0*n - 2*n + (-14 - 3
{ "pile_set_name": "DM Mathematics" }
ulate the greatest common divisor of 4 and a. 2 Suppose 0*r + 23 = w + 5*r, w - 4*r = -13. Suppose -4*l - 3*c + 474 = 0, w*l + c + 0*c - 358 = 0. What is the greatest common factor of 80 and l? 40 Let y be 16/4 + 290 + 6. Calculate the greatest common divisor of 10 and y. 10 Let c(m) = -3*m + 261. Let a be c(-13). Calculate the greatest common divisor of a and 75. 75 Suppose -5810 + 6146 = 16*c. Let o = 8 + 6. Calculate the greatest common divisor of o and c. 7 Suppose 5*b - 3*w = -6*w + 499, -101 = -b - w. Suppose 0 = -135*i + 33*i + 4284. Calculate the highest common factor of i and b. 14 Let g be 5*1*(5 - -3). What is the greatest common divisor of 35 and g? 5 Let z be (12/2)/((-13)/((-2288)/12)). What is the greatest common divisor of z and 88? 88 Let z be ((-221)/(-34))/((-3)/(-6)). Let k = 11 - 7. Suppose -k*m - 26 = -6*m. Calculate the greatest common divisor of z and m. 13 Suppose 0 = 5*v - 44 - 66. Let f(j) = 87*j**3 + 4*j - 3. Let z be ((-20)/8 + 2)/(3/(-6)). Let r be f(z). Calculate the highest common factor of v and r. 22 Suppose 71*b + 296 = 79*b. Calculate the greatest common divisor of 4 and b. 1 Let m(x) = x**3 + 6 + 10*x**2 + 13 - 10*x - 5. Let y be m(-11). What is the greatest common factor of 24 and y? 3 Let c(h) = h - 1. Let f(q) = -7*q**2 + 1. Let r be f(-1). Let l be 4/1*(-9)/r. Let n be c(l). What is the greatest common factor of 40 and n? 5 Let b be (-94 - 1)*(-13)/(455/21). What is the highest common divisor of 228 and b? 57 Let h = 18 + -12. Let c be h/12 + 90/4. Calculate the highest common factor of c and 115. 23 Suppose -5*p = -h + 22, -9*p = -2*h - 7*p + 12. Let m(v) = v**3 + 7*v**2 + 6*v + 5. Let d be m(-6). What is the greatest common divisor of d and h? 1 Let i = -94 + 117. Calculate the greatest common factor of 437 and i. 23 Let y(z) = 2*z**2 - 7*z + 18. Let g be y(6). What is the greatest common factor of g and 528? 48 Suppose 31*f = 25*f + 7200. Calculate the greatest common divisor of f and 48. 48 Let f(y) = -9*y - 58. Let x be f(-8). Calculate the highest common factor of 938 and x. 14 Let p be (1*-6 - -4)*6. Let o be (1 + (-4)/p)*6. Calculate the greatest common divisor of 16 and o. 8 Suppose -3*p + 2303 = 2*m - 1951, p + 4*m - 1428 = 0. Suppose 5*d - 2*g - 1749 = 0, -3*g + p = 4*d + g. Calculate the highest common divisor of d and 39. 39 Let t(r) = -4*r + 6. Let y be t(-6). Let q = -4362 - -4422. What is the highest common factor of y and q? 30 Suppose 3*a = 11 + 31. Let q(r) = 25*r - 42. Let c be q(a). Calculate the greatest common divisor of c and 28. 28 Suppose 59 = 2*i - 3*l, -5*i + 4*i = 4*l - 46. Calculate the greatest common divisor of 136 and i. 34 Let b be 9 + -11 - 4/2. Let v be 8/b + 32*4. What is the greatest common factor of v and 18? 18 Suppose -2*j = 2*j - 76. What is the greatest common divisor of 247 and j? 19 Let m be 2*(-24)/10*(29 - 24). Let p = m + 27. Let g be (-1 - (-18)/(-4))*-6. What is the highest common divisor of g and p? 3 Let c(y) = -y - 4. Let l be c(-6). Let g(w) = -5 + 2*w**l - w**2 + 0*w - 3*w. Let x be g(10). What is the highest common factor of x and 13? 13 Let o be (-1)/(-9) + (-260)/(-90). Suppose 2*l = 0, 4*k + 7 = o*l + 59. Calculate the greatest common divisor of 65 and k. 13 Let v = 858 + -543. What is the highest common divisor of v and 21? 21 Suppose -8 = 2*c - 48. Suppose -j = -5*j - c. Let l be 3/(-6)*4*j. What is the greatest common factor of 20 and l? 10 Let b(h) = -7*h**2 - 503*h + 85. Let m be b(-72). Calculate the greatest common factor of m and 689. 13 Suppose 361 = 10*t - 239. Let h be (72/(-14))/(9/(-42)). Let m = 36 - h. Calculate the highest common divisor of m and t. 12 Suppose -5 = 2*d - 13. Suppose -x = d*x - 770. Suppose -2*b = 5*o - 10*o + 114, -4*b - 74 = -3*o. Calculate the greatest common divisor of x and o. 22 Let k = -20 + -6. Let j = k + 47. Calculate the greatest common factor of 84 and j. 21 Suppose 22*h = 15*h + 154. Let l(c) = 6*c**2 + c - 4. Let q be l(-4). What is the highest common divisor of q and h? 22 Let n = 37 + -22. Let q(c) = -37*c - 4. Let y be q(8). Let f be ((-12)/(-15))/(-2)*y. What is the greatest common factor of n and f? 15 Let d(h) = 172*h + 16. Let f be d(4). What is the greatest common factor of f and 64? 64 Suppose -4*g = -5*f - 5*g + 160, 2*g - 64 = -2*f. Suppose i = 2*i + b - f, -i + 5*b + 8 = 0. Calculate the greatest common factor of 4 and i. 4 Suppose d + 3713 = u, 2*u - 7219 - 203 = -2*d. What is the greatest common factor of u and 29? 29 Suppose 0 = 10*c - 34 + 14. Calculate the greatest common factor of c and 190. 2 Suppose 0 = -2*n + 16 + 18. Let y be n + -2 + 0 + -1. What is the highest common divisor of y and 84? 14 Let u = -2474 - -2572. What is the greatest common factor of 3822 and u? 98 Let p(l) = -7*l**3 + 2*l**2 + 3*l + 1. Suppose 10*w + 26 = 16. Let o be p(w). What is the greatest common factor of o and 21? 7 Let j = -196 - -200. What is the highest common factor of 64 and j? 4 Suppose 11*q + 49 = 18*q. Let u(r) = -r**3 - 3*r**2 + 5*r + 5. Let m be u(-4). What is the highest common divisor of m and q? 1 Let t(x) be the first derivative of x**3 + 3*x**2/2 - 6*x + 1. Let k be t(-7). Suppose 5*u - 6*u = -k. What is the greatest common divisor of u and 20? 20 Suppose -3 = 2*x - 7. Let a(m) = -2*m**2 + m**2 + 7*m**2 - x + m + 0*m. Let y be a(3). Calculate the highest common factor of y and 5. 5 Let u = -85 - -145. Suppose 0*c = -4*c + 4*l + 80, 0 = -4*c - 5*l + 35. Calculate the greatest common divisor of u and c. 15 Let x = -771 + 791. What is the greatest common divisor of 64 and x? 4 Let q(d) = -d**3 + 12. Let g be q(0). Let z = -3 + g. Suppose 0 = 17*s + 5*s - 198. Calculate the highest common divisor of z and s. 9 Let k be (-5)/(30/(-4))*6. Suppose 0 = -0*n - k*n. Suppose 0 = 5*i - 5*d - 10, -i + n*d = 2*d - 11. Calculate the highest common factor of i and 20. 5 Let k be (3 - (-74)/(-26)) + 999/13. Suppose -4*m + 10 = m. Suppose -8 = -m*d + 14. Calculate the highest common divisor of k and d. 11 Suppose 2*d - 30 = -3*d + 3*a, 5*d - 20 = 5*a. Calculate the highest common factor of 9 and d. 9 Let h(p) = -104*p - 1231. Let a be h(-12). What is the greatest common factor of 1411 and a? 17 Let n be 12/15 + 567/35 + -4. Calculate the highest common divisor of n and 481. 13 Suppose -4*g = -k + 7, 2*k + 13 = 5*k - 4*g. Suppose -k*r = -70 - 26. What is the highest common factor of 4 and r? 4 Suppose 9*w - 4864 = -7*w. What is the greatest common factor of w and 16? 16 Suppose g = -13*k + 8*k + 260, -3*k = 3*g - 756. What is the greatest common divisor of g and 20? 10 Suppose 0 = -5*q - 3*m + 8*m + 25, 2*m = -q - 10. Suppose q = -4*x + 12, -69 = -0*r - 4*r + x. Calculate the greatest common divisor of r and 45. 9 Let r(q) = -3 + 29*q - 17*q - 14*q + 29. Let k be r(13). Suppose -6*d + 2*d + 196 = k. Calculate the highest common divisor of 7 and d. 7 Let r(s) = s**3 - 5*s**2 - 80*s - 12. Let b be r(-6). Calculate the highest common divisor of 24 and b. 24 Suppose 4*w - a - 25 - 34 = 0, -4*w - a + 53 = 0. Suppose -3*v + 3 = -18. Calculate the greatest common factor of v and w. 7 Suppose -56 = -7*z + 3*z - 2*a, -44 = -4*z + a. Let n = z - 6. What is the highest common divisor of n and 12? 6 Let r be (-8 + 2 + 9)*65. What is the greatest common divisor of 78 and r? 39 Let b = 5 - 5. Let o be 1 + (-1 + b - 70). Let n be ((-2)/4)/(7/o). What is the highest common divisor of 25 and n? 5 Suppose z = -1 + 5. Suppose 5*d - z = 2*v, 2*v = -2*v + d + 28. Calculate the highest common divisor of v and 40. 8 Suppose 0 = -34*b - 10*b + 13156. Calculate the highest common divisor of 1 and b. 1 Suppose 4 = -10*i + 14*i, i = 2*a - 33. Calculate the highest common divisor of a and 221. 17 Let d be (448/7)/(-8) + 206. What is the highest common divisor of d and 88? 22 Let w(k) = k**3 - 4*k**2 + 3*k - 4. Let t be w(3). Let r be (-1)/t - (-75)/4. Calculate the greatest common factor of r and 76. 19 Let o = -43 + 7. Let d be 2/(-9) + 100/o. Let b be (-4)/(-6) - 328/d. Calculate the highest common divisor of 44 and b. 22 Let h = 901 + -685. What is the highest common factor of 90 and h? 18 Suppose 4*f = 4*x + 2*f - 160, -x + 5*f = -40. What is the greatest common divisor of x and 190? 10 Let b(n) = -70*n + 60. Let j be b(-4).
{ "pile_set_name": "DM Mathematics" }
-2566048 + -438. -2566486 Work out 1238963 - -1247. 1240210 What is 0 take away 1013.619625? -1013.619625 What is the distance between 132.363 and -19.976? 152.339 Subtract -22736970 from 54. 22737024 383198945 - -0.15 383198945.15 Sum 15937.7 and -222. 15715.7 -1902 + -0.22278 -1902.22278 What is the distance between -5.7628816 and 0.4? 6.1628816 What is -4691307698 plus -4? -4691307702 What is 21 less than 119438.19? 119417.19 0.7 + -232957986 -232957985.3 Add together 10691 and -26943. -16252 What is 102 less than 40.2191? -61.7809 -0.07 + -30277227 -30277227.07 Subtract -51 from -24550420. -24550369 -21284 - -20858 -426 Add -8 and 18496.43. 18488.43 What is -227.91887483 - -0.5? -227.41887483 What is -9064004 - 1.53? -9064005.53 Sum 9.75327 and -0.1. 9.65327 What is 21.8 less than 291714? 291692.2 Add 166.3 and 1262.14. 1428.44 What is 26945.397 less than -0.1? -26945.497 What is -0.325 - 51463063.8? -51463064.125 Work out 13065656 - -191. 13065847 What is the distance between -338656.9 and -0.0962? 338656.8038 What is 20.78647 plus -25? -4.21353 Calculate 80 + 7399.692. 7479.692 Put together 1.0912221 and 0.5. 1.5912221 What is 5 less than 108656216? 108656211 Total of 1506 and 6.8234. 1512.8234 Calculate 4 + 2818899. 2818903 Total of -10863837 and -0.06. -10863837.06 -701044092 - -0.2 -701044091.8 -10 - 9.7129927 -19.7129927 Calculate 3791153415 + 59. 3791153474 What is the distance between 0.02096013 and 327? 326.97903987 What is -20.42 - 172573.6? -172594.02 Add together -13893 and 20081. 6188 What is 3176 minus -322.03858? 3498.03858 What is 1696986.31 minus 141? 1696845.31 -1+-9343.5972 -9344.5972 Work out 20421952012 - -4. 20421952016 What is the difference between 1635704524 and 7? 1635704517 Sum 74.8625 and 1340. 1414.8625 Calculate -5163 + -53638. -58801 Total of 5.2 and -190770. -190764.8 Put together 127.4 and 52514. 52641.4 What is 760 plus 0.5447? 760.5447 Work out 523760 + 11.41. 523771.41 What is -0.0221205337 + -0.01? -0.0321205337 Calculate 0.22 - 995695. -995694.78 -7131.7 - 0.03 -7131.73 666405 - -0.155 666405.155 -446+40.43152 -405.56848 Sum -0.0322156861 and -3. -3.0322156861 What is the distance between -8389 and -14.581? 8374.419 -402690 - -184 -402506 Put together 36.033 and 3.57. 39.603 What is the distance between 4.62375372 and 0.07? 4.55375372 What is 0.0568 take away -2443930? 2443930.0568 2.35 - 3970568 -3970565.65 What is 0.0377555 less than -226? -226.0377555 -9083557572+-4 -9083557576 What is -268.7 - 2284? -2552.7 Calculate 0.066750417299 + -5. -4.933249582701 Subtract 163.4508 from 1799. 1635.5492 Put together -0.06 and -2646.44335. -2646.50335 Work out 217699.8 + 40.45. 217740.25 Add together -44117.028 and -0.26. -44117.288 What is -14805531 + 62.1? -14805468.9 What is 0.256 less than -1014857? -1014857.256 -0.0887784+5.5 5.4112216 Work out -1604 + 18.3567. -1585.6433 What is -0.4376 - 0.849? -1.2866 Put together 8.6 and -109076. -109067.4 What is 1.939 + -1.2948312? 0.6441688 What is the difference between 13.87713 and 1? 12.87713 Put together 5 and 59753.42. 59758.42 What is -234.2434 + 12.1? -222.1434 What is the distance between -51597 and 933? 52530 What is -0.34852 take away -2009674? 2009673.65148 What is -2623.2 take away -0.03? -2623.17 What is 303742598 plus -1.19? 303742596.81 What is -2534 minus -3.178? -2530.822 Put together 7475 and 0.0446504. 7475.0446504 Put together -12689.21 and -1.4. -12690.61 Add together 109863.73 and -2. 109861.73 What is 0.5 less than -11826175? -11826175.5 What is -114724 + 0.386? -114723.614 Add -0.0012577167 and -0.1. -0.1012577167 -211.134 + 13.3 -197.834 What is 113.2 - -3060.0747? 3173.2747 Calculate -1886.12 - 16249. -18135.12 What is -61230262 - 50? -61230312 What is -22143402 take away 19? -22143421 What is -65 plus 18.73853? -46.26147 What is the distance between -97614 and -10? 97604 What is -1635.4796 minus -54? -1581.4796 What is the distance between 0.5 and -7885.244416? 7885.744416 What is 0.1 + -611.5201248? -611.4201248 Put together 2.8 and -9096208. -9096205.2 Sum -49.271 and -613146. -613195.271 Work out 2722520403 + 0.3. 2722520403.3 422695174 + 7.9 422695181.9 What is 229540 plus 1.17? 229541.17 269.991+133.85 403.841 What is -10162 - 729583? -739745 What is -42824 plus -29? -42853 Add together -3599701945 and 0.02. -3599701944.98 Calculate -23526 - -805. -22721 -5597434+-0.043 -5597434.043 What is -0.042 + -794.4284? -794.4704 What is 2465 less than -12504? -14969 Work out 0.11 + 2050217.911. 2050218.021 Subtract -6.52502 from 4. 10.52502 What is -260356458 plus 2.8? -260356455.2 What is -1770.2 - 5225? -6995.2 What is 75290.24 take away 4? 75286.24 Subtract -0.4 from -2712723664. -2712723663.6 What is -15623 take away 0.1151? -15623.1151 What is the difference between 12.46 and 0.085? 12.375 Calculate 81.78996 + 2299. 2380.78996 Work out 3408905139 - 2. 3408905137 Total of -0.01232939132 and 0.4. 0.38767060868 Add together -15.274 and 16473. 16457.726 -1 + -4413722 -4413723 Work out -3595 - 1136263. -1139858 Calculate 365829913 - -5. 365829918 Work out 0 - 2608428550. -2608428550 Work out -4 - 17.2550909. -21.2550909 Work out -59.68 + 4078. 4018.32 Calculate 25.77581 - -5.2. 30.97581 Subtract 18137847 from 2. -18137845 What is -3 minus -15315241? 15315238 Add together -2696.8810188 and -4. -2700.8810188 Work out 0.3527242 - -0.191. 0.5437242 Work out 1543896 + -51.1. 1543844.9 What is 278734 - 0.47? 278733.53 What is -1113.9492 + -1? -1114.9492 What is -28544867 take away -0.04? -28544866.96 What is 8121 plus 192849? 200970 Put together -1 and 1132.0564. 1131.0564 Calculate 182708056 + -13.1. 182708042.9 What is 363.8375 + 9? 372.8375 Subtract -12420650839 from -0.5. 12420650838.5 Work out 47577 + -168.74. 47408.26 What is 6 - 6909264628? -6909264622 Subtract 4 from 47649164. 47649160 Add together -917203 and 312.4. -916890.6 -1.26 + 984 982.74 What is -1045 minus 39961? -41006 What is the difference between 91 and -160306? 160397 Calculate -4.4648587 - 0.026. -4.4908587 Add together 4 and 212825847. 212825851 What is -3547 - 36179491? -36183038 Put together 0.08 and -1454010239. -1454010238.92 What is 1 plus -2632652? -2632651 What is the difference between -4410237977 and -2? 4410237975 Work out -85 - -9074756. 9074671 -0.1 - 2063.13854 -2063.23854 Add together -18 and -795615. -795633 Calculate 906359 - -9754. 916113 Work out 0.107995900047 - 0. 0.107995900047 What is the distance between 138 and -27.31921? 165.31921 What is -0.2 less than 742619? 742619.2 Calculate -0.1 - 128136125. -128136125.1 Put together 324305.56 and -3. 324302.56 What is -2484 + 6495? 4011 What is -39566.9 - 22278? -61844.9 What is -13263.474563 - -1? -13262.474563 What is the difference between -32559.4472 and 375? 32934.4472 Work out -44.07 + -6963. -7007.07 What is 1824060736 take away 0.7? 1824060735.3 What is -29.23 minus 723? -752.23 Total of 6816653041 and -6. 6816653035 What is the difference between 1740 and 8808486? 8806746 Subtract 785862 from -0.62. -785862.62 Put together -5662849809 and 1. -5662849808 Calculate -32794950 + 284. -32794666 Add together -38 and -344632686. -344632724 What is -562 less than 3121? 3683 300843.08 - 0 300843.08 What is 17.149455 + 0.76? 17.909455 Calculate -2147326 + 1.1. -2147324.9 Calculate -2.04 - 98.2671. -100.3071 What is -0.2 plus 117.6636? 117.4636 Add 158.5 and 0.8722. 159.3722 What is 2.17 take away 19948121? -19948118.83 What is -0.249189 less than 0.0289? 0.278089 Work out -6759 + -222.2113. -6981.2113 Add together -25 and 176335922.7. 176335897.7 What is 7.5351 take away -49150? 49157.5351 Sum -1109470.7 and -157.6. -1109628.3 Work out -166.17 - 155995. -156161.17 -154453.89 - 8 -154461.89 What is -0.033034 take away 43777? -43777.033034 Subtract 0.1 from 0.21112342. 0.11112342 Work out -8273658 - 0.017. -8273658.017 What is the difference between -4977 and -1830167? 1825190 Sum -0.16414 and 1612. 1611.83586 Calculate -5938444 - -139.1. -5938304.9 Sum -0.2 and 62805.68. 62805.48 -3.1+-0.0148033 -3.1148033 Calculate -0.2 - -1.415705353. 1.215705353 Work out -44843269315 - -0.4. -44843269314.6 Calculate -1325314.3 - 0.2. -1325314.5 -356+412.10497 56.10497 -3824337 - 0.27 -3824337.27 10112786 + 50 10112836 Cal
{ "pile_set_name": "DM Mathematics" }
6)/q - -7 - 344/58. 232 Suppose 82 = 6*c - 158. Suppose -3*g = 2*d - 54, 2*g = 2*d - 3*d + 28. What is the smallest common multiple of d and c? 120 Let f = 7805 + -7533. Calculate the smallest common multiple of f and 68. 272 Suppose -v - 3*g = -0*v - 11, g + 18 = 4*v. Suppose m + 4 = v*m. Calculate the common denominator of (155/(-200)*2)/m and 1/18. 180 Let k = 263057/31770 + -4/1765. Find the common denominator of 3 + (-128)/6 + -2 and k. 18 Let u = 1763 + -1718. What is the least common multiple of 378 and u? 1890 What is the common denominator of -85/8 and (1/(-6))/((-80)/68)? 120 Suppose 2*m + 0*a - 12 = 2*a, 4*a + 16 = 0. Let t(j) = -j**2 - 6*j + 20. Calculate the lowest common multiple of t(-8) and (32/24)/(m/3). 4 Let v = 1/2553 - 16172/7659. What is the common denominator of -4*1/(-524)*50 and v? 1179 Let o be (-2*(-3)/(-270))/((-15240)/(-3736170)). Let x = o + -4/1905. Calculate the common denominator of 81/20 and x. 20 Let k = 982 - 950. Calculate the least common multiple of k and -1*((50/(-2) - -2) + 3). 160 Let n = -929191609/20 + 46477378. Let u = 17802 - n. Find the common denominator of u and (-57)/(-16) - (-3)/(-12). 80 Let r be 7/((-126)/(-30))*3. Suppose -2*n + 12 = n, -s + r*n + 196 = 0. Calculate the smallest common multiple of s and 2. 216 Let n(l) = 5*l**2 - 13. Suppose -2*t - 29 + 10 = 3*d, -d + 3*t = -12. What is the least common multiple of n(d) and 40? 160 Let a = -12522 + 12594. What is the least common multiple of a and 477? 3816 Let h = 6523/12915 + 40/287. What is the common denominator of h and ((-16)/(-400))/((-4 - (-1 - 2))*1)? 225 Suppose -2*o + 3*n = -9, 0*o - 17 = -5*o + 2*n. Suppose z + 42 = o*z. Let l = z - -39. What is the smallest common multiple of l and 18? 180 Let g be (30 - (1 + 0))*3. Let x = 1894 - 2026. What is the common denominator of (0 - (2 + -5))/(x/g) and 103/36? 396 Let p = -4864 - -5002. What is the least common multiple of 57 and p? 2622 Let c = 29 + -10. Let h(w) = -w**2 + 16*w + 69. What is the least common multiple of 48 and h(c)? 48 Let f(n) = n**3 + 6*n**2 - 6*n + 12. Let r be f(-7). What is the common denominator of 3/r - 11/((-1320)/643) and 9/8? 24 Let l(x) = 154*x**2 + 4*x + 2. Let c be l(-1). Let p = 78 - c. Let z = p - -94. What is the least common multiple of 88 and z? 440 Let s(d) = d**2 + 7*d - 10. Let n(x) = -11*x + 98. Calculate the smallest common multiple of n(6) and s(-10). 160 Suppose 479 - 95 = -8*p. What is the common denominator of p and (2/538)/((-6)/22)*-6? 269 Let v(r) = 6*r**3 + r**2 - 3*r + 2. Let i(w) = 6*w**2 + 120*w + 610. What is the smallest common multiple of i(-7) and v(2)? 192 Find the common denominator of -142*(-20)/(-120)*(-3)/(-350) and 121/560. 2800 Let f = -161/241 + 2741/65070. What is the common denominator of f and -83/14? 1890 Suppose -3*u + 3*l - 33 = 2*l, -4*u = -l + 45. Let h(z) = 45*z - 48. Let p be h(1). Find the common denominator of (-14)/p*(-21)/u and -9/26. 78 Let j = -5075 - -40505/8. Find the common denominator of -81/8504 and j. 8504 Let s(x) = -11*x - 8. Let i be s(-6). Suppose 3*w = 3*p + 81, -2*w = -0*p - 3*p - i. Suppose -5*k = w - 103. Calculate the smallest common multiple of k and 20. 80 Let z = 561186820/1083 + -518178. Calculate the common denominator of z and -5/171. 3249 Let c be (-1 - 1) + (705419/(-30690))/13. Let u = 3/310 - c. Find the common denominator of u and -47/29. 261 Let y be -4 + 2 + (-1)/(4/(-484)). Suppose y*x + 56 = 127*x. Calculate the lowest common multiple of x and 9. 63 Calculate the least common multiple of 10/(-2) - -1 - (28 + 33 + -72) and 1158. 8106 Let l(d) = d**2 - 3*d + 100. Suppose j - 5*z - 25 = 0, 2*j - 5*z - 25 = -j. Let g be l(j). Let y = g - 24. Calculate the least common multiple of y and 6. 228 Let p be 120/420 + -146*2/(-7). Suppose p*z = 15*z + 324. Suppose 0 = -0*f - 4*f + 32. What is the lowest common multiple of z and f? 24 Let d be (0 - (-3)/(-3))/((-2)/546). Let g = -3283/12 + d. Calculate the common denominator of g and 49/12. 12 Let i(w) be the second derivative of 1/6*w**3 + 0 + w + 8*w**2. What is the lowest common multiple of i(-4) and 16? 48 Let f = 2019649/4620 - 3060/7. Calculate the common denominator of 197/1260 and f. 13860 Let o = -2975/147079 + 626662159/7196575470. Let k = o + -30/233. What is the common denominator of 89/2 and k? 210 Let q = 674 + -288. Let c = 3487/9 - q. Find the common denominator of ((-300)/81 - -3)/((-18)/36) and c. 27 Suppose -43*n + 2 = -42*n. Let p = 3 + -47. Calculate the lowest common multiple of (-1)/(n*2/p)*2 and 16. 176 Let k(s) = -36*s + 20. Calculate the lowest common multiple of 70 and k(-1). 280 Let u = 2/25935 + -2100823/1141140. Calculate the common denominator of u and 8/363. 1452 Let v = -73 + 72. Let p(l) = -17*l**3 + 2*l**2 + 2*l + 1. What is the least common multiple of 16 and p(v)? 144 Let g = -427100672/76935 + -107/61548. Let y = 5554 + g. Find the common denominator of -101/22 and y. 220 Let w be (35034/21)/(72/147). Let i = -3398 + w. Let v = -34129/18183 - 1/551. Calculate the common denominator of i and v. 132 Let q = -139872 + 73432867/525. What is the common denominator of q and -79/8? 4200 Let c(h) = -h + 1. Let n be c(-3). Let b be (-3276 - (2 - n)) + 3 + -1. Calculate the common denominator of -5/24 and b/(-672) - ((-9)/(-7) - 1). 24 Suppose -2*m - 2*w - 16 = 0, -9*w + 4*w - 28 = m. What is the common denominator of (-6 - (-336)/54) + 1646/288 and 52/24 + m + 1? 48 Let g(h) = 3*h - 15*h**3 - 13*h**3 + 6 + 36*h**3 - 14*h**3. Calculate the lowest common multiple of 20 and g(-2). 240 Let i = -3/196819 + -871147/31491040. Let g = -12427/12320 + i. Let y = 149537/35 + -4271. Find the common denominator of g and y. 385 What is the common denominator of -23/8 and (-2)/(-10) - (71687/(-1530))/(-77)? 1224 Let x = 6455/888 + -104/37. Let y = -2228 - -53603/24. Find the common denominator of x and y. 24 Let h(p) = 66*p + 1454. Let i be (3/2)/(12/32). Suppose -i*u + 8 = -0*u. Calculate the lowest common multiple of h(-22) and u. 2 Let b be (298/(-4))/(-6 + 13116/681). Let g = b + -19/602. Find the common denominator of 5/(-18) + (-6)/27 and g. 20 Suppose -13 = -6*y + 2*y + 3*n, 4*n = 4. Let u be ((-22)/(-6))/(y/(-180)). Calculate the least common multiple of 40/15*u/(-4) and 6. 330 What is the common denominator of (-36)/80*(-705)/(-604) - 33/(-66) and 93/3020? 12080 Let g(r) = -r**3 + 387*r**2 + 1544*r + 7970. Suppose -23 = -4*n + 97. What is the lowest common multiple of g(391) and n? 150 Let y(l) = -l**3 + 12*l**2 - 10*l - 9. Let m be y(11). What is the lowest common multiple of 35 and 243/m + 220/(-88)? 595 Let z = 962/791 - 686123/469854. What is the common denominator of -19/216 and z? 2376 Let z be ((-1)/42)/((-4)/40982). Let y = z + -1728/7. Let l = -103867/20 - -5195. What is the common denominator of y and l? 60 Let r = 312 + -132. Suppose -17*m + 2 = -j - 20*m, 2*m = 5*j - 58. Calculate the smallest common multiple of j and r. 180 Let i = -14414158051/3876 - -3718823. Calculate the common denominator of 137/510 and i. 19380 Let p = 38 - 24. Suppose -3*n = -129*t + 130*t - 121, -2*t + 252 = -4*n. Calculate the smallest common multiple of p and t. 868 Let p(k) = k**2 - 5*k - 4. Let g be p(7). Let f(u) = -u**2 + 4*u + 8. Let r be f(g). Let w = r + 58. Calculate the least common multiple of w and 3. 6 Let a be 5/(-343)*(-162)/45. Let q be (-2 - 2) + (-1)/(-3430)*54014. Let w = q + a. What is the common denominator of w and 47/10? 10 Calculate the common denominator of 11/(-3) + 1689815/448950 and -41/365. 730 What is the least common multiple of 5738/57 - (-3)/(18/(-4)) and 4/3 + 1720/60? 300 Let o be 6/33 + (-1052)/(-22). Suppose 48 + o = 3*f. What is the least common multiple of f and 44? 352 Let d = 874 - 877. Calculate the common denominator of 17/12 and 77/626*d/(-21). 3756 Suppose 2*b - 11 = -3*l, 0*b - 16 = 4*l - 5*b. Suppose -22*q = 21*q - 27*q. Let p = q + l. What is the least common multiple of p and 11? 11 Let s = 987 + -986. Calculate the lowest common multiple of ((-108)/(-30) - 6)/(s/(-25)) and 140. 420 What is the common denominator of 139/12 and (-871)/91 + 9 + 2355/6804? 324 Let l = -15163489/24747036 - 2/363927. What is the common denominator of l and 83/33? 2244 Let w be (((-20)/3)/2)/(2/87)
{ "pile_set_name": "DM Mathematics" }
f. Let i(h) = 8*h**2 + 5*h - 8. Let y(o) = i(o) + 2*j(o). Let l be y(-7). Let p = l - 166. Is p a composite number? True Suppose 3*d = -2*t - 2*d + 20, 16 = -5*t + 4*d. Suppose t = -5*w + 917 + 1068. Is w a prime number? True Suppose 33887 = 8*r - r. Is r composite? True Let g(z) = 748*z + 57. Is g(4) composite? False Let q = 2691 - -6770. Is q prime? True Let h(d) = 9 - 13*d + d**2 + 21*d + 0. Let l be h(-7). Suppose 2*y - 448 = -q - 7, -456 = -l*y + 2*q. Is y a prime number? True Suppose -2*z + 1600 = -4*j + 6*j, -3*z = 4*j - 3204. Suppose j = 4*d - 264. Suppose 4*w + 0*y - 356 = -4*y, 3*w = 4*y + d. Is w a composite number? False Suppose 0 = -5*j - 0*j - 4*m + 69435, 3*j - 41683 = 2*m. Is j composite? True Let f be (-11)/55 - 92/(-10). Let m be (f/(-12))/((-5)/(-740)). Is (m/15)/(1/(-5)) composite? False Let n(g) = -g + 9. Let r be n(7). Suppose -3*h + 3*a + 1748 = r*a, -4*h - 5*a = -2337. Is h composite? True Suppose 2*y - 55016 = 2*z, -4*y + 100391 = 2*z - 9647. Is y composite? False Suppose 2622 - 62 = 2*q. Is 1 - (-3)/(15/q) prime? True Suppose -5*g - 7453 = -6*g. Is g prime? False Suppose -w = 5*z - 572, 0 + 3 = -w. Let u = z + -24. Is u prime? False Let j(x) = 2*x + 17 - 1 - 5*x. Let g be j(0). Suppose t + 1 = g. Is t a prime number? False Let f(l) = 9*l - 457. Let x be f(0). Let b = 2160 - x. Is b prime? True Let n(q) = 2*q - 4. Let c be n(6). Let r = 6 - c. Is (r - -625)/(2 - 1) a prime number? False Let z(d) = 189*d - 67. Is z(10) a composite number? False Let z(b) be the first derivative of -b**3/3 - 3*b**2/2 + 491*b + 13. Is z(0) prime? True Let l = 93 - -55. Suppose r + l = 3*r. Suppose 2*g = 4*g - r. Is g a composite number? False Let a = -90 + 87. Is a + (-43)/(-3) - 1/3 a prime number? True Suppose -4*p - 2*d = 0, 3*d = -p - 4 - 6. Is (-1*1)/(2*p/(-2564)) a prime number? True Suppose -2*d = 38 - 328. Let a = 77 - d. Let x = a + 103. Is x composite? True Let u = 8278 + -4761. Is u a prime number? True Is (3/(132/40909))/((-1)/(-4)) a prime number? True Suppose -4*m + 5*j + 14273 = 3401, 5*j - 20 = 0. Is m composite? True Let o(q) be the second derivative of 55*q**3/3 - 7*q**2/2 - 5*q. Is o(18) a composite number? False Let c be 0 - 2 - -3*(-6)/(-9). Is (c/2 - (-8)/2) + 207 prime? True Suppose 5*i = 4*i - 1115. Suppose 0 = -2*n + y - 1301, -2*n - 2*y - 1286 = -0*n. Let o = n - i. Is o prime? True Suppose l + 5 - 5 = 0. Suppose 6*m + l*m = 2922. Is m a composite number? False Suppose 5*q + 5*w - 53 = -8, -w = -4. Is -2302*(13/(-65))/(2/q) a prime number? True Is (-8067)/(-12) - 6/(-8) prime? True Let w be 11 + (0 - 4/2). Let h = w - 9. Suppose 881 = 5*q - v, -2*q + h*v = v - 358. Is q composite? True Let w = 31 - 29. Suppose -w*i - 1564 = -2*n, -i + 1972 + 386 = 3*n. Is n prime? False Suppose -17*y = -32*y + 27915. Is y prime? True Let v(n) = -274*n + 2. Suppose 0*b - 3*b + 41 = -5*m, 3*b - 29 = 2*m. Let k be v(b). Let t = -1029 - k. Is t prime? True Let c = 6 + -1. Let w be (-1146)/(-8)*(-32)/(-12). Suppose 7*p - c*p - w = 0. Is p a prime number? True Let p(s) = -s**3 + 2*s**2 + 7*s + 9. Let a be p(4). Suppose 4*c - 686 = -a*d - 209, c + d = 119. Is c composite? True Suppose -71789 = -11*w + 36429. Is w a prime number? False Let z(p) = p**3 - 4*p**2. Let i be z(4). Suppose i = 5*v + 2*f - 571, f + 2 = 5. Is v - -4*(-4)/8 a composite number? True Let u(h) = 16*h**2 + 7*h - 7. Let z = 10 + -16. Is u(z) a prime number? False Suppose 0 = 3*r + v - 2752, v - 313 = -r + 601. Let g = -408 + r. Is g composite? True Is (-14 + 18)*(-10028)/(-16) composite? True Suppose 0 = -2*z - 0*z + 8. Suppose -10 = z*w + 54. Let v = w + 41. Is v a composite number? True Suppose 14*b + 47108 = 175166. Is b prime? False Let l = 59 - 21. Let u = -1 + 4. Suppose 2*f + l = u*f. Is f prime? False Let b(s) = 2*s**3 - s**2 + 3*s - 2. Let x be b(-3). Let y = 59 - x. Is y a prime number? False Suppose -2*k = 2*p - 164564, -106*k + 107*k - 82278 = 3*p. Is k prime? False Let i(f) = 2081*f**2 - 15*f + 11. Is i(1) a composite number? True Suppose 4*r = -2*p + 18756, r - 5826 = p - 1131. Is r a composite number? False Suppose 12 = 4*k, -2*p - 5*k = -2 - 1. Let l(c) = -35*c + 13. Is l(p) a prime number? True Let j be 5/(-35) - (-446)/(-14). Let b = 525 - j. Is b composite? False Suppose 0 = -13*z + 9398 + 11285. Is z prime? False Let k(u) = -8*u**3 - 5*u**2 + 2*u + 1. Suppose -q + 24 = -4*l, 2*q + 7 = -3*l - 0. Let d be k(l). Suppose 0 = 4*i + d - 3390. Is i composite? False Let y(s) be the second derivative of s**4/12 + 7*s**3/3 + s**2 + 5*s. Let u be y(-14). Is u/(-3) + 27013/51 a composite number? True Let n(d) = -4*d + 16. Let p(t) = -5*t + 16. Let m(w) = 6*n(w) - 5*p(w). Let b be m(-14). Is (-4)/b + (17 - -112) composite? False Let k(f) = f + 9. Let g be k(-4). Suppose -n = 2*w - 1065, 690 + 340 = n - g*w. Is n prime? False Suppose 18 = 3*q + 12. Suppose -q*r + 256 = -1190. Is r prime? False Let p be 18/3*-23 + 2. Suppose -u - 530 = 3*f, -3*f + 7*f - 12 = 0. Let i = p - u. Is i a prime number? False Let j(y) = 5*y + 8*y - 4*y + 0*y - 7 + 3*y**2. Is j(-11) a composite number? False Suppose -74*m - 536862 = -80*m. Is m prime? True Suppose 0 = 4*x - 4*y + 3*y - 15, -5*x + 20 = -y. Suppose 2*d + 758 + 1777 = 5*q, x*q + 3*d = 2560. Is q a prime number? True Suppose 0*h - 13035 = -5*j - 5*h, 0 = 2*j - 5*h - 5228. Is j prime? True Let v = 70 - 65. Suppose v*q - 2*o + 23928 = 86515, -2 = 2*o. Is q a prime number? True Let d be (-836)/7 - (-20)/(-35). Is ((-194)/3)/(16/d) prime? False Let m be ((35/6)/7)/(4/24). Suppose 0 = m*n - 15, 4038 = -3*d + 6*d + 3*n. Is d a composite number? True Suppose -1705 = -5*f + 5*n, f - 3*n - 242 - 97 = 0. Suppose i - 414 = -s, -i = -s - f - 66. Is i a composite number? True Let q(a) be the first derivative of a**3/3 - 2*a**2 - 3*a + 3. Let z be q(3). Is (-2)/z - 848/(-12) a prime number? True Let y = -19 + 21. Suppose -13 = -y*c + 4*n + 7, 5*c - 4*n - 20 = 0. Suppose 4*u - 7*u + 573 = c. Is u a composite number? False Let c be (103*(-2 + 1))/1. Suppose -y + 234 = 4*d, -5*d + 925 = 4*y - 0*d. Let k = y + c. Is k composite? False Suppose 2*j - 3*p = 124 + 280, 4*j - 824 = -2*p. Is j prime? False Let a = -79 + 158. Suppose -5*y + g + 395 = 5*g, y - 3*g = a. Is y a prime number? True Let f = 1202 + -571. Let z = f - 145. Suppose -s - i + 4*i = -z, -3*s - 3*i = -1398. Is s a prime number? False Suppose 7*a - 10*a + 4*h = -10268, -3*h - 13700 = -4*a. Let y = a + -157. Is y composite? False Let k(m) be the first derivative of -14*m**2 - 39*m - 16. Is k(-19) a composite number? True Let p(q) = q**3 + 32*q**2 + 33*q + 75. Suppose r - 3*v = 5*r + 115, -4*r - 5*v - 109 = 0. Is p(r) composite? False Let k = 10294 - 4887. Is k prime? True Let c be (-1036)/37 + (-5)/1. Suppose 5*i = -4*k - 520, -4*i + 3*i + k = 104. Let y = c - i. Is y composite? False Is (-4)/(-5)*(-840620)/(-88) prime? False Is 9 - (-77907)/36 - (-1)/(-12) a prime number? False Suppose -4*z = 3*u - u - 20, 4*z - 4 = 2*u. Suppose -2*n + 5*l + 316 = 0, 0*n + u*l + 474 = 3*n. Is n composite? True Let j(c) = -c**2 - 3*c + 2. Let y be j(-4). Let l be 6 + (-1 - 1)/y. Suppose l*q + 169 = 2*n + 2*q, -5*n + 470 = -3*q. Is n composite? False Let j = 19 - 13. Suppose 8*x - 226 = j*x. Is x a composite number? False Is 3 + ((-2)/4)/(1/(-5204)) composite? True Let h(a) = -147*a - 8. Let i(p) = 1. Let q(d) = h(d) + 3*i(d). Is q(-6) a composite number? False Suppose -6*r + 140 = r. Suppose r*j = 15*j + 545. Is j a composite number? False Let i(c) = 8*c**2 + 16*c + 283. Is i(-20) composite? False Let c(l) = -5*l**3 - 15*l**2 - 4*l + 3. Is c(-7) composite? True Let s be (-2)/7 - 244761/77. Let g = s - -5687. Is 4 + g/((-4)/(-1)) a prime number? True Let l(z) = 3168*z**2 + 35*z + 145. Is l(-4) prime? False Suppose 3*b - 2*h = 10543, -4*b + 2*h + 13907 = -147. Is b prime? True Let l be 3 + (0 - 2) + 0. Let y be (355/20)/(l/4). Let t = -33 + y. Is t prime? False Let h = 281 + -612. Is -4*(-4)/((-16)/h) prime? True Let o = 5415 + -2934. Is o a prime number? False Suppose -5*h + 4 - 19 = 0. Let o be (-9)/(3/1) - h. Suppose o = 2*t + t - 111. Is t composite? False Suppose 32*z = 29*z - 300. Is (80/z)/((-2)/(-5)) - -421 prime? True Let v(u) = u**2 + 3*u + 425. Let y be v(0). Suppose -30*k + y = -25*k
{ "pile_set_name": "DM Mathematics" }
ors of s(20). 2, 17, 23 Suppose -4*u + 36326 = -j, 0 = -4*u - 2*j + 14536 + 21796. What are the prime factors of u? 2, 19, 239 Let r(b) = b - 5. Let f be r(7). Let m be 8/3*(-513)/(-6). Suppose 4*x - 444 = -f*i, -x - x = -2*i - m. What are the prime factors of x? 2, 7 Let l = -18684 + 45121. List the prime factors of l. 26437 Let r be (15/(-6) + 0 + 3)*8. Suppose 239 = -r*a + 5*a - 3*s, 0 = -2*a - 3*s + 442. List the prime factors of a. 227 Let z(h) = -4*h + 3. Let k be z(-2). Suppose -7*r + k*r - 20 = 0. Suppose -r*g + g + 1172 = 0. What are the prime factors of g? 293 Suppose 16 = 4*x + 16. Suppose x = -4*c + 1627 - 399. List the prime factors of c. 307 Suppose 4*y - 42471 = x, 403*y - 398*y - 5*x = 53070. List the prime factors of y. 7, 37, 41 Let d be (-6)/(-7)*28/6. Suppose -224 = -4*b - d*c + 2*c, c - 168 = -3*b. Let p = b + -27. What are the prime factors of p? 29 Let s(t) = 5 + 2*t**2 + 4 - 44*t - 2 - 3*t**2. List the prime factors of s(-20). 487 Let b(j) = 7*j**2 - 13*j - 20. Let o(a) = 5*a**2 - 13*a - 19. Let h(n) = 3*b(n) - 4*o(n). What are the prime factors of h(9)? 2, 107 Suppose -2*r = 282 - 12226. What are the prime factors of r? 2, 1493 Let h = -43 - -45. Suppose -r = 3*y + 66, h*r + 133 = -2*y - 3*y. Let v = 99 + r. What are the prime factors of v? 2, 3, 5 List the prime factors of ((39 - 2) + -47)*(-10266)/10. 2, 3, 29, 59 Let r(y) = 3*y**3 + 2*y**2 - 3*y - 7. Let b be r(-2). Let k(u) = -u**3 - 18*u**2 - 31*u - 53. What are the prime factors of k(b)? 5, 37 Suppose -36 - 6 = -7*n. Suppose 3*w - n = -3*q, w = 5*q - 2*q - 18. What are the prime factors of (-376)/(-12)*w*(-3 - -2)? 2, 47 Let x(l) be the first derivative of 351*l**4/4 + l**3 - l**2/2 - l + 28. List the prime factors of x(1). 2, 11 Let n(d) = 4143*d - 7454. What are the prime factors of n(9)? 29833 Let k(b) = 310*b**2 + 41*b + 170. What are the prime factors of k(-4)? 2, 13, 191 Let r be 0/(-6 - (-16)/2). Suppose -i + 664 + 367 = -4*l, r = 4*i + 3*l - 4067. List the prime factors of i. 1019 Let v be -6*(-4)/(-4)*10. Let f = -150 - -8. Let s = v - f. List the prime factors of s. 2, 41 List the prime factors of (444/18 - 16)/((-2)/(-1065)). 5, 13, 71 Suppose 247064 - 901257 = -47*i. List the prime factors of i. 31, 449 Suppose -5*j + 20 = 0, p + j - 21958 = 30993. Suppose -29*t = -2*t - p. What are the prime factors of t? 37, 53 Let j = 3 + -3. Let k = -1393 + 1398. Suppose j = -2*o - 1 + k. What are the prime factors of o? 2 Suppose -4*q = i - 921 - 4872, 0 = -3*q - 3*i + 4347. Suppose -4 = 4*m, 3*m - q = -5*o + 4*o. Suppose -14*f = -o - 999. List the prime factors of f. 5, 7 Let x be (-12)/30 + (14970/25)/2. Let n = x - -191. List the prime factors of n. 2, 5, 7 Let v(g) be the first derivative of -g**3/3 - 5*g**2/2 + 6*g - 4. Let m be v(-6). Suppose 0 = 3*q - m*q - 177. What are the prime factors of q? 59 Suppose 30*g - 513091 - 872244 = -75715. What are the prime factors of g? 2, 13, 23, 73 Suppose 13*z + 12407 = 72015 + 62709. List the prime factors of z. 97 Let p = -729 - -8004. What are the prime factors of p? 3, 5, 97 What are the prime factors of (13314 + -1)/((-836)/(-4180))? 5, 13313 Suppose -4*x = 5*p - 25119, -6 + 4 = -2*x. List the prime factors of p. 5023 Let q = 5496 - 769. List the prime factors of q. 29, 163 Suppose -821 = -s - 5*p, 5*s - 4*p = -0*s + 3960. List the prime factors of (s/(-6))/(3/(-9)). 2, 199 Let t be (33789/15)/7 - (-1)/5. Let k = t + -216. Let s = k - 30. List the prime factors of s. 2, 19 Let c(z) = 277*z**2 + 54*z + 18. List the prime factors of c(7). 61, 229 Suppose -3*a + 64380 = l, -4*a = -5*l + 6*l - 85837. What are the prime factors of a? 43, 499 Let o(c) = 3*c**3 + 3*c**2 - 148*c - 5. List the prime factors of o(15). 5, 7 Let p(g) = g**2 - 26*g + 63. Let y be p(25). What are the prime factors of (-38)/y - 624/(-1)? 7, 89 Let y(q) = -q**3 - 2*q**2 + 3*q + 3. Let s be y(3). Suppose 3*f - 358 - 15 = -5*m, -143 = -f + 3*m. Let h = f + s. What are the prime factors of h? 2, 7 Let n = 1793 - 1159. Let v = n + -486. What are the prime factors of v? 2, 37 Suppose 39 = -0*w - 4*w - 3*y, -5*w - 25 = -y. Let b be 8/w*(-5 + 4998/(-12)). Suppose -6*k + 386 + b = 0. What are the prime factors of k? 2, 79 Let j(x) be the first derivative of -7*x**2/2 + 24*x + 23. Let y be j(2). Suppose -y*n + 1617 - 497 = 0. What are the prime factors of n? 2, 7 Suppose 92 = -4*k + 96. What are the prime factors of (k - -55)*(-1 - -5)? 2, 7 Suppose -2*f - 337020 = -36*f + 190048. What are the prime factors of f? 2, 23, 337 Let n = 28448 + -22457. What are the prime factors of n? 3, 1997 Let k(t) = 840*t + 647. What are the prime factors of k(4)? 4007 Let k = 270 + -272. List the prime factors of (90/(-135))/(0 - k/(-1449)). 3, 7, 23 Let o(v) = -v**3 + 70*v**2 - 69*v + 749. List the prime factors of o(69). 7, 107 Let i = -4843 + 13736. List the prime factors of i. 8893 What are the prime factors of (-4)/14 + (-4857116)/(-826)? 2, 3, 5, 7 Let u(t) = 13*t + 3949. What are the prime factors of u(-9)? 2, 479 Let m(b) = b**3 - 77*b**2 + 359*b - 159. What are the prime factors of m(75)? 2, 3, 431 Let i(x) = 10*x**2 + 9*x - 45. Let a(z) = 13*z**2 + 10*z - 46. Let m(f) = 6*a(f) - 7*i(f). What are the prime factors of m(-12)? 3, 409 Suppose 0 = -3*z + 4*f + 3455, 2*z + f = 2647 - 329. List the prime factors of z. 13, 89 What are the prime factors of ((-40)/200)/(1/(-34670))? 2, 3467 Let b(n) = 4240*n**2 + 6*n + 1. What are the prime factors of b(1)? 31, 137 Let w = 34 + 1430. Suppose -z - 2*i = -314, 5*z - 88 = -i + w. Let o = 487 - z. What are the prime factors of o? 3, 59 Suppose -37*w - 102207 = 23*w - 91*w. What are the prime factors of w? 3, 7, 157 Suppose -20 = 4*t, -2*t + 5*t + 22035 = 3*x. List the prime factors of x. 2, 5, 367 Suppose 7*w - 64 = 20. Suppose 11*m + 3 = w*m. Suppose m*n = 2*n + 32. List the prime factors of n. 2 What are the prime factors of ((-15)/30 - (-5 - -2))*2 + 21624? 43, 503 Let s(z) = -z**3 + 30*z**2 - 74*z + 50. Let m(o) = o**3 - o + 1. Let a(n) = -2*m(n) - s(n). What are the prime factors of a(-33)? 7, 101 Let n be 8 + (-310)/40 + 42/(-8). Suppose 0 = -0*x - 3*x - 30. List the prime factors of (-2 + n/x)*-10. 3, 5 Let n(c) = 2*c - 2*c**3 - 42 - 3*c - 4*c - 19*c**2 + 3*c**2 - c. What are the prime factors of n(-12)? 2, 3, 197 Let j(k) = 167*k + 12. Let y be j(4). List the prime factors of y/14 + (-30)/(-70). 7 Let l be (0 - -1)/(7/63). Let w = 8 - -6. Suppose -w*h = -l*h - 310. What are the prime factors of h? 2, 31 Let u(w) = -77*w + 8. Let o(g) = -384*g + 39. Suppose -5*j = 3*y - 82, 2*y + 3*j - 78 = -y. Let r(i) = y*u(i) - 5*o(i). What are the prime factors of r(1)? 3, 23 Suppose -88*b - 138*b = -1889586. List the prime factors of b. 3, 929 Let z(x) be the first derivative of -x**5/20 - x**4/12 + 58*x**2 + 17*x + 2. Let b(k) be the first derivative of z(k). What are the prime factors of b(0)? 2, 29 Let w be (2/4)/((-6)/144). Let g(n) = -n + 1. Let q be g(w). Suppose q*s - 4478 = -1228. What are the prime factors of s? 2, 5 Let d be 50/(-375) + 21647/15. Let n = d - 982. What are the prime factors of n? 461 Suppose 148*y - 23*y - 2886500 = 0. List the prime factors of y. 2, 23, 251 Let r(v) = -v**3 + 7*v**2 + 9*v - 2. Suppose -5*a = -0*y - y - 11, 2*a = y + 2. List the prime factors of r(y). 2, 41 What are the prime factors of ((-156)/273)/((-1)/(-21))*-8144? 2, 3, 509 Suppose 8*i + 5*o = 11*i - 18777, 0 = -3*i - o + 18759. What are the prime factors of i? 2, 53, 59 Let o(p) = 32591*p**2 - 29*p + 13. What are the prime factors of o(1)? 5, 1303 Let s(i) = 5390*i - 854. List the prime factors of s(1). 2, 3, 7 Suppose -18*c + 2061 = -9*c. Suppose -i + c = 2*i + 5*f, -2*i = 4*f - 154. What are the prime factors of i? 73 Let g = -10279 - -18587. List the prime factors of g. 2, 31, 67 Suppose -l - 28*x = -24*x - 1488, 3*l + x - 4409 = 0. List the prime factors of 21/28*l - -8. 1109 Let r(n) = 54*n**2 - 5*n**2 + 9 - 17 - 11 + 11*n + 17*n**2. List the prime factors of r(2). 3, 89 Let z = 36 + -60. Let u be (2 + (-957)/(-12))*z/(-9). Suppose 0 = 4*s - 4*t - 188, -5*s - 10 + u = 4*t. List the prime factors of s. 2, 11 Suppose -4*p = -10*j + 315388, 0 = -7*j + 10*j - 2*p - 94618. What are the prime factors of j? 2, 13, 1213 Suppose -5*
