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he t'th term of 9706, 19327, 28948? 9621*t + 85 What is the x'th term of 1604956, 1604988, 1605022, 1605058, 1605096, 1605136? x**2 + 29*x + 1604926 What is the w'th term of -70337, -140744, -211297, -282068, -353129, -424552, -496409, -568772? -12*w**3 - w**2 - 70320*w - 4 What is the z'th term of -1032057142, -1032057140, -1032057136, -1032057130, -1032057122, -1032057112? z**2 - z - 1032057142 What is the x'th term of -95736, -89894, -84052, -78210, -72368, -66526? 5842*x - 101578 What is the w'th term of -73442630, -73442623, -73442616? 7*w - 73442637 What is the h'th term of 74002, 146048, 216150, 284314, 350546? h**3 - 978*h**2 + 74973*h + 6 What is the z'th term of -314, -1136, -2526, -4484, -7010? -284*z**2 + 30*z - 60 What is the n'th term of -27679, -54966, -81913, -108520, -134787? 170*n**2 - 27797*n - 52 What is the j'th term of -336369, -672718, -1009079, -1345458, -1681861, -2018294, -2354763? -j**3 - 336342*j - 26 What is the p'th term of 2732, 20445, 68064, 160541, 312828? 2492*p**3 + p**2 + 266*p - 27 What is the y'th term of 735928189, 735928193, 735928209, 735928243, 735928301, 735928389, 735928513? y**3 - 3*y + 735928191 What is the i'th term of -366534, -733069, -1099604, -1466139, -1832674, -2199209? -366535*i + 1 What is the x'th term of 38118374, 38118375, 38118376, 38118377? x + 38118373 What is the k'th term of 167, 1, -405, -1159, -2369, -4143, -6589? -18*k**3 - 12*k**2 - 4*k + 201 What is the p'th term of 5281, 4442, 3603, 2764, 1925, 1086? -839*p + 6120 What is the f'th term of 339, 1102, 1855, 2598, 3331, 4054? -5*f**2 + 778*f - 434 What is the c'th term of -2752, -11063, -24916, -44305, -69224, -99667? c**3 - 2777*c**2 + 13*c + 11 What is the x'th term of -14949, -12489, -10029, -7569, -5109? 2460*x - 17409 What is the m'th term of 2405, 5010, 8029, 11666, 16125, 21610, 28325, 36474? 34*m**3 + 3*m**2 + 2358*m + 10 What is the g'th term of 1587777, 3175523, 4763269, 6351015? 1587746*g + 31 What is the j'th term of 407164482, 407164481, 407164480, 407164479, 407164478, 407164477? -j + 407164483 What is the z'th term of 94325, 188622, 282919, 377216, 471513? 94297*z + 28 What is the u'th term of 248561, 249500, 250441, 251384, 252329? u**2 + 936*u + 247624 What is the r'th term of 112476, 224978, 337498, 450042, 562616? r**3 + 3*r**2 + 112486*r - 14 What is the s'th term of 298699, 1194837, 2688409, 4779415? 298717*s**2 - 13*s - 5 What is the f'th term of -98186, -97947, -97708, -97469? 239*f - 98425 What is the s'th term of -95619, -95761, -95989, -96297, -96679? s**3 - 49*s**2 - 2*s - 95569 What is the h'th term of 13589, 13583, 13559, 13511, 13433? -h**3 - 3*h**2 + 10*h + 13583 What is the z'th term of -2073, -17372, -59117, -140532, -274841, -475268? -2204*z**3 + z**2 + 126*z + 4 What is the b'th term of 1903, 7561, 16987, 30181, 47143, 67873? 1884*b**2 + 6*b + 13 What is the v'th term of -1868040, -7472176, -16812404, -29888724, -46701136, -67249640? -1868046*v**2 + 2*v + 4 What is the f'th term of 306, 516, 886, 1434, 2178, 3136, 4326? 3*f**3 + 62*f**2 + 3*f + 238 What is the f'th term of -3088288, -3088281, -3088274, -3088267, -3088260? 7*f - 3088295 What is the a'th term of 496, 2503, 5850, 10537, 16564, 23931? 670*a**2 - 3*a - 171 What is the u'th term of 1621285, 1621308, 1621331? 23*u + 1621262 What is the w'th term of -10874, -21837, -32870, -43967, -55122, -66329, -77582, -88875? w**3 - 41*w**2 - 10847*w + 13 What is the y'th term of 680213, 1361149, 2042085, 2723021, 3403957, 4084893? 680936*y - 723 What is the l'th term of 362198, 724443, 1086680, 1448903, 1811106? -l**3 + 2*l**2 + 362246*l - 49 What is the r'th term of -137834325, -275668650, -413502975, -551337300? -137834325*r What is the f'th term of -30710, -122851, -276420, -491417, -767842, -1105695, -1504976? -30714*f**2 + f + 3 What is the p'th term of 10003, 41597, 94763, 169507, 265835, 383753? p**3 + 10780*p**2 - 753*p - 25 What is the c'th term of -2833319, -2833294, -2833253, -2833196, -2833123? 8*c**2 + c - 2833328 What is the v'th term of 956, 324, -3480, -12040, -26940, -49764, -82096, -125520? -264*v**3 - 2*v**2 + 1222*v What is the v'th term of 515, 2659, 6439, 11855? 818*v**2 - 310*v + 7 What is the w'th term of -1247, -4617, -9999, -17393, -26799? -1006*w**2 - 352*w + 111 What is the a'th term of -102200505, -102200506, -102200507, -102200508, -102200509? -a - 102200504 What is the q'th term of 17960, 72182, 162572, 289130, 451856, 650750, 885812? 18084*q**2 - 30*q - 94 What is the s'th term of -120865, -483387, -1087565, -1933399, -3020889, -4350035? -120828*s**2 - 38*s + 1 What is the l'th term of -46917, -93912, -140907, -187902? -46995*l + 78 What is the a'th term of -1317, 4739, 21163, 53139, 105851? 864*a**3 + 8*a - 2189 What is the j'th term of 3514772, 7029526, 10544274, 14059016, 17573752? -3*j**2 + 3514763*j + 12 What is the w'th term of -6682061, -6682063, -6682065, -6682067, -6682069? -2*w - 6682059 What is the w'th term of 22700, 45388, 68048, 90668, 113236? -2*w**3 - 2*w**2 + 22708*w - 4 What is the m'th term of -2195186, -4390376, -6585566, -8780756, -10975946? -2195190*m + 4 What is the y'th term of 141, 464, 821, 1056, 1013, 536? -26*y**3 + 173*y**2 - 14*y + 8 What is the y'th term of 326151, 652293, 978435, 1304577, 1630719? 326142*y + 9 What is the g'th term of 228, 749, 2132, 4809, 9212? 72*g**3 - g**2 + 20*g + 137 What is the q'th term of 31702, 31668, 31550, 31306, 30894? -7*q**3 + 15*q + 31694 What is the m'th term of -891, -9680, -33649, -80424, -157631, -272896, -433845? -1271*m**3 + 36*m**2 + 344 What is the g'th term of -439756, -439398, -439040? 358*g - 440114 What is the b'th term of 115099, 115154, 115209, 115264, 115319, 115374? 55*b + 115044 What is the i'th term of 10361, 41383, 93085, 165467? 10340*i**2 + 2*i + 19 What is the d'th term of 9620307, 19240614, 28860919, 38481222, 48101523, 57721822, 67342119? -d**2 + 9620310*d - 2 What is the k'th term of -114236, -228457, -342676, -456893, -571108, -685321? k**2 - 114224*k - 13 What is the x'th term of 10746, 10756, 10784, 10830? 9*x**2 - 17*x + 10754 What is the a'th term of -9524461, -9524449, -9524415, -9524347, -9524233? 2*a**3 - a**2 + a - 9524463 What is the n'th term of 328, 295, 284, 295? 11*n**2 - 66*n + 383 What is the z'th term of 2021891, 4043742, 6065581, 8087402, 10109199, 12130966, 14152697, 16174386? -z**3 + 2021858*z + 34 What is the l'th term of 6635780, 13271604, 19907414, 26543204, 33178968? -l**3 - l**2 + 6635834*l - 52 What is the a'th term of 27097, 108281, 243569, 432955, 676433? -a**3 + 27058*a**2 + 17*a + 23 What is the k'th term of 9802, 36147, 79038, 138481, 214482, 307047, 416182, 541893? k**3 + 8267*k**2 + 1537*k - 3 What is the u'th term of -35484, -141865, -319140, -567309, -886372, -1276329? -35447*u**2 - 40*u + 3 What is the q'th term of 39210, 77492, 115774, 154056, 192338? 38282*q + 928 What is the o'th term of 427197975, 854395953, 1281593931, 1708791909? 427197978*o - 3 What is the h'th term of -2366512, -2366813, -2367114, -2367415? -301*h - 2366211 What is the c'th term of -2822898, -2822892, -2822886? 6*c - 2822904 What is the w'th term of -34430, -69762, -105954, -143006, -180918? -430*w**2 - 34042*w + 42 What is the b'th term of 28860185, 28860183, 28860181? -2*b + 28860187 What is the b'th term of 161038, 322064, 483090, 644116? 161026*b + 12 What is the p'th term of -3060, -13088, -29800, -53196, -83276, -120040, -163488? -3342*p**2 - 2*p + 284 What is the u'th term of -38259, -42202, -46145, -50088, -54031? -3943*u - 34316 What is the b'th term of -79449, -79623, -79797, -79971? -174*b - 79275 What is the o'th term of -1618, -949, 142, 1655, 3590, 5947, 8726? 211*o**2 + 36*o - 1865 What is the w'th term of 588747, 588754, 588761, 588768? 7*w + 588740 What is the w'th term of -2789, -5545, -8301, -11057, -13813, -16569? -2756*w - 33 What is the a'th term of 16855983, 67423938, 151703861, 269695752, 421399611, 606815438? 16855984*a**2 + 3*a - 4 What is the a'th term of 1837465, 3674872, 5512279, 7349686, 9187093? 1837407*a + 58 What is the j'th term of 8240, 16154, 24068? 7914*j + 326 What is the x'th term of -101733, -101748, -101761, -101772, -101781? x**2 - 18*x - 101716 What is the h'th term of -2
{ "pile_set_name": "DM Mathematics" }
) f b Let n = -0.17 - -0.07. What is the nearest to 2 in -4, n, -0.2? n Suppose 4*w - 3 = 1. Suppose -p = 2*n - 10, n - w = -p + 2*n. Let v = 47 - 325/7. What is the closest to 1 in p, 0.5, v? v Let f be (16/110)/((-112)/760). Let p = 14/11 + f. Let m = 6 + -1. Which is the closest to -1? (a) p (b) 0 (c) m b Let o be 40*(-3 - 21/(-6)). Suppose -s - k = 4*s + 5, -o = s + 4*k. What is the nearest to 1 in s, -2/3, -5? s Let k = 0.16 + 4.94. Let n = -5 + k. Let d = n - -0.1. What is the closest to 0.3 in 2/3, -2/3, d? d Suppose 4*z + 55 = 5*j, j = 5*j + 5*z - 44. Let i = j - 6. Suppose 3*x - i*t + 35 = 0, 5*x - x + 4*t = -4. Which is the nearest to 0.1? (a) 0.3 (b) 3/4 (c) x a Let t = 2.95 - -0.05. Let z = -54 + 58. What is the closest to -1/2 in z, 0, t? 0 Suppose -4*r = h + 2 + 10, 5*h - 3 = r. What is the closest to h in 3, -0.1, -0.3? -0.1 Let n = 2 - 1. Suppose 5*k + 4*j - 23 = 0, -2*j = -0*k + 2*k - 8. Let z = 5 - k. What is the closest to n in -0.3, z, -3? -0.3 Let o = 0 - 0.1. Let s = -10 - -12. Let y = 6 - 6.4. Which is the closest to 2/7? (a) o (b) s (c) y a Let u(i) = -2*i**3 + 11*i**2 + 6*i - 5. Let k be u(6). Let s = -0.01 + 1.01. Let w = -0.8 + s. Which is the nearest to w? (a) -2/5 (b) k (c) 0.1 c Let s(r) = r + 26. Let a be s(-13). Let p be a + -10 + (-17)/5. What is the nearest to p in 3, -0.5, 1? -0.5 Let j = 19 - 19.5. What is the closest to j in -2/7, -2, 1/2? -2/7 Let j = -18 + 20. Which is the nearest to j? (a) -1/4 (b) 3 (c) 0.5 b Let g = 175 + -1577/9. Which is the nearest to 2/5? (a) g (b) -1/7 (c) -2/5 b Let j = 1.7 - 3.7. Which is the closest to j? (a) -0.4 (b) 3 (c) -3 c Let d = 149/28 - 32/7. What is the nearest to 0 in 0.5, d, -2/7? -2/7 Let s(x) = x**2 - 2*x - 3. Let f be s(-2). Let t = 5 - 10. Let d be -2 + 0 - t/15. Which is the closest to 1? (a) f (b) d (c) -2 b Let w = -1 + 1. Let f = w - 0. Let v = -21.6 - -22. Which is the nearest to f? (a) -2 (b) v (c) -1/2 b Let w = 0 + 0.2. Let g = -1925/4 + 481. Let k = 0.2 - -2.8. Which is the closest to 0? (a) k (b) w (c) g b Let a be -2*1 + -5 + (12 - 6). What is the closest to -1 in -3, a, -0.014? a Let g = -312/5 + 62. Let l = 0.29 + 0.07. Let y = l - 0.06. What is the nearest to g in -5, 2/9, y? 2/9 Let i = -3263/7 + 467. Let z = 7.9 - 8. Let h = -204 + 1832/9. Which is the nearest to z? (a) h (b) i (c) 3/7 a Let w = -22 + 13. Let v = -8 - w. Which is the nearest to 2? (a) -1/2 (b) -0.2 (c) v c Let h be (1 + -1)/(2 + -5). What is the closest to h in 5, 0.2, -0.3? 0.2 Suppose -2*x = -5*t + 20, x - 2*x = -t + 7. Suppose -4 = 3*v + t*o - 7*o, 4*v = -3*o - 15. Let p = 4.9 - 5. Which is the closest to p? (a) v (b) -2 (c) -1 c Let s = -61 + 63. Which is the closest to 2? (a) -6 (b) s (c) 3/5 b Let r = -22 - -87/4. Let c = -72 - -71. Let k = -5 - -5. What is the closest to 0 in r, c, k? k Let o = 0 - 2. Let r(d) = d - 5. Let k be r(2). Let g be 10/k*18/(-24). Which is the nearest to -0.2? (a) -1/4 (b) g (c) o a Let q = 74 - 226/3. Let f = q + 1. Let g = 2/15 + f. Which is the nearest to 0? (a) g (b) 1/2 (c) -0.1 c Let f = 17 + -53/3. What is the nearest to -1 in f, -5, 4/5? f Let k = 11.5 - 12. What is the nearest to 0 in k, 1/3, -0.1? -0.1 Suppose 4*o + 11 = -1. Which is the nearest to 2/5? (a) o (b) 3 (c) -2/13 c Let q be -4 - (-2 + (-11)/7). What is the nearest to -0.2 in 0.4, -0.1, q? -0.1 Let p = 1.7 + -0.3. Let q = p + -1. Let h = -0.6 - q. Which is the nearest to h? (a) 1 (b) 0.3 (c) -5 b Let r = 0.3 + -0.5. Let v = -0.2 - r. Suppose -f - 5*q = -8, -2*f - q - 2 + 0 = 0. Which is the nearest to v? (a) 0.4 (b) f (c) 0.5 a Let h = 12.4 - 12. Which is the closest to -2? (a) 0.5 (b) -2/7 (c) h b Let w = -7/23 - 2/69. Let n = 1.5 + -1.3. What is the closest to w in n, -2, -0.3? -0.3 Let m = 0.3 - 0. Let r = m - 0.4. Let f = r - -0.6. Which is the closest to 0? (a) -2/3 (b) 0 (c) f b Let h = -2332/3 + 784. Suppose -11 + 32 = 3*k. Let y = k - h. What is the closest to y in -4, 1/7, -5? 1/7 Let f = -0.071 - 0.029. What is the nearest to -2 in 1/2, 5, f? f Let h = -30 - -30.5. Let p = -11.8 + 12. Let x be ((-2)/(-6))/(26/(-12)). Which is the nearest to -2? (a) h (b) x (c) p b Let o = 17.9 + -18. Let v = 3 - 1. What is the nearest to v in o, -4, 0? 0 Let p be 2/11 + (-4)/(-11). Let j = -125 - -121. Which is the nearest to -1/3? (a) -5 (b) p (c) j b Let o = -11 - -8. Let p = -3 + 1. What is the closest to -1 in o, p, 5? p Let z = -34 - -33.5. Let q be (-1038)/(-3682) + (-4)/14. Let n = 784/1315 - q. What is the closest to -0.1 in -1/4, n, z? -1/4 Let u = -9 + 9. Which is the closest to u? (a) 7/3 (b) 1 (c) 0 c Suppose -10 = 5*y, -5*s - y + 1 = y. Let f = -0.8 + 1.1. Let v = -3.3 + f. Which is the closest to 1/4? (a) 3/8 (b) s (c) v a Let x = 35.9 + -36. Which is the nearest to x? (a) -2 (b) -3 (c) 1 c Let i = -2.1 - 0.2. Let d = 1.99 - -0.01. Let v = d + i. Which is the closest to -2/3? (a) 4 (b) v (c) -1 c Let m = -26 + 26.1. Let v = 0.4 - 0.3. Which is the nearest to v? (a) -0.5 (b) m (c) -1/7 b Let f be -4 + ((-35)/(-2))/7. What is the closest to -1 in 2, f, 4? f Let r = 1.78 + 0.22. What is the closest to r in 0.5, 0, -4? 0.5 Let o = -3 - -3.4. What is the nearest to 1 in 5, o, -0.5? o Let m = -0.86 - -0.9. Let l = m + -0.34. Which is the nearest to -2? (a) 3 (b) 1 (c) l c Let w = 3.7 + 0.3. Suppose -2 = -2*x + 3*x. What is the closest to -0.1 in w, 2/7, x? 2/7 Let d = 0 - -0.1. Let n = -99/260 + -1/52. Which is the nearest to d? (a) -1/7 (b) n (c) 0.4 a Let s(i) = 2*i + 4. Let l be s(-3). What is the nearest to -1 in 1/3, 1/4, l? l Let k = -3.1 + 3. Let i = 3 - 2. Which is the nearest to 2/5? (a) i (b) 3 (c) k c Let y = -0.5 - 0. Let m = y + -0.3. Let f = 0.3 + m. Which is the closest to -1/2? (a) 0.3 (b) f (c) 2 b Let r(o) = o**2 + 4*o + 1. Suppose k + 19 = -3*q, 9*q + 37 = -3*k + 4*q. Let t be r(k). What is the nearest to -1 in -3/2, -1/6, t? -3/2 Let x(z) = -5*z**2 + 10*z + 11. Let c be x(-1). What is the closest to 1 in 1/2, 1, c? 1 Let l = 0.25 - 16.25. Let n = l + 9. Let h = n + 8. What is the nearest to -2/3 in -0.5, -2/7, h? -0.5 Let x = 0.006 - -0.264. Let w = -0.13 - x. Let u = 0.2 + -0.3. Which is the nearest to 1? (a) w (b) -4 (c) u c Let b = 13.54 - 15.6. Let q = b + 0.06. Let r = 3/2 - -1/6. What is the closest to q in r, -0.4, -2/25? -0.4 Let l be 2/5*1 + 0. Let w = -27.8 + 19.8. What is the nearest to l in 3, w, -1/4? -1/4 Let t = 0.24 - -12.76. Let w = t + -8. Let d = -521/6 - -87. Which is the closest to 0.1? (a) w (b) d (c) -3 b Let o = 1.13 - 0.83. What is the closest to -8 in o, 1/3, -0.4? -0.4 Let h(t) = 3*t + 7. Let g be h(-4). Let v = 1.3 - 1. What is the nearest to -2 in g, v, 2/25? 2/25 Let k = 0.02 + 0.38. Let i = 2 - 1.4. Let f = -0.7 + i. What is the closest to f in k, -2/7, -2? -2/7 Let v(i) = -i**2 - 3*i + 3. Let s be v(0). What is the nearest to -7 in s, -0.1, 0.3? -0.1 Let g = 0.1 - 0.03. Let t = -0.03 - g. Which is the closest to t? (a) 2/5 (b) -2 (c) 2 a Let b = -10 - -9.9. Let a = -4.9 + b. What is the closest to -2/7 in -0.4, 0.1, a? -0.4 Let v = -119 + 118.7. What is the closest to 0.04 in 1/9, v, -1? 1/9 Let z = 120 + -125. What is the closest to 0.4 in z, 5, -2/15? -2/15 Suppose 30*i = 9*i + 63. Let r = -0.1 - 0.9. Which is the nearest to -1? (a) i (b) r (c) 1/2 b Suppose 0 = 2*v - 4 - 2. Let q = 0.01 + -4.01. Let h = -5 - q. What is the closest to 2/3 in h, v, 1/4? 1/4 Let y = 58/95 + -4/19. Let u = 9 - 5. Let g = 0.3 + -0.1. Which is the nearest to y? (a) -1 (b) u (c) g c Let x(o) = o**2 + 8*o + 2. Let v be x(-8). Suppose 30 = 5*b - 5*f, -v*f - f = -5*b + 38. Suppose -8*d + 3*d = b. What is the nearest to 1 in 0.5, -0.5, d? 0.5 Let j = -24.4 - -25. Which is the closest to -1/2? (a) 0 (b) j (c) 1/6 a Let s = 6 - 1. Let q = 3.9 + -1.4. Let g = 2.8 - q. Which is the closest to -1? (a) s (b) 0.4 (c) g c Let j be (0 + 1)*(-2)/8. Let y = -2.8 - 1.2. Let k be 2 - (1 - 1)*1. Which is the closest to j? (a) y (b) k (c) 0.3 c Let m = 3664/13 + -282. What is the nearest to -1 in m, 1/5, 5/3? m Let f = 49 + -61. What is the nearest to 1/3 in f, 5, -2? -2 Let t = 3.8 + -1.8. What is the nearest to -2/9 in t, 5, 0.5? 0.5 Let
{ "pile_set_name": "DM Mathematics" }
143, -272, -461, -722? -2*h**3 - 7*h + 13 What is the k'th term of 61, 30, -21, -92? -10*k**2 - k + 72 What is the d'th term of 38, 78, 122, 170, 222, 278, 338? 2*d**2 + 34*d + 2 What is the y'th term of 57, 187, 403, 705, 1093, 1567, 2127? 43*y**2 + y + 13 What is the n'th term of -854, -1709, -2564? -855*n + 1 What is the c'th term of -208, -219, -234, -253? -2*c**2 - 5*c - 201 What is the y'th term of -8, -25, -40, -53, -64, -73, -80? y**2 - 20*y + 11 What is the h'th term of 45, 94, 143, 192? 49*h - 4 What is the y'th term of -27, -59, -113, -189, -287, -407, -549? -11*y**2 + y - 17 What is the n'th term of 4039, 4043, 4049, 4057, 4067? n**2 + n + 4037 What is the y'th term of -121, -214, -377, -616, -937, -1346, -1849, -2452? -y**3 - 29*y**2 + y - 92 What is the u'th term of 61, 112, 163, 214, 265? 51*u + 10 What is the w'th term of -1288, -1281, -1270, -1255, -1236? 2*w**2 + w - 1291 What is the i'th term of 24, 32, 40? 8*i + 16 What is the h'th term of -225, -223, -221, -219? 2*h - 227 What is the x'th term of 321, 355, 387, 411, 421, 411? -x**3 + 5*x**2 + 26*x + 291 What is the a'th term of 501, 2001, 4501, 8001, 12501, 18001? 500*a**2 + 1 What is the m'th term of -56, -97, -140, -185, -232, -281? -m**2 - 38*m - 17 What is the q'th term of -913, -1826, -2739, -3652, -4565, -5478? -913*q What is the w'th term of -155, -147, -129, -95, -39, 45? w**3 - w**2 + 4*w - 159 What is the i'th term of 104, 41, -8, -37, -40, -11? i**3 + i**2 - 73*i + 175 What is the s'th term of 41, 103, 177, 269, 385, 531? s**3 + 55*s - 15 What is the f'th term of -224, -450, -676, -902, -1128? -226*f + 2 What is the i'th term of 70, 127, 184? 57*i + 13 What is the n'th term of 210, 376, 552, 744, 958, 1200? n**3 - n**2 + 162*n + 48 What is the c'th term of -13, -20, -33, -52, -77, -108? -3*c**2 + 2*c - 12 What is the y'th term of -58, -154, -234, -292, -322? y**3 + 2*y**2 - 109*y + 48 What is the y'th term of 390, 389, 388, 387, 386? -y + 391 What is the d'th term of -3653, -3655, -3659, -3665, -3673? -d**2 + d - 3653 What is the n'th term of 526, 1056, 1600, 2164, 2754, 3376? n**3 + n**2 + 520*n + 4 What is the o'th term of -49, -102, -141, -160, -153, -114, -37, 84? o**3 + o**2 - 63*o + 12 What is the l'th term of -707, -708, -709, -710, -711? -l - 706 What is the k'th term of 31464, 31465, 31466, 31467, 31468? k + 31463 What is the t'th term of -13819, -27641, -41463, -55285, -69107? -13822*t + 3 What is the m'th term of 114, 109, 100, 87, 70, 49, 24? -2*m**2 + m + 115 What is the v'th term of -68, -261, -582, -1031, -1608, -2313? -64*v**2 - v - 3 What is the p'th term of 18, 52, 112, 204, 334, 508? p**3 + 7*p**2 + 6*p + 4 What is the d'th term of 2861, 2858, 2855, 2852, 2849? -3*d + 2864 What is the f'th term of 43, 42, 33, 16? -4*f**2 + 11*f + 36 What is the w'th term of -2595, -2594, -2593, -2592, -2591? w - 2596 What is the n'th term of 38, 9, -22, -55, -90? -n**2 - 26*n + 65 What is the w'th term of 790, 789, 788? -w + 791 What is the a'th term of -11, 1, 13, 25, 37? 12*a - 23 What is the z'th term of -2334, -4666, -6998, -9330? -2332*z - 2 What is the f'th term of -678, -688, -712, -756, -826, -928, -1068? -f**3 - f**2 - 676 What is the l'th term of -420, -443, -466, -489, -512? -23*l - 397 What is the t'th term of -76, -82, -86, -88, -88, -86, -82? t**2 - 9*t - 68 What is the d'th term of 117, 479, 1097, 1977, 3125? d**3 + 122*d**2 - 11*d + 5 What is the x'th term of -2149, -2142, -2133, -2122, -2109, -2094, -2077? x**2 + 4*x - 2154 What is the o'th term of -12, -48, -108, -204, -348, -552, -828? -2*o**3 - 22*o + 12 What is the r'th term of 4725, 9448, 14171, 18894, 23617? 4723*r + 2 What is the q'th term of -3486, -3485, -3484? q - 3487 What is the n'th term of -107, -221, -335, -449? -114*n + 7 What is the q'th term of -102, -200, -304, -414, -530, -652, -780? -3*q**2 - 89*q - 10 What is the x'th term of -50, -182, -532, -1208, -2318? -18*x**3 - x**2 - 3*x - 28 What is the c'th term of -74, -79, -80, -77, -70, -59, -44? 2*c**2 - 11*c - 65 What is the b'th term of 120, 165, 254, 399, 612, 905, 1290, 1779? 2*b**3 + 10*b**2 + b + 107 What is the q'th term of -329, -1318, -2963, -5264, -8221? -328*q**2 - 5*q + 4 What is the v'th term of 201, 400, 599, 798, 997? 199*v + 2 What is the i'th term of -32, -65, -110, -173, -260, -377? -i**3 - 26*i - 5 What is the i'th term of 18, -32, -116, -234, -386, -572? -17*i**2 + i + 34 What is the d'th term of 1, -37, -109, -221, -379? -d**3 - 11*d**2 + 2*d + 11 What is the k'th term of -477, -478, -479, -480? -k - 476 What is the x'th term of 8, -2, -12? -10*x + 18 What is the h'th term of -158, -137, -116? 21*h - 179 What is the x'th term of -7, -1, 15, 47, 101, 183, 299, 455? x**3 - x**2 + 2*x - 9 What is the p'th term of -11, -8, 7, 34, 73, 124, 187? 6*p**2 - 15*p - 2 What is the y'th term of -89, -105, -121, -137, -153, -169? -16*y - 73 What is the s'th term of -77, -326, -745, -1334, -2093, -3022? -85*s**2 + 6*s + 2 What is the t'th term of -112, -108, -110, -124, -156, -212? -t**3 + 3*t**2 + 2*t - 116 What is the n'th term of -2253, -2251, -2249, -2247, -2245, -2243? 2*n - 2255 What is the v'th term of 128, 250, 372, 494, 616, 738? 122*v + 6 What is the c'th term of -10007, -20015, -30023, -40031, -50039? -10008*c + 1 What is the t'th term of 0, -6, -24, -60, -120, -210, -336? -t**3 + t What is the v'th term of 39, 120, 263, 498, 855? 5*v**3 + v**2 + 43*v - 10 What is the m'th term of -175, -350, -513, -658, -779, -870? m**3 - 182*m + 6 What is the g'th term of -11, -37, -95, -197, -355, -581, -887? -2*g**3 - 4*g**2 - 5 What is the y'th term of -1126, -1121, -1112, -1099, -1082? 2*y**2 - y - 1127 What is the n'th term of 414, 828, 1244, 1662, 2082, 2504? n**2 + 411*n + 2 What is the g'th term of 36, 33, 34, 45, 72, 121? g**3 - 4*g**2 + 2*g + 37 What is the z'th term of 1328, 1502, 1664, 1808, 1928? -z**3 + 181*z + 1148 What is the j'th term of -414, -826, -1238, -1650? -412*j - 2 What is the z'th term of -5, -36, -87, -158? -10*z**2 - z + 6 What is the p'th term of 93, 87, 77, 63, 45, 23, -3? -2*p**2 + 95 What is the l'th term of -101, -201, -301, -401, -501, -601? -100*l - 1 What is the q'th term of -96, -89, -76, -57, -32, -1, 36? 3*q**2 - 2*q - 97 What is the p'th term of -16, -20, -24, -28? -4*p - 12 What is the g'th term of 6, -2, -12, -18, -14, 6, 48, 118? g**3 - 7*g**2 + 6*g + 6 What is the m'th term of -37, -46, -71, -118, -193, -302? -m**3 - 2*m**2 + 4*m - 38 What is the s'th term of 102, 94, 74, 36, -26, -118? -s**3 - s + 104 What is the f'th term of 266, 393, 522, 653, 786, 921, 1058? f**2 + 124*f + 141 What is the b'th term of -64, -130, -196? -66*b + 2 What is the q'th term of -3970, -3966, -3952, -3922, -3870, -3790, -3676, -3522? q**3 - q**2 - 3970 What is the t'th term of -190, -740, -1666, -2974, -4670, -6760, -9250? -t**3 - 182*t**2 + 3*t - 10 What is the f'th term of -2, 8, 18, 28, 38? 10*f - 12 What is the u'th term of -1301, -1302, -1303? -u - 1300 What is the b'th term of -50, -81, -160, -311, -558? -4*b**3 - 3*b - 43 What is the k'th term of -13968, -13966, -13976, -14004, -14056, -14138? -k**3 + 9*k - 13976 What is the p'th term of 411, 814, 1219, 1626, 2035? p**2 + 400*p + 10 What is the s'th term of 18404, 18408, 18414, 18422, 18432, 18444, 18458? s**2 + s + 18402 What is the s'th term of -176, -357, -538, -719, -900? -181*s + 5 What is the l'th term of -313, -627, -941? -314*l + 1 What is the z'th term of 6383, 6381, 6379? -2*z + 6385 What is the z'th term of -8, 11, 42, 85, 140? 6*z**2 + z - 15 What is the q'th term of 4, 1, -10, -29? -4*q**2 + 9*q - 1 What is the d'th term of 330, 313, 284, 243, 190, 125? -6*d**2 + d + 335 What is the q'th term of -156, -162, -166, -168? q**2 - 9*q - 148 What is the b'th term of -1181, -2371, -3561, -4751? -1190*b + 9 What is the d'th term of 661, 642, 601, 532, 429, 286, 97, -144? -d**3 - 5*d**2 + 3*d + 664 What is the p'th term of 15, -63, -273, -681, -1353, -2355, -3753? -11*p**3 - p + 27 What is the y'th term of -249, -198, -133, -48, 63? y**3 + y**2 + 41*y - 292 What is the q'th term of -35, -135, -301, -533, -831, -1195? -33*q**2 - q - 1 What is the q'th term of 34, 27, 6, -35, -102? -q**3 - q**2 + 3*q + 33 What is the z'th term of 6, 10, 1
{ "pile_set_name": "DM Mathematics" }
Which is smaller: -308/45 or -7? -7 Is 0.1 at most -4526? False Which is bigger: 1 or 456? 456 Which is bigger: -38 or -16? -16 Which is greater: -3/2078 or 0? 0 Which is smaller: 26/73 or 0? 0 Which is smaller: -94 or -4? -94 Which is bigger: -0.4 or -0.1? -0.1 Is 260 < 260? False Is 26 greater than or equal to 0.066? True Is -25 bigger than -34? True Which is greater: -12030 or -12029? -12029 Which is smaller: 205 or 207? 205 Which is greater: 38/9 or 270? 270 Are 0 and -41/64 unequal? True Which is smaller: 0.3 or -25? -25 Which is bigger: -14/19 or -2? -14/19 Do 11/32 and 1 have the same value? False Which is bigger: -3 or -114/37? -3 Is -919 smaller than -918? True Which is bigger: 4 or 58? 58 Are -11 and -13 non-equal? True Is 606 not equal to 5? True Are 772 and 8482/11 non-equal? True Which is smaller: -14 or -20? -20 Is -1 greater than -248? True Which is smaller: 1 or 44/1047? 44/1047 Which is smaller: -1/51 or 0? -1/51 Is -1 < -2/131? True Is -43 != -46? True Which is smaller: 333 or 344? 333 Is 1149 less than or equal to 1170? True Is 639 less than 639? False Is 1 bigger than 12.5? False Which is bigger: -41 or -10/11? -10/11 Which is smaller: 1 or 2/14883? 2/14883 Is -1702 <= -1702? True Is -6146 smaller than -6146? False Is -54896 less than -54897? False Which is greater: 0.12 or 0? 0.12 Are 21 and -632 unequal? True Which is smaller: 135 or 128? 128 Which is greater: 3/32 or 1/103? 3/32 Is 3616 greater than or equal to 3616? True Is -768 < -768? False Is 204 < 193? False Is 3/41 less than or equal to 0.3? True Does 1/4 = -2/255? False Is -0.18 at least as big as 36? False Which is smaller: -789 or -805? -805 Is 0.17 greater than 4? False Which is smaller: -1153 or -3? -1153 Which is smaller: -79 or -78? -79 Is -29953 at least as big as -29953? True Is 2/2989 equal to 1? False Is -1 less than 3/535? True Which is smaller: -2552 or 2? -2552 Which is greater: -0.1 or -17625? -0.1 Which is smaller: 5/224 or -0.1? -0.1 Which is smaller: -84 or -81? -84 Which is smaller: 26 or 29? 26 Which is smaller: -355 or -364? -364 Which is bigger: 4/15 or -250? 4/15 Is -40 greater than -403/10? True Is 16/87 less than 0? False Is -73 at most as big as -73? True Which is greater: -31/23 or 0? 0 Do -0.5 and 3.5 have the same value? False Is 27 >= 1? True Is 3715 greater than 3715? False Which is greater: -12 or -160/13? -12 Which is smaller: -54/13 or 2? -54/13 Which is smaller: -13/3707 or -1? -1 Which is bigger: -1 or -2/2173? -2/2173 Which is bigger: 11971/5 or 2395? 2395 Is 10 greater than 9? True Do 91 and 1936/21 have different values? True Which is smaller: 1 or 9/4957? 9/4957 Is -4656 at most as big as -4655? True Which is smaller: -1 or 1735? -1 Is -2/13 at least as big as -211/6? True Which is bigger: 1 or 10/2543? 1 Is -0.5 at most as big as 6/157? True Which is smaller: 2/3 or 162.2? 2/3 Is 148 at least as big as 148? True Is 78/167 smaller than -1? False Is 319 >= 318? True Are -36 and -55 unequal? True Does -2/1659 = 1? False Is -1 >= -6/523? False Which is greater: 50 or 11? 50 Is -13865 > -13864? False Which is smaller: 1/20 or 24? 1/20 Which is bigger: -1 or -29/281? -29/281 Is -21 > 19? False Are -200 and -2/5 equal? False Is -0.2 < -10.4? False Is -27814 >= -27812? False Is 3042 at most as big as 3042? True Which is greater: 59 or 1409/24? 59 Is 7651 less than or equal to 7651? True Are -552 and -560 equal? False Is -2/3097 smaller than 1? True Are 32/15 and 3 nonequal? True Which is greater: 7 or -48? 7 Is -1 bigger than -118/121? False Are -2/9 and 0 non-equal? True Which is bigger: 5/3 or 177? 177 Which is smaller: 0.075 or 0.3? 0.075 Is 147 != 120? True Which is smaller: 813 or 3? 3 Which is smaller: 0.1 or 2963? 0.1 Is 3 < 125/38? True Is 1185 greater than 1189? False Which is greater: 10974 or 10975? 10975 Which is smaller: -1 or 1/11? -1 Which is smaller: 1302/11 or 119? 1302/11 Is 817 smaller than 817? False Is 9 >= 177/17? False Do -24.9 and -1 have different values? True Is 144/7 not equal to 21? True Which is greater: -42 or -6? -6 Are -1/502 and 1 non-equal? True Which is smaller: -0.1 or -350? -350 Which is smaller: 13/2 or 156/11? 13/2 Is 1/1355 greater than -1? True Which is smaller: -0.05 or -100? -100 Which is greater: -1/48 or -0.02? -0.02 Which is bigger: 1056 or 1055? 1056 Do 8871 and 8871 have the same value? True Which is bigger: -231 or -229? -229 Is 1 less than -46/229? False Is 116 at least as big as 2/5? True Which is bigger: -2097 or -2099? -2097 Is -46 <= -780/17? True Is -546 not equal to -3823/7? True Which is smaller: 0.5 or -0.074? -0.074 Which is smaller: -288 or -278? -288 Is -0.00978 less than 6? True Which is bigger: 671 or 672? 672 Do 84 and 32 have different values? True Which is smaller: 1222 or 1236? 1222 Does -1/20555 = 0? False Is 0 > -5/353? True Which is smaller: 8 or 103/11? 8 Are -499/3 and -165 unequal? True Is 34/4637 at most 1? True Is -80 at most as big as -716/9? True Is 1/94 at most -2.7? False Which is greater: -2/15 or -9/11? -2/15 Do -0.09 and 6.4 have different values? True Is 2/55 at least 0? True Which is bigger: 4 or -15? 4 Which is greater: 1 or -2/11459? 1 Do 0.07 and -13 have the same value? False Do 167 and 160 have the same value? False Which is bigger: 595 or 577? 595 Which is bigger: -142 or -1564/11? -142 Which is bigger: -137/3 or -0.21? -0.21 Is -1523 greater than -1529? True Is -363 < -363? False Which is smaller: -0.8267 or -0.1? -0.8267 Which is smaller: -1 or -1/9639? -1 Is 50/27 at least as big as 1? True Is -52 > 0.041? False Is 1 at most as big as -1/3519? False Is 1 greater than -3/5968? True Which is bigger: -38 or 8.8? 8.8 Are 4 and 67/19 equal? False Which is bigger: -265 or -258? -258 Which is bigger: 79 or 0.11? 79 Which is bigger: -7/360 or 0? 0 Which is smaller: 1 or -592? -592 Do -131 and -134 have different values? True Do 105 and 102 have different values? True Which is smaller: 219 or 217? 217 Is 0 at most as big as 111.6? True Which is bigger: -58 or -60? -58 Is 1 not equal to -2/11351? True Are 3 and -218 equal? False Are -1/1375 and -1 non-equal? True Does 193 = 189? False Is 53 bigger than 325/6? False Is 958 bigger than 940? True Is 18 >= 18? True Does 1/109 = -44? False Is 160 at least 164? False Are -178 and -167 non-equal? True Which is bigger: -136 or -8? -8 Which is greater: -5/981 or 1? 1 Which is smaller: -1619 or -1617? -1619 Is -2/39649 less than -1? False Which is smaller: 34/21 or 2? 34/21 Is 0.037 less than or equal to 33? True Which is smaller: -356 or -353? -356 Which is smaller: -152 or -156? -156 Which is smaller: -698 or -701? -701 Is -3/2 greater than -14488? True Which is smaller: -1 or -7/464? -1 Is -0.0324 less than or equal to 2? True Is -228 > -3896/17? True Which is bigger: -0.2 or -6/113? -6/113 Which is bigger: -53 or 1? 1 Is -1 smaller than 12/683? True Which is smaller: 354 or 356? 354 Which is smaller: 0.06 or -2.7? -2.7 Does 303 = 303? True Which is bigger: -31 or -36? -31 Is -6420 less than 2? True Is 207 > 203? True Which is greater: -126/59 or -1? -1 Are 69 and 69 equal? True Is -55 less than or equal to -111/2? False Is 4 at most 7? True Which is greater: -13 or 87? 87 Is -32 > -34? True Which is greater: 98/27 or 4? 4 Which is smaller: -17/2 or 2/15? -17/2 Which is smaller: -2991 or -2990? -2991 Is -349 at least -1? False Which is smaller: -82 or 0.06? -82 Which is smaller: -253 or -258? -258 Which is bigger: 52 or 41? 52 Which is greater: -7/1040 or 1? 1 Is 576 <= 576? True Which is smaller: -114 or -124? -124 Which is smaller: 17545 or 17542? 17542 Is 4/325 < -1? False Is 0.1 greater than 475? False Which is smaller: 2 or 241/6? 2 Is -12 >= -91/8? False Are -1 and 67.2 nonequal? True Is 12/3809 bigger than -1? True Which is bigger: 187/30 or 7? 7 Which is bigger: -1 or -2/1035? -2/1035 Which is smaller: 0 or -105/71? -105/71 Is -1 greater than 30/2719? False Which is greater: 553 or 2217/4? 2217/4 Which is smaller: 1/95 or 2? 1/95 Is -2/75 > -3/2? True Which is bigger: 7 or -1.5? 7 Which is smaller: -3 or -232? -232 Do -869 and -870 have the same value? False Which is greater: 24 or -8? 24 Which is greater: -1 or -12/4265? -12/4265 Which is bigger: -24 or -71? -24 Is -8302 less than or equal to -
{ "pile_set_name": "DM Mathematics" }
ut 5 * 3.23. 16.15 -0.2 times 0.038 -0.0076 Work out -0.1 * -3.5. 0.35 What is the product of 0.3 and 127? 38.1 Work out -9 * 61. -549 58*-0.02 -1.16 Work out 746 * -6. -4476 -0.2*-0.44 0.088 11 times -1.19 -13.09 -0.168 * -4 0.672 0.1 * 0.67 0.067 Product of -4 and -92.2. 368.8 What is the product of 418 and -3? -1254 -156*-0.09 14.04 Work out -0.0022 * -9. 0.0198 -4*-25.7 102.8 What is 0.2 times -0.3413? -0.06826 Multiply 1.75 and 2.8. 4.9 Product of -11.46 and -4. 45.84 What is the product of 0.4 and 6.22? 2.488 0.3 * -1.37 -0.411 Product of -0.18 and 0.2. -0.036 Product of -629 and 0.4. -251.6 -5*-35 175 0.36*0.7 0.252 Work out -5 * -0.014. 0.07 -327 times 3 -981 Work out -26.1 * -0.4. 10.44 What is -16440 times -0.2? 3288 10 times -0.17 -1.7 Multiply -13 and 8. -104 What is 576.7 times -0.5? -288.35 Work out 0 * -1848. 0 Product of 5 and -54. -270 Multiply 1 and 10.42. 10.42 Calculate 2*0.69. 1.38 -0.09982 * -0.1 0.009982 Work out -1.22 * -0.2. 0.244 8 times 2759 22072 140*-3 -420 Work out 1145 * 4. 4580 0.2 times -159 -31.8 113 * 4 452 1*-1671 -1671 Work out -5 * 70. -350 Work out -0.5 * -42.4. 21.2 -531 times -0.13 69.03 78*4 312 1.1*-0.059 -0.0649 -418 * -1.2 501.6 Product of 0.2 and 2.76. 0.552 Multiply -8 and 0.2382. -1.9056 -238.7 times 0.5 -119.35 -0.3 * -28.09 8.427 Product of -3 and -1.499. 4.497 What is the product of -2 and 202? -404 Work out 0.6 * -10. -6 Product of 15 and -0.1. -1.5 -8501*0.4 -3400.4 Product of -25 and 122.8. -3070 Work out 62 * 2. 124 0.1 * 0.0556 0.00556 333 * 0.6 199.8 Calculate -31*3. -93 Multiply 2.2 and -22. -48.4 Calculate 7010*1. 7010 What is -17 times 0.25? -4.25 -26 times -12 312 Multiply 0.68 and 0.19. 0.1292 -0.1 times -53 5.3 0.024*-1.2 -0.0288 Product of -0.1 and -10.07. 1.007 What is the product of -55 and -40? 2200 84*255 21420 -43 * 0.022 -0.946 -787 * 5 -3935 What is 1.668 times 20? 33.36 2 times -187 -374 7250 times 5 36250 What is 0.64 times -0.14? -0.0896 Calculate -0.4*-0.101. 0.0404 Work out -6352 * 0.3. -1905.6 -5*-0.16 0.8 Multiply 0 and 4858. 0 What is the product of -22 and 128? -2816 Calculate 0.3*-1.8. -0.54 Product of 2.9 and 19. 55.1 What is the product of 14 and 157? 2198 Multiply -2.9 and -0.3. 0.87 Multiply -0.2 and -5853. 1170.6 Work out -6 * 5. -30 Product of 45 and 18. 810 -0.5 times -0.01169 0.005845 What is the product of -15.94 and -5? 79.7 Calculate -46*-142. 6532 What is 10 times 9.4? 94 What is -5 times 0.237? -1.185 Calculate -0.37*-80. 29.6 -2653*-0.5 1326.5 27302 times 0.3 8190.6 Calculate 0.4*887. 354.8 Multiply -11 and 158. -1738 What is the product of 14.7 and 0.6? 8.82 What is the product of -17 and -0.02? 0.34 Multiply 0.73 and 1.3. 0.949 Product of -5.3 and 0.2. -1.06 367*-6 -2202 Multiply -2029 and -0.1. 202.9 2909*-0.4 -1163.6 -0.44 * 0.4 -0.176 What is the product of -22 and -4? 88 What is the product of -3 and -0.4? 1.2 Multiply 5 and 0.065. 0.325 What is the product of 14.68 and 4? 58.72 363*5 1815 -0.5 * -9.18 4.59 5 times 9278 46390 592 * -19 -11248 What is 306 times 1? 306 -2.7*-0.18 0.486 Calculate -0.15*0.2. -0.03 Multiply -6244 and 0. 0 What is the product of 5 and -0.3509? -1.7545 Multiply -3 and -18. 54 What is 571 times -0.5? -285.5 Work out 2378 * -0.3. -713.4 -139 * -0.3 41.7 Calculate -1*-1293. 1293 Product of 1221 and 0.1. 122.1 What is -0.03 times -25? 0.75 Multiply 5 and 138. 690 Work out -23.9 * 15. -358.5 -88 times 5 -440 What is the product of 0.05 and 48.75? 2.4375 Multiply 4 and -71. -284 What is 209 times -0.1? -20.9 -133 * 0.1 -13.3 -0.1*6 -0.6 Work out 0.669 * -0.04. -0.02676 Multiply -5 and 25. -125 -30*-0.65 19.5 -1 * -0.076 0.076 -6.4 times 26 -166.4 -0.2*-0.031 0.0062 What is the product of 1175.7 and 0.5? 587.85 -441 times 1.8 -793.8 0.17 * -5.2 -0.884 -0.08*1.1 -0.088 Multiply -0.2 and -11. 2.2 14 * -0.1059 -1.4826 Product of 172 and 0.02. 3.44 -15.4 times -0.2 3.08 Product of -5 and -7. 35 Product of 98 and 1. 98 Product of 0.2 and 0.0564. 0.01128 287 times -0.5 -143.5 -0.2 times -1851 370.2 What is 1 times 68? 68 Work out -0.4 * -1447. 578.8 What is the product of 6.71 and -2? -13.42 0.8 times 2 1.6 484 * 0.5 242 -3.3*-0.025 0.0825 -1541 times 5 -7705 What is the product of -303 and -14? 4242 Calculate 52*-0.5. -26 What is the product of 10.15 and 2? 20.3 0.1 times -250 -25 Product of -4 and 31. -124 -3 * -118 354 Multiply -0.2 and -13.21. 2.642 0.6 times 193 115.8 -4*-0.088 0.352 538 times -0.5 -269 Product of -1.14 and -0.36. 0.4104 -0.131 times -0.05 0.00655 0.13*-0.024 -0.00312 What is the product of 0.3 and 2.656? 0.7968 Product of 207 and 6.5. 1345.5 Product of 3.4 and 0.2. 0.68 Calculate 5*0.0494. 0.247 Product of -1.1 and -0.1. 0.11 What is the product of -0.13 and 14? -1.82 Work out 19 * -1.186. -22.534 Calculate 96.9*-0.07. -6.783 -0.35 times -60 21 Calculate 2901*5. 14505 -25 * -0.09 2.25 Calculate -0.6*0.33. -0.198 Work out 0.2 * -3. -0.6 12.82*-3 -38.46 57.3 * -0.16 -9.168 Multiply -0.4 and -46. 18.4 What is the product of -0.2 and -112.4? 22.48 Multiply 25 and 0.8. 20 Product of 3 and 20. 60 Work out 0 * -6.6. 0 -7 * -0.1 0.7 What is the product of 0.2132 and 0? 0 0.28 * -0.01 -0.0028 93 * 1 93 What is 47.4 times 0.053? 2.5122 11 times -0.5 -5.5 Multiply -0.1 and -14.2. 1.42 -13 * -182 2366 78.8*0.2 15.76 What is the product of 0.3 and -29? -8.7 What is the product of -39 and 10? -390 Work out 1.29 * 5. 6.45 0.5*309.5 154.75 0.16 times 0.064 0.01024 -5 * -60 300 Multiply 4 and 0.101. 0.404 3*-3 -9 Product of 2 and -51.8. -103.6 2 times 1055 2110 -0.176 * -0.19 0.03344 What is the product of -1 and 67.9? -67.9 Multiply 0.5 and 0.178. 0.089 0.07 * 422 29.54 Calculate -0.045*0.03. -0.00135 Product of 2895 and 1. 2895 Calculate -150*11. -1650 Work out -0.371 * -0.1. 0.0371 Work out -13.9 * -0.2. 2.78 Calculate -0.23*17. -3.91 What is -1804 times 0.2? -360.8 -1911 times -0.1 191.1 Calculate 0.55*-0.112. -0.0616 Work out 24 * 15.9. 381.6 What is -0.03587 times 5? -0.17935 Product of 0.022 and -1. -0.022 -8 * -0.08 0.64 -2 times 209 -418 Work out 4 * 3. 12 -11 times -16 176 Multiply 0.07 and -0.077. -0.00539 Work out 0 * 1.04. 0 What is 11 times -17? -187 What is 1070 times 5? 5350 What is the product of 9 and 927? 8343 What is the product of 0.043 and -0.3? -0.0129 -4 times -28 112 Calculate -0.5*-16.4. 8.2 What is -2 times -19? 38 What is 8 times 14.9? 119.2 Work out -99 * 4. -396 Multiply -3 and 37.8. -113.4 -0.9 * -0.07 0.063 40 * 0.06 2.4 Product of 55 and -20. -1100 -0.1 times -136 13.6 -4 * 2.81 -11.24 -1.73 * 0.4 -0.692 Work out -131 * -0.08. 10.48 What is the product of -0.02 and 12? -0.24 Multiply 0.2 and -709. -141.8 -25 times -0.1 2.5 Multiply -5.3 and 149. -789.7 -8.231 * -2 16.462 -0.09 times 0.041 -0.00369 0 times 4 0 2 * -30 -60 Product of 9297 and 0.1. 929.7 Product of 333 and -0.3. -99.9 -4 times 0.718 -2.872 Product of -0.1 and 904. -90.4 What is 4 times 0.0599? 0.2396 Work out 0.016 * -0.05. -0.0008 Multiply 3.34 and 0.3. 1.002 -3.3*175 -577.5 -3 times 0.049 -0.147 Product of 2.18 and 2. 4.36 Work out 31.06 * -6. -186.36 0.156*-2 -0.312 Multiply 207 and 3. 621 What is the product of -16 and -0.16? 2.56 0.1896 times 10 1.896 Work out 0.1 * -148. -14.8 What is the product of 7 and 3.6? 25.2 4 times -56 -224 Multiply 0.0541 and -0.3. -0.01623 What is -0.1 times 36? -3.6 Calculate 1*-26.92. -26.92 Work out -1107 * 0.3. -332.1 What is 0.04 times -44? -1.76 Calculate -101*5. -505 What is the product of 5 and -7? -35 Multiply 0.1 and 2.91. 0.291 What is -2764 times -1? 2764 What is -1.75 times 10? -17.5 Multiply 19 and -23. -437 -44 times 4 -176 What is 0.34 times -5? -1.7 Calculate 0.3*-81.9. -24.57 Calculate -172*-0.3. 51.6 What is the product of -3 and 70? -210 41.8 times 4 167.2 Work out -19 * 7. -133 What is 7 times 209? 1463 1713*-1 -1713 What is -6.697 times 2? -13.394 -0.4 times -1.29 0.516 Product of 0.2 and -4. -0.8 Calculate 0.2*-332. -66.4 What is the product of -6.59 and 0.1? -0.659 What is -151 times -1? 151 0.0822 * -0.2 -0.01644 What is -2.9 times 0.8? -2.32 -3 times 0.79 -2.37 Multiply -0.5 and 188. -94 32 * 5 160 What is the product of 140 and 0.3? 42 Product of 8 and -148. -1184 Work out -256 * 0.5. -128 Multiply 0.4727 and 0.3. 0.14181 Calculate 1.67*-5. -8.35 Multiply -0.9 and
{ "pile_set_name": "DM Mathematics" }
olve 4 = 28*v - q*v for v. 2 Suppose 4*a + 16 = -5*c, 11 + 1 = 4*a - 2*c. Suppose -6*j = 5 + a. Let w be -10*6*j/4. Solve 0 = -0*h + 3*h - w for h. 5 Let t be 28/3*(-1 + (-7)/(-4)). Solve -t*r - 5*r = -20*r for r. 0 Suppose 0 = d + 4*d - 4*c - 131, -5*d + 134 = -c. Suppose -33 = -3*p + 2*i + d, -40 = -2*p - 4*i. Solve p = -5*o - 0*o for o. -4 Let v(h) = 4*h + 115. Let q be v(-27). Let z = -13 + 17. Solve -q = -z*a + 13 for a. 5 Let k be ((-8)/(-10))/(2/10). Suppose 5*i = -5*h + 35, 2*h + 0*h - k = 3*i. Suppose d = -i, 5*n - 6 = -d - d. Solve -3 = n*x - 1 for x. -1 Let a(f) = f**3 - 16*f**2 + 17*f - 18. Let g be a(15). Solve -3*d - 15 = -g for d. -1 Let l = 16 - 19. Suppose -10 = u - 4. Let j = l - u. Solve -j*p - 5 = -2*p for p. -5 Suppose 2*y = -5*l - 3 + 11, -l + 2*y - 8 = 0. Let w(n) = n**3 - 15*n**2 - 14*n - 28. Let g be w(16). Suppose l = 9*c - g*c. Solve -x - 2 = -c for x. -2 Let w = -57 - -68. Solve -4*q + 3 = w for q. -2 Suppose 27 = -4*o + 87. Suppose -o*m + 14*m + 3 = 0. Solve m = n + 2 for n. 1 Let y(m) = m**3 - 7*m**2 + 4*m + 6. Let o be y(4). Let x = o + 26. Solve 2*s = -x*s - 4 for s. -2 Suppose -88 = -5*d + d. Let z = -31 - -38. Suppose 5*l - 3*t - 15 = 0, 5*t - 2 = -3*l + z. Solve -d + 7 = -l*x for x. 5 Suppose 10 = 4*q - 14. Let x = -6 + q. Suppose 3*t - 8*t = x. Solve t = 4*d - 2 + 18 for d. -4 Let f(a) = -a**3 + 6 + 0*a + 4*a**2 + 0 - 2 - 4*a. Let z be f(3). Suppose l - 3 = -z. Solve 5 = -i + l for i. -3 Suppose 3*d - 2*d + 4*m - 25 = 0, 0 = 4*d + 3*m - 87. Let g = -15 - -24. Suppose 2*r = -5*u + 17, -4 = -5*u - 3*r + g. Solve 4 = -u*n - d for n. -5 Suppose 3*a - 2 = -5*o + 4, -4 = -2*a - o. Solve 6*k = a*k + 12 for k. 3 Let t = 31 - 27. Solve -i = -t*i + 12 for i. 4 Let l(i) = i**3 - 4*i**2 + 3*i - 6. Let s be l(4). Solve -12 = -10*f + s*f for f. 3 Let n(q) = q**2 - 30*q + 7. Let r be n(30). Solve 3 = 6*w - r*w for w. -3 Let f(i) = -33 + 3*i + 14*i**2 + 35 - 3*i. Let p be f(-1). Solve 4*j = p - 4 for j. 3 Let r = -16 - -22. Let w be (3/r)/(2/12). Solve -2*i = -3*i + w for i. 3 Suppose -22*o + 72 = -13*o. Solve -5*q + o = 23 for q. -3 Let o be ((-18)/7)/((-16)/112). Solve 0*v - 90 = -o*v for v. 5 Suppose 5 + 0 = -5*r. Let p be 1/(r/(1 - -8)). Let n = -4 - p. Solve n = 2*a - 3 for a. 4 Let s(g) = g**2 + 15*g + 16. Let a be s(-14). Suppose 0 = -3*i + 26 + 67. Suppose -3*d - 2*w = -i, -4*d + 48 = 6*w - 2*w. Solve -a*j - d - 3 = 0 for j. -5 Suppose -a - 4*s = 7, -2*a + 10 = -3*s - s. Let b(d) = 2*d + 1. Let x be b(a). Let o be 66500/3250 - (-12)/(-26). Solve -o = -x*j - 8 for j. 4 Let m = 552 + -550. Solve -6 = -m*u + 4 for u. 5 Suppose -4*y + 54*y = 600. Solve y = 7*l - 4*l for l. 4 Let u = -200 + 212. Solve 3*s - u = -s for s. 3 Let p = 90 - 91. Let v be (p + 1)*(-4)/(-4). Solve 1 = -v*d + d for d. 1 Let u(w) = w**3 - 2*w**2 - 3*w. Let g be u(3). Let m(n) = 2*n**2 - 26*n + 1. Let i be (-2 + -1)/(9 - 12) - -12. Let y be m(i). Solve f - y + 2 = g for f. -1 Let w(u) = u**3 - 8*u**2 + 8*u + 2. Let q be w(4). Let l be ((-3)/(q/(-16)))/((-2)/5). Solve l*g + 12 = g for g. -4 Let b be (-5 + (-36)/(-8))*0. Solve 9*l - 6*l = b for l. 0 Suppose 47*z + 6 = 6. Solve -q + 2*q - 4 = z for q. 4 Let h(d) = 7*d**3 + 2*d**2 - d. Let u be h(1). Suppose 5*z = -c + 30 - u, -c + 14 = 3*z. Solve c*x = -1 - 5 for x. -3 Let m be 322/(-46) - -3*6. Solve 5 - m = -2*l for l. 3 Suppose 0 = 11*o + 85 - 129. Suppose -8 - 2 = -5*w. Solve f - o = w*f for f. -4 Suppose -560 = -117*z + 5*z. Let b be -2 - (1 - 5 - -2). Solve 5*l - 4*l - z = b for l. 5 Let p(f) = 5*f**3 + f**2 - 2*f. Let t be p(1). Let a be (1 + -6 - -2) + t. Solve -3*k + 2*k = a for k. -1 Suppose 0 = 17*q + 4*q - 84. Solve -q*d = -12 - 0 for d. 3 Let q(w) = -7*w**3 - 2*w**2 + 6*w + 8. Let j be q(-2). Solve -j*r + 36 = -32*r for r. 3 Let n(b) = b**3 + 7*b**2 - 8*b + 5. Let j be (16/(-2))/(-2 - -3). Let d be n(j). Let o be (-4)/(39/(-9) - -3). Solve 2*f + o*f = -d for f. -1 Let l = 91 + -71. Solve 5*h = -0*h - l for h. -4 Let q(y) = y**3 + 9*y**2 + 9*y + 11. Suppose 4*u = 2*u - 16. Let l be q(u). Solve t - 2*t = l for t. -3 Suppose -q = -4*u - 121, -u - 3*q - 72 = 2*u. Let i = u + 29. Solve i = -7*c + 2*c + 5 for c. 1 Let r = 23 + -21. Suppose -27 = 3*i + 4*o, 0*i + 4*o = r*i + 18. Let l be 4/(-6)*i - 0. Solve -l*b = -4*b for b. 0 Let u(a) = -a**3 - 5*a**2 - 2*a + 2. Let g be u(-4). Let p be 2/g*-6 - -4. Suppose 6*x = 24 - p. Solve k - x = -0*k for k. 3 Suppose 0 = -35*o + 7*o + 252. Solve 7*z - 2 = -o for z. -1 Suppose -1 - 1 = -b. Suppose 5*u + b*k = 21, 1 = u - 2*u - 3*k. Solve -2*n = -u - 3 for n. 4 Suppose -2*t + 15 = t. Let h = t + -5. Suppose 5*y - 17 = 3*z + 6, 0 = 3*y - 2*z - 14. Solve h*d = -d + y for d. 4 Let w(a) = -70*a + 18. Let u be w(0). Solve 9*c - 18 = u for c. 4 Let p be (2 - 51/21)/(12/(-56)). Solve -14 + p = 4*k for k. -3 Let w(x) = -33*x - 2. Let h be w(-2). Suppose 3*t - h = -t. Solve -1 = -5*l - t for l. -3 Let w = 300 + -279. Solve -7*s + w + 7 = 0 for s. 4 Let g = -15 + 17. Let l(w) = -9 - 5*w**2 - 3*w**3 + 3 - 6*w + g*w**3 + 0*w**3. Let p be l(-4). Solve 2*s - 12 = -p*s for s. 3 Suppose 30 = -t + 6*t - 5*v, 0 = t - 3*v - 10. Solve 0*b + t = b for b. 4 Suppose -4*n + n + 12 = -k, 3*k - 2*n + 8 = 0. Suppose 4*i = -5*l + i + 1, k = l + 4*i + 10. Suppose 4*o - l*g = 0, 3*o - o - 4 = -g. Solve z - o = 1 for z. 2 Suppose -5*p - 5 + 20 = 0. Let a(d) = d**3 - 4*d**2 + 3*d + 2. Let q be a(p). Solve 5*s = -18 - q for s. -4 Let l = 18 - 14. Suppose x = -b - 2, 3*b = l*x + x - 14. Solve 9 = 2*g - x for g. 5 Let r = 45 + -91. Let f = 55 + r. Solve -m + f = 2*m for m. 3 Suppose k = -k + 4*m + 108, 3*m = -4*k + 161. Let t be (33/k)/(1/4). Solve -t*i = -1 + 7 for i. -2 Suppose 85 = 3*q - 6*q - 2*u, 89 = -3*q - 4*u. Let y = q - -29. Solve 0 = -v + y*v + 5 for v. -5 Suppose -3*p = 3, -2*r + 2*p - 5*p = 83. Let i = r + 40. Solve i = -3*k + 5*k for k. 0 Let r = 23 + -3. Let h be 226/(-8) + 7/28. Let u = h - -28. Solve 5*p + u = -r for p. -4 Let s be (-2 + (-64)/(-10))*-5. Suppose 10*a - 193 = 57. Let r = s + a. Solve 0 = -z + r - 2 for z. 1 Let p(z) = z**3 - 4*z**2 + 4*z - 1. Let j be p(3). Let u = -1 + j. Let v be (-32)/(-12) + (-20)/(-60). Solve v = m - u for m. 4 Let q = 9 + -55. Let g = -24 - q. Suppose -5*k + 3 + g = 0. Solve -k*f - 10 = -0 for f. -2 Let v(q) = 92*q - 350. Let h be v(4). Solve -9*o = -3*o - h for o. 3 Let a(l) = -l - 19. Let t be a(-10). Let v = 9 + t. Suppose 5 = p, -8*p + 22 = -3*m - 3*p. Solve v = 4*n - 5*n + m for n. 1 Let p(d) = 2*d - 7. Let x be p(6). Suppose h - 1 = o + 2*h, -4*o = x*h + 8. Solve o*w + 2*w = 0 for w. 0 Let r(v) = v**3 + 7*v**2 - v - 3. Let m be r(-7). Let z be 1 + 1 - m/2. Suppose -3*c = 5*b - 17, -3*b = c - 8 + 1. Solve l = b - z for l. 1 Suppose -108*k = -104*k - 44. Solve -3 = -4*z - k for z. -2 Let t(k) = 9*k + 36. Let u be t(-3). Solve 5*b + u + 11 = 0 for b. -4 Suppose 3*f - 6 = f. Suppose 2784 - 3246 = -77*v. Solve -v = -3*s + f for s. 3 Suppose -115 = -2*x + 7*x. Let p = x + 35. Suppose -p = t - 4*t. Solve 0 = t*w - 12 for w. 3 Let f(t) = t**2 - 3. Let z be f(0). Let k be z/(-3*(-2)/(-6)). Solve 4*p = k - 11 for p. -2 Suppose 4 + 5 = c. Let h = 4 + c. Suppose 0 = 2*m + 5*o - 6 + 16, -2*o = -2*m + 18. Solve -m*v - 12 = h for v. -5 Let l(a) = -a**2 - 4*a + 3. Let q be l(-4). Let x(h) = h - 2. Let g be x(5). Let p be (g + -7 - -5) + q. Solve -5 = -p*o + 7 for o. 3 Suppose 51*i = 56*i + 15, 17 = 4*y - 3*i. Let k(n) be the second derivative of -n**4/12 - 7*n**3/6 + n**2 - n. Let v be k(-7). Solve -t = -v*t + y for t. 2 Let y = 140 + -139. Solve 9*b = 10 - y for b. 1 Let b = 15 - -5. Let x = -274 + 274. Solve x = -a - 4*a + b for a. 4 Suppose 32 = 5*a - 13. Let z be -1 + a/(18/8). Solve 5*g + z = 8 for g. 1 Suppose 0*a - 4*a = -12. Suppose -a*v = -213 - 105. Suppose 0 = 5*f - 0*q + 3*q - v, 0 = 5*f - 2*q - 96. Solve 3*j + f = -j for j. -5 Let l = 76 - 71. Let n be 2/(3 + 1) + l/2. Solve -n*k + 3 + 12 = 0 for k. 5 Suppose 5 = 2*f + 1. Suppose u - 12 = 2*k - 33, f*k = -u - 25. Let d = u + 23. Solve d*a + a = 3 for a. 3 Let s(p) = 3*p**3 - 15*p + 88*p**2 - 74*p**2 + 3*p**3 - 5*p**3. Let j be s(-15). Solve 2*y - 6*y = j for y. 0 Let j(u) = u + 12. Suppose 0 = -s - 4*m + 17, -2*s = 2*m - 23 + 7. Suppose 10 = -2*n - 3*b, -s*n + 4*b - 13 = 35. Le
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from qqtiaqqqqiiiiiqiqiq? 1/38 Four letters picked without replacement from lyyyinyyliyl. What is prob of sequence nlyl? 1/330 What is prob of sequence jl when two letters picked without replacement from {j: 11, l: 2}? 11/78 Four letters picked without replacement from mmuuulofufmufm. Give prob of sequence uulu. 5/2002 Two letters picked without replacement from {v: 2, d: 1, i: 4, j: 1}. What is prob of sequence ji? 1/14 Four letters picked without replacement from {g: 1, k: 3, i: 2, j: 2, d: 1, x: 9}. Give prob of sequence jjdi. 1/18360 Two letters picked without replacement from wsswwwswws. Give prob of sequence ww. 1/3 Three letters picked without replacement from ylidvwi. Give prob of sequence yvl. 1/210 Four letters picked without replacement from leymeeiyeeyy. Give prob of sequence mliy. 1/2970 Calculate prob of sequence bb when two letters picked without replacement from {b: 5, f: 5, p: 1}. 2/11 Calculate prob of sequence ufoh when four letters picked without replacement from {o: 5, f: 4, u: 1, r: 3, h: 1}. 5/6006 Two letters picked without replacement from zczzzrzzy. Give prob of sequence yz. 1/12 Four letters picked without replacement from ccxkcckoceecvc. Give prob of sequence xokc. 1/1716 Calculate prob of sequence ncc when three letters picked without replacement from {n: 2, c: 16}. 5/51 What is prob of sequence db when two letters picked without replacement from edbbebdqep? 1/15 Calculate prob of sequence brq when three letters picked without replacement from bqrqqqbqrbr. 1/22 What is prob of sequence wewe when four letters picked without replacement from {e: 7, w: 9}? 9/130 Four letters picked without replacement from {m: 2, x: 5, q: 9}. What is prob of sequence qxmq? 3/182 Calculate prob of sequence clcb when four letters picked without replacement from bbrblcc. 1/140 Calculate prob of sequence qv when two letters picked without replacement from {z: 1, e: 4, q: 5, v: 8}. 20/153 Calculate prob of sequence ky when two letters picked without replacement from koyed. 1/20 Four letters picked without replacement from {a: 6, q: 2, s: 2, b: 3, x: 1, h: 1}. What is prob of sequence bsxq? 1/2730 Two letters picked without replacement from gsbbpzp. What is prob of sequence bg? 1/21 Four letters picked without replacement from {w: 3, f: 2}. Give prob of sequence wfwf. 1/10 Calculate prob of sequence xs when two letters picked without replacement from xsx. 1/3 Three letters picked without replacement from pvvv. Give prob of sequence vpv. 1/4 Four letters picked without replacement from giwgwgggiw. What is prob of sequence ggii? 1/126 Four letters picked without replacement from ooytoccotyoyoottt. Give prob of sequence ctyc. 1/1904 Two letters picked without replacement from cccnccikrrccccrcn. What is prob of sequence rr? 3/136 Calculate prob of sequence chc when three letters picked without replacement from hphhpcpchchhhhhpcchc. 5/114 Calculate prob of sequence jjjj when four letters picked without replacement from {j: 9}. 1 Three letters picked without replacement from {q: 1, m: 2, x: 2, r: 2, f: 8}. Give prob of sequence qqf. 0 Calculate prob of sequence yyyq when four letters picked without replacement from {y: 7, q: 6}. 21/286 Calculate prob of sequence my when two letters picked without replacement from znzzzzzzzanyzzngzzm. 1/342 Two letters picked without replacement from nnnijnxininxnjjia. Give prob of sequence in. 7/68 Four letters picked without replacement from {t: 2, e: 1, i: 5, o: 1, j: 7}. What is prob of sequence teoj? 1/3120 Calculate prob of sequence ggkk when four letters picked without replacement from {e: 6, h: 1, j: 7, g: 4, k: 2}. 1/4845 Two letters picked without replacement from {h: 11, y: 1}. What is prob of sequence yh? 1/12 Four letters picked without replacement from cuucmdvdmvvcsm. Give prob of sequence vuds. 1/2002 Three letters picked without replacement from {o: 7, u: 4}. What is prob of sequence ouo? 28/165 Two letters picked without replacement from {v: 5, y: 14}. What is prob of sequence yv? 35/171 Calculate prob of sequence kzk when three letters picked without replacement from kszkgzi. 2/105 Four letters picked without replacement from ttbbbbbttvtvbtv. Give prob of sequence bbtb. 2/91 What is prob of sequence fxff when four letters picked without replacement from iiificxffi? 1/840 What is prob of sequence ibi when three letters picked without replacement from iiib? 1/4 Three letters picked without replacement from {v: 1, b: 1, t: 2, a: 7, s: 4}. Give prob of sequence sbs. 2/455 What is prob of sequence mwr when three letters picked without replacement from urwirmi? 1/105 Three letters picked without replacement from riwjd. Give prob of sequence ijw. 1/60 What is prob of sequence xvt when three letters picked without replacement from {t: 1, v: 1, x: 6, f: 1}? 1/84 What is prob of sequence jjh when three letters picked without replacement from zwjhjaw? 1/105 Four letters picked without replacement from {o: 5, u: 1, r: 1, p: 13}. Give prob of sequence prpo. 13/1938 Calculate prob of sequence pff when three letters picked without replacement from fffpfpffffpffffffffp. 8/57 What is prob of sequence nryy when four letters picked without replacement from {i: 1, n: 3, r: 1, k: 3, y: 3}? 1/440 Two letters picked without replacement from {j: 2, i: 4, x: 8}. Give prob of sequence ii. 6/91 What is prob of sequence uiy when three letters picked without replacement from wpbpiyu? 1/210 What is prob of sequence cc when two letters picked without replacement from cfvxvfi? 0 Two letters picked without replacement from {w: 1, p: 6, a: 3, b: 8, f: 1}. What is prob of sequence aw? 1/114 Calculate prob of sequence rppz when four letters picked without replacement from {p: 3, r: 1, l: 5, f: 4, d: 2, z: 5}. 1/3876 Four letters picked without replacement from jdjuj. Give prob of sequence ujjd. 1/20 Two letters picked without replacement from tttette. Give prob of sequence tt. 10/21 What is prob of sequence rwsp when four letters picked without replacement from {w: 4, s: 2, p: 3, r: 1, i: 4}? 1/1001 Calculate prob of sequence kk when two letters picked without replacement from {k: 2, n: 5, s: 12}. 1/171 Calculate prob of sequence ap when two letters picked without replacement from xpprppppxfapaa. 3/26 Three letters picked without replacement from llllblllllllbbbllll. Give prob of sequence bll. 140/969 Two letters picked without replacement from {o: 2, q: 3}. What is prob of sequence qo? 3/10 Four letters picked without replacement from {n: 2, p: 5, w: 3}. Give prob of sequence wwpw. 1/168 What is prob of sequence vv when two letters picked without replacement from vmvvvvmvvvmmvv? 45/91 What is prob of sequence uu when two letters picked without replacement from jujjujujjjjjjj? 3/91 What is prob of sequence kbzb when four letters picked without replacement from zkcbbak? 1/210 Calculate prob of sequence lyl when three letters picked without replacement from {l: 3, y: 15}. 5/272 Four letters picked without replacement from qxqxqgxq. Give prob of sequence xxqg. 1/70 Two letters picked without replacement from dzygkgzguuyu. Give prob of sequence uz. 1/22 Three letters picked without replacement from {g: 5, d: 3, b: 8}. Give prob of sequence bdb. 1/20 Calculate prob of sequence rrr when three letters picked without replacement from reerr. 1/10 Four letters picked without replacement from foqfzhzqzofqmhmfqmoh. What is prob of sequence mzqf? 2/1615 Three letters picked without replacement from {q: 1, i: 1, j: 2, h: 2, a: 1, x: 1}. What is prob of sequence qix? 1/336 Three letters picked without replacement from {b: 5, a: 1, n: 2, x: 6, z: 2}. What is prob of sequence ann? 1/1680 Calculate prob of sequence it when two letters picked without replacement from tiiuititiiiiti. 18/91 Calculate prob of sequence byb when three letters picked without replacement from byb. 1/3 What is prob of sequence ha when two letters picked without replacement from {h: 2, a: 1}? 1/3 Four letters picked without replacement from {p: 5}. Give prob of sequence pppp. 1 Two letters picked without replacement from {d: 13, l: 6}. Give prob of sequence dl. 13/57 Three letters picked without replacement from ciaaiiiacgigio. Give prob of s
{ "pile_set_name": "DM Mathematics" }
the second derivative of -4*g**4 + 8*g**2 - 311*g? -48*g**2 + 16 What is the derivative of 1156*f**2*v + 298*f**2 wrt v? 1156*f**2 Find the second derivative of -4*f**2*p**2 + 9*f**2*p - 11*k*p**2 + k*p + 2*k + p**2 wrt p. -8*f**2 - 22*k + 2 What is the derivative of -2838*w + 2389 wrt w? -2838 What is the first derivative of 604*p**2 - 1148 wrt p? 1208*p Find the second derivative of -13*z**5 + 61*z**4 - 67*z - 41. -260*z**3 + 732*z**2 What is the third derivative of 161*j**3*p**4 + j**3*p**3 - 53*j**3*p**2 + 3*j**3 - 5*p**4 + 6*p**2 wrt p? 3864*j**3*p + 6*j**3 - 120*p Differentiate 2*j**3*m*s**3 + 111*j**3*m + 27*j**3*p - j*p*s**2 + 2*m*p*s - 4*s**3 with respect to m. 2*j**3*s**3 + 111*j**3 + 2*p*s What is the third derivative of -2*n**5 + 59*n**4 - 46*n**2 - 5*n? -120*n**2 + 1416*n What is the derivative of -4*g**4 - 1122*g**2 - 17488 wrt g? -16*g**3 - 2244*g Find the first derivative of 914*p + 1653. 914 What is the third derivative of 9224*q**4 + 2*q**3 + q**2 + 2207*q? 221376*q + 12 What is the derivative of 2*g**2*h**3*i + 3*g**2*h**2*i + 2*g**2 - 9*h**3 + 3*i wrt i? 2*g**2*h**3 + 3*g**2*h**2 + 3 What is the second derivative of 1837*c**3 - 460*c wrt c? 11022*c What is the first derivative of 31*a*j**3*l**2 - 95*a*j*l**3 + 2*j**3*l**2 + 40*j*l**2 + 8*l**3 wrt a? 31*j**3*l**2 - 95*j*l**3 Find the second derivative of -1788*p**2 + 5456*p. -3576 Find the second derivative of 54*m**2 - 402*m wrt m. 108 What is the third derivative of 63*l**5 - 2*l**4 - 12*l**2 - 17*l wrt l? 3780*l**2 - 48*l Find the second derivative of -2*f**3*x**5 - 9*f**3*x**3 + 27*f**3*x wrt x. -40*f**3*x**3 - 54*f**3*x Find the second derivative of -4872*o**5*u**3 + o**5 + 3*o*u**3 - 42*u**2 + u wrt o. -97440*o**3*u**3 + 20*o**3 What is the second derivative of -2*i**2*t*u + 6932*i**2 - 4*i*t*u - 3*i*u + 15*i + t wrt i? -4*t*u + 13864 What is the derivative of -s*x*z**2 + 2*s*x - 2*s*z**3 + 143*s*z**2 + 3*x*z**3 wrt x? -s*z**2 + 2*s + 3*z**3 Find the third derivative of -3665*j**3 - 3517*j**2 wrt j. -21990 Find the second derivative of 6*h**4 + 6*h**3 - 57*h wrt h. 72*h**2 + 36*h What is the derivative of -t*z**3 - 3*t - 712*z**3 + 38 wrt z? -3*t*z**2 - 2136*z**2 Find the first derivative of -9286*g*s**2 - 8632*s**2 wrt g. -9286*s**2 What is the third derivative of -2*q*x**4 - 2876*q*x**3 + 23*q*x**2 - 7*q + 7*x**2 - x wrt x? -48*q*x - 17256*q Find the third derivative of 22*f**2*i**3*t**3 - 2*f**2*i*t**2 + 2*f**2*t**2 + 4*i**3*t**3 - 3*i**3*t - i**3 wrt t. 132*f**2*i**3 + 24*i**3 Find the second derivative of -832*p**2 - 998*p. -1664 Find the second derivative of 3*c**3*u**3 + c**3*u**2 + c**3*u - 89*c**2*u + 2*c**2 - 10*c*u**2 wrt u. 18*c**3*u + 2*c**3 - 20*c What is the derivative of 192*j**3*k**3 - j**3*k*t + j*k**3 - 907*k**3*t wrt t? -j**3*k - 907*k**3 Differentiate -122*b**4 - b**2*d*k + 2*b*k**2 - 2*d + 233*k**2 - 2*k wrt b. -488*b**3 - 2*b*d*k + 2*k**2 Find the third derivative of 83*v**4*z - v**4 - v**3 - 2*v**2*z - 451*v*z wrt v. 1992*v*z - 24*v - 6 Find the third derivative of 119*h**6*q - h**4*q - 4*h**2*q + 22*h**2 wrt h. 14280*h**3*q - 24*h*q What is the third derivative of 26*p**3*w**3 - 5104*p**3*w**2 + 2*p**2*w**3 - 2*p**2*w**2 + 18*w**3 wrt w? 156*p**3 + 12*p**2 + 108 What is the second derivative of -11*m**3*q**4 + m**3*q + m*q - 30*q**5 - 57*q + 8 wrt q? -132*m**3*q**2 - 600*q**3 Find the second derivative of -60*r**2*v**4 + 2*r**2*v**3 + 77*r**2*v + v**2 wrt v. -720*r**2*v**2 + 12*r**2*v + 2 What is the third derivative of 386*a**2*r**4 - 2*a**2*r**3 + a**2*r**2 + 54*a*r**2 wrt r? 9264*a**2*r - 12*a**2 What is the derivative of 428*f*r**3 + 2*f + 390*r**3 wrt f? 428*r**3 + 2 Find the second derivative of 186*h**4 - 5*h**3 + 3*h**2 - 4*h + 51 wrt h. 2232*h**2 - 30*h + 6 What is the third derivative of 31*f**3*h**3*l**3 - f**3*h**3 - 5*f**2*h**3*l**3 + 6*f**2*h**2*l**2 + 69*h**3 wrt l? 186*f**3*h**3 - 30*f**2*h**3 Find the third derivative of -80*j**2*u**3*x + 2*j**2*x - 2*j*u**3 + 2*j*u**2*x**3 - j*u**2*x**2 - 15*j*u*x**3 + 2*u**3*x**3 wrt u. -480*j**2*x - 12*j + 12*x**3 Find the third derivative of -12873*z**5 - 50*z**2 + 9*z - 2 wrt z. -772380*z**2 What is the second derivative of 1177*r**2 - 61*r - 4? 2354 Find the second derivative of d**2*s + 54*d**2 + 3*d + 3*s + 15 wrt d. 2*s + 108 Find the third derivative of 2*a**3*t**2 - 2*a**3*t + 14*a**3 + 75*a**2*t**2 - 4*a**2 - 2*a*t**2 + 7*t**2 wrt a. 12*t**2 - 12*t + 84 Find the third derivative of 258*d**3*u + 2*d**2*u - d**2 - 2*u wrt d. 1548*u What is the third derivative of -7*c**3*p*z + 49*c**3*p + 2*c**2*p*z - 5*c*p - 8*p - 2*z wrt c? -42*p*z + 294*p Find the second derivative of -23*z**4 + 5*z**3 + 371*z wrt z. -276*z**2 + 30*z Differentiate -8*o**2 - 9*o + 149. -16*o - 9 Differentiate 2*b**2 + 831 wrt b. 4*b Find the third derivative of 98*c*g**3 + 4*c*g**2 - 10*c*g - g**6 wrt g. 588*c - 120*g**3 What is the third derivative of 2*f**5 - 794*f**3 + 4*f**2 - 168 wrt f? 120*f**2 - 4764 Find the third derivative of -46*i**3*p**4 - i**3*p**2 + 43*i**3*p + 2*i*p**4 wrt p. -1104*i**3*p + 48*i*p What is the second derivative of 12493*b**3 + 23*b - 273? 74958*b What is the second derivative of -457*p**3 - 2142*p? -2742*p What is the derivative of 80*c**2 + 213? 160*c What is the derivative of -2*c*k*t**2 + 5*c*k - 28*c*t - c + 41*k - 22*t**2 wrt c? -2*k*t**2 + 5*k - 28*t - 1 What is the second derivative of 23*d**3 + d**2*k**2 + 2*d*k**2 - 306*k wrt d? 138*d + 2*k**2 Differentiate -2400*f - 350 with respect to f. -2400 Find the second derivative of 167*a*c**2 + 139*a*c wrt c. 334*a Find the second derivative of g*i**2 - 186*g*i + g - 112*i**3 - 4 wrt i. 2*g - 672*i Differentiate 361*w - 598. 361 Find the second derivative of -3587*i**4 + 122*i. -43044*i**2 Find the second derivative of w*x**2 + 2*w*x - 4*x**4 + 17*x - 2 wrt x. 2*w - 48*x**2 Find the first derivative of h*m*p - 2*h*p**3 + 16*h*p**2 + 35*m*p**3 + 3*p**3 wrt m. h*p + 35*p**3 What is the third derivative of -5872*k**4*m**3 - 2*k**2*m**3 - k**2*m**2 + 6*k + 5*m**2 wrt k? -140928*k*m**3 Find the second derivative of -4*k**3 - 12*k**2 - 308*k wrt k. -24*k - 24 What is the first derivative of 10*g**2*y - 10*g**2 + 3*g*y - 9*g - 78*y - 1 wrt y? 10*g**2 + 3*g - 78 Find the third derivative of -b**2*j*l**3 - b**2*j + 194*b*j*l**2 + 14*b*l**3 - 4*j*l**3 wrt l. -6*b**2*j + 84*b - 24*j Find the second derivative of -413*y**4 + 5*y**2 - 8163*y. -4956*y**2 + 10 What is the third derivative of -1070*p**3*v - 2*p**2*v + 15*p**2 wrt p? -6420*v Differentiate -6*n*y**3 + 15*n*y**2 - 30*n - 2*y**3 - 10828 with respect to n. -6*y**3 + 15*y**2 - 30 Find the second derivative of -5*i**2*m**3 + 2*i**2*m*y**2 - 3*i**2*y**2 - 5*i*m**3*y - 2*m**3*y**2 - 2*y**2 wrt i. -10*m**3 + 4*m*y**2 - 6*y**2 What is the second derivative of -2630*j**2 + 3118*j wrt j? -5260 Find the third derivative of -313*g**5 - 322*g**2 wrt g. -18780*g**2 What is the second derivative of -193*f**2*i**2 - f**2*i*l + f**2*l**2 - 11*f*i**2*l**2 - f*l + 2*f + i**2*l wrt f? -386*i**2 - 2*i*l + 2*l**2 What is the third derivative of 4*l**6 - 5*l**3 - 139*l**2 wrt l? 480*l**3 - 30 What is the second derivative of 282*h**5 + 3*h - 17 wrt h? 5640*h**3 Find the second derivative of -1184*f**3 + 1876*f. -7104*f Find the third derivative of 64*h**5 + 4*h**4 + 898*h**2 wrt h. 3840*h**2 + 96*h What is the first derivative of 2*m**3*q + 3*m**2*q**2 - 5*m*q**2 - 740*q**2 wrt m? 6*m**2*q + 6*m*q**2 - 5*q**2 What is the third derivative of -1750*x**6 + 996*x**2? -210000*x**3 Find the first derivative of -34*g**3 + 80. -102*g**2 Find the second derivative of 33*t**3*u**2*v**2 + 251*t**3*u**2*v - 21*t**3*v**2 + t**2*u**2*v + 2*u*v wrt v. 66*t**3*u**2 - 42*t**3 Find the third derivative of -13*g**2*s**4 + 2*g**2*s**3 - 9*g**2*s**2 + 4*g**2*s - s**4 + 2 wrt s. -312*g**2*s + 12*g**2 - 24*s What is the second derivative of -417*v**5 - 2*v + 167 wrt v? -8340*v**3 Differentiate v**2*y + 3*v**2 - 103*v + 81*y with respect to y. v**2 + 81 Find the second derivative of 21*a**4*r**2 + 6*a**2*b*r**2 + 2*a*b*r**2 - 71*a - 2*r**2 wrt a. 252*a**2*r**2 + 12*b*r**2 What is the second derivative of -10*l*v**2*w**2 - 2*l*v**2*w + 2*l*v*w**2 + 568*l*w - 30*v**2*w**2 wrt w? -20*l*v**2 + 4*l*v - 60*v**2 What is the derivativ
{ "pile_set_name": "DM Mathematics" }
c be h(-37). Which is smaller: 213 or c? 213 Let b = -73376/17 + 4318. Is b less than or equal to 3? True Suppose 60*f = -38*f - 98. Let p = -492/5 + 98. Which is smaller: f or p? f Let h = 157075112587/122529004 - -30/2356327. Let i = -1282 + h. Let s = i + -395/364. Is s bigger than -1? False Let o = 5.788 - 5.7. Let h = -0.142 - o. Which is smaller: -1/5 or h? h Let b(l) = -2*l**3 - 2*l**2 - 4*l - 15. Let n be b(-2). Which is smaller: n or 15/101? 15/101 Let x be (30/125)/((-6)/(-15)). Let i = x + -289/465. Which is greater: 1 or i? 1 Let t be (-27)/(-3) + (6 - 88). Which is greater: 0.2 or t? 0.2 Let r be 12 + -6 + (-4 - -2). Suppose 4*y - r = 4*f, 0*f = -4*f + 4. Is -2 bigger than y? False Let t = -61 - -57. Suppose y = 4 - 2. Suppose 4*l = 16, -y*j + 4*l = -5*j + 7. Which is greater: t or j? j Suppose -2*o = 3*o, 4 = 2*g - o. Let m be 5*(-14)/(-105)*138/32. Which is bigger: g or m? m Let f = 2/9329 + 457113/37316. Which is bigger: 0.3 or f? f Suppose 5*q - 15 = 0, 5*q + 0*q = z - 16. Is 9 <= z? True Suppose 32*n - 23*n = 81. Are 88/9 and n unequal? True Let g be 18/45 - (-788)/30. Let y(u) = -7*u**2 - u - 1. Let d be y(-2). Let m = d + g. Which is greater: 0 or m? 0 Suppose -10 = -3*o - 2*m - 38, -m - 42 = 5*o. Let n(p) = p**3 + 7*p**2 + 15*p + 3. Let y be n(-2). Are o and y equal? False Suppose 2*s = 814 - 46. Are s and 384 nonequal? False Let c(j) = -5*j - 5*j**2 + j + 103*j**3 + 0*j**2 + 1 - 106*j**3. Let z be c(-2). Is z at least 16? False Let x = -1.859 + -0.141. Are -1 and x nonequal? True Let f = 1.2 - 0.2. Let k = 1061 - 1055.01. Let l = k - -0.01. Which is smaller: l or f? f Let v(c) = c**2 + 12*c - 9. Let x be v(9). Which is greater: 179 or x? x Suppose 2*w = -5*x - 38 + 11, 4*w - 4*x = -124. Let p = -23 - w. Which is smaller: 4 or p? p Suppose -4*p + 6 = 2*m - 8, 12 = 5*p - 3*m. Suppose 3*v = -v - p*v. Which is smaller: v or -45? -45 Suppose -2*q = 3*b - 122, -3*b + 2*b - 194 = -3*q. Let w = -88 + q. Is w bigger than -22? False Let n be (57/9)/(1/6). Let m = 52 - 15. Is m bigger than n? False Suppose 0 = y + 24 + 26. Let g be y*(-1)/22 + -2. Let b = 44 - 43. Is b < g? False Suppose 3*s = 12, 3*s - 722 = -4*m + 9*m. Do m and -140 have the same value? False Let o = -336 + 225. Is o less than -0.1? True Let k = -99203825 - -1437165811963/14487. Let r = -2/439 + k. Are r and 1 unequal? True Let q be -4*18/12 - -6. Let j be (-38)/744 - 2/(-6). Let w = j - 1/31. Is w >= q? True Let y = 186 + -185. Do 2/23 and y have the same value? False Suppose x = -2*y + 3, -3*y + 6 = 5*x - 2*y. Let u = 78 - 104. Let t be 4/u - 15*28/(-3744). Are x and t equal? False Let f = 28.063 - 28. Which is smaller: f or -1/2? -1/2 Suppose v + 0*u = 2*u - 12, -u + 1 = 2*v. Let k be -11 + v - (-76)/(-19). Is k <= -17? True Suppose -4*m + 3*a = -147 - 7, a - 82 = -2*m. Let i be 4998/m + 6/24. Let q = 124 - i. Which is bigger: q or -1? -1 Let g = -87 - -95. Is 44/5 equal to g? False Suppose -17 + 30 = -13*i. Let s = -0.1 - 0. Is s >= i? True Let i be 2/(-24)*(9 + 0). Suppose 3*p = 5*k + 12, k - 3*p = -2*k - 12. Suppose 5*j - b = -0*b - 1, k = 2*j + 2*b + 10. Which is greater: i or j? i Let q be 24/(-60) - (-1070)/(-200). Which is smaller: q or 0.2? q Let p(k) be the second derivative of 11*k**3/6 - 11*k**2/2 - 26*k. Let j be p(-4). Is -55 not equal to j? False Suppose 11 = 2*f + 9. Let x be 11/22 - f/2. Is -2/49 greater than x? False Suppose -4*n + 4*s - 34 = -2, 0 = -3*n - 4*s + 11. Let g be 3 - 164/18*(-30)/(-40). Which is smaller: n or g? g Let q be (-7 + -1)*(-4)/(-8). Let i be -4 + (q - -8)/4. Let c be (2/(-4))/(i/126). Is c at most as big as -2/7? False Let l = 80 - 151. Let x = -73 - l. Is x at most as big as -5/8? True Let f be (8 + -5)/(2 - (-10)/(-6)). Suppose -f = -2*k - 7. Which is smaller: -2/101 or k? -2/101 Suppose 0 = -2*b - 4*m - 38, -4*m - 11 = -5*b + 6*b. Which is smaller: b or -30? -30 Let s = -1617 + 954. Which is smaller: -1 or s? s Let d = -6398 - -6394.967. Let b = -0.033 - d. Which is smaller: b or -9? -9 Let d be ((-6)/3)/((-119)/962). Let l = -114/7 + d. Let g = -2 + 2. Is l not equal to g? True Suppose 0 = 5*r - 4*c - 511, 0 = -3*r - 4*c + 212 + 69. Which is smaller: r or 101? r Suppose 19 = -y + 20. Let m be -1 - (6/(-9) - y). Which is greater: -3.6 or m? m Let x(j) = j**2 + 10*j - 24. Suppose 4*w - 80 = 5*f, -83 = 4*f - 4*w - 15. Let o be x(f). Which is smaller: o or -0.03? -0.03 Suppose -4*f + 24 = -3*f - 4*b, 2*b + 138 = 4*f. Let x = f + -37. Is -8/5 bigger than x? False Let g = -4.1 - 0.9. Let x = -57 + 58. Is x greater than or equal to g? True Let l(k) be the second derivative of -k**4/6 - 2*k**3 + k**2 - 4*k. Let h be l(-7). Let c(t) = t**3 - 10*t**2 - 13*t + 11. Let g be c(11). Is h greater than g? False Let s = 91.4 - 97. Let a = 21.4 - s. Which is smaller: -1/2 or a? -1/2 Let h = -234 + 233. Are h and -3 nonequal? True Let o = -0.1 + -0.3. Let p = o - -0.7. Let w = 170 - 173. Is p at most as big as w? False Let s = -173 + 182. Suppose 3*l - 5*l = -18. Is l at most as big as s? True Let w = 13 + -9. Let c(j) = j**3 - 3*j**2 - 5*j + 5. Let o be c(w). Which is bigger: 1/55 or o? o Suppose -2*h - 8 + 36 = 5*m, -2*m = h - 11. Let s = 11 + -7. Is s less than or equal to m? True Let p = 19 + -19.4. Let b = 57.6 + -63. Let v = b - p. Which is smaller: -1 or v? v Let x = 12294/1421 - 258/29. Is x greater than or equal to 1? False Let i = -10 + 27. Let z = i + -18. Let r be (-65)/104*(-6)/(-4) + 1. Is z greater than or equal to r? False Let v(u) = 7*u + 4. Let j be v(3). Let h(m) = -m**3 + 4*m**2 - 5*m - 1. Let w be h(4). Let c = j + w. Is 4 > c? False Let i(q) = q**2 + 9*q + 12. Let d be i(-9). Suppose -j - 23 - d = 0. Let f be j/14 + (-3)/6. Does -3 = f? True Let d = -0.055 + -0.012. Let a = d - 0.033. Is -22 < a? True Suppose -524 = -39*r - 95. Is r != 9? True Let q be 36/(-10)*5/(-3). Suppose f = 5*r + 3, 0 = 3*f - f - 4*r - q. Is 3 >= f? True Let h(f) = -f - 7*f - 2*f + 2*f. Let n be h(-1). Suppose -2*v = -9 - 5. Which is greater: n or v? n Let i = -2412 - -2446. Which is greater: i or 40? 40 Let x = -149/1212 - -4/101. Suppose -26 = -5*v + 4*r, -5*v + 0*r = -5*r - 30. Suppose -4*b = -0*i + v*i - 2, 4*b - 1 = -i. Is x at least as big as b? False Let m = -25/3 + 251/6. Do m and 33 have the same value? False Let u be 2/8 + 1/(-4). Let g be 2/(-3)*13 - u. Let s = 3474 + -3482. Is g at least s? False Let x be 3/(-10)*(9 + (-45376)/5040). Is x smaller than 2/5? True Suppose 0 = -3*m + y - 29, -4*m - y - 38 = 10. Let u = m - -23/2. Let b = -0.27 - 0.03. Which is smaller: u or b? b Suppose 6 = -r + 8. Let n be 12/(-18) - 3*r/(-9). Let m be 416/(-588) - (-4)/6. Which is bigger: n or m? n Suppose 3*p - 51 = -6. Suppose 12*y - 18 = p*y. Which is bigger: y or -4? -4 Suppose 10 = w + 4*w, 5*w = 2*z - 186. Let a = z + -99. Which is greater: -1/30 or a? -1/30 Suppose 26 = -2*o - 5*n - 49, o + 5*n = -30. Let c = o - -44. Which is smaller: c or -14/9? -14/9 Suppose 0 = -10*b + 108 - 508. Let o(r) = r**3 + 11*r**2 + 3*r - 5. Let a be o(-11). Which is bigger: a or b? a Let p = 43.8 + 7.2. Let s = 51 - p. Which is smaller: -0.15 or s? -0.15 Let m = 217 - 360. Which is bigger: -145 or m? m Suppose 0 = -2*z + k - 70, 5*z + 134 = -k - 34. Is -8 >= z? True Suppose 5*v + 2*i = 3 + 14, -v + 13 = -2*i. Let z = 32 - -5. Let t = -33 + z. Which is smaller: v or t? t Let x = -5467 + 16553/3. Which is greater: x or 52? 52 Suppose -2*o + 4 = -o. Suppose 7*d - o = 4*d + i, -2*i = 5*d - 25. Suppose f + 0*f - 37 = 5*a, d*a = -f - 19. Is a at most as big as -7? True Let o = -609/13 + 146756/3133. Which is bigger: -1 or o? o Suppose -i = -q + 3*q + 24, 0 = 5*i - 4*q + 120. Let a be 3/(-18) + (-31)/i. Let l = 187/152 - a. Does l = 1? False Let r be (-5 + 88/20)/((-6)/(-4)). Which is bigger: 124 or r? 124 Suppose -4*k - 2*v = -20, 0 = 4*k - 2*k - 4*v. Let f be ((-50)/(-12))/(-5 + k). Which is smaller: -4 or f? f Let u = 752/11 + 2305/44. Let l = 120 - u. Let g = l + 7/20. Do 1/12 and g have the same value? False Let z be 9/(-3)*(-3)/(15/(-1)). Which is greater: z or -1? z Let w = 199 - 198. Is 97 != w? True Suppose 5*m - 29 = -24*m. Do -2.52 and m have the same value? False Let v = 130 + -140. Which is smaller: v or 2? v Let b be (72/(-30))/((-4)/(-30)). Which i
{ "pile_set_name": "DM Mathematics" }
= 5*n - 39. Is b > y? False Let i = 7 - 8. Let j = 9 + -9.2. Which is smaller: j or i? i Let h be -1 + -1 + (-1)/(-1). Suppose 2*u - 5*u - 99 = 0. Let p = 100/3 + u. Which is smaller: h or p? h Suppose 4*m = 12 + 16. Suppose 3*y + 5*h = 12, 2*y - 3*h + m = -4. Let k be (-110)/18 + 30/5. Which is greater: y or k? k Let y be -1*(1 + 0 - -1). Which is bigger: -4/5 or y? -4/5 Let d(l) = 2*l**2 + 11*l - 4. Let n be d(-8). Is n not equal to 69/2? True Let d = 16 - 98. Is -83 at most d? True Let u(f) = f**2 - 9*f + 7. Let d be u(8). Let y = 5 + d. Is y at least 4? True Let n = -0.4 - -0.8. Let z = -2.9 + 1.6. Let d = z - -0.3. Is n <= d? False Let q = 5.93 - 0.93. Is q greater than or equal to -1? True Let y(r) = 5*r - 6. Let p be y(5). Let v = 37/2 - p. Which is greater: -2 or v? v Let y(g) = -g**2 + g + 5. Let n be y(4). Let t be (-3 - (-14)/6)*3. Let i be (-484)/77 + t/(-7). Which is smaller: i or n? n Let j = 14 - 13. Is 2/305 > j? False Let p be (-2)/7 + 64/28. Let y = -15 + 76/5. Is y less than or equal to p? True Let d = 2.51 + -0.51. Which is smaller: d or -3/4? -3/4 Suppose -4*c - 3*f = -57, 0 = c - 2*c - f + 14. Is 96/7 <= c? True Suppose 14*b - 1 = 15*b. Which is greater: b or -3? b Let y(i) = -i**3 + 5*i**2 + 7*i - 2. Let f be y(6). Let d be -1 + f/(-6) + 2. Let g = -0.5 - -0.3. Is d less than g? False Suppose -i - 3*v = 16, 2*v + 1 = -3. Let p = 21 + -31. Is p greater than i? False Let c(f) = -f. Let z be c(-1). Let k be (6 + -6)*(-2 + z). Which is greater: k or -1? k Let v(r) = -r - 13. Let g be v(-12). Suppose 0 = 5*s - 5*p, 3*s - 5*p + 3 = 5. Is g > s? False Let m(d) = -d**3 - 8*d**2 - 5*d + 9. Suppose 4*b + 3 = 3*b - 2*q, 2*q = 4*b + 32. Let t be m(b). Let f = -5 - t. Which is smaller: f or -1/11? -1/11 Let t be 1/((-237)/117 + 2). Which is smaller: -38 or t? t Let d = 0 - 0. Let p(a) = -21*a**2 - 2*a + 1. Let l be p(1). Let q be 8/l*8/(-16). Which is bigger: d or q? q Let h be 3/9 - 5/(-3). Suppose -4*r + h*x - 3*x = 14, 0 = -r - 2*x - 7. Let i = r - 1. Which is bigger: i or 0.1? 0.1 Let x(v) = v + 2. Let s be x(2). Suppose -y = -s + 5. Let b be 1 - (-3)/9 - 1. Which is smaller: y or b? y Let t = 2352 + -489247/208. Let m = 1/208 - t. Let q = -2 - -3. Which is smaller: m or q? m Let l = -59/66 - -5/22. Suppose 2*f = f + 5. Which is smaller: f or l? l Let g be (-15)/30 - 35/(-2). Which is smaller: g or 0? 0 Let r = 0.064 + -27.064. Let h = r - -28.05. Let y = -0.05 + h. Which is smaller: y or -1? -1 Let x = -93/4 - -23. Let l be (10/4)/((-3)/(-6)). Let w(o) = o**3 - 6*o**2 + 6*o - 6. Let t be w(l). Is x smaller than t? False Let y be (2/(-8))/(90/144). Is y < -1.8? False Let s = 4 + -3.99. Let b = s + 6.59. Let f = b - -0.4. Which is smaller: f or -1? -1 Let f be 1/2 + (-25)/20. Is f not equal to -1? True Let b = -1 - -9. Let w = b + -5. Let u be -1 + 0 + 2 + 2. Is u smaller than w? False Let p(u) = -14*u + 1. Let j be p(4). Let f be (-1)/((j/2)/(-5)). Do 1 and f have different values? True Let i(p) = 2*p - 25. Let c be i(14). Does c = 6? False Let h = 2 - 1.9. Let y be (-5 - -6)*(-2)/4. Which is greater: h or y? h Let o be 2/(-7) - 3/(-21)*-5. Which is greater: -5/17 or o? -5/17 Let h be (-8)/(-70)*(-20)/88. Is 0 at least as big as h? True Suppose -3*f + 23 = 2*b, b + 2*f - 3 - 10 = 0. Suppose 0 = 5*r - b + 17. Let x(t) = t - 4. Let j be x(3). Is r not equal to j? True Suppose -2*w - 10 = 0, -4*w = 4*p + p + 70. Let k = -4 - p. Let d be ((-3)/(-4))/(k/20). Do d and 4 have the same value? False Let n = -6 - -6.1. Let x = -3 + 3.1. Let s = 1.9 + x. Are n and s unequal? True Let n be ((-5)/15)/(4/(48/(-19))). Which is bigger: 0 or n? n Let c = -3.02 + 0.02. Let k = -0.93 + -0.07. Is c equal to k? False Let m = 8 - 5. Suppose -m*d + 3 = -0*d. Let b be -1 - (-32)/18 - d. Which is smaller: 1 or b? b Let y(j) = j**3 + 5*j**2 + j + 6. Let c be y(-5). Which is greater: -1/7 or c? c Suppose -4*l - 10 - 2 = -a, -3*l - 10 = -a. Suppose -f + a = -2*y, -19 = f + f + 5*y. Which is greater: -4 or f? f Let x(l) be the third derivative of l**4/8 - l**3/3 - l**2. Let h be x(2). Suppose -h*u = -u - 6. Is 2 less than or equal to u? True Let w = -0.1 - -0.1. Let y(x) = x**3 + x + 1. Let c(m) = -6*m**3 + 5*m**2 + 4*m - 22. Let t(l) = -c(l) - 5*y(l). Let s be t(6). Is s at least as big as w? False Let x = 10 - 6. Suppose x*l = -l. Which is bigger: -2/13 or l? l Let z(j) = -j**3 + 8*j**2 - 7*j - 2. Let p be z(6). Suppose -4*f - 4*r = -p, 0*r = -3*r + 12. Suppose 0 = 2*h - f*h. Which is greater: 1 or h? 1 Let c(k) = -k**3 + 4*k**2 - k. Let b be c(3). Let o be (b/(-8))/(1/(-4)). Suppose -11 = -u + 3*z, 2*u = 7*u - 5*z - 25. Is o less than u? False Suppose -2*l = -h + 3*l - 16, 0 = 5*h - 4*l + 17. Which is bigger: 2/103 or h? 2/103 Let w be (12/40)/(24/(-20)). Is 23 < w? False Suppose -4*n - 4*t + 2 = -2*n, 2*n - 4*t + 38 = 0. Let a be (-98)/12 - (-3)/18. Are n and a equal? False Suppose 4*m + r + 66 = 0, 5*r - 38 = 4*m - m. Let z = m - -15. Is z smaller than -2? False Suppose d - 2*u = 2*d + 75, 2*d + 5*u = -149. Are d and -78 nonequal? True Let b be 3/9 + ((-780)/441)/5. Are b and 1 unequal? True Let f be 0 + 6 - (-4 + 4). Is 5 >= f? False Let t = 28/29 - 1453/754. Let v = t - -6/13. Which is bigger: v or -1? v Suppose -n = 5*l - 22, -5*l + 4*n = -4*l + 4. Let t = l - -2. Suppose 2*a + 4*q + t = 0, -3*q = 4*a + q. Is 3 smaller than a? False Suppose 12 = -4*n + 3*b + 29, 0 = 4*b - 4. Is n at most 6? True Let p be 1/2 + (-2)/4. Let i be (-25)/2 + (-4)/(-8). Let v be 3/i + -1 + 1. Does p = v? False Suppose -r - 4*q = -7 + 2, 2*r + 12 = 3*q. Let k be (r - -2) + (-2)/(-4). Is k <= 0? True Let y(z) = z**3 + 7*z**2 + 6*z + 3. Let s be y(-7). Let x be (4 + -1)*2/s. Which is bigger: x or -1? x Let u be (-17)/36 - (-2)/9. Is u <= 15? True Let q be (1/(-2))/((-11)/4). Is 1 at least q? True Let a = 14 + 20. Is a less than 34? False Let r = -17979 + 1348397/75. Let d be 58/(-200) + 4/16. Let w = d - r. Which is greater: 6 or w? 6 Let d(g) = -2*g - 4. Let h be d(-7). Suppose 0 = -k - 3*v - 5, k + 2*v = -3*v - 7. Let t be k/h + 48/15. Which is bigger: 2 or t? t Let g(f) = -f**2 + 7*f + 10. Let n be g(8). Let u be (-5)/10*4/n. Let w = -27 + 192/7. Is w at most u? False Let r = -702/7 - -100. Suppose -4*f - 6 = 2*t, -t - 3 = 4*f - 0. Let h(i) = -i**3 - 4*i**2 - 2*i + 3. Let n be h(t). Is r not equal to n? True Let c = 55/24 - 6937/3048. Is -1 equal to c? False Let w = 0 + -7. Let s(n) = -n**2 - 3*n + 4. Let i be s(2). Do w and i have the same value? False Let f be (-2)/7*(-9)/(-6). Let o be (-15)/45 - (-2)/6. Is f bigger than o? False Let j be (10 + -1 + -3)*-2. Let n = j + 13. Is 2/3 <= n? True Let y = -122 - -123. Which is smaller: 6/7 or y? 6/7 Let y be 3 + 389/(-55) + (3 - -1). Is -1 smaller than y? True Let w = 179 - 6979/39. Is 1 not equal to w? True Let v = 1 + -3. Which is smaller: 1/3 or v? v Let x(v) = 9*v + 1. Let k be x(1). Let f be (15/k)/(2/4). Suppose -2*p - 10 = f*p. Is -1/2 not equal to p? True Let d be (-72)/15 - (-1)/(-5). Let t be (3 - 1)/(0 - 2). Let k be (12/2)/(t/1). Is d bigger than k? True Let j = 15/11 + -323/253. Which is smaller: j or 0? 0 Suppose 4*p = -16, -20 = 4*k + 4*p - 8. Let x be 2 - k - (-20)/(-4). Is x bigger than -4? False Suppose -5*o = -7 - 13. Let d be (1/(-3))/(o/(-84)). Which is smaller: d or 6? 6 Let n = -11 - -29. Suppose 72 = -4*c + 8*c. Let v be (-4)/c + (-23)/n. Which is smaller: -2 or v? -2 Let u be ((-6)/(-15))/((-8)/(-50)). Let i(p) = -p**2 + 2*p + 27. Let x be i(6). Which is bigger: x or u? x Suppose 0 = -3*d + 7*d - 76. Let t(a) = -7*a - 2. Let p be t(-3). Does d = p? True Let n be 3/3 - 22/26. Let b = -2.66 + 3.66. Is n smaller than b? True Let o(r) = r**2 + 11*r + 3. Let h be o(-11). Is 5/2 at least h? False Let j = -0.8 - -0.7. Which is smaller: j or 19? j Let d = 179237/38017 + -2/5431. Is 4 not equal to d? True Suppose 3 = 3*p - 3. Let i be ((-12)/(-4))/((-6)/(-4)). Let f = i + p. Which is smaller: f or 2? 2 Let b be ((0/((-20)/(-4)))/1)/(-3). Which is smaller: -20/17 or b? -20/17 Let t(u) = -2*u - 2. Let n be t(-2). Suppose -2*j = n*j + 4. Which is smaller: -2 or j? -2 Let c be (-7)/(-5) - 2/5. Let v be c/(-1*6/(-2)). Is 2 at least as big as v? True Let q = -0.03 + -0.77. Which is smaller: q or 2/5? q Let f =
{ "pile_set_name": "DM Mathematics" }
form v*j**4 + g*j**3 + q*j**2 + h*j + s and give v. -70 Express 18*c**3 - 6*c**2 - 12*c**3 + 0*c**3 in the form f*c**2 + l*c + o + d*c**3 and give d. 6 Express -l - 3*l**4 + 2*l**4 + 3 - 2 as f*l + j*l**4 + g*l**3 + r*l**2 + y and give j. -1 Rearrange -3*i**4 - 3*i**4 + 4*i**4 + (0 + 0 + 4*i)*(i - 3*i**3 - i) + 5*i**4 - i**4 - 3*i**4 to t*i + o*i**3 + c*i**2 + u + v*i**4 and give v. -13 Rearrange (-7 - 50*r + 7)*(-2*r**2 + 0*r**2 + 5*r**2) to q + b*r**3 + i*r**2 + m*r and give b. -150 Express 14*b - 20*b - 25*b - 6*b as v + h*b and give h. -37 Rearrange 2*f - 3*f**3 - 3*f - 2*f**3 + 4*f**3 - 11 to the form q*f**2 + x*f**3 + a + w*f and give w. -1 Rearrange -9*x**4 + 28*x**4 + 7*x**4 + (-x**3 + 0*x**3 - x**3)*(-1 + 1 + 6*x) to the form d*x + c*x**2 + z + t*x**3 + o*x**4 and give c. 0 Express (1 - 2*g - 1)*(-g**2 + 0*g**2 - 2*g**2) + 59*g + 17*g**3 - 59*g - g**3 - 2*g**3 + 4*g**3 as x*g**2 + j*g**3 + q*g + u and give x. 0 Rearrange 0*l - 8*l + l + l to the form z*l + a and give z. -6 Rearrange (0*x + 2*x - 3*x)*(-2 - 3 + 1)*(-4*x**3 + 4*x**3 - 2*x**3) to o*x**3 + j*x + m*x**4 + d + h*x**2 and give m. -8 Rearrange -103*y**3 - y**4 - 2*y**4 + 2 + 100*y**3 - 3*y**2 to q*y**2 + c + s*y**4 + u*y + g*y**3 and give q. -3 Express 30*b**2 - 23*b**2 - 19*b**2 in the form a*b**2 + p*b + k and give a. -12 Rearrange (3 - 3 + 6*u)*(-1 + 3*u + 0 - 4 + (-4 + 0 + 6)*(-3*u + 2*u + 2*u) + 3 - 3 + 2*u) to z + i*u + c*u**2 and give c. 42 Express j**4 + j**4 + 0*j**4 + (15138*j + 18*j**3 - 15138*j + 4*j**2)*(2*j - 3*j + 0*j) as i*j**2 + u*j**3 + a*j**4 + m*j + k and give a. -16 Express (3*b**2 + 0*b**2 - 2*b**2)*(-2 + 4*b + 2)*(1 - 3 - 3) in the form a*b**2 + n + v*b + q*b**3 and give q. -20 Express ((-2 + 0 + 0)*(-2*h - 2*h + 5*h) - 313*h - 324*h + 544*h)*(-2*h + 2 - 2) in the form k*h + c*h**2 + j and give c. 190 Express -4*b**4 + 2*b**4 + 0*b**4 + 3*b**4 - 3*b**4 - 3*b**4 + (-4*b**3 + 3*b**3 - b**3)*(3 + 3*b - 3) as j*b**4 + p*b**2 + q*b**3 + s + i*b and give j. -11 Express 2*h - 186*h**3 + 188*h**3 + 4*h**2 - 6*h + 0*h**2 in the form t*h**3 + r*h**2 + d*h + x and give t. 2 Express 4 - 8 + 2*l**2 - 2 in the form n*l + v + a*l**2 and give a. 2 Rearrange 3*w**3 - 5*w**4 - 149 + 150 + 3*w**4 + w**4 - 2*w + w**2 to the form m*w**3 + z*w + g + t*w**2 + s*w**4 and give m. 3 Rearrange 20*m + 21*m - 12*m**2 - 42*m to f*m + q*m**2 + y and give q. -12 Rearrange -2*j**4 - 5*j**3 - 2 + 8*j**3 - 2*j**3 to b + h*j**2 + w*j**4 + z*j + a*j**3 and give a. 1 Rearrange (-7*w + 0*w - 3*w)*(2*w + 2*w - w)*(-2 + 3 + 0) to the form n*w + i*w**2 + y and give i. -30 Express 10 - 10 - 33*u in the form z + v*u and give v. -33 Express -3*z**3 - 5*z**2 + 5*z**2 + (6 - 6 + 6*z)*(3*z**2 + 3*z**2 - 4*z**2) + 3*z**3 - 2*z**2 + 2*z**2 as q*z**3 + v*z + g*z**2 + s and give q. 12 Rearrange -213*r**2 + 3 - 3 + 53*r**2 to i*r**2 + f + s*r and give i. -160 Rearrange 3*o**2 + 3 + 3*o**3 + 5*o**2 - 8*o**2 to the form m*o**2 + u + j*o**3 + f*o and give u. 3 Express t**2 + 2*t**2 + 3*t**2 in the form w*t**2 + l + c*t and give w. 6 Rearrange 2*s**2 - 3*s + 16*s**3 - 17*s**3 + 2*s**4 + 6*s to the form c + a*s**4 + r*s + m*s**3 + z*s**2 and give a. 2 Rearrange -266*d + 134*d + 1 + 140*d to the form b*d + w and give b. 8 Express -42 + 13*y + 21 + 21 as h + p*y and give p. 13 Express 0*f**2 - 3*f**2 - 7*f**2 + 2*f**2 as v*f + w + m*f**2 and give m. -8 Rearrange 27*k**2 - 3 - 23*k**2 + 2*k**3 + 0*k + 2*k to the form u*k**2 + m*k + b*k**3 + x and give m. 2 Rearrange -23*r**3 + 3*r**2 + 0*r**2 + 22*r**3 + 2 - r**2 to d*r + o + k*r**2 + n*r**3 and give o. 2 Express 45*v**2 + 6*v**2 - 11*v**2 as o*v + z*v**2 + i and give z. 40 Express (4 - 2*y - 4)*(11*y + 2*y + 6*y - 5) as x + p*y + z*y**2 and give p. 10 Rearrange 21*i - 40*i - 40*i + 2*i to the form m*i + g and give m. -57 Express (-2 + 5 - 1)*(6*o - o - 3*o)*(-1 + 1 - 3) in the form v + z*o and give z. -12 Rearrange -4*o**3 - o - 14*o**4 - 11*o**3 + 17*o**3 + 0*o + 2 to the form z*o + q*o**3 + d*o**2 + t + i*o**4 and give t. 2 Express (2*k + k - k)*(-60*k - 86*k + 94*k)*(1 - 5 + 1) as f + q*k**2 + r*k and give q. 312 Rearrange z - z + 2*z**2 + (-1 - z + 1)*(z + 4*z - 4*z) to x*z + p + s*z**2 and give s. 1 Rearrange -9*f**4 - 181*f + 181*f + (4 - f - 4)*(0*f**3 + 6*f**3 - f**3) - 3*f**4 + 3*f**4 + f**4 to the form x*f**2 + u + m*f**3 + h*f + c*f**4 and give c. -13 Rearrange (-2 + z + 2)*(-36*z - 102*z**2 + 36*z) to u*z**3 + p*z + l + y*z**2 and give u. -102 Express 0 - 4 - 4 + 0*y**2 + y**2 as q*y**2 + k + p*y and give k. -8 Rearrange -8 + 17*k + 8 to the form b + a*k and give a. 17 Rearrange 4*u - 4*u + 4*u**4 + (5*u**2 - 4*u**2 - 2*u**2)*(-7*u**2 + 3*u**2 + 2*u**2) + 3 + 2*u**4 - 3 to y*u**2 + f*u**4 + s*u**3 + n + v*u and give f. 8 Express 2*x - 36*x**4 + 5*x**2 + 15*x**4 + 23*x**4 - 2 + 2*x**3 in the form l + n*x**4 + w*x**3 + v*x + g*x**2 and give v. 2 Rearrange -p**2 + 3*p**2 + p**3 - 2*p**4 + 0*p**4 to the form w*p**3 + j*p**2 + t + g*p**4 + q*p and give j. 2 Rearrange (z**4 + 3*z - 3*z)*(4 - 8 - 18) to i + h*z**4 + q*z**3 + l*z**2 + k*z and give h. -22 Express (3 - 6 + 1)*(0*f + f + 0*f)*(-1 - 2 + 5) in the form w*f + j and give j. 0 Express (-268 + 13*z**3 + 268)*(2*z + z - z) as u + b*z**4 + o*z**2 + y*z + w*z**3 and give w. 0 Express 78*z**2 + 8*z**3 - 76*z**2 + 13*z**3 - 8*z**3 in the form c*z**3 + h + u*z**2 + v*z and give c. 13 Rearrange (3*y + 0*y - y)*(-1 + 2 + 0)*(-5*y + y + 5*y + (3 - 2 - 3)*(0*y + 0*y - 2*y) + y + 0*y + y) to t*y**2 + c + m*y and give c. 0 Express -5 + m - 1 + 20 as y + p*m and give p. 1 Express -17*o**2 - 15*o**2 + 4*o**2 - 4*o**2 in the form x + h*o + y*o**2 and give y. -32 Express 0*w**3 + 1 - 453*w**4 - w**3 + 451*w**4 as l*w + o*w**2 + u*w**3 + d + k*w**4 and give l. 0 Rearrange (-2*l + l + 0*l)*(1 - 1 + 1) + 159 - 159 - 15*l + (-1 + 0 + 2)*(l - 5*l + 2*l) - 3*l + 4*l - 2*l to the form t + b*l and give b. -19 Rearrange (5*x**2 + 2*x**3 - 3*x**3 - 7*x + 9*x)*(-2*x + 0 + 0) to the form u*x + p*x**2 + r*x**4 + b*x**3 + o and give p. -4 Express -6 - 9 + s**2 + 0*s**2 + 3 as i + u*s + v*s**2 and give i. -12 Express -7*c**2 + c + 60*c**2 - c as u*c**2 + s + m*c and give u. 53 Rearrange 6*t**3 - t**2 - 4*t**3 - 38*t**4 + 67*t**4 - 44*t**4 to y*t**3 + r*t + l*t**2 + w*t**4 + v and give y. 2 Rearrange (-5 + 6 - 3)*(-d - 3*d + 5*d)*(-4 + 4 - d + (-3*d - 3*d - d)*(-1 + 4 - 2)) to m*d + i*d**2 + y and give i. 16 Express -39*j + 40*j - 2 + j**4 + 5*j**2 + j**4 - 2*j**3 in the form l*j**4 + p*j + x + q*j**3 + u*j**2 and give l. 2 Rearrange 17*a**3 - 22*a**3 - 9*a**3 - 1 to l*a**2 + t*a**3 + m*a + k and give t. -14 Express 2*c - 2*c**2 - c**2 + 6*c**3 + 4*c**3 - 9*c**3 as y + u*c + q*c**3 + d*c**2 and give u. 2 Express (-d**2 + 3*d**2 + 5*d**2)*(3*d**2 - d**2 - 3*d**2 + (-6*d + 2*d + 2*d)*(2*d - 4*d + 0*d)) in the form n*d**4 + j + f*d**2 + m*d**3 + t*d and give n. 21 Express (6 - 16*y**2 - 6)*(y - y**2 - y) in the form b*y**3 + w*y**4 + v + k*y + l*y**2 and give w. 16 Rearrange -3*w**3 - w**2 - 3*w**3 + 14*w**3 to the form f*w + g*w**2 + k + h*w**3 and give g. -1 Express (8 + 1 + 3)*(2*g**2 + 14*g - 14*g) as n*g + l + a*g**2 and give a. 24 Express (-4 + 1 + 1)*(-2*m**2 + 108*m**3 - 45*m**3 - 41*m**3) in the form y*m**2 + v*m**3 + t*m + j and give y. 4 Rearrange (-2*v**3 - 3*v**3 + 3*v**3)*(1 - 2 + 0)*(1 + 1 + 9) to u*v**2 + l*v**3 + r*v + j and give l. 22 Express -17*h**2 + 12*h**2 - 5*h**2 as i + v*h**2 + p*h and give p. 0 Rearrange (4 - 4 + r**2)*(2 - 1 + 0)*(-9 + 6*r**2 + 9) to the form n*r**4 + t + y*r + g*r**3 + m*r**2 and give g. 0 Rearrange (-2 - 1 + 2)*(-129 - 6*o - 53*o + 129) to the form k*o + r and give k. 59 Rearrange 15 + 13 - 3511*l**2 + 3508*l**2 to the form n*l + m + j*l**2 and give n. 0 Express 0*j - 3*j + j**3 + 20*j**2 + j - 17*j**2 in the form l + w*j**3 + p*j + a*j**2 and give w. 1 Express 4 - 2*d + 2248*d**4 + 0 - 2251*d**4 in the form s*d**4 + t + i*d**2 + g*d**3 + x*d and give t. 4 Express -3 - 6*r**2 + 2 + 15*r**2 in the form q + b*r + w*r**2 and give b. 0 Express (-7 + 13 + 5)*(0*z + 2*z + z) in the form k + p*z and give p. 33 Express 8*x**2 - 65*x**2 - 21*x**2 in the form b*x**2 + y + j*x and give b. -78 Express -6*c**2 + 6*c**2 + 3*c - 4 - c**2 + (-2*c + 2*c - c**2)*(0 + 1 + 1) in the form g + z*c**2 + v*
{ "pile_set_name": "DM Mathematics" }
10181851 List the prime factors of 440768921. 3037, 145133 What are the prime factors of 98071315? 5, 19614263 What are the prime factors of 203209527? 3, 2729, 24821 List the prime factors of 26465651. 17, 19, 81937 What are the prime factors of 243161662? 2, 121580831 What are the prime factors of 115339982? 2, 3917, 14723 What are the prime factors of 4923112? 2, 615389 List the prime factors of 76705028. 2, 19176257 List the prime factors of 95446272. 2, 3, 19, 31, 211 List the prime factors of 173832040. 2, 5, 4345801 What are the prime factors of 33091781? 409, 80909 List the prime factors of 175596898. 2, 19, 243209 What are the prime factors of 1397906620? 2, 5, 11, 37, 171733 What are the prime factors of 504094788? 2, 3, 137, 179, 571 List the prime factors of 39075298. 2, 23, 281, 3023 List the prime factors of 871192842. 2, 3, 13, 3119, 3581 List the prime factors of 2411316635. 5, 7, 13, 17, 257, 1213 List the prime factors of 949295138. 2, 11, 19, 2271041 List the prime factors of 1622276832. 2, 3, 11, 83, 223 What are the prime factors of 55586560? 2, 5, 43427 What are the prime factors of 3326673? 3, 7, 157, 1009 List the prime factors of 1545455929. 911, 1696439 What are the prime factors of 1916406328? 2, 17, 14091223 What are the prime factors of 82663973? 7, 233, 50683 What are the prime factors of 32641136? 2, 11, 191, 971 What are the prime factors of 570596712? 2, 3, 7, 1489, 2281 List the prime factors of 5183437197. 3, 73, 23668663 What are the prime factors of 1841958599? 13, 1061, 133543 List the prime factors of 1138351633. 6373, 178621 What are the prime factors of 991544258? 2, 495772129 What are the prime factors of 397067992? 2, 49633499 What are the prime factors of 1689449427? 3, 293, 213557 List the prime factors of 63835753. 63835753 What are the prime factors of 79475650? 2, 5, 1589513 What are the prime factors of 5352987661? 7, 179, 313, 13649 What are the prime factors of 101492947? 2099, 48353 What are the prime factors of 640207359? 3, 11, 167, 38723 List the prime factors of 2272833624. 2, 3, 733, 129197 What are the prime factors of 167619620? 2, 5, 7, 37, 32359 What are the prime factors of 946057649? 946057649 What are the prime factors of 255598719? 3, 85199573 What are the prime factors of 659267539? 7, 787, 119671 List the prime factors of 5506466. 2, 7, 19, 127, 163 What are the prime factors of 3555004756? 2, 888751189 What are the prime factors of 42596351? 7, 6085193 List the prime factors of 6265065425. 5, 250602617 What are the prime factors of 3447184474? 2, 71, 239, 101573 List the prime factors of 655975789. 7, 79, 97, 1747 List the prime factors of 52580550. 2, 3, 5, 11, 2897 List the prime factors of 2107495947. 3, 1187, 591827 List the prime factors of 46698655. 5, 103, 90677 List the prime factors of 511039927. 443, 1153589 List the prime factors of 20014651. 43, 103, 4519 What are the prime factors of 1360851598? 2, 17, 953, 41999 List the prime factors of 42003233. 31, 1354943 List the prime factors of 127570782. 2, 3, 21261797 What are the prime factors of 81635068? 2, 101, 202067 What are the prime factors of 248153107? 248153107 List the prime factors of 442337107. 1289, 343163 List the prime factors of 1345498891. 11, 67, 379, 4817 What are the prime factors of 77947148? 2, 19486787 List the prime factors of 982060644. 2, 3, 81838387 List the prime factors of 660933453. 3, 1259, 174989 What are the prime factors of 4673217738? 2, 3, 7, 103, 1080263 What are the prime factors of 123924593? 13, 19, 501719 List the prime factors of 38121921. 3, 29, 16229 What are the prime factors of 36426488? 2, 7, 31, 20983 What are the prime factors of 1070258543? 19, 29, 1301, 1493 What are the prime factors of 12631378? 2, 2377, 2657 List the prime factors of 448673253. 3, 7, 103, 29633 List the prime factors of 275953899. 3, 13, 7075741 What are the prime factors of 51686585? 5, 1373, 7529 What are the prime factors of 583751517? 3, 61, 3189899 What are the prime factors of 84798819? 3, 7, 347, 431 What are the prime factors of 1829880444? 2, 3, 7, 71, 306821 List the prime factors of 3288100600. 2, 5, 139, 118277 What are the prime factors of 33870113? 173, 195781 What are the prime factors of 17038087? 11, 1548917 List the prime factors of 45874229. 45874229 What are the prime factors of 2082753139? 1459, 1427521 List the prime factors of 28952162. 2, 19, 191, 3989 What are the prime factors of 4230608954? 2, 11, 13, 241, 61379 List the prime factors of 3264570069. 3, 2719, 400217 List the prime factors of 113024751. 3, 7, 37, 145463 What are the prime factors of 55152371? 55152371 List the prime factors of 938778. 2, 3, 47, 3329 What are the prime factors of 2575247804? 2, 37, 470279 What are the prime factors of 828032360? 2, 5, 29, 113, 6317 What are the prime factors of 5344934018? 2, 59, 45296051 What are the prime factors of 2104734354? 2, 3, 47, 101, 73897 What are the prime factors of 176637144? 2, 3, 29, 253789 List the prime factors of 49098311. 49098311 List the prime factors of 321313931. 43, 53, 140989 List the prime factors of 1550965540. 2, 5, 4789, 16193 What are the prime factors of 206042256? 2, 3, 7, 29201 What are the prime factors of 1148378101? 13, 17, 5196281 What are the prime factors of 151195949? 37, 4086377 List the prime factors of 4402772462. 2, 11, 163, 983, 1249 What are the prime factors of 2276548865? 5, 29, 137, 114601 List the prime factors of 597480103. 11, 3767, 14419 What are the prime factors of 3740127423? 3, 503, 2478547 What are the prime factors of 123164085? 3, 5, 11, 31, 199 What are the prime factors of 20344579? 20344579 What are the prime factors of 961802937? 3, 23, 67339 What are the prime factors of 68446996? 2, 17111749 What are the prime factors of 156651790? 2, 5, 15665179 What are the prime factors of 815019000? 2, 3, 5, 107, 2539 What are the prime factors of 3397184308? 2, 7, 17332573 What are the prime factors of 1359492030? 2, 3, 5, 13, 769, 1511 List the prime factors of 79836837. 3, 26612279 What are the prime factors of 368532426? 2, 3, 17, 53, 68171 What are the prime factors of 37279055? 5, 11, 149, 4549 List the prime factors of 276544682. 2, 59, 193, 12143 List the prime factors of 57611571. 3, 2017, 9521 What are the prime factors of 437018755? 5, 311, 463, 607 List the prime factors of 907097678. 2, 1109, 408971 List the prime factors of 62442977. 281, 317, 701 What are the prime factors of 340096589? 7, 43, 1129889 What are the prime factors of 6223375? 5, 49787 List the prime factors of 3001396844. 2, 750349211 List the prime factors of 142433121. 3, 47477707 List the prime factors of 2866636. 2, 716659 What are the prime factors of 204320417? 7, 397, 73523 What are the prime factors of 527725370? 2, 5, 137, 151, 2551 What are the prime factors of 65081723? 7, 67, 193, 719 What are the prime factors of 158393900? 2, 5, 7, 71, 3187 List the prime factors of 105602836. 2, 19, 1389511 What are the prime factors of 243314860? 2, 5, 12165743 What are the prime factors of 354699831? 3, 5717, 20681 What are the prime factors of 1920783406? 2, 23, 79, 528559 What are the prime factors of 709686279? 3, 59, 148501 What are the prime factors of 13049906? 2, 6524953 What are the prime factors of 1627085612? 2, 73, 5572211 What are the prime factors of 4816972178? 2, 151, 15950239 What are the prime factors of 319512412? 2, 23, 31, 112031 What are the prime factors of 3613024867? 151, 1487, 16091 List the prime factors of 239866848. 2, 3, 13, 64067 What are the prime factors of 734733460? 2, 5, 36736673 What are the prime factors of 84603197? 7, 12086171 What are the prime factors of 544237196? 2, 136059299 List the prime factors of 8273152. 2, 17, 1901 What are the prime factors of 1054778695? 5, 59, 3575521 What are the prime factors of 1376910259? 19, 181, 400381 What are the prime factors of 510939742? 2, 255469871 List the prime factors of 273771252. 2, 3, 29, 29137 List the prime factors of 217560458. 2, 17, 1279, 5003 What are the prime factors of 54706886? 2, 13, 2104111 What are the prime factors of 293258341? 293258341 List the prime factors of 1730279676. 2, 3, 144189973 List the prime factors of 27989310. 2, 3, 5, 1
{ "pile_set_name": "DM Mathematics" }
1 Let d = 233.689 + -234. Let v = d + -0.001. Round v to 2 decimal places. -0.31 Let k = -75 + 75.00000159. What is k rounded to seven decimal places? 0.0000016 Let d = -248 + 400. Let x = -366327201 - -366327353.000103. Let o = x - d. What is o rounded to 5 dps? 0.0001 Let u = -1801230602.80040414 - -5231664615.800404. Let j = u + -3430433979. Let b = -34 + j. Round b to 7 dps. -0.0000001 Let j(f) = 2*f**3 - 48*f**2 + 17*f - 28. Let z be j(19). Round z to the nearest 100. -3300 Suppose -68 = -8*a - 28. Suppose -a*x + q + 7996 = 0, x + 1612 = 2*x + 3*q. What is x rounded to the nearest one thousand? 2000 Let h = 855 + -210. Let x = h + -645.0321. What is x rounded to 3 dps? -0.032 Suppose 3*r - 40*q + 211915 = -39*q, -4*r - 282580 = 4*q. What is r rounded to the nearest 1000? -71000 Let r = -11 + 15. Let h be 7799937/5 + 21/35. Suppose a = b + 124833 + 265170, 4*b = -r*a - h. Round b to the nearest one hundred thousand. -400000 Let z = -3363 - -3363.9972. Let y = 341 - 342. Let h = z + y. What is h rounded to three decimal places? -0.003 Let d = 2.83 - 3. Let a = 0.08982 + 0.08022. Let u = d + a. What is u rounded to five dps? 0.00004 Let w = 45.360003858 + -45.36. What is w rounded to 7 decimal places? 0.0000039 Suppose -4*q = c + 5511999, -2756001 = 2*q + 2*c - 3*c. Round q to the nearest one hundred thousand. -1400000 Let w = -17 + 17. Suppose p = -3*h - w*p - 10739999, 4*p = -4*h - 14319996. Round h to the nearest 1000000. -4000000 Let q = -14260.3541 + 14261. Let m = 0.65 - q. What is m rounded to 3 decimal places? 0.004 Let r be (78/12)/((-1)/8). Let w = 20 + r. Let t be (-5)/(60/w)*15375. Round t to the nearest 10000. 40000 Let j = 1624.488331 - 1623.76. Let t = j - 0.728. What is t rounded to four decimal places? 0.0003 Let v = -1014.999153 + 1015. Round v to four dps. 0.0008 Let a = -24104988 + 16384988. What is a rounded to the nearest one million? -8000000 Let n = -1998.99998781 + 1999. What is n rounded to six dps? 0.000012 Suppose -u + 12 = -5*k + 27, 5*k = 2*u + 15. Suppose 24707139 = -k*t - 1992861. Round t to the nearest one million. -9000000 Suppose -2*b + b = 0, 5*b - 1020 = 5*n. Round n to the nearest 100. -200 Let m = -22 + 24. Suppose -2*p + 2*i = 0, 1 + 4 = 3*p - m*i. Suppose -p*b - 4*z + 1243 = 0, 6 = z - 3*z. Round b to the nearest 10. 250 Suppose -5*h + 3*h + 4 = 0. Suppose -h*k = -4 - 2. Suppose 7*r = k*r - 16400000. What is r rounded to the nearest 1000000? -4000000 Let w = -16 - -16. Let v = -22 - w. Let u = v - -22.0000045. Round u to six dps. 0.000005 Let j = 0.02037 - 20.81037. Round j to the nearest integer. -21 Let c = 3.95 + 0.44. Let b = 0.64 - c. What is b rounded to one decimal place? -3.8 Let x(d) = -939*d**2 - 9*d + 4. Let y be x(-7). Let g = 80728 + y. Let k = g + -16784. What is k rounded to the nearest 10000? 20000 Suppose -10404823 - 8164304 = -3*t. Suppose -3*b = 4*v - 7970299 - t, -3*v = -6. Round b to the nearest one million. 5000000 Let t = 117.42244 + 0.67556. Let b = t + -118. What is b rounded to two decimal places? 0.1 Let c = -2.10603409 + 2.106. What is c rounded to 6 decimal places? -0.000034 Let i = -91.642465162 + 7.642465332. Let h = -84 - i. What is h rounded to seven decimal places? -0.0000002 Let d = -3.49 - -0.09. Let m = -2.04 - d. What is m rounded to one dp? 1.4 Let o = -31 + 30.981. Let c = o - 0.0002. Round c to three dps. -0.019 Suppose 0 = -4*g + 5*g - 58. Suppose 0 = m + 2, 5*f + 913 = 2*m - g. Let w be f/26 + (-2)/(-4). What is w rounded to the nearest 10? -10 Suppose t + 3*z - 5821112 = 0, 2*z = 3 - 1. Let v = t - 8981109. Round v to the nearest one hundred thousand. -3200000 Let o = -1174 - -1174.000005685. What is o rounded to seven decimal places? 0.0000057 Let j = -1.045086625793 - -130005.263107225793. Let i = j - 129991.218. Let v = 13 - i. Round v to 6 dps. -0.000021 Let x = -0.0938 + 0.5308. What is x rounded to two dps? 0.44 Let z = -0.039859744 - 4.760138736. Let x = 4.8 + z. Round x to seven decimal places. 0.0000015 Let i = 0.713985 - 104.711005. Let a = i - -104. Round a to four decimal places. 0.003 Let x = 38398 - 15971. Let p = x - 9527. What is p rounded to the nearest 1000? 13000 Let s = 11 + -11.015. Let t = s + -0.475. What is t rounded to one decimal place? -0.5 Let a = -2880930 - 22419070. Round a to the nearest one million. -25000000 Let b = -0.5798 - 0.0222. Round b to one dp. -0.6 Let s = 0.181 + -0.180985971. What is s rounded to seven decimal places? 0.000014 Let j = -7.19 - -7.192236. Round j to 4 decimal places. 0.0022 Let p(n) = -n**3 - 5*n**2 - 2*n + 1. Suppose 10*o - 5 = 11*o. Let i be p(o). Let g be (4 + -1)/(i/(-77)). What is g rounded to the nearest ten? -20 Let p = 3.2 - 0.1. Let n = p - 3.1224. Let w = n - -0.02239779. Round w to seven dps. -0.0000022 Let t = 6.19 + -6.72022. Let i = t + 0.53. What is i rounded to 4 decimal places? -0.0002 Let w(s) = 1575049*s - 294. Let x be w(6). What is x rounded to the nearest one hundred thousand? 9500000 Let m = 3335.53 - 3364. Let j = m - -4.57. What is j rounded to the nearest integer? -24 Let b = 5.581 - 3.342. Round b to the nearest integer. 2 Let n(y) = -1026*y**3 - 11*y**2 + y + 6. Let j be n(6). What is j rounded to the nearest 100000? -200000 Let x = -193.331 + 186.8. What is x rounded to 1 dp? -6.5 Let r = 680.9382 - 681. What is r rounded to 2 dps? -0.06 Suppose 0 = 5*h + 4*y - 3190, -5*h + 3*h + y = -1263. Let b = 88 - h. Let z = b - -376. What is z rounded to the nearest one hundred? -200 Let z = 0.40677 + -0.441. Round z to four dps. -0.0342 Let h(q) = 302001*q + 1. Let n(c) = -3*c + 5. Let f be n(2). Let v be h(f). Round v to the nearest ten thousand. -300000 Let c = 853 + -852.9221. What is c rounded to 3 dps? 0.078 Let f = -0.51 + 0.48667. Round f to three dps. -0.023 Let z = 1277788.98999891 - 1277789. Let x = z - -0.01. Round x to 7 decimal places. -0.0000011 Let j = 1133 - 1129.015. What is j rounded to one dp? 4 Suppose j = 2*x - 3*j + 42, -5*j + 33 = -x. Let z = -10 - x. Let c be 66*(z + -6253)*4. What is c rounded to the nearest one hundred thousand? -1700000 Let g(j) = -j**2 + 2*j. Let h be g(3). Suppose 5*f + 27 = -4*f. Let v be -1 - h/f - -14002. Round v to the nearest ten thousand. 10000 Let c = 33.378 - -0.122. Let w = c + -34. Let r = w - -0.5000004. What is r rounded to 6 dps? 0 Let m = -2672 + 2671.99997551. Round m to six dps. -0.000024 Let y be (-1989)/(-6)*(-8)/(-12). What is y rounded to 0 dps? 221 Suppose 4*o + 6900000 = 2*o. Round o to the nearest 1000000. -3000000 Let y = 4599 + -4598.8083. Round y to two decimal places. 0.19 Let h(i) = 11668*i - 20. Let t be h(15). Suppose 9 = 5*b - 1. Suppose -b*n - t = -3*n. What is n rounded to the nearest ten thousand? 180000 Let s = 24 + -22. Suppose s*l - 4*p - 15713548 - 2104736 = 0, 4*l = -p + 35636532. Let c = l - 3709134. Round c to the nearest 1000000. 5000000 Let d = -373.8865827 + 352.886581. Let l = 21 + d. Round l to six dps. -0.000002 Let m = -1444 + 1443.99996712. What is m rounded to six dps? -0.000033 Suppose 2*y = -x + 3136, -3*x + 3*y = -11655 + 2229. What is x rounded to the nearest one hundred? 3100 Let m = 162 + -104. Let j = m - 57.896. What is j rounded to two decimal places? 0.1 Let g be (-1)/((-1)/(-6)*-2). Suppose -o = -3, -4 + g = -2*n + o. Suppose n*v - v + 680000 = 0. What is v rounded to the nearest one hundred thousand? -700000 Let u be -1*(-1006)/4*-1982. Suppose -4*r - 38695419 = -7*r. Let b = r + u. Round b to the nearest 1000000. 12000000 Let l = -91 - -83. Let n = -1942 + 1949.945. Let m = l + n. Round m to two dps. -0.06 Suppose 0*w - 4 = -4*w, -4*q = 4*w + 65436. What is q rounded to the nearest one thousand? -16000 Let o = -1019.9289 + 1020. Let g = -18.07 - -18. Let i = g + o. Round i to three dps. 0.001 Let k = 486489 + -1776489. What is k rounded to the nearest one hundred thousand? -1300000 Let z = -382.8 - -352. Let q = z - -63. Let f = 32.2199 - q. Round f to three decimal places. 0.02 Let o = -93.838 + 94. Let y = -0.29 + o. What is y rounded to two dps? -0.13 Let c = 85.43 - 86. Let y = 4.63 - c. Round y to 0 decimal places. 5 Let z = 8.71 - 8.7099226. Round z to five dps. 0.00008 Let u = -843 - -843.003444. What is u rounded to four dps? 0.0034 Suppose 366 - 14268 = 14*g.
{ "pile_set_name": "DM Mathematics" }
nutes after 8:40 PM? 5:46 AM How many minutes are there between 9:16 PM and 7:33 AM? 617 What is 535 minutes before 8:18 AM? 11:23 PM What is 672 minutes before 8:24 AM? 9:12 PM What is 700 minutes before 10:44 PM? 11:04 AM What is 110 minutes before 3:17 AM? 1:27 AM How many minutes are there between 7:31 AM and 6:50 PM? 679 What is 655 minutes before 6:13 PM? 7:18 AM What is 528 minutes after 1:36 PM? 10:24 PM What is 444 minutes after 10:51 PM? 6:15 AM How many minutes are there between 12:46 AM and 12:06 PM? 680 What is 387 minutes after 7:31 AM? 1:58 PM How many minutes are there between 6:24 AM and 3:16 PM? 532 How many minutes are there between 6:40 AM and 6:42 AM? 2 What is 636 minutes before 2:15 AM? 3:39 PM What is 618 minutes before 2:23 PM? 4:05 AM What is 524 minutes after 4:57 PM? 1:41 AM How many minutes are there between 6:38 AM and 2:54 PM? 496 What is 25 minutes before 5:49 PM? 5:24 PM What is 197 minutes after 6:43 AM? 10:00 AM How many minutes are there between 12:09 AM and 9:45 AM? 576 What is 589 minutes after 8:53 AM? 6:42 PM What is 300 minutes after 9:15 PM? 2:15 AM How many minutes are there between 11:32 PM and 10:29 AM? 657 How many minutes are there between 2:10 PM and 5:39 PM? 209 How many minutes are there between 7:00 PM and 12:05 AM? 305 What is 528 minutes after 5:16 PM? 2:04 AM How many minutes are there between 11:15 AM and 11:55 AM? 40 What is 255 minutes before 9:33 PM? 5:18 PM How many minutes are there between 2:49 PM and 1:16 AM? 627 What is 313 minutes after 5:23 PM? 10:36 PM How many minutes are there between 6:16 PM and 7:10 PM? 54 How many minutes are there between 3:35 PM and 6:10 PM? 155 How many minutes are there between 10:02 AM and 7:34 PM? 572 How many minutes are there between 10:12 AM and 1:35 PM? 203 What is 631 minutes after 1:53 PM? 12:24 AM How many minutes are there between 11:01 AM and 10:41 PM? 700 How many minutes are there between 3:04 AM and 4:11 AM? 67 How many minutes are there between 11:23 AM and 12:19 PM? 56 How many minutes are there between 9:45 AM and 2:58 PM? 313 What is 663 minutes before 9:15 PM? 10:12 AM How many minutes are there between 4:39 PM and 1:07 AM? 508 How many minutes are there between 11:53 AM and 4:44 PM? 291 How many minutes are there between 4:10 AM and 11:13 AM? 423 How many minutes are there between 9:26 PM and 9:13 AM? 707 What is 305 minutes after 9:01 PM? 2:06 AM What is 457 minutes before 6:58 AM? 11:21 PM How many minutes are there between 11:32 AM and 6:03 PM? 391 How many minutes are there between 8:53 PM and 8:15 AM? 682 How many minutes are there between 5:03 PM and 8:59 PM? 236 What is 559 minutes after 10:32 PM? 7:51 AM How many minutes are there between 12:44 AM and 6:43 AM? 359 How many minutes are there between 10:02 PM and 8:12 AM? 610 How many minutes are there between 8:01 AM and 4:14 PM? 493 What is 578 minutes before 12:45 AM? 3:07 PM How many minutes are there between 5:43 AM and 10:32 AM? 289 What is 446 minutes after 7:43 PM? 3:09 AM How many minutes are there between 1:55 AM and 4:28 AM? 153 How many minutes are there between 11:42 AM and 10:12 PM? 630 How many minutes are there between 2:19 AM and 8:58 AM? 399 What is 373 minutes before 8:19 PM? 2:06 PM How many minutes are there between 1:51 PM and 4:27 PM? 156 How many minutes are there between 12:21 PM and 5:53 PM? 332 What is 20 minutes after 7:28 AM? 7:48 AM What is 715 minutes after 12:24 PM? 12:19 AM What is 448 minutes after 11:17 PM? 6:45 AM How many minutes are there between 6:51 AM and 4:58 PM? 607 What is 298 minutes before 5:13 AM? 12:15 AM What is 25 minutes before 1:10 AM? 12:45 AM How many minutes are there between 12:24 PM and 8:45 PM? 501 How many minutes are there between 4:00 AM and 1:46 PM? 586 What is 195 minutes after 10:56 PM? 2:11 AM What is 165 minutes after 7:55 AM? 10:40 AM How many minutes are there between 6:55 AM and 7:09 AM? 14 How many minutes are there between 3:26 AM and 11:49 AM? 503 How many minutes are there between 1:25 AM and 4:04 AM? 159 What is 596 minutes after 6:25 AM? 4:21 PM How many minutes are there between 8:04 PM and 7:41 AM? 697 What is 705 minutes after 2:04 AM? 1:49 PM What is 139 minutes before 8:04 PM? 5:45 PM What is 123 minutes after 4:00 PM? 6:03 PM What is 155 minutes before 5:41 PM? 3:06 PM How many minutes are there between 4:06 AM and 12:34 PM? 508 What is 355 minutes before 5:23 PM? 11:28 AM What is 302 minutes before 6:48 PM? 1:46 PM How many minutes are there between 8:15 PM and 7:54 AM? 699 How many minutes are there between 10:40 AM and 11:34 AM? 54 How many minutes are there between 5:54 PM and 5:53 AM? 719 How many minutes are there between 6:45 PM and 6:34 AM? 709 What is 270 minutes before 5:25 AM? 12:55 AM How many minutes are there between 6:45 AM and 9:37 AM? 172 What is 493 minutes before 12:50 AM? 4:37 PM How many minutes are there between 9:19 AM and 4:31 PM? 432 What is 418 minutes before 2:21 AM? 7:23 PM What is 366 minutes before 1:21 PM? 7:15 AM What is 20 minutes before 2:32 AM? 2:12 AM How many minutes are there between 5:25 AM and 12:10 PM? 405 What is 524 minutes before 7:20 AM? 10:36 PM How many minutes are there between 7:20 PM and 5:05 AM? 585 How many minutes are there between 1:20 AM and 8:57 AM? 457 How many minutes are there between 7:25 PM and 6:58 AM? 693 How many minutes are there between 8:58 PM and 5:43 AM? 525 What is 681 minutes before 10:26 PM? 11:05 AM What is 404 minutes before 12:21 PM? 5:37 AM How many minutes are there between 7:33 AM and 9:28 AM? 115 How many minutes are there between 6:12 PM and 6:14 PM? 2 What is 35 minutes before 12:22 AM? 11:47 PM What is 491 minutes after 12:08 PM? 8:19 PM How many minutes are there between 5:51 AM and 9:18 AM? 207 What is 59 minutes after 5:50 AM? 6:49 AM What is 249 minutes after 10:30 AM? 2:39 PM What is 581 minutes before 9:00 AM? 11:19 PM How many minutes are there between 1:33 PM and 4:50 PM? 197 How many minutes are there between 3:41 PM and 8:56 PM? 315 What is 313 minutes before 1:34 AM? 8:21 PM What is 103 minutes after 2:04 AM? 3:47 AM How many minutes are there between 2:28 AM and 7:32 AM? 304 What is 104 minutes before 9:29 AM? 7:45 AM How many minutes are there between 7:01 PM and 11:21 PM? 260 How many minutes are there between 11:37 AM and 10:34 PM? 657 How many minutes are there between 4:19 PM and 11:15 PM? 416 What is 708 minutes after 6:29 AM? 6:17 PM How many minutes are there between 4:57 AM and 8:48 AM? 231 How many minutes are there between 5:14 AM and 7:43 AM? 149 What is 9 minutes before 10:57 AM? 10:48 AM How many minutes are there between 3:25 PM and 5:50 PM? 145 What is 399 minutes before 8:37 AM? 1:58 AM How many minutes are there between 4:39 AM and 3:54 PM? 675 How many minutes are there between 12:33 AM and 9:07 AM? 514 What is 321 minutes before 4:50 PM? 11:29 AM How many minutes are there between 11:21 PM and 7:23 AM? 482 What is 573 minutes before 6:01 AM? 8:28 PM What is 398 minutes before 1:17 AM? 6:39 PM What is 295 minutes after 2:54 AM? 7:49 AM What is 204 minutes before 2:12 PM? 10:48 AM What is 217 minutes after 3:46 AM? 7:23 AM What is 331 minutes after 8:29 PM? 2:00 AM What is 14 minutes after 2:30 AM? 2:44 AM How many minutes are there between 12:54 PM and 12:14 AM? 680 How many minutes are there between 7:33 PM and 8:55 PM? 82 How many minutes are there between 12:51 PM and 11:19 PM? 628 What is 481 minutes before 3:07 PM? 7:06 AM What is 366 minutes after 9:20 PM? 3:26 AM What is 123 minutes before 7:51 PM? 5:48 PM How many minutes are there between 9:12 PM and 11:46 PM? 154 How many minutes are there between 3:32 AM and 7:35 AM? 243 How many minutes are there between 7:01 PM and 7:26 PM? 25 What is 20 minutes before 6:32 AM? 6:12 AM How many minutes are there between 9:05 AM and 1:30 PM? 265 What is 54 minutes before 12:51 PM? 11:57 AM What is 693 minutes after 11:24 AM? 10:57 PM How many minutes are there between 7:34 AM and 8:14 AM? 40 What is 625 minutes before 6:45 PM? 8:20 AM How many minutes are there between 11:24 PM and 3:48 AM? 264 How many minutes are there between 2:08 PM and 1:57 AM? 709 How many minutes are there between 10:20 AM and 4:02 PM? 342 What is 132 minutes afte
{ "pile_set_name": "DM Mathematics" }
3? -12200110100 In base 13, what is -19c - -34? -168 In base 3, what is 11 + 100121221? 100122002 In base 6, what is -315202 - -4? -315154 In base 11, what is -1787 + -58? -1834 In base 15, what is 30 + -2eb? -2bb In base 3, what is 100000002 + 20001? 100020010 In base 15, what is -3 - 27e25? -27e28 In base 2, what is -1001 + -10001110001101010010? -10001110001101011011 In base 4, what is -12 + 221020122? 221020110 In base 6, what is 15340 - 43? 15253 In base 11, what is -2 - -965? 963 In base 14, what is 77c4 + 2? 77c6 In base 12, what is -14285 + -6? -1428b In base 6, what is 2 + -324542? -324540 In base 6, what is -114 + 10002? 5444 In base 14, what is 1241 - 410? c31 In base 5, what is 103110 - -220? 103330 In base 12, what is -77a89 + -22? -77aab In base 16, what is -39 - -25b? 222 In base 3, what is -101002 + -2202001? -10010010 In base 13, what is 23 - 15a8? -1585 In base 11, what is -16 - 156a? -1585 In base 6, what is 5 + 1101225? 1101234 In base 8, what is 3436545 + 1? 3436546 In base 14, what is -7907c + -5? -79083 In base 2, what is 1010 + 1010100000001010? 1010100000010100 In base 3, what is -10210 - -2202220? 2122010 In base 9, what is 166 + -16? 150 In base 15, what is 59123 + -5? 5911d In base 3, what is -2101101 + -2100? -2110201 In base 16, what is -5 + 1ab? 1a6 In base 7, what is -46 - 15612? -15661 In base 2, what is 1 - -1111110111010100? 1111110111010101 In base 3, what is 211 - 10012101? -10011120 In base 3, what is -1012111 - 120? -1020001 In base 15, what is -3 - 1603? -1606 In base 5, what is 0 + 3020430? 3020430 In base 3, what is -12 - 101212221? -101220010 In base 7, what is -41212 + 303? -40606 In base 14, what is -803 + 620? -1c3 In base 4, what is 22122223133 - 0? 22122223133 In base 5, what is -10 + -110121041? -110121101 In base 9, what is 21 + 10180? 10211 In base 5, what is -1 - 4020113? -4020114 In base 6, what is -1244325 + 2? -1244323 In base 9, what is 24352 + 0? 24352 In base 10, what is 9015 - 12? 9003 In base 6, what is 1 + 4031231? 4031232 In base 8, what is 11 - 1063057? -1063046 In base 11, what is -30541 - 4? -30545 In base 13, what is -703077 - 1? -703078 In base 13, what is 16 + 7b6? 7cc In base 6, what is 101002 + -12? 100550 In base 6, what is 13330 - 203? 13123 In base 2, what is 1 - -10100000111010010? 10100000111010011 In base 7, what is 542 - -43545? 44420 In base 14, what is -7c42a - -9? -7c421 In base 8, what is 0 - -27016? 27016 In base 9, what is 6 + -77224? -77217 In base 15, what is 6bac + -16? 6b96 In base 3, what is 12 + 111021021002? 111021021021 In base 11, what is 8 - 20144? -20137 In base 16, what is 2c9ae + -3? 2c9ab In base 6, what is -42 + 43530? 43444 In base 16, what is 13fda - -4? 13fde In base 6, what is 3 + 2353? 2400 In base 6, what is -41 - -2304101? 2304020 In base 3, what is -1201100102 + -1? -1201100110 In base 7, what is 5 - -1454513? 1454521 In base 2, what is -11010111011110100110 + 1? -11010111011110100101 In base 16, what is -1 - -51265? 51264 In base 7, what is 1 + 1030010? 1030011 In base 15, what is -7 - -3c7d? 3c76 In base 11, what is -58633 + -6? -58639 In base 10, what is -4909 + 503? -4406 In base 8, what is 2220 - -241? 2461 In base 10, what is 27 - -97946? 97973 In base 8, what is -152 + 21701? 21527 In base 14, what is -c28 - -2? -c26 In base 7, what is 326505 - -5? 326513 In base 3, what is -1122211121 + -10? -1122211201 In base 2, what is 11111 - 10111010001111110? -10111010001011111 In base 10, what is -692 + 36? -656 In base 9, what is 1 + -13451? -13450 In base 9, what is 115 - 881? -765 In base 9, what is 686 + -1168? -372 In base 15, what is 3 - -7cd49? 7cd4c In base 5, what is -41 + 2300102? 2300011 In base 5, what is -3343 - 3? -3401 In base 11, what is 95 - 66? 2a In base 6, what is -1 + -334114? -334115 In base 8, what is 630 + -2115? -1265 In base 14, what is 64ad - 0? 64ad In base 2, what is -10000 + -1010011001101? -1010011011101 In base 15, what is -4 + -a78d? -a792 In base 6, what is -355422 - -5? -355413 In base 2, what is 10101110 + 10111010? 101101000 In base 5, what is -104244 - 13? -104312 In base 3, what is -1220 + -1212100? -1221020 In base 14, what is 42 - -16cd? 1731 In base 11, what is 48a65 - -2? 48a67 In base 6, what is -1352 - -131? -1221 In base 15, what is -1 + -3562? -3563 In base 7, what is -56 + 1041? 652 In base 7, what is -12336 + -505? -13144 In base 14, what is 32 - 3325? -32d3 In base 10, what is -393 + 1935? 1542 In base 11, what is 100a - -59? 1068 In base 15, what is -70 - -9aa? 93a In base 11, what is 49 + 579a? 5838 In base 13, what is -1a6 + 4661? 4488 In base 15, what is -d + -241e7? -24205 In base 15, what is -9b2 - -5? -9ac In base 15, what is -869a - 6? -86a1 In base 8, what is -4 - 26613? -26617 In base 7, what is 12 - -22241? 22253 In base 9, what is 6 - -803? 810 In base 5, what is 10 + 12322200? 12322210 In base 6, what is 322 + -1422? -1100 In base 14, what is 55d6 - 22? 55b4 In base 5, what is 10 + 21000? 21010 In base 2, what is -11001110111 + 1101010? -11000001101 In base 9, what is 38 + 1047? 1086 In base 2, what is 100 + -11101111000010? -11101110111110 In base 8, what is 0 + -15674? -15674 In base 15, what is 197e8 + 4? 197ec In base 11, what is -2736 - 1? -2737 In base 15, what is -22 - 11cc8? -11cea In base 14, what is -39b - 4c? -409 In base 6, what is 2 + 3102430? 3102432 In base 10, what is -242 + 18? -224 In base 11, what is -17307 - -6? -17301 In base 4, what is 231 + -2110? -1213 In base 16, what is -4 - 1a5dd? -1a5e1 In base 7, what is -46020 - -26? -45661 In base 2, what is -101000001 + -11101? -101011110 In base 9, what is 1574 + 1502? 3176 In base 11, what is 3 - 23976? -23973 In base 6, what is -13 + 11124055? 11124042 In base 3, what is -10102 - 22101201? -22112010 In base 12, what is 4603 - -85? 4688 In base 7, what is 5235 + -2023? 3212 In base 9, what is 258866 - 7? 258858 In base 9, what is -16461 - -3? -16457 In base 4, what is -10 - 3033202221? -3033202231 In base 11, what is -156aa + -30? -1572a In base 2, what is -100 - -1101011101011010? 1101011101010110 In base 4, what is 3200 + -13332? -10132 In base 16, what is -2 + 1c067? 1c065 In base 3, what is -1121220211 - -10? -1121220201 In base 9, what is 1570 + -275? 1284 In base 14, what is 105 - -32b? 432 In base 3, what is -11 + 202100212? 202100201 In base 9, what is 474873 - -1? 474874 In base 3, what is -1210001202 + 0? -1210001202 In base 8, what is 153523 - 6? 153515 In base 8, what is 25044 + 27? 25073 In base 5, what is -310 + -10141? -11001 In base 3, what is -22000 + -2002? -101002 In base 10, what is 4 - 22087? -22083 In base 2, what is 11010100 - 10010000110? -1110110010 In base 10, what is -22791 - -3? -22788 In base 4, what is 122110 - -2220? 130330 In base 10, what is -21 - -799? 778 In base 8, what is 600 - 20? 560 In base 10, what is -348 - -107? -241 In base 3, what is -20021102212221 - 1? -20021102212222 In base 10, what is 0 + 21156? 21156 In base 7, what is 26 + -246? -220 In base 13, what is -9510a + -2? -9510c In base 13, what is -2c721 + 5? -2c719 In base 13, what is -4b10 - -4? -4b09 In base 5, what is -22200014 - 1? -22200020 In base 14, what is -5 + c8ab? c8a6 In base 6, what is 52525321 - -3? 52525324 In base 6, what is 431 + -5532? -5101 In base 7, what is -351 - 404? -1055 In base 3, what is 100 - -1212102021? 1212102121 In base 14, what is -3 - -1ab2? 1aad In base 2, what is 110001 - 110100101011110? -110100100101101 In base 5, what is -3 - -32011301? 32011243 In base 6, what is -10 - -10512552? 10512542 In base 12, what is -79 + 769? 6b0 In base 15, what is -1e9 - a2c? -c26 In base 3, what is 22121220020 - -121? 22121220211 In base 14, what is -1322a3 - -5? -13229c In base 14, what is 7c - -2c? aa In base 11, what is -132 + 94? -49 In base 16, what is -3 - -3513? 3510 In base 12, what is -8bb1 + -2b? -9020 In base 10, what is 23922 - 8? 23914 In base 15, what is 2 - 1cdc8? -1cdc6 In base 6, what is 5 + 2032120? 2032125 In base 11, what is -369007 + -5? -369011 In base 4, what is 321 + 1113002? 1113323 In base 14, what is 26c29 - -2? 26c2b In base 5, what is 11240 - 1223? 10012 In base 4, what is -23 - -131301022? 131300333 In base 11, what is 69 - 530? -472 In base 3, what is 21012 - 1
{ "pile_set_name": "DM Mathematics" }
+ v) - -10? 10 Let r = 9 + -6. Let z(v) = -v**3 + 2*v**2 + 5*v - 2. Let l = 7 + 4. Calculate the remainder when l is divided by z(r). 3 Suppose -4*k = 3*v + 45, 0*k - 2*v - 22 = 2*k. Let s be ((-6)/k)/(2/8). Suppose s*c = 6*c - 48. What is the remainder when 34 is divided by c? 10 Let o(i) = -i - 7. Calculate the remainder when 9 is divided by o(-10). 0 Let c(b) = 2*b**3 - 4*b**2 + 3*b. Let w be c(2). Let l = 8 - w. Suppose -h + 78 - 30 = l*g, g + 4*h - 38 = 0. Calculate the remainder when 42 is divided by g. 20 Suppose 0 = 4*o - 6*o - 22. Let a = 31 + -18. What is the remainder when a is divided by (5/3)/(o/(-33))? 3 Suppose -4*y = -3*y. Suppose 0 = -y*v + v - 4. Suppose -v*a + 12 = 0, -2*a + 50 = -3*t + 7*t. Calculate the remainder when 31 is divided by t. 9 Let h(f) = -f**3 + 2*f - 1. Let t be h(-2). Suppose 27 = 15*x - 123. Calculate the remainder when x is divided by 2/t + (-20)/(-6). 2 Let l(n) = n**3 - n**2 - 3*n + 2. Let k = -6 - -8. Let c be l(k). Suppose 3*p + r - 21 - 9 = c, -2*r = 2*p - 24. What is the remainder when 25 is divided by p? 7 Suppose 2*r = f + 1, -30 = 4*f + r + 4*r. Let a = f - -4. Calculate the remainder when 2/((-2)/(-37)) + a is divided by 19. 17 Let a = 52 + -28. What is the remainder when 94 is divided by a? 22 Let y = -16 + 19. What is the remainder when 4 is divided by y? 1 Let l be (-438)/(-6 - -3) - -3. Suppose -5*y + l = 4*g - 113, -y = 3*g - 48. What is the remainder when y is divided by 14? 12 Suppose 28 = 2*n - 8. What is the remainder when 35 is divided by n? 17 Suppose 2*k + 10 = 3*k. Let d be ((-4)/(-6))/(4/18). Suppose 3*h = d, -3*y + 112 = -h - h. Calculate the remainder when y is divided by k. 8 Let i = 3 + 10. What is the remainder when 35 is divided by i? 9 Let m = 2 + -12. Let v(b) = b**3 + 10*b**2 - 4*b - 11. Calculate the remainder when v(m) is divided by 10. 9 Suppose -3*t - 27 = -3*c, -6*c + c - 4*t + 63 = 0. What is the remainder when c is divided by ((-20)/(-50))/((-2)/(-30))? 5 Let p(h) = -h**2 + h + 20. Let o be (2 - (2 + 0))*1. Let c be p(o). Calculate the remainder when 29 is divided by (2/4)/(1/c). 9 Suppose -5*m - 2*j = -183, -4*m + j = -51 - 98. Calculate the remainder when m is divided by 13. 11 What is the remainder when 27 is divided by (3/((-12)/(-56)))/1? 13 Let y = -4 + 5. Let i(z) = 5*z**3 - 2*z**2 + 1. What is the remainder when 11 is divided by i(y)? 3 Let a(f) = -9*f**3 + 21*f**2 - 21*f + 21. Let k(v) = 2*v**3 - 5*v**2 + 5*v - 5. Let s(p) = 5*a(p) + 21*k(p). What is the remainder when 71 is divided by s(-2)? 23 Suppose 3*r + 0*r = 6. Calculate the remainder when (21/(-15))/((-2)/10) is divided by r. 1 Suppose t + 0*t = 5*p + 34, -5*p + 11 = 4*t. Calculate the remainder when 11 is divided by t. 2 Suppose -i + 6*b + 16 = 4*b, 31 = 4*i + 3*b. Suppose 0 = 5*y - y - 112. Calculate the remainder when y is divided by i. 8 Let z be ((-4)/3)/(4/(-6)). Suppose 0 = 5*t - z*h - 116, -3*t - 4*h = -56 + 2. Suppose -5*m = -3*m - t. What is the remainder when 43 is divided by m? 10 Let r = -23 - -59. Suppose -3*f = f + r. Calculate the remainder when 2 is divided by 6/f + (-5)/(-3). 0 Let v be 3/6 - 2/4. Suppose v = -3*h - h. Suppose 5*m - 2*t - 206 + 64 = h, -4*m + 5*t + 100 = 0. Calculate the remainder when m is divided by 16. 14 Let f(v) = -26*v**3 - v**2 - v + 4. Let u be f(3). Suppose 3*a + 0*a = -3, -5*a - 50 = -3*q. Calculate the remainder when u/(-25) + (-4)/10 is divided by q. 13 Suppose 14 = -2*g - 2*n, -n + 25 = 4*n. Calculate the remainder when 20 is divided by ((-9)/3)/3 - g. 9 Suppose 2*z + 3*c - 8 = 5, 5*z - 3*c = 1. Suppose z*k - 7 + 1 = 0. Calculate the remainder when 18 is divided by k. 0 Calculate the remainder when 123/6 - (-3)/(-2) is divided by 10. 9 Let c = -164 + 182. What is the remainder when 214 is divided by c? 16 Suppose -s - u + 5 = -2, 2*s + 4 = 4*u. Suppose s*y = -4*o + 64 + 24, 4*y = -4. What is the remainder when 68 is divided by o? 22 What is the remainder when 552/30 - (-3)/5 is divided by 11? 8 Let g(q) = q - 15. Let s be g(7). Calculate the remainder when s/(-20) - 43/(-5) is divided by 6. 3 Suppose 4 = -u + 40. Let k = -17 + u. What is the remainder when 54 is divided by k? 16 Suppose -4*c - 20 = -2*c + 5*q, q = -4*c - 4. What is the remainder when 10 is divided by -2 + (8 - 2) + c? 2 What is the remainder when 3/(-5) + (-690)/(-25) is divided by 15? 12 Calculate the remainder when 6 is divided by (-21)/(-9) + 1/(-3). 0 Suppose 7 = -3*p + 19. Let g = -17 - -28. Let i = g - 8. What is the remainder when p is divided by i? 1 Let i = 3 - 6. Calculate the remainder when 13 is divided by -6*(-15)/9 + i. 6 Suppose -g = -2*i, i + 14 = -2*i - 2*g. Let f(n) be the third derivative of n**4/24 + n**3/2 - n**2. Calculate the remainder when f(i) is divided by 1. 0 Let x be (-1 - 3)/(-4 + 3). Suppose -6*i + x = -4*i. Calculate the remainder when 5 is divided by i. 1 Let k = -1 - -25. What is the remainder when -1 + 3 + k - 2 is divided by 0/(-1) - -1 - -12? 11 Suppose 0 = -2*i - 5*h + 15, -12 = 2*i - 4*h - 54. What is the remainder when i is divided by 2? 1 Let c(o) = 2*o**2 - 5*o - 3. Let l = -1 + 5. Calculate the remainder when 16 is divided by c(l). 7 Let f(w) = 2*w**2 - 5*w + 8. Let i = 5 + 12. What is the remainder when f(6) is divided by i? 16 Let r = -5 - -24. Suppose -g + 2*g - r = 0. Calculate the remainder when g is divided by 7. 5 Let h(n) = -4*n + 71. What is the remainder when 11 is divided by h(17)? 2 Let j(l) = -l**3 + 5*l**2 + 4*l + 4. Calculate the remainder when 92 is divided by j(5). 20 Let i = 15 - -10. Calculate the remainder when 49 is divided by i. 24 Suppose -5*c - 15 = -5*m, -4*c - 11 = -3*m - 0*m. What is the remainder when 29 is divided by 15 + -2 + m - -1? 14 Suppose -3*x + 2*b = -2*x - 21, 2*b + 10 = 0. Calculate the remainder when x is divided by 3. 2 Suppose 5*m - 2*m = 3. What is the remainder when 2 is divided by m? 0 Suppose -g + 3*c + 213 = 2*g, 2*g + c = 136. Suppose -67 = -2*s + g. Suppose 0 = 3*n + n - s. What is the remainder when n is divided by 6? 5 Suppose -8*j = -11*j + 261. What is the remainder when j is divided by 18? 15 Suppose 6*r = 2*r + 52. Let f(o) = 17*o - 1. Let d be f(3). Suppose u - 3*u + d = 0. What is the remainder when u is divided by r? 12 Let d(f) = -3*f - 5. Calculate the remainder when d(-4) is divided by 2. 1 Let r = 70 + -63. Let t be 34/6 + 2/6. Let u = t + r. Calculate the remainder when 49 is divided by u. 10 Suppose -d + 0*d = -j + 41, 2*d = -5*j + 219. Let i(v) = -4*v - 9. Let k = -1 - 5. What is the remainder when j is divided by i(k)? 13 Let o = 43 + -24. Suppose 0 = 5*l - 126 - o. Calculate the remainder when 115 is divided by l. 28 Let u(w) = 8*w**2 + w - 1. Let r = 0 - 0. Suppose -g + 2*c - c + 12 = r, -3*g + 48 = 3*c. What is the remainder when g is divided by u(1)? 6 Suppose 0 = -0*k + 2*k - 4. Suppose -w + 4 = -4*h + k*h, 3 = -h. Calculate the remainder when 5 is divided by 4 - w*(-3 + 2). 1 Let a(l) = -2*l + 1. Let i be a(-2). Suppose -34 = i*d - 5*b - 154, 5*b - 110 = -5*d. Calculate the remainder when d is divided by 12. 11 Suppose 129 = 2*a - 3*m, 0 = 2*a + 3*a - 5*m - 325. Calculate the remainder when a is divided by 17. 15 Let t be (2/4)/((-4)/(-16)). What is the remainder when 2/(t - -2)*62 is divided by 11? 9 Let m(q) = q**3 - 3*q**2 - 4*q + 1. Let h be m(4). What is the remainder when 3 - (-150)/3 - h is divided by 18? 16 Suppose 59 = 3*w - 73. Suppose 2*o = -2*d - w, 2*d + o + 76 = -2*d. Let p = d - -53. Calculate the remainder when p is divided by 12. 11 Let q(s) = -s**3 + 8*s**2 + 9*s + 2. Let i(h) = h**3 + 2*h**2 - 2*h + 1. Calculate the remainder when i(1) is divided by q(9). 0 What is the remainder when 3/48*4 - 44/(-16) is divided by 3? 0 Let d(u) = u**3 - 5*u**2 - 5*u. What is the remainder when 11 is divided by d(6)? 5 Let q(b) = -b**2 - 5*b. What is the remainder when q(-3) is divided by 3? 0 Suppose -180 + 15 = -5*w. Calculate the remainder when 129 is divided by w. 30 Let y = -29 - -59. Calculate the remainder when 24 is divided by y/(2 - 0) - 2. 11 Let f(s) = -s**3 - 22*s**2 - 22*s + 27. What is the remainder when f(-21) is divided by 10? 8 Let j = -8 + 13. Suppose 8 = f - j. Let w = 0 + 5. What is the remainder when f is divided by w? 3 Suppose c = -0*c. Suppose
{ "pile_set_name": "DM Mathematics" }
n -475380, 0.3, 2/3, 3? 2/3 What is the biggest value in -361490, 1/7, -0.4, 10, 3/5, -0.2? 10 What is the biggest value in -2, 2/765, -13007? 2/765 Which is the fourth biggest value? (a) 2/11 (b) -2 (c) 1/5 (d) -4 (e) 7 (f) 0.65299 a Which is the second smallest value? (a) 75 (b) -3/4 (c) 1/99 (d) -579 b Which is the fourth smallest value? (a) -0.5 (b) -2379 (c) 91 (d) -5/26 c What is the third smallest value in 4/3, -3, 8/3, 323/71, -183? 4/3 Which is the smallest value? (a) 162.878 (b) 0.4 (c) 0 (d) 1 (e) 2 c What is the second smallest value in -0.032, 22, -0.2, 4/3, 479? -0.032 Which is the second smallest value? (a) 4 (b) 21/4 (c) -2/5 (d) -15 (e) 3/5 (f) 2/7 (g) 0.54 c Which is the fourth biggest value? (a) 2/11 (b) -4 (c) 0 (d) -23 (e) -2308 (f) -35 d Which is the third biggest value? (a) 4 (b) -45.77 (c) -138 c What is the biggest value in -2/369, -2/17, 0.204, 2, -1, 0.07? 2 Which is the third biggest value? (a) -9395 (b) -2 (c) 9 a What is the third smallest value in 2, 2752, -3/265? 2752 What is the second biggest value in 6864150, -3/5, 27? 27 Which is the second smallest value? (a) 407 (b) 1/2 (c) 1/7 (d) -0.28 (e) -2/17 e Which is the fifth biggest value? (a) 2/5 (b) -2/25 (c) 117 (d) -1 (e) -1/17 (f) -5 d Which is the sixth biggest value? (a) -10/13 (b) -5 (c) -0.1 (d) 404 (e) -3 (f) 2/13 b Which is the second smallest value? (a) -2/499 (b) -2/9 (c) 0.2 (d) -1913 (e) -1 (f) 0.1 e What is the fourth smallest value in -2, -6.197, 0.3, -4/7? 0.3 What is the biggest value in -1, 2026, 1/36, 25? 2026 What is the fourth biggest value in -91, -2/7, -1133, 7, -2/3, -5? -5 Which is the smallest value? (a) 19 (b) 5 (c) -1 (d) 1541 (e) -2 e What is the smallest value in -4, -7323975/2, 0.04? -7323975/2 Which is the fourth smallest value? (a) -3 (b) -1040 (c) -39/5 (d) -2 (e) 5 (f) -2/3 (g) 2/3 d What is the second smallest value in 0.2, -280, 1/10, -6.2, -4, 4? -6.2 What is the smallest value in 23, 0.2, 214.66, -0.028, 0? -0.028 Which is the biggest value? (a) -17 (b) -0.4 (c) -4 (d) -5.954 (e) -2/3 b Which is the second smallest value? (a) -0.3 (b) -8192/9 (c) -0.08 (d) 2/9 a What is the second biggest value in -2/7, -0.23, 1, 1/3? 1/3 Which is the fourth smallest value? (a) -5.67 (b) 9.54 (c) -56 (d) 0.4 b What is the seventh smallest value in 0.038, -40, -5, 3, -2, 4/7, -0.104? 3 What is the fourth biggest value in -2/151, -3385, 7, -0.2, -3? -3 What is the biggest value in -19, 1.53, 1/178, -0.5, -2/3? 1.53 What is the second biggest value in -10, 2/712269, 0.5, 9? 0.5 What is the smallest value in 0.007627, 0.157, -3? -3 What is the fifth smallest value in 6, -0.32, -2/39, -0.4, 2/3? 6 Which is the smallest value? (a) -5/246 (b) 3 (c) -235 (d) -5 (e) 0.3 (f) -1 c Which is the second biggest value? (a) -21 (b) 54.1 (c) 629 b Which is the sixth smallest value? (a) -0.7 (b) 4 (c) 84 (d) -4 (e) 431/4 (f) -0.2 e Which is the second smallest value? (a) 557/21 (b) 2/7 (c) -3.1 (d) 4 b Which is the smallest value? (a) -1320 (b) 6.862 (c) 0.5 a Which is the second biggest value? (a) 15 (b) 4 (c) -65997 (d) -5 (e) -3 (f) 0.4 b Which is the second biggest value? (a) -11 (b) 552636 (c) -0.5 c Which is the second biggest value? (a) 989 (b) 0.1 (c) -2 (d) 2/5 (e) -0.3 (f) -65/7 d What is the second smallest value in 2, 4, 0.09, -372902, 3/2? 0.09 What is the seventh smallest value in 2/13, 5, -5, 2889, -2, 7, -1/8? 2889 What is the third smallest value in 515, 27/7, 7/10, 0.12? 27/7 What is the third smallest value in 0.016, 0.295, 1/8, 71? 0.295 Which is the smallest value? (a) -339848/11 (b) 4 (c) -5 a Which is the fourth smallest value? (a) 0.4 (b) -0.6 (c) -0.76 (d) 2/13 (e) 0.214 (f) 0.3 (g) 5 e Which is the fifth biggest value? (a) -13557 (b) 11 (c) -2 (d) -1 (e) -1.1 a Which is the third biggest value? (a) 7/6 (b) -0.4 (c) 15.278 (d) -4/11 d What is the fifth smallest value in -2/29, -1, -3, -8, -4/9, 1, -1/2? -4/9 What is the second smallest value in 21640, -3, -4/3, 52, 0.5, -1/4, 2? -4/3 Which is the fourth biggest value? (a) -3 (b) 3/5 (c) 31.1 (d) -1/4 (e) 0.2 (f) 1053 e Which is the sixth biggest value? (a) 1/4 (b) -1/5 (c) -2 (d) 5 (e) 3 (f) -38/3 (g) 11 c Which is the fourth biggest value? (a) -1 (b) 3131 (c) -0.4 (d) 285 (e) 1/12 (f) 0 f What is the fourth biggest value in 2/11, 20, 0.12, -2/5, 3/2, 1, -18/13? 2/11 What is the second biggest value in -8305, 1/2, 2023/6? 1/2 Which is the biggest value? (a) -0.15 (b) -0.5 (c) -1 (d) -0.01986 (e) -5 d What is the fifth smallest value in -1, -9/7, 1/7, 907, 0.5? 907 Which is the second smallest value? (a) 421/2 (b) -1/1096 (c) 0.2 c Which is the second biggest value? (a) -1/24 (b) 7984 (c) -6/7 (d) 5 d What is the second biggest value in 496, 469, -2.09? 469 What is the second smallest value in -46308/5, 3/5, 4, 0.1, 5, 0.4, 4/3? 0.1 Which is the fourth smallest value? (a) -3 (b) 1/22 (c) 3/364 (d) 2/5 (e) 2/15 (f) 3/5 e What is the fourth biggest value in -1/4, -19, 1, -273959? -273959 Which is the sixth biggest value? (a) 10/7 (b) -4 (c) -1/5 (d) -3/5 (e) 1/7 (f) 5 b What is the sixth smallest value in 8.7, -1, -0.2, 3/5, -0.21, -11/6? 8.7 What is the fourth smallest value in 2/9, 447, -66, -11.9? 447 Which is the fourth biggest value? (a) 2 (b) -0.3 (c) -0.026 (d) -6474.6 (e) 0 (f) 0.1 c Which is the smallest value? (a) 1.6676 (b) -6 (c) 1/4 (d) 23/5 b Which is the second biggest value? (a) -4 (b) -5983/5 (c) -0.143 a Which is the fourth biggest value? (a) 57922 (b) 5 (c) 8 (d) 1/268 d Which is the fifth biggest value? (a) -22 (b) 0.7 (c) -4 (d) -0.006 (e) -5/6 (f) -5/4 c What is the second biggest value in 108, 106/61, 0.5? 106/61 Which is the third smallest value? (a) -0.2 (b) -8 (c) -13.43796 a What is the second biggest value in -0.2, -1/9, -2/11, 19, 616, -5, -42? 19 What is the fourth biggest value in 7, -2, -9/7, 0.0499, 2, 4? 0.0499 Which is the third biggest value? (a) 0.1 (b) 8/7 (c) 361.11 a What is the second smallest value in 86, 0.01, -4987/8, -0.4, 2? -0.4 What is the fifth smallest value in 3, -78, -2, 1/4, -0.6, 1/5, -136? 1/5 What is the second biggest value in -155709, -1/6, -5.7? -5.7 Which is the second smallest value? (a) -291204 (b) -34 (c) -0.3 b What is the third biggest value in 2, 40577, 3? 2 Which is the fifth biggest value? (a) -5 (b) -0.4 (c) -0.9 (d) 1 (e) -1/1143 (f) -6 a Which is the third smallest value? (a) -9 (b) -2/99 (c) 3/4 (d) 1708 c Which is the second smallest value? (a) -15 (b) 5 (c) -125555 (d) -2/17 a What is the third smallest value in -2/7, 1, 2, 214/26753? 1 Which is the third smallest value? (a) 0.2 (b) -621 (c) 29 (d) 3/2 (e) 0.3 (f) 9/13 e What is the smallest value in 2, 1/4, -0.1, 3/7, -1568/5, 5? -1568/5 What is the second biggest value in -4, -9/10, 6526, -4/7, -1? -4/7 What is the fifth biggest value in 1/121, 0.02, 1/7, 10, -2/23? -2/23 What is the second biggest value in -1/3, 0.3486, -0.1, 0.3, 5/9? 0.3486 What is the fifth smallest value in 2/5, -3, 63/25, -168/5, -18? 63/25 What is the sixth biggest value in -3/4, 26, 4, 139/6, 1, -3, 1/4? -3/4 Which is the smallest value? (a) -17433 (b) -2/23 (c) 2 a Which is the fourth biggest value? (a) -4 (b) -15 (c) -0.1 (d) -456760.8 d What is the smallest value in 0, -7/44781, 0.1, -78? -78 Which is the second smallest value? (a) 5803 (b) -1 (c) 0.14 (d) -0.1 d What is the second biggest value in -14, 764, -3443? -14 What is the fourth smallest value in -28, -68, 0.4, -15/14? 0.4 Which is the fourth smallest value? (a) 4 (b) -2717 (c) 0.4 (d) 227 d What is the third biggest value in 9/22, -0.04183, 3, -6/5? -0.04183 What is the second smallest value in 0.3, 866729, -2? 0.3 What is the third biggest value in -5/3, 1/10, -16, -17, -1, 8? -1 Which is the second smallest value? (a) 4 (b) 24 (c) 45257 b What is the biggest value in -2/513, 149, 0.245? 149 Which is the fifth biggest value? (a) 5 (b) 2/5 (c) -5 (d) 26 (e) 0.03 (f) 0.08 e What is the smallest value in -3, 2/44319, -374, 1? -374 What is the fifth smallest value i
{ "pile_set_name": "DM Mathematics" }
2*u - 9 = u. Let o(a) = -37*a - 18. Let p be o(2). Let i = 182 + p. What is the highest common factor of i and u? 9 Let p = -427 - -840. Calculate the highest common factor of p and 91. 7 Let a(u) = 10*u - 50. Let o = -69 - -90. Let h be a(o). What is the highest common divisor of 20 and h? 20 Let r = -12456 + 21228. Calculate the greatest common divisor of 4 and r. 4 Let g(d) = -d**3 + 16*d**2 + 22*d + 40. Let f be g(12). Calculate the highest common divisor of f and 80. 80 Let u(o) = 6*o**2 + 18*o + 10. Let x be u(2). Calculate the highest common factor of 1505 and x. 35 Let c be 26/13 - (2 - 122). Suppose 5*m = c + 148. Let p be 82 + ((-2)/(-1) - 3). What is the highest common divisor of m and p? 27 Let z be 256/12 - ((-44)/(-3))/(-22). Calculate the greatest common factor of z and 1397. 11 Let o(w) be the first derivative of 10*w**2 - 22*w - 11. Let y be 5 - (200/90 - 4/18). Let b be o(y). What is the highest common divisor of b and 342? 38 Suppose -4*c + j = -155, c - 2*c + 47 = -3*j. Suppose 3*d = s + 738, 52*d + 4*s = 57*d - 1223. Calculate the highest common factor of d and c. 19 Let n = 5 - -21. Let f(r) = 5*r**2 + 21*r - 2. Let w = -5 + -1. Let u be f(w). What is the greatest common factor of n and u? 26 Suppose 18*l = 96 - 24. Suppose 3*k - 5*s = -8*s + 9, -2*k + l*s + 12 = 0. What is the highest common divisor of 68 and k? 4 Suppose -3*k = -y - 0*y - 146, 0 = 5*k - 20. Let h = 334 - y. What is the highest common factor of 52 and h? 52 Let v(j) = 20575*j**3 - 5*j**2 + 16*j - 14. Let a be v(1). Calculate the highest common divisor of 148 and a. 148 Suppose 42106 = 5*p - 3*f - 25073, 4*p + 3*f = 53781. What is the greatest common divisor of 80 and p? 80 Let j be (20/6)/((-4)/96). Let d be j/(-50) - 4/(-10). Suppose -4*b - p + 47 = -b, d*p = -b + 14. Calculate the highest common divisor of 16 and b. 16 Let l(r) = -305*r + 4106. Let i be l(13). Let k(v) = v - 3. Let y be k(6). What is the highest common divisor of y and i? 3 Let h = -2504 + 2512. Let d(f) = -f**2 + 7*f - 2. Let y be d(6). Calculate the greatest common divisor of h and y. 4 Let m be 6/(15/12 - 1). Suppose -42*j = -67*j + 10200. Calculate the greatest common factor of j and m. 24 Suppose 0 = -15*r - 13*r + 10434 + 3930. Calculate the greatest common factor of 912 and r. 57 Suppose -2*v = 10, -41*i + 46*i + 5*v - 20315 = 0. Calculate the highest common divisor of 36 and i. 36 Let i(h) = 4*h**3 + 38*h**2 + 25*h - 21. Let c be i(-18). Let z be c/(-77) - 6/33. Let u = z - -35. What is the highest common factor of u and 23? 23 Suppose -5*v + 9*f + 35 = 4*f, 4*f + 30 = 5*v. Suppose -v*u + 0*k = -4*k - 116, 0 = -5*u - 3*k + 290. What is the highest common divisor of 145 and u? 29 Suppose -9*x + 147 = 21. Suppose 0 = -x*w + 15*w - 15. Let d be ((-147)/(-6) - 2)*(6 - 4). What is the greatest common factor of w and d? 15 Let x be (-9)/(-4) - 7/28. Suppose 0 = 4*p + 2*v - 252, -2*v - 51 - 75 = -x*p. What is the greatest common factor of 84 and p? 21 Suppose 0 = -11*i + 1606 - 176. Let o = i - 118. Calculate the greatest common divisor of 3 and o. 3 Suppose 358*i = 292111 + 12189. Calculate the highest common divisor of i and 935. 85 Let v = -33225 - -39705. Calculate the greatest common factor of v and 20. 20 Let s = -4581 - -4691. Calculate the highest common factor of s and 484. 22 Let l(a) = 13*a**2 + 422*a + 87. Let g be l(-35). Calculate the greatest common factor of g and 234. 18 Suppose 0 = -9*s - 3*s - 72. Let g be s + 3/((-3)/(-31)). What is the greatest common factor of g and 175? 25 Suppose 3*n = n + 110. Suppose 11*z - 505 = -3*r, 11*z - 192 = 6*z + 4*r. Calculate the greatest common divisor of n and z. 11 Suppose -4*v = -k - 9*v + 101, -3*v = -3*k + 393. Let q be (-18)/12*496/(-12). Suppose -140 = -q*s + 52*s. What is the highest common factor of s and k? 14 Let u = -37 + 42. Let k = 33 + u. What is the highest common factor of k and 190? 38 Let n = 124 + 119. Let q = 257 - n. What is the greatest common factor of 70 and q? 14 Suppose -5*y - 2*z = -23, -36*z + 33*z = 3*y - 12. Suppose -317 + 257 = -y*d. Calculate the greatest common factor of 6 and d. 6 Let p be 9/(-11) + (-4)/22. Let a(j) = -6*j + 12. Let g be a(p). Calculate the highest common divisor of 171 and g. 9 Let k = 58 + 5787. Calculate the greatest common divisor of k and 5. 5 Let n = 447 - 441. Suppose -504 = -3*v - 4*y, -n*y + 672 = 4*v - 4*y. Calculate the greatest common divisor of 48 and v. 24 Let m be 6/(-84) - 6141/(-322). Calculate the greatest common divisor of m and 13661. 19 Let r = -145 + 145. Suppose r = -3*u - 4*u + 399. Suppose 4*y - 78 = 2*m, -5*y + 99 = -0*y - 4*m. What is the greatest common factor of y and u? 19 Let x be 3 - -20*(-26)/(-65). Calculate the highest common divisor of 7117 and x. 11 Let u = -2044 + 2110. Let g = 48 - -117. Suppose 3*p + 97 = s - 68, s + 4*p - g = 0. What is the greatest common divisor of s and u? 33 Let r = 13 + 35. Suppose 2*x = -3*u + 1018, -3*x = 2*u + x - 692. Suppose 3*c - u = -4*c. Calculate the greatest common divisor of c and r. 48 Let g = 4 + -1. Let p(v) = -1098*v - 4392. Let d be p(-4). Suppose g*l - 7 - 12 = -m, -5*m - 10 = d. What is the highest common divisor of l and 7? 7 Let w be 4 - (-2 + 14*2/4). Let m(o) = -22*o**3 + 2*o**2 - 2*o - 2. Let v be m(w). What is the highest common divisor of v and 36? 12 Suppose 50 = -2*b - 50. Let o be (-8)/(-6) - b/(-6). Let f(p) = -p**3 - 8*p**2 - 9*p. Let g be f(o). Calculate the highest common divisor of g and 154. 14 Let k be 697/(-68)*(1 - (-2 - -27)). Let d = k + -212. What is the highest common factor of 34 and d? 34 Let d = -68 - -248. Let y(a) = 153*a - 3173. Let f be y(21). What is the greatest common divisor of f and d? 20 Let p(a) = a**3 + 32*a**2 + 133*a - 208. Let f be p(-26). Calculate the highest common divisor of f and 650. 130 Let j(h) = 2*h**2 + 6*h - 3. Let s be j(-8). Suppose 0 = 5*u - 59 - 641. Suppose 0 = -109*i + 129*i - u. What is the highest common divisor of i and s? 7 Suppose 5 = 2*n - 1. Calculate the highest common factor of 111 and n. 3 Suppose 254*y = 162*y + 3312. What is the highest common divisor of 5004 and y? 36 Let y be 777/2 - (-9)/(-12)*4/6. Calculate the greatest common factor of 40 and y. 4 Suppose 4*k - 56 = -5*r, -2*k + 4*r + r - 2 = 0. Suppose 13*q - 5*q - 1728 = 0. Calculate the highest common divisor of k and q. 9 Let q(p) = -p**3 + 82*p**2 - 6*p + 482. Let x be q(82). Let i = 45 - 12. Let b = x + i. What is the greatest common factor of 115 and b? 23 Suppose 7*d - 5*d - 4*j - 2 = 0, -d - 2*j = -5. Suppose -4*n = 5*u - 214, -59 = 2*n - d*n - 4*u. Let y = -44 + 95. What is the highest common factor of n and y? 51 Let s(d) = -4*d**2 + d. Let x be s(4). Let b = 63 + x. Calculate the greatest common divisor of 11 and b. 1 Suppose -914 = -4*h + 2892 + 1670. What is the greatest common factor of 111 and h? 37 Let v be 14/63 + (-106)/(-9). Let t be -1*(-44 + (-6)/1). Suppose -5*b + 56 = -4*j + 2*j, -5*b + 5*j = -t. What is the highest common factor of b and v? 12 Suppose 652*a - 27 = 651*a. Let d be 2*16*(-36)/(-4). Let o be (-1*3)/((-4)/d). Calculate the highest common factor of a and o. 27 Let l(b) be the first derivative of b**3/3 - 17*b**2 + 191*b - 90. Let i be l(27). Let x = 97 - 59. Calculate the highest common factor of x and i. 2 Let f be (-1709639)/(-670) + (-3)/(-20)*2. What is the greatest common factor of f and 132? 44 Let r(l) = 110*l - 4493. Let p be r(41). Suppose -393 = -5*k + 2*k - 3*n, 3*n = -k + 121. Calculate the greatest common divisor of k and p. 17 Let h = 9193 - 9113. Calculate the greatest common factor of 528 and h. 16 Let k(t) = 2*t**3 - 53*t**2 + 61. Let g be k(28). Calculate the highest common divisor of 152 and g. 19 Let p(n) = -124*n + 742. Let q be p(-50). Calculate the greatest common factor of q and 39. 39 Let w = -23 + 25. Suppose a = -w*o + 3*o - 7, -3*a = 0. Suppose -3*b - 14 = -4*q, -2*b = 5*q - 0*b - 6. What is the highest common factor of q and o? 1 Suppose -19*q + 4*a + 3922 = -16*q, 4*q = 4*a + 5224. What is the highest common factor of q and 336? 42 Let y(m) be the third derivative of -m**5/30 - 5*m**4/3 + 32*m**3/3 + 92*m**2. Let v be y(-20). What is the highest common divisor of v and 48? 16 Let w(j) = -j**3 - 12*j**2 +
{ "pile_set_name": "DM Mathematics" }
acement from rvrvsrvrrvs? 4/165 What is prob of sequence www when three letters picked without replacement from nsxwsxwsnxxxnwxsw? 1/170 Two letters picked without replacement from nunnnvvlnnnkkvnnvln. Give prob of sequence ln. 10/171 What is prob of sequence lhv when three letters picked without replacement from {l: 1, r: 7, v: 1, w: 3, h: 7, p: 1}? 7/6840 What is prob of sequence hqq when three letters picked without replacement from {q: 6, h: 13}? 65/969 Calculate prob of sequence ho when two letters picked without replacement from hioda. 1/20 Two letters picked without replacement from yfyyyylfffyffyfffyfy. Give prob of sequence yy. 18/95 Calculate prob of sequence tdtt when four letters picked without replacement from ddtdddttddttd. 4/143 What is prob of sequence aze when three letters picked without replacement from {e: 1, z: 1, g: 2, t: 1, a: 8, i: 2}? 4/1365 What is prob of sequence gtqf when four letters picked without replacement from {f: 6, q: 1, t: 1, g: 1}? 1/504 Three letters picked without replacement from blkyzay. What is prob of sequence yyk? 1/105 Four letters picked without replacement from gguugzzzzzgzg. Give prob of sequence gzgu. 2/143 Two letters picked without replacement from {n: 9, u: 1, j: 1, o: 2}. Give prob of sequence jn. 3/52 What is prob of sequence vqvv when four letters picked without replacement from {q: 7, v: 12}? 385/3876 Three letters picked without replacement from {z: 3, k: 7}. Give prob of sequence kzk. 7/40 What is prob of sequence bc when two letters picked without replacement from cibmf? 1/20 Three letters picked without replacement from {k: 4, j: 1, w: 1, h: 4, b: 5}. Give prob of sequence bbh. 8/273 Calculate prob of sequence iis when three letters picked without replacement from ooioiiiisoo. 2/99 Two letters picked without replacement from jjjjjjwjwwjjjjjjjj. What is prob of sequence jw? 5/34 Three letters picked without replacement from {n: 3, f: 3}. What is prob of sequence fff? 1/20 Four letters picked without replacement from {q: 6, k: 7, i: 6}. What is prob of sequence kqik? 21/1292 Three letters picked without replacement from rttf. What is prob of sequence rft? 1/12 Calculate prob of sequence iv when two letters picked without replacement from {c: 3, n: 1, s: 1, v: 5, i: 2}. 5/66 Three letters picked without replacement from {p: 3, j: 13}. What is prob of sequence ppj? 13/560 Two letters picked without replacement from ihrezhmiizzimr. What is prob of sequence zr? 3/91 Calculate prob of sequence bbzb when four letters picked without replacement from zzaabaadddaadaaq. 0 Calculate prob of sequence bb when two letters picked without replacement from {b: 2, f: 2}. 1/6 Three letters picked without replacement from sususssss. Give prob of sequence sss. 5/12 Three letters picked without replacement from {f: 4, d: 15}. What is prob of sequence dfd? 140/969 Three letters picked without replacement from lwljwlulo. What is prob of sequence wuo? 1/252 Four letters picked without replacement from {p: 2, z: 2, c: 2}. Give prob of sequence cpzp. 1/45 Two letters picked without replacement from {k: 1, d: 1, j: 1}. Give prob of sequence dj. 1/6 Three letters picked without replacement from ylll. Give prob of sequence lly. 1/4 Two letters picked without replacement from nigdgwc. What is prob of sequence dw? 1/42 What is prob of sequence ff when two letters picked without replacement from {l: 10, f: 4}? 6/91 Two letters picked without replacement from {b: 1, j: 2, l: 2}. Give prob of sequence jl. 1/5 Three letters picked without replacement from uuuu. What is prob of sequence uuu? 1 Two letters picked without replacement from lldlldlldll. What is prob of sequence ll? 28/55 Three letters picked without replacement from jjxxjjxjjjxjxj. What is prob of sequence jjx? 15/91 Calculate prob of sequence kyy when three letters picked without replacement from yyyyykyyyykk. 9/55 Two letters picked without replacement from otxzxnxomxtn. Give prob of sequence nn. 1/66 What is prob of sequence dy when two letters picked without replacement from {y: 1, i: 1, d: 2, v: 1}? 1/10 Two letters picked without replacement from {q: 3, k: 2, p: 1, a: 5, x: 6}. Give prob of sequence kk. 1/136 What is prob of sequence ccr when three letters picked without replacement from omorgggjgccc? 1/220 What is prob of sequence hh when two letters picked without replacement from zzohozzozzoozh? 1/91 Four letters picked without replacement from {e: 6}. What is prob of sequence eeee? 1 Three letters picked without replacement from eeeccceece. Give prob of sequence eee. 1/6 Two letters picked without replacement from vtoobtba. What is prob of sequence ao? 1/28 Calculate prob of sequence lk when two letters picked without replacement from wkkwwkwkklklk. 7/78 What is prob of sequence jomd when four letters picked without replacement from {d: 3, m: 4, o: 12, j: 1}? 2/1615 Three letters picked without replacement from zzwpzzwzpzz. What is prob of sequence pzp? 7/495 What is prob of sequence uuu when three letters picked without replacement from uzuuuuuzzzuuz? 28/143 Three letters picked without replacement from nppicau. What is prob of sequence npi? 1/105 Two letters picked without replacement from zldzz. What is prob of sequence lz? 3/20 Calculate prob of sequence ocb when three letters picked without replacement from xsbsxxxxooocxco. 4/1365 Four letters picked without replacement from poppoppppp. What is prob of sequence popo? 1/45 What is prob of sequence tt when two letters picked without replacement from {t: 2, d: 4}? 1/15 Three letters picked without replacement from {m: 1, j: 2, w: 2, o: 4, r: 1}. What is prob of sequence roo? 1/60 What is prob of sequence kv when two letters picked without replacement from vazky? 1/20 Three letters picked without replacement from {y: 4, m: 4, j: 6, t: 1}. Give prob of sequence ymt. 8/1365 What is prob of sequence dddd when four letters picked without replacement from {o: 1, d: 7}? 1/2 Two letters picked without replacement from ttkyttkkkyktt. What is prob of sequence yk? 5/78 Calculate prob of sequence jel when three letters picked without replacement from {e: 4, l: 4, j: 2}. 2/45 What is prob of sequence af when two letters picked without replacement from nfaf? 1/6 Two letters picked without replacement from {v: 1, u: 14}. What is prob of sequence vu? 1/15 Calculate prob of sequence kj when two letters picked without replacement from gkgjjjjg. 1/14 Three letters picked without replacement from jgbtjbjgbbjjtgtt. What is prob of sequence jbj? 1/42 What is prob of sequence nnp when three letters picked without replacement from {p: 4, n: 2}? 1/15 Three letters picked without replacement from nhyhnyyhihhnghy. What is prob of sequence nng? 1/455 What is prob of sequence rr when two letters picked without replacement from {e: 3, r: 2, q: 1, f: 3, x: 1, n: 1}? 1/55 Two letters picked without replacement from {q: 1, b: 1, y: 1, j: 2}. Give prob of sequence qb. 1/20 What is prob of sequence md when two letters picked without replacement from {f: 1, i: 7, q: 1, d: 5, m: 5, s: 1}? 5/76 Two letters picked without replacement from gwgwhh. Give prob of sequence hw. 2/15 What is prob of sequence els when three letters picked without replacement from {e: 2, s: 1, a: 2, r: 1, l: 1}? 1/105 Four letters picked without replacement from mmmssfs. What is prob of sequence sfmm? 3/140 What is prob of sequence uuuc when four letters picked without replacement from cccccucccucuuc? 10/1001 Calculate prob of sequence fvfv when four letters picked without replacement from wggvvrwfgffg. 1/990 What is prob of sequence ao when two letters picked without replacement from {a: 2, o: 1, q: 1}? 1/6 Calculate prob of sequence cl when two letters picked without replacement from {c: 2, v: 6, u: 1, l: 2, e: 3}. 2/91 What is prob of sequence xln when three letters picked without replacement from qqqxlnlqnxn? 2/165 Three letters picked without replacement from ggggggg. Give prob of sequence ggg. 1 What is prob of sequence mmmo when four letters picked without replacement from {o: 2, m: 5}? 1/7 Four letters picked without replacement from iririiziiiz. What is prob of sequence rriz? 7/1980 Four letters picked without replacement from zzzqziddzjbjddj. Gi
{ "pile_set_name": "DM Mathematics" }
). Let t(g) = -3*g**3 - 3*g**2 + 1. What is t(a)? 13 Let q(c) = 3*c + 1. Let b(s) = 2*s**2 + 15*s + 4. Let l(p) = -b(p) + 5*q(p). Give l(-3). -17 Let n be 4 + (17 - 9 - 1*4). Let w(x) = -x**2 + 11*x - 7. Determine w(n). 17 Suppose 0 = -5*k - n + 9, -4*k + 0*n + 5*n = -13. Let h(t) = 7*t + 1. Let y(w) = -16*w - 2. Let l(x) = 5*h(x) + 2*y(x). Calculate l(k). 7 Let n(m) = -m - 3. Suppose -3*b + 31 = -4*j, -3*b + 7 = -j - 3. Let k be j + (3 - 3 - -1). Calculate n(k). 3 Let p(s) be the third derivative of -s**4/12 - s**3 - s**2 - 28*s. Determine p(-4). 2 Let s(l) = -l**2 + 11*l - 41. Let x(r) = -2*r**2 + 23*r - 82. Let y(d) = 7*s(d) - 4*x(d). Calculate y(3). 5 Let k(s) = -s - 11. Let i(r) = 1. Let d(o) = i(o) + k(o). What is d(-8)? -2 Let g(v) be the second derivative of -v**4/12 + 7*v**3/6 + 2*v**2 + 16*v + 3. What is g(11)? -40 Let i = -217 + 222. Let l(j) = -j - 4. Give l(i). -9 Let h(k) = k**2 + k + 4. Let o be h(0). Let w = 11 - 9. Suppose -3*m - o*b - 8 = 1, m + 3*b = w. Let p(r) = r**3 + 6*r**2 - 7*r + 9. Determine p(m). 9 Let l(u) = u**2. Let t be l(3). Suppose -6*b = -5*b + t. Let w be b*4*(-4)/(-48). Let g(x) = -x**3 - 2*x**2 + 2*x - 4. Determine g(w). -1 Let u(q) = -q**2 + 5*q + 2 + 4*q**2 + 5*q**3 - 5*q**2 - 14*q. Let w(g) = -6*g**3 + 2*g**2 + 10*g - 2. Let a(s) = -5*u(s) - 4*w(s). Determine a(4). -14 Let x(v) = v - 15*v**2 + 2*v**2 - 1 + v**3 - 5. Determine x(13). 7 Let u be 3/(9/(-4))*-3. Suppose -2*x = 10, -4*x - 26 = u*c + 10. Let o(a) = -2*a - 1. Determine o(c). 7 Let t = 1975 + -1972. Let j(d) = d**2 - d + 4. Determine j(t). 10 Let v(u) = -117*u - 583. Let l be v(-5). Let s(d) = d + d - 4*d + 5*d. Calculate s(l). 6 Suppose -48 + 41 = -c. Let h(t) = 1 + c + 6 - 12 - t. Determine h(6). -4 Let c(z) = 0*z**3 - z**2 + 15*z**2 - 4 - z**3 + 0*z**2 + z. Give c(14). 10 Let u(n) be the second derivative of -n**5/10 + n**4/6 + n**3/3 - n**2 + 17*n. What is u(2)? -6 Let z(c) = 7*c + 59. Suppose 0 = -p + 2*k - 5 - 0, 4*p - 5*k = -26. Determine z(p). -4 Let y(p) be the second derivative of -p**6/120 + p**5/60 + p**4/24 - 7*p**3/6 + 3*p**2 - p. Let u(n) be the first derivative of y(n). Give u(0). -7 Let l(m) = -m**2 + 14 - m - 19 + m. Let z(w) = w**2 + 10*w + 9. Let x be z(-9). Give l(x). -5 Let n(o) = o**2 - 2. Let l(r) = -r**2 - 7*r - 36. Let k be l(-11). Let v = k - -76. Give n(v). 14 Let h(y) = y**3 + y**2 + y - 9. Suppose 5*d + 196 = -9*d. Let q be 0*(3 - d/(-4)). What is h(q)? -9 Let h = 5 + 1. Suppose -4*l = 2 + h. Let p(x) be the second derivative of x**5/10 + x**4/6 - x**3/3 - 14*x + 1. Determine p(l). -4 Let h be 7/5 - 8/20. Let n(b) = 7*b - 1. Let d be n(h). Let l(q) = -4*q**2 - 11*q + 1. Let t(j) = 5*j**2 + 12*j - 2. Let r(i) = -6*l(i) - 5*t(i). Give r(d). 4 Suppose -2*h - 19 = -4*n - 1, -5 = 5*h - 2*n. Suppose -z - 2 = h. Let t(x) = -6*x + 1 + 3*x - 2*x + 3*x. Determine t(z). 7 Let c(j) = j**2 + 12*j + 3. Let m be (3 + 66/(-12))*4. Calculate c(m). -17 Let t(a) = a**3 + 5*a**2 + a - 4. Suppose 5*s + 4*l = 6*s - 18, 4*s - 12 = 4*l. What is t(s)? 6 Let r(g) = g**3 - g**2 - 4*g + 3. Let v = -15 + 17. Calculate r(v). -1 Let r(f) = -f**3 - f**2 - 1. Suppose -2*p + 5*l = 2, 3*p + 2*p = 2*l - 5. Calculate r(p). -1 Let l(a) = -3*a - 15. Suppose -j + 4 = 0, -v - 3*j + 15 = -2. Let w(y) = -2*y - 8. Let c(n) = v*w(n) - 3*l(n). What is c(5)? 0 Let b = 41 - 4. Let c(r) = r**3 - 35*r**2 + 2 - 4*r - b*r**2 + 69*r**2. Give c(4). 2 Let h(j) = j**2 - 3 - j + 0*j**2 - 8*j + 12*j. Calculate h(3). 15 Suppose -12*l - 2 = -62. Let t(n) = 6*n**2 - 6*n + 11. Let y(j) = 7*j**2 - 7*j + 10. Let q(p) = l*y(p) - 6*t(p). Determine q(0). -16 Suppose 3*b + b = 2*s + 8, -4*s - 8 = -4*b. Suppose -36 = -4*x + 5*z, 4*x + 0*z + 4*z = 0. Let j(o) = -2*o**2 + 0*o - 2*o + x*o. Determine j(b). -4 Suppose -2*j + 8 + 2 = 0. Suppose -j*c + 4 = -1. Let z(a) = 7 - 2 - a - c. Calculate z(7). -3 Let d(p) = 1. Let t(w) = 6*w**2 - 5. Let b(a) = a**2 - 2*a + 1. Let h be b(6). Suppose -h = -5*r + 5. Let m(s) = r*d(s) + t(s). What is m(-1)? 7 Let q(h) = -h**3 - 29*h**2 - 28*h. Let g be q(-28). Let j(v) be the first derivative of g*v + 1/2*v**2 - 2. What is j(1)? 1 Let g(a) = -a**3 - 2*a - 7*a**2 - 3*a - 1 - 3. Suppose -38 - 61 = 11*w. Let i(l) = -4*l**3 - 29*l**2 - 20*l - 17. Let j(k) = w*g(k) + 2*i(k). Give j(-3). 5 Suppose -r - y - y = -5, -5*y = -20. Let b(c) = c - 1. Give b(r). -4 Let b be -1 - (1 - 2)/((-12)/24). Let g = -2 + 2. Let q(u) = 0 + g + 2 + 4*u + 2. What is q(b)? -8 Let a(j) = 50*j**2 + 21*j - 8. Let p(l) = -63*l**2 - 21*l + 7. Let f(v) = -5*a(v) - 4*p(v). What is f(9)? -15 Let b(z) = z**2 + 7*z + 9. Let i be b(-6). Suppose -i*u - 9 = -6*u - a, -3*a = 2*u - 6. Let l(j) = j. Give l(u). 3 Suppose -29 - 35 = -4*u. Let n be 1*2 - (u + -16). Let l(d) = -2*d**2 + d - 1. Give l(n). -7 Let q(n) = -14*n**2 + 3. Let v(g) = -g**2 + 1. Let m(h) = -q(h) + 3*v(h). Calculate m(1). 11 Let f(q) = q**3 + 2*q**2 + 2*q + 2. Let p be ((-5)/15*2)/(8/36). Let b = p + 1. Give f(b). -2 Let f(j) = -j**2 + 6*j - 3. Suppose 6 - 10 = 2*r - 5*d, -5*d = -4*r + 2. Determine f(r). 6 Let w(p) = -p**3 + 9*p**2 - 9*p - 1. Suppose c - 5 = 0, 11*d - 25 = 6*d - 4*c. Let m be 24*(0 + d/3). What is w(m)? -9 Let n(d) = -24*d. Let a = 122 - 152. Let q be a/105 + (-18)/(-14). Determine n(q). -24 Let p(z) = -5*z - 2*z**2 + z**2 + 3*z. Let o be (-96)/40 - (21/(-35))/(3/(-3)). Determine p(o). -3 Let q = -4 + 4. Let b be (5 - q) + (-27)/9. Let n(c) = -6*c - 2 - c**b + 2 + c - 3. What is n(-5)? -3 Let w be ((-65)/15)/((-3)/9). Let g = -11 + w. Let v be (-3)/(-1) - (-4)/g. Let z(f) = -3*f + 6. What is z(v)? -9 Let r(k) = 1. Let g(v) = v - 5. Let c(a) = g(a) - 2*r(a). Let t(p) = 283*p - 558. Let s be t(2). Determine c(s). 1 Let n(l) = -l**2 - l - 7. Let q = 18 - 13. Suppose -3*w = q*r, 0 = -w - 0*r + 4*r. Give n(w). -7 Let c be 7 + (-5 + -5)/10. Let y(z) be the third derivative of 0 - 7/6*z**3 + 7/24*z**4 - 1/60*z**5 + 0*z + 2*z**2. What is y(c)? -1 Suppose 0 = 2*w - 0*w. Let y = -109 + 111. Let d(r) = -2*r + r**2 - 6*r**y + 1 + w*r**2. Determine d(1). -6 Suppose 2*y + 0 - 6 = 0. Let v = y + -5. Let l(x) = 7*x**2 - 6*x - 4. Let c(g) = 20*g**2 - 17*g - 11. Let k(s) = 6*c(s) - 17*l(s). Give k(v). 6 Let g(z) = -z**3 - 1 - 5*z + 4*z**2 + 2*z**2 + 0*z**2. Let h(o) = -1021*o - 4079. Let x be h(-4). What is g(x)? -1 Let g(a) = -2*a**2 - 4*a + 1. Let m = -304 - -301. Determine g(m). -5 Suppose 0 = -2*q + 7*q - 50. Suppose -o - q = -6*o. Suppose -4*h + 12 = 4*k, 0 = -0*k - k - o*h + 8. Let r(b) = b**3 - 2*b**2 - 4*b - 3. Give r(k). -11 Let c(d) be the first derivative of -d**4/4 - d**3 + 3*d**2/2 - 5*d - 1. Let v be ((-8)/(-12))/((-3)/(-18)). Suppose 4*t + v + 12 = 0. Determine c(t). -1 Let y(b) = 5*b - 7 + 16 - 1 + b - 9. What is y(-5)? -31 Let d = 2 - -19. Let u be (9/d)/((-4)/(-28)). Let z(k) be the first derivative of k**4/4 - k**3/3 - 3*k**2/2 - 2*k + 1. Calculate z(u). 7 Let x(s) = s**3 + 19*s**2 + 16*s - 38. Let f be ((-1092)/455)/((-34)/(-30) - 1). Determine x(f). -2 Let z(y) be the first derivative of -y**3/3 - 5*y**2/2 + y - 59. Calculate z(-4). 5 Let q(p) be the second derivative of -p**3/6 - 5*p**2/2 - 116*p. Determine q(7). -12 Let s(l) = 4*l - 58. Let u be s(13). Let x(r) = r**2 + 10*r + 9. What is x(u)? -15 Let a(z) = z**2 + 3*z. Let r = -15 - -20. Suppose 0 = 2*x + r*j + 21, 3*j + 6 = x - 0*x. What is a(x)? 0 Let y(q) = -q**3 - 6*q**2 - 8*q - 3. Let h(d) = d**3 - 10*d**2 + 24*d - 5. Let a be h(6). Determine y(a). 12 Let s = 30 + -28. Let m(d) = -2 + 2*d**2 - 1 + 3*d - 3*d**s - 5*d. Calculate m(-3). -6 Let a(q) be the first derivative of -q**4/4 + 4*q**3/3 - q**2 + 5*q + 31. Determine a(4). -3 Let q = -1 - -4. Let g(a) = -8*a + 9. Let k(b) = -15*b + 17. Let t(u) = q*k(u) - 5*g(u). Let i(x) = 3*x + 34. Let z be i(-10). What is t(z)? -14 Let n(a) = -4 + 1 - a + 1. Suppose -k = 3*b, 2*k - b - 90 + 83 = 0. Give n(k). -5 Let b = -2 + 5. Let f(q) be the second derivative of -q**4/12 + q**3/2 - q**2 + 2005*q. Determine f(b). -2 Let p(h) = -h - 2. Let n(k) = -7*k + 6. Let d(m) = -n(m) - 4*p(m). What is d(2)? 24 Let z(y) = -y**3 + 5*y**2 + 9*y - 18. Let c be z(6). Let h(m) be the third derivative of -1/6*m**3 - 1/8*m**4 + 0*m + 3*m**2 + c. Determine h(1). -4 Suppose -20 = 4*h - 0. Let y(c) = -9*c - 8. Let s(g) = -11*g
{ "pile_set_name": "DM Mathematics" }
9168. 4*(c + 32292)*(4*c - 1) Factor 3*b**4 - 204*b**3 + 4023*b**2 - 27534*b + 40560. 3*(b - 40)*(b - 13)**2*(b - 2) Determine t so that 2*t**5/15 - 8*t**4/3 + 4*t**3/3 + 64*t**2/3 + 82*t/3 + 152/15 = 0. -1, 4, 19 Find o such that 2*o**5 - 124*o**4 + 964*o**3 - 344*o**2 - 10038*o + 9540 = 0. -3, 1, 5, 6, 53 Determine v, given that v**3/4 - 3409*v**2/4 + 6815*v/4 - 3407/4 = 0. 1, 3407 Factor -a**5/2 - 3*a**4/2 + 5*a**3. -a**3*(a - 2)*(a + 5)/2 Factor 2*f**3/9 + 8770*f**2/9 + 8768*f/9. 2*f*(f + 1)*(f + 4384)/9 Determine v so that v**5 + 41*v**4 - 993*v**3 - 20281*v**2 - 70352*v + 91584 = 0. -53, -8, 1, 27 Factor 3*q**2 - 30*q - 3813. 3*(q - 41)*(q + 31) Let u**5 + 998*u**4 - 82775*u**3 = 0. What is u? -1075, 0, 77 Factor 3*x**3 + 9024*x**2 + 7396839*x + 896919318. 3*(x + 146)*(x + 1431)**2 Find h, given that -2*h**2 - 2078*h - 34748 = 0. -1022, -17 Let -4*z**3 - 484*z**2 - 13912*z = 0. What is z? -74, -47, 0 Solve -5*q**3 + 5504445*q**2 - 11008875*q + 5504435 = 0 for q. 1, 1100887 Factor -5*q**2 - 70720*q - 70715. -5*(q + 1)*(q + 14143) Factor 5*z**3 - 16279*z**2 + 13248664*z + 2650384. (z - 1628)**2*(5*z + 1) Determine s, given that 5*s**2 - 228845*s - 228850 = 0. -1, 45770 Suppose -7447750*b**4 - 87354900*b**3 + 24034920*b**2 - 2181872*b + 65856 = 0. What is b? -12, 14/155 Factor z**3 + 2258*z**2 + 2257*z. z*(z + 1)*(z + 2257) Suppose -2499*o**3/4 - 3885*o**2/8 + 4479*o/4 - 75/8 = 0. What is o? -25/14, 1/119, 1 Let 2*v**4/3 + 4172*v**3/3 - 12530*v**2/3 + 8356*v/3 = 0. What is v? -2089, 0, 1, 2 Find m such that -5*m**2 + 10920*m - 21820 = 0. 2, 2182 Solve -194*i**2/3 - 112*i/3 + 184 = 0 for i. -2, 138/97 Factor 3*a**3/5 + 47886*a**2/5 + 57447*a + 430812/5. 3*(a + 3)**2*(a + 15956)/5 Factor 2*r**2/7 + 20800*r/7 + 54080000/7. 2*(r + 5200)**2/7 Solve 2*b**3/3 + 103712*b**2/3 + 448139550*b - 896417388 = 0 for b. -25929, 2 Solve -3*n**3/4 + 12195*n**2/2 - 12276504*n - 475353096 = 0. -38, 4084 Suppose 2*n**5/17 + 50*n**4/17 + 226*n**3/17 - 1058*n**2/17 + 780*n/17 = 0. What is n? -15, -13, 0, 1, 2 Factor 2*o**3/3 - 100*o**2/3 + 818*o/3 - 240. 2*(o - 40)*(o - 9)*(o - 1)/3 Factor -38*t**2/5 - 704*t/5 - 72. -2*(t + 18)*(19*t + 10)/5 Suppose -48*v**5 + 1128*v**4 - 2379*v**3 - 3231*v**2 + 5427*v + 5103 = 0. What is v? -1, 9/4, 21 Determine m, given that -m**5/2 + 8*m**4 - 5*m**3 - 198*m**2 - 693*m/2 - 162 = 0. -3, -1, 9, 12 Solve -h**5/4 + 170*h**4 - 59451*h**3/2 + 276713*h**2 + 2573135*h/4 + 336675 = 0. -1, 12, 335 Find w, given that 5*w**3/4 + 187*w**2/4 - 733*w/2 - 154 = 0. -44, -2/5, 7 Let 2*q**4/9 - 6*q**3 + 112*q**2/3 - 184*q/9 - 64 = 0. What is q? -1, 2, 8, 18 Let -2*s**4 + 264*s**3 - 8566*s**2 - 8832*s = 0. Calculate s. -1, 0, 64, 69 Factor a**2/2 - 35*a/2 - 33000. (a - 275)*(a + 240)/2 Determine a, given that -4*a**2/3 + 5347576*a/3 - 1787285567236/3 = 0. 668447 Solve -375*x**4 + 1388925*x**3 - 2499255*x**2 + 1499391*x - 299862 = 0. 3/5, 3702 Solve 1735*v**2 + 3500*v + 60 = 0. -2, -6/347 Factor -h**2/3 - 8326*h/3. -h*(h + 8326)/3 Solve -q**5/3 - 262*q**4 + 23485*q**3/3 - 121966*q**2/3 + 77092*q - 149960/3 = 0 for q. -815, 2, 23 Factor -h**2/9 - 3302*h/9 + 6608/9. -(h - 2)*(h + 3304)/9 Factor -23*v**3/2 + 22*v**2 - 19*v/2 - 1. -(v - 1)**2*(23*v + 2)/2 Factor -10*r**2/7 + 162646*r/7 + 65060/7. -2*(r - 16265)*(5*r + 2)/7 Solve -4*t**3 + 24224*t**2 - 145236*t + 217800 = 0. 3, 6050 Factor s**4 + 541*s**3 + 10488*s**2 + 35492*s + 33344. (s + 2)**2*(s + 16)*(s + 521) Suppose 2*d**2/5 - 316*d + 6288/5 = 0. What is d? 4, 786 Let 2*t**2/21 + 116*t/21 - 912/7 = 0. What is t? -76, 18 Factor n**4 - 1787*n**3 + 3567*n**2 + 5355*n. n*(n - 1785)*(n - 3)*(n + 1) Let 3*j**4/2 - 189*j**3/4 + 480*j**2 - 1476*j - 864 = 0. What is j? -1/2, 8, 12 Solve 2*n**4/7 + 822*n**3/7 - 25320*n**2/7 + 88000*n/7 = 0. -440, 0, 4, 25 Solve 2*s**2 - 404558*s = 0 for s. 0, 202279 Factor 3*q**2 + 178713*q. 3*q*(q + 59571) Solve 2*u**2/5 - 612*u/5 + 7618/5 = 0 for u. 13, 293 Solve u**3 + 7551*u**2 + 15099*u + 7549 = 0 for u. -7549, -1 Find d such that -d**2 - 54412*d - 740166436 = 0. -27206 Factor -4*x**2 - 1508*x + 20280. -4*(x - 13)*(x + 390) Find h, given that 4*h**4/5 + 116*h**3/5 + 112*h**2/5 = 0. -28, -1, 0 Determine s, given that 2*s**3 + 492*s**2 - 992*s = 0. -248, 0, 2 What is j in -5*j**3 - 4610*j**2 + 9255*j + 13860 = 0? -924, -1, 3 Factor -2*n**3/11 + 12524*n**2/11 - 19505746*n/11 - 315306272/11. -2*(n - 3139)**2*(n + 16)/11 Factor 2*f**2 - 5462*f - 5464. 2*(f - 2732)*(f + 1) Suppose g**5/5 + 5*g**4 - 226*g**3/5 - 2392*g**2/5 - 3168*g/5 + 1152 = 0. Calculate g. -30, -4, 1, 12 Factor -2*w**4/13 + 730*w**3/13 - 66528*w**2/13 - 2363904*w/13 + 400121856/13. -2*(w - 144)**3*(w + 67)/13 Solve 28227*y**3 - 29100*y**2 + 7500*y = 0. 0, 50/97 Factor 2*n**3/9 - 2486*n**2/9 - 2*n/9 + 2486/9. 2*(n - 1243)*(n - 1)*(n + 1)/9 Determine d, given that -14*d**5 + 704*d**4 - 2202*d**3 + 1888*d**2 - 376*d = 0. 0, 2/7, 1, 2, 47 Find v, given that -v**3/10 - 531*v**2/5 + 7227*v/2 = 0. -1095, 0, 33 Find o such that -o**4/12 - 1907*o**3/6 - 3644269*o**2/12 - 1210945*o - 1209675 = 0. -1905, -2 Let 2*g**4/11 + 540*g**3/11 + 2634*g**2/11 - 4264*g/11 - 6360/11 = 0. Calculate g. -265, -6, -1, 2 Find v, given that v**4 - 212*v**3 + 12597*v**2 - 239522*v + 430336 = 0. 2, 41, 128 Factor 2*c**3 - 1740*c**2/11 + 158*c/11. 2*c*(c - 79)*(11*c - 1)/11 Factor 1977*o**2 - 5916*o - 45. 3*(o - 3)*(659*o + 5) Factor -n**3/5 + 5984*n**2/5 - 23924*n/5 + 4784. -(n - 5980)*(n - 2)**2/5 Factor -t**3 + 44167*t**2 - 176656*t + 176652. -(t - 44163)*(t - 2)**2 Factor -4*w**3 - 276*w**2 + 2080*w - 3648. -4*(w - 4)*(w - 3)*(w + 76) Let -27*g**4 + 168*g**3 + 153*g**2 - 42*g = 0. Calculate g. -1, 0, 2/9, 7 Let -4*a**3/5 + 2*a**2/5 + 842*a/5 + 84 = 0. Calculate a. -14, -1/2, 15 Let s**5/4 - 23*s**4/2 + 681*s**3/4 - 908*s**2 + 1937*s - 1428 = 0. Calculate s. 2, 4, 17, 21 Factor -2*z**2 - 3990*z - 23868. -2*(z + 6)*(z + 1989) Factor -p**2/9 - 35003*p/9 + 11668/3. -(p - 1)*(p + 35004)/9 Suppose -5*u**3 - 14390*u**2 - 28765*u - 14380 = 0. What is u? -2876, -1 Let -6*p**3/5 - 594*p**2 - 11784*p/5 = 0. What is p? -491, -4, 0 Let -5*z**3 - 925*z**2 - 21460*z - 20540 = 0. What is z? -158, -26, -1 Factor 2*q**2/15 + 620312*q/15 + 48098372168/15. 2*(q + 155078)**2/15 Find s, given that 3*s**5/7 - 486*s**4/7 + 5526*s**3/7 - 18960*s**2/7 + 8775*s/7 + 33750/7 = 0. -1, 3, 5, 150 Factor -289*x**3/5 + 62169*x**2 + 439272*x/5 + 155088/5. -(x - 1077)*(17*x + 12)**2/5 Factor -s**4/3 + 6197*s**3/3 + 12397*s**2/3 + 6199*s/3. -s*(s - 6199)*(s + 1)**2/3 Factor -b**4/7 + 5*b**3 - 375*b**2/7 + 1125*b/7. -b*(b - 15)**2*(b - 5)/7 Let -t**4/5 - 244*t**3/5 + 7356*t**2/5 - 13984*t + 43520 = 0. What is t? -272, 8, 10 Factor v**2 + 2094*v + 12528. (v + 6)*(v + 2088) Factor -2*b**2 - 1648768*b - 339804489728. -2*(b + 412192)**2 Find v such that 2*v**5/19 - 2332*v**4/19 + 6980*v**3/19 - 2320*v**2/19 - 6982*v/19 + 4652/19 = 0. -1, 1, 2, 1163 Determine p so that p**5/4 + 67*p**4/4 - 817*p**3/2 + 4509*p**2/2 - 17631*p/4 + 10179/4 = 0. -87, 1, 3, 13 Factor -3*t**4/4 - 13155*t**3/2 - 57737259*t**2/4 - 57632067*t. -3*t*(t + 4)*(t + 4383)**2/4 Solve -5*f**4 + 3865*f**3 - 56850*f**2 = 0. 0, 15, 758 Factor -t**2 - 29573*t + 29574. -(t - 1)*(t + 29574) Factor u**3/5 + 1399*u**2/5 + 559*u + 1397/5. (u + 1)**2*(u + 1397)/5 Suppose 2*d**2/15 + 2462*d/15 + 9688/3 = 0. What is d? -1211, -20 Let -j**4/10 - 27*j**3 + 273*j**2/10 + 271*j/5 = 0. Calculate j. -271, -1, 0, 2 Let -3*v**3/4 - 360*v**2 - 50544*v - 1679616 = 0. What is v? -216, -48 Factor 56340*d**2 - 1915568*d + 272. 4*(d - 34)*(14085*d - 2) Find k, given that -k**4/5 + 688*k**3/5 - 129258*k**2/5 + 3696408*k/5 - 9944397/5 = 0. 3, 31, 327 Factor 2*l**3/3 - 16*l**2/3 - 7774*l/3 + 2596. 2*(l - 66)*(l - 1)*(l + 59)/3 Factor -4*p**3 + 2496*p**2 + 10032*p + 10048. -4*(p - 628)*(p + 2)**2 Determine o, given that 5*o**4/3 + 2560*o**3/3 - 4295*o**2 + 20660*o/3 - 10340/3 = 0. -517, 1, 2 Factor -3*m**3/5 - 333*m**2/5 + 687*m/5 + 1017/5. -3*(m - 3)*(m + 1)*(m + 113)/5 Suppose -2*f**2 + 2132*f + 28054 = 0. What is f? -13, 1079 Factor -5*o**2 + 21095*o + 360060. -5*(o - 4236)*(o + 17) Suppose 4*g**2/3 + 123232*g/3 + 246416 = 0. What is g? -30802, -6 Factor y**4/4 - 331*y**3/4 + 3555*y**2/4 - 11225*y/4 + 2000. (y - 320)*(y - 5)**2*
{ "pile_set_name": "DM Mathematics" }
-39 Calculate (-15)/30*104/(-12)*3/(15/5). 13/3 Evaluate (10/(-2))/(((3864/(-11270))/(6/(-5)))/(-6)). 105 What is the value of -12*91/52*41/(12915/(-225))? 15 Evaluate (-1*21/1)/(((-66)/(-12))/11). -42 What is (-54)/(-1656)*1248/(-468)? -2/23 1/((-14)/(-8))*(-197)/(1576/280) -20 Evaluate ((-891)/(-22))/((-1080)/1440). -54 What is the value of 330890/3423*(-3)/10? -29 What is (-1)/(-2)*(-4)/73*17951/(-71804)? 1/146 Evaluate ((-6)/3*4/(-22))/(8835/19437). 4/5 Calculate (-7*4)/((-201)/402*3/(-21)*-4). 98 What is the value of (-21)/37*348*335/2448180? -1/37 Calculate (((-2)/(-2))/(6*12/(-216)))/(5121/49503). -29 What is (-4)/(-27)*29052/(-10760)? -2/5 What is (-52)/(-94*288/(-3384))? -13/2 What is the value of 97/((-270436)/246)*5*6/(-9)? 5/17 What is the value of ((-56)/2)/(206/(-3605)*-70)? -7 Calculate ((1890/25)/(-9))/((-54)/(-270)). -42 (3432/156)/(1/(8/16)) 11 -28*13/33540*96/112 -2/215 What is (418/(-19))/11*70/4? -35 What is ((-5808)/(-56))/(-3)*(4557/868)/((-3)/2)? 121 Evaluate (2*187/(-136))/(15*(-7)/(-3780)). -99 What is the value of 5/((8424/(-192))/39)? -40/9 What is the value of 315/(-6)*50*(-46)/2875? 42 Calculate (-3)/6*(12*(-42)/(-16))/(15/(-40)). 42 What is the value of (-1056)/1584*(-189)/(-14)*6? -54 Calculate 114/(-108813)*46*(-3)/(-18). -2/249 Calculate ((-9)/(-2)*2)/((-32)/(-1792)*28). 18 ((((-126)/(-16))/(-7))/(-3))/(43/7224) 63 What is the value of ((-36)/156)/(((-25)/(-25))/(-286))? 66 What is (8/(-5)*13794/(-2508))/((-4)/(-10))? 22 Evaluate (-1117)/18989*(-1)/(20/8). 2/85 What is ((2200/160)/(-55))/(1/3*(-21)/(-1988))? -71 (100/80)/(680/(-612)*(-3)/16) 6 Calculate 6/(-84)*(-35)/40*1. 1/16 Evaluate (2/(-565))/(14/((-5880)/(-252))). -2/339 Calculate (-52)/9490*(-25)/(-4)*((-840)/(-75))/7. -4/73 What is the value of 348/2001*2599*5/20? 113 What is the value of (-17992)/(-53976)*4/((-4)/375)? -125 ((-52)/(6032/290))/((-40)/(-816)) -51 Calculate (-3)/108*(-198)/(-99). -1/18 Evaluate 20/(-8)*(-7074)/1965. 9 Evaluate ((-6)/(-63)*(-300)/(-80))/((70/(-539))/(-5)). 55/4 Evaluate ((-30)/(-25))/(((-168)/(-6))/(-560)*258). -4/43 What is (214/(-642))/(((-11)/(-1650))/(1/8))? -25/4 Evaluate (60/(-25))/(-330*(-21)/2100). -8/11 What is the value of (-5)/(-63)*(51858/(-134))/43? -5/7 What is (((-20)/(-12))/((-740)/666))/((-22)/(-4))? -3/11 Calculate ((-68)/34)/(1460/146). -1/5 What is the value of 27*(-54)/(112266/(-4235))? 55 What is the value of (-742)/(-159)*(((-90)/16)/5)/(150/(-60))? 21/10 Evaluate ((-402)/21)/((159/318)/((-14)/8)). 67 What is (14*(-18)/(-96))/((-1)/4)*14588/3126? -49 Calculate ((-10)/15)/(-25*24/(-90)). -1/10 (-442*(-102)/(-3315))/(8/10) -17 What is the value of (75*(-4)/10)/((-522)/29)? 5/3 Evaluate (-114)/(-36)*-2*252/(-21). 76 ((-9)/(-15))/(((-938)/268)/(((-550)/(-12))/(-11))) 5/7 What is the value of ((-1)/(-1))/(18860/(-164082)*1/10)? -87 What is ((-140)/(-6))/(-12*84/1512)? -35 Evaluate (385/420*(-1725)/(-550))/((-2)/(-4)). 23/4 What is (2/4)/((1040/(-24))/(-10))*(-60)/18? -5/13 Calculate -3*(-188)/(-18)*(-4890)/1630. 94 Calculate (99/(-231)*2/4*24/4)/3. -3/7 (-82)/(30996/54)*-140 20 Evaluate (-21)/(-3654)*87*18. 9 Calculate (-78)/(-3861)*-18*(-1287)/14664. 3/94 Evaluate 20/(-4)*(4/240)/(9/((-2511)/31)). 3/4 36/14*10/(-55*(-81)/2079) 12 Calculate (8/(-852))/(((300/(-252))/(-25))/(2/14)). -2/71 Evaluate (20*7/84)/((-39530)/(-804)). 2/59 Evaluate (-10*(-57)/(-21280))/((2/16)/(4/(-120))). 1/140 Calculate ((-26)/(-5460)*-10)/((-201)/210*5). 2/201 -240*-103*15/(-4635) -80 (-6)/(-10)*6*65/78*-11 -33 Calculate 1*(-20)/(-1120)*14*-64. -16 What is the value of (6/(-9))/(1398/16776)? -8 What is the value of ((-12096)/(-160))/(-42)*660/36? -33 What is ((-55)/3)/(((-7)/(-56))/((462/112)/(-11)))? 55 Evaluate ((-8)/45)/(5004/62550). -20/9 Calculate 636/(-15264)*(-195)/(-5). -13/8 Calculate (1/(-19))/(2948/5896). -2/19 What is the value of (12060/9380)/(3/(-77))? -33 What is the value of 93345/(-8001)*6/2? -35 What is the value of ((-1012)/3289)/(190/4693)? -38/5 (2/10*85/(-51))/(-7*5/315) 3 ((-130)/75)/(129/7740) -104 Evaluate (-42)/(-4)*(-61)/1281*(-244)/(-8). -61/4 What is (4/20750)/((4824/(-450))/(-268))? 2/415 What is the value of (-91)/26*(172/(-18))/(1092/(-1404))? -43 ((-166)/32204)/((90/(-9))/(-20)) -1/97 Evaluate (20*57/(-570))/((-2)/19)*-3. -57 What is (966/144)/23*(-150)/525? -1/12 Evaluate (136/(-170))/((-17)/((-935)/(-1034))). 2/47 What is ((-4)/28)/((-2554)/(-411194))? -23 (-16)/(-50)*600/(-6240) -2/65 Calculate ((-78)/(-21216)*102)/(9/16). 2/3 What is the value of (((-972)/(-1512))/(6/(-14)))/((-63)/(-1470))? -35 (-13)/((-1950)/220)*(-1515)/606 -11/3 (4592/(-1968))/((-245)/9) 3/35 What is the value of ((-48)/((-1152)/24))/(12/(-132))? -11 Evaluate (20/1)/(73*(-24)/(-10512)). 120 ((324/2700)/(2/20))/((-133)/280*-8) 6/19 What is 174/(-4)*((-7280)/(-273))/40? -29 Evaluate (-42)/(-5)*14450/78030. 14/9 Calculate (-63)/84*(-16)/1644*4/2. 2/137 What is the value of (22/(-4))/((4/4)/(56/(-14)))? 22 Evaluate (4160/520)/((-2)/10*18). -20/9 What is the value of (58/(-2))/((-1489)/2978)? 58 What is the value of (((-2)/(-1))/(486/(-1215)))/((-10)/(-12))? -6 (-3)/(-18)*(-199)/(15124/13224) -29 16130/(-6452)*(-198)/(-15) -33 What is the value of 24/2*(12/28)/((-126)/196)? -8 ((-38136)/(-4086))/(2/(-3)) -14 What is the value of (-22)/1265*46*(-55)/(-1518)? -2/69 What is the value of ((-2)/56)/((-70)/(-4)*80/(48800/183))? -1/147 What is ((-21)/(-56))/((-195)/1300)*(-148)/5? 74 Evaluate 6/3*(-2)/4*6/9. -2/3 What is the value of (2626/(-117))/(-101)*9/(-28)? -1/14 What is the value of 41*1/4*2/(-15)*(-9040)/(-904)? -41/3 Calculate (3*21/(3780/(-20)))/((-2)/(-81)). -27/2 What is ((-105)/((-105105)/286))/((-40)/14)? -1/10 (171/(-54))/((-855)/45) 1/6 35/(-112)*((-138)/(-1610))/(1/(-7)) 3/16 What is 48/528*73920/480? 14 Calculate (-76*(-112)/(-85120))/(8/110). -11/8 What is (-6380)/(-2530)*11*(-92)/(-44)? 58 ((74088/(-245))/24)/((-2)/(-10)) -63 Calculate ((-43)/(-215))/(((-24)/110)/4)*(-30)/10. 11 Evaluate (-50778)/(-27846)*(-51)/3. -31 Calculate 1*6*((-215326)/372)/(-151). 23 What is (-33)/(1980/84)*(80/4)/(-1)? 28 What is ((-3720)/(-37800)*105)/(1/(-3))? -31 Calculate ((-3)/3*-1*0/(-472))/(-4). 0 (15*11/825)/(((-270)/(-775))/(-18))*3 -31 Calculate (-721160)/16390*11*(-1)/4. 121 ((-171)/684)/((-5)/(-10))*156/1 -78 What is 16*21/882*30/(-760)? -2/133 What is (-80)/(37440/78)*-114? 19 What is (444/(-37))/(8/624*-8)? 117 38178/101*(-1)/(-3) 126 Evaluate ((-32)/(-64800)*-36)/((-32)/(-24)). -1/75 Evaluate (-2196)/488*11/((-55)/10). 9 Calculate ((-3042)/1521)/(12/(-10)). 5/3 Calculate (-1806)/(-1505)*10/(-6)*23. -46 Calculate (3*29760/20880)/((-4)/(-58)). 62 What is the value of ((-40)/360)/(1/78)*186/(-403)? 4 Evaluate ((-4580)/(-458))/(((-160)/(-84))/(-10)*3/(-2)). 35 Evaluate ((29760/200)/24)/(6/(-30)). -31 Calculate 16*(-2)/28*(-399)/(-114)*3. -12 What is the value of (-11676)/(-84651)*9309/(-12)? -107 Calculate (598/2080*-8)/((-10)/(-100)). -23 Calculate ((-70)/(-147)*-9)/((-50)/((-1400)/54)). -20/9 What is the value of 1*(-45)/(-990)*814? 37 What is 170478/1848*17/(306/8)? 41 ((18/(-6))/(69/(-667)))/1 29 Evaluate (57/38)/((-8004)/552). -3/29 Evaluate 2*((-10)/200*135)/((-12)/56). 63 Evaluate (8/396)/((-1532)/84260). -10/9 (615/(-15))/((117/(-234))/(1/2)) 41 Evaluate 23*4*(-108)/120960*-280. 23 ((-44)/4048*23)/(20/(-2480)) 31 (70/(-3906)*-31)/(3*(-45)/162) -2/3 (((-7192)/186)/116)/((-2)/636) 106 ((-29)/116)/((-16)/((-384)/(-138))) 1/23 What is the value of 4*108/(-120)*30*(-45)/(-108)? -45 Calculate (35/(-9))/(20380/6114). -7/6 (-1*11)/((-169323)/6597) 3/7 What is (-976)/(-12)*((-3)/8*2)/((-22)/(-44))? -122 What is 17/(-5)*100/110*(-11)/88*-44? -17 What is 122*((-115010)/(-402535))/((4/3)/((-14)/(-6)))? 61 Evaluate (-378)/168*25272/(-30618). 13/7 What is the value of ((-9)/60)/((-8)/40)*(-6708)/117? -43 What is ((-43485)/(-113061))/(12/(-26))? -5/6 Calculate (59/(-3717))/(-5*8/(-120)). -1/21 Calculate ((-91936)/10985)/272*(-78)/68. 3/85 What is 2064/(-128)*4/(-3)*(-35)/(700/40)? -43 Evaluate (18/484*308/168)/((-15)/(-20)). 1/11 (1*36)/(((-110)/7315*7)/((-3)/19)) 54 Calculate ((30/(-25))/6)/(136/29240). -43 What is the value of 1/43*(-25)/(2675/214)? -2/43 (-1288)/98*18/((-468)/(-91)) -46 Evaluate (-2)/((-6)/(-21))*-101*(-142)/
{ "pile_set_name": "DM Mathematics" }
et d be z(-11). Suppose -d*i = 2*m - 2588, -5*m - 41 = -31. Is 72 a factor of i? True Suppose 543 = -4*f + 1323. Let w = -13 + f. Is 9 a factor of w? False Suppose -78*y = -86*y + 5688. Suppose 0 = 713*t - y*t - 1104. Is t a multiple of 12? True Suppose 2*p = -37 + 47. Suppose 0 = 3*h - 0*n + 5*n + 18, 0 = p*n. Does 14 divide 2/3 - (3 + 518/h)? True Suppose -2*a - 87789 = -15*a - 26*a. Does 10 divide a? False Let l = 7073 - 1637. Does 6 divide l? True Suppose 5*f - 11 - 10 = -j, 0 = 3*f - 2*j - 10. Suppose 27 = f*y + 3. Suppose -y*t = 4*t - 1660. Does 32 divide t? False Suppose 0 = 2*r + 4*t - 20, 3*r + r - 28 = -2*t. Suppose -47 = -r*k + 19. Let g = k + 76. Is 21 a factor of g? False Let j(q) = -41954*q**3 + q**2 + 107*q + 106. Is j(-1) a multiple of 28? False Suppose -14*n + 3 = -13*n. Suppose -4*a - 29 - 19 = -n*y, -3 = -a - 3*y. Let l = 50 + a. Is 18 a factor of l? False Let b = -69 + 102. Let y = 12 - b. Let r = y + 66. Is 14 a factor of r? False Let i(u) = 80*u**2 + 520*u + 5256. Is 19 a factor of i(-10)? True Let i be (-3 - 138/14)*-7. Suppose s - r = i, 253 + 93 = 4*s + 3*r. Is s a multiple of 2? True Let i(z) = -12*z - 48. Let n be i(-4). Suppose -2*r + 3362 - 1022 = n. Is 9 a factor of r? True Let n(q) be the first derivative of 2/3*q**3 - 3*q + 1/4*q**4 + 2*q**2 - 10. Is n(3) a multiple of 23? False Let k = -3170 + 3571. Does 20 divide k? False Let q(h) = -h**2 + 11*h + 13. Let g be q(12). Let d(i) = 46*i**2 - 2*i + 2. Let u be d(g). Let l = u - 11. Does 35 divide l? True Let w = 74635 + -37145. Is w a multiple of 16? False Let d = 298 + -123. Suppose 3 = -3*v + 3*n, -4*n + 8 = -8. Suppose t = 3*o + v*t - 505, -t - d = -o. Is o a multiple of 20? False Suppose 0 = 95*j - 78*j - 799. Suppose -5*u + 3*z = -0*z - 396, 0 = 2*u - 3*z - 162. Let s = u - j. Is s a multiple of 4? False Suppose -2*d + 4*d = 4*b + 18, 4*b = d - 19. Let k be d/(130/(-43) - -3). Let u = 90 - k. Does 10 divide u? False Let z be (0 - 1) + 2 + (-136)/34. Let i be (1 + 7)*(z - -21)*-1. Is 27 a factor of (i/28)/((-10)/105)? True Suppose -5888 = -r - 4*a, 3*a + 2*a = r - 5960. Does 29 divide r? False Let z = 5655 + -2096. Is z a multiple of 12? False Suppose -3*n - 5*j + 51 = 0, 9*n - j - 21 = 7*n. Suppose 19*v - 595 = n*v. Is v a multiple of 17? True Let d be (12/18)/((-2)/(-963)). Let w = 122 - d. Let v = -64 - w. Is v a multiple of 27? True Suppose -7*u + 33 = 33. Suppose 0 = -w + n + 3 - 2, u = 4*w + 3*n - 39. Does 3 divide w? True Suppose -15*k + 19*k - 5*n - 2763 = 0, -4*n = -5*k + 3447. Let v = -157 + k. Is 5 a factor of v? True Suppose 0 = 3*b - 4*j - j + 113, -82 = 2*b - 2*j. Let m = b + 90. Does 11 divide m? True Suppose 7*l - 95 = -12*l. Suppose -2*w + 3*p + 195 = 0, 4*w - 308 - 27 = -l*p. Does 18 divide w? True Let n(s) = -3*s - 2*s**2 - 2*s - 61*s**3 - 2 + 2*s. Let a be n(-1). Suppose -d + 5*d = a. Is 15 a factor of d? True Let h = 27423 - 27175. Is h a multiple of 2? True Suppose 9*b - 8*b + 3*v = 5092, -v + 20357 = 4*b. Is 7 a factor of b? True Let l(u) = -5*u - 49. Let m be l(-6). Let b = m + 36. Suppose b - 177 = -z. Is 40 a factor of z? True Let b(m) = 29*m - 423. Let w be b(15). Let z(y) = y + 288. Is z(w) a multiple of 25? True Suppose 0 = 3*g - 5*u - 54214, -3*g + 44089 = 3*u - 10133. Is g a multiple of 18? False Let c be (-4)/(-14) - 288/(-21). Suppose 2*g - 2*m = 2*m + c, 5*m = -20. Let i(z) = -41*z + 3. Is i(g) a multiple of 22? True Suppose 104*a = 146*a - 24221 - 10765. Is a a multiple of 17? True Suppose 3254 = -12*p + 9974. Suppose -219 = -2*j - 5*y + p, 4*y = -5*j + 1990. Is j a multiple of 35? False Is -2*1 + ((-8)/10 - 681252/(-390)) a multiple of 8? True Let n(t) = 105*t. Let x be n(3). Let a be 9/18 + 1/(-2). Suppose a = 3*s - 3*m - x, 0 = 5*m - 10. Is s a multiple of 23? False Let z = 11379 + -897. Does 79 divide z? False Let y be (20/8 + -2)/(2/12). Suppose -83 = y*b + 64. Does 18 divide (-2)/14 - 0 - 3731/b? False Suppose 2*r - 3*q + 17 = 0, 2*r + 15 = 5*q - 12. Let w be (338 + -5)*r/(-1) + -3. Suppose 7*i + w = 10*i. Is i a multiple of 5? True Suppose -338 - 858 = 4*v. Let j = 120 - 331. Let i = j - v. Is i a multiple of 22? True Is (12 + -2)*849*(-10)/(-3) a multiple of 100? True Let c = 722 + 22652. Does 26 divide c? True Is 6 a factor of ((-10)/(-6)*129/215)/(1/660)? True Let g(j) = 26*j**3 - j**2 + 1. Suppose -6*a + 4*a = 8. Let h(k) = k**3 + 4*k**2 + 1. Let n be h(a). Does 13 divide g(n)? True Suppose x + 3004 = 4*b + 350, 0 = 2*b + 2*x - 1332. Does 83 divide b? True Let u = -2550 - -4875. Does 75 divide u? True Let q = -5003 + 7328. Does 15 divide q? True Let y = 143 - 236. Let h = y - -479. Is 42 a factor of h? False Let t(m) = -m**3 - 27*m**2 - 117*m - 3096. Is t(-40) a multiple of 101? False Let a = -158 - -82. Is 129*a/(-44) - (-2)/11 a multiple of 26? False Let u(b) = b**2 + 27*b + 153. Let l be u(-8). Is 5 a factor of 41 - (5 - (4 + -1) - l)? True Let d(h) = 2*h**2 + 50*h - 83*h - 37 + 2*h**3 - h**3 + 42*h. Is 15 a factor of d(8)? True Suppose -v + 3958 = -p, -6*v + 19790 = -v - p. Is v a multiple of 2? True Suppose 4*v + 3*m = 11793, 4*m = -12*v + 7*v + 14743. Is 109 a factor of v? True Let g be -2*(-1)/(-2)*(-25)/5. Suppose q - g = -5. Suppose -3*b + b + 106 = q. Is 9 a factor of b? False Suppose 4 = 6*k + 46. Let h be (-74)/(-2) - ((-35)/k - 3). Does 2 divide 1005/h - 6/(-21)? False Suppose -5*o - 94 = 16. Let f be 64/22 - 2/o. Let x(d) = d**3 + 4*d**2 - 11*d + 5. Is 5 a factor of x(f)? True Let y(g) be the first derivative of g**4/4 - 22*g**3/3 + 3*g**2/2 - 54*g - 70. Is y(22) a multiple of 12? True Suppose 5*l = -4*n + 9*n + 25000, -2*l + 9998 = -n. Is 42 a factor of l? True Let w(l) = l**2 - 6*l + 11. Let c be w(3). Let j(h) = -7*h - 2*h - 15*h**c - h**3 + 20*h - 12 - 9*h. Is j(-16) a multiple of 26? False Suppose -3096000 = 29*h - 98*h - 60*h. Is 24 a factor of h? True Let l(j) = -8*j**2 + j + 687. Does 97 divide l(0)? False Let v = -51 + 51. Suppose -2*l + r = -0*r - 6, v = 4*l + r - 18. Suppose -l*i + i = 3*j - 396, 3*j = i - 120. Does 44 divide i? False Let n = 9330 - 6633. Does 93 divide n? True Suppose 0 = 4*m - 6 - 10. Is (m*7/21)/(1/48) a multiple of 8? True Suppose 0 = -22*x + 481 + 3. Suppose -21*k - 29 = -x*k. Is k a multiple of 29? True Suppose -5*t + 3*t = 3*i - 345, 5*i = -2*t + 575. Let x = i + -26. Let l = x - 35. Is 22 a factor of l? False Let b = 826 - 831. Let k(o) = -5*o**3 - 5*o**2 - 3*o - 11. Is 36 a factor of k(b)? True Let b(l) = -5*l**3 + 8*l**2 + 44*l + 148. Is 24 a factor of b(-9)? False Let h(m) = -m**2 + 24*m + 3. Let l be h(17). Let j = 190 - l. Let d = 164 - j. Is d a multiple of 32? True Let g(w) = w**3 + 8*w**2 - 22*w - 11. Suppose 100*f = 111*f - 66. Is g(f) a multiple of 41? False Suppose 2*m - 13866 = 6*b - 7*b, -5*b = 3*m - 20778. Is 6 a factor of m? True Let d = 16132 - 11405. Is 27 a factor of d? False Let h be 2*-2*3/(-12)*5. Suppose -h*z + 485 = -285. Suppose 4*o = 2*o + z. Is o a multiple of 10? False Suppose 1295 = 105*t - 98*t. Let m(f) = -f - 99. Let b be m(0). Let z = t + b. Is z a multiple of 21? False Suppose -h - 5*w = -4 - 61, 4*h + w = 222. Suppose h*r = 56*r - 250. Suppose 3*i - r = -2*i. Is 8 a factor of i? False Let n(x) = 2*x**3 + 2*x**2 - 4*x + 6. Let g(o) = 2*o**3 + o**2 - 5*o + 7. Let d(p) = 6*g(p) - 5*n(p). Let f be d(6). Suppose v - f = -2*v. Is 10 a factor of v? True Suppose 0*q - 8 = -2*q - 5*l, 16 = -4*l. Let w = 6 - q. Is (92/w + -3)/(4/(-32)) a multiple of 18? False Let k = 26156 + 12071. Is 103 a factor of k? False Let l = -238 - -242. Suppose 4*p + 5*j = 195, -61 = -p + l*j + 14. Does 11 divide p? True Suppose a + 2*h - 43 = 0, a = -2*a - 3*h + 117. Suppose -4*t = -5*s + 52, 0 = -3*t - s - a - 4. Let d(q) = -q**3 - 14*q**2 - 15*q + 10. Is d(t) a multiple of 7? False Let q be -13 + 2 - (-25)/5. Let o(m) = -28*m - 76. Is 4 a factor of o(q)? True Let v(q) = q**3 + 21*q**2 - 21*q + 29. Let d be v(-22). Suppose -d*a + 595 = -3*a - l, a - 4*l - 130 = 0. Is 8 a factor of a? False Let i(f) = -f**2 + 20*f + 42. Let g be i(22). Let q be 6 + g*(-2 - -3). Suppose -1056 = -q*z - 176. Does 11 divide z? True Let d = 9351 - 3162. Is d a multiple of 24? False Suppose -2*d - 2*s = -29592, -2*d + 210*s - 206*s = -29580. Is 13 a factor of d? True Let a(r) = r**3
{ "pile_set_name": "DM Mathematics" }
= 30*a - 625. Let o be u(21). Let f(m) = m**3 - 4*m**2 + m - 2. What is f(o)? 28 Suppose -k - 10 = 3*k - 3*d, -5*d - 2 = -2*k. Let h(x) = 29*x - 6 - 3 + 59*x - 5. Let g(n) = 31*n - 5. Let l(j) = -17*g(j) + 6*h(j). Give l(k). -3 Let c(d) = d + 2. Let q be (-27 - -17 - -8)*8. Give c(q). -14 Let l(j) = -j**2 + 15*j - 35. Suppose 2*m = -264*k + 263*k + 7, 4*m + 8 = 0. What is l(k)? 9 Let p(g) be the third derivative of g**6/120 - 11*g**5/60 - g**4/2 + 5*g**3/2 + 1083*g**2. What is p(12)? 15 Let g(j) be the first derivative of -j**2/2 + 13*j + 3. Let d(s) = -511*s - 15326. Let m be d(-30). Calculate g(m). 9 Let u be 1/((18/108)/(2/(-4))). Let s(j) be the first derivative of -j**4/4 - 2*j**3/3 - j**2 + j - 56. Calculate s(u). 16 Let p be 2/(-6)*(29 - 26) + -1. Let q be (p/(-3))/(68/(-918)). Let r(s) = s**2 + 7*s - 6. Calculate r(q). 12 Suppose -4*o + 20 = -0*o. Let v be (-6)/(3 + 0)*(-315)/18. Let k(d) = -51 + 19 + d + v. Determine k(o). 8 Let q(j) = 53*j**2 - 45*j - 32. Let f(t) = 148*t**2 - 134*t - 98. Let w(o) = 4*f(o) - 11*q(o). Give w(-1). 10 Let w(h) be the second derivative of -h**3/3 - 2*h**2 - 163*h. Suppose -4*r - q + 5 = -2*r, 3*q = -9. Calculate w(r). -12 Let r(o) = -4*o**3 + 116*o**2 - 124*o + 37. Let p(t) = -5*t**3 + 144*t**2 - 154*t + 46. Let v(s) = 13*p(s) - 16*r(s). Give v(15). -39 Suppose 5*y = 4*i + 2 - 3, 4*i - 22 = -2*y. Let b(c) = -2*c**3 - 5*c**2 - 6*c + 6. Let g(t) = t**3 + t**2 + t - 2. Let v(n) = b(n) + 3*g(n). Determine v(y). 0 Let v(n) = n**2 - 10. Let s be v(4). Suppose -15*h - s = -13*h. Let x be 6/((-90)/25)*h. Let w(f) = f**2 - 4*f + 6. Calculate w(x). 11 Let a(y) = -160*y**2 + 5 + 96*y**2 - 21*y + 66*y**2 + 3*y + 2*y. Give a(8). 5 Let y(q) = q**3 - q**2 - 2*q - 3. Let b = -17597 - -17599. Give y(b). -3 Let k(r) be the third derivative of r**6/120 + r**5/4 + 5*r**4/12 - r**3/2 - 408*r**2. Calculate k(-14). 53 Let j(i) be the first derivative of 14*i - 1 - 9/2*i**2 + 1/3*i**3. Let l be j(7). Let n(k) = -k - 3. Determine n(l). -3 Let s(v) be the third derivative of v**6/120 + v**5/5 + v**4/12 + 25*v**3/6 - 7297*v**2. Let i(w) = 5*w - 2. Let d be i(-2). Give s(d). 1 Let p(i) = 5*i**3 - 28*i**2 + 21*i - 139. Let l(w) = -w**3 + 6*w**2 - 4*w + 28. Let k(g) = 11*l(g) + 2*p(g). Determine k(10). 10 Let w(v) be the first derivative of v**4/4 - 16*v**3/3 + 19*v**2 + 14*v + 1913. What is w(13)? 1 Let r be (-1 - -12)/(3/18 + 5/6). Let y(b) be the third derivative of -b**5/30 + 7*b**4/8 + 8*b**3/3 - 3*b**2. Determine y(r). 5 Let s = -7781 - -7790. Let z(n) = n**2 - 8*n + 29. What is z(s)? 38 Suppose -p + 126 = -10*p - 9*p. Let m(c) = c + 10. What is m(p)? 3 Let w(m) = -26*m + 8*m**2 - 11 - 10 + 16. Suppose -10*q + 62 = 22. Let g(c) = 3*c**2 - 9*c - 2. Let h(z) = q*w(z) - 11*g(z). Calculate h(-6). -4 Let k(f) = -26*f**2 + 26*f + 669*f**3 + 681*f**3 + 674*f**3 - 28 - 2023*f**3. Calculate k(25). -3 Suppose -10*a + 30 = -0. Let s(p) = 8*p**2 - 12*p**2 + a - 8*p + 3*p**2 + 0*p**2. Calculate s(-6). 15 Let h(z) = -29. Let i(l) = 21*l + 124. Let c(n) = -6*h(n) - i(n). Give c(3). -13 Suppose z + 16 = 4*w, 6*w - 5 = 11*w + 5*z. Suppose -4*k - w*h = 2*h - 1, -25 = -5*h. Let l(g) = -g**2 - 6*g - 6. Calculate l(k). -6 Let g be ((-2)/3)/(9/(-243)). Suppose 3*o - 6*o - g = 0. Let f(w) be the first derivative of -w**4/4 - 7*w**3/3 - 7*w**2/2 - 8*w + 16. Give f(o). -2 Let b(s) = s**3 - 8*s**2 - 24*s + 35. Let a = -1159 + 1169. Give b(a). -5 Let x(m) = 6 - 2*m - 8 + m. Let z = 549 + -555. Give x(z). 4 Let a(u) = -u**2 + 3. Let c be 4/(24/(-42)) - -10. Suppose 0 = -5*z - 69 + 204. Suppose 4 = y - 5*k + z, c*k - 3 = -3*y. What is a(y)? -6 Let u(y) = -20*y - 6. Let j = -6838 - -6839. Give u(j). -26 Let x(s) = -s**3 - 3*s**2 - 2*s. Let b be (-208)/(-16) + 1*-4. Suppose -13 = w - b. Let f be (-7 + 8)/(2/w). Determine x(f). 0 Let m be (2/6)/(57/18 + -3). Let u(t) = -7*t + 23*t**2 - t**3 + 6 + 2*t - 38*t**m + 21*t**2. Determine u(5). 6 Let u(o) = -o**2 + 3*o - 1. Let m(y) = 5*y - 19. Let n be m(10). Suppose -6*x - 5 = n. Let h(z) = -2*z - 10. Let k be h(x). Determine u(k). 1 Let c(o) = -o**2 - 20*o - 34. Let x be c(-15). Let b(k) = -94 - k**3 + x - 4*k**2 + 51 - 2*k. Calculate b(-4). 6 Let r(i) be the first derivative of 8*i**3/3 - 3*i**2 + 10*i + 2794. Determine r(4). 114 Suppose 28 - 8 = 5*m. Let f(a) = 8*a - 30. Let i be f(m). Let k(n) = -i*n + 7*n**2 - 1 + 2*n**3 - n**2 - 5*n**2. Determine k(2). 15 Let y(l) = -l**3 + l**2 - l + 6. Suppose 9*h + 3*h = 5*h + 14. Determine y(h). 0 Let q(p) = p - 8. Suppose -20*u + 63 = -64 - 373. Determine q(u). 17 Let a(h) = 2330 + 6*h - 1968 + 24*h. Give a(-12). 2 Let q(b) = -2*b + 21. Let k = 5228 - 5222. Determine q(k). 9 Let j = -5851 - -5845. Let l(g) = -g**2 - 4*g + 13. What is l(j)? 1 Let o(d) = -8*d - 41. Let x be 8 - 1*(-9)/(-1). Let y be x*(48/9 + (-5)/15). Calculate o(y). -1 Let q(g) = 3*g**3 - 31*g**2 - 51*g - 50. Let c(b) = -4*b**3 + 32*b**2 + 51*b + 53. Let f(u) = 4*c(u) + 5*q(u). Calculate f(-25). -13 Let r(i) = -14*i**2 + 18*i + 18. Let s(v) = -33*v**2 + 37*v + 36. Let p(a) = -7*r(a) + 3*s(a). Calculate p(-14). -4 Let t(s) = -7*s - 15. Let x(i) = 10*i + 21. Let r(b) = -7*t(b) - 5*x(b). Let q(l) = -51*l - 244. Let y be q(-5). What is r(y)? -11 Let w(r) be the second derivative of -r**4/12 - 4*r**3/3 - r**2 - 937*r - 2. Give w(-7). 5 Let a = -224 - -227. Let c be (0/(-2) - a)/1. Let o(w) = 5*w**2 - 4. Give o(c). 41 Let w(n) = n**3 - 10*n**2 - 9*n - 33. Let c = 470 - 459. Calculate w(c). -11 Let l be ((-57)/76)/((-8)/(-32)). Let u(d) = 5*d**2 - 6. Give u(l). 39 Suppose 4*b - 40 = 24. Suppose 13*p - 52 = -0*p. Suppose -11 = n - p*r + 4, -4*r = -b. Let o(s) = -2*s**2 - 1. Calculate o(n). -3 Let q(i) = -i**2 + 27*i - 72. Let l be q(3). Let y(h) be the third derivative of 0*h + l - 1/12*h**4 + 48*h**2 + 2*h**3. Give y(9). -6 Let o(s) = s**3 - 3*s**2 + 3*s - 12. Suppose -5*a = 2*h - a + 6, -5*h - 4*a + 3 = 0. Let f be o(h). Let i(v) = -v**2 + 2. Give i(f). -7 Suppose 0 = 426*f - 425*f - 56. Let p = 62 - f. Let y(d) = 4*d + 2. Give y(p). 26 Let k(i) be the second derivative of -i**5/10 + 2*i**4 - 7*i**3/2 + i**2/2 - 3370*i. Calculate k(11). 12 Let m(n) = -n - 5. Let o be (-925)/85 + (20/(-34))/5. Let x be 2/o - (-5 + 432/44). Give m(x). 0 Let g be (5/75)/(18/(-15))*-6. Let x(c) be the first derivative of c + 11 + c**2 - 7/2*c**4 + g*c**3. What is x(-1)? 14 Let i(m) be the second derivative of -m**5/20 - m**4/2 - 4*m**3/3 - 2*m**2 + 13*m. Let y be i(-4). Let r(q) = -2*q + 4. Give r(y). 12 Let v(x) = -x + 6. Let r(h) = -8*h - 344. Let m be r(-43). Determine v(m). 6 Let s(j) be the second derivative of -j**4/12 - j**3/2 + j**2/2 - j. Let a(t) = t**3 + 59*t**2 + 205*t + 12092. Let w be a(-59). Calculate s(w). 1 Let l(s) = s + 2. Let p(c) = 2*c**2 + c + 5. Let k be -2*(-15)/(-6) - (-16 - -14). Let h(j) = k*l(j) + p(j). Suppose -5*t = 1 + 4. Give h(t). 3 Let r be 258 + 1 - ((-2)/(-2) - 0). Let l(g) = 4 - 258*g + r*g + g**2. Determine l(0). 4 Suppose 5*c + 261 - 249 = 3*h, -4*h = -2*c - 44. Let f(r) = -r**3 + 16*r**2 - 30*r + 8. Determine f(h). -20 Let j(t) = 71*t**3 + 11*t**2 + 24*t + 5. Let f(c) = 11*c**3 + 2*c**2 + 4*c + 1. Let y(w) = -13*f(w) + 2*j(w). Determine y(-2). -3 Let c(q) be the second derivative of -q**3 - 4 + 2*q**2 - 2*q - 1/12*q**4. Calculate c(-8). -12 Let y(p) = -23*p + 17. Suppose 818 = 114*g + 590. Give y(g). -29 Let o(r) = -3411962*r - 1 + 3411974*r + 5. Let i be -3 + -1*0/4. Calculate o(i). -32 Let t(f) = 3*f**2 + 13*f + 4. Let i be t(-3). Let v(o) = -o**3 - 7*o**2 + 8*o + 10. What is v(i)? 10 Let t(q) = -7*q**3 - 45*q**2 - 6*q + 18. Let o(v) = -15*v**3 - 91*v**2 - 13*v + 40. Let z(b) = -5*o(b) + 11*t(b). Calculate z(-20). 18 Let h(b) = -11*b**2 + b - 1. Suppose 29 + 7 = 18*g. Suppose 5*p = 3*z - 8, 2*z + 4*p + g + 0 = 0. Give h(z). -11 Let n(t) be the third derivative of t**6/120 - 3*t**5/20 + 2*t**4/3 - 3*t**3/2 + 937*t**2. Calculate n(6). -21 Let a(c) = -232*c**2 + 132*c**2 + 6 + 6*c + 102*c**2. Suppose -4*h - 36 = 5*r, 2*h = -4*r - 16 - 8. Determine a(r). 14 Let j(g) be the second derivative of -g**4/12 + g**3/2 - 3*g**2 + 152*g. Suppose 2*z - 22 = -0*z. Suppose c = 5*i + z, -3*c = 2*c - 4*i - 34. Calculate j(c). -24 Suppose 5*l - 2*z + 22 = 0, l + 2 = 2*z - 4*z. Let u(x) = -2*x**2 + 4*x