{ "pile_set_name": "DM Mathematics" }
ime factors of 905? 5, 181 List the prime factors of 115750. 2, 5, 463 List the prime factors of 29654. 2, 14827 List the prime factors of 561. 3, 11, 17 List the prime factors of 1838. 2, 919 What are the prime factors of 61808? 2, 3863 List the prime factors of 2799. 3, 311 List the prime factors of 2684. 2, 11, 61 What are the prime factors of 911? 911 What are the prime factors of 157910? 2, 5, 15791 What are the prime factors of 7820? 2, 5, 17, 23 List the prime factors of 1553. 1553 List the prime factors of 2140. 2, 5, 107 List the prime factors of 646. 2, 17, 19 What are the prime factors of 22071? 3, 7, 1051 What are the prime factors of 4571? 7, 653 What are the prime factors of 3899? 7, 557 List the prime factors of 3402. 2, 3, 7 List the prime factors of 1015. 5, 7, 29 What are the prime factors of 1791? 3, 199 List the prime factors of 19568. 2, 1223 What are the prime factors of 23610? 2, 3, 5, 787 What are the prime factors of 3115? 5, 7, 89 List the prime factors of 85. 5, 17 List the prime factors of 1097. 1097 List the prime factors of 1112. 2, 139 What are the prime factors of 24452? 2, 6113 What are the prime factors of 3756? 2, 3, 313 What are the prime factors of 2064? 2, 3, 43 What are the prime factors of 906? 2, 3, 151 What are the prime factors of 677? 677 What are the prime factors of 6066? 2, 3, 337 List the prime factors of 1511. 1511 What are the prime factors of 3985? 5, 797 What are the prime factors of 6184? 2, 773 What are the prime factors of 14952? 2, 3, 7, 89 List the prime factors of 14006. 2, 47, 149 What are the prime factors of 428? 2, 107 What are the prime factors of 3020? 2, 5, 151 List the prime factors of 1640. 2, 5, 41 What are the prime factors of 4459? 7, 13 List the prime factors of 2. 2 What are the prime factors of 82? 2, 41 What are the prime factors of 4311? 3, 479 What are the prime factors of 2551? 2551 List the prime factors of 81378. 2, 3, 11, 137 What are the prime factors of 3050? 2, 5, 61 What are the prime factors of 43022? 2, 7, 439 What are the prime factors of 1100? 2, 5, 11 List the prime factors of 1811. 1811 List the prime factors of 17213. 7, 2459 What are the prime factors of 137598? 2, 3, 17, 19, 71 What are the prime factors of 44322? 2, 3, 83, 89 What are the prime factors of 157? 157 List the prime factors of 100405. 5, 43, 467 List the prime factors of 7072. 2, 13, 17 What are the prime factors of 3501? 3, 389 List the prime factors of 121987. 199, 613 List the prime factors of 25425. 3, 5, 113 List the prime factors of 29977. 31, 967 What are the prime factors of 5143? 37, 139 List the prime factors of 841. 29 What are the prime factors of 14731? 14731 What are the prime factors of 848? 2, 53 List the prime factors of 603. 3, 67 List the prime factors of 53192. 2, 61, 109 What are the prime factors of 35786? 2, 29, 617 List the prime factors of 17683. 17683 List the prime factors of 1212. 2, 3, 101 List the prime factors of 9137. 9137 What are the prime factors of 1225? 5, 7 List the prime factors of 1156. 2, 17 List the prime factors of 82695. 3, 5, 37, 149 What are the prime factors of 1625? 5, 13 List the prime factors of 396. 2, 3, 11 List the prime factors of 5584. 2, 349 What are the prime factors of 4330? 2, 5, 433 What are the prime factors of 32892? 2, 3, 2741 List the prime factors of 31127. 17, 1831 What are the prime factors of 36729? 3, 7, 11, 53 What are the prime factors of 2088? 2, 3, 29 What are the prime factors of 3902? 2, 1951 What are the prime factors of 1619? 1619 List the prime factors of 954. 2, 3, 53 What are the prime factors of 2162? 2, 23, 47 What are the prime factors of 3332? 2, 7, 17 What are the prime factors of 15522? 2, 3, 13, 199 List the prime factors of 714. 2, 3, 7, 17 What are the prime factors of 3289? 11, 13, 23 What are the prime factors of 21313? 21313 What are the prime factors of 43649? 43649 List the prime factors of 444. 2, 3, 37 What are the prime factors of 1255? 5, 251 List the prime factors of 193. 193 List the prime factors of 347. 347 List the prime factors of 106104. 2, 3, 4421 What are the prime factors of 127377? 3, 14153 What are the prime factors of 3557? 3557 List the prime factors of 156716. 2, 7, 29, 193 List the prime factors of 192. 2, 3 List the prime factors of 14417. 13, 1109 What are the prime factors of 6191? 41, 151 List the prime factors of 966. 2, 3, 7, 23 What are the prime factors of 501? 3, 167 What are the prime factors of 11627? 7, 11, 151 List the prime factors of 1082. 2, 541 List the prime factors of 30746. 2, 15373 What are the prime factors of 86? 2, 43 List the prime factors of 17764. 2, 4441 List the prime factors of 6928. 2, 433 What are the prime factors of 1187? 1187 List the prime factors of 78. 2, 3, 13 What are the prime factors of 69908? 2, 17477 What are the prime factors of 13029? 3, 43, 101 List the prime factors of 1845. 3, 5, 41 What are the prime factors of 28285? 5, 5657 What are the prime factors of 25221? 3, 7, 1201 List the prime factors of 2694. 2, 3, 449 What are the prime factors of 1079? 13, 83 List the prime factors of 6852. 2, 3, 571 What are the prime factors of 56816? 2, 53, 67 What are the prime factors of 1227? 3, 409 What are the prime factors of 11897? 11897 List the prime factors of 444. 2, 3, 37 What are the prime factors of 122? 2, 61 What are the prime factors of 2358? 2, 3, 131 What are the prime factors of 11423? 11423 What are the prime factors of 18869? 18869 List the prime factors of 28836. 2, 3, 89 List the prime factors of 73699. 73699 What are the prime factors of 18019? 37, 487 What are the prime factors of 1244? 2, 311 List the prime factors of 31811. 13, 2447 What are the prime factors of 1904? 2, 7, 17 What are the prime factors of 2433? 3, 811 List the prime factors of 848. 2, 53 What are the prime factors of 1084? 2, 271 List the prime factors of 17. 17 What are the prime factors of 34521? 3, 37, 311 What are the prime factors of 1773? 3, 197 List the prime factors of 45823. 45823 What are the prime factors of 819? 3, 7, 13 What are the prime factors of 10427? 10427 What are the prime factors of 162356? 2, 37, 1097 What are the prime factors of 1413? 3, 157 List the prime factors of 3279. 3, 1093 List the prime factors of 1310. 2, 5, 131 What are the prime factors of 6174? 2, 3, 7 List the prime factors of 88. 2, 11 List the prime factors of 88758. 2, 3, 4931 List the prime factors of 1702. 2, 23, 37 What are the prime factors of 233? 233 What are the prime factors of 6124? 2, 1531 List the prime factors of 53530. 2, 5, 53, 101 What are the prime factors of 40694? 2, 20347 What are the prime factors of 64475? 5, 2579 List the prime factors of 599. 599 List the prime factors of 69. 3, 23 What are the prime factors of 1907? 1907 List the prime factors of 34081. 173, 197 What are the prime factors of 11781? 3, 7, 11, 17 List the prime factors of 175667. 97, 1811 What are the prime factors of 41154? 2, 3, 19 What are the prime factors of 3545? 5, 709 What are the prime factors of 72? 2, 3 What are the prime factors of 43186? 2, 11, 13, 151 List the prime factors of 5841. 3, 11, 59 List the prime factors of 4945. 5, 23, 43 What are the prime factors of 198? 2, 3, 11 What are the prime factors of 12060? 2, 3, 5, 67 List the prime factors of 57. 3, 19 List the prime factors of 7308. 2, 3, 7, 29 What are the prime factors of 29996? 2, 7499 What are the prime factors of 1188? 2, 3, 11 What are the prime factors of 8939? 7, 1277 What are the prime factors of 760? 2, 5, 19 What are the prime factors of 70681? 13, 5437 What are the prime factors of 562? 2, 281 What are the prime factors of 14687? 19, 773 What are the prime factors of 35272? 2, 4409 List the prime factors of 330. 2, 3, 5, 11 List the prime factors of 49911. 3, 127, 131 What are the prime factors of 36612? 2, 3, 113 What are the prime factors of 576? 2, 3 What are the prime factors of 1823? 1823 What are the prime factors of 132? 2, 3, 11 List the prime factors of 10044. 2, 3, 31 What are the prime factors of 602? 2, 7, 43 What are the prime factors of 1153? 1153 List the prime factors of 2622. 2, 3, 19, 23 What are the prime factors of 1054? 2, 17, 31 What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
e 0 = d - 5*x + 15, h*x - 20 = 2*d - x for d. -5 Suppose -w + 25 = -5*m, -3*w - 7 + 2 = m. Let z be 4 + 1*w*4/(-12). Suppose 0*v + 3*d + 27 = 5*v, -4 = d. Solve -4*g - z + 16 = 0, -v*g + 6 = 3*o for o. -1 Let h be ((-23)/7 - -3)/(4/(-28)). Suppose -h*n = -5*n + 33. Suppose 3*k - n = 4. Solve -2*d - k*r = -27, -d + 4*d - 2*r + 7 = 0 for d. 1 Let h(s) = 87*s - 2171. Let m be h(25). Solve 29 - 21 = l - 2*g, -m*l = -g + 3 for l. -2 Let r = -498 + 502. Suppose 2*q - 16 = -3*n, -r*q + q + n + 24 = 0. Solve k = 2*z - q, 0 = -2*z - 5*k - 5 - 11 for z. 2 Let n = 6683 + -6678. Solve -2*c - 4*k = -24, -7*k = 2*c - n*k - 16 for c. 4 Suppose 0 = 4*t + 4*i - 92 + 48, -6*t = i - 76. Solve -2*b - t = -a, 5*b + 25 = -5*a + 30 for b. -4 Suppose 0 = -8*v + 57 + 47. Suppose v*p - 110 = 2*p. Solve -5*l = w - 20, -3*l + 6*l + p = -5*w for l. 5 Let p be 72/20 - ((-36)/(-300))/(1/5). Solve 25*v = 24*v + 5*t + 25, 0 = p*v + 5*t + 25 for v. 0 Let d = 463 - 460. Let k(i) = 3*i**2 - 7*i - 1. Let m be k(d). Solve 25 = m*w, 0*p + w - 21 = 4*p for p. -4 Suppose -3*p = q, 3*p + 5*q - 416 + 428 = 0. Solve 5*d + 5*k = 45, p + 10 = -d + 3*k for d. 4 Let a = -2341 + 2346. Solve -4*v = a*h + 8, 5*h + 40 = -5*v + 35 for h. -4 Suppose 4*w = -4*w + w. Suppose w = 2*t + 19 - 41. Suppose -5*i = -3*n - 6, -3*i + 5*i = -3*n + 15. Solve 5*b - r = t, -i*b + 9 = r + 4 for b. 2 Suppose -5*h + 98 = -4*y, -17*h + 2*y + 38 = -15*h. Solve 0 = 4*j + 3*o - 1, -h = 15*j - 18*j + 2*o for j. 4 Let j be (48/40)/((-6)/20) + 4. Solve 2*x - 4*x = 4*q - 6, j = -5*q - x + 9 for q. 2 Let f be (6/(-18))/(2/(-24)). Suppose f*n = -3*n - 175. Let s be (-72)/(-48) + n/(-2) + -2. Solve -l - 15 = -5*l + j, s = 2*l - 2*j for l. 3 Suppose 2*f - t = 32, 5*f + 162*t = 163*t + 80. Solve 5*q - 13 + 17 = 4*a, -5*a - f = -q for a. -4 Suppose 51 = -11*d + 84. Let l = 174 + -171. Solve -c - 5*v = -6, -l*c - 4 = v + d*v for c. -4 Suppose -3*d + 4*v = -5, 3*d + 9 = 7*d - 3*v. Let n be (-108)/(-20) + (-16)/40. Suppose n + 1 = 2*k. Solve 0 = 5*t + k*i + d - 5, -4*t = -2*i + 16 for t. -2 Suppose -4*z = -5*n + 239 - 20, -3*n + 132 = -3*z. Suppose -23*b + n + 3 = 0. Solve -b*g - 4*h = -4*g - 14, -5*h + 40 = 5*g for g. 3 Suppose 2*y - 102 + 4 = 0. Let h be 1/(-2) + 231/6. Let m = y - h. Solve 22 = 2*w + 3*f, 2*f - m = -w + 2 for w. 5 Let q be 2*4/6 + 52/(-39). Suppose q = 10*c - 11*c + 4. Solve 4*y = -l - 1 - 15, -c*y = 5*l for y. -5 Suppose 0 = -68*w + 67*w - 2*v - 41, -2*w + 3*v - 54 = 0. Suppose -28 + 176 = 4*h. Let s = h + w. Solve -d - 13 = -s*m, 6*m = -3*d + 3*m - 9 for d. -5 Let d(o) = o**3 - 16*o**2 - 33*o - 31. Let l be d(18). Solve 0 = -4*p + 5*x + l, -13*x - 13 = p - 8*x for p. 2 Suppose 5*z = -4*u - u - 15, 15 = -5*z + 5*u. Let k(x) = -2*x**3 - 6*x**2 - 2*x - 3. Let l be k(z). Solve -45 = 5*y - l*q - q, -q = y for y. -5 Let o = 119 + -122. Let c be o/(-8) - 222/(-48) - 3. Solve c = 2*r - 3*j, -3*r - 3*j = -0*r - 18 for r. 4 Suppose 120 + 192 = -26*g. Let y be g/(-28) + 24/(-56). Solve 2*q - 3*u - 10 = y, -4*q - 12 = u + u for q. -1 Suppose -43*s - 1422 = -2540. Solve -22*x = -18*x + 2*n - s, 0 = -5*x - 5*n + 45 for x. 4 Suppose -h + 0*h = -3. Suppose 13 = -h*z + 28. Suppose 2*k - z*w = 20, -14 = -2*k + 3*w + 2. Solve 0 = -5*n + 3*a + 2, 2 + 4 = k*n - 4*a for n. -2 Let m = -773 + 767. Let c be m/1 + 12 + -4 + 0. Solve 0 = l + 4*a + 12, c*l - 4*a = a + 28 for l. 4 Let d be 1*8 - 369/41. Let q be d/(((-1)/1)/3). Solve -5*m = -i - 24, -4*m + i - q*i = -8 for m. 4 Let x = 81 + -86. Let k be 6/(x*(-3)/10). Let l be k + (-4)/(20/15). Solve 0*i + 14 = d - 3*i, 0 = 4*d - i - l for d. -1 Let w(o) = o**3 - 4*o**2 - 6*o + 8. Let c be 2 + 2 - (-3 + 0 - -3). Suppose c*p - 22 = -2. Let b be w(p). Solve -3*d - 16 = 2*v, b = d - 0*v - v for d. -2 Let l be (24/(-16))/((-9)/60). Suppose 17*w + 5 = 18*w. Solve -w*z = 5*p - l, -6 = 2*z - 7*p + 4*p for z. 0 Let t(j) = 3*j**2 - 31*j - 51. Let r be t(12). Suppose -r*l + 136 - 100 = 0. Solve 0*p - 2 = -3*s - 2*p, -3*p = l*s - 2 for s. 2 Let w = -3732 - -3746. Solve -8*l + 9*l = -4*h + 11, -5*l + 3*h = w for l. -1 Suppose -17 = -4*n - 3*j, 0*n + 2*n + 4*j - 16 = 0. Suppose 0*f = h + n*f, 0 = -4*h + 2*f + 10. Solve -5*p + h*i - 3*i = 11, -i + 19 = -5*p for p. -3 Let v(p) = 2*p + 8 - 13 + 5*p - 12 + 2*p**2. Let f be v(2). Solve j = 2*k + 2, j = f*k + 4*j + 16 for k. -2 Let g = -31298 - -31305. Solve 5*k + 2 = -c, 3*k = c - k - g for c. 3 Let q be 3/1 - (-62 - -59)/(-1 - -2). Solve -31 - q = -5*w - 4*y, -5*y - 5 = -4*w for w. 5 Let b = -11938 + 11943. Solve -b*i + 4*r = -40, 2*i + 2*r = 4*i - 18 for i. 4 Suppose 18 = s + 2*s. Let t = 945 + -845. Let u be (-36)/(-16)*(t/15)/5. Solve 3*m + 3*y + u = -3, y + s = -5*m for m. -1 Let u = -2 + 4. Let k be (-91)/39 + 260/15. Solve -5*s + u*s - 9 = -z, 3*z - 3*s = k for z. 3 Suppose 61 = -5*b + 61. Suppose 3*c + 8 = 4*f - 9, -1 = -5*f - 3*c. Solve b = -5*y + 3*x + 23, -3*y - 3*x = -7 - f for y. 4 Let j(z) = z**3 - 15*z**2 - 15*z + 3. Let v be j(16). Let u(r) = r - 17. Let y be u(v). Solve -16 = 4*c, -y*w - 13 = -7*w + 2*c for w. 1 Let r(t) = -t**3 - 113*t**2 + 462*t - 252. Let x be r(-117). Solve 2 = 2*f - 4*i, 2*f = -i - 468 + x for f. -7 Suppose 11*b - 121 = -0*b. Let k be (0/(-1))/(1/(3 - 4)). Suppose k = -t + 2*d + 7, -3*t - d = -2*t - 7. Solve -t = f + 2*f + a, 3*f - a + b = 0 for f. -3 Let u = -4078 + 4088. Solve 3*x + 50 = 59, 2*z - 4*x + u = 0 for z. 1 Let r be 4/(44/(-11) + 454/114). Let u = 232 + r. Solve -2*f + g + 5 = -2, -5*f - u*g = 2 for f. 2 Let y = -61 + 73. Let s = 152 - 149. Suppose -27 = s*l - y*l. Solve m - 7 = l*j, -m - 3*m = -j + 16 for m. -5 Suppose 83 = 3*v + v + s, 0 = -4*v + s + 93. Suppose 21*d + 24 = -60. Let k be 134/268 - ((-18)/d)/(-1). Solve v = -0*u - k*u + a, 5*u = -5*a - 10 for u. -4 Let h(k) = -7*k - 1095. Let l be h(-157). Solve l*u - 4*g + 3 = -13, -3*g = -u - 8 for u. -2 Suppose 267*c - 1120 + 52 = 0. Solve 1 = -5*h - 180*s + 176*s, c*h + s + 3 = 0 for h. -1 Suppose 0 = -4*q + 8, 4*s - 2*q - 21 = 15. Let c be 6 + s + 7 + -3. Solve 5*f = 5*g - 0*g + c, -4*g + 14 = 2*f for g. 1 Let q = 3 + 0. Suppose -3*a = -20*a. Suppose 9*j + j = a. Solve j = -p + 6*p + q*z, -5*z = 3*p - 16 for p. -3 Suppose -244 = -104*t + 1004. Solve 63*h - 5*v + t = 65*h, -18 = -3*h + 5*v for h. 6 Let i = 1241 - 1231. Let z be 4*(-12)/(-8) - 3. Solve -4 - 16 = 2*h - 2*b, z*h + i = -b for h. -5 Let v(t) be the third derivative of t**6/120 - t**5/10 + t**4/4 - t**3/2 + 17*t**2 - 2. Let f be v(5). Solve -w - 9 = m, -m - 14 = 4*w - f*w for m. -4 Suppose 0 = 14*h + 1464 - 1534. Let u = -8 + 19. Suppose n - 2*n + 3*j + u = 0, -5*j = h*n + 5. Solve n*l = l + 3*f + 1, -f - 3 = l for l. -2 Let r = 35 + -32. Let f be 4/(3/(-3) - -3). Suppose 1380*i + 6 = 1383*i. Solve r*v - 12 = -2*l - f*v, 8 = i*l + 4*v for l. -4 Let x = 3006 - 3006. Solve 5*h + 3*n = x, h + 3*n - 9 = -h for h. -3 Let z(x) = -3*x**3 - 26*x**2 - 15*x + 14. Let n be z(-8). Let p be -6*(9/n)/(-3)*1. Solve 2*c - 20 = -4*f - c, -p*c = -5*f - 2 for f. 2 Let z(c) = c**3 + c**2 - 97*c + 66. Let q be z(9). Solve 4*j + 5*y + 28 = q, -5 = -j + y for j. 0 Let i = -99 + 105. Suppose -2*n - 5*z = n, 0 = -5*n + z + 28. Suppose 0 = 3*f - 6*f. Solve i = -b + n*k, -2*k + 12 = 2*b - f*b for b. 4 Let l(x) = -2*x**2 + 7*x + 4. Let t be l(13). Let r = t + 249. Solve 0 = -2*u - 6, r*q - 2*u = 4*q + 16 for q. 5 Suppose -4*y = 14*u - 17*u - 729, 0 = y - 3*u - 198. Solve 2*t + j + 12 = 0, 0 = y*t - 172*t + 2*j + 29 for t. -5 Let r be (38*2/12)/((-1)/(-9)). Let x = 117 - r. Let z = x - 58. Solve 5 = 3*s - 0*m + 4*m, z*s + 8 = 3*m for s. -1 Let n = -211 + 219. Suppose -q = n - 12. Solve -m + 4 - 7 = -2*w, q*m = 3*w - 7 for w. 1 Suppose 0 = 23*k - 20*k - 9. Suppose -4*j + 0*n + 17 = -n, 0 = -3*n - k. Solve 2*s = -j*r - 2*s, 5*r = 2*s - 7 for r. -1 Let h be 1*((-640)/(-4))/(-4). Let t = 60 + h. Suppose 0 = 15*m - 11*m - t. Solve m*q = 2*w - 23, -1 = 2*w + 4*q + 3 for w. 4 Let p(q) = 44*q - 44. Let f be p(1). Suppose -2*r = 2*o - f*r + 4, 5*o + r = -2. Solve 4*a + k + 19 = o, -2*a - 11 = k - 0 for a. -4 Suppose -16*t + 9 = -19*t, -2*y = 2*t - 4. Solve -3*x - 5 = 2*m, 14*x - 15*x - y*m = -7 for x. -3 Let a = 6 + -2. Suppose -h = -0*h - 2*l + 8, a*l = -2*h. Let u = h - -9. Solve -u*q + 4*x = -12, 5*q + 0*q + x - 22 =
{ "pile_set_name": "DM Mathematics" }
((-1258)/4284)/(1/(-3)) + (-6)/9. 3/14 (1 - -7)*(700/(-50) - -17) 24 Evaluate -32 + (-96577)/(-3036) - 3/24*-2. 2/33 What is -5*1 + 11567/2365 + 2/(-22)? -1/5 What is the value of ((-180)/54)/(35/(-42) + 1)? -20 What is ((-253)/2277)/(1/117)? -13 13*-1 - (-54230)/4114 2/11 What is (-120560)/(-52800) - 2/60? 9/4 Calculate (3/(-33) + 234/396)/(8/1). 1/16 Evaluate (-10)/20 - ((-6)/(-10))/(8/(-100)). 7 Evaluate (-21 - 5) + 18 + -2. -10 Calculate (-14)/336*-6 + (-9)/(-24)*-46. -17 What is the value of 1/(-6) - 117/26*(-1)/3? 4/3 (-32)/(-128)*8/(-6) -1/3 Calculate ((-4)/34 - 152/(-714))/((-1)/(-6)). 4/7 Evaluate (288/(-624))/(5 - 8). 2/13 Evaluate ((-2 - 0) + 5)*(11836/(-462) + 26). 8/7 Calculate 6 + (-3)/2 + 272/32. 13 What is 123/(-164)*(-112)/6? 14 Evaluate (-8464)/208 - -10 - 4/13. -31 Calculate 1 + (-3)/48*20. -1/4 Evaluate (-8)/42 - ((-93)/(-217))/(6/2). -1/3 What is the value of 17544/(-1419) - 16/(-44)? -12 765 - 700 - 1*41 24 9/(-945)*10 - 1520/(-84) 18 What is the value of (-15)/(120/32) - 36/(-10)? -2/5 Evaluate (-102)/(-17) - -5 - (-14)/(-1). -3 Calculate (-2)/(-12) + 16/(5808/(-77)). -1/22 Calculate (-10)/(-48 - -58)*(23 + 0). -23 Calculate (-30)/6 - ((-62)/10 - -1). 1/5 What is the value of 48*(500/(-60))/(-25)? 16 What is the value of 10 - ((-567)/(-28) - 2) - -9? 3/4 Evaluate ((-4)/136)/(13/(-52)). 2/17 Evaluate 5/(-2)*(-2*(-357)/(-70) + 9). 3 Calculate 15/3 - (312/120 + 2). 2/5 ((-124)/12 + 2)*792/330 -20 Evaluate ((-34)/51)/(4/(-36)). 6 What is ((-24)/(-9))/((0 + -1)/(-6))? 16 1141/(-14181)*(-18)/(-21) -2/29 What is 114/(-21)*246/(-2337)? 4/7 Evaluate (0 + 0)/(11/((-121)/(-22))). 0 Calculate -33 + (-826)/(-70) + 22. 4/5 What is the value of (-36)/(-3) - 2430/210? 3/7 What is ((-12)/5)/(6/20) - (-307 + 280)? 19 92 - (-1290)/(-14) - 39/(-28) 5/4 What is the value of 2/((-2)/(92/207))? -4/9 What is the value of (516/(-1505))/(2/5)? -6/7 (10/85)/(12/51) 1/2 What is the value of 5 + 3 - 12/450*310? -4/15 Calculate (16 + -3)/(0 + 4/4). 13 What is 14/20 - ((-39)/(-507) + 11/26)? 1/5 What is the value of 164692/18392 + (-7)/1 + -2? -1/22 Evaluate ((-2)/(-1))/(46 + -44) - -5. 6 Evaluate 140/336 + 355/(-1140). 2/19 Calculate (15/(-7))/((63/54)/(154/(-198))). 10/7 What is (-25 - -3) + 70738/3130? 3/5 Evaluate (8/(-88))/((-45)/(-495)). -1 What is -6*(22 - 20)*(39/162)/13? -2/9 8/7 + (-51980)/48300 1/15 24/20*((-224)/(-21) + -4) 8 What is (-4 - 0)*(-24)/2448*-6? -4/17 Calculate (240/1200)/(2/190). 19 Evaluate 6 + -3 + 9 + -13 + 2. 1 What is (9/153)/(4/8)? 2/17 1/(13 - (-515)/(-40)) 8 Evaluate -6*(-52)/189 + -2*(-3)/(-27). 10/7 Evaluate 0/3 + (-136)/(-17). 8 Calculate -12*7/14 + 324/33 + -4. -2/11 What is (368/(-138))/(168/(-9))? 1/7 What is (9605/(-339) - (-6)/(-9))*-1? 29 What is (-60)/375 - (-108)/50? 2 What is the value of (-15)/21 + 4444/(-707)? -7 Evaluate ((2592/(-135))/24)/(6/20). -8/3 ((-48)/20)/(47 - 45) -6/5 What is the value of (-8)/(-1180)*15/18*(-678)/(-113)? 2/59 Evaluate ((-13 - -13)/(1 - 6))/(-4). 0 (-13)/2*550/(-275) 13 What is the value of 90/99 - 4026/(-363)? 12 What is (-4121)/377 + 20/(-290)? -11 Evaluate (-8)/(-12)*((-7 - 1) + -4). -8 Evaluate 18/(-207) - (-117)/(-1035). -1/5 What is the value of (-92)/(-36)*(-20 + 29)? 23 (14/(-8) - -1)/((-118)/(-1888)) -12 What is -5 - (-286)/(-52)*(-12)/(-69) - -6? 1/23 (-6)/(-10) + (-480)/50 + 6 -3 Calculate (-5)/((-15)/2)*((-330)/(-20) - 9). 5 What is (-61)/(-3) - (-35)/(-15)? 18 Evaluate ((-1926)/4173)/(4/13). -3/2 What is 1 + -6 + -19 + 5 + 3 + -2? -18 What is (-26 + (-81)/(-3))*-7? -7 Calculate ((-23562)/(-2805))/(4/10). 21 (7/2)/(1274/(-1820)) -5 What is (88/30 + (-9)/(-135))*(40 + -41)? -3 What is 800/240*(-18)/4 - -11? -4 What is the value of (-16850)/60*2/20 - (-7)/84? -28 What is (-3120)/(-3744) + (-2)/3? 1/6 What is the value of (-6 - 306/(-48))/(4/96)? 9 Calculate (3/5)/(26/((-136500)/(-270))). 35/3 (-16 - -20)*(-248)/(-32) 31 What is (-2 + 15/6)/(297/(-18) + 17)? 1 (3 + -8)*(-1672)/2200 19/5 1*(-315)/(-504)*3/((-45)/6) -1/4 ((-6)/(2 - 8) - -2)/(9/(-78)) -26 What is the value of (((-15)/2 - -1)*2)/1? -13 Evaluate (-4 - -13) + 1208/(-136). 2/17 Calculate 2*375/135 - 6/1. -4/9 Calculate -10*(32/(-24))/(11/((-297)/30)). -12 Calculate (7/28)/((-25)/900). -9 -13*(10/(-14) - (-20223)/17199) -6 What is the value of 9/(-378)*(9 - (-175)/(-14))? 1/12 14*(-16 - (-3375)/189) 26 Calculate 1423539/(-46023) - 4/58. -31 (1837/(-165) - -11) + (-133)/15 -9 Calculate 29 - 1422/162*3. 8/3 -9*(-17 + (41 - 23)) -9 What is the value of ((-3190)/5104)/(25/(-12))? 3/10 Calculate 12*((-35)/5355)/((-2)/(-9)). -6/17 Calculate 48/552 + 24080/805. 30 What is the value of ((-112)/(-6)*(-3)/(-2))/(8 + -4)? 7 What is 623/(-35) - 19 - 14/70? -37 What is the value of 126/(-4)*340/765? -14 What is the value of (-1)/(-3)*1 - 518/(-777)? 1 Evaluate (266/(-1748))/((-147)/(-252)). -6/23 (36/42)/((-13006)/686 - -19) 21 Calculate (38/8 - 48/64)*127/(-254). -2 What is the value of (-1)/2*-26 + 4888/(-416)? 5/4 Evaluate ((-1)/(-4))/(46 - (-181740)/(-3952)). 19 What is the value of 100/12 + 20/(-60)? 8 -4*-2*(9/4*-2 - -5) 4 Calculate 1*(-3 + 2) + -293 + 283. -11 Calculate ((-1577)/(-532) - -1) + 21/(-98). 15/4 4 - (-8 - 675/(-60)) 3/4 Evaluate (-9160)/(-480) - -2*7/(-168). 19 14/(667/230 - 6/(-10)) 4 4/6*18468/(-2565) -24/5 What is (-13847)/(-1589) + -1*9? -2/7 7/(-2)*72/(-216) 7/6 What is (-57 - -54)/(2/(-10)*(-1 + -2))? -5 What is (-3 - 1) + 36 + (-27)/1? 5 Evaluate (-37)/(-74) - (-75)/(-50). -1 What is the value of (-2)/95 + 72944/(-36860)? -2 What is 3672/(-680) - (0 + 1)*(-4)/10? -5 Calculate 6740/1348*4/(-6). -10/3 (10 - 4) + 27/(-5) - 2 -7/5 Evaluate 9 + 0 - (82 + -76 + -1). 4 Calculate (56/21)/(4/9). 6 Calculate 9/(-135) - 742/(-105). 7 What is the value of -6*28/63*18/(-4)? 12 What is the value of -7*30/1092*8/(-5)? 4/13 Calculate -4 - (2/(-21) + ((-5797)/(-231) - 16)). -13 Calculate ((-5)/(-10))/((-316)/(-64) - 5). -8 ((-145)/(-290))/(13/2) 1/13 Calculate 8/5*(150/(-80))/(87/(-464)). 16 What is the value of ((-15)/((-1350)/40))/(-1)? -4/9 Calculate ((-2)/114)/((-29)/(-174)). -2/19 Evaluate (17280/(-1400) - (-8)/7)*(-15)/6. 28 Evaluate (384/(-24))/16*(1 - 1). 0 What is the value of ((60/(-45))/(2/4))/(7/(-42))? 16 Evaluate 20/(-14)*(-700)/125. 8 What is the value of (340/(-60))/1 + ((-8)/(-12) - 2)? -7 What is the value of 52/9 - 2 - (-23 + 27)? -2/9 What is the value of ((-6)/27)/(24/(-432))? 4 Calculate 15/1 + 16385/(-1015). -8/7 (44/6 - 119/17)/(18 - 21) -1/9 What is (-3)/(39/79) + (41 - 19 - 16)? -1/13 What is the value of ((-56)/(-110) + (-3)/(-33))/(4/(-100))? -15 What is the value of 8 - 9*24/9? -16 Evaluate ((-4)/(-7) - (0 + (-891)/(-77)))*1. -11 What is 561/(-2992)*(-4 - -1 - 42/(-18))? 1/8 Evaluate (-1 + 238/234)/((-2254)/20286). -2/13 What is the value of -1 + 5 + 3 + (-29)/(174/12)? 5 ((-3)/2)/((-3282)/8752) 4 Calculate 183/(-21) + (3/4 - (-116)/(-112)). -9 What is 8/14 + (-192)/(-448) + 7? 8 Evaluate (34/(-510)*6)/((-3)/((-30)/(-8))). 1/2 Calculate (-16)/(-7 - 873) + 16/88. 1/5 What is 135/(-81)*102/10? -17 3/30*(2/(-4) + 36/(-48)) -1/8 Evaluate ((-110)/(-4))/(-5) + 18/81*27. 1/2 Calculate (-9*88/2970)/(8/(-54)). 9/5 What is the value of 6/(-141) + -45 + 45? -2/47 ((-329)/(-63) + -3)/((-16)/60) -25/3 What is the value of 3*(-11 + 532/42)? 5 What is the value of -45*((-56)/98)/((-24)/28)? -30 Evaluate ((-65)/(-10) - 5)/(-3 - 162/(-48)). 4 (-8)/(-26) - 2500/(-325) 8 What is the value of ((-1)/(-4) - -1)*(-404)/(-5050)? 1/10 What is (147/(-490) - (-1)/5) + 3783/130? 29 1995/(-2261)*51/(-18) 5/2 Calculate 60188/41328 - (-2)/(-72). 10/7 What is the value of ((-125)/(-75))/((-5)/(-6))*-2*2? -8 Calculate (-1)/34*(-23)/((-276)/48). -2/17 What is the value of (-71314)/5122 - (-12)/13? -13 What is (-80)/(-140) - (720/(-42))/(-2)? -8 -4*8*(-14)/112 4 What is (-21)/((-1134)/(-36)) + (-1)/6? -5/6 What is the value of 27 + -34 + (-3 - (-339)/34)? -1/34 What is the value of (8/(-3344))/((-3)/1236) - 2/(-19)? 12/11 (3 - 201/54) + (-92)/(-414) -1/2 What is the value of (40/(-300))/(3/25)*(-2 - -1)? 10/9 Evaluate ((-32)/(-624) - 3069/(-1755))/((-6)/40). -12 (((-885)/48)/(-5))/((-9)/18) - -8 5/8 What is 8/40*-13 - 655/(-50)? 21/2 Calculate -8 - ((-105)/(-350))/((-414)/136 + 3). -6/5 Evaluate 2516/(-17136) - 3
{ "pile_set_name": "DM Mathematics" }
of sequence gzgz when four letters picked without replacement from gggggggzzggggzgg? 3/140 Two letters picked without replacement from {k: 2, y: 2, q: 2}. Give prob of sequence qy. 2/15 Four letters picked without replacement from yyssysyy. What is prob of sequence ssyy? 1/14 Four letters picked without replacement from hhxhhhhxhxhxxhhxhh. What is prob of sequence hxxh? 11/204 Three letters picked without replacement from qzdydyyyzeqd. Give prob of sequence dzq. 1/110 Four letters picked without replacement from cooocooooo. What is prob of sequence cooo? 2/15 Three letters picked without replacement from vobemvbl. Give prob of sequence vml. 1/168 Four letters picked without replacement from {h: 2, y: 5}. Give prob of sequence yhhy. 1/21 Two letters picked without replacement from xtflftf. What is prob of sequence tl? 1/21 Calculate prob of sequence fr when two letters picked without replacement from {f: 1, m: 6, s: 4, r: 2}. 1/78 Calculate prob of sequence ly when two letters picked without replacement from uybluub. 1/42 Three letters picked without replacement from {b: 3, t: 1, g: 2, d: 4, p: 6}. What is prob of sequence bbt? 1/560 Three letters picked without replacement from yppprjpppjpypppyppp. What is prob of sequence jyr? 1/969 Three letters picked without replacement from {q: 2, x: 1, s: 11, u: 2}. Give prob of sequence suq. 11/840 What is prob of sequence vvm when three letters picked without replacement from vqsmpqmmeesmmv? 5/1092 Three letters picked without replacement from vvvvvvvvvvvvvvtvvvvv. Give prob of sequence ttt. 0 Three letters picked without replacement from ydyyd. Give prob of sequence yyd. 1/5 Calculate prob of sequence xfe when three letters picked without replacement from {e: 5, x: 11, f: 1}. 11/816 Three letters picked without replacement from {v: 3, g: 2, c: 1, i: 3, h: 1, w: 1}. Give prob of sequence vgh. 1/165 What is prob of sequence gvv when three letters picked without replacement from pgnppev? 0 Three letters picked without replacement from {m: 6}. What is prob of sequence mmm? 1 Two letters picked without replacement from uuuaauau. Give prob of sequence au. 15/56 Calculate prob of sequence uu when two letters picked without replacement from {y: 2, u: 2, z: 2, r: 6}. 1/66 Four letters picked without replacement from bjmhoao. What is prob of sequence boaj? 1/420 What is prob of sequence gn when two letters picked without replacement from yyygnynynyyyykyykyyk? 3/380 Four letters picked without replacement from {h: 1, q: 1, c: 1, o: 1, r: 1}. Give prob of sequence qcrh. 1/120 Two letters picked without replacement from lallllslslsassias. Give prob of sequence ai. 3/272 What is prob of sequence bu when two letters picked without replacement from {m: 1, b: 1, u: 1, t: 2, z: 1, j: 1}? 1/42 What is prob of sequence xmx when three letters picked without replacement from {m: 1, x: 3, c: 4}? 1/56 Calculate prob of sequence kb when two letters picked without replacement from rrkkbrdbrbvjkbkrrjj. 8/171 Two letters picked without replacement from {j: 3, z: 2, s: 6, a: 3, p: 3}. What is prob of sequence ps? 9/136 What is prob of sequence xxa when three letters picked without replacement from {x: 8, a: 5}? 70/429 Calculate prob of sequence ooz when three letters picked without replacement from {z: 14, o: 4}. 7/204 Calculate prob of sequence fnp when three letters picked without replacement from {o: 8, f: 2, p: 2, n: 1}. 1/429 What is prob of sequence iai when three letters picked without replacement from aihhh? 0 Two letters picked without replacement from {l: 3, n: 5, d: 1, y: 6, a: 2}. Give prob of sequence da. 1/136 What is prob of sequence gggg when four letters picked without replacement from {g: 5}? 1 Three letters picked without replacement from {u: 6, y: 2}. Give prob of sequence yyu. 1/28 Three letters picked without replacement from cqzqccczccccqcc. Give prob of sequence czz. 2/273 Calculate prob of sequence uu when two letters picked without replacement from pzqtuuw. 1/21 Two letters picked without replacement from tzwqqzqqzzz. What is prob of sequence tw? 1/110 Four letters picked without replacement from ypmyexmmxxiiy. Give prob of sequence mipy. 3/2860 Two letters picked without replacement from qqwggywpwqywgqpp. What is prob of sequence wp? 1/20 What is prob of sequence attt when four letters picked without replacement from {t: 7, a: 3}? 1/8 Two letters picked without replacement from {c: 15, p: 4}. What is prob of sequence cc? 35/57 Three letters picked without replacement from {t: 3, s: 1}. Give prob of sequence tts. 1/4 Two letters picked without replacement from fihffifsfa. Give prob of sequence hf. 1/18 Four letters picked without replacement from {k: 2, v: 3, h: 1, u: 3, l: 3, f: 2}. Give prob of sequence uulh. 3/4004 Calculate prob of sequence ooh when three letters picked without replacement from {c: 1, t: 2, h: 4, o: 4, u: 5}. 1/70 Three letters picked without replacement from uumuuucmc. What is prob of sequence uum? 5/63 Four letters picked without replacement from kxoxksdoxbddo. Give prob of sequence sbkb. 0 Four letters picked without replacement from dxxxxxddxxxxxxxxxx. What is prob of sequence xxxx? 91/204 What is prob of sequence msmm when four letters picked without replacement from mmmmmsmmmsms? 7/55 What is prob of sequence ekd when three letters picked without replacement from {v: 6, e: 1, d: 1, k: 2, u: 5}? 1/1365 Four letters picked without replacement from qvhqvvqqhqv. Give prob of sequence hvqv. 1/66 What is prob of sequence wocz when four letters picked without replacement from cmzcomwxccwocz? 5/3003 Four letters picked without replacement from zjojjsoijjjjeoojisej. Give prob of sequence ijsi. 1/3230 Three letters picked without replacement from mtmaa. Give prob of sequence mma. 1/15 Two letters picked without replacement from oaoajjagjajsjaojajga. What is prob of sequence sj? 7/380 Calculate prob of sequence faf when three letters picked without replacement from {t: 2, a: 4, f: 3}. 1/21 Calculate prob of sequence mn when two letters picked without replacement from {p: 1, c: 1, h: 2, m: 2, b: 1, n: 1}. 1/28 What is prob of sequence ccfj when four letters picked without replacement from cfccccccfjccjjjcccfc? 26/1615 Four letters picked without replacement from qsqqqcscs. What is prob of sequence qcsc? 1/126 Two letters picked without replacement from sssxxsxssxs. What is prob of sequence sx? 14/55 Two letters picked without replacement from {o: 1, q: 3, d: 9, j: 1}. What is prob of sequence jd? 9/182 What is prob of sequence eaee when four letters picked without replacement from eaaaeeeeeeeeeeeeae? 91/765 Three letters picked without replacement from hihuiwuzuzwzu. What is prob of sequence iuu? 2/143 Four letters picked without replacement from aayahyuau. Give prob of sequence yaau. 1/63 Calculate prob of sequence kjcx when four letters picked without replacement from jjccxkt. 1/210 Calculate prob of sequence kke when three letters picked without replacement from eekkkeeekkeekekkeekk. 5/38 Four letters picked without replacement from {e: 5, q: 1, p: 3, r: 3}. Give prob of sequence pere. 1/66 What is prob of sequence woo when three letters picked without replacement from owoowwoooo? 7/40 Four letters picked without replacement from jbkkjkyyjy. What is prob of sequence kyby? 1/280 Two letters picked without replacement from {j: 1, k: 2, u: 4}. What is prob of sequence kj? 1/21 Two letters picked without replacement from {d: 2, t: 1, v: 4, z: 3, u: 2}. Give prob of sequence zu. 1/22 Calculate prob of sequence wwwd when four letters picked without replacement from {w: 9, d: 3}. 7/55 Two letters picked without replacement from qteqwts. Give prob of sequence eq. 1/21 Three letters picked without replacement from {a: 1, h: 1, q: 10, v: 1, x: 1}. What is prob of sequence xav? 1/2184 What is prob of sequence llnl when four letters picked without replacement from {n: 11, l: 5}? 11/728 Three letters picked without replacement from zjvibvj. What is prob of sequence viz? 1/105 Two letters picked without replacement from hmzm. Give prob of sequence hm. 1/6 What is prob of sequence wpll when four letters picked without replacement from lgwwtxwlltgtp? 3/2860 Four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