{ "pile_set_name": "DM Mathematics" }
48068 Calculate the lowest common multiple of 9840 and 1936512. 9682560 Find the common denominator of -21/10992256 and -91/19923464. 318775424 What is the smallest common multiple of 10897166 and 21364? 152560324 What is the common denominator of -17/1555125 and -179/11310? 3110250 Find the common denominator of -85/2430704 and -53/3784. 26737744 Calculate the common denominator of -67/52030 and 5/419749. 180492070 What is the smallest common multiple of 35802 and 41089680? 534165840 What is the lowest common multiple of 73140 and 6363180? 6363180 Find the common denominator of 193/541020 and 79/484. 65463420 Calculate the smallest common multiple of 9000 and 570000. 1710000 Find the common denominator of -47/2802482 and 9/344. 11209928 What is the least common multiple of 29637 and 2048958? 75811446 What is the common denominator of 99/12660554 and -43/1236? 75963324 Calculate the common denominator of -37/154880 and -81/337040. 59319040 Calculate the common denominator of -52/21869955 and -67/1350. 656098650 What is the common denominator of 149/527400 and 61/320? 4219200 What is the smallest common multiple of 15457408 and 9808? 15457408 Calculate the common denominator of -57/21290 and -89/10410810. 10410810 What is the common denominator of 77/55712298 and 2/46426915? 278561490 Find the common denominator of 24/151 and -38/186615. 28178865 Find the common denominator of 169/336 and -13/1741632. 12191424 Calculate the common denominator of 99/980 and 17/433230. 6065220 Find the common denominator of -38/18823343 and 23/3561173. 131763401 Find the common denominator of 13/162 and -109/5234130. 47107170 Calculate the lowest common multiple of 47873304 and 414. 47873304 What is the lowest common multiple of 133225 and 2531275? 2531275 Calculate the lowest common multiple of 74855 and 2701585. 29717435 Find the common denominator of -55/1872 and -137/212004. 848016 What is the common denominator of 127/63216 and 19/1211640? 7269840 What is the smallest common multiple of 115284 and 78940719? 315762876 What is the least common multiple of 351 and 40328847? 40328847 Calculate the common denominator of -6/2723 and 83/70. 27230 Calculate the smallest common multiple of 762 and 5749671. 11499342 Calculate the least common multiple of 281120 and 3970820. 31766560 What is the smallest common multiple of 811664 and 4448? 225642592 Find the common denominator of 47/25303440 and 47/60. 25303440 What is the common denominator of 23/4839912 and 83/33969012? 1834326648 Find the common denominator of 121/3231936 and 37/4464. 3231936 Calculate the least common multiple of 10810422 and 288. 172966752 Find the common denominator of 20/73801 and 4/2387. 25166141 Find the common denominator of 157/2160 and 19/1403460. 5613840 Calculate the common denominator of -67/1439730 and -121/115260. 325378980 Calculate the smallest common multiple of 464 and 8904740. 35618960 Find the common denominator of -52/1439645 and 63/935. 15836095 Calculate the common denominator of 121/10 and -81/411344810. 411344810 What is the common denominator of -7/745260 and 99/5380? 200474940 Find the common denominator of 30/388153 and -41/2096. 6210448 What is the common denominator of -22/4779 and -4/12080781? 108727029 Calculate the common denominator of 57/233156 and -123/2156. 1632092 What is the lowest common multiple of 2235618 and 496804? 4471236 Calculate the least common multiple of 34010319 and 12003642. 204061914 Calculate the least common multiple of 96792 and 1417. 1258296 Find the common denominator of 179/6311040 and -145/136318464. 681592320 What is the common denominator of -73/39543 and 71/918? 12100158 What is the lowest common multiple of 132000 and 132? 132000 What is the least common multiple of 9928212 and 5430? 49641060 Calculate the least common multiple of 27874066 and 15204036. 167244396 What is the common denominator of 131/86832 and -21/62? 2691792 What is the smallest common multiple of 107632 and 62496? 1937376 Calculate the smallest common multiple of 6987225 and 119. 118782825 Find the common denominator of -67/86208 and 71/384. 172416 Find the common denominator of -53/1908280 and -35/3434904. 17174520 What is the common denominator of 69/26250064 and -63/8336? 26250064 Find the common denominator of 13/4231956 and 5/2628. 12695868 What is the common denominator of -38/8653305 and -7/3112? 69226440 Calculate the lowest common multiple of 1254300 and 540. 11288700 Calculate the least common multiple of 24514 and 176220640. 1233544480 What is the common denominator of -31/360372 and 14/23895? 48650220 Calculate the lowest common multiple of 133 and 2081751. 39553269 What is the smallest common multiple of 7904 and 4108? 624416 Calculate the least common multiple of 25257921 and 30. 252579210 What is the lowest common multiple of 2340036 and 5720088? 51480792 Calculate the least common multiple of 4948258 and 1445. 24741290 What is the least common multiple of 11750180 and 14? 82251260 Find the common denominator of -79/61332 and -79/200136. 3802584 What is the common denominator of -83/66 and -67/36324552? 36324552 What is the common denominator of 3/9912419 and 11/3604516? 39649676 Calculate the common denominator of -97/4054080 and 89/295200. 60811200 What is the common denominator of -18/18139 and 8/1243? 2049707 What is the common denominator of -19/744500 and -71/74450? 744500 What is the lowest common multiple of 99264 and 260736? 134800512 What is the common denominator of -103/148 and -121/528708? 19562196 What is the least common multiple of 2238208 and 2464? 24620288 What is the common denominator of -7/852 and -37/247088946? 494177892 Calculate the lowest common multiple of 23529861 and 120263734. 1082373606 What is the common denominator of -113/12 and 47/328860? 328860 What is the common denominator of -83/41719860 and 29/19810? 41719860 Calculate the smallest common multiple of 146993 and 569. 83639017 Calculate the common denominator of 23/49874 and -87/44242. 100296614 What is the common denominator of -107/1761310 and 125/71244? 31703580 Calculate the least common multiple of 15466 and 74686720. 821553920 What is the common denominator of 99/22688806 and 51/1620629? 22688806 Calculate the smallest common multiple of 581490 and 174447. 1744470 Find the common denominator of -169/59682360 and 103/49735300. 298411800 What is the smallest common multiple of 4854 and 125280? 101351520 What is the common denominator of -97/3752812 and -23/411894? 33775308 Find the common denominator of 68/594225 and 163/2850. 1188450 Calculate the common denominator of 95/1183648 and -67/28332. 10652832 What is the least common multiple of 1879592 and 86? 80822456 What is the common denominator of 103/3054 and -93/298? 455046 What is the common denominator of -121/700 and -179/130620? 653100 Calculate the lowest common multiple of 16 and 224812820. 899251280 Find the common denominator of 97/17842000 and -61/35684000. 35684000 Calculate the least common multiple of 9894 and 8106. 13366794 Calculate the least common multiple of 9422448 and 8584. 348630576 What is the lowest common multiple of 3848 and 7139002? 28556008 Calculate the common denominator of -19/49726131 and 19/588. 198904524 Calculate the least common multiple of 5630360 and 30403944. 152019720 Calculate the common denominator of -53/95 and -59/2926615. 55605685 Calculate the common denominator of -61/55169244 and -51/12259832. 110338488 Calculate the least common multiple of 115545 and 260. 6008340 What is the common denominator of 71/3201687 and -13/5667354? 493059798 Calculate the smallest common multiple of 7728808 and 8. 7728808 What is the common denominator of -40/40959 and -5/145854? 5980014 What is the common denominator of -37/400 and -71/2078400? 2078400 Calculate the smallest common multiple of 10555188 and 837. 2944897452 Find the common denominator of -19/10593 and -41/9021705. 27065115 Calculate the least common multiple of 3409172 and 482300. 596605100 Calculate the lowest common multiple of 48362 and 823. 39801926 What is the least common multiple of 386121316 and 1? 386121316 What is the smallest common multiple of 87975 and 39852675? 39852675 Find the common denominator of -
{ "pile_set_name": "DM Mathematics" }
ivative of 2*u**7/525 + 73*u**6/75 + 5473*u**5/75 + 1752*u**4/5 + 3456*u**3/5 - 3269*u**2. Factor x(o). 4*(o + 1)**2*(o + 72)**2/5 Let t(h) be the first derivative of -h**4/4 + 8*h**3/3 - 5*h**2 + 84. Let j(n) = 8*n**2 - 8*n. Let u(l) = 5*j(l) - 4*t(l). Solve u(i) = 0 for i. -2, 0 Factor -740/3*n**2 + 152/3 + 4684*n. -4*(n - 19)*(185*n + 2)/3 Suppose 12*j - 6*j - 5184 = 0. Factor 89*k**2 + 2*k**3 - 66*k**2 + j*k - 3456 - 95*k**2. 2*(k - 12)**3 Solve 125/2*j + 1/2*j**4 - 5/2*j**3 - 25/2*j**2 + 0 = 0 for j. -5, 0, 5 Let y(r) be the first derivative of 14*r**5/5 - 215*r**4/2 + 688*r**3/3 + 116*r**2 - 379. Determine n so that y(n) = 0. -2/7, 0, 2, 29 Factor -1/6*w**2 + 0 + 148/3*w. -w*(w - 296)/6 Let z(a) be the second derivative of -a**5/5 - 35*a**4/3 - 64*a**3/3 + 136*a**2 + 13*a - 10. Factor z(q). -4*(q - 1)*(q + 2)*(q + 34) Let r(b) = b**2 + 6*b - 9. Let d be r(3). Find f, given that 24 - 1505*f + 2994*f + 3*f**3 - d*f**2 - 1501*f + 3*f**4 = 0. -2, 1, 2 Let c(f) = f**3 - 13*f**2 + 17*f + 49. Let a be c(11). Let g be 1 - (-9)/90*a. Factor 2/5*y**3 - 2/5*y - g + 2/5*y**2. 2*(y - 1)*(y + 1)**2/5 Let s = 196 - 194. Let a(f) be the first derivative of 8*f - f**4 - 8/3*f**3 + 16 + s*f**2. Determine q, given that a(q) = 0. -2, -1, 1 Let q(s) be the second derivative of -s**5/25 + 37*s**4/5 + 224*s**3/15 - 3*s - 153. Factor q(k). -4*k*(k - 112)*(k + 1)/5 Let s be ((-8782)/96602)/(((-6)/(-44))/(-3)). Factor 3/4*l**3 + 5/4*l**4 + 0 + 1/4*l**5 - l - 5/4*l**s. l*(l - 1)*(l + 1)**2*(l + 4)/4 Let 6/5*n**3 + 54/5*n - 117/5*n**2 + 57/5 = 0. What is n? -1/2, 1, 19 Let u = 2/5925 + 1181/11850. Let a(x) be the third derivative of x**3 + 1/40*x**6 + 0 - 20*x**2 + 0*x - 1/8*x**4 - u*x**5. Let a(m) = 0. Calculate m. -1, 1, 2 Let c = 31567/24661 + 20/3523. Let 3/7*z**2 - c*z + 5/7 + 1/7*z**3 = 0. What is z? -5, 1 Let x(s) be the second derivative of 1/4*s**4 + 1/60*s**6 - 1/5*s**5 + 10/3*s**3 + 108*s + 25/4*s**2 - 2. Factor x(v). (v - 5)**2*(v + 1)**2/2 Let r(o) be the first derivative of 54*o**6 - 936*o**5/5 - 2051*o**4/4 + 791*o**3 + 141*o**2 + 8*o - 4817. Suppose r(z) = 0. What is z? -2, -1/18, 1, 4 Find o, given that -2/7*o**4 - 24*o**2 + 0 - 32/7*o**3 - 288/7*o = 0. -6, -4, 0 Let t = -198563/30 - -6629. Let b = t + -47/6. Factor 3*c + b + 3/5*c**2. 3*(c + 1)*(c + 4)/5 Suppose 54 = 3*i - 12. Let x = i - 18. Let -b**5 - 594*b**3 - b**x + 594*b**3 = 0. What is b? -1, 0 Let d(m) = -m**3 + 10*m**2 + 13*m - 20. Let s be d(11). Suppose -s*q - 2 = 2*h, 0*h + h = -2*q - 4. Let 14 - 8 - 6 + 48*y**h + 20*y**3 + 16*y = 0. Calculate y. -2, -2/5, 0 Let d(l) be the first derivative of -7 + 11/6*l**3 + 3/2*l + 23/8*l**2 + 5/16*l**4. Factor d(u). (u + 1)*(u + 3)*(5*u + 2)/4 Suppose -4*d + 2*z = 52, 0 = -5*d - 5*z - 20 - 30. Let p be ((-16)/64)/(d/16). Let p*w**4 + 1/3*w**3 - 2/3*w**2 + 0*w + 0 = 0. Calculate w. -2, 0, 1 Let a(m) be the third derivative of -m**7/420 + 19*m**6/240 - m**5 + 21*m**4/4 - 1183*m**2. Solve a(f) = 0. 0, 6, 7 Let r(k) = -k**2 - 31*k + 26. Let b be r(-28). Let m = b - 108. Factor -u**2 + 2*u**2 - m*u**2 + 3*u**2 + 16*u. 2*u*(u + 8) Let m(k) be the first derivative of -k**3/21 - 5*k**2/14 - 1636. Let m(z) = 0. Calculate z. -5, 0 Let l(y) = -y**3 - 6*y**2 + 6*y - 12. Let f be l(-7). Let w be -3*(-8 - f)/54. Factor -1/2*a**2 + 0 - w*a**3 - 1/3*a. -a*(a + 1)*(a + 2)/6 Let q(n) be the first derivative of -2*n**3/15 + 104*n**2 - 27040*n - 1156. Factor q(d). -2*(d - 260)**2/5 Let m(j) be the first derivative of 3*j**5/35 - 18*j**4/7 + 9*j**3 + 1101. Factor m(g). 3*g**2*(g - 21)*(g - 3)/7 Suppose 5*j = -2*g + 5, 5*g - 8*j + 3*j = -5. Suppose 9*t = 5*k + 7*t - 23, 5*k + t - 11 = 0. Factor 3/2*h**5 + g + 15/2*h**3 + 6*h**4 + 0*h + k*h**2. 3*h**2*(h + 1)**2*(h + 2)/2 Let g(x) be the third derivative of -1/420*x**7 - 11/40*x**5 - 16/3*x**3 + 0 - 56*x**2 + 0*x + 7/120*x**6 - 7/3*x**4. Suppose g(y) = 0. What is y? -1, 8 Let g(a) be the third derivative of -a**7/630 + a**6/30 - 3*a**5/10 + 3*a**4/2 - 9*a**3/2 - 176*a**2. Factor g(c). -(c - 3)**4/3 Let c = 4/767 - -18380/5369. Let w = -70 - -72. Factor -72/7 - c*i - 2/7*i**w. -2*(i + 6)**2/7 Let s be (4/180)/((-2)/(-74)) + 237/(-395). Let c(n) be the first derivative of 2/45*n**5 - 4/9*n**2 + 2/9*n**4 - 5 + s*n**3 - 8/9*n. Factor c(q). 2*(q - 1)*(q + 1)*(q + 2)**2/9 Let l(b) be the third derivative of b**8/140 - 88*b**7/525 - 19*b**6/25 - 28*b**5/25 - 17*b**4/30 + 16*b**2 + 62*b. Solve l(m) = 0 for m. -1, -1/3, 0, 17 Let i be (24/(-16))/(81/42 + -2). Suppose w + 8 = 2*s + i, 4*w = 2*s + 28. Determine v, given that 45*v**3 + 163*v**2 + w*v**5 - 163*v**2 - 30*v**4 = 0. 0, 3 Let u(g) = 3*g**3 + 170*g**2 + 6684*g - 46452. Let o(r) = 10*r**3 + 510*r**2 + 20050*r - 139350. Let j(q) = 2*o(q) - 7*u(q). Factor j(s). -(s - 6)*(s + 88)**2 Let d(x) = x**3 - 6*x**2 + 5*x + 6. Let k be -4 + 2*(1 + (-2)/1). Let s(t) = -5*t**3 + 25*t**2 - 20*t - 25. Let j(m) = k*s(m) - 25*d(m). Factor j(l). 5*l*(l - 1)*(l + 1) Factor -7678802837 - 21380*t**3 - 14498662500*t - 8919158269 - 5*t**4 - 30480750*t**2 + 2129757981. -5*(t + 1)*(t + 1425)**3 Let v(u) be the second derivative of 29*u**6/10 + 2529*u**5/20 - 1827*u**4/2 + 1786*u**3 + 396*u**2 + 887*u. Let v(z) = 0. Calculate z. -33, -2/29, 2 Factor 32 - 28/5*w + 1/5*w**2. (w - 20)*(w - 8)/5 Factor 2401/3 + 1/3*w**2 - 98/3*w. (w - 49)**2/3 Let r be 1*20 - ((-12)/(-3) + -6). Factor -3*u**3 - 40*u - 36*u - 10*u**2 + 30*u**2 - 103*u**2 + r*u. -u*(u + 27)*(3*u + 2) Let u(f) = -10*f**2 - 25*f + 0*f - 21 - 24. Let z(m) = 1006 - 962 + 9*m**2 - m + 27*m. Let d(v) = -4*u(v) - 5*z(v). Factor d(o). -5*(o + 2)*(o + 4) Let s(z) be the first derivative of -5*z**6/6 + 13*z**5 - 205*z**4/4 + 235*z**3/3 - 45*z**2 + 168. Let s(i) = 0. What is i? 0, 1, 2, 9 Let a(k) be the second derivative of -k**7/84 - 5*k**6/12 - 131*k**5/40 + 481*k**4/24 + 169*k**3 + 86*k - 14. Determine d so that a(d) = 0. -13, -3, 0, 4 Let x(o) be the second derivative of 1/70*o**5 + 0 - 1/21*o**3 + 0*o**2 - 164*o + 0*o**4. What is h in x(h) = 0? -1, 0, 1 Factor -321*t - 3 + 320*t**2 + 54412*t**3 - 54411*t**3 + 3. t*(t - 1)*(t + 321) Let r(u) be the first derivative of -u**8/4200 - u**7/420 - 2*u**6/225 - u**5/75 + 134*u**3/3 - 105. Let i(z) be the third derivative of r(z). Factor i(d). -2*d*(d + 1)*(d + 2)**2/5 Let a = -2387/2 + 1111. Let p = a + 1159/14. Determine n so that -p*n**3 + 2*n**2 + 10/7 - 22/7*n = 0. 1, 5 Let g be 28/11 - 48/88. Factor b**g + 121 + 185*b - 491*b + 168*b + 160*b. (b + 11)**2 Let f = -84543 + 84546. Determine y so that y**2 - 6/5*y - 1/10*y**f - 36/5 = 0. -2, 6 Let b(o) be the second derivative of -3/4*o**4 - 65/6*o**3 + 33*o - 169/6*o**2 - 1/60*o**5 + 1. Factor b(y). -(y + 1)*(y + 13)**2/3 Let d = 3151 - 40961/13. Find f such that -8/13*f**3 - d*f - 10/13*f**2 + 0 = 0. -1, -1/4, 0 Let u = 171 + -146. What is w in -u*w**2 + 5*w - 51*w**2 - 10*w + 7*w = 0? 0, 1/38 Let x(i) be the second derivative of 0*i**2 - 5/12*i**4 - 71*i - 95/6*i**3 + 0. Suppose x(p) = 0. What is p? -19, 0 Let m(z) be the third derivative of -11/48*z**4 + 0 - 1/240*z**5 + 30*z - 2*z**2 - 7/8*z**3. Find u, given that m(u) = 0. -21, -1 Factor 0 - 1/5*s**4 - 13/5*s**2 - 6/5*s - 8/5*s**3. -s*(s + 1)**2*(s + 6)/5 Let u(g) = -6*g**2 - 44*g + 134. Let h(n) = 4*n**2 + 42*n - 133. Let m(c) = -4*h(c) - 3*u(c). Factor m(k). 2*(k - 13)*(k - 5) Suppose -13*s - 32 = -5*s. Let l be s + (-25)/((-75)/18). Solve -8/5 + 2/5*b**3 - 2/5*b**5 + 14/5*b**l - 6/5*b**4 + 0*b = 0 for b. -2, -1, 1 Let c = -61 + 65. Let u**4 + 3*u**4 + c*u**2 - 199*u**3 + 207*u**3 = 0. Calculate u. -1, 0 Let j(q) be the second derivative of -13*q + 20/3*q**4 + 1/6*q**6 - 3 + 2*q**5 + 0*q**3 + 0*q**2. Factor j(l). 5*l**2*(l + 4)**2 Let s(o) be the second derivative of o**6/135 + 346*o**5/45 + 60203*o**4/27 + 79580*o**3/9 + 13225*o**2 + 994*o. Factor s(f). 2*(f + 1)**2*(f + 345)**2/9 Factor -31*n**3 - n**4 + 117*n**2 - 156 - 36*n**3 + 37*n**3 - 12*n - 2*n**4. -3*(n - 2)**2*(n + 1)*(n + 13) Let o be 10/(-15) + 76/6. Determine s so that -3*s**2 - 22 + 3*s - 15*s**3 + 25 + o*s**3 = 0. -1, 1 Let n(r) be the third derivative of 7*r**5/12 + 25*r**4/2 + 320*r**3/3 - 2*r**2 - 1970. Let n(d) = 0. What is d? -32/7, -4 Determine t so that -12/5*t + 0 - 266/5*t**2 + 18*t**3 = 0. -2/45, 0, 3 Let n(v)
{ "pile_set_name": "DM Mathematics" }
qrt(11)/3 + 47/9 Simplify (-4*6*(sqrt(63) - sqrt(7)) + 1 - (-1*sqrt(1008) + sqrt(28)/sqrt(4) + -2))**2. -222*sqrt(7) + 9592 Simplify -4*(sqrt(98)/(sqrt(2)*-5))/(sqrt(700) + (sqrt(700) - (sqrt(700) - (sqrt(700) + 1*sqrt(700)))) + sqrt(700)). sqrt(7)/50 Simplify 1*((4 + sqrt(363)*-2 + sqrt(363))**2 + -5)*-3. -1122 + 264*sqrt(3) Simplify (sqrt(297) + -5*(sqrt(297) + (sqrt(297) - sqrt(297)*3)))/(sqrt(121)/(sqrt(44)/sqrt(4)))*-4. -72*sqrt(3) Simplify (1*-1*sqrt(14) - (2*sqrt(140))/sqrt(10))/(sqrt(648) + sqrt(648)*2 + sqrt(648)). -sqrt(7)/24 Simplify -4*(-2 + sqrt(180) - sqrt(180))*5 + 5 + 4. 49 Simplify ((sqrt(80) - (-1*sqrt(80) + sqrt(80)) - sqrt(80))*-6)/(sqrt(20)/sqrt(2)*6 + sqrt(10) + (1*sqrt(30))/sqrt(3)). 0 Simplify 3 + (sqrt(12) + sqrt(192))**2 + (-5*sqrt(12)/sqrt(4) - ((sqrt(3) - (5 + sqrt(3)*2 + sqrt(3))) + sqrt(3))) + -4. -4*sqrt(3) + 304 Simplify ((1 + sqrt(96)/sqrt(2))*-1 - (-2*sqrt(1764))/((sqrt(144)/sqrt(3))/sqrt(4)))**2. -20*sqrt(3) + 301 Simplify ((-1 + sqrt(720) + -2)*-1 + 5 + -1)*-5. -35 + 60*sqrt(5) Simplify -4 + ((sqrt(126)/(sqrt(42)/sqrt(6)))/(sqrt(108)/sqrt(300)))**2. 46 Simplify (-6*(4*sqrt(324) - sqrt(36)))/(sqrt(588) - -4*-2*sqrt(588)). 66*sqrt(3)/49 Simplify -6*(((sqrt(68) - (1 + sqrt(68) + 2)) + sqrt(68) + sqrt(68) + sqrt(68) + -5)*6)**2. -146016 + 20736*sqrt(17) Simplify 2*sqrt(6)/(-2*-1*sqrt(3)) + ((sqrt(320) + sqrt(20))*6)/(sqrt(1210)*-2). -4*sqrt(2)/11 Simplify 4*(2 + sqrt(108) + -1 + -3)*-6*-4. -192 + 576*sqrt(3) Simplify (((sqrt(128)/sqrt(4) - sqrt(2)) + sqrt(8) + 4)*3 + (-5 + sqrt(32) - (sqrt(6)/sqrt(3) + -1 + sqrt(2))) + -3)**2. 170*sqrt(2) + 603 Simplify -4*(-3*sqrt(500))**2 + 0 - (3 + 4 + sqrt(500) + -4)**2. -18509 - 60*sqrt(5) Simplify ((-6*(sqrt(135) + 2*sqrt(135) - sqrt(135)))/(sqrt(432) + (-1*sqrt(432) - sqrt(432))*5)*1)**2. 5/9 Simplify ((-4 + (sqrt(1584) + -1 - sqrt(1584)) - (0 + 1 + sqrt(1584) - sqrt(1584))) + -1)**2. 49 Simplify sqrt(4)/(sqrt(18)/sqrt(225)) + (sqrt(24)/sqrt(3) - sqrt(8)) + (sqrt(2) - (sqrt(22)/(2*sqrt(11)))**2). -1/2 + 6*sqrt(2) Simplify (2*sqrt(475) + sqrt(475) + 3 + 2 + sqrt(19) + -5 + 1)**2. 32*sqrt(19) + 4865 Simplify (2*sqrt(70)*-3*-1)/(sqrt(70)/(sqrt(42)/(sqrt(6) + sqrt(150)))). sqrt(7) Simplify (-1*((sqrt(500) + 2)*-4 + 3 + 0 + 2))**2. 240*sqrt(5) + 8009 Simplify (((sqrt(588) + sqrt(12))*-5)/(sqrt(60)/(sqrt(80)/sqrt(8))) + 1)*-1. -1 + 40*sqrt(2) Simplify (-1 + (((-2 + sqrt(931))*6 + sqrt(931))*-2)**2)*6 + 3. -28224*sqrt(19) + 1098309 Simplify 2*sqrt(2299)*3 - ((sqrt(2299)*3)**2 + -1 + sqrt(2299)). -20690 + 55*sqrt(19) Simplify -1*sqrt(2)*2 + 3 + 0 - (4 + (sqrt(6)/(sqrt(3) - sqrt(3)*-2))**2 + 3). -38/9 - 2*sqrt(2) Simplify ((sqrt(228)*-2 - sqrt(228))/sqrt(12) + 5)**2 + -1*(sqrt(1216)*1)**2. -1020 - 30*sqrt(19) Simplify sqrt(5) - ((sqrt(60)/sqrt(48))**2 - sqrt(5)) - sqrt(50)/sqrt(90) - (-4 + -3*(2 + sqrt(10)/sqrt(2) + sqrt(5))). 35/4 + 23*sqrt(5)/3 Simplify ((sqrt(612) + (sqrt(612) - -4*(sqrt(612) + 0)) + sqrt(153)/(sqrt(729) - (sqrt(729) + sqrt(729)*4) - sqrt(9)))*1)**2. 30116537/1369 Simplify (((sqrt(324) + -2*sqrt(324))/sqrt(9))/((sqrt(120)*1)/sqrt(10)) + -3)**2. 6*sqrt(3) + 12 Simplify (((sqrt(4840)*1 - sqrt(4840)) + sqrt(4840) - sqrt(40))/(sqrt(24)/sqrt(147)))**2. 24500 Simplify (sqrt(1800) - 2*-1*sqrt(1800))/(sqrt(18)/(sqrt(4)/sqrt(2)*-5)). -150*sqrt(2) Simplify (-4 + -3*sqrt(171))*2*-5. 40 + 90*sqrt(19) Simplify (sqrt(56) + sqrt(616)/(sqrt(55)/sqrt(5)))/(sqrt(252)*1) + -1. -1 + 2*sqrt(2)/3 Simplify sqrt(567) + (sqrt(567) + (2 + sqrt(567))**2 - sqrt(567)) + 1 + sqrt(35)/(sqrt(5) - (1*sqrt(180) - sqrt(5))) + 3. 179*sqrt(7)/4 + 575 Simplify ((6*2*sqrt(119) - sqrt(119)*-1*4)/(-6*(sqrt(567) - sqrt(567)*-2 - sqrt(567))))**2. 272/729 Simplify (3 + (-2*sqrt(405) - sqrt(45))/(sqrt(9) + 1*sqrt(81)))*-4. -12 + 7*sqrt(5) Simplify (-5*(sqrt(198)/sqrt(9))/sqrt(11))**2 + -2*(-3*sqrt(8))**2. -94 Simplify (((sqrt(63) - sqrt(252))*3 - (-1*sqrt(441))/sqrt(7))/(1*-1*sqrt(225)) + 3)**2. 12*sqrt(7)/5 + 253/25 Simplify -3*(3 + (sqrt(343) + 0 + 5 - sqrt(343)))*5*-6. 720 Simplify (sqrt(189)/(sqrt(3)*-4) - sqrt(63))/(sqrt(27)/(sqrt(15)/sqrt(5))). -5*sqrt(7)/4 Simplify ((sqrt(228)*2 + sqrt(228))*4*-2)/(sqrt(108)/(sqrt(729) + 1*sqrt(729) - sqrt(729))). -216*sqrt(19) Simplify (sqrt(300)/(sqrt(45)/(sqrt(27)/sqrt(3))))/(sqrt(120)/sqrt(90) - (sqrt(108)*1 - sqrt(108))). 3*sqrt(5) Simplify 4*((sqrt(525) - (sqrt(525) + (sqrt(525)*2 + sqrt(525) - sqrt(525))))/sqrt(7) + 3). -40*sqrt(3) + 12 Simplify (3 + 4 + ((sqrt(24) - (sqrt(24) - (sqrt(3456) + 1*sqrt(3456)))) + sqrt(24))/((sqrt(16)*-2)/sqrt(2)))**2. -175*sqrt(3) + 2071/4 Simplify ((sqrt(95) - sqrt(95)*-2)*6)/(1*sqrt(5)*2) + -1. -1 + 9*sqrt(19) Simplify ((sqrt(363)*1)**2 - sqrt(363))*-3 - (sqrt(3)*-1 + -3 - (sqrt(3) + (sqrt(48))**2 + 0)). -1038 + 35*sqrt(3) Simplify -3 + 3*(sqrt(112) - (sqrt(112) - (sqrt(112)*2 + sqrt(112))) - sqrt(112))/(-2*sqrt(196)). -3 - 6*sqrt(7)/7 Simplify ((-2 + sqrt(343))*3 + sqrt(21)/(sqrt(12)/sqrt(4))*-2)**2. -228*sqrt(7) + 2563 Simplify 1 + 3*(-1 + sqrt(200) + -1)**2*-1. -611 + 120*sqrt(2) Simplify -1 + (sqrt(121)*2*-5)/sqrt(11) + (sqrt(539) + 1)**2*1. 4*sqrt(11) + 539 Simplify ((sqrt(132)/sqrt(176))/(sqrt(144) + -2*sqrt(144) + sqrt(144) + sqrt(144)) - (sqrt(9)/sqrt(27) - sqrt(3) - (-2 + sqrt(3) + -5)))**2. -287*sqrt(3)/12 + 11089/192 Simplify (1 + (sqrt(832) + sqrt(832) + 2 + 1)*-4 + -2 + 5)**2. 1024*sqrt(13) + 53312 Simplify -4 + (0 + -1 + sqrt(2057) - (sqrt(2057)*-1 + -1))**2. 8224 Simplify (3*-2*sqrt(136) + ((sqrt(136) - 1*sqrt(136))*3 - sqrt(136)))/(sqrt(8)*-2*5 - (1*sqrt(288) + sqrt(288))). 7*sqrt(17)/22 Simplify 0 + (-3 + sqrt(80)*1 - sqrt(80)) + (-1*-1*sqrt(80)*3)**2. 717 Simplify (-2*((sqrt(144) - sqrt(144)*-1) + sqrt(144)))/(((sqrt(120) - (sqrt(120) + (sqrt(120)*-1 - sqrt(120)))) + sqrt(120))/sqrt(10)*-6) + 4. 2*sqrt(3)/3 + 4 Simplify -2 + -3 + -4 + ((sqrt(539) + -1 - sqrt(539)) + 2)**2. -8 Simplify ((sqrt(832) + 5 + sqrt(832)*-2 + sqrt(832))**2 - (sqrt(832) - -4*(sqrt(832) + 1)**2))*3. -9921 - 216*sqrt(13) Simplify (-5 + 4*sqrt(605)*-2 + 2 + sqrt(5) + (sqrt(20) - (sqrt(20) - sqrt(100)/sqrt(5) - sqrt(20)))/sqrt(4))**2. 510*sqrt(5) + 36134 Simplify ((sqrt(684)*-2 + 0 + (sqrt(684) - (-5 + sqrt(684) + 3)))*-2)**2. -192*sqrt(19) + 10960 Simplify -4*(sqrt(833) + ((3*(sqrt(833) + sqrt(833) + 2))**2 - sqrt(833)) - (-6*(sqrt(833) - (sqrt(833) + 0 + sqrt(833) - sqrt(833))))**2). -120096 - 2016*sqrt(17) Simplify ((((-2*sqrt(357))/sqrt(7) - sqrt(51)) + -1*sqrt(51)*-4 + sqrt(51))/((sqrt(300) + sqrt(300)*-3)*-1))**2. 17/100 Simplify ((6*(sqrt(480) - sqrt(480)*-3))/(sqrt(90)/(sqrt(9)*-2)*-5))**2. 110592/25 Simplify 1*(3*sqrt(95)*-1)/(sqrt(60)/(sqrt(12) + sqrt(108) - sqrt(12)) - sqrt(5)). 9*sqrt(19)/2 Simplify (-1*sqrt(6)*4)/((-5*sqrt(21)/sqrt(7) - sqrt(3)) + sqrt(3)). 4*sqrt(2)/5 Simplify (1*sqrt(875)*-4)/((sqrt(30)/(sqrt(6)*-2) - sqrt(5)) + sqrt(80)*-1). 40*sqrt(7)/11 Simplify (2 + 0 + sqrt(102)/sqrt(6))**2 + (((sqrt(374)*2)/sqrt(11) - sqrt(34))/sqrt(2))**2. 4*sqrt(17) + 38 Simplify (2*(-1 + (sqrt(1377) - (-1 + sqrt(1377))) + 1 + sqrt(1377) + -5 + -6*-2*sqrt(1377)*2))**2. -7200*sqrt(17) + 3442564 Simplify -5 + -6*6*(-1*(sqrt(2736) + 5))**2. -99401 - 4320*sqrt(19) Simplify 2*(2*sqrt(320) + (sqrt(150)/sqrt(5))/sqrt(6) + -3)**2. -204*sqrt(5) + 2908 Simplify -3*-3*(((sqrt(55)/(sqrt(44)/sqrt(4)) - sqrt(5)) + sqrt(5))*5 + 4 + 3*-2*sqrt(5))**2. -72*sqrt(5) + 189 Simplify (((sqrt(4235) - (1*sqrt(4235) + sqrt(4235) + sqrt(4235) - sqrt(4235)))*-1)/(sqrt(55)/(-5*1*sqrt(11))))**2. 21175 Simplify (3*sqrt(6336)*-3 + sqrt(6336))**2 + ((-1 + -1 + sqrt(44) + sqrt(44))**2 - (-2 + sqrt(396))). -22*sqrt(11) + 405686 Simplify -3*(4 + ((sqrt(24) + sqrt(24)*-2 + sqrt(24))*-6 + sqrt(24))/(sqrt(12) - ((sqrt(144)/sqrt(3) - sqrt(48)) + sqrt(48)))) + 2. -10 + 3*sqrt(2) Simplify (((sqrt(847) - (1 + sqrt(847)))*3 + sqrt(847))*-6 - ((sqrt(847) - (1 + sqrt(847) - sqrt(847))) + 3 + -5))**2 + -5. -3234*sqrt(7) + 41939 Simplify (2 + -4 + 2*sqrt(192) - (sqrt(192) + sqrt(192) + sqrt(192) + -2 + sqrt(192)*2 + sqrt(192) + sqrt(192))*2)**2. -384*sqrt(3) + 27652 Simplify 2*4*(1*sqrt(153))**2 + (sqrt(153) - (3 + 1*sqrt(153))**2) + sqrt(153) + ((sqrt(153)*2)**2 + 4 - sqrt(153)). -15*sqrt(17) + 1678 Simplify ((sqrt(95)*-2 + sqrt(95))/sqrt(5) + sqrt(19) + 0 - ((sqrt(133)*-1)
{ "pile_set_name": "DM Mathematics" }
est to 0? (a) 193 (b) 0.2 (c) -2/13 (d) 7.768 c Which is the nearest to 0.06? (a) -0.2 (b) -19/3 (c) 0.1 (d) 1/4 (e) 0.044 e What is the nearest to -1 in -0.036, 2/3, -15979, -2/3? -2/3 What is the nearest to 15 in 1224, -44/7, -0.1, -3? -0.1 What is the closest to -1 in 23, -2/13, 5/1428? -2/13 What is the closest to -856 in -5, -0.4, 5, 1/5, 17, -4? -5 Which is the nearest to -1? (a) -20 (b) -8.4 (c) -1/4 (d) 7 (e) -1 e What is the nearest to 613 in -2, 2, 0, 0.0747, 1/4? 2 What is the closest to 1 in -516, 3, 394, 2/7, -28? 2/7 What is the closest to 1 in 10, -2, -8/9, -0.0393, 27, 0.3? 0.3 Which is the closest to -39033? (a) -0.1 (b) 0.5 (c) 0 a What is the closest to 1 in 0.5, -4, -3, -2/1363, 1709? 0.5 What is the closest to -234 in 18/11, -0.1, -172, -5, -0.5? -172 What is the closest to -1/4 in 6, -10/17, 0.443? -10/17 What is the closest to -2/7 in 0.19, 21, 0.16, -2.6? 0.16 What is the nearest to -12430 in 0.13, -0.44, -1/7, 5? -0.44 Which is the closest to 17/1575? (a) 2/19 (b) 1/4 (c) 0.039 c What is the closest to 2/3 in 3/4, 0.1, -1/3, 1/5, -141.5027? 3/4 Which is the closest to 1147? (a) 2/29 (b) -3/2 (c) 1/2 (d) -0.8 (e) -0.3 c Which is the nearest to -1/3? (a) 4/27 (b) 0.1 (c) -0.4 (d) 100/27 c What is the closest to -1053 in 7/2, -2/9, 52/3, -4? -4 Which is the nearest to 2091? (a) -0.5 (b) 1 (c) -26 b What is the closest to 0 in 40, 14, 39, -2/3, 1/7? 1/7 What is the nearest to -1 in 0.2, -1, 965286, 3/5, 0.5? -1 Which is the closest to -0.11? (a) -5 (b) 5874 (c) -23 a What is the nearest to 0.05 in -5, -12/7, 4, 1, 13/7? 1 What is the closest to -0.2267 in -0.09, -1.3, 0.2? -0.09 What is the nearest to 1/2 in 4.6, 4, -5.48, -0.4, 0? 0 What is the nearest to -7/4 in -0.7, 1/4, 869, -2, 0? -2 Which is the closest to 45? (a) 0.4 (b) 5 (c) -5 (d) 0.57 (e) -5/2 b Which is the closest to 10010? (a) 0 (b) -2/11 (c) -2/35 (d) 3 d What is the nearest to 3 in 101617, -140, -5? -5 What is the closest to -426.26 in 0, -4, 10, 5? -4 Which is the nearest to 0.2? (a) 7 (b) 0.1871 (c) 545 b What is the closest to 0.08 in -5939, -1/2, 0, 8, 0.5? 0 Which is the nearest to 0.1? (a) 1 (b) -0.3 (c) -1106120 b Which is the nearest to 0.7? (a) 70 (b) -4 (c) -2/19 (d) 2/3 (e) -9 d What is the nearest to -2 in 35, 622, -0.1, 1/4, 0.4? -0.1 Which is the closest to 1? (a) 3320083 (b) 7 (c) 0.4 (d) -0.5 c What is the nearest to -1/4 in 3632, -7, 199? -7 Which is the nearest to 362? (a) 2/51 (b) 9 (c) -0.1 b What is the nearest to -2 in 460, 3/7, -4, -0.2, 0.1? -0.2 Which is the closest to 5/3? (a) 0 (b) 5 (c) 137 (d) -2/5 (e) 5.9 (f) 92 a What is the closest to -5 in 6/11, 862, 19? 6/11 Which is the nearest to 1? (a) -2 (b) -13 (c) 1 (d) -522 c What is the closest to -3/38 in 0.2, -3/13, 1/4, 0.17, 23, -4? -3/13 What is the closest to -1 in -2/7, 3, 0.4, 439884/115? -2/7 Which is the nearest to -3? (a) 0.1 (b) 135 (c) 7127 a Which is the nearest to 1444? (a) -9 (b) -3 (c) -2 (d) 0.03 (e) 0.4 (f) 8 f What is the nearest to -0.4 in -133557, 3, 0.5? 0.5 What is the nearest to 4/7 in 2/13, 0.3, -6/31, -0.3, -0.11? 0.3 Which is the nearest to 18? (a) 4/13 (b) -0.158 (c) 5 (d) 2/127 c What is the nearest to -227 in 4, -4.67, 2? -4.67 Which is the closest to 10/3? (a) -7 (b) -1/5 (c) -0.1829 c What is the nearest to 144889 in 4, -2, -4, -0.2? 4 Which is the nearest to 24? (a) 99/14 (b) -3/4 (c) -0.3 (d) 91 (e) -5 a Which is the nearest to 1/8? (a) 3 (b) 0.06 (c) 4 (d) -18/97 b Which is the closest to -0.2? (a) 66770 (b) -1/2 (c) 0.4 (d) -4/13 d What is the nearest to 87 in -2/5, 5, -3, 0, 158? 158 What is the closest to 1 in 9/4, -11, -0.4, 192, -0.04? -0.04 Which is the closest to -1/2? (a) 306 (b) -0.1 (c) 11 (d) -0.27 d Which is the closest to -1? (a) -0.1358 (b) 2 (c) -2756 a What is the nearest to 133846 in -9, -153, 5? 5 What is the nearest to 2 in 15, 2/11, 21, -4/7, 1/10? 2/11 What is the nearest to 5 in 2, 1383/2, -1/3, -1? 2 Which is the nearest to -2/3? (a) -308031 (b) 2/5 (c) 1/3 (d) -2/7 (e) 0 d Which is the nearest to 768? (a) 7 (b) -5857 (c) -2 a What is the nearest to 1 in -1/3, 2/5, -89, -49, -0.3? 2/5 What is the closest to 0 in 0.00425, -5, -2/13, 0.3, 1? 0.00425 Which is the nearest to 0? (a) -18 (b) -5 (c) 4/5 (d) 37.4 (e) 0.056 e What is the closest to 0 in -5, -0.1, 0.2, -43491, -0.5? -0.1 Which is the nearest to -2? (a) 53/133 (b) -795 (c) 0.2 c What is the closest to 1 in -0.2, -3/29, -44/3, -2? -3/29 Which is the closest to -2? (a) 0.03 (b) -1/4 (c) 0.1 (d) -1/5 (e) 204 b What is the closest to 39 in -145, 1/8, 2, -23, 4, 2/23? 4 What is the closest to -1 in -465, -0.2, 184/5, -9/4? -0.2 Which is the nearest to 0.1004? (a) -2 (b) -0.5 (c) -1 (d) 0.3 (e) -2/327 e Which is the closest to -0.74? (a) -4405/2 (b) -0.4 (c) 1/2 (d) -4 (e) 2 (f) 0.4 b What is the closest to -7302904 in -0.2, -4/9, -3/5? -3/5 Which is the closest to 1/3? (a) 4055 (b) 6 (c) 1/5 (d) -2 (e) -3 c What is the nearest to -3 in -4, -203, 1058.92, -0.2? -4 Which is the closest to 1.9765? (a) 0 (b) 2 (c) 0.18 b What is the closest to -0.04 in 0.4, -4/3, -1/2, -1, -4577? 0.4 What is the nearest to -9340 in 3/5, 5, 7, -9? -9 Which is the closest to 25? (a) -0.035 (b) 4 (c) -113 (d) 5 (e) -0.4 d Which is the nearest to 13? (a) -4 (b) -5 (c) 3.7 (d) -677 (e) -3 c Which is the nearest to 0.34? (a) 0.3 (b) 653 (c) -27.3 a Which is the closest to 2/2947? (a) -3 (b) 0.5 (c) -17 b What is the nearest to 2/3 in 4, -5, -0.0239, 2, -9, -89? -0.0239 What is the nearest to -0.1 in -2/11, -514, 2/17, 14? -2/11 What is the nearest to -16003.3 in -4/7, -35, 4? -35 What is the closest to 846751 in 3/8, -1, 0.4, -4? 0.4 Which is the closest to -45571? (a) -2/5 (b) 6/5 (c) 0.2 a What is the closest to 37.51 in 4, -2, -0.008? 4 What is the closest to 3 in -2/15, 0.1, 116, -13, -28, -0.3? 0.1 Which is the closest to 0.3? (a) 245281 (b) 4 (c) 0.1 (d) -0.2 c Which is the closest to 1/5? (a) -1/13 (b) 1/2 (c) -4 (d) 1/98 (e) -2/7 d What is the closest to -93/2 in -0.02, 4/3, -656, 2/13, -0.3? -0.3 What is the closest to -2/501 in 2/59, -5, 1? 2/59 What is the closest to 2/5 in -3, -4/7, 649270, 9/5? -4/7 Which is the closest to -192? (a) 5 (b) 2 (c) -68.5 (d) -2 (e) 1/2 c Which is the closest to 7? (a) -5 (b) 3071 (c) -0.5 (d) 1 d Which is the closest to 7? (a) 0.4 (b) -15 (c) 0.005032 a What is the nearest to -1 in -0.09, 2, 0.5, 223/7, 2.5? -0.09 Which is the nearest to 1? (a) -4 (b) 720 (c) -97/25 c What is the nearest to 0.4 in -0.28, -245, -2/5, 2/5? 2/5 What is the nearest to -80 in 5, -2, -0.17, -85, -11, -3? -85 Which is the nearest to 10500/13? (a) 0.3 (b) -2 (c) 105 c What is the closest to 3 in -0.1, -3/16, 1, -266/11? 1 Which is the closest to -19067? (a) -66 (b) 1/3 (c) -1/6 a Which is the closest to -2/199? (a) 5 (b) 1.96 (c) 3 (d) 17/5 b Which is the nearest to 0.2? (a) -4 (b) -0.4 (c) -41 (d) -7.86 (e) 279 b Which is the nearest to -2? (a) 0.14 (b) 3/5 (c) 5 (d) 0.4 (e) 5.6 (f) 17/22 a What is the closest to -9 in -72, -0.3, 28, -3? -3 What is the closest to -0.1 in -2/13, 0.71, -5115.811? -2/13 What is the nearest to 1/4 in -11, 10.5, -7.4, 21? -7.4 Which is the nearest to 5/2? (a) -0.3 (b) -2/3 (c) -3/6514 (d) 1 d What is the nearest to 0.1 in -0.03, -1, 7999, 3? -0.03 Which is the nearest to 4? (a) 0.05 (b) -1 (c) 1/212 (d) 0.3 (e) 1/4 d What is the closest to -0.2 in -1, -3, -32/2836939? -32/2836939 What is the nearest to 1 in 0, 1/5, 2.3, -1312/13, 0.5? 0.5 What is the nearest to 103 in -2/5, -0.2, -1, 3350? -0.2 Which is the closest to -83415/4? (a) 0.1 (b) 4 (c) -0.3 c What is the nearest to 0 in 0.1, -1, -1/44, 7.5, 2/9? -1/44 Which is the nearest to 1/5? (a) 2/73 (b) -3930 (c) 4 (d) 14 (e) -2 a What is the closest to 94004 in 1/4, -0.4, 4/5? 4/5 What is the nearest to -5/24 in 1/2, -2/3, 0.2, -452, 5? 0.2 What is the nearest to 15525 in -0.06, 0.08, 0.3? 0.3 Which is the nearest to -3? (a) 4 (b) -0.4 (c) -614 (d) 5 (e) 1/16 b What is the nearest to -11 in 3, 151, -81, -5/6? -5/6 Which is the nearest to 0.2? (a) 2/7 (b) -2/3 (c) 2
{ "pile_set_name": "DM Mathematics" }
48. Is t composite? True Suppose 467 = -2*h + h. Let x = h + 901. Let v = x - 147. Is v prime? False Suppose -29 = 2*p - 133. Suppose 0 = -5*b + j - 25, -4*b + 0*j - 4*j + 4 = 0. Is ((-13)/b + -2)*p composite? True Suppose -m + 470 = 5*p, 4*p + 2*m - 370 = -0*p. Let q be p/(-2) - (-1)/(-2). Let a = q + 86. Is a prime? False Let s be ((-1)/(-3))/(1/279). Let q = 164 - s. Is q composite? False Let q(m) be the third derivative of -m**4/6 + m**3/6 - m**2. Let g be q(-3). Suppose -5*l - 3 = -g. Is l composite? False Suppose 0 = y - t - 3*t + 12, 3*t - 9 = 3*y. Suppose 5*j + 16 - 111 = y. Is j composite? False Suppose -497 = -5*z + 138. Is z a composite number? False Suppose 7*j = -3*c + 2*j + 78, 0 = 5*c + 3*j - 146. Is c a prime number? True Let g(u) = 2 + u - 2 + 0*u + 7. Let q be g(-5). Let s = 27 - q. Is s a composite number? True Let i = 765 - 377. Is 2/4 - i/(-8) a composite number? True Let z be (-3)/(-2)*8/3. Let h(f) be the first derivative of f**3/3 - f**2 + 6*f - 1. Is h(z) a prime number? False Let i = 5 + -1. Suppose 6*j + 40 = 10*j. Suppose 5*b + j = 0, -i*a - 26 = -5*b - 168. Is a prime? False Let g(j) = -4 + 13*j + 3 - 73*j - 8*j. Is g(-1) a composite number? False Let y(u) be the third derivative of -u**6/60 - u**5/60 + 5*u**4/24 - 7*u**3/6 + 7*u**2. Is y(-6) prime? True Suppose -z - z = -2*s - 272, -5*z + 680 = -2*s. Let y be ((-118)/8)/((-9)/36). Let u = z - y. Is u prime? False Let t = -11 + 7. Let x(p) = -10*p - 3. Is x(t) a composite number? False Suppose -3*i = -7*i + 12. Suppose 257 = 4*c - i*c. Is c composite? False Let k(i) = 8*i**2 + 1 - 1 + i + 2 + 0 + i**3. Let b be k(-8). Let q = b + 16. Is q a prime number? False Let f(v) = v**3 - 7*v**2 + 7*v - 4. Let c be f(6). Suppose 4*t = p - 51, 3*t + 19 = -5*p - 2. Is (-6)/(-6) - t/c a prime number? True Let i = -2 + 4. Suppose 0 = -0*m + i*m - 74. Is m composite? False Let i = -4 + 6. Suppose v = i*v - 4. Suppose 2*t = v*p - 348, t = -2*t + 12. Is p prime? True Suppose 0 = 4*x + 15 + 17. Let k(l) = -l**2 - 9*l - 2. Let z be k(x). Suppose 3*t - t = z. Is t a prime number? True Suppose -2*u - 6 = -4*u. Suppose -u = 4*s + 5. Is (s + 11)*1 + 1 composite? True Let v be 214/(-1)*2/4. Let f = -3 - v. Suppose -o + f = 9. Is o prime? False Let c(t) = -t**2 + 8*t + 1. Suppose 2*l = 6*l. Suppose 27 = 4*a - 3*u, 5*a - 5*u - 31 - 4 = l. Is c(a) composite? False Suppose -a - 2 = 1. Is (-70)/30*a*2 a prime number? False Let v(w) = 4*w**2 - 1. Let n be v(1). Suppose -24 = -n*s - s. Is s composite? True Suppose 4*o - 10 = -t, 2*t + t - 5*o = -55. Suppose 3*r = -4*w + 107, 4*w = 2*w - r + 51. Let p = w + t. Is p a prime number? True Let y = -1859 - -3090. Is y a composite number? False Let p = 108 + -53. Let x = 140 - p. Is x composite? True Let j(f) = -545*f + 71. Is j(-6) prime? False Suppose p + 345 = 2*p + t, -3*p = -2*t - 1015. Is p a composite number? True Let t = 22 + -17. Is -3*t/(60/(-412)) composite? False Suppose -5*r - 5*c + 51 + 2189 = 0, 3*r - 1347 = -2*c. Is r a prime number? False Suppose -3*z - 3*f - 3 = -0*f, 6 = -3*f. Let m be -3 - (1 - 0 - z). Is -1 - (m + 5 + -24) prime? False Suppose y - 2*c = 64, -5*c + 308 = -y + 5*y. Suppose -z - y = -2*a + a, 5*a + 5*z = 380. Is a a composite number? True Let f = 66 + 45. Is f composite? True Let s(a) = 20*a**3 - a**2 - 4*a + 4. Let d be s(3). Suppose x + d = 4*i - 0*i, -3*i - 2*x = -395. Is i a composite number? False Let c(o) = -o**2 + 2*o**2 + 1 - 8 + 6*o. Let d be c(-7). Suppose 4*u = u - 2*r + 46, d = -5*u + r + 68. Is u composite? True Let o = 3471 - 210. Is o prime? False Let c be (-2)/1*59/2. Let g = -36 - c. Suppose 5*p - g = 12. Is p a prime number? True Let y be (-1)/(6/(-5) - -1). Suppose -2*w - 1 = -3*q - y, -4 = -2*w - 5*q. Suppose w*g + 4 = 30. Is g a prime number? True Let f(u) be the first derivative of 11*u**7/420 - u**6/360 - 2*u**3/3 + 2. Let w(v) be the third derivative of f(v). Is w(1) a composite number? True Suppose -3*o + 6*a - 4*a + 799 = 0, 774 = 3*o + 3*a. Is o prime? True Let f(o) be the second derivative of 2*o**4/3 - o**3/3 + o**2/2 - 3*o. Suppose -x = 2*l - 11, 0 = -2*x - l - 0*l + 7. Is f(x) a composite number? False Let a(f) = f**3 - 7*f**2 + 5*f + 9. Suppose 3*o + 16 = 40. Is a(o) a composite number? False Let m(h) = h**3 + 16*h**2 - 7*h - 13. Is m(-15) a composite number? False Let t(x) be the third derivative of -x**4/24 - x**3/3 + 2*x**2. Let d be t(-3). Is 16*d - (2 - 0) a composite number? True Is ((-7389)/27*-6)/(4/10) prime? False Let h(i) = -2*i + 2. Let p be h(-6). Is (3 - p)*(-2 - 1) composite? True Let y = 5 + -3. Suppose -42 = y*t - 3*t. Is (-551)/(-7) - (-12)/t composite? False Let s(q) = -q**3 + q**2 - q - 1. Let p(b) = b**2 + b. Let v(j) = 4*p(j) + s(j). Let g be v(6). Let a = 46 - g. Is a a prime number? False Let q = 236 - -506. Suppose -2*h + 4*h = q. Is h a prime number? False Let t(x) = -3*x**2 + 2*x**2 + 19*x - 13 + 22. Is t(14) a composite number? False Let q(f) = f**2 + 2*f - 1. Let v be q(2). Let s = -3 + v. Suppose 40 = -s*a + 348. Is a prime? False Let y = -550 - -799. Is y a composite number? True Suppose -9851 = -17*s + 876. Is s prime? True Suppose 5*m = -25, 0 = -5*q + 5*m - 1 + 46. Suppose 69 = 4*p + q*a + 13, -2*p + 4*a = -22. Is p composite? False Suppose 88 = 5*o - 167. Let t = o + 6. Is t a composite number? True Let x = 5 - 3. Suppose q = -0*q + x. Suppose 195 = 5*a - 2*l, -q*l + 10 = -4*l. Is a a prime number? True Let m be (1 + -2 - -2)*66. Let x = m + -31. Is x a composite number? True Suppose 2*y - 2321 = 353. Is y a prime number? False Let l = 11 + -32. Let y = 102 + l. Let g = y + -48. Is g a prime number? False Let o be (-1)/2 + (-10935)/(-30). Suppose 2*r - 9 = -r, 2*q - 2*r = o. Is q a prime number? False Suppose -93 = 5*q + 82. Let t = q + 57. Is t a composite number? True Let h be ((-8)/6)/((-3)/(-63)). Let j = -20 - h. Is 26*14/j*2 a prime number? False Suppose 0 = v + 3*j - 378, -3*j = 3*v - 6*j - 1146. Is v a composite number? True Let y(m) be the second derivative of -11*m**4/12 - 7*m**3/6 + 3*m**2/2 + 3*m. Let i(j) be the first derivative of y(j). Is i(-9) composite? False Let m(l) = -4*l + 5. Let r(x) = x - 1. Let i(a) = a**2 - 4*a - 3. Let p be i(3). Let s(c) = p*r(c) - m(c). Is s(-3) a prime number? True Suppose -2*z + 1213 = 3*r, 3*r - 4*z - 1228 = -9*z. Suppose -2*x + 7*x - 2005 = -4*n, -x + r = 5*n. Is x composite? False Suppose 6942 = 14*d - 8*d. Is d a composite number? True Suppose 452 = o + 3*o. Is o prime? True Let o = -1987 + 3324. Is o a prime number? False Let a = -11 + 15. Suppose 3*w - 4*k = a*w + 11, 4*k = -3*w - 9. Is 234/24 - w/(-4) composite? True Let h(t) = 6*t**2 - 1. Let p be h(-1). Suppose 5*c + 297 = 2*s, 5 = p*c - 20. Is s prime? False Let u = 300 + -203. Is u a prime number? True Let f(j) be the third derivative of 7*j**4/24 - 5*j**3/6 + 2*j**2. Let q be f(4). Suppose 0 = 2*x - x - q. Is x a composite number? False Let z = 25 - 11. Suppose -2*m - 2*h - 1 = -9, 5*m + 2*h = z. Suppose -3*r - m*r + 45 = 0. Is r prime? False Let w(h) = h**3 - 5*h**2 + 7*h - 5. Let t(c) = c**2 + 6*c - 3. Let k be t(-7). Let z be w(k). Let v = z + 0. Is v a composite number? False Let f(a) = 6*a - 1 - 4*a**2 - 1 + 5*a**2. Let p be f(-7). Suppose r - p - 4 = 0. Is r a composite number? True Let h(b) = 10*b - 5. Let p = 7 + -7. Let q be (0 - 3 - p) + 7. Is h(q) a prime number? False Let z(h) = 10*h**2 + 6*h + 7. Is z(-3) prime? True Suppose 0*z - 2 = -2*z. Suppose 0 = -4*c - z + 13. Is (-1)/((-9)/165)*c composite? True Let s be (-1546)/(-1) - (0 + 3). Suppose 4*g = 273 + s. Let k = 707 - g. Is k a prime number? False Suppose -3*r + 5*w + 37 = 0, -2*r - 14 = -3*r + 2*w. Suppose r*g + 0*g - 356 = 0. Is g a prime number? True Let w be 0/1*(-8)/16. Let l(h) = -h**2 - h + 11. Is l(w) a prime number? True Is 31/(2/(-56)*-4) prime? False Suppose c + 4*d = -0*d + 30, -234 = -5*c + d. Is c prime? False Let g(n) = 9*n**2 - 6 - 2*n**3 + 5 - n + 5 + 3*n**3. Is g(-9) composite? False Suppose 5*i - 191 - 189 = 0. Suppose -g - g = -i. Is g composite? True Is (-398)/3*42/(-28) a prime number? True Suppose -76 = -w + 65. Is w a composite number? True Is (-10)/(-15) - 2/(6/(-5449)) composite? True Suppose -5*z + 3*a = -936 - 544, 1490 = 5*z - 5*a. Is z a compos
{ "pile_set_name": "DM Mathematics" }
0 Convert 54914.55 millilitres to litres. 54.91455 How many microseconds are there in 79048.7ns? 79.0487 How many millilitres are there in 21/5 of a litre? 4200 How many millennia are there in 93.69842 years? 0.09369842 What is three tenths of a milligram in micrograms? 300 What is eleven tenths of a minute in seconds? 66 What is 29/5 of a kilogram in grams? 5800 What is 4/3 of a hour in seconds? 4800 What is fourty-nine fifths of a litre in millilitres? 9800 What is one fifth of a century in decades? 2 How many millennia are there in 5815.117 years? 5.815117 How many millilitres are there in 5/4 of a litre? 1250 How many seconds are there in 1703.166 minutes? 102189.96 How many nanograms are there in 1/10 of a microgram? 100 Convert 2.931704 hours to milliseconds. 10554134.4 What is 688.6229 litres in millilitres? 688622.9 What is 25/4 of a meter in centimeters? 625 What is 6.817951t in milligrams? 6817951000 Convert 2988.3672 months to millennia. 0.2490306 Convert 852.9434 grams to micrograms. 852943400 How many seconds are there in 1606.1 microseconds? 0.0016061 Convert 689990.8 litres to millilitres. 689990800 How many microseconds are there in 6.010694 nanoseconds? 0.006010694 What is 60913.99 millilitres in litres? 60.91399 Convert 43.43379mm to kilometers. 0.00004343379 Convert 0.3518544 millennia to decades. 35.18544 What is 17/4 of a litre in millilitres? 4250 What is 458006.6ug in milligrams? 458.0066 How many litres are there in 778455.2 millilitres? 778.4552 What is 275459.8 days in microseconds? 23799726720000000 How many millilitres are there in 11/4 of a litre? 2750 What is 0.4363094 millilitres in litres? 0.0004363094 What is three fifths of a litre in millilitres? 600 Convert 8.701632 seconds to microseconds. 8701632 How many minutes are there in nine tenths of a day? 1296 How many decades are there in twenty-six fifths of a century? 52 Convert 94640.19 tonnes to kilograms. 94640190 What is 2.596291 decades in months? 311.55492 What is thirteen fifths of a milligram in micrograms? 2600 Convert 936426.8l to millilitres. 936426800 How many decades are there in 5/4 of a millennium? 125 Convert 359411.1 millennia to decades. 35941110 What is 73/4 of a kilometer in meters? 18250 What is sixty-seven quarters of a century in months? 20100 How many days are there in 102.120318s? 0.001181948125 Convert 1.570031 nanometers to kilometers. 0.000000000001570031 Convert 230102.7ns to seconds. 0.0002301027 Convert 64.68271 milligrams to kilograms. 0.00006468271 What is 2/15 of a century in months? 160 Convert 6.609174 centuries to years. 660.9174 Convert 1.521621 decades to millennia. 0.01521621 How many micrometers are there in seven quarters of a millimeter? 1750 What is 1/18 of a week in seconds? 33600 What is eleven halves of a litre in millilitres? 5500 How many microseconds are there in 6.926225 hours? 24934410000 What is 11/4 of a litre in millilitres? 2750 What is eighteen sevenths of a week in days? 18 What is 4.2724872ms in hours? 0.000001186802 How many micrograms are there in 34/5 of a milligram? 6800 How many millilitres are there in 5/4 of a litre? 1250 What is 67.73088 days in weeks? 9.67584 How many nanograms are there in twenty-five halves of a microgram? 12500 How many micrograms are there in 3/5 of a milligram? 600 What is 88/5 of a second in milliseconds? 17600 What is one sixth of a hour in minutes? 10 How many meters are there in 11/2 of a kilometer? 5500 What is 37733.58 milligrams in kilograms? 0.03773358 How many microseconds are there in 65258.34 nanoseconds? 65.25834 How many months are there in eighteen fifths of a century? 4320 What is 334702.7 millilitres in litres? 334.7027 Convert 43.9082 centuries to years. 4390.82 What is 419107.4m in kilometers? 419.1074 Convert 0.836241um to meters. 0.000000836241 What is 148380.8g in kilograms? 148.3808 How many months are there in 5/6 of a decade? 100 What is 6012.726 milligrams in kilograms? 0.006012726 Convert 571499.9 litres to millilitres. 571499900 How many centimeters are there in one quarter of a kilometer? 25000 Convert 1.506411 minutes to seconds. 90.38466 What is 798.6382 weeks in minutes? 8050273.056 What is 16357.173 hours in weeks? 97.364125 Convert 5841.572 nanometers to micrometers. 5.841572 How many months are there in 3/5 of a millennium? 7200 How many kilograms are there in thirty-seven halves of a tonne? 18500 What is 3/7 of a week in minutes? 4320 What is 8.472382 meters in kilometers? 0.008472382 How many microseconds are there in 0.6934778 minutes? 41608668 Convert 670746.6 meters to micrometers. 670746600000 How many weeks are there in 16912721.7ns? 0.00000002796415625 How many centimeters are there in 898.0561 kilometers? 89805610 What is 965204.5l in millilitres? 965204500 What is 5836.15 decades in millennia? 58.3615 What is 60.48709ug in tonnes? 0.00000000006048709 What is 736376.1 kilograms in grams? 736376100 How many centimeters are there in seventeen halves of a meter? 850 How many millilitres are there in 7956.754 litres? 7956754 Convert 14.275236 months to years. 1.189603 What is 4353.32s in nanoseconds? 4353320000000 How many millilitres are there in fourty-one halves of a litre? 20500 What is 193.6229ml in litres? 0.1936229 How many kilograms are there in 8/25 of a tonne? 320 What is 2/9 of a day in seconds? 19200 What is 426434.1 millimeters in meters? 426.4341 Convert 64.23444 hours to microseconds. 231243984000 What is 428881.8 litres in millilitres? 428881800 How many micrograms are there in 3/10 of a milligram? 300 How many micrograms are there in 8.24634t? 8246340000000 What is fifty-four fifths of a litre in millilitres? 10800 What is 442.5456 millilitres in litres? 0.4425456 How many milligrams are there in twenty-seven halves of a gram? 13500 What is 668.9594 milliseconds in nanoseconds? 668959400 What is 37/2 of a millennium in years? 18500 How many grams are there in one tenth of a tonne? 100000 Convert 196.1422 days to microseconds. 16946686080000 Convert 0.36777 centimeters to millimeters. 3.6777 What is six fifths of a meter in centimeters? 120 How many hours are there in 18/7 of a week? 432 How many millilitres are there in fifteen quarters of a litre? 3750 How many seconds are there in 8.183174 weeks? 4949183.6352 How many years are there in 1572.8787 months? 131.073225 How many centimeters are there in one fifth of a kilometer? 20000 What is 28089.46 days in nanoseconds? 2426929344000000000 How many years are there in 31375.53 months? 2614.6275 What is 3/8 of a millennium in years? 375 How many micrograms are there in three tenths of a milligram? 300 How many nanograms are there in 610.2968 tonnes? 610296800000000000 How many months are there in 19/4 of a year? 57 What is 0.1088378mg in micrograms? 108.8378 Convert 21154.12 nanometers to meters. 0.00002115412 What is 665.3712 weeks in days? 4657.5984 Convert 7466.626 tonnes to nanograms. 7466626000000000000 How many nanometers are there in fifty-one halves of a micrometer? 25500 What is 1.112683 centuries in months? 1335.2196 Convert 6417.23 millilitres to litres. 6.41723 Convert 780677.7km to micrometers. 780677700000000 How many micrometers are there in 241.2083 kilometers? 241208300000 What is one quarter of a tonne in kilograms? 250 What is fifty-four fifths of a tonne in kilograms? 10800 What is 48748.2ns in seconds? 0.0000487482 What is five eighths of a millimeter in micrometers? 625 Convert 99.1234 litres to millilitres. 99123.4 How many millilitres are there in fourty-eight fifths of a litre? 9600 Convert 2112.801l to millilitres. 2112801 What is 11/2 of a week in hours? 924 What is one fifth of a century in months? 240 How many millimeters are there in three eighths of a meter? 375 What is 3/5 of a litre in millilitres? 600 Convert 1898.24 centimeters to micrometers. 18982400 What is 37824.58ml in litres? 37.82458 What is three eighths of a century in months? 450 What is three fifths of a milligram in micrograms? 600 How many nanograms are there in 1/10 of a milligram? 100000 What is 666.0752 hours in nanoseconds? 2397870720000000 What is eight fifteenths of a minute in milliseconds? 32000 What is seven quarters of a microgram in nanograms? 1750 What is o
{ "pile_set_name": "DM Mathematics" }
5*c**3 + 0*c - 1. Let t(z) be the second derivative of a(z). Solve t(m) = 0. -1/3, 2 Let l(g) be the third derivative of g**8/53760 - g**6/1920 - g**5/10 - 33*g**2. Let w(s) be the third derivative of l(s). Factor w(m). 3*(m - 1)*(m + 1)/8 Let t = -68 + 14. Let f = t + 54. Factor f*h + 2/11*h**3 - 2/11*h**4 + 0*h**2 + 0. -2*h**3*(h - 1)/11 Suppose 94 = -2*h + 4142. Factor 3760*i**2 - 664*i + h*i + 640*i**4 + 160 + 970*i**4 + 245*i**5 + 3800*i**3. 5*(i + 2)**3*(7*i + 2)**2 Let m(j) be the second derivative of 0 + 0*j**5 + 1/6*j**4 + 0*j**3 + 0*j**2 + 8*j - 1/15*j**6. Solve m(z) = 0 for z. -1, 0, 1 Factor 4/21*x**3 + 0 - 2/21*x**4 + 16/21*x**2 + 0*x. -2*x**2*(x - 4)*(x + 2)/21 Suppose -m + 85 = 4*m. Let z = m - 15. Let z*h**2 + 9*h - 11*h**2 - 4 - 7*h**2 + 11*h = 0. Calculate h. 1/4, 1 Let w(x) be the second derivative of -x**7/231 - 4*x**6/55 - 2*x**5/11 + 122*x. Suppose w(k) = 0. What is k? -10, -2, 0 Let b(q) = -12*q**2 + 12*q - 4. Suppose 5*z = -2*v + 14, 2*z + 3*v = -z + 3. Let g(h) = -12*h**2 + 11*h - 3. Let j(i) = z*g(i) - 3*b(i). Factor j(k). -4*k*(3*k - 2) Let k = 386 + -382. Factor 0 - 2/5*a**2 + 0*a + 2/5*a**k + 2/5*a**5 - 2/5*a**3. 2*a**2*(a - 1)*(a + 1)**2/5 Factor -106*q**2 - 84*q**2 - 108*q + 49*q**2 - 180*q - 12. -3*(q + 2)*(47*q + 2) Suppose -2/19*y**3 + 0 + 4/19*y - 6/19*y**4 + 6/19*y**2 - 2/19*y**5 = 0. What is y? -2, -1, 0, 1 Let z(g) be the second derivative of -g**4/21 - 43*g**3/42 + 11*g**2/14 + 6*g. Find l, given that z(l) = 0. -11, 1/4 Let f = 103 - 87. Suppose v + 7*v = f. Factor -8/11*s - 2/11*s**v - 8/11. -2*(s + 2)**2/11 Let 1/2*v**3 + v**2 - 1 - 1/2*v = 0. What is v? -2, -1, 1 Let y(r) be the first derivative of r**4/6 + 28*r**3/9 + 25*r**2/3 + 8*r + 711. Factor y(c). 2*(c + 1)**2*(c + 12)/3 Factor -1103 + 5*g**2 + 2294 + 1121 + 136*g - 3*g**2. 2*(g + 34)**2 Let a(b) be the first derivative of b**6/10 + 3*b**5/5 + 3*b**4/4 - 2*b**3 - 6*b**2 + 11*b + 6. Let x(q) be the first derivative of a(q). Factor x(h). 3*(h - 1)*(h + 1)*(h + 2)**2 Let m be ((-8)/(-7) + -2)*4*84/(-96). Factor 4/3 + 14/3*t**2 + 4/3*t**m + 14/3*t. 2*(t + 1)*(t + 2)*(2*t + 1)/3 Let g = 24 - 9. Determine t so that g - 7*t + t + 4*t**2 - 10*t - 3 = 0. 1, 3 Let k(b) be the first derivative of -5 - 1/20*b**5 - 1/2*b**2 + 1/6*b**3 + 1/12*b**4 + 4*b. Let t(z) be the first derivative of k(z). Factor t(q). -(q - 1)**2*(q + 1) Let t(y) be the first derivative of -y**5 + 5*y**4/4 + 5*y**3 - 25*y**2/2 + 10*y + 255. Find i such that t(i) = 0. -2, 1 Let d(v) be the third derivative of -v**9/272160 + v**7/22680 + v**5/5 + 12*v**2. Let k(f) be the third derivative of d(f). Factor k(g). -2*g*(g - 1)*(g + 1)/9 Let s(v) be the first derivative of -3*v**5/5 + 75*v**4/4 - 199*v**3 + 1269*v**2/2 + 1944*v - 352. Factor s(p). -3*(p - 9)**2*(p - 8)*(p + 1) What is h in -8*h - 8*h**2 + 18*h**2 + 5*h**3 - 7*h = 0? -3, 0, 1 Suppose 5*v - 45 = 3*c, -5*c + 49 = 2*v - 0*v. Suppose -4*n = -7*n + 5*x + v, 4*n - x - 16 = 0. Factor -6/5*b**n + 0*b + 4/5*b**3 + 2/5*b**2 + 0. -2*b**2*(b - 1)*(3*b + 1)/5 Let j(v) be the third derivative of v**6/30 + 46*v**5/15 - 47*v**4/6 - 153*v**2 - v. What is i in j(i) = 0? -47, 0, 1 Let g(w) be the third derivative of -w**8/126 + 11*w**6/180 + w**5/10 + w**4/18 - 414*w**2 - 2*w. Find p such that g(p) = 0. -1, -1/2, 0, 2 Let v(h) = -h - 20. Let r be v(-11). Let l(f) = -f**3 - 10*f**2 - 11*f - 16. Let y be l(r). Factor 3*w**3 - 2 + 0 - 9*w - y - 2. 3*(w - 2)*(w + 1)**2 Let y(w) be the third derivative of -1/6*w**4 + 0 + 0*w + 0*w**3 + 2*w**2 - 1/3*w**5 - 5/24*w**6. Determine f so that y(f) = 0. -2/5, 0 Let y(j) be the third derivative of j**7/420 + 73*j**6/240 + 143*j**5/120 + 71*j**4/48 - 2*j**2 + 125*j. Determine d so that y(d) = 0. -71, -1, 0 Let l(m) be the second derivative of -m**7/42 - 3*m**6/8 - 2*m**5/3 + 14*m**2 + 19*m. Let n(u) be the first derivative of l(u). Suppose n(k) = 0. Calculate k. -8, -1, 0 Let u(w) be the first derivative of -w + 11 - 9/2*w**2 - 4*w**4 - 8*w**3. Factor u(x). -(x + 1)*(4*x + 1)**2 Let a(v) be the second derivative of -v**6/135 + 11*v**5/10 + 101*v**4/18 + 305*v**3/27 + 34*v**2/3 + 1017*v. Factor a(d). -2*(d - 102)*(d + 1)**3/9 Let f(t) be the third derivative of -t**5/30 + 7*t**4/6 - 49*t**3/3 + 18*t**2. Factor f(r). -2*(r - 7)**2 Let t = 181/426 + 16/213. Let 0 - 1/2*l**2 + 0*l - t*l**3 = 0. Calculate l. -1, 0 Factor -40/13 - 2/13*u**2 + 42/13*u. -2*(u - 20)*(u - 1)/13 Factor -4*n - 16*n + 1 - 20*n**2 + 9 + 21*n - 15*n**3 + 4*n. -5*(n + 1)**2*(3*n - 2) Let i(m) be the second derivative of 2*m**6/15 + 4*m**5/5 - 92*m**4/3 - 128*m**3 + 4608*m**2 - 273*m. Factor i(h). 4*(h - 6)**2*(h + 8)**2 Let k(u) be the third derivative of u**10/80640 - u**8/8960 + u**6/1920 - u**4/4 - 12*u**2. Let i(w) be the second derivative of k(w). Factor i(y). 3*y*(y - 1)**2*(y + 1)**2/8 Let m(r) = -7*r**3 + 13*r - 10. Let b = 12 + -10. Let a be (-2)/(-2 - (b - 2)). Let s(q) = -q**3 + q - 1. Let o(t) = a*m(t) - 4*s(t). Factor o(c). -3*(c - 1)**2*(c + 2) Factor 0*k - 5/4*k**3 + 0 - 7/2*k**2 + 1/4*k**4. k**2*(k - 7)*(k + 2)/4 Factor 23/2*o - 4 - 21/2*o**2 + 1/2*o**4 + 5/2*o**3. (o - 1)**3*(o + 8)/2 Suppose -2*x + 3*i = 3, 2*i + 5 = 7*i. Let u(m) be the second derivative of -4*m**2 + 2/3*m**3 + x + 1/3*m**4 + 11*m. Factor u(c). 4*(c - 1)*(c + 2) Let k(z) = 15*z**3 + 5*z**2 + 20*z. Let r(n) = n + 6237*n**2 - 6237*n**2 + n**3. Let g(h) = -k(h) + 20*r(h). Factor g(j). 5*j**2*(j - 1) Solve 0 - 2/7*h**3 + 2/7*h + 0*h**2 = 0 for h. -1, 0, 1 Let r(z) be the third derivative of z**7/1470 - 17*z**6/840 - 13*z**5/140 + 17*z**4/168 + 19*z**3/21 - 2*z**2 - 39. What is j in r(j) = 0? -2, -1, 1, 19 Let p(a) = 26*a**2 + 24*a - 22. Let t(g) be the second derivative of -3*g**4/4 - 4*g**3/3 + 7*g**2/2 - 6*g. Let w(v) = -3*p(v) - 10*t(v). What is o in w(o) = 0? -1, 1/3 Let j(u) = -u**3 - 7*u**2 + 41*u + 171. Let i(b) = -3*b**3 - 20*b**2 + 124*b + 514. Let a(y) = 4*i(y) - 11*j(y). Solve a(k) = 0 for k. -5, 7 Let -32*z**2 - 25*z + 27*z**2 + 271 - 201 = 0. What is z? -7, 2 Let j(n) be the second derivative of 5*n - 6*n**2 + 0 + 6*n**3 - 5/4*n**4. Factor j(z). -3*(z - 2)*(5*z - 2) Suppose -4*v + 64 = -4*w, 2*v - 2*w = 3*v - 13. Let h be ((-20)/v)/((-20)/6). What is z in 0 + 4/5*z - 2/5*z**2 - h*z**3 = 0? -2, 0, 1 Let u(n) = -n**2 - 3*n. Let t(p) = -3*p**2 - p**2 - p**2 - 13*p. Let x be (54/108)/((-1)/18). Let g(v) = x*u(v) + 2*t(v). Solve g(o) = 0 for o. 0, 1 Factor 4/3*y**3 - 5/3*y**2 + 2/3*y - 1/3*y**4 + 0. -y*(y - 2)*(y - 1)**2/3 Let r(v) = v**2 + v - 3. Let p(k) be the third derivative of k**5/30 + k**4/12 - 5*k**3/3 + 13*k**2. Let i(c) = 3*p(c) - 10*r(c). Let i(a) = 0. What is a? -1, 0 Let x(a) = a**3 + 5*a**2 - 8*a + 13. Let v be x(-7). Let k = v + 29. Factor k - 2/7*t**4 + 4/7*t**3 + 2/7*t**2 - 4/7*t. -2*t*(t - 2)*(t - 1)*(t + 1)/7 Let u = 58 + -58. Suppose u = -2*a - i, 4*a + 2*i - i - 4 = 0. Let -1/8*q + 1/8*q**a - 1/4 = 0. Calculate q. -1, 2 Let t(s) be the second derivative of s**4/4 - s**3 + 3*s**2/2 - 97*s. Determine q, given that t(q) = 0. 1 Solve 6*p - 30*p**3 - 15*p**2 - 90 + 44*p - 5*p**4 + 90 = 0 for p. -5, -2, 0, 1 Let c = 21 - 1. Let -c - 7*o**2 - 12*o**2 + 24*o**2 + 15*o = 0. Calculate o. -4, 1 Let o(n) be the second derivative of -n**7/630 - n**6/180 + n**4/4 + 9*n. Let w(m) be the third derivative of o(m). Factor w(l). -4*l*(l + 1) Let a = -11 + 13. Let -96*g**3 + 15*g**2 + 51*g**5 - 198*g**5 + 231*g**4 - 3*g**a = 0. What is g? 0, 2/7, 1 Let o(w) be the third derivative of w**6/24 + w**5/2 + 236*w**2. Find b such that o(b) = 0. -6, 0 Factor 4 + 1/5*m**2 - 21/5*m. (m - 20)*(m - 1)/5 Let g(f) be the third derivative of f**8/336 + 2*f**7/35 + 4*f**6/15 - 7*f**5/6 - 75*f**4/8 + 125*f**3/3 + 39*f**2. Find i, given that g(i) = 0. -5, 1, 2 Let b(g) be the third derivative of 1/600*g**6 - 2/15*g**3 + 0*g**4 + 0*g + 1/100*g**5 + 0 + 14*g**2. Factor b(n). (n - 1)*(n + 2)**2/5 Suppose 38*z = 43*z - 15. Let y(s) be the third derivative of 1/735*s**7 + 0*s - 4*s**2 + 0*s**4 + 0*s**z - 1/1176*s**8 + 0*s**5 + 0 + 0*s**6. Factor y(h). -2*h**4*(h - 1)/7 Find b such that -3*b**3 - 9/8*b**2 + 33/4*b + 6 + 3/8*b**4 = 0. -1, 2, 8 Suppose -754 = -7*h - 719. Let d(z) be the first derivative of -1/4*z**2 + 1/6*z**3 + h + 0*z - 1/32*z**4. Factor d(p). -p*(p - 2
{ "pile_set_name": "DM Mathematics" }
3*z**3 + 5*z**2 - 5/2*z**4 + 9 + z**5 + 0*z. Factor k(v). 5*v*(v - 2)*(v - 1)*(v + 1) Let p = -82 - -85. Suppose -5*f - 65 = -6*z + p*z, z - 3*f = 19. Let 170*n**2 - z*n**3 + 10 - 210*n**2 - 20*n**5 + 44*n**4 + 16*n**4 + 15*n = 0. What is n? -1/2, 1, 2 Let t be -8 - -11 - (-4)/4. Let l(p) be the third derivative of 1/7*p**3 + 0*p - 1/210*p**5 + t*p**2 + 0 + 1/42*p**4. Factor l(q). -2*(q - 3)*(q + 1)/7 Let b = -172 - -162. Let f(n) = 27*n**3 + 267*n**2 + 130*n + 21. Let s(o) = 14*o**3 + 134*o**2 + 65*o + 10. Let x(z) = b*s(z) + 4*f(z). Factor x(w). -2*(w + 8)*(4*w + 1)**2 Let t be ((-30)/12)/5*-6. Let w be 2 + (6 - (9 - t)). Let -10/3*j - 4/3 + w*j**2 = 0. What is j? -1/3, 2 Let y(c) be the first derivative of c**4/14 - 18*c**3/7 + 74*c**2/7 - 96*c/7 - 2017. Suppose y(d) = 0. Calculate d. 1, 2, 24 Suppose 4*j - 383 = u, -5*j + 465 = -3*u - u. Factor -95*w**4 + 8*w + 1 + 18*w**2 + 12*w**3 - 1 + j*w**4. 2*w*(w + 1)**2*(w + 4) Suppose -3*m = -3, -b = -6*b + 3*m + 7. Suppose 50*v - 24*v = -53*v - 25*v. What is n in -1/4*n**b - n + v = 0? -4, 0 Let z(h) = -7*h**5 + 8*h**4 + 3*h**3. Let i = 108 + -103. Let f(m) = 8*m**5 - 9*m**4 - 4*m**3. Let p(x) = i*z(x) + 4*f(x). Factor p(n). -n**3*(n - 1)*(3*n - 1) Let y = 32 - 47. Let x be (80/36)/((-10)/y). Factor 0 + 1/3*g**4 - x*g**3 + 0*g + 25/3*g**2. g**2*(g - 5)**2/3 Let i = 14393/18412 - 146/4603. Factor -21/2 + 15/4*d + i*d**2. 3*(d - 2)*(d + 7)/4 Suppose j + 0*j - 22 = 3*l, -5*l - 42 = -3*j. Let p(k) be the second derivative of 0 + 2*k**2 - 1/6*k**j - 1/15*k**6 - 22*k - 3/10*k**5 + k**3. Factor p(t). -2*(t - 1)*(t + 1)**2*(t + 2) Let v(l) be the second derivative of -18*l**6/5 - 18*l**5/5 + 443*l**4/4 - 145*l**3/2 + 18*l**2 - 12741*l. Suppose v(z) = 0. Calculate z. -4, 1/6, 3 Suppose 101*v - 584 = -424*v + 93 + 898. Determine r so that 0*r**4 + 2/5*r**2 - 3/5*r**v + 0*r + 1/5*r**5 + 0 = 0. -2, 0, 1 Let r be (-13 - -6)/(2*3/(-2022)). Let t = r + -1631. Factor 2*b**2 - 828 - 20*b - 4*b**2 + b**2 + t. -(b + 10)**2 Let s(y) = 2*y + 10. Let n be s(-5). Suppose n = -o - 2*c + 12, -2*c = 5*o - 10 - 10. Let 5*i**o - 4 + 5*i**2 + 8*i - 14*i**2 = 0. Calculate i. 1 Let t(y) be the first derivative of 12/7*y**2 + 71 - 16/7*y - 11/14*y**4 + 4/21*y**3 + 12/35*y**5 - 1/21*y**6. Solve t(w) = 0 for w. -1, 1, 2 Let o = -49 + 49. Suppose p = -o*p + 12. Determine a so that -9*a - 4*a**5 + 10*a**4 + 6*a**2 - 6 - 10*a**4 + a**5 + p*a**3 = 0. -1, 1, 2 Suppose 11*z = 14*z + 1830. Let o = 610 + z. Determine n so that -4/5*n**4 + o*n - 64/5 + 32/5*n**2 + 0*n**3 = 0. -2, 2 Let u(y) be the first derivative of y**6/48 + 173*y**5/40 - 177*y**4/32 - 517*y**3/24 + 217*y**2/4 - 87*y/2 - 4521. Factor u(w). (w - 1)**3*(w + 2)*(w + 174)/8 Let 3/4*h**5 + 4586430*h**3 - 219328479910824 - 3586588260*h**2 + 1402356009660*h - 5865/2*h**4 = 0. What is h? 782 Suppose -2418/11*y**2 + 2412/11*y + 0 + 6/11*y**3 = 0. What is y? 0, 1, 402 Suppose -56 = -r - 3*g, -5*g + 647 = -5*r + 587. Solve 0*l - 84/5*l**4 + 0 + 4/5*l**r + 396/5*l**3 + 484/5*l**2 = 0. -1, 0, 11 Let q(o) be the second derivative of -7*o - 1 + 3/20*o**5 + 3*o**2 + o**4 + 5/2*o**3. Factor q(n). 3*(n + 1)**2*(n + 2) Let s(z) be the second derivative of z**5/80 + z**4/12 - 457*z**3/24 - 115*z**2/2 - 1485*z. Factor s(g). (g - 20)*(g + 1)*(g + 23)/4 Let l = 52 - 48. Let t(w) = 56*w**2 - 108*w**2 + l*w + 53*w**2. Let g(p) = p. Let u(i) = -15*g(i) + 5*t(i). Factor u(a). 5*a*(a + 1) Let j(r) be the first derivative of -r**7/490 + 3*r**6/280 - 3*r**5/140 + r**4/56 - 20*r**2 - 59. Let x(t) be the second derivative of j(t). Factor x(p). -3*p*(p - 1)**3/7 Let p(z) be the second derivative of z**7/336 + 3*z**6/40 - 9*z**5/32 - 47*z**4/48 + 5*z**3/2 - z - 2547. Let p(g) = 0. What is g? -20, -2, 0, 1, 3 Let s be (24 - 31)/(123/(-287)). What is w in s*w - 35/3*w**2 + 0 - 13/3*w**3 - 1/3*w**4 = 0? -7, 0, 1 Factor 0 + 0*t + 2/15*t**5 - 2/5*t**4 - 6/5*t**3 - 2/3*t**2. 2*t**2*(t - 5)*(t + 1)**2/15 Suppose 3*v - 15 = w, 3*w - 2*v = -0*v - 10. Let p(u) be the first derivative of 0*u**4 + 32 + 1/18*u**3 + 1/72*u**6 - 1/30*u**5 + w*u - 1/24*u**2. Factor p(b). b*(b - 1)**3*(b + 1)/12 Let o be (30/(-36))/((-9)/(-18))*4/(-35). Find s such that 2/21*s**3 - 2/7*s**2 - 2/21*s + o*s**4 + 2/21 = 0. -1, 1/2, 1 Let h(m) be the second derivative of -1/27*m**4 + 16 + 7/90*m**5 - 4/135*m**6 + 2*m - 1/27*m**3 + 0*m**2. What is q in h(q) = 0? -1/4, 0, 1 Solve 4945*f + 1765*f + 2970 + 5*f**2 - 2063 + 5798 = 0. -1341, -1 Suppose 3 = 4*x - 21. Suppose 3 = 2*o + b, -18 = -5*o + 3*b + x. What is r in -16 - 15*r**2 - 15*r + 5 - 5*r**o + 6 = 0? -1 Let o(c) = -8*c - 2. Suppose 0 = 2*s - 4*l - 10, 0*l = -3*s - 3*l - 12. Let r be o(s). Factor 0 + 9*p + p**2 - r - 4*p**2. -3*(p - 2)*(p - 1) Let v(l) be the third derivative of -l**7/1890 - 29*l**6/540 - 1081*l**5/540 - 529*l**4/18 - 418*l**2 - 4. Suppose v(i) = 0. Calculate i. -23, -12, 0 Factor -39 - 81/2*s**2 - 315/4*s - 3/4*s**3. -3*(s + 1)**2*(s + 52)/4 Suppose 26*p - 100 = 7*p - 31*p. Factor -116/5*i - 1682/5 - 2/5*i**p. -2*(i + 29)**2/5 Let 128000 + 339587*v**2 + 328513*v**2 - 20*v**5 - 3115*v**4 - 139983*v - 140080*v**2 - 496817*v - 114500*v**3 = 0. Calculate v. -80, 1/4, 2 Let l(r) be the second derivative of 8*r**5/5 - 4*r**4 + 3*r**3 - r**2 + 262*r + 2. Factor l(i). 2*(i - 1)*(4*i - 1)**2 Let a = 97 - 70. Factor -9*q - 3*q**2 - 20*q**2 + a*q**2 + 5. (q - 1)*(4*q - 5) Suppose 4*b = 2*i - 46 + 118, b - 17 = i. Determine g, given that 36/5*g**i + 0*g + 2/5*g**4 + 0 - 22/5*g**3 = 0. 0, 2, 9 Let x be -14*(-3)/(-6)*(86/(-7) + 12). Let y(n) be the first derivative of 8 + 35/3*n**3 + 45/2*n**x + 10*n. Find c such that y(c) = 0. -1, -2/7 Let a be 12/8*4 + (-13 - 5)/(1 - -6). Let -22/7*m**3 + 0*m - a*m**2 + 4/7*m**4 + 2/7*m**5 + 0 = 0. Calculate m. -4, -1, 0, 3 Suppose -7*w - 49 = 56. Let k = w + 19. Factor 87*g**2 + 8*g**3 + 84*g**2 - 4*g**5 - 171*g**2 - k*g. -4*g*(g - 1)**2*(g + 1)**2 Factor -2/3*u**3 - 26/3*u**2 + 56 + 40/3*u. -2*(u - 3)*(u + 2)*(u + 14)/3 Suppose 6*s + 296 = 2*s. Let v = 76 + s. Suppose -6*a**2 + 1 + 0*a + 3*a**v + 4*a**3 - 9*a - 3 = 0. Calculate a. -1, -1/4, 2 Let l = 12 + -13. Let j be (-11 - -13 - 2)*(0 - l). Solve -1/3*x**3 + 0 + j*x - 1/6*x**4 + 0*x**2 + 1/6*x**5 = 0. -1, 0, 2 Let r = -124 + 249. Factor 20*g - 55 - r*g - 60*g**2 - 3*g**3 + 15*g**2 + 8*g**3. 5*(g - 11)*(g + 1)**2 Let u(t) be the second derivative of -t**5/8 - 3715*t**4/24 + 5*t**3/12 + 3715*t**2/4 - 66*t + 21. Find p such that u(p) = 0. -743, -1, 1 Let d(h) be the first derivative of h**6/960 - 33*h**5/160 + 1089*h**4/64 - 11979*h**3/16 - 4*h**2 - 79. Let c(x) be the second derivative of d(x). Factor c(m). (m - 33)**3/8 Let a = -6830 + 6835. Let q(k) be the second derivative of -10/3*k**3 - 4/3*k**4 + 0 + 26*k + 1/5*k**a + 0*k**2. Factor q(l). 4*l*(l - 5)*(l + 1) Let k(o) be the third derivative of -1/72*o**6 + 5/4*o**4 - 1/24*o**5 - 17*o**2 + 0*o - 3*o**3 + 0. Let d(a) be the first derivative of k(a). Solve d(n) = 0. -3, 2 Let g(v) = -202*v**2 - 1805*v + 117. Let j be g(-9). Factor 12/5*z**3 + 0 + j*z**2 + 4/5*z**4 - 16/5*z. 4*z*(z - 1)*(z + 2)**2/5 Let c be 4*(3 + ((-420)/364 - 1)). Find z, given that 2/13*z**5 + 64/13 + 62/13*z**3 - 20/13*z**4 - c*z**2 - 64/13*z = 0. -1, 1, 2, 4 Suppose 5*h + 376 - 416 = 0, 4*x + 2*h = 24. Factor -38/5*w**2 - x*w + 8/5*w**3 + 0. 2*w*(w - 5)*(4*w + 1)/5 Let f(w) = 28*w**2 + 11256*w + 7929848. Let u(q) = 31*q**2 + 11255*q + 7929847. Let n(t) = -9*f(t) + 8*u(t). Factor n(p). -4*(p + 1408)**2 Suppose -3*d + 24 = -6*k + 7*k, -5 = -5*d. Let f be k/18 + 12/36. Find a such that 9/2*a**4 + 0 - 3*a**3 + 0*a**2 + 0*a - f*a**5 = 0. 0, 1, 2 Let b(n) = -6*n**2 - 18*n + 20. Let i(d) = -20*d**2 + 34. Let w(k) = -7*k**2 + 12. Let m(r) = -6*i(r) + 17*w(r). Let l(x) = b(x) + 4*m(x). Factor l(v). -2*(v - 1)*(v + 10) Let l(i) = 10*i**3 + 28*i**2 + 21*i + 25. Let f(z) = 3*z**3 + 9*z**2 + 7*z + 5. Let m(q) = -14*f(q) + 4*l(q). Factor m(o). -2*(o - 1)*(o + 3)*(o + 5) Let s(y) = 5*y**2 - 3*y - 9. Let r(w) = 14*w**2 - 8*w - 27. Let f(c) = -4*r(c) + 11*s(c). Let h be f(2). Factor -1/2*v - 1/2*v**2 + h. -(v - 2)*(v + 3)/2 Let c(w) be the first derivative of -w**8/4200 - w**7/1050 + 71*w**3/3 + 8. Let h(r) be the third derivative of c(r). Factor h(v). -2*v**3*(v + 2)/5 Let y(d) b
{ "pile_set_name": "DM Mathematics" }
factor of f and 299? 23 Let x = -19 - -19. Suppose x = 9*h - 296 - 55. Let y = h + -29. Calculate the greatest common divisor of 90 and y. 10 Let c be (0 + 920/(-16))/(1/(-2)). Calculate the highest common factor of 5 and c. 5 Suppose 0 = -7*c + 20 - 6. Suppose -c*j + 6*o + 112 = 2*o, 4*o = -5*j + 266. What is the highest common divisor of 27 and j? 27 Suppose 6*y + 17 - 155 = 0. Suppose -3*m = p - 0*m - 10, 3*p - y = -2*m. What is the highest common divisor of p and 7? 7 Suppose -9*d = -33 - 39. Calculate the highest common factor of d and 360. 8 Suppose -5*p + 1771 = -3*u, 5*u + 1421 = 4*p + 4*u. Suppose b - 2*o = -0*o + p, -3*b + 3*o + 1062 = 0. Calculate the greatest common divisor of 32 and b. 32 Let p = 75 + 62. Let t = 143 + p. What is the greatest common factor of t and 28? 28 Let d = 11 - 7. Suppose 0 = 3*u - 8 + 2, 1200 = 2*j - 5*u. Let t be j/30 - (-3)/(-18). Calculate the greatest common divisor of d and t. 4 Suppose -338 = -17*g + 1464. What is the greatest common factor of g and 159? 53 Let c = -136 - -194. Let a = -52 + c. Calculate the highest common factor of 6 and a. 6 Let x be 89 - (-7)/(-2 - -3). What is the greatest common factor of 640 and x? 32 Let r(j) = -2*j**3 - j**2 + 2*j. Let s be r(-4). Let z be ((-21)/2)/((-2)/4). Suppose -h = 8 - z. What is the greatest common divisor of s and h? 13 Let y = 26 + -28. Let c be (-4)/y - (-176)/16. Calculate the highest common factor of 130 and c. 13 Suppose 0 = 5*m + 3*p - 3039, -2*m + 1283 = 4*p + 73. Calculate the highest common factor of 21 and m. 21 Let w = -9 + 21. Suppose -3*a + 3 = -w. Suppose 0 = -a*o + 5*m + 190, -o - m = 2*m - 46. Calculate the greatest common divisor of 8 and o. 8 Let h(t) be the third derivative of t**4/12 + 5*t**3/6 + 7*t**2. Let o be h(5). What is the highest common factor of o and 15? 15 Let a(r) = r**2 - 6. Let p be a(-3). Let q be ((-108)/21)/(9/(-42)). Calculate the greatest common factor of p and q. 3 Let m(k) = 2*k**2 + 17*k + 12. Let p be m(-15). Let f = -100 + p. Suppose b + 2 = f. Calculate the greatest common divisor of b and 15. 15 Let z = 145 + -26. Calculate the highest common divisor of z and 833. 119 Let i be 2/3 + (-9)/((-81)/174). Let h be ((-99)/15)/((-4)/i). Suppose 19 = 5*o + 4. What is the greatest common factor of o and h? 3 Let o(v) = -43*v + 6. Let p(y) = 4*y. Let q(l) = -4*o(l) - 44*p(l). Let w be q(-16). Calculate the greatest common divisor of w and 16. 8 Let g(f) = -f**2 + 4*f + 1. Let z be g(5). Let n be (-2 - 45/(-20)) + (-203)/z. What is the highest common divisor of 3 and n? 3 Suppose 0 = -4*c - 4, -j - j + 3*c = -39. Let o be 6*2/4 + 3. Calculate the highest common divisor of j and o. 6 Let r = -326 + 582. Calculate the highest common factor of 192 and r. 64 Suppose -x - 231 = -246. What is the greatest common factor of x and 3? 3 Suppose -93*a = -94*a + 1. What is the highest common divisor of a and 27? 1 Let a be 22 + (-45)/3 - (-6)/(-1). Let h(i) = -i + 23. Let v be h(0). What is the greatest common factor of v and a? 1 Let r be (-77)/(-3) - -2 - 30/45. Suppose -h = -4*q - 6*h + r, -5*h - 25 = 0. Suppose -2*w + 84 = -124. What is the highest common divisor of q and w? 13 Let k(l) = -1 - l**2 + 79*l + 6*l**3 - 77*l + 0. Suppose -3*d + 0 = -3. Let a be k(d). What is the highest common divisor of a and 48? 6 Let l(d) = -d**3 - 6*d**2 - 7*d - 4. Let s be l(-5). Let t = -1002 + 1068. What is the greatest common factor of s and t? 6 Let k = -6 + 11. Suppose -2*p - p + 12 = 2*o, -k*p = -4*o - 20. Suppose 192 = p*v + d, 4*v - 8*v - 4*d = -192. Calculate the highest common divisor of 6 and v. 6 Let s be (-2)/5*(-2)/(-4)*70. Let w = 32 + -16. Let y = w + s. Calculate the greatest common factor of 1 and y. 1 Suppose 5*a + 100 = 5*s, 5*s - 35 = -5*a + 45. Calculate the highest common divisor of 270 and s. 18 Let z = -19 - -51. Let n(j) = j**2 + 3*j - 1. Let f be n(-3). Let o be (13 - -1) + f - -3. Calculate the highest common factor of z and o. 16 Let f(c) = 11*c**2 - 3*c**3 - c**3 + 5 + 5*c**3. Let w be f(-11). Suppose 3*n - 99 = -2*v, 10 = n - 4*v - 37. What is the greatest common factor of n and w? 5 Let l = -290 - -432. Suppose 9*z = 236 + l. Calculate the greatest common divisor of 63 and z. 21 Suppose 0 = -4*h + 12, 5*f + h = -3*h - 1398. Let d = f - -169. Let i = -25 - d. Calculate the highest common factor of 8 and i. 8 Let l = 204 - -731. What is the highest common factor of 255 and l? 85 Let h be (28/(-18))/((-11)/99). Suppose 4*z + 2 = -2. Let v be 15 + 0/1 + z. Calculate the highest common factor of v and h. 14 Suppose -8*c = c - 1269. What is the highest common divisor of c and 188? 47 Let l be (-8 - (-1)/1) + 37. Calculate the highest common factor of l and 190. 10 Let k = 658 + -642. Calculate the highest common divisor of k and 16. 16 Let q = -7 - -10. Let z be (-4)/12 + 19/q. Let c be (-1)/1 + 1*25. Calculate the highest common factor of c and z. 6 Let l = -79 + 183. Calculate the greatest common divisor of 26 and l. 26 Let n(y) = y**2 + 2*y - 18. Let k(i) = -i**3 + 17*i**2 - 15*i - 23. Let x be k(16). Let d be n(x). Calculate the highest common divisor of d and 17. 17 Suppose -n = 2 - 12. Let r = n - 5. Let k be (-5)/(r/(-2)) + 2. What is the greatest common factor of 44 and k? 4 Let r(y) = y + 27. Suppose 0 = 5*d - i + 100, 0*d + 20 = -d + 5*i. Let x be r(d). Calculate the greatest common divisor of 21 and x. 7 Suppose 9*u - 14*u + 805 = 5*c, -1079 = -7*u + c. Suppose -w + 9 - 45 = -t, -4*t + 104 = 4*w. What is the highest common divisor of u and t? 31 Let m(z) = 17*z**2 + 4*z + 3. Let f be m(-3). What is the highest common divisor of 64 and f? 16 Let v = 588 - 540. Suppose 4*z + z - 254 = -2*b, -4*b = -8. Let x = -34 + z. Calculate the greatest common divisor of v and x. 16 Let h be (-1)/(-3)*(-420)/(-20). Suppose 24 = 4*c - 4*b, -2*b = -3*c - h*b + 42. Calculate the greatest common factor of c and 81. 9 Let x be ((-4)/(-7))/((-4)/(-14)). Suppose -x + 12 = 5*i. What is the highest common divisor of i and 10? 2 Suppose 3*w = 5*a - 324, -4*a + 11*w + 258 = 8*w. What is the highest common factor of 957 and a? 33 Let c be 0 + (6*-18)/(-2). Let o = -524 - -533. What is the greatest common divisor of o and c? 9 Let y(s) = 3*s - 9. Let u be y(8). Let g(l) = -30 - l + 26 + u + 79. Let c be g(0). Calculate the greatest common divisor of c and 10. 10 Let k = 84 + -60. Let f be (-8)/(-24) + (-1367)/(-3). Let a = -192 + f. Calculate the highest common factor of a and k. 24 Let y(a) = -51*a + 303. Let n be y(5). What is the greatest common factor of n and 150? 6 Let n be 4 + 0 + (-69)/(-3). Let p = n - 7. What is the greatest common factor of 220 and p? 20 Let p = 18 - 13. Suppose -4 - 6 = -p*a. Let v be 7/a*12/7. Calculate the highest common factor of v and 24. 6 Suppose -707 = -5*p - 2*y, 3*p + 5*y = 4*p - 163. Calculate the greatest common divisor of p and 13. 13 Let o(s) = -9 + 0 - 2*s**3 - 4*s**2 + 8. Let d be o(-3). Calculate the highest common divisor of 136 and d. 17 Suppose u - 15 = -3. Let w = 26 - 4. Let s = 82 - w. What is the highest common divisor of s and u? 12 Suppose 4 + 3 = i. Let v be ((-18)/15)/(2/(-10)). Suppose -2*m + v = -50. Calculate the greatest common factor of i and m. 7 Let h = 1 + 13. Suppose -5 = -5*w, -4*z + 2*w = 13 + 21. Let o be 71 - (26/22 + z/44). Calculate the greatest common divisor of h and o. 14 Let y be (-12)/(-16) - (-394)/8. Calculate the highest common factor of 75 and y. 25 Let h be (-18)/(-24) - (-114)/8. Suppose h = 3*b, 0 = 2*t + 2*b + 9 - 25. Suppose -t*n + 1155 = 2*n. Calculate the highest common divisor of n and 21. 21 Let k(r) = r**3 + 8*r**2 - 21*r - 58. Let d be k(-8). Calculate the greatest common factor of d and 1265. 55 Suppose 0 = -27*q + 982 + 98. What is the highest common divisor of 140 and q? 20 Suppose 0 = 4*y - x - 60, -4*x - 17 = -2*y - 1. What is the highest common divisor of y and 904? 8 Let f(i) = 6*i - 66. Let r be f(16). Let c be 2 - (-8)/(-6)*-3. What is the highest common factor of c and r? 6 Let d = 15 + -11. Let b(x) = x**3 + 11*x**2 + 16*x - 18. Let r be b(-9). Suppose 4*j - 14*j + 160 = r. Calculate the greatest common factor of j and d. 4 Let k be 2 + (-7)/3 - 700/(-30). Suppose k = -6*d + 119. What is the greatest common factor of d and 4
{ "pile_set_name": "DM Mathematics" }
-r - 6 + o = -d, r = 2*d - 2 for r. 4 Suppose 55 = 92*w - 91*w. Suppose 0 = 37*h - 42*h + w. Solve -3*m + m + 3*p = h, -29 = -2*m - 5*p for m. 2 Let r be -7*4/(-16)*-4. Let u be 0 + r/((-7)/4). Solve u*x - 41 = 5*i, 3*x + 4*i + 3 = i for x. 4 Suppose -20*n + 21*n = -m, 0 = n + 4. Let w(f) = f - 6. Let v be w(7). Solve -3*a = -4*i - 23, -2*i + v = -m*a + 5*a for a. 5 Let w = -18 + 21. Let q be (w/4)/((-30)/(-80)). Solve -5*m + 5*u + 15 = 0, q*m + 4 + 0 = -3*u for m. 1 Let n(t) = 2*t**2 + 99*t + 54. Let j be n(-49). Solve -5*c = -5, -3*m - 2*c - 2 - j = 0 for m. -3 Suppose 15 = -0*y + 5*y. Suppose 0*m - 8 = -2*m + b, -y = -m + b. Solve -5*t = -3*r + 5, -t + m*r - 21 = t for t. 2 Suppose -5*q = -7 + 2. Let c be (-3)/(-3)*(q - 2). Let d be (2/6)/(c/(-12)). Solve 2*h - 8 = 4*s, -16 = -h + d*s - 6 for h. -2 Suppose 0 = 2*u + 2*r + 18, -4*r + 14 - 5 = -u. Let c = -23 + 14. Let v = c - u. Solve v = 2*o + f + 8, -o - 8*f + 4*f - 4 = 0 for o. -4 Let i be 2/(-1) + -1 + (-24)/(-2). Let b be (-13 + i)/(1 + -2). Solve -2*k = -10, 12 - 35 = -3*q - b*k for q. 1 Suppose -729*u = -722*u - 133. Solve -3*h - 4*j = u, -4*h + 5*j + 19 = -3*h for h. -1 Suppose -l + 16 = 3*l, j + 32 = 4*l. Let w = 36 + -56. Let s = j - w. Solve 3*z + 16 = -2*z + 2*o, o = -s*z - 5 for z. -2 Let j = 24 - 21. Suppose -j - 5 = -m. Suppose -m*o + 25 = -3*o. Solve o*p + 5*y = 6 - 36, 5*p - 2*y = -9 for p. -3 Let w = 4 - 1. Suppose 0 = 18*q - 0*q - 108. Suppose -30 = -w*v + q*d - d, 0 = -d. Solve -v = -2*z + 5*j, 0*z = z + 2*j + 4 for z. 0 Suppose -4*m - 84 = -4*j, j = 28*m - 32*m + 16. Let c(q) = q**2 - 3*q - 5. Let g = -13 - -18. Let t be c(g). Solve 3*k = 4*n - k + j, 4*k - 20 = t*n for n. 0 Suppose -3*q + 2 = -2*m - 12, 5*m = -5. Suppose 5*c = -w + c - 16, 2*w + 3*c = -12. Suppose w = -12*s + 11*s. Solve q*u + 5*a = -13, 0 = 3*a - s*a + 15 for u. 3 Let h = -15 + 13. Let q be h/(-1) - (-2)/1. Solve -2*y - b - 3 = 1, 0 = 5*y - q*b + 10 for y. -2 Let i be 50/(-175) + 16/7. Solve 0 = 3*w + n + 4*n - 4, i*w + 3*n = 3 for w. 3 Let i be (-7 - -1) + -5 + 12 + 20. Solve -m + 2 = 0, 0*p = -3*p + 3*m - i for p. -5 Suppose 44 = 26*n - 24*n. Let g = 25 - n. Solve v + g*t + 11 = 0, -3*v + 2*t - 21 = 2*v for v. -5 Suppose 25 = 7*w + 88. Let r(i) = i**2 + 8*i - 7. Let t be r(w). Solve x + 4*n - 9 = 2*n, t*x = 2*n - 6 for x. 1 Let a be ((-9)/6)/(25/(-50)). Solve 5*n = c - a, 2*n = -3*c - 4 - 4 for c. -2 Let d(h) = h**2 + 13*h - 11. Let l be d(-14). Suppose -l*u = 2*o - 7*u - 10, 5*o - 4 = 3*u. Let g be (4 + -3)*o - -3. Solve -y = 1 + 2, -g*y = 2*w - 4 for w. 5 Let q = -103 - -30. Let w = q + 80. Solve 2*s = -3*v + w*s - 21, -3*s - 1 = 5*v for v. -2 Let v be (-8 + 6)/((-5)/10). Solve j - 15 = -2*j - 2*l, -v*j - 3 = -5*l for j. 3 Suppose -5*f + 15 + 130 = 0. Let j = f - 26. Solve 0 = -5*i - 5*h - 15, i = j*h - 7*h - 12 for i. 0 Suppose -3*t = -3*p, -p - 4*t + 9 + 1 = 0. Suppose -44 + 4 = -5*i. Solve 0 = 4*m - p*y + 18, i = -5*m - 3*y - 9 for m. -4 Let r(m) = -3*m - 2. Let a be r(-2). Let q = a + -4. Suppose q = 2*z + 3*o - 0*o, -3*z + 2*o = 0. Solve -3*v + p = 14, 3*p + 2 = -2*v - z*v for v. -4 Let k = -30 + 90. Suppose 4*c + k = 8*c. Solve -3*b - 5*r - 15 = 0, b + 2*r = -2*b - c for b. -5 Suppose 27*z + 133 = 46*z. Solve 4*x - 5*f - z = 0, -6 = -3*x + 6*f - 2*f for x. -2 Let a = -54 + 54. Suppose -4*k = -a*k. Solve -2*q = s - 2, 3*q - 1 = -s - k for s. 4 Suppose 4*f - 3*z - 1 = 0, -1 = -z + 4. Suppose 4*j - 3*j - 18 = 0. Let v be ((-9)/j)/(2/(-96)). Solve -f*t = -4*n - v, -n + 0*n = -5*t + 18 for t. 3 Suppose 15*s + 2*s - 34 = 0. Solve 0*l - 16 = -4*l, -4*i - 20 = -s*l for i. -3 Let l be 10/(-2) - 0/1. Let j = 5 + l. Solve 2*t + 2*t = 3*m - 19, 5*t + m + 19 = j for t. -4 Suppose -g = 2*c - 5*g - 12, 0 = -5*c - g + 85. Solve -y = 3*y + 4*w - c, 0 = -y - 3*w + 10 for y. 1 Suppose -2*t + 11 = z, 10 = 186*z - 184*z. Solve 2*n - 5*j - 18 = -5, t*j + 11 = 2*n for n. 4 Let h be -12 + 13 - 2*(-3)/6. Solve u = -h*t - 3, 3*t + 9 = -3*u + t for u. -3 Let z be (123/9 + -1)/((-4)/(-6)). Solve -c - 4*p = 2*c + z, c + 9 = -2*p for c. -1 Let w be 9 - 3/15*20. Solve 9 = -2*a + w*o - 6, -3*a + o = 16 for a. -5 Suppose -96*n + 104*n = 24. Solve z - 16 = 5*z, 0 = 4*o - n*z + 4 for o. -4 Suppose 6*t + 54 = 54. Solve 4*a - 7*s = -12*s + 16, t = 5*s for a. 4 Suppose 0 = -3*w + 5*y + 44 + 19, -2*w = -5*y - 47. Let g = w + -18. Let k be ((-10)/(-25))/(g/(-10)). Solve -p - 2 = -3*p + k*d, 0 = -2*d + 2 for p. 2 Let l = -20 + 22. Suppose 5 + 10 = 3*j - l*m, 5*j = 2*m + 21. Solve 0 = -j*n + o - 6, 4*n = 2*o + 2*o for n. -3 Let o(u) = -u**2 + 19*u - 74. Let k be o(13). Solve -4*x = -k*d, -12 = 4*d - 32 for x. 5 Suppose -2*w = -5*m + 60, 17*m = 15*m - 3*w + 43. Suppose 2*n + n = 36. Let y = m - n. Solve 0 = -4*b + y*r + 6, 5*b + 3*r - 25 = -1 for b. 3 Let h be 111/39 + (-8)/(-52). Suppose 0 = u + 1 - h. Let f be 2 - 3*u/3. Solve 4*a + 5*o + 1 + 7 = 0, 3*a - 5*o + 6 = f for a. -2 Let k be 0*2/(-6) - 0. Suppose 7*j - 4*j + 1 = 4*i, -j + 5 = 4*i. Let y = 342 - 340. Solve -3*b + y*d + 8 = k, -19 - j = 2*b + 5*d for b. 0 Let z(h) = -4*h**2 - 2*h + 1. Suppose -g - 2*g = -6. Let x be z(g). Let p be x/(-4) - (-6)/24. Solve 5*a + p*q = 0, 2*a + 3*a - 4*q = 27 for a. 3 Let f(u) = -u + 1. Suppose -2*z = 2*z - 4. Let l be f(z). Solve -4*k + s + 2*s - 10 = 0, -k + 3*s + 2 = l for k. -4 Let l(a) be the first derivative of -a**3/3 - 8*a**2 - 10*a - 2. Let w be l(-15). Solve k - w*s = 30 - 5, -3*s - 15 = -5*k for k. 0 Let k be -3 - 12/(1 + -3). Suppose 36 = -2*o - 2*c, -3*o - 4*c = -4*o - 3. Let f = o - -17. Solve -4*r - 8 = f*s, -10 = 8*r - 3*r - k*s for r. -2 Let i(v) = 13*v**2 - 8*v - 39. Let p(h) = -7*h**2 + 4*h + 20. Let a(j) = -6*i(j) - 11*p(j). Let f be a(6). Solve -5*g = 5*l, -g + 4 = -f*g for l. 4 Suppose -5*y + 55 = 2*o, 13*y - 3*o = 14*y + 2. Suppose 0 = 2*t - b - 9, t - 3*b = 2*t + 6. Solve t*s - q = 4 - y, -4*s - 12 = 5*q for s. -3 Suppose 3*s = -3*z + 2*z + 91, 3*s - 2*z = 106. Suppose 4*l + s = -0*l. Let u be (l/(-12))/((-4)/(-30)). Solve -2*m + 3*r = 2*r - 13, -3*m = u*r for m. 5 Let y(f) = f**3 + 2*f**2 - 4*f + 5. Let j be y(-5). Let z = j + 52. Solve 0 = i + x - 2, z*i + 9 = 3*x + 3 for i. 0 Suppose 10 - 25 = -3*u. Solve 14 = 2*b - u*m, 3*m = 3*b + b for b. -3 Let x be 2/(-15) + 224/105. Suppose -3*s - 56 = -71. Solve -5*m + 8 = -u, -x*u - 1 + 0 = s*m for m. 1 Suppose 4*i + 88 - 20 = 0. Let s = i - -20. Let d(y) = 10*y - 3. Let p be d(s). Solve -2*x - 5*q + 18 = 0, 4*x = -q + p - 9 for x. 4 Let c(u) = -4*u - 24. Let i be c(-11). Solve 0 = -h + 4*o - i, 0*h - 3*o + 15 = -3*h for h. 0 Let w(k) = k**3 - 16*k**2 + 5*k + 9. Let i be w(15). Let u be i/(-27) + 8/(-36). Solve u*q = 3*j + 11, 0 = -4*j + 4*q - 6 - 6 for j. -2 Suppose 0 = 5*p - 13 - 17. Suppose -3*y + 28 - 16 = 0. Suppose 6*u = u - y*z + p, 5*u = 3*z + 13. Solve -w + 9 = -5*m + 20, 4*w + u*m = 0 for w. -1 Let b(o) = o**2 - 8*o - 6. Let g be b(7). Let u = -8 - g. Suppose 5*i - 40 = -u*j, 4*j - 2*j = -4*i + 24. Solve r = 4*n + 3, 15 = -n - i*n - r for n. -2 Suppose p - 6 = -r, -3*r + p + 2*p - 6 = 0. Solve 5*u - u - 4 = 0, -6 = -4*i - r*u for i. 1 Let f = 251 - 247. Solve -3*u = -5*l - 10, f*u - 2*u = 2*l + 4 for l. -2 Let w be (-35)/126*-6 - (-8)/(-12). Solve v = -v + 4*c, 3*v - 5*c + w = 0 for v. -2 Suppose -4*p + 30 + 2 = 4*l, -l + 5 = 0. Let a(j) = 2*j**2 + 1. Let h be a(1). Let t = 1 - 1. Solve t = -4*g - 3*u - 20, -h*u + 10 = p*g - 7*u for g. -2 Let m(k) = 2*k + 18. Let c(f) = 1. Let y(i) = -8*c(i) - m(i). Let p be y(-13). Solve -5*x + 4*s - 12 = 0, 7*x - 4*x - 3*s + 6 = p for x. -4 Let t = 194 - 193. Solve 0 = -2*x + 2*z + 6, 4 = -3*x - 4*z - t for x. 1 Let r = 4 + -1. Let l(z) = z**2 - 2*z - 5. Let f be l(4). Suppose -x + 3*b = -18, -5*x + 3*b + 53 + 61 = 0. Solve x = r*t + f*h - 3, 4*h = 2*t + 6 for t. 5 Let s(m) = -35*m - 20. Let f be s(-4). Let v = f - 116. Solve 0*u = 2*i + u + 8, 13 = -i + v*u for i. -5 Let b(d) = -447*d + 2. Let c be b(-2). Suppose -c = -q + 5*q. Let v be q/(-20) - (-2)/(-10). Solve 0*g - i = -4*g - v, 0 = -4*i - 4 for g. -3 Suppose 0 = 46*u - 13*u. Solve u = -5*f + 3*s - 16, -3*f + 0*s - 2 = 2*s for f. -2 Let j be (-1848)/(-216) + (-8)/(-18). Solve -4*z + j*z + 5*g = 25, z + 2*g = 10 for z. 0 Suppose 3*n = -2*q + 4 - 0, -4*n - 8 = 0. Solve 3*
{ "pile_set_name": "DM Mathematics" }
*m. 7*m + 2 Expand -2*w + 0*w + w - 4*w + 4*w - w - 4*w - 2*w + 4*w + (1 - 1 + 1)*(-3*w + 2*w + 0*w) + 2 - 2 + w - 4*w + 340 - 161 - 168. -8*w + 11 Expand (223 - 161 + d - 2*d)*(d + 5 - 5)*(-1 + 4*d + 1). -4*d**3 + 248*d**2 Expand 3 - 2*k**4 - 3 + (-4*k**3 - k**3 + 4*k**3)*(2*k - 3 + 3) + 2*k**4 - k**4 + 0*k**4 - 3 - k**4 - 600*k**3 + 601*k**3 + 42. -4*k**4 + k**3 + 39 Expand (-2*s**2 + 0*s**2 + 3*s**2 + (0*s - 2*s + 0*s)*(2*s + 0*s - s))*(s + 3*s - 3*s)*(11*s + 4*s - 7*s) + s**4 + 3*s**4 - 8*s**4. -12*s**4 Expand (-71*x + 5 - 5)*(-3 + 2 + 0) + 9*x - 14 + 14 + (-1 + 5 - 2)*(0*x + 2*x - 3*x) - 3 + 3 - 2*x. 76*x Expand (-75 + 6 + 11)*(0*b**2 + 2*b**2 + 4*b**2). -348*b**2 Expand (-31*s + 101*s + 39*s)*(s + 2*s - 4*s)*(0 + s + 0)*(-s**2 + 2*s**2 - 2*s**2 + (0*s + s - 3*s)*(7*s - 3*s - 2*s) - s**2 + 0*s + 0*s + s**2 + 0 + 0). 545*s**5 Expand (-3*u - 2*u + 3*u)*(3 + 17*u - 3) + u**2 + 0*u**2 + 0*u**2 + (-4 + 2*u + 4)*(2 - 2 + u) + 3*u**2 + u**2 - 3*u**2 + (-5*u + 2*u + u)*(0*u - u + 0*u). -28*u**2 Expand 9*l - 12*l - 114*l**3 + 3*l + (0*l - 7*l**2 + 0*l)*(-2*l + 0*l + 4*l). -128*l**3 Expand (-4*x - 154 + 154 + (3 - 5 + 4)*(-3*x - 1 + 1))*(4*x**2 - 2 + 0 + 1). -40*x**3 + 10*x Expand (-118*d + 47*d + 47*d)*(3 - 3 + 3)*(-1 + 0 + 6) + d + 4*d - 6*d. -361*d Expand (-16*s**2 + 7*s - 7*s)*(-4*s + s + 2*s)*(2*s**2 + s**2 + 3*s**2). 96*s**5 Expand (0*a**2 - a**2 + 2*a**2)*(557*a + 2031*a + 158*a). 2746*a**3 Expand (13 - 1 - 33)*(3*d - 3*d + d) + 5*d - 5*d + d - 3*d + 3*d - d + (-1 + 5 - 2)*(d - 3*d + 3*d). -19*d Expand -11*w**2 + 11*w**2 + 7*w**3 + (w + 0 + 0)*(0*w**2 - 3*w**2 + w**2) - 4*w**3 + w**3 + w**3 + (-2*w - w + w)*(2*w**2 + 0*w**2 - w**2) - 2*w**3 - 3 + 3. -w**3 Expand 935*b - 935*b + 65*b**2 + (4*b + b - 3*b)*(-2 + 2 - 2*b) - 2*b**2 + b**2 + 3*b**2. 63*b**2 Expand (-3 + 3 - 2*y)*(y**4 + y**4 - 3*y**4) + (22*y**2 + 14*y**2 - 2*y**2)*(2*y - 2*y - y**3). -32*y**5 Expand (-30*y + 45*y - 54*y)*(y**2 + 3 - 3 + (y + 1 - 1)*(y - 1 + 1) + 4*y**2 + y**2 - 2*y**2). -195*y**3 Expand (77 - 77 + 3*k)*(-2 + 0 + 0)*(-k + k**2 + k) + k**3 + 2*k**3 + 2*k**3. -k**3 Expand (60*w + 24 - 24)*((1 - 1 - 1)*(-3 + 3 - 1) + (3 - 4 + 2)*(2 - 4 + 0)). -60*w Expand (-2 + 2 + 2*y**2)*(3*y**3 + 0*y + 0*y + (-2*y**2 + 2*y**2 + y**2)*(3*y - 3*y + 2*y) + 27*y**3 + 68*y**3 + 34*y**3). 268*y**5 Expand (-2*n + 1 - 1)*(-36 - 33 + 24*n**2 + 68). -48*n**3 + 2*n Expand (58 - 56 + 22)*(-2*t + 4*t**4 + 2*t). 96*t**4 Expand (3*c - 10 - 2*c + 0*c)*(3*c + 5 - 5). 3*c**2 - 30*c Expand (-2*t - 4*t + 4*t)*(50 - 50 - 9*t**3) + (-4*t**3 + 7*t**3 - 21*t**3)*(-2*t + 2 - 2). 54*t**4 Expand (4*w**4 + 2*w**4 - 4*w**4)*(2 - 5 + 2)*(3 - 1 + 0)*(-3 - 1 + 3). 4*w**4 Expand (0*m + 2*m - m)*(-4*m**4 + 6*m**4 - m**4) + (0*m - 2*m**2 + 0*m)*(-3*m**2 + 2*m**3 + 3*m**2) - 3*m**3 + 3*m**3 - m**5 - 14*m**4 + 27 + 3*m**5 - 27. -m**5 - 14*m**4 Expand (2*k + 1 - 1 + 2 - 2 + k + (-2*k + 2*k - k)*(-1 - 4 + 4))*(-k - k + 4*k)*(-12129 + 12129 - 60*k). -480*k**3 Expand (9*x - 4*x + 0*x)*(2*x + 0*x + 12*x) - 3*x**2 + x**2 + 0*x - x. 68*x**2 - x Expand z - 3*z**2 - z + (-5 + 2 - 42*z + 37*z)*(4*z + 3*z - 4*z). -18*z**2 - 9*z Expand (-5*x - 2*x + 12*x)*(-37*x + 26*x + 30*x) + (1 - 1 + x)*(-x - 3*x + 3*x) - 4*x + 4*x - 2*x**2. 92*x**2 Expand ((-2 - 3 + 2)*(0 + 2 + 0) + (3 - 5 + 4)*(-2 - 1 + 4)*(-13 + 34 + 26))*(0*c - c + 2*c). 88*c Expand -4*f**3 + 4*f**3 + f**3 + (-f**2 + 5*f**2 - 5*f**2)*(-f + 5*f - 5*f) - 11*f**3 + 7*f**3 + 5*f**3. 3*f**3 Expand (-6*j**3 - 15*j**3 + 30*j**3)*(0*j**2 + 4*j**2 - 5*j**2) - 70*j**4 + 7*j + 70*j**4 - 2*j**5. -11*j**5 + 7*j Expand (-h**2 + h - h)*(-33 + 7 - 2*h**3 - 19). 2*h**5 + 45*h**2 Expand 3*t**4 + 0*t**4 - t**4 + (0 - t + 0)*(372*t**2 - 372*t**2 - 3*t**3) - 2*t**4 + 2*t**2 - 2*t**2 - 4*t**4 + 3*t + 0*t**4 + 5*t**4. 4*t**4 + 3*t Expand (0*m + 2*m - m)*(-8 + 3 - 477*m**4 + 47*m**2 + 480*m**4). 3*m**5 + 47*m**3 - 5*m Expand (-4*g**4 + 2*g**4 + 4*g**4)*((1 + 1 - 1)*(-2*g - 3*g + 4*g) - 2 + 2 + 2*g + g - 4 + 4 + 0*g - 8*g - 12*g - 3*g + 5*g - 4*g - g + 3 - 3). -42*g**5 Expand (-52 + 22 + 17)*(2*h**4 - 3*h**2 + 3*h**2) - 2*h**2 + 2*h**2 + h**4. -25*h**4 Expand (-2*k**2 - 1 + 1)*((k**2 + 4*k**2 - 4*k**2)*(-2 - 4 + 3) + (-7*k + k - k)*(-2*k - 4*k + 4*k)). -22*k**4 Expand (-f - 2*f + 5*f)*(3*f - f - f)*(6*f - 4*f - 3*f)*(20 - 1 + 8)*(3 + 0 - 5). 108*f**3 Expand (0 + 0 - 2*k)*(-8*k + k**3 + 67*k**2 + 49*k - 43*k). -2*k**4 - 134*k**3 + 4*k**2 Expand (-2*j**3 + 4*j**3 - 4*j**4 + 5*j**4)*(-60 - 28 - 35). -123*j**4 - 246*j**3 Expand 2*k**4 - 4*k**4 + 0*k**4 + (-1 + 1 + k**3)*(3 - 3 + 11*k) - 4*k**4 + k**4 + k**4. 7*k**4 Expand 11*s + 5*s - 23*s + (-5 + 4 + 2)*(6*s - 6*s - s). -8*s Expand (3*w**2 - 8*w**2 - 2*w**2)*(159*w**3 + 158*w**3 - 334*w**3). 119*w**5 Expand (-8 - 6 + 3)*(4*l**2 + 2*l**2 - 4*l**2) + 1 - 2*l + 2*l - 2*l**2 + (-5 + 5 + l)*(-2 + 2 - 2*l). -26*l**2 + 1 Expand 5 + 68*c - 10 + 5 - c + c - 2*c + (2 - 2 + c)*(1 + 0 - 3) + 2 - c - 2. 63*c Expand (3*h**3 + 8*h**3 + 3*h**3)*(-2 - 4 - 2) + 2*h**3 - 2 + 2 + 10*h**3 + 9*h**2 - 9*h**2. -100*h**3 Expand (4*u - 3*u + 0*u)*(-262*u**2 + 374*u**2 - 378*u**2). -266*u**3 Expand -92 + 92 + 11*q + (0*q - q + 2*q)*(1 + 2 - 1) + 1 - 1 - q + 2 - 2 - 2*q + (2*q - 4*q + 3*q)*(5 - 3 + 0) - q + 2 - 2. 11*q Expand -3*s**5 - 3*s**5 + 4*s**5 + (s**4 - 2*s**2 + 2*s**2)*(2*s - s + 0*s) - s**5 + 3*s**5 + s**5 + (2*s**2 + 2*s**3 - 2*s**2)*(3*s**2 - 3*s**2 + 5*s**2). 12*s**5 Expand (2*z**2 - 2*z**3 - 2*z**2)*(1 - 6 + 4)*(-75*z - 19*z - 304*z). -796*z**4 Expand 0*p + 0*p + p**3 + (0*p**3 - 3*p**3 + 5*p**3)*(-1 + 6 - 3) - 2*p**3 - 2*p**3 - 3*p**3. -2*p**3 Expand (-5 + 1 + 1)*(-4*n + 3*n - n)*(-11*n + 3*n - 3*n)*(0 - 5 + 3). 132*n**2 Expand (-3 - 3 + 5 - 4)*(-3057 - 167*r + 3057). 835*r Expand (7*l**2 + l**2 - 28*l**2)*(-l**2 + l**2 - 2*l**2) + 3*l**4 - 3*l**4 - 2*l**4 + l**4 - 2*l**4 - l**3 - l**3. 37*l**4 - 2*l**3 Expand 13*h**3 + 64*h**3 - 31*h**3 + (3*h**2 - 4*h**2 - h**2)*(0*h - 3*h + 2*h) + 4*h**3 - 3*h**3 + 0*h**3 + 2*h**3 - 5*h**2 + 5*h**2. 51*h**3 Expand (10 + 353*a - 10 - 118*a)*(-a**3 - a**3 + 0*a**3). -470*a**4 Expand -4 + 1 + 1 + 2*m**2 + (3 - 2 + 2)*(-117 - 115 + 15*m**2 + 233). 47*m**2 + 1 Expand (-2*a + a + 2*a)*(-3 + 3 + 3*a) - 65*a**2 - 26*a**2 + 28*a**2. -60*a**2 Expand (-1 + 2 + 0)*(0 - 5 + 4)*(-19*i + 490 - 490)*(0 + 0 - 2)*(-i**4 + i**4 - 11*i**4). 418*i**5 Expand -51 - 63*u**3 + 51 + (-2*u**2 + 0*u**2 + 0*u**2)*(-u + 6*u - 4*u). -65*u**3 Expand (4 + 2 - 4 + (-3 - 2 + 4)*(-4 + 2 + 1) - 4 + 2 + 4 - 4 - 1 + 3)*(-4 - 1 + 3)*(1 + 1 + 0)*(2*g - 2*g + 3*g**5). -36*g**5 Expand -2*y + 2*y**2 + 2*y + (-2*y - 1 + 1)*(-2*y + 29 - 17 - 11). 6*y**2 - 2*y Expand (-69 + 69 - 202*s**3)*(-3*s + 1 - 1) - 3*s**2 - s**4 + 3*s**2. 605*s**4 Expand (3*i**2 - 5*i**2 + i**2 + (-2*i + 0*i + i)*(i - 3*i - i))*(-2*i - 3*i + 6*i + (2 - 2*i - 2)*(-1 + 0 + 4) + (14*i - 20 + 20)*(-2 - 2 + 3)). -38*i**3 Expand (-3 + 2 + 0)*(r**3 - r**3 + r**3) + r**3 - 5*r**3 + 2*r**3 + 2*r**2 + 25*r**3 + r - 3 - 47*r**3 + 23*r**3. -2*r**3 + 2*r**2 + r - 3 Expand -b + 4*b + 0*b + b - 3 + 3 + (-17 - 8*b + 17)*(-2 + 3 - 2). 12*b Expand -13*f - 47 + 47 + (2*f + f - f)*(2 + 1 + 3). -f Expand (-4 - 6 - 1)*(-49*t**2 - 379*t + 379*t). 539*t**2 Expand (-155 + 449 - 198)*(2*c - 2*c + c**4) + 5*c**4 - 7*c**4 - 2 + 4*c**4 + 2*c**2. 98*c**4 + 2*c**2 - 2 Expand -b**2 + 5 - 5 + b**2 - 107*b + 107*b - b**2 - 2*b**2 + 0*b**2 + (-b - b + 3*b)*(-3 + 3 - b). -4*b**2 Expand (-435 - 163 - 234)*(-1 + 1 + 2*s). -1664*s Expand (42 + 102 - 228)*(3*u**2 - 7*u**2 - 2*u**2). 504*u**2 Expand (-45*v - 264 + 264)*(v**2 + v**2 - 3*v**2)*(-389 + 389 + 34*v**2). 1530*v**5 Expand (37*v - 123*v + 61*v)*(-2 + 6 - 2) - 2*v + v + 3*v + (2*v + 2*v - 2*v)*(0 + 6 - 5). -46*v Expand (3 - 4 - 1)*(t**4 + 2*t**4 - t**4) - t**4 - t**4 + 4*t**4 + 2*t**4 - t**4 + 2*t**4 + 20013 - 6*t**4 - 20013 - 52*t**2. -5*t**4 - 52*t**2 Expand (38*b**4 + 115*b**5 + 47*b**4 - 84*b**4)*(-4 + 4 + 2). 230*b**5 + 2*b**4 Expand (1 + 2 + 0)*(-10*s - 11*s - 7*s). -84*s Expand (-7*d + 2*d + 7*d + (4 - 3 - 2)*(-1 + d + 1))*(d - 4*d - 1 + 4*d). d**2 - d Expand (3*i + 2 + i - 2*i)*(-12 + 9 - 16). -38*i - 38 Expand (7*m**4 - 4*m**4 + 4*m**4)*(58 + 28*m - 58). 196*m**5 Expand (-2*x + 2 - 2)*(-1 + 1 - 1)*(-78*x + 116*x + 765*x). 1606*x**2 Expand -40*a**2 + 123*a**2 - 14*a*