at -9*t**3 + 3*t**2 - r - t**4 + 3*t**4 + 9*t + t**4 = 0. -1, 1, 2 Let k = 0 + -15. Let t = 31 + k. Factor 30 - 21*i + 25*i**2 - 48*i - t*i. 5*(i - 3)*(5*i - 2) Factor -288 + 0*m**3 - 60*m**3 + 4197450*m**4 - 4197454*m**4 - 464*m - 264*m**2. -4*(m + 2)**3*(m + 9) Let b(d) be the third derivative of d**8/1008 - d**7/90 - 31*d**6/360 + 7*d**5/180 + 5*d**4/12 - 186*d**2. Solve b(g) = 0. -3, -1, 0, 1, 10 Factor -3*q + 8*q + 9*q**3 - 10*q**4 + 2*q**2 + 26*q**2 + 11*q - 43*q**3. -2*q*(q - 1)*(q + 4)*(5*q + 2) Suppose -2*i = -2*t - 18, -i - 3*t - 35 = -6*i. Suppose 5*o - 6 = i. Solve -f**2 + 3*f**2 - o - 4*f - 4*f**2 = 0 for f. -1 Suppose 2 = -26*q + 28*q. Let b(u) = -u**3 - u**2 - u + 1. Let v(h) = 6*h**3 - 9*h**2 - 24*h - 3. Let w(g) = q*v(g) - 3*b(g). Let w(x) = 0. What is x? -1, -1/3, 2 Let p(y) = y**2 - y + 1. Let k(s) = 110*s**2 + 70*s + 26. Suppose -h + 4 = -5*h. Let x(z) = h*k(z) + 10*p(z). Factor x(r). -4*(5*r + 2)**2 Let m(f) = -f + 27. Let z be m(15). Factor -4 + 11*l - 16*l**3 + 11*l**4 - z*l**2 - 6*l**4 + 11*l**4 + 5*l. 4*(l - 1)*(l + 1)*(2*l - 1)**2 Factor 22/5*l + 2/5*l**3 - 24/5*l**2 + 0. 2*l*(l - 11)*(l - 1)/5 Let r(h) be the third derivative of 0*h**3 - 1/105*h**5 + 1/14*h**4 + 0*h + 0 + 21*h**2. Find v such that r(v) = 0. 0, 3 Factor 111*h**3 + 204*h**2 + 41*h + 37*h**3 + 59*h + 44*h + 40*h**4 + 4*h**5 + 36*h**2. 4*h*(h + 2)**2*(h + 3)**2 Let b = -78 - 2. Let u be 13/15 + 16/b. Find s, given that 2/9*s**2 + u*s**3 - 4/9 - 2/3*s + 2/9*s**4 = 0. -2, -1, 1 Let n(t) = -6*t**2 + 160*t - 1168. Let z(g) = 4*g**2 - 107*g + 779. Let l(s) = 5*n(s) + 8*z(s). Let l(b) = 0. What is b? 14 Let z = 565/7 - 161/2. Let q(s) be the second derivative of 2*s - z*s**4 - 27/7*s**2 + 0 + 9/7*s**3 + 1/70*s**5. Let q(h) = 0. What is h? 3 Let f(o) be the third derivative of -7*o**6/72 - o**5/8 + 5*o**4/6 + 11*o**3/6 + 11*o**2. Let a(v) be the first derivative of f(v). Factor a(l). -5*(l + 1)*(7*l - 4) Let r(m) be the second derivative of 0 - 11/2*m**2 - 16/3*m**3 - 7/4*m**4 + 5*m. Let f(h) = -5*h**2 - 8*h - 3. Let v(j) = 26*f(j) - 6*r(j). Factor v(i). -4*(i + 1)*(i + 3) Let r be (-4)/10 + (-516)/210 - -3. Let d(t) be the first derivative of -3 + 3/7*t + r*t**3 - 3/7*t**2. Find q, given that d(q) = 0. 1 Let p(j) = -3*j**3 - 12*j**2 + 3*j + 12. Let o be p(-4). Solve 0 - 10/3*a**2 + 5/3*a**3 + 10/3*a**4 + o*a - 5/3*a**5 = 0. -1, 0, 1, 2 Factor -30 - 36*x**2 + 25*x - 38*x**2 - 36*x**2 + 105*x**2. -5*(x - 3)*(x - 2) Let p(h) be the second derivative of h**7/378 - h**6/270 - h**5/12 - 23*h**4/108 - 5*h**3/27 - 119*h. Suppose p(j) = 0. What is j? -2, -1, 0, 5 Let a(z) be the third derivative of 18*z**2 + 1/270*z**5 + 0*z**4 + 1/1512*z**8 + 1/315*z**7 + 0*z**3 + 1/180*z**6 + 0 + 0*z. Find c, given that a(c) = 0. -1, 0 Solve 108*o + 1125 + 59*o - 17*o + 5*o**2 = 0. -15 Let t(c) = c**3 + 4*c**2 + 5*c + 7. Let m be t(-3). Let k be (m/(-3))/(-5 - 40/(-9)). Suppose k + 9/5*z + 3/5*z**3 + 9/5*z**2 = 0. Calculate z. -1 Let f(l) be the third derivative of l**7/1050 + l**6/75 + 19*l**5/300 + l**4/10 + 675*l**2. Suppose f(q) = 0. What is q? -4, -3, -1, 0 Let w(h) = -16*h**3 + 9*h**2 + 238*h + 9. Let b(i) = 4*i**3 - 2*i**2 - 60*i - 2. Let j(m) = 9*b(m) + 2*w(m). Determine d so that j(d) = 0. -4, 0, 4 Let f(w) be the second derivative of 14/3*w**3 + 0 - 12*w**2 - 15*w - 1/5*w**5 + 0*w**4. Factor f(i). -4*(i - 2)*(i - 1)*(i + 3) Determine y, given that 0 - 24/7*y**4 + 6/7*y**2 + 0*y + 9/7*y**3 + 9/7*y**5 = 0. -1/3, 0, 1, 2 Let r = 142/33 + -98/33. Factor -r + 2/3*g + 2/3*g**2. 2*(g - 1)*(g + 2)/3 Let h(q) be the third derivative of q**7/168 - q**6/12 + 17*q**5/48 - 25*q**4/48 - 12*q**2 + 6. Find o such that h(o) = 0. 0, 1, 2, 5 Let m(k) be the first derivative of -40*k**4 + 148*k**3 - 136*k**2 + 48*k + 98. Factor m(q). -4*(q - 2)*(5*q - 2)*(8*q - 3) Suppose -7*f + 2*f = 4*o - 36, -5*o + 2*f = -12. Suppose 0*h - 8 = -o*h. Factor 0 - z - 9/2*z**h - 7/2*z**3. -z*(z + 1)*(7*z + 2)/2 Let l = 2333 + -2333. Suppose 2/23*c**5 + l + 0*c + 0*c**3 - 2/23*c**4 + 0*c**2 = 0. What is c? 0, 1 Let s(b) be the first derivative of b**3/2 - 3*b**2 - 15*b/2 + 196. Solve s(m) = 0. -1, 5 Let a be (((-528)/(-20))/11)/(42/20). Solve 2/7*k**2 - 6/7*k - a = 0. -1, 4 Let q(p) = -1 + 12 - p - 10. Let z be q(1). Determine r, given that -4*r**2 + 4*r**3 + 24*r**2 - 12 - 4*r - 8*r**4 + z*r = 0. -1, 1, 3/2 Let w(n) be the first derivative of 1/12*n**3 + 0*n + 6 - 1/8*n**2. Factor w(a). a*(a - 1)/4 Let c(t) be the third derivative of -t**7/210 + 31*t**6/15 - 1922*t**5/5 + 119164*t**4/3 - 7388168*t**3/3 - 242*t**2. Factor c(y). -(y - 62)**4 Suppose -3*l - 5*v + 110 + 2 = 0, 2*v + 140 = 3*l. Suppose -5*f - 72 = -2*s, -2*f = 2*s - 0*f - l. Find t such that -30*t + s*t - 4*t**2 + 20*t - 16 = 0. 2 Let w(p) be the second derivative of 0 + 4/45*p**6 + 1/9*p**3 + 1/63*p**7 - 22*p + 2/9*p**4 + 1/5*p**5 + 0*p**2. Factor w(d). 2*d*(d + 1)**4/3 Let i = 1577/8 + -197. Let s(c) be the second derivative of 0 - 1/80*c**5 + 1/8*c**2 + 1/16*c**4 - i*c**3 - 2*c. Factor s(y). -(y - 1)**3/4 Let w(a) = -1. Let o(m) = -2*m + 5. Let j(f) = o(f) + 6*w(f). Let x be j(-3). Let 2*r**4 - r**5 - 2*r**x + 0*r**4 + r**4 = 0. Calculate r. 0, 1 Let c = 3209 + -3209. Factor -1/3*j**4 + c + j**2 - 2/3*j + 0*j**3. -j*(j - 1)**2*(j + 2)/3 Let c(j) = -j**3 - 7*j**2 - 7. Let y be c(-7). Let m = -5 - y. Solve 25*p**m - 1 + 36*p + 3*p**2 + 6 + 3 = 0. -1, -2/7 Let y(q) be the first derivative of -q**4/2 - q**3/3 + 3*q**2/2 + q - 3. Let u be y(-2). Factor u + 18*w**2 + 28*w + 2*w**2 + 5 + 4*w**3. 4*(w + 1)**2*(w + 3) Let a(r) be the first derivative of 5*r**3/3 - 35*r**2/2 + 60*r + 162. Factor a(v). 5*(v - 4)*(v - 3) Suppose 3*l - o = -528, 0 = -3*l + 3*o - 87 - 441. Let u be (32/l)/((-1)/11). Find n, given that 0*n - 2/3*n**u + 2/3 = 0. -1, 1 Let b(i) be the first derivative of -i**5 - 15*i**4/4 - 5*i**3/3 + 15*i**2/2 + 10*i - 119. Factor b(m). -5*(m - 1)*(m + 1)**2*(m + 2) Let m(q) be the second derivative of q**6/1260 + q**5/140 - q**4/21 - 2*q**3/3 + 19*q. Let f(t) be the second derivative of m(t). Let f(u) = 0. Calculate u. -4, 1 Suppose -1/2*q**3 + 5/2*q**2 - 3*q + 0 = 0. Calculate q. 0, 2, 3 Suppose -14*c = -9*c - 3*v - 8, 2*c = 3*v - 4. Let g(b) be the second derivative of 0*b**2 + 0*b**3 - 1/4*b**c + 0 - 6*b. Find s, given that g(s) = 0. 0 Let b = -7342/3 - -2448. Suppose b - 1/3*a**3 - 2/3*a**2 + 1/3*a = 0. Calculate a. -2, -1, 1 Let d(b) be the second derivative of 5*b**4/12 + 100*b**3/3 + 195*b**2/2 - b - 145. What is y in d(y) = 0? -39, -1 Factor 121/5 + 1/5*u**3 + 99/5*u - 21/5*u**2. (u - 11)**2*(u + 1)/5 Let r be ((-6)/5)/(16 - (-326)/(-20)). Let b(n) be the third derivative of 5*n**2 - 4/3*n**3 + 0*n - 1/120*n**5 - 1/6*n**r + 0. Determine i so that b(i) = 0. -4 Let r(a) be the first derivative of 4*a**5/5 - 4*a**4 + 20*a**3/3 - 4*a**2 + 2. Factor r(p). 4*p*(p - 2)*(p - 1)**2 Let x(a) be the third derivative of 11 - 1/72*a**6 - 4*a**2 - 1/9*a**3 + 5/72*a**4 + 0*a + 1/90*a**5. What is p in x(p) = 0? -1, 2/5, 1 Let i = 193 - 191. Let f(v) be the third derivative of -1/105*v**7 + 0*v + 0*v**3 - 2/15*v**5 + 7*v**i + 0 + 0*v**4 + 1/15*v**6. Factor f(r). -2*r**2*(r - 2)**2 Let c = -166966/17 - -9822. Suppose 0 + 6/17*f**3 + c*f**2 - 8/17*f = 0. Calculate f. -2, 0, 2/3 Let c(z) be the first derivative of z**4/20 + 2*z**3/3 + 82. Factor c(l). l**2*(l + 10)/5 Let u(j) be the third derivative of j**7/210 - j**6/60 - j**5/20 + 106*j**2. Find h, given that u(h) = 0. -1, 0, 3 Let l be 8 + -3*215/135 + -3. Factor 4/9*t**2 - 4/9 - 2/9*t**3 + l*t. -2*(t - 2)*(t - 1)*(t + 1)/9 Suppose -18 = -2*f - 3*l, 14 + 3 = 3*f + 2*l. Let t be -4*f/3 + 66/11. Determine q, given that 4/9*q**4 + 4/9 + 4/9*q**3 - 2/9*q**5 - 8/9*q**t - 2/9*q = 0. -1, 1, 2 Solve 194/15*g**4 - 2/5*g**5 + 0 + 5324/15*g - 682/5*g**3 + 2178/5*g**2 = 0 for g. -2/3, 0, 11 Let l(c) be the second derivative of -c**5/30 - 5*c**4/12 - 4*c**3/3 - c**2 - 16*c. Let b(s) be the first derivative of l(s). What is t in b(t) = 0? -4, -1 Suppose 2*z - 3*z + 2*c + 608 = 0, 0 = -2*c - 8. Determine u, given that -278*u**2 - 3*u**4 + z*u + 8*u**2 + 48*u**3 - 379 + 4 = 0. 1, 5 Factor -332081*y**4 - 15*y**3 + 332076*y**4 + 0 + 0. -5*y**3*(y + 3) Let a(z) be the third derivative of z**6/300 + 18*z**5/25 + 324*z
{ "pile_set_name": "DM Mathematics" }
qual? True Let f = -1.08 - -1.3. Are f and 0.1 equal? False Let s be (-4)/(-22)*(-63)/(-16). Let b = s - -3/8. Which is smaller: b or 0? 0 Let t = -5 - -3. Let q be (-5 + 3)*(-1)/(-2). Let s = t + q. Which is bigger: s or -5/2? -5/2 Let o = -12465/4 + 3162. Let b = -45 + o. Is b > 1? False Let l = -5 + 5. Suppose -3*u + 0*u + 6 = l. Suppose 0 = -u*o - o. Which is bigger: -4/3 or o? o Let g = 58 + -58.23. Let y = 0.13 + g. Is y >= -1/4? True Let d = -168 - -161. Is d >= -7? True Suppose -2*o = -o + 1. Let k = -434/209 - -24/11. Which is bigger: k or o? k Suppose 5*u - 9 = -v, 4*u = -5*v - 26 + 71. Suppose -7*l + v*l - 10 = 0. Let a = l + -3. Is a less than 3? True Let u = 2.046 - 0.046. Which is bigger: u or 4/5? u Let q be ((-11)/(-28))/((-1)/(-2)). Let p = -15/14 + q. Which is smaller: -1 or p? -1 Suppose -15 = -4*w - 5*q - 0, -2*w = -5*q + 15. Suppose w = 2*f + 2 - 4. Is 1 <= f? True Let a be 0*(2 - (-5)/(-2)). Suppose 3*h = 3 + 6. Let z be h*(-2)/(-18) + 0. Is z at most a? False Let c be (11/(-3058))/(2/(-4)). Let x = -968/695 - c. Is -1 > x? True Suppose -4*v - t + 11 = 0, -4*v = 5*t - t - 8. Is 2 at most v? True Let h = -10 - -5. Is h greater than 0? False Suppose 0 = 2*y + 16 - 6. Let h be (y/(-40))/(2/4). Which is bigger: h or -1/2? h Suppose -4*z + 9 = m, 3*m + z - 1 = 4. Let o be 0 + 1 + (-4596)/40. Let t = o + 114. Does t = m? False Suppose 0 = -2*z - 5*q - 277, -3*z + q + 2*q = 384. Which is greater: -132 or z? z Let a = -124 - -206. Suppose 0 = o + 3*o + 104. Let x be a/o - (-2 - 1). Does x = -1? False Let b be 259/(-1449) + 2/9. Do b and 1 have the same value? False Let f(i) = 4*i + 2. Let x be f(0). Which is smaller: x or -8? -8 Let i = -274/5 - -54. Let d(z) = z - 2. Let o be d(2). Let f = o + -1. Which is greater: i or f? i Let m(c) = c**2 - 3*c - 4. Let b be ((-4)/(-3))/(3/9). Let f be m(b). Let j = -3 + 3. Is f < j? False Let c = -136 + 138. Let x = -4 + -4. Which is smaller: x or c? x Let h = 23 + -14. Suppose 2*r + 18 = -3*n - n, 4*n + h = -5*r. Let g be 1/(-10) - n/(-15). Which is smaller: g or -0.2? g Let q = -62 + 123/2. Is 3 equal to q? False Let m be (2/(-3))/(((-180)/(-297))/(-10)). Are m and 12 non-equal? True Let h be (4/(-184))/(1/3). Which is greater: 0 or h? 0 Let a(o) = -o**2 - 2*o. Let z be a(0). Which is greater: z or -1/27? z Let h = -0.9 + -1.1. Does -1 = h? False Suppose -4*u - 2 = -6. Suppose 13 = -4*m + u. Let l = m - -5. Is l > 2? False Let q = 2624/19 + -138. Which is greater: -0.3 or q? q Suppose 13*o - 5*o = -8. Which is smaller: o or 6/13? o Let v(w) = 2*w - 8 - 2 - 3*w. Let z be v(-7). Let i = -195/4 - -49. Is i at most as big as z? False Let n(o) = -o + 2. Let d = -5 + 7. Let y be n(d). Let u = -21/2 + 235/22. Which is bigger: y or u? u Let s be -2 - 3/(-36)*22. Suppose g - 8 = -2*i, 4*g - 25 = -g - 5*i. Let f be g + 1 - (-15)/(-5). Which is bigger: s or f? f Let o = 0.1 - 0. Let q(s) = -s - 3. Let c be q(6). Let f be (15/70)/(c/12). Is o at least f? True Suppose -a = -1 + 6. Suppose 19 = 2*s + s - 2*t, -21 = -2*s + 3*t. Let u = a + s. Which is smaller: u or 1? u Let f = 13 - 14. Let a be -3*(f - (-6)/3). Is a > -7/3? False Let k = 9 - 9. Is 0 < k? False Let o = 95534303/15 + -6366492. Let g = -7258/3 + o. Let p = 42 - g. Which is smaller: 1 or p? p Let x be (-4)/39*126/(-32). Let b be -1 - (2 - (-37)/(-13)). Let s = x + b. Is 2/7 not equal to s? True Let u = -7543/4 - -1865. Is u bigger than -22? True Let u be 4*3/12 + -3. Which is greater: -1 or u? -1 Suppose 0 = 5*t - 4*k + 81, -3*k + 17 = 5. Which is smaller: t or -14? -14 Let x = 0.9 + 1.7. Are x and -0.2 nonequal? True Let a(z) = 3*z**2 - 6. Let w be a(-2). Is w at most 10? True Suppose -4*q - 5*x = -15, 5*q = -2*x + 54 - 14. Which is smaller: q or 11? q Let b(i) = i**3 - 6*i**2 - 8*i + 1. Let m be b(7). Let x(w) = -w**3 - 5*w**2 + 6*w - 4. Let l be x(m). Let d = l + 2. Which is greater: -4 or d? d Let n = -13.8 - -13.8. Let i(f) = f**2 - f + 15. Let r be i(0). Are n and r equal? False Let q be (-16 - -18)/((-2)/6). Is q less than -5? True Suppose 7*c - 2*c = 0. Suppose c = -3*h - 0*h. Which is bigger: 4/7 or h? 4/7 Suppose 14 = 3*v + 2*x, 0 = 2*v - 4*v + 3*x + 31. Let n = -81/10 + v. Does n = 0? False Suppose 8 = 5*o - 3*o. Let k = o - 4. Let z be (-3)/(-33)*13 + -1. Is k <= z? True Suppose 3*p - 4*m + 16 = 0, -2*p + 3*m = -0*m + 12. Let d be -2 - -1 - 5/(-5). Let s be 1 - (3 + -1) - d. Is p greater than s? True Let i = 22 + -32. Which is smaller: i or -9? i Let o = -302086 + 100594775/333. Let z = o - 7/37. Which is smaller: z or 2? z Let k(q) = -q**2 - q - 24. Let v be k(0). Let s be 1354/v - 3/12. Let b = 58 + s. Is b at least as big as 0? True Let y be (-18)/((-6)/3 - -1). Let k = -17 + y. Is 3/20 smaller than k? True Let j = -39 - -38. Are -5/26 and j equal? False Let r be (-3)/15 + 62/10. Let s be ((-9)/r - -1)*2. Let x = s - -3. Is x at most 2? True Let d = 0.2 - 0.4. Which is bigger: d or -3/2? d Suppose 48*v = 42*v - 24. Suppose 24 = 4*j - 2*j. Suppose -4*z + 2*c - j = 0, -8 = 2*z + 5*c + 22. Which is greater: v or z? v Let m(t) = -7*t**2 - 3*t + 3. Let o be m(1). Let c be 18/(-462) - (-1)/o. Suppose q = -q. Which is smaller: c or q? c Let y(b) = -b + 2. Let g be y(4). Let v = g - -2. Is -1 at most v? True Let r be (-1 - 0)*(-3)/15. Let m(p) = p - 3. Let t be m(4). Is t not equal to r? True Let y = -29/110 - 1/10. Is 1 >= y? True Suppose 0 = 3*t - 0*t - 15. Suppose -t = 3*k - 8*k. Let x = -1139/3399 + 2/1133. Is k less than x? False Suppose q + 6 = 4*d - 95, -2*d = -2*q - 46. Do d and 25 have the same value? False Let g(k) = 2*k**3 - 2*k**2 - 4*k + 6. Let h be g(3). Which is smaller: h or 29? 29 Let a = -2 - -1. Let l = -1261/10 - -126. Which is bigger: a or l? l Let v = 0.2 + 0.2. Let y = 0.6 - v. Which is smaller: -1/3 or y? -1/3 Let x be (-2)/(-26)*3/4. Let q = x - 4/13. Which is greater: q or -0.4? q Let i = 9 - 5. Let v = i + -3. Let q(z) = z**2 - 7*z + 6. Let f be q(6). Do f and v have different values? True Let b(c) = -c**3 - 6*c**2 - 7*c - 5. Let k be b(-5). Suppose -k*j = 11 - 1. Let q = j - 0. Is q > -1/2? False Suppose -692 = 4*r - 2*t, -72 + 764 = -4*r - 4*t. Let a = -2943/17 - r. Is a equal to -1? False Let h = -6.3 + 6. Let y = 0.1 - h. Let z = y + -0.5. Which is smaller: z or 1? z Let y = -5 + 14. Let x be 5/(-15) + 3/y. Which is smaller: x or 1/5? x Let d(f) = -f**2 + 23*f - 31. Let t be d(25). Is -82 less than or equal to t? True Let o(j) be the first derivative of -j**4/4 + 7*j**3/3 - 7*j**2/2 + 4*j + 2. Let g be o(6). Let w = 1/22 - 6/11. Which is smaller: w or g? g Suppose -3*b + 3*o + 11 = 2, 7 = 4*b + o. Which is greater: 3/4 or b? b Let q = -51 + 60. Let i = 24 + -16. Which is smaller: q or i? i Let l = 0 + 0.02. Let w = l + 0.28. Is 2/3 <= w? False Let k be (1258/(-42))/((-11)/3). Let c = -82/11 + k. Is 1 < c? False Let b = 16 + -16. Which is greater: b or -2/47? b Let b(a) = a + 2. Let x be b(-4). Let n(u) = -2*u**2 - 12 - u**3 + 9*u**2 + 4 - 5*u. Let r be n(6). Is x greater than or equal to r? True Let b = 164986/10101 + -1/3367. Which is greater: 15 or b? b Let s(p) = -p + 3. Let w be s(4). Let o = -43819/273 - -1930/13. Let j = -37/3 - o. Do j and w have the same value? False Suppose 4*v = -v. Let i be (2/(-15))/(8/10). Which is smaller: i or v? i Let u = -2.0218 - -0.0218. Let l = 1925/2 + -941. Let k = l - 22. Which is smaller: u or k? u Suppose 5*b - 76 = q, -4*q = 2*b - 20 - 6. Is 15 at most b? True Let t = -17 + 12. Let u be (-7 + 3)*t/(-12). Is -2 less than or equal to u? True Let a = -2175 - -6587/3. Let y = 21 - a. Is -0.2 equal to y? False Let i = 1.07 + -1. Let p = -0.03 - i. Is 1/3 > p? True Suppose -4*f = -3*f + 2. Suppose 203 = 3*m - 5*b - 82, -2*m = 4*b - 168. Let j be 57/m + f/4. Is j at most as big as 1? True Let u = -1 + 3. Let s = u - 3. Which is smaller: s or -2? -2 Let x = -6 + -2. Let j = -5 - x. Is 0 > j? False Let o = 100 - 307/3. Which is smaller: -1 or o? o Let k be (-2)/(-1) + (-12)/(-3). Let r be 897/9 - (-2)/k. Let m be 8/r*(-6 + 1). Which is bigger: m or 0? 0 Let a be (-51)/15 + (-4)/(-10). Let t be 3*a*4/(-18). Is t smaller than 1? False Let p = 0.2 + 1.6. Is -2/5 smaller than p? True Suppose -10*q + 8 + 2 = 0. Are q and -5/16 equal? False Let g = -15 - -34. Let o = 527
{ "pile_set_name": "DM Mathematics" }
*o/5 = 0. -3, 0, 992 Find a, given that -2*a**5 - 230*a**4/3 - 1246*a**3/3 - 302*a**2 + 1748*a/3 + 640/3 = 0. -32, -5, -2, -1/3, 1 Determine y, given that 4*y**3 + 9272*y**2 - 9276*y = 0. -2319, 0, 1 Factor -4*t**3 - 45684*t**2 - 130416396*t + 130462084. -4*(t - 1)*(t + 5711)**2 Determine m so that 3*m**5 + 96*m**4 + 840*m**3 + 882*m**2 - 3915*m - 4050 = 0. -15, -3, -1, 2 Solve 306*m**2/5 + 309*m/5 + 3/5 = 0. -1, -1/102 Factor 3*l**2 - 774*l - 7209. 3*(l - 267)*(l + 9) Solve -75*r**5 - 6970*r**4 + 21900*r**3 - 17240*r**2 + 3840*r = 0. -96, 0, 2/5, 2/3, 2 Determine j, given that -6*j**4/19 + 15896*j**3/19 + 74358*j**2/19 - 122096*j/19 + 31848/19 = 0. -6, 1/3, 1, 2654 Factor 4*g**2 - 116968*g. 4*g*(g - 29242) Factor 19*z**3/3 - 25*z**2/3 - 524*z/3 - 160. (z + 1)*(z + 4)*(19*z - 120)/3 What is z in z**3/5 - 7519*z**2/5 - 37616*z/5 - 30096/5 = 0? -4, -1, 7524 Find p, given that 3*p**3 - 16173*p**2 + 21789072*p + 21805248 = 0. -1, 2696 Factor -4*c**3 + 2157900*c**2. -4*c**2*(c - 539475) Determine p, given that -2*p**5 + 1038*p**4 + 3130*p**3 + 1050*p**2 - 3128*p - 2088 = 0. -2, -1, 1, 522 Determine y, given that -2*y**3 + 126*y**2 + 132*y - 256 = 0. -2, 1, 64 Suppose 3*n**4 + 5544*n**3 + 82566*n**2 + 147744*n - 1336257 = 0. What is n? -1833, -9, 3 Factor -3*f**2 - 459*f + 930. -3*(f - 2)*(f + 155) Factor 22*o**3 - 48788*o**2 + 27039638*o + 9839048. 2*(o - 1109)**2*(11*o + 4) Determine z so that 4*z**4 - 428*z**3 + 2072*z**2 - 3280*z + 1632 = 0. 1, 2, 102 Suppose -18*l**4 - 3165*l**3 - 14946*l**2 - 11799*l = 0. Calculate l. -171, -23/6, -1, 0 Factor -5*d**3/4 + 1265*d**2/4 + 5165*d/4 - 6425/4. -5*(d - 257)*(d - 1)*(d + 5)/4 Factor -f**2 - 801938*f - 160776138961. -(f + 400969)**2 Factor 3*f**2 + 53406*f + 106800. 3*(f + 2)*(f + 17800) Factor -z**2/6 - 906*z + 27255/2. -(z - 15)*(z + 5451)/6 Factor -3*z**2 - 7680*z. -3*z*(z + 2560) Factor -5*c**3 + 6295*c**2 - 305375*c + 3778125. -5*(c - 1209)*(c - 25)**2 Factor -8*u**3 - 6876*u**2 + 3444*u + 3440. -4*(u - 1)*(u + 860)*(2*u + 1) Factor 3174*k**3 - 15868*k**2 - 76186*k - 48. 2*(k - 8)*(k + 3)*(1587*k + 1) Factor -n**2 + 5358*n + 48303. -(n - 5367)*(n + 9) Find g, given that -5*g**3 - 4725*g**2 - 65415*g - 228095 = 0. -931, -7 Determine j, given that -18*j**4 - 134*j**3 - 230*j**2 + 134*j + 248 = 0. -4, -31/9, -1, 1 Find z such that -z**2 - 3153*z + 12628 = 0. -3157, 4 Factor -w**3/2 - 10*w**2 + 25*w/2 + 250. -(w - 5)*(w + 5)*(w + 20)/2 Determine u, given that 2*u**2 + 1532*u + 63536 = 0. -722, -44 Factor 2*n**3/7 - 16936*n**2/7 - 84718*n/7 - 101676/7. 2*(n - 8473)*(n + 2)*(n + 3)/7 Find m such that 18*m**2 + 7382*m + 820 = 0. -410, -1/9 Solve -3*a**2 - 954822*a + 954825 = 0 for a. -318275, 1 Solve 6*s**2/5 - 129872*s/5 + 389562/5 = 0. 3, 64927/3 Factor d**2/10 + 4801*d/10 - 81426. (d - 164)*(d + 4965)/10 Solve 5*r**4 - 1648220*r**3 + 135829810190*r**2 + 271664565060*r + 135833106645 = 0 for r. -1, 164823 Find x such that -20*x**4 - 58368*x**3 + 444996*x**2 + 714016*x + 210672 = 0. -2926, -1, -2/5, 9 Let 2*l**5/7 + 138*l**4 + 274*l**3 - 2894*l**2/7 - 3840*l/7 + 3848/7 = 0. What is l? -481, -2, 1 Find q such that -6*q**4 + 28635*q**3 - 34258026*q**2 + 221554659*q - 102216402 = 0. 1/2, 6, 2383 Factor -3*t**2 - 753072*t - 47259786432. -3*(t + 125512)**2 Factor 3*n**2/4 + 2408499*n/2 + 1933622477667/4. 3*(n + 802833)**2/4 Factor 3*j**3/7 - 657*j**2/7 + 43992*j/7 - 821748/7. 3*(j - 94)**2*(j - 31)/7 Factor 2*i**3/7 + 2508*i**2/7 + 773568*i/7 - 7988480/7. 2*(i - 10)*(i + 632)**2/7 Find g, given that g**4 - 156710*g**3 + 8185955796*g**2 - 142531133563546*g - 142539319676053 = 0. -1, 52237 Factor -b**4/3 - 11*b**3/3 + 25*b**2/3 - 13*b/3. -b*(b - 1)**2*(b + 13)/3 Solve -2*s**3/15 + 13976*s**2/5 + 13978*s/5 - 16772/3 = 0. -2, 1, 20965 Factor 45*x**2 + 6040*x + 1340. 5*(x + 134)*(9*x + 2) Factor -4*l**4 - 27147*l**3 + 6787*l**2. -l**2*(l + 6787)*(4*l - 1) Determine n, given that n**5/3 + 55*n**4/3 + 124*n**3 - 316*n**2/3 - 6208*n/3 - 3008 = 0. -47, -6, -4, -2, 4 Determine m, given that 3*m**2 - 399534*m + 13302284763 = 0. 66589 What is y in -4*y**2/7 + 177984*y/7 - 1979894016/7 = 0? 22248 Factor -4*j**2 - 3952*j - 15744. -4*(j + 4)*(j + 984) Factor 3*r**3/5 + 236*r**2/5 - 377*r + 602/5. (r - 7)*(r + 86)*(3*r - 1)/5 Factor 8*h**2 - 33886*h - 8472. 2*(h - 4236)*(4*h + 1) Determine g, given that -2*g**4/3 + 12*g**3 + 334*g**2/3 + 144*g - 800/3 = 0. -4, 1, 25 Let -4*i**2 + 16216*i - 16434916 = 0. Calculate i. 2027 Let 4*y**5/7 - 712*y**4/7 + 32544*y**3/7 - 528128*y**2/7 + 3577856*y/7 - 8699904/7 = 0. Calculate y. 8, 36, 118 Solve -5*o**5 + 110*o**4 + 245*o**3 - 110*o**2 - 240*o = 0 for o. -2, -1, 0, 1, 24 Determine y so that -28*y**5 - 9568*y**4 - 816012*y**3 + 233928*y**2 = 0. -171, 0, 2/7 Determine p so that p**4/5 + 7*p**3/5 - 45*p**2 - 315*p = 0. -15, -7, 0, 15 Factor q**4 + 1355*q**3 + 6758*q**2 + 10804*q + 5400. (q + 1)*(q + 2)**2*(q + 1350) Solve -l**3/6 + 31*l**2/3 + 883*l/2 + 3627 = 0. -18, -13, 93 Find m, given that m**2/2 + 56569*m + 3200051761/2 = 0. -56569 Solve -3*s**5 - 75*s**4 + 858*s**3 - 2004*s**2 + 1224*s = 0. -34, 0, 1, 2, 6 Factor 442*k**3 + 4196*k**2 + 11480*k + 9712. 2*(k + 2)**2*(221*k + 1214) Factor -2*r**2/3 + 135788*r/3 - 135782. -2*(r - 67891)*(r - 3)/3 Factor -2*r**5/3 - 26*r**4 + 7452*r**3 + 612360*r**2 + 12912048*r. -2*r*(r - 123)*(r + 54)**3/3 Factor -x**2 + 428*x - 1275. -(x - 425)*(x - 3) Factor 17405*d**2/3 + 335120*d/3 + 1613120/3. 5*(59*d + 568)**2/3 Let m**3/4 - 31*m**2/4 - 910*m - 14027 = 0. Calculate m. -26, 83 Find v such that -5*v**4 + 65*v**3 - 75*v**2 - 945*v = 0. -3, 0, 7, 9 Suppose -2*t**4/15 + 38*t**3/5 - 366*t**2/5 + 766*t/15 + 132 = 0. What is t? -1, 2, 11, 45 Factor -4*k**3 + 2984*k**2 + 30204*k + 27216. -4*(k - 756)*(k + 1)*(k + 9) Determine v, given that 3*v**4/2 + 69*v**3/2 + 150*v**2 - 450*v = 0. -15, -10, 0, 2 Determine m so that -3*m**2 + 1440*m = 0. 0, 480 Factor 50*t**2/13 + 2642*t/13 + 2592/13. 2*(t + 1)*(25*t + 1296)/13 Determine y so that 147*y**5/2 + 5173*y**4/2 + 71150*y**3/3 + 158872*y**2/3 + 28352*y/3 + 440 = 0. -22, -10, -3, -2/21 Determine v so that -v**5 + 53*v**4/5 + 122*v**3/5 - 76*v**2 - 888*v/5 - 288/5 = 0. -2, -2/5, 3, 12 Determine d so that -5*d**2/3 + 5600*d/3 - 1865 = 0. 1, 1119 Find p, given that p**4/4 - 289*p**3/2 + 710*p**2 + 7225*p/2 - 71625/4 = 0. -5, 5, 573 Suppose 5*t**4 - 465540*t**3 - 2793360*t**2 - 5586800*t - 3724560 = 0. Calculate t. -2, 93114 Find l such that -3*l**2 - 8520*l = 0. -2840, 0 Suppose -2*g**3/13 - 135106*g**2/13 + 20786*g - 135110/13 = 0. What is g? -67555, 1 Factor -3*z**3 - 627*z**2 - 12705*z - 67881. -3*(z + 11)**2*(z + 187) Find p such that -2*p**5 - 344*p**4 - 22010*p**3 - 616676*p**2 - 6174488*p + 6813520 = 0. -46, -35, 1 Factor 3*w**2/8 + 1284*w - 15462. 3*(w - 12)*(w + 3436)/8 Find b such that -2*b**5 + 54*b**4 + 670*b**3 - 774*b**2 - 668*b + 720 = 0. -10, -1, 1, 36 Let 33*w**4 + 28221*w**3 - 51399*w**2 + 18003*w + 5142 = 0. What is w? -857, -2/11, 1 Suppose 2*g**2/9 - 452068*g/9 + 25545684578/9 = 0. Calculate g. 113017 Suppose 12*t**2/7 + 184371*t/7 - 368790/7 = 0. Calculate t. -61465/4, 2 Suppose -5*a**5 + 205*a**4 + 870*a**3 + 1330*a**2 + 895*a + 225 = 0. Calculate a. -1, 45 Find a such that 2*a**5/5 + 546*a**4/5 + 19772*a**3/5 - 2184*a**2/5 - 15824*a = 0. -230, -43, -2, 0, 2 Solve 2*i**5/3 + 92*i**4/3 + 1142*i**3/3 + 2644*i**2/3 - 344*i/3 - 3536/3 = 0 for i. -26, -17, -2, 1 Factor -k**4/2 + k**3/2 + 15*k**2 - 16*k - 80. -(k - 4)**2*(k + 2)*(k + 5)/2 Factor 3*z**5 + 1419*z**4 + 169905*z**3 + 497025*z**2. 3*z**2*(z + 3)*(z + 235)**2 Find l, given that -8625969*l**4/4 - 8620095*l**3/4 + 5873*l**2/4 - l/4 = 0. -1, 0, 1/2937 Factor -6*b**2 + 3007078*b + 1002360. -2*(b - 501180)*(3*b + 1) Find f such that f**4/10 + 3*f**3/10 + f**2/10 - 3*f/10 - 1/5 = 0. -2, -1, 1 Factor 65*u**3 - 8590*u**2 + 1320*u. 5*u*(u - 132)*(13*u - 2) Factor 3*g**3 - 2409*g**2 + 233928*g - 6079860. 3*(g - 695)*(g - 54)**2 Determine r so that 4*r**2 + 20936*r + 354756 = 0. -5217, -17 Factor -3*g**3 + 12315*g**2 - 135066*g - 147384. -3*(g - 4094)*(g - 12)*(g + 1) Find i, given that -814*i**3 - 33370*i**2 - 63328*i + 312 = 0. -39, -2, 2/407 Let v**3/3 + 452*v**2/3 + 901*v/3 + 150 = 0. Calculate v. -450, -1 Factor 4*c**4 + 241*c**3 + 1
{ "pile_set_name": "DM Mathematics" }
e k/175*-5 - 71/(-10). Is j less than or equal to 8? True Let o be (0 - -2)*58/4. Suppose 5*n + o + 6 = 0. Suppose 0*q + 20 = -4*q. Which is bigger: n or q? q Let c = 0.287 + -0.387. Is c bigger than 6? False Suppose -5*t = -23 + 98. Is -2 < t? False Let q be -1 + 298/(-110) + 4. Let d = 383/385 + q. Which is smaller: d or 0.1? 0.1 Let m(j) be the second derivative of j**4/6 - j**3/2 - j**2 + 3*j. Let i be m(3). Are 2 and i nonequal? True Let g(k) = -3*k + 6. Let f = 12 + -9. Let z be g(f). Let n be 5/(-3 - z - 1). Are n and -5 unequal? False Let j be (20*(-5)/(-10))/(-2). Is -11 > j? False Let m be (-4)/(-10) + 1698/5. Let f = m - 4418/13. Is f at least as big as 1? False Let d be ((-14)/(-28))/(-1 + (-3030)/(-3028)). Is 757 less than d? False Let j be -5*(-6)/(-15) + 4 + 0. Are j and 46/19 nonequal? True Let l = 16 + -11. Suppose v + 0 + 9 = 0. Let i be v + 11 + 10/6. Is i less than l? True Suppose -486 = -16*o + 7*o. Let b = o + -31. Is b at least 26? False Let k = 43 + -76.6. Let d = k - -36. Let q = d + -2.4. Which is smaller: q or -6? -6 Let v be (1 - 5) + 1460/28. Let c = -48 + v. Which is smaller: 3 or c? c Let w be (1/89)/((-44)/88). Which is smaller: -0.08 or w? -0.08 Suppose 0*k = k + 4*h + 15, 4*k - h - 8 = 0. Let t be k*-2 + (-49)/(-21). Which is greater: -0.2 or t? t Let i = -2.1 - -12.1. Let m = 679 - 690. Let s = m + i. Which is bigger: -3/7 or s? -3/7 Suppose 0 = 4*a + 3*k + 1 - 0, 0 = 2*a + 2*k. Let f = -863/8 + 108. Is f greater than or equal to a? True Let f = 21 - 28. Let v = 8 + f. Are v and 1/10 unequal? True Let c = 52 - 66. Let i = 3 + c. Let k(y) = -9*y - 1. Let t be k(1). Which is smaller: t or i? i Let c(t) = -t. Let x be c(-1). Let y = 44 + -43. Is x equal to y? True Let r = 0.635 - 762.635. Is r not equal to -1? True Suppose -29 + 5 = -4*j. Let t be ((-15)/6 + 2)*(-3)/j. Which is smaller: 18 or t? t Let k be 2/(-5) - 340/25. Let g = k - -28. Let s = g + -16. Which is greater: s or 4? 4 Let d = 167 + -1181/7. Let i be 8/(4 + 4)*-2. Is i != d? True Let j = 49 - 46. Let y = 52 + -36. Suppose 4*c = 4*v - y, -c - 6 = j*v + 2. Which is smaller: v or 0? v Suppose 4*t - 59 = -p - 0*t, 236 = 4*p - 3*t. Let b(h) = -h**3 - 5*h**2 + 2*h - 25. Let i be b(-7). Are i and p non-equal? False Let d = -272.1 - -272.3. Let m = 47 + -27. Let j = m - 29. Which is smaller: j or d? j Let s be (4 - 2)/(240/(-904)) + 6. Is s less than or equal to -3? False Let x(n) = -n**2 + 8*n - 12. Let y be x(6). Suppose -6*c - 18 = -y*c. Let i be ((-12)/(-170))/(c/(-5)). Are i and -0.2 equal? False Let i = 4452 + -120185/27. Which is bigger: 0 or i? i Suppose -y = -5*u + 22, -7*u + 5*y - 25 = -9*u. Which is smaller: 0.01 or u? 0.01 Let k(x) = x**3 + x**2 - 12*x - 15. Let z be k(5). Which is bigger: 78 or z? 78 Let u(i) = i**3 + 14*i**2 + 1. Let o be u(-14). Suppose -3 - o = 2*p. Which is bigger: p or -10/17? -10/17 Let o(n) = 10*n - 25. Let x(b) = -3*b + 8. Let y(m) = 2*o(m) + 7*x(m). Let a be y(4). Is a greater than or equal to -1? True Let c = 361 - 582. Let q be (2/(-3))/(c/51). Which is smaller: 0 or q? 0 Let v(g) = g**2 + 4*g + 3. Let i be v(-2). Let c be -1 - 1*(i - -5). Suppose d - 9 = 3*x, -x + 4*x + 18 = -2*d. Is d > c? True Let l = -28.86 + 29. Let j = l - -0.06. Is j less than -8? False Let k = 100 + -70. Let j be (-6)/k - (-46)/5. Suppose -j = h - 3*w, 5*h + 4*w = 3*w - 13. Is h >= -2? False Suppose 2*i - 480 - 2492 = 2*q, -4*q + 5*i - 5947 = 0. Is q < -1484? False Let o be (-1 + -1)*(-2)/(9 + -5). Let g be (-1)/(o - (1 - 1)). Are g and -1 non-equal? False Let v(q) = -q**2 - q. Let f(u) = 3*u**2 + u + 6. Let c(x) = f(x) + 4*v(x). Let j be c(2). Is j smaller than -6? False Let k = -68 + 70. Let o = 2.1 - k. Is o smaller than -5? False Let v = 43 - 43.054. Let b = 12.054 + v. Which is smaller: 0.2 or b? 0.2 Let h(b) = b**3 + 4. Let g be h(0). Suppose -5*f + 9 = -3*k - 0*f, 0 = 3*k + g*f + 36. Are -7 and k equal? False Let s = -368 - -1115. Is s at least as big as 1/2? True Suppose 4*j + 6 = -a + 7, j = 3*a - 16. Is j bigger than -1/1210? False Let a = -363 + 14521/40. Let r(l) = l**2 - 8*l - 28. Let x be r(-4). Let f be 132/x + -7 - (-4)/10. Which is smaller: a or f? f Suppose -8*n + 7*n = 0. Suppose 5*p - 335 = -5*o, n*p - 133 = -2*p - 3*o. Suppose p = -0*f - 4*f. Is -16 <= f? False Let a be (3 - (-28)/(-8))*(1 + -3). Let b = 6.9 + 1.1. Let l = 7.94 - b. Do l and a have different values? True Suppose a - 2 = 2. Suppose 0 = -a*v + v - 6. Let c be 192/(-280) + v/(-7). Is -2/7 at most as big as c? False Let i = 18 + -14. Suppose 3*m - 6 = -o + m, -4*o = -2*m - i. Suppose 0 = -2*w - o*w. Which is smaller: 1/4 or w? w Let p = -994 - -1178. Is p > 182? True Suppose -4*v = 3*t - 12, 3 = -0*v + v - 4*t. Suppose -5*k + v*k + 24 = 0. Let a = k + -11. Is -2/7 > a? False Let z be (1202/2314)/(-6*(-2)/(-28)). Let d = 5/267 - z. Which is smaller: d or 1? 1 Let r(j) = j + 8. Let t be r(-3). Suppose -5*y + t*d = -80, 5*d + 20 + 22 = 3*y. Which is smaller: 20 or y? y Let a = 28.2 + -26. Let l = a + -2.3. Which is bigger: l or 1/3? 1/3 Let p be (-5 + (-1581)/(-315))/(1558/5718). Let r = 8/133 - p. Are r and -1 equal? False Let v = 64 + -50. Suppose 0 = -4*j + v + 2. Which is bigger: j or 2? j Let r = 0.25 - 2.6. Let v = 0.35 + r. Which is greater: v or -9? v Let d be ((-36)/45)/((-4)/10). Which is smaller: d or 15/11? 15/11 Let p(g) = -g - 17. Let j be p(-17). Which is smaller: j or 3/22? j Suppose y - 231 = 2*t, 0 = 14*y - 16*y + 6. Which is smaller: -227/2 or t? t Let h = -9 - -21. Let w = 17 - h. Suppose 0 = o - w. Is 5 at most o? True Let i = 37 - 36. Let q be i - 0*(-2)/10. Which is smaller: 18/13 or q? q Suppose 0 = -4*w - w + 40. Let h be w/(2/1) - 0. Let i be (-2)/h - 3/(-2). Which is bigger: i or 0.8? i Suppose 0 = -3*j + 2*j + 5. Suppose -j*w + 345 = -3*a + 6*a, -3*a + 372 = -4*w. Let q be (1/4)/(9/a). Is 4 less than q? False Suppose -2*k - 4*r = -20, -3*k - 29*r - 15 = -32*r. Which is smaller: k or -1/316? -1/316 Suppose -5*r + 2*a + 7 = 0, 17 = 5*r + a - 2. Let q be (-100)/(-8)*2 - r. Is q <= 22? True Suppose -5*g = -15, 4*z + 12 = -z - g. Let c be 4/46*z/12. Is 1 < c? False Let v be (8/6)/(-2) + -1. Let s(k) = 3*k**2 - 7*k - 4. Let w be s(3). Let d be (-1)/w - 22/(-28). Are d and v equal? False Let n = -915/4 + 230. Let d be (1 - 2) + 3 - 5. Let p be d + 2/(-1 - 9/(-6)). Which is greater: p or n? n Suppose -f - 254 = 2*v - 5*f, 3*f + 261 = -2*v. Which is bigger: v or -128? -128 Suppose 0 = 11*f - 9*f - 38. Suppose -8 = -3*q + f. Let z be -2 - (-3)/q*0. Which is smaller: 4 or z? z Let x = -778 + 776. Which is bigger: -28 or x? x Let u(l) = l**2 + 43*l + 347. Let t be u(-11). Which is smaller: 8 or t? t Suppose -2*z = a + 47, -2*z + z = 3*a + 16. Do z and -25 have the same value? True Let j be (-259)/196 + (-20)/(-35). Which is smaller: j or -2? -2 Let h = 10.74 + 0.26. Let c = -10.6 + h. Let t = c - 5.4. Which is smaller: -1 or t? t Let u = -34.2 + 31. Let c = u + 1.2. Let s = -289/3 + 95. Which is smaller: c or s? c Suppose -2*x = -2, 3*x = -3*j + 190 - 64. Is -1 at least j? False Let u(z) = -z**2 + 16*z - 14. Let v be u(16). Let f be (2/3)/(v/(-21)). Which is smaller: f or 0.01? 0.01 Suppose 2*t - 41 = 5*p + 1, -19 = 2*p - 3*t. Which is bigger: p or -10? p Let w = 0.73 - 41.73. Let x = -40.9 - w. Which is smaller: x or -14/3? -14/3 Suppose -6 = 2*i + 3*k + 6, -5*i + k = -4. Is -1/1558 equal to i? False Let y = 758 + -756. Which is smaller: -15/4 or y? -15/4 Suppose 2*z - 30 = 3*f + 5*z, -3*f + 3*z - 24 = 0. Let p = 8/69 - 226/759. Which is greater: p or f? p Let s = 39.8 - 18.8. Which is bigger: s or -21? s Let h be ((-2)/(-5) - (-912)/120)/(-137). Which is smaller: h or 1? h Suppose 9*g + 11*g + 17*g = 9*g. Let c = -7910/27 + 293. Which is bigger: c or g? c Let i be (2 - -3)*(-4)/10. Let o = 1.04 + -1. Let f = -5.04 + o. Is f > i? False Let u(i) = 8*i**3 - 6*i**2 + 6*i. Let r be u(1). Is r smaller than 47? True Let l = -5 + 4. Let v = -5 - -29. Let y = 35 - v. Which is greater: l or y? y Let y = -0.58 - -32.58. Let c = y - 31. Suppose 0 = p - 5. Which is greater: p or c? p Let o(s) = -s**3 + 7*s**2 - 4*s - 10. Let n be o(6). Let h = -1099/8 + 138. Which is greater: n or h? n Suppose 4*v = -5*m + 21, 3*v + 2*m - 6 = 1. Let z = -1224 + 1221.
{ "pile_set_name": "DM Mathematics" }
12 divide v? False Let t be (-7 + 4 - -3)*(-2)/4. Suppose x = -t*x + 224. Is x a multiple of 32? True Let a(d) = d**3 + 2*d**2 - 4*d + 1. Let k be a(-3). Suppose -i - 3*i + s - 58 = 0, 0 = -3*i + k*s - 37. Let q = i + 34. Is 19 a factor of q? True Let a = -1813 - -2909. Is 20 a factor of a? False Suppose -i - 3*b + 6 = 0, 2*b - 10 = i + b. Let h(g) be the third derivative of -3*g**4/8 - 3*g**3/2 - 34*g**2. Does 10 divide h(i)? False Let l = 8 - 4. Suppose 3*v = 5*b + 49, 0*v - 52 = -l*v + 4*b. Is 2/v*2*168 a multiple of 16? False Suppose 4*q - 650 = 58. Is q a multiple of 8? False Suppose 1477 = 9*p - 224. Suppose -3*m - p = -4*w, 2*w + 5*m - 120 = -w. Is w a multiple of 9? True Let n = -10 + 50. Let d = 100 - n. Is 15 a factor of d? True Suppose 5*z + 9*l = 4*l + 15, -2 = -2*l. Suppose 10 = z*m, -y = -4*y + m + 79. Does 4 divide y? True Let b = -56 + 27. Let p = b - -41. Is 3 a factor of p? True Let y(f) = 21*f**2 + 5*f + 74. Is 12 a factor of y(-10)? True Does 17 divide 5 + 2/(8/724)? False Let g(a) be the third derivative of -4*a**4/3 + a**3/3 + 5*a**2. Is 8 a factor of g(-1)? False Suppose x - 7*v - 1883 = -11*v, 2*v - 5629 = -3*x. Does 30 divide x? False Suppose 5*i - 672 = -2*i. Is i a multiple of 12? True Let g be (-5)/15 + (-38)/(-6). Suppose 4*x - g*x = 0. Let m = x - -7. Does 7 divide m? True Suppose 4*q - 9 = 3*q. Suppose -7*x = -89 + 40. Suppose -x*p - 94 = -q*p. Does 16 divide p? False Suppose -4*d - 3 = 5*l, d + l - 19 = 3*d. Is 5 a factor of (6 + d)/(1/(-25))? True Suppose -3*k - 15 = 12. Let o = -3 - k. Is (21/2 + 2)*o a multiple of 36? False Suppose 0*h - 16 = -2*h - 4*k, -5*h + 30 = 5*k. Suppose -5*b + 129 = v, b + 27 = -h*v + 68. Does 5 divide b? True Let d = -16 + -2. Let g = -15 - d. Suppose -5*i + 416 = 5*n - g*i, -i = 3*n - 250. Does 21 divide n? True Let v(w) = 122*w**2 + 2. Let t be v(2). Suppose -11*a - t = -4*a. Let j = 61 - a. Is 28 a factor of j? False Let i(w) = -28*w + 142. Is i(-18) a multiple of 34? True Let h = -69 + 503. Let j = -240 + h. Is j a multiple of 10? False Let x = 462 + -292. Suppose -2*t + l + x = 0, -4*l = -4*t - 9*l + 354. Does 6 divide t? False Let r(l) = -2*l**2 - 1 + 3*l**2 - 2*l + 3*l**2 - l**2. Is r(-5) a multiple of 7? True Suppose -6*f = -9*f + 9. Suppose -40 = -o + f. Does 20 divide o? False Let p = -2440 - -3473. Is p a multiple of 23? False Suppose 0 = -0*v + 2*v + 3*c - 73, -122 = -3*v - 2*c. Suppose -14 - v = -p. Is p a multiple of 28? False Let t(s) = s**2 + 15*s + 21. Let y be t(-14). Suppose 0 = -2*r - 4*q - 26, q - y = -0*r + r. Does 4 divide 2/r + (-1314)/(-81)? True Let s be (-2)/3*(-3)/2. Let u be (1 - -3)*(-1 + 0). Is 5 a factor of (s + u + 4)*5? True Let m be -2 - 3/3 - -15. Let u = m - 12. Suppose -2*r = -u*r - 12. Is 6 a factor of r? True Suppose 2691 = 23*i - 14*i. Does 23 divide i? True Let n(z) = -z**2 - z + 27. Let u be n(0). Let r = 38 - u. Suppose -4*w + r = -17. Is w a multiple of 2? False Let c(z) = -z**2 + 12*z + 7. Let k be c(9). Let h = k - 24. Is 6 a factor of h? False Let d be (0 - 2/5) + (-94)/(-10). Suppose d*t = 15*t - 306. Is 3 a factor of t? True Let i(f) = -f**2 - f + 10. Let y be (3 + -3)*1/(-2). Let d be 3 + (y - 1) + -2. Is i(d) a multiple of 5? True Does 22 divide 7 + (-9 - -1) + 1693? False Let b be (-2)/(-11) - (-544)/(-88). Let x be b/(-9) + (-404)/(-6). Suppose -2*n + 6*n = x. Is n a multiple of 17? True Let q(z) be the third derivative of -z**5/60 + z**4/4 + 8*z**2. Let r be q(3). Let k = r + -4. Is k a multiple of 5? True Let t = 133 + -130. Suppose -292 = -5*z - 4*g, 7*z + g - 238 = t*z. Is z a multiple of 10? True Let h = -16 + 18. Suppose 2*b - u - 18 = 3*u, h*b + 5*u = 0. Suppose -b*r = q - 0*r - 80, -q + 62 = -r. Is 13 a factor of q? True Let x(l) = 2*l + 13. Let j be x(2). Let b = j + 3. Does 5 divide b? True Suppose 0 = -5*z + 2*c + 22, 2*z = -c + 4 + 3. Suppose -w - 3*w + 4*l + 576 = 0, 684 = 5*w + z*l. Is w a multiple of 28? True Suppose 46*i - 450 = -2152. Let x(m) = 12*m - 6. Let b be x(6). Let w = i + b. Is 27 a factor of w? False Let i = -2871 - -4800. Is 34 a factor of i? False Let r = -87 + 159. Is r a multiple of 12? True Suppose 19*c - 16*c = 0, -q - 3*c = -83. Is 23 a factor of q? False Suppose -50 = -5*r - 5*u, r + 2*u + 16 = 5*r. Suppose -r = 88*o - 91*o. Is o a multiple of 2? True Let d = 2883 + -2051. Is d a multiple of 52? True Let n be 11/2 + 3/6. Let v be (2/4)/(n/24). Suppose 0 = 4*a - v*x - 28, -a - x + 4*x = -2. Is a a multiple of 8? True Let z be (-16)/(-72) - 268/(-9). Let g be 6/z - (-19)/5. Suppose g*x + 95 = 5*n + 5*x, 0 = x - 5. Is 18 a factor of n? True Let z be (12/9)/((-1)/18). Suppose -81 = 81*u - 72*u. Let y = u - z. Is y a multiple of 2? False Let t = 464 + -414. Is 25 a factor of t? True Let l(g) = -24*g**3 - g. Let h be l(-1). Suppose 600 = -h*d + 31*d. Is d a multiple of 20? True Suppose 3 + 2 = g. Suppose 3*w - g*w = -4. Suppose -5*r + 410 = w*d, 6 = -3*d - 9. Does 31 divide r? False Let b(h) = h**2 - h + 1. Let d(q) = -5*q**2 - 4. Let s(l) = 4*b(l) + d(l). Let j be s(-2). Is 10 a factor of (6/j)/((-2)/(-80))? True Let y be 1*(0 - (3 + -3)). Suppose -5*f - 3 + 58 = y. Let a = f + 11. Is 17 a factor of a? False Suppose -30*x + 27*x = 0. Suppose 2*r - 144 = -x*r. Suppose k = 5*d - 3*d + 37, 5*d = -k + r. Does 22 divide k? False Let j(c) = 3*c**3 - 3*c**2 + c - 1. Let x be j(2). Let m = -8 + x. Suppose 0*f - f = m*z - 16, -2*f + 23 = z. Does 11 divide f? True Suppose 4*i = -5*a + 149 + 392, 406 = 3*i + 4*a. Let l = i - 45. Let h = l - 23. Does 12 divide h? False Let o(b) = 15*b**3 - 16*b**2 + 14*b + 1. Is o(5) a multiple of 11? False Let u(q) = -q**2 - 15*q + 19. Let m be u(-16). Is (3/m)/((-3)/(-87)) a multiple of 6? False Suppose 0 = -3*m - 18 + 3, 10 = 3*f + m. Suppose -3*g + 3*c = 2*c - 135, f*g - 205 = -5*c. Is 11 a factor of 1*(-5)/((-20)/g)? True Suppose 511 + 191 = 3*q. Suppose 480 + q = 7*f. Suppose f = 7*m - 5*m. Is 9 a factor of m? False Suppose -b - 1 = -2*u, -9 = b - 4*u - 0. Is 60/35 + -2 + 884/b a multiple of 6? True Suppose -4*l + 635 = -365. Is 10 a factor of l? True Let m = 28 + -28. Let b = 2 + m. Suppose -b*v = -3*u - 42 - 49, -4*v - u = -217. Is 20 a factor of v? False Let k(r) = 39*r**2 - 15. Is k(5) a multiple of 30? True Let n(d) be the second derivative of 0 - 5*d + 2*d**3 + 1/2*d**2. Is n(3) a multiple of 18? False Suppose -5*o = 2*g - 2799, g - 1110 = -2*o - 3*g. Is 11 a factor of o? True Suppose -1012 = -4*a - 18*a. Is a a multiple of 4? False Suppose 0 = -10*j + 5*j + 20. Suppose 12 = -w + j*w. Suppose -w*q + 128 = 32. Does 9 divide q? False Suppose -g + 6 = 2. Suppose 3*m + g = 16. Suppose 0 = n + 2*k - 14, 3*n - 3 = m*k + 9. Is 6 a factor of n? False Is 18/24*92/(-6)*-2 even? False Let p(f) = -12*f - 136. Does 18 divide p(-17)? False Let s(r) = -2*r**3 - 9*r**2 + 23*r - 21. Does 12 divide s(-11)? False Let k(c) = -64*c - 20. Is 9 a factor of k(-2)? True Let k = -13 + 13. Is 4 a factor of k - -21 - -1*1? False Let d(f) = 69*f + 1. Let t = 44 - 41. Is 13 a factor of d(t)? True Is (3 - 0)/(0 + (-6)/(-176)) a multiple of 33? False Suppose -1835 = -3*g - y, 2446 = 4*g - y + 2*y. Does 12 divide g? False Suppose 3*v = 4*k + 13380, -8*v + 4*k - 4476 = -9*v. Does 93 divide v? True Let z = 44 - -42. Suppose -89*p + 63 = -z*p. Is 11 a factor of p? False Suppose -30 = -2*o + 4. Suppose 0 = -4*q + 3*p + o + 10, -5*q - 2*p = -5. Suppose 0 = q*g - 1 - 14. Does 4 divide g? False Is (-1 - 0)/((-23)/84985) a multiple of 13? False Let b(j) = 2*j + 42. Let f be ((-4)/3)/((-8)/(-12)). Let u be 1 + (-4)/(-4) + f. Does 7 divide b(u)? True Let m = 7 + -6. Let x(h) = h**3 + 2*h**2 - 1. Let w be x(m). Suppose 3 - 97 = -w*f. Is 8 a factor of f? False Let k = 14 - 14. Suppose -3*n + 6 + 9 = k. Suppose 54 + 51 = 2*f + n*i, 4*f + 3*i = 217. Is f a multiple of 13? False Let q(o) = -o**2 - 7*o. Let t(y) be the third derivative of y**6/120 - y**5/15 + y**4/24 - 3*y**2. Let w be t(3). Does 3 divide q(w)? True Let w be 4 + 2/6 + (-863)/(-3). Suppose 6*h - 140 = w. Is 12 a factor of h? True Suppose 40*x - 188272 + 67152 = 0. Is x a multiple of 11? False Let l(f) = -9*f + 14. Suppose -2*w - c = 2*c, 0 = 3*w - 5*c + 38. Let r be l(w). Suppose 0 = -3*k + 16 + r. Is k a multiple of 28? True Let p = 24 - 14.