{ "pile_set_name": "DM Mathematics" }
000000 Let x = -85 + 36. Let i = x + 49.0000027. What is i rounded to six dps? 0.000003 Suppose -29*j + 31*j - 2888 = 0. Round j to the nearest 1000. 1000 Let j = 3.85 + -0.75. Let o = -3.1004 + j. What is o rounded to 3 decimal places? 0 Let s = -1.2436 + 1.01. Round s to two decimal places. -0.23 Let t = 0.161701756 + -0.1617. What is t rounded to 7 decimal places? 0.0000018 Let z(o) = o**3 + 22*o**2 - 2*o - 48. Let m be z(-22). Let n(p) = -522492*p + 32. Let y be n(m). What is y rounded to the nearest 100000? 2100000 Let p = 176 - 175.99999982. Round p to seven dps. 0.0000002 Suppose -q = 2*q - 15. Suppose q*s - n = 133585, 0*s = 2*s + 5*n - 53407. Let f = s + 17284. What is f rounded to the nearest ten thousand? 40000 Let m = 42 - 43.1. Let l = m + 1.0987. What is l rounded to three decimal places? -0.001 Let x = 46 - 37.4. Let c = 1 + -1. Let i = c + x. Round i to the nearest integer. 9 Let u = 39 - 24. Let x = 14.76 - u. What is x rounded to 2 dps? -0.24 Let j = 0.09042 + -0.0864. Round j to three dps. 0.004 Let o(v) = -3438*v**3 - 7*v**2 - 11*v + 12. Let r be o(-12). What is r rounded to the nearest 100000? 5900000 Let m = -27.11543 + 0.76623. Let t = m - -26.4. Round t to 3 decimal places. 0.051 Let q(z) = -20207*z**3 + 6*z**2 + 5*z + 4. Let n be q(-5). Let s be n - (-3 + (1 - -1)). Let k = s + -1796005. What is k rounded to the nearest 100000? 700000 Let q = -20.0882 + -1.9173. Let r = -4.5 - -26.5. Let d = q + r. What is d rounded to three dps? -0.006 Let v(w) = w**2 + 9*w. Let t be v(-9). Suppose -3*n + 27499985 = g - t*n, -5*n = 2*g - 54999975. What is g rounded to the nearest one million? 28000000 Let o = -23.985 - -24. Let f = -158699.0149958 - -158699. Let b = f + o. Round b to six dps. 0.000004 Let s(j) = -48*j**3 - j**2 + 2*j + 12. Let z = 34 + -38. Let w be s(z). What is w rounded to the nearest one thousand? 3000 Let v = -0.241 - 0.069. Let b = 0.09 - v. Let o = 1 - b. What is o rounded to 1 decimal place? 0.6 Let d = 30 - 29. Let r = 1 - d. Suppose 2*x + 5*p = -r*x + 1615, 0 = -4*x - 5*p + 3215. What is x rounded to the nearest one thousand? 1000 Let o = 1037.9 + -1075. Round o to the nearest 10. -40 Let x = 68.04 + -0.04. Let t = -68.95 + x. What is t rounded to 1 dp? -1 Let m = -2194 - -2193.9990019. What is m rounded to 4 decimal places? -0.001 Suppose -4*h - 304 = -2*h. Let l = -94 - h. Suppose -l = -2*s + 102. What is s rounded to the nearest one hundred? 100 Let t = 0.0515 - 0.06854. Round t to three dps. -0.017 Let x = -1167.325 + 1168. What is x rounded to two dps? 0.68 Suppose -16*s + 114120241 + 100375759 = 0. Round s to the nearest one million. 13000000 Let c = 60915 - 60920.2678. Let p = 1.9677 + c. Let z = 3.3 + p. What is z rounded to 4 dps? -0.0001 Let d = 141.04 + -140. Let b = 249667 - 249665.95897. Let v = d - b. What is v rounded to 4 decimal places? -0.001 Let k(l) = -9600001*l**2 + 1. Suppose 2 = -5*d + 2*p + 14, -3*p + 1 = 2*d. Let b = d - 3. Let r be k(b). Round r to the nearest 1000000. -10000000 Let o = 5 + -2. Let i be (0/(-3))/(o - 2). Let f be 87001 - (-2 + i)/(-2). What is f rounded to the nearest 10000? 90000 Let r(q) = 37707*q**3 + 2*q**2 - 3*q - 2. Let k be r(2). Suppose -z = -708344 - k. Round z to the nearest 100000. 1000000 Let c = 1224.7 - 1229.7035. Let f = c + 5. What is f rounded to three dps? -0.004 Let s = -236 + 236.053. Let x = 636 - 635.513. Let h = s + x. What is h rounded to one decimal place? 0.5 Let n(d) = 616654*d + 76. Let a be n(6). What is a rounded to the nearest one million? 4000000 Let g = 0.0811 - 0.081099613. Round g to seven dps. 0.0000004 Let q be (2/(-5))/((-1)/5). Let x(i) = i - 2. Let d be x(q). Suppose -5*h = 0, d*h + h - 510 = -w. Round w to the nearest one hundred. 500 Let d(z) be the third derivative of -z**6/120 + 17*z**5/60 + 5*z**4/12 - 2*z**2. Let r be d(17). What is r rounded to the nearest one hundred? 200 Let g be (-4)/32*2*-5*4. Suppose g*z = -b - 43980, -2*b = -5*z + 84825 + 3195. Round b to the nearest 10000. -40000 Let q = -14479414679 - -14479387044.47500054. Let o = -27634.56 - q. Let r = 0.035 + o. What is r rounded to seven decimal places? -0.0000005 Suppose 0 = -2*t + u - 4980 + 1967, -3*t + u = 4519. Let y = t + 506. Round y to the nearest one hundred. -1000 Suppose 0*q + q + 1 = 0, 4*p - 5*q - 170269 = 0. Let z = -20066 + p. Round z to the nearest 1000. 23000 Suppose -2*o - 7760 = -2*w, 3*w - 3*o = 4*w - 3868. Suppose -2*y = 3*b - 117 - w, -2*b - 3*y + 2661 = 0. Let s = b + -672. Round s to the nearest one hundred. 700 Let b = 204.17 - 205. Let w = 0.5 + b. Round w to 1 dp. -0.3 Let a = -236.48 + 1.48. Let p = a + 235.0000153. Round p to 6 decimal places. 0.000015 Let i = -691 + 690.629. What is i rounded to 2 decimal places? -0.37 Let m(i) = 7628638*i**2 + 2*i - 1. Let f be m(1). Let z be (1/3)/(1/44485917). Let o = f - z. What is o rounded to the nearest 1000000? -7000000 Let s = 205 + -204.99999064. What is s rounded to seven decimal places? 0.0000094 Suppose 2*k = 2826319 + 253681. Round k to the nearest 100000. 1500000 Suppose 2*w = 5*o + 3*w + 77, -23 = 2*o + 3*w. Let n be ((-64)/(-6))/(o/(-720)). What is n rounded to the nearest 100? 500 Let x = 1477780.2120127 - 1477780. Let c = x + -0.212. Round c to 6 dps. 0.000013 Let d = 1838.297862 - 687.298443. Let f = -1151 + d. What is f rounded to five dps? -0.00058 Let k = -1.219012 + 1.2648. Let z = 0.046 - k. Round z to five dps. 0.00021 Let q be (3 - 2)*9*4831. Let m = 79 + -75. Suppose q = -m*a - 76521. What is a rounded to the nearest one hundred thousand? 0 Let g = -103 + 101. Let b be (-11)/(-22) + (-5639999)/g. Round b to the nearest one hundred thousand. 2800000 Let v = 288590.2199999 + -288590.5. Let q = 0.28 + v. Round q to seven dps. -0.0000001 Let y = -10019 - -1799. What is y rounded to the nearest one thousand? -8000 Let v = -0.0318 + -131.9682. Let o = -1.354134 - -133.347234. Let q = v + o. Round q to three dps. -0.007 Let o = -4571730 + 6480730. What is o rounded to the nearest one million? 2000000 Let m be (-2500)/(95/(-418)*1/(-415)). What is m rounded to the nearest 1000000? -5000000 Let u = -503 + 513.19. Let c = u + -36.84. Let l = -26 - c. Round l to one decimal place. 0.7 Let k be (-612)/60 + 2/10. Let s be k/35 - 33804/21. Round s to the nearest 100. -1600 Let f = 17.66 - -0.34. Let l = f + -8. Let d = 9.9986 - l. What is d rounded to 3 decimal places? -0.001 Let b(t) = t**2 - 25*t + 4. Let c be b(25). Let y be -2 + ((-42)/(-15))/(c/(-10457140)). Round y to the nearest one million. -7000000 Let j = 1140 - 1110.62. Let k = -29 + j. Let r = -0.38033 + k. Round r to four dps. -0.0003 Let u = -93 + 132. Let d = u + -38.99999892. What is d rounded to 7 dps? 0.0000011 Let w(n) = -52777*n**2 - 34*n - 109. Let i be w(-3). What is i rounded to the nearest 1000000? 0 Let u = -6.0682 + 5.96. Let q = u - -0.1799. What is q rounded to 2 decimal places? 0.07 Let p = 6280 + -6280.03459. Let a = -14.035 - -14. Let q = p - a. Round q to four dps. 0.0004 Let v = 266 + -308.5. Round v to the nearest 10. -40 Let r = 235.99973 - 236. What is r rounded to 4 dps? -0.0003 Let o = 612.184 + -611. What is o rounded to one dp? 1.2 Let y(i) = 69*i**3 + 2*i**2 + i + 8. Let n be y(11). Round n to the nearest 10000. 90000 Let r = -0.134 + -90.866. Let h = 90.14 + r. Let v = -2.63 - h. Round v to 1 decimal place. -1.8 Let c(q) be the first derivative of q + 4 - 7/2*q**2. Let w be c(3). Round w to the nearest 100. 0 Let r = 0.065 - 25.065. Let i = r - -25.0000198. Round i to 5 decimal places. 0.00002 Let s(u) = 19 + 349*u - 3 - 2. Let r be (0 + 6/9)*21. Let j be s(r). Round j to the nearest one thousand. 5000 Let x = -8.9 - 28.1. Let y = x - -36.77. What is y rounded to 1 decimal place? -0.2 Suppose -c + 3*r - 5 + 20 = 0, 0 = -4*c - r - 5. Let q be c + -4 + (-3 - 5879993). Round q to the nearest one hundred thousand. -5900000 Let m = -165.17 + 164. Let q = 0.23 - 1.43. Let s = m - q. What is s rounded to one dp? 0 Let u = -4.23 + 5. Let v = u - 19.87. Round v to zero dps. -19 Let f = 49.13 + -49.1302189. Round f to five dps. -0.00022 Let x = 224 - 69. Let i = x - 155.000107. Round i to five dps. -0.00011 Let x = 30 + -30.00134. What is x rounded to 4 decimal places? -0.0013 Let w = 37 + 22. L
{ "pile_set_name": "DM Mathematics" }
e 15) to base 13. ac05 57006 (base 8) to base 10 24070 What is 141141 (base 5) in base 16? 16a4 Convert -1011030 (base 4) to base 15. -14a3 -102 (base 7) to base 6 -123 -1002323 (base 4) to base 7 -15326 What is 44001 (base 7) in base 16? 2ae1 Convert 84a (base 15) to base 5. 24440 What is 2002110 (base 3) in base 12? a70 -149 (base 10) to base 11 -126 Convert 1614 (base 7) to base 15. 2d3 Convert -710b (base 13) to base 15. -4924 -40645 (base 7) to base 4 -2123023 What is 251 (base 13) in base 4? 12110 What is -51565 (base 7) in base 15? -3b2a Convert 10141 (base 5) to base 9. 825 111111100101 (base 2) to base 16 fe5 Convert 10c (base 13) to base 8. 265 Convert 966 (base 14) to base 4. 130332 1037 (base 8) to base 16 21f Convert -15059 (base 13) to base 12. -1ab18 25144 (base 8) to base 6 122124 8117 (base 11) to base 6 121535 What is 101100100001 (base 2) in base 13? 13b2 What is 23546 (base 8) in base 10? 10086 Convert 7419 (base 10) to base 7. 30426 What is 3821 (base 12) in base 3? 22201121 111011100 (base 2) to base 3 122122 Convert 153606 (base 7) to base 9. 45310 What is -329 (base 12) in base 13? -29a Convert 4623 (base 7) to base 16. 693 -2202 (base 10) to base 15 -9bc Convert -7741 (base 10) to base 4. -1320331 Convert -1066 (base 7) to base 10. -391 Convert -411 (base 8) to base 9. -324 2142 (base 5) to base 6 1213 Convert 122110 (base 6) to base 10. 10842 What is -10504 (base 10) in base 15? -31a4 What is -528 (base 11) in base 12? -44b What is 417 (base 9) in base 8? 524 What is 221121120 (base 3) in base 7? 105303 -350 (base 16) to base 10 -848 What is -1456 (base 10) in base 7? -4150 992 (base 11) to base 6 5302 -2110212122 (base 3) to base 6 -1013412 Convert -edee (base 15) to base 10. -50399 Convert 1651 (base 13) to base 2. 110011001101 What is -214234 (base 6) in base 3? -220102111 -13323 (base 4) to base 15 -23c Convert -b95 (base 12) to base 13. -a07 Convert 1aa6 (base 16) to base 3. 100100200 Convert 2ab7 (base 14) to base 13. 3604 -6326 (base 7) to base 2 -100010110001 What is -332 (base 8) in base 7? -431 What is -46 (base 12) in base 16? -36 Convert 853 (base 11) to base 5. 13101 What is 534 (base 11) in base 16? 282 Convert -32a (base 13) to base 6. -2303 What is -1010011011 (base 2) in base 8? -1233 Convert 1020 (base 4) to base 3. 2200 -126031 (base 7) to base 16 -5c89 Convert -2832 (base 9) to base 4. -201113 -200021122 (base 3) to base 14 -4c00 Convert -1011221 (base 3) to base 9. -1157 105 (base 13) to base 9 213 Convert 26445 (base 7) to base 3. 100201120 Convert 5464 (base 9) to base 4. 332323 -110110 (base 3) to base 14 -1a0 Convert -a76d (base 15) to base 10. -35428 -4333 (base 6) to base 4 -33201 Convert -554233 (base 6) to base 2. -1011010011101101 What is -1032103 (base 4) in base 12? -2a97 Convert -4784 (base 9) to base 5. -103214 -134232 (base 6) to base 11 -9533 Convert 110000001110 (base 2) to base 15. dab 10218 (base 10) to base 14 3a1c -40324 (base 5) to base 4 -220131 1010111001011 (base 2) to base 9 7578 What is 4066 (base 7) in base 16? 58c -5ad (base 15) to base 16 -508 -1395 (base 10) to base 15 -630 Convert 1a29 (base 12) to base 9. 4346 -104 (base 5) to base 3 -1002 Convert -24305 (base 7) to base 12. -37b2 Convert 7 (base 13) to base 4. 13 -c8d (base 16) to base 15 -e43 What is -33450 (base 6) in base 5? -122320 Convert -103 (base 11) to base 4. -1330 26ac (base 14) to base 4 1222200 1186 (base 11) to base 8 3012 -110111110 (base 2) to base 16 -1be -788 (base 16) to base 3 -2122102 What is -305 (base 6) in base 15? -78 What is -11102 (base 4) in base 9? -415 Convert -112332 (base 4) to base 16. -5be Convert 53163 (base 7) to base 14. 4ada Convert -27213 (base 9) to base 10. -18399 What is 140356 (base 8) in base 7? 263665 What is -1510 (base 9) in base 7? -3222 What is -310002 (base 4) in base 10? -3330 Convert -1454 (base 8) to base 7. -2240 106606 (base 8) to base 13 1364c What is 1d3 (base 16) in base 15? 212 Convert -7452 (base 8) to base 9. -5283 Convert -3422 (base 8) to base 3. -2111001 Convert fc5 (base 16) to base 3. 12112112 -23350 (base 7) to base 9 -8221 -177 (base 15) to base 11 -287 -1212100 (base 3) to base 8 -2517 -ac5 (base 14) to base 4 -201111 254 (base 14) to base 15 211 Convert a1 (base 16) to base 9. 188 What is 16028 (base 10) in base 2? 11111010011100 Convert 10c9 (base 16) to base 6. 31521 What is -10000000101 (base 2) in base 3? -1102010 -d32 (base 16) to base 5 -102003 220 (base 14) to base 6 1540 What is 102014 (base 5) in base 6? 23400 What is 356 (base 7) in base 12? 138 Convert -652 (base 14) to base 8. -2340 Convert -511 (base 8) to base 3. -110012 Convert -6175 (base 15) to base 4. -11001221 -2120 (base 8) to base 11 -914 19452 (base 10) to base 13 8b14 -5848 (base 10) to base 15 -1aed Convert 655 (base 7) to base 3. 110101 What is -5315 (base 8) in base 11? -2094 What is b22 (base 12) in base 7? 4460 Convert -7500 (base 9) to base 13. -2679 What is -225 (base 15) in base 3? -122222 -2355 (base 6) to base 12 -3bb Convert -255 (base 11) to base 15. -152 What is 1240120 (base 5) in base 16? 5f5a What is -6b0 (base 15) in base 16? -5eb Convert -204 (base 6) to base 3. -2211 1430 (base 7) to base 2 1000110000 Convert -393 (base 12) to base 14. -2ab Convert -1301322 (base 4) to base 6. -53430 1101111010 (base 2) to base 12 622 Convert -223410 (base 5) to base 2. -1111100101100 -4afb (base 16) to base 10 -19195 What is 6306 (base 9) in base 12? 2813 Convert -7a4 (base 14) to base 4. -113230 a9 (base 15) to base 11 135 What is 20211010 (base 3) in base 8? 11553 Convert 26e7 (base 15) to base 2. 10000001111101 Convert -4b6 (base 12) to base 9. -873 Convert 10413 (base 5) to base 12. 511 What is -411a (base 11) in base 6? -41150 What is -542 (base 12) in base 11? -640 Convert -312130 (base 4) to base 5. -102414 What is 52266 (base 8) in base 7? 120140 What is 101011110 (base 3) in base 4? 1303302 What is -d69a (base 15) in base 11? -310a6 What is -133 (base 4) in base 2? -11111 Convert -111b (base 13) to base 5. -34030 What is -604 (base 7) in base 12? -20a Convert 8a0 (base 15) to base 16. 79e What is 15a (base 16) in base 5? 2341 -2062 (base 8) to base 13 -648 661 (base 9) to base 15 261 -32b5 (base 15) to base 3 -112201222 What is -22244 (base 6) in base 5? -44444 -1110021121 (base 3) to base 6 -340324 -4104 (base 5) to base 15 -254 -204443 (base 6) to base 4 -10003023 -1e (base 15) to base 3 -1002 Convert 371 (base 8) to base 6. 1053 Convert -11011001001 (base 2) to base 5. -23422 -10121211 (base 4) to base 9 -26643 What is 1024 (base 8) in base 5? 4112 What is -268 (base 12) in base 6? -1412 Convert -18aa2 (base 11) to base 15. -7d41 What is -341131 (base 5) in base 2? -10111100001001 12b7 (base 12) to base 6 13551 What is -11388 (base 14) in base 13? -16098 -1010000 (base 4) to base 16 -1100 -31223 (base 4) to base 7 -2360 Convert -15443 (base 7) to base 16. -10f7 What is -2404221 (base 5) in base 8? -126427 What is -12216 (base 8) in base 3? -21012220 -11000011010 (base 2) to base 9 -2125 -9a8 (base 11) to base 2 -10010110111 What is 1272 (base 14) in base 4? 302210 Convert -12122102 (base 3) to base 16. -1013 Convert -101130313 (base 4) to base 10. -71479 2038 (base 11) to base 7 10611 What is 7146 (base 15) in base 13? ab69 -1686 (base 12) to base 2 -101010000110 What is -323 (base 5) in base 13? -6a What is 1581 (base 13) in base 6? 22323 -4825 (base 14) to base 5 -400302 1023 (base 7) to base 6 1400 624 (base 12) to base 6 4044 -11544 (base 7) to base 11 -22a7 Convert 10100101 (base 4) to base 16. 4411 1513 (base 6) to base 2 110010101 What is 1205 (base 16) in base 10? 4613 -77 (base 16) to base 12 -9b d9b (base 14) to base 12 1679 What is -3125 (base 10) in base 16? -c35 Convert -1135 (base 7) to base 15. -1cd Convert 12173 (base 8) to base 2. 1010001111011 What is -10000212 (base 3) in base 13? -1010 What is b7 (base 16) in base 9? 223 230201 (base 5) to base 16 1ff0 What is -4297 (base 10) in base 15? -1417 What is 10023111 (base 4) in base 10? 17109 What is 125321 (base 8) in base 15? ce54 What is -9764 (base 16) in base 15? -b73b What is 34a (base 13) in base 5? 4234 -24019 (base 12) to base 7 -261060 -2020111210 (base 3) to base 5 -2402422 Conve
{ "pile_set_name": "DM Mathematics" }
= 10, 0 = 2*k - 5*i + 15. Calculate the remainder when ((-11)/k)/(4/(-20)) is divided by 4. 3 Let f be (-204)/26 + (-14)/91. Let n = f + 101. Calculate the remainder when n is divided by 24. 21 Suppose 3*g + 11 = g + 5*x, 0 = g - 5*x + 13. Suppose -g*y = 2*y - 16. What is the remainder when 14 is divided by y? 2 Suppose 2*q - 89 = -4*r - 3*q, 0 = 2*q - 2. Calculate the remainder when 59 is divided by r. 17 Suppose 0*l + 2*l = 0. Let m = l + 1. What is the remainder when 2 is divided by m? 0 Let d = 4 - -15. Let h = -12 + d. What is the remainder when h is divided by 3*2/3 - -2? 3 Let s = -30 - -55. Calculate the remainder when 96 is divided by s. 21 Let t be (2/4)/((-8)/(-48)). Suppose r + t = y, 2*y - 7*y = r - 9. Calculate the remainder when (74/4*y)/1 is divided by 19. 18 Let l = -1 - -11. Calculate the remainder when l is divided by 4. 2 Suppose 0 = 19*a - 15*a - 56. Suppose 0*v + 75 = -5*v. Let i = v + 56. Calculate the remainder when i is divided by a. 13 Let f(l) = 7*l**3 - l**2 + l. Let m = 90 + -70. What is the remainder when m is divided by f(1)? 6 Suppose 3*q + 45 = v, 0 = -v + 3*v - 3*q - 99. Calculate the remainder when v is divided by 19. 16 Let q(o) = 8*o - 3. Let n be q(7). Suppose n - 17 = 3*u - 3*c, u = -3*c. What is the remainder when u is divided by 6? 3 Suppose 5*v - 3*r = 270, 24 = 3*v + 3*r - 162. Calculate the remainder when v is divided by 15. 12 Let g(h) = h**3 + h**2 + h + 4. What is the remainder when 5/20 - (165/12)/(-1) is divided by g(0)? 2 Let g(j) = 5*j**3 - 3*j**2 + 3*j - 2. What is the remainder when g(2) is divided by 17? 15 Suppose -4*k - 5*t = -25 - 56, -4*t - 12 = 0. What is the remainder when k is divided by (-164)/(-12) + 4/(-6)? 11 Let z = -85 + 164. What is the remainder when z is divided by 21? 16 Suppose 3*u = -u + 40. Suppose 0 = 9*t - 6*t - 12. Calculate the remainder when u is divided by t. 2 Let h = -6 - -3. Let z be h + 5 + 1 + -3. Suppose 2*w + 24 - 76 = z. Calculate the remainder when w is divided by 9. 8 Let l = 42 - 36. What is the remainder when (3/2)/((-1)/(-10)) is divided by l? 3 Suppose 2*q + 0*q - 94 = 0. Let k = -25 + q. Suppose 2*w + 3*w + f = 60, -60 = -5*w + 4*f. Calculate the remainder when k is divided by w. 10 Let o(p) = -p + 15. Let l = -2 - -5. Let b = l - 0. Calculate the remainder when o(8) is divided by b. 1 Suppose 3*p = x - 3 + 29, 0 = -p + 4*x + 16. Suppose n + 3*n + g - 4 = 0, -4*n = 5*g - 4. Let y = p - n. What is the remainder when y is divided by 4? 3 Let v(b) = b**3 + 8*b**2 - 4*b + 9. Let s(l) = -l**2 - 10*l - 13. What is the remainder when v(-8) is divided by s(-6)? 8 Let k = -9 - -8. What is the remainder when 3 is divided by k - (-3 - 0) - -1? 0 Suppose 0 = 6*i - i - 20. Calculate the remainder when i is divided by 3. 1 Let u be 66/15 - 2/5. Suppose 0 = -5*c + 2*k + 101, -u*c + 51 = -4*k - 37. What is the remainder when 2/1*(31 + -3) is divided by c? 18 Suppose -31 = -5*l + 3*k, 0 = -4*l - 0*k - k + 35. Let g(u) = -u**2 + 10*u - 8. Calculate the remainder when 22 is divided by g(l). 6 Let a = 12 - 3. What is the remainder when 15 is divided by a? 6 Let v = 8 - -11. Suppose -3*j - 29 = v. Let g = 1 - j. What is the remainder when 49 is divided by g? 15 Suppose 0 = -2*v + 6*v - 144. Suppose -3*b - 11 = -50. Calculate the remainder when v is divided by b. 10 Let y(u) = -32*u**3 - 2*u**2 - 2*u - 1. Let i be (0 - -2)*(-3)/2. Let k = -4 - i. What is the remainder when y(k) is divided by 11? 9 Let z be 9/((6/(-8))/(-1)). Let f be (-2 - 0)/(z/(-174)). Let m = -10 + f. Calculate the remainder when m is divided by 10. 9 Calculate the remainder when 32 is divided by 10/(-15) + (-60)/(-9) + 1. 4 Let l(x) = -3*x - 6. Let z be l(-4). Let r be (-12)/(-8)*-2 - -6. What is the remainder when 50 is divided by 100/z + 1/r? 16 Let f(a) = -3*a**3 - 3*a**2 - a + 3. What is the remainder when 116 is divided by f(-2)? 14 Let s = -52 - -74. Calculate the remainder when 39 is divided by s. 17 Let h(r) = 2*r - 6. Suppose 26 = -0*b + 2*b. Calculate the remainder when 39 is divided by h(b). 19 Let x(a) = -5*a**3 - 4*a**2 - 4*a - 2. Suppose -2*m - k - 10 = -5*k, 5*m + 3 = -k. Calculate the remainder when x(-2) is divided by (96/(-18))/(m/3). 14 Suppose -72 = -4*z + k, 4*z + z - k = 90. Suppose -6*v + 249 = -v - 4*b, v = -5*b + 73. Calculate the remainder when v is divided by z. 17 Let b = -26 + 41. Let y(z) = 2*z**2 - 10*z**3 + 8*z**3 + z - b*z**3. What is the remainder when y(-1) is divided by 10? 8 Let u = -2 - -45. What is the remainder when u is divided by 15? 13 Let o(h) = 17*h - 10. Calculate the remainder when o(4) is divided by 15. 13 Suppose 228 = 2*t + t. Calculate the remainder when t is divided by 26. 24 Suppose 4*n = l + 160, -3*n + 115 = 2*l - 4*l. Suppose -4*z + n = -3. Calculate the remainder when (-2)/(-8) + 254/8 is divided by z. 10 Calculate the remainder when 13 is divided by (3/2)/((-5)/(-10)). 1 Suppose 0 = 2*l - 20 + 2. What is the remainder when 17 is divided by l? 8 Let t = 17 - 15. Let l = -2 + 2. Let k = l + 3. Calculate the remainder when k is divided by t. 1 Let d = -4 - -17. Suppose z - 3*u - 31 = 0, -80 - 18 = -4*z - u. What is the remainder when z is divided by d? 12 Let b(l) = 1 + 0*l + 3*l - 10 + l. Calculate the remainder when b(8) is divided by 13. 10 Let y(o) = -o**3 - o**2 - o - 22. Let a(t) = t + 2. Let f be a(-2). Let z be y(f). What is the remainder when (z/(-3) + -2)*6 is divided by 11? 10 Let b be -1*3*(-4)/12. Suppose -r = -8 - b. Calculate the remainder when 35 is divided by r. 8 Suppose 2*p = -22 + 44. Suppose -3*o + 0*o + 4*m = -125, 170 = 4*o - 2*m. What is the remainder when o is divided by p? 10 Let o = 62 + -7. Calculate the remainder when o is divided by 14. 13 Suppose 2*c = -h + 4 + 15, 5*h - c = 95. Calculate the remainder when 37 is divided by h. 18 Suppose -22 = 4*d + 6. Let u = d - -5. Calculate the remainder when 27 is divided by 3 + (-1 - u) + 6. 7 Let k be (-20 - 0)*6/(-10). Let i = 29 - k. Calculate the remainder when i is divided by (-8)/6*30/(-4). 7 What is the remainder when (-1 - -2) + 53 - (-3 + 4) is divided by 28? 25 Suppose 0 = 5*c - 10 + 55. Calculate the remainder when 6 is divided by (1 + 2)/c*-12. 2 Let a = 50 + -41. Let n(b) = -b + 7. Calculate the remainder when n(-7) is divided by a. 5 Let g = 108 + -18. Calculate the remainder when g is divided by 23. 21 Suppose -3*x - g = -4, -2*x + g + 21 = -2*g. Suppose -2*q - x = v - 23, -5*q = 4*v - 89. What is the remainder when v is divided by 7? 5 Suppose 3*a = -2*o + 17, 3*a - 2 = 1. Let l = o - -8. Suppose 5*k + d = 289, -k = 2*k + d - 175. Calculate the remainder when k is divided by l. 12 Suppose 2*y = 8*y - 228. Let h = 25 + -14. What is the remainder when y is divided by h? 5 Let l(v) = -5*v - 11. What is the remainder when l(-6) is divided by 12? 7 Let k(z) = 28*z**3 + 2*z**2 - 3. Let h(s) = -57*s**3 - 5*s**2 + 7. Let r(q) = -2*h(q) - 5*k(q). What is the remainder when r(-1) is divided by 15? 12 Let w(q) = -3*q**3 - 3*q**2 + q + 2. Let m be w(-2). Calculate the remainder when 34 is divided by m + 0*(-4)/12. 10 Let f(t) = -3*t**3 + t + 1. Let c be f(-1). Let b be ((-24)/9 + c)*9. Calculate the remainder when 1/(86/(-29) + b) is divided by 8. 5 Calculate the remainder when (6*((-49)/(-3))/1)/2 is divided by 13. 10 Let o = 26 + -5. What is the remainder when o is divided by 6? 3 Suppose l = -n + 13, 2*l - 3*l + 3*n + 33 = 0. What is the remainder when 68 is divided by l? 14 Let l(f) = -3*f**3 + 1. Let h be l(-1). Suppose -h*q + 0*q = -48. What is the remainder when 34 is divided by q? 10 Let b(o) = -o**3 + 6*o**2 - 2*o - 5. Calculate the remainder when 29 is divided by b(5). 9 Suppose 0 = -5*h + 109 - 24. What is the remainder when h is divided by 4? 1 What is the remainder when 152 is divided by (0/(-1 - -3) - 31)/(-1)? 28 Let k(y) = 3*y**2 - 1. Let d be k(1). Let w(n) = n**3 - 3*n**2 + n + 1. Let c be w(d). Let j(r) = -22*r - 1. What is the remainder when j(c) is divided by 11? 10 Suppose 0 = -s + 14 - 2. Suppose -70*n - 66 = -73*n. Calculate the remainder when n is divided by s. 10 Suppose -5*o - 4 = -14. Calculate the remainder when o is divided by 1. 0 Let b(z) = 48*z**2. What is the remainder when b(1) is divided by 17? 14 Suppose -3 = -0*u - u. Suppose -u*a
{ "pile_set_name": "DM Mathematics" }
h of a litre? 200 What is seven quarters of a gram in milligrams? 1750 How many micrometers are there in one twentieth of a meter? 50000 What is 3/40 of a litre in millilitres? 75 How many kilometers are there in 60708.35cm? 0.6070835 What is one tenth of a kilogram in milligrams? 100000 How many minutes are there in thirteen twelths of a hour? 65 Convert 0.9999997 micrograms to tonnes. 0.0000000000009999997 What is eighteen fifths of a millennium in decades? 360 What is one tenth of a microgram in nanograms? 100 What is 912.8014 millennia in years? 912801.4 How many millilitres are there in 26/5 of a litre? 5200 Convert 219.8671kg to tonnes. 0.2198671 Convert 57.47376mg to nanograms. 57473760 How many milligrams are there in 77/5 of a gram? 15400 How many years are there in 13/4 of a century? 325 How many months are there in fourty-three thirds of a decade? 1720 How many milliseconds are there in 1/4 of a second? 250 What is 876.0682 milligrams in micrograms? 876068.2 What is 6/25 of a second in milliseconds? 240 Convert 0.44516 millilitres to litres. 0.00044516 What is 1/5 of a millennium in centuries? 2 What is 3/8 of a millimeter in micrometers? 375 What is 42.51873 weeks in nanoseconds? 25715327904000000 How many months are there in 3/5 of a millennium? 7200 What is 3/25 of a milligram in micrograms? 120 How many millimeters are there in 761.1617 kilometers? 761161700 Convert 67198.77 nanoseconds to seconds. 0.00006719877 How many micrometers are there in twenty-one halves of a millimeter? 10500 What is 845.1473 litres in millilitres? 845147.3 How many nanometers are there in nineteen quarters of a micrometer? 4750 How many nanometers are there in 3/25 of a micrometer? 120 What is 13/5 of a litre in millilitres? 2600 Convert 4.568868 decades to centuries. 0.4568868 What is 27/5 of a millennium in centuries? 54 Convert 52052.64 days to hours. 1249263.36 How many seconds are there in 13/5 of a hour? 9360 What is 22249765.8us in days? 0.0002575204375 How many millilitres are there in 3/5 of a litre? 600 What is 44.49113 tonnes in nanograms? 44491130000000000 What is 31/5 of a kilometer in meters? 6200 How many nanograms are there in 87/4 of a microgram? 21750 How many milliseconds are there in 671674.7ns? 0.6716747 How many millilitres are there in twenty-six fifths of a litre? 5200 Convert 523.1061 weeks to milliseconds. 316374569280 What is 1/5 of a kilometer in meters? 200 What is seventeen halves of a litre in millilitres? 8500 How many nanograms are there in 6/25 of a microgram? 240 Convert 0.4823591 millilitres to litres. 0.0004823591 What is 93/4 of a hour in seconds? 83700 How many millimeters are there in 21/8 of a meter? 2625 How many litres are there in 42721.59ml? 42.72159 Convert 1.694189 decades to centuries. 0.1694189 What is 86.14267g in kilograms? 0.08614267 How many millimeters are there in 1/5 of a centimeter? 2 Convert 3.024333l to millilitres. 3024.333 How many millimeters are there in 57.70603km? 57706030 How many hours are there in 2/21 of a week? 16 What is 49/5 of a decade in years? 98 How many micrograms are there in 433.802 nanograms? 0.433802 What is 3/8 of a century in months? 450 What is 61/4 of a litre in millilitres? 15250 How many months are there in 3/8 of a millennium? 4500 How many millilitres are there in 27/2 of a litre? 13500 How many litres are there in 44.13441ml? 0.04413441 What is nineteen quarters of a millimeter in micrometers? 4750 Convert 761252.4nm to micrometers. 761.2524 Convert 327.8216ug to nanograms. 327821.6 What is 79.04539l in millilitres? 79045.39 How many millilitres are there in 466.438l? 466438 How many seconds are there in 11/8 of a hour? 4950 What is seven thirds of a century in months? 2800 What is fifty-five quarters of a tonne in kilograms? 13750 What is three fifths of a millennium in months? 7200 How many kilometers are there in 4.282721 millimeters? 0.000004282721 How many kilometers are there in 8.646162 nanometers? 0.000000000008646162 What is 3853.486 milligrams in tonnes? 0.000003853486 What is 2.285943 tonnes in milligrams? 2285943000 What is 8783.872mg in tonnes? 0.000008783872 How many months are there in 2.586927 centuries? 3104.3124 What is 282.9105 litres in millilitres? 282910.5 How many grams are there in 167986.2t? 167986200000 What is 7/2 of a litre in millilitres? 3500 How many minutes are there in three fifths of a week? 6048 What is 3/8 of a minute in milliseconds? 22500 What is 9/10 of a millennium in years? 900 How many grams are there in 0.7552141ng? 0.0000000007552141 What is 5/6 of a week in hours? 140 Convert 0.8488711 milligrams to grams. 0.0008488711 Convert 480987.5 minutes to seconds. 28859250 How many centuries are there in thirty-two fifths of a millennium? 64 How many millilitres are there in 13/4 of a litre? 3250 What is 8776441.8 minutes in weeks? 870.67875 What is twenty-seven quarters of a litre in millilitres? 6750 What is three fifths of a litre in millilitres? 600 How many meters are there in three eighths of a kilometer? 375 Convert 61136.5 millilitres to litres. 61.1365 How many years are there in 236441.55 months? 19703.4625 Convert 1364.275 millilitres to litres. 1.364275 How many millilitres are there in one fifth of a litre? 200 What is one quarter of a milligram in micrograms? 250 How many kilometers are there in 0.767654m? 0.000767654 Convert 183678.354s to days. 2.125906875 Convert 65206.52 millilitres to litres. 65.20652 What is 253361.6 weeks in days? 1773531.2 What is 12/25 of a litre in millilitres? 480 How many millilitres are there in fifteen quarters of a litre? 3750 What is 3/25 of a gram in milligrams? 120 What is fifty-seven fifths of a litre in millilitres? 11400 What is 0.0291443ug in milligrams? 0.0000291443 How many kilograms are there in 7/2 of a tonne? 3500 How many nanograms are there in twenty-five halves of a microgram? 12500 How many years are there in 0.48808 decades? 4.8808 How many kilograms are there in thirty-two fifths of a tonne? 6400 Convert 86645.37 weeks to hours. 14556422.16 How many micrometers are there in 13/4 of a millimeter? 3250 What is 19/4 of a microgram in nanograms? 4750 How many decades are there in seventeen halves of a century? 85 Convert 8.104609 years to decades. 0.8104609 How many centuries are there in 104090.37 months? 86.741975 What is 29.99248km in micrometers? 29992480000 What is 4713.991 milligrams in tonnes? 0.000004713991 How many hours are there in seven sixths of a day? 28 What is six fifths of a meter in centimeters? 120 What is 0.0222448 centuries in decades? 0.222448 Convert 134.319ms to minutes. 0.00223865 What is 7/2 of a meter in centimeters? 350 How many nanometers are there in seventy-six fifths of a micrometer? 15200 How many milligrams are there in 125.513g? 125513 How many minutes are there in 2/21 of a week? 960 How many millilitres are there in 255163.9l? 255163900 How many millennia are there in 0.829698 months? 0.0000691415 What is six fifths of a tonne in kilograms? 1200 What is 34.91334 milliseconds in seconds? 0.03491334 Convert 75.65226 millilitres to litres. 0.07565226 What is fifty-two fifths of a gram in milligrams? 10400 Convert 0.1552598 years to centuries. 0.001552598 How many millilitres are there in fourty-one halves of a litre? 20500 What is 8674.423 kilograms in tonnes? 8.674423 How many millilitres are there in 1/4 of a litre? 250 How many micrograms are there in five quarters of a milligram? 1250 What is 3/40 of a litre in millilitres? 75 How many millilitres are there in seven quarters of a litre? 1750 How many micrometers are there in 7/8 of a millimeter? 875 How many millilitres are there in 3.107713 litres? 3107.713 What is 70.64103 weeks in days? 494.48721 How many grams are there in 0.8170835ng? 0.0000000008170835 Convert 2.168588 seconds to microseconds. 2168588 What is five quarters of a minute in seconds? 75 How many millennia are there in 1.281897 months? 0.00010682475 How many grams are there in 6/25 of a kilogram? 240 What is 170.53797 months in centuries? 0.142114975 What is 28/9 of a day in minutes? 4480 What is 6303.04 years in millennia? 6.30304 Convert 253951.1 microseconds to seconds. 0.2539511 How many months are there
{ "pile_set_name": "DM Mathematics" }
o. 2*(y - 2)*(y + 1)/7 Let p(n) be the first derivative of 3*n**5/20 + 9*n**4/16 + n**3/4 - 9*n**2/8 - 3*n/2 + 8. Factor p(m). 3*(m - 1)*(m + 1)**2*(m + 2)/4 Let z(u) = 2 + 2*u**4 - u**2 + 2*u**2 + 2*u**2 + u**4. Let a(w) = -13*w**4 - w**3 - 13*w**2 - 9. Let n(h) = -2*a(h) - 9*z(h). What is k in n(k) = 0? 0, 1 Let v be (-2)/3 - (-88)/33. Let b(p) be the second derivative of -1/30*p**3 + 0*p**4 + 1/100*p**5 + 0 - 3*p + 0*p**v. Factor b(k). k*(k - 1)*(k + 1)/5 Factor -4 - 2*f - 1/4*f**2. -(f + 4)**2/4 Let m(x) be the first derivative of -3 + 0*x - 1/2*x**4 - 4/3*x**5 + 1/3*x**2 + 8/9*x**6 + 8/9*x**3. Solve m(a) = 0. -1/2, -1/4, 0, 1 Let i(t) = -3*t**3 + 3*t**2 - 19*t - 3. Let o(f) = 2*f**3 - 2*f**2 + 10*f + 2. Let c(n) = 6*i(n) + 11*o(n). Find u, given that c(u) = 0. -1, 1 Let r(m) = m**2 - 7*m + 5. Let f be r(7). Suppose f*g - 11 + 1 = 0. Factor -1/4*j**g + 0 - 1/4*j. -j*(j + 1)/4 Let p(m) be the first derivative of 3*m**5/5 + 25*m**4/12 - 2*m**3/3 - 6*m**2 + 8*m/3 - 17. Factor p(a). (a - 1)*(a + 2)**2*(9*a - 2)/3 Let l(h) be the first derivative of -h**7/525 + h**6/100 - h**5/50 + h**4/60 - h**2 + 5. Let z(k) be the second derivative of l(k). Factor z(o). -2*o*(o - 1)**3/5 Let g be (4/(-8))/(1/(-4)). Factor -g*f**2 - 2 - 2*f**2 - 4*f + 0*f**2 + 2*f**2. -2*(f + 1)**2 Let a = -9/28 + 101/140. Suppose 6/5*s**2 + a*s**4 + 2/5*s + 0 + 6/5*s**3 = 0. What is s? -1, 0 Suppose 9*x + 7 = 25. Suppose -1/5*h + 0 + 1/5*h**x = 0. Calculate h. 0, 1 Let r(q) be the third derivative of -q**7/6300 - q**6/900 - q**5/300 + q**4/12 - 5*q**2. Let z(a) be the second derivative of r(a). Factor z(i). -2*(i + 1)**2/5 Let s be 27/(-3)*16/6. Let j = s + 122/5. Determine c so that 2/5*c**2 + 2/5*c**3 - 2/5*c - j = 0. -1, 1 Let z(a) = -2*a**4 - 4*a**3 - 3*a**2 + a + 2. Let m(r) be the first derivative of -r**3/3 - r**2/2 + 4. Let u(b) = 3*m(b) - z(b). Factor u(j). 2*(j - 1)*(j + 1)**3 Let d(k) be the second derivative of -5*k**4/24 - 5*k**3/12 - 4*k. Suppose d(g) = 0. What is g? -1, 0 Factor 6*j**3 + 9*j**2 + 0*j**2 - 3*j**3 + 6*j. 3*j*(j + 1)*(j + 2) Let x(l) be the second derivative of -7*l**5/5 + 5*l**4/3 + 4*l**3/3 + 12*l. Find i such that x(i) = 0. -2/7, 0, 1 Let j = -19/5 + 53/10. Let d(f) be the first derivative of -1 + j*f**2 + 2*f + 1/3*f**3. Suppose d(b) = 0. Calculate b. -2, -1 Find n, given that -n**4 + 2*n - 4*n**3 + 1 + 0*n + 2*n**3 = 0. -1, 1 Let b(w) = -2*w**3 + 18*w**2 - 22*w + 8. Suppose 5*x - 5 - 5 = 0. Let d(f) = -2*f + 3*f + x*f**3 - f**3. Let n(a) = -b(a) + 2*d(a). Let n(h) = 0. Calculate h. 1/2, 2 Let r(k) be the second derivative of k**7/1680 - k**6/960 - 4*k**2 + 10*k. Let s(l) be the first derivative of r(l). Factor s(q). q**3*(q - 1)/8 Let w(r) be the second derivative of 5*r**4/4 + 10*r**3/3 - 10*r**2 + r - 24. Let w(v) = 0. What is v? -2, 2/3 Find y, given that -1/4*y**3 + 0*y**2 - 1/4*y**4 + 0 + 0*y = 0. -1, 0 Let g(x) be the third derivative of -x**6/720 + x**5/240 + x**4/24 - x**3/2 + 3*x**2. Let v(d) be the first derivative of g(d). Find z such that v(z) = 0. -1, 2 Find c, given that 2/9*c**3 - 1/9 + 0*c**2 - 2/9*c + 1/9*c**4 = 0. -1, 1 Let g = 6 + -7. Let c be g - ((-8)/3 - -1). Factor -c*l**3 + 1/3*l**4 + 0*l + 0 + 1/3*l**2. l**2*(l - 1)**2/3 Let h(m) be the second derivative of m**7/4200 - m**5/200 - m**4/12 - 3*m. Let b(t) be the third derivative of h(t). Suppose b(z) = 0. What is z? -1, 1 Let i be 6*((-44)/(-12) + -3). Let n be ((-18)/(-84))/(1/i). Factor 0 - 6/7*c**3 - 2/7*c**4 - 2/7*c - n*c**2. -2*c*(c + 1)**3/7 Let n(w) be the second derivative of 5*w**7/56 + 11*w**6/24 + 7*w**5/8 + 5*w**4/8 - 5*w**3/24 - 5*w**2/8 + 30*w. Factor n(a). 5*(a + 1)**4*(3*a - 1)/4 Let f(y) be the second derivative of 2*y + 1/3*y**2 + 0 - 1/6*y**3 + 1/36*y**4. Let f(t) = 0. What is t? 1, 2 Let v(b) be the third derivative of b**7/420 + b**6/60 + b**5/24 + b**4/24 - 5*b**2. Factor v(q). q*(q + 1)**2*(q + 2)/2 Suppose -3*m + 8 - 2 = 0. Suppose 0*v - 9 = -3*v. Suppose s - v*s**2 + s**m + 0*s**2 + s**3 = 0. Calculate s. 0, 1 Suppose -24 = -i + 4*i. Let w(z) = z**3 + 9*z**2 + 8*z + 2. Let q be w(i). Factor q - j - 12*j**3 + 11*j + 32*j**3 + 10*j**4 + 20*j**2 + 0 + 2*j**5. 2*(j + 1)**5 Let k(v) = 8*v**3 + 8*v**2 - 3*v - 8. Let c(l) = 12*l**3 + 12*l**2 - 4*l - 12. Let h(o) = 5*c(o) - 8*k(o). Factor h(p). -4*(p - 1)*(p + 1)**2 Let s(p) = 4*p**2 - 6*p + 4. Let b(d) = 17*d**2 - 24*d + 16. Let r(i) = 2*b(i) - 9*s(i). Let r(w) = 0. Calculate w. 1, 2 Let b(l) be the first derivative of l**3/3 - 5. Factor b(c). c**2 Factor 0*r**3 + 1/2*r**5 + 0*r**4 + 0*r**2 + 0*r + 0. r**5/2 Let m(x) = x**3 - 3*x**2 - 3*x - 2. Let q(l) = 4*l. Let z be q(1). Let u be m(z). Factor -8/3 - 2/3*h**u + 8/3*h. -2*(h - 2)**2/3 Suppose -3*a = -2*q - 0*q, -5*a = 5*q - 25. Factor -3*h**5 + h**3 + 6*h**q - h**3 - 3*h. -3*h*(h - 1)**2*(h + 1)**2 Determine m so that 10/21*m**3 - 26/21*m - 2/7*m**2 + 20/21 + 2/21*m**4 = 0. -5, -2, 1 Factor 1/2*x**2 + 2 + 2*x. (x + 2)**2/2 Let w(f) = 5*f - 7. Let h be w(3). Suppose n + 3*l = 4 + h, 3*l = n + 12. Suppose n*k**3 + 0 - 2/3*k**4 + 2/3*k**2 + 0*k = 0. Calculate k. -1, 0, 1 Factor 0*k + 4/9*k**2 - 2/9*k**3 - 2/9*k**4 + 0. -2*k**2*(k - 1)*(k + 2)/9 Suppose 26 = 3*t - 4*i, -8 - 6 = -3*t - 2*i. Factor -t*d**2 - 11*d**4 + 12*d**4 + 1 + 4*d**2. (d - 1)**2*(d + 1)**2 Let i(c) be the first derivative of -4*c + 1/50*c**5 + 0*c**4 + 0*c**2 - 1/15*c**3 + 4. Let y(t) be the first derivative of i(t). Factor y(a). 2*a*(a - 1)*(a + 1)/5 Let o(v) be the second derivative of -v**4/36 + v**3/3 - 3*v**2/2 - 7*v. Suppose o(l) = 0. Calculate l. 3 Suppose 0 = -3*t + 4*d - 16, -2*t + t - 3*d + 12 = 0. Let y(m) be the second derivative of -1/3*m**3 + 1/12*m**4 + t + 1/2*m**2 + 3*m. Solve y(u) = 0 for u. 1 Let t(a) be the second derivative of -1/16*a**5 + 3*a + 0 + 5/24*a**3 - 1/4*a**2 + 1/24*a**4. Solve t(j) = 0. -1, 2/5, 1 Find w such that 0*w**2 + 0*w + 0*w**3 + 0 + 2/3*w**4 + 2/3*w**5 = 0. -1, 0 Let k(j) be the first derivative of j**4/4 - 3*j**3 + 27*j**2/2 - 27*j - 11. Factor k(v). (v - 3)**3 Let c(f) be the first derivative of -f**7/35 + f**6/30 + f**5/10 - f**4/6 - 2*f**2 + 5. Let b(r) be the second derivative of c(r). Factor b(k). -2*k*(k - 1)*(k + 1)*(3*k - 2) Let x = -144/7 - -21. Find m, given that 3/7 + x*m**3 - 3/7*m**2 - 3/7*m = 0. -1, 1 Suppose k = 23 - 8. Suppose -2*x = 4*u - 10, -2*u + 6*u = 3*x + k. Factor -b**2 + 2*b**3 - 4*b**u + b**3. -b**2*(b + 1) Let x(n) be the second derivative of -1/30*n**4 + 1/15*n**3 + 0*n**2 + 0 + 4*n. Factor x(a). -2*a*(a - 1)/5 Let z(l) be the third derivative of l**6/60 - l**5/30 - 5*l**4/12 - l**3 - 16*l**2. Factor z(d). 2*(d - 3)*(d + 1)**2 Let q(b) be the second derivative of 2*b + 1/21*b**4 + 0*b**3 - 1/7*b**2 + 0 - 1/105*b**6 + 0*b**5. Factor q(l). -2*(l - 1)**2*(l + 1)**2/7 Let p be (5/600*1)/((-3)/(-4)). Let y(s) be the second derivative of p*s**6 + 1/15*s**5 + 2/9*s**3 - s + 0 + 1/6*s**4 + 1/6*s**2. Factor y(n). (n + 1)**4/3 Let i(m) be the first derivative of 243*m**6/13 - 486*m**5/65 - 189*m**4/13 - 200*m**3/39 - 8*m**2/13 + 2. Solve i(q) = 0. -2/9, 0, 1 Let h(u) be the first derivative of u**4/4 + u**3/3 - 2*u**2 - 4*u + 3. Factor h(b). (b - 2)*(b + 1)*(b + 2) Let r be (-4)/(-10) - 10/25. Factor r - 2/7*o**2 + 4/7*o. -2*o*(o - 2)/7 Suppose -18 = -4*l - 2. Determine f so that -188*f**2 + 188*f**2 + 2*f**l + 2*f**5 = 0. -1, 0 Let m be (-11)/(-4) + (-2)/(-8). Solve -10/9*w**m + 0 + 2/3*w + 4/9*w**2 = 0. -3/5, 0, 1 Let c be -1 - 203*6/(-10). Let t = -120 + c. Factor -2/5*l**5 - 2/5*l + 2/5*l**4 - t*l**2 + 2/5 + 4/5*l**3. -2*(l - 1)**3*(l + 1)**2/5 Suppose 1 = -a + 3*p - 0*p, 4*a = 4*p - 4. Let g be 3/12 - a/(-4). Factor 0*w - 1/3*w**3 + g + 1/3*w**4 + 1/3*w**5 - 1/3*w**2. w**2*(w - 1)*(w + 1)**2/3 Let o(k) = -2*k + 16. Let p be o(8). Factor p*c**4 + 26*c + 0 + 9 - 2*c + 18*c**2 - 3*c**4. -3*(c - 3)*(c + 1)**3 Let b(n) = n**2 - 5*n - 1. Let g be b(6). Let s be 2 - g - (-46)/14. Factor 2/7 + 0*r - s*r**2. -2*(r - 1)*(r + 1)/7 Suppose 4*v = 8*v - 56. Solve -5*n**2 - 10*n - 6*n + v*n**2 - 4 = 0. -2/9, 2 Suppose -2*d = 2*a + 2*d - 4, -d = a - 2. Suppose a*z + 2*u = 9 - 1, u - 8 = -3*z. Factor -w**z - 4*w**2 - w + 4*w**2. -w*(w + 1) Let l(u) be the second derivative of -u**7/357 - u**6/255 + u**5/85 + 8*u. Let l(f) = 0. What
{ "pile_set_name": "DM Mathematics" }
t common factor of 14 and s. 7 Suppose 13*j - 710 = 863. Let i(m) = m**3 - m**2 - m - 4. Let x be i(3). Calculate the highest common factor of j and x. 11 Let z(o) = o**3 - 2*o + 6. Let k be z(0). Let c = k - 4. Let m be 7/(5 - 4)*c. What is the greatest common factor of m and 14? 14 Let i be (4 - 6)*(-1 - 323). What is the greatest common factor of i and 24? 24 Let j be 76 - (-23 - -19 - (-6 + 1)). What is the greatest common divisor of 105 and j? 15 Let f(h) = 6*h + 73. Let u be f(-9). Calculate the highest common factor of 1539 and u. 19 Let m(b) = 2*b + 151. Let a be m(19). Calculate the highest common divisor of 21 and a. 21 Let p be 4/(-16) - (-82)/8. Suppose 3*q - p = -2*q. Let r be (-4 + q)/((-2)/24). Calculate the highest common divisor of r and 12. 12 Let a = -22 - -32. Let q be ((-440)/24)/(2/(-12)). Calculate the greatest common divisor of q and a. 10 Suppose 5*c + 1 - 11 = 0. Suppose -46 = c*s - 210. Suppose -l = 3, -3*o + 2*l + s = o. What is the highest common factor of 19 and o? 19 Let k = 1811 - 1486. Calculate the highest common divisor of k and 26. 13 Let v = 31 + -22. Let f be 3/(v/39)*-9. Let k = f + 165. Calculate the greatest common divisor of k and 12. 12 Let u = -17 + 12. Let i(l) = -l**3 - 5*l**2 - 2*l + 5. Let f be i(u). Calculate the greatest common factor of 15 and f. 15 Suppose -6 = 2*f - f. Let v be f/(-24) + (-7)/(-4). Suppose 2*u - s - 60 = 2, v*u + 4*s = 52. What is the greatest common factor of 10 and u? 10 Let u(b) = -40*b - 875. Let v be u(-41). What is the greatest common factor of 85 and v? 85 Let i(s) = 25*s**2 + 19*s + 58. Let x be i(7). Calculate the highest common divisor of 4 and x. 4 Suppose -29 = -2*f + 195. Let d(k) = 4*k - 32. Let j be d(12). Calculate the highest common factor of j and f. 16 Suppose 2*s + 2 = 4*k, -k - 5*s = -8 - 20. Let y be ((-10)/k)/(4/(-18)). Let v be 167 + (-4)/((-2)/(-1)). Calculate the greatest common factor of y and v. 15 Suppose 21*f - 781 = 374. What is the highest common divisor of 5 and f? 5 Let h be (6060/(-360))/(10/12 + -1). Calculate the greatest common divisor of 1414 and h. 101 Let g be 975/100 - 1/(-4). What is the highest common divisor of 14 and g? 2 Suppose 4*h - 4 = 3*k, -4*k + 7*k + 14 = -h. Let m(r) = -r**3 - 4*r**2 - 5*r. Let x be m(h). Calculate the greatest common factor of x and 2. 2 Suppose -5*i = -4*t + 35, -t + i = -3 - 5. Suppose 4*p - 7 - t = -4*k, 23 = p - 3*k. Calculate the highest common factor of 16 and p. 8 Let p = -30 + 52. Suppose -5*w = -a - 13, 3*w = 5 + 4. Calculate the greatest common factor of a and p. 2 Suppose -660 = -i - i. Suppose -3*w + i = -2*t, 0*t = -2*w - t + 220. Calculate the greatest common factor of w and 44. 22 Suppose -10*q + 8*q = -12. Suppose 0 = -q*w + 7*w - 13. Calculate the greatest common factor of 117 and w. 13 Suppose -12 = -5*l + 28. Let y be 8 + -11 + -5 - (-37 + 5). Calculate the highest common divisor of l and y. 8 Let g be 2*(17/2 + -2). Suppose 2*n - 15 = d - 4, 0 = 2*d + 2. Suppose 0 = -n*o + 31 + 229. Calculate the highest common divisor of o and g. 13 Let d be (76/(-8))/(3/(-6)). What is the highest common factor of 209 and d? 19 Let w(a) = 95*a - 2195. Let d be w(25). Let o be 1 + 0 + 0 + 35. Calculate the highest common divisor of o and d. 36 Suppose -23*j + 2*j = -4620. What is the highest common divisor of j and 88? 44 Let h(u) = u**3 + 9*u**2 - 4*u - 24. Let m be h(-6). Calculate the greatest common factor of m and 96. 12 Suppose 6*k - 2*k - 54 = 2*i, -5*i - 55 = -5*k. What is the highest common divisor of 100 and k? 4 Suppose -3*u = 2*a - 262, u - 286 = -2*u + 4*a. Let g = u - 58. What is the greatest common factor of g and 16? 16 Suppose 5859 = -12*l + 52035. What is the greatest common factor of l and 104? 104 Suppose 8*u + 3 = 11. Let t = 6 + -7. Let z be (-2 - t) + 7 + -3. What is the highest common factor of z and u? 1 Suppose 2*z = -5*n + 46, -37 = -5*n - 2*z + 3*z. Let o(g) = -6 + g + 7 + 8 + 1. Let b be o(-2). What is the greatest common divisor of n and b? 8 Suppose f + 47 = -c - 15, 0 = -f + 3*c - 70. Let j = -35 - -11. Let r be (30/8)/(j/f). What is the greatest common factor of r and 110? 10 Let t = 69 + -76. Let b(o) = 2*o**2 + 6*o - 26. Let c be b(t). What is the highest common divisor of 45 and c? 15 Let b = 256 + -247. What is the highest common factor of b and 45? 9 Suppose 15*w - 10*w - 5 = 0, 5*w = h - 2. Calculate the highest common factor of h and 161. 7 Let r(c) = -c**3 + 14*c**2 - 14*c + 54. Let d be r(12). What is the highest common factor of 580 and d? 58 Let y(f) = -240*f - 9. Let k be y(3). Let i be 12/(-16) - k/12. What is the greatest common divisor of 12 and i? 12 Let a = -19 + 24. Suppose a*s = 636 + 514. Calculate the highest common factor of s and 10. 10 Let v(d) = d**3 + 6*d**2 - 3*d - 5. Let w be v(-6). Let k(j) = -2*j + 17. Let y be k(w). Let t = 19 - y. What is the highest common factor of t and 70? 14 Suppose 0 = -158*g + 153*g + 7285. What is the greatest common factor of 31 and g? 31 Let d = 35 - -37. Let z be 4 + (-1 - 0) + 362. Suppose -311 - 52 = -2*b - 3*u, -2*b - 5*u + z = 0. Calculate the greatest common factor of d and b. 36 Let r be ((-200)/6)/(4/24). Let g be (r/(-12))/(2/6). Suppose -4*t + 182 - g = 0. What is the highest common factor of t and 22? 11 Let l = 65 + 119. What is the greatest common factor of 23 and l? 23 Suppose 0 = -7*s + 227 + 95. Calculate the greatest common divisor of s and 575. 23 Suppose 4*r + 2*z - 48 = 0, 4*r = 5*z + 6 + 56. Let l = r - -2. Let f = l - -7. What is the highest common factor of f and 242? 22 Let o = 3219 + -1682. Calculate the highest common factor of 53 and o. 53 Let v(n) = -58*n - 48. Let h be v(-3). What is the highest common divisor of 168 and h? 42 Let b be (-766)/(-3) + 4 + (-104)/24. Calculate the greatest common divisor of b and 17. 17 Let t = -36 - -52. Let q(k) = k**2 + 5*k - 32. Let d be q(-16). Calculate the greatest common factor of d and t. 16 Let j(y) = -4*y**2 + 1 + 4*y + 2 + 5*y**2 - 3*y. Let t be j(5). Let n be (-2)/(3*(-10)/45). Calculate the highest common factor of n and t. 3 Let c = -163 + 273. Let f = -76 + 81. Suppose f*h + 108 = y + y, 224 = 5*y - h. What is the greatest common factor of c and y? 22 Let q(n) = 6*n. Suppose 4 - 7 = -3*i. Let j be q(i). Calculate the greatest common divisor of j and 24. 6 Let z = 1190 + -1173. Let g(q) = 3*q**2 - 2*q - 1. Let c be g(-6). Calculate the greatest common divisor of c and z. 17 Let d = -3 - -7. Let u = -11 + 20. Suppose 4*h - 135 - u = 0. Calculate the highest common factor of d and h. 4 Let y be (4/10)/(24/60). Let u be 974/14 - (y - 70/49). What is the highest common factor of 14 and u? 14 Suppose 4*b - z - 120 = 0, b + 4*z - z - 30 = 0. Let k = -6 - b. Let l be (30/(-8))/(3/k). What is the greatest common factor of 5 and l? 5 Let z(b) = -b + 1. Let a be z(-1). Suppose x + 13 = -a*i + 3, -18 = 4*i + 3*x. Let k be 14 + 4 + i/3. Calculate the highest common divisor of k and 32. 16 Suppose 0 = -2*x - 0*s + 5*s + 59, 0 = 2*s + 6. Suppose -b + 48 = -5*b. Let c be b/(-16)*-1*-88. What is the greatest common factor of c and x? 22 Suppose 5*c + 70 = 5*d, -3*d + 0*c + 42 = -4*c. Calculate the highest common divisor of 126 and d. 14 Let i be 4/(-10) + (-67)/(-5). Let u be ((-209)/(-38))/(-2 - 53/(-26)). Calculate the highest common factor of i and u. 13 Suppose -7 = -5*t + 48. Let k be (1/(-3))/(t/(-165)). What is the highest common factor of 5 and k? 5 Suppose 2*k + 3*v = 33, -2*k - 4*v = -3*v - 23. Let y be 2184/k + 0 + (-4)/6. Calculate the greatest common divisor of y and 22. 22 Let n = 358 - 248. Suppose -6*f - 8*f = -616. Calculate the highest common divisor of n and f. 22 Let p be (-9)/6*(-8)/6. Let s = 28 + p. Calculate the greatest common divisor of s and 210. 30 Let b(l) = 2 + 6*l - 9 + 0. Let o be b(4). What is the greatest common factor of 34 and o? 17 Let q be (6 - 251)*-1*12/10. What is the greatest common factor of q and 6? 6 Let v = 2558 - 1304. Calculate the greatest common divisor of v and 38. 38 Let t be ((-50)/(-30))/(5/6). Let a be 78/t + -7 + 3. What is the greatest common divisor of 14 and a? 7 Suppose 0 = -2*s + 3*r + 143, s + r - 65 = -4*r. Suppose c - 150 = s. What is the greatest common divisor of 44 and c? 44 Let m(c
{ "pile_set_name": "DM Mathematics" }
-2. Is o(a) a composite number? True Let t(l) = 13*l**2 + 6*l - 2. Is t(-5) a prime number? True Suppose 4*u - 1339 + 399 = 0. Is u composite? True Let y(i) = -i + 37. Is y(0) a prime number? True Let p = -5 + 7. Suppose -p*x + 11 = i, 0 = -5*i - 2*x - 2*x + 79. Is i a composite number? False Let r(f) = 320*f - 33. Is r(7) a prime number? True Suppose -a + 262 + 85 = 0. Is a composite? False Let a be (7 - 2)*(-48)/5. Let m = -61 + 35. Let p = m - a. Is p a composite number? True Let w(t) = 6*t**2 - 19*t - 45. Is w(-10) prime? False Let q be -1 + (106 - -1)*1. Let s = 2 + 0. Is s - 3/((-6)/q) a composite number? True Is (-4)/(-6) + 64725/45 prime? True Let n = 515 + 900. Is n composite? True Let w = -371 + 624. Is w a prime number? False Let i be (-1)/(-8)*-2*-28. Let q(o) = o**2 - 5*o - 6. Let n be q(i). Suppose 3*k + 3*m - n*m = 30, -3*k + 3*m = -36. Is k prime? False Let y(r) = 7*r**3 - 6*r**2 - 4*r - 5. Is y(8) a composite number? False Suppose 4*x - x - 167 = 5*o, 3*o - 271 = -4*x. Suppose 3*q = -4*d - 0*q - 60, -d + 2*q = 15. Let h = d + x. Is h prime? False Let s(x) = -13*x - 10. Let y = 11 + -18. Let u be s(y). Let a = -55 + u. Is a a prime number? False Let f(o) = 3*o - 4. Let u be f(3). Suppose 3*q + u*c - 1273 = c, -4*c = 8. Is q a composite number? True Let x = -164 - -543. Is x a composite number? False Let s(i) = -i**3 + 24*i**2 + 13*i + 23. Is s(20) prime? False Is 37540/80 - (-1)/(-4) composite? True Let y be 3/12 - (-1045)/(-4). Let x = -2 - y. Is x prime? False Let u = 181 + 406. Is u prime? True Let b = 2 - 1. Let a be 1*b/2*0. Is 80 - (a + -2) - 0 a composite number? True Let o = 1171 - -82. Is o a prime number? False Suppose -3*w = -333 - 0. Suppose w = 2*c - 59. Is c prime? False Let p be (-2 - (-22)/(-1)) + -2. Is (-160)/p + (-2)/13 a prime number? False Let y = -11628 + 18431. Is y a prime number? True Is (-14)/(-77) - (-24231)/11 a prime number? True Suppose 31 + 849 = 5*f. Let a = f - 65. Is a prime? False Let j = -207 + 335. Suppose b + 3*r = j, r = -8 + 3. Is b a prime number? False Let m = -16 + 36. Let o = 52 - m. Suppose 2*k = o + 66. Is k prime? False Let a(u) be the third derivative of -u**5/60 + 7*u**4/24 + u**3/2 - 2*u**2. Let k be a(6). Is -3 + k - 0/1 a composite number? True Let p = 3 + 0. Suppose -u - p = -10. Is u prime? True Suppose o = 4 - 6. Is ((-94)/3)/(o/3) a prime number? True Let m(h) = 100*h**2 - 13*h - 6. Is m(5) a composite number? True Suppose y + 395 = 3*a, a + y = -0*y + 125. Suppose -a = -3*c + c. Is c prime? False Suppose 0 = 10*b - 356 - 414. Is b prime? False Suppose 0 = 3*c + 6 - 0. Let b(d) = -d + 4. Let a be b(5). Is (1/c)/(a/254) a prime number? True Let z(t) = 609*t**3 - 5*t**2 + 7*t - 5. Is z(2) a prime number? True Suppose 4*j - 5 = 19. Let m(n) = -9*n**3 - 25*n**2 + 4*n + 15. Let x(p) = -5*p**3 - 13*p**2 + 2*p + 8. Let b(d) = -6*m(d) + 11*x(d). Is b(j) prime? False Let z be (-1)/((-4)/(-40)*-2). Suppose -319 = -z*w + 471. Is w composite? True Suppose 68 + 352 = -3*s. Let w = s + 255. Suppose -x + 2*x - w = 0. Is x a composite number? True Let f = 935 + -489. Suppose w = -w + f. Is w a prime number? True Let a be 65 + -3 - (1 - -1). Let c be (3 - a)/(-3) - 2. Suppose 0 = 2*j - 0*j + 4*f + 14, -f = -4*j + c. Is j composite? False Suppose -7*g + 45 = -2*g. Let d(w) = w**2 - 3*w + 13. Is d(g) composite? False Let p(m) = -3*m**3 + 4*m**3 - m - 4*m**2 - 2*m - 6. Let o be p(5). Suppose 3*q + 165 = 3*a + 4*q, 220 = o*a - q. Is a prime? False Suppose -3*b - 4 = 5*a - 54, -2*b - a + 31 = 0. Suppose -5*k + 140 = b. Is k a prime number? False Let s(r) = r**3 + 7*r**2 - 4*r - 9. Let h(j) = -j - 1. Let i(w) = 4*h(w) - s(w). Let p be i(-7). Let t(q) = -q**3 + 7*q**2 - 7*q + 6. Is t(p) composite? True Let o = 82 + -48. Let s = o - 19. Is s a prime number? False Let d(j) = 3*j + 1. Is d(6) a composite number? False Suppose 5*d = 23 + 52. Let k be ((-8)/20)/((-1)/d). Let u(q) = q**3 - 3*q**2 - 8*q + 7. Is u(k) prime? True Let x(f) = -2*f**3 - f**2 - 3*f - 4. Let w(k) = k**2 + k + 1. Let p(d) = -5*w(d) - x(d). Let i = -5 - -9. Is p(i) composite? True Let q(x) = -x - 16. Let o be q(-7). Let m be 2/4*-8 - -4. Is 16 + o + (m - -2) composite? True Suppose 3 = -d + 2*d - 3*q, 2*d + 14 = -4*q. Let j = d + 10. Let p(y) = -y**2 + 10*y - 8. Is p(j) a composite number? False Let y = -8 - -10. Suppose -65 = -3*q + r, 2*q - y*r + r - 42 = 0. Is q prime? True Let x = 119 + -57. Suppose -5*r - x = -a, 0 = 4*a + 2*r - 323 + 9. Is a composite? True Is 1 - 3 - (4 - 5)*339 prime? True Let t(a) = 4*a**2 + 2*a + 1. Let j be t(-1). Suppose c + 25 = 6*c, -d - j = -c. Suppose 0 = -d*m - 3*p + 38, -m + 12 + 7 = p. Is m a composite number? False Let o = 217 + -94. Is o a composite number? True Let f(p) = p + 7. Let o be f(-8). Let q = 0 - 2. Is o - (q - -2) - -58 a composite number? True Suppose 0*l = -4*q + 2*l + 50, -q + 11 = l. Suppose q = a + 3*a. Suppose 0 = -a*g + 233 + 4. Is g a prime number? True Let l(r) = r**3 - 4*r + 1. Let i be l(6). Suppose 5*p = 3*a - 240, 0 = 7*a - 2*a + 5*p - 360. Suppose 2*o + i = 3*f, -2*f + f - 2*o + a = 0. Is f composite? False Suppose -2*n - 4*h = -20, -4*n + 15 = -n + h. Suppose n*o - 632 = j, -4*o - o + 779 = -4*j. Is o a prime number? False Suppose 3*x = 6*x - 1737. Is x composite? True Let w = 1926 - 1369. Is w a composite number? False Suppose 4*x + 5*s = 3, 0 = -4*x + s - 7 + 40. Let j(m) = 3*m - 1. Let l(w) = 2*w - 1. Let i(g) = 5*j(g) - 6*l(g). Is i(x) prime? False Let o(z) be the second derivative of z**4/6 - 2*z**3/3 + 7*z**2/2 - 5*z. Is o(6) prime? False Suppose 4*y = 12, 2*f + 3*y - 4*y = 175. Is f prime? True Suppose 0 = -8*n + 1193 + 2159. Is n a prime number? True Let u = -1462 - -2135. Is u composite? False Is (11/(-3))/(25/(-1425)) a composite number? True Is 3/(-9)*(2 + -1888 - 1) a prime number? False Let p(k) = -3*k**2 + 5*k + 23. Let z(q) = -2*q**2 + 3*q + 11. Let s(t) = 3*p(t) - 5*z(t). Is s(0) a prime number? False Let g = -4 + 4. Let p be 0/(-1 - (-2 - g)). Suppose p = -2*k + 22. Is k a prime number? True Is (-18870)/(-45)*(-3)/(-2) a prime number? False Is -1 + 90 + 2/1 a composite number? True Suppose 2*b - 94 - 249 = -r, -3*b = 2*r - 688. Is r a composite number? False Suppose -4*o + o = -3*z - 3, 0 = o + 5*z + 5. Suppose o*c + 154 = 2*c. Is c a prime number? False Suppose -4 = 2*t + k, -6*t = -2*t - 2*k - 8. Suppose 0 = 2*z + 3*i - 121, 2*i - 238 = -4*z - t*i. Is z composite? False Let b(l) = l**3 - l**2 - 4*l - 1. Let p be b(3). Suppose 2*y = p*y - 153. Is y composite? True Is 97*26*(21/(-6))/(-7) a prime number? False Suppose -2*i = 6 + 2. Let b = i - -10. Is 2 - (-33 + b/(-3)) composite? False Suppose -842 = -3*i - 287. Is i a prime number? False Let h be (-3 + -2)*(-66)/(-2). Let r = h + 328. Is r composite? False Let k = 639 - 425. Is k prime? False Suppose z - 10 = -4*z. Let c be z/(-8) - 445/(-4). Suppose -4*y = 23 - c. Is y prime? False Let u(g) = 2*g**3 + 6*g**2 + 3*g - 2*g + 3 - 3*g**3. Let w(n) = n. Let i be w(5). Is u(i) a composite number? True Suppose -2*s = -3*f - 3*s + 8, 0 = -3*s - 12. Suppose v = f*v - 111. Is v composite? False Let c = -1136 + 3789. Is c a prime number? False Let l(t) = -t**3 - 11*t**2 - 1. Is l(-13) a composite number? False Let j = 889 + 97. Let h = j + -589. Is h a composite number? False Let z(a) = -13*a**3 - 3*a**2 + 5*a - 1. Is z(-4) a prime number? False Let f(i) = 1 - 76*i**3 + 3*i**2 - 3*i**2. Let z be 4/14 + (-9)/7. Is f(z) prime? False Let f be 169/52 - 3/(-4). Suppose 0 = g, -2*g - 1172 = f*x - 8*x. Is x composite? False Is (477/(-2) + -1)/((-1)/2) a composite number? False Suppose 3*x - 2*y = 3607, 0*x + 3*x - 3599 = -2*y. Is x a composite number? False Let i = 585 + 167. Is (1/(-2))/((-8)/i) a composite number? False Let f(g) = 2*g + 12. Let w be f(-5). Let a be (-12)/(-7) + 4/14. Suppose 2*h - h + w*s - 2 = 0, -a*h = s - 16. Is h a composite number? True Suppose 4*a + 0*a = -100. Let j = 44 + a. Is j a composite number? False Let z(v) = v - 6. Let x be z(8). Suppose -206 + 49 = -m + 2*f, x*f - 439 = -3*m. Is m prime? True Let v = -11 - -11. Suppose 0 = -2*b + t + 379, -t + 5*t - 12 = v. Is b a composite number? False Suppose 3*n - 218 = 751. Is n a prime number? False Suppose -p - 28 = -2*i + 2*p, 0 = 2
{ "pile_set_name": "DM Mathematics" }
- 3*k - k**3 + k**3 - 6*k**4 + (4*k**4 - 19*k**4 + 0*k**4)*(3 + 0 - 1) as r*k**4 + o*k**2 + v + b*k + x*k**3 and give r. -38 Rearrange -7*a**2 - 14*a**2 - 1 - 2*a - 7*a**2 - 3*a**3 + 6*a**3 to the form v*a + c + t*a**3 + s*a**2 and give s. -28 Rearrange 4*w + 11*w + 8*w + 1 + 1 - w**2 - 25*w to g*w**2 + x + t*w and give x. 2 Rearrange 42*c**2 + 798*c**2 + 189*c**2 to the form h + a*c**2 + d*c and give a. 1029 Rearrange (-27 + 31 - 138)*((-2 + 3 + 0)*(-2*k + k + 0*k) + 0 + 2*k + 0) to the form v + m*k and give m. -134 Express 4 - 4*t**2 + 0 - 2*t**3 - t**4 - 7 - 3*t**4 + 2*t**4 in the form f*t + i*t**2 + p + q*t**3 + s*t**4 and give s. -2 Express -237 - 2*t + 133 + 130 in the form c + d*t and give c. 26 Rearrange 0*x**3 - 237673 - x + 237670 - 2*x**4 + 0*x**3 - 5*x to the form r*x + q*x**4 + s*x**2 + y*x**3 + u and give r. -6 Rearrange (1 - 4 - 6)*(0 + 3 + 11*r - 2) to m + h*r and give h. -99 Express -542*d + 1992*d + 1866*d - 686*d + 511*d + (3*d - 3*d - d)*(4 - 1 - 4) as x + g*d and give x. 0 Rearrange ((1 - 3 + 1)*(-j + j - 2*j) - 109*j - 92*j + 225*j)*(-2 + 6 - 1) to i*j + d and give i. 78 Rearrange (7 - 3 + 0 - 2*l)*(1 - 5 + 5)*(6 - 3 - 2)*(-1 + 0 + 4)*(3 - 4 + 0) to q + p*l and give p. 6 Rearrange 53*c + 56*c - 1 - 90*c to the form m*c + b and give m. 19 Express ((2*g - 17*g + 3*g)*(-4 - 2 + 4) + 1 - 1 + g)*(-4*g + 4*g - 2*g + (0 - 1 + 2)*(-2 + 2 - 2*g)) in the form c*g + f*g**2 + q and give f. -100 Rearrange 42*m + 142*m**2 - 143*m**2 + 2*m**4 - 44*m - 117*m**3 - 2 to the form r*m + f*m**3 + h + g*m**4 + d*m**2 and give r. -2 Express (-8*k + 407 - 407)*(0*k**3 + 2*k**3 + k**3) + 3*k**4 - k + 2*k - 5*k**4 in the form i*k + q*k**4 + h + b*k**3 + x*k**2 and give i. 1 Rearrange (-x - 2*x + x)*(-2 + 4 - 3) + 0 + 0 + x - 2*x - x + 2*x + 5*x - 4*x + 2*x + 34*x + 40 - 28*x + 48 - 32 to the form z + g*x and give z. 56 Rearrange 6 + 22 - 30 + 53*k**3 to the form q*k**3 + v*k + f*k**2 + y and give q. 53 Express -92 + 18*a + 6*a - 78 - 66 + 207 as q + c*a and give c. 24 Express (l + l + l)*(38*l + 108*l - 43*l)*(0 + 1 - 2) as v*l**2 + u + c*l and give v. -309 Rearrange (-u + 1 + 0*u + 7*u)*(-33*u - 75 - 80 + 153) to l + g*u + m*u**2 and give m. -198 Express 5*y**2 - 186*y**2 - 13114*y + 13114*y as z + o*y**2 + l*y and give o. -181 Rearrange a**3 - 4*a**2 + a**4 + 4377 - 4*a**2 - 2*a**3 - 4379 - 2*a to the form u*a**2 + s*a**4 + x*a**3 + k + i*a and give x. -1 Rearrange 11*p**3 - 6*p**3 + 13 - p**3 - 7*p**3 to the form o*p**3 + y*p**2 + v*p + u and give o. -3 Express (-52 + 4 + 8)*(-2 + 1 + 0)*(-1 + 1 + d)*(1 + 4 - 3)*(-4 + 2 - 5) in the form i*d + q and give i. -560 Express (-3 + 0 + 4)*(-a + 3 - 3)*(0 + 0 - a + (-2 + 0 + 4)*(4*a - 4*a - a)) as x*a**2 + q*a + u and give x. 3 Express 92*c**2 + 95*c**2 - 279*c**2 + 95*c**2 + 165*c in the form i + d*c**2 + z*c and give d. 3 Rearrange (-3*i + 6*i - i)*(-283 + 47 + 32) to w + d*i and give d. -408 Express 5*f**4 - 391*f**2 + 4 + 391*f**2 + 13*f + 2 as k*f**4 + c*f**3 + i + t*f**2 + d*f and give d. 13 Rearrange (-5 + 5 + 12)*((-3 + 5 - 1)*(-2*d + 2*d - 2*d) - 6*d - 106 + 106) to c + f*d and give f. -96 Express 6 + 6*l - 6 + (l - 3*l - 9*l)*(10 - 3 + 2) as j*l + u and give j. -93 Express -23*f**2 - 6*f + 58 + 77 + f + f - 138 as r*f**2 + a + d*f and give r. -23 Express (2 + 1 - 1)*(2*l - l + l) - 4 + 4 - 2*l + 1806 + 305*l - 1808 + 203*l in the form d*l + u and give u. -2 Rearrange -50*i**2 + 251*i**2 + 264*i**2 + (-3 - i + 3)*(-2*i + 0*i + 3*i) to l*i**2 + j + t*i and give l. 464 Rearrange (-1 - 1 + 5)*(-5*f**3 + 2*f**4 + 13*f**3 + 766*f**2 - 765*f**2 - 2*f) to the form b*f**3 + m*f**4 + z + o*f**2 + r*f and give r. -6 Express -36 + 22 + 2*c**2 + 0*c**2 - 4*c**3 + 2*c**3 in the form b*c + x*c**2 + u + j*c**3 and give u. -14 Rearrange -3072*q**2 - 2797*q**2 + 480*q**2 - 1689*q**2 - 360*q**2 + 2*q**2 - 4*q**2 + q**2 + (2 - 5 + 2)*(-2*q + 2*q + q**2) to o + s*q + p*q**2 and give s. 0 Express (1 - 1 - 3)*(-1 - 5 + 2)*(-4 + 93*w + 4)*(-1 + 3 - 3) in the form k + f*w and give f. -1116 Express 409*r**2 - 6*r - 838*r**2 + 2*r + 4*r as y + a*r + t*r**2 and give t. -429 Express -5280 - 3*x**2 + 5280 + 17*x as w*x**2 + c + m*x and give w. -3 Rearrange -236 + 13*v**2 + 46 + 372 - 15*v**2 + 408 to the form s*v**2 + w + h*v and give s. -2 Express -1051*f - 2*f**2 - 465*f + 259*f in the form k + o*f + y*f**2 and give o. -1257 Rearrange 46*r**4 - 2*r**3 + 1 + 43*r**4 + 19*r - 92*r**4 + r**3 to the form u*r**3 + z + i*r + w*r**4 + k*r**2 and give z. 1 Express 4*t**3 + 15*t - 5*t**3 - 39*t - 3 + 22*t + t**4 in the form l + p*t**3 + h*t**4 + a*t + x*t**2 and give l. -3 Express 5506*n**3 - 11016*n**3 + 5502*n**3 - 17 in the form j*n + z*n**3 + t + g*n**2 and give t. -17 Rearrange -165 + 120 - 1363*t + 45 to y*t + p and give y. -1363 Express (18 - 183 - 150 + 7)*(0*w**2 - 5*w**2 - 6*w**2) as t*w + y + i*w**2 and give i. 3388 Rearrange (-386*m - 30*m**2 + 386*m)*(-9*m + m + 14*m - 2*m + 3*m - 2*m + (-m - 4*m + 4*m)*(1 - 4 + 5) - 3 + 2*m + 3) to s + a*m**2 + g*m**3 + d*m and give g. -150 Rearrange (-15 + 4 - 4)*(2 + 2*u - 2) - 5*u + 3*u + 5*u - 2 + 2*u + 2 to p*u + q and give p. -25 Rearrange -5*o**3 + 4009*o**2 + 7 - 4009*o**2 + 3*o to the form x*o + g + l*o**2 + m*o**3 and give x. 3 Express -3621*s**2 + 3628*s**2 - 52 + 133 in the form p + x*s**2 + g*s and give x. 7 Express 3*n - 3*n + 2*n + (1 - 1 + n)*(6 - 3 - 1) + n - n - n + 696 + 79*n - 696 in the form z*n + k and give z. 82 Rearrange 2*v**3 - v + 13*v**2 + 11*v**2 + 30*v**2 + 6*v**2 - 15*v**2 to the form k + m*v + g*v**2 + z*v**3 and give z. 2 Rearrange (-10 + 6 - 15)*(3 - 3 + 1)*(5 - 1 - 6)*(10*w + w + 3*w) to u*w + s and give u. 532 Express z + 3*z - 2*z + (0*z - 2*z + 0*z)*(0 + 3 - 1) + 121*z + 56*z - z + z - 4*z + z + (-2 + 4 + 0)*(4*z - 7*z + 2*z) as h*z + x and give h. 170 Rearrange 55*v**2 - 55*v**2 - 16*v**3 + (-4*v - 2*v + 4*v)*(2*v**2 + 1 - 1) - 2*v**3 - 2*v**3 - 5*v**3 to the form g*v + p*v**2 + f*v**3 + z and give f. -29 Express 806*y - 140*y - 329*y + (3 - 1 - 1)*(y + y + 0*y) + (-y + 3*y + 0*y)*(-4 + 0 + 1) in the form q + o*y and give o. 333 Express -19*t**2 + 25*t**2 + 45*t**2 + (0*t**2 - 2*t**2 + t**2)*(-2 - 1 + 4) in the form l*t + x*t**2 + j and give x. 50 Rearrange (174 + 28 + 66)*(-k + 0*k + 4*k) to u + j*k and give j. 804 Express r**4 - 968*r**2 + 6 + 968*r**2 - 2*r**3 as v*r**2 + c*r**4 + u*r**3 + z + s*r and give c. 1 Express -46*l**3 - 70*l**3 - 2 - 28*l**3 - 8*l**3 - 6*l**3 in the form k*l**2 + f + g*l + q*l**3 and give q. -158 Rearrange -10 - 1 + 7*m**2 + 13 - 4*m**3 to j*m**3 + l + s*m + f*m**2 and give j. -4 Rearrange -47*n - 4*n**2 + 6*n**2 - 50*n + 23*n - 2 to the form t + x*n + u*n**2 and give x. -74 Rearrange 237 - 21*c - 33*c + 55*c to o*c + j and give o. 1 Rearrange (3*w**2 - 3*w**2 - 3*w**2)*(-1 - 2 + 4)*(2*w + 0 + 0) - 191*w + 39*w**3 + 191*w to the form l*w + b*w**2 + a*w**3 + r and give l. 0 Rearrange (0*l - l - 6*l)*(12 - 23 + 18 - 2 + 7 - 3 + (0 - 1 - 1)*(-6 + 3 + 4) + 0 + 3 - 1 + 1 + 2 - 1) to the form n*l + u and give n. -77 Rearrange 119*x + 14 + 6*x - 20 + 86*x - 47*x to the form h + k*x and give k. 164 Rearrange -7 + 57*r**3 - 4614*r - 9*r**3 + 4614*r to the form s + f*r**3 + c*r + j*r**2 and give f. 48 Express -31*d**2 + 41*d**2 - 1 - d - 48*d**2 as n*d**2 + x*d + r and give x. -1 Rearrange 18 - 5 + 152*f - 5 - 3 - 7 to the form g*f + d and give d. -2 Rearrange (2*x - 3*x + 3*x)*((-3 + 5 - 4)*(0*x + x**2 + 0*x) - 1994 - 26*x**2 + 1994) to the form k*x + v*x**3 + s + n*x**2 and give v. -56 Rearrange (155*h**2 + 176*h**2 + 135*h**2)*(h - 2*h + 3*h) - 2*h**3 - 1 + 1 to the form p*h**3 + b*h**2 + m + t*h and give p. 930 Rearrange 0 - 8*w**3 - 181*w + 9 + 182*w + 8 - 5*w**3 to p*w**2 + a*w + h*w**3 + t and give t. 17 Express 114*w + 47*w**4 + 5*w**2 - 3*w**3 - 227*w + 111*w + 4*w**3 as g*w**2 + f*w + x*w**4 + m*w**3 + i and give x. 47 Express (z**2 - 2*z**2 + 0*z**2)*(411*z - 747*z + 751*z) in the form i*z**3 + p*z + u + s*z**2 and give i. -415 Rearrange -5*y**4 - 5*y**3 + 6*y**3 + 6*y + 18 - 16 to z*y**3 + x*y**2 + r*y**4 + n*y + a and give n. 6 Express 5*j**2 - 68 - 75 + 143 in the form w + b*j**2 + d*j and give d. 0 Express (-2*v**2 + 2*v**2 - 2*v**3)*(-45*v - 202 + 202)*(10 - 2 + 4) as c*v**4 + p*v**3 + l + g*v**2 + o*v
{ "pile_set_name": "DM Mathematics" }
-3.9? (a) 0.5 (b) 72 (c) -2/3865 (d) -5 (e) -0.4 d What is the nearest to 1 in 1, -0.0512, 1/7, -1/7? 1 Which is the nearest to -1774/9? (a) -1.8 (b) 3 (c) -1/3 a Which is the nearest to 0.948? (a) 4 (b) -9 (c) 0.28 c What is the closest to -21 in 0.05, -0.828, -2, -9? -9 What is the nearest to 8221 in 424, -0.1, 0.1, 3? 424 Which is the nearest to -742? (a) -2 (b) -0.5 (c) 1 (d) 472/5 a Which is the nearest to -18? (a) 4/45757 (b) -2 (c) 0.06 b What is the nearest to -0.4 in -0.27, -2/5, -0.075? -2/5 Which is the closest to 35? (a) -0.2 (b) -6/29 (c) -5/2 a Which is the closest to 0? (a) -2 (b) 19 (c) 0 (d) 26009 (e) -2/13 c What is the nearest to -11 in 2/39, 4, -0.2, -12909? -0.2 What is the nearest to -2 in -0.4, 1.90338, 4? -0.4 What is the closest to -1 in -1/3, -3, -7, -5, -13265? -1/3 What is the nearest to 1946 in -1, -3, 20, 2, -0.4, 3/4? 20 What is the closest to -3 in 4198986, -1/7, -4? -4 What is the nearest to -45.6 in 1, 119, -11/6, 5, -5? -5 What is the nearest to -2 in 0.1, -40, 544, 0.5? 0.1 What is the closest to 5/6 in -4.738, -0.061, 0.1, -0.1? 0.1 What is the nearest to -49 in -1/9, -0.15, 2.8, -3, 1, -0.2? -3 What is the nearest to -142 in -1/128, 8/5, -2/7, 5, 1/7? -2/7 Which is the closest to -18? (a) 6 (b) -2 (c) 17 (d) 4/17 b Which is the nearest to -4? (a) -10 (b) -0.05 (c) 1101 b Which is the nearest to 0? (a) 0.2 (b) -41.4 (c) 6/11 (d) -128 (e) -0.3 a Which is the closest to -112? (a) -0.004 (b) 129 (c) 0 (d) -2/19 (e) 0.5 d Which is the nearest to 36? (a) 4 (b) -801557 (c) 0.2 a Which is the closest to -2606? (a) 5 (b) 2 (c) 1/4 (d) -11 (e) 7 (f) -2 d What is the closest to -1/3 in 0.3, 2/8373, -3, -0.054, 3? -0.054 What is the nearest to -713/4 in 1/5, 5, 2/3, 7, -3? -3 What is the nearest to 0.1 in -5, 2, 4/13, 522, -10, -0.1? -0.1 What is the closest to 2538 in 0.4, 2/7, 0, -1, 4/25? 0.4 What is the nearest to 0 in 1/3, -97452, 3, 0.2, 21? 0.2 Which is the nearest to 0.2? (a) -45320.1 (b) 1/6 (c) 4 b What is the closest to 1 in -18, -424, -14? -14 Which is the closest to -104982877? (a) -5 (b) 3/7 (c) -0.2 (d) 0 a What is the nearest to -9 in -2/5, 0.11, -1162989? -2/5 Which is the closest to 2/303? (a) 12 (b) -0.5 (c) 1 (d) 291 b Which is the nearest to 188? (a) 3 (b) -29 (c) 34 (d) 0.05 c Which is the nearest to -1? (a) -421 (b) 0.5 (c) 1/4 (d) -1 (e) -12 (f) -4/3 d What is the closest to 2/3 in -0.2, -65/7, -1199, -5? -0.2 What is the nearest to 2/3 in 1/19, -5.448, -1/2, -4, 4, 0.08? 0.08 Which is the nearest to 2/107? (a) 2/9 (b) -1 (c) -158/3 a What is the closest to 0.012 in 0.027, 1, -3, 2/3, -9? 0.027 Which is the nearest to 1/2? (a) 2 (b) -6 (c) 4 (d) -2/27 (e) 5/22 (f) -4 e Which is the nearest to 0.04? (a) -424 (b) 0 (c) 73.9 b What is the nearest to -92 in -184, 2/687, 0.5? -184 What is the closest to 2 in -1, -89/5, -54? -1 Which is the nearest to 2? (a) -3 (b) -283626 (c) 0.06 c What is the nearest to -1 in 2/7, -29, 3029/5, 1/14? 1/14 What is the nearest to -9 in -0.05, -0.02, 1, -21.4, 0, -34? -0.05 Which is the closest to -1/6? (a) 28 (b) 10893 (c) -2 (d) 2/9 d What is the nearest to 209 in 5.7, 0.067, 2/9? 5.7 What is the nearest to -26 in 1, -8/5245, -1/5? -1/5 What is the nearest to -19 in -4, -2/7, -0.4, 10, 30? -4 Which is the nearest to 57? (a) 0.2 (b) -0.02 (c) 718 a What is the nearest to 3 in 57906, 4/5, -0.05? 4/5 Which is the nearest to 1? (a) -8/5 (b) 0 (c) 9.1 (d) -20/33 (e) 4 b Which is the nearest to 1677? (a) -5 (b) 3 (c) 29 (d) 10 c Which is the closest to 2? (a) 4 (b) -672 (c) -2 (d) 0.151 (e) -1.3 d What is the nearest to 6 in -4, -1, 88767, -9? -1 What is the closest to -10 in 2613, -0.4, 10? -0.4 Which is the nearest to 1? (a) -181/5 (b) 0.167 (c) -7 b Which is the closest to 0.2? (a) -0.4 (b) 3 (c) -72609772 (d) 1/3 d What is the nearest to -75/7 in -6/11, 3, -7/38? -6/11 What is the nearest to -0.2 in -3, -2/11, 2/15, -229, 5, 12? -2/11 What is the nearest to -2 in 6, 1/3, 0.5, -15072, -5? 1/3 What is the closest to 2/177 in 559, -1/10, 1/3? -1/10 What is the nearest to 4/3 in 0.2, -0.4, -1/261991? 0.2 Which is the closest to -13.31? (a) -5.1 (b) -3 (c) 1 a Which is the nearest to 0.2? (a) -0.5 (b) -2 (c) 4/7 (d) 1 (e) 56/23 (f) -7 c What is the nearest to 6 in 4/7, -1/5, -6.36? 4/7 What is the closest to -1 in 3, 2/7, -0.1, 0.07, 0.0342? -0.1 Which is the nearest to 172/15? (a) 3 (b) 0.3 (c) -6/5 (d) 0.6 (e) -1 a Which is the closest to -3.07? (a) 2 (b) -2/11 (c) 3 (d) -9/7 (e) 0 d What is the nearest to -1/2 in 8088, -3/5, -71? -3/5 What is the nearest to -11 in 1/4, 2, -31, 0.7, 8/9? 1/4 What is the closest to 2/7 in -0.086, 54/1267, 2? 54/1267 Which is the nearest to 921? (a) -5213 (b) -0.2 (c) 2 c Which is the closest to -5/3? (a) -0.1 (b) 41238/233 (c) -0.2 c Which is the closest to -1/14? (a) 320 (b) 0.4 (c) -1/4 (d) -2 (e) 0.639 c Which is the closest to 10? (a) -9/14 (b) 1 (c) -1.91 b Which is the closest to 1? (a) -2/9 (b) 22 (c) -1 (d) -73 (e) -5 a What is the closest to 19 in 1, -5, -2988, -4, 3/17? 1 What is the nearest to 0 in 502, 14/3881, -0.1? 14/3881 What is the nearest to 0.03 in -4, 2, 180/7, -31, 61, 1? 1 Which is the closest to -1? (a) -2/15 (b) 184 (c) -5 (d) 15 (e) 0 (f) 17 a What is the closest to -0.3 in 2, -27, -212, -3, 4? 2 What is the nearest to 0.6 in 2/13, 190419, -0.4, 0, -1/4, -3? 2/13 Which is the closest to -1? (a) -1 (b) 0 (c) -10 (d) 2 (e) 6082 (f) -5 a Which is the nearest to -7/4? (a) 140 (b) 4 (c) -1 (d) -51/97 c Which is the nearest to 3? (a) -0.1 (b) 11/2 (c) 18 (d) -4 (e) 15 b Which is the closest to 0? (a) 0.5 (b) -10/6943 (c) -5 (d) -27 b What is the nearest to 0 in -0.1, -1/3, 5, 920519, 3, -9? -0.1 Which is the nearest to -0.257? (a) -3 (b) 173/6 (c) 3 (d) 8 (e) 0.2 e Which is the closest to 1? (a) -0.4 (b) 119538 (c) 0.5 (d) -17/2 c What is the nearest to 0.14 in 5/6, -5, 2/8971? 2/8971 Which is the nearest to -0.1? (a) 0.08 (b) -23025 (c) 4 a Which is the closest to 17? (a) -3 (b) 29 (c) 1027 b Which is the closest to -1272/5? (a) 0.1 (b) 6 (c) -78 (d) -0.3 c What is the nearest to -0.7 in -0.5, 4, 1916, -1/4, -37? -0.5 What is the nearest to 1/4 in 1, -2, -4972.533? 1 Which is the closest to -3/5? (a) 2/11 (b) -0.1 (c) -0.27 (d) -0.5 (e) -1/4 (f) -2619 d What is the closest to 1.1 in 20.8, -2/25, -1, 0.07? 0.07 Which is the closest to -5440? (a) 1/3 (b) -1/4 (c) -0.09 (d) 0.23 b What is the nearest to -54 in 3/2, -56, -0.1, 36, 1/2? -56 What is the closest to -0.2 in -1/3, 2.19, 3/2, 0.04378? -1/3 Which is the nearest to 0.1? (a) 32/135 (b) -0.4 (c) -18855 a Which is the nearest to 2? (a) -1 (b) -2/13 (c) -4 (d) 2.2 (e) 41 (f) 37/4 d What is the nearest to -0.3 in 1.1, -48, 0.4? 0.4 Which is the nearest to -3? (a) -6/35 (b) 78 (c) 6/7 (d) -0.2 (e) -7 d Which is the closest to 459? (a) -0.3 (b) -4.7 (c) 4/7 (d) 3 d What is the nearest to 5/38 in 3/29, 2/139, -2? 3/29 Which is the closest to 2040? (a) -0.003 (b) -0.02 (c) -21 (d) 4/9 d Which is the nearest to 80? (a) 0.4 (b) -1174 (c) -1/2 (d) 0.01 a What is the nearest to 3 in 7073.2, -102, -2, 0.2? 0.2 Which is the closest to 11/3? (a) 3/10 (b) 0.01 (c) -0.1 (d) 1/5 (e) -0.04 a What is the closest to -2/45 in 0.1, 404/85, -7, -3? 0.1 What is the closest to 47 in -1/16, -0.1, 2/13, 0.1? 2/13 Which is the nearest to -3? (a) -2 (b) 3 (c) 0.3 (d) -9/10 (e) 0.1 a Which is the nearest to 1? (a) 3/4 (b) -0.9 (c) -10 (d) -187 a What is the closest to -0.1 in -2/551, 5, 0.28, -7, 0? -2/551 What is the closest to -0.1 in -1657, -16, -2, 7? -2 What is the closest to 0 in -2, -245, -5, 3, 1.3? 1.3 What is the closest to 0 in 1/3, -1, 31, -7, -13/2, -170? 1/3 Which is the nearest to 65? (a) -3/8 (b) 3/4 (c) -1 (d) -1/5 (e) -2/25 (f) -1776 b Which is the closest to -0.7? (a) -1/2 (b) -3.9 (c) -5 (d) 9 (e) 0.5 (f) 60 a What is the nearest to -0.1 in 4/1833, -0.31, 10.2, 4? 4/1833 Which is the closest to -3.7? (a) -0.263 (b) 6 (c) 3 (d) -4 (e) -0.09 (f) 1 d Which is the nearest to 2/3? (a) 0.3 (b) -6.7 (c) -234/49 (
{ "pile_set_name": "DM Mathematics" }
tive of -2*d**2*f + 350829*d**2*v + d*f*v + 190*d*f + 764*d*v - 2*v wrt d. -4*f + 701658*v Find the second derivative of 1213488*b**3 - 262271*b wrt b. 7280928*b What is the third derivative of 78*f**6 - 5*f**4*r + 47*f**4 + 4*f**2*r - 38*r - 381 wrt f? 9360*f**3 - 120*f*r + 1128*f Find the second derivative of 37803*d**5 + 42*d - 42 wrt d. 756060*d**3 What is the derivative of 554*g*j**2 - g*j*k**2 - 93*g - 2*j**2*k**2 + 3712*j**2*k + j**2 - j*k + k wrt g? 554*j**2 - j*k**2 - 93 Find the first derivative of -134236*z + 108295 wrt z. -134236 Differentiate 42910*l*n - 178*n - 8 with respect to l. 42910*n Find the third derivative of 3082335*h**5 + 31*h**2 - 15*h - 491 wrt h. 184940100*h**2 Find the second derivative of 17*a**3*x**2 + 5*a**3*x - 9*a**3 + 2*a + 2947*x**2 wrt a. 102*a*x**2 + 30*a*x - 54*a Find the second derivative of -115*i**2*j*w**2 - 640*i**2*j*w + 6*i**2*w - 271*i*j*w**2 - 2*i*j*w - 3*i*j - 2*w**3 - 2 wrt w. -230*i**2*j - 542*i*j - 12*w What is the first derivative of 16184*l + 30071? 16184 Find the third derivative of 3*z**5 + 2527*z**4 - 28*z**3 - 983987*z**2. 180*z**2 + 60648*z - 168 What is the second derivative of -5*f**2*v**2 - 156*f**2*v + 24*f**2 - 1721*v**3 wrt v? -10*f**2 - 10326*v Differentiate -108*s*z + 27264*s - 1466*z - 2 wrt z. -108*s - 1466 Find the second derivative of 1063*c**3*k**2 - 2*c**3 - c**2*k**2 + 1069*c**2*k - 3*c*k wrt k. 2126*c**3 - 2*c**2 Find the third derivative of -9*k**3*z - 383*k**3 - 3*k**2 + 2*k*z - 7*k - 66 wrt k. -54*z - 2298 Find the second derivative of 255266*f*p*w**4 - 1686*f*p*w + 2*f*w + 3*p*w**5 - 86*p*w wrt w. 3063192*f*p*w**2 + 60*p*w**3 Differentiate 28*a*s**2*y + 2*a*s*y + 320*a*s + a*y + 3012*s**2*y - s + 51*y wrt a. 28*s**2*y + 2*s*y + 320*s + y Find the first derivative of -82735*p + 777790 wrt p. -82735 What is the first derivative of -1238718*d**2 - 2756312? -2477436*d What is the derivative of -64*b**2*z - 114773*b**2 + 1097*z wrt z? -64*b**2 + 1097 Find the first derivative of 45805*t + 204191. 45805 What is the derivative of y**3 - 15167*y - 1228? 3*y**2 - 15167 What is the third derivative of -2*v**5 - v**4 - 836783*v**3 + 3682331*v**2 wrt v? -120*v**2 - 24*v - 5020698 What is the second derivative of 2*v**5 + 1636922*v**3 + 3303713*v - 1? 40*v**3 + 9821532*v What is the second derivative of -137*c**3 + 8636*c**2 - 3659366*c wrt c? -822*c + 17272 What is the second derivative of 2244485*b**2*x + 555*b*x + b - 3*x + 3 wrt b? 4488970*x Find the third derivative of 194717*n**4 - 2*n**2 - 67294*n - 3. 4673208*n Find the second derivative of 5646*a**5 + 15*a**2 - 812200*a. 112920*a**3 + 30 What is the second derivative of 21*i**2*k*l**3 - 306*i**2*k*l - 3*i**2*k + i**2 - 3*i*k*l + 2*i*l**2 + 28*i*l - 51*k*l**3 wrt i? 42*k*l**3 - 612*k*l - 6*k + 2 What is the second derivative of 209*l**5 - 109*l**3 + 50*l - 320? 4180*l**3 - 654*l Differentiate 18716*l**3 + 235687. 56148*l**2 What is the second derivative of 57706*m**3 + 79*m - 152 wrt m? 346236*m Find the second derivative of 71655*c**3*o**2 + 6*c**3 - 168*c - 8*o wrt o. 143310*c**3 Differentiate -69*d**3 + 2*d**2*h + 11*d + 41278*h wrt d. -207*d**2 + 4*d*h + 11 What is the first derivative of 2137*m**4 + 62870? 8548*m**3 Differentiate g**3*u**2 - 2*g**3*u - 4795*g**3 - 10*g**2 - 5251*g*u**2 wrt u. 2*g**3*u - 2*g**3 - 10502*g*u What is the first derivative of 317*d**3 + 6*d**2 + 21*d + 168196? 951*d**2 + 12*d + 21 Find the second derivative of 179389*f**3 - f**2 - 191765*f wrt f. 1076334*f - 2 Find the second derivative of 377647*q**2 + 12*q + 2515. 755294 What is the derivative of 269983*s + 483292 wrt s? 269983 What is the derivative of 8*r**3 - 686*r + 81101? 24*r**2 - 686 Find the second derivative of 30*b**4 + 4*b**3 + 18*b**2 - 126675*b wrt b. 360*b**2 + 24*b + 36 Find the second derivative of -15*m*y**4 + 9675*m*y**2 - 3*m*y - 21*m - 6*y - 3 wrt y. -180*m*y**2 + 19350*m What is the third derivative of 41*s**5 + 209*s**3 - 4908*s**2 + 2? 2460*s**2 + 1254 Find the second derivative of 273057*a*q**5 + 34992*a*q - 2*a wrt q. 5461140*a*q**3 Find the second derivative of 11*g**5 - 2*g**3 + 1688*g**2 - 2*g + 40713 wrt g. 220*g**3 - 12*g + 3376 Find the first derivative of 994*r**2 - 16*r - 76563 wrt r. 1988*r - 16 What is the first derivative of -17851*b**3 + b**2 - 58849? -53553*b**2 + 2*b Find the second derivative of d*q**3 - 2*d*q**2 + 2*d*q - d - 18942*q**3 - 101*q + 42 wrt q. 6*d*q - 4*d - 113652*q Differentiate -4*b**2*s - 5*b**2 - b - 905*s**3 - 120 wrt s. -4*b**2 - 2715*s**2 What is the first derivative of -98707*b*z**3 - 52384*z**3 + 3*z wrt b? -98707*z**3 What is the first derivative of -188895*l**3*p**2 + 4817*l**3 - 13*l**2 wrt p? -377790*l**3*p Find the third derivative of -1101*a**5 - 45*a**4*l + 4*a**4 - 9*a**2*l + a**2 - 70*l - 592 wrt a. -66060*a**2 - 1080*a*l + 96*a What is the second derivative of 16076*f**2 - 5464*f - 4 wrt f? 32152 What is the second derivative of -11*i**2*r**3 - 11*i**2 - 385*i*r**3 - 2*i*r - 5*r + 40 wrt r? -66*i**2*r - 2310*i*r What is the third derivative of -413*o**4 - 44*o**3 - 3*o**2 + 618*o? -9912*o - 264 What is the third derivative of 2*w**4 - 775535*w**3 - 1501090*w**2? 48*w - 4653210 Find the third derivative of 1130*l**6 + 18*l**4 + 2*l**3 - 113047*l**2. 135600*l**3 + 432*l + 12 Find the first derivative of -23*h*y**2 - 30377*h - 107*y**2 - 4*y - 297 wrt h. -23*y**2 - 30377 What is the second derivative of 180486*p**3 + 381421*p + 2? 1082916*p Find the first derivative of -49*m**2*z**2 + 1154*m**2 + 3*m*z**4 - 24*m - 305*z**2 wrt z. -98*m**2*z + 12*m*z**3 - 610*z What is the second derivative of -28*w**3 + 17537*w**2 - 5563*w - 12? -168*w + 35074 What is the first derivative of 3282*o**4 + 14696 wrt o? 13128*o**3 What is the derivative of -38*n**4*t + 2*n**2*y - 780*n*t*y + 2*t*y - 15*t + 298*y + 1 wrt n? -152*n**3*t + 4*n*y - 780*t*y What is the second derivative of -143327*l**4 + 117126*l wrt l? -1719924*l**2 Differentiate -4252*t - 40244. -4252 Differentiate -2*y**3*z + 301*y**3 - 3*y**2 + 21521*y*z - 3 with respect to z. -2*y**3 + 21521*y What is the second derivative of -95487*x**2 - 35932*x wrt x? -190974 Differentiate -251*f*s*u**2 + 89*f*u**2 - s*u**2 - 79628*u**2 wrt f. -251*s*u**2 + 89*u**2 Differentiate 23*b**3*x + 578*b**2*x**3 + 35*x**3 - 36*x**2 + 4 wrt b. 69*b**2*x + 1156*b*x**3 Differentiate -328*i**4 - 103*i**3 - 537189 with respect to i. -1312*i**3 - 309*i**2 What is the second derivative of -1314650*o**3 + 502001*o wrt o? -7887900*o What is the derivative of -7463*h**2*q*v - h*q*v - h*v**2 - 3*q + 177*v**2 - 4*v wrt h? -14926*h*q*v - q*v - v**2 What is the third derivative of 111900*b**2*d**3*t - 2*b**2*d**3 - b**2*d**2*t - 247*b*d**2*t - 2*b*d*t + 3*d**3 wrt d? 671400*b**2*t - 12*b**2 + 18 What is the third derivative of -9292*g*v*x**3 + 2*g*v*x**2 + 2*g*v - g*x**3 + 1670*g*x**2 - 2*g + v*x**3 - 2*x**3 wrt x? -55752*g*v - 6*g + 6*v - 12 What is the first derivative of 1677417*y**2 - 1259025? 3354834*y What is the third derivative of 121951*z**4 - 166752*z**2? 2926824*z What is the first derivative of -41217*v**4 - v**2 - 59293 wrt v? -164868*v**3 - 2*v Differentiate -124*r**2 - 164*r - 55055 with respect to r. -248*r - 164 What is the second derivative of 8*c**4 - 303*c**2*l**3 - 3*c*l**2 - 33*l**3 + 8*l**2 + l wrt c? 96*c**2 - 606*l**3 Find the third derivative of 1161814*b**3 + 1248808*b**2. 6970884 What is the second derivative of -g**3*q + 15*g**3 + 22*g**2*q - 26*g**2 + 2*g*q - g - q + 3827 wrt g? -6*g*q + 90*g + 44*q - 52 Find the third derivative of -24*x**5 + 563*x**3 - 40846*x**2. -1440*x**2 + 3378 Differentiate -14947*j + 71754 with respect to j. -14947 What is the second derivative of 7*l**2*p + 135*l**2 - 6*l*p - 912*l + 2*p wrt l? 14*p + 270 Differentiate -820*b**2*z - 1732*b**2 - 7*b*z - 2*b - 5*z + 20 wrt z. -820*b**2 - 7*b - 5 Find the second derivative of -6*v**5 + 91584*v**2 - 20*v + 6202 wrt v. -120*v**3 + 183168 Differentiate 14628*m**3*x**2 - 12*m**3 - 42*m**2 + 8*m - 5*x**3 - 4*x wrt x. 29256*m**3*x - 15*x**2 - 4 Differentiate 10*j*v - 59*j*w**2 - 201*v*w**2 + 2*v*w - 25*w**2 with respect to v. 10*j - 201*w**2 + 2*w Find the third derivative of 4*b**2*o**3*v - 1706*b**2*o**2*v - 215*b**2*v**3 + 9*b*o**3*v**3 + 3*b*o**2*v**2 w
{ "pile_set_name": "DM Mathematics" }
) Simplify ((sqrt(612) + (sqrt(612) - -2*sqrt(612)*1))*-1)**2. 9792 Simplify ((1*-2*sqrt(130))/((sqrt(40) - 2*sqrt(40))/sqrt(4)))**2. 52 Simplify 2*(sqrt(19) + -3*-1*sqrt(19)). 8*sqrt(19) Simplify 5 + sqrt(10)/sqrt(5) - (sqrt(2) + (sqrt(2) + (sqrt(72) + 0 - sqrt(2)))**2). -67 Simplify (3 + sqrt(352)/sqrt(32))**2. 6*sqrt(11) + 20 Simplify 2 + sqrt(1250)*1. 2 + 25*sqrt(2) Simplify -3*sqrt(13)*1 + 0 + sqrt(13)*-2. -5*sqrt(13) Simplify sqrt(33)/(sqrt(55)/sqrt(5)) - 3*(-2 + sqrt(3)). -2*sqrt(3) + 6 Simplify sqrt(40)/(-3*sqrt(288)). -sqrt(5)/18 Simplify 1 + ((sqrt(187) + (-4*sqrt(187)*-1 - sqrt(187)) - sqrt(187) - sqrt(187))/((sqrt(121)*1 + sqrt(121))/sqrt(11)))**2. 18 Simplify -5 + (sqrt(12)/sqrt(3)*1)/(sqrt(10)/sqrt(20)). -5 + 2*sqrt(2) Simplify sqrt(192) - -2*sqrt(192) - -1*sqrt(108). 30*sqrt(3) Simplify (sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228) + sqrt(228)*1*1)) + sqrt(228) - sqrt(228))/sqrt(12). -sqrt(19) Simplify (sqrt(45) + sqrt(5))*-1 - (sqrt(80))**2*-6. -4*sqrt(5) + 480 Simplify (sqrt(28) - (sqrt(1372) - sqrt(1372)*-1))/(sqrt(640)/sqrt(10) - sqrt(4)). -13*sqrt(7)/3 Simplify (sqrt(1000)*-3 + sqrt(1000))/(sqrt(15)/(sqrt(15)/sqrt(5))). -20*sqrt(2) Simplify 4 + sqrt(19) + (-2*sqrt(209))/sqrt(11) + (sqrt(608) + -2*sqrt(608))/sqrt(2). -5*sqrt(19) + 4 Simplify ((1*2*sqrt(171) - sqrt(171)) + sqrt(171) - (2 + sqrt(171) + 2))**2. -24*sqrt(19) + 187 Simplify (sqrt(12) - (sqrt(84)*1)/sqrt(7))/(sqrt(320)/sqrt(5)). 0 Simplify ((sqrt(153) + 2*((sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + -2*sqrt(153) + sqrt(153)))) + sqrt(153)) - sqrt(153))/sqrt(9) + -4)**2. -32*sqrt(17) + 288 Simplify sqrt(27)/(sqrt(36)/sqrt(4)*-6). -sqrt(3)/6 Simplify (-4*(-5 + sqrt(7) + 0 + 1))**2. -128*sqrt(7) + 368 Simplify 2*sqrt(11)*-2 + sqrt(11) + (sqrt(88)*1)/sqrt(8). -2*sqrt(11) Simplify (5*sqrt(66)/sqrt(3))/(sqrt(66)/sqrt(54)). 15*sqrt(2) Simplify (sqrt(55) - sqrt(330)/(sqrt(6) - sqrt(24)))/(sqrt(198)/sqrt(2)). 2*sqrt(5)/3 Simplify ((sqrt(10)/sqrt(2) + sqrt(5) + -3 + -2)*-5*-2)**2. -2000*sqrt(5) + 4500 Simplify 0 + (sqrt(2736) - (0 + sqrt(2736)))*4. 0 Simplify -6*sqrt(21)/sqrt(7) - (sqrt(3) - sqrt(12)*-6). -19*sqrt(3) Simplify ((sqrt(130) - 5*sqrt(130)*2) + sqrt(130))/(-6*sqrt(10)*2). 2*sqrt(13)/3 Simplify (-1*sqrt(153)*1)/((sqrt(81)*2)/sqrt(9)). -sqrt(17)/2 Simplify (5 + -1 + sqrt(171) - sqrt(171))*-1. -4 Simplify (sqrt(512) + 2*sqrt(512) + sqrt(512))/sqrt(4). 32*sqrt(2) Simplify (-5*1*sqrt(152))/(sqrt(32)/(sqrt(12)/sqrt(3))). -5*sqrt(19) Simplify (sqrt(468)*1 + -5 - sqrt(468) - (2*sqrt(468)*-6 + sqrt(468) + sqrt(468)))**2. -600*sqrt(13) + 46825 Simplify 6*(sqrt(432) + (sqrt(432) - -1*sqrt(432)) - sqrt(432))/(-1*sqrt(9)*-3 - sqrt(9)). 24*sqrt(3) Simplify (-3 + (sqrt(117) + (sqrt(117) - (-1 + sqrt(117))) + 5 + sqrt(117) - (-2*sqrt(117)*1 + sqrt(117))))**2. 54*sqrt(13) + 1062 Simplify (sqrt(304) - (sqrt(304)*-1*-5 - sqrt(304)))**2 - -3*sqrt(152)/sqrt(128). 3*sqrt(19)/4 + 2736 Simplify -2 + sqrt(539) + (sqrt(539) + -4)*-6. -35*sqrt(11) + 22 Simplify -4*(0 + sqrt(125))**2. -500 Simplify ((sqrt(135)*2)/sqrt(3) + sqrt(45))/(sqrt(18)/(sqrt(10)/sqrt(5))). 3*sqrt(5) Simplify -3*(sqrt(1539)*-5)**2. -115425 Simplify ((-1 + sqrt(7)*-1 - sqrt(63)*-1)*-1)**2. -4*sqrt(7) + 29 Simplify -5*(1 + (sqrt(2) - (2*sqrt(2) - sqrt(2))**2)). -5*sqrt(2) + 5 Simplify 4*sqrt(833)*-3. -84*sqrt(17) Simplify (-4*sqrt(80) + -4)**2. 128*sqrt(5) + 1296 Simplify ((4*sqrt(504) + sqrt(14) - sqrt(14))/sqrt(7))**2. 1152 Simplify -1*(sqrt(112)*-2)**2*3. -1344 Simplify (sqrt(32)*-2)**2 + 0 + sqrt(200). 10*sqrt(2) + 128 Simplify (-2*(0 + sqrt(2736) + sqrt(2736))*5)**2. 1094400 Simplify -4*(2 + (sqrt(57)/sqrt(3) - sqrt(19)))**2. -16 Simplify sqrt(108) - (sqrt(108)*1 + -1 + sqrt(108)). -6*sqrt(3) + 1 Simplify 5 + sqrt(10)/sqrt(2) - ((sqrt(125) + 1 + sqrt(125))**2 - sqrt(5)). -496 - 18*sqrt(5) Simplify (1*sqrt(833))**2*-2 + sqrt(833) - (sqrt(833) + (0 + sqrt(833))**2)*5. -5831 - 28*sqrt(17) Simplify (sqrt(44)/sqrt(2))/sqrt(2) - (1 + sqrt(396)). -5*sqrt(11) - 1 Simplify (sqrt(128)/sqrt(2))/(sqrt(512) - sqrt(512)*-2). sqrt(2)/12 Simplify (-4*sqrt(76)*1)/(sqrt(36)/(sqrt(27)/sqrt(3))). -4*sqrt(19) Simplify 1*-5*(sqrt(136)/(sqrt(24)/sqrt(3)) + 5). -25 - 5*sqrt(17) Simplify sqrt(76) + 0 + sqrt(19) + (sqrt(190)/(sqrt(10)*-1))**2. 3*sqrt(19) + 19 Simplify 4*(((sqrt(931) - (1 + sqrt(931))) + 3 + sqrt(931))**2 + sqrt(931)). 140*sqrt(19) + 3740 Simplify (sqrt(208)/sqrt(8) + sqrt(26))/sqrt(2) + (2*sqrt(13)*-5)**2. 2*sqrt(13) + 1300 Simplify ((1*sqrt(98) + 1 - sqrt(98)) + (sqrt(98) + -1 - sqrt(98))*-1)**2. 4 Simplify ((sqrt(85)*-1)/sqrt(5) + 1*(sqrt(17) - (0 + sqrt(17))))**2. 17 Simplify 1 + (sqrt(1331) + 1)**2. 22*sqrt(11) + 1333 Simplify -1*(sqrt(11)*-3)**2 - (sqrt(176))**2. -275 Simplify sqrt(1539)*-4 + -1 + 2. -36*sqrt(19) + 1 Simplify ((2 + sqrt(63) + 1 + sqrt(63))**2 - sqrt(63))*2. 66*sqrt(7) + 522 Simplify (sqrt(3) - (0 + sqrt(27)))*4. -8*sqrt(3) Simplify (sqrt(95) - (sqrt(95)*4 - sqrt(95)))/sqrt(5)*-6. 12*sqrt(19) Simplify ((sqrt(171) + 1 - sqrt(171))*2 + 2)**2. 16 Simplify (-2*(sqrt(14)/sqrt(2)*-4 - sqrt(112)*3))**2. 7168 Simplify (sqrt(22) - sqrt(1408)*-1)/((-2*sqrt(88) + sqrt(88))/sqrt(8)). -9*sqrt(2) Simplify (sqrt(1700)*-3*3)**2. 137700 Simplify 3 + 3*sqrt(252) - 2*(sqrt(252) - (sqrt(252) + 2)). 7 + 18*sqrt(7) Simplify ((sqrt(66) + (1*sqrt(66) + sqrt(66) + sqrt(66) - sqrt(66)))*3 - sqrt(66))/(sqrt(6) + sqrt(54)*3). 4*sqrt(11)/5 Simplify (-1*sqrt(539) + 3)*4. -28*sqrt(11) + 12 Simplify (2*sqrt(228)*5)/((2*sqrt(36))/sqrt(3)) + -4. -4 + 5*sqrt(19) Simplify (-1*(sqrt(1900) + 0)*5)**2. 47500 Simplify (1*sqrt(9)/sqrt(3) + sqrt(3) + sqrt(3) + sqrt(30)/(sqrt(10) - sqrt(90)))**2. 75/4 Simplify 1 + (sqrt(19) + 1)*5. 6 + 5*sqrt(19) Simplify (6*(0 + sqrt(245)))**2. 8820 Simplify -6*(sqrt(11) + 0) - (4 + sqrt(44)/sqrt(4))**2. -14*sqrt(11) - 27 Simplify (4*(sqrt(637) + 1*sqrt(637)*-5 - sqrt(637)))**2. 254800 Simplify ((3 + sqrt(720))**2 + -1)*-3. -2184 - 216*sqrt(5) Simplify ((sqrt(320) + -1)*-6)**2. -576*sqrt(5) + 11556 Simplify (sqrt(1911)*1)/((sqrt(30)/sqrt(2))/sqrt(5)). 7*sqrt(13) Simplify (((sqrt(1100) - sqrt(1100)*-1) + -2 - (sqrt(1100) + 1 + sqrt(1100) + 2))*-1)**2. 25 Simplify ((sqrt(75) - (2 + sqrt(75))) + -2)**2. 16 Simplify 3 + -2*(sqrt(242) + 0)*6. -132*sqrt(2) + 3 Simplify (sqrt(2) - (3*sqrt(12))/sqrt(6)) + -4. -4 - 2*sqrt(2) Simplify (4 + sqrt(3)*2*5 + sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(12)) + -4)**2. 363 Simplify (((sqrt(121) + sqrt(121) + sqrt(121) + sqrt(121)*-3 - sqrt(121))*2)/(-1*sqrt(11)*-1))**2. 44 Simplify 2 + (-2*((sqrt(2) - (sqrt(18) + sqrt(2))) + 5)*4)**2. -1920*sqrt(2) + 2754 Simplify (sqrt(130)/sqrt(90) + (sqrt(1053) - (-1 + sqrt(1053))))**2 + -1 + (sqrt(130)*-1)/sqrt(10). -sqrt(13)/3 + 13/9 Simplify -6*(3 + sqrt(5) + -2 + (sqrt(320)*-3)**2). -17286 - 6*sqrt(5) Simplify (-1 + sqrt(143)/(sqrt(33)/(-2*sqrt(3))))**2. 4*sqrt(13) + 53 Simplify -5*sqrt(12)/sqrt(6) + -2. -5*sqrt(2) - 2 Simplify 0 + (sqrt(68)*1 - sqrt(17))**2. 17 Simplify (sqrt(52)/sqrt(4)*-2)**2 + ((-2*sqrt(13) - sqrt(13)) + -5)**2. 30*sqrt(13) + 194 Simplify (sqrt(1125) - (-1 + sqrt(1125) + sqrt(1125) + 1) - sqrt(1125))**2. 4500 Simplify sqrt(19) + (sqrt(19) + sqrt(228)/(sqrt(12)*-2) + sqrt(19))**2 - (sqrt(152) - sqrt(152)*-1)/sqrt(8). -sqrt(19) + 171/4 Simplify (2 + -2*sqrt(5) + 0 + 0)**2. -8*sqrt(5) + 24 Simplify (-2*sqrt(4000) + sqrt(4000) + sqrt(4000))/(sqrt(32)*-3). 0 Simplify sqrt(11) + (sqrt(11) + sqrt(99))**2 + 5 + (sqrt(176))**2 + 3. sqrt(11) + 360 Simplify (2 + (sqrt(117)*-2 - sqrt(117))**2)*-1. -1055 Simplify sqrt(56)/(sqrt(392)*1). sqrt(7)/7 Simplify (-1*sqrt(204)*-5 + sqrt(204))/(sqrt(192)*1). 3*sqrt(17)/2 Simplify ((2*sqrt(84))/sqrt(6))/(sqrt(72)*2). sqrt(7)/6 Simplify (sqrt(162) + (sqrt(162) + (sqrt(162) - (sqrt(162) - (1 + sqrt(162))*-3 - sqrt(162)) - sqrt(162)) - sqrt(162)))**2 + sqrt(162). 117*sqrt(2) + 657 Simplify (-2 + (sqrt(832) - (sqrt(832) - 2*sqrt(832))) - (sqrt(468) + 0 + 4 - sqrt(468)))**2. -192*sqrt(13) + 3364 Simplify (-3 + sqrt(119)/(sqrt(84)/sqrt(3) - sqrt(7)))*5. -15 + 5*sqrt(17) Simplify 1*(-1 + sqrt(5)) + (sqrt(25)*1)/sqrt(5). -1 + 2*sqrt(5) Simplify ((sqrt(13) - sqrt(13)*-3) + sqrt(13) + -1)**2 + sqrt(325)*5. 15*sqrt(13) + 326 Simplify 0 + (sqrt(192) - (sqrt(192) + 1 + (2*sqrt(192) - sqrt(192)))
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
7 Solve 106 - 62 = 5*p - 3*z, -4*z - 47 = 5*p for p. 1 Solve 0 = 5*z + x, -z - 193*x + 52 = -198*x for z. 2 Solve 0 = -5*v + 4*m + 10, 10*v + 10 = -0*v + 2*m for v. -2 Solve -2*g + 33*c + 6403 - 6331 = 0, 4*g = -5*c + 2 for g. 3 Solve -3*r = 3*q - 12, 4*r + 2*q = -4*q + 10 for r. 7 Solve -4*z - 54 + 30 = 4*v, v - 3*z = 2 for v. -4 Solve 0 = 3*w + 2*i + 11, 24*i + 155 = w - 14 for w. 1 Solve 3*w + 8 = -4*z, -17461*z + 40 = -17459*z - 4*w for z. 4 Solve -7*h + r = -15, -2*h - 95*r + 100*r = -9 for h. 2 Solve 0 = -46*z + 47*z - 5, -2*x + 7*x + 5*z = 5 for x. -4 Solve -25 = -r - 2*z, -74*r - 160 = -57*r - 5*z for r. -5 Solve -9*o + 24 - 2 = h - 3*o, -3*h + 4*o = 0 for h. 4 Solve -5975*d + 5980*d - f - 33 = 0, -4*d + 12 = f for d. 5 Solve -34*g - 5*b + 70 = -28*g, 3*b = 5*g - 44 for g. 10 Solve -2*i + 5 - 7 = -5*c + 12, 0 = 4*i - 2*c - 4 for i. 3 Solve 0 = 4*r + 3 + 1, -5*r - 105 = -2*q - 102 for q. -1 Solve 2*t = 6, 11 = -5*i + 19*t - 17*t for i. -1 Solve c = 3*z + 11, -332*c - z = -337*c + 13 for c. 2 Solve 27*w = 26*w - 9*z + 198, -4*z + 88 = 3*w for w. 0 Solve 3*j + 53*q - 55*q - 7 = 0, 4*j + q - 13 = 0 for j. 3 Solve -221*a + 223*a = -40, 5*l = 3*a + 50 for l. -2 Solve -3*d + 9 = -2*q, 85*q = 88*q + 3*d - 24 for q. 3 Solve -3*l = y + 13, 138*y - 137*y = -l - 5 for l. -4 Solve -4*u = -3*v - 14, 3*v + 953*u + 4 = 955*u for v. 2 Solve -4*l + k + 19 = 0, 0 = -3*l + 71*k - 67*k + 24 for l. 4 Solve -850*m + 143 = 11*d - 854*m, 0 = 4*d - 5*m - 52 for d. 13 Solve -4*c + 4*x - x + 3 = 0, 17*x = -3*c + 15*x - 2 for c. 0 Solve -711*n + 2*r = -713*n + 14, 4*r - 8 = 0 for n. 5 Solve 4*z + 58 = -3*k + 63, -2*k + 5*z = -11 for k. 3 Solve -5*m + 5*s = 10, -107*m + 112*m - 4 = -2*s for m. 0 Solve 455*k - 28 = 5*v + 458*k, 2*k = v + 3 for v. -5 Solve 8 = -k + 2*m, 2*k + 2*m = -3*m + 32 - 3 for k. 2 Solve -42 = -3*d - 4*n - 26, -6*d = 2*n - 26 for d. 4 Solve -580*x = -585*x - 5*p + 55, 27 = 5*x + p for x. 4 Solve 0 = -122*b + 127*b + 2*n + 54, 5*n + 30 = -2*b for b. -10 Solve 305*b - 310*b - g = 59, 38 = -2*b - 4*g for b. -11 Solve 7 = f + 4*y, 3*y - 20 = -f - 15 for f. -1 Solve -15 = -2*c - y, 5*c + 634 - 675 = y for c. 8 Solve -q - 6185 = 5*s - 6168, q = -4*s - 14 for q. -2 Solve -6*q - g + 5 = 0, 4*q - 27*g + 26*g + 5 = 0 for q. 0 Solve 3*m - 15 + 13 = -2*a - 10, 0 = 7*a - 14 for m. -4 Solve -d = -2*a - 15, -10*d = 38*a - 35*a - 35 for d. 5 Solve -5*x = 3*p - 50 + 72, -5*x = -2*p + 27 for x. -5 Solve -3*a - 2*u = 0, 479*u = -2*a + 477*u + 2 for a. -2 Solve -22 = -3*n - 2*a, 3*n + 4*a - 4 = 7*n for n. 4 Solve 5*r + 30 = 5*k, -46*r + 42*r = 16 for k. 2 Solve -5*z - 14*u + 13*u - 44 = 0, 0 = 3*z - 3*u + 30 for z. -9 Solve 7 = g - 4*l, 0 = 5*g - 4*l + 15580 - 15567 for g. -5 Solve u - 5*i - 11 = 0, 14*u = -39*i + 35*i + 154 for u. 11 Solve -5*s = q + 20, 0 = -41*q + 40*q - 3*s - 14 for q. -5 Solve -2*q - 24 = -125*z + 123*z, q = 3*z - 20 for q. -8 Solve 0 = -2*v + 3*m - 8, -5*m - 8 = -45*v + 47*v for v. -4 Solve -77*k + 78*k = -5*h + 24, -14 = 9*k - h for k. -1 Solve 0 = -4*n + 4*d - 15 + 47, 3*d = -2*n - 29 for n. -1 Solve 6*r - 46*m + 47*m - 7 = 0, 2*r - 5*m - 29 = 0 for r. 2 Solve 7 = -2*m + 38*h - 37*h, -5*h + 17 = -4*m for m. -3 Solve 5*j - 45 = 4*o, -2*o + 842 - 851 = -j for j. 9 Solve 4*b - 5*f + 17 = 0, -5*b = -148*f + 145*f + 5 for b. 2 Solve 4*l = -z - 44, -2*l - 797*z + 799*z = 12 for l. -10 Solve -7*u + 18*m + 6 = 13*m, -3*u + m = -6 for u. 3 Solve 839*k = 843*k + 2*y - 22, -5*k + 3*y = -11 for k. 4 Solve -3*a + 24 = 2*k, -2*a + 121 = -4*k + 89 for a. 10 Solve 0 = -i - 5*j + 23, -19*i + 4*j = -20*i + 18 for i. -2 Solve 4*k - 3*q + 28 = 0, -k + 8 = 330*q - 327*q for k. -4 Solve -5*i + 76*b + 28 = 73*b, 9 = 2*i + b for i. 5 Solve 0 = -89*d + 85*d + 68*g + 764, 3*g = 3*d - 45 for d. 4 Solve 5*c + 11 = -2*i, -c - 16 = i - 12 for i. -3 Solve 4*u - 160*j + 4 = -165*j, u = -4*j + 10 for u. -6 Solve 4*d - 28 = -4*x, 8668*d - 8658*d - 61 = -x for d. 6 Solve -2*f = 2*m - 6, 13 + 10 = 5*m - 3*f for m. 4 Solve 0 = -l + 5*a + 2, -2*l = -2*a - 53126 + 53130 for l. -3 Solve 0 = -5*r + 4*b + 1, 0 = -r + 11*b - 18*b + 13*b + 21 for r. -3 Solve 3*c - 85 + 105 = 5*a, 0 = -5*c for a. 4 Solve 0 = 4*v - 3*x - 53, 11*v + 297 = 2*x + 474 for v. 17 Solve 2*d + 9 = 883*h - 882*h, -3*h = -5*d - 24 for h. 3 Solve 110 = -5*v + 5*f + 65, -35 = 4*v - 3*f for v. -8 Solve 2*g + 2*t - 14 = 0, -4*g - 3*t = -69 + 44 for g. 4 Solve c + 12*l = -2*c + 13*l, 0 = -23*l + 69 for c. 1 Solve -5*h = -154*f + 156*f + 5, 3*f + 19 = 4*h for f. -5 Solve -4*w = -3*z - 438 + 497, 29 = -w - 4*z for w. -17 Solve 0 = 33*q - 28*q - 4*r + 60, 4*q = 2*r - 42 for q. -8 Solve n - 5*g + 45 = -n, 110 = -n + 15*g for n. -5 Solve 80 = 5*w - 5*h, 18396*w + 4*h + 50 = 18399*w for w. 14 Solve 4*p + 6*a = -4, 2*a = 30 + 38 - 72 for p. 2 Solve -3*z - 206 + 214 = 2*q, 5*q = -4*z + 13 for q. 1 Solve 3*g = 3*a + 15, -g - 795*a = -792*a - 5 for g. 5 Solve -2*a = 2*a + u - 15, 0 = -4*a + 2*u - 6 for a. 2 Solve -2*c + 10 = 164*w - 168*w, -2*c = 5*w - 10 for c. 5 Solve 0 = 2*i - 4*z - 38, 12*z = -2*i + 11*z - 7 for i. 1 Solve -3*n - z = -345 + 356, 0 = -4*z + 16 for n. -5 Solve 5*p - 2*c = -13, 0 = -2*p - 3*c - 121 + 131 for p. -1 Solve 4*y = -5*i + 33, 0 = -2*i - 4*y + 990 - 972 for i. 5 Solve -4*x - 12 = 1515*q - 1510*q, 3*q - 5*x + 22 = 0 for q. -4 Solve 3*h + 17 = k, 2*h - 4*k + 3470 = 3442 for h. -4 Solve -2*b = w - 154 + 156, 3*w = 21*b - 87 for b. 3 Solve -8*r = 63 - 87, -3*a = 5*r - 54 for a. 13 Solve 0 = 5*r - 6*z + 61, 65*r - 60*r = -3*z - 7 for r. -5 Solve -4*o - 45 = 3*g, 2*g - 5*g = 9 for o. -9 Solve 0 = -2*m - 5*r - 15, -5*m - 5227*r - 12 = -5223*r for m. 0 Solve 6*u - 3*z + 4 = z, 28 = -2*u - 4*z for u. -4 Solve 5*j + 20 = -5*n, -n + 53*j = 58*j for n. -5 Solve 0 = -4578*o + 4589*o - 2*v + 48, 0 = 4*o - 3*v + 47 for o. -2 Solve 3*h - 8*s - 55 = 0, -2*h + 3*s + 1689 - 1664 = 0 for h. 5 Solve 17 = -242*i + 241*i - 4*u, 0 = -3*i + 5*u + 34 for i. 3 Solve -d = a + 2633 - 2643, -2*d + 10 = -3*a for d. 8 Solve -3*u = -3*h - 9, u + 4*h - 439 = -466 for u. -3 Solve -28 = -4*i - 8*z, 2*i + 15*z - 20*z = -31 for i. -3 Solve 15 = -5*g, -2352*c - 24 = -2347*c - 2*g for c. -6 Solve t = 4*j - 2, -3*t - j + 4 = -3*j for t. 2 Solve 12*b + 100 = -4*r, -2*b + 25 = r - 4*b for r. 5 Solve -806*z - m - 12 = -808*z, -2*z - 28 = 3*m for z. 1 Solve -15 = -3*z, 94*z + 2 = 2*c + 96*z for c. -4 Solve -9 = -3*f - 4*n, 3*f - 59 = 2*n - 68 for f. -1 Solve 5*r - 5*v - 40 = 0, -3*r - 32*v + 30*v - 138 + 147 = 0 for r. 5 Solve -7*z = 109*d - 102*d - 63, 0 = 5*z - 3*d - 29 for z. 7 Solve 4*u - 4*t - 4 = 0, -28*t - 1 = -u - 32*t for u. 1 Solve 9*y + 21 = -o, -o = -3*y + 7186 - 7201 for y. -3 Solve -35*n + 37*n - 6 = 4*b, 2*b - 27 = -9*n for b. 0 Solve -n = -2*w - 10, 4*n + 2171*w - 2176*w - 28 = 0 for n. 2 Solve -t - 21 = -5*o, 30292 - 30263 = -3*t - 2*o for t. -11 Solve 2321*d - 2320*d - 11 = -2*p, 3*p = 4*d - 9*d + 41 for d. 7 Solve -5*u - 68 + 14 = -24*k + 12*k, 20 = -2*u + 4*k for u. -6 Solve 0 = 5*c - 5*f - 10, -106*c = -110*c + 3*f + 11 for c. 5 Solve 0 = 4*d + y - 7, 30*y - 15*y + 15 = 12*y for d. 3 Solve -2*t + 6*t - k = -3*t - 9, 5*k - 10 = 0 for t. -1 Solve -5*z + 2*i - 20 = 0, -32*i + 7 = -z - 31*i for z. -2 Solve 7*p + 20 = -2*n + 3*p, -3*n - 4*p = 22 for n. -2 Solve -9*n + 8 = -2*c, -48 = -c - 4*n - 35 for c. 5 Solve 3*q = 4*j + 115 - 131, q = -5*j + 20 for j. 4 Solve u - 49 = -7*v - 33, v + 5*u - 12 = 0 for v. 2 Solve 5*g + 5*s = 25, -16 = 160*s - 164*s for g. 1 Solve -2*w + 761*t = 764*t + 4, w + 3*t = 1 for w. -5 Solve -4*r + 106*g + 52 = 110*g, 2*r + 5*g - 38 = 0 for r. 9 Solve 5*y - 5*m + 5 = 0, -5*m - 13 = 1709*y - 1708*y for y. -3 Solve -71*s = -65*s - 5*i + 8, 0 = -3*s + 2*i - 5 for s. -3 Solve 5*y - j = 79, -j - 80 = 2*y - 106 for y. 15 Solve 0 = f - 10*o + 18*o - 26, -2*f - 4*o = -16 for f. 2 Solve -5*w + 159*t - 163*t = 17, 0 = -3*t + 6 for w. -5 Solve -5*a = 3*s + 20, -5*s - 50*a = -55*a - 20 for s. 0 Solve 3*h - 2*t - t = 0, 50 - 20 = 5*h + 5*t for h. 3 Solve 4*y + 9 - 25 = -4*f, 3 = y for f. 1 Solve -h = 3*b - 97 + 87, -2*h = -3*b - 2 for h. 4 Solve 3*t + 16 = -5*n, 413 = -5*n + 418 for t. -7 Solve -c - 5*b = -3, 49*c - 47*c - 4*b + 22 = 0 for c. -7 Solve 3*f - 13 = -5*b, 217*f = 222*f + 3*b - 11 for f. 1 Solve p
{ "pile_set_name": "DM Mathematics" }
v. 4 Let n(h) = 3*h**3 + 35*h**2 - 19*h - 24. Let s be n(-12). Solve 45 + 15 = -s*d for d. -1 Let d(k) = 6*k**2 - 22*k + 37. Let p be d(16). Suppose -8*x + p = -11*x. Let l be x/(-143) - (-4)/26. Solve 13 + 2 = l*c for c. 5 Let l = -164 - -85. Let h = l + 91. Suppose -h*r + 16 = -8*r. Solve y + r = -y for y. -2 Let v = 197 - 157. Suppose -9 - 3 = -3*b, -4*b + v = 4*o. Solve -5*y = -o*y for y. 0 Let v = 168 - 167. Let l be (-7)/(-35) + v*(-208)/(-10). Solve -2*m + 13 = l for m. -4 Suppose 4*d = -4*i + 2*d + 342, 4*i + 4*d = 352. Suppose -i*q - 45 = -88*q. Solve -6 = r - q for r. 3 Suppose -34*l + 27*l + 1064 = 0. Solve l*r = 153*r for r. 0 Let m(l) = -3*l**2 - 18*l - 12. Let a be m(-5). Let p(i) = -i**2 + 11*i. Let y be p(11). Solve a*d - d = y for d. 0 Let d = -9427 - -9502. Solve -34 - 116 = d*n for n. -2 Let c = 4 + -1. Suppose -1828*f = -1824*f - 608. Suppose -3*w + f = 140. Solve -j = -w*j + c for j. 1 Let h be (-10)/(-6)*552/230*(-5)/(-2). Solve -17*m - 42 = -h*m for m. -6 Let t = -130 - -130. Solve -15*i + 2435 - 2495 = t for i. -4 Let m(h) = -h**3 + 20*h**2 + 2*h - 36. Let y(u) = -2*u + 42. Let n be y(11). Let j be m(n). Suppose j*x - 85 = -73. Solve -v = x*v - 8 for v. 2 Suppose -2 = -t - 13. Let v be 137/1 + 22/t. Suppose 6*i + 15 = v. Solve i = -u + 6*u for u. 4 Let y be ((-16)/56 + 9/7)*220. Suppose 0 = -11*n + 16*n - y. Suppose n - 47 = -u. Solve u*d + 2*d + 20 = 0 for d. -4 Let j(d) = -27*d - 417. Let r be j(-16). Solve -57 - 3 = r*l for l. -4 Let r = -53 + 2226. Solve 0 = 12*u - 2197 + r for u. 2 Suppose -5*r = 2*k - 9 - 5, 3 = -3*r - 5*k. Let n be ((-2)/r)/(27/(-486)). Solve t - n + 12 = 0 for t. -3 Let x(r) = 13*r + 111. Let z = 241 - 249. Let i be x(z). Solve 0*q + i*q = 7 for q. 1 Let q = -611 + 2108. Solve -q*s = -1492*s + 20 for s. -4 Let j(r) = r**3 - r**2 + r + 2. Let o = -32 - -32. Let u be j(o). Suppose 0 = -p - p - u*s - 4, 0 = -5*p - 4*s - 6. Solve 3*i = 4 + p for i. 2 Let n(s) = -2*s - 13. Let g be n(21). Let b = -56 - g. Let p be -8*b/(-2) - -9. Solve -4*l + p = l for l. 1 Suppose 0 = 5*q - 0*q. Suppose -3*z = z + 6*k - 42, q = -4*z + 2*k + 34. Solve 0 = 4*o - 7*o + z for o. 3 Suppose 7*w + 32 = -24. Let p = -2 - w. Suppose 0 = p*j - 8*j. Solve j = -2*z + 10 - 2 for z. 4 Let q be (-2760)/(-100) + 3/5 - 2/10. Solve q*u - u = -54 for u. -2 Suppose -3*n = 5*s - 46, -4*s - n = -4*n - 26. Let g be (-2)/(-3*3/18). Suppose -5*x = -g*j - 0 - 2, -20 = -5*x - 5*j. Solve -x*a + s = -6*a for a. -2 Let m(w) = -w**3 + 13*w**2 - 12*w + 17. Let h be m(12). Suppose -h*p + 2 = -32. Solve p*z = 9*z + 7 for z. -1 Suppose -8 = -13*c + 44. Suppose 2*k + 3*a = 4, -2*k + 0 = -4*a - c. Solve 3*g + 7 = -k for g. -3 Suppose s - 2*j = -4*s - 302, 3*j + 177 = -3*s. Let a be 3/(s/(-52)) - 2/(-5). Solve 0 = a*w - 4 - 11 for w. 5 Suppose 0 = 3*u + 4*v - 24, 5*u + 1030 - 1062 = -4*v. Solve -6 + u = 2*f for f. -1 Let a be 1/(-5 + (-602)/(-119)) - (14 + -18). Solve -14*b = a - 7 for b. -1 Suppose -6*l + 2*l = 2*z + 4, -3*l - 9 = 0. Let u(j) be the first derivative of j**3/3 - j**2 - 4*j + 1093. Let q be u(z). Solve -2 = -3*h + q*h for h. -2 Suppose -o - 214 = -2*t - 198, 4*t = -2*o + 40. Solve 8*l - t - 7 = 0 for l. 2 Let i(s) = s**3 + 17*s**2 - 17*s + 29. Let m be i(-18). Let v be ((-39)/15 - (-6)/(-15)) + m. Solve 3*z - v = -z for z. 2 Let k(b) = -b**2 - 43*b + 188. Let h be k(4). Solve -57*o + 66*o - 54 = h for o. 6 Let b = 12 + -7. Suppose -47*s = -33 - 108. Suppose 0 = -2*h + 58 - 42. Solve s = -b*t + h for t. 1 Let z = -10734 - -13047. Solve z*g - 2301*g = -12 for g. -1 Let y be (-28)/(-56) - 5/2. Let c be (27/(-6) - 0)*y. Solve -c = 4*i - 7*i for i. 3 Suppose 11*b = -7*b - 594. Let q(c) = 2*c**2 + 64*c - 64. Let y be q(b). Solve 0 = 9*o - 7 - y for o. 1 Let z = -6107 + 6122. Solve -z*f - 70 = -10 for f. -4 Suppose d + 18*d = -76. Let l be (-4)/d*(-4 + -1 - -9). Solve 8 = -0*i + l*i for i. 2 Let q(b) = -3*b + 3. Let d be q(0). Let k(r) = r**3 - 27*r**2 + 48*r + 50. Let f be k(25). Solve v - d*v + 10 = f for v. 5 Suppose 4*f = 5*q - 96, f + 2*f = -5*q + 103. Let u be (-20)/8*(-24)/q. Suppose 2*z - u*h + h - 10 = 0, z - 13 = 5*h. Solve -10 = z*m - m for m. -5 Suppose 4*z = 5*l - 30, 0*z - 6 = -3*z - l. Solve z = 8*a + 7 + 1 for a. -1 Let b be ((-24)/(-14))/(29/(-203)). Let p be 15/20 + (-963)/b. Let h = 84 - p. Solve 12 = -h*y - y for y. -3 Let x be 2/3 + (-294)/(-18). Let p(s) = 4*s - 17*s**2 + 35*s**2 - 18 - x*s**2. Let v be p(-7). Solve 0*b - b = -v for b. 3 Let d be (3 - 11)*1/(-4)*1. Suppose 2*n - 2*o + 28 = 42, -n = 4*o - d. Solve i = n*i + 25 for i. -5 Let c be (0 - 0)*(10 - 11). Suppose c = -5*v - f + 5, v - 4*v = -f - 11. Suppose 0 = 2*u + 2 - 8. Solve u*x - 1 = v*x for x. 1 Let x(p) = p**2 - 8*p + 107. Let r be x(15). Let w = r - 207. Solve -12 = w*n - n for n. -3 Suppose -102*m + 9 = -105*m. Let o(z) = 3*z**2 + 10*z + 6. Let j be o(m). Solve 0 = -j*v + 6*v + 12 for v. -4 Let x(t) be the third derivative of t**5/60 + 29*t**4/24 - 8*t**3 + 136*t**2. Let h be x(-31). Solve 11*r + 15 = h*r for r. 5 Let w(a) = a**3 + 28*a**2 - 27*a - 16. Let b be w(-29). Let r be 74/b + 8/1. Solve 7*h - 6*h = -r*h for h. 0 Let f = -348 - -357. Suppose -4*p - 4 = 4*u, 24 = 3*u - 5*p - 13. Solve -5*z + f*z + u = 0 for z. -1 Let b be 63/7 + 2 + -3. Suppose -o = b - 9. Suppose -1 = -d - o. Solve -3*t - t - 16 = d for t. -4 Let s(y) = 3*y**2 + 28*y + 46. Let j be s(-2). Solve 22*i - j = 23*i for i. -2 Let d be (((-8)/(-72))/(1/6))/(97/1455). Solve -d*s + 12 = -7*s for s. 4 Let a = 41 - 38. Let m be (-4)/6 + 89/a. Suppose m*v - 33*v = -8. Solve -2*o = v*o for o. 0 Suppose -z - 38 = 28. Let j be z/15 + 2/5. Let v(o) = 2*o**3 + 9*o**2 + 4*o + 3. Let l be v(j). Solve 3*h = l - 6 for h. -1 Suppose 2*f = 5*y + 23, -2*f + 9 = 3*y - 38. Suppose -9*s + f + 8 = 0. Let c be (s*-3)/((-21)/14). Solve 2*x - c*x = 0 for x. 0 Suppose 20*d = -3*w + 24*d + 116, 24*w + 3*d = 648. Solve -3059*o = -3045*o - w for o. 2 Let g be -1 + (-1)/(-3) - (-7)/((-294)/(-322)). Suppose 2 = -2*t - 5*m, -t + 0*m - 4 = m. Let i be (-3)/(-2)*(-8)/t. Solve i*v - g*v = 0 for v. 0 Suppose -123 = 2*o + 2*n - 131, -40 = 5*n. Solve o*c - 15 = 15*c for c. -5 Suppose 28 = 24087*l - 24073*l. Solve 15*b = l*b - 78 for b. -6 Let s = -1891 + 1910. Solve 6*v = -5 - s for v. -4 Let c(y) = -41*y + 9. Let u be c(-7). Let l = 320 - u. Solve -3*f - 3*f = -l for f. 4 Suppose 2*b + 51 = 3*s, 3*s - 66 = -5*b - 183. Let n be (-141)/b + (1 - 2)/(-8). Solve 9 - n = 3*j for j. 1 Let t(s) be the third derivative of -s**6/120 + s**5/10 - 5*s**4/24 - s**3/3 + 14*s**2. Let u be t(4). Suppose -9 = -2*b + 1. Solve -b*f - 15 = u for f. -5 Let x = 4999 + -4925. Solve -20*y - x = 46 for y. -6 Let b be 6/(-4)*12412/(-321). Solve -b*w = -35*w + 92 for w. -4 Let r be 966/12 - (-1*(-55)/(-10) + 2). Solve -7*n + r = -19*n for n. -7 Suppose -147*k = -100*k. Solve k = 48*a - 88*a + 160 for a. 4 Let p(l) = l**2 + 8*l + 18. Let v be p(-8). Suppose v + 12 = 10*d. Let w be (-3 + 0 + d)/(-2 + 3). Solve 5*o - 5 = -w*o for o. 1 Let q(f) = -f**3 - 9*f**2 - 17*f + 6. Let j be q(-6). Suppose j = d - 3*a + 10, d - 5*a + 28 = 5*d. Solve d*o = o - 2 for o. -2 Suppose 518*x = 238*x - 231*x + 6132. Solve 62*y = -112 - x for y. -2 Let v(a) = 9*a**3 + 4 - 7*a**2 - 10*a**3 + 37*a - 50*a. Let y be v(-4). Solve -10*c = -y*c + 4 for c. -2 Let y = 651 + -649. Suppose 3*p + y*s = 38, 4*s - 6 = p - 0. Solve 4*u + p = 26 for u. 4 Suppose 14*n - 770 = 7*n. Suppose 23*t - 120 = n. Solve 15*q - 10*q + t = 0 for q. -2 Let q(z) = -42*z**2 + 2275*z - 346. Let l be q(54). Suppose -3*p + 3*m = -0*m - 15, -3*m + 9 = 3*p. Solve 0 = -l*a + 31*a + p for a. 4 Suppose -1207 = 9*x - 8632. Solve -8*q - x = -793 for q. -4 Let r be (-345)/(-45) + (-1)/(-3). Suppose 8*t - r = -16. Let s be -1 + 0/(-3 + 2) - t. Solve 4*g + s*g = 0 for g. 0 Let s be 1062/(-15)*120/36. Let w = 238 + s. Solve -w*p = -9*p + 7 for p. 1 Let g = -44 + 79. Suppose -2*f + g = -13. Let u = f - 12. Solve u = 4*s - s for s. 4 Suppose 0 = 105*s - 60*s - 2475. Solve 77 = 11*x + s for x. 2 Suppose -20*l = -3*x - 24*l + 119, -229 = -5*x + l. Let v = x + -35. Solve -4*k + 30 = v for k. 5 Let m = 488 + -232. Let g be -6 + m/44 + 266/11. Solve -15 = 21*h - g*h for h. 5 Let l(b) = -2*b**3 + 20*b**2 - 12*b - 37. Le
{ "pile_set_name": "DM Mathematics" }
Let z(s) = -s**2 - 82. Let y be z(0). Let a = -12 - -20. What is the common denominator of a and 4/(-18)*y/(-4)? 9 Let s(v) = v**3 - 3*v**2 + 2*v + 3. What is the lowest common multiple of s(4) and 30? 270 Suppose d + 21 = 2*w + 2, w + 8 = 4*d. Let f(s) = 12*s**2. Let n be 1*-1*(-4)/(-4). Calculate the least common multiple of f(n) and w. 12 Let o = -393 - -599. Let a = o + -485/2. Find the common denominator of 29/16 and a. 16 Suppose 2 = -q + 8. Let w be ((-4)/(-10))/(2/(-10)). Let v = w - -4. Calculate the least common multiple of v and q. 6 Let l(d) = -d**3 + 2*d**2 + 18*d - 7. What is the smallest common multiple of l(5) and 10? 40 Let h = 6383/4 - 1616. Calculate the common denominator of h and -57/2. 4 Let w = 2 - 3. Find the common denominator of 32/3 and (-2)/w - (-300)/(-8). 6 Let l be -166*2/(-28) - 2. Let y be (0 + 0 - -8) + 2. Let n = y - l. Find the common denominator of 20/9 and n. 63 Suppose 3*z - 37 = 5*w, 5 = 5*w - 6*w. Calculate the lowest common multiple of z and 40. 40 Suppose 6*v = v. Suppose 3*o = -b - 7, v = b + 3*o - 4*o + 15. Calculate the common denominator of -59/6 and b. 6 Let h(m) = -m**2 + 7*m - 7. Let t be h(6). Calculate the common denominator of t + (150/(-16))/(-5) and (-1 - 0) + 23/4. 8 Let n(c) = -c**2 + 6*c - 12. Let a be n(6). What is the lowest common multiple of (3 - 2)/(-1) - a and 2? 22 Let g(v) = 2*v + 19. Let t be g(-14). What is the common denominator of 1/(-8)*(-852)/t and -47/11? 66 Suppose -10*z + 13*z - 27 = -2*u, 4*u + z = 59. What is the lowest common multiple of 108 and u? 540 Let a = 696/59 - 415630/35223. Let j = a + 23299/4776. What is the common denominator of j and -5/22? 88 Let f = 7 + -13. What is the common denominator of f/(-24) + (-206)/(-56) and 0/(-3) - (-26)/(-28)? 14 Let w = -205/3 - -71. Calculate the common denominator of w and (-1)/4*(-89)/2. 24 Let s be 2 + (-3 - (-6 - -2)). Suppose -2*b = -b + 3*g - 30, -s*b - 3*g + 66 = 0. What is the least common multiple of 20 and b? 180 Let o = 1625/2 - 763. Let t = o + -387/8. Calculate the common denominator of 21/10 and t. 40 What is the lowest common multiple of ((-8)/(-10))/(3/15) and 22? 44 Calculate the common denominator of 4 + -4 - (-18)/4 and -18/7. 14 Let q(n) = -n**3 - 6*n**2 - n - 2. Let t be ((-4)/(-6))/((-1)/9). Let d be q(t). What is the lowest common multiple of 6 and 1/d + 86/8? 66 Suppose 0 = -i - o - 17 - 7, -62 = 3*i + o. Let k = 27 + i. What is the lowest common multiple of k and 0/4 + 15 + 7? 88 Suppose -5*i = 38 - 158. Let s be 3/i*204234/(-5). Let c = 5110 + s. Calculate the common denominator of -149/12 and c. 60 Let v(r) = -r**2 - 3*r + 8. Let o be v(-6). Let u(s) = 177*s + 12. Let d be u(o). Find the common denominator of (-4)/18 + d/108 and -39/4. 4 Let r = 28144941387/7868584 - -1/983573. Let p = r + -3585. Find the common denominator of -23/8 and p. 8 Let v be 2426/(-1976) - (-14)/(-91). Let z be 4/(-114)*(-2979)/4. Let o = z + v. Find the common denominator of 59/4 and o. 4 Let n = -3735 + 59689/16. Let m = -282 + 3413/12. Calculate the common denominator of n and m. 48 Let u(x) = x**3 - 2*x**2 - x - 3. What is the least common multiple of 9 and u(3)? 9 Suppose 0 = 4*j - 28 - 4. Calculate the lowest common multiple of 11 and j. 88 Let k = -2/101 - 3935/202. Let t(m) = 37*m - 1. Let i be t(1). Calculate the common denominator of 58/i + 2/3 and k. 18 Let j = -155 + 166. What is the lowest common multiple of j and 65? 715 Find the common denominator of (-8)/10 - (-341)/70 and -81/8. 56 Let n = 4 - 1. Let v be (6 - n)*(-4)/(-3). Calculate the common denominator of 2/5 and ((-3)/v - -2) + 0. 20 Let b = 8/519 - 5906/1557. Let i be 2/(-3) + (-16718)/(-3864). Let u = i - -5/92. What is the common denominator of u and b? 63 Let b = -583 - -4655/8. Find the common denominator of b and -22. 8 Suppose 2*o - 2*t = 3*o - 3, 2*t = 4*o - 22. Suppose 2*f = 0, -o*f = 3*b - 2*b - 32. Calculate the lowest common multiple of 12 and b. 96 Let o(z) = z**3 + 4*z**2 - 5*z. Let r be o(-5). Suppose 0 = 3*k - k - 2, 2*n - k + 151 = r. Find the common denominator of 67/20 and (-2)/(-20)*n/(-2). 20 Suppose -w + 4*w = 9. Let r(n) = -4*n - 2. Let p be r(w). What is the smallest common multiple of 21/p*1*-2 and 8? 24 Let d = 1/1524 + -59447/16764. Find the common denominator of -85/2 and d. 22 Let l be (-1 - -1 - -3)*1. Suppose -l*f + 3*j + 87 = -0*f, 3*f = -3*j + 63. Suppose -2*r + f = 5. What is the smallest common multiple of 9 and r? 90 Let w = 6 - 4. Suppose w*f = f. Calculate the common denominator of 71/2 and (-147)/30 - f - -1. 10 Let b(a) = -a**2 - 5*a - 2. Let n be b(-3). Let k be (-45)/(-10) + (-2)/n. Suppose -k*u = -9*u + 35. Calculate the least common multiple of u and 6. 42 Suppose 0 = -4*q + 32 + 12. What is the smallest common multiple of q and (-6)/(-33) - (-756)/77? 110 Let c(m) = -m**3 + m - 25. Let q be c(0). Suppose v + 4*k = -4*v + 92, -22 = -v + k. Calculate the least common multiple of (-5)/(-2)*(-80)/q and v. 40 What is the common denominator of (-81 + 2)*(-7)/(-14) and -4/3? 6 Let z = 992 - 17939/18. Calculate the common denominator of z and 1/90. 90 Calculate the common denominator of 3/3 + (-444)/244 and 1/6. 366 Suppose 0 = 4*a + 16, -2*a = w - 2913 + 445. Let r = -24661/10 + w. Find the common denominator of 19/8 and r. 40 What is the common denominator of 137/12 and ((-88)/80)/(12/130)? 12 Let x = -119/3 + 713/21. Calculate the common denominator of (59/(-3))/(16/(-6)) and x. 56 Calculate the smallest common multiple of 2 and ((-14)/(-14))/((-2)/(-28)). 14 Let l = 31 + -27. What is the smallest common multiple of 12 and l? 12 Suppose 0 = -6*z + 5*z + 10. What is the least common multiple of 7 and z? 70 Calculate the common denominator of (-1659)/539 + (-2)/7 and 14. 11 Let n = 4 - -6. Let m be 4/(-6) + (-12)/(-18). What is the lowest common multiple of n and 1 + (8 + m - 2)? 70 Let w(x) be the second derivative of 4*x**3/3 + x**2/2 + 4*x. What is the lowest common multiple of w(1) and 1? 9 Let u(k) = 4*k + 1. Let p be u(-1). Calculate the common denominator of -31/6 and p*((-90)/8 + 3). 12 Suppose -r + 16 = 5*v, 86 = 3*r - 4*v - 0*v. Calculate the least common multiple of 10 and r. 130 Let v be 6/14*(-96)/54. Let m = -40810 + 1714135/42. Let j = m - v. Calculate the common denominator of j and -23/12. 12 Let n(s) = 2*s. What is the lowest common multiple of 4 and n(1)? 4 Let k = 136/19 - 751/304. Let v be 2/(-4)*8677/230. Let b = -412/23 - v. What is the common denominator of b and k? 80 Let z be (36/12)/(6/10). Suppose -68 = -z*b + 4*c, 0 = -b - 2*b + c + 45. What is the lowest common multiple of b and 8? 16 Suppose 0 = -3*x - 0 + 3. Let v(b) = b**3 + 3*b**2 - 11*b - 5. Let l be v(-5). Suppose l = -6*m + 10*m - 40. Calculate the smallest common multiple of m and x. 10 Suppose -25 = -5*s - 0*f - 5*f, -2*s + 5*f + 31 = 0. Let w = -66 - -124. Suppose -5*n = -w + 18. What is the smallest common multiple of s and n? 8 Let t = 61/342 + -2/171. Find the common denominator of t and -47/18. 18 Let z(n) = 3*n - 3. Let l be z(7). Let b = l - 13. Calculate the smallest common multiple of b and 8. 40 Let d(g) be the third derivative of -5/24*g**4 + 0*g + 2/15*g**5 - 3/2*g**3 + 0 + 1/120*g**6 - 2*g**2. Find the common denominator of d(-8) and 95/4. 4 Let g be 3/(-6)*2 + -14. Let h = -8 - g. What is the smallest common multiple of h and 7? 7 Let t = 35 + -26. Calculate the least common multiple of 1 and t. 9 Suppose -a + 65 = -2*p, -4*a = -p - 8*a - 10. What is the common denominator of 17/8 and p? 8 Let b = -23 + -2. Let a = -4 - 7. Let i = a - b. What is the least common multiple of 10 and i? 70 Suppose 70 = -b + 6*b. Let a(k) = -k**3 - 7*k**2 - 10*k + 4. Calculate the lowest common multiple of a(-5) and b. 28 Let f be (-2)/(80/41 + -2). Let p = -19 + f. Calculate the smallest common multiple of 12 and p. 132 Suppose 5*w + 17 = 2, -2*w = 3*p - 21. Suppose -2*c - 3 = -9. What is the least common multiple of p and c? 9 Suppose -3*w = -11 - 16. Calculate the common denominator of 29/18 and w/(-18) + (-38)/32. 144 Suppose -4*g + 20 = 0, 0 = -k - g + 2 + 11. Calculate the least common multiple of 18 and k. 72 Let i = -443131/22 - -20138. Let u = 63639/11260 - 1/563. Calculate the common denominator of i and u. 220 Le
{ "pile_set_name": "DM Mathematics" }
453846, 806849, 1260722? f**3 + 50423*f**2 + 5*f - 3 What is the h'th term of -3718, -8606, -14662, -21880, -30254, -39778? h**3 - 590*h**2 - 3125*h - 4 What is the c'th term of -61828824, -61828819, -61828814, -61828809? 5*c - 61828829 What is the z'th term of 304600, 304498, 304396, 304294, 304192, 304090? -102*z + 304702 What is the r'th term of 109892, 439632, 989198, 1758590, 2747808, 3956852, 5385722? 109913*r**2 + r - 22 What is the k'th term of -378582, -756859, -1135136, -1513413, -1891690, -2269967? -378277*k - 305 What is the q'th term of -955549, -3822432, -8600647, -15290194, -23891073? -955666*q**2 + 115*q + 2 What is the x'th term of 48062754, 48062755, 48062756? x + 48062753 What is the o'th term of -123261, -246628, -369995? -123367*o + 106 What is the r'th term of -11463010, -22926024, -34389038? -11463014*r + 4 What is the u'th term of 195312, 198043, 205464, 219921, 243760? 391*u**3 - u**2 - 3*u + 194925 What is the a'th term of -910904, -1821808, -2732714, -3643622, -4554532, -5465444, -6376358? -a**2 - 910901*a - 2 What is the v'th term of -3902, -3988, -4172, -4454? -49*v**2 + 61*v - 3914 What is the x'th term of 411661, 411672, 411691, 411718, 411753, 411796, 411847? 4*x**2 - x + 411658 What is the b'th term of 4929381, 9858879, 14788391, 19717923, 24647481? b**3 + b**2 + 4929488*b - 109 What is the r'th term of 558961, 2235377, 5029403, 8941039? 558805*r**2 + r + 155 What is the t'th term of 3689, 15601, 35733, 64085, 100657, 145449, 198461? 4110*t**2 - 418*t - 3 What is the g'th term of 53893646, 107787292, 161680940, 215574590, 269468242, 323361896? g**2 + 53893643*g + 2 What is the l'th term of 13229, 13101, 12971, 12839, 12705, 12569? -l**2 - 125*l + 13355 What is the y'th term of 7318, 14298, 21272, 28240, 35202, 42158? -3*y**2 + 6989*y + 332 What is the b'th term of -2614992431, -2614992430, -2614992429, -2614992428, -2614992427, -2614992426? b - 2614992432 What is the p'th term of 249, 1649, 5289, 12279, 23729? 185*p**3 + 10*p**2 + 75*p - 21 What is the b'th term of -13816, -110459, -372776, -883603, -1725776, -2982131, -4735504, -7068731? -13806*b**3 - b**2 + 2*b - 11 What is the d'th term of 3888, 7685, 11624, 15777, 20216, 25013, 30240, 35969? 12*d**3 - d**2 + 3716*d + 161 What is the x'th term of 6662, 13592, 20522, 27452, 34382, 41312? 6930*x - 268 What is the p'th term of -1798982, -1798991, -1798998, -1799003, -1799006? p**2 - 12*p - 1798971 What is the c'th term of -852, -869, -1172, -1905, -3212? -24*c**3 + c**2 + 148*c - 977 What is the d'th term of -4214, -16340, -36408, -64418? -3971*d**2 - 213*d - 30 What is the s'th term of 12858793, 25717571, 38576349? 12858778*s + 15 What is the i'th term of 9893951, 9893937, 9893923, 9893909? -14*i + 9893965 What is the a'th term of -4030, -11748, -24604, -42598, -65730? -2569*a**2 - 11*a - 1450 What is the f'th term of -555, -2431, -6007, -11667, -19795, -30775? -64*f**3 - 466*f**2 - 30*f + 5 What is the a'th term of -11826, -23646, -35436, -47184, -58878? 2*a**3 + 3*a**2 - 11843*a + 12 What is the x'th term of 81858124, 81858130, 81858136, 81858142, 81858148, 81858154? 6*x + 81858118 What is the k'th term of 263446, 263621, 263796? 175*k + 263271 What is the u'th term of -41197, -41174, -41149, -41122, -41093, -41062, -41029? u**2 + 20*u - 41218 What is the y'th term of -781760, -781759, -781758? y - 781761 What is the s'th term of 976131, 976156, 976191, 976236? 5*s**2 + 10*s + 976116 What is the q'th term of 630, 3657, 8680, 15699, 24714, 35725, 48732? 998*q**2 + 33*q - 401 What is the s'th term of 318, 2772, 9426, 22380, 43734, 75588, 120042, 179196? 350*s**3 + 4*s - 36 What is the k'th term of 977317, 1954656, 2931995, 3909334? 977339*k - 22 What is the d'th term of 9820, 8799, 7092, 4693, 1596, -2205, -6716, -11943? -d**3 - 337*d**2 - 3*d + 10161 What is the g'th term of -9146, -8807, -8462, -8111, -7754, -7391? 3*g**2 + 330*g - 9479 What is the j'th term of -401365, -803119, -1204863, -1606591, -2008297? j**3 - j**2 - 401758*j + 393 What is the l'th term of -800843, -1601679, -2402507, -3203327? 4*l**2 - 800848*l + 1 What is the l'th term of -20046, -40058, -60070, -80082, -100094? -20012*l - 34 What is the n'th term of 81856, 163754, 245690, 327670, 409700, 491786, 573934? n**3 + 13*n**2 + 81852*n - 10 What is the k'th term of 562785, 562782, 562785, 562794, 562809, 562830, 562857? 3*k**2 - 12*k + 562794 What is the x'th term of 22339, 44290, 66237, 88180, 110119, 132054, 153985? -2*x**2 + 21957*x + 384 What is the c'th term of 12717288, 12717280, 12717272, 12717264? -8*c + 12717296 What is the c'th term of 40238802, 40238803, 40238804, 40238805, 40238806? c + 40238801 What is the x'th term of 342693, 342710, 342727? 17*x + 342676 What is the v'th term of -1462, -1841, -2220, -2599? -379*v - 1083 What is the u'th term of 28649177, 57298361, 85947545, 114596729? 28649184*u - 7 What is the r'th term of -1410815, -2821613, -4232411, -5643209, -7054007, -8464805? -1410798*r - 17 What is the s'th term of 54035, 54486, 54973, 55502, 56079, 56710, 57401, 58158? s**3 + 12*s**2 + 408*s + 53614 What is the x'th term of -10111, -17866, -25621, -33376, -41131, -48886? -7755*x - 2356 What is the x'th term of 62416, 499178, 1684506, 3992626, 7797764, 13474146, 21395998? 62371*x**3 + 57*x**2 - 6*x - 6 What is the m'th term of 10317, 10476, 10741, 11112, 11589, 12172, 12861? 53*m**2 + 10264 What is the m'th term of 611362, 1221897, 1832432? 610535*m + 827 What is the r'th term of 193664, 193631, 193538, 193355, 193052, 192599, 191966, 191123? -5*r**3 + 2*r + 193667 What is the g'th term of 17498666, 34997358, 52496048, 69994736, 87493422? -g**2 + 17498695*g - 28 What is the u'th term of -17826176, -35652337, -53478498, -71304659, -89130820? -17826161*u - 15 What is the n'th term of 12016, 12307, 12594, 12877, 13156, 13431? -2*n**2 + 297*n + 11721 What is the a'th term of 2386963, 2387120, 2387277, 2387434, 2387591, 2387748? 157*a + 2386806 What is the d'th term of -4626429, -18505638, -41637643, -74022438, -115660017, -166550374, -226693503? d**3 - 4626404*d**2 - 4*d - 22 What is the m'th term of -508648, -2034392, -4577298, -8137366, -12714596, -18308988, -24920542? -508581*m**2 - m - 66 What is the c'th term of -701258, -1401843, -2102428, -2803013, -3503598, -4204183? -700585*c - 673 What is the r'th term of -155767, -311495, -467223, -622951, -778679, -934407? -155728*r - 39 What is the k'th term of -38665, -154748, -348215, -619066, -967301, -1392920, -1895923? -38692*k**2 - 7*k + 34 What is the i'th term of 1420644, 1420381, 1420122, 1419867, 1419616, 1419369? 2*i**2 - 269*i + 1420911 What is the h'th term of 89, 939, 3373, 8183, 16161, 28099? 132*h**3 - 74*h + 31 What is the m'th term of -3491, -16063, -37013, -66347, -104071, -150191, -204713? -m**3 - 4183*m**2 - 16*m + 709 What is the c'th term of 262, 553, 878, 1249, 1678, 2177, 2758, 3433? 2*c**3 + 5*c**2 + 262*c - 7 What is the j'th term of 123751, 247339, 370925, 494509, 618091, 741671? -j**2 + 123591*j + 161 What is the f'th term of 31380686, 31380684, 31380682? -2*f + 31380688 What is the y'th term of 8301, 32807, 73629, 130761, 204197, 293931, 399957? -y**3 + 8164*y**2 + 21*y + 117 What is the y'th term of 36044, 144085, 324136, 576203, 900292, 1296409? y**3 + 35999*y**2 + 37*y + 7 What is the l'th term of 72610, 145442, 218274, 291106, 363938, 436770? 72832*l - 222 What is the y'th term of -5043, -15294, -25545, -35796? -10251*y + 5208 What is the n'th term of -1899, -3729, -5497, -7167, -8703, -10069, -11229? 6*n**3 - 5*n**2 - 1857*n - 43 What is the t'th term of -103178, -206100, -309022, -411944, -514866, -617788? -102922*t - 256 What is the j'th term of -9053281, -18106523, -27159763, -36213001, -45266237, -54319471, -63372703? j**2 - 9053245*j - 37 What is the h'th term of 57499, 57671, 57853, 58051, 58271, 58519, 58801? h**3 - h**2 + 168*h + 57331 What is the a'th term of 20768, 20575, 20382? -193*a + 20961 What is the n'th term of -14733, -17177, -19621, -22065, -24509, -26953? -2444*n - 12289 What is the b'th term of 1867, -160, -2177, -4184, -6181, -8168? 5*b**2 - 2042*b + 3904 What is the x'th term of -20385238, -40770483, -61155728, -81540973, -101926218, -122311463? -20385245*x + 7 Wha
{ "pile_set_name": "DM Mathematics" }
Let s(m) = 2*m**2 + 3*m + 9. Calculate 3*h(b) - 2*s(b). -b**2 + 3*b + 6 Let f(b) = 154*b. Let a(t) = 415*t + 1. Determine 2*a(n) - 7*f(n). -248*n + 2 Let i(z) = z**3 + 6*z**2 - 6*z + 8. Let r be i(-7). Let t(k) = 6*k. Suppose 152*s - 970 = 147*s. Let d(c) = 395*c + 1 - s*c - 202*c. What is r*t(n) + 4*d(n)? 2*n + 4 Let w(y) = y + 1. Let s(n) = 4*n - 12. Suppose -39*f + 146 = 7*f + 100*f. Give f*s(u) - 3*w(u). u - 15 Let q(g) = -585*g**3 + 54*g**2 + 2*g - 14. Let d(x) = -293*x**3 + 30*x**2 + x - 8. Determine 9*d(p) - 5*q(p). 288*p**3 - p - 2 Let m(k) = 1. Let b(g) = -3 + 1 - g - 1. Let f(h) be the third derivative of 7*h**4/12 + 43*h**3/6 + 72*h**2. Let s be f(-3). What is s*b(r) + 2*m(r)? -r - 1 Let v(i) = -159*i**2 - 2640*i. Let l(u) = -136*u**2 - 2639*u. Calculate -7*l(t) + 6*v(t). -2*t**2 + 2633*t Let g(m) = -11*m**2 + m - 3. Let s(k) = 7*k**2 - 19*k + 16. Calculate g(d) + s(d). -4*d**2 - 18*d + 13 Let j(i) = -i + 1. Let t(y) = -7*y - 4. Let c be 168/924 + (-1)/22*-18. Calculate c*t(d) + 4*j(d). -11*d Let b(f) = -5*f**2 + 2*f + 593. Let o(j) = 7*j**2 - 3*j - 889. Calculate -10*b(t) - 7*o(t). t**2 + t + 293 Let o(m) be the first derivative of 3*m**4/4 - 2*m - 9. Let v(k) = 2 - 5*k**2 + 31*k**3 - 70*k**3 + 5*k**2 + 36*k**3. Give 2*o(z) + 3*v(z). -3*z**3 + 2 Let d(n) = -391*n**3 + 3*n - 27. Let i(q) = -194*q**3 + 2*q - 12. Determine 4*d(j) - 9*i(j). 182*j**3 - 6*j Let h(a) = 6*a**3 + 3*a**2. Suppose -o = 4*j - 3562, 0*o + 896 = j + 3*o. Let l(w) = -4*w - w**2 + 4*w - 891*w**3 + j*w**3. Calculate h(g) + 5*l(g). g**3 - 2*g**2 Let a(x) = 12*x + 6. Suppose 0 = v - 3*n + 6, 3*n + 29 = -2*v + 53. Let b = -57 - -58. Let u(m) = -m - 1. What is b*a(k) + v*u(k)? 6*k Let k(l) = -86 + 72 - 66*l + 64*l. Let j(u) = 1. Calculate -12*j(w) - k(w). 2*w + 2 Let n(k) = 44*k**3 - 70*k**2 - 8*k + 6. Let z(u) = 14*u**2 + u - 2. Let f(o) = n(o) + 5*z(o). Let c(t) = 133*t**3 - 8*t - 11. What is 3*c(p) - 8*f(p)? 47*p**3 - 1 Let y(n) = 19 + 20 + 22 + 158*n - 61 - 169*n + 2*n**2. Let k(m) = m. Let r = 46 + -24. Let b(f) = -f**2 - 6*f + 9. Let w be b(-7). Determine r*k(o) + w*y(o). 4*o**2 Let w(n) = -6 + 21 - 15 - n**2. Let p(a) = 8*a**2. Let v(s) = -2*s. Let b(k) = -3*k. Let i(x) = 5*b(x) - 8*v(x). Let r be i(2). Calculate r*p(f) + 14*w(f). 2*f**2 Let z = 589 - 307. Let y = z + -277. Let r(j) = -2*j - 4. Let n(i) = 3*i + 6. Calculate y*n(m) + 8*r(m). -m - 2 Let g(n) = -n**2 - 4*n - 181. Let a(d) = -d**2 - 11*d - 497. Let s(z) = 4*a(z) - 11*g(z). Let q(c) = 2 + 4*c**2 + 6 + 17*c**2. Give 3*q(r) - 8*s(r). 7*r**2 Let w(s) = 2*s**3 - 8*s + 2. Let u(d) = -8*d**3 + 32*d - 9. Let h = 7255 + -7253. Give h*u(y) + 9*w(y). 2*y**3 - 8*y Let g = -22 + 7. Let m(s) = -s**3 - 14*s**2 + 17*s + 24. Let h be m(g). Let w(d) = 4*d**2 - 10*d + 10. Let z(j) = j**2 - 3*j + 3. Give h*w(x) + 20*z(x). -4*x**2 Let p(q) = -18*q - 435. Let v(c) = -318*c - 7395. Give -35*p(u) + 2*v(u). -6*u + 435 Let p(j) = 7*j**3 + j**2 + 31*j - 2. Let r(w) = 6*w**3 + 26*w - 2. Calculate 5*p(v) - 6*r(v). -v**3 + 5*v**2 - v + 2 Let f(p) = 11*p - 1. Let x = -2367 - -2360. Let w(c) = 32*c - 4. What is x*f(m) + 2*w(m)? -13*m - 1 Let u(v) = -3883*v**2 + 72*v + 176. Let h(x) = -863*x**2 + 16*x + 40. Give 22*h(z) - 5*u(z). 429*z**2 - 8*z Let k(p) = 7*p**2 + 4*p. Let m(j) = -68*j**2 + 2772*j. Determine -10*k(w) - m(w). -2*w**2 - 2812*w Let k(j) = 10*j + 8. Let p(u) = 6*u - 28 - 15*u + 21. Let d(g) = g**3 - 7*g**2 + 3*g + 8. Let n be d(6). Let x be (n/3 - -3)*-21. Determine x*p(a) + 6*k(a). -3*a - 1 Let a(u) = u**3 + 3*u**2 + 2*u + 1. Let v(k) = 991*k**3 - 9*k**2 - 12*k - 8. What is -6*a(z) - v(z)? -997*z**3 - 9*z**2 + 2 Let n(c) = 610*c - 18. Let q(h) = 901*h - 27. Give 7*n(b) - 5*q(b). -235*b + 9 Suppose -5*d + v = -85, 0 = -d - 124*v + 120*v + 17. Let u(z) = 23*z**2 + 39*z - 8. Let a(k) = 8*k**2 + 13*k - 3. Give d*a(y) - 6*u(y). -2*y**2 - 13*y - 3 Let k(h) = 284*h + 61. Let w(i) = -282*i - 53. What is 6*k(c) + 7*w(c)? -270*c - 5 Let v(u) = -53*u**3 + 2*u**2 - 5*u + 3*u**2 - 61*u**3 + 103*u**3. Let f(y) = -12*y**3 - y - 5*y + 7*y**2 - y**2. Determine -5*f(w) + 6*v(w). -6*w**3 Let p(s) be the first derivative of -s**2/2 + 1638. Let a be 6/14 + 96/(-28). Let m(h) = -h. Calculate a*p(i) + m(i). 2*i Let j(o) = 35*o - 213. Let h(x) = 12*x - 71. Give 8*h(v) - 3*j(v). -9*v + 71 Let b(m) = 0*m**2 - 6*m**2 + m - m. Let j(x) = -46*x**2 - 44*x**2 + 168*x**2 - 41*x**2 - 49*x**2. Determine -11*b(t) + 6*j(t). -6*t**2 Let h(m) = 2*m**2 - m - 5. Let v(z) = -2*z**2 + 2*z + 6. Let t(u) = -9*u + 87. Let o be t(10). Let a be (10/3)/((-2)/o). Calculate a*v(x) + 6*h(x). 2*x**2 + 4*x Let n(f) = -256*f**3 + 21*f**2 + 8*f + 56. Let z(d) = 1023*d**3 - 85*d**2 - 33*d - 231. Give -33*n(p) - 8*z(p). 264*p**3 - 13*p**2 Let n(m) = 4*m**2 + 183*m - 3. Let u(c) = -c**2 + 2*c + 2. Determine -n(z) - 2*u(z). -2*z**2 - 187*z - 1 Let n(i) = i**2 + 2*i + 2. Let v(k) = k**2 + 3*k + 4. Let z = -13 - -8. Let a(j) = 86*j + 1551. Let w be a(-18). Give w*v(r) + z*n(r). -2*r**2 - r + 2 Let l(n) = -2*n**3 - n**2 + 5*n. Suppose 0 = 2*b - 36 + 38. Suppose 10 = -54*k - 98. Let h(a) = -a. What is b*l(r) + k*h(r)? 2*r**3 + r**2 - 3*r Let l(r) = -21*r**3 + 5*r**2 - 9*r. Let q be 3*((-21)/14)/(9/4). Let w(c) = -5*c**3 + c**2 - 2*c. Calculate q*l(u) + 9*w(u). -3*u**3 - u**2 Let s(b) = 36*b**2 - 30. Let c(g) = g**2 - 1. Let o = 223 + -232. Let f be o/3*(2 - 3) - -27. Give f*c(y) - s(y). -6*y**2 Let i(w) = 3. Let m(u) = u**3 - 5. Let h be (8/88 - 3/33) + 3. Give h*m(k) + 5*i(k). 3*k**3 Suppose 5*j + 0 = -10. Suppose -r - 4*r - 40 = 0. Let c be 0/(6 + j) - r/2. Let q(p) = p**2. Let w(d) = 6*d**2. Calculate c*q(k) - w(k). -2*k**2 Let v = 17066 - 17060. Let p(d) = 10*d + 9. Suppose 0 = -8*i + 3*i + 55. Let h(o) = -5*o - 5. Give i*h(x) + v*p(x). 5*x - 1 Let h(i) be the first derivative of i**3/3 + i - 41993. Let z(v) be the first derivative of 4*v**3 + 7*v + 2. What is -14*h(q) + 2*z(q)? 10*q**2 Let y(k) = 4*k - 9. Let a(s) = -s + 3. Let f(u) = -5*u + 17. Let q(p) = -6*a(p) + f(p). What is 18*q(i) - 2*y(i)? 10*i Let l(x) = -26*x**3 - 110*x**2 + 7*x + 4. Let k(f) = -19*f**3 - 73*f**2 + 5*f + 3. Give 7*k(j) - 5*l(j). -3*j**3 + 39*j**2 + 1 Let m(d) = 4*d + 5. Suppose r + 2 = 3*x - 5, 3*r + 4*x = 18. Let c be r/6*3 + 2. Let q(n) = -3*n + 3*n + 4 + c*n. Determine -4*m(g) + 5*q(g). -g Let c(s) = -3*s**3 - 42*s**2 - 21*s + 9. Let r(m) = -m**3 - 43*m**2 - 20*m + 6. Give 2*c(j) - 3*r(j). -3*j**3 + 45*j**2 + 18*j Suppose -2*p - 52 = -5*l + p, 8*l - 76 = 4*p. Let v(u) = -u**2 - u - 1. Let a(c) = -9*c**2 - 3*c - 4. Calculate l*v(k) - a(k). 4*k**2 - 2*k - 1 Let v(r) = -4*r + 1006. Let f(d) = -3*d + 503. Give -5*f(n) + 3*v(n). 3*n + 503 Suppose -528 + 456 = -8*q - 16*q. Let h(c) = -4*c**2 + c + 1. Let l(y) = 4*y**2 - 2*y - 1. Give q*h(u) + 2*l(u). -4*u**2 - u + 1 Let g(n) = -177*n + 427. Let r(t) = -59*t + 130. Determine 2*g(v) - 7*r(v). 59*v - 56 Let k(o) = 1774*o**3 + 6*o**2 - 8*o. Let w(v) = 1774*v**3 + 9*v**2 - 12*v. What is -3*k(n) + 2*w(n)? -1774*n**3 Let m(d) = -d. Let w(k) = 184*k - 71*k - 59*k - 89*k. Calculate 2*m(f) - w(f). 33*f Let n(u) be the first derivative of 3*u**4/4 + u**3 + 3*u - 21. Suppose -3*h - 2 = -11. Let t(m) = -7 - 7*m**2 - 5*m**3 - m**h + 0. Calculate -7*n(k) - 3*t(k). -3*k**3 Let p(v) = -769*v**2 - 12*v - 8. Let t(z) = 770*z**2 + 10*z + 7. Give 4*p(i) + 5*t(i). 774*i**2 + 2*i + 3 Let g(b) = 7*b - 650. Let c(n) = 11*n - 1303. Give 3*c(q) - 5*g(q). -2*q - 659 Let b(r) = -2*r**2 - 3*r. Let c(l) = -l**3 + 289*l**2 + 9*l. What is 3*b(p) + c(p)? -p**3 + 283*p**2 Let m(r) = -52 + 18 - 32*r + 11. Let p(c) = 15*c + 10. Let j(d) = -2*m(d) - 5*p(d). Let b(x) = 56*x + 21. Calculate 4*b(u) + 21*j(u). -7*u Let v(g) = -19*g**3 + 161*g**2 - 12*g - 4. Let o(j) = -40*j**3 + 320*j**2 - 27*j - 9. Calculate 4*o(u) - 9*v(u). 11*u**3 - 169*u**2 Let g(d) = -17*d**3 - 8*d**2 - 2. Let i(h) = 31*h**3 + 16*h**2 + 3. Give 5*g(z) + 3*i(z). 8*z**3 + 8*z**2 - 1 Let d be (((-21)/2 - -3)*124/(-186))/(-1). Let h(u) = 5*u - 11. Let m(b) be the second derivative of b**3 - 6*b**2 + 2*b. Give d*h(w) + 4*m(w). -w + 7 Let r(y) = -119*y**3 + 43*y**2 - 37*y. Let d(z) = 59*z**3 - 21*z**2 + 20*z. What is 11*d(q) + 6*r(q)? -65*q**3 + 27*q**2 - 2*q Let n(f) = -13*f - 14*f + 4*f. Let k(v) be the third derivativ
{ "pile_set_name": "DM Mathematics" }
ounded to zero decimal places? -30 Round -235.6 to the nearest ten. -240 What is 136400 rounded to the nearest 10000? 140000 What is 0.00099 rounded to four dps? 0.001 Round -0.000028642 to seven decimal places. -0.0000286 What is -0.15365 rounded to three dps? -0.154 What is -2074 rounded to the nearest 1000? -2000 What is -0.0001624 rounded to six decimal places? -0.000162 Round 94000 to the nearest one million. 0 Round -0.0705 to 3 dps. -0.071 What is -584.6 rounded to the nearest ten? -580 Round 0.00000083708 to seven dps. 0.0000008 Round -0.0053 to three dps. -0.005 Round -8.458 to zero dps. -8 What is -4.3537 rounded to two decimal places? -4.35 What is 0.00003561 rounded to five dps? 0.00004 What is 0.0000085435 rounded to six decimal places? 0.000009 Round -0.00005056 to 6 decimal places. -0.000051 What is 11946 rounded to the nearest one thousand? 12000 What is 0.01983 rounded to three dps? 0.02 What is 0.0000654 rounded to 5 dps? 0.00007 What is 7766 rounded to the nearest one thousand? 8000 What is -942.9 rounded to the nearest one hundred? -900 What is 84606000 rounded to the nearest 1000000? 85000000 Round -0.2594 to one dp. -0.3 Round 0.000040693 to 6 decimal places. 0.000041 Round 8038 to the nearest one thousand. 8000 What is -0.001507 rounded to 4 dps? -0.0015 Round 0.0001844 to four dps. 0.0002 Round 4702 to the nearest one thousand. 5000 What is -518.01 rounded to the nearest 10? -520 What is 192.6 rounded to the nearest ten? 190 What is 2753 rounded to the nearest 1000? 3000 What is -3075600 rounded to the nearest ten thousand? -3080000 What is 0.00146172 rounded to four dps? 0.0015 Round -16.799 to one decimal place. -16.8 What is 35542200 rounded to the nearest 100000? 35500000 What is 3.08824 rounded to 2 decimal places? 3.09 What is 0.00121227 rounded to 5 dps? 0.00121 Round 605.9 to the nearest 10. 610 Round 102613 to the nearest one hundred. 102600 Round -71270 to the nearest one thousand. -71000 Round -0.05364 to two dps. -0.05 Round -12336100 to the nearest 100000. -12300000 What is 0.9287 rounded to two dps? 0.93 What is 15320000 rounded to the nearest one million? 15000000 Round -0.005716 to four dps. -0.0057 Round 7840 to the nearest one thousand. 8000 Round -3260 to the nearest 1000. -3000 What is 1120400 rounded to the nearest 100000? 1100000 What is 0.001125 rounded to four dps? 0.0011 What is -2930.9 rounded to the nearest 10? -2930 Round 0.00006841 to six dps. 0.000068 What is -0.02785 rounded to three decimal places? -0.028 What is -52500000 rounded to the nearest one million? -53000000 What is -123510 rounded to the nearest 1000? -124000 What is 2772 rounded to the nearest one thousand? 3000 What is -62.29 rounded to the nearest one hundred? -100 What is 0.0000005741 rounded to 7 decimal places? 0.0000006 What is 0.000461 rounded to four decimal places? 0.0005 What is 0.5198 rounded to one decimal place? 0.5 What is -108530000 rounded to the nearest one million? -109000000 Round -13.682 to one dp. -13.7 What is 11.094 rounded to one decimal place? 11.1 What is -0.0020019 rounded to five decimal places? -0.002 What is -14126000 rounded to the nearest 1000000? -14000000 What is -0.0000013378 rounded to 7 dps? -0.0000013 Round 0.000328 to five decimal places. 0.00033 Round -0.000911 to 4 dps. -0.0009 What is 5705.7 rounded to the nearest 100? 5700 Round 0.000060135 to 5 dps. 0.00006 Round 6804 to the nearest 100. 6800 Round -7408 to the nearest 1000. -7000 Round -82.62 to zero dps. -83 What is 132469000 rounded to the nearest 100000? 132500000 What is 0.00000462 rounded to six decimal places? 0.000005 Round -15.6999 to 0 decimal places. -16 What is -0.00156 rounded to three dps? -0.002 Round -41823000 to the nearest 1000000. -42000000 Round -1332600 to the nearest 100000. -1300000 Round -90.315 to the nearest integer. -90 What is -172600 rounded to the nearest 100000? -200000 Round -0.0000040803 to six dps. -0.000004 What is -6.658 rounded to zero decimal places? -7 What is 0.00000748 rounded to six decimal places? 0.000007 What is 2552400 rounded to the nearest one hundred thousand? 2600000 Round -117555 to the nearest 10000. -120000 What is -0.000009359 rounded to seven decimal places? -0.0000094 Round -4530 to the nearest 1000. -5000 What is 0.16805 rounded to 2 dps? 0.17 Round 0.00074 to 4 decimal places. 0.0007 Round 0.0000000006 to 6 decimal places. 0 What is 0.000981 rounded to 4 decimal places? 0.001 What is -0.0031913 rounded to five decimal places? -0.00319 What is -144.7 rounded to the nearest 10? -140 Round 0.00000067 to seven dps. 0.0000007 Round -1.09227 to two decimal places. -1.09 What is -982.78 rounded to the nearest 10? -980 Round -9280.8 to the nearest 100. -9300 Round -0.00102712 to six dps. -0.001027 What is 14.18 rounded to the nearest 10? 10 What is -2.586 rounded to the nearest integer? -3 Round -1.473 to 1 dp. -1.5 What is 8234000 rounded to the nearest one hundred thousand? 8200000 What is 0.0112 rounded to 3 decimal places? 0.011 What is 0.0003689 rounded to five dps? 0.00037 What is 336.1 rounded to the nearest 100? 300 Round -0.03415 to two dps. -0.03 Round -16144000 to the nearest one hundred thousand. -16100000 Round 8367.4 to the nearest ten. 8370 Round -0.003774 to 3 dps. -0.004 What is -2.59392 rounded to one decimal place? -2.6 What is -44056 rounded to the nearest one thousand? -44000 What is -1591800 rounded to the nearest 100000? -1600000 Round 9.6 to the nearest integer. 10 Round -1.449 to two dps. -1.45 What is 644000 rounded to the nearest 100000? 600000 What is 47684 rounded to the nearest 10000? 50000 What is -0.036938 rounded to four dps? -0.0369 Round 160420 to the nearest 1000. 160000 Round 7.222 to the nearest integer. 7 What is 0.00047476 rounded to six dps? 0.000475 Round 72.16 to zero decimal places. 72 What is -0.007256 rounded to three decimal places? -0.007 Round -773600 to the nearest ten thousand. -770000 What is 766 rounded to the nearest 10? 770 Round -45.81 to the nearest ten. -50 What is 1.535 rounded to the nearest integer? 2 Round -176770 to the nearest one thousand. -177000 What is 8139 rounded to the nearest one hundred? 8100 What is 0.0013787 rounded to 4 dps? 0.0014 What is 947300 rounded to the nearest 10000? 950000 What is 0.6135 rounded to one decimal place? 0.6 What is -0.000002221 rounded to 5 decimal places? 0 What is 0.011929 rounded to four dps? 0.0119 Round 0.000284716 to 6 dps. 0.000285 What is 0.4893 rounded to 1 decimal place? 0.5 What is 274000 rounded to the nearest 10000? 270000 Round 12570 to the nearest 100. 12600 What is 0.00036132 rounded to four decimal places? 0.0004 Round 351000 to the nearest one hundred thousand. 400000 Round 0.0394 to 3 dps. 0.039 What is 0.26403 rounded to 1 decimal place? 0.3 Round 0.0137331 to three dps. 0.014 Round 2.6947 to two decimal places. 2.69 What is 110.359 rounded to the nearest integer? 110 What is 2.6457 rounded to 2 dps? 2.65 Round 0.000059534 to five decimal places. 0.00006 Round -0.007859 to 3 dps. -0.008 Round -1.7735 to 0 dps. -2 What is 0.00001649 rounded to seven decimal places? 0.0000165 What is -11154.5 rounded to the nearest 10? -11150 What is -1033 rounded to the nearest 1000? -1000 Round 27.533 to one dp. 27.5 What is 2 rounded to the nearest ten? 0 What is 2145170 rounded to the nearest 10000? 2150000 Round 582000 to the nearest 10000. 580000 What is 0.01728 rounded to 2 decimal places? 0.02 What is -0.472 rounded to one decimal place? -0.5 What is 24070 rounded to the nearest 1000? 24000 What is -0.0002458 rounded to 6 decimal places? -0.000246 Round -55200 to the nearest one thousand. -55000 Round 24.45 to zero dps. 24 What is -654 rounded to the nearest 10? -650 What is -94800 rounded to the nearest ten thousand? -90000 What is 0.0014691 rounded to five decimal places? 0.00147 What is 13951 rounded to the nearest one thousand? 14000 What is 427810 rounded to the nearest one hundred thousand? 400000 What is -0.000109 rounded to 5 decimal places? -0.00011 Round -0.06854 to 2 decimal places. -0.07 Round 0.02235 to 3 decimal places. 0.022 What is -3.09 rounded to 1 decimal place? -3.1 What is 0.00996 rounded to 4 decimal places? 0.01 What is 0.00001206 rounded to six deci
{ "pile_set_name": "DM Mathematics" }
0.3, j, d, -5. -5, d, 0.3, j Let a be 394/197 + (-10 - 0 - 1) - -4. Sort a, -1, 3, -4, 5 in increasing order. a, -4, -1, 3, 5 Let a = -7968 + 7970. Let h(k) = -k**2 - k - 1. Let t be h(0). Suppose -2*v - 14 = 2*l, 5*l = 2*l + v - 13. Put l, 1, t, a in decreasing order. a, 1, t, l Let p(a) = 81*a + 406. Let y be p(-5). Sort 14, y, 25, 3, 2. y, 2, 3, 14, 25 Let k = -18 + 12. Let f = 0.062 - -26.938. Let x = 32 - f. Sort k, x, -5 in decreasing order. x, -5, k Let m be (-5 + (-145455)/240 - 2/(-32)) + -6. Sort m, 23, 0 in increasing order. m, 0, 23 Suppose 5*u + 3*c = 75, 2*c = 4*u - 5*u + 22. Suppose 5*m - 10*s + u*s + 24 = 0, -s + 2 = -m. Let j = 7 - 10. Sort m, -1, j in descending order. -1, j, m Suppose k + 2 = -2. Suppose 4*y + 166 = 2*c, -4*y + 8 = -0. Let b = 84 - c. Sort k, 0, b in ascending order. k, b, 0 Let q be (-1)/4 - (-39)/12. Let x be (-16)/4*q/(-12). Let s be (x/3)/(2/(-12)). Sort -4, 5, s. -4, s, 5 Let d = 48.2 - 48.35. Put -1/5, d, 0.2 in descending order. 0.2, d, -1/5 Let x = -26 - -27.4. Let w = x - 1.9. Let j = -638 - -643. Put w, -0.01, j in descending order. j, -0.01, w Let b = 7074/13 + -544. Suppose -3*a - 3*t + 2*t = 14, -2*t - 19 = 3*a. Sort 1/3, b, a, -14 in descending order. 1/3, b, a, -14 Let w = 3804/11 - 19064/55. Put -0.3, -3, 1/8, w in decreasing order. 1/8, -0.3, w, -3 Let n be 9/((-4)/(332/(-1))). Let o = 747 - n. Let v = 4 + -12. Sort 2, 4, o, v in ascending order. v, o, 2, 4 Let d(r) = -3*r. Let g be d(-5). Let y be (g/(-9))/((-1)/3). Let z = 392.6 + -393. Sort y, z, 0.2. z, 0.2, y Suppose -13*m = -8*m + w - 282, 5*m = -3*w + 276. Sort -1/5, m, -0.3 in increasing order. -0.3, -1/5, m Let r be (25/((-75)/6))/14. Sort 0.6, r, 2, -0.06 in decreasing order. 2, 0.6, -0.06, r Let j be (1710/(-133))/(3/(-28)). Let h be 225/j + 3/24. Sort 5, h, -32. -32, h, 5 Let i = 164 + -160. Let x be i + (-3)/((-27)/(-40)). Let a be 8/(-15) + 10/25. Sort x, a, -3, 10 in ascending order. -3, x, a, 10 Suppose -21*c + 207 = 144. Suppose 0 = -0*d + 3*d - 4*d. Put d, -3, 5, c in increasing order. -3, d, c, 5 Suppose 4*a + 19 - 3 = 0. Let g(k) = -k**2 + 2*k. Let s be g(-3). Let i be (0 + 6/15)*s/6. Put -5, i, a in increasing order. -5, a, i Suppose y - 7 - 17 = 0. Let w be 3/y - 1/4. Let m be -4 + (-20)/(-10) + 2/(-2). Put 15, w, m in descending order. 15, w, m Let g(d) = d**3 + 9*d**2 + 7*d - 8. Let y(b) = -b**2 + 2*b. Let z be y(4). Let s be g(z). Let a = 1038 + -1037.6. Sort -2, 2, s, a in descending order. 2, a, s, -2 Let b = -522.9043 + -0.0957. Let n = b - -523.2. Let j = -5.7 + 6. Sort j, n, 0.4, 0.5 in descending order. 0.5, 0.4, j, n Let s be 9 + (8 - 9)*14. Sort 1, s, -19, 3 in descending order. 3, 1, s, -19 Let f = -30615/17 - -1801. Suppose 0 + 3 = 3*a. Put a, -4, f in ascending order. -4, f, a Suppose -3*z = 3*x + 3, -3*z + 1 = -x - 2*z. Let p = -25607 - -25609. Sort 5, -8, x, p in ascending order. -8, x, p, 5 Let r = -3231 - -3212. Sort -1, r, 176. r, -1, 176 Let l be (146/21 - 8) + (-20)/(-45)*3. Sort 0, 5, -0.3, l, -7 in ascending order. -7, -0.3, 0, l, 5 Let i(w) = w**3 + 3*w**2 + 8*w + 18. Let m be i(-3). Sort 1, 9, -2, m, -5 in decreasing order. 9, 1, -2, -5, m Let d = -23 + 27. Put d, 0.04, -2 in increasing order. -2, 0.04, d Suppose -b + 3*c = -3*b + 12, b - 13 = -5*c. Suppose b*f = -27 + 21. Suppose 7*v - 3*v = -4. Sort 1, f, 3, v in decreasing order. 3, 1, v, f Suppose 0 = j - 4*k + 15, 3*j - 2*k = 18 - 13. Sort -5, 1/2, -0.095, j in decreasing order. j, 1/2, -0.095, -5 Suppose 2*w + 6 + 23 = -5*c, -3*c = 2*w + 19. Let g(m) = m**2 - 288*m + 289. Let f be g(1). Sort 0, -3, f, c in decreasing order. f, 0, -3, c Suppose 0 = 2*q + 5*m - 24, -4*q = q - 3*m - 122. Let x = q + -21. Let i(b) = 3*b + 2. Let f be i(x). Put 1, -9, -4, f in increasing order. -9, -4, 1, f Let v = 1414 - 1334. Sort 1/21, 4, v in increasing order. 1/21, 4, v Let r = 81.73 - 86.73. Sort -2, 5, 0.0856, r, -2/15 in increasing order. r, -2, -2/15, 0.0856, 5 Suppose -4 = 12*p - 16*p. Let i be (2 + 1 + 5 + -3)/1. Suppose -5 = -4*f + 3*k, 0*f + 5*k + 3 = 4*f. Put 4, i, p, f in ascending order. p, f, 4, i Let p = -76 - -31. Let o be (-30)/(-4) + 3/(-2). Let a be ((p/6)/(-5))/o. Sort a, 4, 3 in decreasing order. 4, 3, a Let f = 2881 - 2885. Put f, 25/9, 0.3 in descending order. 25/9, 0.3, f Let q be (-5)/(-2)*(-72)/60. Let o be ((-14)/(-4) - 3)*-5*2. Sort o, q, 5, 15 in descending order. 15, 5, q, o Let z = 1.21963 + -0.21963. Sort 63.8, -1, z, -5 in descending order. 63.8, z, -1, -5 Let l be (10/(-14)*-1)/((-3708)/(-2781)). Put 0.1, l, -4 in increasing order. -4, 0.1, l Let j = -0.16 + 0.05. Let s = 0.469 + -0.216. Let z = s - -0.047. Sort j, -3, z, -2/21. -3, j, -2/21, z Let u = 4445.2 + -4445. Let o = -5 + 9. Sort o, u, -2, 0 in descending order. o, u, 0, -2 Let k(s) = 26*s + 471. Let p be 36*(7 + 45/(-6)). Let b be k(p). Let q = -8 - -4. Put -5, q, 2, b in descending order. b, 2, q, -5 Let v = 39/4 - 10. Let b be -9 + -3 + -16 + 28. Let c = -2 - -5. Put b, v, c in decreasing order. c, b, v Let d = -1.1 - -7.1. Let q be (-4)/3*3 - -13. Let b be -3*q/((-324)/(-8)). Sort d, -3/2, b in decreasing order. d, b, -3/2 Let u = -584 - -543.8. Let w = u - -33.2. Sort 1, w, -2 in increasing order. w, -2, 1 Let f = 2 - -1. Suppose 2*r - c - 9 = -4, -14*c - 24 = -5*r. Put r, f, -32 in ascending order. -32, r, f Let m = -17/454 + 1023/75818. Sort 0, -5, m in descending order. 0, m, -5 Let l(z) = -z**3 - 2*z**2 - 8*z - 38. Let b be l(-3). Sort b, 9, 13. b, 9, 13 Let z be (400/350)/(16/28). Suppose -5*f + 0 + 5 = 0. Let y = -7 - -12. Put z, y, f, 3 in ascending order. f, z, 3, y Let d = -1799 + 1799. Put d, -4, -18 in descending order. d, -4, -18 Suppose l - 8 = -2*l - 2*w, 2*w - 8 = 3*l. Let s be 3904/(-8235) + 4/54. Let t be (-4)/(-6)*1 + -1. Sort t, l, s in increasing order. s, t, l Let b = 154/15 - 142/15. Put 31, 5, 0, b in descending order. 31, 5, b, 0 Suppose 0 = -0*g + g + 2. Let b = -0.029586 - 0.270414. Sort 0, 9, g, b in ascending order. g, b, 0, 9 Let u be (0 - 1)/((-1273)/(-57) + -22). Let n be (-6 - -3) + (5 - -2). Let v = -13 + 9. Put n, u, v in decreasing order. n, u, v Let n be -4*(((-8715)/98)/15 + 6). Put 0.4, -3.9, n, -1/5 in decreasing order. 0.4, -1/5, n, -3.9 Let v = 0.43927 - -0.06073. Let r = 4.3 - 4.35. Put -5, r, v in descending order. v, r, -5 Let n be (7 - -9*(-35)/49)/(24/28). Suppose z + 2 = 2*z. Suppose 4 = 3*y - 5. Put -1, y, z, n in increasing order. -1, n, z, y Let c be (-3)/((-4)/6*-6). Let h = 17.6 - -185.4. Let j = -199 + h. Sort 2/31, c, j in increasing order. c, 2/31, j Let z(o) = -o**2 - 11*o + 67. Let q be z(-25). Let l = -288 - q. Put 1.89, l, -0.3 in descending order. 1.89, -0.3, l Let q = -20.8 - -17.79. Let d = 0.01 + q. Put 0.2, d, -2/11, -2/9 in decreasing order. 0.2, -2/11, -2/9, d Let g = 5166 - 5175. Sort 26, -3, -2, g in increasing order. g, -3, -2, 26 Suppose 7*q + 5*b = 11*q + 6, -3*b = -2*q - 6. Sort 26, q, -3 in decreasing order. 26, q, -3 Let v = 5977 + -5921. Sort v, 4, 0.06, -2/7 in decreasing order. v, 4, 0.06, -2/7 Suppose 3*p - 41*g + 43*g + 10 = 0, -g = -1. Sort p, 9, -2, -65 in decreasing order. 9, -2, p, -65 Let g(v) = 2*v**3 + v**2 + 9*v - 2. Let y be g(-4). Let a be (((-50)/y)/(2/402))/(-5). Sort a, 0.5, 0.2 in decreasing order. 0.5, 0.2, a Let y(q) be the first derivative of -2*q**3/3 - 4*q**2 - 16*q + 22. Let a be y(-3). Sort -0.1, -1/4, a in ascending order. a, -1/4, -0.1 Let u = 1 - -3. Suppose -33*m + 6975 = -8*m. Let h = -281 + m. Put 0.2, 1, h, u in decreasing order. u, 1, 0.2, h Let i = 0.05 + -0.45. Let v = 0 + i. Let d = 32655 + -32655.3. Sort d, v, -2, 0.5 in ascending order. -2, v, d, 0.5 Let v = -3260 + 3260.3. Sort -1/3, v, 0.6, -0.6, 2/15 in ascending order. -0.6, -1/3, 2/15, v, 0.6 Let k = -14100 - -14025. Sort k, 3/8, 2, -0.1. k, -0.1, 3/8, 2 Let j be ((-36)/(-48))/(72/(-64)). Let u = 2.82 - -0.18. Sort 3/2, 2/5, u, j. j, 2/5, 3/2, u Let l = -3489 - -3527. Put 16, -3, l, 3 in decreasing order. l, 16, 3, -3 Let d = -52 + 78. Let g be (-4)/d - 3318/(-273). Let k be (3/4)/(g/(-8)). Sort -0.2, 4/5, k in ascending order. k, -0.2, 4/5 Let b = -77 + 77.1. Let o = 157/6 + -26. Let c = 1145/9 + -127. Sort o, c, 0.2, b. b, o, 0.2, c Let y(k) = -k. Let m be y(3). Let a be -5 + 6/(-16) - 22
{ "pile_set_name": "DM Mathematics" }
- 96 for o. -9 Solve 1061 = 440*z - 1249 + 550 for z. 4 Solve -888*r + 7625 = -12313 - 4038 for r. 27 Solve 859 - 1114 = -17*g for g. 15 Solve -24*c - 41 = -8*c - 25 for c. -1 Solve -1782 + 677 = 221*u for u. -5 Solve 235*b - 572 + 44 = 202*b for b. 16 Solve 34626*d - 34678*d - 156 = 0 for d. -3 Solve 13*y - y + 48 = 0 for y. -4 Solve -13169 = -65*k - 14144 for k. -15 Solve 261*p = 223*p - 60 - 168 for p. -6 Solve 2*u + 57*u + 159 = 6*u for u. -3 Solve -19*d - 17*d + 777 = -15 for d. 22 Solve 3105*h = 1545*h + 1554*h - 66 for h. -11 Solve -527 = -101*r + 25*r + 613 for r. 15 Solve 321*x - 10354 - 1523 = 0 for x. 37 Solve -11*h = -79*h + 125 + 147 for h. 4 Solve -26*f - 109 + 57 = -52 for f. 0 Solve 1278 = -690*b + 477*b for b. -6 Solve 0 = -8*w + 444 - 532 for w. -11 Solve -271 + 187 = -28*t for t. 3 Solve -81*h + 299*h - 5668 = 0 for h. 26 Solve -208 - 32 = 40*x for x. -6 Solve 77*l = -1602 + 986 for l. -8 Solve -76*c + 126*c + 286 = 24*c for c. -11 Solve 0 = -345*r + 479*r - 3752 for r. 28 Solve -25*q - 31 - 122 - 47 = 0 for q. -8 Solve -207*r = 485 + 621 - 71 for r. -5 Solve -2990*n = -2987*n + 45 for n. -15 Solve 440 = -43*t - 334 for t. -18 Solve 609 = 4132*w - 4161*w for w. -21 Solve 0 = 44*m + 380 + 412 for m. -18 Solve 867*m + 24*m - 1872 - 6147 = 0 for m. 9 Solve 8*z - 70 = 28 + 22 for z. 15 Solve -2*r + 323 = -19*r - 0*r for r. -19 Solve 0 = -266*s + 45*s - 364*s + 20475 for s. 35 Solve 50*q - 72*q = 92*q + 1710 for q. -15 Solve -5*f = -41811 + 41706 for f. 21 Solve 152*f + 96 = 146*f for f. -16 Solve -43*j + 67 = 669 for j. -14 Solve 19*t = 22*t + 17 + 10 for t. -9 Solve 928 = -105*c + 391 - 618 for c. -11 Solve -73*a - 2646 = 53*a for a. -21 Solve 5*d = 80*d - 525 for d. 7 Solve 12*j = 3*j + 34*j - 325 for j. 13 Solve -111 - 188 = 23*g for g. -13 Solve 27*n + 74 + 58 = 24 for n. -4 Solve 118*o = -112*o + 244*o - 56 for o. 4 Solve -1082*m = -139*m + 5658 for m. -6 Solve 59*i + 218*i - 157*i = -1920 for i. -16 Solve -28 - 48 = 19*o for o. -4 Solve -485*f - 480*f + 75 = -980*f for f. -5 Solve 0 = 37*r - 63*r + 26 for r. 1 Solve -4225 = -79*h - 4699 for h. -6 Solve -62*g - 5855 = -6661 for g. 13 Solve -309*k + 244*k = 374*k - 6146 for k. 14 Solve -304*i + 2166 = -1178 for i. 11 Solve -21*a + 118*a + 4992 = -95*a for a. -26 Solve -4*d = -13*d + 192 - 102 for d. 10 Solve 201*g - 186*g = 60 + 105 for g. 11 Solve -427 = -200*r - 2827 for r. -12 Solve 2*d = -44*d + 368 for d. 8 Solve 2211*a = 2152*a - 1121 for a. -19 Solve 147260*m - 147240*m = -120 for m. -6 Solve -x + x + 136 = -8*x for x. -17 Solve 0 = 10*z + 121*z - 1572 for z. 12 Solve -18*y - 17*y = -18*y + 170 for y. -10 Solve -111*n - 3478 + 6142 = 0 for n. 24 Solve 25*c + 84*c + 981 = 0 for c. -9 Solve -2*n = -134*n - 1188 for n. -9 Solve 7*k + 180 = -13*k for k. -9 Solve -50689*g - 65 = -50702*g for g. 5 Solve -99*r + 15*r - 29*r = 1017 for r. -9 Solve -124 - 122 = -57*s + 210 for s. 8 Solve 3875 - 4061 = 31*u for u. -6 Solve 239*z + 257 = 18 for z. -1 Solve -191 = 5*z + 5*z + 9 for z. -20 Solve -407*i + 387*i - 180 = 0 for i. -9 Solve -390 = 37*y - 538 for y. 4 Solve -48*r = 312*r - 34*r - 5542 for r. 17 Solve -699*z + 535*z = 2624 for z. -16 Solve 8*a - 114*a = 194 + 1608 for a. -17 Solve -64*h = -16*h + 96 for h. -2 Solve 0 = -142*j + 158*j + 304 for j. -19 Solve -20*b - 8*b = b + 319 for b. -11 Solve -524*g = -489*g - 630 for g. 18 Solve -530*i = -277*i + 507*i + 3800 for i. -5 Solve 15*d - 19038 = -19173 for d. -9 Solve -216*n - 4467 - 69 = 0 for n. -21 Solve 11072 = 795*c - 1487*c for c. -16 Solve -888*u + 904*u = 0 for u. 0 Solve 0 = -54*a + 235 + 74 - 93 for a. 4 Solve 174*f + 448 = 142*f for f. -14 Solve -5711 + 1518 = -181*z + 694 for z. 27 Solve 3*a - 70*a = 14*a for a. 0 Solve -232 + 591 = -153*o - 253 for o. -4 Solve 5515 = -580*o - 4925 for o. -18 Solve 0 = 2336*f - 2341*f + 75 for f. 15 Solve -56*x - 2933 = -3045 for x. 2 Solve 153*v - 200 = 161*v for v. -25 Solve 0 = -26*a + 600 - 470 for a. 5 Solve 98*h + 352 = 120*h for h. 16 Solve 17*k = -124*k - 9*k + 450 for k. 3 Solve -152*x + 549*x = -10322 for x. -26 Solve 12983 = 13*h + 12944 for h. 3 Solve 0 = 12*o + 100*o - 784 for o. 7 Solve 0 = -118*v + 499 - 1561 for v. -9 Solve -2*a - 1820 + 1860 = 0 for a. 20 Solve 26*y + y + 84*y + 2442 = 0 for y. -22 Solve -20*n + 20*n - 39 = -3*n for n. 13 Solve -225 = 30*x + 98 + 67 for x. -13 Solve 0 = 64*z - 312*z - 58*z - 3672 for z. -12 Solve -43*f - 1395 = 19*f - 93 for f. -21 Solve -18912*r + 18911*r + 14 = 0 for r. 14 Solve 7621*n - 7583*n + 304 = 0 for n. -8 Solve -2333*v + 15713 = -12283 for v. 12 Solve 0 = -160*w - 5*w for w. 0 Solve -35283 = 117*w - 32475 for w. -24 Solve -112*a + 188 + 40 = -444 for a. 6 Solve -77*f - 1290 = -335*f for f. 5 Solve 101 = -42*c + 15*c - 115 for c. -8 Solve -1337 = -107*v + 190*v + 572 for v. -23 Solve 228*f + 25 = 256*f - 3 for f. 1 Solve 161*l = 79 + 82 for l. 1 Solve -7*l = 7*l - 4 - 38 for l. 3 Solve 15*v + 85 = 130 for v. 3 Solve -1153382*v = -1153371*v + 165 for v. -15 Solve -12*v = 68 - 68 for v. 0 Solve 770 = 132*z - 86*z - 101*z for z. -14 Solve -328*x = -490 - 166 for x. 2 Solve -v + 16*v = -26*v - 533 for v. -13 Solve -24*d - 972 = -0*d + 84*d for d. -9 Solve 14*y = 27*y - 2*y - 143 for y. 13 Solve -6*r - 11*r + 234 = 64 for r. 10 Solve 1420*b = 1435*b + 165 for b. -11 Solve -405*s + 1357 = -1353*s - 5279 for s. -7 Solve 80 = -120*z + 1400 for z. 11 Solve -21*l + 46 - 43 = -81 for l. 4 Solve 0 = -8*o - 66 + 138 for o. 9 Solve 7527*o - 7565*o + 1330 = 0 for o. 35 Solve 31344 = 4*b + 31292 for b. 13 Solve 0 = 18*l - 10652 + 10886 for l. -13 Solve -1693*w + 918 = -1639*w for w. 17 Solve -79*f - 40 - 355 = 0 for f. -5 Solve 254*i - 148 = 180*i for i. 2 Solve -186*p - 2070 = -768 for p. -7 Solve 254*k = 225*k - 87 for k. -3 Solve 0 = -17*a + 48 + 258 for a. 18 Solve 0 = 22*a - 0*a + 6*a for a. 0 Solve -157*q = -156*q + 15 - 36 for q. 21 Solve 158*b = -25*b + 1830 for b. 10 Solve 0 = -44*b + 33*b + 66 for b. 6 Solve -208 = -224*b + 211*b for b. 16 Solve -31*v + 2408 = 270*v for v. 8 Solve 163*n + 2964 = -65*n for n. -13 Solve 30 = -19*n - 7*n - 48 for n. -3 Solve 2488*r = 1869*r - 12999 for r. -21 Solve -3218*k = -3252*k - 952 for k. -28 Solve 22*x + 266 - 5 = -25 for x. -13 Solve 26*s + 164 = 346 for s. 7 Solve 0 = -40*t - 50903 + 50223 for t. -17 Solve -2464 = -42*m - 18*m - 17*m for m. 32 Solve 3*q = -13*q + q for q. 0 Solve -70 = -18*b + 76 - 2 for b. 8 Solve 51*c + 22 = 48 - 1097 for c. -21 Solve 633 = 155*f + 5438 for f. -31 Solve -2*c = 22*c - 224 - 328 for c. 23 Solve -114*d + 299 = 225*d - 40 for d. 1 Solve -1425*k - 8492 - 32357 = 7601 for k. -34 Solve -310*w + 286*w = 47 - 191 for w. 6 Solve 60*x + 8*x - 162 = 450 for x. 9 Solve 27 + 40 = 10*r - 53 for r. 12 Solve -375*n + 183*n = -178*n + 364 for n. -26 Solve 70 + 256 = -19*l - 16 for l. -18 Solve 49*u = -124 + 369 for u. 5 Solve -8 = 234*j - 158*j + 68 for j. -1 Solve 8*m + 83 = -18*m - 255 for m. -13 Solve 0 = 96*s + 60*s + 1092 for s. -7 Solve -88*m + 21 = 502 + 839 for m. -15 Solve 12*n + 34 = 10 for n. -2 Solve -31*v + 150 + 198 - 441 = 0 for v. -3 Solve 80 + 605 = -137*f for f. -5 Solve -4*y = 6*y + 90 - 10 for y. -8 Solve -29*m + 648 = 735 for m. -3 Solve 4*n = 38 - 18 for n. 5 Solve -38*g = -13*g + 27 + 398 for g. -17 Solve 28*z - 100*z + 196*z + 1612 = 0 for z. -13 Solve 2086281 - 2086127 = 77*m for m. 2 Solve 108*z - 4*z - 744 - 400 = 0 for z. 11 Solve -3797*p = -3929*p - 528 for p. -4 Solve -13*q + 6644 = 29*q + 7694 for q. -25 Solve 654*t - 312*t = 322*t + 580 for t. 29 Solve -24*r - 47 = 169 for r. -9 Solve 76 + 221 = -36*r - 207 for r. -14 Solve -75*x - 1505 - 711 = -191 for x. -27 Solve 21910 = -30*r + 21940 for r. 1 Solve 707 - 779 = -23*l - l for l. 3 Solve 15*n - 48*n + 375 = -18*n for n. 25 Solve 494 = 35*j + 389 for j. 3 Solve -526*u - 675 - 15576 = -1523 for u. -28 Solve -5681*a + 102 = -5656*a + 427 for a. -13 Solve -384*a = -491*a for a. 0 Solve -2*g - 112 = -152 for g. 20 Solve 0 = -777*k - 1115 - 12871 for k. -18 Solve -10*y + 27*y + 528 = -16*y for y. -16 Solve -661*s = -603*s + 1044 for s. -18 Solve -550 = -317003*l + 316978*l for l. 22 Solve 152*p = 185 - 1705 for p. -10 Solve 7*d - 10*d - 6*d = 27 for d. -3 Solve 0 = -464*a - 27 + 3275
{ "pile_set_name": "DM Mathematics" }
ime factors of 18509884? 2, 433, 10687 What are the prime factors of 1335817? 7, 23, 8297 List the prime factors of 760672. 2, 11, 2161 List the prime factors of 444351. 3, 73, 2029 List the prime factors of 151614. 2, 3, 8423 What are the prime factors of 6052049? 47, 128767 What are the prime factors of 12127445? 5, 11, 311, 709 What are the prime factors of 978789? 3, 7, 127, 367 List the prime factors of 6835764. 2, 3, 13, 29, 1511 List the prime factors of 113977. 293, 389 List the prime factors of 2219361. 3, 739787 List the prime factors of 404974. 2, 17, 43, 277 What are the prime factors of 3202688? 2, 131, 191 List the prime factors of 24068. 2, 11, 547 What are the prime factors of 873734? 2, 19, 22993 What are the prime factors of 21624572? 2, 293, 18451 List the prime factors of 228146. 2, 114073 List the prime factors of 359734. 2, 41, 107 What are the prime factors of 1619423? 13, 43, 2897 What are the prime factors of 337125? 3, 5, 29, 31 What are the prime factors of 279854? 2, 17, 8231 What are the prime factors of 2793779? 19, 71, 109 List the prime factors of 1246318. 2, 41, 15199 List the prime factors of 649878. 2, 3, 89, 1217 What are the prime factors of 309927? 3, 17, 59, 103 List the prime factors of 535308. 2, 3, 31, 1439 List the prime factors of 1015599. 3, 13, 26041 What are the prime factors of 968033? 11, 88003 What are the prime factors of 15281335? 5, 167, 18301 What are the prime factors of 5532889? 73, 75793 List the prime factors of 3206308. 2, 7, 307, 373 List the prime factors of 52828. 2, 47, 281 What are the prime factors of 7725981? 3, 2575327 List the prime factors of 4274298. 2, 3, 7, 33923 What are the prime factors of 2934968? 2, 19, 19309 List the prime factors of 255434. 2, 127717 What are the prime factors of 634347? 3, 7, 10069 What are the prime factors of 1156605? 3, 5, 83, 929 List the prime factors of 616690. 2, 5, 83, 743 List the prime factors of 29001753. 3, 11, 97649 List the prime factors of 487213. 487213 What are the prime factors of 571033? 491, 1163 List the prime factors of 5917667. 7, 845381 List the prime factors of 7194250. 2, 5, 7, 4111 What are the prime factors of 592869? 3, 83, 2381 What are the prime factors of 259456? 2, 2027 List the prime factors of 6998189. 11, 101, 6299 What are the prime factors of 42309? 3, 1567 List the prime factors of 32107865. 5, 6421573 List the prime factors of 1583289. 3, 19, 47, 197 List the prime factors of 3980012. 2, 23, 43261 What are the prime factors of 623250? 2, 3, 5, 277 List the prime factors of 78752. 2, 23, 107 What are the prime factors of 7246881? 3, 268403 What are the prime factors of 36578? 2, 18289 List the prime factors of 22483901. 11, 37, 55243 List the prime factors of 34874. 2, 7, 47, 53 List the prime factors of 2382674. 2, 7, 41, 593 What are the prime factors of 10669424? 2, 23, 79, 367 What are the prime factors of 13926639? 3, 19, 263, 929 What are the prime factors of 3007590? 2, 3, 5, 29, 3457 What are the prime factors of 9863168? 2, 7, 43 List the prime factors of 6790496. 2, 212203 What are the prime factors of 685983? 3, 251, 911 What are the prime factors of 418191? 3, 139397 List the prime factors of 731331. 3, 23, 3533 What are the prime factors of 4536544? 2, 141767 What are the prime factors of 2634914? 2, 47, 28031 What are the prime factors of 3751498? 2, 29, 71, 911 List the prime factors of 7849740. 2, 3, 5, 130829 List the prime factors of 833139. 3, 59, 523 What are the prime factors of 8260285? 5, 11, 101, 1487 What are the prime factors of 330862? 2, 7, 23633 What are the prime factors of 5573168? 2, 348323 What are the prime factors of 5022645? 3, 5, 334843 List the prime factors of 711706. 2, 355853 What are the prime factors of 867245? 5, 29, 5981 What are the prime factors of 1006459? 827, 1217 What are the prime factors of 46290? 2, 3, 5, 1543 List the prime factors of 44592. 2, 3, 929 List the prime factors of 623756. 2, 7, 22277 What are the prime factors of 1556567? 1556567 List the prime factors of 4429294. 2, 23, 96289 List the prime factors of 171617. 171617 What are the prime factors of 332275? 5, 13291 List the prime factors of 187013. 23, 47, 173 List the prime factors of 1433366. 2, 11, 5923 List the prime factors of 368686. 2, 83, 2221 What are the prime factors of 31852276? 2, 47, 169427 List the prime factors of 147010. 2, 5, 61, 241 What are the prime factors of 15569417? 19, 819443 What are the prime factors of 326799? 3, 11, 3301 What are the prime factors of 514116? 2, 3, 14281 List the prime factors of 6727055. 5, 373, 3607 List the prime factors of 6533893. 43, 47, 53, 61 List the prime factors of 10903676. 2, 7, 55631 What are the prime factors of 5129685? 3, 5, 11, 43, 241 List the prime factors of 738839. 738839 What are the prime factors of 71137? 11, 29, 223 What are the prime factors of 495657? 3, 55073 List the prime factors of 714999. 3, 41, 5813 List the prime factors of 196694. 2, 98347 What are the prime factors of 211842? 2, 3, 3923 List the prime factors of 136946. 2, 68473 List the prime factors of 9303464. 2, 19, 97, 631 What are the prime factors of 891958? 2, 89, 5011 What are the prime factors of 173973? 3, 57991 List the prime factors of 8535. 3, 5, 569 List the prime factors of 2700061. 7, 13, 29671 What are the prime factors of 763278? 2, 3, 23, 5531 List the prime factors of 2299621. 821, 2801 List the prime factors of 20523317. 20523317 What are the prime factors of 48929? 113, 433 List the prime factors of 18888179. 18888179 What are the prime factors of 1833129? 3, 353, 577 List the prime factors of 3306957. 3, 29, 38011 What are the prime factors of 2682027? 3, 31, 9613 List the prime factors of 2149653. 3, 11, 65141 What are the prime factors of 21011661? 3, 11, 212239 What are the prime factors of 7422418? 2, 3711209 What are the prime factors of 6545029? 67, 97687 List the prime factors of 25602. 2, 3, 17, 251 List the prime factors of 17337291. 3, 19, 304163 List the prime factors of 1725334. 2, 13, 66359 List the prime factors of 319872. 2, 3, 7, 17 What are the prime factors of 37047? 3, 53, 233 What are the prime factors of 6632684? 2, 1213, 1367 What are the prime factors of 5079712? 2, 11, 14431 List the prime factors of 216973. 216973 List the prime factors of 1019298. 2, 3, 7, 3467 List the prime factors of 237030. 2, 3, 5, 7901 List the prime factors of 5330807. 137, 167, 233 List the prime factors of 282231. 3, 10453 What are the prime factors of 189825? 3, 5, 2531 What are the prime factors of 135159? 3, 45053 List the prime factors of 80491. 80491 What are the prime factors of 189276? 2, 3, 15773 List the prime factors of 85244. 2, 101, 211 What are the prime factors of 287896? 2, 7, 53, 97 List the prime factors of 4147714. 2, 73, 28409 What are the prime factors of 3550006? 2, 29, 97, 631 List the prime factors of 33998209. 7, 23, 97, 311 List the prime factors of 33143650. 2, 5, 31, 21383 What are the prime factors of 89193? 3, 13, 2287 What are the prime factors of 1575500? 2, 5, 23, 137 List the prime factors of 144503. 83, 1741 What are the prime factors of 1685909? 163, 10343 What are the prime factors of 5778? 2, 3, 107 List the prime factors of 4424304. 2, 3, 92173 What are the prime factors of 1623230? 2, 5, 7, 23189 What are the prime factors of 96896? 2, 757 What are the prime factors of 212329? 13, 16333 List the prime factors of 424757. 424757 What are the prime factors of 343016? 2, 53, 809 List the prime factors of 8456578. 2, 13, 41, 7933 What are the prime factors of 5022297? 3, 7, 26573 List the prime factors of 3830258. 2, 421, 4549 What are the prime factors of 11967025? 5, 7, 9769 What are the prime factors of 193484? 2, 48371 List the prime factors of 2648325. 3, 5, 35311 What are the prime factors of 366521? 366521 What are the prime factors of 3225849? 3, 11, 67, 1459 What are the prime factors of 260454? 2, 3, 83, 523 What are the prime factors of 23803? 13, 1831 What are the prime factors of 192546? 2, 3, 19, 563 List the prime factors of 636292. 2, 159073 List the prime factors of 8956914. 2, 3, 1492819 What are the prime factors of 932104? 2, 37, 47, 67 List the prime factors of 113182. 2, 56591 Wh
{ "pile_set_name": "DM Mathematics" }
-6/5 What is the value of (-4)/20 + (-255)/225 + (-47)/(-15)? 9/5 Calculate (-15 + 3184/208)/(((-6)/195)/(114/(-285))). 4 Calculate 110/(-242)*-11 - 55. -50 What is the value of ((0/(37 + -14))/(1 - 9))/(-6 + 4)? 0 Calculate (-36)/306 - ((-44)/374 - 12/10). 6/5 Evaluate (-4 - 306/(-77))*-45*42/(-1890). -2/77 Evaluate -75 + (1 - 75891/(-1025)). 1/25 Calculate (-3 + -1)*(-518)/(-5180) - (-4752)/(-770). -46/7 49 + -63 + (-2)/(-15) + 474/45 -10/3 ((-8390)/12585)/(2/6 - 1) 1 What is the value of ((-2)/(-5))/((-15126)/360 + 42)? -24 What is (-30586)/8206 + 5*(-1)/(-5)*1*1? -30/11 Evaluate (-832)/28288 - (-2585)/34. 76 What is (-13 - (80/72 + -14)) + -2*(-1589)/1386? 24/11 What is (5592/(-700) - (-4 + -4))/(-1 + 0)? -2/175 Evaluate ((-79)/(-2765))/(5/35). 1/5 Calculate 726/(-21) - (14 - 6776/539). -36 What is the value of (-375)/9 - 12929/5541? -44 (131979/(-5365))/(6/(-10)) 41 536/(-1608) + (-52)/(-174) -1/29 What is the value of (45408/1262910)/(48/10)? 2/267 Calculate (-1)/(-2)*6*(-2521 - -2509). -36 ((-35)/3801)/(357/1904*(-80)/(-18)) -2/181 Evaluate ((-76)/42)/((-298)/463092*148). 19 Calculate (24/(-96))/((-4)/48). 3 Evaluate (-780)/40 + 18 + 180/(-150)*(-370)/8. 54 Calculate (79 - (-56712)/(-714))/(1/(-77)). 33 What is the value of 152/(-10) + -24*85/(-408) - 9/(-5)? -42/5 What is (2 - -2)/(510/(-684)*-16 - (-1164)/(-97))? -57 (42 + (-351)/(-945)*-110)*19/8 19/7 Calculate 6*(50 + -48) + (-9)/(-1). 21 What is the value of 78/(-6) + (1 - (4 + -5)) - 1960/(-170)? 9/17 What is (34 + 12256/(-384))*(-12)/(-40)? 5/8 What is the value of -692*(-24)/1504 + -28 + 17? 2/47 Calculate 121/12*(-1800)/(-7425). 22/9 What is -12*((-301)/215 + (319/(-165) - (3 - 6)))? 4 What is the value of 1078/(-49)*(3 + -1)*20/40? -22 What is (120/(-1200))/((-2)/(-40))? -2 Calculate (70/49)/(-29 - 2793/(-95)). 25/7 Evaluate (72/12)/((-12)/(-152)) - (-72)/(-6). 64 Calculate (3/45)/(3/4)*(-1143)/(-1778). 2/35 What is the value of 25263/378 + 1752/144 + -10? 69 Calculate 19 + ((-168)/49 - -4) + 438/42. 30 Calculate (102/(-28050)*-165)/((-2)/80). -24 What is the value of 224/12*(-95)/(130720/(-129))? 7/4 Evaluate 5/((-48)/(42336/210)). -21 What is 97 + -6*(-11 - (15 + 0 - (-2035)/(-74)))? 88 What is the value of (22 - (-4648)/(-196))/((-2)/8*68/595)? 60 10348/338 - 1224/(-884) 32 What is -2*545/(-65) - 2/13*(-66)/44? 17 Evaluate (-18 - 82*-7*60/1960) + 20/28. 2/7 Evaluate ((-6480)/(-28))/(-5) + (-172)/(-602). -46 Evaluate (-65)/78*2316/4825. -2/5 Evaluate (8/28)/(1304/(-1956)). -3/7 What is 2829/(-451) - ((-1060)/55 - -19)? -6 What is the value of 1583890/1363791 + (-18)/17? 4/39 Evaluate (6/64*4)/((-66)/748). -17/4 What is (-19526)/4004 + (-5712)/(-1122)? 3/14 What is the value of ((28/(-16) - -2)*126/(-294))/(3/(-4))? 1/7 Calculate ((88 - 8)/160)/((3/56)/((-513)/(-38))). 126 What is the value of ((0 + 31)/(-31))/(1444/240 + -6)? -60 What is -17 - (22356/3402)/(2/7)? -40 What is 356/12 - ((-3)/7 + (1100/(-525))/(-22))? 30 What is -19*(-13 + (-84)/(-6))? -19 What is (1191870/(-272))/(-95) - 2/16? 46 Calculate 80772/(-1325) + ((-204)/(-300))/(-17). -61 What is 1829/(-413) + 8*(-7)/98? -5 Evaluate (-337986)/(-138267) - 3*1. -5/9 Evaluate (-1 - 4/1) + (8 - (-420)/(-138)). -1/23 (-23 + -745)*((-441)/(-56) - 8) 96 Calculate (345/8280)/((-22)/24). -1/22 Calculate (180/54 + 20)*9/12*-2. -35 (-7011)/95 + 39 - (-5 - 104/(-20)) -35 Evaluate -22 + 1 - -2*12834/1209. 3/13 Evaluate (-138301)/(-16566) + 25/(-3). 1/66 What is the value of ((-88616)/(-880) - 99)*(11 + -1)? 17 Evaluate (6/(-18))/(((-3 + 8)/(-5))/(-2)). -2/3 (5 + -1)/4*(-36)/62*133/(-2394) 1/31 What is (2 - (-8)/(-7))/(56 + 570/(-10))? -6/7 (10/36)/(-5) - (-16 - (-5220)/324) -1/6 What is -11 - (2/(-3) - 1300/300)? -6 (-5 + 10)*210/2100*178 89 What is 15624/(-1550) - (100/(-5))/2? -2/25 Calculate (41623 + -41787)/(-2 + 3*4/(-6)). 41 -1 + (57 - 54)/(408/140) 1/34 What is the value of 5402/(-720) + 389/(-17505) + 2/(-16)*-1? -37/5 Evaluate 6/(-10*42/(-584)) + (-36)/30. 50/7 135*(-1 - 0)/(-1) + (-76 - (43 + -132)) 148 What is the value of (-19)/((-3078)/(-36)) - (1875/400)/(81/(-60))? 13/4 What is the value of -5 - 58 - (-12560)/80? 94 Evaluate (-1515)/165 - 104/(-572). -9 Calculate (-35)/11 + (322/77 - 4) + (211 - 191). 17 What is the value of 4/6 + 17430/(-630)? -27 Evaluate (-1380)/(-56304)*-102*(0 + 0 - (-4)/(-10)). 1 What is (-2156120)/31207 - 6/(-66)? -69 Evaluate ((-138)/96*-2)/(-22 - 8119/(-368)). 46 Calculate ((-217)/294 + 8/14)*(28982/(-172) + 44). 83/4 Evaluate (-14 + -159*18/(-216))/((-1431)/(-24)). -2/159 What is the value of 2 + 8*(9/12)/(435/(-232))? -6/5 Calculate ((-9)/(-216))/((-11)/22). -1/12 What is the value of 1/24 - 651728/29568? -22 What is (-60)/76 - 1/((-855)/(-180))? -1 What is (-8)/(312/315) + (245/70)/((-2)/(-4))? -14/13 Calculate (28 + -25)/(53/636). 36 What is (24/(-376))/(891/54 - 15)? -2/47 Calculate ((-578500)/10680)/(20/24). -65 Evaluate 12972/(-207) + (-5244)/342. -78 Evaluate (-540)/(-45)*(19 - 10)/(-3). -36 Evaluate (-21280)/3325*(-25)/(-60) - (-610)/222. 3/37 Evaluate (-22)/((-1452)/(-330)) + (1 - -9). 5 5/(-22)*1262/6310 -1/22 Calculate (10 + -4 - 4 - ((-24)/(-4) - 5))*26. 26 Evaluate 2/((-4)/(-270)) + (9594/(-234) - -28). 122 Evaluate ((-43)/129)/(17/(-6681)) - 29. 102 Calculate 9654/6436*(22/(-6) + -28 + 27). -7 (12 - -10 - 24)/(3 - (1 - -22)) 1/10 What is (((-4)/8)/((-7)/(-322)*115))/(1/(-5))? 1 What is 12/92*(-22816)/(-496)? 6 (-30699)/(-50028)*24/9 18/11 Calculate (-526 + 544)*30/20. 27 What is the value of -7 - (11 + (-9499)/207) - 27? 8/9 What is the value of 12/14*(-1015)/(-10875) - (-136)/19550? 2/23 What is the value of 3715/(-120) + ((-11713)/(-1272))/(-221)? -31 What is (1009 - 1011)/((-2)/13)? 13 What is -91 - (-31 + -20 - -1)? -41 (-3047)/(-277) + 5/((-295)/647) 2/59 What is the value of ((-53856)/378)/16 + (-186)/1953? -9 Evaluate 4 + 12/72 + 2075/(-30) - -11. -54 What is the value of 4795/8220 - 3/(-72)*2? 2/3 What is the value of 2 + -1 - ((-4)/(-10))/((-184699)/5130 - -36)? 109 -18 + 470/25 + 25 + -20 + 622/(-40) -39/4 Evaluate -4*(-13*4/(-8) + ((-429)/33 - -22)). -62 What is the value of ((-1411)/(-153) - 9)*4 + -2? -10/9 What is the value of ((-11234)/28085)/(-3 - (-1071)/1065 - -2)? -71 What is (8 + -7)/((14 - (-13258)/(-392)) + 20)? 28/5 Evaluate 40 - 3 - (-20 - 584452/(-10252)). -2/233 What is (-2 + 1)/14 + (-48173)/398650*-85? 51/5 What is the value of (-1056)/220*((-15)/27)/((-27)/(-18))? 16/9 Calculate ((-5)/220)/(301/3612). -3/11 What is the value of (2/14*-2)/(41/24 - 1224/3264)? -3/14 (3522/7044)/(25/4 - 0) 2/25 -1*(-26)/38 - ((-902538)/2166 + 417) 7/19 Evaluate (-1)/(5/336)*((-14896)/228 + 67). -112 What is the value of 26865/(-1215) + (-16 - -39)? 8/9 Calculate ((-21832)/1106 + 26/1027)*7/(-3). 46 Evaluate ((918/(-20))/9 + 226/2260)*(4 - 2). -10 Evaluate 4/(1584/2781) + (43 - 50). 1/44 Calculate (-40)/2020 + (-105516)/(-3636). 29 -3*(-23114)/(-693) - ((-3528)/(-2079))/(-28) -100 403*40/390 + -42 -2/3 Evaluate (-4)/5*(-1)/2 - 2182509/6013035. 1/27 Evaluate (-294)/16905 - (-10116)/(-230). -44 (6996/594 - (-56)/(-4))/((-5)/225) 100 Calculate (2844/21)/(-3) - 14316/16702. -46 Evaluate (-48 + 22 - (-27780)/1460) + (-35)/(25/(-5)). 2/73 What is (41688/(-1485))/(-8) + 23/(-5)? -12/11 Calculate (-12)/(-48)*32 - (-11 - (-344)/32). 33/4 (1 - 12)/(6/(-4)*(-572)/858) - -6 -5 Calculate (((-10857)/1782)/47)/(((-90)/27)/(-10)). -7/18 What is (-13)/(221/(-51))*((-20)/196)/(-5)? 3/49 6648/11634*(-11)/12*-7 11/3 Calculate 5/(-3)*(266/(-1680) + 2/15). 1/24 (4/7)/((-1)/7)*801/(-144)*-4 -89 Evaluate (3/(-51) - 825/(-1020))*-12. -9 2211/242 + -9 + 21370/(-220) -97 (2/6)/(54 - 349164/6480) 20/7 Calculate (6/(-110))/(891/(-6534))*25 + 33. 43 Calculate ((-15)/580)/((91/(-28) - -1)/((-27)/18)). -1/58 What is the value of (47/(-22) + (7 + -40 - -35))/((-13)/(-130))? -15/11 What is (23/(-552)*8/(-3))/(608/(-624) - -1)? 13/3 Evaluate (((-3)/60)/(377/(-3016)))/7. 2/35 Calculate 440100/4075 - (0 - (-8)/2). 104 394/26 + 34018/949 + -36 + 31 46 What is (87*21/(-252))/(-3 + 44/16)? 29 What is the value of ((-15)/(-6))/(46 + 270/180)? 1/19 Evaluate (-54)/(-1260)*91*20/3. 26 Calculate -119 + 159 - (-240312)/(-6014). 4/97 What is the value of ((-147)/(-189))/(8 - 136/24)? 1/3 What is the value o
{ "pile_set_name": "DM Mathematics" }