{ "pile_set_name": "DM Mathematics" }
when c is divided by v? 9 Let r = -57266 - -80240. What is the remainder when r is divided by 25? 24 Suppose 5298 + 2256 = 20*b + 1134. Let m = 23 - -23. What is the remainder when b is divided by m? 45 Suppose 8*i - 2744 = -2*i + 12546. What is the remainder when i is divided by 763? 3 Let m = 4319 - 3964. Calculate the remainder when m is divided by 11. 3 Suppose 70*n + 1192 - 14702 = 0. Calculate the remainder when n is divided by 49. 46 Let y = -12924 - -12935. Let g = 89 + -39. Suppose 4*h = -o + g, -2*o - 3*o + 145 = -h. Calculate the remainder when o is divided by y. 8 Suppose -7*r = 5*n - 366, -31*n + 4*r + 111 = -30*n. What is the remainder when 1325 is divided by n? 80 Suppose 2675 + 1685 = 109*p. Calculate the remainder when 395 is divided by p. 35 Let j(q) be the third derivative of q**6/120 - 13*q**5/60 - q**3/3 - 14*q**2. Let o be j(13). What is the remainder when (35/2)/1 + 1/o is divided by 3? 2 Let r be 9/18 + (-34)/(-4). Suppose r*u + 413 = 16*u. Suppose 157 = 2*z + u. What is the remainder when z is divided by 18? 13 Suppose 4*g - 3*c + 53 = 0, 5 = -c - 0*c. Let f(m) = m**3 + 18*m**2 + 13*m - 29. Calculate the remainder when f(g) is divided by 10. 9 Suppose 21*a = 86*a + 45*a - 17930. What is the remainder when a is divided by 21? 16 Let s be 14/49 - (-1896)/(-21). Let m = -84 - s. Calculate the remainder when 29 is divided by m. 5 Let q be ((3 + -2)*-1)/(5/110). What is the remainder when ((-2052)/24)/(-19)*q/(-3) is divided by 1*8 - (0 + 1)? 5 Let y = 35 - -9. What is the remainder when ((-11616)/1008 + 18/21)/((-4)/18) is divided by y? 4 Let o(c) = -6*c**3 + 2*c**2 - 5*c - 7. Let g be o(-1). Suppose 5*w = 3*v + g*w - 45, -2*w = 2*v - 30. Calculate the remainder when 53 is divided by v. 8 Suppose 13*a - 2*a - 176 = 0. Suppose -a*d = 22*d - 8626. What is the remainder when d is divided by 38? 37 Suppose 486*t = 517*t - 2294. Let x = 76 + -131. Let c = t + x. Calculate the remainder when c is divided by 7. 5 Let z = -367 + 372. Suppose -4*m + 626 = -z*y, -6*m - 3*y + 324 = -4*m. Calculate the remainder when m is divided by 76. 7 Suppose -11*v = -61 - 93. What is the remainder when v is divided by 14? 0 Let l(k) = -17*k - 105. Calculate the remainder when l(-26) is divided by 140. 57 Let r be ((-1)/((-3)/(-39)))/(4/76). Let k = r - -473. Calculate the remainder when k is divided by 71. 13 Let m(x) = 2*x**2 + 17*x + 1. Let g(h) = 2*h**3 + 2*h**2 - 4*h + 3. Let o be g(1). Let j = -7 - o. Calculate the remainder when m(j) is divided by 17. 14 Suppose 26*y - 27598 = 196. What is the remainder when y is divided by 107? 106 Suppose -s + 43*i - 44*i + 497 = 0, -2*s - 3*i + 1000 = 0. Calculate the remainder when s is divided by 230. 31 Let b(c) = c**2 + 7*c - 159. Let h(n) = 5*n - 9. Let t be h(-4). Let u = t + 52. Calculate the remainder when u is divided by b(-17). 1 Suppose 5*y - 1383 = 4*t, -22*y = -19*y - 3*t - 834. What is the remainder when 690 is divided by y? 148 Let z = 91 + 36. Suppose 0 = -6*d + 56*d + 1400 - 2700. Calculate the remainder when z is divided by d. 23 Let h(i) = 9*i + 74. Let f be h(-17). Let b = 96 - f. What is the remainder when b is divided by 32? 15 Let s(u) = -u**3 + 37*u**2 - 35*u - 11. Let x be s(36). Suppose -5*h = 3*f + x - 1754, -2861 = -5*f + 2*h. What is the remainder when f is divided by 82? 81 What is the remainder when (-7 + 6)/(-5*(-1)/(-34355)) + -8 is divided by 16? 15 Let o be (9/(-4))/((-7)/56). Suppose o = -4*b + 102. What is the remainder when -3*(3/(-5))/((-7)/(-315)) is divided by b? 18 Let c = 736 - 630. What is the remainder when c is divided by 12? 10 Suppose 0 = 3*x + x + 5*h - 81, 3*x = 5*h + 52. Suppose 14*g = 2*z + x*g - 1671, -3*z + 3*g = -2517. Calculate the remainder when z is divided by 40. 38 Suppose -7*m = -23*m - 24*m + 2360. Calculate the remainder when 166 is divided by m. 48 Let f(w) = 18*w**2 + 518*w - 101. Calculate the remainder when 501 is divided by f(-29). 6 Let x be ((-2)/(-1))/(10/1565). Let o = x + 155. Calculate the remainder when o is divided by 59. 55 Suppose 508*y + 78 = 3*k + 505*y, k - 28 = 3*y. What is the remainder when 304 is divided by k? 4 Suppose 23*n - 1291 = 1262. What is the remainder when 259 is divided by n? 37 Suppose -4*m - z = -1052, -m - 526 = -3*m + 2*z. Suppose 0*n - m = 4*n + 5*g, -5*g - 62 = n. Let o = 11 - n. Calculate the remainder when o is divided by 16. 14 Let d(t) = 2111*t + 4305. What is the remainder when 21992 is divided by d(-2)? 80 Let d(o) = 2*o**2 - 4*o - 127. Calculate the remainder when 397 is divided by d(12). 58 Suppose -40 = 19*x - 27*x. Suppose 5*j + 83 = 3*f, -2*j - 39 = -x*f + 93. Calculate the remainder when 31 is divided by f. 5 Let w be ((-3)/(-6))/((-26)/(-13520)). Let a = -208 + w. What is the remainder when 157 is divided by a? 1 Suppose 3*k + 2*o = 459, 346 + 131 = 3*k - 4*o. What is the remainder when k is divided by 45? 20 Suppose 0 = 2*y - 2*l - 292, 126 = -178*y + 179*y + 4*l. Calculate the remainder when y is divided by 18. 16 Let v = 61 - 52. Suppose 4*l + 16 = 0, 4*l - v*l = -d + 34. Calculate the remainder when 54 is divided by d. 12 Let g = 764 - 473. Suppose k = 3*c + 2*k - 202, 4*c - 3*k = g. What is the remainder when c is divided by 18? 15 Let g(s) = -19 - 18 - 13 - 5*s + 37. Let c = -9 + 3. What is the remainder when 32 is divided by g(c)? 15 Let g(l) = -9*l + 13. Let y be g(-8). Let b = y - 75. Calculate the remainder when 23 - (-2 + 3)*-1 is divided by b. 4 What is the remainder when 1325 is divided by 637 + 19 + (-12 - 0)? 37 Let m = -13908 - -14812. Calculate the remainder when m is divided by 5. 4 Let a be 7/1*(-48)/14 + -4. Calculate the remainder when 156 is divided by ((-7)/a)/(2/424). 50 Calculate the remainder when ((-3)/2)/(-9 + (-11)/(7590/(-6209))) is divided by 44. 23 Suppose 2*s - 352 = -400*g + 398*g, 10*g + 5*s - 1775 = 0. Calculate the remainder when g is divided by ((-3)/2)/(1/(-12)). 17 Suppose 10 = -0*s + 3*s - 5*d, 5*s + 2*d + 4 = 0. Suppose 15*z - 11*z - 48 = s. What is the remainder when 4/12 - (1 + (-1000)/6) is divided by z? 10 Let z(k) = -k**3 + 13*k**2 - 15*k - 6. What is the remainder when 343 is divided by z(2)? 7 Suppose 20*b + 2*b = 110. Suppose -1364 = -b*m - 5*x + 2*x, 4*x + 1378 = 5*m. Calculate the remainder when m is divided by 70. 64 Let u be 121/22 + 1 + (-1)/2. Suppose -5*r + 16 = u. Suppose l = 5*i + 6, 7*l - r*l - 5*i - 30 = 0. What is the remainder when l is divided by 2? 0 Let o(s) = -2*s**3 + 72*s**2 - s + 54. Calculate the remainder when (-3 + (-585)/(-36))/(1/4) is divided by o(36). 17 Let l(x) = -38*x + 2573. Calculate the remainder when l(66) is divided by 50. 15 Let h be (9/6)/((-2)/12). Let j be (3 - 2)/(-2)*(-1 + h). Suppose -j*m + 109 = 19. What is the remainder when 35 is divided by m? 17 Let x = -1063 - -1069. Let z(q) = q**2 - 4*q + 166. Calculate the remainder when z(0) is divided by x. 4 Let z(t) = -2*t**2 - 24*t - 18. Let d be z(-11). Suppose -5*v = d*w - 124, 4*w - w - 93 = -v. What is the remainder when w is divided by 7? 3 Let j(w) = w**2 + 70*w - 2655. Calculate the remainder when j(44) is divided by 148. 141 Let v(s) = 2*s**2 + 3*s - 5. Suppose -7202 = -18*u - 8*u. Let n = 286 - u. Calculate the remainder when v(-4) is divided by n. 6 What is the remainder when 903 is divided by (-716)/8*420/(-42)? 8 Let t(o) = 108*o - 1932. Calculate the remainder when 207 is divided by t(18). 3 Suppose -3*w - 135 = -5*i, 209*w = i + 205*w - 44. Calculate the remainder when 376 is divided by i. 16 Suppose t - 160 = 2*y + 10, 349 = 2*t - y. What is the remainder when t is divided by 80? 16 Let q = 189 - 135. What is the remainder when 2 - -112 - (55 - 45) is divided by q? 50 Suppose -104*h - 8857 - 3451 + 101124 = 0. Calculate the remainder when h is divided by 282. 8 Let h = -213 + 215. Suppose d + 6*y = 2*y + 46, -184 = -4*d - h*y. Calculate the remainder when 87 is divided by d. 41 What is the remainder when 3/8*20/(-30) + 4119/12 is divided by 62? 33 Suppose 100*m - 931 - 3524 = -355. Calculate the remainder when 683 is divided by m. 27 Suppose -18*l + 13*l + h + 168 = 0, h = -3*l + 88. What is the remainder when 4499 is divided by l? 19 Suppose -2535 = -5*u - 4*q, -41 = u - 2*q - 548. Let l = 996 + -979. Calculate the remainder when u is
{ "pile_set_name": "DM Mathematics" }
. What is the fifth smallest value in 0.2, 29, 4, -1, g? 29 Let p(y) = -2*y**3 - 21*y**2 + 13*y + 27. Let z be p(-11). Let v = 8.6 - 7.63. Which is the third smallest value? (a) z (b) v (c) 2 a Let l be (24/10)/((-3)/(-10)). Let u be ((-2)/4)/((-6)/l). Let r = 10064.4 - 10065. Which is the third biggest value? (a) 3/4 (b) u (c) r (d) -1/7 d Let h be 11/(-11) - 17/1. What is the fourth smallest value in 0.1, -0.4, h, -5, -3/8? -3/8 Let j be (-23)/((-1*(-9)/(-18))/((-5)/2)). Which is the second smallest value? (a) 2 (b) j (c) -1/2 c Let c = -1006/259 - -112/37. What is the second smallest value in c, 4/7, -1/4? -1/4 Let l(r) = -2*r**2 - 2*r + 5. Let w be l(0). Let s = -0.1 - 1. Let t = s - 3.9. Which is the smallest value? (a) w (b) 0.1 (c) t c Let t = -18319 - -18323. What is the second smallest value in 0.4, -16, 0.3, t? 0.3 Let g be (-6)/(-4) + (-494)/(-52) - 11. Which is the third smallest value? (a) 0.4 (b) 3 (c) -2/181 (d) 2 (e) g a Let s = 15104 + -60417/4. What is the third biggest value in -2/5, s, -2/85? -2/5 Let q = -11 + 12. Let i(s) = -36*s - q + 19*s + 18*s. Let y be i(-2). Which is the second biggest value? (a) -0.2 (b) y (c) -3/7 (d) -0.4 d Let v = -8 - -6. Let k = 0.125 - -0.605. Let b = 1.73 - k. What is the fourth biggest value in 2, b, -3/4, v? v Let x = -10658 + 10661. Which is the second biggest value? (a) x (b) -2/135 (c) 3.4 a Let y = -388.56 - -386.56. What is the third biggest value in 1.34, y, 0.08, 4, 2/13? 2/13 Let s = 36.2 - 36. Let m = -500/7 + 1507/21. What is the smallest value in -4, m, s, 2/5? -4 Let q = -1 + 6. Let v = -1.615 - -0.011. Let g = -0.604 - v. Which is the biggest value? (a) g (b) q (c) 0.01 (d) -4 b Let k = 2/61 + -69/244. Let x = 4.92497 + 0.07503. What is the second smallest value in k, -1, x? k Suppose d + 3*d + 2*c - 12 = 0, 0 = 3*d + 4*c + 1. Suppose 0 = -7*a - d*a - 12. Let g = -0.9 - -0.4. What is the second biggest value in 0.02, g, a? g Let u be (-8)/(-22)*(-3)/(-6). Let r = 0.106 + -0.106. Let o = -4.27 - 1.73. What is the third biggest value in o, r, u? o Let g be 1/((-37)/((-2664)/(-252))). Let r = 6 - 5.1. Let x = r - 0.5. What is the biggest value in g, 0.2, x? x Let d = -2251.1 + 2251. Let x be 45/21 + (0 - 1). Which is the second biggest value? (a) x (b) -1 (c) d c Suppose 0 = -6*z + 3*z - 4*a + 21, z + 2*a = 9. Let i be ((-16)/(-5) + -2)*(-10)/3. What is the second biggest value in i, z, -0.2? -0.2 Let v = 0.454 + 35.146. Let g = v - 35.5. What is the third biggest value in -3, 9/5, -0.5, g? -0.5 Let x = -0.0484 + 0.3484. Let j = -69 - -71. What is the biggest value in 0.2, x, j, 1/3? j Suppose 15*h + 1721 - 2591 = 0. What is the third smallest value in 3, -0.2, -9, h, -4/5? -0.2 Suppose 0 = 67*v - 25 - 80 - 96. Suppose 4*t - 19 = 29. Let x be ((-222)/t)/(2/(-4)). What is the biggest value in x, v, -1? x Let w = -1 + 1.3. Let h = -102.87 - -102.57. What is the fourth smallest value in 5, h, w, 0? 5 Let g be (3*12/(-135))/(((-2178)/(-165))/11). Let f be 37/35 + (1 - 2). Which is the third biggest value? (a) -2/5 (b) f (c) g a Let q = 71.04 - 70.54. Which is the second smallest value? (a) -91 (b) q (c) 1 b Suppose 81*t + 44*t - 240 = 5*t. Which is the second biggest value? (a) -571 (b) -0.3 (c) 0.3 (d) t c Suppose 2*q - 5*q = -5*u - 2, 0 = 2*u - q. Suppose 0 = 7*k - 24 + 17. Which is the biggest value? (a) u (b) k (c) -4/7 a Let v be 6/100*(-11 + 95) + -5. What is the second biggest value in 0.5, 31, v? 0.5 Let z = 12.2 - 65.2. Let c = z - -22. Let d = c + 31.1. What is the third smallest value in d, -4, 1? 1 Let i be 8*(-3 - 72/(-32)) - 34/(-6). What is the smallest value in 3817, 1/5, i? i Suppose -5*a + g - 184 - 33 = 0, 129 = -3*a + g. Let v be 5*(a/(-10) + -5). What is the smallest value in -1, -2, v, 34? v Suppose 52*y - 3*v = 47*y - 2, 5*y - 2*v = 2. Which is the biggest value? (a) -16 (b) -2/7 (c) 0.3 (d) 3 (e) y d Let s = 0.7048 - 1.0048. What is the biggest value in s, 1.4, 1, -9/4? 1.4 Let r = -0.1 + 0.2. Let a = 192 - 557. Let j = 364.6 + a. What is the third biggest value in 0, j, r? j Let o = -411 - -443.6. Let k = -32.1 + o. What is the smallest value in -3, k, -1/2? -3 Let v = 2.8102 - 7.8102. What is the third smallest value in v, 19, -75, -0.2? -0.2 Let v = 10.2 + -2.4. Let b = 8 - v. Let f = 4264.6 + -4265. What is the second biggest value in f, 1, 0.35, b? 0.35 Suppose -1 = -n, -16*k + 14*k - 3*n + 69 = 0. Suppose -k*j + 62 - 62 = 0. Which is the biggest value? (a) 202 (b) 2 (c) j (d) -0.2 a Let u = -9621.9 - -9622. What is the third biggest value in -6, -161, u, 0, 1/7? 0 Let g(y) = 43*y**3 - 2*y**2 + 1. Let s be g(1). Let b be 20/70 - (152/s + -3). What is the second biggest value in 0, 4/3, -3, b? 0 Let h = 23 - 19.7. Let s = 0.3 - h. Suppose -8671 + 8723 = -13*y. What is the fourth smallest value in 4/3, 8, s, y? 8 Let o = 356 + -127. Let y = -1143/5 + o. Which is the third smallest value? (a) 1 (b) 11 (c) y (d) 0.1 a Let u(j) = 51*j + 255. Let q be (-14)/6 - (-24)/(-9). Let y be u(q). What is the second smallest value in -8/5, 0.14, y? y Let z = -23/120 - -1/15. Suppose -2 = 5*i - 17. Suppose 55*h - 52*h = i. Which is the third smallest value? (a) 3 (b) h (c) z (d) -0.2 b Let h = 3281 + -3281.2. Which is the second biggest value? (a) 0.4 (b) -46 (c) h c Let m(l) = l**3 - 9*l**2 - 23*l + 229. Let h be m(6). Which is the biggest value? (a) 4 (b) 9 (c) h b Let x = -290.32 + 285. Let y = -0.38 - -0.7. Let v = x + y. What is the third biggest value in -2, v, -1/4? v Let y = 1135 + -699. Let d = 360.9 - y. Let l = -75 - d. What is the smallest value in l, 0.4, -2/3, -4? -4 Let z = -6542 - -6364. What is the second biggest value in 27, 0.3, z? 0.3 Let u = -128.91 + 128.61. Let t = 0.12 - 1.52. Let c = t - -7.4. What is the biggest value in c, 0, u? c Let s = 13237 + -13240. Which is the smallest value? (a) 259 (b) -1/5 (c) s c Let u be (((-36)/(-7) - 3) + -3)/(1540/(-490)). Which is the smallest value? (a) u (b) -2/167 (c) 3 b Let j = 75 + -95. Let i = -3.1 + -9.9. Let z = -17 - i. Which is the third biggest value? (a) j (b) z (c) -5 a Let c = -0.1885 + 42.1885. What is the smallest value in -2/9, c, -2/3, 5, -0.5? -2/3 Let h = -5249 + 5248. Which is the fifth biggest value? (a) 0.4 (b) -0.2 (c) 17 (d) h (e) 5 d Let u = -1301 - -1306.604. Let r = 0.604 - u. What is the second biggest value in r, -154, -4? r Let l = -1215 - -729. Let v = -5340/11 - l. Which is the fourth biggest value? (a) v (b) 3 (c) 0.2 (d) 0.1 d Let f = -231 - -230.5. Let h = -55 + 276/5. Let r = 0.609 + -0.509. What is the second biggest value in f, 0.3, r, h? h Let n be 13/((-91)/(-42)) - 6. Let s = 1740 + -1739.9. Which is the fourth smallest value? (a) -0.4 (b) s (c) 5 (d) n c Let p = 9.164 + -9.364. Which is the biggest value? (a) p (b) 2/7 (c) -0.35 (d) 10 d Let x be 2/33 + (-2080)/(-528). Which is the biggest value? (a) 5/2 (b) -2/9 (c) 11 (d) 0.16 (e) x c Let z = 74.94 - 74.96. Which is the biggest value? (a) 3/4 (b) 0.02 (c) -5 (d) z (e) 2 e Let d(l) = 2*l**2 + 265*l - 2403. Let o be d(-141). What is the third biggest value in 13, 3, o? o Let w = -236.64 - -236.479. Which is the third smallest value? (a) 0.3 (b) 0.04 (c) w a Let x = -11 + 13. Let h = -6.44 + 6. Let d = h + 0.45. What is the third biggest value in d, x, 1/3? d Let p be (-6)/(-10) + (8464/70)/(-4). Let h = -146/5 - p. Which is the second smallest value? (a) h (b) -3 (c) 0.4 c Let l = 1.461 - 6.461. Which is the smallest value? (a) -3/2 (b) 87 (c) l c Let r be ((-7)/(-21))/((-34)/70 - 14/(-49)). Which is the biggest value? (a) r (b) -2/47 (c) 2/11 (d) -1/2 c Let x = -9 + 25. Let c be ((-60)/x + 2)*-4. Suppose 4*t + 4 + 6 = q, 0 = -t + q - 1. What is the second smallest value in t, c, 0.4? 0.4 Suppose 3*y + 0*y = 0. Let a = -0.094 - -179.094. Let x = -178.9 + a. What is the fourth smallest value in 2, -3, y, x? 2 Let y be 21/(-294) + ((-2)/12 - 1840/(-672)). Let v be (-3)/(-2) + (-5)/10. What is the smallest value in y, v, -0.4? -0.4 Let g = -12.4 + -215.6. Let u = g - -225. What is the third biggest value in 1/16, 4, 0.3, u? 1/16 Let q = -7599 + 7599.6. What is the second biggest value in -0.15, 4, q? q
{ "pile_set_name": "DM Mathematics" }
9*c + 5. Let k(x) = -6*m(x) - 5*u(x). Find the second derivative of k(p) wrt p. 18*p Let j(v) be the second derivative of v**7/420 - v**5/30 - v**3/2 + 3*v. Let z(p) be the second derivative of j(p). What is the second derivative of z(m) wrt m? 12*m Suppose 16 = 5*k + 3*s - 3, 5*k - 4*s + 2 = 0. Find the second derivative of -17*b + 7*b - k*b**3 + 7*b - 2*b wrt b. -12*b Let k be 134/26 + (-2)/13. Let s(w) be the second derivative of -w + 1/20*w**k + 0 + 1/6*w**4 + 0*w**3 + 0*w**2. Find the third derivative of s(o) wrt o. 6 Let z(w) = -w**2 + 5*w - 9. Let r(l) = -4*l + 8. Let s be 10/(-35) - 78/21. Let d(a) = s*z(a) - 5*r(a). What is the derivative of d(j) wrt j? 8*j Let z(r) = 2*r**2 - 2*r + 2. Let c be z(2). Suppose -n = -c*n + 5*h + 30, 3*n = 5*h + 20. What is the second derivative of -2*q - q**n - 2*q + q wrt q? -20*q**3 Let o(p) be the first derivative of -p**8/168 + p**4/6 - p**2/2 + 7. Let y(t) be the second derivative of o(t). Find the second derivative of y(x) wrt x. -40*x**3 Find the second derivative of -10*f - f + 6 - 6 + 14*f**3 wrt f. 84*f Let d(w) be the third derivative of 0*w**4 - 1/24*w**6 + 0*w**5 + 1/6*w**3 + 0 + 0*w - 5*w**2. Find the first derivative of d(o) wrt o. -15*o**2 Let a be 32/14 - (-4)/(-14). Let f(n) = n**2 - 4*n - 4. Let w be f(5). Find the first derivative of 2*r**3 - w + a + 1 wrt r. 6*r**2 Let y(c) be the second derivative of -31*c**6/30 + 19*c**2/2 + 18*c. Differentiate y(a) with respect to a. -124*a**3 Let i = -23 + 25. Find the third derivative of -2*z**4 - 127*z**i + 122*z**2 - 3*z**4 + 6*z**4 wrt z. 24*z Differentiate -23*w**4 + w - 29 + 25 - w with respect to w. -92*w**3 Suppose -2*o = 5*b - 4, 8 + 9 = b - 5*o. Let a(v) be the third derivative of 1/24*v**4 + 0 + 1/3*v**3 + 0*v - 3*v**b. Differentiate a(x) with respect to x. 1 Let d(w) be the third derivative of w**6/180 + w**4/8 + w**3/6 - 3*w**2. Let a(r) be the first derivative of d(r). Find the first derivative of a(f) wrt f. 4*f Let u = -4 + 6. What is the second derivative of 4*k**2 - 4*k**u - k**4 + k wrt k? -12*k**2 Let f(m) = -m**2 - m - 2. Let j(r) = -2*r**2 - r - 5. Let i = 1 + 4. Let k(v) = i*f(v) - 2*j(v). What is the second derivative of k(l) wrt l? -2 Let w = -4 + 10. What is the second derivative of -2*x**5 - 6 - x + w wrt x? -40*x**3 Let x(s) = 2 + s**2 - 8*s + 6*s + s**2. Let w(z) = -z**4 - 3*z**2 + 5*z - 5. Let b(d) = -2*w(d) - 5*x(d). What is the third derivative of b(r) wrt r? 48*r Let w be (-10)/(-3) + 2/(-6). Find the third derivative of -w*p**2 - 3*p**6 + p**2 + 0*p**6 wrt p. -360*p**3 Let z be (4/(-10))/((-6)/30). What is the second derivative of d + 7*d**z - 3*d - 3*d + 3*d wrt d? 14 Let t(z) be the third derivative of -z**6/180 - z**4/12 + z**3/2 + 2*z**2. Let x(i) be the first derivative of t(i). Differentiate x(m) wrt m. -4*m Let a = 12 + -10. What is the second derivative of -114*j**a + 3*j - 4*j**4 + 114*j**2 wrt j? -48*j**2 Suppose 5*z = -2*w + 5*w + 14, -5*w = 2*z - 18. Let g = 3 + z. Find the first derivative of -7*d - 1 + g*d + 2*d**3 wrt d. 6*d**2 Suppose 0 = -12*o + 10*o. Let m(f) be the first derivative of -3 + 0*f**3 + 0*f**2 - 2*f + o*f**4 - 1/5*f**5. Differentiate m(p) with respect to p. -4*p**3 Differentiate 5*v**4 - 10 + 43 + v**4 with respect to v. 24*v**3 Let h(z) be the first derivative of -3*z**4/4 - 5*z - 9. Differentiate h(w) with respect to w. -9*w**2 Suppose s - 6 - 7 = -3*k, -10 = -s - 2*k. Find the third derivative of -s*j**2 + 247 - 247 - 3*j**5 wrt j. -180*j**2 Let s(l) = 18*l**3 + 6*l**2 - 20*l + 6. Let u(c) = -18*c**3 - 5*c**2 + 20*c - 5. Let z(b) = 5*s(b) + 6*u(b). What is the second derivative of z(v) wrt v? -108*v Let w(p) = p**3 - 6*p**2 + 4*p + 7. Let b be w(5). Find the third derivative of -u**6 - 2*u**2 + b*u**6 + 0*u**3 + 0*u**3 wrt u. 120*u**3 Let i(b) be the third derivative of 13*b**8/336 + b**4 - 27*b**2. What is the second derivative of i(d) wrt d? 260*d**3 Find the third derivative of -9*i + 11*i**2 + 12*i**4 + 0*i**2 + 9*i wrt i. 288*i Let i = -7 + 7. Let u(k) = -k**3 - k + 6. Let q be u(i). Find the third derivative of 2*y**q + 3*y**6 - 3*y**6 - 3*y**6 + 3*y**2 wrt y. -120*y**3 Let i(n) be the third derivative of -11*n**9/504 + 3*n**5/20 + 7*n**2. Find the third derivative of i(x) wrt x. -1320*x**3 Let j(s) = -s**3 + s - 1. Let f(o) = 8*o**3 - 10*o - 1. Let d(m) = -f(m) + j(m). What is the second derivative of d(q) wrt q? -54*q Let o(z) = 3*z**4 - 6*z**3 - 6*z**2 - 6*z - 12. Let k(l) = l**3 + l**2 + l + 1. Let d(p) = -6*k(p) - o(p). Differentiate d(b) wrt b. -12*b**3 Let m be 12/12 - (-1 - -1). What is the derivative of m + z**2 - 5*z**2 - z**2 + 2 wrt z? -10*z Let x(u) = -62*u**3 + 7*u**2 + 37*u - 7. Let z(k) = 41*k**3 - 5*k**2 - 25*k + 5. Let a(b) = 5*x(b) + 7*z(b). What is the second derivative of a(c) wrt c? -138*c Suppose 4*y + 2*k - 14 = -0, 4*y - 2 = 2*k. Let f = 0 + y. What is the second derivative of -2*c**4 - 5*c - 2*c**4 + f*c + 2*c wrt c? -48*c**2 Let j(s) = s**2 - 3*s - 2. Let q be j(4). What is the second derivative of 2*h**2 - 15*h - 2*h**4 - 2*h**q + 18*h wrt h? -24*h**2 Let p(n) = -n**3 - n**2 + n - 1. Let o(y) = -37*y**3 + 33*y + 2. Let i(b) = -o(b) - 2*p(b). What is the second derivative of i(q) wrt q? 234*q + 4 Suppose -d = -5*d + 8. Suppose -h + 1 = -d. Find the second derivative of -4*s**2 + 6 + h*s - 6 wrt s. -8 Differentiate -156*o + 156*o + 8*o**2 - 3 with respect to o. 16*o What is the second derivative of -35*j + 42*j**2 - 70 + 70 wrt j? 84 Suppose 3 = v - 1. Find the third derivative of 0*h**5 - 3*h**2 - 2*h**5 + v*h**2 - 4*h**5 wrt h. -360*h**2 Suppose 5 = 3*n + 2*a - 3, 2*n = a + 3. Differentiate -3*c**2 + 3 - n - 2 wrt c. -6*c Let b(n) = 2*n + 4. Let r(g) = g. Let o(l) = -b(l) - 5*r(l). What is the derivative of o(i) wrt i? -7 Let y(f) be the first derivative of f**6/10 + f**3/2 - f + 2. Let c(p) be the first derivative of y(p). What is the second derivative of c(w) wrt w? 36*w**2 Suppose 2*z - 5*j = -3*z + 110, -2*z - 5*j = -79. Let o be ((-6)/9)/((-6)/z). Differentiate 6 + 3*q**o - 7 - 2 wrt q. 9*q**2 Let r(w) be the third derivative of w**7/168 + w**6/90 - w**3/3 - 7*w**2. Let h(p) be the first derivative of r(p). Find the third derivative of h(u) wrt u. 30 Let s = 98 + -52. Suppose -4*q + 2*i = -26, -2*i = 2*q + 2*q - s. What is the second derivative of 7*g**3 - q*g**3 + g**2 - 2*g - g**2 wrt g? -12*g Let u(p) = -9*p**4 + 5*p**3 + 5*p**2 + 5*p - 2. Let g(z) = z**4 - z**3 - z**2 - z. Let a = 1 - 0. Let f(r) = a*u(r) + 5*g(r). Differentiate f(k) wrt k. -16*k**3 Let y(v) = 7*v**5 - 27*v**2 - 5*v + 5. Let z(c) = 11*c**5 - 41*c**2 - 8*c + 8. Let t(p) = -8*y(p) + 5*z(p). Find the third derivative of t(w) wrt w. -60*w**2 What is the third derivative of 119*l**5 - 112*l**5 + 5*l**2 + 4*l**2 wrt l? 420*l**2 Let a(y) be the third derivative of -11*y**5/30 + 13*y**4/24 - 27*y**2. Find the second derivative of a(p) wrt p. -44 Differentiate 2*t**3 - 9 + 35 + 4*t**3 wrt t. 18*t**2 Let j(k) = 0*k + 4*k**2 + 3*k - 2*k**2 - 2. Let a be j(-3). Find the third derivative of -a - b**3 + 7 + 2*b**2 wrt b. -6 Find the second derivative of 44*d - 39*d - 4*d**2 + 13*d**2 wrt d. 18 Let j(u) = -8*u**2 + 9*u - 7. Let n(x) = 7*x**2 - 8*x + 6. Let h(o) = -6*j(o) - 7*n(o). Find the second derivative of h(l) wrt l. -2 Let q(f) = 125*f**3 - 7*f**2 + 9*f + 13. Let j(w) = 63*w**3 - 4*w**2 + 4*w + 7. Let b(r) = -7*j(r) + 4*q(r). Find the second derivative of b(i) wrt i. 354*i Let y(j) = -6*j + 2. Let c be y(-6). What is the third derivative of 36*w**4 - 4*w**2 - c*w**4 + 0*w**2 wrt w? -48*w Let f(s) be the second derivative of 1/2*s**4 + 0*s**3 - 3*s**2 - s + 0. Differentiate f(n) wrt n. 12*n Let w(f) be the second derivative of 0 + 2*f - f**2 + 1/6*f**3. What is the derivative of w(n) wrt n? 1 Let y(p) = -p**3 + 14*p**2 - 13*p + 1. Let a be y(13). Differentiate 0*k**3 - 3 - 2*k**3 + a + 4 wrt k. -6*k**2 Let q be (-2 + 2 + -1)*16. Let w = -11 - q. What is the first derivative of 2 - 6 - 3*r**2 + w wrt r? -6*r Let x(n) be the second derivative of 5*n**8/56 - 3*n**4/4 - 3*n. Find the third derivative of x(y) wrt y. 600*y**3 Let p = 16 + -7. Suppose 5*x - p = 1. What is the third derivative of -3*j**2 + x*j**2 + j**5 + j**5 wrt j? 120*j**2 Suppose -4*b = 4*q - 2*b - 10, 0 = 5*q -
{ "pile_set_name": "DM Mathematics" }
e 4, what is -313 - -33000? 32021 In base 5, what is -20 - -214010? 213440 In base 2, what is 1001 + 10110101001011011? 10110101001100100 In base 14, what is 1 - 26d0? -26cd In base 6, what is 42 + 3534? 4020 In base 2, what is -101100011110 + -11001? -101100110111 In base 5, what is -20 - 23010422? -23010442 In base 6, what is 10034545 - -2? 10034551 In base 11, what is -655 - 133? -788 In base 11, what is -2a4a6 + 2? -2a4a4 In base 11, what is 3916 + 14? 392a In base 10, what is -245 - 1805? -2050 In base 13, what is 25 - -3c9c4? 3ca19 In base 6, what is -5135 - 2435? -12014 In base 14, what is 2 - -318d2? 318d4 In base 8, what is 424677 - 1? 424676 In base 5, what is -2241440 - 4? -2241444 In base 3, what is 100 - -122221022? 122221122 In base 13, what is -2c878 + -5? -2c880 In base 6, what is 11 + 331440? 331451 In base 8, what is 121 + 4243? 4364 In base 7, what is -2 + 5205? 5203 In base 15, what is -4 - 168dc? -168e1 In base 4, what is -31 - 2003? -2100 In base 8, what is 4 - -1623067? 1623073 In base 14, what is -25b - 89? -306 In base 5, what is 11311 - -12103? 23414 In base 4, what is 220133 - -10? 220203 In base 15, what is -43 - b28? -b6b In base 12, what is -12258 + 8? -12250 In base 11, what is 97a99 - -6? 97aa4 In base 9, what is 28100 - 25? 28064 In base 13, what is 56 + 1658? 16b1 In base 9, what is -145637 - -2? -145635 In base 6, what is -3004043 - -3? -3004040 In base 15, what is -4be7 - -5? -4be2 In base 11, what is -3 + -56a944? -56a947 In base 6, what is -105 + 32? -33 In base 3, what is -12110200 - 20? -12110220 In base 7, what is -43 - -3013? 2640 In base 6, what is -3 + 155005? 155002 In base 13, what is -3b727 + -5? -3b72c In base 4, what is -30120 + -20222? -111002 In base 7, what is -11 - -463041? 463030 In base 9, what is -5 + 235025? 235020 In base 9, what is -374254 - 4? -374258 In base 5, what is -2100 - -11444? 4344 In base 7, what is -5 + -36514? -36522 In base 5, what is 2 + -1132434? -1132432 In base 12, what is 1490 - -170? 1640 In base 8, what is -15451 + 4? -15445 In base 5, what is -1100424 + -10? -1100434 In base 10, what is 426373 - -3? 426376 In base 14, what is 4 - -2498? 249c In base 4, what is -103 - 113101? -113210 In base 14, what is 13b60 - 12? 13b4c In base 15, what is 1c488 - 5? 1c483 In base 8, what is -7 + 55137? 55130 In base 13, what is -8 - 5a220? -5a228 In base 15, what is 11d9ea - -2? 11d9ec In base 9, what is 18 + -738? -720 In base 7, what is 2 + -3436? -3434 In base 4, what is -130 - 21210? -22000 In base 13, what is 7985 - -2? 7987 In base 11, what is -351035 + -5? -35103a In base 8, what is -5 + 2131035? 2131030 In base 15, what is -2555 - 1e0? -2745 In base 15, what is 45 + -1e0? -19a In base 4, what is -121 - -1003003? 1002222 In base 5, what is -24 + -41442? -42021 In base 12, what is 38a64 - 6? 38a5a In base 11, what is 22a + -122? 108 In base 13, what is -685 + b? -677 In base 4, what is 103113 - -3101? 112220 In base 13, what is -33 + -861? -894 In base 2, what is -101 - -10011101010110010? 10011101010101101 In base 6, what is 202 + 30412? 31014 In base 4, what is 3220 + 2130? 12010 In base 14, what is -3 - 48bac? -48bb1 In base 13, what is -61 + 122? 91 In base 2, what is -10100 + 1000100000110? 1000011110010 In base 8, what is -5 - -555241? 555234 In base 3, what is 20110221 - 1211? 20102010 In base 6, what is -3 - -212150? 212143 In base 3, what is 212120 - 11000222? -10011102 In base 16, what is b09bd - -2? b09bf In base 16, what is -44f + 3? -44c In base 8, what is 1420 - -11? 1431 In base 16, what is 1242 + 102? 1344 In base 16, what is -31d3 + -1? -31d4 In base 8, what is 15774775 + 1? 15774776 In base 7, what is -4 + 62042? 62035 In base 15, what is 1 - -1a2e8? 1a2e9 In base 13, what is -1877 - -40? -1837 In base 2, what is -1010001100 + -10001110010? -11011111110 In base 16, what is -1 + -483db? -483dc In base 11, what is 2 + -a68? -a66 In base 14, what is -1 - ac4? -ac5 In base 12, what is -180 - -369? 1a9 In base 2, what is 1110110010001 - -1000? 1110110011001 In base 15, what is -55 - -20? -35 In base 10, what is -5902 - 99? -6001 In base 12, what is 94 + 303? 397 In base 8, what is 3 + 140637? 140642 In base 2, what is -10001001111011000100 + -1? -10001001111011000101 In base 16, what is c11a + 1? c11b In base 5, what is -1014303 - -242? -1014011 In base 2, what is 1000110110011111111 + 1? 1000110110100000000 In base 3, what is -1000001 + 11222? -211002 In base 4, what is -2103113 + 230? -2102223 In base 6, what is -1121115 - 43? -1121202 In base 10, what is -6226 - 13? -6239 In base 3, what is 1 + -12212101100? -12212101022 In base 11, what is -2 - -3411? 340a In base 14, what is 2936c3 + 2? 2936c5 In base 12, what is -1492b + 5? -14926 In base 12, what is 19885 - 5? 19880 In base 12, what is 549038 + 3? 54903b In base 5, what is -3141 - 2012? -10203 In base 7, what is -525546 - 1? -525550 In base 4, what is 2130 + -10033? -1303 In base 11, what is 839 + -2346? -1608 In base 8, what is 0 - 114074? -114074 In base 13, what is 13032c - -4? 130333 In base 3, what is 12 + 1020210102021? 1020210102110 In base 9, what is 132526 + -73? 132443 In base 13, what is -16354b2 + -4? -16354b6 In base 13, what is 23696 + 4? 2369a In base 5, what is 21032 - -1240? 22322 In base 14, what is 3983 + 6? 3989 In base 10, what is 1 + 24756? 24757 In base 10, what is -84 + 2468? 2384 In base 10, what is 14 + -9084? -9070 In base 4, what is 13111102 + -3? 13111033 In base 2, what is 101110 - -111110010? 1000100000 In base 12, what is -b62abb - -1? -b62aba In base 10, what is -4165 + -7? -4172 In base 7, what is 0 + -43661? -43661 In base 8, what is -4230 + -32? -4262 In base 4, what is 11 + 301303210? 301303221 In base 10, what is 0 + 376775? 376775 In base 6, what is -155051 + -2? -155053 In base 8, what is 51236 + 460? 51716 In base 2, what is 11 + -10011010011? -10011010000 In base 4, what is 3120331 + 21? 3121012 In base 16, what is -c - -f5a0? f594 In base 8, what is -7 - 115554? -115563 In base 2, what is 11000011101 - -11101001? 11100000110 In base 14, what is -51d5 - c? -5203 In base 9, what is -20 + -1507? -1527 In base 5, what is 103433 - 143? 103240 In base 8, what is 517 + 50? 567 In base 2, what is -110111010 - 10110000? -1001101010 In base 9, what is 311 - -347? 658 In base 4, what is 11 - 202312332? -202312321 In base 3, what is 10 + 1200201211? 1200201221 In base 9, what is -4682 + 1147? -3534 In base 15, what is 5079 - 89? 4ee0 In base 15, what is 98 - -c? a5 In base 14, what is 3 + -8083? -8080 In base 2, what is -110010111000010 - -1011? -110010110110111 In base 4, what is -12320221013 - 1? -12320221020 In base 10, what is 58 - -114? 172 In base 10, what is 295 - -93? 388 In base 13, what is 16 + 122ab? 122c4 In base 14, what is -157 + -10d7? -1250 In base 8, what is 46 - -11154? 11222 In base 13, what is 87a + -4? 876 In base 11, what is -18242 - 15? -18257 In base 13, what is 1b + -11765? -11747 In base 4, what is -23002 + -202111? -231113 In base 9, what is 5 + 1852? 1857 In base 9, what is 2757 + -22? 2735 In base 9, what is -874 + 1036? 52 In base 3, what is 10021122102 - -200? 10021200002 In base 7, what is 30 + -122465? -122435 In base 4, what is -201 + -3101010? -3101211 In base 14, what is 1 - 642b? -642a In base 15, what is 96c - 28? 944 In base 5, what is -1114 + 20400? 14231 In base 14, what is 2 - 2d86? -2d84 In base 13, what is -9 - 819? -825 In base 16, what is 2cb9 - 8? 2cb1 In base 16, what is -1f37 - -d? -1f2a In base 3, what is -10122 - 12122112? -12210011 In base 13, what is 19 - 19b6c? -19b53 In base 9, what is -1108 - 4? -1113 In base 3, what is -2212 + -112021? -122010 In base 2, what is -100000 + 1000000110110? 1000000010110 In base 3, what is 1120022010 + 202? 1120022212 In base 14, what is -5b58b + 2? -5b589 In base 3, what is -11 - 111120021120? -111120021201 In base 6, what is 3 - -14125302? 14125305 In base 3, what is -2222 - 1102? -11101 In base 2, what is -11000011111100 + -1001? -11000100000101 In base 11, what is -29 + -1893? -1911 In base 8, what is 460 + 170? 650 In base 14, what is 1 + -62? -61 In base 8, what is -443 + -2153? -2616 In base 6, what is 32 + -12502? -12430 In base 9, what is -2065676 + 2? -2065674 In base 2, wh
{ "pile_set_name": "DM Mathematics" }
s j(q) composite? True Suppose -15 = -3*c, 0 = 2*k + 7*c - 2*c - 35. Suppose -2381 = -2*p - k*s, -264 = p - 5*s - 1462. Is p a composite number? False Let d = -14708 + 22317. Is d a composite number? True Is (-4 - -2)*75128/(-16) a prime number? True Suppose 0 = 4*y + 2*n + 24, 0*y - 2*n = -y + 4. Let h = y - -8. Suppose -755 = -m + 4*p, h*p - 2960 = -2*m - 2*m. Is m a prime number? True Let m = -1 - -4. Let f(i) = 36*i**2 + 5*i - 8. Is f(m) a composite number? False Is ((-7)/(-12) + (-15)/180)*524 a prime number? False Let x = 14992 - -3345. Is x a prime number? False Let q = 31 - 21. Let u(g) be the third derivative of g**4/8 + 7*g**3/2 + 194*g**2. Is u(q) a composite number? True Let r = 57 + -61. Is 10 - -347 - 4*(-2)/r a prime number? False Let r = -9 + 11. Suppose 4*b = -3*g - 0 + 10, 2 = r*b. Suppose 4*n - 256 = -2*l, 321 = 5*n + 4*l - g*l. Is n prime? False Suppose -3*r + 4*y = -24, -4*r + 4 = 3*y - 3. Suppose 0 = 5*u + 20, -8*u = -4*s - r*u + 1820. Is s prime? False Let h = -56 - -54. Is 9972/8 - ((-5)/h - 3) composite? True Let i = 4808 + -2451. Is i a composite number? False Suppose -4*l + 12*l - 192 = 0. Let c be 12/l + 2/(-4). Suppose c = -4*y - 8, -b + 2*y + 317 = -3*y. Is b a prime number? True Let b(l) = 10*l**3 + l**2 + 23*l - 75. Is b(4) prime? True Let h(q) = 85*q**2 + 3*q - 5. Is h(-4) composite? True Suppose 165541 = 5*h - 2*k, 139561 = 3*h - 2*k + 40234. Is h a prime number? True Suppose -8 + 20 = 3*c. Suppose -2*u - 4*t = 56 - 430, c*u + 2*t = 736. Is u composite? True Suppose -2*f = -y - 20247, -5*y = -f + 9665 + 463. Is f composite? True Is 11186 - (-2)/4*6 a composite number? True Let d = -105912 + 181859. Is d prime? False Let o be ((-9)/(-6))/((-6)/(-8)). Is (o + 2 + 5*-1)*-673 a prime number? True Let t = 4409 - 1666. Is t a composite number? True Suppose -5*q = 4*u + 69, 14 = -3*q - 4*u - 29. Let b = -15 - q. Let j(o) = -79*o + 3. Is j(b) prime? False Suppose i = -2*i + 63. Suppose 0*r = -3*r. Let l = r + i. Is l a composite number? True Let f(r) = 3922*r**2 + 7*r - 23. Is f(5) a composite number? True Let s(q) = 28*q**3 + 7*q**2 + 16*q + 4. Is s(7) prime? False Let g = -5 - -8. Suppose g*f + 708 = 9*f. Is f a prime number? False Suppose 7 + 2 = -3*n. Is -3 - n - (-1041 - -2) a prime number? True Suppose -1 + 41 = 10*l. Let a(v) = 697*v + 1. Is a(l) a composite number? False Let t(n) = 396*n**2 + 34*n - 11. Is t(-5) prime? True Let i = -408 - -661. Is i a composite number? True Suppose 2*f + 3*f = 0, -f + 3353 = a. Is a composite? True Suppose -4*i - 3*y = -9827, -4919 = -5*i - 4*y + 7364. Is i a prime number? True Let x be 1*(-3 + 2)*-4. Suppose 0 = -x*d - 12. Let o(j) = 39*j**2 + 5*j + 5. Is o(d) a composite number? True Let w(q) = q**3 - 10*q**2 + 10*q - 7. Suppose -s - 14 = -2*r, 2*s - s = r - 5. Let y be w(r). Suppose y*f - 261 = -f. Is f a composite number? True Let m be (5 + -3)*-253 - -3. Let q = m + -80. Let w = q - -912. Is w composite? True Suppose -4*g = -2*b - 25402, 0 = -4*g - 5*b + 31972 - 6535. Is g composite? False Let y = -30996 - -80849. Is y a composite number? False Let g(y) = 3*y**2 - 3*y - 3. Let z be g(2). Suppose z*p = -6, -3*o - 161 = -5*p - 408. Is o composite? False Suppose 4*f - 8 = -4*u, -12*f + 8 = -8*f + u. Suppose -o = -x - 1676, -3*o + 0*x + 5025 = -f*x. Is o a prime number? False Suppose -2*p + 12649 = -3*z - 7095, 0 = 2*p - 2*z - 19742. Is p prime? False Let s(c) = 13 + 296*c**3 + 0*c**2 - 15 - 1705*c**3 + 3*c**2. Let m be s(-1). Suppose -3*v + 3*t = -m, 3*t - 961 = -3*v + 431. Is v a composite number? False Let b be ((-3116)/(-10))/((-42)/(-105)). Suppose -5*r - b = -f, 3116 = f + 3*f - 2*r. Is f prime? False Suppose 17 - 1 = 4*l. Let a be (-412)/(-2) - 5/(-5). Suppose -a = l*t - 7*t. Is t a composite number? True Let u = -2 + -3. Let s(l) = -l**2 - 5*l + 2. Let m be s(u). Suppose -3*f - m*f = -1905. Is f a composite number? True Let m be (1 + 3/15)*40/16. Suppose 0 = -m*j + 47 + 1972. Is j a prime number? True Suppose -7*g + 12*g = -10. Is (-1081)/((8/g)/(-4) - 2) prime? False Let k(p) = -p**3 + 8*p**2 - 4*p + 43. Let j(i) = -2*i**3 + 17*i**2 - 9*i + 87. Let t(z) = -6*j(z) + 13*k(z). Is t(0) composite? False Suppose 0 = -2*l - 52*l + 397926. Is l a prime number? True Suppose -3*l + 2*g = -1711, 6*l + 1714 = 9*l + g. Is l a prime number? True Let d(q) = q**3 - 5*q**2 + 4*q + 7. Let y be d(8). Suppose l - 205 = y. Is 3/(l/212 - 2) prime? True Is (4 - -29600)*(-8)/(-32) prime? False Suppose 0 = 6*k - 10*k + 8. Suppose 2377 + 1593 = k*j. Is j prime? False Let o(k) = -2451*k + 2. Is o(-1) a prime number? False Let g(q) = 1336*q - 18. Let m be g(12). Suppose -4*d - 3866 = 4*c - m, -3*c = -5*d - 9111. Is c prime? True Let h = -337 + -335. Let g = -467 - h. Is g prime? False Let u = 1859 + -1017. Is u composite? True Let m(o) = -o**3 - 10*o**2 - 10. Let c be m(-10). Let r = -15 - c. Let q = 63 + r. Is q composite? True Let d be 1/(-1) + 0 - -13. Suppose -3*o + 5*g = -26, -d = 3*o + o + 5*g. Suppose -3*s = h + s - 405, o*s = h - 393. Is h a prime number? True Is 2/((-12)/(-84461)) + (-1)/(-6) a prime number? False Suppose -12*h = -535082 - 46162. Is h a prime number? True Suppose 6*t + t = 21. Suppose t*p = -4*b + 1231, 3*b + 2*p - 427 = 496. Is b prime? True Suppose -s + 0*s + 3*j + 1051 = 0, 3*s = 2*j + 3167. Suppose 2*f + 2*w = 3*w + 2102, f - 2*w = s. Is f a composite number? False Let v be (6 - 4)*5 + -2. Let x(j) = 6*j**2 - j + 19. Is x(v) composite? True Let r(l) = 54*l**2 - l - 36. Is r(7) prime? False Let f(i) = 1044*i**2 - 2*i - 19. Is f(3) prime? True Suppose 5*g + 0*n + 3*n + 11 = 0, 5*n = -2*g - 12. Is 10*((-364)/(-8) + g) prime? False Is 6004 - (4 + (-15 - -8)) a composite number? False Suppose 340781 + 10825 = 6*j. Is j a prime number? True Let w(n) be the third derivative of 557/6*n**3 - 1/60*n**5 + 9*n**2 + 0 + 0*n - 1/12*n**4. Is w(0) a composite number? False Let k = 2845 + -1956. Is k a composite number? True Let g(b) = 5223*b**2 + 66*b - 137. Is g(2) composite? False Let g(n) = 47*n**2 - 30*n + 41. Is g(6) composite? False Suppose 7630 = -3*t - 5*f, t - 5*t - 10158 = -f. Let p = t + 4603. Is p prime? True Let b = 636 + 702. Let o be (-43807)/(-1065) - 2/15. Suppose 39*j = o*j - b. Is j a composite number? True Let f = -86 + 3445. Is f a composite number? False Let d be ((-5)/(-1))/5 - -381. Suppose 0 = 4*q - d - 94. Is q prime? False Let l(j) = -j + 1. Let x be l(-4). Suppose -4*a + 1684 = -b, -3*a + x*b = 4*b - 1262. Is a prime? False Suppose -16 = -2*s - 3*h, 0*s - s - 14 = -4*h. Let b(q) = 276*q - 1. Is b(s) a prime number? False Let y = -1 + 1. Suppose 0 = -3*f + 6, 71 = 2*h - 3*f - 9. Suppose -5*p + 653 = m + h, -p - 4*m + 141 = y. Is p a composite number? True Let o(n) = -6*n**3 + 8*n**2 + 6*n + 14. Is o(-4) composite? True Let m = -189 + 909. Let y = 349 + m. Is y prime? True Let q(h) = h**2 - 5*h + 6. Let y be q(3). Suppose -5*p - 1380 = 5*a, y = 2*a + 4*p + 81 + 469. Is a*(3 - (3 - -1)) composite? False Let z(m) = 1711*m - 6. Let w(i) = -i + 1. Let x(c) = 3*w(c) + z(c). Is x(2) a composite number? False Let z = 22 + -11. Let c = z + -9. Suppose 5*r - c*r - 93 = 0. Is r a prime number? True Let k(s) = -111*s - 47. Is k(-12) a prime number? False Let g = 21 - 19. Suppose -2*d + 4 + g = 0. Suppose -2*j = -j + 2*u - 123, d*u = 5*j - 550. Is j composite? False Suppose 5*p - 2*p - 6 = 0. Let b = 8 - p. Suppose b*i - 1495 = i. Is i composite? True Let b(t) = 5*t**2 + t - 71. Is b(-10) a composite number? False Let b be 1 + 549 - 0/(-2 + 6). Suppose 2*o - 5356 = b. Is o composite? False Suppose -4*d - k + 45861 = -128811, 4*d - 174688 = 3*k. Is d prime? True Suppose -i - 30 = -6*i. Is (20/i)/((-4)/(-12)) composite? True Suppose 5*k - 3*k - 4 = 0. Let j be k + 3 + -5 + 2. Suppose 4*h + j*b - 191 = 511, -4*h + 693 = 5*b. Is h a composite number? True Is (-7885)/166*(-5468)/10 a prime number? False Suppose -4*z - 125 = z. Let j be (-1236)/(-10) - 10/z. Suppose j = 2*c - 0*c + 5*p, -2*c - 4*p = -126. Is c a prime number? True Let m be (-6)/(-5)*(-1 - 9). Let n = m - -10. Is (1/n)/(5/(-690)) prime? False Suppose -12*x + 240306 + 1770 = 0. Is x a composite number? False Let m = -137 - -119. Is (242272/(-36))/(-8) + 4/m prime? False Let n(c) = -c + 15. Let d be n(13
{ "pile_set_name": "DM Mathematics" }