1.2, -11, -5, -1.8747, -1/4 Sort 0, -4, -3, 3, 168362, -16. -16, -4, -3, 0, 3, 168362 Sort 27, 314, 5, 13 in increasing order. 5, 13, 27, 314 Put 8406, -4, 5, 2, 13, -1, 0 in ascending order. -4, -1, 0, 2, 5, 13, 8406 Sort -240, -198, -6, 25. -240, -198, -6, 25 Sort -15932, 0.5, 2112 in decreasing order. 2112, 0.5, -15932 Sort -13/4, -9, 1/4, 3, 0.08 in decreasing order. 3, 1/4, 0.08, -13/4, -9 Sort -3, 5, -4, 2374 in descending order. 2374, 5, -3, -4 Put -577, 3, -49, 5, 4, -1, -158 in increasing order. -577, -158, -49, -1, 3, 4, 5 Sort -5, 3/2, -108939, -5/7. -108939, -5, -5/7, 3/2 Sort -9, 1, -866680 in increasing order. -866680, -9, 1 Sort 0, 6, -9, -23833 in decreasing order. 6, 0, -9, -23833 Sort 7, -36, 78 in increasing order. -36, 7, 78 Sort 2/9, -2/7, -1/5, -743584 in decreasing order. 2/9, -1/5, -2/7, -743584 Sort -5, 11, -18135, -14 in ascending order. -18135, -14, -5, 11 Sort 1936, -33, -10, -5 in ascending order. -33, -10, -5, 1936 Sort -14240, 3, 4, 2 in increasing order. -14240, 2, 3, 4 Sort 0, -4, -2, 3/116, 2/67 in descending order. 2/67, 3/116, 0, -2, -4 Put -14, -4062530, -1, 2, -3 in ascending order. -4062530, -14, -3, -1, 2 Sort 0, 4, -398, 63, 6 in decreasing order. 63, 6, 4, 0, -398 Sort 60402, 720, -4 in descending order. 60402, 720, -4 Sort 4, 3, 2/19, 5, 2451.1, 38. 2/19, 3, 4, 5, 38, 2451.1 Put 3510, 35222, 0 in decreasing order. 35222, 3510, 0 Put 5, 4, 21, 2, 3, -4, -5 in descending order. 21, 5, 4, 3, 2, -4, -5 Sort 5, 4722, -2, 25. -2, 5, 25, 4722 Sort -3, 321, 0, -4, 1, 6, -27 in decreasing order. 321, 6, 1, 0, -3, -4, -27 Sort 20/1059, 5/4, 3, -3/2, 11. -3/2, 20/1059, 5/4, 3, 11 Put 59, 8, -3, 2, -83/22 in descending order. 59, 8, 2, -3, -83/22 Put -5751, -3/4, 2, -14, -1/2, 1/3 in increasing order. -5751, -14, -3/4, -1/2, 1/3, 2 Put 4, -296, -1, -2, -4, -5, -3 in increasing order. -296, -5, -4, -3, -2, -1, 4 Sort 5, -2, -1, 6, 0, 145, -15 in descending order. 145, 6, 5, 0, -1, -2, -15 Sort -1, -5, 0, 42, -4, -96, 4. -96, -5, -4, -1, 0, 4, 42 Sort 14, 16, 3, -5, -1, 14930. -5, -1, 3, 14, 16, 14930 Put 136, 70916, 2, -6 in increasing order. -6, 2, 136, 70916 Sort -3, -766, -469, -1, -7. -766, -469, -7, -3, -1 Sort 3422, -67, 1/506 in descending order. 3422, 1/506, -67 Sort 4, -40, 64, 11, 5, 2, -2 in increasing order. -40, -2, 2, 4, 5, 11, 64 Sort 0.1, 3/2, -0.5713. -0.5713, 0.1, 3/2 Sort 3, -18, -56515. -56515, -18, 3 Put 0, 1, 2, 455, -553, -10 in ascending order. -553, -10, 0, 1, 2, 455 Sort -1/5, 274848, 4/7, 0.3, -0.01 in descending order. 274848, 4/7, 0.3, -0.01, -1/5 Sort -9, -5, -494, 8, 4/7, 0.2 in descending order. 8, 4/7, 0.2, -5, -9, -494 Put 0.1, -0.7, 0.2, 7/2073, 28, -2 in ascending order. -2, -0.7, 7/2073, 0.1, 0.2, 28 Sort 9, -10, -13, 4, -3, 1, 7 in decreasing order. 9, 7, 4, 1, -3, -10, -13 Sort -1, 9839, -4, 2 in decreasing order. 9839, 2, -1, -4 Sort 2, 239, -775591 in descending order. 239, 2, -775591 Put 2, 1.1368, 1/21, 25, 0.5 in decreasing order. 25, 2, 1.1368, 0.5, 1/21 Sort 2, -48, 4, 16, 2101 in descending order. 2101, 16, 4, 2, -48 Sort -83914, 0, 1.5. -83914, 0, 1.5 Put 0, -1315, -148200 in descending order. 0, -1315, -148200 Sort -28, 5, -3, -4, 28, -76. -76, -28, -4, -3, 5, 28 Sort 0, 2143532, 3, -3. -3, 0, 3, 2143532 Put 29, -1, -1062, -4 in increasing order. -1062, -4, -1, 29 Sort -4, 1/11, 4, -48584, 16 in increasing order. -48584, -4, 1/11, 4, 16 Put -14966, -16, -7, -0.2 in decreasing order. -0.2, -7, -16, -14966 Sort 905410, 4, -4, -55 in increasing order. -55, -4, 4, 905410 Put 0, -7, -7179, -4, 353 in decreasing order. 353, 0, -4, -7, -7179 Sort -127350, -11, -0.19 in descending order. -0.19, -11, -127350 Sort -1/4, 0.06, -10, 47, 4, -16. -16, -10, -1/4, 0.06, 4, 47 Put 8572, 3064, -4 in decreasing order. 8572, 3064, -4 Sort -780, -2, 1, 0, -5, 3, 230. -780, -5, -2, 0, 1, 3, 230 Put -1, 1/6, 0.01, 1/4, 4, 20509 in descending order. 20509, 4, 1/4, 1/6, 0.01, -1 Sort -0.5, -656, 0.1, -3, 2/251 in decreasing order. 0.1, 2/251, -0.5, -3, -656 Put 58, 143, 276 in decreasing order. 276, 143, 58 Put -0.3, -12442036, -16 in decreasing order. -0.3, -16, -12442036 Put -3, 1.02, 9.21 in decreasing order. 9.21, 1.02, -3 Sort -4, 12, 127, 3, 685, 5. -4, 3, 5, 12, 127, 685 Sort 4, 1, -1154655 in decreasing order. 4, 1, -1154655 Put -802167, -5, 9 in decreasing order. 9, -5, -802167 Put -25, -0.4, 32, 54.88, 0.1, 0.2 in descending order. 54.88, 32, 0.2, 0.1, -0.4, -25 Sort -61, -3, -20, -165, -96. -165, -96, -61, -20, -3 Put 12, -613, -1, 3, -5, -3, -93 in decreasing order. 12, 3, -1, -3, -5, -93, -613 Sort -4, 0, 15594602 in descending order. 15594602, 0, -4 Put 1612467, 4, -3, 3, 2, -5 in descending order. 1612467, 4, 3, 2, -3, -5 Sort -138, 2151, 3, 0. -138, 0, 3, 2151 Sort 68/137, 520, -3/2, -17 in decreasing order. 520, 68/137, -3/2, -17 Sort -19493, 4, 142, -5 in descending order. 142, 4, -5, -19493 Put 2, 1, 0, 11, -488, 5 in decreasing order. 11, 5, 2, 1, 0, -488 Sort 37.573, -1, -4, 3/7, -2 in decreasing order. 37.573, 3/7, -1, -2, -4 Sort 1, -2489, -388. -2489, -388, 1 Sort 143, 0.141, -0.3142 in increasing order. -0.3142, 0.141, 143 Sort 1, 0, -7, -296700 in descending order. 1, 0, -7, -296700 Sort 47, -25696, -39 in ascending order. -25696, -39, 47 Sort 2, -5, -3, -2, 1, -797, 67 in descending order. 67, 2, 1, -2, -3, -5, -797 Sort -5, 181, -4, 3196, 5 in decreasing order. 3196, 181, 5, -4, -5 Sort -179981, -1, -1/14 in ascending order. -179981, -1, -1/14 Put 2613, 4, -78, -7 in decreasing order. 2613, 4, -7, -78 Put 5, -28, -5, 105, 6, 21 in increasing order. -28, -5, 5, 6, 21, 105 Sort -1/7, -56387649, 5 in decreasing order. 5, -1/7, -56387649 Sort -11, 25, 2, -1, -5, -3, 22 in decreasing order. 25, 22, 2, -1, -3, -5, -11 Sort 2, -15, -5128975 in increasing order. -5128975, -15, 2 Put 22739, -0.2, -0.03 in descending order. 22739, -0.03, -0.2 Put -167/26, 0.4, 11, 1, -1.9, -1 in increasing order. -167/26, -1.9, -1, 0.4, 1, 11 Put 1, 0, 5, 3, -1778 in increasing order. -1778, 0, 1, 3, 5 Put -7479, 3, 18, -0.2, -0.5, -2 in descending order. 18, 3, -0.2, -0.5, -2, -7479 Put -2108, -110, 0.3, -8, -3 in increasing order. -2108, -110, -8, -3, 0.3 Put 909, -0.3, -0.74, -4, -5, -0.2 in ascending order. -5, -4, -0.74, -0.3, -0.2, 909 Sort 264, 6, -1, 4/73, -2/13. -1, -2/13, 4/73, 6, 264 Put 6/7127, -4, -0.4, 0, -2/3, 5 in increasing order. -4, -2/3, -0.4, 0, 6/7127, 5 Put -4, 2, -10, -3, -214, -6 in ascending order. -214, -10, -6, -4, -3, 2 Sort 4, 2528, 0.2, -614. -614, 0.2, 4, 2528 Sort -1154/3, -772, -63 in descending order. -63, -1154/3, -772 Put -5, 104, 9.16, 182 in decreasing order. 182, 104, 9.16, -5 Sort 121/4, 4, 10, 560 in descending order. 560, 121/4, 10, 4 Put 19, -0.67, 233, -40, 0.1 in descending order. 233, 19, 0.1, -0.67, -40 Put 25/4, 3/2, 0.1, 5/5583 in descending order. 25/4, 3/2, 0.1, 5/5583 Sort 5, 7, -86, 0, 3, -7 in descending order. 7, 5, 3, 0, -7, -86 Put 42292, 3, -82, 0, -5, 5, 4 in increasing order. -82, -5, 0, 3, 4, 5, 42292 Sort -12, -6, -1426, 1, -10, 4, -4 in descending order. 4, 1, -4, -6, -10, -12, -1426 Put -1415758, 2, 1 in descending order. 2, 1, -1415758 Put -272443, 310, 2, 4 in ascending order. -272443, 2, 4, 310 Sort 6442, -545, 4, -4, 7. -545, -4, 4, 7, 6442 Put -5, 11, 12886, -4 in descending order. 12886, 11, -4, -5 Put -322812, -94, -5 in decreasing order. -5, -94, -322812 Put -8, 14, 112, 12, -2 in ascending order. -8, -2, 12, 14, 112 Put 1, 49005, 5, -2, 3, -4, 0.01 in decreasing order. 49005, 5, 3, 1, 0.01, -2, -4 Sort -5, 716, -4, 1, -19 in decreasing order. 716, 1, -4, -5, -19 Sort -7514, 633, 2 in descending order. 633, 2, -7514 Put -127, -174, 4, -93 in descending order. 4, -93, -127, -174 Put 0, 4, -0.3, 707/2, -100, 6 in increasing order. -100, -0.3, 0, 4, 6, 707/2 Put -37, 3, 63, 14, -4 in decreasing order. 63, 14, 3, -4, -37 Sort -5412, 0.1, -16/3, 286. -5412, -16/3, 0.1, 286 Sort 2, -3/8, 3, -0.1685, -3, 150 in increasing order. -3, -3/8, -0.1685, 2, 3, 150 Put -44, 315, -1, 0.06, 1/8, 11 in decreasing order. 315, 11, 1/8, 0.06, -1, -44 Put 3, 10, -589 in ascending order. -589, 3, 10 Sort 41, 2/9, 6456 in decreasing order. 6456, 41, 2/9 Sort 32, -25, 19, 1, 2 in decreasing order. 32, 19, 2, 1, -25 Sort -6, 115.91, -5/3,
{ "pile_set_name": "DM Mathematics" }
s the second biggest value in 3, c, q? c Let x = 44 - 29. Let f be (-1)/3 + (-10)/x. Let p = 11 - 8. Which is the third biggest value? (a) p (b) -3 (c) f b Let h = 0.705 + -0.305. Let f = -0.2 + 0.7. What is the second smallest value in -4, f, h? h Let i = -0.75 + -0.25. What is the second smallest value in i, -1/3, 2/3? -1/3 Suppose 0 = -23*z + 19*z - 16. Which is the smallest value? (a) z (b) -2 (c) 3 (d) 1/2 a Let c = 0.86 + -0.16. Let z = -4.7 + c. What is the third smallest value in z, -5/8, 0.1? 0.1 Let r = 69072 - 8910193/129. Let g = 3/43 - r. Let f = -13 - -9. Which is the second smallest value? (a) g (b) f (c) -3 c Let c = -128 - -380/3. Let y = 3 - -1. What is the biggest value in -6, c, y? y Let g = -1.1 + -3.9. Let w = 1.1 + -5.1. Let o = w - -8. Which is the biggest value? (a) g (b) o (c) -0.1 b Suppose -2*d + 21 = m - 7*d, -3*d + 3 = 2*m. Let i be (-3 + m)/((-3)/2). Let c = 139/180 - 1/45. What is the second smallest value in c, 0, i? 0 Suppose -4*w + 1 = 9. Let k = -60 - -64. Which is the second biggest value? (a) -5 (b) w (c) k b Let u = 0.7 - 1. Let f = -2 - -5. Let x be -3*((-6)/f)/18. What is the third biggest value in -2, u, x? -2 Let g = 0.18 - -0.42. Let u = 0.78 - -0.12. Let y = u - g. Which is the biggest value? (a) 5 (b) 2 (c) y a Let s = -0.3 + 0.2. Let r = 32.2 - 32. Which is the second smallest value? (a) s (b) 1 (c) r c Let y = 0 + 1. Let h be ((-48)/5 - -3) + 6. What is the third smallest value in 4, y, h? 4 Let s be (4/(-50))/(7/(-35)). What is the third smallest value in s, -1, -4, 0.1? 0.1 Let m be 1 + 2 + (-4)/4. Let g be (-14)/8 - (-3)/m. What is the smallest value in -3/2, -2, g? -2 Let o = -10.5 - -7. Let d = 0.5 + o. Let q = 6 + d. What is the biggest value in q, -5, -0.1? q Let y = 2 + -3. What is the third biggest value in 2, 0.2, y? y Let g = 126 + -121. What is the biggest value in 1, g, -0.1? g Let w be (6/(-3))/6*-6. Suppose 5*l = 4*g + 5, w*l = 4*l - 2*g. Let p be (-2)/l - 18/5. Which is the biggest value? (a) -5 (b) 1/2 (c) p b Let t be 2/3*(-6)/(-94). Let l = -108/329 + t. What is the biggest value in l, -1, -3? l Let r = 123 - 122. Let j = -0.1 + 0.1. Let v = -37/3 - -13. What is the second smallest value in j, v, r? v Let l = -15.1 - -15. Which is the second smallest value? (a) -3 (b) l (c) -0.5 c Let a(t) be the third derivative of -t**4/24 + t**3/6 - 2*t**2. Let g be (1/(-1))/(5/(-5)). Let n be a(g). What is the third smallest value in -3, 3/7, n? 3/7 Let g = -40/9 + 43/9. Let t be 1 - (41/13 + -2). Which is the second smallest value? (a) t (b) -1/3 (c) g a Suppose -m + 2*m + 9 = q, -2*q = -m - 14. Let p = -20 - -19.8. Which is the biggest value? (a) 0 (b) p (c) q c Let f = -7 + -0.7. Let j = 8 + f. What is the second biggest value in -3, 2/7, j? 2/7 Suppose 0 = -5*r - 2*j + 5*j + 2527, r = j + 507. Let h = -9559/19 + r. Which is the third smallest value? (a) h (b) -4 (c) -2 a Let b be 3 + -2 - 176/3. Let f = -57 - b. What is the second smallest value in f, -0.3, -6? -0.3 Let a(z) = z**2 + z. Let v be a(0). Suppose h + 2*h = v. Let q be 3/((1 - h)*8). What is the second biggest value in q, -4, 3? q Let i = -2.96 - 0.04. Suppose -22 = -2*d - 3*s, d + 19 = 4*d + s. Let t = 3.3 - 0.3. Which is the third smallest value? (a) t (b) i (c) d c Suppose 0 = -4*n - n + 25. Suppose 5*i + 0 = n. What is the third biggest value in 2, i, 1/2? 1/2 Let q be -23*1 + 3 + 0. Let m be q/70 + (-3)/14. Let w be 8/(-6)*3/(-10). What is the third biggest value in w, m, 0? m Let d = 19 - 16. What is the third smallest value in -4/5, -3, d? d Let z = 13 - 13. Let v = -2.99 + 3. Let j = -3.01 + v. Which is the second smallest value? (a) j (b) z (c) 0.1 b Let w = -52/3 + 17. Which is the biggest value? (a) -1 (b) w (c) -4.7 b Let z = 0 + 0.5. Let g = 0.3 + 0.2. Let u = z + g. Which is the third biggest value? (a) u (b) -3/5 (c) 3 b Let o = -0.02 + -8.98. Let z = 8.94 + o. Which is the second smallest value? (a) -1/6 (b) z (c) 1 b Let w be ((-3)/18)/((5/(-20))/(-1)). Which is the smallest value? (a) -2/9 (b) 1 (c) w c Let y = 85 + -75.6. Let f = -18.3 + y. Let s = 9 + f. What is the biggest value in -5/4, s, -0.1? s Suppose 2*s = -2 + 10. Let p(v) = 2 + 4*v - 2*v - 6. Let x be p(s). Which is the smallest value? (a) -4/3 (b) 1 (c) x a Let u = -35 + 40. Which is the biggest value? (a) u (b) 1/4 (c) -1 (d) 2 a Let i = 23.5 - 23. Let w = 0.05 - -0.05. Let k = 1 + -2. Which is the third biggest value? (a) k (b) w (c) i a Let g = -2 - -2. Let j = 3 - g. Let z = 2/147 - 17/49. Which is the second biggest value? (a) -1 (b) j (c) z c Let w(r) = -1 - 4 + r**2 + 4. Let q be w(-1). Let o = 3.6 - 0.6. What is the third biggest value in o, q, 2/7? q Let z = 16 + -18. Suppose 3*o + 0*o - 12 = 0. Let j = -1.5 - -2. What is the second smallest value in o, j, z? j Let l = 493/12 + -41. Which is the second smallest value? (a) -0.08 (b) 1 (c) l c Let h be 0 - (0 - (0 + 0)). Suppose -5*r + 60 = 4*w, -28 = -4*w - 4*r + 36. Suppose 8*t = 3*t - w. Which is the second biggest value? (a) t (b) -2/5 (c) h b Let z be (-10)/(-25) + 16/(-15). Let l = -1 - 0. Let q be (1/8)/(l/10). Which is the third biggest value? (a) q (b) z (c) 7 a Let n = -0.1 - 0.9. Let s = n + 0.8. Let q = -2.5 - -1.5. Which is the biggest value? (a) s (b) q (c) -0.3 a Let i = -0.056 + 5.056. Let l = 11.21 + -0.21. Which is the third smallest value? (a) i (b) l (c) 0 b Let r be -8 + -3 - (-2 + -2). Which is the smallest value? (a) 4 (b) -0.3 (c) r c Let p = -10 + 16. Let d = -9 + p. Let z = -2 + d. What is the smallest value in -1/4, -3, z? z Let w = -8 + 8.02. Let q = w + 3.98. What is the second smallest value in -3, 3, q? 3 Let n be 3*(2/(-6) - 1). Which is the smallest value? (a) 0.02 (b) n (c) 1 b Let q = 128 - 127. Which is the third biggest value? (a) 2/5 (b) -1 (c) -3 (d) q b Suppose 2*u + 11 + 9 = 0. Let f be ((-10)/25)/(16/u). Let v = 11/3 + -4. What is the second biggest value in 0.5, f, v? f Let t be (5/20)/(6/16). Which is the third smallest value? (a) 1/6 (b) t (c) 0.3 (d) -2/3 c Let k = -0.6 + 1. Let x = k + -0.33. Let s = -3.07 + x. Which is the second biggest value? (a) 0.5 (b) 0.3 (c) s b Let j = 0.03 - -4.97. Let x = 3.013 - 0.073. Let q = -0.06 - x. Which is the smallest value? (a) q (b) j (c) 3/7 a Let y be ((-2)/(-18))/((-10)/(-12)). Let j(d) = -2*d**3 + 10*d**2 + 11*d + 7. Let l be j(6). What is the smallest value in y, 0.2, l? y Let s = 0.1 + 0.2. Let t = -0.01 - 4.99. What is the third biggest value in s, t, -6? -6 Let p = -1.99 + -0.01. Let q be ((-8)/(-6 - 2))/(-4 - -2). Which is the biggest value? (a) q (b) p (c) -0.3 c Let n = 59 - 179/3. What is the fourth smallest value in -6, 2, 4, n? 4 Let k = -5 + 8. What is the third smallest value in -2, -0.4, k? k Let n = -0.06 - -0.16. Let p be (-2)/6 - 86/(-6). Let z be -4*(1 - p/8). What is the third smallest value in -5, z, n? z Let u = 0.066 + -0.166. Which is the smallest value? (a) 3 (b) u (c) -4 (d) -5 d Let l = 5607/29 - 134786/319. Let y = l + 229. Which is the biggest value? (a) 0.4 (b) -4 (c) y a Let i = -101 - -102. Let g be 6/15 + 36/10. Which is the second biggest value? (a) i (b) 0 (c) g a Let f = 304 + -2120/7. Which is the biggest value? (a) 2/13 (b) 5 (c) f b Let k = 5 + -3. Let o be 42/9 + k/6. Which is the third biggest value? (a) -0.4 (b) -2 (c) o b Let w = -4.06 - -4. Let n = 0.04 - w. Let h = 6551/46 + -285/2. What is the third smallest value in -2/7, h, n? n Let n(x) = x + 4. Let u be n(0). Let h be u/14 - (-230)/(-315). Let l = 0.08 + 2.92. Which is the smallest value? (a) l (b) 1 (c) h c Let u(r) = r - 8. Let w be u(8). What is the fourth smallest value in -5, w, -4/11, 4? 4 Let y be 3*8/12 + 1. Which is the second biggest value? (a) 1 (b) y (c) -2 a Let y = -16.3 - -16. What is the biggest value in 0.2, y, 2, -0.2? 2 Let g = -155/2 - -75. What is the third smallest value in 2, g, -1/15? 2 Suppose 0 = 3*k + 2 + 1. Which is the second smallest value? (a) 4 (b) -4 (c) k c Let x be 2/(-9) + (-129)/(-216). Let t = 0.1 + -0.3. Let p = t - -0.6. Which is the third biggest value? (a) p (b) x (c) 5 b Let z = -38 + 110/3. What is the fourth biggest value i
{ "pile_set_name": "DM Mathematics" }
ent from sdtsssdshdkskdkhtdss. What is prob of sequence sdk? 1/57 Three letters picked without replacement from {f: 1, r: 7}. What is prob of sequence rfr? 1/8 Two letters picked without replacement from {x: 9}. Give prob of sequence xx. 1 Three letters picked without replacement from uuiiuii. What is prob of sequence uii? 6/35 Two letters picked without replacement from luglgmhr. What is prob of sequence uh? 1/56 Calculate prob of sequence ffff when four letters picked without replacement from {r: 2, f: 12, y: 5}. 165/1292 Three letters picked without replacement from {m: 7, f: 2}. Give prob of sequence mfm. 1/6 Calculate prob of sequence zpz when three letters picked without replacement from zpzpppzzzp. 5/36 Three letters picked without replacement from {f: 6, j: 4}. Give prob of sequence jjf. 1/10 Calculate prob of sequence kw when two letters picked without replacement from {k: 3, d: 1, w: 3, g: 2, p: 2, t: 1}. 3/44 Two letters picked without replacement from {f: 1, t: 5, b: 3}. Give prob of sequence fb. 1/24 Two letters picked without replacement from {q: 3, a: 2, p: 5}. What is prob of sequence qq? 1/15 Four letters picked without replacement from {x: 4, f: 1, n: 1, w: 4, t: 1}. Give prob of sequence xtnw. 1/495 Two letters picked without replacement from mjgmmmjjmjmmmm. What is prob of sequence mj? 18/91 What is prob of sequence sst when three letters picked without replacement from {t: 6, s: 2}? 1/28 Four letters picked without replacement from {y: 2, d: 1, a: 1, p: 1, r: 1, k: 1}. What is prob of sequence paky? 1/420 Two letters picked without replacement from {b: 8, r: 6, x: 1}. Give prob of sequence bb. 4/15 Calculate prob of sequence bc when two letters picked without replacement from {b: 3, c: 8}. 12/55 What is prob of sequence mmdm when four letters picked without replacement from dmmmmmmmmd? 2/15 Three letters picked without replacement from {v: 1, w: 3, j: 2, s: 2, o: 2, t: 2}. What is prob of sequence oww? 1/110 What is prob of sequence xxr when three letters picked without replacement from xcxxscscscscrcssrscr? 1/380 What is prob of sequence lwlt when four letters picked without replacement from ftttffwflfwtl? 2/2145 Two letters picked without replacement from uuszzusrsrsslsupslus. What is prob of sequence sr? 4/95 Calculate prob of sequence waw when three letters picked without replacement from {w: 2, a: 3}. 1/10 Calculate prob of sequence lm when two letters picked without replacement from mllm. 1/3 Three letters picked without replacement from {w: 1, n: 4, u: 2, e: 2, v: 3, y: 2}. What is prob of sequence yen? 2/273 What is prob of sequence hu when two letters picked without replacement from {c: 2, h: 3, u: 10}? 1/7 What is prob of sequence ss when two letters picked without replacement from wfswwfswcwfjp? 1/78 Three letters picked without replacement from jxjxjxjpxpx. What is prob of sequence ppx? 1/99 Three letters picked without replacement from {o: 1, m: 1, s: 3, y: 1, n: 1}. What is prob of sequence nso? 1/70 Four letters picked without replacement from {e: 4, i: 14}. Give prob of sequence eiie. 91/3060 Four letters picked without replacement from {f: 1, h: 7, d: 2, x: 1, t: 7}. What is prob of sequence hxth? 49/12240 Three letters picked without replacement from {x: 2, s: 2, z: 1, f: 3, e: 5, n: 7}. What is prob of sequence xee? 1/171 Two letters picked without replacement from ohooqoyoqoohooqooj. What is prob of sequence jy? 1/306 What is prob of sequence ga when two letters picked without replacement from iigiiiaigggfig? 5/182 Three letters picked without replacement from vuvuvuuuuuuuuuuvuu. What is prob of sequence uvu? 91/612 What is prob of sequence oxb when three letters picked without replacement from {x: 4, o: 1, k: 2, b: 10}? 1/102 Two letters picked without replacement from qiqqqiiqiiiqqiii. What is prob of sequence ii? 3/10 Calculate prob of sequence qq when two letters picked without replacement from {q: 3, t: 15}. 1/51 Calculate prob of sequence kxxk when four letters picked without replacement from {y: 4, k: 8, x: 8}. 392/14535 What is prob of sequence wsff when four letters picked without replacement from fffffwgfsfggfffwyf? 11/3672 What is prob of sequence uuu when three letters picked without replacement from {d: 3, v: 4, u: 6, i: 4, m: 3}? 1/57 Calculate prob of sequence shhh when four letters picked without replacement from hghshsxszshs. 1/99 Two letters picked without replacement from ysysyrsymyysyyy. Give prob of sequence sm. 2/105 Calculate prob of sequence eg when two letters picked without replacement from vcegd. 1/20 What is prob of sequence fqq when three letters picked without replacement from {f: 4, q: 2, n: 8, h: 2}? 1/420 Four letters picked without replacement from {s: 3, u: 1, y: 2, k: 2, e: 6, v: 1}. What is prob of sequence eeku? 1/546 What is prob of sequence ie when two letters picked without replacement from eiiieiieieiiiiiieeae? 21/95 What is prob of sequence kkwq when four letters picked without replacement from {k: 2, w: 4, q: 1}? 1/105 What is prob of sequence nmd when three letters picked without replacement from pnpcdlmn? 1/168 What is prob of sequence un when two letters picked without replacement from {i: 2, u: 5, r: 1, n: 1, e: 1}? 1/18 Two letters picked without replacement from {l: 1, k: 3, i: 6, c: 2}. Give prob of sequence cl. 1/66 Calculate prob of sequence aa when two letters picked without replacement from {w: 1, u: 4, a: 3, j: 1, d: 7}. 1/40 Calculate prob of sequence ah when two letters picked without replacement from {a: 1, n: 3, h: 4, i: 4, g: 1, o: 1}. 2/91 Four letters picked without replacement from quyuyyyyqnuy. Give prob of sequence qynu. 1/330 Calculate prob of sequence fh when two letters picked without replacement from jjfjhhfjjjhjhffhhh. 14/153 Two letters picked without replacement from {a: 8, x: 2}. Give prob of sequence xa. 8/45 Four letters picked without replacement from wnknbkkkkkwnbkqwbk. What is prob of sequence kwkn? 7/1020 Calculate prob of sequence gr when two letters picked without replacement from {p: 8, t: 3, y: 1, n: 1, r: 5, g: 2}. 1/38 What is prob of sequence cqo when three letters picked without replacement from qwwowcc? 1/105 Two letters picked without replacement from rrrrssrr. Give prob of sequence ss. 1/28 Four letters picked without replacement from mmljlbllllblmjjjjlm. What is prob of sequence mmjl? 5/969 What is prob of sequence ttgt when four letters picked without replacement from {t: 8, g: 2}? 2/15 Four letters picked without replacement from jjzmzjjjjjzjjzjjmjz. Give prob of sequence zjzz. 5/646 Four letters picked without replacement from {j: 4, h: 5, y: 1, w: 3}. Give prob of sequence wwyj. 1/715 Calculate prob of sequence xxa when three letters picked without replacement from jaaxx. 1/15 Four letters picked without replacement from mjjjmjm. Give prob of sequence mjjj. 3/35 Calculate prob of sequence nunn when four letters picked without replacement from {u: 3, n: 4}. 3/35 Three letters picked without replacement from {d: 2, u: 5, e: 5}. Give prob of sequence deu. 5/132 Calculate prob of sequence llk when three letters picked without replacement from {l: 1, k: 6, w: 4}. 0 Four letters picked without replacement from {m: 1, s: 19}. Give prob of sequence ssms. 1/20 Calculate prob of sequence pktd when four letters picked without replacement from {d: 2, k: 1, p: 1, t: 1}. 1/60 Three letters picked without replacement from {y: 2, n: 3, f: 8, d: 2}. What is prob of sequence dyf? 16/1365 What is prob of sequence zgu when three letters picked without replacement from {z: 4, u: 1, g: 2}? 4/105 Two letters picked without replacement from gggg. Give prob of sequence gg. 1 What is prob of sequence vp when two letters picked without replacement from eiphphvhpviyhhh? 1/35 Calculate prob of sequence xbg when three letters picked without replacement from {g: 1, x: 4, b: 7, o: 1, e: 3}. 1/120 What is prob of sequence ii when two letters picked without replacement from {i: 2, x: 1, j: 1}? 1/6 Two letters picked without replacement from krkuugbt. What is prob of sequence kk? 1/28 Two letters picked without replacement from {y: 4, o: 6}. Give prob of sequence oy. 4/15 Two letters picked without replacement from xxxx. What is prob of s
{ "pile_set_name": "DM Mathematics" }
24. 341/12 Calculate -313473 divided by 1. -313473 Divide 16625 by 95. 175 Calculate 213 divided by 577. 213/577 Calculate -10810428 divided by -2. 5405214 646698 divided by 215566 3 -17535 divided by -11 17535/11 Divide -10800 by 20. -540 Calculate 80 divided by -1032. -10/129 What is 85239 divided by -41? -2079 -2743766 divided by 29189 -94 Divide -31808 by 3976. -8 What is 110101 divided by 6? 110101/6 -348488 divided by -343 1016 Calculate 67 divided by 10402. 67/10402 Calculate 2681523 divided by -43. -62361 Calculate 3285392 divided by 821348. 4 What is 980736 divided by -1277? -768 Calculate -2 divided by 648034. -1/324017 -30 divided by -140156 15/70078 Calculate 2793 divided by -614. -2793/614 Divide 2023560 by -730. -2772 Divide -3105 by 3. -1035 -427610 divided by -61 7010 What is 31 divided by 1811? 31/1811 Calculate -5 divided by 593781. -5/593781 What is 377157 divided by 3? 125719 Calculate 40142 divided by -2. -20071 Calculate -192026 divided by -1. 192026 Divide -88616 by 8. -11077 1989 divided by 221 9 Divide 180636 by 5. 180636/5 Divide -41440 by 20. -2072 Calculate -5 divided by -604617. 5/604617 Divide 1149960 by -840. -1369 What is -12 divided by 20779? -12/20779 Divide 3464752 by -866188. -4 16116 divided by -79 -204 Divide -562716 by -812. 693 What is 6 divided by 16228? 3/8114 Calculate 5010 divided by -167. -30 1131 divided by 3 377 -79031 divided by -16 79031/16 What is -4 divided by -23389? 4/23389 Divide -4 by 6994. -2/3497 Calculate -297009 divided by -1. 297009 Divide -1140900 by -4. 285225 Divide 62304 by -354. -176 -292196 divided by 4 -73049 Divide -245015 by 49003. -5 What is -21236 divided by -5309? 4 Calculate 256 divided by 1081. 256/1081 Divide -19685 by -4. 19685/4 Calculate -5751 divided by -9. 639 -9915 divided by 6 -3305/2 818625 divided by 185 4425 -523 divided by 163 -523/163 128 divided by 1913 128/1913 -32132 divided by -277 116 Calculate -60 divided by 25997. -60/25997 What is -2493569 divided by -4? 2493569/4 39339 divided by -3 -13113 -171 divided by 736 -171/736 328 divided by -128 -41/16 Calculate 0 divided by 155304. 0 Calculate 124123 divided by -2. -124123/2 What is 9428 divided by -2357? -4 50570 divided by 5 10114 Calculate -55328 divided by -4. 13832 Calculate -3914662 divided by 6. -1957331/3 -41 divided by 4733 -41/4733 24600 divided by 123 200 What is -28512 divided by -7? 28512/7 What is -6398 divided by 14? -457 Calculate 4957 divided by -9. -4957/9 -661125 divided by -5125 129 Calculate 2954 divided by 179. 2954/179 Divide 4 by 192. 1/48 -37791 divided by 39 -969 What is -429510 divided by 618? -695 716466 divided by -6 -119411 Divide 1686 by 23. 1686/23 Divide -113122 by 6. -56561/3 Calculate 5 divided by -24979. -5/24979 Calculate 437 divided by 208. 437/208 Calculate 6021 divided by -4. -6021/4 267241 divided by 4381 61 Divide 826454 by -1. -826454 Divide -9521 by 50. -9521/50 What is -3981 divided by -38? 3981/38 Calculate 20465 divided by -4. -20465/4 Calculate -189 divided by -177. 63/59 What is 91 divided by -222? -91/222 -19806 divided by -6 3301 Divide -207 by 81. -23/9 Divide -81279 by 5. -81279/5 -4178 divided by 13 -4178/13 Divide 0 by -7449. 0 594415 divided by 5 118883 6396 divided by 1 6396 What is -91 divided by 257? -91/257 What is 11151 divided by -5? -11151/5 Calculate -111180 divided by 27795. -4 Divide -36456 by 12. -3038 Calculate 1 divided by 46857. 1/46857 Calculate -11515 divided by -35. 329 -62280 divided by -1730 36 31304 divided by -4 -7826 Calculate -333300 divided by -33. 10100 What is 234630 divided by 4345? 54 What is 150236 divided by -150236? -1 Divide 519475 by -8. -519475/8 -3 divided by 31895 -3/31895 Divide -78376 by -194. 404 -58146 divided by -2643 22 Calculate -480447 divided by -9. 53383 0 divided by 24529 0 884616 divided by 82 10788 What is -7330854 divided by -6? 1221809 Divide 26880 by -960. -28 Divide 81770 by 10. 8177 Calculate -1 divided by 241048. -1/241048 What is 4279 divided by -115? -4279/115 What is 542156 divided by -10? -271078/5 What is -8669 divided by -7? 8669/7 Calculate -257412 divided by 1. -257412 What is 8 divided by -33877? -8/33877 What is 1350 divided by -34? -675/17 49 divided by 1718 49/1718 381594 divided by 190797 2 Divide -1279408 by -24604. 52 2286556 divided by 571639 4 What is -42790 divided by -4? 21395/2 Calculate 9197280 divided by 95805. 96 468726 divided by 2 234363 What is -538160 divided by -2480? 217 What is -4 divided by 11274? -2/5637 What is 199236 divided by 8? 49809/2 671475 divided by -3 -223825 What is 21 divided by -509? -21/509 What is 186481 divided by -6? -186481/6 What is 14862 divided by -34? -7431/17 Divide 575896 by -143974. -4 126 divided by 5072 63/2536 Divide -57304 by -754. 76 Divide 17956 by 134. 134 -79745 divided by -6 79745/6 Calculate -10648 divided by -11. 968 11825 divided by -2 -11825/2 2271625 divided by -425 -5345 4 divided by 58405 4/58405 -283 divided by -4635 283/4635 -62934 divided by 1851 -34 Divide 565370 by -13. -43490 Calculate -42866 divided by 6. -21433/3 What is 0 divided by 294667? 0 Divide -706536 by -176634. 4 What is -46296 divided by 643? -72 What is -276376 divided by 3? -276376/3 Divide 1 by -52806. -1/52806 What is 57033 divided by -6? -19011/2 Calculate 83 divided by 13112. 83/13112 Calculate 750041 divided by -750041. -1 -75923 divided by -75923 1 -382244 divided by 95561 -4 What is 30 divided by 13986? 5/2331 -250 divided by -14414 125/7207 -6 divided by 91 -6/91 0 divided by -1362 0 What is -4386 divided by 30? -731/5 What is -83237 divided by 8? -83237/8 Divide -96997 by -1. 96997 Divide -130 by -1553. 130/1553 Divide -9 by 76672. -9/76672 Calculate -98458 divided by -10. 49229/5 What is -939635 divided by -5? 187927 What is 185 divided by -217? -185/217 -47872 divided by 22 -2176 -101563 divided by -5 101563/5 Calculate 7552494 divided by 2. 3776247 Divide 0 by 148507. 0 Divide -1960 by 14. -140 What is -7749 divided by 107? -7749/107 What is 18060 divided by -6? -3010 109676 divided by 2 54838 What is 17029 divided by 59? 17029/59 What is 187294 divided by 4? 93647/2 Divide -28380 by 6. -4730 Divide -8108972 by 2. -4054486 Divide -4042710 by -805. 5022 What is 68 divided by -611? -68/611 Divide -211176 by 12. -17598 9 divided by 37595 9/37595 Divide 447704 by -2. -223852 Calculate -2168 divided by 9. -2168/9 Divide -1264071 by -5. 1264071/5 What is 46 divided by -68955? -46/68955 2 divided by 16874 1/8437 What is -34765 divided by 6953? -5 What is -540 divided by 91? -540/91 88220 divided by -2005 -44 Calculate 846480 divided by 169296. 5 514890 divided by 3 171630 20223 divided by 22 20223/22 What is 95940 divided by -4? -23985 What is -730863 divided by -34803? 21 0 divided by 96922 0 Calculate 6 divided by -6355. -6/6355 Calculate 557098 divided by 2. 278549 What is -2351 divided by 86? -2351/86 3 divided by -46000 -3/46000 Calculate 63 divided by -397. -63/397 55388 divided by 13847 4 1993644 divided by 332274 6 What is 2599526 divided by 1? 2599526 Calculate 2 divided by -12247. -2/12247 Calculate 440010 divided by -9. -48890 What is 22 divided by 1290? 11/645 What is -567 divided by 6464? -567/6464 627060 divided by 125412 5 4266 divided by -95 -4266/95 Divide -22344 by 1862. -12 Divide -37633 by 37633. -1 What is 749835 divided by 7893? 95 Calculate 658483 divided by -2. -658483/2 What is -2885771 divided by -7? 412253 What is -380227 divided by -3? 380227/3 -2 divided by -136191 2/136191 Calculate -3147 divided by -570. 1049/190 -4029750 divided by 6 -671625 -7602 divided by -105 362/5 -75972 divided by 2 -37986 Calculate 5430192 divided by 4. 1357548 Calculate 3815096 divided by 4. 953774 Calculate 1 divided by 14599. 1/14599 49890 divided by -2 -24945 Calculate -1784822 divided by -19. 93938 -55950 divided by -5 11190 4232046 divided by -92001 -46 Divide 58308 by -17. -58308/17 Divide 154 by -2887. -154/2887 Calculate -6309 divided by 30. -2103/10 Divide 39494 by 5642. 7 Calculate -7789 divided by -1. 7789 Calculate 64 divided by 3801. 64/3801 What is -34973 divided by 41? -853 What is 221 divided by 1296? 221/1296 -239192 divided by 59798 -4 Calculate -5579 divided by 1. -5579 Calculate -101919 divided by -14. 101919/14 What is
{ "pile_set_name": "DM Mathematics" }
pose -4*c = -r*b - 750, -3*c + 923 = 2*c + b. Is c composite? True Suppose -110786 = -9*m - 39389. Is m composite? False Suppose 6*o - o = -10. Let a = o - -909. Is a prime? True Is 61604/(-10)*295/(-118) prime? True Is ((-3240)/(-16) + -4)*1*26 a composite number? True Suppose -366*r + 347 = -365*r. Is r prime? True Let y(p) = 3*p - 2 - 3*p**2 - p + 5*p**2. Let o be (-6 + 150/(-40))/((-3)/4). Is y(o) prime? False Let f = -81 - -91. Let r(j) = 73*j**2 + 6*j - 17. Is r(f) a prime number? False Suppose h + 2 = -2. Is ((-211)/3)/(h/12) prime? True Let u = -13167 + 19156. Is u prime? False Let x(r) = r**2 + 6*r + 7. Let k(j) = -j - 2. Let i be k(3). Let o be x(i). Suppose -s = -5*z + 192 - 466, 0 = 5*s - o*z - 1301. Is s composite? True Suppose k = -3*k. Suppose k = 3*h - 2*h - 5. Suppose -5*i - 4*w + 2363 = 0, -4*i - h*w = -i - 1423. Is i a composite number? True Suppose f + 3*z = 306 + 469, -2301 = -3*f + 3*z. Suppose -4*y + 5*n = -f, -4*y + 761 = -0*y + 3*n. Is y a composite number? False Let o(h) = 464*h - 2. Let q be o(-2). Let p = q - -428. Is (p/(-5))/((-2)/(-5)) composite? False Is 18108084/184*(-2)/(-3) a prime number? True Let b(f) = -378*f + 1. Suppose -q + 5 = 2*n, 0 = -q - 4*q - 4*n + 7. Is b(q) composite? False Suppose 42*x - 36*x = 22926. Is x a prime number? True Let x(n) = -n**3 - 17*n**2 + 14*n - 9. Let p be x(-18). Is (-9)/p - (-44)/14 - -4508 a composite number? True Is 2/9 + (6 - 4750630/(-90)) prime? False Is ((-1537431)/(-6))/7 + (-60)/(-40) composite? False Let n = -16 - -18. Suppose 0 = -2*t + 3*t - n*a - 399, -2*a - 1955 = -5*t. Is t a prime number? True Suppose 0 = 3*u - 2*y - 16, -2*u + 5*y + 17 + 1 = 0. Suppose 0 = u*m - 20. Suppose -m*n + 925 = 2*g + 2*g, -4*g = n - 185. Is n prime? False Suppose 5*g - 12 = 3*g. Suppose f - 1 - 2 = 0, -3*p + 5*f = 27. Is (p/g)/(22/(-15411)) composite? False Let r(j) = -j**3 + 18*j**2 - 6*j - 5. Let p(l) = -8*l - 5. Let a be p(-2). Let g be r(a). Suppose 3*n = -n + g. Is n a composite number? True Suppose -6 + 25 = -m + 5*w, 0 = -m - w + 11. Suppose 16762 = m*s + 3004. Is s prime? True Let q(d) = -31*d - 14. Let g be q(3). Let r = 498 + g. Is r a composite number? True Let i = 1440 - 643. Is i prime? True Let l = -2003 - -5650. Is l prime? False Is (-1)/2*(-25)/(100/190856) a prime number? True Let x be 69/18 - (-2)/12. Suppose 4 = x*j - 2*j. Suppose 807 = 5*o - 2*g - 0*g, o - 171 = -j*g. Is o a composite number? False Suppose 0 = -5*r - 5*p, -3*r - 2*p + 3 = 1. Suppose r*f - 106 = -b, 173 = 3*f - 2*b - 0*b. Is f prime? False Let i(n) = n**3 + 9*n**2 + n + 15. Let j be i(-9). Suppose -g + j*g = 5945. Is g a composite number? True Let k be 46/(-10) + 2/(-5). Let d(b) = -2*b + 11 + 9*b**2 + 9 + 6*b - 8. Is d(k) a composite number? True Let b(n) = 2 + 1 - 4 + n - 148*n**3 - 3*n. Is b(-1) a composite number? False Let p(t) = t**3 - 41*t**2 - 23*t + 44. Let k(f) = -f**3 - f**2 - f - 1. Let j(c) = 3*k(c) + p(c). Is j(-22) composite? False Suppose -20 = 4*q, -4*q + 64 = 3*m - 168. Suppose j + m = 2*t + 21, -5*t + 2*j = -159. Is t a composite number? True Let q be (-3)/(-5) + 0 + (-3410)/(-25). Suppose -3*x = -q - 424. Is x composite? True Let v(d) = d**3 - 2*d**2 + 3*d - 2. Let t be v(2). Suppose -t*x + 12 = -0*x. Let s(i) = 12*i + 3. Is s(x) a composite number? True Suppose -48 = -8*i + 5*i. Let y = -16 + i. Suppose 0 = -4*c + j + 149, 2*c + c - 5*j - 116 = y. Is c prime? True Suppose -5 = -5*v, 4*m + 5*v = 10 + 11. Suppose -d - m*i = 3*d + 4, -3*d - 2*i - 2 = 0. Suppose -136 = -3*r - 5*l + 151, -2*r - 3*l + 190 = d. Is r prime? True Suppose -75044 = -9*i - 9875. Is i composite? True Suppose 9*b + 187 = -164. Is -289*(45/b + (-6)/(-39)) a composite number? True Let n = 649 - 198. Is n prime? False Suppose -6*c + 20 = -8*c. Let x = c - -92. Let j = 121 - x. Is j a prime number? False Suppose 2*r - 5*o - 6135 = 0, 3060 = r + 2*o + 3*o. Is r a composite number? True Let u(f) = 18*f - 346. Let m be u(18). Let n(l) = 21*l + 1. Let y be n(2). Let b = y - m. Is b a composite number? True Let p(z) = 5*z - 7. Let x be p(2). Suppose x*j = 0, 2*j - 2495 = -5*t - 2*j. Is t prime? True Suppose -16 + 8 = -4*m. Suppose -m*g = -6*g + 20668. Is g a composite number? False Let w(f) = -3095*f + 107. Is w(-10) a composite number? True Let y = -230 + 243. Let f be (78/5)/((-6)/(-20)). Is 1077/y - (-8)/f a composite number? False Let x(f) = f**2 - 4*f - 1. Let t be x(3). Is (-2)/t - (-3810)/4 a prime number? True Suppose 7371 = 7*p - 2114. Suppose -f - 4*m - p = -2*f, -1371 = -f - 4*m. Is f a composite number? True Let n(x) = 5*x - 178. Let i be n(0). Let p = 881 + i. Is p a composite number? True Let y = -6322 + 12291. Is y composite? True Let v = 325 - -552. Is v a composite number? False Let t be 1882/(-4 + (-6)/(-3)). Is t/(-4) + 6/(-24) a prime number? False Suppose -12*b + 52 - 196 = 0. Is b/(-8)*(-2062)/(-3) prime? True Let n = 10104 + -24371. Let y = n - -22557. Is y/25 - (-6)/(-10) a composite number? False Is (48007 + 123)*2/4 prime? False Suppose -3*n + 10 = 2*n. Suppose u = -4*l + 687, -2*l + 330 = n*u - 6*u. Suppose -2*t + 97 = -l. Is t prime? False Let i = -3965 - -9588. Is i a composite number? False Let f(b) = -525*b**3 + b**2 + b - 1. Is f(-2) a prime number? True Let k be (-2)/(-13) - 24/(-13). Suppose k*f + 2*r = 2, 5*f - 3*r + 2 = -r. Suppose -3*n + 5*u = -f*n - 767, u = 4*n - 1000. Is n a composite number? True Let n = -1646 + 2836. Suppose 8*b - n = 3*b + i, b = 5*i + 262. Is b composite? True Is 614/(33/(-66)*(-8)/74) a composite number? True Suppose 87 = j - 0. Let a = j - 73. Is a prime? False Let q = -25 - -29. Suppose -q*m = 8*m - 5352. Is m composite? True Let w(p) = p + 7. Let s be w(3). Let h = s - 6. Suppose -j + h = -3*j, -2*l - j + 364 = 0. Is l prime? False Let l be -8*((-5)/(-4))/(-5). Let o be ((-4)/6)/(l/9). Let v = 18 - o. Is v prime? False Let m(u) = u**3 + 4*u**2 + u - 1. Let j be m(-2). Suppose 0*t - 1058 = -t + i, j*i = 15. Is t composite? False Let f(l) be the third derivative of 138*l**5/5 + l**4/12 - l**3/6 - 11*l**2. Is f(1) a prime number? True Suppose -7*b + 10*b - 1056 = 0. Suppose 2*p = 4*p + b. Is (23/(-4))/(4/p) a prime number? False Let r(q) = 38*q**3 + q**2 - 7*q + 12. Let d be r(2). Suppose 0 = -5*y - 2*g - g + 518, 0 = 5*y - 3*g - 512. Let k = d - y. Is k a prime number? False Let g be (-2)/(-3) - 13916/(-6). Suppose 4*p - g = -k, 2320 = 4*p + 5*k - 3*k. Suppose 4*d = -3*h + 7*h + p, -145 = -d + 4*h. Is d prime? False Let x = -13476 - -22565. Is x composite? True Suppose 6*l - 7*l + 9 = 0. Suppose 0 = 6*d - 3 - l. Suppose -k = -d*k + 33. Is k a prime number? False Let f(m) = m**2 - m + 2. Let y be (-24)/18 - 8/(-6). Let o be f(y). Suppose -g + 43 = -0*g + 5*n, 0 = -5*g - o*n + 169. Is g prime? False Let q(y) = -y**3 - 3*y**2 - y - 2. Let b be q(-3). Suppose -4*s + b = a + 6, -5*s - 6 = a. Let u(r) = -161*r**3 + r**2 + r. Is u(a) composite? True Is ((-8)/40*3898)/((-4)/10) a composite number? False Suppose 14*m - 11*m + 5*z = 79207, 4*m - 3*z - 105648 = 0. Is m a prime number? False Let x be (-1)/4 - 142188/(-48). Let g = 7073 - x. Is g a prime number? True Let k = 13 - 1. Suppose k*v = 15*v - 1434. Is v composite? True Let q(f) = 129*f - 35. Is q(2) composite? False Let j(r) = -2*r - 4. Let b(t) = -2*t - 5. Let g(x) = 3*b(x) - 4*j(x). Let n be g(1). Suppose 0*h - 381 = -n*h. Is h prime? True Suppose -13*b + 65418 = -124655. Is b composite? False Let o = 34 - 29. Is (6692/8)/(o/10) a composite number? True Suppose 8067 = 9*z - 3687. Is z a prime number? False Suppose -n - 507 = 2*j, -j + n = 196 + 50. Let d = 86 - j. Is d a prime number? True Suppose -2*c = 3*c + 2*j - 31, 4*j - 12 = 0. Is ((-526)/4)/(c/(-30)) a composite number? True Suppose -51 = -4*l - 11. Is 4/l + (-32652)/(-20) + 4 a composite number? False Let s = 27 - 8. Let b(p) = p - 6*p - 2*p - s. Is b(-8) a prime number? True Let x be ((-15)/(-12))/((-1)/(-4)). Suppose -x*v - 30 + 955 = 0. Is v a prime number? False Suppose -13211 = -4*m + 5*j, 0 = -0*m - m + 4*j + 3289. Suppose 0 = -2*v + 2*b + 2206, -3*v - 4*b + m = -8*b. Is v a composite number? False Let s(c) = 43*c**3 - 3*c**2 + 14*c + 5. Let o be s(6). Suppose 9272 = 4*w + 4*b, b - o = -2*w - 2*w. Is w a prime number? False Is -3 - 5911*
{ "pile_set_name": "DM Mathematics" }
) + -15 - (-22 - -12). 31 (-8 - (69 + 25)) + -2 + 8 + 10 -86 Calculate 1119 + -1111 - (-27 - 3). 38 What is 4 - (-13 + -52 + 37)? 32 What is the value of -214 + 191 + -7 + 4 + -44? -70 Evaluate -7 + 2 + 13 + (4 - 8) + 11 - -6. 21 (271 + -73 - 105) + -91 2 What is the value of -2 + -57 - (-2149 - -2054)? 36 What is the value of -13 + (-88 - -20 - -11) - -12? -58 What is -100 + -35 + 141 + 1 + -40? -33 Calculate -1874 - -1879 - (0 + (1 - 16)). 20 Evaluate -2 + 14 + 3 + -26 + -8 - -24. 5 Evaluate 12 + (10 - 18) + -2 + 13 - 99 - -7. -77 Calculate 5 - ((-17 - ((-17 - -19) + -17)) + 102). -95 Evaluate -96 - (-135 - 65) - 41. 63 -175 + (129 - -19) - (0 - 34) 7 Calculate -19 + -2 - (25 + (-99 - -70)). -17 What is the value of -7 + (-29 - -12) + (38 - 6)? 8 Evaluate -13 + (-1 + (-2 - -3) - (-340 + 332)). -5 What is the value of -1 + -31 + -2 + (-125 - -135)? -24 What is the value of -1034 - -976 - (-11 + 4)? -51 What is the value of 488 + -527 + 0 + 36 + 88? 85 Calculate 27 + 30 + (-13 - (33 - 17)). 28 What is (2 - 4 - (3 + -50)) + -10? 35 Evaluate (40 - -2) + -47 - -12. 7 (10 - ((22 - -15) + -8)) + 67 48 What is the value of -5 + 5 + -64 + -82 + 76 - 1? -71 What is the value of -42 - -40 - (-39 + 1) - (-2 + 13)? 25 Evaluate -1 + -3 + (-59 - (-7 + -6) - 32). -82 What is (-8 - (-1 - 2)) + 2 - 3 - (-443 - -396)? 41 -69 - -65 - -23 - (3 - -75) -59 Calculate (-1 - (0 + (0 - 49))) + 2868 + -2857 - -7. 66 What is the value of 48 + -99 + 129 + -68? 10 What is the value of -48 - (13 - 86) - 63? -38 What is the value of -48 + -30 + -27 + 87? -18 (-14 - (-8 - 14)) + -9 + -32 + (2 - 4) -35 Calculate 23 + -38 + 8 - (46 - -48). -101 Evaluate -76 - (28 + (-81 + 12 - -34)). -69 What is 1 + (3 - 3) - -2 - -49 - (5143 - 5152)? 61 What is (-3 + 2 - (3 + 5)) + 3 + -1 + -29? -36 What is 43 + (-34 + (97 - 16) - 39)? 51 What is -17 + 24 + (-12 - (8 - -21))? -34 What is the value of (-1 - -18 - -32) + (9 - (19 + -9) - -7)? 55 17 - 6 - (-14 + (21 - -17)) -13 What is -20 - (-2 - 18 - (92 + -101))? -9 14 + 2 + 4 + -14 - 9 - (-3 + 12) -12 Calculate (5 - -1) + (-28 - (-9 + -37) - (0 - -90)). -66 Evaluate -5471 - -5438 - (1 - (0 + -34)). -68 Evaluate (5 - 21) + -42 + 61 + 26. 29 Evaluate 35 + (-10 + 2 - (-187 - -179) - 16). 19 Evaluate (-5 - -5) + 11 + 0 - (-66 - -208). -131 What is -10 + ((79 - 51) + -79 - (-7 + 1))? -55 231 - (166 - 26) - -31 122 -1 + -13 + (61 - 18) + -40 -11 Evaluate (3 + -37 + 9 - -52) + (14 - -1). 42 Calculate -192 + (87 - 48 - -49). -104 What is the value of (-26 - (123 + -117)) + -63? -95 Calculate -1 - 0 - (-2 + 1) - ((287 - 181) + -181). 75 3 + 0 + 2 - (-33 + 64 + -12 - 57) 43 8 + (-2 - 43) + 38 1 Evaluate -613 + 734 + -86 + -4. 31 Calculate -20 + -107 - -81 - (70 + -1). -115 Calculate (-29 - -1) + (-662 - -672) - -50. 32 -71 - -43 - ((11 - 3) + 22 + -23 - 11) -24 Evaluate -34 - (37 + -131 + 53). 7 Calculate -379 + 316 + (105 - -8). 50 What is the value of (69 - (-38 - -3)) + -1 + -8 + 32? 127 What is (-47 + -14 - -49) + -15 + -3? -30 7 + 24 + -16 + (-5 - -6) + 7 23 Evaluate 30 - (123 + -30 - 21). -42 Evaluate 2 + (-42 - (17 - 28)). -29 Calculate 76 + 0 + (2870 - 2926). 20 Calculate -1 + -36 + (-8456 - -8456). -37 What is (-6 - (-8 - (-24 + (18 - 7)))) + 27? 16 -42 - (-44 + (-16 - -22)) -4 What is (6119 - 6110) + (1 - (0 - -2 - -1)) + -9? -2 -47 + (-26 - -25) - (-57 + -68) 77 Calculate (4 - (-1 + 4 + -4)) + -75 + (-10 - -19). -61 (-4487 - -4474) + -3 + 2 + (-2 - (-1 + 1)) -16 What is 0 + 54 - (-32 + (23 - -6) - (1 + -11))? 47 What is -17 + (7 - 29 - -15 - -42)? 18 What is the value of -2 + -1 + -1 + (317 - (99 - -125))? 89 What is (-8 - -6) + (54 + 47 - 83)? 16 Calculate 37 - (46 + -53 + 104). -60 (376 - 386) + (-2 - (-5 + 0)) -7 What is the value of 59 + -1 + 1 + 61 + -34 + (-46 - -12)? 52 Calculate -20 + 1 + -10 + 11 + -10 + 10. -18 Calculate (-120 - -123 - ((-3 - -24) + -6 + 10)) + 4. -18 What is the value of -111 + -146 + (54 - -163)? -40 What is -6 + 5 - (3 + (5 - -17) - (-2 - -8))? -20 What is the value of (-133 - -199) + -53 + 59? 72 What is the value of (6 - (26 + 8)) + 2 + -9 + 7 + -7? -35 15 + (-4 - 0) + (65 - 85) + 127 118 Calculate (6 - ((21 - (14 + -9)) + -97)) + (2 - -2). 91 What is -22 + (-15 + -10 - (-2 + -1))? -44 Evaluate (-56 - -5) + 1 + (423 - 456). -83 9 + -3 - (2 + -2 - -10) - (-3 - 34) 33 What is the value of (40 - 97 - -147 - 49) + -1 + 13? 53 Calculate (1 - 11) + (6 - 4) - (-174 + 73 + 184). -91 What is (9 + -2 - (-2 - -4)) + 15 + (95 - 89)? 26 What is the value of -3433 + 3442 + (-1 - ((-1 - -3) + -11))? 17 Calculate -19 + -114 + 126 + -55 + 1. -61 Evaluate -11 + (16 - 6) + (-3 - -10). 6 Evaluate 3 + 5 - (-6 + 16) - (-9 + 16 + 73). -82 (-8 - (-76 + 16)) + -4 + 12 60 What is the value of -6 + (11 - (-7 - -4)) + 4 + -2 - -7? 17 -2 - (-11 + -5 + 15) - (14 + -3) -12 Evaluate 82 + -82 - (-1 + -2 - 3 - 58). 64 Evaluate -29 + 5 + (-7 - 5 - 0) + 121 + -118. -33 Evaluate -44 + 37 + 56 + -1. 48 What is the value of 0 + (0 - 6) - (5 - (98 - -1)) - 10? 78 Calculate (14 - 3) + 1 + 166 + -256 + -11. -89 1 + (2 - 16) - (-117 - -140 - 8) -28 What is (19 - (-15 + 2 - (112 - 147))) + (0 - -90)? 87 -2172 - -2195 - (44 + 3 + -1) -23 Evaluate -4 - -1 - (11 + 1) - (-181 - -174). -8 346 + -166 - (67 + 86) 27 (-11 + 40 - -25) + -40 14 29 + (-29 - -1) + 16 + (-2 - -52) 67 -16 + -1 + -148 + 205 + -26 14 Calculate (-21 - (-11 - 27)) + (116 - 197). -64 What is the value of 8 - (-2 + -11) - (2 - 11)? 30 Calculate -46 - (-109 + 82 + 7). -26 What is 41 + 17 + 30 + -113? -25 -25 + 1 + -9 + 38 + -5 0 What is the value of -65 + 116 + -2 + -18 - 0? 31 What is the value of 24 - (54 + -62 - -23)? 9 Calculate -10 + -5 + 1 + (-6 - -6). -14 Evaluate -78 - (-3 + -4 + 13 - (-2 - -10)). -76 Evaluate 20 - 3 - (90 + -83) - (40 - 0). -30 Evaluate 2096 - 2063 - (-14 - -1). 46 Evaluate 1 + -26 + (7 - -86) + -19. 49 Evaluate (-4024 - -4195) + (-1 - 92). 78 What is (5 - (2 + -7 - -14)) + 45? 41 What is the value of 11 + ((4 - 5) + -12 - (1 - 48 - -32))? 13 Evaluate (-26 + 43 - 13) + (-6 - (30 + -2)). -30 Calculate (-823 - -821) + -6 + 6 + -50. -52 (26 - 17) + -7 + 1 - 11 - 83 -91 What is (-268 - -157) + ((0 - -2) + 11 + -28 - -6)? -120 What is the value of 44 + -44 - (0 - -10 - (-1 - -2)) - -89? 80 Evaluate -12 - -6 - (-10 - 22). 26 (14 - (34 + -35)) + (2 - -49) + 3 - -12 81 -3 - -25 - (17 + -7 + -13 - (3 - 11)) 17 (63 - 49) + -10 + (3 - -21 - -3) 31 Evaluate 11 + -2 + (25 - (-25 + 40 - -4)). 15 Evaluate 9 + (-3 + -9 + -2 + (178 - 233) - 4). -64 Evaluate 29 + (-12 - 0 - (-18 + 15 - 4)). 24 What is the value of (-27 - (-5 - -2) - (-361 + 352)) + 77? 62 Calculate -15 - (16 + (29 - 27)). -33 What is -16 - -67 - -50 - 59? 42 Calculate 26 - (25 + (-31 - -7) - -17). 8 Evaluate -33 + (0 - -38) - 31. -26 What is the value of (-54 - (-33 + 9)) + 35? 5 21 - (6 + 16 - 9) - 8 - (-47 - -1) 46 Evaluate ((43 - 14) + -6 - (0 + 2 + -4)) + 9. 34 Evaluate -73 + 6 + (-8 - -32 - 5). -48 Evaluate 57 + (-13 - (-53 - -7)). 90 What is the value of 5 + -40 + 8 + 37? 10 0 + -7 + -18 + -1 + 24 - -17 15 Evaluate 44 + (86 - 37) + -77. 16 What is the value of 89 + (-68 - (-12 + 53))? -20 1 + -8 + (-40 + 85 - 7 - 4) 27 Evaluate (-8 - (13 + -8) - -30) + 42. 59 Calculate -2 + (19 + -46 - (5 - (7 - -10))). -17 Calculate (-3 - -55) + (5 - 34 - -13 - -2). 38 What is the value of 28 + (1 - 7 - 7 - (-18 + 1))? 32 What is the value of 10 + -2 + 14 + -25 - -10? 7 (-4 - 3) + (-45 - -78 - 42 - (1 - 69)) 52 (-48 - (-112 + 52)) + -2 + 7 17 -32 + (19 - 17) + -14 + -61 -105 Calculate (1 - -90 - -1) + -21 + 31 + 36 + -55. 83 -3 + -7 + -7 - -3 - -28 14 Calculate 23 - ((-42 - (-6 + 6 - -13)) + -6). 84 Evaluate ((-32 + 22 - -3) + -12 - 3) + -22. -44 87 + (7 - (-36 - -30) - 40) 60 Calculate (-21 - -45) + -18 - (-2 - -37). -29 Evaluate 25 + -16 + -21 + 1 + 0 + 80. 69 Evaluate (23 - 100 - -41) + -45. -81 Calculate (5 - 1) + (1 - -5 - (3 + 6 + -5)). 6 Evaluate (2 - 32 - (110 - 116)) + -23 + 7. -40 -12 + 84 + -8 + 0 64 -2 + 5 + -10 + 20 + (11 - 56) -32 -9 + (3 + 58 - (2 - (17 - (14 - 7)))) 60 (27 - 37) + 6 + (-4 + 15 - 16) -9 -7 - -37 - (47 + (17 - 49)) 15 -48 - (-55 + 18 + 31) -42 What is 11 + (-19 - 4) + (1 - 8) + 76? 57 (-2 - (4 - 3 - -3)) + (16 + 23 - 87) -54 Calculate -1 + 1 + -60 - (315 + -325 - 11). -39 Evaluate 16 + (-2
{ "pile_set_name": "DM Mathematics" }
21489, 86040, 193661, 344352, 538113, 774944, 1054845? 21535*o**2 - 54*o + 8 What is the z'th term of -527028, -527014, -526980, -526920, -526828, -526698? z**3 + 4*z**2 - 5*z - 527028 What is the o'th term of -22936, -45847, -68756, -91663? o**2 - 22914*o - 23 What is the x'th term of -374355, -748608, -1122861, -1497114? -374253*x - 102 What is the b'th term of 696138, 1392401, 2088668, 2784939, 3481214? 2*b**2 + 696257*b - 121 What is the j'th term of -7265, -6907, -6521, -6101, -5641? j**3 + 8*j**2 + 327*j - 7601 What is the d'th term of -208862, -208760, -208658, -208556? 102*d - 208964 What is the l'th term of -397382, -794771, -1192152, -1589525, -1986890, -2384247, -2781596? 4*l**2 - 397401*l + 15 What is the q'th term of -55, 168, 1317, 4034, 8961, 16740, 28013? 107*q**3 - 179*q**2 + 11*q + 6 What is the h'th term of -348451, -346474, -344497? 1977*h - 350428 What is the l'th term of 239353405, 239353402, 239353399, 239353396, 239353393? -3*l + 239353408 What is the n'th term of 1346, 11643, 28796, 52799, 83646, 121331? -n**3 + 3434*n**2 + 2*n - 2089 What is the u'th term of -5525, -6833, -8141, -9449, -10757? -1308*u - 4217 What is the r'th term of 2411, 10302, 23411, 41738? 2609*r**2 + 64*r - 262 What is the z'th term of 11067, 31410, 61025, 99918, 148095, 205562? z**3 + 4630*z**2 + 6446*z - 10 What is the d'th term of -23640, -46344, -69062, -91800, -114564, -137360? -d**3 - d**2 - 22694*d - 944 What is the z'th term of -807922, -3231664, -7271236, -12926644, -20197894, -29084992? -z**3 - 807909*z**2 - 8*z - 4 What is the x'th term of 22205723, 22205689, 22205655, 22205621, 22205587? -34*x + 22205757 What is the g'th term of 2361, 9315, 20933, 37215, 58161, 83771? 2332*g**2 - 42*g + 71 What is the r'th term of 85500, 85715, 86302, 87447, 89336, 92155, 96090, 101327? 31*r**3 - 2*r + 85471 What is the h'th term of -4314192, -4314188, -4314184, -4314180, -4314176? 4*h - 4314196 What is the d'th term of -25276, -22637, -19998, -17359, -14720, -12081? 2639*d - 27915 What is the u'th term of -1373295, -2746168, -4119039, -5491908, -6864775, -8237640? u**2 - 1372876*u - 420 What is the p'th term of 38940, 38788, 38636, 38484, 38332, 38180? -152*p + 39092 What is the s'th term of 262374, 524690, 787006, 1049322, 1311638? 262316*s + 58 What is the a'th term of -603, 425, 3039, 8031, 16193, 28317, 45195, 67619? 132*a**3 + a**2 + 101*a - 837 What is the u'th term of 331, 1703, 3695, 6307, 9539, 13391? 310*u**2 + 442*u - 421 What is the l'th term of 8900, 13818, 18710, 23564, 28368, 33110, 37778, 42360? -2*l**3 - l**2 + 4935*l + 3968 What is the o'th term of 327143, 1308849, 2945027, 5235677, 8180799? 327236*o**2 - 2*o - 91 What is the u'th term of -555244, -555236, -555228, -555220, -555212, -555204? 8*u - 555252 What is the d'th term of -670768, -670793, -670818, -670843, -670868? -25*d - 670743 What is the h'th term of 121005, 242266, 363787, 485574, 607633? h**3 + 124*h**2 + 120882*h - 2 What is the c'th term of -25182036, -50364071, -75546106, -100728141, -125910176, -151092211? -25182035*c - 1 What is the w'th term of -4673, -4805, -5031, -5351, -5765, -6273, -6875? -47*w**2 + 9*w - 4635 What is the v'th term of -56667, -56418, -56171, -55926? -v**2 + 252*v - 56918 What is the l'th term of 247720, 495313, 742906, 990499, 1238092? 247593*l + 127 What is the o'th term of -196648, -391983, -587320, -782659? -o**2 - 195332*o - 1315 What is the a'th term of -1076, 174, 1424, 2674? 1250*a - 2326 What is the l'th term of -393643, -787257, -1180841, -1574395, -1967919, -2361413? 15*l**2 - 393659*l + 1 What is the a'th term of -155381, -155407, -155419, -155411, -155377, -155311, -155207? a**3 + a**2 - 36*a - 155347 What is the f'th term of -21340, -23170, -25002, -26836, -28672? -f**2 - 1827*f - 19512 What is the t'th term of 3906, 6915, 9984, 13113? 30*t**2 + 2919*t + 957 What is the v'th term of 1139, 3071, 5787, 9287, 13571? 392*v**2 + 756*v - 9 What is the v'th term of -11161, -11417, -11673, -11929, -12185, -12441? -256*v - 10905 What is the r'th term of 1333, 1822, 2639, 3784, 5257, 7058? 164*r**2 - 3*r + 1172 What is the k'th term of -12717, -18682, -24657, -30648, -36661, -42702, -48777? -k**3 + k**2 - 5961*k - 6756 What is the z'th term of -271, -277, -165, 161, 797? 16*z**3 - 37*z**2 - 7*z - 243 What is the j'th term of 1163, -782, -6073, -16384, -33389? -279*j**3 + j**2 + 5*j + 1436 What is the x'th term of 610, 1273, 1978, 2707, 3442, 4165, 4858, 5503? -3*x**3 + 39*x**2 + 567*x + 7 What is the o'th term of -2858, -5506, -8206, -10958, -13762? -26*o**2 - 2570*o - 262 What is the q'th term of -3416368, -3416362, -3416352, -3416338, -3416320? 2*q**2 - 3416370 What is the k'th term of -872248762, -872248761, -872248760, -872248759, -872248758? k - 872248763 What is the w'th term of 682741, 682742, 682743? w + 682740 What is the y'th term of -79199, -78852, -78265, -77432, -76347? y**3 + 114*y**2 - 2*y - 79312 What is the u'th term of -964, -3731, -6494, -9247, -11984, -14699, -17386, -20039? u**3 - 4*u**2 - 2762*u + 1801 What is the z'th term of -239065, -239030, -238965, -238870? 15*z**2 - 10*z - 239070 What is the w'th term of -5629906, -5629901, -5629892, -5629879, -5629862, -5629841, -5629816? 2*w**2 - w - 5629907 What is the l'th term of -6368, -25978, -58662, -104420, -163252? -6537*l**2 + l + 168 What is the l'th term of 84, -752, -2064, -3786, -5852? 11*l**3 - 304*l**2 - l + 378 What is the j'th term of -65152082, -65152071, -65152060, -65152049, -65152038, -65152027? 11*j - 65152093 What is the l'th term of 792091, 792006, 791867, 791674, 791427, 791126? -27*l**2 - 4*l + 792122 What is the v'th term of -417, -363, -341, -405, -609? -9*v**3 + 38*v**2 + 3*v - 449 What is the g'th term of 2866997, 5734009, 8601009, 11467997, 14334973? -6*g**2 + 2867030*g - 27 What is the a'th term of 68398, 547968, 1849666, 4384558, 8563710, 14798188? 68511*a**3 - 2*a**2 - a - 110 What is the q'th term of -315430, -1261712, -2838864, -5046898, -7885826, -11355660, -15456412, -20188094? -2*q**3 - 315423*q**2 + q - 6 What is the k'th term of -65115, -131339, -197573, -263823, -330095, -396395, -462729? -k**3 + k**2 - 66220*k + 1105 What is the p'th term of 7350, 58796, 198450, 470418, 918806, 1587720, 2521266, 3763550? 7351*p**3 - 2*p**2 - 5*p + 6 What is the h'th term of 12132101, 12132100, 12132099, 12132098, 12132097? -h + 12132102 What is the b'th term of 971, 4078, 9243, 16460, 25723? -b**3 + 1035*b**2 + 9*b - 72 What is the x'th term of -3604352, -3604355, -3604360, -3604367, -3604376, -3604387? -x**2 - 3604351 What is the d'th term of 791, 6438, 21757, 51584, 100755, 174106, 276473, 412692? 806*d**3 + 5*d - 20 What is the d'th term of 42598, 42289, 41766, 41023, 40054, 38853, 37414, 35731? -d**3 - 101*d**2 + d + 42699 What is the p'th term of -4971998, -9943983, -14915968, -19887953, -24859938, -29831923? -4971985*p - 13 What is the g'th term of 230798, 230876, 231052, 231374, 231890, 232648, 233696? 8*g**3 + g**2 + 19*g + 230770 What is the x'th term of -251, -361, -301, 13, 665, 1739? 14*x**3 + x**2 - 211*x - 55 What is the j'th term of 61150, 122338, 183538, 244756, 305998, 367270? j**3 + 61181*j - 32 What is the a'th term of -9523, -26653, -55203, -95173? -5710*a**2 - 3813 What is the y'th term of 15074, 15615, 17078, 19925, 24618? 77*y**3 - y**2 + 5*y + 14993 What is the j'th term of 656797, 656771, 656745, 656719, 656693? -26*j + 656823 What is the l'th term of 233698, 233695, 233692, 233689, 233686? -3*l + 233701 What is the v'th term of -63507, -137221, -210935, -284649, -358363? -73714*v + 10207 What is the f'th term of 1607, 15514, 53325, 126992, 248467, 429702, 682649? 1992*f**3 - 37*f - 348 What is the b'th term of -891, -7353, -24969, -59319, -115983, -200541, -318573? -930*b**3 + 3*b**2 + 39*b - 3 What is the v'th term of 54560463, 54560462, 54560459, 54560454, 54560447, 54560438? -v**2 + 2*v + 54560462 What is the r'th term of -4096, -9248, -17832, -29848, -45296, -64176? -1716*r**2 - 4*r - 2376 What is the q'th term of -59237, -118604, -178237, -238268, -298829? -22*q**3 - q**2 - 59210*q - 4 What is the r'th term of -71477, -71515, -71543, -71561, -71569, -71567? 5*r**2 - 53*r - 71429 What is the h'th term of 17580, 35042,
{ "pile_set_name": "DM Mathematics" }
7*w + 1 = -s*w, -4*u - 2*w = 14 for u. -4 Let x = 3 - 1. Solve h - 5 = 3*s, -x*s = 2*h + 3 - 13 for h. 5 Suppose 3 - 9 = -2*s. Solve -5*j = 3*q - 9, 15 = -3*q - 0*q + s*j for q. -2 Suppose -5*h + 2*o - o + 210 = 0, -5*h + 225 = 2*o. Let g = h + -23. Solve -k + 20 = -4*j, -j - 3*j = k + g for j. -5 Let y(w) = -2 + 0 + 9 - 4*w - w**2. Let b be y(-5). Suppose 4 = b*v - 0*v. Solve 5*r - v = j - 0, -3*r + 3*j = 6 for r. 1 Let t(b) = -1 - 2 - 4 - 2 + 2*b. Let c be t(6). Solve 4*x + 15 = -3*o - 0*x, -5 = o + c*x for o. -5 Let c be (-21)/28 - 22/(-8). Suppose 2*k = c*s - 5*s + 12, -2*s + 18 = 3*k. Solve 0 = -5*u + 5, 4*z + u - k = 3*z for z. 5 Let t(l) = 9*l - 7*l - 4 + 0*l. Let k be t(4). Solve 0 = -k*b + 5*p + 14, b + p + 1 = -0*b for b. 1 Let j(a) be the first derivative of a**2/2 - 7*a - 1. Let c be j(6). Let s be ((20/c)/2)/(-2). Solve -6*u + 16 = -2*u - s*p, 2*p = -2*u - 10 for u. -1 Let q = 19 + 12. Suppose -v - 6 + q = 0. Suppose -7*t = -2*t - v. Solve -t*o - 14 = -4*d, -d + 3*d = -3*o - 4 for o. -2 Let u(z) = -z**2 + 8*z - 4. Let s be u(7). Suppose s*y = 9 - 3. Solve 5*j = -5*i, -10 = 5*j + 2*i + y for j. -4 Suppose -4*r - 3 = -2*k + 17, -k - 2*r - 6 = 0. Suppose -2*c + 0*t + 6 = k*t, 2*t = -5*c + 21. Solve 4*m + 5*z - 13 = -2, 3*z + 23 = c*m for m. 4 Let z be 12/(-10)*(-2 - 3). Suppose 2 = 2*v + z. Let g be 1/(-1 + (-3)/v). Solve -4*i + 28 = -3*l, -3*i + g*i = -2*l - 12 for i. 4 Let m be -2 - (-1 - -5 - 6). Solve 0 = -4*n + 2*i + 3*i - 7, m = 3*n + 2*i - 12 for n. 2 Let p = -6 + 14. Let q = p + -2. Solve l = h, -l + q = -4*h + l for h. -3 Let o = 9 + -6. Suppose -b + 24 = o*b. Suppose -f = -b*f. Solve 4*j + 22 = x - 0, f = -5*j - 3*x - 19 for j. -5 Let m(r) = -6*r. Suppose -6 = v - 2*k - 0*k, v + 2 = -2*k. Let o be 148/(-28) - v/14. Let s be m(o). Solve 0*p + 10 = 4*a + 5*p, -4*a = -5*p - s for a. 5 Let i be -1*(-4 + 1 + 1). Solve -5*t + 8 = -4*d, t = -4*d - 6 - i for t. 0 Let t(m) = 2 + 2*m - 6*m + m + 2*m. Suppose 3*j + 19 = -5*g, 0*j - 2*g - 14 = -2*j. Let q be t(j). Solve 0 = 4*b + 5*z - 21, -4*b + 2*z - 4*z + 18 = q for b. 4 Let s(i) = i**3 - 4*i**2 + 9. Let j(f) = f**2 - 1. Let w(m) = 4*j(m) + s(m). Let c be w(0). Solve -5*n = -4*o + 15, 3*n = -0*o - c*o + 28 for n. 1 Let r(w) = 8*w - 2. Let f be r(2). Suppose -5*s + o = -27, f = -4*o + 6. Suppose -n + 3*n = 0. Solve n = -l, 15 + s = 4*g - l for g. 5 Let k(p) = p**2 - 11*p - 10. Let w be k(12). Solve -2*u = 3*u - w*d - 35, 2*u + 3*d + 5 = 0 for u. 5 Let y(v) = v**2 + v - 8. Let t(s) = -2*s**2 - 2*s + 15. Let b(k) = -6*t(k) - 11*y(k). Let c be b(3). Solve -3*r + c = -5*m, r = -5*m + 3*r - 5 for m. 1 Suppose -3*t - 21 = -2*v, t = -v + 2 + 16. Let a = v - 4. Solve -y - 3*n = -a - 2, y - 4*n + 8 = 0 for y. 4 Let z be -4*(-1)/2*3. Solve 2 = 2*c - 2*k, -z = -c - 3*c + 3*k for c. 3 Let s(h) = -h**2 - 3*h + 10. Let c be s(-8). Let p be ((-18)/(-15))/((-9)/c). Solve -5*a + 2*a + p = -5*m, 2*m + 12 = -4*a for m. -2 Let w(c) = -c**2 - 5*c - 2. Let x = 0 - 3. Let l be w(x). Solve -27 = -5*n - l*i + 2*i, -2*n + 4*i + 6 = 0 for n. 5 Suppose 3*n - 2 = 2*n. Let r be n + -1 + 0 - -1. Solve -r*t - w + 7 = 0, t - 3*w = 2*w + 9 for t. 4 Let k = 8 - 4. Let a be (-2 + 1)*(-2 - 5). Solve -k*b - 4*j - 8 = 0, -2*b - 4*j = b + a for b. -1 Suppose -2*p + 7 = 3*n, -p + 3 = -2*n + 4*n. Let z(r) = -r + 8. Let d be z(3). Solve 29 = -d*x + f + f, -4*x - p*f = 10 for x. -5 Let n be (18/15)/(2/5). Let l be ((-3)/2)/(1/(-2)). Solve w - 5*p + l = 0, 0 = -n*w - p - p + 8 for w. 2 Let c(u) = u - 1. Let n be c(-4). Let g = 7 - n. Solve 3*o + g = -2*m, 4*o = o + 5*m + 9 for o. -2 Let l(o) = 2*o - 1 - 3 - o. Let w = 26 + -20. Let r be l(w). Solve 4*y = 2*v - 10, r*v + 0*v - 15 = 5*y for v. -5 Let t(u) = u - 8. Suppose 0*b - 3*b = -f - 39, 4*f + 26 = 2*b. Let c be t(b). Solve -3*p + q + 16 = c*q, 0 = -2*p + 3*q + 5 for p. 4 Let q be (-2)/(-2) + (-2 - -2). Let c(z) = 2*z + q + z - 2*z. Let a be c(0). Solve -5*b - 10 = 0, 5*o = 6*o - 3*b - a for o. -5 Let x(n) = n**3 - n**2 - n + 1. Let y be (-3)/5 + (-69)/(-15). Suppose -2*c + y = 2*c. Let o be x(c). Solve 3*p - 4*i + 6 = 19, 5*i + 5 = o for p. 3 Let h(s) = -s + 8. Let o(f) = f**2 + 3*f - 4. Let b be o(-5). Let l be h(b). Let y = 6 - l. Solve y*q - 4*r = -8, q - 2*r + 5 = 1 for q. 0 Let k = -19 + 22. Solve -5*j = -k*u - 29, 4*j - 10 = -3*u - 3 for j. 4 Suppose -5*k + 4*k = 0. Suppose -3*u - 2*n = -6, k*n = -4*u - n + 3. Solve 2*c - 6 = -5*z + 11, c - 5*z + 29 = u for c. -4 Let p(u) = -u**3 - 8*u**2 - 9*u - 5. Let b be p(-7). Let d be b/(-6)*2/(-1). Solve 0 = d*n - t + 2*t + 20, t = 5*n + 20 for n. -5 Suppose -5 = 5*b + 25. Let p be (2/b)/(1/(-12)). Suppose -12 + p = -4*c. Solve 7*j = -y + 2*j - 9, 2*y = c*j - 6 for y. -4 Suppose h = -4*c - 1, -h = -3*c + h + 2. Solve 2*o + 4*p - 2 + 0 = c, 0 = 4*o - p - 13 for o. 3 Let h be (2/(-4))/(2/(-16)) + -2. Solve -2*u + 0 = h, -5*b = 4*u - 16 for b. 4 Suppose g = -2*f + 4*f - 2, -5 = -5*f. Solve g = -4*a + v - 1, 0 = 2*a + 2*a + v - 1 for a. 0 Let z = -6 + 10. Suppose -z*m + 70 = m. Solve -o - j = 5, 0 = 6*o - 4*o + 4*j + m for o. -3 Let j be (20/6)/((-10)/(-60)). Suppose 5 = 3*g - 2*m - 0, 4*m = j. Solve -4*y = -5*c + 36, -4*c = -g*c - 2*y - 4 for c. 4 Let d = -10 - 0. Let s = d + 16. Solve i + s = -2*g, -3*g = 3*i + 5 - 2 for i. 4 Suppose -2*g + n = 3 - 5, 0 = 5*g - 5*n. Solve -g*z + 8 = -d - 0*z, 4*d + 22 = 3*z for d. -4 Suppose 0*b = -3*b + 33. Let p = -7 + b. Solve 4*k - 4 = -5*q - 2, 0 = -p*q + 2*k - 14 for q. -2 Suppose -5*y + 29 + 1 = 0. Solve 2*c = -y, 3*m + 4 = m - 2*c for m. 1 Let z(h) = h + 9. Let g be z(-8). Suppose -5 - g = -2*y. Solve 5 = 3*c - 4, -y*f + c = -12 for f. 5 Let l be 5 - (-12)/(-10)*75/30. Solve -5*z - 15 = 3*c, l*z - 4*c = -2 - 4 for z. -3 Let y = -6 - -8. Suppose y*k - 13 = -5. Solve 4*h - 12 = -2*t - 0*h, 0 = 4*t + k*h - 8 for t. -2 Suppose 4*o - 5 = 3*o. Suppose o*d = -6 + 21. Suppose d*w - 6 = -3*n, -4*n + 3*w + 8 = w. Solve 2*z + 2*m = -0*m - 10, -n*z = -4*m - 2 for z. -3 Suppose 0 = 5*x + 4*d - 27, 0*x - d = x - 6. Solve -10 = 5*g, -x*r - 5*g - 34 = -9 for r. -5 Suppose 2*f + 1 = 3*f + o, 0 = -3*f - 5*o + 7. Let g be (0 - f)*-4*-1. Solve 0 = 2*i + 2*n + 18, 3*i - 4*n - 4 = g for i. -4 Suppose -2*j + 146 = -5*m + 1010, -2*m = -4*j - 336. Let b = m - 68. Suppose 4*f + 10 = b. Solve -2*u = 2*s + 2*s - f, 5*s - 20 = 0 for u. 4 Suppose -5*h = l - 5 - 9, -4*l + 12 = -2*h. Solve 2*f = 2*s + 18, f + s - l*s = 17 for f. 5 Let x(a) = a**2 + 4*a + 3. Let z be x(-3). Let c(p) = -3*p**3 - 3*p**2 - 3*p. Let y be c(-2). Let v = y + z. Solve -5*k - q = v, -k - 2*k = 3*q + 18 for k. -3 Suppose 0 = 5*o - 7 - 8. Solve -o*w + 4*w - v = -9, -2*w - 13 = -v for w. -4 Let g = -4 - -24. Let b be 0 + (g/4 - 3). Solve 2 = 2*p - 0*a + b*a, -12 = -5*p + 2*a for p. 2 Let k(m) = m**3 + 7*m**2 + 4*m - 7. Let u be k(-5). Solve -3*j - 5*t = -3*t + u, t = -4 for j. -5 Let r be 3/(13/(-6) + 2). Let i be 2/(-3*3/r). Solve -2 = -a - 0, -i = -2*d + 3*a for d. 5 Let q be (-5 + -3 + 3)*4/(-5). Solve 0 = -3*z + 5*t - 40, -2 - 43 = q*z - 5*t for z. -5 Let w be 0 + 4*6 - (-9 + 9). Solve -5*m + w = 5*l + 4, -5*m + 20 = -5*l for l. 0 Suppose -h - 5*v = 40 + 5, -v - 5 = 0. Let d = h - -33. Let m = 4 + -2. Solve -d = c - 4*t, -16 = -m*t - 2*t for c. 3 Suppose 0 = -2*f + 5 + 1. Let o be 8 + f/1 + -1. Let p be 25/o*(-8)/(-10). Solve -j + 2 + 4 = p*v, -2*j = 2*v - 8 for j. 2 Let y(m) = -2*m**2 - m + 1. Let a be y(2). Let b = a - -13. Let i(x) = x**3 + 8*x**2 - x. Let k be i(0). Solve -4*t = 3*z, -t + 19 = -k*t - b*z for t. 3 Let w(j) = j**3 - 11*j**2 - j + 16. Let p be w(11). Solve -o - 4*n = -8, -o - 4*o + p*n - 10 = 0 for o. 0 Let h be (-1)/4 - 13/(-4). Suppose -4*j = 4*t - 9*t - 8, 5*j - 5*t - 10 = 0. Solve -5*g + 0*i + h*i - j = 0, -i - 6 = 5*g for g. -1 Let b(d) = d**3 + 4*d**2 + d + 6. Let y be b(-4). Solve -2*t + 5*a = -4 - 6, 3*a = y*t - 10 for t. 5 Let m be (-4)/(-12)*(1 + 14). Solve -4*u = 2*w - 10, -m*w - u = -10 - 6 for w. 3 Let m(i) = i**2 - 9*i - 20. Let c be m(11). Solve -2*q = -3*q + 3*s, 2*s = -c for q. -3 Let g(f) = -f**2 + f + 2. Let h be g(0). Solve -u = -4*x - 7, -6 = u + h*x - 1 for u. -1 Let w = -9 + 10. Suppose 2*x = -3*q - 2*q - 6, 0 = -3*x + 3*q - 30. Let n = -6 - x. Solve 0 = -n*p + d + 7, -2*p - w = 4*d + 7 for p. 2 Sup
{ "pile_set_name": "DM Mathematics" }
nd 764919? 9 What is the greatest common factor of 123039 and 588? 147 What is the highest common factor of 51 and 7836? 3 Calculate the greatest common divisor of 782 and 4726. 34 What is the greatest common factor of 528357 and 5088? 159 What is the greatest common factor of 276052 and 1218? 14 Calculate the highest common factor of 111321 and 38. 19 What is the greatest common factor of 1944 and 57064? 8 Calculate the greatest common divisor of 125136 and 8848. 1264 What is the greatest common factor of 1430 and 770? 110 Calculate the greatest common divisor of 518 and 728. 14 Calculate the greatest common divisor of 2496 and 34788. 156 What is the highest common factor of 16962 and 1914? 66 Calculate the highest common divisor of 2380 and 3122084. 476 What is the greatest common divisor of 13011 and 78? 3 What is the highest common divisor of 305 and 250405? 305 What is the greatest common factor of 181 and 1327273? 181 Calculate the highest common divisor of 21952 and 30527. 343 Calculate the highest common divisor of 8330 and 119. 119 Calculate the highest common factor of 810 and 11502. 162 Calculate the highest common factor of 3216 and 2544. 48 What is the greatest common divisor of 111 and 143967? 111 Calculate the highest common divisor of 415 and 11786. 83 What is the highest common divisor of 2197 and 26? 13 Calculate the greatest common divisor of 912 and 5856. 48 Calculate the greatest common divisor of 2594364 and 8. 4 What is the highest common factor of 130 and 4342? 26 Calculate the greatest common factor of 8055 and 210. 15 Calculate the greatest common factor of 7016 and 2976. 8 Calculate the greatest common divisor of 48512 and 320. 64 What is the greatest common factor of 87742 and 9082? 38 What is the greatest common factor of 4 and 86302? 2 Calculate the greatest common divisor of 136410 and 440. 10 Calculate the greatest common divisor of 720 and 132780. 60 What is the highest common divisor of 325 and 615290? 65 What is the greatest common divisor of 36234 and 732? 366 Calculate the greatest common factor of 17546 and 124. 62 What is the greatest common divisor of 32320 and 56? 8 What is the greatest common divisor of 198 and 1173222? 18 What is the greatest common divisor of 227447 and 22? 11 What is the greatest common factor of 10738 and 350? 14 Calculate the highest common divisor of 715 and 125983. 143 Calculate the greatest common factor of 37 and 133163. 37 Calculate the highest common factor of 1568 and 880. 16 What is the greatest common divisor of 9 and 226656? 9 Calculate the greatest common divisor of 12425 and 1050. 175 Calculate the greatest common divisor of 3540 and 564. 12 Calculate the highest common divisor of 2040 and 152184. 408 What is the highest common divisor of 524515 and 2185? 115 What is the highest common factor of 418 and 544654? 418 What is the highest common factor of 624 and 56316? 156 What is the highest common divisor of 30519 and 72? 9 What is the greatest common factor of 1326 and 12036? 102 What is the greatest common factor of 11 and 2143889? 11 What is the greatest common divisor of 448 and 8640? 64 Calculate the greatest common factor of 78336 and 9333. 153 Calculate the highest common divisor of 783 and 2133. 27 Calculate the highest common divisor of 990 and 5786. 22 Calculate the highest common factor of 4136 and 95656. 88 What is the highest common factor of 411486 and 1? 1 Calculate the greatest common factor of 10 and 113255. 5 Calculate the greatest common factor of 150346 and 14. 14 Calculate the highest common divisor of 4928 and 3280. 16 What is the greatest common divisor of 1287 and 10439? 143 What is the highest common factor of 20473 and 1652? 59 What is the highest common factor of 12 and 883616? 4 Calculate the highest common divisor of 1116 and 87172. 124 Calculate the greatest common factor of 20196 and 440. 44 Calculate the highest common factor of 6 and 268530. 6 What is the highest common factor of 3627 and 30771? 117 What is the highest common divisor of 33 and 106293? 33 What is the highest common factor of 35 and 17855? 5 What is the greatest common factor of 18451 and 2? 1 What is the greatest common divisor of 637 and 23101? 13 What is the highest common divisor of 8 and 7343? 1 Calculate the highest common divisor of 666 and 7474. 74 Calculate the highest common factor of 1056 and 7356. 12 What is the highest common factor of 231 and 6567? 33 Calculate the highest common factor of 45970 and 10. 10 What is the greatest common factor of 71006 and 1274? 26 Calculate the highest common factor of 275910 and 240. 30 Calculate the greatest common divisor of 196 and 7588. 28 Calculate the highest common factor of 2184 and 894. 6 What is the highest common divisor of 29294 and 19982? 194 What is the greatest common factor of 21 and 1638987? 21 What is the highest common factor of 5288 and 3272? 8 Calculate the highest common divisor of 452 and 401941. 113 What is the greatest common factor of 848339 and 1405? 281 What is the greatest common divisor of 104745 and 120? 15 What is the highest common factor of 985 and 10305? 5 Calculate the greatest common factor of 296 and 29. 1 Calculate the highest common divisor of 5880 and 171960. 120 Calculate the greatest common factor of 450 and 26475. 75 What is the greatest common divisor of 43120 and 420? 140 What is the greatest common divisor of 1800 and 12825? 225 Calculate the greatest common divisor of 354 and 2034. 6 What is the highest common factor of 2093 and 143? 13 Calculate the highest common divisor of 272944 and 6. 2 What is the greatest common factor of 2121816 and 16? 8 What is the greatest common factor of 388819 and 8503? 773 What is the highest common divisor of 210 and 14115? 15 What is the highest common factor of 54813 and 3388? 121 What is the highest common divisor of 6208878 and 78? 78 What is the greatest common divisor of 15 and 422265? 15 What is the greatest common divisor of 20941 and 6407? 43 Calculate the highest common divisor of 1220432 and 256. 16 Calculate the highest common factor of 19812 and 28956. 1524 Calculate the highest common divisor of 380 and 1460. 20 Calculate the greatest common factor of 305748 and 298. 298 What is the greatest common factor of 114 and 1506111? 57 What is the greatest common factor of 888 and 3064? 8 Calculate the highest common factor of 3421 and 27057. 311 What is the highest common factor of 315630 and 455? 35 Calculate the highest common divisor of 112 and 30832. 16 Calculate the highest common divisor of 116 and 191168. 116 What is the highest common divisor of 1413 and 743709? 471 What is the highest common divisor of 20 and 472? 4 Calculate the highest common divisor of 4288 and 19832. 536 Calculate the highest common factor of 126 and 705194. 14 What is the highest common divisor of 8601 and 1281? 183 What is the highest common divisor of 3371236 and 34? 34 Calculate the highest common factor of 272 and 191216. 272 Calculate the highest common divisor of 316 and 5925. 79 Calculate the greatest common divisor of 35896 and 3584. 56 Calculate the greatest common factor of 1507 and 77. 11 Calculate the highest common factor of 19 and 1967640. 19 Calculate the greatest common factor of 154583 and 207. 23 Calculate the greatest common divisor of 330 and 29790. 30 What is the greatest common factor of 102705 and 3075? 615 Calculate the greatest common factor of 26302437 and 63. 63 What is the greatest common divisor of 1233748 and 4? 4 What is the highest common factor of 20 and 28585? 5 What is the greatest common divisor of 1760 and 322520? 440 What is the greatest common factor of 687 and 155949? 687 Calculate the greatest common factor of 207 and 3243. 69 What is the greatest common factor of 581 and 2513? 7 What is the greatest common factor of 33429 and 363? 33 Calculate the greatest common factor of 56760 and 387. 129 Calculate the greatest common factor of 140 and 1736. 28 Calculate the highest common divisor of 238 and 31484. 34 What is the highest common divisor of 289 and 12862523? 289 What is the highest common factor of 6116 and 59492? 556 What is the greatest common factor of 13794 and 1026? 114 What is the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
ecimal places? -0.0162 What is -49300 rounded to the nearest ten thousand? -50000 Round 7.0623 to the nearest integer. 7 What is -0.0000269244 rounded to 7 dps? -0.0000269 What is -0.04403 rounded to two dps? -0.04 What is 0.000029815 rounded to 6 dps? 0.00003 What is 9.0924 rounded to one decimal place? 9.1 Round -16640 to the nearest 1000. -17000 Round -472.9 to the nearest one hundred. -500 What is -32.71 rounded to the nearest ten? -30 Round 0.0010109 to 4 decimal places. 0.001 What is 0.10238 rounded to 3 decimal places? 0.102 Round 0.0014998 to five dps. 0.0015 What is 495560 rounded to the nearest ten thousand? 500000 What is -81306000 rounded to the nearest 100000? -81300000 Round -0.00000474 to six decimal places. -0.000005 Round 0.0004415 to 4 decimal places. 0.0004 Round -73.855 to the nearest integer. -74 Round -29759 to the nearest 1000. -30000 What is -2.8256 rounded to two decimal places? -2.83 Round 6.39 to one dp. 6.4 Round 0.00008553 to 6 decimal places. 0.000086 Round 16.367 to one dp. 16.4 What is -0.0000010572 rounded to seven dps? -0.0000011 What is 59.3 rounded to the nearest ten? 60 Round 93.55 to the nearest ten. 90 Round 0.000001394 to 6 decimal places. 0.000001 Round -19.374 to 1 dp. -19.4 Round -4161000 to the nearest one hundred thousand. -4200000 What is 0.00000059102 rounded to seven dps? 0.0000006 Round -55.03 to the nearest 10. -60 Round 0.00357 to three dps. 0.004 What is 1203.12 rounded to the nearest ten? 1200 What is -0.0002368 rounded to four dps? -0.0002 What is -0.00003943 rounded to 6 dps? -0.000039 Round -2205100 to the nearest 100000. -2200000 What is -0.000002468 rounded to 7 decimal places? -0.0000025 What is -441.5 rounded to the nearest 10? -440 Round 0.02151 to three dps. 0.022 What is 1007 rounded to the nearest ten? 1010 Round 9.57 to the nearest integer. 10 Round 15940000 to the nearest one million. 16000000 What is -0.000065093 rounded to seven decimal places? -0.0000651 What is 2756 rounded to the nearest one hundred? 2800 What is 233000 rounded to the nearest 100000? 200000 Round -0.040146 to 2 decimal places. -0.04 What is -0.0000062244 rounded to 6 decimal places? -0.000006 What is -0.00082371 rounded to five decimal places? -0.00082 What is -124710 rounded to the nearest one thousand? -125000 Round 32626 to the nearest 100. 32600 What is 0.0030573 rounded to four decimal places? 0.0031 What is -34703200 rounded to the nearest 100000? -34700000 Round 0.0888 to 3 dps. 0.089 Round 3165 to the nearest 100. 3200 What is -0.00534 rounded to two dps? -0.01 Round 181.091 to 0 dps. 181 What is -4.024 rounded to zero decimal places? -4 What is 1.21658 rounded to one decimal place? 1.2 Round 320.291 to the nearest 10. 320 What is -43.765 rounded to the nearest ten? -40 Round 59334000 to the nearest 100000. 59300000 Round 0.01429 to three dps. 0.014 What is 0.0048 rounded to two decimal places? 0 What is -0.000033923 rounded to 6 dps? -0.000034 Round 5532500 to the nearest 1000000. 6000000 What is -4133 rounded to the nearest 1000? -4000 Round 0.47841 to 1 dp. 0.5 What is -157410 rounded to the nearest 1000? -157000 Round -69100000 to the nearest 1000000. -69000000 Round 0.0000465576 to 7 decimal places. 0.0000466 What is -79.917 rounded to the nearest integer? -80 Round -0.000584 to five decimal places. -0.00058 Round 1577.8 to the nearest one hundred. 1600 Round -52.1 to the nearest 10. -50 What is -137635000 rounded to the nearest 1000000? -138000000 Round -1.2314 to 2 decimal places. -1.23 Round 1696 to the nearest 100. 1700 What is 0.004102 rounded to 4 dps? 0.0041 Round 1.2046 to one decimal place. 1.2 What is -3.18086 rounded to 1 decimal place? -3.2 What is 122350 rounded to the nearest one thousand? 122000 Round -926 to the nearest 10. -930 Round 651140 to the nearest one hundred thousand. 700000 Round -362.67 to the nearest integer. -363 Round -0.015547 to three decimal places. -0.016 Round -0.5538 to 2 dps. -0.55 Round -0.23926 to three decimal places. -0.239 Round 2.362 to 1 decimal place. 2.4 What is 1179 rounded to the nearest 100? 1200 Round -0.26951 to two decimal places. -0.27 Round 0.000097334 to five decimal places. 0.0001 What is 0.00000195276 rounded to 7 decimal places? 0.000002 What is 0.000000235 rounded to 7 dps? 0.0000002 What is 7048000 rounded to the nearest 100000? 7000000 Round -0.00073 to four decimal places. -0.0007 What is 0.4068 rounded to 2 dps? 0.41 What is -313.1 rounded to the nearest one thousand? 0 Round 0.00028138 to 5 decimal places. 0.00028 What is 3990 rounded to the nearest one hundred? 4000 Round -0.22302 to 1 dp. -0.2 What is -16770 rounded to the nearest one thousand? -17000 Round 0.00000198 to five dps. 0 What is 4600 rounded to the nearest one thousand? 5000 Round -0.15931 to one dp. -0.2 Round -96.12 to the nearest ten. -100 What is -14636800 rounded to the nearest one hundred thousand? -14600000 What is -0.0000747 rounded to six decimal places? -0.000075 Round 0.00002979 to five decimal places. 0.00003 What is -0.01637 rounded to three decimal places? -0.016 Round -6130 to the nearest one hundred. -6100 Round 0.002695 to 3 decimal places. 0.003 What is -0.0010445 rounded to five decimal places? -0.00104 What is 0.7704 rounded to the nearest integer? 1 What is 0.000003102 rounded to seven dps? 0.0000031 Round -0.0000108424 to seven dps. -0.0000108 What is -95410 rounded to the nearest ten thousand? -100000 Round -0.03776 to 2 dps. -0.04 Round -1009.1 to the nearest one hundred. -1000 Round 27.367 to the nearest integer. 27 Round 4.9593 to 2 decimal places. 4.96 What is 2261350 rounded to the nearest one hundred thousand? 2300000 Round 9302300 to the nearest 1000000. 9000000 What is 204000 rounded to the nearest 1000000? 0 What is 83.741 rounded to the nearest ten? 80 What is 0.0029164 rounded to 4 dps? 0.0029 What is -25293000 rounded to the nearest 1000000? -25000000 Round 0.000000612 to 7 decimal places. 0.0000006 What is -0.000063 rounded to 5 dps? -0.00006 Round -34.6 to the nearest one hundred. 0 Round -32550 to the nearest one thousand. -33000 What is -2.0249 rounded to 1 decimal place? -2 Round 432540000 to the nearest 1000000. 433000000 Round -5158700 to the nearest 100000. -5200000 What is -491000 rounded to the nearest one million? 0 What is 55470 rounded to the nearest 10000? 60000 Round -0.57926 to 1 dp. -0.6 What is 0.0168 rounded to 2 dps? 0.02 What is -5776.1 rounded to the nearest one thousand? -6000 What is 24.74 rounded to 1 decimal place? 24.7 Round 30.529 to the nearest integer. 31 What is -134.093 rounded to the nearest 10? -130 What is -8400000 rounded to the nearest 1000000? -8000000 Round 385.89 to the nearest 10. 390 Round -0.055868 to two decimal places. -0.06 What is 0.00000250977 rounded to seven decimal places? 0.0000025 What is 3.897 rounded to the nearest integer? 4 What is -0.00009258 rounded to 5 decimal places? -0.00009 What is -0.000016827 rounded to 7 decimal places? -0.0000168 Round -1017000 to the nearest one million. -1000000 What is -0.58712 rounded to 1 decimal place? -0.6 Round 149620 to the nearest 1000. 150000 Round -0.00003583 to six dps. -0.000036 Round 24800 to the nearest one thousand. 25000 What is -6430 rounded to the nearest one thousand? -6000 What is -0.03535 rounded to three decimal places? -0.035 What is 11.25 rounded to 0 decimal places? 11 What is -9.65 rounded to the nearest integer? -10 What is 249.6 rounded to the nearest ten? 250 What is 703.08 rounded to the nearest ten? 700 Round -0.0000015886 to seven dps. -0.0000016 Round 0.0154768 to 3 dps. 0.015 Round -17.199 to one decimal place. -17.2 Round 0.0672079 to 4 dps. 0.0672 What is -0.0000058692 rounded to seven decimal places? -0.0000059 What is 7782000 rounded to the nearest 100000? 7800000 Round 167520 to the nearest one thousand. 168000 Round 4684 to the nearest one hundred. 4700 What is 1.5602 rounded to 2 decimal places? 1.56 What is -0.000000421 rounded to 7 decimal places? -0.0000004 Round -17260 to the nearest one thousand. -17000 Round 0.011391 to 4 dps. 0.0114 What is -14655000 rounded to the nearest 1000000? -15000000 What is 6.23 rounded to the nearest integer? 6 What is 43.21 rounded to the nearest ten? 40 What is 12633
{ "pile_set_name": "DM Mathematics" }
- 60/7560*1116. Calculate w(k). 0 Suppose 56*t = 7*t - 196. Let y(g) = 1 - 8 - 5*g + 12. Determine y(t). 25 Let t(k) = -k**2 - 5*k. Suppose -2*w + 7*w + 292 = -4*m, 3*m + 222 = -3*w. Let b = m + 73. Give t(b). 0 Let f(c) = 2*c. Let x(z) = 11*z + 3. Let h(v) = 2*v + 1. Let m(s) = -6*h(s) + x(s). Let j(a) = 5*f(a) - m(a). Give j(-2). -19 Let t = -26886 + 26884. Let n(v) = 3*v**3 + 2*v**2 - v - 1. Let y(x) = 7*x**3 + 4*x**2 - 3*x - 2. Let j(b) = 5*n(b) - 2*y(b). Give j(t). -3 Let p(h) = h + 2. Let t = 27 - 19. Let y be (-4)/t*(-5 + 39). Let n = y + 15. Determine p(n). 0 Let y(k) be the first derivative of -6*k**2 + 2*k - 7179. Give y(-6). 74 Let p(y) = 8*y + 22. Let u = -2383 - -2382. Determine p(u). 14 Let r(d) be the first derivative of 105*d**2 - 146 - 198*d**2 + 99*d**2 - d. Determine r(-1). -13 Let r(d) be the first derivative of d**3/3 - 8*d**2 + 9*d - 6844. What is r(15)? -6 Let g(a) = 3*a + 109. Let s(u) = 120*u + 2361. Let z be s(-20). Calculate g(z). -8 Let m(a) = a**2 - 65*a - 508. Let v be m(72). Let i(y) = 2*y**3 + 8*y**2 + 3*y + 15. What is i(v)? 3 Let n(o) = -48*o**3 + 17*o**2 - 38*o - 17. Let l(f) = -17*f**3 + 6*f**2 - 13*f - 6. Let d(x) = 17*l(x) - 6*n(x). Determine d(3). -6 Let k(j) = 9*j**3 - 18*j**2 + j - 10. Let n(y) = -11*y**3 + 21*y**2 - 2*y + 11. Let v(t) = -5*k(t) - 4*n(t). Let z = -20 - -36. Let b = z + -9. Determine v(b). -22 Let a = 78 + -76. Let u(z) = 3*z**2 + 507*z - 507*z - 1 + z**2. Determine u(a). 15 Suppose -5*i - 20 = 0, 252 - 976 = 3*z - 2*i. Let d = z + 243. Let n(b) = 6*b**3 - b**2 + b + 1. Determine n(d). -7 Suppose 37*w - 190 - 143 = 0. Let r(k) = -3 - w*k**3 - 2*k + 5 + 10*k**3 + 6*k**2 + k**2 - 7*k. Determine r(-8). 10 Let x(b) = -3*b**3 - 3*b**2 + 2*b - 4. Suppose -t + 13 = 4*p + 49, -p - 20 = 3*t. Give x(t). 132 Let n(f) be the first derivative of f**4/4 - 5*f**3/3 + f**2/2 + 6*f - 3891. Suppose 3*x + x - 7 = u, -32 = -4*u - 4*x. Give n(u). 11 Let l(u) = -5*u - 156. Let g be l(-31). Let w(v) be the first derivative of -2*v**3/3 + v**2 + v + 2. What is w(g)? -3 Let w(u) = 2*u**3 - 2*u**2 + u + 2. Let g be (-7)/42 + 1*327/18. Suppose 4*x = 2 + g. Suppose -4*c + x*z + 25 = -8, -z = -c + 7. Give w(c). 12 Let w(l) = 50*l + 72. Let q(i) = 16*i + 24. Let p(k) = 14*q(k) - 4*w(k). Determine p(-2). 0 Let i(o) = o**3 - 47*o**2 - 47*o - 64. Suppose 191 = 19*v - 721. Let u be i(v). Let p(c) = -c**3 - 17*c**2 - 17*c - 20. What is p(u)? -4 Suppose 10*s + 3*s = -52. Let h(w) = 65 - w**3 - 206 - 2*w**2 + 73 + 72 - 2*w**2. Give h(s). 4 Suppose -2*y + 9 = y. Suppose 4*f - 11 = y*t - 0, -4*t = -f - 7. Let w(u) = -u**t - 5 - 4*u - 8*u**2 + 12 + 3*u + 2*u. What is w(-8)? -1 Let u(k) = k**2 + 7*k - 1. Suppose 4*o + 6 = 22. Suppose 4*z + 4*w - 36 = 0, 18 = 2*z + 3*w - o. Let s be 8/20*z + -8 + -1. Give u(s). -1 Let p(s) = 8*s - 5. Let b(r) = 6*r - 10. Let w(i) = -i - 2. Let v(o) = b(o) - 3*w(o). Let u(x) = -7*p(x) + 6*v(x). Let d = -25 - -35. What is u(d)? -9 Let b be 3/(-4)*(-4)/(-1). Suppose -3*u - 19 = -5*c, 3*c - 5 = 5*u - 0. Let x(g) = 2 + g - 1 - u - 2 + 5. Determine x(b). -1 Let b(l) = -l**2 + 54*l - 365. Let k be b(8). Suppose 12*w - k = 2*r + 13*w, -12 = 3*r + 3*w. Let s(y) = -7*y**3 - y + 1. Calculate s(r). -7 Let v(w) = -2*w + 8. Suppose 2*n - 89 - 1225 = 0. Let b = n - 649. Determine v(b). -8 Let d = 513 - 736. Let w = d - -217. Let r(u) = -2*u - 3. Give r(w). 9 Let w(p) = -19 - 6*p + 10*p - p - 15*p - p. Give w(-5). 46 Let l(b) = b**3 + 3*b**2 + b - 1. Suppose 63*d - 60*d = 288. Let p = 98 - d. Suppose 6 = p*r, -5*r + 8*r - 5 = -2*z. Give l(z). 1 Suppose 15*g = -19*g + 408. Suppose 3*b - 2*y - g = 0, 4 = b + 5*y - 8*y. Let r(o) = 4*o + 3. Give r(b). 19 Let s(m) = 3*m + m**2 - 8*m - 63 + 131 - 70. Let p = -27 + 26. Let t be (-164)/(-28) + p/(-7). What is s(t)? 4 Let u(v) = -2*v. Let a be u(-1). Suppose -2*r + a*t = -2, -5*r + t + 0*t - 11 = 0. Let j be 2 - ((r - -4) + -2). Let l(d) = 5*d + 1. Calculate l(j). 16 Let n be (-4)/14 - 5/7. Let m be (4 + (-40)/12)*21. Let z(j) = -m*j - 79 + 24 + 55. What is z(n)? 14 Let b(s) be the second derivative of s**4/4 + 5*s**3 + 5*s**2 + 831*s. Give b(-9). -17 Let m(o) = 2*o**2 - 12*o + 9. Let z(x) = -x**2 + 8*x - 5. Let n(j) = -4*m(j) - 10*z(j). Give n(16). 14 Suppose -14*a + 10*a = 5*z - 30, 5*z - 15 = -a. Suppose -z*p = -8, 3*p = -3*r - 11 - 10. Let o(c) = -c - 8. Calculate o(r). 3 Let p(w) = 22*w**3 - 3*w**2 + 5*w + 4. Let q(j) = -2*j**3 - j**2 + 2*j + 1. Let a(m) = -p(m) + 3*q(m). Suppose 0 = -8*x + 4*x + 4. What is a(x)? -28 Let l(k) = -k**3 - 8*k**2 - 5*k - 4. Let g be 10/(-2*(-2)/(-308)). Let q = g + 764. Give l(q). -46 Suppose 2*j = -3*a + 7*j + 52, -a + 4*j = -8. Suppose 0*f = -2*b - 5*f + 5, -4*b + 4*f + a = 0. Let n(v) = 5*v - 2. Determine n(b). 23 Let u(h) = 7*h - 3. Let l(x) = 2*x**2 + 7*x + 26. Let a(n) = -l(n) - 3*u(n). What is a(-13)? 9 Let i(w) = -w**3 - 10*w**2 + w + 11. Suppose 8*c + 52 = 164. Let u = 9 + -6. Suppose 4*p = -l - c, u*l + 5*p + 28 = -7. Determine i(l). 1 Suppose -4*d + 3*v + 6 + 1 = 0, 6*v - 18 = 0. Let p(s) be the third derivative of -3/8*s**d - 1/60*s**5 + 0*s + 0 - 1/2*s**3 + 17*s**2. Give p(-8). 5 Let p(j) be the second derivative of -j**3/3 + 387*j. Let o(b) be the third derivative of -b**5/60 - 5*b**4/24 + 2*b**3/3 + 4*b**2. Let a be o(-5). Give p(a). -8 Suppose -4*d = -2*b - 72, -4*d + 64 = d + 4*b. Let i(t) = -14 + 7 + d - 3*t. What is i(4)? -3 Let d(z) = -16*z - 211. Suppose -16386 = 4*j - 16334. Calculate d(j). -3 Let i = 7826 - 7806. Let y(m) = m**3 - 22*m**2 + 42*m - 33. What is y(i)? 7 Let t(a) be the third derivative of 1 - 1/60*a**5 - 7/6*a**3 + 0*a - 6*a**2 - 7/24*a**4. Determine t(-5). 3 Suppose -5*a - 195 = -4*m, -15*m + 5*a + 240 = -10*m. Let r = -56 + m. Let s(l) = -l - 15. What is s(r)? -4 Suppose 0 = -33*g + 36*g + 36. Let s(h) = 4*h**3 + 9*h**2 + 7*h + 13. Let f(u) = 5*u**3 + 8*u**2 + 9*u + 16. Let v(p) = -3*f(p) + 4*s(p). Determine v(g). -8 Suppose -6*t - 15 = -3*j - 11*t, j - 5 = 3*t. Suppose 36 = j*f - 39. Let l(a) = -7*a**2 + f - 25 + 8*a**2 + 7*a. What is l(-7)? -10 Let c(f) = 3*f + 5. Let q be -63*11/132*(-4)/3. Let u(p) = -p**3 + 5*p**2 - p + 5. Let t be u(5). Suppose d + q*d - 32 = t. What is c(d)? 17 Let a = 8564 + -8568. Let g(s) = -2 + 6*s**2 - 2*s - 7*s**2 + s. Determine g(a). -14 Let r(s) = s - 1. Let b = 40 - 10. Let g = b - 17. Suppose -3*q - w - 3 = 0, 1 = -4*w + g. What is r(q)? -3 Suppose 2*j - 3 = -2*p + 1, 0 = j + 1. Let o(z) = z**2 - 6*z + z**3 - p*z**2 + 4 - 3*z**2. Suppose 342 = 52*k - 20*k + 25*k. What is o(k)? 4 Let x(k) be the third derivative of 1/24*k**4 + 0*k + 0 - 2*k**3 - 5*k**2. Suppose 2*i - 168 = -156. Calculate x(i). -6 Let j(l) = -l**3 - 7*l**2 + 10*l + 18. Let k be ((-23)/((-1449)/336))/((-2)/3). Calculate j(k). 2 Let o(q) = 15*q**2 + 2*q - 1. Let f be (-2 + 0 + 3)*-54. Suppose -7*j + 124 = -261. Let g = j + f. Determine o(g). 16 Let w(r) = 5*r - 14. Let i(d) = -17*d + 106. Let y(m) = i(m) + 3*w(m). What is y(31)? 2 Let p be 28/98 - 313/(-7). Suppose p = -10*x + x. Let k(g) = -8*g - 5. Calculate k(x). 35 Let p be 0/(-4) + -4 + 28. Let c(r) = -16*r - 2 - 7*r + p*r + 4. Determine c(-2). 0 Let c(g) = -g**3 + 3*g**2 + 4*g + 14. Let t = -1252 + 1257. Calculate c(t). -16 Let r(f) = f**3 + 6*f**2 + 2*f. Suppose 0 = -2*s - 10, -4*i - 2*s = -70 - 16. Let x = -12 + i. Suppose -z = x - 7. Determine r(z). 15 Let a(h) = 1146 - 5*h - 610 - 548. Calculate a(-4). 8 Let y(w) = w**2 - 40*w + 64. Let f be y(24). Let s = 314 + f. Let l(g) = -5*g - 15. Calculate l(s). 15 Let a(y) = 84*y**2 + 10*y - 38. Let o be a(4). Let c(m) = 671*m + 670*m - o*m + m**2 - 3. Let p = 11 + -6. Determine c(p). -3 Let l(z) = z**2 - 6*z + 6. Let c(h) be the second derivative of 0 + 1/2*h**2 + 21*h + 1/12*h**4 + 2/3*h**3. Let w be c(-5). What is l(w)? 6 Let j(b) be the second derivative of b**5/60 - b**4/8 - b**3/6 - 6*b**2 + 56*b. Let l(r) be the first derivative of j(r). Give l(5). 9 Let n(z) = -3 - 2 + 325*z + 5*z**2 + 0*z**2 - 5 - 329*z. Let w(f) = f**2 - 1. Let i be (-9)/(-12)*4 - -3. Let l(y) = i*w(y) - n(y). Calculate l(-4). 4 Let m(z) = -5*z - 1. Let p(y) = 40*y + y**2 - 42*y - 2 - 5. Let t be p(4). Calculate m(t). -6 Let p(q) be the third derivative of -q**5/12 + q**4/12 + q**3/6 - 22*q**2 + 1. Let n(g) = g**2 -
{ "pile_set_name": "DM Mathematics" }