*(9370/429) Simplify ((f**(-29)*(f*f*f**(-2)*f*f)/f)/(f**(-4/13)/(f*((f*(f/((((f*f**(-1/5)*f)/f)/f)/f)*f)/f*f)/f)/f)))**(8/7) assuming f is positive. f**(-12736/455) Simplify ((z/(z*z/(z**(2/7)*z*z)*z))**(-1)*(z**(-1/3))**18)/((z/z**1)/(z**2*z*z))**19 assuming z is positive. z**(488/7) Simplify ((u*(u*u**(-6)/u*u)/u*u)/(u*u/u**20)*(u/(u**(2/23)/u*u))**26)**(1/53) assuming u is positive. u**(868/1219) Simplify ((p**(-2/5)/p)**37)**(2/33)*(p**(1/2)*p*p/(p**(-3/7)/p*p)*p)**9 assuming p is positive. p**(74423/2310) Simplify ((t/t**(2/3))**(-19)*t*t*(t**(-2/3)/t*t*t*t)/t*t*t**5)/((t/(t/(t*t**(2/5))))**8/(t/(t*t/((t**0/t)/t)*t)*t)**(2/27)) assuming t is positive. t**(-424/45) Simplify (k**(2/5)/k**(-6))**(-9/7)*((k/((k*k/k**6)/k)*k)/k**(1/4))/(k/(k/k**(-5))*k**(-2)) assuming k is positive. k**(773/140) Simplify (((j**(1/10)*j**(2/7))/(j*j**(-5)*j**(-6)))**(-5/12))**(-27) assuming j is positive. j**(6543/56) Simplify ((y*y/y**5*y/y**(-2)*(y/(((y**(-1/10)*y)/y*y)/y*y))/((y**1*y*y)/y))**(1/16))**46 assuming y is positive. y**(-437/80) Simplify (m**(-1/3))**31/(m**(2/11)/m**5)*(m**(-2/3)/m*m**(4/5)*m)**(-3) assuming m is positive. m**(-976/165) Simplify (n/((n/(n/(n**5/n)))/n*n)*n**0)/(n**(2/9)*n**(-4)/n)*(n*n**(-2)*n*n/(n**(1/10)/n*n*n*n))**(-1/51) assuming n is positive. n**(2753/1530) Simplify ((n/(n/(n*n**(2/7)*n)))**34)**13/(((n/(n/(n*n*n**(-5/6))))/(n**(1/6)*n))/(n**(2/9)*n*n*n**3)) assuming n is positive. n**(63977/63) Simplify ((((r/(r**5/r)*r*r)/r)/((r/r**(1/2))/r))/(r*(((r/(r**0*r*r))/r)/r*r)/r)**(-8/13))/(r/r**1*(r**(-1/3)*r)/r*(r**(2/5))**(-45)) assuming r is positive. r**(1217/78) Simplify ((o**12*o)/o*o*o**(-9/7))**8*(o**(-2/13)*o*((o*o**(-2/3))/o)/o)/(o**(-1/4))**(-1/16) assuming o is positive. o**(1622767/17472) Simplify ((o**(-1))**(-8/17)*(o**(-1))**(1/18))/((o/o**(-2/5))**(-9)*(o**(-1)/o)**(-4/9)) assuming o is positive. o**(18553/1530) Simplify (f*f**(-2/29)*f*f*f/(f*f/f**(1/7))*f**(1/12)/(f/(f*f**(-1/5)*f*f*f)))**(-19) assuming f is positive. f**(-1147201/12180) Simplify (((j*j**1*j)/j)**(-48))**(-12)*((j**(-5)*j)/(j**(-5/3)*j))/(j*(j**(2/5)/j*j*j)/j*j*j**0) assuming j is positive. j**(17194/15) Simplify (k**(-9)/(k*k*k*k**(-4)*k)*k/(k/k**(-1/3))*k*k**(-3))/((k/(k/(k**(-2/9)/k)))**11)**(-1/7) assuming k is positive. k**(-835/63) Simplify ((k*(k*k**(1/2)/k)/k)/(k*k**(6/7)))**(10/11)*(k**(-7)/(k*k/(k*k/(k/(k/(k/k**(-1))*k)))))/((k**(-4)*k)/k**(-1)) assuming k is positive. k**(-557/77) Simplify ((w**(2/7))**0)**7*(w**(-1)*w)**(-1/7)*(w/w**0)**(-3/38) assuming w is positive. w**(-3/38) Simplify ((x*x**6)/(x**7*x*x))**(-27)/(x**(-3/2)/x**(1/2)*x*x**(-1)*x*x/x**(-4)) assuming x is positive. x**50 Simplify ((q/((q/(q**(-1/4)/q))/q)*q)/q**(-1))/(q**0)**(-2/45)*(q**(2/3))**35/((q*q**(-7)*q)/q**(4/9)) assuming q is positive. q**(1099/36) Simplify (((a**(5/8)/a)/a*a*a)/(a/(a*a**16))*(a*a*a/(a*a**(-1/3)))**(-38))**(-23) assuming a is positive. a**(39767/24) Simplify ((j*j**(2/19)/j*j)/j**(-2/5))**(-8/5)/((j**(1/2))**(6/13)*j**(2/11)/j**(-7)) assuming j is positive. j**(-667092/67925) Simplify ((s**(-1/2))**(-4/9))**4*((s/(s**0/s))**2)**(-5/9) assuming s is positive. s**(-4/3) Simplify (c**5/(c*c**5))/(c*c*c*c**5*c*c*c*c/(c*c/((c**(-3)*c)/c)))*(c**(1/3)/c)/c*c**(2/5)*(c/c**(3/8))/(c*(c*c**(2/3))/c*c) assuming c is positive. c**(-1357/120) Simplify ((((u*u/(u**(-1/8)*u))/(u/(u**(-5)*u)))**(-11/7))**(-28))**(-3/7) assuming u is positive. u**(1023/14) Simplify (h*h**1)/(h*h**(-4)*h)*(h**(-1))**(5/2)*((h*h**(-2)*h)/h**(-1/4))/(h**1*h*h)**(-30/7) assuming h is positive. h**(409/28) Simplify j*j*j*(j*j*j/(j**(-3/11)*j)*j*j*j)/j*j*j*j/(j/(j*j*j/j**(1/9)*j*j*j)*j)*j**(4/23)*j**(-5/11) assuming j is positive. j**(31607/2277) Simplify ((b**(-5)*b*b**(-4)*b)/(b**3/(b*b/(b*b**(-2/3)*b)*b*b)))/((b**(2/5))**20*b**1/(b/(b**7/b))) assuming b is positive. b**(-64/3) Simplify (((n*n/n**(2/47)*n)/n**(-31))/(n**(-21)*n/n**(1/12)))**(-9) assuming n is positive. n**(-91437/188) Simplify (g**(-7/3)*g*g**(-1/17)*(g/(g*g**(1/5)))**(-3/11))**(22/7) assuming g is positive. g**(-1072/255) Simplify (n**9*n*n*n**4/n*n)/(n/(n/(n/n**(-4)))*n**(-1/8))*(((n/((n**2*n)/n))/n*n*n)/n)**36/(n*n*n**(-1/2))**(15/4) assuming n is positive. n**(-63/2) Simplify (i/i**8)/i**4*(i**0/i)**27*((i**(-2))**(-18))**(-44) assuming i is positive. i**(-1622) Simplify (((o*o/((o/((o/o**(2/17))/o*o))/o)*o)**47)**(1/41))**31 assuming o is positive. o**(96162/697) Simplify (((w**9)**(-2/33))**27)**(-1/4) assuming w is positive. w**(81/22) Simplify (h**(-6)*h*h**(-1/45)*h*(h/(h*h/(h/(h/(h*(h*h**(-2))/h*h*h)))))**(-1/15))**(-8) assuming h is positive. h**(1448/45) Simplify n*n**(4/17)*n*n*n/n**48*n**(-6/25)*n**(-41/5)*n assuming n is positive. n**(-21762/425) Simplify ((z**8*(z*z**(-3/4))/z)/(z/((z/(z*z*z*z/(z/z**(-1))))/z))**(-18/13))/((z*z**(1/4))**10*z**(-9)*z**(-2/7)) assuming z is positive. z**(2981/364) Simplify (((((c/c**(2/13))/c)/c**(-3/7))/(c/c**(2/3)*c**13))**(-38))**(-2/29) assuming c is positive. c**(-270940/7917) Simplify (g/((g*g**(-1))/g*g))**(-2/11)/((g/g**(4/7))/((g*g**4/g*g)/g))*((g*g**1*g)/(g**(-6)/g))/((g/(g/(g**(-3/8)*g)))/(g**(3/5)*g)) assuming g is positive. g**(44243/3080) Simplify ((q*q/q**(-1))**(-12/11)*q**6/(q/(q*q/(q/(q*q**(-2/9))))))/(q*q/q**(-1/6)*q*q*(q**(3/4)/q)/q)**(-38) assuming q is positive. q**(22639/198) Simplify ((h**1)**(-1/11)*h**(4/3)/(h**(-1)*h*h))/((h**2/h)/(h/(h*h/(h/h**2)*h*h*h*h))*(h*h*h**(-1/2))**47) assuming h is positive. h**(-5099/66) Simplify (o**0/(o/o**(-1/2)))**(-13/5)*((o*o**(-1/4)/o)/(o*o*o*o*o**(3/8)*o))/(o/o**0*o**(-4)) assuming o is positive. o**(51/40) Simplify ((y/(y*(y*(((y*y**4)/y)/y)/y)/y*y))**3/(y**(-20)*y*y*y*y**(-5/3)))**45 assuming y is positive. y**435 Simplify (b*b/b**5)/(b/(b/(b/b**(3/2))))*b**(-8)/b**(2/23)*(b*b**(2/5)*b)**(-1/44)/((b/(b**6*b)*b)/(b**(-7)/b*b)) assuming b is positive. b**(-31983/2530) Simplify (h/(h**0/h)*h)**(6/13)*(h*h**4)/h**(-3)*(h**6*h**4)/((h*(h/((h**(2/11)/h*h)/h))/h*h*h)/(h/(h/(h/h**(-4)*h))*h)) assuming h is positive. h**(3227/143) Simplify (((u*u/u**31)/(u*u*u*u/(u*u**(-1/16)*u*u)))**(-48))**(-48) assuming u is positive. u**(-69264) Simplify (d**(-1/9)*d**(3/7))**(1/10)*(d**(-6)/(d*d**(-1/4)*d*d))/(d**(-2/5))**34 assuming d is positive. d**(6151/1260) Simplify (k**(2/3)/k)**(-15/2)/((k/(k/(k*k/(k*k**(2/3)*k))*k))/(k*k/(k**3/k)))*(k**(2/9)/k)**35*k**(1/5)/((k*(k**(2/7)/k)/k)/k*k) assuming k is positive. k**(-13949/630) Simplify (o/(o/(o**2*o))*o**(4/7)/o)/(o/(o/o**0)*o)**44*((o/o**(-4))/(o/o**1))/(((o*o**1)/o)/o)**(-4/13) assuming o is positive. o**(-255/7) Simplify ((t/t**(-3/2))**(-33))**(-30)/((t**0)**48/(t**(2/3))**(-10/11)) assuming t is positive. t**(81655/33) Simplify ((z/(z*z*z**(-2/7)/z))/(z*z/((z/z**(-5))/z))*(z**(1/3)*z)**(-39))/(z/z**(-5)*z/(z*z*z**8/z))**4 assuming z is positive. z**(-285/7) Simplify ((i**(3/22)*i**(-2)*i)/(i*i**(1/5)*(i/(i*i**22))/i))**30 assuming i is positive. i**(6909/11) Simplify ((k**(2/23)/k)**(17/3)*(k**12*k)**(-9))**(-6) assuming k is positive. k**(16860/23) Simplify (((h**(-2)/h*h)/h**(-1/6)*(h**(-1/3)/h)**(-1/21))**26)**(18/11) assuming h is positive. h**(-5798/77) Simplify (g/(g*g/(g**2*g))*g/g**(-2/11))**(3/22)/((g**(-2/3))**(-3/7)/(g**(-1/2)*g*g/g**(-1/4))) assuming g is positive. g**(6431/3388) Simplify ((f**(-1/3))**21)**(1/37)*((f*f/f**3)/((f*f**(-2/5))/f))/(f/f**1*f)**(-5/6) assuming f is positive. f**(49/1110) Simplify (w*w**3)/w*w*w/(w/(w/((w**(-1/4)/w)/w)))*w/(w*w**0)*w*w/(w*w*w*w**3)*w*w*(w*w*w**9/w*w/w**5)**48 assuming w is positive. w**(1173/4) Simplify (((q/(q*q/(q**3/q))*q)/q*q*q**(-2/11))/((q*q**9)/((q*q/q**(-5/6))/q)))/(q*q/q**(2/5)*q**7)**(1/51) assuming q is positive. q**(-12187/1870) Simplify ((g/(g**(5/7)*g))/g*g/(g**11*g)*g*g*g*(g/(g*g/(g**(2/3)*g*g))*g)/g*g**5)**(3/13) assuming g is positive. g**(-64/91) Simplify (p*p**(2/83))**(-18)/(p*p/(p**40/p)*(p/p**(-20))/p*p) assuming p is positive. p**(-202/83) Simplify ((u**(-2/3))**(-41)*(u/(u**(-3/8)/u))/u**4)**(-5/14) assuming u is positive. u**(-3085/336) Simplify (((u/(u**20/u))/u)**(-28)*(u**(2/9))**(-2/25))**14 assuming u is positive. u**(1675744/225) Simplify ((m/(m/(m*m*(m*m/(m/(m/(m/(m**(-2)/m))))*m)/m*m)))**(-11)/(m/m**(-1/7)*m**(-3/7)))**46 assuming m is positive. m**(-3772/7) Simplif
{ "pile_set_name": "DM Mathematics" }
Solve -y**5/5 - 24*y**4/5 - 29*y**3/5 + 1074*y**2/5 + 216*y = 0. -20, -9, -1, 0, 6 Let -2*l**4/11 + 5518*l**3/11 - 16536*l**2/11 = 0. Calculate l. 0, 3, 2756 Determine p so that p**3/7 + 41226*p**2/7 + 424772064*p/7 - 2550116736/7 = 0. -20616, 6 Determine b, given that -b**5 + 77*b**4 - 1426*b**3 - 2158*b**2 + 126995*b + 459425 = 0. -5, 17, 23, 47 What is p in 2*p**2 - 920*p - 6538 = 0? -7, 467 Find h such that 12*h**3/7 - 107673*h**2/7 + 188385*h/7 + 53826/7 = 0. -1/4, 2, 8971 Factor 2*l**4 + 38*l**3 - 12110*l**2 - 24326*l - 12180. 2*(l - 70)*(l + 1)**2*(l + 87) Factor -3*y**2/7 + 1512*y + 10587/7. -3*(y - 3529)*(y + 1)/7 Find c such that -c**2/10 + 5616*c/5 - 11231/10 = 0. 1, 11231 Factor -2*n**2/5 + 1986*n/5 + 1996. -2*(n - 998)*(n + 5)/5 Find h, given that -h**5/6 - 5*h**4/2 - 83*h**3/6 - 209*h**2/6 - 40*h - 50/3 = 0. -5, -2, -1 What is h in 2*h**2 + 4394*h + 181020 = 0? -2155, -42 Factor -5*r**5 - 21280*r**4 - 22684440*r**3 - 90482560*r**2 - 90397520*r. -5*r*(r + 2)**2*(r + 2126)**2 Let 2*l**2/5 + 94*l/5 - 14916/5 = 0. Calculate l. -113, 66 Determine w, given that -14*w**5/5 - 36542*w**4/15 + 219044*w**3/15 + 38344*w**2/15 - 58384*w/5 + 14016/5 = 0. -876, -1, 2/7, 2/3, 6 Solve 100*l**5 + 13620*l**4 + 16056*l**3 - 19408*l**2 + 4320*l = 0 for l. -135, -2, 0, 2/5 Factor -3*q**3 + 19203*q**2 + 3*q - 19203. -3*(q - 6401)*(q - 1)*(q + 1) Let 118*p**3 + 18522*p**2 + 17780*p - 624 = 0. Calculate p. -156, -1, 2/59 Factor 3*h**2/2 + 46965*h/2. 3*h*(h + 15655)/2 Suppose 4*j**2 + 4004*j - 4008 = 0. Calculate j. -1002, 1 Factor 10*t**3/9 - 36*t**2 + 38*t/3 + 448/9. 2*(t - 32)*(t + 1)*(5*t - 7)/9 Factor 3*s**2 + 5101437*s + 5101434. 3*(s + 1)*(s + 1700478) Find k, given that 4*k**3 - 364*k**2 - 15720*k - 80352 = 0. -27, -6, 124 Determine b, given that 2*b**4/7 - 88*b**3/7 + 712*b**2/7 - 1088*b/7 = 0. 0, 2, 8, 34 Suppose 4*h**5/3 - 313*h**4/3 - 310*h**3 + 354292*h**2/3 - 1133458*h/3 + 87079 = 0. What is h? -31, 1/4, 3, 53 Factor f**3/2 - 100063*f**2/2 + 2503201023*f/2 - 2503100961/2. (f - 50031)**2*(f - 1)/2 Suppose z**5/3 + 389*z**4 - 7025*z**3/3 + 5079*z**2 - 14072*z/3 + 1564 = 0. Calculate z. -1173, 1, 2 Factor -2*b**3/5 - 676238*b**2/5 - 11432378192*b + 11432513440. -2*(b - 1)*(b + 169060)**2/5 Solve 7*f**4/4 + 1801*f**3/4 + 27327*f**2 - 19879*f - 7900 = 0. -158, -100, -2/7, 1 Factor 788*d**5 + 7848*d**4 + 19380*d**3 - 800*d**2. 4*d**2*(d + 5)**2*(197*d - 8) Factor 2*z**4/5 + 56*z**3/5 + 242*z**2/5 + 276*z/5. 2*z*(z + 2)*(z + 3)*(z + 23)/5 Find a, given that -2*a**4 - 1232*a**3 - 8538*a**2 - 7308*a = 0. -609, -6, -1, 0 Let -4*w**5/7 - 68*w**4/7 - 108*w**3/7 + 212*w**2/7 + 496*w/7 + 240/7 = 0. What is w? -15, -2, -1, 2 Factor 2*n**2 + 71074*n - 568720. 2*(n - 8)*(n + 35545) Let -h**2/2 - 46971*h - 2206274841/2 = 0. Calculate h. -46971 Factor -2*j**4/17 + 3806*j**3/17 - 7606*j**2/17 + 3802*j/17. -2*j*(j - 1901)*(j - 1)**2/17 What is m in -m**3/12 - 401*m**2/4 - 7258*m - 406847/3 = 0? -1127, -38 Suppose -f**3/5 - 14*f**2/5 + 89*f/5 - 114/5 = 0. Calculate f. -19, 2, 3 Suppose 3*h**4/5 + 285*h**3 + 145188*h**2/5 = 0. Calculate h. -327, -148, 0 Factor -10*s**2 + 7585*s + 15210. -5*(s + 2)*(2*s - 1521) Determine u so that -u**5 - 354*u**4 - 32376*u**3 - 185840*u**2 - 366096*u - 242208 = 0. -174, -2 Suppose 4*f**3 - 247546*f**2 + 3830000768*f - 1914938498 = 0. Calculate f. 1/2, 30943 Determine n so that 2*n**4/13 + 26040*n**3/13 + 84760200*n**2/13 = 0. -6510, 0 Solve -p**5 + 550*p**4 - 85825*p**3 + 2805000*p**2 - 26010000*p = 0 for p. 0, 20, 255 Find n, given that -462*n**3 + 5548*n**2/3 - 4174*n/3 + 4 = 0. 2/693, 1, 3 Factor -3*k**2/5 - 33168*k - 458381760. -3*(k + 27640)**2/5 Suppose t**2/3 - 1288982*t + 1246105947243 = 0. What is t? 1933473 Solve -4*g**3 + 88*g**2 + 3060*g - 60264 = 0 for g. -27, 18, 31 Find t such that 5*t**4 - 1125*t**3 - 89945*t**2 + 279825*t = 0. -65, 0, 3, 287 Factor l**3 + 687*l**2 + 15956*l + 29172. (l + 2)*(l + 22)*(l + 663) Determine r so that -3*r**5 - 60*r**4 - 399*r**3 - 1014*r**2 - 1056*r - 384 = 0. -8, -2, -1 Solve 10*u**3 - 5916*u**2 + 21152*u + 9408 = 0. -2/5, 4, 588 Solve -4*l**3/5 - 1524*l**2/5 + 28804*l/5 + 30324/5 = 0. -399, -1, 19 Factor 2*h**3 - 40*h**2 - 8858*h - 59360. 2*(h - 80)*(h + 7)*(h + 53) Find g, given that -g**4/6 - 557*g**3/6 + 5681*g**2/6 + 2079*g/2 = 0. -567, -1, 0, 11 Factor s**2/4 - 6721*s/4 - 6725. (s - 6725)*(s + 4)/4 Find n, given that -n**3/5 - 61*n**2/5 - 144*n = 0. -45, -16, 0 Find f, given that -f**5/5 + 13*f**4/5 + 1178*f**3/5 + 3508*f**2 + 19880*f + 37600 = 0. -10, -4, 47 Factor 2*c**4/9 + 1204*c**3/9 - 6320*c**2 + 96300*c - 485250. 2*(c - 15)**3*(c + 647)/9 Determine i, given that -3*i**3 + 618*i**2 + 7161*i = 0. -11, 0, 217 Suppose -5*p**3 + 372590*p**2 - 6941537980*p + 13881585640 = 0. Calculate p. 2, 37258 Suppose 5*j**2 + 14715320*j + 10827032135120 = 0. Calculate j. -1471532 Find j such that -3*j**5 - 723*j**4 - 13416*j**3 - 33036*j**2 + 316512*j - 381888 = 0. -221, -12, 2 Factor -b**3/9 - 72859*b**2/9 - 442381633*b/3 - 147452449. -(b + 1)*(b + 36429)**2/9 Factor -5*j**2/6 + 385*j/6 - 1060. -5*(j - 53)*(j - 24)/6 Factor 5*y**2 - 929030*y. 5*y*(y - 185806) Let -4*u**4 + 632*u**3 - 11628*u**2 + 15832*u + 83296 = 0. What is u? -2, 4, 19, 137 Find j such that j**3 - 81*j**2 + 848*j - 1380 = 0. 2, 10, 69 Let 5*c**4/2 + 5*c**3 - 11210*c**2 + 281580*c = 0. Calculate c. -78, 0, 38 Solve -3*w**2/2 + 1671*w/2 + 4215 = 0 for w. -5, 562 What is b in 4*b**5 + 14008*b**4 + 12291944*b**3 + 48846032*b**2 - 85791948*b - 122360040 = 0? -1749, -5, -1, 2 Solve -2*z**3/15 + 136*z**2/15 - 814*z/5 + 2052/5 = 0. 3, 27, 38 Factor 3*k**4 - 7080*k**3 - 49671*k**2 - 85212*k. 3*k*(k - 2367)*(k + 3)*(k + 4) Suppose -q**4/4 + 23*q**3 + 579*q**2/4 + 439*q/2 + 98 = 0. What is q? -4, -1, 98 Find z, given that 9*z**2 - 2335*z + 1036 = 0. 4/9, 259 Let 3*q**3 - 3144*q**2 - 409680*q - 12614400 = 0. Calculate q. -60, 1168 Solve -o**2/9 + 1081*o/9 + 37910/9 = 0 for o. -34, 1115 Suppose 9*j**4 + 591*j**3 - 204*j**2 - 396*j = 0. Calculate j. -66, -2/3, 0, 1 Let -24*m**5 + 201*m**4 + 960*m**3 + 1005*m**2 + 54*m - 216 = 0. Calculate m. -2, -1, 3/8, 12 Let -2*j**3/7 - 484*j**2/7 - 17104*j/7 - 60800/7 = 0. What is j? -200, -38, -4 Suppose t**5/4 + 623*t**4/4 + 87423*t**3/4 - 3046171*t**2/4 + 1456894*t - 717363 = 0. Calculate t. -326, 1, 27 What is z in 5*z**5 - 200*z**4 + 45*z**3 + 14030*z**2 - 50660*z + 47880 = 0? -9, 2, 7, 38 Factor -f**4 + 22*f**3 + f**2 - 22*f. -f*(f - 22)*(f - 1)*(f + 1) Factor -3*i**2/2 - 405*i/2 + 204. -3*(i - 1)*(i + 136)/2 Factor -2*c**4 + 1050*c**3 - 23092*c**2. -2*c**2*(c - 502)*(c - 23) Factor 2*n**2 - 23644*n. 2*n*(n - 11822) Factor 6*g**2/11 - 2492910*g/11 - 2492916/11. 6*(g - 415486)*(g + 1)/11 Factor c**2 + 726*c + 2169. (c + 3)*(c + 723) Suppose -j**3 - 20958*j**2 + 83844*j - 83848 = 0. What is j? -20962, 2 Let -2*x**5 + 11392*x**4 - 16187978*x**3 - 97538348*x**2 - 364928*x + 520204864 = 0. Calculate x. -4, 2, 2851 Factor -5*d**2 - 203080*d. -5*d*(d + 40616) Solve -l**2/4 + 259*l/4 - 7059/2 = 0 for l. 78, 181 Suppose 5*s**2 - 195470*s - 195475 = 0. Calculate s. -1, 39095 Factor -q**4/6 - 16*q**3/3 + 149*q**2/6 + 30*q. -q*(q - 5)*(q + 1)*(q + 36)/6 Factor 27*p**3 + 4035*p**2 + 5772*p. 3*p*(p + 148)*(9*p + 13) What is s in -27*s**5/2 + 957*s**4 - 18284*s**3 + 46856*s**2 - 30328*s + 4624 = 0? 2/9, 2/3, 2, 34 Find u such that 55*u**3 + 32965*u**2 + 11980*u = 0. -599, -4/11, 0 Factor 2*s**2/7 - 380*s/7 - 114048/7. 2*(s - 352)*(s + 162)/7 Let -4*t**3 + 1160*t**2 - 2308*t + 1152 = 0. What is t? 1, 288 Determine d, given that -29*d**5 + 930*d**4 - 1775*d**3 - 810*d**2 + 1804*d - 120 = 0. -1, 2/29, 1, 2, 30 Factor -3*p**3 - 10302*p**2 - 164256*p - 656256. -3*(p + 8)**2*(p + 3418) What is n in n**4/5 + 17*n**3/5 + 67*n**2/5 + 87*n/5 + 36/5 = 0? -12, -3, -1 Determine d, given that -d**3 - 83*d**2/2 + 4423*d/2 + 1116 = 0. -72, -1/2, 31 Factor v**3/2 + 8951*v**2 + 107385*v/2 + 80532. (v + 3)**2*(v + 17896)/2 Suppose -27*i**5 + 4113*i**4 - 21432*i**3 + 39000*i**2 - 28272*i + 7056 = 0. What is i? 2/3, 2, 147 Find w, given that 16*w**5 + 25586*w**4 + 308670*w**3 + 1258024*w**2 + 1777568*w + 203136 = 0. -1587, -4, -1/8 Factor -50*k**3 - 1635*k**2 + 3995*k - 1050. -5*(k - 2)*(k + 35)*(10*k - 3) Factor 5*p**2 -
{ "pile_set_name": "DM Mathematics" }
next: -1362, -2739, -4146, -5601, -7122, -8727? -10434 What comes next: -10463, -10427, -10369, -10289, -10187, -10063, -9917? -9749 What is the next term in -6300, -12597, -18894, -25191, -31488, -37785? -44082 What comes next: -3954, -15780, -35468, -63000, -98358, -141524, -192480, -251208? -317690 What comes next: 6148, 24162, 54178, 96190, 150192? 216178 What is the next term in 1414706, 1414702, 1414698? 1414694 What is the next term in -20144, -20220, -20296, -20372? -20448 What comes next: -2815, -5818, -8885, -12010, -15187, -18410? -21673 What is the next term in 3178, 3194, 3220, 3256, 3302? 3358 What is next in -15252, -15176, -15050, -14874, -14648, -14372? -14046 What is next in -1010, -2024, -3038, -4052? -5066 What comes next: 44790, 44780, 44748, 44682, 44570, 44400, 44160? 43838 What is the next term in 364, 1575, 3600, 6445, 10116, 14619? 19960 What is the next term in -2177, -2152, -2109, -2048, -1969, -1872, -1757? -1624 What comes next: -49920, -49924, -49938, -49968, -50020? 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{ "pile_set_name": "DM Mathematics" }
x be 14*9/r*-1. Solve -5*a + x = 1 for a. 4 Let t be ((-6)/(-4))/(9/(-12)). Let c = t - -4. Solve c*w + 20 = 6*w for w. 5 Let w(k) = k**3 + 6*k**2 - 2*k - 6. Let q(u) = -u**3 + 5*u**2 + 6*u - 6. Let t be q(4). Suppose -5*p - t = -4. Let d be w(p). Solve -d*m + m + 15 = 0 for m. 3 Suppose 3*n + 18 = 5*i, n - 2 = -i - 0*i. Let u(f) = f**2 - 9*f + 10. Let d be u(8). Solve d*p + i*p - 5 = 0 for p. 1 Let h = -4 + 8. Solve h*x = 1 - 5 for x. -1 Let s = 29 - 25. Solve s*u = u - 3 for u. -1 Suppose -3*c - t + 23 = 6, 2*c - 3*t = -7. Let s(r) = r**2 - 1. Let a(b) = -b**2 - b + 5. Let q(g) = a(g) + 4*s(g). Let v be q(1). Solve v*j - c = -1 for j. 1 Let c(s) be the second derivative of s**5/20 + s**4/12 + s**3/6 + s**2/2 + 2*s. Let z be c(-1). Let v be (-1)/3 + (-4)/(-12). Solve z*i - i - 5 = v for i. -5 Let j(a) = a + 2. Let m be j(0). Let k be (7 - 8)/(1/(-5)). Let v be 1/3 - 1/3. Solve v = k*z - 3*z + m for z. -1 Suppose 0 = 3*q + 13 - 1. Let f(l) = -l**2 - 7*l - 6. Let r be f(q). Suppose 0*v + r = 2*v. Solve 2*y - 1 = -v for y. -1 Suppose -2*h - 4*i - 8 = 0, -3*h + 4*i - 2 = 8*i. Solve -h = -y - 2*y for y. 2 Let l(r) = -r**2 - 10*r + 11. Let u be l(-11). Solve u = 5*q + 1 - 6 for q. 1 Let n = 98 - 92. Solve -3*m - n = 9 for m. -5 Let n = 5 - 1. Suppose -15 = -0*a - 3*a. Suppose -2*s - 4*l = -24, a*l = s + 7 + 16. Solve n = -s*b - 2*b for b. -1 Suppose 2*u - 1 = 9. Let o(j) = j**2 + 1. Let i(l) = 2*l**2 + l + 2. Let g(x) = -2*i(x) + 3*o(x). Let w be g(-1). Solve -u*c - 8 - 7 = w for c. -3 Suppose x + x - 2 = 0. Let l be 4*(2/(-2) - 10). Let a = l + 65. Solve -a + x = -5*o for o. 4 Let u be (-4)/(-1 + (-4)/(-3)). Let q be 2/(-2) + u/(-4). Let h = 0 + q. Solve t = -h*t + 12 for t. 4 Let w(p) = p**2 - 5*p + 3. Let n be w(5). Solve 1 + 2 = -n*d for d. -1 Suppose 2*d + 8*v - 12 = 3*v, 4*d - 2*v + 24 = 0. Let g be d/5*(-5)/2. Suppose -2*i - 15 = -5*p + 9, 5*i = -2*p - 2. Solve 2 = -p*u + g*u for u. -1 Suppose -3*t = 2*t - 30. Solve -t*v = -3*v - 9 for v. 3 Let l(w) = 4*w + 10. Let b be l(0). Solve -3*z + 1 = b for z. -3 Let p be (-604)/(-36) - (-6)/27. Let t(r) = -3*r. Suppose -4*l + 5*c - 24 = 0, -2*c + 11 = -2*l - l. Let z be t(l). Solve -z = 4*d + p for d. -5 Suppose -2*n - 8 = -3*y, 2*y = -5*n + 20 - 2. Let p = 5 - 2. Suppose p*g = -g + 12. Solve g*k + 25 = -n*k for k. -5 Let g(z) = z**2 - 2*z - 1. Let n be g(-1). Let v(q) = -q**3 + 2*q**2 - 2*q + 1. Let c be v(n). Let y be (-1 + (-2)/c)*-6. Solve -3*j + y = -j for j. 1 Suppose -5*g + 5*b + 70 = 0, b - 11 = -5*g + 35. Solve 3*i = -2*i + g for i. 2 Let m be (-2)/((-3)/(-3)) + -2. Let q be m*((-6)/(-4) - 2). Suppose 0*c - 12 = -3*c. Solve -10 = c*h - q*h for h. -5 Let r(o) = 3*o - 9. Let v(i) = -3*i + 10. Let c(g) = 4*r(g) + 3*v(g). Let q be c(4). Solve m = q*m - 15 for m. 3 Let x be -16*((-9)/(-6))/3. Let u = x - -11. Solve 5*h + u - 28 = 0 for h. 5 Let k(a) = -a**2 + 3. Let f(l) = -l - 3. Let t be f(-3). Let v be k(t). Solve v = 3*c - 0*c for c. 1 Suppose 5*d + 16 = 2*v, 3*v + 3*d - 3 = -0*d. Solve v*h = -2*h + 25 for h. 5 Let c(m) = -3 - 2*m**2 - 3*m - 3*m + 3*m**2 + 12. Let p be c(6). Solve 0 = -3*j + p for j. 3 Suppose -6 = -2*n - 0. Solve 10 = n*o + 25 for o. -5 Let b be 0*(0 - (-2)/(-2)). Let f(m) = 2*m**3 + 12*m - 11*m + 2*m**3 - 1. Let j be f(1). Solve o - 5*o - j = b for o. -1 Let k be -3*1/((-15)/5). Solve -v - 5 + k = 0 for v. -4 Suppose 6 = 6*o - 3*o. Solve h = -o*h for h. 0 Suppose 3*u - 36 = u. Suppose u = h + 2*h. Solve 4*z - 10 = h for z. 4 Suppose 6*k + 13 - 13 = 0. Solve -h + k*h + 3 = 0 for h. 3 Let r(t) = -t + 7. Suppose 2 = z - 2. Let k be r(z). Solve -4*l - 1 - k = 0 for l. -1 Let k be (-5)/((-15)/12) + -2. Suppose 3*l - 4 = k*l. Let u(f) = f**2 - 2*f. Let y be u(2). Solve y = d + l*d - 10 for d. 2 Let z = 32 + -30. Solve 0 = -z*t - 0 + 10 for t. 5 Let p be 4/16 + 7/4. Suppose 0 = -4*f + p*f + 10. Suppose 0 = -o + f. Solve -4*u = -3*u + o for u. -5 Let i(x) = x**3 + 9*x**2 + 4. Let p be i(-9). Let q = -2 + p. Solve 5*t + 3 = -q for t. -1 Let d be (-6)/5*10/(-3). Suppose n = 4*v + 5, 0 = v + d*n - 6*n + 10. Solve 0 = 4*s - v*s for s. 0 Let t be (-17 - -5)/(-4 + 2). Solve 7*u + t = 4*u for u. -2 Suppose -3*i = 2*a - 6, 4*a + i - 5 = -3. Let w(x) = x**2 - 3*x - 2. Let p be w(4). Solve 0 = p*g - a*g for g. 0 Suppose 0 = -4*i + 3*i + 2*l + 10, -3*l - 43 = -5*i. Suppose -i = -2*g - 2*g. Solve -16 = -g*s - 2*s for s. 4 Suppose -4*u - 4*j = -4 - 4, 15 = -5*j. Solve u*f = 10 + 10 for f. 4 Suppose -11 = -2*l - 5*k + 9, 4*l - 4*k + 16 = 0. Suppose 0 = -l*u - 3*u + 6. Solve 6*t - u*t = -20 for t. -5 Let z(b) be the third derivative of b**5/60 - b**4/4 + b**3/3 + 9*b**2. Let k(d) = d**2 + 2*d - 1. Let c be k(2). Let v be z(c). Solve 0 = -2*w - v - 1 for w. -5 Let d(m) = m**3 - 3*m**2 + m. Let x be d(3). Suppose x*p = p. Solve 10 = 2*j - p for j. 5 Let l(h) = -2*h - 6. Let k be l(-3). Solve -10 = -k*o - 2*o for o. 5 Let i = 1 - -1. Let n = 2 - i. Solve 4*b + 0 - 16 = n for b. 4 Let v(z) = 3 - 5 + 3 + 3*z**2 + 3*z - 2*z. Let f be v(-1). Solve f*a = 6*a for a. 0 Suppose 0 = -5*t + 5*j, -2*t = 2*t + 3*j - 14. Solve t*i + 10 = 7*i for i. 2 Let w = 47 + -29. Suppose -h = -d + 6, -d - 2*h - w = -4*d. Let x be 2*(d - (-2)/(-1)). Solve 0 = -5*b + x + 12 for b. 4 Let j(m) be the second derivative of m**5/20 + m**4/3 - m**3/6 - m**2/2 + m. Let n be j(-4). Let k be 3/3 - (0 - 5). Solve k = n*i + 3 for i. 1 Let c be (-3)/(-1 + -2)*4. Suppose -3 = -c*q + 5. Solve -q*j = j + 9 for j. -3 Let g(r) = -2*r - 1. Let c be g(-2). Let x = 175 + -172. Solve 0 = -c*z + x - 18 for z. -5 Let s = -91 - -93. Solve s*k + 0*k + 10 = 0 for k. -5 Suppose -3*r = -r - r. Solve -4*k + 0*k + 16 = r for k. 4 Let u = -41 - -41. Solve -2*n + 5*n = u for n. 0 Let m be (0 - 0)*(-2)/4. Suppose -i + 3*i + 2*f = 8, m = 3*i + 4*f - 12. Solve 0*b - b = -i for b. 4 Let h(b) = -10*b - 1. Let o be h(-1). Suppose -2*c - 3*y = 10, y + o = -2*c + 3. Let j be (3/1)/(-1 - c). Solve j = -n - 0 for n. -3 Let c be (-120)/(-21) + (-10)/(-35). Solve -c*x = -x + 25 for x. -5 Let c be 847/55 - ((-24)/(-10) - 2). Solve -n = 2*n + c for n. -5 Let n(r) = r**3 - r**2 + r - 1. Let g be n(1). Suppose g*b = -4*b. Solve b*p - p = 3 for p. -3 Suppose 3 + 13 = 3*f - 2*o, -4*o = f + 18. Solve -f*q + 1 = -3*q for q. -1 Suppose 3*n = -5*r - 6, -n = 4*r - 5*n - 8. Solve q - 3*q = r for q. 0 Suppose 4*o + 3*t = 4, 0 = t + 3*t. Solve -h + 3 = -o for h. 4 Let j(b) = b**2 - 1. Let r be j(1). Let x = r + 2. Let h be 3 + x*(-1)/2. Solve -2 + 0 = h*p for p. -1 Let j(n) = -n + 4. Let z be j(-5). Suppose 0 = -3*v + 4*o - 20, 2*v - 2*o = -8 - 6. Let s be 4/(v/(-6)) - -3. Solve 0 = 3*g - s*g - z for g. -3 Let b = -16 + 20. Solve b*f + 23 = 3 for f. -5 Let u(k) be the second derivative of -k**3/6 - k**2 - k. Let g be u(-4). Let o be (8/7)/(5/(-105)*-3). Solve 0 = -2*z + g - o for z. -3 Let b be 3/(-12) - 9/(-4). Solve b - 27 = 5*s for s. -5 Let l be 1 + -2 - (3 + -5). Suppose 3*k = l + 2. Let i be (3 - k) + -2 + 3. Solve i*m - 8 + 2 = 0 for m. 2 Let y(r) = -r**3 - 6*r**2 - 4*r + 5. Suppose 0 = 4*w - 3*x - 0*x + 20, 10 = -2*w - 5*x. Let s be y(w). Suppose s = -0*i - 4*i. Solve o + i = 2 for o. 2 Let o(d) = d**3 + 2*d**2. Let g be o(-2). Let x = -10 + 10. Solve g = -i - x*i for i. 0 Let g(j) = -j**2 + 4. Let f be g(-3). Let r = f + 7. Solve 0 = -r*w + 6*w for w. 0 Let t = -11 - -8. Let m = -3 - t. Let x = 3 + m. Solve -x*k + 4 = -4*k for k. -4 Let g be (-1)/(3/(-4))*(-3)/(-2). Solve 0 = -u + g - 0 for u. 2 Let q(a) = -5*a - 4. Let m(y) = -9*y - 7. Let c(b) = -4*m(b) + 7*q(b). Let d be c(-1). Let x be (d/2 + 0)*-2. Solve h = -2 - x for h. -3 Suppose 0*d = 3*d - 3*r + 12, 3*r = -4*d + 12. Suppose -4*n - 5*h = n - 30, d = 4*n - 2*h - 6. Solve 1 = -2*f - n for f. -2 Let j = 4 - 4. Let f(y) = -y**3 - y**2 - y + 4. Let g be f(j). Suppose 0 = 2*k - g. Solve 4*c = -2 - k for c. -1 Let g be ((-2)/(-4))/(1/12). Let f be (-2 - -2)*2/g. Solve -a - 2*a + 3 = f for a. 1 Let c(p) = -5*p + 3. Let w be c(-5). Suppose 0 = 5*u - 2*t - w, 5*u = u + 2*t + 24. Suppose 0 = -3*n - q + 41, -2*q + 3 = -n + 26. Solve -u*f = f - n for f. 3 Let y(u) = u**2 + 5*u + 1. Let l be y(-5). Let s = l + -2. Let v be (8/(-10))/(s/5). Solve -2*a + v = -6 for a. 5 Let l(j) = j**2 + 8*j - 7. Let z be l(-8). Let k = 13 +
{ "pile_set_name": "DM Mathematics" }
the next term in -5820, -11660, -17516, -23388, -29276, -35180? -41100 What is next in -1111, -5508, -16515, -37438, -71583, -122256, -192763, -286410? -406503 What is next in -48570, -48563, -48522, -48423, -48242, -47955? -47538 What is next in -80770, -161215, -241660? -322105 What comes next: 212800, 212857, 212928, 213019, 213136, 213285, 213472, 213703? 213984 What is next in 50793, 101585, 152377, 203169, 253961? 304753 What is next in -21061, -42084, -63083, -84058? -105009 What comes next: -746, -1159, -2208, -4211, -7486, -12351, -19124? -28123 What is the next term in -1009904, -2019956, -3030008? -4040060 What is next in -19, -6061, -22427, -54271, -106747, -185009? -294211 What comes next: -9820135, -9820138, -9820141? -9820144 What is the next term in -955, -1091, -1323, -1651, -2075, -2595, -3211? -3923 What is next in 146, 502, 1230, 2510, 4522, 7446, 11462? 16750 What comes next: 506, 2319, 5366, 9647, 15162? 21911 What is the next term in -10386337, -20772682, -31159029, -41545378, -51931729, -62318082, -72704437? -83090794 What is next in -28528, -114124, -256768, -456460, -713200, -1026988, -1397824? -1825708 What comes next: -365, -553, -737, -917, -1093, -1265, -1433? -1597 What is next in 1610, 1440, 1156, 758, 246? -380 What is next in 3189245, 6378488, 9567731, 12756974, 15946217? 19135460 What comes next: 396229, 792450, 1188671? 1584892 What is the next term in -423, -179, 241, 849, 1657, 2677, 3921? 5401 What is next in 10232, 20563, 30894, 41225? 51556 What is the next term in -2546, -3946, -5338, -6722, -8098, -9466? -10826 What is next in -302713781, -302713782, -302713783, -302713784, -302713785, -302713786? -302713787 What is next in 11009, 22740, 35191, 48362, 62253, 76864? 92195 What comes next: -8403123, -16806201, -25209277, -33612351, -42015423, -50418493, -58821561? -67224627 What comes next: 292837, 585658, 878485, 1171318? 1464157 What is next in 5355180, 5355177, 5355174, 5355171, 5355168? 5355165 What is the next term in 56456, 113566, 170676? 227786 What is next in -22726, -21561, -19618, -16897, -13398, -9121? -4066 What is the next term in -960811, -960788, -960765, -960742, -960719, -960696? -960673 What is next in 710438, 1420885, 2131332, 2841779, 3552226? 4262673 What is the next term in 798916, 1597818, 2396720, 3195622? 3994524 What comes next: -9837, -10066, -10249, -10380, -10453, -10462, -10401? -10264 What is next in 1517, 2595, 3353, 3791, 3909, 3707, 3185? 2343 What is next in 31955, 63091, 94225, 125357, 156487? 187615 What is the next term in 694, 5215, 17490, 41395, 80806? 139599 What is next in 525, 1131, 2051, 3441, 5457? 8255 What comes next: 88459, 88373, 88287? 88201 What comes next: 32419, 65744, 99069, 132394? 165719 What comes next: -18984, -18894, -18800, -18702, -18600? -18494 What is next in 329, 690, 1071, 1472, 1893, 2334, 2795? 3276 What is next in -5132025, -10264050, -15396075, -20528100, -25660125, -30792150? -35924175 What is the next term in 29544, 117705, 264504, 469953, 734064, 1056849, 1438320, 1878489? 2377368 What comes next: 1237528, 2475049, 3712570, 4950091, 6187612, 7425133? 8662654 What is the next term in -1206008, -2412068, -3618248, -4824608, -6031208? -7238108 What comes next: 12108, 24488, 36868, 49248, 61628, 74008? 86388 What is the next term in -51220813, -51220810, -51220805, -51220798, -51220789, -51220778, -51220765? -51220750 What is next in 329220, 329248, 329266, 329268, 329248? 329200 What is the next term in 2349364, 4698748, 7048136, 9397528, 11746924, 14096324? 16445728 What is the next term in 6735, 27403, 62007, 110559, 173071, 249555, 340023, 444487? 562959 What is next in 5248835, 5248831, 5248827, 5248823, 5248819, 5248815? 5248811 What comes next: -15, 824, 3015, 7236, 14165? 24480 What is the next term in 77607, 154643, 231679? 308715 What is next in -85102, -170095, -254894, -339403, -423526, -507167, -590230, -672619? -754238 What is next in 2424, 14001, 33306, 60345, 95124, 137649? 187926 What comes next: 401, 2229, 7189, 16847, 32769, 56521, 89669, 133779? 190417 What comes next: -355625, -1422436, -3200463, -5689712, -8890189, -12801900? -17424851 What is the next term in -49289, -99071, -148853, -198635, -248417? -298199 What is next in -278153, -278180, -278207, -278234? -278261 What is next in -2538, -15397, -50250, -118095, -229930? -396753 What comes next: -131406, -131394, -131376, -131352, -131322, -131286, -131244? -131196 What is the next term in 373091, 746183, 1119275, 1492367, 1865459, 2238551? 2611643 What is next in -21535, -21289, -21045, -20803? -20563 What is the next term in -20772, -20855, -21066, -21465, -22112, -23067, -24390, -26141? -28380 What is next in -207083, -207088, -207115, -207182, -207307, -207508, -207803, -208210? -208747 What is the next term in 2167320, 4334648, 6501980, 8669316, 10836656, 13004000? 15171348 What is next in 21446, 33578, 45710, 57842, 69974? 82106 What is next in -252887, -252861, -252809, -252725, -252603, -252437, -252221? -251949 What is next in -23422, -94069, -211812, -376651, -588586, -847617, -1153744? -1506967 What comes next: -148, -1170, -3796, -8782, -16884? -28858 What is next in -284, -1327, -3168, -5861, -9460? -14019 What is the next term in 58138, 57694, 57250, 56806, 56362, 55918? 55474 What comes next: 152, 835, 2548, 5807, 11128, 19027, 30020? 44623 What comes next: 1696359, 1696369, 1696379, 1696389? 1696399 What is next in -16475, -33026, -49651, -66344, -83099, -99910? -116771 What comes next: -14912884, -29825763, -44738642, -59651521, -74564400, -89477279? -104390158 What comes next: 323, 2314, 5909, 11108, 17911, 26318? 36329 What comes next: 110264, 116219, 122174, 128129, 134084? 140039 What is next in 484102, 484143, 484184, 484225, 484266? 484307 What comes next: -2622, -5831, -9042, -12255? -15470 What comes next: 37476, 74930, 112382, 149832, 187280, 224726, 262170? 299612 What is next in 1324, 3248, 6414, 10822, 16472, 23364? 31498 What is next in 7871, 7733, 7573, 7379, 7139? 6841 What is the next term in -957, -1980, -3099, -4314, -5625, -7032, -8535? -10134 What is the next term in -4714, -10995, -18828, -28207, -39126? -51579 What comes next: -4565, -4792, -4971, -5078, -5089, -4980, -4727? -4306 What comes next: -373598, -747102, -1120606, -1494110? -1867614 What is next in 2735301, 5470620, 8205939, 10941258, 13676577, 16411896? 19147215 What is next in 7581, 7705, 7825, 7941? 8053 What comes next: -18273471, -18273456, -18273441, -18273426, -18273411, -18273396? -18273381 What comes next: -4910, -4886, -4846, -4790? -4718 What is the next term in 6538, 26075, 58620, 104179, 162758, 234363? 319000 What is next in 84430, 337617, 759602, 1350391, 2109990, 3038405, 4135642? 5401707 What is the next term in -3056, -4292, -5528, -6764, -8000, -9236? -10472 What is next in -20147536, -40295073, -60442610? -80590147 What is next in 2149, 2616, 3393, 4480? 5877 What comes next: 218637, 871659, 1960037, 3483777, 5442885, 7837367, 10667229? 13932477 What is next in 25480806, 50961613, 76442420, 101923227, 127404034, 152884841? 178365648 What comes next: 138910, 138810, 138710, 138610, 138510? 138410 What is the next term in -107480223, -107480230, -107480241, -107480256, -107480275, -107480298? -107480325 What is the next term in -10725694, -21451321, -32176948, -42902575? -53628202 What is the next term in 657389465, 1314778930, 1972168395, 2629557860, 3286947325? 3944336790 What is the next term in -628295, -627996, -627497, -626798, -625899, -624800? -623501 What comes next: 143651, 287441, 431367, 575429? 719627 What is next in 26990319, 53980640, 80970963, 107961288, 134951615? 161941944 What is the next term in -3794, -45267, -114382, -211133, -335514, -487519, -667142? -874377 What comes next: 2533049, 5064854, 7596661, 10128470, 12660281? 15192094 What comes next: -468407, -934519, -1400631, -1866743, -2332855, -2798967? -3265079 What is next in 10788698, 10788695, 10788694, 10788695, 10788698, 10788703? 10788710 What is the next term in 21919, 22141, 22363, 22585? 22807 What is next in -27535495, -55071000, -82606505, -110142010? -137677515 What comes next: 11, 69, 347, 989, 2139, 3941, 6539, 10077? 14699 What comes next: -118697,
{ "pile_set_name": "DM Mathematics" }
**2 - 2*l - 3. Let v be u(-3). Let j be (2/(-3))/(16/v). Which is the second biggest value? (a) -3 (b) x (c) j a Let d = -1.3 - 7.7. Let l = d - -16. What is the third smallest value in l, 1/5, -1? l Let f = 1 + -2. Let h = -93.5 + 94. What is the biggest value in 2/7, h, f? h Let v be -1*(12/3 - 3). Which is the third smallest value? (a) -1/7 (b) -2/5 (c) v a Let j be 6*(-2 - (-33)/6 - 3). Which is the third smallest value? (a) j (b) -0.4 (c) 0.06 a Let u = 1 - 1. Let l = -23 - -23.5. What is the second biggest value in l, u, 4? l Let r = -1 - -1. Let h be 72/(-105) - (-2)/7. Let y = 0.4041 + -0.0041. Which is the second smallest value? (a) y (b) r (c) h b Let l = -0.74 - -0.8. Let b = -0.94 - l. What is the smallest value in 4, -4, b? -4 Let f be 1/15*(-6)/(-2). Let g = 0.1 - 0.1. What is the second biggest value in f, -4, g? g Suppose 3*i - u = 4, -2 = 5*i - 2*u - 8. Let t(f) = -24*f - 7. Let z be t(5). Let a = z + 385/3. What is the second smallest value in i, 3, a? i Let b be 0*(-1 - 1/(-2)). Let a = 0.33 + -0.53. What is the second biggest value in -2/11, b, a? -2/11 Let q = -1.7 - 3.3. Suppose 0 = -3*t + 4*u + 46, 0 = -3*t - 3*u + u + 22. Suppose -4*j = t + 6. What is the third smallest value in q, -4/5, j? -4/5 Let n = 1.5 - 1.6. Let l be (-1)/3*24/(-10). Which is the second smallest value? (a) n (b) l (c) 4 b Let o = -0.6 - -0.6. What is the second biggest value in 1/5, o, -0.3? o Suppose 0 = -5*y + 3*y - 2. Let p = -3 + y. Let x be (-2)/p*20/(-45). Which is the second biggest value? (a) x (b) 3 (c) 2/11 c Suppose 0 = -x - 0*x + 2. What is the biggest value in -2/3, -2, x? x Let y be 47/(-2*1/(-2)). Let n = 71 - y. Let t be n/(-14) - (-10)/(-35). Which is the second smallest value? (a) -5 (b) t (c) 1 b Let h = 86999426/458927 + 3/65561. Let l = h - 189. Which is the biggest value? (a) -0.3 (b) l (c) -5 b Let f = -20 + 19. Which is the smallest value? (a) 0.4 (b) f (c) 0.1 b Let u = -0.13 + 0.13. Let g = u - -4. What is the smallest value in 1/2, -0.3, g? -0.3 Let j = -0.45 - -0.28. Let t = -0.13 + j. Let k be 2/5 - (-48)/(-170). Which is the third smallest value? (a) k (b) t (c) 3/8 c Let x be 12/18*((-46)/(-20) + -2). What is the third biggest value in 3/5, -1/3, x? -1/3 Let f = -335 + 2341/7. Let v = 0.18 + -0.28. What is the second biggest value in -3/2, v, f? f Let q = 1128857 + -979848131/868. Let n be 510/1736 - 4/14. Let m = n + q. What is the third biggest value in m, -0.2, 3/7? m Let i = -0.04 - 4.76. Let l = i - -5. What is the second biggest value in l, -2/9, 2? l Let j = 0 + 8. Let k = -5 + j. Let z = -1046 + 1051. Which is the third biggest value? (a) 2/15 (b) z (c) k a Let w = -1.7 + 3.1. Let m = 0.4 - w. Let n = 2 - m. What is the second smallest value in 4/7, 4, n? n Let t = -0.15 + -6.85. Let x = t + 7. Which is the third smallest value? (a) 2/11 (b) -1/3 (c) x a Suppose -q = -2 - 0. Let w be 4*((q - 1) + -2). Which is the second biggest value? (a) w (b) -1 (c) 0.5 b Suppose 3*h - 4*h = 0. Which is the biggest value? (a) -2 (b) h (c) -1 b Let i = 1 - 6. Which is the second biggest value? (a) 2/3 (b) i (c) 4 a Let d = -4603493/13 + 353930. Let s = d + 185. What is the second biggest value in -1/7, -1/5, s? -1/7 Let h = 0.4 + 0. Let v = 0.6 - h. Let r be (-156)/252 + 4/14. What is the third smallest value in r, -2/7, v? v Suppose -8 = -q - 3. Suppose q = -3*j - 7. Let h = -1187/9 + 132. Which is the smallest value? (a) 5 (b) h (c) j c Let v = -0.13 - -2.63. Let z = v - -2. Let p = z - -0.5. What is the biggest value in p, 2, -0.5? p Let f be ((-12)/(-9) - 2)*(-5)/(-2). Which is the biggest value? (a) f (b) -0.6 (c) -0.5 c Let n(x) = x**2 - 2*x + 1. Let d be n(2). Let r be ((-1)/d)/(7 + -8). Let l be (-35)/10 - r/2. Which is the biggest value? (a) 4/7 (b) 4 (c) l b Let v = 0.6 - 5.6. Which is the smallest value? (a) 3 (b) v (c) 0.4 b Let g = 3 + -2.7. Which is the second smallest value? (a) g (b) 5 (c) 2 (d) -0.5 a Let y = 53 + -103/2. Let n be 24/(-56) + 150/154. Which is the biggest value? (a) n (b) -5 (c) y c Let s = 134 + -667/5. Which is the third biggest value? (a) s (b) -1 (c) 0.4 (d) 2/9 d Let h be ((-27)/63)/((-4)/7). Let i(p) = -p**3 - 5*p**2 - 3. Let y be i(-5). What is the third smallest value in 2/13, h, y? h Let t = -0.26 + -0.1. Let l = t + -0.04. Let k = 0.7 + l. What is the third biggest value in 1/2, -3/5, k? -3/5 Let g = 4721/7528 - 2/941. What is the biggest value in -4, g, -2/5? g Let f be ((-6)/(-3))/((-14)/2). Let i be (-2)/4 + 4/16. Which is the second smallest value? (a) 3 (b) f (c) i c Let r = -18 - -7. Let f = 10 + r. What is the second smallest value in f, 5, -0.2? -0.2 Let l be 6/(-12)*(-2)/(-3). Let k = 141/92 + -18/23. Let t = -1 - -1.3. Which is the smallest value? (a) l (b) t (c) k a Let d = 88 + -87.5. What is the third smallest value in -0.04, 4, d? 4 Let l = -44022/7 - -6272. Let t = l - -17. What is the second smallest value in -0.3, t, -1/3? -0.3 Let r = 6/311 - -3385/1866. Let h = -7/3 + r. Which is the biggest value? (a) -1 (b) -2/9 (c) h b Let r(d) = d**2 + 4*d - 1. Let m be r(-3). Let l be (2/5)/(1/(-5)). Let v = l - m. What is the biggest value in v, -1/5, 5? 5 Let w be (-2)/2*(-2)/11. What is the smallest value in w, 0, -1? -1 Let a(i) = i**2 - 8*i + 14. Let t be a(6). What is the second smallest value in -3/2, t, -13? -3/2 Let m = -5.02 - -5. Let i = m + -0.18. Which is the second smallest value? (a) -5 (b) i (c) 0.2 b Let w = -4.833 + -0.067. Let q = -0.9 - w. Let h = 0.04 + 4.96. What is the third biggest value in q, -3, h? -3 Let r be 3/4*(-1)/3. Let y = 0.09 - -0.41. Let l = y - -3.5. Which is the second smallest value? (a) r (b) -5 (c) l a Let v = -14.2 + 15. Which is the second biggest value? (a) -1 (b) v (c) 2/21 c Suppose -3*r - 12 = w, 2*r + 3*w = r + 4. Which is the fourth biggest value? (a) -1 (b) r (c) -0.03 (d) -0.2 b Let f = 4952/15 - 330. Suppose 0 = 2*y - 5*c + c + 14, 16 = -y + 5*c. Let m = y + 3. What is the second biggest value in -1/3, m, f? f Let y = 3.5 - 3.5. What is the second biggest value in y, -19, 1/5, -0.2? y Let t(w) = 4*w**2 - 31*w - 31. Let b(m) = 3*m**2 - 21*m - 21. Let a(s) = -7*b(s) + 5*t(s). Let p be a(-7). What is the second smallest value in 4, p, -3? p Let b = -41/456 + -2/57. What is the third smallest value in -1/5, 0.5, b, 3? 0.5 Let y be (-5482)/(-45) + 2/(-9). Let h = -594/5 + y. Let u = h + -11/5. Which is the second biggest value? (a) 3 (b) u (c) 4 a Let t = 4 - 6. Let j(z) = z**2 + 3*z + 1. Let h be j(-3). Suppose 4 = -5*p + i + 3*i, 5*p - i + h = 0. What is the second smallest value in 0.5, p, t? p Let l = -2 - -1. Let c = 2 + -5. What is the smallest value in l, c, 4? c Let i = -50 - -50. Let n = 1.01 - 1. Let h = 5.01 - n. Which is the second smallest value? (a) 5/2 (b) h (c) i a Let t = 8.03 - 8. Let m = t - -2.97. Let f = -10 - -14. What is the second biggest value in f, m, -1/6? m Let h be 39/40 - (-3)/(-3). Let x = -49/360 - h. What is the second smallest value in x, 1, 0.2? 0.2 Let m be (1 + (18 - 3))*1. Let w = -17 + m. What is the second biggest value in 5, w, 4? 4 Let n = -1063/9 - -118. What is the third biggest value in n, -5, 1/3? -5 Let z be ((-6)/(-8) - 2)*(-1)/(-1). What is the fourth smallest value in 0.3, 5, z, -2? 5 Let r be -7 + 4 + (-13)/(-3). Let d be (-4)/(-10) + (-1071)/2640. Let s = -375/4048 - d. What is the second biggest value in s, 0.2, r? 0.2 Let h = -34.7 + 35. What is the third biggest value in 3/7, h, 4? h Let z = 2/47 + 41/141. Let l = 4 - 1. Which is the third smallest value? (a) l (b) z (c) -1 a Let t be (-5)/2 - 65/(-10). Let u = 0.2 - 0.2. What is the third biggest value in u, -4, t? -4 Let f = 9 + -6. Let o = f - 2.5. What is the third biggest value in -1/10, o, 2? -1/10 Let t = -5 - -6. Let g = t - 0.4. Let c = -0.3 + g. What is the third smallest value in 3, -4, c? 3 Let q = 220 + -2199/10. Let y = 1/34 + -107/170. Which is the third biggest value? (a) q (b) 4 (c) y c Let s = 14 + -15. Let d = -0.9 - s. What is the third biggest value in -0.01, 0.2, d? -0.01 Let o = -0.28 - -3.28. Which is the second smallest value? (a) o (b) -0.3 (c) -2 (d) 2 b Let s = -6/53 + 172/583. Let y = 16
{ "pile_set_name": "DM Mathematics" }
86875951 Calculate -26792463 divided by -86707. 309 318866119 divided by 5 318866119/5 Divide 1263635512 by -4. -315908878 What is -7648517 divided by 42257? -181 Calculate 164003473 divided by -105877. -1549 -239937936 divided by -1032 232498 Calculate -2172174 divided by -2. 1086087 -11072520 divided by 40 -276813 Divide -7182656 by -276256. 26 -19404540 divided by -9702270 2 Calculate -2 divided by -17174565. 2/17174565 Divide -4 by 48015672. -1/12003918 What is -332 divided by -549567? 332/549567 Calculate 187824956 divided by 44. 4268749 29474 divided by 839 29474/839 Divide 5 by -12092823. -5/12092823 Calculate -780749 divided by -6. 780749/6 What is -5525768 divided by -1? 5525768 4061761 divided by 11 369251 Calculate 2 divided by -11659175. -2/11659175 -2391358 divided by 78 -1195679/39 Calculate -254934068 divided by 99119. -2572 Calculate -39008829 divided by 2294637. -17 Divide -22 by 3455025. -22/3455025 2 divided by -1127753 -2/1127753 Divide -136842804 by 1. -136842804 Divide -444 by 226027. -444/226027 What is -27608952 divided by 4143? -6664 What is -6917900 divided by -1383580? 5 Divide 7736922 by -2. -3868461 Divide 830871744 by 8. 103858968 59517250 divided by 457825 130 Calculate 5031624 divided by 26. 193524 What is -9467 divided by -972? 9467/972 Calculate 133 divided by -164860. -133/164860 288352053 divided by -321 -898293 Divide 3006130 by -6. -1503065/3 Divide 2698189 by -18. -2698189/18 -234873 divided by -234873 1 Calculate 60216156 divided by 18381. 3276 183200836 divided by -538 -340522 -2444446 divided by -40 1222223/20 Calculate -163760927 divided by 402361. -407 Calculate -1940421 divided by 6. -646807/2 -2138 divided by 17172 -1069/8586 What is 1574819 divided by -113? -1574819/113 What is -56817999 divided by 6? -18939333/2 Divide -6 by 13000220. -3/6500110 573561888 divided by 6 95593648 Calculate 9867572 divided by 23. 9867572/23 Divide -222550460 by -367852. 605 Calculate -4878686 divided by 17. -4878686/17 Divide 2 by -960961. -2/960961 Divide -7228777 by 1. -7228777 Divide -1235 by -9625. 247/1925 -76354345 divided by -4 76354345/4 What is 65645111 divided by 1112629? 59 12897969 divided by 623 20703 Divide -3262843 by -25. 3262843/25 -24058457 divided by -43 559499 What is -1799824188 divided by -4? 449956047 1103854747 divided by 4 1103854747/4 Divide 203794122 by -33965687. -6 What is 2602 divided by 20747? 2602/20747 What is 484011 divided by -14667? -33 What is 1041 divided by 1349? 1041/1349 77785782 divided by -2 -38892891 Calculate 2289208 divided by -31. -2289208/31 -1070629450 divided by -2495 429110 Calculate 395 divided by -9007. -395/9007 Calculate 508168254 divided by 2. 254084127 -4766 divided by -1208 2383/604 Calculate 327810 divided by 2. 163905 -23843340 divided by -6 3973890 Divide 8941282 by -8941282. -1 What is 1253333 divided by 1253333? 1 Divide 52439113 by -52439113. -1 -43 divided by -3244584 43/3244584 Calculate -678234 divided by -1. 678234 Divide -2408049 by -7. 344007 Divide -8443980 by 190. -44442 Calculate 4953924 divided by 713. 6948 Divide -115702788 by 186. -622058 29471139 divided by -1977 -14907 What is -16943 divided by -58297? 16943/58297 What is -4 divided by 7834120? -1/1958530 Calculate -33918 divided by -8575. 33918/8575 Divide 64263672 by 5355306. 12 -339 divided by 314331 -113/104777 -16742524 divided by 1 -16742524 What is -49111074 divided by 2? -24555537 Divide -399631554 by -6489. 61586 What is -1938767 divided by -1? 1938767 Divide 20809807 by -43. -483949 What is -96 divided by 6382562? -48/3191281 What is 232 divided by 192368? 29/24046 Divide 11664960 by -100560. -116 Divide -316955 by -121. 316955/121 Calculate -43422632 divided by 2. -21711316 Calculate -57888964 divided by -14. 4134926 Calculate 7 divided by 363841. 7/363841 What is -35257832 divided by 35257832? -1 -1065491300 divided by -5 213098260 Divide -13073862 by 2178977. -6 Divide -7167990 by 10110. -709 Calculate -11408682 divided by 3802894. -3 173404620 divided by -3 -57801540 23119362 divided by 9 2568818 0 divided by -35713555 0 Divide 7424544 by 39. 2474848/13 Calculate -251545450 divided by -773986. 325 5259500 divided by 21038 250 -322500165 divided by 39 -8269235 Divide 394346 by -157. -394346/157 What is -34338492 divided by 953847? -36 -32596776 divided by -2748 11862 25 divided by 236743 25/236743 94702700 divided by -18940540 -5 What is 1 divided by -112178122? -1/112178122 19982960 divided by -46472 -430 Divide -419618 by 261. -419618/261 -4159518 divided by -4066 1023 -28819641 divided by -6033 4777 What is 0 divided by -29794537? 0 Calculate 183821022 divided by -726. -253197 107 divided by -324513 -107/324513 259703010 divided by -10269 -25290 What is -1492842 divided by -1? 1492842 Calculate -43470736 divided by -4. 10867684 Divide -458288536 by -114572134. 4 Calculate 4 divided by 3957983. 4/3957983 Divide -38793261 by 1. -38793261 Calculate -805871923 divided by 67943. -11861 What is -6188148 divided by 81423? -76 What is -124666 divided by 520? -62333/260 1525436 divided by -762718 -2 -1211059 divided by -580 1211059/580 What is -265646338 divided by -61? 4354858 4689 divided by -48280 -4689/48280 What is -1322 divided by 8983? -1322/8983 396411780 divided by -820 -483429 -142766 divided by 106 -71383/53 Divide 297311238 by 9. 33034582 Divide -210494102 by -833. 252694 What is 157608542 divided by -8047? -19586 Calculate 4401311 divided by 149. 29539 Calculate -59952396 divided by 295332. -203 Calculate -5626368 divided by -170496. 33 What is 1 divided by 61125334? 1/61125334 What is 2928060 divided by 1464030? 2 -16471772 divided by 19 -16471772/19 Divide -183917500 by -565900. 325 Calculate -51986496 divided by 541526. -96 What is -1 divided by 5231057? -1/5231057 Divide -27 by 975367. -27/975367 5266080 divided by 2633040 2 Divide 17023 by -1586. -17023/1586 Calculate 15843 divided by 170. 15843/170 Calculate -14382747 divided by 417. -34491 -17835650 divided by -101918 175 What is -733951656 divided by -2721? 269736 What is 14140725 divided by -6? -4713575/2 -11929422 divided by 6 -1988237 Calculate -13981574 divided by 21. -13981574/21 103718720 divided by -20 -5185936 What is -77154309 divided by 11? -77154309/11 What is -9 divided by -4465852? 9/4465852 Calculate -8168928 divided by -24. 340372 Calculate 9689796 divided by 669. 14484 Calculate 376264130 divided by 3420583. 110 Divide 16602516 by 592947. 28 Calculate -2699840 divided by -1534. 1760 Calculate 547270400 divided by -800. -684088 33167650 divided by -33167650 -1 19377228 divided by -372639 -52 What is -20 divided by -9592918? 10/4796459 What is 5843376 divided by 4743? 1232 What is -62 divided by -119375? 62/119375 Calculate -5 divided by -8173432. 5/8173432 -43690994 divided by 1065634 -41 Divide 5740434 by 406. 14139 Calculate 79661022 divided by 8331. 9562 Calculate -35455392 divided by 2954616. -12 Divide 2818845 by -563769. -5 Calculate 94084577 divided by 2. 94084577/2 Calculate 1625806 divided by 10. 812903/5 What is -125014570 divided by -125014570? 1 -305 divided by -35357 305/35357 0 divided by 13971345 0 340 divided by -228785 -68/45757 Divide 3068360 by -76709. -40 Divide -42102000 by -4678000. 9 What is 60 divided by -216612? -5/18051 What is 222706380 divided by -14847092? -15 What is 87505201 divided by -1? -87505201 Calculate -4656990 divided by -776165. 6 What is -7212 divided by -6180? 601/515 What is -165092208 divided by 48? -3439421 Calculate -7 divided by -256201. 7/256201 Calculate 3309430 divided by 330943. 10 Divide -388 by -677009. 388/677009 Divide -12289464 by 792. -15517 Calculate -2223 divided by -6705. 247/745 -758386 divided by -21 758386/21 What is -6539184 divided by 12? -544932 Calculate 3 divided by -9047953. -3/9047953 What is 67161744 divided by 156? 430524 Divide 10941746 by -69. -10941746/69 Divide -34976 by 1110. -17488/555 Calculate -3 divided by 145460. -3/145460 What is 16989503 divided by 109? 155867 Calculate -37712620 divided by 857105. -44 Divide 4223 by -7448. -4223/7448 What is 14 divided by 164682? 1/11763 -2 divided by -7738992 1/3869496 What is 3170138 divided by 78? 1585069/39 Divide 3 by 243948. 1/81316 Divide -40082 by -49. 818 -206 divide
{ "pile_set_name": "DM Mathematics" }
hat is the highest common factor of 10 and z? 5 Let g be 1/(-5)*(-19 + -46). What is the highest common factor of g and 2249? 13 Suppose -7*a - 17 = 53. Let u be (-96)/a + (-6)/10. Let r(p) = p**3 + 7*p**2 - 6*p - 9. Let w be r(-6). What is the greatest common divisor of w and u? 9 Let i be 20 + (2/(-5)*-5 - 1). Let u be (3 + -2)/(3/93). Let p be -1 - -8*(u - 2). What is the highest common factor of i and p? 21 Let c = 14 - -22. Suppose -288 - 1440 = -27*r. Let n = r + -4. Calculate the greatest common divisor of n and c. 12 Let b be 21/(-7)*(-1 + 278). Let k be b/(-7) - (-2)/7. Calculate the highest common divisor of 102 and k. 17 Let w be 2218972/35308 + 3/((-78)/(-4)). Calculate the greatest common divisor of w and 2177. 7 Let o(j) = 84*j**2 - 2*j + 1. Let x be o(1). Suppose 1040 = -47*u + 34*u. Let z = x + u. What is the highest common divisor of z and 1? 1 Suppose 3*n + 0*n - 175 = v, -n = 5*v - 53. Let o(d) = d + 38. Let z = 17 - 26. Let u be o(z). What is the highest common factor of n and u? 29 Let i be (1104/(-40))/((6/10)/((-6)/4)). What is the greatest common divisor of 13110 and i? 69 Let a be ((368/(-56))/(-23))/((-1)/(-189)*3). What is the highest common factor of 11106 and a? 18 Suppose 3*w = -4*y + 207, 0*w - 3*y - 276 = -4*w. Suppose 26*i + w = 23*i. Let j(q) = -12*q - 1. Let v be j(i). What is the greatest common divisor of v and 55? 55 Let m = 1497 + -1077. What is the greatest common divisor of m and 252? 84 Let z(t) = -5*t**3 + t**2 - 1. Let m be z(-1). Let g(s) = -1204 - 4*s + 2*s**2 - 3*s + 1189. Let j be g(-4). Calculate the greatest common divisor of m and j. 5 Let t(h) = 13*h**3 + 2*h**2 + 12*h - 28. Let l be t(2). Suppose 113*y = l*y + 550. What is the highest common divisor of 55 and y? 55 Let f(b) = 48*b - 134. Let u be f(3). Let t be 1530/12 - 15/u. Calculate the greatest common factor of 36 and t. 18 Suppose -137 - 281 + 132 = -13*a. What is the greatest common divisor of a and 11264? 22 Suppose -16*n + 12*n + 120 = -4*w, -10*n + w = -345. What is the highest common factor of n and 6930? 35 Let u(h) = -h**3 + 20*h**2 - 27*h + 28. Let i be u(14). What is the highest common divisor of i and 70? 14 Let j = 837 + -817. Suppose 9*g + 2 - j = 0. What is the highest common divisor of g and 38? 2 Suppose 33*v = 4312 + 16313. Suppose -12*n + 13*n = 25. Calculate the highest common divisor of v and n. 25 Let u(g) = -g**3 + 14*g**2 - 15*g + 29. Let n be u(13). Suppose -4*f = -2*a + 158, 91 = a - n*f + 10. What is the highest common divisor of a and 100? 25 Let s be (10/(-4))/(3/(-186)). Suppose -5*z = -0*z - s. Suppose -30 = -4*j - 2*u - u, 0 = -3*j + 2*u + z. Calculate the highest common divisor of j and 3. 3 Let s = -224 - -237. Suppose -3*y - 54 = -5*q, 3*q - s - 8 = -2*y. What is the highest common factor of 225 and q? 9 Suppose 6*z + 832 = 922. Suppose w + 10*g - 12 = z*g, -w - 4*g = -48. Calculate the greatest common divisor of 544 and w. 32 Suppose t = 2*i - 42, -76 = -6*i + 3*i - 5*t. Suppose 2*a + 14 = 42. Suppose -a*o + 84 = -2688. Calculate the greatest common factor of i and o. 22 Let u = -602 + 653. Calculate the greatest common factor of 18258 and u. 51 Suppose -22*h + 30339 = -645237. What is the greatest common factor of h and 24? 12 Suppose -353*y = -348*y - 5640. Calculate the greatest common factor of 24 and y. 24 Let f(j) = 3*j**2 - 8*j + 8. Let b be f(6). Let c = -70 + b. Let v(s) = -22*s + 8. Let h be v(c). Calculate the greatest common factor of h and 4. 4 Let a be (-2082)/13 - (-6)/39. Let k = a + 167. Suppose 5*g - 41 - 99 = 0. What is the highest common factor of k and g? 7 Suppose 5*s - 30 = -4*v, -2*s + 48 = -78*v + 82*v. Let y(j) = j**3 + 9*j**2 + 6*j + 5. Let f be y(-8). Calculate the highest common divisor of f and v. 3 Let y(k) = -5*k + 375. Let t be y(-3). What is the greatest common divisor of t and 510? 30 Let s = 308 - 140. Let b be 2/(-5 + 0 + 4). Let u be (0 - -1)*7*(b - -8). What is the highest common divisor of u and s? 42 Let b = 163 - -264. Suppose 2*u + 21 = -5*g + b, 0 = -g - 2*u + 86. Calculate the greatest common factor of 24 and g. 8 Let i(z) = -2*z - 3. Let u be i(-10). Let s = 40 - u. Suppose 0 = -7*b + 1650 - 523. Calculate the highest common divisor of s and b. 23 Let r be -612*-16*2/12. Suppose 5*h + 22*b = 23*b + 123, -b = -2*h + 51. Calculate the highest common factor of r and h. 24 Let t = -24 - 14. Let w = t + 32. Let y be -561*(13 + -15)*(-1)/w. Calculate the greatest common factor of y and 17. 17 Let w(j) = 197*j**3 + 2*j**2 - j. Let a(c) = -c - 10. Let q be a(-11). Let b be w(q). Let i = 179 - 161. Calculate the highest common factor of b and i. 18 Let s = 15575 - 7490. What is the highest common factor of s and 165? 165 Suppose 0 = o - 3*y - 4705, -23425 = 53*o - 58*o - 5*y. Calculate the greatest common divisor of 126 and o. 14 Let w be 7 + ((-28)/(-7) - 3). Suppose 0 = -22*m + w*m + 1232. Calculate the highest common factor of m and 110. 22 Let k be -200*((-40)/(-4) - 790/8). Calculate the greatest common factor of k and 142. 142 Let w(q) = 539*q + 851. Let v be w(16). What is the highest common factor of v and 50? 25 Suppose -40 = -2*z - 4*w, 1847*w = 3*z + 1842*w - 16. Calculate the highest common factor of 28860 and z. 12 Let q(d) = 151*d + 3634. Let o be q(-24). Suppose 0*u - u + 30 = 0. What is the greatest common factor of u and o? 10 Let p be (4/5)/((-49)/(-3841845)). Let b be (-13 - p/(-132)) + (-2)/11. Calculate the greatest common divisor of 28 and b. 14 Suppose 0 = -81*i + 65*i + 6576. What is the greatest common factor of i and 2603? 137 Let i = -94 + 116. Suppose 0 = -24*h + 23*h + i. Suppose 4*t - 6*c - 161 = -3*c, 4*t - 4*c = 156. What is the greatest common divisor of t and h? 22 Let i be 18/(-4)*32/(-12). Let u = i - -12. Let x = -190 + 310. Calculate the greatest common divisor of x and u. 24 Suppose 0 = -3*w + 29 + 64. Suppose -36*r + 40*r - 5308 = 2*p, r - 4*p - 1285 = 0. What is the greatest common factor of r and w? 31 Let n = 1 - 4. Let b be (1 - n) + (-944)/(-2). Suppose -8*p + b = -28. Calculate the greatest common factor of 7 and p. 7 Let u = 139 + -135. Suppose 0*j = u*j - 5*z - 175, 0 = -2*j - 3*z + 93. Suppose 2*i - 3*i = -j. Calculate the highest common factor of 27 and i. 9 Suppose -4*p = 18 - 54. Suppose 5*x + 16 = x. Let b be (-2)/x + (-33)/(-66). Calculate the highest common factor of p and b. 1 Let w = 77 - 77. Let g(c) = c**3 - c**2 - c + 9. Let p be g(w). Let l be (-2)/(-9) + 0 + 196/p. Calculate the highest common divisor of l and 198. 22 Suppose 0 = 5*g - 10 - 5. Suppose 2*w - 2*n - 30 = 0, 24*n - 26*n = 4*w - 66. Calculate the highest common divisor of g and w. 1 Suppose -65 = -4*u - 709. Let f = 189 + u. Calculate the highest common factor of 140 and f. 28 Let n be 1/((-15)/10)*30/(-4). Let j be (-15)/6*2/(-5). Let w be (2 - (3 + j)) + 22. Calculate the highest common factor of w and n. 5 Suppose -48*c + 311 + 553 = 0. Calculate the highest common factor of c and 219. 3 Let s = -99 - -100. Suppose -3*n = r - 12, 6*r - s = 8*r + n. Let d be (774/3)/6 + r/3. Calculate the greatest common divisor of 14 and d. 14 Let w = 254 - 164. Suppose -9*s + 62 = -262. What is the highest common factor of w and s? 18 Let y(q) = 5*q - 31. Suppose -v = -13 + 6. Let b be y(v). Suppose -b*g = -47 + 3. Calculate the highest common factor of g and 11. 11 Let w(a) = -4*a - 9*a - 16 + 11*a. Let p = -33 - -9. Let v be w(p). Calculate the greatest common factor of 4 and v. 4 Suppose t - 116 = -3*g + 12, t = -2*g + 86. Suppose 8*b - 29 = 19. What is the greatest common divisor of b and g? 6 Let h(s) = -2*s**3 + 10*s**2 + 54*s + 19. Let l be h(-3). Let p(f) = -f**3 - 3*f**2 + 6*f + 3. Let w be p(-5). Calculate the highest common factor of l and w. 1 Let i(a) = -55*a - 965. Let d be i(-41). What is the highest common factor of d and 60? 30 Let m = 10855 + -7391. What is the greatest common factor of m and 8? 8 Let x = 99 - -2. Let k = 106 - x. Suppose -4*m = 5*a - 170, -2*m - 92 = -4*m + a. Calculate the highest common factor of m and k. 5 Let d be (-174)/116*(-1968)/9. What is the greatest common factor of 16 and d? 8 Suppose 0*s = 2*s - 92. Let d be 240/(-14) + 6*(-5)/(-210). Let n = d + 132. What is the greatest common factor of n and s? 23 Su
{ "pile_set_name": "DM Mathematics" }
re between 10:59 AM and 6:23 PM? 444 What is 323 minutes before 9:34 AM? 4:11 AM How many minutes are there between 1:33 AM and 11:43 AM? 610 What is 609 minutes after 12:14 PM? 10:23 PM What is 609 minutes after 6:45 PM? 4:54 AM What is 595 minutes before 8:25 AM? 10:30 PM How many minutes are there between 9:39 PM and 3:51 AM? 372 How many minutes are there between 7:56 PM and 1:18 AM? 322 How many minutes are there between 5:25 AM and 8:05 AM? 160 What is 48 minutes before 6:28 AM? 5:40 AM What is 705 minutes after 6:44 AM? 6:29 PM What is 405 minutes before 11:58 AM? 5:13 AM What is 49 minutes before 1:09 PM? 12:20 PM How many minutes are there between 4:32 PM and 7:07 PM? 155 What is 691 minutes after 3:25 PM? 2:56 AM How many minutes are there between 11:17 AM and 11:29 AM? 12 How many minutes are there between 5:59 PM and 4:09 AM? 610 What is 203 minutes before 7:18 PM? 3:55 PM What is 92 minutes after 7:25 PM? 8:57 PM How many minutes are there between 8:28 AM and 12:28 PM? 240 How many minutes are there between 6:41 PM and 7:37 PM? 56 How many minutes are there between 11:26 AM and 12:17 PM? 51 How many minutes are there between 12:13 AM and 7:52 AM? 459 What is 166 minutes after 6:42 PM? 9:28 PM What is 472 minutes after 8:31 AM? 4:23 PM How many minutes are there between 9:37 AM and 4:49 PM? 432 How many minutes are there between 11:07 AM and 8:06 PM? 539 What is 266 minutes after 7:20 PM? 11:46 PM How many minutes are there between 7:18 AM and 6:04 PM? 646 How many minutes are there between 1:22 AM and 12:06 PM? 644 What is 255 minutes before 1:37 AM? 9:22 PM How many minutes are there between 4:32 PM and 4:44 PM? 12 How many minutes are there between 1:40 AM and 5:11 AM? 211 What is 680 minutes before 6:19 PM? 6:59 AM What is 244 minutes before 9:34 AM? 5:30 AM What is 289 minutes before 8:16 PM? 3:27 PM How many minutes are there between 8:32 AM and 10:22 AM? 110 What is 102 minutes after 4:00 PM? 5:42 PM How many minutes are there between 4:50 AM and 5:29 AM? 39 What is 570 minutes before 7:13 AM? 9:43 PM How many minutes are there between 11:59 PM and 5:12 AM? 313 What is 264 minutes after 4:37 PM? 9:01 PM What is 53 minutes before 9:42 AM? 8:49 AM What is 448 minutes after 6:15 PM? 1:43 AM How many minutes are there between 9:05 AM and 11:30 AM? 145 What is 197 minutes after 3:42 AM? 6:59 AM How many minutes are there between 9:47 PM and 6:03 AM? 496 How many minutes are there between 3:25 PM and 4:25 PM? 60 What is 553 minutes after 1:14 AM? 10:27 AM How many minutes are there between 5:53 AM and 4:34 PM? 641 How many minutes are there between 1:14 AM and 1:33 AM? 19 What is 25 minutes before 6:49 AM? 6:24 AM What is 203 minutes after 4:27 PM? 7:50 PM How many minutes are there between 1:07 AM and 10:56 AM? 589 How many minutes are there between 7:53 AM and 10:38 AM? 165 What is 644 minutes before 6:01 AM? 7:17 PM What is 152 minutes after 1:42 AM? 4:14 AM How many minutes are there between 1:37 PM and 6:11 PM? 274 What is 295 minutes after 8:56 AM? 1:51 PM How many minutes are there between 11:26 AM and 7:16 PM? 470 What is 264 minutes before 1:35 AM? 9:11 PM What is 578 minutes after 3:18 PM? 12:56 AM How many minutes are there between 4:15 PM and 10:49 PM? 394 What is 646 minutes before 12:48 AM? 2:02 PM How many minutes are there between 11:41 PM and 12:01 AM? 20 How many minutes are there between 12:16 AM and 10:28 AM? 612 What is 372 minutes after 8:06 AM? 2:18 PM What is 317 minutes before 2:57 PM? 9:40 AM What is 402 minutes before 9:55 PM? 3:13 PM How many minutes are there between 8:12 PM and 7:58 AM? 706 What is 491 minutes before 11:39 AM? 3:28 AM How many minutes are there between 4:39 AM and 5:33 AM? 54 What is 305 minutes before 10:46 PM? 5:41 PM What is 394 minutes before 8:04 PM? 1:30 PM What is 38 minutes after 3:28 PM? 4:06 PM What is 581 minutes before 10:44 PM? 1:03 PM What is 595 minutes before 4:18 PM? 6:23 AM How many minutes are there between 9:54 AM and 6:53 PM? 539 What is 631 minutes after 4:54 AM? 3:25 PM How many minutes are there between 10:39 PM and 7:56 AM? 557 What is 677 minutes after 4:34 PM? 3:51 AM What is 317 minutes before 8:42 PM? 3:25 PM How many minutes are there between 9:41 AM and 6:31 PM? 530 How many minutes are there between 7:44 AM and 12:39 PM? 295 How many minutes are there between 8:05 AM and 9:48 AM? 103 What is 231 minutes after 8:58 PM? 12:49 AM What is 130 minutes before 7:33 AM? 5:23 AM How many minutes are there between 7:39 AM and 2:13 PM? 394 What is 708 minutes after 12:30 AM? 12:18 PM What is 367 minutes before 10:39 PM? 4:32 PM How many minutes are there between 6:15 AM and 1:01 PM? 406 What is 144 minutes before 5:17 AM? 2:53 AM How many minutes are there between 3:50 AM and 8:01 AM? 251 What is 644 minutes after 9:27 AM? 8:11 PM What is 56 minutes after 10:30 PM? 11:26 PM How many minutes are there between 6:25 AM and 3:44 PM? 559 What is 324 minutes after 11:07 PM? 4:31 AM How many minutes are there between 10:52 PM and 6:40 AM? 468 How many minutes are there between 7:43 PM and 2:10 AM? 387 What is 387 minutes after 11:34 PM? 6:01 AM What is 345 minutes before 12:43 PM? 6:58 AM How many minutes are there between 11:24 AM and 8:42 PM? 558 How many minutes are there between 5:32 PM and 7:09 PM? 97 What is 51 minutes after 7:52 PM? 8:43 PM How many minutes are there between 4:21 AM and 1:49 PM? 568 How many minutes are there between 7:56 PM and 8:52 PM? 56 What is 706 minutes after 5:49 PM? 5:35 AM How many minutes are there between 6:05 PM and 4:23 AM? 618 What is 305 minutes after 4:56 PM? 10:01 PM What is 155 minutes before 9:40 PM? 7:05 PM How many minutes are there between 7:47 PM and 2:28 AM? 401 What is 526 minutes before 3:58 AM? 7:12 PM What is 176 minutes after 2:37 PM? 5:33 PM What is 374 minutes after 6:06 AM? 12:20 PM What is 687 minutes before 2:36 PM? 3:09 AM What is 374 minutes after 8:02 PM? 2:16 AM How many minutes are there between 4:32 AM and 2:57 PM? 625 How many minutes are there between 9:08 AM and 6:40 PM? 572 How many minutes are there between 11:59 AM and 2:31 PM? 152 How many minutes are there between 1:31 PM and 12:01 AM? 630 How many minutes are there between 1:37 PM and 8:46 PM? 429 What is 491 minutes after 12:58 PM? 9:09 PM What is 627 minutes after 8:04 PM? 6:31 AM How many minutes are there between 2:59 AM and 1:16 PM? 617 What is 300 minutes after 5:27 PM? 10:27 PM What is 128 minutes before 3:11 PM? 1:03 PM How many minutes are there between 11:01 PM and 1:48 AM? 167 How many minutes are there between 8:02 AM and 8:52 AM? 50 How many minutes are there between 12:26 AM and 6:42 AM? 376 What is 274 minutes after 1:09 PM? 5:43 PM What is 689 minutes after 12:17 AM? 11:46 AM How many minutes are there between 5:42 AM and 8:56 AM? 194 How many minutes are there between 5:01 AM and 8:05 AM? 184 How many minutes are there between 6:41 AM and 2:24 PM? 463 What is 630 minutes before 7:08 PM? 8:38 AM How many minutes are there between 1:50 PM and 2:29 PM? 39 What is 59 minutes before 7:18 AM? 6:19 AM What is 676 minutes after 5:19 AM? 4:35 PM What is 92 minutes after 10:53 PM? 12:25 AM How many minutes are there between 9:16 AM and 5:37 PM? 501 How many minutes are there between 1:09 PM and 2:53 PM? 104 What is 235 minutes after 2:43 AM? 6:38 AM What is 324 minutes before 1:34 PM? 8:10 AM What is 211 minutes before 10:52 AM? 7:21 AM What is 48 minutes before 11:12 AM? 10:24 AM What is 508 minutes after 6:49 PM? 3:17 AM How many minutes are there between 5:15 PM and 6:05 PM? 50 How many minutes are there between 5:05 PM and 3:21 AM? 616 How many minutes are there between 9:36 AM and 10:15 AM? 39 How many minutes are there between 9:05 PM and 6:50 AM? 585 How many minutes are there between 7:44 AM and 5:30 PM? 586 What is 576 minutes before 1:01 AM? 3:25 PM What is 634 minutes before 3:16 AM? 4:42 PM What is 459 minutes before 10:07 AM? 2:28 AM How many minutes are there between 8:07 PM and 3:40 AM? 453 What is 402 minutes before 6:13 AM? 11:31 PM What is 296 minutes before 1:21 AM? 8:25 PM How many minutes are there between 10:21 PM and 10:27 PM? 6 How many minutes are there between 12:20 AM and 1:58 AM? 98 How many minutes are there
{ "pile_set_name": "DM Mathematics" }
be (-39)/(-9) + (-4)/(-6). Suppose -5 = -h*d + 5. Solve 0 = -d*f + 4 + 4 for f. 4 Let t = 15 - 13. Solve 4*s - 2 = t for s. 1 Let r(j) = -2*j - 7. Let q be (-6)/9 + 32/(-6). Let h be r(q). Let x = h + -5. Solve 2*o - 2 = -x for o. 1 Let f = -4 - -4. Let y be f - (-6 - 2/(-1)). Solve -4*z + 5*z = -y for z. -4 Let x(q) = q**2 - 9*q - 4. Let o be x(9). Let t(r) = -2*r - 6. Let a be t(o). Solve 1 = a*m - 1 for m. 1 Let h = 15 - 13. Solve 7 = -h*r - 3 for r. -5 Suppose -9*x + 88 = -20. Solve x = -2*v + 2 for v. -5 Let t(r) = -r - 4. Let x be t(-8). Suppose 2*y = -4*s - 4, -3*s - x = -2*y + s. Solve y = -4*h + 2*h for h. 0 Let a(h) = -4*h + 55. Let o be a(11). Let f(w) = w + 6. Let u(i) = i + 6. Let x(d) = -4*f(d) + 5*u(d). Let b be x(-6). Solve 4*v + o + 9 = b for v. -5 Suppose -3*p + 4 = -2*p - 2*j, -5*j = -3*p + 9. Let h be (3/6)/(p/(-12)). Suppose h*z = -z. Solve 2*n - 4 - 6 = z for n. 5 Let w be ((-2)/5)/1*-5. Let b = -1 + 2. Let u = 3 - b. Solve u*t = -w*t for t. 0 Let f be (-4)/(-26) + (-252)/(-52) + -2. Solve q - 2*q = f for q. -3 Let q = 29 - 29. Let s(z) = 24*z**3 + 2*z**2 - z. Let i be s(1). Solve i = 5*b - q*b for b. 5 Let s(k) = k**3 + 12*k**2 - 14*k - 9. Let x be s(-13). Suppose -o + 2 = 0, 5*t + x*o = -0*o + 13. Solve c + t - 2 = 0 for c. 1 Let p(v) = -v**2 + 6. Let t be p(0). Suppose t*h - 4*h = 2. Solve 0 = -3*f + 16 - h for f. 5 Let q = -17 + 19. Solve 3*r - q = -14 for r. -4 Let a = 10 + -6. Suppose -2*x + 1 = -1, 0 = -a*r - 3*x + 27. Solve -r = -0*b - 3*b for b. 2 Let n(w) = -2*w - 6. Let i be n(-4). Let f be (4 - 2 - i)/1. Let k = -4 + 4. Solve t - 2 + k = f for t. 2 Let t be ((-20)/(-15))/((-12)/(-18)). Solve -4 = t*x - 12 for x. 4 Let s be 27/4 + (-27)/36. Suppose 2*a + v = -2, 0 = a - 6*a + 3*v + s. Solve -2*c - c + 15 = a for c. 5 Suppose 5*p + 11 = 36. Let h(g) = -g + 1. Let l be h(2). Let q = l - -12. Solve -p*a - 1 = -q for a. 2 Suppose 4*v - 4 + 0 = q, 4*q = -5*v + 5. Solve q*f = 5*f - 25 for f. 5 Let a be 18/5 - 2/(-5). Let q = a - 4. Solve 3*m = -q*m for m. 0 Let b(r) = -r**3 - 8*r**2 - 5*r - 4. Let t be b(-8). Suppose -p - x + t = 4*p, p - 2*x = 16. Let n = -1 - -1. Solve n*u - p = 2*u for u. -4 Suppose 1 + 4 = -m, -5*c + 20 = 3*m. Suppose c*b - 66 = b. Solve 2*p = -3 + b for p. 4 Suppose -2*o = 3*o - 15. Suppose 0 = 2*u - 5*n - 48, 8 = o*n - 5*n. Suppose -5*q + 6 = -u. Solve 0*f + q*f = -16 for f. -4 Suppose -4*u - 33 = 5*n, -3*n = 5*u - 0*n + 38. Let x = u - -7. Solve x = 2*r + 2*r - 16 for r. 4 Let b be 1/(-2) + 6/4. Let c(m) = -m**2 + 9*m + 6. Let i be c(9). Let n be (-87)/(-27) - i/27. Solve -b + n = y for y. 2 Let c(k) = k**3 + 5*k**2 - 3*k. Let q be c(-5). Solve -5*o - 10 - q = 0 for o. -5 Suppose -35*y + 38*y - 6 = 0. Solve y*l - 3*l = 0 for l. 0 Suppose 15*s + 0*s = 30. Solve 0*y - s*y - 6 = 0 for y. -3 Let q(h) = -h + 2. Let m be q(0). Suppose m*d + 3 = 9. Solve d = 5*i - 2 for i. 1 Suppose -3 - 1 = -4*q. Suppose -17 = 4*b - p, 7*p - 25 = 2*p. Let d be q/1 + b/(-3). Solve 0 = -d*x + 2 + 6 for x. 4 Let w(p) = p**2 - 10*p - 9. Let o be w(10). Let x = o - -11. Solve -x*b = -5 - 5 for b. 5 Let v = 5 - 1. Solve -v*w = 3 - 19 for w. 4 Let i(n) = -n - 2. Let v be i(-2). Let u = -5 - -7. Solve -u*h + 1 - 5 = v for h. -2 Let y(u) = -u**2 - 3*u + 2. Let d be y(-3). Solve c - d*c = -4 for c. 4 Let t(u) = -4*u - 1. Suppose 3*k + 2*j - 8 = -2*j, -4*k + 2*j = 26. Let y be t(k). Solve o + 2*o - y = 0 for o. 5 Let m(w) = -w**3 - 8*w**2 + w + 11. Let p be m(-8). Solve 4*y = p*y for y. 0 Let o be (-1)/(-4) + (-2)/8. Suppose -p + o*n + n + 2 = 0, 2*p + n - 13 = 0. Solve p = -4*c - 7 for c. -3 Suppose -s = w - 4*w + 12, 0 = 4*w + 4*s. Solve -w*a - a + 8 = 0 for a. 2 Let u(r) = -r**3 + 8*r**2 - 8*r + 9. Let b = 5 + 2. Let i be u(b). Suppose -a = i - 5. Solve a = 3*z + 6 for z. -1 Let p = -19 + 44. Solve -p = -5*y - 0*y for y. 5 Suppose 13 = -5*r - 7. Let g(t) = t**3 + 4*t**2 - 2*t + 4. Let f be g(r). Solve w = -3*w - f for w. -3 Suppose l = 2*s - 2*l - 20, -2*s + 4*l = -24. Solve 5*n = s*n for n. 0 Suppose -2*v + 4*t - 6 = -0*t, 0 = v + 2*t - 17. Solve 2*i + 20 = v*i for i. 4 Suppose -5*q + 12 = -q - a, -4*q = -3*a - 12. Solve q*u = -u + 20 for u. 5 Let d be (0 - (2 + -18)) + (-2)/2. Solve 4*w + w - d = 0 for w. 3 Let i = -197 - -208. Solve i*q = 7*q - 20 for q. -5 Let m be -2 - ((-48)/30)/(4/10). Solve -m = -0*n - n for n. 2 Let f be 0 + (0 - -2 - 2). Suppose f = 5*s - 0 - 15. Solve s*w + 12 = -3 for w. -5 Suppose 0 = -0*j + 4*j + 44. Let n = -8 - j. Solve n*h = h - 6 for h. -3 Let u(a) be the first derivative of -a**4/4 + a**3 + 2*a - 1. Let x = -20 - -23. Let s be u(x). Solve s*n = n + 1 for n. 1 Suppose -100 = 3*r + r. Let m be (-15)/r - 3/5. Solve m = 2*h - 10 for h. 5 Suppose -3*u = u + 40. Let p be (-1 - u/4)*2. Solve 2*o + o = p for o. 1 Let q = 93 - 92. Solve m = -3 - q for m. -4 Suppose 6 = -0*o + 2*o. Suppose d = l + o, -d + 2 = -4*l + 5. Suppose -j - 4 = 0, 4*z - 5*j - 4 = 32. Solve -z*t = -l*t for t. 0 Let h(y) = -6*y - 2. Let z be h(3). Let a be 32/10 + 4/z. Solve 2*c + a = 5*c for c. 1 Suppose 0 = 53*c - 54*c + 3. Solve c = -2*x - x for x. -1 Let j = 0 + 7. Let r = 2 + -4. Let v = r + 2. Solve v = -2*q - 1 - j for q. -4 Let w = 2 + -2. Let d be w + 0 + 6 - 1. Suppose d*z - 8 = 12. Solve -3*o + z*o = -1 for o. -1 Suppose -z = -4*o + 1, -2*o = -z - 4 + 5. Let v = o + 3. Let k(i) = 2*i - 3. Let a be k(v). Solve 8 = a*w - 7 for w. 3 Suppose p - 2*p = q + 3, -4*p = 3*q + 13. Let j be (-1 + 2)*-3 - -2. Let r be 4/2 + j + q. Solve d - r = 2 for d. 4 Let v(o) = o**2 - 7*o - 6. Let n be v(8). Let w(u) = -9 + 2*u + 2*u - n*u. Let r be w(6). Solve 6 = -r*q - 0*q for q. -2 Suppose -y + 2*q + 24 + 0 = 0, 0 = 2*y - 5*q - 45. Let x be y/7 - 8/28. Solve x*c + 12 = -0*c for c. -3 Let b(o) = o**3 - 4*o**2 - 6*o + 5. Let y be b(5). Suppose -5*n + 3*n + n = 0. Let r(l) = -2*l - 1. Let g be r(-2). Solve n = -y*i - g*i for i. 0 Suppose 0 = -2*v - h + 19 - 1, -2*v = 4*h - 12. Suppose -5*i + 10 + v = 0. Solve 3 = q + i for q. -1 Let y(i) = i**2 + 5*i + 4. Let a be y(-5). Solve 0 = a*x - 10 - 10 for x. 5 Suppose -2*u = -1 - 1. Suppose m - u = 9. Solve -m = -c - c for c. 5 Let g = 38 - 23. Suppose 3*o + g = 6*o. Solve 6 = o*k + 1 for k. 1 Let v(w) = 3 + 1 + 1 + w**3 - 7*w**2 + 2 + 7*w. Let p be v(6). Solve -7 - p = 5*n for n. -4 Suppose -4*o = -d - 8*o + 18, -2*d = o - 8. Solve -d*h + 3 = -1 for h. 2 Let m be 66/12 + 3/(-2). Solve 4*r + 0 = -m for r. -1 Let y = -3 + 3. Suppose 0 = 9*z + 8 - 53. Solve y = g - z*g for g. 0 Suppose 2*k = -4 + 2. Let i(s) = -15*s**3 + 2*s**2 + 2*s + 1. Let z be i(k). Solve -5*r + z = 1 for r. 3 Let u = -4 - -11. Suppose -4*k + 6 + u = x, 10 = 4*k - 2*x. Solve 0*r = -k*r for r. 0 Let r be (-2)/(-8) + 8/(-32). Let f(c) = r + 2 + 5*c + c**2 - c - 3*c. Let w be f(-2). Solve 0 = w*d + 7 + 5 for d. -3 Let p = 0 + 4. Suppose 0*q = 2*q - p. Solve -4 = 4*g - q*g for g. -2 Let c = 30 + -27. Let s be (-10)/3*(c - 9). Let v(i) = -i + 7. Let x be v(3). Solve -x*n - n = -s for n. 4 Let f(b) = 11*b**2. Let a be f(1). Suppose -2*h + 3*k - a = 0, -5*h + 5*k - 15 = -0*h. Solve 2*y = h - 0 for y. 1 Suppose 0 = 5*n - 4*p - 11, 5 = 5*p - 0. Suppose 3*z = -4*v - n, 5*z + 2 = 5*v - 3. Suppose -o + 1 = -v. Solve s + o = -1 for s. -2 Let p(s) = s**2 + s. Let g be p(0). Suppose g*o + 2*o = -14. Let n = 9 + o. Solve -f = n*f for f. 0 Let m(n) = n**2 - 2*n - 5. Let h be m(4). Suppose 2*q = -5*v + 40, -v + 6*v = 3*q + 65. Solve -v = -j + h*j for j. -5 Let t = -53 + 56. Solve 5*s - 6*s = t for s. -3 Suppose 3*t - t - 2*u - 12 = 0, -18 = -2*t + 5*u. Solve -f = t*f - 5 for f. 1 Suppose -4*b + 8*b - 24 = 0. Solve -b*w + w = -10 for w. 2 Let n(g) = g**2 - 2*g - 10. Let s be n(5). Solve -4*q = -s*q for q. 0 Let c = 25 + -20. Solve -c*g = 16 - 1 for g. -3 Let j(t) = 2*t**3 - 5*t**2 + 2*t + 1. Let c be j(3). Suppose 0 = q + 2*x - 21, -x = -5*x + c. Solve 1 = 3*p + q for p. -4 Suppose q + 2 = -0*z + 2*z, 0 = -z + 1. Suppose -2 + 5 = k. Solve k*b = -q*b for b. 0 Suppose 13*y - 39 - 13 = 0. Solve y*o + o = 0 for o. 0 Let o(h) = -2*h + 3*h**2 - 4*h**3 + 3*h**3 + 3 - 1. Let r be o(2). Solve -z = r*z for z. 0 Let h(k) = -k**3 - 3*k**2 + 4*k + 5. Let y be h(-4). Let m = y - -1. Let a(r) = r**2 - 7*r + 7. Let p be a(m). Solve 2*b - p = -3 for b. -1
{ "pile_set_name": "DM Mathematics" }
ue of (1/18*-15)/(14/14)? -5/6 What is ((-24)/540)/(60/(-108))? 2/25 Calculate (972/(-48))/(-9)*-1*-8*1. 18 What is the value of 8*18/(-432)*81? -27 Evaluate (-132)/33*(-99)/(-44). -9 (13/(-117)*(-189)/(-273))/(4/(-16)) 4/13 What is (-2)/(-40)*69/(1035/60)? 1/5 What is (-1518)/(-414)*(-2)/(-11)? 2/3 (-114)/(-76)*-18*4/((-16)/(-4)) -27 (((-54)/(-72))/(-1))/((-45)/(-6)) -1/10 What is the value of ((-2290)/62975)/((-2)/(-30))? -6/11 (-805)/(-3220)*(-24)/(-2) 3 (-1)/(((-74)/(-259))/(12/(-14))*1) 3 (-470)/(-1833)*(-5)/25 -2/39 Calculate ((-102)/10)/(-17)*10/16. 3/8 Calculate 36/(-10)*1*((-18190)/(-68))/107. -9 Calculate (3/9)/((-10)/(-210)). 7 (3/(-15))/((-25)/625) 5 ((-22)/11)/(((-2)/4)/(98/(-56))) -7 What is the value of (33/(495/30))/(3/(-24)*2)? -8 What is the value of (78*4/112)/(120/(-140))? -13/4 ((-100)/(-320))/(40/(-48)) -3/8 What is (7/259)/(6/(-12)*1)? -2/37 7/1*-2*(-24)/21 16 Evaluate -5*8*(-19)/3040. 1/4 What is the value of 4/((-768)/6)*6/(-12)*4? 1/16 Evaluate 3/(-2)*(4/18)/((-7)/(-21)). -1 Evaluate 12*144/(-256)*3*(-16)/(-18). -18 Calculate (-45)/(-27)*(-189)/35. -9 (-144)/(-396)*10/40 1/11 What is (125/(-1250))/(12/(-330))? 11/4 Calculate 1*5/6*3*448/(-6160). -2/11 What is the value of (5*(-6)/(-45))/((-16)/192*52)? -2/13 What is ((-28)/21*-15)/2*19/19? 10 Calculate ((48/9)/4)/((-11928)/(-2556)). 2/7 What is ((-9)/12)/((18/(-32))/(-9))? -12 What is the value of (-1)/((1/5)/(((-1904)/35)/34))? 8 -4*((-72)/720)/((-4)/170) -17 Evaluate (2*(-9)/24)/((-18)/8). 1/3 Calculate (14/(-49))/((-403)/(-651)). -6/13 What is the value of 0*4*(-7)/56? 0 Calculate 180/(-120)*(4/7)/(9/(-21)). 2 Evaluate (-12)/50*27/(4860/(-100))*6. 4/5 Evaluate (4/(-12)*9/(-6)*0)/(-4). 0 Calculate (27/(-6))/(132/(-88)). 3 Evaluate ((-2139)/(-322))/(-31)*(-1)/((-12)/14). -1/4 Evaluate 1/((34/(-204))/((-3)/(-531))). -2/59 Evaluate ((-9)/5)/(228/760)*(-3)/(-351). -2/39 What is the value of ((-3)/(-2))/(1/4)? 6 What is (56/(-1260))/((-56)/(-420)*3/2)? -2/9 Evaluate ((-3)/((-171)/6))/(-2*(-2)/4). 2/19 What is 0/((7/(336/12))/((-2)/16))? 0 Calculate 24/(-72)*(-552)/(8/(-1)). -23 12/(-14*(-4)/140) 30 What is (26/(-7))/(86/((-14448)/72))? 26/3 What is (24/(-8))/((-162)/81)? 3/2 What is (12/34)/((-336)/(-5712))? 6 Calculate 44*5/25*(-40)/(-16). 22 Calculate ((13152/64)/137)/(2/(-44)). -33 What is (((-2)/(-1))/(-112))/((2200/175)/(-44))? 1/16 ((-150)/45)/((-30)/54)*(-16)/6 -16 Calculate ((-2)/24)/((10575/(-2632))/75). 14/9 Calculate ((-10)/(-24))/((-40)/(-960)). 10 Calculate 7/(-2)*7692/4487. -6 What is the value of (-539)/231*6/(-14)*(-12)/(-2)? 6 ((-17)/(-221)*-6)/(-6) 1/13 What is (1/5)/((-117)/65*1)? -1/9 What is 2457/(-21)*5/(-45)? 13 ((-40)/15)/(70/504*-8) 12/5 What is the value of (-20)/((34/(-170))/(2/20))? 10 What is the value of (78/(-819))/((-2*1/(-2))/6)? -4/7 What is 5*5/(-175)*(2*-14)/(-4)? -1 Calculate (32/6)/4*(-1638)/(-312). 7 What is the value of (2/500*-4)/(5/25)? -2/25 Calculate 2781/2163*147/9. 21 What is 4*20/64*(-4)/(-10)? 1/2 Calculate ((-3)/(-9))/((-3)/3*1/1). -1/3 Calculate (140/840)/(2/8*6/1). 1/9 (4/(-75))/((-22)/(-55)) -2/15 Calculate ((160/(-200))/((-2)/25))/(-8). -5/4 ((-4)/(-6))/((-19)/(-969)) 34 Calculate 7/(((-4)/(-8))/(9/(-18))). -7 What is (2526/15998)/(14/(-19))? -3/14 What is ((-4)/(-14))/(34050/3178)? 2/75 Evaluate ((420/(-18))/(-10)*-2)/((-16)/4). 7/6 Evaluate (-2)/(-3)*((-36)/110)/(4/10). -6/11 What is ((-1)/(-3)*1863/(-54))/((-23)/(-46))? -23 Calculate ((-845)/(-507))/(5/(-21)). -7 What is (53/(795/(-36)))/(32/(-120))? 9 What is the value of 1*35/(-28)*(-4)/(-20)*0? 0 Evaluate (577/(-4039))/(5/(-14)). 2/5 ((-6)/(-4))/(99/(-264)) -4 Calculate (5/4)/(13*(-5)/(-520)). 10 What is (-79)/((-25438)/(-138))*1/((-2)/2)? 3/7 Calculate 1/((5/2*24/(-200))/3). -10 What is ((100/(-8))/(-5))/(12/(-600)*5)? -25 (-1)/(-8*31/9176) 37 (-11589)/38630*((-5)/18)/(-1) -1/12 Calculate (2/13)/((-97)/(2037/(-42))). 1/13 What is the value of (9/(-8))/(597/(-796))? 3/2 What is (14*(-51)/2856)/(2/(-152))? 19 (3*10/45)/(-7*3/(-126)) 4 Evaluate (-9*(-10)/900)/((-3)/((-24)/(-20))). -1/25 (15/2)/((-73)/146) -15 Evaluate 1*3*(-46)/(-161)*35/360. 1/12 (62/(25420/(-123)))/(2/4) -3/5 Evaluate (-9)/(1125/(-50))*(-10)/(-2)*-1. -2 310/(-403)*(-6)/(-10)*(-6)/(-6) -6/13 What is the value of (3/5)/((780/350)/26)? 7 What is the value of ((-180)/(-10))/((-312)/78)? -9/2 Evaluate (-5616)/(-24)*(-7)/(-126). 13 Evaluate (143/208)/(47/(-752)). -11 Evaluate (-1)/(((-38)/19)/(-2)). -1 Calculate (-2)/(-6)*2442/(-11803). -2/29 What is (-4)/(-10)*1475/(-59)? -10 Calculate 51/(-255)*(-10)/4*-26. -13 ((6300/(-40))/15)/(36/32) -28/3 What is (-243)/(-54)*(-13)/((-52)/16)? 18 Calculate (-3*5*1)/((8427/(-212))/53). 20 What is ((-3095)/116991)/(-2*(-15)/(-36))? 2/63 What is the value of (4/(-10))/((155/(-1085))/(2/7))? 4/5 What is 4/56*-4*(-231)/363? 2/11 1/((-291)/97*(-7)/(-3)) -1/7 (-17)/(6630/(-36))*55/33 2/13 -22*3/((-9)/(-7))*141/658 -11 (-21)/((-945)/(-18))*(-15)/9*-2 -4/3 What is 4*(-24)/(-640)*20? 3 Calculate ((-4)/(-2))/(756/294*42/18). 1/3 (8/60)/(-5*(-3)/150) 4/3 Evaluate 2/(24/(-33)*583/106). -1/2 ((-32)/56)/(3/((-21)/(-10))) -2/5 Calculate 399/38*(-12)/18. -7 Evaluate (-28)/(-49)*27/(135/(-140)). -16 Calculate (-6)/((-16)/(-352)*22). -6 What is the value of 5421/695*10/(-6)? -13 What is the value of (99/(-594))/(22/(-36))? 3/11 -30*4/10*(-670)/268 30 ((-12)/(-57))/((-1408)/227392) -34 ((6/5)/((-1036)/(-185)))/(12/7) 1/8 What is ((-64)/(-1))/(16/40*-5)? -32 (-1*-23*1/(-1))/((-18)/(-18)) -23 Evaluate 12*14/28*30/(-36). -5 Calculate (((-36)/21)/(-1))/(((-4)/7)/2). -6 Evaluate (24/(-9))/(30/135). -12 What is ((-387)/(-172))/((-66)/11)? -3/8 12/8*(64/(-132))/(-4) 2/11 Evaluate (-429)/(-13)*(5/25)/(12/(-20)). -11 What is ((-312)/182)/((-105)/(-98))? -8/5 What is the value of 1*-3*((-25)/((-975)/52))/(-146)? 2/73 Calculate 7/(140/(-12))*4/66*-25. 10/11 Calculate 3*(3/2)/(-3)*(-4000)/(-5400). -10/9 What is the value of -1*8/14*2219/2853? -4/9 What is the value of (-420)/45*255/(-119)? 20 1/(10/2)*((-10800)/(-64))/(-45) -3/4 Calculate (((-2)/17)/(20/10))/(18/36). -2/17 Calculate 48/16*(-5796)/(-168)*(-2)/9. -23 Evaluate ((-18)/21)/((-19)/((-665)/(-3))). 10 (-28)/(-210)*(-663)/(-52)*2 17/5 Evaluate (-3755)/(-6008)*6/(-20)*4. -3/4 What is the value of 1/(((-27)/(-54))/((-3)/6))? -1 What is 1*(-115)/92*12/9? -5/3 9/174*31*148/3441 2/29 Calculate ((-2093)/(-322))/((-6)/(-12)). 13 (-21)/12*(-40)/(-220)*-11*2 7 Evaluate (((-72)/135)/((-28)/35))/((-53)/3). -2/53 (-166)/4980*((-60)/9)/4 1/18 (-7)/(-3)*12660/2954 10 What is 1/(-4)*((-930)/12)/31? 5/8 What is ((-77)/(-33))/(18/(-54))? -7 Evaluate 4*7/(133/19). 4 What is the value of (9/12)/((-6402)/3104)? -4/11 What is the value of 34*6*(-7)/(-84)? 17 What is the value of (1*17/6)/(224/(-1344))? -17 What is the value of (35373/(-217680))/((-1)/16)? 13/5 (7/4*28/98)/(12/8) 1/3 What is the value of (990/(-891))/(-5*3)? 2/27 Evaluate (-80)/(-40)*5/4. 5/2 (11*66/605)/((54/40)/9) 8 Calculate ((-956)/(-5258))/((2/(-22)*1)/1). -2 What is the value of ((-34)/(-16))/(9/(-1224)*-85)? 17/5 What is the value of 1755/(-39)*2/(-12)*8/4? 15 ((-1)/(-10))/((1/6)/(20/(-30))) -2/5 Evaluate (3/6)/((-11)/242*-11). 1 Evaluate ((-660)/88)/(3/(2/2*1)). -5/2 Evaluate ((-228)/(-24))/(-19)*3/(-6). 1/4 Calculate (-1)/(-4)*((-30)/15)/((-4)/(-2)). -1/4 25/(25/3)*(-9)/3 -9 (-7)/((-21)/54)*9*(-6)/(-162) 6 What is -20*103/(39655/66)? -24/7 Calculate 13/(39/(-54))*(-9)/27. 6 What is the value of (8/((-16)/5))/(30/36)? -3 What is the value of 2*(-3)/(-36)*6*24/(-36)? -2/3 Calculate (((-18)/(-8))/(6/(-20)))/((-492)/656). 10 Evaluate (-250)/10*(-5)/(-25)*-1. 5 What is the value of ((-32)/6)/4*678/1582? -4/7 What is the value of ((-91)/7)/13*-20? 20 What is (210/(-7175))/((-6)/(-10))? -2/41 Calculate (120/(-144))/(4/144*-2). 15 What is the value of (10/(-3))/((-275)/(-660))? -8 What is the value of 9/12*(21736/(-78))/11? -19 What is the value of (((-6)/40)/((-3)/24))/((-24356)/6089)? -3/10 10/16*4*5*4/1700 1/34 What is the value of (4/30)/(3/(-6)*(-48)/(-30))? -1/6 ((-4)/11)/((-158)/8690) 20 Evaluate 9*(4/(-5))/((-132)/110). 6 -1*12/(-42)*-1*28/32 -1/4 What is the value of (((-6)/8)/((-5)/(-8)))/(33/110)? -4 Evaluate (((-2646)/(-28))/(-27))/(12/(-24)). 7 What is the value of 1/3*45*
{ "pile_set_name": "DM Mathematics" }
(2/(-4))/(35/42)? -3/5 What is the value of 3/24*6*13/(-39)? -1/4 What is the value of (1/9*1)/((-8)/(-12))? 1/6 (1*6)/((-66)/66) -6 What is the value of (24/10)/((120/(-225))/(-2))? 9 What is 60/(-460)*2/(-3)? 2/23 What is (-8)/(-130)*60/(-24)? -2/13 Evaluate -8*(-5)/10*-1. -4 Calculate -3*(-2)/(7/((-21)/(-18))). 1 Evaluate (1*4)/(38/(-57)). -6 What is ((-3)/((-27)/(-6)))/((-20)/12)? 2/5 -45*16/(-72)*(-1)/(-2) 5 What is the value of -1*(-4)/(-8)*4? -2 ((-1)/6)/(-5*(-3)/20) -2/9 Calculate (15/(-18))/((-4)/(-12)). -5/2 What is the value of (((-6)/(-7))/2)/(2/42)? 9 What is (-8)/(-3)*(-27)/36? -2 What is the value of 36/(-45)*(-10)/4? 2 What is the value of (-30)/4*(-11)/((-165)/(-10))? 5 Calculate (1/(-2))/(95/38). -1/5 Evaluate -4*1*(-1)/(-2). -2 What is the value of 42/7*(-77)/(-66)? 7 Calculate (6/(-6))/(1/(-6)*1). 6 What is the value of 6*(-4)/(-6)*11/(-44)? -1 7/63*(-6)/(-5) 2/15 What is the value of 3/6*0/(-11)? 0 Calculate 62/(-124)*((-4)/3)/(-2). -1/3 Calculate (12/240)/(-2*3/24). -1/5 What is 1/((6/(-30))/((-4)/10))? 2 What is ((16/(-56))/1)/(240/70)? -1/12 Evaluate 21/3*2/42*-6. -2 Evaluate (2/(-4))/((-66)/(-264)). -2 What is the value of (5/(125/(-40)))/2? -4/5 What is the value of (19/19)/((-1)/(2/1))? -2 Evaluate (28/21)/(4/(-6)). -2 What is (2/(-3))/(-2*(-3)/27)? -3 ((-12)/180)/(((-57)/(-18))/19) -2/5 Evaluate ((-49)/(-7))/(-7)*-1*4. 4 What is ((-252)/(-54))/((-10)/15)? -7 Evaluate (-990)/(-60)*(-10)/15. -11 Evaluate (10/(-15))/((-10)/(-225)*12). -5/4 Calculate ((-12)/16)/((-6)/(-16)). -2 What is ((-8)/(-6))/(78/(26/2))? 2/9 Calculate (12/(-42))/(((-36)/(-56))/(-9)). 4 What is ((-2)/((-42)/1))/((-24)/(-720))? 10/7 Evaluate 240/(-1800)*(-10)/12. 1/9 What is ((-60)/(-30))/(4/(-6))? -3 Calculate (135/(-9))/15*2/7. -2/7 Calculate 2*(-5)/(5/2). -4 What is -3*1*(-56)/(-168)? -1 (10/(-1470)*-14)/(4/(-6)) -1/7 What is the value of (-18*(-4)/216)/((-1)/(-2))? 2/3 Evaluate 3*(-12)/270*(-54)/(-12). -3/5 Calculate ((-9)/(-72))/((42/(-6))/(-42)). 3/4 6/2*-5*(-3)/15 3 What is the value of (-9*(-7)/(-126))/(-1*2)? 1/4 Calculate 8/2*(-3)/(-21). 4/7 What is ((-1)/10)/(202/505)? -1/4 (-7)/(252/(-20))*4/(-10) -2/9 What is the value of (10/(-30))/((-5)/120)? 8 0/(((-3)/(6/4))/2) 0 Evaluate (22/44)/(2/(-36)). -9 Calculate (2/((-66)/9))/3. -1/11 (4/(-6)*1)/((-380)/(-1710)) -3 What is the value of 3/(-7)*(-3)/27*-6? -2/7 3/((-9)/12)*6/(-24) 1 What is the value of ((-18)/(-81)*3)/((-1)/3)? -2 What is the value of ((-2)/(-10))/(60/(-225))? -3/4 Calculate (112/200)/7*10/2. 2/5 Evaluate (2/(-3))/((-5)/(-60)*-4). 2 What is (-12)/(-3)*(-1)/(-10)? 2/5 Calculate ((2/(-4))/(-1))/(60/(-120)). -1 Evaluate ((16/(-12))/(2/(-12)))/(-2). -4 Evaluate (4/(-12))/((-4)/12). 1 (3/60)/((-12)/48) -1/5 Calculate (-85)/68*4/10. -1/2 What is the value of 3*1*(96/18)/(-8)? -2 What is the value of -1*-1*2*2/1? 4 (((-640)/90)/32)/((-8)/(-3)) -1/12 What is 3/2*(40/(-78))/(-5)? 2/13 What is 0/((-6)/((-12)/(-10)))? 0 (-264)/88*2/(-33) 2/11 What is (-84)/63*1/(-6)? 2/9 Evaluate ((-9)/(-12))/(-3)*(-160)/(-50). -4/5 Evaluate (-4)/54*(-3)/(-1). -2/9 What is the value of ((-24)/(-2016)*-8)/((-4)/(-6))? -1/7 Evaluate 4/44*44/24. 1/6 Evaluate (40/(-6))/(104/(-156)). 10 Calculate (-162)/108*1*12/45. -2/5 Evaluate (-9*(-15)/270)/(1/1). 1/2 What is the value of (6/(-10))/((-9)/(-45))? -3 Evaluate ((-9)/(9/4))/(110/15). -6/11 What is the value of (96/(-20))/6*-1*5? 4 Evaluate ((-6)/72)/((-1)/4)*-1. -1/3 What is the value of 105/21*-1*18/10? -9 Calculate -1*1*((-8)/8)/1. 1 What is (-1224)/(-510)*(-2)/3? -8/5 What is the value of 9/((-270)/(-48))*5/2? 4 What is the value of -4*3*6*(-9)/(-1944)? -1/3 What is the value of 2*8/(48/(-6))? -2 (-5)/5*0/(-5) 0 Evaluate (-6)/(15*(-3)/(-6)). -4/5 What is 0/((-4)/1*95/(-76))? 0 What is the value of (-63)/(-18)*3*16/(-84)? -2 What is (2/2)/((12/9)/4)? 3 Evaluate (28/35)/(4*(-6)/180). -6 (4/(8/6))/(6/(-2)) -1 Evaluate (-42)/90*((-4)/(-14))/1. -2/15 What is the value of ((-8)/(-40))/((-2)/5)*-6? 3 What is 133/(-38)*(-12)/(-7)? -6 What is the value of -1*(-10)/120*1? 1/12 4*-4*1/152 -2/19 What is the value of 30/(-4)*(-60)/90? 5 Calculate (-8)/(12*(-4)/8). 4/3 Evaluate ((-3)/(-30)*5)/((-4)/(-56)). 7 Calculate ((-40)/20)/(1/(-2)). 4 Evaluate 7/(-70)*-4*-1. -2/5 Calculate -1*6*((-32)/36)/4. 4/3 What is the value of (-1)/(-28)*(-301)/86? -1/8 What is the value of (4/68)/((-2)/4)? -2/17 Evaluate (-30)/(-4)*4/6*-1. -5 What is 2/22*627/399? 1/7 (6/27)/(-12*8/(-36)) 1/12 Evaluate -4*8/288*(-4)/(-2). -2/9 Calculate (-528)/198*(-9)/30. 4/5 What is (-12)/(-2)*20/(-200)? -3/5 Calculate 1*4/(-8)*0. 0 Calculate ((-66)/(-44))/((-3)/(3*-6)). 9 Calculate 72/(-27)*((-21)/(-36))/7. -2/9 (1/2)/(((-9)/6)/3) -1 What is 8*(20/(-10))/2? -8 What is 420/270*18/(-21)? -4/3 (-10)/(-200)*12*(-4)/2 -6/5 -35*28/(-21)*(-6)/(-28) 10 ((-2)/4)/(9/36*-2) 1 Evaluate 2/(-6)*(-1)/(-1)*-12. 4 Evaluate ((-4)/1)/((-26)/(-13)). -2 (-3)/((1/1)/((-2)/(-2))) -3 What is the value of (-3)/(-12)*(-8)/(-10)? 1/5 What is (-1)/(-2)*(-4)/(-2)? 1 Evaluate (-5*8/(-140))/(104/56). 2/13 4*(-2)/24*3*-5 5 What is the value of ((-4)/70)/((-132)/(-308))? -2/15 Evaluate 6/(-4)*6/(-3). 3 Calculate -4*4/(32/(-2)). 1 What is the value of (27/6)/((231/22)/(-21))? -9 What is (10/25)/(((-6)/(-2))/30)? 4 What is -1*3/(-3)*20/4? 5 What is the value of 684/(-38)*(-1)/6? 3 Evaluate ((-5)/(-3*50))/(1/3). 1/10 Evaluate (-3*6/27)/(1/6). -4 (8/16)/(6/(-60)) -5 Evaluate -3*(420/(-18))/10. 7 What is (-2)/((-1)/((-5)/(-5)))? 2 Calculate 117/54*(-3)/(-39). 1/6 Evaluate 30/48*(-8)/(-10). 1/2 Evaluate (3*-1)/((-11)/(44/(-30))). -2/5 What is 1*2/4*(-8)/(-2)? 2 Calculate (6/(-10))/(498/(-830)). 1 What is the value of 0/(3/9*-3)? 0 Calculate (12/3)/1*6/36. 2/3 What is 4/(-10)*10/(15/(-3))? 4/5 What is -8*((-2)/2)/(-2)? -4 What is the value of (3*(-2)/(-12))/(2/12)? 3 What is 0/((-6)/(-1))*1? 0 ((-432)/(-504))/((18/28)/1) 4/3 Evaluate ((-130)/(-25))/(-13)*-5. 2 What is (-10)/(10/((-15)/(-3)))? -5 Calculate 0/(-25)*-1*(-1)/3. 0 Evaluate (10/(-36))/((-35)/21). 1/6 Calculate 2*5/((-40)/8). -2 Calculate 76/76*1/1. 1 Calculate -5*(128/280)/8. -2/7 (-1)/(3*6/18) -1 ((-3)/((-24)/20))/(30/(-20)) -5/3 What is the value of 1/(((-9)/(-6)*2)/(-1))? -1/3 Calculate (4/14)/(49/343). 2 Evaluate (78/(-273))/(5/((-30)/4)). 3/7 Calculate (-1)/10*4*15/(-6). 1 Evaluate (-16)/(-256)*-2*2*1. -1/4 What is (5/2)/(-5)*-10? 5 What is (-6)/(-10)*(-20)/(-54)? 2/9 Evaluate ((-8)/(-60))/(4/60). 2 ((-43)/430)/((-6)/(-10)) -1/6 What is the value of (16/(-24))/(10/45*-4)? 3/4 What is ((-26)/78)/((-4)/6)*8? 4 Evaluate ((-125)/75)/(((-50)/18)/5). 3 Calculate (1/(-1))/(9*(-40)/(-48)). -2/15 Evaluate ((-9)/27)/((-3)/((-36)/20)). -1/5 Evaluate (5/10)/(3/(48/(-92))). -2/23 What is the value of ((-348)/(-232))/(6/(-40))? -10 What is the value of (-6)/(-3)*(-14)/7? -4 Calculate 3/(-6)*((-6)/(-1))/3. -1 What is the value of 21/(-6)*(-3)/(21/4)? 2 What is the value of (-2)/(-18)*13/((-234)/27)? -1/6 Evaluate (-70)/(-525)*(-10)/(-6). 2/9 Evaluate ((-1)/(-1))/((-5)/(-10)). 2 Calculate 1*2*(-22)/(-374). 2/17 What is the value of -8*(-2)/(-22)*(-99)/(-54)? -4/3 Evaluate 8*(-7)/(-168)*12. 4 What is the value of ((-4)/(-2))/((-1)/((-9)/6))? 3 Evaluate (-2403)/(-445)*(-2)/(-9). 6/5 What is the value of ((-267)/(-178))/(3/(-10))? -5 What is the value of (3/9)/(2/(-12))*1? -2 Calculate ((-51)/68)/(4/(-2)). 3/8 What is (1/(-3))/(1*(-9)/18)? 2/3 What is the value of ((-21)/(-7))/((-1)/(-1))? 3 Calculate (-2)/10*(-2)/(48/20). 1/6 (3/2)/(-1)*(-404)/101 6 Evaluate ((-9)/3)/(90/(-150)). 5 What is the value of ((-320)/400)/(2/(-15))? 6 What is the value of 56/(-42)*(-4)/12? 4/9 Calculate (2/(-2))/(155/(-31)). 1/5 What is (4/(-66)*6)/(-2)? 2/11 Evaluate ((-6)/(-18))/((4/(-21))/(-4)). 7 What is (-2*4/(-6))/(-4)? -1/3 -2*(-3)/(6/(-5)) -5 -1*5/60*6/(-2) 1/4 Calculate (-15)/(-3)*38/(-1425). -2/15 What is (6/3)/((-17)/(-51))? 6 What is (45/33)/5*(-24)/18? -4/11 Calculate 35/(-14)*(16/(-10))/1. 4 What is ((1075/550)/43)/((-1)/2)? -1/11 Calculate ((-1)/(-1))/(((-18)/(-6))/(-6)). -2 Calculate (2/(-2))/((-2)/(-8)). -4 Evaluate ((-6)/(-28))/((-8)/(384/(-18))). 4/7 What is -6*3/54*-3? 1 (-1)/((-1)/5)*(-3)/15 -1 What is the value of 0*1/((-15)/5)? 0 42/(-105)*(10/7)/(-1) 4/7 Calculate ((-40)/45)/1*3/4. -2/3 Wh