and give c. -8 Rearrange l**3 - 22 + 21 + 0*l**3 + 3*l**4 to the form k*l**4 + v*l**2 + g + c*l**3 + r*l and give g. -1 Rearrange 8*b**2 + 24 - 24 + (b - 2*b + 3*b)*(-4*b + 2*b + b) - b**2 + 0*b**2 + 0*b**2 + b**2 - b**2 + b**2 to u*b**2 + o + k*b and give u. 6 Express (6 + 9*a - 6)*(-2 + 6 - 3)*(-2 - 1 + 1)*(-1 - 1 + 4) in the form o*a + d and give o. -36 Express (30 - 5 + 27)*(1 + 2 - 2)*(-y**2 + y**2 - 3*y**3)*(3*y - 2*y + y)*(-3 - 4 + 6) as u + a*y**4 + h*y + i*y**2 + o*y**3 and give u. 0 Rearrange -22 + 16*g**3 - 29*g**3 + 7 + 15*g**3 to the form z + q*g**3 + t*g + b*g**2 and give q. 2 Express (9*l - 128 + 128)*(5*l - l - 3*l)*(-3 + 0 + 1) as s*l + t*l**2 + n and give t. -18 Express (4*h**2 - h**2 - 2*h**2)*(5*h**2 - 3*h**2 + 5*h**2 + (h + 2*h - 5*h)*(12 + 6*h - 12)) in the form w + f*h**2 + k*h**4 + v*h**3 + q*h and give k. -5 Express (-11*f - 11 + 11)*(2*f**2 + f**2 - 4*f**2) - 2*f**3 + 1 - 1 as u*f + k*f**3 + d + a*f**2 and give k. 9 Express 14 - 2*c**3 - 4*c**3 + 5*c**3 - 13 - 2*c**4 as o*c**2 + p + b*c**4 + i*c**3 + g*c and give p. 1 Rearrange (2*m + 1 - 1)*(-3 + 6 - 4)*(89*m - 46*m - 10*m) to the form f + j*m**2 + x*m and give j. -66 Express -5 - 11*g + 12*g + 5 in the form b*g + y and give y. 0 Express 3*u + u - 2*u + 6 - u in the form w*u + z and give z. 6 Rearrange -h - 12*h**3 + 18*h**3 - h to the form d*h**2 + r*h**3 + c*h + i and give c. -2 Rearrange -3*d**4 + 2 + 4 - d**3 - 4 - 3*d**2 to y*d**3 + b*d**4 + w + r*d**2 + h*d and give y. -1 Express (7*t - 3*t - 3*t)*(4 - 3 - 3 + (4 + 0 - 2)*(-9 + 7 + 6)) as s + b*t and give b. 6 Express (12*t - 8*t - 5*t**2 + t**2)*(1 - 3 + 1)*(-3*t - 1 + 1) in the form c*t + v*t**2 + u*t**3 + h and give u. -12 Express w**3 - w**3 + w**3 + (w + 3*w - w)*(-5*w**2 + 2*w**2 + 0*w**2) - 2*w**3 + 3*w**3 + w**3 in the form x*w**2 + d + g*w + o*w**3 and give o. -6 Express 5*m**2 - m**3 + 5*m**4 - 6*m**2 - m**4 as q*m + h*m**3 + p + o*m**2 + w*m**4 and give w. 4 Rearrange (15 - 5*m - 26 + 6*m)*(-4 + 4 + 1)*(-4*m + 4*m + 2*m) to u*m**2 + b*m + j and give u. 2 Express 2*c + c**3 + c**2 - c**2 - 3*c**3 in the form v*c**2 + t*c**3 + h + b*c and give b. 2 Express -8*t - 2*t**4 + 0*t**4 + 10*t + 7*t**4 - 3 as x*t**3 + l*t**2 + m + w*t**4 + v*t and give w. 5 Rearrange 0*o**3 - o**3 - 2*o**4 + 2*o**4 - 1 - 5*o**4 - 2*o**2 to the form a*o**2 + m*o**4 + i + c*o + y*o**3 and give a. -2 Express (-1 + x**3 + 1)*(3 - 3 - 1) + 0*x**2 - 2*x**3 + 0*x**2 + (-2 + 3 - 2)*(26*x**3 + 139*x - 139*x) as b*x**3 + n + f*x + h*x**2 and give b. -29 Rearrange (-3 + 4 - 3)*(1 + h - 1 + (1 - 1 + 2)*(-5*h - h + 4*h) + 5 - 5 - 2*h) + 0*h + 2*h - 3*h + (-3 + 3 - 2*h)*(4 - 1 - 1) to the form r*h + l and give l. 0 Express -14*p**2 + 0*p**2 - 8*p**2 as h + a*p + y*p**2 and give y. -22 Express (-2*m**3 + 12*m - 12*m)*(1 + 2*m - 1 + (0*m + 2*m - 3*m)*(2 - 2 + 2) - m + 2*m - 4*m) as z*m**3 + w*m**4 + n*m + v*m**2 + d and give w. 6 Rearrange (7*f + 2*f - 5*f)*(-f + 0*f - f) + 3*f**2 - 6*f**2 - f**2 to the form q*f**2 + m + d*f and give m. 0 Express 3*i + 0*i + 0*i + (4 - 1 - 4)*(12 - 12 + 6*i) - i - 2 + 2 as f + x*i and give f. 0 Express -2*j + 3*j**3 - 2 + 0*j**4 + 0 - j**4 + 3 in the form k*j**4 + o*j**3 + b*j**2 + h*j + q and give h. -2 Express -2*b**3 - 12*b - 2 + 11*b + 3*b**3 in the form s + u*b + o*b**3 + a*b**2 and give s. -2 Express -2*p**2 + 4*p**2 + 3*p**3 - 2*p**3 - 3*p**3 - p**3 + 3*p**3 + (p**2 + p**2 - 4*p**2)*(-p + p + 2*p) in the form a*p**2 + n + f*p**3 + u*p and give a. 2 Express 1 - 2 + 1 + 6*p as c*p + d and give c. 6 Rearrange -6*v + 9*v - 8*v + 4*v - 4 - v - 4*v - v - 3*v + 5*v + 5*v + v - 4*v + (-3 + 4 + 1)*(2*v - v - 3*v) to q + t*v and give t. -7 Rearrange (-38 + 25 + 160)*(3 - 2 + 0)*(2 - 2 - 2*r) to n*r + g and give n. -294 Express -4*z**3 + 1 - z + 1 - 4 in the form c + k*z + y*z**2 + g*z**3 and give c. -2 Rearrange (-4*x + 5*x + 4*x)*(2 - 2 - 3) + 0*x + 3*x - 2*x to the form r*x + d and give r. -14 Rearrange 3*c**2 - 1 + 1 + (5 + 0 - 2)*(4*c**2 - 15*c**2 - 3*c**2) to the form r + v*c**2 + n*c and give v. -39 Rearrange (-g + g - 3*g**2)*((2 + 1 - 1)*(0 + 0 - 1) - 3 - 3 + 5 - 2 - 4 + 4 - 1 + 13 + 4) to c + u*g + s*g**2 and give s. -33 Express -3 + 2 + 3 - 2*i + (3 - 6 + 1)*(-i - 4*i - 2*i) as f*i + o and give o. 2 Rearrange 7*j**2 + 13*j**2 - 2*j**2 to the form z + u*j + b*j**2 and give u. 0 Express (-7 - 7 - 7)*(-4*t + 6*t**2 + 4*t) as k*t**2 + a + u*t and give k. -126 Express (j**2 - 13*j**4 + 49*j**4 + j**2 - j)*(5 - 2 - 2) as z*j + s*j**2 + t*j**4 + n + g*j**3 and give z. -1 Rearrange -118 - n**2 + 118 + n**3 - 6*n to b + v*n**2 + l*n**3 + q*n and give q. -6 Rearrange 3*m**3 - 5*m**3 + 5 - 2*m**4 - 10 to k + g*m**2 + c*m + u*m**4 + p*m**3 and give p. -2 Rearrange 49*j + 30 - 30 to n*j + v and give n. 49 Rearrange 3 + 3*x**2 + 7*x**3 - 13*x**3 + 7*x**3 to the form c*x**2 + p*x + h*x**3 + f and give h. 1 Express 7*m**2 + 0*m**2 - 6*m**2 + 7 - 25 as i*m + a*m**2 + r and give r. -18 Rearrange -b**4 + b**3 - b**3 + (2*b**2 - 2*b**2 + b**3)*(b - 5*b - b) to the form v*b**2 + k*b**4 + m*b + d*b**3 + a and give k. -6 Rearrange 12*m + 10*m + 13*m - 2*m**2 + 3 - 24*m to the form f*m + z + v*m**2 and give z. 3 Rearrange 44*a + 2739 - 2739 to u*a + p and give u. 44 Express 13 - 1 - 9 + 2*r + 11 as j + w*r and give j. 14 Express -608 + 10*f + 608 - 4*f + 4*f + 2*f + (0 + f + 0)*(-3 + 1 + 3) + f + 0 + 0 + (2 + 0 - 4)*(-2*f + f + 0*f) as r + s*f and give s. 16 Express (237 - 237 + 47*w**2)*(-2*w - 2*w + 2*w)*(3*w + 2*w - 4*w) - 4*w**4 + w**2 + 3*w**4 + w**2 in the form m*w**2 + v*w**4 + s*w + o*w**3 + n and give v. -95 Rearrange (-9 + 21 - 4)*(4*j - 3*j - 8*j)*(0*j**2 + 5*j**2 - 6*j**2) to the form s*j**2 + g*j + c*j**3 + w and give c. 56 Rearrange -2*t - 4*t**3 + 5*t**3 + 4 + t**2 + 2*t to the form k*t**2 + s + u*t**3 + p*t and give u. 1 Rearrange 0 + 0 - c + (4*c - c - 4*c)*(-1 - 1 - 2) + 0*c - 4*c + 3*c + (3 + 2 - 3)*(-2 + c + 2) + 0*c - c + 4*c to q + w*c and give w. 7 Rearrange (-21 + 20 + 89)*(-2*y + 7*y - 3*y) to the form o + l*y and give l. 176 Rearrange 12*c**2 - 20*c + 20*c + 2 to the form v*c**2 + u + x*c and give v. 12 Express -q - 7*q**3 - 10*q**2 - 2*q + 3*q as h + n*q**3 + r*q + l*q**2 and give n. -7 Express -5*o**2 - 1 - 1 + 3 - 9*o**2 in the form l + t*o + y*o**2 and give l. 1 Rearrange h + 1 + 0*h + 2*h + 7*h - 2*h + 0*h + (0 + 2*h + 0)*(-4 + 3 + 3) + 2 - 2*h - 2 to j*h + f and give j. 10 Express -3*r - 2*r + 61*r**2 + 2*r + r in the form v*r + a*r**2 + o and give v. -2 Express (-1 + 2 - 4)*(0 + 2*w + 0) - 3 - w + 3 + (4 - 2 - 3)*(-2*w - 2*w + 6*w) - w + 3*w + w as h + i*w and give i. -6 Express -1 + 1 + 3*b + (-b + 2*b + 0*b)*(-1 + 4 - 2) + 1 - b - 1 in the form l*b + v and give l. 3 Express -2*i**3 + 3*i**3 - 3*i + i**2 + i**3 - i**3 as z + q*i**2 + s*i**3 + u*i and give s. 1 Express l**4 + 0*l**4 - l + l**3 - 2*l**3 + 2*l**2 in the form u*l**4 + s*l**3 + y*l**2 + r + i*l and give u. 1 Express (-2*s - 3*s + 0*s)*(2*s - s - 2*s) + (-2 + 5 - 2 - 3*s**2)*(1 + 1 - 3) in the form k + q*s**2 + w*s and give k. -1 Express (0*p**2 + 31*p**4 - 30*p**4 + 16*p + p**2)*(3 - 1 - 3) in the form i*p**2 + w*p + j*p**4 + y*p**3 + n and give i. -1 Express (-3*y - 4*y + 5*y)*(-4 + 2 + 0) - 5*y + 2*y + y + (-1 + 4 - 1)*(-2 + 2 + y) in the form v*y + i and give v. 4 Rearrange 15*o + 7*o - 38*o**2 - 2*o**3 + 1 + 38*o**2 to the form l*o**2 + a + y*o + m*o**3 and give m. -2 Express -3*p - 2*p + 3*p + 4*p as z + a*p and give z. 0 Rearrange -4*x**4 - x**3 - 8*x**4 + 16*x**4 - x to the form q*x + p*x**2 + s*x**4 + r*x**3 + o and give r. -1 Express 2*s**3 + 25*s - 3*s**3 - 14*s in the form f*s + d*s**3 + k*s**2 + q and give d. -1 Express -91 - 35*j**3 + 91 + (j - 2 + 2)*(j**2 + j - j) + 0*j - j**3 + 0*j as z + i*j + f*j**3 + p*j**2 and give z. 0 Rearrange -47*p**2 + 1 - 2*p - p**3 + 47*p**2 to r*p + j*p**2 + z + h*p**3 and give r. -2 Express (0 + 1 + 1 + (1 - 6 + 4)*(4 - 2 - 1) + 3 - 6 - 1)*(4*n - 5*n + 3*n) in the form w*n + h and give w. -6 Rearrange -15*y - 39 + 39 to o*y + g and give o. -15 Express 4*b**2 - 20*b**2 - 80*b**2 - 33*b**2 in the form p*b + r*b**2 + n and give r. -129 Rearrange (-7*p + 4*p + p)*(-1 + 0 - 2) - 3 + 4*p + 3 to v*p + n and give v. 10 Express 2*w - 1 + 2*w - 8*w in the form t + d*w and give d. -4 Express
{ "pile_set_name": "DM Mathematics" }
, -5, -21521 Put 439, -80, -2 in decreasing order. 439, -2, -80 Sort -1/3, 2, 0.071, 3/7, 3/4, 0.01 in decreasing order. 2, 3/4, 3/7, 0.071, 0.01, -1/3 Sort -2, 1, -4, 993. -4, -2, 1, 993 Sort 4, -5, -40944, -2 in ascending order. -40944, -5, -2, 4 Sort 4, 6, -59, 3, 5, -1 in decreasing order. 6, 5, 4, 3, -1, -59 Sort 67, 6, 5, 22 in decreasing order. 67, 22, 6, 5 Put -26, 428, -3 in increasing order. -26, -3, 428 Sort 0.4, 14/5, 0.1, 1/37, 5 in decreasing order. 5, 14/5, 0.4, 0.1, 1/37 Sort 26, -4, 4, -40 in decreasing order. 26, 4, -4, -40 Put -2, -22, 5, 16, 2, -119 in increasing order. -119, -22, -2, 2, 5, 16 Put 2, 13, -5437 in descending order. 13, 2, -5437 Put -1962, 3, -2, 91 in decreasing order. 91, 3, -2, -1962 Sort 4, 3, 1608, 1 in increasing order. 1, 3, 4, 1608 Put 3, 798, -45, -0.2 in decreasing order. 798, 3, -0.2, -45 Sort -1, 14, 0.25, 16, -3/4. -1, -3/4, 0.25, 14, 16 Sort 376, 14, -12, -1 in descending order. 376, 14, -1, -12 Put -0.3, -0.4, 16/3, 404/5 in descending order. 404/5, 16/3, -0.3, -0.4 Sort -3, -0.224, -0.3 in ascending order. -3, -0.3, -0.224 Put -532, -14, 3 in ascending order. -532, -14, 3 Sort 2, -62, -6 in increasing order. -62, -6, 2 Put -57, -5, -5/2, 2/3, 28 in decreasing order. 28, 2/3, -5/2, -5, -57 Sort -0.1, 2/13, 1/4, -1.1, 2.5. -1.1, -0.1, 2/13, 1/4, 2.5 Put 1.1, -4, -5, -1, 5246 in increasing order. -5, -4, -1, 1.1, 5246 Sort -3, 2, -1, 1, -7, -182. -182, -7, -3, -1, 1, 2 Sort -4, -13, 3, 1, 2 in descending order. 3, 2, 1, -4, -13 Sort 9, -6981, -1, 5, -5 in ascending order. -6981, -5, -1, 5, 9 Sort -1, -173871, 0, -3, -2, 1 in decreasing order. 1, 0, -1, -2, -3, -173871 Sort 8, 0.057, -5, 0.2 in ascending order. -5, 0.057, 0.2, 8 Sort 19, -4, -10, 2, 355 in increasing order. -10, -4, 2, 19, 355 Put 6, 102, 5, 1, -37 in descending order. 102, 6, 5, 1, -37 Put -45367, -3, 3 in ascending order. -45367, -3, 3 Sort 46, 0, -3512 in ascending order. -3512, 0, 46 Sort -1, -1/3, 59, -1/8, 2/2555 in descending order. 59, 2/2555, -1/8, -1/3, -1 Sort 1/8, 714, 2/11, 1/9, -1/7. -1/7, 1/9, 1/8, 2/11, 714 Put -1, -0.7, -1/3, 498.5 in descending order. 498.5, -1/3, -0.7, -1 Sort 3612, 1, -1, 4. -1, 1, 4, 3612 Put -3, -10985, 1 in increasing order. -10985, -3, 1 Sort 3/8, -1/2, 3.8, 1.9, 2, -4 in increasing order. -4, -1/2, 3/8, 1.9, 2, 3.8 Sort 3, 2, 30, -103. -103, 2, 3, 30 Put 4, 121, -42, -2, -9 in ascending order. -42, -9, -2, 4, 121 Put -23, 39, 4, 0, -5, -4 in descending order. 39, 4, 0, -4, -5, -23 Sort 61, -1, 5, 63 in descending order. 63, 61, 5, -1 Put -2, 6, 537 in descending order. 537, 6, -2 Sort -4, 57, -3/2, -2/3, -30, -0.1. -30, -4, -3/2, -2/3, -0.1, 57 Sort -3, 68, 22, 0 in decreasing order. 68, 22, 0, -3 Put -205, -17, 5 in descending order. 5, -17, -205 Put -5, 662, -4, -114 in decreasing order. 662, -4, -5, -114 Put -128, -34, 4, -4 in increasing order. -128, -34, -4, 4 Sort 0.2, 4, -1, -56/9, -3856 in descending order. 4, 0.2, -1, -56/9, -3856 Sort -1.4, 13/4, -0.1 in decreasing order. 13/4, -0.1, -1.4 Put 3, 13, 4, -3, -1, 8 in decreasing order. 13, 8, 4, 3, -1, -3 Sort 4, 3/2, -2, -36, 17/2 in ascending order. -36, -2, 3/2, 4, 17/2 Put -2/49, 4, 701 in descending order. 701, 4, -2/49 Sort -3/79, -4/5, 1/3, -138 in descending order. 1/3, -3/79, -4/5, -138 Sort -168, 0, 5, 1, -282 in decreasing order. 5, 1, 0, -168, -282 Put -23, -2, -10, 4, 63 in ascending order. -23, -10, -2, 4, 63 Sort 80/313, 2/5, -4 in descending order. 2/5, 80/313, -4 Sort -96, -3, 200 in ascending order. -96, -3, 200 Put -780, -3, -351 in descending order. -3, -351, -780 Sort 1, -1087, -4. -1087, -4, 1 Sort -8, -75, 4, -1 in descending order. 4, -1, -8, -75 Sort -1, -11297, 27, 3 in increasing order. -11297, -1, 3, 27 Sort 14929, -3, 50 in ascending order. -3, 50, 14929 Put 0.2, 4, -3, 8, -2.4, -85 in ascending order. -85, -3, -2.4, 0.2, 4, 8 Sort -23, 18, -9 in decreasing order. 18, -9, -23 Sort -32, 4, -38 in descending order. 4, -32, -38 Sort 22, -3, 124, -0.4, 2/7. -3, -0.4, 2/7, 22, 124 Sort 116, 1, 4, -5, -1, -24. -24, -5, -1, 1, 4, 116 Put -2, 0, -4895, 22 in decreasing order. 22, 0, -2, -4895 Put -5, -121, 0, 1/5 in decreasing order. 1/5, 0, -5, -121 Sort 1/17, -5, -2, 2, -1/3, -82 in descending order. 2, 1/17, -1/3, -2, -5, -82 Sort -3, 101, 3, 195. -3, 3, 101, 195 Sort 0.5, 0, -1/1421, 2/11 in increasing order. -1/1421, 0, 2/11, 0.5 Put -6, -14, -3, -26, -0.2 in increasing order. -26, -14, -6, -3, -0.2 Put 2, 6, -3, 1, 0 in descending order. 6, 2, 1, 0, -3 Put -5, -42, 6, 5, 3 in descending order. 6, 5, 3, -5, -42 Put 23, 5, -98, -2, -4 in decreasing order. 23, 5, -2, -4, -98 Put -473, -4, -3, -26 in descending order. -3, -4, -26, -473 Put -1, -7183, -62 in decreasing order. -1, -62, -7183 Sort -127, -195, -4. -195, -127, -4 Sort -0.4, 15, 1/3, 13 in increasing order. -0.4, 1/3, 13, 15 Sort -4, -5, -2, -114, 46 in increasing order. -114, -5, -4, -2, 46 Sort -1/5, 20.4, -24, 0.05 in increasing order. -24, -1/5, 0.05, 20.4 Put 44781, -2/5, -0.5, 3 in descending order. 44781, 3, -2/5, -0.5 Put 1, 20, -4, -5, 2, -511 in ascending order. -511, -5, -4, 1, 2, 20 Sort -4, 2265, 0, 3, -5. -5, -4, 0, 3, 2265 Sort 5, -1, -3/5, 8.84, 4/7 in descending order. 8.84, 5, 4/7, -3/5, -1 Put -2/9, -27/23, -7 in increasing order. -7, -27/23, -2/9 Sort -912543, -4, 1, 5, -0.2 in ascending order. -912543, -4, -0.2, 1, 5 Put 0.5, -5/7, -6/5, -0.1, -5 in increasing order. -5, -6/5, -5/7, -0.1, 0.5 Sort -14, -1, -4, -30, 0.5 in decreasing order. 0.5, -1, -4, -14, -30 Put -5, 198, 0.06, 0.5 in descending order. 198, 0.5, 0.06, -5 Sort -5, -12, 4, -4035 in decreasing order. 4, -5, -12, -4035 Put 55, -3, 4, -1 in increasing order. -3, -1, 4, 55 Sort -4/3, 17/75, -1 in descending order. 17/75, -1, -4/3 Sort -3, 1, -109, 69 in descending order. 69, 1, -3, -109 Sort -5, -3, 3/7, 0.6, 3/4 in decreasing order. 3/4, 0.6, 3/7, -3, -5 Sort -0.6, -1, 28, -0.07, -2/3. -1, -2/3, -0.6, -0.07, 28 Sort -2/5, -4.35, -26, -1/2, 0.3 in decreasing order. 0.3, -2/5, -1/2, -4.35, -26 Sort -4, 238, 35 in decreasing order. 238, 35, -4 Put 5, 0, -40, 3, -2, -1 in decreasing order. 5, 3, 0, -1, -2, -40 Put -0.5, 3, 0.5, 6, 0.2534, 4 in decreasing order. 6, 4, 3, 0.5, 0.2534, -0.5 Put -4, -0.36, 4, 63, -1/4, 3 in decreasing order. 63, 4, 3, -1/4, -0.36, -4 Sort 51, -3, -1, 3, -21 in descending order. 51, 3, -1, -3, -21 Sort 13, -34, 4, 67. -34, 4, 13, 67 Sort 0, 3, 12, -4, -68, 2. -68, -4, 0, 2, 3, 12 Sort -1, 4, 1/4, 5/6, 36 in descending order. 36, 4, 5/6, 1/4, -1 Sort -15/37, -2/3, -2/5 in descending order. -2/5, -15/37, -2/3 Sort -5, -13, 0, 3, -8, 60. -13, -8, -5, 0, 3, 60 Sort -2/131, -3/10, -1/2, -1, -4. -4, -1, -1/2, -3/10, -2/131 Sort -3/8, 2/220061, -0.1, 0.5. -3/8, -0.1, 2/220061, 0.5 Put -1.9, 0.07, 75 in ascending order. -1.9, 0.07, 75 Sort -2, -1/34, 2/13 in ascending order. -2, -1/34, 2/13 Sort 0, 0.143, 0.1, 121 in ascending order. 0, 0.1, 0.143, 121 Put 1, 234, 3, 5, -38 in descending order. 234, 5, 3, 1, -38 Put 2, 3, -4, 956, -3 in descending order. 956, 3, 2, -3, -4 Sort 1056, -5, -1273. -1273, -5, 1056 Sort -2, 239116, 0.3, -0.2, 5/3. -2, -0.2, 0.3, 5/3, 239116 Sort 1, 277, -33, 2, 3 in descending order. 277, 3, 2, 1, -33 Sort -0.1, 1, 0.02, -1.3, -2 in decreasing order. 1, 0.02, -0.1, -1.3, -2 Sort -1/3, 0.03, 31, -0.084 in descending order. 31, 0.03, -0.084, -1/3 Sort 0.3, 0, 1/8, -1/4, -15 in descending order. 0.3, 1/8, 0, -1/4, -15 Sort -2, -274, -15, 3 in decreasing order. 3, -2, -15, -274 Sort -5, -6, 2108 in ascending order. -6, -5, 2108 Put 0.22, -2/7, -0.1, 5/8 in increasing order. -2/7, -0.1, 0.22, 5/8 Put 0.05, -14, -0.02623 in decreasing order. 0.05, -0.02623, -14 Sort -3, -5, 1/3, -0.02, -2/3473 in descending order. 1/3, -2/3473, -0.02, -3, -5 Sort 13, 4.28, 1 in decreasing order. 13, 4.28, 1 Sort -2/3, 2/5, 202, -3/17 in ascending order. -2/3, -3/17, 2/5, 202 Sort -0.13, -544.2, -2/13 in descending order. -0.13, -2/13, -544.2 Sort -7, 6, 79, -2, -4, 3 in increasing order. -7, -4, -2, 3, 6, 79 Sort -0.5, 1, 4/7, 4, -1/5, -5/14 in ascending order. -0.5, -5/14, -1/5, 4/7, 1, 4 Sort -2, -5, 5, 4, -180 in descending order. 5, 4, -2, -5, -180 Sort -4, -18093, 4, -5, 5 in descending order. 5, 4, -4, -5, -18093 Sort 166, 6, -3, -1
{ "pile_set_name": "DM Mathematics" }
82*j. Calculate a(9). 3 Suppose -20 = -5*g, 45*n + g + 20 = 49*n. Let w(x) be the third derivative of 1/60*x**5 - 1/6*x**3 + 0*x**4 - 1/40*x**n + 11*x**2 + 0 + 0*x. Give w(1). -3 Let x = 44 - 35. Let d(a) be the second derivative of a**5/20 - 5*a**4/6 + 13*a**3/6 - 13*a**2/2 - 3*a. What is d(x)? 23 Suppose 5*f - 2*s - 11 = 105, -s + 2 = 0. Suppose 6*k - 2*k = f. Let h(c) = -k + 2 - c**2 + 2 + 3*c. Calculate h(4). -6 Let s(l) = l**3 + 10*l**2 + 11*l - 42. Let r(h) = -3*h**3 - 30*h**2 - 29*h + 122. Let x(j) = 6*r(j) + 17*s(j). Give x(-11). -4 Let a(f) = -20*f**2 + 3 + 14*f + f - 10*f**2 + 31*f**2. Give a(-18). 57 Let b(u) = u**2 - u + 3. Let v(y) = -5*y**2 + 6*y - 14. Let p(o) = -3*b(o) - v(o). Let s be p(2). Let d(j) = -j**3 + 8*j**2 - 4*j - 8. Determine d(s). 13 Let w(z) = -2 - 5 - 9*z - z**2 - 4. Let d(v) = v**2 - 5*v - 9. Let y be d(0). Determine w(y). -11 Suppose 0 = -5*y + 14*y. Suppose -4*z + 5*c = -36, 2*z = 2*c + 11 + 5. Let p(b) = -2 + 4 - 5 - z - b. What is p(y)? -7 Let x(h) = 2*h**2 - 3*h + 2. Let r(p) = p**2 - 2*p + 1. Let d(t) = -5*r(t) + 2*x(t). Suppose -4*y + 48*b + 17 = 47*b, y - 7 = 3*b. What is d(y)? -1 Let p(v) be the second derivative of v**4/12 - 2*v**2 - 5326*v. Give p(6). 32 Let i(n) = 48*n**3 - n + 1. Suppose 27*j + 3*j - 50 = -20*j. Give i(j). 48 Let p(r) = -12*r + 4*r**3 - 3 - r**2 + 2*r - 5*r**3 + 15*r. Let t be p(2). Let o(g) = g**2 + 7*g - 5. Give o(t). -15 Let l be 7 - (5 - 6)*(6 - 4). Let h(z) = 0 - 8 + l + 8*z. Determine h(-2). -15 Let w = -81 - -89. Let k(z) = -12*z + 0*z + 0 + w*z - 2. Determine k(4). -18 Let x(z) be the second derivative of z**4/12 - z**3/6 + z**2/2 - 579*z. Let b be 1 + 1/3*6. Determine x(b). 7 Suppose -5*i = 6*f + 2080, -5*f + 1250 = -3*i - 9*f. Let j = i + 405. Let s(m) = m**3 + 5*m**2 + m + 2. Determine s(j). -3 Let u(q) = -22*q - 61. Let i be u(-3). Suppose i*z - w + 28 = 0, 3*z - 13*w + 18*w = -28. Let o(v) = -v**3 - 5*v**2 + 6*v - 6. Calculate o(z). -6 Let k(l) be the second derivative of -l**5/20 - l**4/3 + l**3 + 2*l**2 + 2*l + 4007. Determine k(-5). -1 Let k(y) = -y - 3. Let x(t) = 33*t - 30. Let m be x(1). Suppose -2*l - 9 = -m*l. What is k(l)? -12 Let g(p) be the second derivative of -99 + p - 1/6*p**3 - 1/12*p**4 + 5/2*p**2. What is g(4)? -15 Suppose 4*d + 77 = 10*d - 7. Let c(w) = -w**2 + 18*w - 26. What is c(d)? 30 Let m(l) = 29*l - 6. Let o = 4523 - 4526. Determine m(o). -93 Let w(o) = -o**2 + 5*o + 6. Suppose 33*z + 24 = 29*z, -2*z = -v + 17. Calculate w(v). 6 Let f(p) = -6*p - 3. Let z = -3 - -10. Let l be 13 + 6*4*(-6)/144. Suppose 15 = z*b - l*b. Give f(b). 15 Let d(q) = 13398*q**2 - 13398*q**2 + 20*q**3 - 2*q + 1. Calculate d(1). 19 Let c be (-24 - -21)*(-9 - (-160)/30). Let d(y) be the second derivative of y**5/20 - 11*y**4/12 - 15*y**2/2 + 2*y. Calculate d(c). -15 Let f(x) = -2*x**3 + 7*x**2 + 6*x - 1. Let l(w) be the first derivative of 3*w**4/4 - 14*w**3/3 - 6*w**2 + 188. Let k(m) = -5*f(m) - 3*l(m). Calculate k(-6). 5 Let i be (-44)/(-902) - 9981/369. Let v(r) = 6*r + 162. Calculate v(i). 0 Suppose 0 = -9*a + 9 - 30 - 6. Let p(c) = -c**2 + c + 2. Let d = 17 + -28. Let u(z) = -2*z**2 + z + 3. Let o(s) = d*p(s) + 6*u(s). Calculate o(a). 2 Let l(u) = -3*u**3 + 9*u**2 - 23*u + 26. Let q(b) = -4*b**3 + 4*b**2 - 25*b + 25. Let h(m) = -3*l(m) + 2*q(m). Determine h(18). -10 Let y(h) = h**3 - h**2 - 20*h - 5. Let j = -5656 - -5652. Determine y(j). -5 Let y(a) = -11*a**2 - 1. Let v = 404 + -419. Let l be 9 + 150/(-12) + v/(-6). Give y(l). -12 Let p(l) = -8*l**3 - l**2 + 46*l - 4. Let h(z) = 7*z**3 + z**2 - 40*z + 4. Let r(y) = 7*h(y) + 6*p(y). What is r(0)? 4 Suppose 11*d + 34*d + 148 = 119*d. Let s(b) be the second derivative of 1/3*b**3 + 0 + 25*b + 2*b**d. Give s(-6). -8 Suppose 22 = 24*x - 74. Let b(y) = y**3 - 5*y**2 + 3*y - 2. What is b(x)? -6 Suppose -3*l + 1585 = -2*o, 0 = -3*l + 13*o - 12*o + 1586. Let q(x) = 12*x - 1061 + l + 533. Give q(-1). -11 Let y = -9355 + 9355. Let m(c) = -c + 86. Give m(y). 86 Let g(p) be the second derivative of -p**6/720 + p**5/60 - 17*p**4/4 - p**2/2 - 28*p. Let x(b) be the third derivative of g(b). What is x(7)? -5 Let w be (-5 - (-5 - -3)) + 15. Let t(d) = 5*d - w - 12 + 34 - 8. Suppose v = 2*v + 2. Give t(v). -8 Let t(j) = -474*j + 16*j + 454*j + 53 + 16*j. Calculate t(-6). -19 Let a(w) = -2*w + 36. Let h(p) = -p + 18. Let k(f) = 3*a(f) - 5*h(f). Let d be ((-117)/(-45))/13*0. What is k(d)? 18 Let a(t) = t**2 - 9*t - 139. Let i(v) = 48*v + 1265. Let d be i(-26). Calculate a(d). -3 Let g(t) be the first derivative of -3/2*t**2 + 3 + 6*t. Let u be (28/(-12) - -2)/((92/(-48))/23). Calculate g(u). -6 Let b(u) = -u + 1. Let h(s) = -s**3 - 7*s**2 - 2*s - 9. Let f(r) = 6*b(r) + h(r). Let j be -10 + (-6 - -16 - 4). Let m be (0 - 4)/(-2)*10/j. What is f(m)? -13 Let h(n) = 439*n**3 + 6*n**2 - 20*n + 107. Let a(f) = -549*f**3 - 6*f**2 + 21*f - 108. Let y(z) = 4*a(z) + 5*h(z). What is y(6)? 7 Let n be 2 - (-5)/(-15) - ((-46)/(-6) - 8). Let z(g) be the second derivative of 0 - 1/3*g**3 - n*g**2 + 1/12*g**4 - 6*g. Calculate z(4). 4 Suppose 4*q = f + 89, -4*q = -0*f + f + 129. Let r = f + 111. Let c(g) = -r*g**2 - 8 - 9 - g + 15. Calculate c(2). -12 Let b(x) = -2*x**3 - 8*x**2 + 23*x + 9. Let a(d) = 3*d**3 + 7*d**2 - 28*d - 10. Let j(c) = -3*a(c) - 4*b(c). Calculate j(10). 14 Let p(q) = 99*q + 499. Let s be p(-5). Let i(c) be the second derivative of -1/20*c**5 - 1/3*c**3 + 5/12*c**s + 0 - 4*c + 2*c**2. Calculate i(5). -6 Let k(m) = m**2 - m - 26. Let l be 51*(-8 + (-552)/(-68)). What is k(l)? 4 Let n(o) be the second derivative of o**5/20 + o**4/2 + 2*o**3/3 - o**2 - 11*o - 1. Give n(-4). 14 Let p(w) be the first derivative of -w**4/4 + 7*w**3/3 - w**2/2 + 9*w + 11625. Let l(d) = -d + 4. Let f be l(5). Let k = 8 + f. What is p(k)? 2 Let v(p) = 0 - 9 + 331*p - 333*p. Let g = 2 - 9. Give v(g). 5 Let t(z) = -1129*z - z**2 + 9*z**3 + 3*z**2 + 2254*z - 1120*z + 4. Give t(-1). -8 Let h(f) be the first derivative of 3*f**2/2 + 20*f - 2231. What is h(-14)? -22 Let f(m) = -2*m**3 + 81*m**2 + 115*m + 185. Let o(t) = 3*t**3 - 108*t**2 - 153*t - 252. Let z(r) = -15*f(r) - 11*o(r). What is z(-7)? -3 Suppose 85 = 16*k - 55 + 12. Let b(i) = -6*i + 8. Give b(k). -40 Let v(j) = -24*j + 10 + 15*j - 10*j**2 - j**3 + 18*j. What is v(-11)? 32 Let j(h) = -6*h**3 - 30*h**2 - 15*h - 11. Let y(r) = r**3 + 4*r**2 + r - 1. Let z(p) = j(p) + 5*y(p). Determine z(-9). -7 Let v(u) = 2*u**3 - u - 1. Let y(g) = -14*g**3 - 3*g**2 + 11*g + 8. Let i(w) = 8*v(w) + y(w). Let o = 20 + -16. Suppose k = 3*k - o. Give i(k). 10 Let s(d) = d**3 + 11*d**2 + 8*d + 2. Let o(v) = 2*v**3 + 22*v**2 + 16*v + 3. Suppose -110 = -9*u - 29. Let f(i) = u*s(i) - 4*o(i). What is f(-10)? 26 Let n(i) = -i + 10. Let s(q) = 8*q**3 - 2*q**2 + 4*q - 2. Let p = 175 + -174. Let w be s(p). Calculate n(w). 2 Let x(c) = 50*c + 949. Let t be ((-32)/20)/((-35)/(-25) - 1) - 15. Calculate x(t). -1 Let i(t) be the first derivative of 5/2*t**2 - 3*t - 40 - t**3. Calculate i(4). -31 Let x(a) = -4*a - 1. Suppose -2*p + 6 + 0 = 0. Suppose -2*n + 4*f - 12 = 0, 0 = n - f - 0*f + p. Let l(z) = z**3 - z - 1. Let j be l(n). Determine x(j). 3 Let c(y) = y**2 - 6*y - 11. Let s(p) = 8*p**2 + p - 9. Let z be s(6). Suppose -8*o - 221 + z = 0. Determine c(o). 5 Suppose y = 4 + 20. Let f be (y/(-20))/(10/(-25)). Let b(m) = -3*m - 1 - 2*m**3 + f*m**3 + 3 - m**2. Determine b(3). 11 Suppose 27 = 8*r - 5. Let c(k) = -6*k - 2*k + k + 7*k + k**3 - r*k**2 - 4 + k. Calculate c(5). 26 Suppose -4*y + f + 8 = 0, 3*y - 7*y + 24 = 3*f. Suppose -y*v + 0*b + b = 15, 0 = -4*v - 2*b - 30. Let i(l) = l. Determine i(v). -6 Let t(r) = 5 + 8 + 4*r - 30 + 14. Let x(h) = -2*h - 14. Suppose -3*o - 3*o = 48. Let g be x(o). What is t(g)? 5 Suppose 17*z = 974 + 1100. Suppose o - z = -129. Let l(j) = j**3 + 7*j**2 + j + 4. What is l(o)? -3 Let u = -1 - 1. Let k(j) be the first derivative of 3*j + 5/2*j**2 + 114. Calculate k(u). -7 Let k(r) = -r**3 - 6*r**2 - 14*r - 43. Let s be k(-5). Let x(u) = -4*u - 7*u + s - 1 + 3*u. Give x(-2). 17 Suppose -4*n - 3*z + 8*z = 2, -2*n + z = 4. Let q be 7 - 10 - 15/n. Let d(h) = -10*h - 2. Calculate d(q). -22 Let r(p) = 13*p + 137. Let q be r(-8). Suppose 66*n - q = 77*n. Let j(z) = -17*z - 12. Let l(x) = -6*x - 4. Let v(k) = -
{ "pile_set_name": "DM Mathematics" }
176737, 64176735, 64176733? 64176731 What is next in 11368, 12361, 14022, 16357, 19372? 23073 What is next in 2600653, 2600668, 2600693, 2600728, 2600773, 2600828, 2600893? 2600968 What is next in -37284, -75486, -113688, -151890, -190092? -228294 What is next in -30737, -30782, -30851, -30956, -31109, -31322, -31607? -31976 What is the next term in -452, -3553, -11684, -27269, -52732, -90497, -142988, -212629? -301844 What is the next term in -122600, -122647, -122716, -122807, -122920? -123055 What comes next: -14885, -119553, -403811, -957455, -1870281, -3232085, -5132663, -7661811? -10909325 What is next in -4105, -2581, -1067, 431, 1907? 3355 What is next in -2198410, -4396830, -6595250, -8793670, -10992090, -13190510? -15388930 What is next in -54948, -110091, -165244, -220413, -275604? -330823 What is next in 349, 98, -587, -1922, -4123? -7406 What is the next term in -65473, -59534, -53593, -47650, -41705? -35758 What is the next term in 2415478, 2415449, 2415388, 2415283, 2415122, 2414893, 2414584? 2414183 What comes next: -109425842, -109425840, -109425838, -109425836, -109425834? -109425832 What is the next term in -77146, -154334, -231560, -308824? -386126 What is the next term in 1188, 4726, 10600, 18810, 29356, 42238, 57456? 75010 What comes next: -130908, -130972, -131170, -131574, -132256, -133288? -134742 What is the next term in -835087, -1670103, -2505119, -3340135, -4175151, -5010167? -5845183 What is the next term in 243413, 243734, 244269, 245018, 245981? 247158 What is the next term in -3982, -16014, -36070, -64150, -100254? -144382 What comes next: 5923, 5157, 3885, 2107? -177 What comes next: -2056, -3371, -4642, -5869, -7052, -8191, -9286? -10337 What is the next term in 1216, 2232, 3014, 3562, 3876, 3956, 3802? 3414 What is the next term in -9721, -21316, -32911? -44506 What is the next term in -46333, -185561, -417705, -742765, -1160741, -1671633, -2275441? -2972165 What is next in 17679599, 17679598, 17679597, 17679596, 17679595, 17679594? 17679593 What comes next: 3018, 11664, 26072, 46242, 72174, 103868, 141324? 184542 What is next in -654, -278, 138, 594, 1090, 1626, 2202? 2818 What is next in -16031025, -32062061, -48093097, -64124133? -80155169 What comes next: -83119, -82777, -82435? -82093 What comes next: 50812, 101727, 152642, 203557, 254472? 305387 What is the next term in 412835320, 412835330, 412835352, 412835392, 412835456? 412835550 What is next in 849, 6108, 20301, 47874, 93273, 160944, 255333, 380886? 542049 What is the next term in 37075, 148066, 333053, 592030, 924991, 1331930, 1812841, 2367718? 2996555 What is the next term in 5426158, 10852326, 16278494, 21704662, 27130830, 32556998? 37983166 What is the next term in -80670, -161366, -242086, -322830, -403598, -484390? -565206 What is next in 14961207, 59844843, 134650903, 239379387, 374030295? 538603627 What is next in 109893, 439626, 989183, 1758564, 2747769? 3956798 What is the next term in 4379779, 4379783, 4379787? 4379791 What is the next term in -1041890296, -2083780594, -3125670892, -4167561190, -5209451488? -6251341786 What is next in 17985, 147304, 498311, 1181850, 2308765, 3989900, 6336099? 9458206 What comes next: 346666, 346701, 346774, 346903, 347106, 347401, 347806, 348339? 349018 What comes next: 253, 1433, 3527, 6541, 10481, 15353? 21163 What is next in -4606354, -9212711, -13819068, -18425425, -23031782, -27638139? -32244496 What is the next term in 8436, 16872, 25308, 33744? 42180 What is the next term in 288, 417, 136, -555, -1656? -3167 What is next in 68988, 275902, 620750, 1103526, 1724224? 2482838 What is the next term in 1560705, 1560690, 1560675? 1560660 What is next in -118224, -118556, -119104, -119862, -120824, -121984, -123336, -124874? -126592 What is the next term in -15351, -30852, -46501, -62298, -78243? -94336 What is next in -93, -783, -2645, -6249, -12165? -20963 What is next in 291259, 582514, 873769, 1165024? 1456279 What is next in -271762, -1086858, -2445290, -4347052, -6792138, -9780542, -13312258, -17387280? -22005602 What is next in 2282317, 2282382, 2282447, 2282512? 2282577 What is the next term in -1145, -2558, -4617, -7646, -11969, -17910? -25793 What is the next term in 43336, 43382, 43420, 43450, 43472, 43486? 43492 What comes next: 1397808, 1397811, 1397814, 1397817, 1397820, 1397823? 1397826 What comes next: 9052, 18246, 27440, 36634? 45828 What comes next: 98213, 785715, 2651777, 6285677, 12276693, 21214103, 33687185, 50285217? 71597477 What is the next term in -15033, -15538, -16043, -16548, -17053? -17558 What is the next term in 264, -369, -1028, -1713? -2424 What is next in -18965, -75987, -171019, -304055, -475089? -684115 What is the next term in -72017, -143853, -215689, -287525, -359361, -431197? -503033 What is the next term in -2098, -2328, -2786, -3532, -4626? -6128 What comes next: 829, 1851, 3557, 5947, 9021, 12779? 17221 What is the next term in -512673728, -1025347455, -1538021182, -2050694909? -2563368636 What is next in -141774, -283619, -425550, -567573, -709694, -851919, -994254, -1136705? -1279278 What is next in 4335, 8575, 12509, 15981, 18835, 20915, 22065, 22129? 20951 What comes next: -70581, -141174, -211779, -282402, -353049? -423726 What is next in -682, -835, -924, -919, -790, -507, -40? 641 What comes next: -182440, -364241, -546040, -727837, -909632, -1091425, -1273216? -1455005 What comes next: -63833958, -127667915, -191501872, -255335829? -319169786 What is the next term in 465, 1761, 3047, 4323? 5589 What is the next term in -3028358, -3028357, -3028356? -3028355 What is the next term in 902, 4105, 9444, 16919, 26530? 38277 What comes next: -1851, -7523, -16961, -30153, -47087, -67751, -92133? -120221 What comes next: -181767983, -181767985, -181767987, -181767989? -181767991 What is next in 28890, 58786, 89686, 121584, 154474? 188350 What comes next: -67223, -134458, -201657, -268802, -335875? -402858 What is next in 16054, 32127, 48232, 64369, 80538, 96739, 112972? 129237 What is the next term in -25343, -101614, -228825, -406982, -636091, -916158, -1247189? -1629190 What is the next term in -2413418, -2413427, -2413440, -2413457, -2413478, -2413503, -2413532? -2413565 What comes next: 16471, 32880, 49293, 65710? 82131 What is the next term in 69488834, 69488829, 69488824? 69488819 What is next in 104333, 103857, 103381, 102905, 102429? 101953 What comes next: -682, -390, 384, 1880, 4338, 7998, 13100, 19884? 28590 What is next in 408739, 408709, 408657, 408583, 408487? 408369 What is the next term in -18914, -37934, -56958, -75986? -95018 What is next in -88604, -355504, -800330, -1423076, -2223736, -3202304? -4358774 What is the next term in -644155, -1288297, -1932435, -2576569, -3220699, -3864825, -4508947? -5153065 What comes next: 995, 1831, 2623, 3371? 4075 What is the next term in 725780059, 725780060, 725780061, 725780062, 725780063, 725780064? 725780065 What comes next: 17961, 36647, 55333, 74019? 92705 What comes next: 192854, 192684, 192514? 192344 What comes next: -5593, -9526, -13463, -17404, -21349? -25298 What is the next term in -1426, -3405, -5960, -9091, -12798? -17081 What is the next term in -1989, -15589, -52411, -124065, -242161, -418309, -664119, -991201? -1411165 What is the next term in 33925, 260630, 875989, 2074330, 4049981, 6997270, 11110525? 16584074 What is next in -1154626, -1154575, -1154490, -1154371, -1154218, -1154031, -1153810? -1153555 What is the next term in -14171, -58901, -133437, -237785, -371951, -535941? -729761 What comes next: 4109, 7257, 10431, 13643, 16905? 20229 What is next in 460, 2194, 6850, 15874, 30712, 52810, 83614? 124570 What is the next term in -527, -2035, -4541, -8027, -12475? -17867 What comes next: 554529, 1109356, 1664183, 2219010, 2773837, 3328664? 3883491 What is the next term in 8, 1613, 6420, 16031, 32048, 56073? 89708 What is next in -235603, -235330, -234879, -234250, -233443, -232458? -231295 What is next in 175139, 183633, 197789, 217607? 243087 What is the next term in 7865182, 15730369, 23595558, 31460749, 39325942? 47191137 What is the next term in -253972, -253487, -253002, -252517, -252032, -251547? -251062 What comes next: 169592, 1356709, 4578858, 10853555, 21198316, 36630657,
{ "pile_set_name": "DM Mathematics" }
of h. 2, 197 Suppose -7*s + 1343 = -421. List the prime factors of s. 2, 3, 7 Let h be -2*(-3 + (-22)/(-4)). What are the prime factors of h/(-20) - (3 + 974/(-8))? 7, 17 Let u be (2 - -1)/(30/20). Suppose 4 + 94 = u*x. List the prime factors of x. 7 Let l(m) = 6*m**2 + 4*m + 7. Let p = 41 + -38. List the prime factors of l(p). 73 Suppose r - 2*r - 3*t = -4, 0 = 4*r - 3*t - 16. Suppose -r*h = -5*h + 50. List the prime factors of h. 2, 5 Let c = -628 - -1512. What are the prime factors of (-1 - c/(-16)) + (-3)/12? 2, 3 Suppose -y + p + 613 = 0, 101*y - 2448 = 97*y + 5*p. List the prime factors of y. 617 Suppose u - 36*u + 42035 = 0. List the prime factors of u. 1201 Suppose 2*t + 4*p - 8*p = 216, p + 107 = t. List the prime factors of t. 2, 53 Let b = -81 - -671. What are the prime factors of b? 2, 5, 59 Let v be 1*(3/(-3) + 4). Let m(i) = 11*i**2 - i**v + 0*i**2 - 2*i**2 + i**2 + 2*i - 2. What are the prime factors of m(10)? 2, 3 What are the prime factors of (28630/(-40) + 1)/((-3)/8)? 2, 953 Let n = 10712 + -7559. What are the prime factors of n? 3, 1051 Let k = 12 + -22. Let r be 50/15*(-12)/k. Suppose -36 = r*g - 340. What are the prime factors of g? 2, 19 Suppose 23519 = 18*r - 3571. What are the prime factors of r? 5, 7, 43 Let o be 6*(-5)/4*4/(-6). What are the prime factors of (-4104)/(-26) - (o - 134/26)? 2, 79 Suppose -c - f + 143 = -3*f, -3*c = 4*f - 419. Suppose 6*b = 4*b, -v - 3*b = -c. List the prime factors of v. 3, 47 What are the prime factors of (-270)/40*112/(-12)? 3, 7 Suppose 5*n = -3*r - 8 + 1, 0 = 4*r - 3*n + 19. Let q be r - -5 - (-4 - -1). Suppose 288 = 4*h + 4*x, 5*x - 218 = -q*h + h. List the prime factors of h. 71 Let b(h) = -h. Let d be b(6). Let z = d + -2. What are the prime factors of (-150)/z - 4/(-16)? 19 Suppose -4*u - 3*z + 9659 = 2*z, 0 = -12*z - 12. List the prime factors of u. 2, 151 Let l(h) = -5*h**3 - h. Let q be l(-1). Suppose -q*s = -s. Suppose s = -0*x + 5*x - 75. List the prime factors of x. 3, 5 Suppose 5*b - 74 = 26. Let u = b + -16. Suppose 0 = -u*y + 10 + 10. List the prime factors of y. 5 Let p = -874 - -1786. List the prime factors of p. 2, 3, 19 Suppose 0 = 5*u, 4*u - 360 = -4*o + o. What are the prime factors of o? 2, 3, 5 Let c(k) be the third derivative of k**5/20 - 7*k**4/24 - k**3 + k**2. List the prime factors of c(-4). 2, 5, 7 Suppose -4*i + 3718 = -3*n, 3*i = -11*n + 10*n + 2782. What are the prime factors of i? 2, 29 Suppose 21*g - 20*g + 19 = 0. What are the prime factors of 1750/8 - g/76? 3, 73 Let c(v) = v**3 - 5*v**2 - 3*v - 13. Let l be c(6). Suppose -3*u = -2*t - 173, u - 240 = -3*u + l*t. What are the prime factors of u? 5, 11 Let o(x) = 897*x**2 + 4*x - 2. List the prime factors of o(1). 29, 31 What are the prime factors of (-24)/168 - (-2550)/14? 2, 7, 13 Let b be (-36)/24*(-1 - 10/6). Suppose -166 = -b*c + 246. List the prime factors of c. 103 Let t(f) = 13*f - 30. Let q(a) = -a**2 + 11*a - 14. Let s be q(8). What are the prime factors of t(s)? 2, 5 Let w(r) = -3*r + 2. Let x be w(-6). Let i = x - -4. Let c = 38 - i. List the prime factors of c. 2, 7 Let m(r) = r**2 - 14*r - 34. Let o be m(16). List the prime factors of (14*15/(-20))/(o/24). 2, 3, 7 Suppose 0 = -2*o + 11 + 53. Suppose 3*h = o - 11. List the prime factors of h. 7 Let h(g) = -g**3 + 6*g**2 - 3*g - 6. Suppose 0 = 2*n - 1 + 5, 3 = l + n. Suppose 0*d + 3*m = -3*d + 9, -l*m = -3*d + 17. List the prime factors of h(d). 2, 7 Let j(v) = v**3 + 8*v**2 - 10*v - 11. Let i be j(-9). Let x be (i + -6)*105/20. Let s = -15 - x. List the prime factors of s. 3 Suppose -2*w - 4*u + 8 = 0, -5*u + 4 = -3*w - 28. List the prime factors of (-48)/36*66/w. 2, 11 Let t(n) = -64 + 33 - 13*n + 32 - 68*n. List the prime factors of t(-1). 2, 41 Let r be 2/(-19) + (-80)/(-38). What are the prime factors of -3 - (7 + -10)*44/r? 3, 7 Let n be 57/12 + (-6)/(-24). Suppose 2*x = n*x. Suppose 5*h - 100 = l, x = -4*h - 3*l + 32 + 67. What are the prime factors of h? 3, 7 Suppose -5*o + 5663 = -2*j, 3*j = -4*o + o + 3381. What are the prime factors of o? 3, 13, 29 Let u(l) = 3*l - 12. Let k be u(14). Let x = 6 + -4. Suppose -x*w - k = -4*w. List the prime factors of w. 3, 5 Let h(f) = 64*f**2 - 1. Let m be h(-1). Suppose -m = -4*y - 7. List the prime factors of y. 2, 7 Suppose 5*i - 5*m - 30 = 0, i = 2*m - 5*m - 2. Suppose -i*v = -6*v + 114. What are the prime factors of v? 3, 19 Let o(k) = 6*k + 25. Let x be o(-3). Suppose x*p - 785 = 314. What are the prime factors of p? 157 Let k(r) = -r. Let m be k(4). List the prime factors of -1 - m - (-179 + 0 - -3). 179 Let j(v) = -12*v + 3. What are the prime factors of j(-28)? 3, 113 Let j be 5/(-2)*24/12. Let f(g) = -g - 1. Let i(v) = v**3 + 6*v**2 + 4*v + 3. Let y(p) = 3*f(p) + i(p). What are the prime factors of y(j)? 2, 5 Let y = 35 + -20. What are the prime factors of -5*((-261)/y - -2)? 7, 11 Let t = -52 + 62. Suppose t*w + 428 = 1878. List the prime factors of w. 5, 29 Let f(w) be the third derivative of -w**6/60 + 19*w**5/60 - 7*w**4/24 + 13*w**3/6 + 18*w**2. What are the prime factors of f(8)? 149 Let b(t) = -363*t + 248. List the prime factors of b(-5). 2063 Suppose -4*t + 3 = -9. Suppose -68 = -3*q + 3*z + 265, t*z - 247 = -2*q. Let x = q - 62. What are the prime factors of x? 2, 3 Suppose -2*y - 5*g + 9 = 0, 7*g = -4*y + 6*g + 63. What are the prime factors of y? 17 Suppose 2*v - 551 + 36 = -3*o, -692 = -4*o - 4*v. Let w = 118 - o. Let h = w + 86. List the prime factors of h. 5, 7 Let x(k) = -7 + 5*k**2 + 13 + 4*k - 8. What are the prime factors of x(6)? 2, 101 Let y be 78/8 + (-4)/(1*-16). Let q(l) = -l**2 + 24*l - 24. What are the prime factors of q(y)? 2, 29 Suppose 0 = -15*o + 5628 + 10722. What are the prime factors of o? 2, 5, 109 Let f = -116 + 134. Let t = 293 - f. List the prime factors of t. 5, 11 Let h(l) = l**3 - l**2 - 4*l + 4. Let s be h(2). Suppose 4*i = 3*y - 189, -5*i + 63 = y - s*i. List the prime factors of y. 3, 7 Let u be -2*(-2)/(8/10). Let m be (-233)/(-8) - (-1)/(-8). Let o = u + m. List the prime factors of o. 2, 17 Suppose i = 2*i - 20. Let m = i + -1. Suppose -j + 27 = v, 0*v = j - v - m. What are the prime factors of j? 23 Suppose 0 = 3*f - u - 16, -21 = -5*f + 4*u + 8. Let d = f + -5. Suppose 4*s - 7*s + 78 = d. What are the prime factors of s? 2, 13 Let i(y) = -y**3 + 11*y**2 + 8*y + 4. Let u(b) = 2*b**3 - 9*b**2 - 3*b. Let s be u(5). What are the prime factors of i(s)? 2, 23 Let q = -55 + 59. What are the prime factors of (50 + -20)/(q/18)? 3, 5 Let f be (1*(-54)/(-21))/(12/56). Let k = 198 - f. List the prime factors of k. 2, 3, 31 What are the prime factors of (737 - 2)*((-48)/(-10) + -4)? 2, 3, 7 Let r(n) = n + 115. Let z be r(0). Suppose 2*c - z = -17. What are the prime factors of ((-42)/c)/((-1)/14)? 2, 3 Let l = -2614 - -3888. List the prime factors of l. 2, 7, 13 Let q(i) = 9*i**2 + 4*i - 7. What are the prime factors of q(6)? 11, 31 Suppose -1 = -k + 3*j - 0*j, -5*j = 4*k + 30. Let u = -55 - k. List the prime factors of ((-120)/u)/((-1)/(-5)). 2, 3 Suppose -3*b + 10*b + 16065 = 0. List the prime factors of 2*(b/(-10))/9. 3, 17 List the prime factors of 6772/6 - ((-578)/51 + 12). 2, 3, 47 Let d(m) = 11*m**2 + 9*m - 5. Let u(x) = 5*x**2 + 4*x - 3. Let p(s) = -2*d(s) + 5*u(s). List the prime factors of p(2). 11 Let c(z) be the third derivative of z**4/12 - 2*z**3/3 - 10*z**2. What are the prime factors of c(9)? 2, 7 Let y(k) = -k**3 - 5*k**2 + 6*k - 52. What are the prime factors of y(-10)? 2, 97 Let m(g) = 7*g**2 + 4 + 9*g**3 - 12 - 18*g**3 + 3*g + 10*g**3. What are the prime factors of m(-5)? 3 Suppose 2 = 2*q + 2*r - 0, 0 = 4*r - 12. Let n(k) = k**2 + 4*k - 6. Let g be n(-5). List the prime factors of 4*(q - 9)/g. 2, 11 Let m(l) be the first derivative of l**3 + 2*l**2 + 11*l - 3. List the prime factors of m(-6). 5, 19 List the prime factors of -36*-147*(-4 + (-14)/(-3)). 2, 3, 7 Let p = -27 + 32. Suppose p*c - 1 = -w - 0, -51 = -5*w - 2*c. What are the prime factors of w? 11 What are the prime factors of (194/291)/(81408/(-40707) - -2)? 4523 Let k be 22/(-6) - ((-176)/(-24) + -7). List the prime factors of 1/((-2)/(-1)) - 446/k. 2, 7 Suppose 0*x = x - 5*t - 17, 0 = -5*x - t + 7. Suppose x*o - 34 = o. What are the prime factors of o? 2, 17 Suppo
{ "pile_set_name": "DM Mathematics" }
1 Solve 158*h - 5224 = 617*h - 634 for h. -10 Solve -5460*h - 760190 = -214190 for h. -100 Solve -1645 + 7927 + 672 = 772*v - 4626 for v. 15 Solve 53958*s - 53965*s - 51 - 355 = 0 for s. -58 Solve -375*v - 95 = -409*v + 7 for v. 3 Solve -4444 = -68*v - 7300 for v. -42 Solve 114775 - 21312 = 5963*x - 31760 for x. 21 Solve 85*k = -19*k - 282*k + 52362 - 16078 for k. 94 Solve 1449*p + 56000 = 280*p - 17482 + 9187 for p. -55 Solve -46178 + 44252 = 321*i for i. -6 Solve 14*i = 81*i + 22*i + 890 for i. -10 Solve l = -61*l - 689 - 1419 for l. -34 Solve -47 - 301 = -89*f + 21*f + 128 for f. 7 Solve -20631 = 498*l - 2703 for l. -36 Solve -189 + 2968 = -132*w - 3293 for w. -46 Solve 3204*x - 1636*x - 1598*x = -240 for x. 8 Solve -130*w = 70*w + 59*w - 4662 for w. 18 Solve 9295 - 3087 = 2*n + 3104 + 3058 for n. 23 Solve -462*h = 674*h - 255*h - 19382 for h. 22 Solve 445960 = -11148*p - 245216 for p. -62 Solve -12*k = -741556 + 740968 for k. 49 Solve -368*b + 678*b + 1134 = 343*b - 549 for b. 51 Solve 27*h + 208*h + 10276 = -132*h for h. -28 Solve -209*x + 41*x + 5049 = -15*x for x. 33 Solve 7013 = 1842*o + 5045 - 12768 for o. 8 Solve 156489*o - 1027 = 156568*o for o. -13 Solve 7139*j + 29219 = 5824*j + 126529 for j. 74 Solve 52*m = -56*m - 38*m - 14834 + 10308 for m. -31 Solve -10356*q - 51893 - 149197 = 617034 for q. -79 Solve 3*f - 13*f + 866 = 11*f + 26 for f. 40 Solve 3519*i - 1633*i = 88642 for i. 47 Solve -73792 - 60502 = 2180*c - 175072 - 192482 for c. 107 Solve 0 = -133734*f + 131594*f - 196880 for f. -92 Solve 46*x - 15*x + 2630 = -320*x - 25450 for x. -80 Solve 1211*r + 1736*r = -1242*r - 44937 + 137095 for r. 22 Solve -25181 = 1721*p + 4877*p + 34201 for p. -9 Solve 189916 = -5428*z - 229633 + 4524 - 268903 for z. -126 Solve 0 = 214*h - 518*h - 12160 for h. -40 Solve 13622 + 2257 = -756*v + 3783 for v. -16 Solve -13*g + 1593 = -111*g + 3277 + 4098 for g. 59 Solve 1471*y = -1995 + 3606 + 2802 for y. 3 Solve -37*o + 2735 - 2656 = 42*o for o. 1 Solve -40829 - 30510 = 1269*k + 35257 for k. -84 Solve 0 = -1986*u + 127679 + 9355 for u. 69 Solve -94*b + 1005*b + 1181*b = -2324*b - 238464 for b. -54 Solve 0 = -10144687*f + 10144958*f for f. 0 Solve 70*q - 39 - 19 - 12 = 0 for q. 1 Solve -111*a - 151*a = 252*a - 23*a + 35843 for a. -73 Solve 212*u - 22 = -4686 for u. -22 Solve 1456*n + 21016 = -51784 for n. -50 Solve 25*y = 210*y - 3109 - 2071 for y. 28 Solve 131 = 15*r + 65 - 248 - 76 for r. 26 Solve -120*o = 126801 - 131481 for o. 39 Solve 155*n - 77 + 1013 = -459 for n. -9 Solve -6291 = -23*b - 125*b - 91*b + 10678 for b. 71 Solve -9875*s + 15065*s = -415200 for s. -80 Solve -10659*o + 5363*o = -5335*o - 156 for o. -4 Solve 421782*f = 421321*f + 16135 for f. 35 Solve -321*w - 7479 = 430*w - 269*w + 13729 for w. -44 Solve -97616 = -34*h - 99248 for h. -48 Solve 5190 = 142*z - 11011 - 1833 for z. 127 Solve 4412*t + 144 + 2236 = 4246*t - 940 for t. -20 Solve 242*h - 1777 - 165 = 57*h - 277 for h. 9 Solve 712*h - 1122 = 679*h for h. 34 Solve -9017*l - 9005*l = -18293*l - 32791 for l. -121 Solve -3280 = 62*u + 75*u - 1664 + 3727 for u. -39 Solve 988*n - 88314 - 65228 + 12830 = -728*n for n. 82 Solve -102*j = 9228420 - 9218322 for j. -99 Solve -144*q = -11*q + 53*q - 29*q + 8007 for q. -51 Solve 12*j - 3524 + 4800 = 40*j + 16*j for j. 29 Solve 1648*l + 26710 - 3076 + 22510 = 0 for l. -28 Solve -11064 - 62874 - 37638 = -4649*t for t. 24 Solve -217*y = 213*y + 208*y - 646*y - 232 for y. -29 Solve -2715 = -51*z - 7774 - 1780 + 362 for z. -127 Solve 12567*w - 7584 = 11935*w for w. 12 Solve -167*f + 447*f = -1425*f + 209*f + 32912 for f. 22 Solve -16779*w = -16910*w - 7467 for w. -57 Solve 329*a - 567*a + 217*a - 291 = 465 for a. -36 Solve -3951*w + 183871 = -5777 for w. 48 Solve -11070 + 5312 - 9070 = 674*a for a. -22 Solve 453*v - 230*v + 6467 = 0 for v. -29 Solve 97*p + 21518 = -183*p - 80*p - 11*p for p. -58 Solve 0 = -4179*o - 251195 + 54782 for o. -47 Solve -173*z = -41*z - 267*z + 14040 for z. 104 Solve -2983*n = -1965*n + 2509*n + 1304*n - 280198 for n. 58 Solve 486*o + 11677 + 9845 = 6942 for o. -30 Solve -12028 - 15830 = -1335*t + 15519 + 2013 for t. 34 Solve -223*w - 237*w = -362*w - 2340 + 8220 for w. -60 Solve -3278*r + 5802 + 99094 = 0 for r. 32 Solve -50*m + 151*m - 1807*m = -192778 for m. 113 Solve 0 = -1102*u + 753*u - 13262 for u. -38 Solve 463*u + 132*u - 16734 - 11826 = 0 for u. 48 Solve 49*s = 497 - 941 - 1173 for s. -33 Solve -8044 = 1033*f + 19847 for f. -27 Solve 85*c - 158641 - 153905 + 306256 = 0 for c. 74 Solve 59 + 689 = -188*o - 504*o + 56 for o. -1 Solve 4670*v - 268964 + 206687 - 292643 = 0 for v. 76 Solve 335*j - 86*j = -286*j + 53*j - 17834 for j. -37 Solve 1559*n - 4101*n - 865 = 10162*n + 100767 for n. -8 Solve -272*x + 142*x - 303*x - 7361 = 0 for x. -17 Solve -16*f + 13737 = 10*f + 215*f for f. 57 Solve 170*x + 2945 - 2561 = 8714 for x. 49 Solve 215*g - 3750*g + 47040 + 5451 + 32349 = 0 for g. 24 Solve 1695*n - 5339 = 878*n - 1144*n + 84867 for n. 46 Solve -61307 - 48107 = 1751*n - 13109 for n. -55 Solve 49964*p - 49910*p - 162 = 0 for p. 3 Solve 817*v - 37536 = 82*v - 81*v for v. 46 Solve 176*b - 30785 = -479*b for b. 47 Solve -77*o - 329*o + 24803 - 27645 = 0 for o. -7 Solve -548*u + 491744 = 548188 for u. -103 Solve 84*c - 70993 = -9*c - 79735 for c. -94 Solve -148*t + 201*t = -170*t - 1338 for t. -6 Solve 119443*a = 119025*a - 8778 for a. -21 Solve 0 = 1294*v - 3757*v - 2938*v - 221441 for v. -41 Solve -48*d + 139*d + 149*d + 12351 = -4929 for d. -72 Solve 74*t - 127*t = 125*t + 48*t + 8362 for t. -37 Solve -44*c - 15498 = 604*c - 123*c - 147*c for c. -41 Solve 379*f = -178*f + 28284 - 8409 + 12431 for f. 58 Solve -73151 - 161653 = -1815*q - 1386*q - 1403*q for q. 51 Solve -670*h = -202*h + 300*h + 388*h + 4624 for h. -4 Solve -981*z - 102942 = 13797 for z. -119 Solve 27558*a - 6961*a = -61791 for a. -3 Solve 1596 + 1758 - 1599 = -39*a for a. -45 Solve 0 = -541*g + 2104*g - 4689 for g. 3 Solve 577*x = -16090 - 28224 + 12002 for x. -56 Solve 503*n = -486*n - 323*n + 20992 for n. 16 Solve 4597111*z = 4597090*z + 882 for z. 42 Solve -8880 = 66*r + 15*r + 39*r for r. -74 Solve 11168 = 189*c - 64*c + 109*c - 7552 for c. 80 Solve 7999 + 22979 = 131*z + 2656*z + 3108 for z. 10 Solve 908*i + 2873 + 94151 = -1066*i - 17468 for i. -58 Solve -128*p + 177 = -768 - 1871 for p. 22 Solve -902*d + 910*d + 344 = 0 for d. -43 Solve 995*o + 15074 = -244*o + 89414 for o. 60 Solve 27*a - 132*a = 102 - 312 for a. 2 Solve 6458*m + 11024 + 66472 = 0 for m. -12 Solve -5800*n - 1955*n - 387750 = 0 for n. -50 Solve 64*d + 590 = 169*d - 1930 for d. 24 Solve 0 = 823*b - 480*b + 12005 for b. -35 Solve 142*j = 587*j + 744*j + 72529 for j. -61 Solve 41*v + 1196 = 7*v - 874 + 302 for v. -52 Solve -43*h + 1080*h + 7692 - 36917 = 12255 for h. 40 Solve 68*x - 223*x = -54*x - 2424 for x. 24 Solve 73*h = -30*h - 91*h + 2834 + 10746 for h. 70 Solve 1316*u + 23184 = 488*u for u. -28 Solve -8*n = 764407 - 764575 for n. 21 Solve 0 = 2366*f - 1235*f - 49764 for f. 44 Solve -221524*a + 222002*a + 46366 = 0 for a. -97 Solve -402*x = -4686 - 7537 + 1771 for x. 26 Solve 313*j - 12738 = 185*j + 321*j for j. -66 Solve 282*p = -343*p + 413*p - 2120 for p. -10 Solve 262482*b - 653 = 262203*b + 4927 for b. 20 Solve -190682 - 658532 = -9717*a + 45427 - 677 for a. 92 Solve -1305*o - 6300*o + 764*o - 20242 - 246557 = 0 for o. -39 Solve -47*x = -104*x - 14*x + 156*x - 6460 for x. 76 Solve 1566*k + 50456 + 27844 = 0 for k. -50 Solve 38*r + 3782139 = 3783849 for r. 45 Solve 109*l = 14*l - 32*l - 577 - 10345 for l. -86 Solve 1146*c - 3118*c - 118875 = 19165 for c. -70 Solve -2*y + 243 = -71*y + 91*y + 59*y for y. 3 Solve 1567*d - 9776 = 205*d + 22912 for d. 24 Solve 121*n + 6630 = -30*n + 1194 for n. -36 Solve 2610 + 764 = -241*k for k. -14 Solve 87*g - 1646378 + 1639853 = 0 for g. 75 Solve 5796*t - 1725568 = 4257*t - 11942*t for t. 128 Solve 26*u - 38650 + 39900 = u for u. -50 Solve -20825 + 20363 = 66*u for u. -7 Solve -4120 - 1376 = -229*s for s. 24 Solve 0 = -7619*f + 131907 + 53345 + 645219 for f. 109 Solve 40*v = 513 - 1473 for v. -24 Solve 0 = 498*i + 2326 + 3650 for i. -12 Solve -358*p - 396 = -337*p + 171 for p. -27 Solve 2*g + 25703 - 25771 = 0 for g. 34 Solve 84
{ "pile_set_name": "DM Mathematics" }
next: -617, -611, -591, -551, -485, -387, -251? -71 What is next in -335, -2667, -8997, -21323, -41643, -71955, -114257? -170547 What is next in 193, 392, 591? 790 What comes next: 110, 221, 330, 437, 542, 645, 746? 845 What comes next: -1, 16, 47, 98, 175? 284 What is the next term in -116, -219, -324, -431, -540? -651 What comes next: -420, -838, -1256, -1674, -2092? -2510 What is the next term in -22, -49, -90, -145, -214, -297? -394 What is the next term in 52, 57, 64, 73? 84 What is next in 40, 21, -8, -53, -120, -215, -344, -513? -728 What is next in -112, -220, -328, -436? -544 What comes next: 523, 1047, 1571? 2095 What is the next term in -526, -993, -1460, -1927, -2394, -2861? -3328 What comes next: -7, -3, 9, 29, 57? 93 What is the next term in 151, 150, 149, 148, 147? 146 What comes next: -130, -99, -42, 47, 174, 345, 566, 843? 1182 What is the next term in 46, 105, 184, 289, 426? 601 What is the next term in 3009, 3010, 3011? 3012 What comes next: -398, -816, -1230, -1640? -2046 What is the next term in 19, 30, 19, -26, -117, -266, -485, -786? -1181 What is next in 15, 13, 11, 9, 7, 5? 3 What is next in -4069, -4067, -4065, -4063, -4061? -4059 What comes next: -125, -126, -127, -128, -129, -130? -131 What is next in 13, 44, 133, 310, 605, 1048? 1669 What comes next: 6, 40, 74? 108 What is next in -132, -141, -156, -177, -204? -237 What is next in -56, -66, -90, -134, -204? -306 What is the next term in -126, -128, -130, -132, -134? -136 What is the next term in -444, -440, -434, -426, -416, -404? -390 What comes next: -26, -91, -194, -329, -490, -671? -866 What is the next term in -1936, -1939, -1942, -1945, -1948? -1951 What is the next term in -5489, -5491, -5493? -5495 What is next in 420, 424, 430, 438? 448 What is next in 45, 91, 139, 189, 241, 295, 351? 409 What is the next term in 227, 455, 681, 905, 1127? 1347 What is the next term in -110, -88, -56, -8, 62, 160? 292 What is next in -40, -12, 56, 170, 336, 560? 848 What is next in 19, 58, 87, 100, 91? 54 What is the next term in 114, 234, 358, 486, 618? 754 What is next in -2147, -4306, -6465, -8624? -10783 What is next in 27, 46, 83, 144, 235, 362, 531, 748? 1019 What is next in 18, 34, 40, 30, -2, -62, -156? -290 What is the next term in 32, 30, 24, 14, 0, -18? -40 What is the next term in 268, 532, 796? 1060 What is next in 7, 4, -3, -14, -29, -48, -71? -98 What comes next: 89, 97, 105? 113 What comes next: -5, 10, 27, 46? 67 What comes next: -89, -91, -105, -137, -193, -279, -401, -565? -777 What is the next term in -1, 31, 93, 191, 331, 519, 761? 1063 What is next in -9, -22, -43, -72, -109? -154 What is next in 1707, 1727, 1783, 1893, 2075, 2347, 2727? 3233 What comes next: -19, -41, -63? -85 What is the next term in 205, 360, 521, 694, 885, 1100, 1345? 1626 What is next in -34, 60, 224, 464, 786, 1196? 1700 What is the next term in 15, 35, 55, 75, 95, 115? 135 What is next in -4, 15, 48, 95? 156 What is the next term in -380, -375, -368, -359? -348 What is the next term in 173, 351, 531, 713, 897, 1083, 1271? 1461 What is next in -13, 15, 103, 281, 579, 1027, 1655? 2493 What is next in -93, -113, -135, -159, -185? -213 What is the next term in -15815, -15813, -15811, -15809, -15807, -15805? -15803 What is the next term in -74, -99, -148, -227, -342, -499? -704 What is next in -32, -40, -60, -98, -160, -252, -380, -550? -768 What is next in 43, 60, 77, 94, 111, 128? 145 What comes next: 44, 26, 6, -16, -40? -66 What is next in 225, 895, 2011, 3573, 5581, 8035, 10935? 14281 What comes next: -81, -334, -755, -1344, -2101? -3026 What comes next: 0, 16, 48, 102, 184, 300, 456? 658 What comes next: 150, 300, 450, 600, 750, 900? 1050 What is next in -418, -421, -424? -427 What comes next: 3372, 6747, 10122, 13497? 16872 What is next in -73, -78, -81, -82, -81, -78, -73? -66 What comes next: 3, 10, 27, 60, 115, 198, 315? 472 What is the next term in -7, -16, -35, -70, -127, -212, -331, -490? -695 What is next in 1395, 1386, 1377, 1368? 1359 What is the next term in 35, 124, 269, 470, 727? 1040 What is next in 43, 85, 127, 169? 211 What is next in 13, 18, 27, 40, 57? 78 What is next in 2811, 5623, 8433, 11241, 14047, 16851? 19653 What is next in 6, 81, 280, 663, 1290, 2221? 3516 What is the next term in -248, -498, -748? -998 What is the next term in 1542, 1540, 1538, 1536? 1534 What is the next term in -41, -182, -439, -830, -1373, -2086, -2987? -4094 What is the next term in 88, 98, 110, 124, 140, 158, 178? 200 What is the next term in 11, 12, 3, -22, -69, -144? -253 What is next in 7, 56, 199, 484, 959, 1672, 2671, 4004? 5719 What is the next term in 260, 254, 248, 242, 236, 230? 224 What is next in -44, -38, -28, -14, 4, 26? 52 What is next in -46, -29, -12, 5, 22, 39? 56 What is next in -30, -63, -96? -129 What is the next term in -1, -18, -35, -52, -69? -86 What is the next term in 389, 385, 369, 335, 277, 189, 65? -101 What comes next: -36177, -36173, -36167, -36159, -36149, -36137? -36123 What is next in 23, 2, -37, -94, -169, -262? -373 What is next in -935, -3750, -8441, -15008, -23451, -33770? -45965 What is the next term in -5722, -5720, -5718, -5716? -5714 What is the next term in -7836, -7841, -7848, -7857, -7868, -7881, -7896? -7913 What comes next: -6, -41, -92, -147, -194, -221, -216? -167 What comes next: 16848, 16849, 16850? 16851 What comes next: -9, 8, 57, 156, 323, 576, 933? 1412 What comes next: -28, -111, -238, -403, -600, -823, -1066, -1323? -1588 What is next in 1016, 1018, 1022, 1028? 1036 What comes next: 598, 1202, 1806, 2410? 3014 What comes next: 8, 32, 64, 98, 128, 148, 152, 134? 88 What comes next: 143, 147, 151, 155, 159, 163? 167 What is next in 1648, 3298, 4948? 6598 What comes next: 406, 845, 1298, 1771, 2270, 2801, 3370? 3983 What is next in 6, 5, 4, 3, 2, 1? 0 What comes next: -384, -769, -1154, -1539, -1924, -2309? -2694 What is the next term in 156, 186, 228, 288, 372, 486? 636 What comes next: -113, -212, -311, -410, -509, -608? -707 What is next in -71, -330, -761, -1364? -2139 What comes next: 40, 33, 26? 19 What comes next: -67, -63, -49, -19, 33, 113, 227? 381 What comes next: -8, -112, -394, -944, -1852, -3208? -5102 What is the next term in 32, 61, 88, 113, 136, 157, 176? 193 What comes next: -546, -551, -542, -513, -458? -371 What comes next: -222, -223, -204, -153, -58, 93, 312, 611? 1002 What is next in 52, 86, 120, 154, 188, 222? 256 What is next in -88, -86, -84, -82, -80, -78? -76 What is the next term in -327, -676, -1025, -1374, -1723, -2072? -2421 What comes next: 3, 59, 211, 507, 995? 1723 What comes next: 6, 8, 20, 48, 98, 176? 288 What is next in -300, -280, -260, -240? -220 What is the next term in -5, -8, -13, -20, -29, -40? -53 What is next in -42, -77, -112, -147, -182? -217 What is the next term in -11, -29, -65, -125, -215, -341? -509 What is the next term in 9, 2, -27, -84, -175, -306? -483 What comes next: 12, 64, 158, 300, 496, 752, 1074, 1468? 1940 What is the next term in 25, 39, 61, 91, 129, 175, 229? 291 What comes next: -290, -301, -326, -371, -442, -545? -686 What comes next: 12, 9, 6? 3 What comes next: 767, 766, 765, 764, 763? 762 What is the next term in 72, 143, 212, 279, 344? 407 What is next in -8695, -17391, -26087, -34783, -43479? -52175 What is the next term in -1, 1, 3? 5 What comes next: 339, 341, 343, 345, 347? 349 What is next in -142, -151, -162, -175, -190? -207 What is the next term in 56, 87, 116, 143? 168 What is the next term in -36, -39, -42, -45, -48, -51? -54 What is the next term in -264, -1143, -2608, -4659, -7296, -10519, -14328? -18723 What is the next term in 343, 690, 1041, 1396, 1755? 2118 What comes next: 31, 42, 65, 106, 171, 266, 397? 570 What comes next: 23, 38, 39, 20, -25? -102 What comes next: -1919, -3839, -5759? -7679 What is next in -93, -85, -63, -21, 47? 147 What is next in 449, 443, 427, 395, 341, 259, 143, -13? -215 What is next in -38, -87, -136, -185, -234, -283? -332 What is the next term in 76, 253, 520, 871, 1300? 1801 What is the next term in 90, 96, 112, 144, 198, 280, 396, 552? 754 What comes next: 21, 24, 27? 30 What is next in 20, -8, -86, -238, -488, -860, -1378, -2066? -2948 What is the next term in -15, -107, -341, -783, -1499? -2555 What i
{ "pile_set_name": "DM Mathematics" }
, -1/10, -3? -2/21 What is the nearest to 0.5 in 1/2, -19, 0.2? 1/2 What is the nearest to -2 in 1/5, -1/2, 0.5, 3? -1/2 Which is the closest to -1/3? (a) -4 (b) 3 (c) 0 c What is the closest to -9/4 in 1/3, 0.2, 0.4, -2/3? -2/3 Which is the closest to -4? (a) -2/5 (b) 1/4 (c) 2 (d) -20 a What is the nearest to 1 in -5/4, -1/2, -0.1, -2/5? -0.1 Which is the closest to 885? (a) -1 (b) 3 (c) 0 b What is the closest to 0.1 in 0.4, 3/2, -360? 0.4 What is the nearest to -2 in 2/13, -1/2, -0.24, -3? -3 Which is the closest to 0.04? (a) -2/149 (b) 4 (c) -0.4 (d) -0.1 a Which is the nearest to -0.02? (a) -2 (b) 0.27 (c) 0.3 b Which is the nearest to -2/7? (a) -0.4 (b) 297 (c) -5 a Which is the nearest to -0.3? (a) -2/11 (b) 2/3 (c) -0.1 a What is the nearest to 155 in -0.5, 2/5, 0.2, -0.1? 2/5 What is the closest to -2 in -2/7, 4, -10/7? -10/7 Which is the closest to -0.3? (a) -0.3 (b) -1 (c) -0.2 (d) 0.5 a What is the closest to -1/2 in -7, 0.4, 2/3, 7? 0.4 What is the closest to -101.6 in 3/8, 3, 0? 0 What is the closest to -271 in 4, -1/3, 0.5, -3? -3 What is the nearest to -1 in -2/7, 1, 3, -6? -2/7 Which is the nearest to 2/17? (a) 0.4 (b) 1 (c) 0.02 (d) 3 c Which is the nearest to 2/15? (a) 0 (b) 2 (c) 1/3 a What is the nearest to -0.1 in -5, 4, 1/5, 0.1? 0.1 Which is the nearest to 3? (a) 0.9 (b) 5 (c) -91 b Which is the closest to 0.1? (a) 2 (b) 1/3 (c) -2 (d) 3 b What is the nearest to -1 in 14, 0.14, -2/11, 0? -2/11 What is the closest to -0.3 in 4, 2/423, -4? 2/423 Which is the closest to 2? (a) 11 (b) 5 (c) 2 c Which is the closest to 3? (a) -3/26 (b) -4/3 (c) -5 a What is the closest to 4 in -5, 37, -4? -4 Which is the nearest to -0.02? (a) -3 (b) -9 (c) 0 (d) 0.03 c What is the closest to -0.1 in 2, 7, -0.08, 0.1? -0.08 Which is the nearest to -1? (a) 0.4 (b) -0.3 (c) 0.079 b Which is the closest to 2/3? (a) -1/8 (b) 441 (c) -1 (d) 0.4 d Which is the nearest to 1? (a) 3/8 (b) -0.06 (c) 5/8 c What is the nearest to 11 in -4, -0.1, -3? -0.1 What is the closest to 1 in -4/5, -1, -431, 0.3? 0.3 Which is the nearest to 1/3? (a) -0.02 (b) -0.5 (c) -5 a What is the nearest to -0.211 in -2/3, 0.02, 0.3, -1/8? -1/8 What is the nearest to 1 in -1/4, -2/263, -6, -0.1? -2/263 Which is the nearest to 4? (a) -1.1 (b) -4 (c) 0.5 c What is the closest to 1 in 30/7, -2/9, 5? -2/9 What is the nearest to 2/9 in -49, 5, 1/9? 1/9 Which is the closest to 2/5? (a) 4 (b) 0.1 (c) 6 (d) -1 b What is the nearest to 0 in 148/7, -2/19, -15? -2/19 What is the closest to 4/7 in 2, 2/19, -3/4, -0.5? 2/19 What is the closest to 3/8 in 12, -0.5, -0.1? -0.1 Which is the nearest to -0.3? (a) 0.4 (b) 16/3 (c) 5 a What is the nearest to 2 in 2/5, -2, -4, 134? 2/5 Which is the closest to -0.2? (a) -44 (b) -4 (c) -0.09 c Which is the closest to 0? (a) -1 (b) 4 (c) 2 (d) 31 a What is the closest to 1/11 in -2/9, 8/3, 10? -2/9 What is the nearest to -2/9 in -2/3, -3, -2/7, 5? -2/7 What is the closest to 0.2 in -1/5, 1/2, 0.4? 0.4 What is the closest to 41 in 3, 2, 29? 29 What is the nearest to -0.1 in -1/6, 1/7, 0.2, 6? -1/6 What is the closest to -2/5 in -4/3, -84, -2/7, -1/5? -2/7 What is the nearest to 0.1 in 1/30, 0, 9? 1/30 Which is the nearest to 1? (a) 5/4 (b) -1/5 (c) 20/3 (d) 1/9 a What is the closest to -0.8 in -2, -5, 1/28, -0.1? -0.1 What is the nearest to -1 in 8, -1/7, -2/9, 4? -2/9 Which is the closest to 1? (a) 3 (b) -2 (c) 2 (d) -30.6 c What is the closest to 0 in 0, -2/5, -0.022? 0 What is the closest to -28 in -3, 2, 5, -0.01? -3 Which is the closest to 0.02? (a) 5 (b) 1/12 (c) -3 (d) 4/7 b What is the closest to 0 in 4, 0.2, 0.4, 5? 0.2 What is the nearest to 0 in 31, 1, -3/7, -0.2? -0.2 What is the nearest to -3 in -0.2, 0.5, 46, -1? -1 Which is the nearest to -0.1? (a) -4 (b) -1/7 (c) 2/9 (d) -1/2 b Which is the nearest to -12? (a) -5 (b) -1 (c) 2/11 a What is the closest to 0 in -0.5, -0.1, -8, -0.3? -0.1 Which is the closest to -2/3? (a) -0.3 (b) 0.5 (c) 2/3 a Which is the closest to -1? (a) -2/9 (b) -3 (c) 2/609 (d) -0.2 a What is the nearest to 6 in 3, 0.06, 2/9, 2? 3 What is the nearest to -1 in 1, -1, 5? -1 What is the closest to -0.2 in -0.1, 1/8, -0.5? -0.1 What is the closest to -1/12 in 8/5, 0.1, 0.4? 0.1 Which is the closest to 0? (a) 5 (b) 1 (c) -9 (d) 6 b What is the nearest to 0.1 in -56, -14, -2, 1? 1 Which is the closest to -47? (a) 0.2 (b) -4 (c) -1/3 b Which is the nearest to 8/7? (a) -5 (b) -1/9 (c) 3 b Which is the nearest to 17? (a) 3/4 (b) -1 (c) -3/8 a Which is the closest to 1? (a) 0.4 (b) 4 (c) -1 (d) 0 a Which is the nearest to 3? (a) -2/13 (b) 2/7 (c) 0.3 (d) -0.1 c Which is the closest to 5? (a) -7/6 (b) -4 (c) -0.3 c Which is the nearest to 92? (a) -1/3 (b) -0.5 (c) 2 c Which is the nearest to -1? (a) -8 (b) 3 (c) -3/8 c Which is the nearest to -7? (a) -0.2 (b) 3 (c) 1/6 a Which is the nearest to -1? (a) 0.1 (b) -0.5 (c) -301.9 b What is the nearest to 1/4 in 32, -2, 1/4? 1/4 Which is the closest to -1? (a) -1 (b) -3/7 (c) 3 a What is the closest to -1 in 0.4, -1/6, -2/13, -9/8? -9/8 Which is the closest to 1? (a) 0.4 (b) 2 (c) -4 a What is the nearest to 0.1 in -1, -7/5, 4/3, -2? -1 Which is the nearest to -1? (a) -9 (b) 7/3 (c) -5 (d) 1 d What is the closest to -1/4 in 0.3, -3/4, -338, 3? -3/4 What is the closest to -66/5 in 0.4, 27, 5? 0.4 Which is the nearest to 2/7? (a) -0.1 (b) -1 (c) 9 (d) 2 a Which is the closest to 0? (a) -1.3 (b) 0 (c) -0.2 (d) -4/3 b What is the nearest to 0.1 in -0.2, 4, -33, 0.1? 0.1 What is the nearest to 2/7 in -0.02, 78, -3/5? -0.02 Which is the nearest to 3? (a) 2 (b) -1/5 (c) 3 c Which is the closest to -0.5? (a) 2/11 (b) 3 (c) 2/3 (d) 0 d What is the closest to -0.1 in 0.27, -3, -4, -4/9? -4/9 Which is the closest to -1? (a) -5 (b) 0.5 (c) 1/134 c Which is the closest to 1? (a) -0.5 (b) 3/14 (c) 0 (d) 1/3 d Which is the nearest to 0.2? (a) -2 (b) -0.2 (c) -3 (d) 4 b Which is the nearest to -2/7? (a) 115 (b) 1 (c) 1/8 c Which is the nearest to -0.1? (a) 7 (b) -2/3 (c) -2 b What is the closest to 30 in 1, 0.4, -2/3? 1 Which is the nearest to 3/16? (a) 1/4 (b) 2/3 (c) 8 a Which is the closest to 0.3? (a) -0.4 (b) 2/3 (c) 11 (d) 1.3 b Which is the nearest to 34? (a) -2 (b) 5 (c) 0.4 (d) 2 b Which is the closest to -2/9? (a) 3 (b) 9/2 (c) 1 c Which is the closest to 7? (a) -5 (b) 0.4 (c) 0 (d) 2/7 b Which is the closest to 3? (a) 0 (b) -4/11 (c) -121 (d) -0.2 a What is the closest to 1 in -3/7, 1/2, -9/5? 1/2 What is the nearest to 3 in 9, 0.1, -15? 0.1 What is the closest to 0 in 0, 6, -4, 2/3? 0 What is the closest to 0 in 8, -3/164, -1/4? -3/164 What is the nearest to 0 in 1, 5, -4? 1 What is the closest to -3 in -14, 0.1, 3, 2? 0.1 Which is the closest to 1? (a) -3 (b) 0.3 (c) 26 (d) 0 b Which is the nearest to 2/3? (a) 2 (b) 1/9 (c) 5 b What is the nearest to 2 in 5, 0, -13? 0 What is the closest to -2 in -2, 5, -0.025? -2 What is the nearest to -6 in 18, -2, 1, 6? -2 What is the closest to 0.08 in 1/2, 4, 0.2, 2/7? 0.2 What is the nearest to -3 in -2/11, -3/4, -2/7, -1/4? -3/4 Which is the nearest to -7? (a) 3 (b) 8 (c) -1/4 c Which is the closest to 0? (a) 2/5 (b) 0.2 (c) -0.7 (d) 1/4 b Which is the closest to -0.2? (a) 0.5 (b) 0 (c) 1/4 b Which is the nearest to 1/26? (a) 34 (b) -2/3 (c) 0 c What is the closest to -1 in 2/13, 1/9, 0? 0 Which is the closest to -2/5? (a) -1 (b) 1/36 (c) 1/2 (d) -0.1 d Which is the nearest to -1/35? (a) -3 (b) -2/3 (c) 0.01 c What is the closest to -1 in -1/3, -3, 389, 0.5? -1/3 Which is the closest to 2? (a) -1/2 (b) -1/3 (c) 0.2 (d) 2/7 d Which is the nearest to -0.14? (a) -0.5 (b) -5/3 (c) 1/5 (d) -0.3 d Which is the nearest to 0? (a) 1/3 (b) -87 (c) -35/6 a Which is the nearest to -2/5? (a) 5 (b) -4 (c) -9/11 c What is the nearest to 0.1 in -4, -0.3, -0.9, 2? -0.3 Which is the nearest to 1/3? (a) -1/6 (b) 0.2 (c) 17/2 (d) -2 b What is the closest to 2/133 in -0.3, 0.08, 0? 0 Which is the closest to -0.2? (a) -0.43 (b) 4/9 (c) 2/5 a Which is the nearest to -1? (a) -14 (b) -2/3 (c) 2/5 b What is the
{ "pile_set_name": "DM Mathematics" }
f 366 and r? 183 Let l = -3326 - -3423. Calculate the highest common factor of l and 3589. 97 Suppose 0 = 6*s - 11419 + 2059. Calculate the highest common divisor of s and 160. 40 Let h(n) = n**3 + 19*n**2 + n + 12. Let l be h(-12). Suppose 17*r - 10*r = l. Let f be (3 - 1)/((-3)/(-54)). Calculate the highest common factor of r and f. 36 Let c be 1373 - (0 + 6/(-4))/(91/182). Let s(q) = 3*q + 4. Let d be s(4). What is the highest common factor of d and c? 16 Let x(s) = s**3 - 10*s**2 + 11*s + 4. Let f be x(9). Let r be (-6 - -42) + (-1)/11 + (-832)/286. What is the greatest common factor of f and r? 11 Let k be 246/(-656) + 31074/48. Calculate the highest common factor of 5 and k. 1 Let q be 0 - (-8 + 8 + -5). Suppose -q*v - 4*o + 86 = -3*o, -2*v = -2*o - 32. Calculate the greatest common divisor of v and 272. 17 Suppose 0 = -14*k + 11*k + 222. What is the highest common divisor of k and 34? 2 Let j = -1094 + 1110. Let z(g) = -g**2 + 12*g - 8. Suppose -2*n = -d + 11 - 1, 43 = 5*d - 3*n. Let k be z(d). Calculate the highest common factor of j and k. 8 Suppose o - 1695 = 4*s, -o - 4*o - 1725 = 4*s. Let l be s*((3 - (-111)/(-15)) + 4). Let w = -85 + l. What is the greatest common factor of w and 17? 17 Suppose -24*y + 3417678 = 75*y. What is the greatest common factor of y and 82? 82 Let k = 38 + -22. Suppose -a + 2*t + k = 7*t, 5*a - 50 = 5*t. What is the greatest common factor of a and 2? 1 Suppose g - 4*f + 4 = -3*f, g = -5*f + 26. Suppose -3*j = -w + 14, -w - g + 6 = 0. Let l be (2 + 2)/(1*(j + 5)). What is the highest common factor of l and 16? 2 Let m = -414 + 424. Let j be (-6)/(-9)*255/m. What is the highest common divisor of 2 and j? 1 Suppose -65*y - 2 = -64*y. Let w be 10/(y - 0)*140/(-100). Calculate the greatest common divisor of w and 448. 7 Let y = -74 - 93. Let w = y + 227. Calculate the highest common factor of 45 and w. 15 Let p(i) = -5*i - 68. Let t be p(-14). Suppose 0 = 2*a - 4*a + 2, t*a + 33 = j. What is the highest common factor of 7 and j? 7 Suppose 2960 + 704 - 503 = o. Calculate the greatest common divisor of o and 29. 29 Let c = -360 - -315. Let d be (-15)/(-5) - (3 + c). What is the highest common divisor of 405 and d? 45 Let p = 201 - 153. Let u = 10 - 6. Suppose u*i = -0*i + p. Calculate the greatest common divisor of i and 48. 12 Let l = 1512 - 676. Calculate the highest common factor of l and 114. 38 Let i be (-38 + 31)/((-2)/18) - -6. Let n be (2/(-9))/(i/(-3105)). Calculate the greatest common divisor of n and 370. 10 Let p(l) = -3*l - 1. Let n be p(-4). Suppose -37 - n = -4*h. Suppose 4047 + 2658 = 201*b - 531. Calculate the greatest common divisor of h and b. 12 Suppose 152 = -5*k + 27. Let w be k/(-10)*(4 - 2). Suppose -288 = w*s - 17*s. Calculate the greatest common divisor of 8 and s. 8 Suppose 1 = l + 5*i, -2*l - 12 = -4*i - 0*i. Let h(g) = 12*g + 58. Let k be h(l). Calculate the greatest common divisor of k and 2. 2 Suppose -2673 - 91911 = -3378*q. Let x = -471 + 1157. What is the greatest common factor of x and q? 14 Suppose 107*f = 115*f - 8. Let k be (-4)/(-14) - (f - 194/7). Calculate the highest common divisor of 9 and k. 9 Suppose -17*b - 22 - 12 = 0. Let l be (55/(-165))/(b/414). What is the greatest common factor of 6 and l? 3 Suppose v + 7 = 3*z - 14, 2*z + 5*v + 3 = 0. Suppose 69 - 197 = -4*y. Suppose -2*d + y = z*d. Calculate the greatest common factor of 12 and d. 4 Suppose -9*v = 7 - 50 - 164. Calculate the highest common factor of 2944 and v. 23 Suppose 84 = p - r, 24*p - 22*p = 3*r + 162. Calculate the highest common divisor of 6230 and p. 10 Suppose 0 = -4*d - 4*c + 16, -d + 9*c = 5*c - 4. Suppose -2*g = d*y - 82, -4*g + 4*y - 2*y = -194. What is the highest common divisor of 47 and g? 47 Suppose s - 4*b - 16 = 0, -2*s + 0 = -3*b - 17. Suppose s*x - m = 1186, 19*m - 899 = -3*x + 15*m. What is the highest common factor of x and 54? 27 Let d(s) = 3*s**2 - 7*s - 9. Let z be d(-4). Suppose 5*b + 29 = -a, 40*b = 42*b + 12. Calculate the greatest common divisor of a and z. 1 Let v(a) = -3*a**2 + 126*a - 16. Let g be v(38). Let x = g - 412. Calculate the highest common factor of 56 and x. 28 Suppose -16 = -17*u + 13*u. Suppose -288 = -u*s + 64. Calculate the greatest common divisor of s and 308. 44 Suppose 3*l = -2*v + 2268, 88*l = 90*l + 4*v - 1512. Calculate the highest common divisor of 3618 and l. 54 Let n be ((-10)/(-6))/((-739)/(-2217)). Calculate the highest common divisor of n and 12005. 5 Suppose 7*b - b - 186 = 36. What is the highest common factor of 629 and b? 37 Let z be 15/20*(-1 + -3). Let x be (1 + 10/(-6))*3*z. Suppose -x*q + 139 = -137. What is the greatest common factor of q and 23? 23 Let m(q) = 6 - 3 - 37*q + q**2 + 41*q. Let r be m(12). Let p(f) = -f + 3. Let l be p(-12). What is the highest common divisor of r and l? 15 Let k = -19421 + 43901. Calculate the greatest common factor of k and 255. 255 Suppose u + l - 1292 = 0, -u = 95*l - 100*l - 1340. Calculate the highest common divisor of u and 1700. 100 Let g(q) = 215*q - 2984. Let o be g(48). Calculate the highest common divisor of o and 16. 8 Let z = -319 - -354. Let w(a) = 2*a**2 + 10*a + 22. Let b be w(13). Suppose 10*d - b = -4*d. Calculate the highest common factor of z and d. 35 Let t be 7*(-10 + 0 - -11). What is the highest common divisor of t and 441? 7 Let a(c) = -c**3 + 14*c**2 + c + 26. Let i be a(14). Suppose 0 = 2*n - i - 170. Suppose 18*h - 60 = 14*h. What is the greatest common factor of h and n? 15 Let d(a) = -17*a - 170. Suppose 4*n + 4*g + 40 = -12, n - 5*g + 13 = 0. Let r be d(n). What is the greatest common divisor of 15 and r? 3 Let n be -3 - ((-8520)/12)/2. Calculate the greatest common divisor of n and 2156. 44 Suppose -4*f - 1 = -5. Let x be f - 0 - (-17 - -7). Let u = -1637 - -1725. What is the highest common factor of u and x? 11 Let k = 76 - 53. Let u = -148 + 555. Let i = 453 - u. What is the highest common factor of k and i? 23 Suppose 59*s - 61*s = -616. Suppose 0*g = 2*g - 8. Suppose -g*z + 113 + 47 = 5*c, z - 61 = -2*c. What is the greatest common factor of c and s? 28 Suppose 3*p = -4*i - 0*i + 14, 0 = -4*p - 4*i + 16. Suppose -21 - 27 = -p*b. Suppose 51*n + 189 + 198 = 180*n. Calculate the highest common factor of b and n. 3 Let a be ((-36)/(-30))/(7/2275). What is the highest common divisor of a and 2665? 65 Suppose 2134 = -91*m + 95*m + 2*d, 2*d = -2*m + 1072. Calculate the greatest common factor of m and 413. 59 Let d(i) = 2*i**3 + 4*i**2 - 5*i - 7. Let v be d(-6). Let a = v - -325. What is the greatest common divisor of a and 36? 12 Suppose 38*f + 3456 - 11054 - 4562 = 0. What is the highest common divisor of f and 40? 40 Suppose -2*l - 9 = -117. Let v be -513*(10 + 1/((-16)/192 + 0/(-2))). What is the greatest common factor of l and v? 54 Let w(t) = -27*t - 14. Let n be 1/5*-9 - 28/140. Let f be w(n). Calculate the greatest common factor of f and 40. 40 Let a(t) = 12*t**2 + 91*t + 401. Let b be a(-23). What is the greatest common factor of 96 and b? 48 Suppose 164*p - 27 = 167*p. Let w be p/((-12)/4) - -47. Calculate the highest common divisor of 320 and w. 10 Let t(i) = i**3 + 8*i**2 - i - 8. Let x be t(-8). Suppose -4*k - 3*o + 73 = x, 0*k - 2*o + 55 = 3*k. Calculate the greatest common divisor of 304 and k. 19 Let v be (-110260)/35 + (-7)/(196/(-8)). Let b be ((-18)/10)/(54/v). Let q = -72 + b. What is the greatest common divisor of 363 and q? 33 Let g be 4/2 - (-124 - 2). Suppose -2*s + 42 = 2*w, 121*s = w + 123*s - 10. Calculate the highest common factor of w and g. 32 Suppose -2*p = -5*h + p + 688, 3*h - 5*p - 400 = 0. Let g = -1124 + 1142. Suppose -5*c + 182 = -g. Calculate the highest common divisor of h and c. 20 Suppose -5*y = -8*y + 2880. Let v = y - 470. Calculate the greatest common divisor of v and 70. 70 Let w(l) = -8 - 11 - l + 19. Let a be w(-3). Suppose 0 = -a*b + 5*z + 62, 4*z = -2*b + 6 + 6. What is the greatest common divisor of 28 and b? 14 Suppose 197 = 9*p - 91. Let i be 20*(0 + p)/4. What is the highest common factor of 96 and i? 32 Let p be (55/(-20) - -3)*56. Let n(a) = -a**2 + 18*a - 38. Let m be n(13). Let k be 1884/m + 4/(-54)*-3. Calculate the highest common factor of k and p. 14 Let f = -22 + 27. Suppose -87 = -f*l - 77. Suppose v - 171 = -l*v. Wh
{ "pile_set_name": "DM Mathematics" }
6, 55220, 82824, 110428, 138032, 165636? 27604*d + 12 What is the o'th term of 526, 720, 846, 898, 870, 756? -o**3 - 28*o**2 + 285*o + 270 What is the x'th term of -75, -224, -447, -744, -1115? -37*x**2 - 38*x What is the x'th term of 36941, 73891, 110841, 147791, 184741? 36950*x - 9 What is the y'th term of -153421, -153422, -153423, -153424, -153425, -153426? -y - 153420 What is the w'th term of 9913, 9911, 9901, 9877, 9833, 9763, 9661, 9521? -w**3 + 2*w**2 - w + 9913 What is the n'th term of 241, 256, 275, 298, 325, 356? 2*n**2 + 9*n + 230 What is the z'th term of -389, -774, -1165, -1568, -1989, -2434, -2909, -3420? -z**3 + 3*z**2 - 387*z - 4 What is the u'th term of -86, -63, -40, -17, 6, 29? 23*u - 109 What is the f'th term of -460, -1892, -4368, -7966, -12764, -18840, -26272, -35138? -13*f**3 - 444*f**2 - 9*f + 6 What is the o'th term of -2600, -2962, -3566, -4412, -5500, -6830, -8402? -121*o**2 + o - 2480 What is the o'th term of 240, 248, 288, 378, 536, 780, 1128, 1598? 3*o**3 - 2*o**2 - 7*o + 246 What is the l'th term of 29825, 29836, 29873, 29948, 30073, 30260, 30521, 30868? 2*l**3 + l**2 - 6*l + 29828 What is the m'th term of -988, -1367, -1748, -2131, -2516, -2903, -3292? -m**2 - 376*m - 611 What is the z'th term of 106647, 106668, 106689? 21*z + 106626 What is the v'th term of 132, -124, -530, -1068, -1720? 3*v**3 - 93*v**2 + 2*v + 220 What is the m'th term of -17129, -17128, -17127, -17126, -17125, -17124? m - 17130 What is the u'th term of -273, -542, -817, -1098, -1385, -1678, -1977? -3*u**2 - 260*u - 10 What is the f'th term of -15784, -63127, -142030, -252493? -15780*f**2 - 3*f - 1 What is the o'th term of -353035, -706071, -1059107, -1412143, -1765179, -2118215? -353036*o + 1 What is the n'th term of 8445, 16826, 25207, 33588? 8381*n + 64 What is the h'th term of -1054, -1829, -3120, -4927, -7250, -10089? -258*h**2 - h - 795 What is the o'th term of 109592, 109591, 109590? -o + 109593 What is the s'th term of 890, 932, 998, 1106, 1274, 1520? 3*s**3 - 6*s**2 + 39*s + 854 What is the o'th term of 177, 711, 1603, 2853, 4461, 6427, 8751? 179*o**2 - 3*o + 1 What is the x'th term of 13516, 13518, 13520, 13522, 13524? 2*x + 13514 What is the s'th term of -109, -211, -367, -565, -793, -1039, -1291, -1537? 2*s**3 - 39*s**2 + s - 73 What is the x'th term of 1380, 5493, 12340, 21921? 1367*x**2 + 12*x + 1 What is the f'th term of 45585, 45628, 45671, 45714? 43*f + 45542 What is the u'th term of -8757, -17520, -26283? -8763*u + 6 What is the r'th term of -314, -326, -338, -350, -362? -12*r - 302 What is the h'th term of -22295, -22295, -22293, -22289? h**2 - 3*h - 22293 What is the l'th term of -26, -11, 4, 19, 34? 15*l - 41 What is the l'th term of -38632, -38639, -38646, -38653, -38660, -38667? -7*l - 38625 What is the v'th term of -4355, -17501, -39415, -70097, -109547, -157765? -4384*v**2 + 6*v + 23 What is the y'th term of -7659, -61207, -206553, -489597, -956239, -1652379? -7650*y**3 + y**2 - y - 9 What is the l'th term of 872, 1760, 2648? 888*l - 16 What is the x'th term of -361, -267, -173, -79? 94*x - 455 What is the v'th term of -13443, -26895, -40347, -53799? -13452*v + 9 What is the i'th term of 22571, 90299, 203189, 361241? 22581*i**2 - 15*i + 5 What is the n'th term of 66, 233, 520, 939, 1502, 2221, 3108? 2*n**3 + 48*n**2 + 9*n + 7 What is the d'th term of -633, -519, -405, -291? 114*d - 747 What is the d'th term of -177, -2180, -5517, -10188? -667*d**2 - 2*d + 492 What is the o'th term of -10691, -14836, -18971, -23090, -27187, -31256, -35291, -39286? o**3 - o**2 - 4149*o - 6542 What is the a'th term of -49032, -48993, -48934, -48849, -48732, -48577, -48378? a**3 + 4*a**2 + 20*a - 49057 What is the h'th term of 2588, 5205, 7822? 2617*h - 29 What is the q'th term of 938, 3142, 6606, 11324, 17290, 24498, 32942, 42616? -q**3 + 636*q**2 + 303*q What is the r'th term of 1193, 2374, 3555? 1181*r + 12 What is the x'th term of -138997, -139037, -139103, -139195, -139313? -13*x**2 - x - 138983 What is the d'th term of -26692, -53383, -80074, -106765? -26691*d - 1 What is the s'th term of -10562, -21081, -31600, -42119, -52638, -63157? -10519*s - 43 What is the w'th term of -201498, -201493, -201476, -201441, -201382, -201293, -201168? w**3 - 2*w - 201497 What is the q'th term of -475, -910, -1345? -435*q - 40 What is the q'th term of 132, 911, 3022, 7131, 13904, 24007, 38106? 111*q**3 + 2*q + 19 What is the a'th term of 797, 225, -349, -925, -1503? -a**2 - 569*a + 1367 What is the a'th term of 40, -136, -466, -956, -1612, -2440, -3446? -a**3 - 71*a**2 + 44*a + 68 What is the v'th term of 468634, 468631, 468628, 468625, 468622? -3*v + 468637 What is the g'th term of -996, -1325, -1654? -329*g - 667 What is the h'th term of -107, -293, -479, -665, -851, -1037? -186*h + 79 What is the c'th term of -1586, -3171, -4756, -6341? -1585*c - 1 What is the b'th term of 48, 42, -38, -216, -516, -962, -1578? -4*b**3 - 13*b**2 + 61*b + 4 What is the i'th term of -16463, -16432, -16343, -16166, -15871? 5*i**3 - i**2 - i - 16466 What is the n'th term of 245, 1008, 2841, 6278, 11853? 89*n**3 + n**2 + 137*n + 18 What is the t'th term of 28059, 56050, 84041, 112032? 27991*t + 68 What is the w'th term of 26356, 105455, 237286, 421849, 659144, 949171? 26366*w**2 + w - 11 What is the v'th term of -192294, -384594, -576894, -769194, -961494, -1153794? -192300*v + 6 What is the h'th term of -725020, -1450044, -2175070, -2900098? -h**2 - 725021*h + 2 What is the p'th term of 58983, 58972, 58961, 58950, 58939? -11*p + 58994 What is the h'th term of -27068, -54138, -81208? -27070*h + 2 What is the j'th term of -18048, -18044, -18018, -17958, -17852? 2*j**3 - j**2 - 7*j - 18042 What is the o'th term of 2098, 4196, 6294? 2098*o What is the a'th term of 354, 438, 522? 84*a + 270 What is the i'th term of -80, -538, -1764, -4142, -8056, -13890? -64*i**3 - 10*i - 6 What is the t'th term of -159, -1093, -2651, -4833, -7639, -11069, -15123? -312*t**2 + 2*t + 151 What is the a'th term of -2702, -5424, -8156, -10904, -13674, -16472, -19304, -22176? -a**3 + a**2 - 2718*a + 16 What is the b'th term of -46, -181, -412, -739? -48*b**2 + 9*b - 7 What is the c'th term of -116, -208, -292, -374, -460, -556? -c**3 + 10*c**2 - 115*c - 10 What is the o'th term of -3416, -3399, -3382, -3365, -3348, -3331? 17*o - 3433 What is the i'th term of 489, 961, 1427, 1887, 2341, 2789, 3231? -3*i**2 + 481*i + 11 What is the r'th term of -58085, -58086, -58087, -58088, -58089? -r - 58084 What is the b'th term of -676867, -1353737, -2030607? -676870*b + 3 What is the m'th term of -212078, -424163, -636248, -848333? -212085*m + 7 What is the b'th term of -55, -102, -193, -352, -603, -970, -1477? -4*b**3 + 2*b**2 - 25*b - 28 What is the y'th term of -14119, -14409, -14893, -15571, -16443, -17509? -97*y**2 + y - 14023 What is the n'th term of 33, 132, 291, 510? 30*n**2 + 9*n - 6 What is the f'th term of -59073, -118147, -177221, -236295, -295369? -59074*f + 1 What is the r'th term of 113385, 113382, 113377, 113370, 113361, 113350? -r**2 + 113386 What is the n'th term of 2212, 2627, 3042, 3457, 3872? 415*n + 1797 What is the j'th term of 245483, 245496, 245509? 13*j + 245470 What is the s'th term of -765, -726, -687, -648, -609, -570? 39*s - 804 What is the u'th term of -291, -589, -883, -1173, -1459, -1741, -2019? 2*u**2 - 304*u + 11 What is the n'th term of -1884126, -1884128, -1884130, -1884132, -1884134? -2*n - 1884124 What is the l'th term of -18945, -19073, -19285, -19581, -19961, -20425, -20973? -42*l**2 - 2*l - 18901 What is the g'th term of 345, 821, 1311, 1821, 2357, 2925? g**3 + g**2 + 466*g - 123 What is the s'th term of -51118, -204455, -460016, -817801, -1277810, -1840043, -2504500? -51112*s**2 - s - 5 What is the w'th term of -58, -190, -346, -526, -730, -958, -1210? -12*w**2 - 96*w + 50 What is the b'th term of -960, -1072, -1186, -1302? -b**2 - 109*b - 850 What is the i'th term of -668, -1322, -1974, -2624, -3272? i**2 - 657*i - 12 What is the v'th term of 23, 113, 201, 287, 371, 453? -v**2 + 93*v - 69 What is the n'th term of -2142, -4284, -6426? -2142*n What is the h'th term of -102, -457, -1426, -3315, -6430, -11077? -51*h**3 - h**2 + 5*h - 55 What is the c'th term of -
{ "pile_set_name": "DM Mathematics" }
te m. -8/419, 0 Find y such that -9*y**4/5 - 48*y**3/5 + 138*y**2/5 + 48*y + 63/5 = 0. -7, -1, -1/3, 3 Solve -18*n**5 + 54*n**4 + 14*n**3 - 46*n**2 + 12*n = 0. -1, 0, 1/3, 2/3, 3 Factor 4*a**3 + 52*a**2 + 192*a + 144. 4*(a + 1)*(a + 6)**2 Determine j, given that 3*j**5/5 + 129*j**4/5 + 360*j**3 + 7476*j**2/5 - 9408*j/5 = 0. -16, -14, 0, 1 Determine m, given that -m**3 + 105*m**2 - 308*m + 204 = 0. 1, 2, 102 Factor 3*u**2/8 + 99*u/8 + 12. 3*(u + 1)*(u + 32)/8 Factor -243*x**3 + 783*x**2 - 840*x + 300. -3*(x - 1)*(9*x - 10)**2 Factor 5*y**4 + 225*y**3 - 235*y**2 - 225*y + 230. 5*(y - 1)**2*(y + 1)*(y + 46) Factor -3*h**3 + 21*h**2 - 36*h. -3*h*(h - 4)*(h - 3) Factor 2*l**2/3 - 8*l. 2*l*(l - 12)/3 Factor 4*j**5/7 + 12*j**4/7 + 8*j**3/7. 4*j**3*(j + 1)*(j + 2)/7 Suppose -2*c**2/9 + 262*c + 9464/9 = 0. What is c? -4, 1183 Factor -3*l**3/2 + 61*l**2/6 - 47*l/3 - 4. -(l - 4)*(l - 3)*(9*l + 2)/6 Let -2*x**2/9 - 64*x/3 - 512 = 0. What is x? -48 What is x in -15*x**3/2 - 13*x**2/2 + 11*x/3 + 8/3 = 0? -1, -8/15, 2/3 Find u, given that 36*u**5 + 192*u**4 - 731*u**3 + 347*u**2 + 390*u - 144 = 0. -8, -2/3, 1/3, 3/2 Factor 3*f**3 + 65*f**2 + 338*f - 120. (f + 10)*(f + 12)*(3*f - 1) Let 10*x**3/17 - 66*x**2/17 - 112*x/17 = 0. Calculate x. -7/5, 0, 8 Factor w**4 + 8*w**3 + 17*w**2 + 10*w. w*(w + 1)*(w + 2)*(w + 5) Let -6*j**5 + 122*j**4 - 478*j**3 - 1258*j**2 + 468*j = 0. Calculate j. -2, 0, 1/3, 9, 13 Find v, given that 4*v**3/3 - 104*v**2/3 + 896*v/3 - 2560/3 = 0. 8, 10 Factor -2*n**4 + 70*n**3. -2*n**3*(n - 35) Determine y, given that y**5/4 - y**4/4 - y**3 + y**2 = 0. -2, 0, 1, 2 Find q, given that -2*q**3 - 3192*q**2 + 6390*q - 3196 = 0. -1598, 1 Solve p**2/5 + 81*p - 406/5 = 0 for p. -406, 1 Factor w**4 + 8*w**3 - 62*w**2 + 48*w + 117. (w - 3)**2*(w + 1)*(w + 13) Factor -9*y**3 + 474*y**2 - 312*y. -3*y*(y - 52)*(3*y - 2) Suppose 5*s**3 - 40*s**2 - 265*s + 300 = 0. Calculate s. -5, 1, 12 Find h such that -15*h**3 - 81*h**2 - 90*h - 24 = 0. -4, -1, -2/5 Let -5*v**5 - 1080*v**4 - 10425*v**3 - 25750*v**2 = 0. What is v? -206, -5, 0 Factor b**2 + 154*b - 960. (b - 6)*(b + 160) Suppose 4*g**3/7 - 112*g**2 + 39188*g/7 - 75272/7 = 0. Calculate g. 2, 97 Factor -2*i**3/21 - 4*i**2/21 + 2*i - 12/7. -2*(i - 3)*(i - 1)*(i + 6)/21 Determine z, given that -2*z**4/3 + 4*z**3/3 + 38*z**2/3 - 136*z/3 + 40 = 0. -5, 2, 3 Find a such that -3*a**3 + 1140*a**2 - 4521*a + 3384 = 0. 1, 3, 376 Factor 35*y**3 - 114*y**2 + 25*y + 6. (y - 3)*(5*y - 2)*(7*y + 1) Factor 3*q**2 + 45*q. 3*q*(q + 15) Let -12*s**5/7 - 33*s**4/7 + 45*s**3/7 + 75*s**2/7 - 93*s/7 + 18/7 = 0. What is s? -3, -2, 1/4, 1 Solve -4*b**2 + 524*b = 0. 0, 131 Factor 2*t**4/7 + 2*t**3 - 34*t**2/7 + 18*t/7. 2*t*(t - 1)**2*(t + 9)/7 Factor -7*p**3 - 915*p**2 + 1186*p - 264. -(p - 1)*(p + 132)*(7*p - 2) Factor -3*b**4/2 + 147*b**3/2 - 2565*b**2/2 + 18225*b/2 - 20250. -3*(b - 15)**3*(b - 4)/2 Factor y**5 + 9*y**4 - 36*y**3 + 4*y**2 + 48*y. y*(y - 2)**2*(y + 1)*(y + 12) Factor 2*n**3 + 46*n**2 - 152*n + 104. 2*(n - 2)*(n - 1)*(n + 26) Find c, given that 17*c**4/2 + 35*c**3/4 - 135*c**2/4 - 35*c - 1 = 0. -2, -1, -1/34, 2 Determine v, given that 4*v**4/7 - 4*v**3/7 - 4*v**2 + 52*v/7 - 24/7 = 0. -3, 1, 2 What is p in -3*p**3/8 - 3*p**2/2 + 33*p/2 + 36 = 0? -8, -2, 6 Suppose 2*x**3/7 + 1084*x**2/7 = 0. What is x? -542, 0 Determine w, given that -w**4 - 11*w**3 - 33*w**2 - 5*w + 50 = 0. -5, -2, 1 Suppose -2*x**3/5 - 9*x**2/5 - 12*x/5 - 4/5 = 0. Calculate x. -2, -1/2 Suppose 14*l**3 + 142*l**2/5 + 74*l/5 + 2/5 = 0. Calculate l. -1, -1/35 Determine z, given that 7*z**5/2 - 19*z**4/2 - 10*z**3 + 40*z**2 - 16*z - 8 = 0. -2, -2/7, 1, 2 Factor -3*z**3/5 - z**2 + 2*z/5. -z*(z + 2)*(3*z - 1)/5 Factor -r**3/4 + 17*r**2 - 925*r/4 - 4107/2. -(r - 37)**2*(r + 6)/4 Factor 2*k**4/13 - 4*k**3/13 - 66*k**2/13 + 180*k/13. 2*k*(k - 5)*(k - 3)*(k + 6)/13 Factor -2*k**5/13 + 240*k**4/13 - 572*k**3 + 14160*k**2/13 - 6962*k/13. -2*k*(k - 59)**2*(k - 1)**2/13 Suppose -3*s**2/2 + 11430*s - 21774150 = 0. Calculate s. 3810 Suppose 2*w**3 + 202*w**2 + 5568*w + 23040 = 0. Calculate w. -48, -5 Factor -5*v**2/6 - 1355*v/3 - 367205/6. -5*(v + 271)**2/6 Factor t**4/4 - t**3 - 9*t**2/4 + 9*t. t*(t - 4)*(t - 3)*(t + 3)/4 Factor 2*z**3/3 - 116*z**2/3 - 118*z/3. 2*z*(z - 59)*(z + 1)/3 Let -2*l**3 + 108*l**2 - 400*l = 0. What is l? 0, 4, 50 Suppose -5*w**2 - 5630*w + 11280 = 0. What is w? -1128, 2 Let 12*c**5 - 176*c**4 + 792*c**3 - 1264*c**2 + 348*c + 288 = 0. Calculate c. -1/3, 1, 3, 8 Factor -3*x**4 - 9*x**3 + 42*x**2 + 36*x - 120. -3*(x - 2)**2*(x + 2)*(x + 5) Let -5*t**2 - 15700*t - 12324500 = 0. Calculate t. -1570 Factor -i**2/2 + 77*i/2 + 120. -(i - 80)*(i + 3)/2 Solve -2*c**2/3 - 292*c/3 - 10658/3 = 0 for c. -73 Determine g so that -2*g**3/5 + 14*g**2 - 412*g/5 + 112 = 0. 2, 5, 28 Let -3*u**5 + 27*u**4 + 9*u**3 - 75*u**2 - 54*u = 0. What is u? -1, 0, 2, 9 Find a such that -2*a**4 + 544*a**3 - 29244*a**2 - 1053728*a - 7503938 = 0. -13, 149 Let -f**4/5 + f**3 - 4*f + 16/5 = 0. Calculate f. -2, 1, 2, 4 Let 3*l**2 - 3 = 0. Calculate l. -1, 1 Let -b**3/2 + b**2/2 + 12*b + 18 = 0. What is b? -3, -2, 6 Factor -8192*r**4 - 3072*r**3 - 32*r**2 + 48*r - 2. -2*(4*r + 1)**2*(16*r - 1)**2 Factor 2*t**4 - 70*t**3 + 618*t**2 - 1034*t + 484. 2*(t - 22)*(t - 11)*(t - 1)**2 Suppose -20*x**5 + 215*x**4 - 425*x**3 - 200*x**2 + 620*x + 160 = 0. Calculate x. -1, -1/4, 2, 8 Let 5*y**2 - 380*y + 740 = 0. What is y? 2, 74 Factor z**4/2 - 16*z**3 - 105*z**2/2. z**2*(z - 35)*(z + 3)/2 Suppose -5*b**4/2 - 21*b**3 - 51*b**2/2 - 7*b = 0. What is b? -7, -1, -2/5, 0 Find b such that b**5/3 - 14*b**4/3 + 41*b**3/3 + 56*b**2/3 = 0. -1, 0, 7, 8 Factor -j**4/5 + 19*j**3/5 + 113*j**2/5 + 33*j + 72/5. -(j - 24)*(j + 1)**2*(j + 3)/5 Find q such that -2*q**2/13 - 84*q/13 - 82/13 = 0. -41, -1 Let -y**3 + 14*y**2 - 11*y - 26 = 0. What is y? -1, 2, 13 Determine u so that -2*u**5 - 11*u**4/2 + 39*u**3/2 - 29*u**2/2 + 5*u/2 = 0. -5, 0, 1/4, 1 Let -5*o**3 - 300*o**2 - 6000*o - 40000 = 0. Calculate o. -20 Suppose n**3 - 9*n**2 - 12*n + 20 = 0. What is n? -2, 1, 10 Factor -c**2/2 - 20*c + 42. -(c - 2)*(c + 42)/2 Suppose -18*q**3 + 125*q**2/2 + 291*q/2 - 40 = 0. Calculate q. -16/9, 1/4, 5 Let 2*u**2 - 166*u + 164 = 0. What is u? 1, 82 Find w, given that -2*w**4 - 28*w**3 - 98*w**2 - 72*w = 0. -9, -4, -1, 0 Factor 2*m**2/15 - 1232*m/15 + 2456/15. 2*(m - 614)*(m - 2)/15 Suppose 2*t**3/7 + 2*t**2/7 - 8*t/7 - 8/7 = 0. What is t? -2, -1, 2 Factor s**3 - 8*s**2 + 5*s + 14. (s - 7)*(s - 2)*(s + 1) What is j in -8*j**5 + 42*j**4/5 + 256*j**3/5 - 98*j**2/5 - 216*j/5 + 56/5 = 0? -2, -1, 1/4, 1, 14/5 Suppose 100*o**5 + 53*o**4 - 265*o**3 + 76*o**2 + 36*o = 0. Calculate o. -2, -1/4, 0, 18/25, 1 Determine n so that 2*n**3 - 158*n**2 + 3040*n + 3200 = 0. -1, 40 Find s such that s**2/4 - 9*s/2 - 63/4 = 0. -3, 21 Determine b so that -3*b**4/2 - 15*b**3/2 - 12*b**2 - 6*b = 0. -2, -1, 0 Let -g**5 + 6*g**4 + 3*g**3 - 20*g**2 + 12*g = 0. What is g? -2, 0, 1, 6 Solve 2*i**3/3 - 32*i**2/3 - 66*i - 84 = 0 for i. -3, -2, 21 Determine y so that -4*y**3 + 4864*y**2 + 9740*y + 4872 = 0. -1, 1218 Factor 3*c**2 + 138*c + 135. 3*(c + 1)*(c + 45) Factor -3*h**3/2 - 105*h**2/2 - 432*h + 486. -3*(h - 1)*(h + 18)**2/2 Find h, given that 2*h**2/9 + 34*h/3 - 440/9 = 0. -55, 4 Find s, given that -s**2/4 + 791*s/4 - 395/2 = 0. 1, 790 Factor -2*g**4/9 + 520*g**3/3 - 302636*g**2/9 - 203320*g/3 - 305762/9. -2*(g - 391)**2*(g + 1)**2/9 Factor 2*q**3 + 444*q**2 + 23730*q - 102152. 2*(q - 4)*(q + 113)**2 Factor -4*b**3 - 56*b**2 + 308*b + 4680. -4*(b - 9)*(b + 10)*(b + 13) Factor -2*c**3/11 + 122*c**2/11 - 116*c/11 - 240/11. -2*(c - 60)*(c - 2)*(c + 1)/11 Let 5*j**2/12 - 2*j - 5/12 = 0. Calculate j. -1/5, 5 Factor -3*v**2 - 1545*v - 7650. -3*(v + 5)*(v + 510) What is q in -q**2 - 90*q + 376 = 0? -94, 4 Let n**4/3 - 7*n**3/3 - 39*n**2 + 297*n = 0. Calculate n. -11, 0, 9 Factor -20*q**2 + 32*q - 12. -4*(q - 1)*(5*q - 3) Determine g so that 3*g**2 - 654*g = 0. 0, 218 Factor -u**2/2 - 23*u/2 - 21. -(u + 2)*(u + 21)/2 Let 3*z**3/4 + 867*z**2/4 - 1743*z/4 + 873/4 = 0. Calculate z. -291, 1 Determine r, given that -3*r**5 + 6*r**4 + 6*r**3 - 12*r**2 - 3*r + 6 = 0. -1, 1, 2 Factor k**3/3 + 5*k**2/3 + 8*k/3 + 4/3. (k + 1)*(k + 2)**2/3 Solve -5043*f**2
{ "pile_set_name": "DM Mathematics" }