{ "pile_set_name": "DM Mathematics" }
smallest common multiple of 12 and 30? 60 What is the common denominator of -103/6 and -95/11598? 11598 Find the common denominator of -9/922 and 9/2. 922 What is the common denominator of -125/576 and -161/270? 8640 Find the common denominator of 149/6600 and 131/3600. 39600 What is the smallest common multiple of 20 and 1238? 12380 What is the common denominator of 35/9 and -17/597? 1791 Find the common denominator of 61/16 and 97/160. 160 What is the smallest common multiple of 208 and 6? 624 What is the common denominator of -101/162 and 29/81? 162 What is the common denominator of -17/4224 and 1/1584? 12672 Find the common denominator of 37/1372 and -97/42. 4116 What is the lowest common multiple of 12 and 84? 84 Find the common denominator of -149/72 and 113/12. 72 What is the lowest common multiple of 4 and 74? 148 Calculate the common denominator of 38/77 and 75/14. 154 Calculate the lowest common multiple of 1089 and 3993. 11979 Calculate the smallest common multiple of 18 and 222. 666 What is the lowest common multiple of 6748 and 35? 33740 Calculate the common denominator of 85/441 and 89/6. 882 Find the common denominator of -35/358 and -11/12. 2148 What is the common denominator of 14/1107 and -101/492? 4428 Calculate the lowest common multiple of 28 and 224. 224 Find the common denominator of -181/210 and -89/336. 1680 What is the smallest common multiple of 87 and 18? 522 Calculate the lowest common multiple of 40 and 8625. 69000 Find the common denominator of 52/95 and 127/114. 570 What is the smallest common multiple of 260 and 40? 520 What is the least common multiple of 7 and 286? 2002 Calculate the lowest common multiple of 24 and 12. 24 Calculate the common denominator of -73/20 and -12/5. 20 Calculate the smallest common multiple of 8 and 2051. 16408 What is the smallest common multiple of 152 and 342? 1368 Calculate the common denominator of 13/8 and -109/20. 40 Find the common denominator of 143/60 and 7/30. 60 Find the common denominator of 173/150 and 77/296. 22200 What is the lowest common multiple of 708 and 472? 1416 Calculate the common denominator of -25/6 and -107/14712. 14712 Calculate the lowest common multiple of 351 and 234. 702 What is the lowest common multiple of 3168 and 1056? 3168 What is the lowest common multiple of 264 and 12? 264 What is the lowest common multiple of 18 and 789? 4734 Calculate the common denominator of 13/99 and 10/7. 693 Calculate the smallest common multiple of 61 and 2. 122 What is the smallest common multiple of 32 and 552? 2208 Calculate the common denominator of 49/990 and -139/1320. 3960 Calculate the common denominator of -101/80 and 29/16. 80 Calculate the lowest common multiple of 960 and 280. 6720 Calculate the smallest common multiple of 38 and 171. 342 Find the common denominator of 5/288 and -41/1224. 4896 What is the common denominator of 10/801 and 53/69? 18423 What is the least common multiple of 272 and 164? 11152 Calculate the common denominator of 18/217 and 83/2688. 83328 Find the common denominator of -35/23 and -2/345. 345 What is the smallest common multiple of 1 and 16? 16 What is the least common multiple of 66 and 140? 4620 What is the least common multiple of 312 and 7488? 7488 What is the common denominator of -47/366 and 65/9? 1098 Calculate the common denominator of -7/374 and -45/242. 4114 What is the lowest common multiple of 65 and 6? 390 Find the common denominator of 53/14 and 11/15. 210 Find the common denominator of 43/384 and -41/16. 384 Find the common denominator of -41/20 and 44/1021. 20420 Calculate the lowest common multiple of 21 and 147. 147 Calculate the common denominator of 101/222 and -76/333. 666 What is the smallest common multiple of 288 and 72? 288 What is the least common multiple of 288 and 102? 4896 Calculate the common denominator of -1/35 and 41/385. 385 What is the common denominator of 29/99 and 109/6? 198 What is the lowest common multiple of 148 and 40? 1480 What is the lowest common multiple of 30 and 462? 2310 Calculate the common denominator of 41/148 and 29/7. 1036 Find the common denominator of -61/288 and 121/216. 864 Calculate the least common multiple of 5 and 1178. 5890 Calculate the lowest common multiple of 4 and 124. 124 What is the common denominator of -59/14 and 89/224? 224 Calculate the lowest common multiple of 155 and 15. 465 Calculate the common denominator of 32/395 and 64/237. 1185 Calculate the lowest common multiple of 1071 and 1. 1071 Calculate the least common multiple of 4845 and 153. 14535 What is the least common multiple of 40 and 1740? 3480 Find the common denominator of 63/2168 and 85/4. 2168 What is the smallest common multiple of 21 and 177? 1239 Calculate the common denominator of 52/1529 and -29/834. 9174 Calculate the common denominator of 89/32 and -39/128. 128 Calculate the least common multiple of 231 and 231. 231 Calculate the common denominator of 47/10 and 91/2694. 13470 What is the smallest common multiple of 15 and 162? 810 Calculate the common denominator of -67/72 and 83/132. 792 Find the common denominator of -95/2346 and -26/85. 11730 What is the common denominator of -69/32 and -93/284? 2272 What is the smallest common multiple of 110 and 55? 110 What is the common denominator of 21/118 and -33? 118 Calculate the common denominator of -103/30 and 197/330. 330 Find the common denominator of 29/240 and 17/144. 720 What is the common denominator of -57/1505 and -46/49? 10535 What is the common denominator of 53/72 and -99/20? 360 What is the common denominator of -5/12 and 11/116? 348 Calculate the common denominator of 101/10 and -57/13394. 66970 What is the least common multiple of 790 and 100? 7900 What is the lowest common multiple of 12 and 186? 372 Find the common denominator of -17/1184 and 63/814. 13024 Find the common denominator of -61/6 and -85/642. 642 Find the common denominator of -127/210 and 31/1512. 7560 Calculate the smallest common multiple of 363 and 2178. 2178 What is the common denominator of -40/1743 and -47/11? 19173 Calculate the lowest common multiple of 6 and 8. 24 Calculate the least common multiple of 303 and 6. 606 Calculate the common denominator of 65/2319 and -47/48. 37104 Calculate the least common multiple of 77 and 7. 77 What is the common denominator of -41/120 and -127/24? 120 What is the common denominator of 73/690 and -149/216? 24840 What is the lowest common multiple of 276 and 1978? 11868 Calculate the lowest common multiple of 20 and 2396. 11980 What is the lowest common multiple of 21 and 183? 1281 What is the lowest common multiple of 16032 and 768? 128256 Calculate the smallest common multiple of 480 and 264. 5280 Calculate the common denominator of -19/10 and -28/1791. 17910 What is the common denominator of -119/498 and -3/2? 498 What is the common denominator of 131/90 and -67/90? 90 What is the least common multiple of 1260 and 1800? 12600 Calculate the smallest common multiple of 800 and 8. 800 Calculate the least common multiple of 1576 and 16. 3152 What is the smallest common multiple of 2 and 928? 928 Find the common denominator of -23/225 and 91/2200. 19800 Find the common denominator of -32/207 and -39/184. 1656 Find the common denominator of 109/154 and 115/2618. 2618 Calculate the lowest common multiple of 1732 and 4. 1732 Calculate the lowest common multiple of 123 and 1230. 1230 Find the common denominator of -57/154 and -39/4. 308 What is the common denominator of 103/2388 and 48/995? 11940 Find the common denominator of 49/9892 and 63/8. 19784 What is the common denominator of -13/124 and 67/4? 124 What is the least common multiple of 20 and 52? 260 Calculate the smallest common multiple of 27 and 3. 27 What is the smallest common multiple of 186 and 217? 1302 Calculate the lowest common multiple of 7 and 21. 21 Calculate the lowest common multiple of 16 and 1488. 1488 Find the common denominator of -109/40 and 151/516. 5160 Calculate the common denominator of -123/50 and 21/40. 200 What is the least common multiple of 10 and 19122? 95610 What is the smallest common multiple of 351 and 234? 702 What is the smallest common multiple of 280 and 120? 840 Calculate the common denominator of 87/22 and -47/1562. 15
{ "pile_set_name": "DM Mathematics" }
766025*w**2. 2008015*w**2 Collect the terms in 29837*r + 5*r**2 - 627 + 29838*r - 59675*r. 5*r**2 - 627 Collect the terms in 69030058*l - 69030058*l + 72*l**2 + 1. 72*l**2 + 1 Collect the terms in -4 + 719893*z**3 + 17 - 719892*z**3 - 13. z**3 Collect the terms in -1 + 1 - 21335116*s**2 + 4*s**3 + 21334719*s**2. 4*s**3 - 397*s**2 Collect the terms in 61 + 24*z + 48 + 23*z - 73*z - 1 + 29*z. 3*z + 108 Collect the terms in -2*j**3 - 492 - 487 + 1475 - 494 + j**3. -j**3 + 2 Collect the terms in -196*v - 22 + 15 + 1 + 19. -196*v + 13 Collect the terms in 11315*u + u**2 - 6598*u - 4771*u. u**2 - 54*u Collect the terms in -368 - 4*x**2 + 1077 + 1260. -4*x**2 + 1969 Collect the terms in 5171*i**2 - 2357*i**2 - 21422*i**2. -18608*i**2 Collect the terms in -1374*a**3 - 1921*a**3 - 1637*a**3. -4932*a**3 Collect the terms in 2*o - 74*o**2 - 85*o**2 - 14 - 67*o**2. -226*o**2 + 2*o - 14 Collect the terms in -107*t + 19 + 234*t + 69*t - 16*t - 17. 180*t + 2 Collect the terms in 3747051*g + 3256046*g - 2159499*g. 4843598*g Collect the terms in 735*v - 78*v**3 - 239*v - 217*v - 152*v**3 - 279*v. -230*v**3 Collect the terms in 38792*m**3 + 9308*m**3 + 58740*m**3. 106840*m**3 Collect the terms in -113 - 284*a**2 - 62*a**2 - 990*a**2 + 285*a**2 - 17*a. -1051*a**2 - 17*a - 113 Collect the terms in -19 + 69 - 28 - 22 - 11088*x**2. -11088*x**2 Collect the terms in -31*x - 2*x**3 - 7*x + 5*x**2 - 4*x**2 + x**3 - 127 + 302*x. -x**3 + x**2 + 264*x - 127 Collect the terms in 11659616*z**3 - 5829958*z**3 - 5829902*z**3. -244*z**3 Collect the terms in 352 + 9*u + 63 + 13*u - 781*u**2 + 119 - 20*u. -781*u**2 + 2*u + 534 Collect the terms in 24*p**2 - 6875 + 6917 - 14*p**2. 10*p**2 + 42 Collect the terms in 18*p**2 + 22*p**2 + 169*p**2 + 98*p**2 + 146*p**2 - 223*p**2. 230*p**2 Collect the terms in -287478*r**2 + 3*r - 1282467*r**2 - 3*r. -1569945*r**2 Collect the terms in 0*h - 2*h + 8955*h**2 - 54 - 8829*h**2. 126*h**2 - 2*h - 54 Collect the terms in -2966 + 5*b + 17*b**2 + 23*b**2 + 2989. 40*b**2 + 5*b + 23 Collect the terms in -12*y + 2858 - y**2 - 3665 + 807 + 12*y. -y**2 Collect the terms in -2633*y - 2248 + 2248 + 825*y. -1808*y Collect the terms in 203942857329*v - 3 - 203942857330*v + 3. -v Collect the terms in 2250731*b**3 + 3328*b**2 - 3328*b**2. 2250731*b**3 Collect the terms in 4917*a - 18616*a - 8935*a - 29495*a. -52129*a Collect the terms in -87*w**2 + 248 + 1 - 20 + 180*w**2 + 56 - 92*w**2. w**2 + 285 Collect the terms in 1750 + 3039 - 4789 - 6*f. -6*f Collect the terms in 19911*s**2 - 10264*s**2 - 10303*s**2. -656*s**2 Collect the terms in -30451*b**3 + 160377*b**3 + 38013*b**3 + 75557*b**3 + 51068*b**3. 294564*b**3 Collect the terms in 54*p**3 + 5*p**2 - 5*p**2 + 148*p**3 + 97*p**3. 299*p**3 Collect the terms in 1046089933396*o**3 + 5*o**2 - 5*o**2 - 1046089933394*o**3. 2*o**3 Collect the terms in -755073570060*b + 755073570060*b + 4*b**2. 4*b**2 Collect the terms in 1229809*v + 43*v**2 - 2459619*v + 1229810*v - 12*v**2 + 274*v**2. 305*v**2 Collect the terms in 274*a - 5 - 5 - 11 + 5 + 17. 274*a + 1 Collect the terms in -27*o + 23*o + 20*o + 8*o - 4*o - 21*o. -o Collect the terms in -22*s + 246666*s**2 - 246721*s**2 + 22*s + 1. -55*s**2 + 1 Collect the terms in 76*t - 76*t + 20729 - 20727 - 72*t**3. -72*t**3 + 2 Collect the terms in -10238400*i**3 - 3921874*i**3 - 3182886*i**3. -17343160*i**3 Collect the terms in 1459*c**2 + 647 + 623 - 1270. 1459*c**2 Collect the terms in 332 + 2014*n**3 - 4310*n**3 + 2299*n**3 - 332. 3*n**3 Collect the terms in 6*n**3 - 16334 + 8149 + 8143. 6*n**3 - 42 Collect the terms in 563*b**2 + b**3 + 505*b**2 + 571*b**2 - 1639*b**2. b**3 Collect the terms in -485068*z**2 - 485016*z**2 - 981*z + 970145*z**2 + 981*z. 61*z**2 Collect the terms in 6862 + 3763*x**3 - 6864 - 3787*x**3. -24*x**3 - 2 Collect the terms in -9708*k**2 - 8914*k**2 + 13110*k**2 + 28158*k**2 + 30630*k**2. 53276*k**2 Collect the terms in 153589*h**3 + 3030*h**3 - 156620*h**3. -h**3 Collect the terms in -14274 + 57076 - 14268 - 14270 - 4*n - n - 14264. -5*n Collect the terms in 24*f**3 + 0*f**3 + 14*f**3 - 11*f**3 - 14*f**3 + 0*f**3 - 8*f**3. 5*f**3 Collect the terms in 767*u**2 - 1559*u**2 + 776*u**2 - 36*u. -16*u**2 - 36*u Collect the terms in -7*q + 91*q + 3125525 + 33*q - 3125525. 117*q Collect the terms in -5094 - 6*f + 6202 - 1108. -6*f Collect the terms in -40*r**2 + 110*r**2 + 1784*r**3 - 37*r**2 - 35*r**2 - 1774*r**3. 10*r**3 - 2*r**2 Collect the terms in -1571662*s**2 - 1546147*s**2 + 3117809*s**2 + s**3. s**3 Collect the terms in 9490*b**2 - 33099*b**2 - 7303*b**2. -30912*b**2 Collect the terms in -1826214*f**3 - 7522*f**3 - 1587823*f**3. -3421559*f**3 Collect the terms in 3218068*h - 608729*h + 588551*h. 3197890*h Collect the terms in 26072102877352 - 26072102877352 - 3*c. -3*c Collect the terms in 2*v**2 - 67*v + 3473 - 67*v + 134*v. 2*v**2 + 3473 Collect the terms in 27035*x**3 - 54142*x**3 - 2*x + 27119*x**3. 12*x**3 - 2*x Collect the terms in -17*g**3 - 17*g**3 + 62*g**3 - 14*g**3 - 20*g**3 + 8*g**3 - 8*g. 2*g**3 - 8*g Collect the terms in 436197884*w - 436197884*w - 2 - 59*w**3. -59*w**3 - 2 Collect the terms in 1114*b**3 - 424*b**3 - 4627*b**3 - 3326*b**3 + 432*b**3. -6831*b**3 Collect the terms in -43*v**2 + 78*v**2 - 53567*v**3 - 35*v**2 - 4. -53567*v**3 - 4 Collect the terms in -12*z - 6*z + 4*z - 6*z - 16*z + 47*z. 11*z Collect the terms in -189*o**2 - 1155*o + 1170*o + 184*o**2 + 10486 - 10486. -5*o**2 + 15*o Collect the terms in 78*c**3 - 61*c - 54*c - 64*c + 175*c - 264*c**3. -186*c**3 - 4*c Collect the terms in -50988235*a - 50988234*a + 101976464*a. -5*a Collect the terms in -5*h**2 + 2*h**3 - 34*h**2 + 67*h**2 + 925*h - 28*h**2. 2*h**3 + 925*h Collect the terms in 5*i**3 - 7022468255924*i + 3 + 7022468255924*i. 5*i**3 + 3 Collect the terms in -196452*i**2 + 4*i**3 + 100784*i**2 + 95668*i**2. 4*i**3 Collect the terms in 42*s**2 + 6*s**2 - 16*s**2 + 8*s - s - 14*s**2 - s. 18*s**2 + 6*s Collect the terms in -7 - 17008*m**3 - m**2 + 7 + m**2 - 17176*m**3 + 34143*m**3. -41*m**3 Collect the terms in 66 + 798*w + 810*w - 1604*w. 4*w + 66 Collect the terms in 228*v - 157 + 309 - 149. 228*v + 3 Collect the terms in -1248*p**2 - 3144*p**2 + 3 - 5 - 50804*p**2. -55196*p**2 - 2 Collect the terms in 0*v + 8*v**2 + 335*v**3 - 83 + 3*v**2 + 0*v. 335*v**3 + 11*v**2 - 83 Collect the terms in -527*w + 1352*w - 412*w - 413*w + w**2. w**2 Collect the terms in 646 - 238*k - 161 + 241*k. 3*k + 485 Collect the terms in 95619*k + 116489*k + 106952*k + 120173*k. 439233*k Collect the terms in -206507*a**3 + 413011*a**3 - 206439*a**3. 65*a**3 Collect the terms in -147*c**2 - 463*c**2 + 590*c**2 + 32*c**2 - 2 + 2. 12*c**2 Collect the terms in 316*t + 75*t + 323*t - 24*t + 520*t - 87*t. 1123*t Collect the terms in -25960341895 + 2*y**2 + 25960341895. 2*y**2 Collect the terms in -2316*j - 578 - 2322*j + 4626*j. -12*j - 578 Collect the terms in -35*k**2 - 36*k**2 + 50 + 18*k**2. -53*k**2 + 50 Collect the terms in 10303*h**3 - 6620*h**3 + 103840*h**3. 107523*h**3 Collect the terms in -15*j + 8922*j**2 + 1287*j**2 + 9577*j**2 + 11877*j**2. 31663*j**2 - 15*j Collect the terms in 67*g + 3276*g - 361*g + 8519*g. 11501*g Collect the terms in -57 - 8*s**3 + 55*s**2 - 624 - 39. -8*s**3 + 55*s**2 - 720 Collect the terms in -1874*j**2 - 1886*j**2 + 234 + 3764*j**2 - 114 - 120. 4*j**2 Collect the terms in -2*l**3 + 9922*l - 19823*l + 9893*l. -2*l**3 - 8*l Collect the terms in 50 - 145 + 45 + 50 + 2825*t. 2825*t Collect the terms in 100203480*l**2 - 1 - 100203480*l**2 - 5*l**3 - 109*l. -5*l**3 - 109*l - 1 Collect the terms in 392*f + 397*f - 1258*f + 21*f**2 + 395*f + 74*f. 21*f**2 Collect the terms in -43*k**3 - 14*k**3 - 21*k**3 + 16*k**3. -62*k**3 Collect the terms in 1206*u + 20386268 - 20386268. 1206*u Collect the terms in 2572263826 - 2572263826 - 73*f**3. -73*f**3 Collect the terms in 14424 - 7224 - 7200 + 89*d. 89*d Collect the terms in -84958 - 41475 - 226593 + m - 121866. m - 474892 Collect the terms in 655*d + 106*d - 125*d + 5417 + 46*d - 2715 - 2704. 682*d - 2 Collect the terms in -2*c**2 - 716732*c**3 + 714515*c**3 + 2*c**2. -2217*c**3 Collect the terms in u + 82 - 133 + 88 - 35*u**2 + 61*u**2 - 29*u**2. -3*u**2 + u + 37 Collect the terms in 18841*t**2 - 7991
{ "pile_set_name": "DM Mathematics" }
4*g + 26 = 0. Let b(n) = -n**2 + 3*n + 5. Let o be b(4). Let z be (m*o)/(-7 - -5). Is z <= -1? True Suppose h + 5*i + 27 = 3*h, 4*h - 24 = 4*i. Let b = 8 + -10. Let g be (h/b)/(1/(-2)). Is g greater than or equal to 0? True Let k be 1/3*(-6)/20. Let l(v) = -v**3 - 13*v**2 - 12*v. Let u be (-6)/(-3) - (-14)/(-1). Let j be l(u). Which is greater: j or k? j Let j(i) = -5*i + 66. Let f be j(13). Let q be f*(-4)/1 - 13. Is q > -17? False Let x = 3/28 - -37/28. Let k = 0 + 1. Is k greater than x? False Let o be 87 + 15/(-6)*30/(-25). Is o < 89? False Suppose 51*x - 143*x = 98*x. Let g = 26 - 15. Let a = -5 + g. Are a and x equal? False Let t = 532.9 - 498. Let h = 87 - 122. Let w = t + h. Is -1.3 bigger than w? False Let l = 120 - 145. Is l at most -22? True Let i = -54 - -16. Let q = 30 + i. Is q at least as big as -2? False Let k be 10/(-4)*(0 + -2). Suppose 2*x + k + 1 = 0. Let p(h) = h + 4. Let o be p(x). Is o equal to -6/13? False Suppose 7*m - 6*m + 24 = 4*x, 3*x - 9 = 3*m. Suppose f - 5 = -0*f. Which is bigger: x or f? x Let d be (-6)/(-45) + (-257853)/1035. Is -250 at most as big as d? True Let d = 1291 + -984. Which is greater: d or 309? 309 Let s be (-720)/(-117) - (-4)/(-26). Let p = s - 3. Suppose -2*n - p*d + 6 = -4*d, 2*n + d + 2 = 0. Which is bigger: n or 2? 2 Let b = 69 - 68. Is b at most -3? False Let m(c) = -c**3 - 20*c**2 - 1. Let d be m(-20). Which is bigger: 3/10 or d? 3/10 Suppose -10*x + 1700 = -1050. Is x at least 277? False Let l be 24*(-2 - 22/(-8)). Let o be (-2)/(2 - 32/l). Suppose x = c - 120 + 110, 0 = x + 2*c + 7. Is x > o? False Let c = 17.97 + -21.5. Is 2/3 smaller than c? False Let j be ((-66)/(-9) + -2)*3. Let s = 138 + -194. Let b be 6/28 - j/s. Which is smaller: 0.03 or b? 0.03 Let h(j) = j**3 + j**2 + j + 20. Suppose -4*o = -3*o - 4*c - 4, 0 = 4*o - c - 1. Let y be h(o). Suppose m + 14 = -2*v + 4, y = 5*m - 4*v. Is m equal to 0? True Let y be (2/76)/(30/(-60)). Is 1 at least as big as y? True Let f(p) = -p**3 - 9*p**2 - 20*p + 4. Let z be f(-5). Let c be ((-26)/(-16))/1 + (-4)/z. Is 0 greater than c? False Let f(g) = 2*g**2 - 65*g + 31. Let p be f(32). Is p bigger than -17/22? False Let y = -140/3 - -47. Let p be (-40)/(-4)*1 + -2. Suppose -4 + p = -g. Is g less than or equal to y? True Let t be (1203/(-4))/(82/(-328)). Is 1202 less than or equal to t? True Let k = -103 + 103. Which is greater: k or -1/79? k Let s = 11060731/1321 + -8373. Is -1 not equal to s? True Let q be 2/8 - 150/280. Which is smaller: 0.01 or q? q Suppose -15*c + 16 = -17*c - 5*g, 0 = -g - 4. Is c less than 5? True Let o be (-335)/(-3417)*(-1 - 0). Which is bigger: 1 or o? 1 Let y = 758 + -760. Which is bigger: y or 24? 24 Suppose -209 = 9*t - 182. Let b be 13/(-26) - 50/(-4). Is b >= t? True Suppose -94 = -4*i + k, 4*k = 3*i - 8*i + 128. Suppose 3*h + 4*m + 46 = 131, 5*h - 3*m - 103 = 0. Which is smaller: i or h? h Let l be 1 - (3 - (-1 - -2)). Let v be ((-3965)/416)/5 + (2 - 0). Which is smaller: v or l? l Let c = -77 - -69. Let t = -7.94 - c. Which is smaller: t or 2/7? t Suppose 5*l - 38 = 7. Let f be 14/5 - (-10)/50. Suppose -18 = y - f*y. Is y != l? False Let f = -51.7 - -49. Let l = f - 1.3. Let w = l + 2. Is w bigger than -2? False Let m = -3.1 - 0.1. Let q = 0.2 + m. Let x = -19 + 21. Is x not equal to q? True Suppose 4*y + 26 = 5*v, v - y = -3*y - 6. Which is smaller: 151 or v? v Let o = 79 + -81. Suppose -2 = 4*f + 2. Let q = f + -2. Are q and o equal? False Suppose -3*v - 11 - 112 = 0. Let f be 2/(-9) + (36/(-324))/(2/716). Is v less than f? True Suppose 2*t - 68 = -4*r - 0, 68 = 4*r + 5*t. Let w = r - 14. Suppose 2*l - 15 = -w*l. Is l less than 3? False Let i = 575 + -575.0068. Which is bigger: i or 0? 0 Suppose -3*x + 0*x - 142 = 4*u, 2*u = 10. Let f be ((x/(-141))/6)/(1/(-1)). Which is bigger: 1 or f? 1 Suppose -k - 4*k = 0. Let d = 512 - 5631/11. Which is greater: k or d? d Let m(q) = q**2 + 139*q + 1317. Let i be m(-10). Is 24 bigger than i? False Let p be (1 + 2)/((-72)/32). Let m = p + 1. Is 0.07 at most as big as m? False Suppose 5*u + 18 + 2 = 0. Let d(y) = 3*y + 8. Let s be ((-6)/4)/((-18)/(-48)). Let k be d(s). Is u < k? False Suppose -47 - 89 = -2*s. Let z = -21229/320 - -7/960. Let b = z + s. Which is bigger: b or 1? b Let y be 4/(4/123*3) - -5. Which is smaller: 47 or y? y Suppose 2*w = -i - 18, i + 6*w - 3*w + 21 = 0. Are i and -3/29 equal? False Let z(j) = -2*j + 10. Let y be z(0). Let v be (-105)/y*((-8)/(-3))/(-4). Is 9 <= v? False Let g = -27/10 - -3. Which is bigger: g or 0? g Suppose 3*q + 4*r - 8 = 0, q = r - 3 - 6. Let t = 0.28 + -13.28. Let v = -11 - t. Is q at least as big as v? False Let t = -11/8 - -61/56. Which is bigger: t or 528? 528 Let y be 151569/(-2970) + 6/(-20). Which is bigger: -52 or y? y Let k = -18791/15 + 1253. Which is smaller: -9 or k? -9 Suppose -991 = 4*k - 2047. Is 264 at least k? True Suppose 0*p = -3*p - 24. Let c(l) = 4*l**2 + 5*l - 5. Let j be c(2). Let r = 13 - j. Is r < p? False Let w = -5408/7751 + 30/337. Is w >= -2? True Let n = -478 + 352. Is n <= -125? True Let m = -162 - -101. Let j = -58 - m. Which is greater: j or 18/11? j Suppose 5*g - 13 = -5*s + 2*s, 1 = 5*s - 2*g. Suppose -11 = -2*f - 5. Is f smaller than s? False Let k = -253 + 294. Which is bigger: 40 or k? k Suppose 3*m + 5 = -19. Let l = 259 + -251. Let q = m + l. Is 1 smaller than q? False Suppose 303 - 96 = 5*h + 3*q, 0 = 2*h + 2*q - 86. Let p = -116/3 + h. Which is smaller: -2/11 or p? -2/11 Let q = -336.4 - 21.6. Is -1 not equal to q? True Suppose -3*u = -5*w + 330, 2*w + 0*w + 220 = -2*u. Which is bigger: u or -111? u Let i be 35/(-150) + 10/20. Is i bigger than 30? False Suppose -89*f - 38498 = -37786. Let i(q) = -4*q - 1. Let b be i(3). Is b greater than f? False Let u be (-50)/28 - 2/(-7). Let p = -20 + 19.4. Let k = p + 0.7. Are k and u equal? False Let o(j) = -329*j**3 - 3*j + 274*j**3 - 1 - j**2 - 1. Let d be o(-1). Which is greater: 53 or d? d Let t = -16 - -14.8. Let n = 13.8 + -14. Let q = t - n. Is q <= 2/9? True Let f be 144/(-26) - 36/(-18). Is -4 less than or equal to f? True Suppose 14 = -2*m - 3*d, 0 = 4*m + 3*d + 9 + 7. Suppose -2*q + 2*k + 3*k - 13 = 0, 0 = q + 5*k - 16. Suppose 0 - q = t. Are m and t equal? True Let z = -396 - -433. Is 3 bigger than z? False Suppose -4 - 5 = 3*a. Let v = 23 + -44. Let g = v - -21. Are a and g non-equal? True Let x be (3 + -5 + 1)*(1 + 18). Let u = 22 + x. Which is smaller: 7/4 or u? 7/4 Suppose 0 = 3812*v - 3822*v + 10. Let d be (-2)/194*2/3. Which is bigger: d or v? v Let u = -170 + 169. Is -2/315 greater than or equal to u? True Let c be (-15)/(-92) - 2/8. Suppose 5*u - 12 = 13. Suppose -b - u + 6 = 0. Which is greater: c or b? b Let q = -0.5 - -0.24. Let z = q - 16.74. Let u = z + 16.9. Which is smaller: u or -1/2? -1/2 Let c = -23 + 20. Let q be -16*(-3)/(-126)*(2 - -7). Which is bigger: q or c? c Let h = -35934893/230 + 156239. Let l = -10/23 + h. Let w be (10 + -2 + -7)*0. Which is smaller: l or w? l Suppose -n - 4*n = 0. Let y(j) = -4*j**2 + j + 27. Let c be y(-5). Let a be ((-2)/c)/(2/6). Is a <= n? False Let p be (-1 - -3)/2 - -1. Suppose -5*t = -5*y - 105, t = 6*t + 3*y - 113. Let i = -18 + t. Which is smaller: i or p? p Suppose -2*f = 5*r + 3, -2*f = 5*r + 3*f. Let k = 203 - 18. Let b = k + -3516/19. Is b greater than r? True Let s = -0.5 - -0.6. Which is smaller: 99 or s? s Let t = -0.4 + 0.2. Let w = t + 0.3. Let u = 11110 + -11110.3. Is w less than or equal to u? False Let n = -132 + 186. Let q = 44 - n. Is -1 at most as big as q? False Let n(j) = 3*j + 6. Let l be n(-4). Let q(y) be the first derivative of -y**2 - 12*y - 140. Let m be q(l). Is 2/5 greater than m? True Let c(i) = -i**3 - 15*i**2 - 12*i + 4. Let k be c(-14). Let a = k - -40. Suppose a = 4*d - 4*x, 4*d + x - 6*x = 19. Which is smaller: 1/24 or d? 1/24 Let t(y) = y**3 - 14*y**2 + 18*y + 29. Let f be t(11). Which is smaller: f or -134? f Let l = -532 + 1089. Is l less than 558? True Suppose 0 = -7*z + 3*z - 8. Let q = 0.04 - -14.96. Let r = -15.1 + q. Which is greater: r or z? r Let b = 0.4 - 7.4. Let c = -250 - -250.151. Let h = c + 0.049. Which is smaller: b or h? b Let j be (102/(-15))/(6/50). Let a = j + 58. Suppose -5*h - 11*x = -12*x - 1, 0 = -h + 5*x - 19. Which is s
{ "pile_set_name": "DM Mathematics" }
-2*g - 19 = -4*q - 3*g, 4*q + 4*g = 16 for q. 5 Solve 5 + 17 = 5*o + 3*p, o = 5*p + 10 for o. 5 Solve -2*d = 4, 3*d - 14 = -2*r - 18 for r. 1 Solve -4*u + 5*u + 3*m = -17, u + 2*m = -12 for u. -2 Solve -5*i + 10 = -3*g, 3*g + 2*i - 10 = -3*i for g. 0 Solve -13*s - 2 = 2*l - 9*s, -3*l = -3*s + 12 for l. -3 Solve 0 = -10*u + 6*u - 2*t - 2, -5*u + 3*t + 14 = 0 for u. 1 Solve 2*i - 6*f + 6 = -8*f, 0 = 2*i + f + 8 for i. -5 Solve 5*m = 2*a + 14, -2*m - 4*a - 1 = 3 for m. 2 Solve -h - 2 + 0 = 0, 3*f = 3*h + 15 for f. 3 Solve -5*c = -2*j + 11, -5 = -4*j - 2*c + 5 for j. 3 Solve -2*a - 4*g = 29 - 1, g = -2*a - 13 for a. -4 Solve -5*w - 3*c + 9 = 0, w - 4*w - 4*c + 12 = 0 for w. 0 Solve 2*f = 4*z + 4*f - 18, 2*z - 24 = -4*f for z. 2 Solve n = 5*y - 12, 4*y = -3*n + 6*y - 10 for n. -2 Solve -2*y - 3*a - 3 = -4*a, 5*y - 3*a = -8 for y. -1 Solve 4*i = -2*p + 2, -2*p - 14*i + 13*i = -5 for p. 3 Solve 0 = -r - d - 4, 2*r + 32*d - 24 = 34*d for r. 4 Solve -f + 2 = 3*t - 8, 8 = 2*f for t. 2 Solve -15 = f - 5*l - 6, -3*l = f + 9 for f. -9 Solve -2*l = 3*f - 7, -3*l + f = -0*f + 6 for l. -1 Solve -5*s - 16 + 17 = 3*o, 2*o = 2*s - 26 for o. -8 Solve 3 = -4*b + 7*b - 5*r, -4*b = -5*r + 1 for b. -4 Solve 14*d = 11*d + 12, -5*m = 2*d + 2 for m. -2 Solve 2*i - 20 = -20*o + 16*o, -i - 15 = -3*o for o. 5 Solve -5*y = -3*j - 9, 13*j = -y + 11*j - 6 for y. 0 Solve -41*h + 8 = -39*h - 3*v, -4*h + 3*v + 4 = 0 for h. -2 Solve 3*i - q = -15, -5*q = -5*i - 4*q - 25 for i. -5 Solve 3*x - x + 5*m = 4, 8 = 4*x - 4*m for x. 2 Solve -4*u - 25 + 9 = 4*q, 3*q + 14 = -4*u for u. -2 Solve -3*p - 3*i - 3 = 0, 13 = 2*p + 31*i - 32*i for p. 4 Solve -24*c - 3*s = -22*c - 1, 3*c + 4*s - 2 = 0 for c. 2 Solve 0 = 4*x + q - 8, 0 = -4*x - 4*q + 24 - 28 for x. 3 Solve 2*d - 9 = -4*t + 15, 4 = -4*t + 5*d for t. 4 Solve j + 22 = -4*x, 2*x = x + 4*j + 3 for x. -5 Solve 3*f = 2*p - 10, -f = -3*p + f + 15 for p. 5 Solve 3 - 4 = -2*s - h, 1 = 5*s + 3*h for s. 2 Solve -4*m + 2*q = q + 21, 0 = 5*m + 3*q + 22 for m. -5 Solve 2*d + 8 = s + 6, -2*d = -2*s + 6 for d. 1 Solve -7*s + 7 = -8*s + 5*q, -q = 3*s - 11 for s. 3 Solve 5*s = x - 5, 6*s = -3*x + s - 5 for x. 0 Solve n = -4*d + 19, 5*d - 11 = -0*d + 3*n for d. 4 Solve 10 = 3*k + g, 0 = 4*k - 2*g + 41 - 71 for k. 5 Solve 5*m - z - 2 = 8*m, -2*m = -2*z + 12 for m. -2 Solve 3*z - 10 = -5*q, q - 7 = -2 for z. -5 Solve -4*q = 3*h + 32, -138*q - 2*h + 17 = -143*q for q. -5 Solve r = 2*d - 7, 10*r - 7*r + 5 = -2*d for d. 2 Solve -2 = 2*g - 2*f, f = -2*g + 4*g + 2 for g. -1 Solve z = 5*s + 25, -88*s - 10 = -4*z - 86*s for z. 0 Solve -4*h - 5*k = h - 10, 16 = -4*h + 4*k for h. -1 Solve 2*l + 16 = l - 5*a, -l + 8 = -3*a for l. -1 Solve 3*f = -3*r + 6 - 18, 4*r = -8 for f. -2 Solve -r = 3*n + 10, -5*r + 2*n + 11 + 7 = 0 for r. 2 Solve -166*s = -j - 161*s - 10, -5*s = -2*j - 5 for j. 5 Solve 2*z + 2*f - 12 = 0, 0*z + 5*z = 4*f + 12 for z. 4 Solve 9*f - 21 = 6*f - 2*l, -3*f + 18 = l for f. 5 Solve 0 = 3*a - 5*j + 16, -21*j + 17*j + 20 = 0 for a. 3 Solve 5*c + 5*d = 3*d - 18, c - 2*d + 6 = 0 for c. -4 Solve 26*k - 27*k = -5*x - 21, 0 = -4*x + 3*k - 19 for x. -4 Solve 4*q - 10 = 2*z, -5*q + z = -z - 12 for q. 2 Solve -5*u + 3 = -5*f - 3*u, u = 4 for f. 1 Solve -5*u = 6*n - 39, 4*u + 1 - 16 = -3*n for n. 9 Solve -30 + 5 = 5*k - 3*x, 13 = k + 3*x for k. -2 Solve 3*n - 10 = o, -3*o - 2*n + 21 = -4 for o. 5 Solve 0 = -5*a + n - 9, 2 = 5*a + 4*n + 16 for a. -2 Solve 0 = -4*l + 5*t - 30, 3*t - 4 = 4*l + 22 for l. -5 Solve -5*g = -4*a, -g + 84*a = 85*a for g. 0 Solve 0 = -5*t - 4*i + 12, -3*t = i - 24 + 14 for t. 4 Solve -2*m = m + 3*w - 27, 3*w = 4*m - 1 for m. 4 Solve -2*l = 2*k - 16, -3*k - 1 + 13 = 0 for l. 4 Solve 0 = -5*r + 3*w + 1 - 10, 0 = -5*r + 2*w - 11 for r. -3 Solve 3*c = -11*y + 15*y + 11, 0 = 5*c + 4*y + 35 for c. -3 Solve -4*b = -s + 11, 0 = -4*b + 3*s - s - 18 for b. -1 Solve -4 = -3*d - 3*w - 16, 3*d = 3*w for d. -2 Solve -j + 4*d + 10 = -6*j, -5*d = 0 for j. -2 Solve 0 = 2*c - s - 3*s + 18, 0 = 5*s - 15 for c. -3 Solve -7 = 5*w - 4*w + 5*s, -s - 7 = 3*w for w. -2 Solve -23 = 5*z - 2*m, 2*z + 2*m + 3*m + 15 = 0 for z. -5 Solve -2*k + 8 = -3*o + 13, 0 = 2*o + k - 1 for o. 1 Solve -3*h = -15, 0 = 5*s + 3*h + 27 - 37 for s. -1 Solve -7*f - j = -10*f + 2, 5*f + 5*j = 30 for f. 2 Solve -2*c + 4 = -3*g, -g + 3 + 9 = 2*c for g. 2 Solve -2*x = f + 1, 4*x = f - 1 - 10 for f. 3 Solve -2*a = -5*c + 4*c + 5, 8 = 3*c + a for c. 3 Solve 0 = -2*g - 3*m - 1, 4*g - 5*m + 40 = 5 for g. -5 Solve -q = -11*z + 7*z + 23, q = 3*z - 18 for z. 5 Solve 9 = 5*t - 6, u + 2 = t for u. 1 Solve 0 = k + 5*x - 11, 35 = 4*k - 9*k + 5*x for k. -4 Solve -25 = -37*m + 42*m - 5*s, -4*m + 2*s = 16 for m. -3 Solve -r = -g - 2*g + 13, 5*g - 29 = -2*r for r. 2 Solve 2*p = 5*t + 15, 0 = 2*p - 3*p - 4*t - 25 for p. -5 Solve 0 = 4*x - 5*o - 33, 8*o = 5*x + 10*o for x. 2 Solve 9*q + 20 = 14*q + 5*b, 2*b - 15 = 5*q for q. -1 Solve -3*k - 3*z = 18, -k + 2*z - 2 = 1 for k. -5 Solve -2*a + 10 = -0*a - 4*m, -4*m + 2 = 2*a for a. 3 Solve 0 = 5*x - 4*u + u - 27, -4*u - 31 = -5*x for x. 3 Solve 2*l - 3*n - 28 = -9*n, -n = 3*l - 10 for l. 2 Solve 2*b - 3*y = -7, 113 - 115 = -3*b + 2*y for b. 4 Solve -5*j + 5*n - 10 = 0, -5*n = -181*j + 179*j - 13 for j. 1 Solve 0*t + 3*o = -4*t - 31, 5*o + 41 = -4*t for t. -4 Solve 5*y + z + 3*z = 19, 4*y - 5*z = 7 for y. 3 Solve 4*h - 6 = 5*m, 0*m + 5*m = 5*h - 5 for m. -2 Solve 2*n - 3*j - 7 = 0, -4*n + 3*j + 13 = -2*j for n. 2 Solve -q + 2*q = 2*k - 1, -5*q = 5*k - 10 for k. 1 Solve 4*n = x + 29 - 32, -3*n - 8 = 5*x for n. -1 Solve f + 5*x + 9 = 0, 4*x = 3*f - x - 13 for f. 1 Solve 0*m = n - 2*m - 1, 0 = 5*n + m + 17 for n. -3 Solve 4*l - 9 = g, 4*l + 0*l + 2*g - 18 = 0 for l. 3 Solve 0 = -2*a + 2*p + 8, 4*p - 10 = -6 for a. 5 Solve -4*u + 1 = 2*s - 15, 4*u = 20 for s. -2 Solve -28 + 42 = -3*c + 5*n, 18 = -5*c + 3*n for c. -3 Solve -4*v = -2*k - 24, -5*k + 2*v = -15 + 43 for k. -4 Solve -w + 2*m = -0*m + 11, 0 = 4*m - 20 for w. -1 Solve 3*x + 37 = 5*w, 5*x - 33*w = -30*w - 35 for x. -4 Solve -5*f = -g - 21, 13*g + 5*f = 9*g + 16 for g. -1 Solve -c + 15 = -2*l - 2*l, -4*l - 5*c = -3 for l. -3 Solve -3*i = 7*w - 10*w + 3, -w - 11 = 2*i for w. -3 Solve -3*a - 6 = -4*u + u, -4*u = -3*a - 10 for a. 2 Solve -c - 4 = -k, 3*k - c = -4*c for k. 2 Solve 19 = -3*l - 4*j, 3*j + 6 = -5*l - 11 for l. -1 Solve -5*j = g + g - 9, 4*g = -5*j + 3 for j. 3 Solve 4*a + 0*a = 3*y - 10, 5*y = -3*a + 7 for y. 2 Solve y - 1 = -n, 3*y + 5*n - 15 = 8*n for y. 3 Solve 5*u = -b + 31, 2*b - 6*u + 19 + 15 = 0 for b. 1 Solve 0 = 3*v + 2*g + 2, -5*g = v + 12 + 6 for v. 2 Solve -l = 3*a + 2*a - 26, -5*a + 4*l = -21 for a. 5 Solve -5*a = 4*u + 19, 2*a + 2 + 0 = 4*u for u. -1 Solve 2*a - 8 = 4*m, 3*m = 59*a - 56*a - 9 for m. -1 Solve -4*j = n - 2, 6*n - 4*n = 2*j + 4 for j. 0 Solve -5*l - 4*j - j - 30 = 0, 0 = 5*l - j + 6 for l. -2 Solve 3*k + 11 = -4*h, -10 = -0*k + 2*k for h. 1 Solve -v - 2*s - 4 = 0, s + 4 = -v + 2*s for v. -4 Solve 4*z - 4*m + 20 = 0, 3*z + 6*m = 5*m + 1 for z. -1 Solve -25 = -3*x + 8*x + 5*h, 0 = 2*h + 6 for x. -2 Solve z + 11*l - 1 = 6*l, 0 = -4*z - 2*l + 22 for z. 6 Solve -g - 1 = u, -39*g + 55 = -34*g - 5*u for g. 5 Solve 2*y - 12 = 4*j - 20, 20 = 5*j for y. 4 Solve 3*x + 3 = -3*o, x - 1 = 3*o + 6*x for o. -2 Solve -2*j - a = -5, 2*a + 7 = -5*j + 6*a for j. 1 Solve -5*t = -4*i + 61 - 48, 3*i + 4*t - 2 = 0 for i. 2 Solve 4*b - 5 = 5*h, b - 2*h + 10 = 15 for b. -5 Solve 2*b = -2*j + 6, -4*b + j = 2*j for b. -1 Solve -3*o = -3*p + 6, -3*p - 39 = 2*o - 25 for o. -4 Solve 4*a + 5*r + 9 = 0, -a - 1 = r + 1 for a. -1 Solve 3*j = -3*s - 9, 134*j - 4*s = 131*j - 16 for j. -4 Solve m = 2*x + 11, 4*x - 3*x + 6 = m for x. -5 Solve -5*q + 0*j + 7 = -4*j, -3*q = -5*j - 12 for q. -1 Solve 3*r = -s + 9, 5 - 4 = -3*s + 5*r for s. 3 Solve 2*h = -2*r, r - 2 = 3*h + 6 for h. -2 Solve -4*g + 3*o = -12 - 2, -3*g - 3*o + 21 = 0 for g. 5 Solve t + 5 = -2*l, 25 = -3*l - 36*t + 38*t for l. -5 Solve -3*j = -2*g - 5, -3*j = -4*g - 2 + 1 for g. 2 Solve 0 = -2*y - y - 5*a - 40, 0 = -3*y + 3*a for y. -5 Solve l = 3*y + 20, 20 = 7*l - 9*l - 4*y for l. 2 Solve j - 6 = 0, -3*p + 12*j - 24 = 10*j for p. -4 Solve u = -4*m + 21, 2*m + 3*u - 8 - 5 = 0 for m. 5 Solve 3*a + 15 = -5 + 14, a = r for r. -2 Solve -6*x +
{ "pile_set_name": "DM Mathematics" }
)/(-4)*(2 - 1). Sort 2, 1, f, -2. -2, f, 1, 2 Let b = 1 - 0. Suppose -19 = 3*k - 4. Let u be 160/(-48) + 1/3. Sort k, b, u. k, u, b Let w = 143 - 144. Put w, 1, -29 in descending order. 1, w, -29 Let g = -16 - -11. Sort g, 3, 0. g, 0, 3 Let y be (19/(-38))/(0 - -1). Suppose -2*k + 1 - 11 = 0. Let h = k - -3. Put y, h, 5 in descending order. 5, y, h Let z(h) = h**2 + 21*h + 38. Let a be z(-19). Suppose -4*q = -8*q. Suppose 4*u + 9*w - 4*w + 16 = 0, 2*u - w - 6 = q. Put u, -2, a in ascending order. -2, a, u Let y = -2.2 - 7.8. Let c = -9.9 - y. Sort c, -0.4, 3 in decreasing order. 3, c, -0.4 Let b = -1/16 - -19/48. Let y = 4.8 + -5. Sort y, -4, b in decreasing order. b, y, -4 Let t(i) = i - 6. Let b be t(9). Suppose -b*u + 18 = -27. Let y be 1/3 - 80/u. Put y, 1, 5 in ascending order. y, 1, 5 Let z = 4 + -5. Suppose -2*q + 6 = -0. Let h be 0 + 0 + q/5. Put h, 2, z in ascending order. z, h, 2 Let g = -18 - -21. Sort 4, -6, 2, g in descending order. 4, g, 2, -6 Let z = 7.2 + -25. Let v = -18 - z. Put -2/9, v, 2/9 in decreasing order. 2/9, v, -2/9 Suppose -2*a + 4*j = 2*a - 36, 5*j + 25 = 0. Suppose c = -x, -4*x = a*c - 3*x + 12. Let d(t) = -2*t + 1. Let b be d(2). Sort c, b, 3. c, b, 3 Let i be 1*2/(-2) + -3. Suppose -2*v = 4*y - 20, -2*v = -y + 3*v + 5. Suppose 0 = 4*k + 5*j + 12, 2 = -k + j + 8. Sort i, k, y in ascending order. i, k, y Suppose o - 6*m = -4*m - 9, 2*m + 6 = -2*o. Sort 4, o, -3 in decreasing order. 4, -3, o Let m = 178 + -887/5. Sort 2, m, -3 in increasing order. -3, m, 2 Let c be 12/(-8) + 2/(-4). Let b(x) = -x**3 + x**2 + 4*x - 4. Let o be b(3). Let a be (-3)/(-9) - o/6. Sort a, c, 0. c, 0, a Let n = -3 - -6. Let c = 6 - n. Suppose 0 = -l - 2*y + 8, 4*l + c*y + 0 = 12. Sort 3, -1, l. -1, l, 3 Suppose -6 = -5*p - 21. Sort 5, p, -4. -4, p, 5 Let b(u) = u**3 - 3*u**2 - 1. Let m be b(3). Let x = 6 - 11. Let t be (x/(-1))/(3 + -2). Sort m, t, -3 in decreasing order. t, m, -3 Suppose 5*v = -0*v. Let u = -16 - -11. Sort 1, u, v in ascending order. u, v, 1 Let l(f) = f**2. Let a(z) = -z**3 - 4*z**2 + 2. Let w(s) = a(s) - 6*l(s). Let c be w(-10). Suppose 0 = 2*k - 3*v + 15, -v = -2*k - 0*k - 9. Sort k, c, -4. -4, k, c Let z = -10 + 10. Sort -3, 2, z. -3, z, 2 Let a(g) = -6*g**2 + 2*g + 5 + g**3 - 6*g - 4*g. Let p be a(7). Put p, 0, 5 in descending order. 5, 0, p Let v = -27 - -15. Let h be 8/12 + 14/v. Let g = -4 - -4.2. Sort g, -2, h. -2, h, g Let z = -0.08 + 0.02. Let h = 0.49 - -4.51. Sort z, h, 2/3 in increasing order. z, 2/3, h Let j = 0.8 - -0.2. Let v = j + 1. Let l = v - 2.4. Sort 5, l, -2 in decreasing order. 5, l, -2 Suppose 4*v + 3*r = v - 3, -v = -2*r + 1. Sort 4, -2, v, 1 in decreasing order. 4, 1, v, -2 Let d = 1 - 3. Let x = 3 + -4. Put d, -0.5, x in decreasing order. -0.5, x, d Let h = 24 - 11. Let c = h - 21.5. Let z = 9 + c. Put z, -5, 2/17 in increasing order. -5, 2/17, z Suppose -5 = -5*m - 3*p - 20, 4*m = -3*p - 12. Let c = -69 + 68. Sort 1, c, m. m, c, 1 Let a(v) = v**3 - 7*v**2 - 8*v + 4. Let t be a(8). Suppose z + t = -0*z. Let m = z - -2. Put -3, 3, m in decreasing order. 3, m, -3 Suppose -t + 12 - 17 = 0. Sort 25, t, -3. t, -3, 25 Suppose 2*w - 3 = 3*w, 5*u + 2*w = -31. Let x(k) = k**3 + 4*k**2 - 5*k - 2. Let l be x(-5). Let n be 2 + 6*4/(-8). Sort n, l, u in ascending order. u, l, n Suppose 1 + 3 = 2*v, 0 = 3*b + 4*v - 32. Suppose 3*j = 2*j - 3*m - b, j + 2*m = -5. Put j, -0.3, -3 in descending order. j, -0.3, -3 Let n be -2*(0 - 1/2). Suppose 3*i + 11 = -r, -5*r = 5*i + 24 + 1. Sort n, 5, r. r, n, 5 Let w = 9 - 8.91. Let a = -4.09 + w. Put 1/2, a, 2 in descending order. 2, 1/2, a Let g = 6.25 + -6. Let s = g + -1.25. Put 4, -1/3, s in decreasing order. 4, -1/3, s Let f = 73 + -72. Sort 4, f, 7, 1/2 in descending order. 7, 4, f, 1/2 Let a = 0.13 - 1.93. Let g = a + -0.2. Sort g, 7, 0.4. g, 0.4, 7 Suppose -f - f = 6. Sort -0.4, f, 2/3. f, -0.4, 2/3 Let x(v) = 26*v**3 + 2*v**2 + 2*v. Let b be x(-2). Let r = 3062/15 + b. Sort r, 1, -4. -4, r, 1 Suppose 3*j = -0*j - 12. Let q = j - -4. Sort -0.5, -4, q in decreasing order. q, -0.5, -4 Let r = 25 + -30. Sort -0.01, r, -4, 0.5 in increasing order. r, -4, -0.01, 0.5 Let x be ((-3)/(-1) + -1)/(-2). Let i be -1 - x - 3479/77. Let m = i - -45. Sort m, 0, 3 in increasing order. m, 0, 3 Let y = -12 + 11.95. Sort 0, y, 4 in increasing order. y, 0, 4 Let j(t) = 3*t - 1. Let v be j(3). Let g be 7/(-21)*3/v. Sort -0.4, g, -0.2 in increasing order. -0.4, -0.2, g Let f = 15 - 17. Put 0, -2/9, f in decreasing order. 0, -2/9, f Let l(b) = b - 2. Let c be l(-6). Let k be (c/(-28))/(15/7). Let j(v) = v**3 - 11*v**2 + 3. Let a be j(11). Sort k, a, -4 in descending order. a, k, -4 Suppose 4*l + 20 = -0. Sort l, 0, -4 in descending order. 0, -4, l Let i = -0.4 + 0.5. Let v = 2 - 3. Let p = v + 0.9. Sort i, -1, p in descending order. i, p, -1 Let b(d) = d**2 - 9*d - 8. Let i be b(10). Sort -2, i, -5 in increasing order. -5, -2, i Let i = 0.56 - 0.86. Put i, 4, -0.5, 2 in decreasing order. 4, 2, i, -0.5 Let s = 0 + 3. Let t be 5/s + 2*-1. Sort 1/3, t, 2. t, 1/3, 2 Let q = -8.33 - -16.39. Let m = q + -0.06. Let f = m + -8.3. Sort -0.5, f, -2/5 in decreasing order. f, -2/5, -0.5 Let t = 3.2 - 2.8. Let h(p) = p - 2. Let q be h(0). Put q, t, 0.5 in descending order. 0.5, t, q Let f = 1.95 - -0.05. Let n be (2/4)/(12/(-1880)). Let m = -79 - n. Put m, f, -3 in ascending order. -3, m, f Let k be (2/(-18))/((-1)/(-3)). Sort -0.3, -3, k, -5 in descending order. -0.3, k, -3, -5 Let j = 0.3 - 0.8. Suppose -2*s - 3*s = 0. Put -4, j, s in increasing order. -4, j, s Let k = -2 + 1.8. Let v = k - -1.2. Let o = 0.5 - v. Put 0, o, -0.2 in decreasing order. 0, -0.2, o Let d = 4723/14 - 337. Let u = -73/126 + d. Let l = -7 + 3. Put -1, u, l in ascending order. l, -1, u Suppose 0*m + m + 15 = 4*j, 0 = 2*j + 5*m - 13. Put 14, 3, j in increasing order. 3, j, 14 Let m be ((-3)/(-9))/((-3)/18). Let q = 0 - m. Put q, -3, 1 in decreasing order. q, 1, -3 Let n(h) = -h**2 - 6*h + 10. Let y be n(-7). Suppose -3*u - 3 = x - 2, 0 = -3*x + y*u + 9. Let k be (2 - 1) + 3 + 1. Sort k, 0.4, x in descending order. k, x, 0.4 Let g = 0.82 + -5.92. Let i = g - -0.1. Put i, 5, 3 in descending order. 5, 3, i Let l = 13.3 + -14. Let s = -2.3 + l. Sort 3/4, -4, s in descending order. 3/4, s, -4 Let y be (3 + -3)/2 + 2. Put -3, 5, y in decreasing order. 5, y, -3 Let p(s) = 5*s - s + 2 - 3. Let j be p(-1). Sort j, 1, 0 in descending order. 1, 0, j Let c be (6/4)/((-329)/94). Let t be (-26)/42 - 2/(-6). Put c, -4, t in increasing order. -4, c, t Suppose 0 = -v - 4, 0*u + u + 2*v + 12 = 0. Let i be 0 + 1/1 + u. Let z = i + 2. Sort -2, 1, z in decreasing order. 1, z, -2 Suppose 8*d - 4 = 4*d. Put d, -5, -3 in descending order. d, -3, -5 Let i be 9/12 + 19/(-36). Let d = 19.1 + -19. Sort -0.1, d, i. -0.1, d, i Let z = 8 + -16. Let s = z + 1. Sort -4, s, 5 in increasing order. s, -4, 5 Let o = 37 - 34. Let a be (-18)/14 - (-2)/7. Let z = 2 + 3. Sort a, o, z. a, o, z Let b = 0.37 + -0.4. Let z = b - -2.03. Let n = 112.4 + -112. Sort z, n, 3/5 in decreasing order. z, 3/5, n Let o be (2 - 2)/(2 + 0). Suppose -3*j + 2*h - 15 = 0, o = -5*j + j - 4*h. Let b(a) = 5*a + 20. Let r be b(-4). Sort j, r, -5. -5, j, r Let x = -4.6 + 5. Let f = -6 - -11. Let p = f - 21/4. Sort p, x, 3 in decreasing order. 3, x, p Let b be 2 + (0 - 5) + (6 - 0). Sort -7, -1, -5, b. -7, -5, -1, b Suppose -2*w + 6*w = 32. Sort 0, w, -4 in decreasing order. w, 0, -4 Let s be (-39)/(-15) - (-2)/5. Sort -4, s, -8 in increasing order. -8, -4, s Let i be 33/27 + -2 + 1. Let m(h) = h**2 + 19*h - 63. Let l be m(-22). Sort i, l, -1 in decreasing order. l, i, -1 Let l be (2 + 0)/(1 - 3). Suppose 0 = -3*f - 7 - 5. Let y = 121 + -121. Sort l, f, y in ascending order. f, l, y Let d = -12 + 18. Let c = -4.99 - 0.01. Let n = c + d. Sort -0.4, n, -1/3 in ascending order. -0.4, -1/3, n Let t = 91 - 29. Let r = -56.7 + t. Let u = r - 5. Sort -3/2, 1/3, u in ascending order. -3/2, u, 1/3 Let y = -24 + 24.28. Let h = y - -1.72. Put 0.7, h, 3/5 in descending order. h, 0.7, 3/5 Suppose 18 = l + 21. Sort 1, l, -1 in decreasing order. 1, -1, l Let i = -37.2 + 37. Sort 7, i, -0.3 in decreasing order. 7, i, -0.3 Suppose -8*f + 13*f = -30. Sort 1, 4, -1, f in descending order. 4, 1, -1, f Le
{ "pile_set_name": "DM Mathematics" }
What is the biggest value in 0, 0.1, u, a? u Let w = 38 - 33. Let l = 2 + -14. What is the biggest value in l, -3, w? w Let k be 304/6 - (-2)/6. Suppose 4*h + k - 59 = 0. What is the smallest value in -2/5, -0.5, h? -0.5 Let w = -27 - -43. Let g = w - 14. Let q = 184/595 + -2/85. Which is the biggest value? (a) -1/8 (b) q (c) g c Let i = 5 + 1. Let l be (-10)/7 - (i + -7). Which is the third biggest value? (a) -1 (b) l (c) 0.08 a Let h = 32 - 31.16. Let d = h + -0.14. Let o = 193 - 198. Which is the second biggest value? (a) o (b) d (c) -2/11 c Let k = 73.4 - 76.4. What is the third smallest value in k, -1/5, 41/3? 41/3 Let m = -34 - -21. Let u = -19 + 55. Let v = u - 36. What is the biggest value in -4, v, m? v Let d = 3.8 + -3.743. Let t = d - -0.243. What is the second smallest value in -1/3, 3/4, 2/3, t? t Let l = 3/23 - 121/46. Let j = 175.4 + -207. Let o = 32 + j. Which is the smallest value? (a) l (b) 3 (c) o a Suppose 3*f + 0*q - 2*q = 11, f = -2*q + 9. Let x be -98*f/510 - -1. What is the smallest value in x, 0, -2/5? -2/5 Let t = -0.461 - 0.039. Let l = -7 - -7.3. What is the fourth smallest value in t, -1/12, l, 0.1? l Let a = 167 - 162. What is the biggest value in 28/9, 1/3, a? a Let c = 598 + -598.1. What is the fourth biggest value in c, 1/10, 3, -11/2? -11/2 Let n = 6.941 + 0.059. Let r = 0.035 + 6.765. Let w = r - n. What is the third biggest value in -3, 0.1, w? -3 Suppose -3*v + 7 = -3*p + 1, 25 = -5*p. Let x = 0.05 - 0.65. Let y = x + -7.4. What is the third smallest value in 0, v, y? 0 Let q(x) = -5*x - 4. Let b(c) = c**2 - c. Let m(p) = -b(p) + q(p). Let u be m(-2). Suppose -4*a + 4 = -u*a. What is the third biggest value in 0.2, 0.04, a? 0.04 Suppose -5*l = -2*l - 6. Let j = -58 - -65. What is the second smallest value in j, -0.3, l? l Let p = -186 - -189. What is the fourth biggest value in -3, 14, p, 3/4? -3 Let m = 109.7 + -110. Let q be (5 - 6)*(-2)/(-2). Let t = 0 - -1. Which is the biggest value? (a) t (b) q (c) m a Let u(j) be the second derivative of j**4/12 - 2*j**3/3 - 11*j**2/2 - 16*j. Let d be u(5). Which is the smallest value? (a) 5 (b) d (c) -5 b Let q = 251 - 249. Which is the second smallest value? (a) -47 (b) q (c) -0.1 c Let u = -0.771 - 0.229. What is the third biggest value in u, 0.13, -3? -3 Let i = -11 + 7. Let j = -4.8898 - 0.1102. Which is the second smallest value? (a) j (b) i (c) -3 b Let j = -0.06 - 0.24. Let r be -2 + (18/(-8) - (-8)/32). Let s = -0.64 + 0.74. Which is the smallest value? (a) r (b) s (c) j a Let c = 1927/39 + 88/39. What is the third smallest value in -5, c, 3/8? c Let h = -11.3 - -11. Let v = 6 - 6.01. Let g = -4.99 + v. What is the third smallest value in -4, h, g? h Let o(y) = y**2 + 4*y - 9. Let i be o(-3). Which is the third smallest value? (a) -2 (b) 5 (c) -13 (d) i a Let t be 0 + 0/(-1 + 4). Let v(d) = -d**2 + d + 3. Let h be v(t). Let m be 0/(-5) - 2/(-7). What is the second biggest value in h, m, 1? 1 Let l = -91 - -95. Let d = -29 - -28.58. Let o = d - -0.02. What is the third biggest value in l, 3, o? o Let o = -659 + 658.8. Which is the second smallest value? (a) -0.02 (b) o (c) -54 b Suppose -j + t + 21 = 0, -3*j - j - 5*t = -39. Suppose 2*k = -2*k - j. Let p = 0.04 - -0.96. Which is the biggest value? (a) k (b) p (c) -5 b Let z be 40/30*(-2)/(-12). What is the second biggest value in 8/9, z, 2? 8/9 Let k = -353/2406 - 8/401. Which is the second smallest value? (a) k (b) -2/5 (c) -1/265 a Suppose 0*s - 3*m - 17 = -4*s, 4*s - 5*m - 15 = 0. Let r = -41 - -40. Let g be ((-2)/2)/(r + (-4)/12). Which is the second biggest value? (a) -2 (b) s (c) g c Let n be 54/21 + 0 + -2. Let s = 9.2 - 6.2. Let x = 0.1 - 0.4. What is the biggest value in n, x, s? s Let i = 2367/4 - 592. What is the third smallest value in 0, i, -3, 1? 0 Let v = 2711/3080 - 2/385. Let l = v + -43/40. Let w = -7 + 5. What is the second smallest value in w, -4, l? w Let x = -0.6 - 0. Let q = -8178/7 - -1168. Let h be 1/14 - 4/8. What is the third smallest value in h, q, x? q Let n = -7 + -8. Let o = n - -14. What is the fourth biggest value in o, -1/2, -0.1, -2? -2 Let t = 0.7 - 2.5. Let f = t - 2.2. What is the smallest value in f, 1/3, 0.5? f Let v be ((-6)/15)/((-2)/40). Suppose u = 3*t - v, u + u - 4*t + 14 = 0. Which is the third smallest value? (a) u (b) -1/4 (c) 3 c Let t = 3.411 - 0.411. Which is the smallest value? (a) 20 (b) -2 (c) t (d) -1 b Suppose 0*m + m = -3. Let v be (2 + (m - 4/(-4)))/(-1). Which is the second smallest value? (a) 2/7 (b) v (c) 0.04 c Let o = 28.7 + -28.7. What is the third biggest value in -2/19, o, -2, 2? -2/19 Let v = -0.3 + -0.7. Suppose 4*d - 2*u + 24 = 0, 4 = -0*u - 2*u. Let l be (-6)/(-70) - ((-56)/(-40))/d. What is the third smallest value in v, -4, l? l Let m = 191.81 + -193. Let k = -1.69 - m. Which is the second smallest value? (a) 1 (b) k (c) -7/3 b Let q = 6/37 + -188/703. Let t be -19 - -25 - (-4)/(4/(-9)). What is the biggest value in t, q, 1, 1/4? 1 Let o = -6/523 + -836/18305. Let d = 0.1 + -0.2. Let k = -11711 - -11707. What is the third biggest value in o, d, k? k Let l(y) = 6*y**2 - 1. Let o be l(-1). Let q be (1/(-94))/(2/4). Let i = 42/235 - q. What is the second biggest value in -0.5, o, i? i Let n = 4 - 6. Let r = 187.7 + -174. Let s = r + -14. Which is the biggest value? (a) -0.2 (b) s (c) n a Let d be (-261)/(-165) + (-518)/370. Let n = -3 + 3.4. What is the second smallest value in n, d, 0.5, -1/6? d Let k = 15/8 - 121/56. Let q = 0 - 5. Let p be ((-301)/(-35) - 7) + -2. What is the biggest value in p, q, k? k Let r be (6/20)/3 + (-2 - -2). Which is the third smallest value? (a) r (b) 20 (c) 0.4 b Let a = -2.917 - 0.083. Let n = 2/7415 - 139404/7415. Let o = 737/40 + n. What is the second smallest value in -2, a, o? -2 Let i(d) = -6*d + 113. Let l be i(20). What is the second biggest value in -3, l, 3, -0.2? -0.2 Let f be (-3 + 2)/((-3)/15). Which is the third smallest value? (a) f (b) -1.7 (c) -5 a Let d = -83 - -34. Let q = -53 - d. Let k = 3 - 2.5. What is the third smallest value in q, k, 1? 1 Suppose -6*q = -2 + 62. Let x be (-4)/q - (-28)/(-1120). Which is the third biggest value? (a) 2 (b) 1/3 (c) x b Suppose -53 = -20*w + 47. Which is the third smallest value? (a) w (b) -8/19 (c) 0.1 a Suppose -4*b - 3 = -3*d, -20*b = -4*d + 74 - 26. Let t = 17.83 - -0.17. What is the smallest value in 5, t, b? b Let r = -273.8 - -274.2. What is the second smallest value in r, 5, -0.01, -0.4? -0.01 Let i = 29.029 + -0.029. Let v = i - 29. Let d = 8 + -3. Which is the smallest value? (a) 4 (b) v (c) d b Let q = -729 - -749.15. Let j = 20 - q. Let n = j - 0.35. What is the third smallest value in -1/7, n, -2? -1/7 Let m = -3.7 + 23.7. Let q = 21.9 - m. Let o = -6.9 + q. Which is the second biggest value? (a) 0.3 (b) o (c) 3 a Let t be ((-1)/3)/(-6 - (-9)/1). What is the fourth biggest value in t, -1, 1, 4? -1 Let k(w) = 21*w - 10. Let i be k(7). Let s = i + -2875/21. What is the second biggest value in 2, s, -4/5? s Let t = 1 - 1. Let b = -1915 + 1912. What is the second biggest value in b, t, 3? t Let f be 370/(-130) - (-5 + 2). What is the third smallest value in 45, f, -5? 45 Let m = -63 - -63.425. Let s = -0.025 + m. Suppose 2*k + 20 = 5*w, 6*w = 5*k + 2*w + 33. Which is the third biggest value? (a) 1 (b) s (c) k c Let t = 67/26 + -31/26. Which is the smallest value? (a) -2 (b) 3 (c) t a Let i = -811 + 818. Which is the biggest value? (a) 3 (b) 4 (c) i (d) 1 c Let r = -2.105 + 0.895. What is the fourth smallest value in -0.3, -0.5, -2, r? -0.3 Let w be -47 + 47 - (-1)/(-4). Which is the smallest value? (a) w (b) -75 (c) -2 (d) 0.1 b Let z = 0.4 - 0.5. Let a = -14.1 - z. Let p = 14 + a. What is the smallest value in 4, p, -0.5? -0.5 Let g = -46 + 89. Let m = g - 43.07. What is the third biggest value in m, -0.5, 0.3, -1? -0.5 Let s = 0.44 + -0.04. Let d = -1269929 - -1120077577/882. Let o = -1/294 + d. What is the third biggest value in s, o, 3? o Let r(n) = 4*n**2 + 11*n + 5. Let u be r(-2). What is the third biggest value in -172, -1/2, u? -172 Let f be (-2 - -2) + 4/7. Let x = -9 + -5. Let o = x - -12. What is the smallest value in o, -5, f? -5 Let x = 0
{ "pile_set_name": "DM Mathematics" }
0*r + (-2 + 2 + 1)*(-7*r - 5*r**3 + 635*r**2 - 635*r**2). r**3 - 7*r Expand -168 + 336 - 136*j**2 - 165 + (0 - 1 + 3)*(0*j**2 + 2*j**2 - 4*j**2) - j**2 + 2*j**2 + j**2. -138*j**2 + 3 Expand (-44 + 7*j**4 + 44)*(-4*j + 3*j + 2*j). 7*j**5 Expand -2324*j + 1155*j + 1143*j + 2*j + 0*j + j + (3*j - 7*j + 2*j)*(1 + 1 + 0). -27*j Expand (4 + 2 - 4)*(15*z + 5 + 30*z - 33*z)*(-2*z**2 + 2*z**2 + 2*z**4). 48*z**5 + 20*z**4 Expand (134*g - 1323*g - 675*g)*(1 + 2*g - 1). -3728*g**2 Expand 3*t**5 + 3*t**5 - 10*t**5 + (-t**4 - 2*t + 2*t)*(-4 - t - t + 5)*(-2 + 0 - 2). -12*t**5 + 4*t**4 Expand (1 - 1 - y**2)*(-2 + 0 + 1)*(19*y + 4*y - y). 22*y**3 Expand 7*k**3 + 0*k**3 - 6*k**3 + (3*k**3 + 5*k**3 - 6*k**3)*(-12 - 3 + 1). -27*k**3 Expand (2*c - 4*c - 2*c)*(558*c**2 + 128*c**3 - 558*c**2)*((5 - 1 - 2)*(-5 + 3 + 4) + 3 - 5 + 4). -3072*c**4 Expand (-433 + 113 + 168)*(0 + 3 - 2)*(v**4 - 7*v**4 + 2*v**4). 608*v**4 Expand (32*l**3 + l**3 + 15*l**3)*(0 - 7 - 3). -480*l**3 Expand (4*c + 0*c - 3*c)*(-2 + 0 + 3) - 120*c + 123*c + 1 + 3. 4*c + 4 Expand (-a**2 - 39*a + 39*a)*(-5 + a + 5 + (4 - 5 + 3)*(2*a + 0*a + 0*a) + a + 4 - 4 - 2*a + a + 3*a). -8*a**3 Expand -3*k**4 + 5*k**4 + 0*k**4 + 4*k - 6*k**4 - 4*k - 2*k**4 - k**4 + 4*k**4 + (0*k**3 + 5*k**3 - 3*k**3)*(2*k + k - 2*k) - 12*k**3 + 12*k**3 - 4*k**4. -5*k**4 Expand (-78*w**4 - 158*w**4 - 362*w**4 - 446*w**4)*(-4 + 3 + 3). -2088*w**4 Expand ((4 + 1 - 3)*(-5*s**2 + 5*s**2 - s**2) + 0*s**2 + 0*s**2 - s**2 - 24*s**2 + 544*s - 544*s)*(s + 0 + 0). -27*s**3 Expand 2*u - 2*u + u + (2 + 2 - 2)*(-2*u + u + 0*u) + u + 2*u - u - u - 2*u + u + (-3 + 5 + 0)*(-7*u + 3*u + 14*u) + 3*u + 3 - 3 + (-2 + 2 + 2*u)*(-1 + 2 + 0). 24*u Expand (7 - 8 - 10)*(5*q**2 - 28*q**3 + 24*q**3 - 2*q**2 - q). 44*q**3 - 33*q**2 + 11*q Expand (0*c**2 + 2*c**2 - 7*c**2)*(64*c**2 + 18*c**3 - 64*c**2). -90*c**5 Expand (0*v**3 - v**3 + 3*v**3 - 5*v**3 + 12*v**3 - 2*v**3 + (1 + v**3 - 1)*(-2 + 0 + 3))*(-13 - 3*v + 13)*(-2 - 1 + 5). -48*v**4 Expand (92 - 383 - 35 - 398)*(m**5 + m**2 - m**2). -724*m**5 Expand ((-2 + 2 - 2)*(2 + 4 - 7) + (0 + 3 - 4)*(-1 + 3 - 3))*(7 - 7 + 5*m). 15*m Expand (150*u - 63*u - 33*u)*(3 - 1 + 0). 108*u Expand 3*u - 3*u - 4*u**4 + (-4*u**3 - 2*u**3 + 2*u**3)*(-2*u + 4*u - u) + (u + 4 + u**3 - 4)*(2*u - u + 0*u). -7*u**4 + u**2 Expand 354*w**2 - 250*w**2 - 201*w**2 + (3*w + 2*w - 4*w)*(-w + 1 - 1). -98*w**2 Expand -2*n**4 + 2*n - 6*n**4 + 5*n**4 + (-20*n**2 + 20*n**2 - 7*n**3)*(3*n + 4*n - 3*n). -31*n**4 + 2*n Expand (0 + l + 0)*(2 - 2 + 3*l**2) + 2*l**3 - 2*l**3 - l**3 + (6*l - l - 4*l)*(4*l**2 + 0*l**2 - 6*l**2) - l**3 + 0*l**3 + 2*l**3. l**3 Expand (-2 + q**3 + 2)*(3 - 3 - 1) + 0*q**3 + 3*q**3 + 2*q**3 + (-2*q + 26 - 26)*(-7*q**2 + 2*q**2 + 2*q**2) + 4*q**3 - 5*q**3 - q**3. 8*q**3 Expand (36*g + 0*g**2 + 16 - 37*g - 2*g**2)*(3*g**2 - 3*g**2 - 2*g**3). 4*g**5 + 2*g**4 - 32*g**3 Expand (-p + p - 2*p)*(2*p - 3*p + 0*p) + 3*p - 3*p + p**2 + 2*p**2 - 12*p + 12*p + 23*p**2 - 348*p + 348*p. 28*p**2 Expand (13*y**2 - 13*y**2 + 17*y**2)*(6 + 1 - 3)*(1 + 2 - 2). 68*y**2 Expand m**3 + m**3 - 3*m**3 + (5*m - 6*m + 3*m)*(2*m**2 + 2*m**2 - 7*m**2) + 2*m**3 + 11*m**3 - 8*m**3. -2*m**3 Expand (-8*y + 5*y - 8*y)*(8*y + 2*y - 3*y). -77*y**2 Expand (-f**2 - 2*f**2 + 2*f**2)*(26*f - 237*f - 206*f). 417*f**3 Expand 3*f**5 + f**5 - 5*f**5 + (1 - 1 + 2*f**2)*(-2*f**3 + 0*f**3 + 3*f**3) + f**2 - f**2 + f**5. 2*f**5 Expand 0*r + 2*r - 4*r + (-r + 2*r + 0*r)*(-4 + 3 + 2) + 2*r - 2 + 2 - 2*r + 8*r - 2*r - 3*r + r + 3*r + (5 + 0 - 1)*(-2*r + 0 + 0). -2*r Expand (53 - 47 - 56)*(3*u - 1 - 4*u + 4)*(-u + 3*u + u). 150*u**2 - 450*u Expand (-3*u**3 - 5*u**2 + 5*u**2)*(2 - 4 + 1) + (-5*u + 3*u + 5*u)*(4 - 4*u**2 - 4). -9*u**3 Expand (-2 + 2 + 2*a)*(-35*a**4 - 3*a**3 - 970*a**2 + 970*a**2). -70*a**5 - 6*a**4 Expand (3*b + 2 - 2)*(-3 + 3 + 2)*(43 + 34 - 24). 318*b Expand (-658*h - 129*h + 64*h)*(0*h**2 - 2*h**3 + 0*h**2). 1446*h**4 Expand (-2 + f - 7 + 0)*(-37*f + 119*f + 37*f + 81*f). 200*f**2 - 1800*f Expand (2*w**3 - w**3 + 0*w**3)*(3 - 5 - 1) + w**2 + 2*w**2 - 45*w**3 + 66*w**3. 18*w**3 + 3*w**2 Expand (-2*j - 2 + 2 - 2*j + 4*j - 4*j + (-1 + 5 - 2)*(-3*j + 3*j - 2*j) - 2*j - 2 + 2 - j + 3*j + 3*j)*(-29 - 3 + 11). 105*j Expand (-23 - 36*m + 23)*(1 + 1 - 3 + (1 + 0 + 0)*(-3 + 1 + 0))*(-1 + 5 - 3 - 1 + 2 + 0 - 3 + 1 + 3 + (4 - 4 - 2)*(-2 + 6 - 2) - 3 + 2 + 3 + 3 + 4 - 5). 324*m Expand (-2 + 2 - 6)*(-b**2 - 4*b**2 + 3*b**2) + 0*b**2 - b**2 + 0*b**2 + (3*b - 4 + 4)*(-b - 4 + 4). 8*b**2 Expand (2 - 2 + 4*m**2)*(-2*m**2 + 4*m**2 + 0*m**2) + (-23*m - 21*m**2 + 23*m)*(-2*m + 2*m**2 + 2*m). -34*m**4 Expand (2*n**2 - 2*n**2 - 2*n**2)*(-3*n + 3*n - 2*n) - 5 + 5 + 2*n**3 - 3*n**3 + 5*n**3 + n**3 - 3*n**3 - 20*n**3 + n**3. -13*n**3 Expand (4 - 5 + 2)*(-6 + 12554*h + 1 - 12563*h). -9*h - 5 Expand (-2*g + 2 - 2)*(2*g**4 + 3*g**4 - 6*g**4) - 78*g**5 - 91*g**5 + 85*g**5. -82*g**5 Expand (-2*o + 5*o + o)*(-5*o + 3*o + o + (-1 - 3 + 5)*(0*o + o - 2*o) - 4*o + 2*o + 6*o). 8*o**2 Expand -i**3 + 0*i**3 + 3*i**3 + (5*i - i - i)*(1 - 1 - 2*i**2) + (1 + 2 - 2)*(i**3 - i**3 + i**3) + 0*i**3 + 3*i**3 - i**3 - 653*i**3 - 54235*i + 54235*i. -654*i**3 Expand (-2*l - l**2 + 2*l)*(192 + 224 - 111)*(l - 3*l + 3*l). -305*l**3 Expand (-3 - 3 + 1)*(11*q + 222*q**4 - 203*q**4 - 3*q). -95*q**4 - 40*q Expand (-7*s - 11*s + 7*s)*(4*s - 4*s - 9*s). 99*s**2 Expand (4*r - 12*r - 28*r)*(3*r - 3*r + 3*r + (6 - 2 - 3)*(r - r + 2*r)). -180*r**2 Expand (218 - 208 + 6*r**3 + 0*r**3)*(r + 0*r - 3*r). -12*r**4 - 20*r Expand (2*d - 4*d + 0*d)*(29 - 64 - 3) + 2*d - 4*d + 0*d. 74*d Expand (8 - 12 + 18)*(-6 + 6 - 3*r)*(4 - 2 + 0 + (2 - 1 - 3)*(3 - 2 + 1) + 2 - 2 + 2 + 5 - 1 - 3 + 3 - 3 - 1 + 2 + 1 - 2 - 4 - 3 + 5 + 1 - 2 + 4 - 5 + 3 + 3). -126*r Expand (8*f**2 - 2*f**2 - 9*f**2)*(1 + 4 - 3) + 2*f + 2*f**2 + 0*f**2 - 6*f. -4*f**2 - 4*f Expand -7*m**3 + 2*m**3 + 0*m**3 + (2 - 10 + 3*m**2 - 5*m**2)*(-5*m - 2*m + 3*m). 3*m**3 + 32*m Expand -5*l**2 - 5*l**2 - l**2 + (-l - 4*l + 6*l)*(4 - l - 4) + l**2 + 2*l**2 + 2*l**2 + 4*l - 4*l - 3*l**2. -10*l**2 Expand (4*s**2 - 7*s**2 - 3*s**2)*(-s + s**2 - 3*s**2 + s**2)*(-s + 0*s + 6*s). 30*s**5 + 30*s**4 Expand ((2*m - 3*m + 3*m)*(-4 + 2 + 0) - 8*m + 13 - 9 - 3)*(0*m + 4*m - m)*(-1 + 8 + 6). -468*m**2 + 39*m Expand (-7*m**3 + 3*m**3 - 3*m**3)*(-2*m - m + 12*m + (2*m + 2*m - 5*m)*(7 - 3 - 2)). -49*m**4 Expand -1 + 1 + 3*k**5 + (4*k**2 + 0*k**2 - 3*k**2)*(0*k**3 - 3*k**3 + 5*k**3) - k**5 + 6*k**5 - k**5 + 11*k**3 - k**5 - 17*k**3 - 14*k**3. 8*k**5 - 20*k**3 Expand (2 - 1 + 1)*(-16*q - 4*q + 5*q + (-1 + 1 + 2*q)*(0 - 4 + 2)). -38*q Expand (3*v - 2*v + 0*v + (2 - 3 - 1)*(0*v + 0*v - 2*v) + v - 2*v + 0*v + v - 3*v + 3*v)*(1 - 1 - 9*v**3). -45*v**4 Expand 3*p**5 - 6*p**5 + p**5 + 0 - p**5 + 0 + (-p + 3*p - 4*p)*(-2*p**2 + 2*p**2 + p**4) + 4*p**5 + 9*p**4 - 9*p**4. -p**5 Expand (2 + 2 - 3)*(118 - 43*d**2 - 118). -43*d**2 Expand (-4 + 0*m + 4 + 12*m)*(-16*m - 30*m + 31*m). -180*m**2 Expand (-5*u**2 + 3*u**2 + 3*u**2)*(22*u**3 + 4*u**3 - 7 + 8). 26*u**5 + u**2 Expand (-82 - 9 + 35)*(-3*v - 2*v + v). 224*v Expand (3 - 10115*q - 3 + 8960*q)*(5 + 1 - 3). -3465*q Expand (-d**2 + 2*d**2 + d**2)*(-2*d**3 - 5*d**3 + 0*d**3) + (-d + 3*d + 0*d)*(4*d**4 - 3*d**4 - 3*d**4) + 0*d**5 + 4*d**5 - 2*d**5 + d**5 - 5*d**5 + 2*d**5. -18*d**5 Expand (11*q**2 + 24*q**2 - 5 + 0)*(2*q - q - 3*q). -70*q**3 + 10*q Expand (-7*z - 4*z - 6*z)*(-z**4 + z**4 + 2*z**4) + (-5*z**5 + 3*z**5 + 3*z**5)*(-5 + 1 - 5). -43*z**5 Expand -d**3 - 3*d**3 + d**3 + (0 + 2*d**2 + 0)*(3*d - 4*d - d) + 0*d + 0*d - 2*d**3 + 3*d**3 + 5*d - 5*d - 4*d**3 + 9*d**3 + 2*d**3. d**3 Expand (0*b - 3*b + b + (-b + b - 2*b)*(-2 - 1 + 1))*(882 + 497 + 1256 + 1184). 7638*b Expand (-f**4 + f**4 - 2*f**4)*(-53*f - 239*f + 12*f). 560*f**5 Expand (u**2 - u**2 - u**2)*(3 + 13 + 9) + 72*u**2 - 4*u - 63*u**2 + 3*u. -16*u**2 - u Expand ((0 - 2 + 0)*(1 + 2 - 5) - 1 + 1 - 1)*(-4 + 16 + 5)*(-o - 3*o + 2*o) + (3 + 2 + 1)*(-o - 1 + 1). -108*o Expand 6*u**2 - u**2 - 3*u**2 + (0 - 4 + 3)*(-3349*u**2 + 1962*u**2 + 1913*u**2). -524*u**2 Expand 0*q + 0*q - 2*q**3 + (-4*q**2 + 4*q**2 + 2*q**3)*(-12 - 6 - 4) + 0*q**3 + 0*q**3 + q**3 + (-5*q**2 + 2*q**2 + 2*q**2)*(-4*q - 3*q + 3*q). -41*q**3 Expand (289*o + 82*o + 46*o - 86*o)*(-3 + 2 + 2)*(1 - 1 + 3*o**4). 993*o**5 E
{ "pile_set_name": "DM Mathematics" }
ainder when 36671 is divided by 163. 159 Calculate the remainder when 4881 is divided by 970. 31 Calculate the remainder when 15263550 is divided by 16. 14 Calculate the remainder when 7149 is divided by 3187. 775 Calculate the remainder when 3822 is divided by 3279. 543 What is the remainder when 5745 is divided by 650? 545 What is the remainder when 476678 is divided by 178? 172 What is the remainder when 3986 is divided by 283? 24 What is the remainder when 18179 is divided by 6055? 14 What is the remainder when 27595 is divided by 15? 10 What is the remainder when 6236 is divided by 1147? 501 What is the remainder when 136759 is divided by 22790? 19 Calculate the remainder when 4186 is divided by 406. 126 Calculate the remainder when 1259 is divided by 17. 1 Calculate the remainder when 2596725 is divided by 865. 860 What is the remainder when 99119 is divided by 18? 11 What is the remainder when 16489 is divided by 4092? 121 What is the remainder when 26454 is divided by 62? 42 Calculate the remainder when 2162097 is divided by 100. 97 What is the remainder when 24113 is divided by 309? 11 Calculate the remainder when 35355 is divided by 95. 15 Calculate the remainder when 109580 is divided by 5767. 7 Calculate the remainder when 716306 is divided by 862. 846 What is the remainder when 2192285 is divided by 193? 191 Calculate the remainder when 49735 is divided by 24864. 7 What is the remainder when 28737 is divided by 8? 1 Calculate the remainder when 3705 is divided by 1233. 6 Calculate the remainder when 640 is divided by 101. 34 Calculate the remainder when 67401 is divided by 22448. 57 Calculate the remainder when 4935 is divided by 9. 3 What is the remainder when 9155 is divided by 77? 69 Calculate the remainder when 544 is divided by 71. 47 What is the remainder when 3415 is divided by 496? 439 What is the remainder when 14704 is divided by 144? 16 What is the remainder when 21048 is divided by 97? 96 What is the remainder when 6997 is divided by 1157? 55 Calculate the remainder when 5000 is divided by 131. 22 Calculate the remainder when 662294 is divided by 273. 269 Calculate the remainder when 33793 is divided by 200. 193 What is the remainder when 636 is divided by 188? 72 What is the remainder when 2778 is divided by 19? 4 What is the remainder when 5614 is divided by 13? 11 What is the remainder when 85877 is divided by 740? 37 Calculate the remainder when 641663 is divided by 384. 383 What is the remainder when 485 is divided by 163? 159 Calculate the remainder when 7199 is divided by 36. 35 What is the remainder when 7638 is divided by 232? 214 What is the remainder when 306266 is divided by 39? 38 What is the remainder when 12428 is divided by 41? 5 Calculate the remainder when 2877 is divided by 19. 8 What is the remainder when 426208 is divided by 839? 835 What is the remainder when 605 is divided by 117? 20 Calculate the remainder when 20867 is divided by 211. 189 What is the remainder when 84102 is divided by 23? 14 Calculate the remainder when 2416 is divided by 486. 472 Calculate the remainder when 53940 is divided by 944. 132 Calculate the remainder when 224046 is divided by 60. 6 Calculate the remainder when 251251 is divided by 538. 5 What is the remainder when 29107 is divided by 82? 79 Calculate the remainder when 3982 is divided by 3781. 201 Calculate the remainder when 7040 is divided by 371. 362 Calculate the remainder when 1456935 is divided by 357. 18 What is the remainder when 54358 is divided by 246? 238 Calculate the remainder when 6177 is divided by 55. 17 Calculate the remainder when 78928 is divided by 620. 188 Calculate the remainder when 10787 is divided by 50. 37 Calculate the remainder when 459196 is divided by 112. 108 What is the remainder when 15571 is divided by 147? 136 Calculate the remainder when 4808 is divided by 4808. 0 What is the remainder when 3235 is divided by 190? 5 What is the remainder when 117265 is divided by 77? 71 Calculate the remainder when 42284 is divided by 24. 20 What is the remainder when 43557 is divided by 440? 437 What is the remainder when 72941 is divided by 194? 191 Calculate the remainder when 4689 is divided by 274. 31 What is the remainder when 392274 is divided by 923? 922 Calculate the remainder when 137156 is divided by 348. 44 Calculate the remainder when 3031 is divided by 16. 7 What is the remainder when 5436 is divided by 4996? 440 What is the remainder when 4066 is divided by 556? 174 What is the remainder when 7155 is divided by 481? 421 Calculate the remainder when 33306 is divided by 22. 20 What is the remainder when 948346 is divided by 478? 472 What is the remainder when 1168668 is divided by 101? 98 What is the remainder when 56201 is divided by 365? 356 What is the remainder when 1656058 is divided by 35? 33 Calculate the remainder when 72580 is divided by 181. 180 Calculate the remainder when 13614 is divided by 74. 72 Calculate the remainder when 27953 is divided by 76. 61 What is the remainder when 3814 is divided by 17? 6 Calculate the remainder when 3503 is divided by 1147. 62 What is the remainder when 85465 is divided by 14? 9 What is the remainder when 5852 is divided by 449? 15 What is the remainder when 26446 is divided by 2644? 6 What is the remainder when 1961182 is divided by 980585? 12 What is the remainder when 1384 is divided by 1290? 94 Calculate the remainder when 446 is divided by 10. 6 Calculate the remainder when 24711 is divided by 563. 502 What is the remainder when 322389 is divided by 57? 54 Calculate the remainder when 80383 is divided by 115. 113 Calculate the remainder when 1790116 is divided by 299. 3 What is the remainder when 22006 is divided by 234? 10 Calculate the remainder when 45004 is divided by 22490. 24 Calculate the remainder when 10286 is divided by 4330. 1626 Calculate the remainder when 86880 is divided by 401. 264 Calculate the remainder when 13634 is divided by 19. 11 What is the remainder when 6473 is divided by 3200? 73 What is the remainder when 122980 is divided by 1268? 1252 What is the remainder when 44121 is divided by 191? 0 What is the remainder when 352932 is divided by 155? 152 What is the remainder when 1070 is divided by 354? 8 What is the remainder when 167888 is divided by 91? 84 Calculate the remainder when 7251 is divided by 2043. 1122 Calculate the remainder when 36940 is divided by 5268. 64 What is the remainder when 981756 is divided by 944? 940 Calculate the remainder when 39381 is divided by 31. 11 What is the remainder when 104142 is divided by 184? 182 Calculate the remainder when 184571 is divided by 379. 377 What is the remainder when 886 is divided by 20? 6 Calculate the remainder when 10681 is divided by 99. 88 Calculate the remainder when 29862 is divided by 2123. 140 What is the remainder when 25515 is divided by 209? 17 Calculate the remainder when 385870 is divided by 168. 142 Calculate the remainder when 1685 is divided by 471. 272 Calculate the remainder when 1065867 is divided by 234. 231 Calculate the remainder when 2556 is divided by 731. 363 Calculate the remainder when 15687 is divided by 201. 9 What is the remainder when 413 is divided by 365? 48 What is the remainder when 2571 is divided by 338? 205 Calculate the remainder when 26939 is divided by 6733. 7 What is the remainder when 1588155 is divided by 198? 195 What is the remainder when 284 is divided by 89? 17 What is the remainder when 992 is divided by 451? 90 What is the remainder when 942 is divided by 936? 6 What is the remainder when 464327 is divided by 23216? 7 Calculate the remainder when 11020 is divided by 357. 310 What is the remainder when 167218 is divided by 22? 18 Calculate the remainder when 29636 is divided by 65. 61 What is the remainder when 199930 is divided by 176? 170 Calculate the remainder when 157066 is divided by 8. 2 Calculate the remainder when 100948 is divided by 711. 697 Calculate the remainder when 44224 is divided by 268. 4 What is the remainder when 933 is divided by 5? 3 Calculate the remainder when 13083 is divided by 53. 45 What is the remainder when 26696 is divided by 2669? 6 Calculate the remainder when 2311 is divided by 468. 439 Calculate the remainder when 333
{ "pile_set_name": "DM Mathematics" }
f ((-16)/(-32))/(x/85) and -46/5. 30 Suppose 26*a - 13192 = 22*a. Find the common denominator of 32/176 + a/132 and -20/9. 18 Let r be 4 - ((-292190)/(-32465) - 5). Let h = r + 564895/25972. What is the common denominator of 25/14 and h? 28 Suppose 3*t + 3*y = 8*t - 5, 16 = 2*t - 4*y. Suppose 0 = -4*d + r + 60, 4*d - d - 2*r - 40 = 0. What is the common denominator of 388/d - (1 - t) and 41/6? 12 Let r = 19 - 4. Suppose 0*w - 20 = 4*w. Calculate the smallest common multiple of 57/r + (-1)/w and 12. 12 What is the smallest common multiple of 16 and (-5)/6 + (-4420)/(-408)? 80 Calculate the smallest common multiple of 186 and 2 - 0 - -9 - (1 + 4). 186 Suppose -m - o - 2*o - 7 = 0, 0 = 3*m - 3*o - 27. Let s be ((-9)/6)/(3/(-54)). Calculate the smallest common multiple of s*4*4/48 and m. 45 Let h be (-8 + 2)*(-6)/4. Let i = 2104 - 33717/16. Calculate the common denominator of i and 65/6 + 6/h. 16 Suppose -42*p + 50*p - 144 = 0. What is the lowest common multiple of p and ((-18)/(-8))/1*8? 18 Let a = 3611662 - 238381831/66. Let p be ((-6)/7)/((-110)/22470). Let n = a + p. What is the common denominator of n and 26/11? 66 Calculate the common denominator of 27/8 and 6 - 952/3*21/1126. 4504 What is the common denominator of -20/29 and 4/(-10)*(-4805)/372? 174 Let t = -735 + 743. Calculate the smallest common multiple of 8 and t. 8 Let z = -25 - -27. Suppose 4*r = -r - 2*c + 68, -z*c = -r + 4. What is the least common multiple of 10 and r? 60 Let k be ((-36)/8)/((-3)/(-4)). Calculate the common denominator of (-459)/14 + k/(-21) and 19/18. 18 What is the common denominator of (-2694)/(-1456) + -3 + (-37)/(-13) and 68/63? 504 Let z = 131030 - 338712562/2585. Let w = z + 25169/5170. Find the common denominator of w and (-3)/117*318/4. 286 Suppose -5*f - 2*h + 64 = 0, 5*h = -5*f + 7*h + 56. Calculate the lowest common multiple of 50 and f. 300 Let w(i) = -2*i**2 - 10*i + 19. What is the smallest common multiple of 155 and w(-6)? 1085 Suppose 4*n = -d - 3*d + 20, 2*d = 4*n - 14. Calculate the common denominator of 39/67*(2 - (d - 0)) and -50/3. 201 Let q be (-4)/(-5)*70/(-4). Calculate the least common multiple of 1 - ((0 - -1) + q) and (-3 - (-255)/10)*16/20. 126 Suppose -40*b + 41*b = 330. Suppose 0 = 10*t - 0*t - b. What is the lowest common multiple of 21 and t? 231 Suppose 22*c - 27*c - 40 = 0. Find the common denominator of -3 + (-3324)/(-616) + c/(-28) and -3/14. 154 Suppose -8*q = -209 - 55. Calculate the smallest common multiple of q and 132. 132 Let d be 1/((-1 - 2)/(-9)). Let o be (-10)/(d + 0 + -5). Suppose -5*k = f - 7, 3*k - 35 = -o*f + 4*k. Calculate the smallest common multiple of f and 12. 84 Let n(u) = 7*u + 7. Let r be n(-3). Calculate the common denominator of -3/16 and -7 - -5 - 89/r. 112 Let o = -7 + 9/2. Let w = -180/5941 + -30431783/130702. Let x = w - -233. What is the common denominator of o and x? 22 Let u = 2965 - 130453/44. What is the common denominator of 103/24 and u? 264 Let f = -31 + -9. Let u be (-158206)/f + 15/25. Let p = u + -3979. Find the common denominator of p and -35/2. 4 Let b = -906/73 + 25304/1533. What is the common denominator of (-7)/336*214*2/(-4) and b? 336 Let a = -7/1343 + -69731/20145. What is the common denominator of -11/21 and a? 105 Let q(b) = -b**3 + 3*b**2 - 2*b + 1. Let l be q(2). Let p be -2 + (l + 1)*10. What is the common denominator of -23 and 68/6*p/16? 4 Calculate the lowest common multiple of 237/15 + 8/40 and 4. 16 Let u = -1265/2 + 659. Find the common denominator of u and (-4)/20*455/(-2). 2 Suppose d + 2*d + 36 = 0. Let g be (20/d)/(2/(-24)). Calculate the smallest common multiple of 3*(g/(-12) + 2) and 8. 8 Let w = 320313/22 - 14564. Suppose f - 5*d + 30 = 0, 0 = -2*f - 2*d - 7 - 65. What is the common denominator of w and (-1222)/28 - 5/f? 22 Calculate the common denominator of (3/(-5))/((-4)/290) and ((-23)/6)/1 + -5. 6 Let q(n) = 2*n**2 - 21*n + 24. Calculate the least common multiple of 33 and q(12). 660 Calculate the common denominator of (-166)/(-4) + (-6)/(-3) and (-33)/(-198) - (-25)/(-24). 8 Let y = 1812 - 1332. What is the least common multiple of y and 12? 480 Suppose -5*a + 5*v = v + 8452, 5*v = 4*a + 6767. Let l = 23553/14 + a. Calculate the common denominator of (3/44)/(1/(-58)) and l. 154 Suppose 0 = -25*m - 121 + 223 + 1248. Suppose -14 = -3*p + 40. Calculate the least common multiple of m and p. 54 Suppose -19 = -3*q - 1. Suppose -10*m = 5*h - 7*m - 63, 4*h = 8*m + 92. Calculate the smallest common multiple of q and h. 30 Let l(o) = -o**2 + 11*o - 14. Let b be (1/(-2) - -1)/(3/42). Calculate the smallest common multiple of 20 and l(b). 140 Let l(h) = 2 + 6*h - 112*h**2 + 123*h**2 - 12. Calculate the smallest common multiple of l(3) and 11. 1177 Calculate the smallest common multiple of 16 and (1 - (-4 - -70))*8/(-40). 208 Let o be (-6)/12*(3 + 15). Calculate the lowest common multiple of 54 and (-2 - (4 + o))*1. 54 Let c be (-1014)/54 + (-2)/9. Let i = c - -29. Calculate the smallest common multiple of i and 1 + -1 + (3 - 0). 30 Let l = -1388 - -16585/12. Calculate the common denominator of l and -113/108. 108 Let t = 4 + 6. Suppose -2*l - 3 + 23 = 0. Calculate the least common multiple of l and t. 10 Suppose 2*s = -29 + 41. Calculate the smallest common multiple of 54 and s. 54 Let j = 1510 - 2412. Calculate the common denominator of 3 and (-2)/7 + j/28. 2 Let d be -4*(-3)/3 + 3925 + -2. Let o = 98214/25 - d. Find the common denominator of -37/7 and o. 175 Let k = -13 + 24. Let v(m) = m**2 + m - 8. Let y be v(-4). Suppose -170 + 50 = -y*s. What is the least common multiple of s and k? 330 Let c = 7672 - 138179/18. Suppose -4*b = -6*b + 12. What is the common denominator of c and b/12 + (-29)/(-9)? 18 Let p be (-5)/25 + 52/(-30). Let a = -1213/30 - p. Let w = -2129/66 - -408/11. What is the common denominator of a and w? 6 Suppose b = -3*b. Calculate the lowest common multiple of (-4)/(b + -1) - 2 and 62/15 + 28/(-210). 4 Let i = -5108/8645 + -36/133. Find the common denominator of -7/104 and i. 520 Let t = 49457 + -34316. Let b = -151291/10 + t. What is the common denominator of 35 and b? 10 Let a(y) = 4*y**3 + 1. Let s be a(-1). Suppose 5*q + 2*x - 5 = 0, -x - 8 = -q - 0*q. Let r = q - s. What is the smallest common multiple of 18 and r? 18 Let t = -288 - -309. Calculate the smallest common multiple of 39 and t. 273 Let g = -130 - -186. Let r = -13426 + 13430. What is the smallest common multiple of g and r? 56 Let h(p) = -p**2 + 17*p + 21. Let x be h(18). Suppose 1 = 2*q - x. What is the lowest common multiple of q and 9? 18 Let o(q) = -q + 13. Let v be o(8). Suppose -162 - 53 = -v*n. What is the common denominator of 15/8 and n/(-60) + 13/(-65)? 24 Let c = 2997/4 + -4549/6. What is the common denominator of 113/48 and c? 48 Suppose 5*n - 4*v - 570 = 0, 31 = n - 2*v - 83. Calculate the lowest common multiple of 20 and n. 1140 Suppose -22*w + 67*w = -81*w + 504. Suppose -2*x = -7*x + 15. Suppose -b + x*b = 14. Calculate the least common multiple of w and b. 28 Let r = 35758 - 359119/10. Let f = -6207/40 - r. Calculate the common denominator of 29/32 and f. 160 Suppose 67*z + 108 = 79*z. What is the smallest common multiple of z and 69? 207 Find the common denominator of -11/39 and (1/7)/(-1) + (-13486)/3696. 312 Let s = -11 + 8. What is the least common multiple of 27 and s + (3 - 4)/(-1)*9? 54 Let s be (-1150381596174)/398504394792 + 1/(-4). Let f = -2/4831059 - s. Let z = -3/491 - f. What is the common denominator of z and 7/9? 63 Let i be (3 + -10)*-2*1. Find the common denominator of 149/18 and (645/70*-1)/((-36)/i). 36 Let r(s) = 2*s. Let l = -563 - -565. Calculate the least common multiple of r(2) and l. 4 Suppose 0*d = 3*d - 12. Suppose 6 = d*k + 22. Find the common denominator of 49/18 and k. 18 Let k be (-20)/30 - 7688/42. Let g = k - -1256/7. Let x = 52072/11 + -4737. Calculate the common denominator of x and g. 77 Let a(d) = d**3 - d**2 + 2*d - 1. Let z be a(2). Suppose -c + 17 = z. What is the lowest common multiple of 2/(-3) + 26/3 and c? 40 Suppose -2*g = 2*g. Suppose 3*v = -5*a + 26, 3*a + a + 3*v - 22 = g. Calculate the lowest common multiple of -1*(3 - 2) + 6 and a. 20 What is the common denominator of 55/78 and (38/(-52))/((-2 - 4)/12)? 78 Le
{ "pile_set_name": "DM Mathematics" }
(((d*d/d**(-2))/d)/d)) assuming d is positive. d**(-457/255) Simplify o/(o/(o**(-13)/o))*o*o**34*o**(-30)/o*o**27 assuming o is positive. o**17 Simplify ((s*s/s**3*s*s**(-17))/(s**(3/7))**(16/7))**0 assuming s is positive. 1 Simplify (i*(i*i*i/(i**29/i)*i*i)/i*i**(-26))/((i*i**(2/41))/(i/i**(-2/27))) assuming i is positive. i**(-54215/1107) Simplify ((g**1*g/g**(2/5)*(g/g**(-2))/g**(-3/4))**(-23))**28 assuming g is positive. g**(-17227/5) Simplify ((b**41*b**19/b*b*b*b)/(b**3/(b**(3/22)/b)))**46 assuming b is positive. b**(29417/11) Simplify (((b*b*b/(b*b**(-5))*b)/(b*b/b**(-1/7)*b)*((b**(-9)/b)/b*b)/b*b*b*b**(-1/9))**(-39))**(-40) assuming b is positive. b**(-139360/21) Simplify a/((a/(a/(a/(a*a/(a**4/a)))))/a)*a*a**4*a**(-5/6)/(a/a**(-1))*(a**(1/3))**(-1/16)*(a**(-2/5))**(-7) assuming a is positive. a**(1187/240) Simplify (b*b/b**(-13)*b**(-23)*b*b**(-14)*b**(-1/30)/b*b)**(-29) assuming b is positive. b**(18299/30) Simplify ((j*j*j/((j*j**(1/7)*j)/j*j)*j*j*j)/j*j**(-5/3))**(-22)*(j**(2/21)*j/((j*j**11/j)/j))**(-42) assuming j is positive. j**(7304/21) Simplify (((k/(((k*k**(-3)*k)/k)/k))/k)**38/(k**(-12)/(k*k*k**18*k)))**(-11/6) assuming k is positive. k**(-539/2) Simplify (r**(2/7)*r*r*r**(-4)*r)**(-2/11)/(r*r**5*r**3*r*r*r)**(-26) assuming r is positive. r**(24034/77) Simplify (q**(2/7)/(q*(q*q*q/q**(1/10))/q*q))**24/((q**(-2/9))**5*q**(-3/4)/((q**(-2/13)*q)/q*q)) assuming q is positive. q**(-1376503/16380) Simplify ((d**0)**7*(d**(-1))**(-5))/((d**0*d*d*d*d/(d*d/((d**(1/4)/d)/d)*d)*d)/(d/d**(-2/13)*d**0)) assuming d is positive. d**(307/52) Simplify (((h/h**(-6)*h*h)/h**(-2/3))/((((h/h**(-3/7))/h)/h)/h**7))/(h**(2/11)/h*h/h**9)**31 assuming h is positive. h**(67129/231) Simplify ((j*j**4)**(-2/15)/((j*j*j**(-5/4)*j)/(j**(10/7)/j)))**(-50) assuming j is positive. j**(4175/42) Simplify d**(-27)*d**38*(d*d*(d*d**(-1/15)*d)/d)/d**(-2/51) assuming d is positive. d**(3563/255) Simplify (((x*x**(2/3)*x)**(14/9)*(x/(x/(x/x**5)))/x**(-10))**(1/69))**(-47) assuming x is positive. x**(-12878/1863) Simplify (a**2*a*a/((a/a**(-1/13))/a)*(a*a**(-1))**(-15))/((a*a**(-4))**(1/22))**37 assuming a is positive. a**(2565/286) Simplify g**(-2/3)*g**22*(g**(-1))**(6/25) assuming g is positive. g**(1582/75) Simplify ((j/((j/j**(-1/4))/j))**(-10/7)/(j**1)**(-2/27))/(((j/j**2)/j**(1/6))/(j**(-1))**(-3/8)) assuming j is positive. j**(823/1512) Simplify (((j/j**(-2/3))/(j*j**(8/9)/j))/(((j**(-1/12)*j)/j)/(j*j**(2/29))))**(12/5) assuming j is positive. j**(403/87) Simplify (((t*t**(-2/9))/t**(-1/3))/(t**(4/7)*(t**(-2/21)*t)/t))/(t**3*t*(t/(t*(t/t**0)/t))/t)**24 assuming t is positive. t**(-4496/63) Simplify (u/(u**(-15/7)*u*u)*u**(-31/5))/(((u*u**(-2/9)*u)/u)/u*u*u**(9/8)) assuming u is positive. u**(-17539/2520) Simplify (((h*h**(1/3)/h)/h*h)**(1/9))**9*(h*(h*h*h**(1/4)/h)/h)**(1/69)*(h**1*h)/(h**4*h) assuming h is positive. h**(-731/276) Simplify (y**0*y)**(5/3)*(y*y**1)**(-1/24)*(y**1)**(-5)/(((y*y/(y*y**1))/y)/(y**(-1/10)*y)) assuming y is positive. y**(-91/60) Simplify ((j**(2/17)*j*j)/(j**(-2)*j))/(j**(-2/17)*j/((j**0/j)/j))*j**(-2/7)/j*j**3*j**(-5)*j*j/(j*j**(-1)*j) assuming j is positive. j**(-244/119) Simplify ((j/(j**(1/4)/j))**(-12/7)*j**(1/10)*j*j**(-8))/(j**(-13)/(j**12*j))**28 assuming j is positive. j**(7181/10) Simplify (((n**(3/8)/n**(2/13))**42)**(-6/19))**30 assuming n is positive. n**(-21735/247) Simplify ((((w*w*w**(-1/4)/w*w)/w)/(w/w**(-11)))/((w/w**(-3))/w*w/w**(5/6)*w))**(-6/11) assuming w is positive. w**(185/22) Simplify ((z/z**0)**(-12/11)*(z**(-1))**(-6/17))/(z/z**4*z*z**5*z)**(3/14) assuming z is positive. z**(-2088/1309) Simplify (((w**(-1)*w*w)**28*w/w**(-7/4)*w*w*w**(-8)*w*w*w)**24)**0 assuming w is positive. 1 Simplify ((y**25*y)**(-38)/(y/(y*y**(-2/87))*y**(-1/27)))**(11/5) assuming y is positive. y**(-8509523/3915) Simplify (p**(-4/7)/(p*p/p**(-2/13)*p)*(p**2)**50)/((p/(p*(p*p**(2/5))/p))**(-18)*p*p**(-1/4)*p**(5/3)/p*p) assuming p is positive. p**(473153/5460) Simplify (z**(1/3))**(2/17)*(z*z/(z/((z/z**(-2/9))/z))*z)/z**(-4)*((z**(-1/4)/z)**(8/9))**25 assuming z is positive. z**(-3292/153) Simplify (((c/(c/(c/(c**(3/2)/c))))/c)/((((c*c**(-3/4)*c)/c)/c)/c))**(3/40)*(c**(-1))**(-16)*(c/(c**(-5)/c))/c**(2/7) assuming c is positive. c**(5109/224) Simplify ((w*w**(-2/15)*w**(-4/11)/w)**(-19/4))**(2/25) assuming w is positive. w**(779/4125) Simplify ((x**(1/3))**(29/5)/(x/((((x**(-6)*x)/x)/x)/x*x)*x**(-24)/x))**(2/33) assuming x is positive. x**(568/495) Simplify (j/j**(-4))**(-13)*(j/j**(-5))/j**(-10) assuming j is positive. j**(-49) Simplify (c**(-1/75)*c**33*c)/(c/(((c**(1/5)/c)/c)/c)*(c**(-6/13)*c*c)/c) assuming c is positive. c**(28907/975) Simplify (k/(((k*k*k**28)/k*k*k)/k))**35/((k/(k*k**(-7))*k*k)/((k**(-9)*k)/k)) assuming k is positive. k**(-1033) Simplify (i*i*i**(7/2))/((i/(i**2*i))/i)*(i/i**(2/5))/i**(-2/9)*(i**(-2/3))**(-36)*(i*i/i**(-1/7))/i**6 assuming i is positive. i**(18563/630) Simplify ((g**(-1)/g*g)**(4/9))**48*((g/g**(1/5))/g*g**0)**(-6/29) assuming g is positive. g**(-9262/435) Simplify (l**(2/3)*l**(-2/7)*l*l**(-3)/(l**(-2/5)/l))/((l**(-2/7)*l)**(-1/10))**(8/9) assuming l is positive. l**(-7/45) Simplify (b**(-3)*b*(b*b**(-7))/b*((b/(b**(2/5)/b))/b)**(-42))/((b*b**6)/b**5*(b**(1/3))**1) assuming b is positive. b**(-548/15) Simplify (w**(2/17)/w)**(-6/17)*w**(-1/7)*w/w**3 assuming w is positive. w**(-3705/2023) Simplify (c**(-2/3))**(-25)*c*c**(-2/11)*c*c**(-5/4)*(c**(3/2)/c)/(c*c**3)*c**(-2/21)/(c*c**(5/3)) assuming c is positive. c**(10139/924) Simplify ((d*d**(6/11))/(d*d**(-6))*(d**6)**(-1/3))**(-1/26) assuming d is positive. d**(-25/143) Simplify (g**(-2/3)*g/g**(-2/15))**(3/4)*((g**(2/9)/g)**(1/41))**(5/13) assuming g is positive. g**(32879/95940) Simplify ((f**(-1))**(-18)*((f/((f*(f*f*f*f/(f*(f/(f*f**(-1)*f))/f))/f)/f))/f)**(5/4))/((f**(-1/12)*f)/f**(-8))**(-35) assuming f is positive. f**(979/3) Simplify (((u/(u*u**(-1/4)))/u)**(1/36)/((u*u/(u*u**1)*u)/u*u)**(2/19))/((u**(4/7)*u/((u*(u*u**(2/5)*u)/u)/u))/(u**(-2))**(-34/5)) assuming u is positive. u**(84923/6384) Simplify (((p/p**(-25)*p)/(p/(((p*p*p**(1/13)*p*p)/p*p)/p)))**(-2/9))**41 assuming p is positive. p**(-3444/13) Simplify (a*a/((a/a**(1/5))/a)*a/(a**(-25)/a)*a)/(a**(-2)*a**(-2/5)*a) assuming a is positive. a**(158/5) Simplify (r**(-2/5)*r*r/(r/(((r/r**0)/r)/r)))**(-1)/((r**(2/9)/r**(-3/2))/((r*r**4)/r**7)) assuming r is positive. r**(-299/90) Simplify (p*((p/p**(1/3))/p)/p)**(2/51)/(p/p**(1/6)*p*p**(1/7))*((p/((p**3/p)/p))/p)/(p/p**(-6))*(p*p**(-4)/p)/(p**(-6)/p) assuming p is positive. p**(-14971/2142) Simplify r*r/r**(2/7)*r**(1/3)/r*(r/(r*(r/(r*(r/r**(-1/4)*r)/r*r))/r)*r)/((r/((r**(4/3)/r)/r))/r)*(r**0)**(17/4)/(r/r**2*(r/r**(-1))/r) assuming r is positive. r**(389/84) Simplify (j/j**0*j*j**21*j*(j**24/j)/j**29)**3 assuming j is positive. j**54 Simplify ((o*(o*o*o**(-2)*o)/o)**32)**(5/8)*(o/(o*o**(2/21)/o)*o/(o/(o/(o/(o**(3/4)*o*o)))))**49 assuming o is positive. o**(2389/12) Simplify (m**(5/6)*m**(-10/9))**(-1/37)*(m**(-5/4)/m*m*m/(((((m/m**(-5))/m)/m*m)/m)/m))**1 assuming m is positive. m**(-4319/1332) Simplify (((j/(j/j**(7/5)))/j*j)**(-2/21)/(j/(j*j**(-2/3))*(((j*j**(-35)*j)/j*j)/j)/j))**(-18/5) assuming j is positive. j**(-3078/25) Simplify ((b**(-8)*b*b**(2/21))**(-39))**6 assuming b is positive. b**(11310/7) Simplify (n/n**(-4/11)*n*(n**(-1/12)*n)/n*n**(-29)/(n/(n*n/n**(-1/8))))**(11/6) assuming n is positive. n**(-6757/144) Simplify ((u*u**19*u)**33/((u/u**(-15))/(((u*(u*(u/(u/(u**(-38)/u)))/u)/u*u)/u*u*u)/u)))**(1/18) assuming u is positive. u**(71/2) Simplify ((x**(-13))**(-28)*(x*x**(-13))**(-5))**(3/44) assuming x is positive. x**(318/11) Simplify (g**5/(g*g**(-13))*g**(-3/5)/(g/(g*g**(-2/7)*g*g)))**(-3/7) assuming g is positive. g**(-1902/245) Simplify ((v**(1/31)*v*v*((((v*v/(v/((v**(4/5)*v*v)/v)))/v)/v)/v)/v*v)/(((v**(-1/13)*v)/v*v)/v*v*v*v**39/v))**(-18) assuming v is positive. v**(1381554/2015) Simplify (m**9)**(-1/56)/((((m**(2/13)*m*m)/m*m)/m)/m)**(2/3) assuming m is positive. m**(-575/2184) Simplify (((z/(z/(z*z/(z*(z*z*z**(2/7))/z))))/z)/z*z/z**1)**(-49)/(z**(-5)/((z*(z**5/z)/z*z)/z))**(19/5) assuming z is positive. z**(731/5) Simplify ((w*w**(-6)*w/(w*w/((w/((w**(-1)/w*w*w)/w))/w))*w**(-5)/(w*w**5))**(-2/81))**(-35
{ "pile_set_name": "DM Mathematics" }