977. Give c(1). 45 Let y(k) = -k**2 - 6992*k + 98036. Determine y(14). -48 Let f(t) = -16206*t + 129099. What is f(8)? -549 Let c(z) = 1384*z - 7236. Determine c(5). -316 Let c(s) = s**3 + 6*s**2 - 194*s + 699. Calculate c(7). -22 Let h(w) = 2*w**3 - 1143*w**2 + 668*w + 470. Determine h(1). -3 Let r(x) = -6738*x - 1003960. Give r(-149). 2 Let p(q) = 14*q**2 + 12445*q + 122172. Calculate p(-879). -9 Let u(z) = 5*z**2 - 2059*z - 306790. What is u(528)? -22 Let j(w) = -1117*w + 183463. Determine j(165). -842 Let h(n) = -n**3 + 63*n**2 + 214*n - 42129. Calculate h(51). -3 Let i(r) = -r**3 - 26*r**2 - 211*r - 2217. Determine i(-21). 9 Let j(m) = m**2 - 22199*m - 110990. Calculate j(-5). 30 Let m(p) = -667*p**2 - 107388*p - 167. Give m(-161). -6 Let p(w) = 6*w**2 - 128*w + 281. Give p(16). -231 Let i(d) = 2*d**3 + 57*d**2 - 1240*d - 35498. Determine i(-28). 6 Let u(l) = -14422*l + 2192160. What is u(152)? 16 Let f(i) = 3*i**2 + 842*i + 41599. What is f(-64)? -1 Let s(d) = -8191*d + 8043633. Calculate s(982). 71 Let g(m) = -m**3 + 118*m**2 - 213*m + 25141. Determine g(118). 7 Let d(w) = w**3 + 7*w**2 - 1869*w - 7534. Determine d(-4). -10 Let b(y) = 2*y**2 - 41*y - 834. What is b(-13)? 37 Let m(a) = 1121926*a - 12341200. Give m(11). -14 Let p(g) = 4996*g - 24846. Determine p(5). 134 Let p(i) = -i**2 - 236*i + 4039. Give p(16). 7 Let d(j) = 2104*j + 47780. Calculate d(-24). -2716 Let g(n) = -4*n**2 - 224919*n + 4049831. Calculate g(18). -7 Let r(n) = -7*n**3 - 239*n**2 - 710*n + 38. Determine r(-3). 206 Let b(y) = 9*y**2 + 1083*y + 18298. What is b(-100)? -2 Let g(j) = -131*j + 4684. What is g(37)? -163 Let k(b) = -b**3 - 85*b**2 + 28*b + 9417. What is k(-84)? 9 Let p(f) = -54*f**2 + 2683*f - 1800. Determine p(49). 13 Let q(a) = -2*a**2 - 63*a + 3085. What is q(-32)? 3053 Let h(v) = 23*v**2 - 569*v - 113. Determine h(25). 37 Let l(x) = 3932*x - 9347. Give l(3). 2449 Let h(s) = -8*s**2 - 2834*s + 16534. Determine h(-360). -26 Let v(q) = 7*q**3 - 98*q**2 + 150*q - 2078. Determine v(14). 22 Let y(h) = -1588*h**2 + 17515*h - 511. What is y(11)? 6 Let a(l) = -40*l**2 + 2641*l - 7934. Determine a(3). -371 Let a(r) = r**3 - 193*r**2 + 200*r - 1447. Give a(192). 89 Let q(t) = 5*t**2 + 20*t + 212. What is q(-8)? 372 Let k(b) = -239*b**3 - 732*b**2 - 67*b - 207. Give k(-3). -141 Let k(t) = -8064*t + 137152. Calculate k(17). 64 Let g(j) = 5*j**2 - 4033*j - 12143. What is g(-3)? 1 Let a(u) = 164423*u - 5425961. Give a(33). -2 Let s(l) = -33*l**2 + 806*l - 31. Give s(24). 305 Let x(w) = 2*w**3 - 6*w**2 + 30*w - 87. Give x(7). 515 Let a(h) = -6457*h + 90140. What is a(14)? -258 Let z(j) = 22*j**2 + 2511*j + 156. Give z(-114). -186 Let r(x) = -49634*x + 1141523. Give r(23). -59 Let w(d) = -534*d + 10415. Determine w(10). 5075 Let k(f) = -f**3 + 10*f**2 + 8*f + 179. What is k(12)? -13 Let h(b) = b**3 - 6*b**2 - 39*b - 138. What is h(-5)? -218 Let p(d) = 577*d**2 - 66935*d + 342. Give p(116). -6 Let o(n) = -79991*n - 479948. Determine o(-6). -2 Let i(q) = 2*q**2 + 13745*q - 165310. What is i(12)? -82 Let z(t) = -2462*t + 87. What is z(0)? 87 Let o(u) = 10*u**3 - 551*u**2 + 55*u - 5. What is o(55)? -5 Let n(j) = 39143*j - 2152860. What is n(55)? 5 Let s(v) = 75*v**3 + 824*v**2 - 7*v + 43. Determine s(-11). -1 Let q(u) = u**3 - 4*u**2 - 264*u + 1736. What is q(7)? 35 Let h(i) = 752*i - 523365. Calculate h(696). 27 Let h(d) = -223*d**2 - 12037*d + 263. Determine h(-54). -7 Let d(n) = n**3 - 35*n**2 + 113*n - 3200. Calculate d(38). 5426 Let r(a) = 12*a**2 - 2660*a + 5325. Calculate r(2). 53 Let q(k) = k**3 + 10*k**2 - 1201*k + 16. Calculate q(30). -14 Let d(z) = z**3 + 336*z**2 + 2284*z - 6207. Give d(-329). 44 Let f(b) = 5*b**2 + 21*b - 203. Calculate f(6). 103 Let y(a) = -76*a**2 + 5152*a + 1026. What is y(68)? -62 Let h(l) = 23674*l - 165814. Calculate h(7). -96 Let d(c) = 45329*c - 3852950. Calculate d(85). 15 Let s(o) = o**3 + 177*o**2 + 2265*o + 21811. What is s(-164)? -1 Let k(i) = 11*i**3 - 77*i**2 + 76*i - 70. What is k(6)? -10 Let p(z) = -z**2 - 19*z + 584. Determine p(20). -196 Let j(k) = -73*k**2 + 5774*k - 34656. Calculate j(6). -2640 Let l(z) = 66976*z - 669760. Calculate l(10). 0 Let v(c) = 60*c + 8285. Calculate v(-109). 1745 Let o(t) = -623*t + 88103. Calculate o(141). 260 Let m(p) = -172*p**2 - 860*p + 35. Determine m(-4). 723 Let i(b) = 79*b - 1028. Determine i(15). 157 Let o(m) = 3*m**3 + 503*m**2 + 348*m + 1349. Calculate o(-167). -989 Let h(q) = -q**3 + 57*q**2 + 250*q + 29. Determine h(-4). 5 Let o(i) = 1743*i**2 - 12289*i + 53. Determine o(7). -563 Let h(d) = d**2 + 1274*d + 33675. Calculate h(-27). 6 Let r(l) = 3110*l**2 + 143053*l - 381. Determine r(-46). -59 Let u(h) = -14*h**2 - 179*h - 332. Calculate u(-9). 145 Let g(y) = -24487*y + 783578. Give g(32). -6 Let v(p) = -15*p**2 + 7184*p - 69874. Determine v(469). 7 Let d(x) = -3*x**3 + 3*x**2 + 9262*x - 18523. What is d(2)? -11 Let h(w) = 204*w**2 - 105063*w + 1545. Calculate h(515). 0 Let b(u) = 2806*u + 378810. Calculate b(-135). 0 Let i(p) = 3*p**3 + 4*p**2 - 226*p - 704. Determine i(-3). -71 Let m(i) = i**2 + 4062*i - 57070. What is m(14)? -6 Let q(k) = -2090*k - 2556. What is q(-2)? 1624 Let g(r) = -2*r**2 - 2059*r - 527746. Calculate g(-548). -22 Let h(w) = -1339*w - 1277. Give h(-2). 1401 Let s(x) = -x**3 + 6*x**2 - 512*x + 6921. Calculate s(13). -918 Let r(x) = -6*x**2 + 155*x + 2490. What is r(37)? 11 Let l(f) = -f**3 + 7*f**2 + 10*f - 256. What is l(0)? -256 Let y(m) = m**3 - 418*m**2 + 2950*m - 552. Calculate y(7). -41 Let a(h) = -4*h**3 - 38*h**2 - 22*h + 23. Determine a(-10). 443 Let w(a) = -182*a**3 + 11*a**2 + 13*a - 25. Determine w(1). -183 Let x(b) = -164*b**3 + 1465*b**2 + 125*b - 231. Give x(9). 3 Let m(h) = -6424*h - 282672. What is m(-44)? -16 Let z(j) = -17*j**3 - 120*j**2 - 185*j - 40. What is z(-5)? 10 Let b(t) = t**2 - 1063*t - 20470. What is b(-19)? 88 Let l(x) = 4358*x + 12996. Calculate l(-3). -78 Let x(b) = b**2 - 78713*b - 1023437. What is x(-13)? 1 Let l(v) = 958*v**2 - 13403*v - 35. Calculate l(14). 91 Let i(a) = 1637*a + 17842. Calculate i(-11). -165 Let a(m) = 363*m + 4006. What is a(-11)? 13 Let l(t) = -39*t + 11897. What is l(303)? 80 Let w(c) = -136*c**2 - 578*c + 512. Calculate w(-5). 2 Let n(y) = 31*y**2 + 158*y - 643. Determine n(4). 485 Let a(n) = -18*n**3 - 7*n**2 - 288*n - 1154. Give a(-4). 1038 Let x(v) = -334*v**3 - 15699*v**2 - 46*v + 37. Give x(-47). -10 Let g(v) = -7*v**2 + 1831*v + 68051. Determine g(-33). 5 Let t(z) = z**3 + 153*z**2 + 1436*z + 60403. Give t(-146). -41 Let u(k) = -3003*k + 1360343. Calculate u(453). -16 Let m(u) = -11*u**2 + 580*u + 800. What is m(55)? -575 Let x(a) = -a**3 - 142*a**2 + 2530*a + 324. Determine x(-158). 8 Let u(r) = 62822*r + 1067990. What is u(-17)? 16 Let p(z) = -z**3 - 181*z**2 - 1230*z - 2480. Give p(-174). -392 Let g(o) = -5*o**3 - 17*o**2 + 98*o + 115. Calculate g(-6). -5 Let y(i) = -35608*i - 1531167. What is y(-43)? -23 Let w(m) = 19*m**2 + 398*m - 1582. Give w(4). 314 Let n(y) = -19*y**2 - 63*y - 837. What is n(-11)? -2443 Let n(u) = 16*u**2 + 205*u + 123. Give n(-13). 162 Let q(a) = -2*a**3 - 134*a**2 + 1239*a - 43. What is q(9)? -1204 Let p(y) = -1098*y - 63654. Determine p(-58). 30 Let b(r) = -r**3 - 558*r**2 - 64602*r + 5439. Determine b(-394). -77 Let x(g) = 15*g**2 + 1504*g + 24314. What is x(-80)? -6 Let i(f) = -f**2 - 16881*f - 320388. What is i(-19)? -10 Let m(d) = -26*d**2 - 989*d + 34345. What is m(22)? 3 Let r(z) = 901*z + 9217. Give r(-10). 207 Let l(y) = -965*y + 4852. Give l(11). -5763 Let p(x) = 6*x**3 + 569*x**2 + 1009*x - 1282. Calculate p(-93). 20 Let g(s) = -2*s**3 + 13*s**2 + 8*s + 962. Give g(11). -39 Let y(p) = -p**2 + 1404*p - 98482. Give y(74). -62 Let x(r) = -4*r**2 + 418*r + 173. Give x(104). 381 Let y(m) = 227*m - 24944. Determine y(111). 253 Let x(i) = -3*i**3 + 14*i**2 - 63*i - 396. What is x(-3)? 0 Let c(q) = 2*q**3 + 81*q**2 + 629*q + 130. Calculate c(-30). 160 Let x(p) = 42404*p + 593620. What is x(-14)? -36 Let l(q) = 9729*q - 59216. What is l(6)? -842 Let r(u) = u**3 + 165*u**2 + 134*u - 4388. What is r(-164)? 532 Let c(r) = -r**3 - 236*r**2 + 18836*r + 96. Determine c(63). 33 Let i(r) = -r**2 + 108*r - 758. Determine i(110). -978 Let f(x) = 5*x**3 - 12*x**2 - 71*x -
{ "pile_set_name": "DM Mathematics" }
of 654534*i*t**4 - 2444*i*t - 19*t wrt t. 7854408*i*t**2 Find the second derivative of -410940*h**4*t - 2*h**3*t**2 - h*t**2 - 42*h*t + 255*h - 4*t wrt h. -4931280*h**2*t - 12*h*t**2 Find the second derivative of 35*k*s**4 + 118*k*s**2 - 2*k*s - k - 3*s**2 - 2215*s + 9 wrt s. 420*k*s**2 + 236*k - 6 Find the second derivative of -7129*m**2*w**2*x + 2*m**2*w*x**2 + 2*m*w**2*x**2 - 66*m*w**2 + m*w*x**2 + 29*x**2 + 2 wrt m. -14258*w**2*x + 4*w*x**2 Find the second derivative of -66*a**5 + 4*a**4*x**3 + 35*a**2 + 876*a*x**3 + 2*x + 1 wrt a. -1320*a**3 + 48*a**2*x**3 + 70 Find the third derivative of 32*i*s**4 - 417*i*s**3 - 86*i*s**2 - 4*i*s + 6*s**4 - s**3 - 468*s**2 wrt s. 768*i*s - 2502*i + 144*s - 6 What is the first derivative of 383*d**4 + 3*d**3 - 11*d - 46331 wrt d? 1532*d**3 + 9*d**2 - 11 What is the derivative of -26326*k**3*n + 918*k**3 - 3*k**2 - 13 wrt n? -26326*k**3 Find the third derivative of -398*k**3*t**3 + 26*k**3*t + k**2*t**2 + 21793*k*t**3 wrt k. -2388*t**3 + 156*t What is the third derivative of -78039*v**4 - v**2 + 15*v - 191 wrt v? -1872936*v Find the third derivative of 1794758*v**6 + 2*v**2 - 3*v - 39694 wrt v. 215370960*v**3 What is the third derivative of 15789*u**4 + 2*u**3 + 18*u**2 - 15*u - 192? 378936*u + 12 What is the second derivative of 8380*x**3 - 64*x**2 - 5264*x wrt x? 50280*x - 128 Find the third derivative of 83716*r**3 + 331*r**2 - 3*r - 268. 502296 Find the second derivative of -504671*u**5 + 1495499*u wrt u. -10093420*u**3 Find the third derivative of 318936*i**4 + 98138*i**2 + 3. 7654464*i Find the second derivative of -76*b**2*d*q**2 - 18*b**2*q**2 - 513*b**2 - 20*b*d*q - 41*b*q**2 - 10*q wrt q. -152*b**2*d - 36*b**2 - 82*b Differentiate 17617*h**2 + 64523 wrt h. 35234*h Differentiate -2553*l**2*y - 41*l**2 - 50*l + 3*y**2 - 1 wrt y. -2553*l**2 + 6*y Find the second derivative of 4*m*o**2 - 15*m*o + m - 900211*o**2 + 7*o + 47 wrt o. 8*m - 1800422 Find the third derivative of 346559*t**3*u - 174*t**2*u - 269*t**2 - 4*u wrt t. 2079354*u Find the second derivative of -136051*k**4 + 101*k - 1752 wrt k. -1632612*k**2 Find the third derivative of 82*o**3*r**3 - 2*o**3*r**2 + 2*o**3*r + 94146*o**3 - 5*o**2*r**3 - 16*o*r**3 - 4*r**3 + 3*r wrt r. 492*o**3 - 30*o**2 - 96*o - 24 Find the first derivative of 182927*a - 328073. 182927 Find the second derivative of -12*t*u**3 - t*u**2 - 246*t*u + 4*t - 5*u**3 - 7*u**2 - 3*u - 2 wrt u. -72*t*u - 2*t - 30*u - 14 Differentiate 4*t**3 - t**2 - 9*t - 37149 with respect to t. 12*t**2 - 2*t - 9 What is the second derivative of -1076*q*v**4 - 1914*q + 11*v**4 - 30*v wrt v? -12912*q*v**2 + 132*v**2 Find the first derivative of -591299*d*g*x**3 - g*x**2 - 10*g + x**3 - 2*x**2 + 8510*x wrt d. -591299*g*x**3 What is the derivative of -33312*x - 54225? -33312 Find the third derivative of 176132*o**4 - 1902*o**2 - 3 wrt o. 4227168*o Find the first derivative of 2*n*v**3 - 523*n - 628*v**4 - v**2 + 2*v - 5 wrt v. 6*n*v**2 - 2512*v**3 - 2*v + 2 Find the second derivative of -2*m*x**3 + 234750*m*x**2 - 286798*m*x wrt x. -12*m*x + 469500*m What is the third derivative of -2*k**5 + 170*k**4 + 4382*k**3 + 2*k**2 - 427394*k? -120*k**2 + 4080*k + 26292 What is the first derivative of 285*o*r**2*s - 30833*o*s - 45*o + 5*r**2 + 41*r*s wrt r? 570*o*r*s + 10*r + 41*s What is the derivative of 442127*z - 347817? 442127 Find the third derivative of 109*h*o**3 - 42*h - 607*o**3 + 25095*o**2 wrt o. 654*h - 3642 What is the third derivative of -321*n**4 - 489*n**3 - 157642*n**2 wrt n? -7704*n - 2934 Find the second derivative of -42687*g**5 + 38700*g. -853740*g**3 Find the second derivative of -1187*i**4 + 17*i**2*j - i*j + 35*i - 2*j + 197 wrt i. -14244*i**2 + 34*j Differentiate -s**4 + 466846*s**2 - 4775292. -4*s**3 + 933692*s Find the second derivative of -5947984*b**2*d + 118*b*d - 2*b - 6*d - 79 wrt b. -11895968*d What is the second derivative of 19315*u**5 + 2*u**4 + 10865*u - 1? 386300*u**3 + 24*u**2 What is the third derivative of 508120*h**4 + 15*h**2 + 2856*h? 12194880*h What is the third derivative of 2*x**4 - 27021*x**3 + 32734*x**2? 48*x - 162126 What is the second derivative of 2*a*s**3 - 71375*a*s - a - 465673*s**4 wrt s? 12*a*s - 5588076*s**2 Find the third derivative of 28*n**6 + 8*n**4 - 429*n**3 + 2*n**2 + 2*n + 124318. 3360*n**3 + 192*n - 2574 Find the third derivative of 233*o**4 + 105*o**3 + 246389*o**2. 5592*o + 630 What is the derivative of 130665*j**3 - 77042? 391995*j**2 What is the derivative of 26*m*n**2*x + 21*m*n**2 + m*n - 139*m + x wrt x? 26*m*n**2 + 1 Find the second derivative of -52782*y**4 + 22567*y + 2. -633384*y**2 What is the third derivative of d**2*x**5 + 4*d**2*x**2 + 7*d*x**2 + 10*d*x - 12311*x**6 + 2*x wrt x? 60*d**2*x**2 - 1477320*x**3 Differentiate 2128454*b*n**2 - 48845*n**2 wrt b. 2128454*n**2 Find the third derivative of 23030*l**4 + 262*l**2 + 5*l. 552720*l What is the second derivative of 28644*o**3 + 28*o - 140? 171864*o Differentiate -236057*f*o**2 - 12*o**2 - 8656*o with respect to f. -236057*o**2 What is the second derivative of -281039*d**4 + 306440*d wrt d? -3372468*d**2 What is the second derivative of -141254*g**2 + 62653*g wrt g? -282508 What is the second derivative of 10115*j**2 - 3*j + 3798? 20230 What is the first derivative of -2602100*o - 1601170 wrt o? -2602100 Find the third derivative of 417057*s**4 + 4530*s**2 + 5*s wrt s. 10009368*s Differentiate -w*z**2 - 3418*w + 5*z**2 - 5911 with respect to w. -z**2 - 3418 Find the first derivative of -34*b**4 - 236*b**3 + 39766. -136*b**3 - 708*b**2 Find the second derivative of -32*h*j*m**3 + 3*h*j*m + 7018*h*j + 3*h*m**4 + 18*j*m**2 - m wrt m. -192*h*j*m + 36*h*m**2 + 36*j Find the second derivative of -19*i**3*k**5 - 89*i**3 + 395*i*k**5 - 411*i*k wrt k. -380*i**3*k**3 + 7900*i*k**3 What is the third derivative of -i*r**3*x*y + 57*i*r**3*x + 4*i*r**3*y + i*r**2*x*y + 74*i*r**2*x + 2*i*x + 5*r**2*x + r**2*y wrt r? -6*i*x*y + 342*i*x + 24*i*y What is the third derivative of 11*f**3*n**2 + 112*f**3 - f**2*n**2 + 2*f*n - f + 2*n**2 + 21007 wrt f? 66*n**2 + 672 Find the second derivative of 7*o*r**2*x - 118*o*r**2 - 1931*o*r*x - 4*o*x + 25*r**2 wrt r. 14*o*x - 236*o + 50 What is the third derivative of -394032*h**3 + 1433564*h**2 wrt h? -2364192 Find the third derivative of 1392*c**3*f**3 + 2*c**3*f**2 + 9*c**3*f - 9*c**2*f**3 + 1068*c**2*f**2 - 2*c**2 + 3*c*f**3 wrt c. 8352*f**3 + 12*f**2 + 54*f Differentiate 106452*g**2*h**2 - 3*g*h**2 + 1023956*h**2 - h wrt g. 212904*g*h**2 - 3*h**2 What is the second derivative of 40956*p**4 - 2*p**3 - 2*p**2 + 102*p - 1416? 491472*p**2 - 12*p - 4 What is the third derivative of -1797*w**2*z**4 + 7*w**2*z**2 + 12763*w**2*z + 3*z**4 - 8*z**3 + 21*z**2 wrt z? -43128*w**2*z + 72*z - 48 Find the third derivative of 1355635*v**5 + 24*v**2 + 5099*v + 1. 81338100*v**2 What is the second derivative of 181027*s**3*t**2 - 162*s*t**2 - 223*s + t**2 wrt s? 1086162*s*t**2 Find the first derivative of 1150*k**2*q**2 - 216*k*q**3 - 2*q**3 + 3989*q**2 + 2 wrt k. 2300*k*q**2 - 216*q**3 What is the third derivative of 12*n**5 - 494*n**4 + n**3 + 2*n**2 - 6697*n? 720*n**2 - 11856*n + 6 Find the third derivative of -2*f**3*t*w + 23*f**3*w + 59*f**3 + 35124*f**2*t*w wrt f. -12*t*w + 138*w + 354 Differentiate 12*c*r*x**2 - 2*c*r + 6*c - 9*r*x - 2090*r + 98*x**2 wrt x. 24*c*r*x - 9*r + 196*x What is the third derivative of -16772*y**5 + 14126*y**2? -1006320*y**2 What is the second derivative of 2*g**3*t**2 + 3*g**3 - 3090*g**2*t**2 - 13624*g**2*t - 4*g*t**2 wrt t? 4*g**3 - 6180*g**2 - 8*g What is the derivative of 10*s**3*v + 61025*s**3 + 3402*v**2 wrt v? 10*s**3 + 6804*v Find the second derivative of 21429*c**3 - 5*c**2 + 676*c + 42. 128574*c - 10 Find the third derivative of -913956*r**5 - 186601*r**2 - 1. -54837360*r**2 Find the third derivative of 3*b**3*t**5 - 5*b**3*t**2 - 4*b**3*t + 8*b**2*t**2 + 102*t**5 - 70 wrt t. 180*b**3*t**2 + 6120*t**2 What is the third derivative of 128352*n*z**3 - n*z - 16*n - 54*z**2 wrt z? 770112*n Find the third derivative of -392181*q**6 + 19*q**2 + 6*q + 216 wrt q. -47061720*q**3 What is the third derivative of -1192271*a**5 + 2*a**4 + 76153*a**2 + 11? -71536260*a**2 + 48*a Find the third derivative of 13417*x**5 + 88*x**4 - 2712403
{ "pile_set_name": "DM Mathematics" }
of -b**5/20 + 5*b**4/3 + 67*b**3/6 + 51*b**2/2 + 224*b. Let d be w(23). Solve 35 = -4*p + d*s, -2*s + 1 = 2*p - p for p. -5 Let v(t) = 53*t + 1224. Let w be v(-23). Solve 4*y + 3*a + 4 = 0, -w*y + 0*a - a + 6 = 0 for y. 2 Suppose 2*l - 44 = -6*p, -3*l + p + 8 = -8. Suppose -4*y + 25 = y. Solve 0 = 3*o + 2*g + l, 0*g = -4*o + y*g - 17 for o. -3 Let j be -2*(-4)/(2 - -2). Suppose 4*k + 2*o = 64, 3*k = 2*o + j*o + 37. Suppose 10*m = k*m - 25. Solve 5*c = 5*n - m, 0 = c - 2*n + 4*n - 5 for c. 1 Suppose 0 = -2*q + 5 - 1. Suppose q*k - 3 + 7 = o, o - 4 = 4*k. Let x = 94 + -92. Solve -8*p - 3*y = -4*p - 1, 3*p + x*y - 2 = k for p. 4 Suppose 4 = 4*z - 4. Suppose 5*c = -2*q + 32 + 37, -4*q + 133 = 5*c. Suppose q*p = 36*p - 28. Solve 4*v - 2*b + 18 - z = 0, 3*v + p = -b for v. -3 Let t(d) = -d**3 + 6*d**2 + 3*d - 7. Let r be t(6). Let c = 5192 - 5190. Let u be ((-12)/(-10))/(6/105). Solve z - u = c*v + 2*v, -3*z = v - r for z. 5 Let g(u) = -23*u**2 + 507*u - 22. Let r be g(22). Solve 12*z - 20 = -5*f + 17*z, r = 2*f - z - 5 for f. 1 Let x = 3313 + -3310. Solve 9 = -3*b - o - 7, -x*b - 5*o - 20 = 0 for b. -5 Let m = 204 + 430. Let n = -632 + m. Solve 2*g = n*r, 0 - 18 = 5*r + 4*g for r. -2 Let c = 132 + -87. Let b be (-1 + 1/(-2))/((-36)/48). Suppose y - c = -b*y. Solve 2*o = 7*o + 5*u - y, 0 = -2*u + 6 for o. 0 Suppose 4*t = -3*m + 8, 2*m + 2*m - 17 = t. Solve -3*n - 5*h + m*h = 10, 3*n - 2 = 2*h for n. -2 Suppose 89*p - 6177 = -128*p + 4*p. Solve 6 = p*g - 32*g, -16 = -3*l + 2*g for l. 4 Let q(b) = b**3 - 15*b**2 + 23*b - 15. Let a be q(15). Suppose -4*l = l - a. Let v = l - 50. Solve 3*u - 8*u - v = 2*z, z - 5*u = 7 for z. -3 Suppose 174*d = 175*d - 243. Let b = -240 + d. Solve 5*k + b = -n + k, 0 = 4*n + k - 18 for n. 5 Let w = -12117 + 12509. Solve 28 = w*a - 396*a + 4*l, l = -2*a - 8 for a. -5 Let f(c) = 161*c + 3. Let n be f(-1). Let a = n + 290. Let t = 135 - a. Solve 0*r + r - 4*j = -8, -25 = -4*r - t*j for r. 4 Suppose -5*n = 3*s - 1221, -s + 70 = -4*n - 354. Let h = 416 - s. Solve -8 = 2*l - h*f, 4 = -3*l - 4*f + 2 for l. -2 Let n be (2/10)/((-1358)/105 - -13). Solve -12 = 4*t, n*p - 19*t + 12 = -22*t for p. -1 Let b = 328 + -325. Suppose 3*q + 2*y - 6 = 0, -y + b = -131*q + 130*q. Solve -2*z + 8 = 5*p - 9, 3*p - z - 8 = q for p. 3 Suppose 7*n - 5*x + 29 = 4*n, -n - x + 1 = 0. Let i be -4*(-5 - n)*-1. Let f be 4*-1 - (-1)/((-1)/i). Solve -3*a = -2*u - 7 - 5, 0 = -f*a + 8 for u. -3 Let r = 827 + -825. Solve 2*d + 2 = -16*a + 14*a, 2 = -r*a + d for a. -1 Let k = -12403 - -12406. Solve 12 = h + k*q, -h - 10*q + 14*q = 9 for h. 3 Let f(i) = -i**3 + 13*i**2 + 17*i - 218. Let m be f(13). Solve 9 = m*o - 5*p, 5*p = -0*p - 15 for o. -2 Suppose 4*b - 3 = b. Let w be (0/3)/(b + 1). Let g = -6887 + 6892. Solve w = 3*j - j + g*d + 6, -4*j + d = 12 for j. -3 Let m(p) = p**2 + 7*p + 8. Let f be m(-8). Let w = -14 + f. Let g(l) = l**2 - l - 6. Let i be g(3). Solve i = -q - 2, 3*x = q - 3*q + w for x. 2 Let j be (-268)/(-8 + (-34)/(-4)). Let x = 545 + j. Solve z = 2*q + 2*q + 14, -3*z - 5*q = x for z. 2 Suppose 0 = -3*j + 3*k + 12, -28*j + 26*j - 5*k = 6. Suppose 2*t - 9 - 1 = 0. Solve -j*h - 3*h - l = -3, 4*h = t*l - 15 for h. 0 Suppose 5*f - 3*f = -10. Let d(g) = 101 - 51 - g**3 - 47 - 4*g**2 - 175*g + 180*g. Let h be d(f). Solve h*w - 4*b = -w + 8, 0 = -b for w. 2 Let d be ((-8)/28)/((27/42)/(-9)). Suppose 0 = z - d + 2. Solve 2*g - 3 = 5*t + g, 0 = -4*t + z*g for t. -1 Let o be (88/16)/((-9)/(-18)). Solve 5*z - 2*x - 12 = 0, 8*z - o = 3*z + x for z. 2 Suppose -53*h = -56*h + 15. Suppose -3*m - 4*m + 263 = 88. Solve -b - h = -2*w, w + 3*b = -3*w + m for w. 4 Let g = 14218 + -14213. Solve -7 = -4*f + q, g*q + 8 - 30 = f for f. 3 Let q = 12 - 7. Suppose 0 = 2*c - o - 1, -o + 4 = -1. Let x = 1444023 + -1444021. Solve -q*p = -0*p + x*m - 23, -c*p + 4*m = 7 for p. 3 Suppose 3*j - 5*j = -14. Suppose -11*w - 11 = -3*y - j*w, -4*y = 2*w - 44. Solve 5*s + 4*k - y = -0*k, 5*k - 1 = 4*s for s. 1 Suppose -q + 2*z - 37 = -49, -5*q + 28 = -2*z. Solve s = -q*h - 11, -4*s + h + 0 = -7 for s. 1 Suppose 159 = 40*h + 45*h - 96. Solve -h*i - 5 = -5*g, -5 = -6*g + g + 5*i for g. 1 Let b(u) be the first derivative of -u**2/2 - u - 14. Let j be b(-26). Let x be -3 - 6/((-30)/j). Solve x*c = -3*q + 6, 0*c + 15 = 5*c + 2*q for c. 3 Let i(r) = -12*r + 23*r - 5 - 20 - 14*r. Let f be i(-15). Let b be -1 - (-115)/f - (-2)/8. Solve -2*s = -4*c + 24, b*s + 22 - 6 = -c for s. -4 Let b(f) = -f**2 - 78*f + 516. Let h be b(6). Solve 4*d - 3*v - 8 - 4 = 0, -3*d = -3*v - h for d. 0 Let r = 177 - 317. Let x be (-46)/(-14) + 40/r. Suppose x*q + 2 = 2. Solve -5*z - 5*v = q, -4 + 7 = -2*z - 5*v for z. 1 Suppose 106 - 150 = -22*y. Solve -38*h + 24 = -4*r - 42*h, y*h = -2 for r. -5 Suppose -27*o - 21*o = -71*o + 6*o. Solve -r + 2*k = 4*k - 10, -3*r - 5*k + 27 = o for r. 4 Let n be (-3)/(-4) - (-8 - 261/36). Solve 2*d + 13 - 5 = 3*t, 5*t = 4*d + n for d. -4 Let v(n) = 2*n**2 - 17*n + 20. Let g be v(9). Let s = -47 + 20. Let m = g + s. Solve -2*x - m*b = x - 11, -2*x - 5*b + 11 = 0 for x. 3 Let d = -280 - -278. Let f be 5/(15/d) + 581/21. Solve 0 = -4*y + 5*t + f, 0 = 2*t + 4 + 2 for y. 3 Suppose -7*i = -2*i + 5*f + 10, -f + 4 = 3*i. Let v(b) = -2*b**3 + 2*b**2 + 5*b. Let s be v(0). Solve -4*j + 15 = -0*j - k, -3*j - i*k = s for j. 3 Suppose 46*p + 38*p + 23*p - 1177 = 0. Solve -6 = -3*n - 0*z - 4*z, -2*n - 5*z + p = 0 for n. -2 Suppose 42 = 2*w + 12*w. Let c be (-234)/(-45) - w/15. Solve p - 1 + 3 = r, c*r - 2 = 3*p for p. -4 Let z(d) = d**2 + 10*d - 22. Let w be z(-12). Let s be (w + 1 + -2)*(-1 + 3). Solve 5 = s*p - 5*x, 3 = -p - x + 2 for p. 0 Suppose 47*b = -50 - 105 + 249. Solve b*p - 16 = p - 4*m, -p - m + 7 = 0 for p. 4 Let s be (4/(-28))/((-4)/(-14)*(-5)/10). Solve -6*o + 2*o - 8*m + 44 = 0, 4*o - m = -s for o. 1 Let d be (1 - (-2)/(-6))*-6. Let p = d + 7. Suppose 256 = 396*i - 745*i + 413*i. Solve 2*h - p*z + 7 = -0*z, h = i*z - 6 for h. -2 Let m be (711/27)/(2/(-6)). Let l = m - -84. Suppose o = 2*w - w - l, 2*w + o = 7. Solve 5*t - p - w*p = -40, -5*t - 32 = -3*p for t. -4 Let w be 42/11 + (208/(-88))/(-13). Solve 0 = y + 2*g + 1, w*y - 2*g = 8 - 12 for y. -1 Suppose 128*f + 88 = 136*f. Suppose -f - 3 = -2*m - 5*l, -5*m - 3*l = -73. Solve 8 = 5*k - m, -5*k = -v - 28 for v. -3 Let j be (-2)/(-11) - (-6 + 1585/(-55)). Let g = j - 25. Suppose g*h = 4*h + 174. Solve -z + 3*m = 15, m - 6*m + h = -3*z for z. -3 Let v = -29 + 30. Suppose 17 = 4*w + v. Suppose h = -y + 7, 2*y + y = -w*h + 24. Solve a - 5*l - 18 = 0, 2*a + 2*l = -a + h for a. 3 Let f be (1364/(-465))/22*-120. Let h be 1/1 + (-2 - -4). Solve 0*g - 2*g - 4*x + f = 0, -h*x + 7 = -g for g. 2 Suppose -8*m = 26*m - 16*m - 36. Solve -8 = -m*p + 4*t, -10*t + 6*t - 4 = -3*p for p. -4 Let a = 10626 + -10622. Solve -4*j + 15 = 3*r, a = 2*j - 7*r - 29 for j. 6 Suppose 2 + 277 = 9*w. Suppose -357 = -w*u - 20*u. Solve -2*h + 11 = -5*q, 3*h + q - 5 = u*h for h. -2 Let w(f) = -f**3 + 6*f**2 + 8*f + 31. Let j be w(7). Suppose 0 = -j*y + 15*y. Solve 2*d + d - 6 = -2*z, y = 2*z - 5*d + 26 for z. -3 Let o(i) = i**3 + 20*i**2 - 45*i - 22. Let n be o(-22). Let l be -3 + 1 - (-45)/9. Solve 3*g = -12, l*b + n*b + 1 = 2*g for b. -3 Let j(x) be the second derivative of x**3/2 + x**2 + 4*x. Let o be j(1). Let l be 6/((-120)/(-52))*o. Solve -2*m + y = -3*y + 24, 0 = m + 3*y - l for m. -2 Suppose 0 = -2*a + l + 34 + 29, 5*l + 54 = a. Solve s + a*f - 31*f = 2, s + f = 2 for s. 2 Let q(i) = i**3 - 102*i**2 - 42*i + 4297. Let w be q(102). Solve 0 = 2*y - k + 8, -49*y + 4*k = -50*y - w for y. -5 Let h be ((-35)/4)/(2/(-8)). Let m(k) = 28*k + 145. Let j be m(-5). Suppose 2*w + j*v = 26, 11*v = 7*v + 16. Solve -z = -5*l - w*z - h, 2*l + 20 = -2*z for l. -5 Suppose -5*a = -3*a - 16. Let f(j) = 35 + 1 - 4*j + 7 - 5 + 12. Let n be f(a). Solve -t + 7 = -4*v, -v - n = -0*v + 3*t for v. -3 Suppose 15*q = 19*q - m + 84, -2*q - 2*m - 32 = 0. Let s = q + 36. Solve 3*c = 3*l, 3*c + 2*c + s = l for l. -4 Suppose b + 3 = 0, -3*v = 2*v + b - 112. Let k = v + -19. Suppose -2*h - 2*o = -h - 12, -k*o = -20. Solve 3*y - 15 = -7*j + h*j, 12 = 4*j for y. 0 Let x = 41 - 11. Suppose 3*m - 7*m = -4*p - 84, p + 2*m = -x. Let i be 26/12 + 2/p*2. Solve -3 = -5*c + h, -2*c - 2*h = i -
{ "pile_set_name": "DM Mathematics" }
10 What is the a'th term of -418, -469, -520, -571, -622? -51*a - 367 What is the u'th term of -309, -618, -927, -1236? -309*u What is the m'th term of -224, -241, -268, -311, -376, -469? -m**3 + m**2 - 13*m - 211 What is the d'th term of -23, -54, -85? -31*d + 8 What is the v'th term of 1482, 1474, 1466, 1458, 1450, 1442? -8*v + 1490 What is the s'th term of 4, -25, -58, -95, -136, -181, -230? -2*s**2 - 23*s + 29 What is the i'th term of 47, 67, 99, 143, 199? 6*i**2 + 2*i + 39 What is the f'th term of -229, -392, -553, -712, -869, -1024? f**2 - 166*f - 64 What is the p'th term of 35, 18, 15, 32, 75, 150, 263? p**3 + p**2 - 27*p + 60 What is the g'th term of 9, 22, 57, 126, 241, 414, 657? 2*g**3 - g**2 + 2*g + 6 What is the g'th term of 60, 152, 228, 282, 308, 300, 252, 158? -g**3 - 2*g**2 + 105*g - 42 What is the h'th term of -168, -335, -502, -669, -836? -167*h - 1 What is the t'th term of -42, -29, 0, 51, 130, 243, 396, 595? t**3 + 2*t**2 - 45 What is the h'th term of -260, -269, -302, -371, -488, -665, -914? -2*h**3 + 5*h - 263 What is the q'th term of 1338, 2682, 4028, 5376, 6726, 8078? q**2 + 1341*q - 4 What is the z'th term of -87, -86, -75, -48, 1, 78, 189, 340? z**3 - z**2 - 3*z - 84 What is the w'th term of -56, -256, -744, -1664, -3160, -5376, -8456, -12544? -24*w**3 - 32*w What is the y'th term of -299, -1206, -2719, -4838, -7563? -303*y**2 + 2*y + 2 What is the c'th term of -262, -247, -198, -97, 74, 333, 698, 1187? 3*c**3 - c**2 - 3*c - 261 What is the j'th term of 9, -68, -197, -378, -611, -896, -1233? -26*j**2 + j + 34 What is the x'th term of -319, -320, -321, -322, -323, -324? -x - 318 What is the w'th term of 74, 162, 236, 290, 318? -w**3 - w**2 + 98*w - 22 What is the b'th term of -394, -397, -412, -445, -502, -589, -712, -877? -b**3 + 4*b - 397 What is the b'th term of 35, 49, 65, 83? b**2 + 11*b + 23 What is the b'th term of 2, -22, -62, -118, -190, -278? -8*b**2 + 10 What is the n'th term of -434, -872, -1312, -1754, -2198, -2644, -3092? -n**2 - 435*n + 2 What is the a'th term of 7, -7, -53, -149, -313, -563, -917, -1393? -3*a**3 + 2*a**2 + a + 7 What is the z'th term of 577, 1148, 1715, 2278, 2837, 3392, 3943? -2*z**2 + 577*z + 2 What is the o'th term of -27, -25, -39, -81, -163, -297, -495, -769? -2*o**3 + 4*o**2 + 4*o - 33 What is the r'th term of -10, -61, -150, -283, -466, -705, -1006, -1375? -r**3 - 13*r**2 - 5*r + 9 What is the b'th term of 327, 325, 323? -2*b + 329 What is the o'th term of -3, -2, 3, 12, 25, 42? 2*o**2 - 5*o What is the y'th term of -36, -46, -68, -108, -172, -266, -396? -y**3 - 3*y - 32 What is the g'th term of -110, -108, -106, -104? 2*g - 112 What is the c'th term of -6, 12, 46, 102, 186, 304? c**3 + 2*c**2 + 5*c - 14 What is the a'th term of 17, 75, 171, 305, 477, 687? 19*a**2 + a - 3 What is the d'th term of 77, 161, 245, 329? 84*d - 7 What is the f'th term of -749, -732, -703, -656, -585, -484, -347, -168? f**3 + 10*f - 760 What is the c'th term of 933, 1860, 2787, 3714? 927*c + 6 What is the m'th term of -1788, -3567, -5344, -7119, -8892? m**2 - 1782*m - 7 What is the k'th term of -5, -10, -19, -32, -49, -70, -95? -2*k**2 + k - 4 What is the m'th term of 483, 486, 489, 492? 3*m + 480 What is the v'th term of 7, 46, 153, 364, 715, 1242, 1981? 6*v**3 - 2*v**2 + 3*v What is the u'th term of 1, 24, 65, 124, 201, 296, 409? 9*u**2 - 4*u - 4 What is the f'th term of -4715, -4713, -4711? 2*f - 4717 What is the u'th term of 77, 159, 243, 329, 417? u**2 + 79*u - 3 What is the p'th term of -162, -326, -490? -164*p + 2 What is the i'th term of 12, 74, 174, 306, 464, 642, 834, 1034? -i**3 + 25*i**2 - 6*i - 6 What is the j'th term of 286, 282, 276, 268, 258, 246, 232? -j**2 - j + 288 What is the t'th term of -1230, -1216, -1178, -1104, -982, -800, -546? 2*t**3 - 1232 What is the g'th term of 438, 437, 436, 435, 434? -g + 439 What is the s'th term of 17, 23, 31, 41? s**2 + 3*s + 13 What is the r'th term of 148, 307, 466, 625? 159*r - 11 What is the s'th term of -130, -129, -128, -127? s - 131 What is the h'th term of 319, 318, 317? -h + 320 What is the h'th term of 66, 274, 620, 1104, 1726, 2486? 69*h**2 + h - 4 What is the c'th term of 142, 135, 124, 109? -2*c**2 - c + 145 What is the c'th term of 13, 28, 41, 52, 61, 68, 73? -c**2 + 18*c - 4 What is the x'th term of -49, -110, -183, -274, -389, -534, -715? -x**3 - 54*x + 6 What is the b'th term of -8, 5, 52, 145, 296, 517, 820, 1217? 2*b**3 + 5*b**2 - 16*b + 1 What is the w'th term of -9, -14, -29, -60, -113, -194, -309? -w**3 + w**2 - w - 8 What is the m'th term of -793, -797, -803, -811, -821, -833, -847? -m**2 - m - 791 What is the z'th term of 824, 823, 822, 821, 820? -z + 825 What is the n'th term of -482, -493, -508, -527, -550, -577? -2*n**2 - 5*n - 475 What is the v'th term of 7, -1, -31, -95, -205, -373, -611? -2*v**3 + v**2 + 3*v + 5 What is the g'th term of 38, 56, 70, 80? -2*g**2 + 24*g + 16 What is the k'th term of 1264, 2530, 3796, 5062? 1266*k - 2 What is the u'th term of 6, 84, 214, 396, 630, 916? 26*u**2 - 20 What is the j'th term of 11, -22, -115, -298, -601, -1054, -1687? -5*j**3 + 2*j + 14 What is the u'th term of 1806, 1822, 1840, 1860, 1882, 1906? u**2 + 13*u + 1792 What is the w'th term of -14, 6, 46, 112, 210, 346, 526, 756? w**3 + 4*w**2 + w - 20 What is the p'th term of 1756, 3499, 5242, 6985, 8728, 10471? 1743*p + 13 What is the c'th term of -1142, -1136, -1120, -1088, -1034, -952, -836? c**3 - c**2 + 2*c - 1144 What is the i'th term of 0, 2, 4? 2*i - 2 What is the x'th term of -2, -12, -8, 28, 114, 268, 508, 852? 3*x**3 - 11*x**2 + 2*x + 4 What is the i'th term of 349, 694, 1037, 1378, 1717? -i**2 + 348*i + 2 What is the m'th term of -97, -124, -171, -244, -349, -492? -m**3 - 4*m**2 - 8*m - 84 What is the r'th term of -459, -913, -1367, -1821? -454*r - 5 What is the w'th term of -140, -282, -430, -584, -744, -910? -3*w**2 - 133*w - 4 What is the c'th term of -51, -106, -161, -216, -271, -326? -55*c + 4 What is the y'th term of 104, 112, 134, 176, 244, 344, 482? y**3 + y**2 - 2*y + 104 What is the t'th term of 1185, 2342, 3489, 4620, 5729, 6810, 7857? -t**3 + t**2 + 1161*t + 24 What is the s'th term of 30, 13, -30, -111, -242, -435, -702, -1055? -2*s**3 - s**2 + 33 What is the c'th term of -3, -7, 5, 39, 101, 197, 333? c**3 + 2*c**2 - 17*c + 11 What is the i'th term of -11, -8, -3, 4? i**2 - 12 What is the n'th term of 666, 667, 668, 669, 670? n + 665 What is the o'th term of -27, -70, -149, -270, -439, -662, -945, -1294? -o**3 - 12*o**2 - 14 What is the z'th term of -109, -107, -101, -91? 2*z**2 - 4*z - 107 What is the h'th term of -14, -34, -58, -86? -2*h**2 - 14*h + 2 What is the h'th term of 126, 47, -84, -267, -502? -26*h**2 - h + 153 What is the w'th term of 90, 174, 258? 84*w + 6 What is the w'th term of 427, 425, 421, 415? -w**2 + w + 427 What is the g'th term of -41, -410, -1415, -3374, -6605, -11426? -53*g**3 + 2*g + 10 What is the x'th term of 131, 197, 251, 287, 299, 281? -x**3 + 73*x + 59 What is the a'th term of 369, 367, 363, 357, 349? -a**2 + a + 369 What is the t'th term of -90, -98, -108, -120? -t**2 - 5*t - 84 What is the d'th term of 147, 137, 125, 111? -d**2 - 7*d + 155 What is the w'th term of 51, 53, 55, 57, 59, 61? 2*w + 49 What is the k'th term of -20109, -20108, -20107, -20106? k - 20110 What is the g'th term of 11, -4, -35, -88, -169, -284? -g**3 - 2*g**2 - 2*g + 16 What is the w'th term of -34, -68, -104, -142, -182, -224? -w**2 - 31*w - 2 What is the p'th term of -27, -18, 7, 42, 81, 118, 147? -p**3 + 14*p**2 - 26*p - 14 What is the d'th term of 12, -6, -48, -120, -228, -378, -576, -828? -d**3 - 6*d**2 + 7*d + 12 What is the f'th term of 896, 893, 890, 887, 884? -3*f + 899 What is the y'th term of -166, -344, -640, -1054, -1586? -59*y**2 - y - 106 What is the n'th term of -81, -101, -133, -177, -233? -6*n**2 - 2*n - 73 What is the t'th term of -79, -73, -65, -55, -43, -29? t**2 + 3*t - 83 What is the x'th term of -185, -182, -179, -176, -173? 3*x - 188 What is the k'th term of 10, 22, 46, 88, 154? k**3 + 5*k + 4 What is the o'th term of 279, 278, 285, 306, 347, 414, 513, 650? o**3 - 2*o**2 - 2*o + 282 What is the v'th term of -185, -175, -177, -197, -241, -315, -425, -577? -v**3 + 17*v - 201
{ "pile_set_name": "DM Mathematics" }
+ 27*i/2. 3*i*(i + 1)**2*(i + 3)**2/2 Suppose -o**4/3 - 445*o**3/3 - 65987*o**2/3 - 3260543*o/3 = 0. What is o? -151, -143, 0 Solve 6*c**4 - 892*c**3 + 33416*c**2 - 17168*c - 175232 = 0. -2, 8/3, 74 Determine b so that -2*b**4 + 36*b**3 + 678*b**2 - 16576*b + 75264 = 0. -21, 7, 16 Let l**5 - 247*l**4 + 1902*l**3 + 2398*l**2 - 1903*l - 2151 = 0. Calculate l. -1, 1, 9, 239 Determine x, given that -x**3/2 - 8599*x**2/2 + 17204*x - 17206 = 0. -8603, 2 Factor -5*x**3 - 6340*x**2 - 50480*x - 100800. -5*(x + 4)**2*(x + 1260) Determine z so that 10*z**4 + 116*z**3 - 178*z**2 + 52*z = 0. -13, 0, 2/5, 1 Factor -y**2/3 + 118384*y/3 + 78924. -(y - 118386)*(y + 2)/3 Factor 1114*t**2 + 1124*t + 10. 2*(t + 1)*(557*t + 5) Factor -4*t**2 - 219432*t - 3009400164. -4*(t + 27429)**2 Solve 2*k**4/3 + 494*k**3 - 1492*k**2/3 - 1976*k + 5936/3 = 0 for k. -742, -2, 1, 2 Factor -j**2/4 + 104*j + 2961/4. -(j - 423)*(j + 7)/4 Suppose 10*b**5 + 1234*b**4 - 768*b**3 - 2984*b**2 - 992*b = 0. Calculate b. -124, -1, -2/5, 0, 2 Factor -12*c**4 - 252795*c**3 - 1775168622*c**2 - 4155373872132*c - 1038732523944. -3*(c + 7022)**3*(4*c + 1) Factor l**5/4 + 5515*l**4/4 - 16572*l**3 + 49743*l**2. l**2*(l - 6)**2*(l + 5527)/4 Determine i, given that 4*i**5/3 - 556*i**4/3 + 3160*i**3 - 14400*i**2 = 0. 0, 9, 10, 120 Factor 4*b**2 + 43556*b + 826120. 4*(b + 19)*(b + 10870) Factor 5*i**2 + 2039610*i + 208000447605. 5*(i + 203961)**2 Solve 32*x**5/13 - 48*x**4/13 - 798*x**3/13 + 3124*x**2/13 - 4074*x/13 + 1764/13 = 0 for x. -6, 1, 7/4, 3 Determine a, given that 4*a**2/3 - 5088*a - 30544/3 = 0. -2, 3818 Factor 5*a**3/4 - 5725*a**2/4 - 8605*a/2 - 2870. 5*(a - 1148)*(a + 1)*(a + 2)/4 Solve 2*z**2 + 1240*z + 192200 = 0 for z. -310 Determine s so that -2*s**3 - 28*s**2 + 4942*s + 114480 = 0. -40, -27, 53 Factor 4*p**3 - 4004*p**2 + 999996*p + 1004004. 4*(p - 501)**2*(p + 1) Factor -t**3 + 2003*t**2 - 144816*t + 416448. -(t - 1928)*(t - 72)*(t - 3) Suppose -f**2/4 + 115*f/4 + 7776 = 0. What is f? -128, 243 Find a, given that -2*a**2 + 5590*a - 99972 = 0. 18, 2777 Solve 2*a**2/19 + 20702*a/19 + 20700/19 = 0. -10350, -1 Suppose i**3/4 + 15527*i**2/4 = 0. What is i? -15527, 0 Suppose -3*q**3/4 - 927*q**2/2 - 70200*q + 438048 = 0. Calculate q. -312, 6 Find i such that -i**3 - 25076*i**2 - 50149*i - 25074 = 0. -25074, -1 Find j, given that 2*j**3/3 + 4642*j**2/3 + 4640*j/3 = 0. -2320, -1, 0 Find s such that -4*s**3 - 6708*s**2 - 224604*s - 1899308 = 0. -1643, -17 Let 3*o**4 - 756*o**3 - 15153*o**2 - 79434*o - 65040 = 0. Calculate o. -10, -8, -1, 271 Factor -2*t**2 + 41160*t - 41158. -2*(t - 20579)*(t - 1) Factor 3*m**3 + 2664*m**2 - 43788*m - 357984. 3*(m - 22)*(m + 6)*(m + 904) What is i in -i**3/4 - 41221*i**2/4 - 106017606*i + 3723250860 = 0? -20628, 35 Find i such that 10125*i**5 - 26325*i**4 - 902610*i**3 - 357996*i**2 - 47592*i - 2112 = 0. -8, -2/15, 11 Suppose 3*y**3 + 2724*y**2 - 8193*y + 5466 = 0. Calculate y. -911, 1, 2 Solve -4*g**3 + 2692*g**2 - 21344*g + 42560 = 0. 4, 665 Suppose 2*z**4/7 - 1068*z**3/7 + 161426*z**2/7 - 5032416*z/7 + 44405888/7 = 0. What is z? 19, 248 Suppose 16*q**2 - 934*q + 348 = 0. What is q? 3/8, 58 Factor 2*j**2/11 - 134*j/11 - 164220/11. 2*(j - 322)*(j + 255)/11 Determine x, given that 2*x**2/3 - 4174*x - 12528 = 0. -3, 6264 Suppose -4*b**3 + 608*b**2 - 596*b - 1208 = 0. Calculate b. -1, 2, 151 Factor q**3/2 - 753*q**2 + 17856*q - 106704. (q - 1482)*(q - 12)**2/2 Let 3*x**2 + 93588*x + 729892812 = 0. Calculate x. -15598 Factor 3*d**3/4 - 217065*d**2/4 + 3926543049*d/4 - 3926325987/4. 3*(d - 36177)**2*(d - 1)/4 Let -3*n**5/4 - 42*n**4 - 1185*n**3/2 - 2502*n**2 - 12987*n/4 = 0. Calculate n. -37, -13, -3, 0 Solve -5*g**4 + 970*g**3 - 12720*g**2 + 21600*g = 0 for g. 0, 2, 12, 180 Let -n**3/4 - 2865*n**2 = 0. Calculate n. -11460, 0 Factor -2*g**3/9 + 6218*g**2/9 - 2760*g. -2*g*(g - 3105)*(g - 4)/9 Find q, given that 5*q**4/3 - 208*q**3/3 + 587*q**2 + 2766*q + 1008 = 0. -3, -2/5, 21, 24 Factor -2*k**3/5 + 82*k**2/5 + 1272*k/5. -2*k*(k - 53)*(k + 12)/5 Factor 3*r**2/7 + 100173*r/7 - 100176/7. 3*(r - 1)*(r + 33392)/7 Factor 2*o**2 + 15380*o + 29568050. 2*(o + 3845)**2 Factor 2*s**4 + 4522*s**3 + 3454950*s**2 + 926338222*s + 26251034048. 2*(s + 32)*(s + 743)**3 Factor d**2/5 + 164178*d/5 - 164179/5. (d - 1)*(d + 164179)/5 Find l such that 80*l**3 + 17759*l**2/3 + 51046*l/3 - 71 = 0. -71, -3, 1/240 Factor 2*z**2 - 2750*z + 172788. 2*(z - 1309)*(z - 66) Factor 5*u**3 - 365*u**2 - 3650*u - 3280. 5*(u - 82)*(u + 1)*(u + 8) Let 4*m**2 - 241432*m = 0. Calculate m. 0, 60358 Solve 201*q**2/5 + 462*q = 0. -770/67, 0 Factor 12*n**2 - 11516*n. 4*n*(3*n - 2879) Solve -2*l**2/5 + 1354*l/5 - 8052/5 = 0. 6, 671 Factor -3*i**3 + 1785*i**2 + 18123*i + 16335. -3*(i - 605)*(i + 1)*(i + 9) Let -49*z**4/3 + 4817526*z**3 - 2752868*z**2 + 1179800*z/3 = 0. Calculate z. 0, 2/7, 294950 Solve 5*q**3/2 + 485*q**2/2 + 5500*q - 18750 = 0. -50, 3 Determine t so that 9*t**3 + 32803*t**2 - 270306*t + 58448 = 0. -3653, 2/9, 8 Suppose -r**5/2 + 11787*r**4/2 + 35367*r**3/2 + 35369*r**2/2 + 5895*r = 0. What is r? -1, 0, 11790 Let -5*j**2/4 - 675*j/4 - 9765/2 = 0. Calculate j. -93, -42 Solve -2*h**2/5 - 342316*h/5 - 14647530482/5 = 0. -85579 Factor 4*v**2 + 1408*v + 47728. 4*(v + 38)*(v + 314) Solve -j**3 + 843*j**2 - 10802*j + 9960 = 0. 1, 12, 830 Determine n, given that -375*n**5 - 8150*n**4 + 10845*n**3 - 1860*n**2 - 460*n = 0. -23, -2/15, 0, 2/5, 1 Factor l**2/3 + 278*l/3 - 20825. (l - 147)*(l + 425)/3 Factor 3*m**3 - 6612*m**2 + 19815*m - 13206. 3*(m - 2201)*(m - 2)*(m - 1) Let -2*r**2 + 440*r + 16128 = 0. Calculate r. -32, 252 What is o in -o**2/5 - 1262*o - 12616/5 = 0? -6308, -2 Suppose -2*h**2/15 + 5672*h/15 + 16896 = 0. What is h? -44, 2880 What is k in 154*k**4/3 + 1016*k**3/3 + 1226*k**2/3 - 116*k/3 - 160 = 0? -5, -8/7, -1, 6/11 Determine s, given that 2*s**3 + 466*s**2/11 + 2240*s/11 + 392/11 = 0. -14, -7, -2/11 Find w, given that -w**3 - 1686*w**2 - 755505*w - 37196600 = 0. -815, -56 Factor 3*o**3 - 8031*o**2 + 5402745*o - 37426725. 3*(o - 1335)**2*(o - 7) Factor -3*q**4/8 - 29547*q**3/4 + 59103*q**2/2 - 29553*q. -3*q*(q - 2)**2*(q + 19702)/8 Let 3200*v**2/3 - 1285*v/2 + 3/2 = 0. Calculate v. 3/1280, 3/5 Suppose -2*n**3 + 2666*n**2 + 2668*n = 0. Calculate n. -1, 0, 1334 What is h in -h**2/3 - 2735*h/3 - 23478 = 0? -2709, -26 Factor -4*x**3/5 - 1268*x**2/5 - 1248*x. -4*x*(x + 5)*(x + 312)/5 Factor -3*m**3 + 37719*m**2 + 113178*m + 75456. -3*(m - 12576)*(m + 1)*(m + 2) What is f in -f**3/5 - 332*f**2/5 + 10804*f/5 - 20272/5 = 0? -362, 2, 28 Let 2*g**2/11 + 97062*g/11 - 8824 = 0. Calculate g. -48532, 1 Suppose 2*d**3/5 + 4496*d**2 - 179936*d/5 + 359936/5 = 0. Calculate d. -11248, 4 Find o such that 5*o**3/6 + 20345*o**2 - 5*o/6 - 20345 = 0. -24414, -1, 1 Factor 4*o**3/7 + 16928*o**2/7 + 91276*o + 6056136/7. 4*(o + 19)**2*(o + 4194)/7 Solve 4*m**5 + 106*m**4 - 2828*m**3 + 11232*m**2 + 6336*m = 0 for m. -44, -1/2, 0, 6, 12 Suppose -5*p**2/6 - 311075*p/3 - 19353531125/6 = 0. What is p? -62215 Find s such that 3*s**3 - 81*s**2 - 1296*s - 4212 = 0. -6, 39 Find h such that 4*h**2/9 + 4141928*h/3 + 1072222972324 = 0. -1553223 Factor 4*h**4 + 56*h**3 - 2148*h**2 - 6840*h. 4*h*(h - 19)*(h + 3)*(h + 30) Factor -5*m**3 - 6065*m**2 - 96080*m - 383040. -5*(m + 8)**2*(m + 1197) Let -g**4/5 - 247*g**3/5 - 8717*g**2/5 - 91181*g/5 - 149454/5 = 0. Calculate g. -207, -19, -2 Factor -i**3/3 - 61*i**2/3 - 20*i. -i*(i + 1)*(i + 60)/3 Suppose 5*f**4 - 2210*f**3 - 6675*f**2 - 20*f + 8900 = 0. What is f? -2, 1, 445 Determine l so that -5*l**2 + 1190*l - 2360 = 0. 2, 236 Factor 3*n**2/2 - 3453*n. 3*n*(n - 2302)/2 What is s in -s**5/6 + 45341*s**4/6 + 45343*s**3/2 + 136031*s**2/6 + 22672*s/3 = 0? -1, 0, 45344 Solve -2*d**3/7 - 1534*d**2/7 + 34602*d/7 - 89946/7 = 0. -789, 3, 19 Factor v**4/6 + 265*v**3/6 - 673*v**2/3 + 180*v. v*(v - 4)*(v - 1)*(v + 270)/6 Let -2*o**3/9 - 1094*o**2/9 + 1096*o/9 = 0. Calculate o. -548, 0, 1 Let -85*p**5 + 349190*p**4 - 478301230*p**3 + 218620921720*p**2 - 243800233685*p + 25657264090 = 0. What is p? 2/17, 1, 1369 Factor -d**3/2 + 327*d**2 + 33258*d + 789268. -(d - 746)*(d + 46)**2/2 Find z such that z**4/4 + z**3/4 - 205*z**2/2 + 624*z + 1656 = 0. -23, -2, 12 Solve 2*g**3 - 116*g**2 + 1054
{ "pile_set_name": "DM Mathematics" }
be v(-21). Is m at least as big as -35? False Let m = -1408 - -1326. Which is bigger: -247/3 or m? m Let t(s) be the first derivative of s**4/12 + 10*s**3/3 + 3*s**2 - 3. Let c(d) be the second derivative of t(d). Let w be c(-5). Which is smaller: w or 11? w Let f = 32/131 - 8544/655. Which is smaller: f or -12? f Let u be -1 - 4 - (1 + -2). Let r be -5 + -7 + -3 + 3 + 11. Is u at least r? False Let j be 4*(205/164 + 71/(-4)). Which is bigger: j or -4? -4 Let q = -1139 + 1139. Which is smaller: q or -0.0786? -0.0786 Let r = -0.13 + 0.18. Let h = r - -31.95. Let c = 14 - h. Which is greater: c or 1? 1 Suppose 4*h - 4*s = 52, -3*s = 5*h - 2*s - 59. Let u be ((-2)/21)/(4/h). Is u < -44? False Let g = -270 - -381. Let m = 125 - g. Is m bigger than 0? True Let a = -38.4 + 38.29. Is -3/7 at least a? False Suppose -4*t + 2*c = -3*t - 162, 0 = -4*c. Let p be t/(-10) + (-1)/(-5). Let k be -3 + (-60)/p + 0. Is k < -2? False Let s = -105.23 - 1.17. Let c = s + 106. Is 1 > c? True Suppose -3*q + 4*t = -t - 17, 4 = -4*t. Let j be (-3 - 106/(-36))*(0 + q). Which is smaller: -1 or j? -1 Let v = -2801/16065 + -2/945. Let y(d) = 6 + d**2 + 0 + 0*d + 6*d. Let c be y(-5). Is v >= c? False Let w(v) = 2*v**2 + 20 + 2 - 11 - 25*v. Let c be w(12). Is -1/173 < c? False Let c be (-8)/(-280)*1355 + -1. Which is smaller: 39 or c? c Let u(z) = z**2 - 2*z + 50. Let r be 9/(135/6) - (-2)/(-5). Let x be u(r). Which is bigger: x or 52? 52 Suppose 0*c - 2371 = 3*z + 4*c, 5*z + 3961 = -2*c. Is z smaller than -793? False Let h = 2975.97 + -2959. Let b = h + -17. Let q = b + -1.97. Which is smaller: -7 or q? -7 Let o = -1018.61 - -1019. Is 2 <= o? False Let z = -60 + 25. Let i be (2 + -1)/((-10)/z). Is 5 bigger than i? True Let b = -49.2 + 51.31. Let j = -0.41 + b. Let w = -9.7 + j. Which is greater: w or 1? 1 Let d be 4 + -4 + 1 + -1. Suppose d = -g + 5 + 4. Suppose -o = 5*i - 0*i - 7, 2*o = -5*i + g. Is i at most as big as 2/11? False Let j = 1.44 - 0.83. Let t = -5.61 + j. Which is greater: 2 or t? 2 Let a = -181 - -192. Let c = 15 - 17. Are c and a equal? False Let j = 869 - 2557/3. Which is smaller: j or 16? 16 Suppose -49*l - 712 = -57*l. Are l and 86 unequal? True Suppose 2*n = 5*f - 7, 2*f + 24 + 2 = -4*n. Which is bigger: 5 or n? 5 Let d = -1 + 4. Suppose -w + 2*b + 1 = -0, 3*w - d*b = 9. Suppose -w*c + 12 = -13. Which is greater: 7 or c? 7 Let t = -22 + 5. Let o be t + ((-12)/(-4))/(-3). Let m be o/(-54)*(-4 + 1). Which is smaller: m or 1/10? m Let r = -37 - -61. Is r != 0.2? True Let p be ((-69)/115)/(2/(-146)). Which is bigger: p or 44? 44 Let d be 13 + -16 + (-1 - -1). Let n be 1/d + 504/54. Let a(o) = -o**2 + 11*o - 17. Let g be a(n). Is g at least as big as -1? True Let t = 6671152/693 - 86690/9. Let w = 2983/440 - 53/40. Let o = w + t. Which is smaller: o or 4? o Let g = 2072.8 - 2074. Let a = 0.01 - -0.29. Which is smaller: a or g? g Let v be (-2)/5 + 611/65. Let b be 3/(v/(-6)) - -79. Let f = 845/11 - b. Which is greater: f or -2/3? f Let x(a) = -24*a**2 + 31*a + 32. Let l be x(-1). Suppose -118 = 5*c + s, -2*c + 3*s = 3*c + 126. Is l >= c? True Let l be 6/(-90)*-27 - 2. Let k = 2 - 0. Is l >= k? False Let k = -8 + 14. Let t(n) be the third derivative of -n**5/30 + 7*n**4/24 + 4*n**3/3 - 8*n**2 + 6. Let y be t(k). Is -22 > y? False Let o be 1/(-3*5/(-2130)). Are 144 and o equal? False Suppose 5*o = 13*a - 11*a - 25, -31 = -3*a + o. Is 103/10 less than or equal to a? False Let c(x) = 46*x - 295. Let v be c(7). Which is smaller: v or 35? v Let b = -8265/88 - -699/8. Let s = 382/55 + b. Which is smaller: -1/5 or s? -1/5 Let g = 66.002 - 66. Let x = g + -6.002. Is -0.6 >= x? True Suppose 2*k = 5*x - 29, -8*x = -4*k - 7*x - 31. Is k at least -33/4? True Suppose 0 = -18*q - 2*q + 220. Let x(f) = 2*f - 25. Let j be x(q). Let g be 5*1/(-4) + -1. Which is smaller: j or g? j Let s be (15 - (-7905)/(-525))*(-5)/(-83). Is s less than -1? False Let a = 774 - 791. Do -20 and a have different values? True Let h = -41 + 327/8. Let p be (-45)/(-10) - 4 - (-6)/(-4). Is p smaller than h? True Suppose -4*x + 838 = 2*i, 3*i - 8 = -5. Which is greater: 207 or x? x Suppose 94 + 10 = 26*q. Which is smaller: 50 or q? q Let u = -20 + 28. Suppose -3*b - 5*x = -6, 3*x - 8 = -2*b - 3. Is b greater than u? False Let u = 12 + -9. Let f be -5 + 0*5/15. Let r = u + f. Which is greater: -12/13 or r? -12/13 Suppose 0 = -t + 8 - 10. Let s be (t/228)/(7/28). Which is bigger: s or 2/5? 2/5 Let v = -0.0699 + -0.0301. Let q be 62/(-4) + 1/(-2). Which is smaller: v or q? q Let t be ((-8)/(-165))/(24/(-40)). Let g = 1/99 - t. Let l(v) = v**2 - 2*v - 1. Let f be l(2). Is f greater than or equal to g? False Let v = -37 + 147/4. Let z = -3.82 + 4.2. Let l = z - 8.38. Which is greater: v or l? v Let b be -1 + 36 - (1 + -3). Suppose 16*n - 242 = 334. Are b and n non-equal? True Let g be 2/21 - (-125255)/987. Is 126 less than or equal to g? True Let p be (4/8)/(1/(-12)). Suppose -26 = -2*w - 2*g + 60, 0 = -5*w - 3*g + 217. Let i be (12/w)/(p/8). Is i <= 1? True Let n = -4 - -12. Let z = 1 + n. Let k = -10 + z. Do k and -1/2 have the same value? False Suppose 19*h - 212 = 16*h - 2*g, -5*h = -g - 349. Which is smaller: h or 64? 64 Suppose b = -d, 22*d = 21*d + 4*b - 10. Is d < -2.6? False Suppose -x + 0*m = 4*m, -3*x + 5*m = 0. Suppose j - 2 - 1 = x. Let s be 6/(-7 - 153/(-18)). Is s > j? True Let l = 195 + -1559/8. Do l and 0 have the same value? False Let j = -18.35 - 2.65. Is j <= 0? True Let x = 23/3 - 842/111. Let s be (0/2)/(((-22)/(-1))/(-11)). Which is smaller: x or s? s Let k(r) = -r**3 + 6*r**2 + 7*r + 2. Let c be k(7). Let t be 2 + 1 + 0 - c. Is t > -1/10? True Suppose -z + 11 = 3*t, 3*t - 3*z - 2 = 13. Let h = 103/12 + -35/6. Which is smaller: t or h? h Let s = 12 - 7. Let a be (-4)/(-8)*(-2)/7. Which is smaller: s or a? a Let l be 33/(-11) + 206*-3. Let s = -1217/2 - l. Is 12 > s? False Let m be (-602)/(-369) + (-74)/(-333). Which is smaller: m or 1? 1 Suppose -3*w = -h + 11, -21 - 2 = 3*h + 5*w. Let r = h + -3. Let i be 9/r - 4/(-2). Is -0.06 bigger than i? True Let k be 642/(-1602) - (-1)/3. Let d = 658/801 - k. Is 1 greater than or equal to d? True Let i = -2287019/461 - -4961. Is i at most as big as 1? True Let n(p) = 6*p + 27. Let s be n(23). Let k = s + -2971/18. Which is smaller: -1 or k? -1 Let v = 165 - 56. Is 109 greater than v? False Let t(c) be the second derivative of c**4/12 + c**3/6 - c**2/2 - 2*c. Let a be t(2). Let x(q) = 2*q - 8. Let b be x(a). Which is smaller: b or 11/4? b Let w = -24.045 + 0.045. Let q = w + 32. Let l be (-3)/2*1/(-3). Are q and l unequal? True Let t be (3/2 - 2) + 5/2. Let k be t/(-156)*-34 - 4/6. Let l = 3 + -2. Which is smaller: k or l? k Let f be (2/3)/((-860)/210 + 4). Which is smaller: 7 or f? f Let h be (-26)/(-6) - (-14)/21. Suppose 0 = -5*d + h*n + 85, d + 5*n = 2*d - 29. Suppose -4*o - m - m + d = 0, -5*m + 22 = -3*o. Which is smaller: 2/9 or o? 2/9 Let v = 21.18 + -21. Let w = v + -0.58. Let l = 0.5 + -0.6. Is w < l? True Let f = 70/13 - 18576/3445. Are 0 and f equal? False Let d = -31 + 37. Suppose d*g - 15*g = 0. Is g less than or equal to -9/11? False Let k(u) = u**3 - 13*u**2 - 15*u + 14. Suppose 2*f + 3*f - 70 = 0. Let l be k(f). Which is smaller: l or -1/81? -1/81 Suppose -4*v + 5*s = -30, -4*v + 2*v + 4*s + 12 = 0. Let x be (-14)/10*v/12. Which is smaller: 0 or x? x Let k(d) = -d**2 - 10*d - 24. Let t be k(-6). Are 1/1204 and t equal? False Let n be 16/(-2) + (21 - 17). Let u be n/2*13/(-26). Do 12/11 and u have the same value? False Suppose 5*s - 25 = 0, 2*o + o + 2*s - 40 = 0. Let t(v) be the second derivative of -v**3/6 + 9*v**2/2 - 2*v. Let c be t(o). Is 2/39 >= c? True Suppose -a = a. Suppose a = 2*c - 4*c. Let q be (c/1)/((-6)/(-3)). Which is smaller: -3/16 or q? -3/16 Suppose -15*w = -19*w + 24. Let t be 1/w - 102/1044. Do t and 1 have the same value? False Let n = 173 + -177. Let p(j) = -6*j - 8. Let c(w) = 5*w + 8. Let x(i) = -7*c(i) - 6*p(i). Let b be x(n). Which is smaller: -13 or b? -13 Let n be 1*24/16 + 531/(-386). Is n at most as big as -1? False Let g = 0.9 - 1.9. Which is greater: g or 43? 43 Suppose -251 = -3*h + 217. Does 155 = h? False Let a(k) = 16*k + 779. Let i be a(-32). Are 266 and i non-equal? True Let d = -0.08
{ "pile_set_name": "DM Mathematics" }
3 + 119220*q**2 wrt q. -99702 Differentiate 277574*t**2*u**4 + 61111*t**2 - 3 with respect to u. 1110296*t**2*u**3 Find the third derivative of -11*o**6 + 70*o**4 - 7*o**3 - 32*o**2 - 175*o + 2 wrt o. -1320*o**3 + 1680*o - 42 What is the second derivative of 128*h*m*y**2 - h*m*y + 2*h*m + h*y**2 + 195*h*y - m*y**2 - m*y - 321*y**2 - 92*y wrt y? 256*h*m + 2*h - 2*m - 642 Find the third derivative of 221597*f**5*q**3 + 23*f**2*q - 3*f*q**3 + 4*q**3 - 22*q wrt f. 13295820*f**2*q**3 Find the third derivative of 12743*z**3 - 20062*z**2. 76458 Find the second derivative of 2*i**2*m*p - 14*i**2*m - 11*i**2*p**3 - i*m - 2*i*p**3 + 3*i - 2*m*p**3 + 33*p**3 wrt i. 4*m*p - 28*m - 22*p**3 Find the third derivative of -2*h*u**4 - 5784*h*u**3 - h*u + 7*h + 2*u**2 - 352*u wrt u. -48*h*u - 34704*h Differentiate 59*n**2*t - 2362813*n**2 + 640*n*t wrt t. 59*n**2 + 640*n Find the third derivative of 764468*d**4 - 57*d**2 + d - 1250 wrt d. 18347232*d Find the second derivative of 27085*u**2 - 902968*u wrt u. 54170 Find the first derivative of 92973*i*z + 20292*z wrt i. 92973*z What is the second derivative of -82909*q**3*x**3 + 4*q*x**2 - 9920*x**3 wrt q? -497454*q*x**3 Find the third derivative of 1788*k**6*z - k**3*z**2 + 5*k**3 - k**2*z - k**2 + k*z**2 + 539*k - 20*z**2 wrt k. 214560*k**3*z - 6*z**2 + 30 Find the third derivative of -9*w**5 + 5687*w**4 + 1360479*w**2 - 2*w wrt w. -540*w**2 + 136488*w What is the second derivative of -47639*g**2*k**4 + 89*g**2*k - 8*g**2 - g - 4*k**5 + 41 wrt k? -571668*g**2*k**2 - 80*k**3 What is the third derivative of 96*a*y**4 + 30*a*y**3 - 23*a - 2*y**4 + 871*y**2 + 2*y wrt y? 2304*a*y + 180*a - 48*y What is the second derivative of -9*n**2*o**2 - 1568*n**2 - 27519*n*o**2 - 10*o - 9 wrt o? -18*n**2 - 55038*n What is the second derivative of -1801191*m**3*w**2 - 373*m**3*w - 2*m**3 + 809*m*w wrt w? -3602382*m**3 What is the derivative of -3*n*u**2 - 1136*n - 4696*u**2 - 3 wrt u? -6*n*u - 9392*u What is the first derivative of -112509*y**2 - 120394? -225018*y What is the first derivative of -2*g*u**3 - 6*g*u**2 + 1397*g*u + 8*u**3 - 3077*u + 1 wrt g? -2*u**3 - 6*u**2 + 1397*u What is the third derivative of -6646*i**3*p**2 - 2*i**3 - 2*i**2*p - i*p**2 + 7166 wrt i? -39876*p**2 - 12 What is the third derivative of -24023*t**4 + 19*t**3 + 10688*t**2 + 2*t + 7 wrt t? -576552*t + 114 Find the second derivative of -8*j**2*o**3 + 62*j**2*o + 8*j**2 - 139*j*o**3 + j + o + 37 wrt j. -16*o**3 + 124*o + 16 What is the third derivative of 240502*m**3 + 4*m**2 - 224*m - 10? 1443012 What is the first derivative of -22*b**2 + 11060*b + 4499071? -44*b + 11060 Find the first derivative of 1418*j**2 - 9*j - 45480 wrt j. 2836*j - 9 Find the first derivative of -q**4 - 23671*q**2 + 119542 wrt q. -4*q**3 - 47342*q Find the second derivative of -698*h*o**3*r**2 + h*o**3*r + 47*h*o**3 - 13*h*o**2*r - 2*h*o*r - 36*o**3*r**2 - 3*o*r wrt r. -1396*h*o**3 - 72*o**3 Find the third derivative of -7331*a**4 - 3*a**3 - 17597*a**2 wrt a. -175944*a - 18 Find the second derivative of 557*o*p**2 - o*p*u + 1386*o + 7*p**2*u + p*u wrt p. 1114*o + 14*u Find the second derivative of 4080*i**3 - 8*i**2 - i - 20858 wrt i. 24480*i - 16 What is the second derivative of 25*b**3*l**3 + 56449*b**3*l + b*l - 1025*l**2 wrt l? 150*b**3*l - 2050 Differentiate 452917*k*s + 1321416*k with respect to s. 452917*k Find the first derivative of -1160*j**2 - 33*j - 1009862. -2320*j - 33 What is the second derivative of -708148*r**2*v**4 - 4*r**2*v - r**2 - 2*r*v**5 + 95*r*v + 2*v - 5 wrt v? -8497776*r**2*v**2 - 40*r*v**3 Find the third derivative of -58942*o**3*t - 129*o**2*t + 10*o - 2*t wrt o. -353652*t Find the second derivative of -3855*d**4 - 26*d**2 - 2*d + 11098. -46260*d**2 - 52 What is the second derivative of -1274*c**4 + 7*c**2 - 3544*c wrt c? -15288*c**2 + 14 Find the third derivative of -1542*h**2*w**5 - 2*h**2*w**3 - 70*h**2*w**2 - 258*h**2 wrt w. -92520*h**2*w**2 - 12*h**2 What is the second derivative of -118*h**2*r**2 - 7272*h**2 - 2741*h*r**2 + 171*h wrt h? -236*r**2 - 14544 Differentiate 808*s**4 + 540*s**3 - 4010583 wrt s. 3232*s**3 + 1620*s**2 Find the third derivative of -4*n**4 + 207951*n**3 - 2*n**2 - 60619*n + 1 wrt n. -96*n + 1247706 What is the derivative of -213*v**2 + 5947387? -426*v What is the derivative of -80*a**2*w - 234*a**2 + 2*a - 2*w**2 + 65*w + 4 wrt w? -80*a**2 - 4*w + 65 What is the third derivative of -2*m**6 + 2440*m**5 - 16*m**2 - 39? -240*m**3 + 146400*m**2 Find the second derivative of -339363*d**3 + 368915*d. -2036178*d Find the third derivative of 16918*n**4 + 21*n**3 - 4*n**2 - 6485*n + 3 wrt n. 406032*n + 126 What is the derivative of 91917*v + 93393? 91917 Find the third derivative of -404*k**3*v**4 + k**3*v**3 - 21409*k**3 - 200*v**3 + 50*v**2 wrt v. -9696*k**3*v + 6*k**3 - 1200 Find the first derivative of -21127*v**2 + 28134. -42254*v What is the first derivative of -12*j**2 - 1351*j - 50709 wrt j? -24*j - 1351 What is the derivative of -50967*p + 18405? -50967 What is the first derivative of 418140*g - 998783? 418140 Find the first derivative of -34*h*i**3 - 30*h*i**2 + 86*h*i + h + 2143933 wrt i. -102*h*i**2 - 60*h*i + 86*h What is the first derivative of 2881598*m**4 + 2940849? 11526392*m**3 Differentiate 4547876*w**2 + 2185857. 9095752*w Find the second derivative of 60*k**4 + 5*k**3 - 12*k**2 - 91042*k wrt k. 720*k**2 + 30*k - 24 What is the second derivative of -691023*x**3 - 2*x + 299582 wrt x? -4146138*x What is the first derivative of a*f*p**2 + 7099*a*f*p - a + 129*f*p**2 + 76*f*p wrt a? f*p**2 + 7099*f*p - 1 Find the third derivative of 6692*y**3 - 19*y**2 - 365. 40152 Find the first derivative of 128007*q**4 + 18538 wrt q. 512028*q**3 Find the second derivative of 8*i**3*l**2 - 7*i**3 - 545*i**2*l**2 - 16*i*l**2 + 2*i*l + 2*l**2 - 695 wrt i. 48*i*l**2 - 42*i - 1090*l**2 Differentiate -351284*a**2*u - 669731*a**2 with respect to u. -351284*a**2 What is the second derivative of -21*a**4 - 13027*a**2 + 2068425*a wrt a? -252*a**2 - 26054 Differentiate -27*s**4 + 6388*s + 223415 with respect to s. -108*s**3 + 6388 What is the second derivative of -1281058*y**3 + 35259*y + 6 wrt y? -7686348*y What is the second derivative of -612360*j**2 + 46*j + 4513? -1224720 What is the second derivative of r**2*s**3 + 27520*r**2 + 2*r*s + 9004*s**3 wrt s? 6*r**2*s + 54024*s Differentiate -107*n**2*x - 3*n**2 - 5*n*x - n - 30897*x wrt n. -214*n*x - 6*n - 5*x - 1 What is the third derivative of 1211*b**3*w**3 + 129*b**3*w**2 + 14*b**2*w**3 - 46*b**2*w**2 - 3*b**2 - w**3 - 61*w**2 wrt b? 7266*w**3 + 774*w**2 What is the second derivative of r**4 + 8603*r**3 + 83700*r? 12*r**2 + 51618*r What is the third derivative of -396*t**3*u**2 + t**3*u + 15*t**3 + 144962*t**2*u**2 wrt t? -2376*u**2 + 6*u + 90 Find the second derivative of -59877*k**2 - 11*k + 1233. -119754 What is the third derivative of 6550*a**6 + 315*a**4*r - a**2*r + 2*a**2 - 30*a - 27*r - 36 wrt a? 786000*a**3 + 7560*a*r Find the second derivative of 210145*j**3 + 511*j + 2. 1260870*j What is the third derivative of -2217720*i**3*t**3 + 14*i**3*t**2 + 2*i**3*t - 15*i**3 - 286*i**2*t + 1 wrt t? -13306320*i**3 What is the third derivative of -287*g*u*z**4 + 2*g*z**3 - 3*g*z**2 + 5*g - 7*u*z**4 + 77*u*z**2 + 6*u*z wrt z? -6888*g*u*z + 12*g - 168*u*z Find the first derivative of m**4 + 37174*m**3*x**2 + 4*x**2 + 7153*x wrt m. 4*m**3 + 111522*m**2*x**2 What is the third derivative of 3*d*v**4 + 7*d*v**3 + 248573*d*v**2 - 148*v**4 - v**3 wrt v? 72*d*v + 42*d - 3552*v - 6 Find the third derivative of -111*b**3*c*q**3 - 1447*b**3*c - 2185*b**3*q**3 - 2*b**3 - 3*b**2*c*q**2 + q**2 wrt q. -666*b**3*c - 13110*b**3 What is the second derivative of 2*l**5 - 35496*l**3 - 93679*l? 40*l**3 - 212976*l What is the third derivative of -37003*m**3 - 127371*m**2 wrt m? -222018 What is the first derivative of l*w - 5623*l - 116020*w wrt l? w - 5623 What is the third derivative of -82199*v**3*w**2 - 84430*v**2 - 3*v*w**2 wrt v? -493194*w**2 Find the second derivative of -a**3 - 599273*a**2 - 3517*a - 75. -6*a - 1198546 Find the third derivative of 1339165*o**6 + 34442*o**2 + 6 wrt o. 160699800*o**3 What is the second derivative of -1397*c**3*q**2 - 2*c**3*q - 244*c**3*s - 403*c**3 - 2*c**2*q*s +
{ "pile_set_name": "DM Mathematics" }
, z: 2}. 2/5 Calculate prob of picking 1 v and 2 n when three letters picked without replacement from {z: 2, n: 1, v: 1, h: 1}. 0 What is prob of picking 1 u and 2 o when three letters picked without replacement from {v: 3, o: 6, u: 8}? 3/17 Three letters picked without replacement from debbbdbebebq. Give prob of picking 3 e. 1/220 Four letters picked without replacement from {z: 2, i: 2, y: 4}. Give prob of picking 1 z and 3 y. 4/35 Three letters picked without replacement from rboneto. Give prob of picking 2 o and 1 t. 1/35 Four letters picked without replacement from {s: 3, j: 1, p: 2, g: 1, v: 13}. What is prob of picking 2 s, 1 g, and 1 v? 13/1615 Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {r: 1, u: 4, p: 1, a: 4, n: 1, f: 4}. 4/105 Two letters picked without replacement from {e: 1, i: 2, z: 1, l: 1, c: 2}. What is prob of picking 1 c and 1 l? 2/21 Three letters picked without replacement from {i: 4, d: 6, p: 4, r: 1, l: 2}. What is prob of picking 3 p? 1/170 What is prob of picking 2 s when two letters picked without replacement from susuuuusuuuuuuusuuus? 1/19 What is prob of picking 2 y when two letters picked without replacement from {y: 3, u: 4, o: 2}? 1/12 Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {r: 6, x: 2, m: 6, o: 1, u: 2}. 1/680 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 1, c: 2}. 2/3 Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {v: 2, p: 2, b: 1}. 2/5 Three letters picked without replacement from mmmjjmmjgjjgmgmg. Give prob of picking 3 m. 1/16 Three letters picked without replacement from {f: 2, m: 1, p: 3, a: 1, y: 3, j: 2}. Give prob of picking 1 y, 1 f, and 1 j. 3/55 Two letters picked without replacement from {w: 1, e: 1, i: 2, z: 1}. Give prob of picking 1 z and 1 w. 1/10 What is prob of picking 1 f and 1 q when two letters picked without replacement from ofmmuhq? 1/21 Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {f: 6, m: 1, s: 2, r: 4}. 3/143 Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {n: 1, y: 1, u: 1, r: 1, g: 2, z: 1}. 1/21 What is prob of picking 2 s and 2 u when four letters picked without replacement from {n: 1, s: 2, e: 1, u: 4, g: 3}? 1/55 What is prob of picking 1 r and 1 e when two letters picked without replacement from lrrrbrrbrevb? 1/11 Three letters picked without replacement from {j: 5, r: 13}. What is prob of picking 3 j? 5/408 Two letters picked without replacement from wwwwwwwjwcjwji. Give prob of picking 1 w and 1 c. 9/91 Calculate prob of picking 1 f and 2 q when three letters picked without replacement from fqqqqqqqqqfqq. 5/13 Two letters picked without replacement from {l: 6, x: 1, i: 2, r: 4}. Give prob of picking 2 i. 1/78 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from jnfj. 1/6 Four letters picked without replacement from {j: 5, x: 3}. Give prob of picking 4 j. 1/14 What is prob of picking 2 l, 1 p, and 1 i when four letters picked without replacement from {i: 1, l: 3, p: 1}? 3/5 Four letters picked without replacement from {v: 4, o: 2, h: 6}. What is prob of picking 2 h and 2 v? 2/11 What is prob of picking 2 u and 1 o when three letters picked without replacement from {z: 6, u: 6, y: 2, r: 3, o: 2}? 10/323 Two letters picked without replacement from hvvvvvvvvhvvvvhhvv. What is prob of picking 2 v? 91/153 What is prob of picking 1 x and 1 z when two letters picked without replacement from zzuxu? 1/5 Calculate prob of picking 3 l when three letters picked without replacement from slsslsllll. 1/6 What is prob of picking 2 s when two letters picked without replacement from {n: 1, g: 1, s: 5, d: 1, h: 1, y: 5}? 10/91 Four letters picked without replacement from ajvddojoaojjjooajjo. Give prob of picking 1 a, 1 o, 1 j, and 1 v. 21/646 What is prob of picking 2 w and 1 l when three letters picked without replacement from llllllwllllwllllll? 1/51 Two letters picked without replacement from bnbnbn. Give prob of picking 1 n and 1 b. 3/5 Two letters picked without replacement from {s: 3, y: 4, p: 1, q: 1, m: 2, a: 4}. Give prob of picking 1 a and 1 s. 4/35 Three letters picked without replacement from mmrrrmrmrrrm. Give prob of picking 3 m. 1/22 Calculate prob of picking 1 s, 1 b, and 1 h when three letters picked without replacement from sgsssggngbh. 4/165 Four letters picked without replacement from {b: 4, g: 2, x: 3, w: 2, v: 1}. Give prob of picking 2 w and 2 g. 1/495 Four letters picked without replacement from wiqiizqgwzzwiwqzixxq. What is prob of picking 1 q and 3 i? 8/969 Three letters picked without replacement from {x: 2, k: 3, w: 2, m: 3, d: 4, a: 4}. What is prob of picking 1 w and 2 a? 1/68 Calculate prob of picking 4 v when four letters picked without replacement from vtvttvvvvtvtvvvgvt. 11/102 Two letters picked without replacement from {h: 1, q: 6, k: 4, o: 2}. What is prob of picking 2 q? 5/26 Calculate prob of picking 2 g and 1 n when three letters picked without replacement from gqgcngcqwnqh. 3/110 Four letters picked without replacement from sedsdaadzzdddezae. What is prob of picking 2 a and 2 e? 9/2380 Four letters picked without replacement from yyvydvyvydyyyydvyvwy. Give prob of picking 3 v and 1 y. 22/969 Three letters picked without replacement from {x: 2, z: 4, i: 8, s: 2, o: 1, n: 2}. What is prob of picking 1 i, 1 o, and 1 s? 16/969 What is prob of picking 2 v and 2 x when four letters picked without replacement from {v: 1, u: 3, x: 1, j: 2}? 0 Two letters picked without replacement from ydycvdbrc. Give prob of picking 1 c and 1 v. 1/18 Four letters picked without replacement from bybbbybbyybbyyybyby. Give prob of picking 4 y. 21/646 What is prob of picking 2 o and 1 j when three letters picked without replacement from {j: 1, n: 2, s: 2, o: 6, m: 1}? 3/44 What is prob of picking 1 g and 1 d when two letters picked without replacement from dhdtg? 1/5 Four letters picked without replacement from {c: 2, s: 2, b: 1}. Give prob of picking 1 c, 2 s, and 1 b. 2/5 Four letters picked without replacement from twkwcccwccwpc. What is prob of picking 3 w and 1 t? 4/715 What is prob of picking 2 a when two letters picked without replacement from qayayyqyy? 1/36 Three letters picked without replacement from jzrdrllrrd. Give prob of picking 2 l and 1 z. 1/120 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from zhxxhxghhzxzhhwhxhx. 16/57 Four letters picked without replacement from utcutmt. What is prob of picking 1 m, 1 u, and 2 t? 6/35 Four letters picked without replacement from {e: 3, g: 1, x: 3, f: 1, b: 2, q: 1}. Give prob of picking 1 b and 3 e. 1/165 Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, w: 11}. 1/364 Two letters picked without replacement from {d: 3, w: 4, u: 4, p: 7}. Give prob of picking 2 p. 7/51 Two letters picked without replacement from lplld. Give prob of picking 1 p and 1 l. 3/10 Three letters picked without replacement from plavavhvvahvvphvpl. What is prob of picking 2 a and 1 v? 7/272 Four letters picked without replacement from {b: 1, p: 7}. Give prob of picking 3 p and 1 b. 1/2 Four letters picked without replacement from {o: 2, f: 10, y: 2}. Give prob of picking 2 o and 2 y. 1/1001 What is prob of picking 1 m and 1 g when two letters picked without replacement from zgmz? 1/6 Three letters picked without replacement from {d: 2, t: 10, f: 4}. Give prob of picking 3 f. 1/140 Calculate prob of picking 3 k when three letters picked without replacement from uukutvkuku. 1/120 Two letters picked without replacement from {t: 3, b: 1, q: 1}. What is prob of picking 2 t? 3/10 What is prob of picking 2 s when two letters picked without replacement from sswsgcgccscsgq? 10/91 Three letters picked without replacement from ddssdmsdddsms. What is prob of picking 2 s and 1 m? 10/143 What is prob of picking 2 w and 1 b when three letters picked without replacement from {w: 7, b: 1}? 3/8 What is prob of picking 2 a and 1 s when three letters picked without replacement from assuassuususssuuus? 3/272
{ "pile_set_name": "DM Mathematics" }
2)/4*-1)/(20/(-8920)). Let j = k + 897/4. Let n = -1 + 1.2. Does n = j? False Let n be -146 + 0 + (1 - 2). Let t = 75 + -183. Let j = t - n. Is j bigger than 40? False Let b(y) = -17*y - 61. Let v(i) = -2*i**3 + 6*i**2 - 2*i + 1. Let o be v(3). Let s be b(o). Which is greater: s or 26? 26 Let p be (25/(-55))/(0 - 1). Let m be 6*(1 - (-30)/9). Let f = m - 27. Is p != f? True Let a(k) = -k**3 + 5*k**2 + 7*k + 5. Let d be a(6). Let m be 436/(-110) - (7 - d). Let b(t) = -t**3 - 20*t**2 - 19*t. Let j be b(-19). Is m less than j? False Suppose 46*z = -47*z + 89 + 4. Which is bigger: 2/14433 or z? z Let l = -15604 + 15829. Are 219 and l equal? False Let g(w) = 49*w - 1. Let u be g(-2). Let y be ((-56)/30 + 2)/(u/55). Let a = -21 + 22. Is y at most a? True Let t be (377/(-14) - -3)*(5 - 348/60). Are t and 19 non-equal? True Suppose 0 = f - 5*c - 14, 5*c + 43 = 5*f + 7*c. Let t be ((-48)/(-60))/(f/(30105/(-6))). Which is bigger: -445 or t? -445 Suppose f - 10 = -8. Suppose -f*m + 15 = 5*s - 3, 0 = 3*m - 2*s + 11. Is m less than -2/995? True Let z be (-2 - -2) + (2 - 398). Suppose 151*d = 2*d - 59004. Is d less than z? False Let z(b) = b**3 - 5*b**2 - 7*b + 5. Let d be z(6). Let h(m) = -7*m - 1. Let f be h(-5). Let i be f/(-36) + 3/6. Which is smaller: i or d? d Suppose 211*b + 3488 = 716*b - 4087. Suppose 11 - 5 = 3*h. Which is bigger: h or b? b Suppose 91*r - 30*r + 104*r = -4*r. Does r = 3/797? False Suppose 78*m - 1988 = 16*m + 244. Are 450/13 and m nonequal? True Let f(s) = -s**2 - 19*s - 79. Let z be f(-18). Let g(y) = -8*y**2 - 36*y + 11. Let p be g(-6). Are z and p nonequal? False Suppose -247*g + 245*g + 2*u + 9106 = 0, 0 = -4*g + u + 18218. Is g at most as big as 4555? True Let j = -35/108 - -2/27. Let m = 28.2 + -28.154. Which is greater: m or j? m Let w(n) = 161*n**2 - 1529*n + 22. Let b be w(9). Is b less than or equal to -696? True Let y = 830.3949 - 1.3949. Are y and -3/11 nonequal? True Let z be (-16)/8*-4 - 6. Suppose -2*u + 3*x + z = -17, 4*x + 7 = -u. Is -9 greater than u? False Let w = -69 + 75. Let p be 75/9*w/64*2. Let g = -113/16 + p. Is g bigger than -7? True Let v = 84 + 12. Let q = v + -213. Let z(t) = -t**3 - 20*t**2 + 6*t + 2. Let n be z(-20). Do n and q have different values? True Suppose -1528*u = -1518*u + 87090. Is u less than or equal to -8708? True Let l = 31 - 26. Let s be (14/l)/((-14)/(-35)). Are 18 and s equal? False Let l be 1233/(-19) + (-1 - 51/(-57)). Let b = -21 - l. Is b greater than or equal to 45? False Let o = -25 + 24.91. Let i = -0.1 - o. Let j = 197/120 + -49/24. Which is greater: j or i? i Let k = -2151451/56370 - 2/28185. Let h = -2515/66 - k. Is h bigger than -1? True Let d be (616/36)/2 - (-26 - -33). Which is smaller: -70 or d? -70 Let d = -33940 - -33919. Which is smaller: d or -291/13? -291/13 Let h be 9 - (10 + 96144/60). Is h < -1604? False Suppose -22961 - 20959 = -4*s + 16*s. Are s and -3659 equal? False Suppose -39*k = f + 182, 3*k + 899 = -4*f + 936. Let x(l) be the second derivative of l**3/3 + 5*l**2/2 + l. Let y be x(4). Do y and f have the same value? True Suppose 5*k - 2 = 7*k. Suppose 0 = 4*s + 2*v + 556, -4*s + 108 = -2*v + 688. Which is greater: k or s? k Let h be 1*2*3/2. Suppose h*a + 2*a = 0. Let q be -4 + (-198)/45 + 9. Which is smaller: a or q? a Let m(z) = 17*z**2 + 114*z - 12. Let u be m(-7). Suppose -5*w + 36 = -89. Which is smaller: w or u? u Let u be 35035/(-132) - (-6)/9. Let t = u - -183215/692. Is 0 greater than or equal to t? False Suppose 34*h = 4*n + 37*h - 178, 3*h - 132 = -3*n. Which is bigger: n or 657/14? 657/14 Let k be 4 - 15*(-18)/(-525)*7. Is 193.5 >= k? True Let y(m) = m**3 + 2*m**2 + 9*m - 24. Let g be y(2). Suppose -86 = -4*f - 38. Is g bigger than f? False Let w be 58*(-50)/80*4*-1. Suppose 5*r - 738 = 3*m - 15, 4*r - 2*m = 580. Which is greater: r or w? r Let l = 183/95 + -29/19. Which is smaller: l or 0.0402? 0.0402 Suppose -1665 = -4*z + 3*a, 2*a + 12 = -2*a. Let g be 9/(-2)*(-36)/z. Is 0 greater than g? False Let d = -1013 + 1010.842. Let a = 108.942 - d. Let g = 111 - a. Which is smaller: g or 11? g Let k(i) = i**3 - 42*i**2 - 3*i + 404. Let y be k(42). Is y equal to 214? False Let v = 16501.95 - 161.95. Is v < 0? False Let n = -0.26 - 7.74. Let b = 24 - n. Let z = b - 78. Are 0.1 and z equal? False Let w = 0.53 - 0.03. Let b = 3.5 + w. Let y = -4.17 - -4.67. Which is smaller: b or y? y Suppose -2*r - 5 - 5 = 0. Suppose -156*p + 7 + 500 = -117. Let j = r + p. Which is smaller: j or -5/4? -5/4 Suppose -q + 3*v - 4 = 4*q, -5*q + 5*v - 10 = 0. Let j = -13341 - -386949/29. Does j = q? False Let c = -175 - -563. Let q = -390 + c. Which is smaller: q or 1.2? q Let g(b) = -b - 66. Let i be g(-10). Let t be (i - -6) + -6*8/(-12). Is -181/4 < t? False Suppose -4*z = 2*m - 3302, 5532 = 5*z + 3*m + 1403. Suppose -670 - z = -9*q. Which is smaller: 165 or q? 165 Suppose -7*q + 15*q = 40. Suppose 0 = -q*x - 3*x + 1856. Suppose -5*l + x - 7 = 0. Is l greater than 44? True Let v(i) = 2*i + 16. Let y be v(7). Let s be -6 - y/(-5) - (1 - -36). Which is greater: s or -36? -36 Let t = 2999 + -2997. Which is bigger: t or 16/27? t Suppose -1989 = 90*f - 41*f - 32*f. Which is smaller: -112 or f? f Suppose -5*n = -2*k + 11, -2*n = k + 10 + 7. Let d = 949 - 881. Let j be (d/(-10))/((-45)/400*-8). Which is smaller: j or k? j Let d = -1.1956 - -0.1468. Let c = d + 0.0528. Let v = -0.004 + c. Are v and 57 equal? False Let d = -100 - 8. Let g = -110 - d. Which is smaller: -19/5 or g? -19/5 Let a be -12*5/((-5)/(-2)). Let h(n) = -15*n - 40. Let l be h(-4). Suppose -5 = d + l. Which is greater: a or d? a Let l = 31/69 - 224/345. Is l at least 343? False Suppose 2*y = -3*t - 3, t + 2*t = 5*y + 18. Suppose 0 = 19*p - 545 - 557. Let b be p/(-12) - (-7)/(-28)*-12. Which is smaller: b or y? y Let w = -2510 - -2457. Which is bigger: -0.02 or w? -0.02 Suppose -2 = 5*k - 12. Suppose -k*p + 396 = 16*p. Suppose 3*q + 1 = 4*s, 3*s + 5*q = 2*s - 17. Is s at least p? False Suppose 0 = -0*s - s - 115. Let m be ((-388)/(-132) - 3) + 2789154/(-24057). Which is greater: m or s? s Let h(v) = v**3 - 6*v**2 - 41*v - 29. Let m be h(13). Let z = m + -583. Which is smaller: 0.3 or z? 0.3 Suppose 0 = -46*q + 40*q + 3120. Is 520 bigger than q? False Let a be 2/(-8)*(-13 + 9). Is 8/1063 bigger than a? False Let i = 4147 - 3801. Which is smaller: i or 1034/3? 1034/3 Let t be (-12)/(-7) + 4/14. Let m be (-4)/46*((-4 - -1) + t). Which is smaller: m or 2/25? 2/25 Let j(a) = a**3 - 4*a**2 + a - 2. Let c be j(4). Suppose -v + 0*v - c*q = 0, 3*q = -4*v + 10. Let i(f) = 15*f - 23. Let o be i(v). Is 37 at least as big as o? True Let q be (-5)/(140/18)*2. Let t(b) = -b**3 - 12*b**2 - 10*b + 14. Let n be t(-11). Suppose -s = -n*y + 3*s - 20, 3*y - 10 = -2*s. Which is smaller: q or y? q Suppose s - 73*y = -76*y + 8, -5*s + 108 = -2*y. Which is greater: s or -6/43? s Let o = -18880 - -18879. Which is smaller: o or 8/49? o Suppose 2*a - 221 = -3*w, 2*a - 13*w + 10*w = 227. Which is smaller: a or 120? a Let o = 2.52 + -2.4. Let h = 53/253 + -9/23. Which is greater: o or h? o Let b(p) = -2*p**2 + 23*p - 61. Let o be b(7). Suppose 4*t = -5*i + 386, i = -7*t + o*t + 94. Suppose 5*u = 4*u. Which is bigger: u or i? i Let k = -10040 + 5357. Which is smaller: k or -4682? k Let o = -94 + 93.7. Let a = 4.16 - 4.02. Which is smaller: o or a? o Let v be ((-48)/(-18))/(1/3). Let o be 1/(-4 + (-34)/(-8)). Suppose -2*h = 2*w + o, -2*h + w + w = -v. Are h and -4/19 equal? False Let q = -319 + 732. Let z = -416 + q. Are z and -18 nonequal? True Suppose -y - 2*j - 19 = -3*j, 0 = y + 4*j - 6. Let r(p) = -p**3 - 14*p**2 - 3*p - 18. Let w be r(y). Let z = 24 - w. Is z at most as big as 5/6? True Let c(b) be the first derivative of b**3/3 + 3*b**2/2 - 54*b + 236. Let u be c(-9). Which is smaller: u or -35.6? -35.6 Let y = -1601 - -1141. Let q = 528 + y. Is 69 >= q? True Let k = -3 - -2. Suppose -46*j - 360 = 18408. Let u be 2 + -1 + -201*(-2)/j. Is k >= u? False Let y = -2 - -7. Let t(m) = -5*m + 3. Let i(f) = -6*f + 7. Let a(w) = -3*i(w) + 4*t(w). Let j be a(-6). Which is smaller: y or j? j Let c be (-3)/((-45)/6) - (-18)/5. Let b be 6*(2/(-6))/(2/c). Let u = 116 + -116. Is b bigger than u? False Suppose -6860 - 5291 = -84*f + 8597. Is
{ "pile_set_name": "DM Mathematics" }
nd 15. 15 Suppose -5*a + 41 = 3*b, -4*b - a + 62 = 2*a. Let y = 2967 + -2780. What is the highest common divisor of y and b? 17 Let p be 9*1 - (2 + (-11 - -8)). What is the greatest common factor of 40 and p? 10 Let o(x) = -x**3 - 4*x**2 - 2*x + 2. Let k be o(-2). Let l be (-8)/(64/(-210)) + k/8. What is the greatest common factor of 39 and l? 13 Let a(v) = 3*v**2 + 3*v + 3. Let q be a(-2). Suppose -5*l + g = -2*g - 150, 2*g = 2*l - 64. What is the greatest common divisor of q and l? 9 Let j = -114 + 249. Suppose -m + j = k, k - 5*k - 2*m = -550. Calculate the greatest common factor of k and 20. 20 Let b = -15 - -18. Suppose 5*h + 0*l - 157 = -2*l, b*l = 5*h - 177. Let r(o) = -2*o + 38. Let a be r(8). Calculate the greatest common factor of h and a. 11 Let c be (-7)/(-3) + 1/(-3). Let q = 12 - c. Let f(o) = -o + 78. Let v be f(38). Calculate the greatest common divisor of v and q. 10 Suppose -2*d - 3*d + l = -93, 3*d - 39 = -5*l. Let f be 17/(51/d)*12. Calculate the greatest common divisor of 120 and f. 24 Suppose -22 = -h + w, 3*h = -4*w + 3*w + 50. Let i = 39 - -15. What is the greatest common factor of h and i? 18 Let w = -85 + 823. Calculate the greatest common factor of w and 54. 18 Suppose -129 = -2*t + 7. Let g = -176 + 193. Calculate the greatest common divisor of t and g. 17 Suppose -57 = -0*n - 2*n - 3*j, 3*n + j - 75 = 0. Let b = 41 - n. Suppose -4*o + 6 = -2, 2*p - 28 = 3*o. What is the highest common factor of b and p? 17 Let s = -183 - -493. Calculate the greatest common divisor of s and 124. 62 Let r be 44/6*(34/4 - 7). Calculate the highest common factor of r and 66. 11 Suppose 0 = 2*h - 29 + 5. Let v(y) = 2*y - 2. Let l be v(h). Calculate the greatest common factor of 242 and l. 22 Let f be (-14)/(-2) + -1 + -1. Suppose 229 = 3*p - v, f*p + 143 = v + 522. Suppose 0 = z, 2*z + z + 120 = 4*t. Calculate the highest common factor of t and p. 15 Suppose 0 = -4*u - 16*r + 21*r + 3240, -u + r + 810 = 0. Calculate the highest common divisor of 324 and u. 162 Suppose 2*l - 6 = 2*c, -3*c + 31 = -2*l + 4*l. Let d(x) = 2*x + 2*x**2 + 2*x - 58 + 34. Let b be d(6). Calculate the highest common factor of l and b. 8 Suppose 33 = 3*s - 3*k, 0 = 39*s - 40*s + 2*k + 11. What is the greatest common factor of s and 869? 11 Let z = 109 + -76. Let n = -27 + z. What is the greatest common divisor of n and 2? 2 Suppose 869 = 4*n + 69. What is the highest common factor of 40 and n? 40 Suppose 3*h - 19 = -5*i, -i + 11 = -0*h + 3*h. Suppose -g + i = 2*r - 2*g, -r - 17 = -5*g. Calculate the greatest common divisor of 18 and r. 3 Suppose 2*c - 97 = -21. Let g = 22 - c. Let w be -2 + (2 - (g + 3)). What is the highest common factor of 104 and w? 13 Let d be (8*1)/(4/22). Suppose -12 - 12 = -6*h. What is the highest common factor of d and h? 4 Suppose -4*f - 5 = -137. Let z(h) = -h**3 + 4*h**2 + 2*h - 4. Let n be 2*(1 - 0) + 1. Let p be z(n). What is the greatest common factor of p and f? 11 Suppose -4*f + 29 = 5*v + 9, 5*f = 0. Let h(a) = -v - a**3 - 4*a**2 - a + 2*a - 3. Let w be h(-5). Calculate the greatest common divisor of 13 and w. 13 Suppose 35*y = 3*r + 33*y - 122, y + 39 = r. Calculate the greatest common divisor of r and 352. 44 Let f(w) = -w**2 - 11*w - 12. Let b be f(-9). Let k(u) = 23*u**2 + 1. Let a be k(1). Let v be a/7*(13 - b). What is the greatest common factor of v and 8? 8 Let c be (348 + 6)*18/12. Calculate the highest common factor of c and 9. 9 Let b(u) = 3*u - 2. Let z be b(6). Suppose -31*s = -83*s + 486 - 70. What is the greatest common divisor of z and s? 8 Suppose 5*b + 3 = -12. Let o be -1 - ((-4)/1 + b). Let m = o + 7. Calculate the greatest common factor of m and 13. 13 Suppose -5*p - 54 = 3*z, p - 4*p = -4*z + 15. Suppose -k + 19 - 6 = 0. Let c = k - p. Calculate the highest common factor of c and 198. 22 Suppose -t = -22 - 38. Calculate the greatest common factor of t and 150. 30 Suppose -3*o - 63 = -12*o. Calculate the greatest common divisor of 28 and o. 7 Suppose 15 + 17 = 4*x. Let t(z) = -2*z**3 - 3*z**2 + 2*z + 3. Let w be t(3). Let p be (w/5)/(8/(-40)). What is the highest common factor of x and p? 8 Let u = 1482 + -1477. What is the highest common factor of 1415 and u? 5 Suppose 3*p + p = a - 256, -5*p = 3*a - 802. Calculate the greatest common divisor of a and 99. 33 Let k be 85083/1975 - 2/25. Calculate the greatest common factor of 301 and k. 43 Let u(b) = -b**2 - 7*b - 7. Let l be u(-5). Suppose 4*c - 224 = 4*h, -h - l*h = c - 46. Let v = c + -30. What is the greatest common factor of v and 144? 24 Let b = -505 - -599. Calculate the highest common factor of 235 and b. 47 Let l(d) = -d**2 + 4*d + 5. Let s be l(4). Suppose s*g = 80 + 70. Suppose 22*i + 6*i - 232 = 328. Calculate the highest common factor of i and g. 10 Suppose o = 5*o - 123 + 15. Let v = -8 + 12. Suppose 0*u + 864 = v*u. Calculate the highest common factor of o and u. 27 Suppose -53*u = -114*u + 4758. Calculate the highest common factor of u and 182. 26 Let s = -284 + 583. Calculate the greatest common divisor of 13 and s. 13 Let z be 3/2*(-16)/3. Let l be (18/z)/(4 + 35/(-8)). Calculate the highest common divisor of 48 and l. 6 Let m = -175 + 308. What is the greatest common divisor of m and 57? 19 Let a = -2 - -6. Let v = 223 - 103. Suppose -2*w = a*b + w - v, -5*b + 5*w = -185. Calculate the highest common factor of b and 11. 11 Suppose -8 = -17*d + 13*d. Suppose -d*w = -4*y + y - 32, -w = -y - 18. Calculate the highest common divisor of 55 and w. 11 Suppose 4*i = -4*o + 256, -2*i + i + 5*o + 70 = 0. Suppose -64 = -4*x + 84. Suppose 89 = 2*a + x. What is the greatest common divisor of i and a? 13 Let f = 48 - 37. Let h(j) be the first derivative of j**3/3 + 2*j**2 + 6*j - 2. Let p be h(-5). What is the greatest common factor of f and p? 11 Suppose 0 = -0*t - 3*t, 3*r + 2*t + 6 = 0. Let d(p) = 4*p**3 + 3*p**2 + 4*p + 3. Let v be d(r). Let s = 129 - v. What is the highest common divisor of s and 14? 14 Let i be 70/(-30)*(-7 + -2). What is the highest common divisor of i and 49? 7 Let x = -1007 - -1062. Calculate the highest common divisor of x and 451. 11 Let j be 16/2 - 2 - 2. Suppose j*d + 116 + 208 = 0. Let y be d*(-5 + -1 + 3). Calculate the highest common factor of 27 and y. 27 Let w(v) = -v**3 - 5*v**2 + 6*v + 4. Let r be w(-6). Suppose -c = -5*p - 0*p - 47, 0 = 2*c - r. Let u = 0 - p. What is the greatest common divisor of 3 and u? 3 Suppose 0*u - 906 = 6*u. Let r = u - -291. What is the greatest common divisor of 28 and r? 28 Let a be 1/(3/(72/3)). Let g = 181 + -117. What is the greatest common factor of a and g? 8 Let f be 5 - 4*(-170)/40. What is the highest common factor of f and 7? 1 Suppose 7*v - 3*v - 4*g = 68, 0 = -3*v + 2*g + 50. Let k be 6*(1 + v/6). Let b(o) = -21*o + 176. Let p be b(0). Calculate the greatest common factor of k and p. 22 Suppose -42*c - 10 = -41*c. Let f(b) = 2*b**2 + 5*b - 10. Let j be f(c). Calculate the highest common factor of 56 and j. 28 Let k be (-11 + 448/35)/(3/40). Calculate the highest common divisor of k and 32. 8 Suppose -3*y = -87 + 48. Calculate the highest common factor of 299 and y. 13 Suppose -22*b + 175 + 749 = 0. What is the highest common divisor of b and 3066? 42 Let t(p) = 35*p**2. Let a be t(-1). Let j be 6/8 + (-20)/(-16). Suppose v - 3 - j = 0. Calculate the highest common divisor of a and v. 5 Suppose 0 = 5*d - 3*d - 4*b + 12, -d - 16 = -4*b. Suppose 5*v + p - 291 = 299, -4*p + 488 = d*v. Calculate the highest common factor of v and 13. 13 Let l(y) = 2*y + 4 + y + 0*y. Let k be l(3). Suppose 78 = 3*p - p. What is the highest common divisor of k and p? 13 Suppose -3*w - 740 = -0*v - 4*v, 3*v + w - 568 = 0. Calculate the highest common divisor of 47 and v. 47 Suppose 7 = k - 3*s, -12 = k - 2*k + 2*s. Suppose 0 = -3*x + 2*a + 61 - 5, -2*a + 98 = 4*x. Calculate the highest common factor of x and k. 22 Let z be 272 - ((-285)/(-133) + (-1)/7). What is the highest common factor of z and 72? 18 Let d(g) = -5*g**2 + 9*g - 24. Let a(i) = 4*i**2 - 10*i + 23. Let r(b) = -4*a(b) - 3*d(b). Let m be r(9). Calculate the greatest common factor of 192 and m. 16 Suppose 3*i + 2988 = 5*l, -2*l = -i + 656 - 1852. Calculate the highest common divisor of l and 225. 75 Suppose -2294 = -16*c - 15*c. What
{ "pile_set_name": "DM Mathematics" }
1. Let a(g) be the second derivative of 3 + 0*g**2 + 47*g - 7/6*g**3. What is h(a(p))? 91*p - 1 Let y(n) = -3*n**2. Let w(c) be the second derivative of 65*c**3/2 + 174*c - 3. Determine w(y(f)). -585*f**2 Let p(z) = 6*z**2. Let h(x) = 217*x**2 + 107*x**2 + 316*x**2 - 125*x**2 + 116*x**2. What is p(h(c))? 2388966*c**4 Let i(z) = 1. Let w(d) = -3*d - 35. Let m be w(-12). Let q(k) = 4*k - 6. Let v(r) = m*q(r) + 6*i(r). Let x(t) = -14*t. Calculate x(v(f)). -56*f Let h(c) = c**2 - 67*c. Let f(k) = 140 - 34 + k**2 - 42 - 64. Give h(f(g)). g**4 - 67*g**2 Let y(b) = -b**2. Let x(m) = -713*m - 723*m + 2264*m + 2095*m + 1879*m. Calculate x(y(a)). -4802*a**2 Let w(p) = -754*p**2 - 174*p - 5568. Let g(f) = -f - 32. Let o(x) = 174*g(x) - w(x). Let l(a) = 5*a**2. Determine o(l(b)). 18850*b**4 Let s(a) = -3*a. Suppose b + 5*k - 12 = 0, -4*k - 15 = -5*b + 16. Suppose 5*x + 5*c - 60 = 0, 5*x + 2*c = c + 60. Let h(w) = b*w - x*w + w. What is s(h(v))? 12*v Let l(q) be the second derivative of 0*q**2 - 7/2*q**4 + 17*q + 0*q**3 - 1. Let z(k) = -k**2. Determine z(l(m)). -1764*m**4 Let m(g) = 28*g. Let k(w) = 1676*w**2 - 445*w. Calculate k(m(u)). 1313984*u**2 - 12460*u Let v(t) = 13173*t + 20. Let i(b) = -2*b. Calculate i(v(l)). -26346*l - 40 Let k(x) = -8*x - 6. Let f(t) = -5*t - 8. Let z(j) = -3*f(j) + 4*k(j). Let r(s) = -2*s**2 + 7*s**2 + 2*s**2. What is z(r(w))? -119*w**2 Suppose -5*g = 5*f - 895, 3*f - 539 = -6*g + 5*g. Let w(u) = f*u - 54*u - 63*u - 56*u. Let r(s) = 3*s. What is r(w(m))? 21*m Let c(g) = 7554212*g. Let h(r) = 10*r. Give h(c(u)). 75542120*u Let p(j) = 1354390*j + 9. Let q(h) = 7*h. Give q(p(k)). 9480730*k + 63 Let z be -52 - ((0 - 0) + 6). Let t(m) = -6061*m**2 - 116*m. Let a(l) = -319*l**2 - 6*l. Let d(y) = z*a(y) + 3*t(y). Let i(s) = 2*s. Give i(d(x)). 638*x**2 Let n(z) = -3*z**2. Let b be (0 - 3)/((-5)/50). Let k = -28 + b. Let x(o) = -17*o**k + 4*o**2 + 2*o**2. Calculate n(x(s)). -363*s**4 Let y(c) = -c**2 - 6*c + 10. Let m be y(-7). Let j(i) = -i**2 + 0*i**2 + m*i**2. Let d(v) = 11094*v**2 - 5543*v**2 - 5550*v**2. Determine d(j(a)). 4*a**4 Let q(h) = -102*h**2 + 18591*h. Let g(u) = 2*u**2. Determine q(g(j)). -408*j**4 + 37182*j**2 Let h(r) = -9*r**2. Let d(p) = 5 + 1005*p - 4 - 1117*p. Calculate h(d(a)). -112896*a**2 + 2016*a - 9 Suppose -1881 = -3*b - o + 658, -4*b = -o - 3397. Let l(s) = 848 - 164*s - b. Let m(n) = -n**2. What is m(l(i))? -26896*i**2 Let h(i) = -2*i. Suppose 2*u - 5*x = 20, -2*u + 0*x - 2*x = -6. Let g(s) = 5*s - 439. Let v(d) = 8*d - 876. Let c(j) = u*g(j) - 3*v(j). Give h(c(l)). -2*l - 866 Suppose h - 3*i - 6 = 0, h + h - 3*i - 15 = 0. Let q(n) = -2*n + 9 - h. Let p(k) be the third derivative of -k**5/2 - 12*k**2 - 2. What is q(p(f))? 60*f**2 Let n(v) = 356*v**2 - v - 58. Let y(z) = -107*z - 1. Determine n(y(f)). 4075844*f**2 + 76291*f + 299 Let a(u) = 79788*u - 47. Let g(y) = -5*y. Give a(g(j)). -398940*j - 47 Suppose 0 = 136*h - 133*h - 879. Suppose 4*r - 103 = -4*k + h, -6 = 3*r. Let y(q) = -k*q**2 + 201*q**2 - 98*q**2. Let t(w) = 8*w + 1. Calculate y(t(z)). 128*z**2 + 32*z + 2 Let s(d) = 14*d. Let b(c) = 20*c**2 + 6*c - 58. Let l(t) = 20*t**2 + 5*t - 48. Let q(p) = 5*b(p) - 6*l(p). Give q(s(u)). -3920*u**2 - 2 Let s(i) = -203*i. Let r(g) = -3*g - 5. Let f(u) = -17*u - 15. Let d(y) = 2*f(y) - 6*r(y). Determine d(s(c)). 3248*c Let v(a) = 17*a**2. Suppose 20*k + 19971 - 20331 = 0. Let z(l) be the second derivative of 2/3*l**3 + 0*l**2 + 0 - k*l. What is z(v(y))? 68*y**2 Let d(c) = -123*c. Let f(q) = 216*q - 1358 - 215*q + 1392. Calculate f(d(x)). -123*x + 34 Let c(p) = -2*p**2 + 1415*p. Let y(f) = -7*f**2 - 3*f - 3. Let x(z) = 2*z**2 + z + 1. Let r(l) = 3*x(l) + y(l). Calculate c(r(i)). -2*i**4 - 1415*i**2 Let l(j) = -7*j. Let m(t) = t. Let f(h) = l(h) + 5*m(h). Let s be (7/2 + -4)*-14. Let q(y) = 25*y + 7*y - s*y + 15*y. Calculate q(f(u)). -80*u Let s(u) = 160*u. Let v(n) = -2157*n**2 + 58. Give s(v(t)). -345120*t**2 + 9280 Let u(i) = -22508*i. Let b(w) = 752*w - 14. What is u(b(x))? -16926016*x + 315112 Let u(w) be the first derivative of -5*w**2/2 - 2617. Let i(d) = 35*d - 5. What is u(i(q))? -175*q + 25 Let y(z) be the third derivative of 13/60*z**5 + 10*z**2 + 0 + 0*z + 0*z**4 + 0*z**3. Let h(u) = -u - 21 + 21. Give y(h(p)). 13*p**2 Let o(f) = -14*f - 2*f - 10*f + 33*f. Let u(r) be the third derivative of 3*r**2 + 0 + 0*r**4 + 0*r + 0*r**3 - 1/60*r**5. What is o(u(a))? -7*a**2 Let s(q) = 109*q**2. Let c = 250 + -220. Let v(i) = -10*i**2 - 13*i**2 + c*i**2 - 9*i**2. Give v(s(f)). -23762*f**4 Let x(q) be the second derivative of 7*q**5/30 - 87*q**2/2 + 2*q + 25. Let n(u) be the first derivative of x(u). Let l(s) = -9*s**2. Calculate n(l(k)). 1134*k**4 Let a(r) = -11729105*r. Let u(b) = -2*b. Determine u(a(k)). 23458210*k Let z(q) = q + 38. Let f(w) = 2079 - w + 2060 - 4139. Give f(z(g)). -g - 38 Let h(v) = -2*v. Let y(x) = -6*x + 148. Let c be y(19). Let o(t) = -5 + 46 + c*t + 13 + 9 - 32*t. What is o(h(z))? -4*z + 63 Let w(j) = 5931913*j. Let l(x) = -x**2 - 38*x. What is w(l(b))? -5931913*b**2 - 225412694*b Let z(m) = -2*m**2. Let o(w) = 38*w - 398. Determine o(z(r)). -76*r**2 - 398 Let u = 110 - 53. Let d(i) = 3*i - 1. Let v be d(1). Let s(f) = -u - f**v + 57. Let p(a) = -21*a. Determine p(s(b)). 21*b**2 Let b be (2/5)/((-9840)/(-1025)). Let y(g) be the third derivative of b*g**4 + 0*g + 0*g**3 + 12*g**2 + 0. Let k(p) = 9*p. Give k(y(h)). 9*h Let x(d) be the second derivative of -d**3/2 + 3*d. Suppose -2*v + 28 + 8 = 0. Let u(f) = -141 + v*f**2 + 275 - 134. Calculate u(x(k)). 162*k**2 Let a(o) be the second derivative of 551*o**3/6 + 2269*o. Let y(b) = 6*b. Give a(y(x)). 3306*x Let k(f) = -363*f. Let c(o) = 8675*o**2. What is k(c(q))? -3149025*q**2 Let a(f) = 2*f**2 + 22. Let l(p) = -126*p**2 + 54. What is l(a(n))? -504*n**4 - 11088*n**2 - 60930 Let l(j) = 73*j + 4. Let p(i) = 6*i**2 + 4. Let n(z) = 2*z**2 + 1. Let b(v) = 4*n(v) - p(v). What is b(l(y))? 10658*y**2 + 1168*y + 32 Let x(s) = 2*s. Let p(z) = 16. Let t(i) = 5*i + 47. Let m(k) = -p(k) + t(k). Determine x(m(f)). 10*f + 62 Let j(s) = 335912954*s. Let z(o) = -4*o. Give z(j(l)). -1343651816*l Let i(o) be the second derivative of -68*o**4/3 - 769*o. Let w(q) = -6*q**2. What is i(w(v))? -9792*v**4 Let k(y) = 6 + 16*y + 2 - y**2 - 8*y - 4. Let z(s) = -s**2 + 6*s + 3. Let l(q) = -3*k(q) + 4*z(q). Let b(f) = 10*f. Give l(b(r)). -100*r**2 Let w(u) be the first derivative of -7*u**2/2 + 255. Let v(m) = -20*m**2. Let i(n) = 5*n**2. Let z(h) = 25*i(h) + 6*v(h). Calculate w(z(r)). -35*r**2 Let p(w) = -11*w**2 - 15*w. Let m(o) = -15342*o**2. What is p(m(i))? -2589146604*i**4 + 230130*i**2 Let s(n) be the first derivative of 2*n**2 + 2. Let m(o) be the third derivative of -7*o**5/10 - 9165*o**2. Calculate s(m(z)). -168*z**2 Let f(i) = 112*i. Let v(n) = 1505 + 2*n - 4520 + 1506 + 1509. Calculate f(v(o)). 224*o Let r(q) = -26*q**2. Let a(g) be the first derivative of -g**5/60 - 37*g**3/3 + g**2/2 + 291. Let p(i) be the third derivative of a(i). Determine p(r(u)). 52*u**2 Let c(f) = -454*f. Let g(w) = -13827*w. Calculate g(c(o)). 6277458*o Suppose 330 - 281 = k. Let i(a) = -k + 42*a**2 + 106 - 57. Let h(x) = 3*x**2 - 5. Let u(n) = 2*n**2 - 4. Let o(m) = -4*h(m) + 5*u(m). Determine o(i(t)). -3528*t**4 Let h(v) = 4*v**2 - 6. Let l(n) = -1. Let z(k) = h(k) - 6*l(k). Let w(x) = 1 + 178*x - 1 - 198*x + 0. Determine w(z(f)). -80*f**2 Let p(z) = -z**2 + 2. Let k(q) = 6*q**2 - 273*q - 13. Let t(b) = -3*b**2 + 126*b + 6. Let r(c) = 6*k(c) + 13*t(c). Calculate p(r(i)). -9*i**4 + 2 Let i be 3/((2 + -5)/3). Let j(n) = 4*n + 14. Let y be j(i). Let d(l) = y*l - 367 + 367. Let w(s) = 25*s. Give w(d(k)). 50*k Let f(s) = 2*s**2. Let d be (3/(-5))/(17/(-9435)). Let a(o) = -d*o**2 + 160*o**2 + 158*o**2. Calculate f(a(w)). 450*w**4 Let m(k) = -k**2 - 9*k - 18. Let f be m(-5). Let b(v) = -10 - 9*v**f + 10. Let z(c) be the first derivative of -4*c**3/3 - 5. What is b(z(y))? -144*y**4 Let s(w) = -3*w**2 - 4471*w. Let l(y) be the third derivative of -y**4/24 + 2180*y**2. Determine l(s(p)). 3*p**2 + 4471*p Let z(g) be the second derivative of 19*g**6/360 + g**3 - 5*g - 7. Let r(o) be the second derivative of z(o). Let b(t) = 5*t. What is r(b(j))? 475*j**2 Let a(w) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
50*d**4 - 45*d**4 + 132*d**4 - 40*d**4 - 2*d + d**2 in the form g*d**4 + w + y*d**2 + q*d + b*d**3 and give w. -24 Rearrange -227 - 232 - 2418*l + 680 - 228 to the form c*l + t and give t. -7 Rearrange -64*c**3 - 11275*c - 11278*c + 22559*c + 8 to f*c + v*c**3 + s*c**2 + p and give f. 6 Rearrange (-1851*s - 1590*s + 1404*s)*(-2*s + 6*s - 3*s) to k*s + m + u*s**2 and give u. -2037 Rearrange -5*v**3 + 651 - 1121*v**2 + 1121*v**2 + 89*v - 654 to b*v**2 + g*v**3 + n*v + c and give g. -5 Rearrange -4358*r - 3561*r - 13068*r to the form s*r + b and give s. -20987 Rearrange -2*r + 3*r - 70*r**4 - 3 + 57*r**4 - 14*r**3 + 6 + 11*r**3 - 3*r**2 to the form s + y*r**4 + h*r**2 + v*r**3 + m*r and give y. -13 Rearrange -15096 - 2*c**2 + 451*c + 0*c**2 + 15094 + 0*c**2 to y*c**2 + h + p*c and give y. -2 Rearrange 16 - 16 - 7*a + (-2 - 12 + 4)*(-2*a - 3*a - 3*a) to the form t*a + l and give t. 73 Rearrange 443 + 95*v - 1001 + 516 to i*v + k and give i. 95 Rearrange -300*o**2 + 30 + 191*o**2 - 19*o**2 to c + y*o**2 + p*o and give y. -128 Express (-229*m - 1866 + 1866)*(0*m + 0*m - 3*m**2) - 3*m**3 + 3*m**3 - 4*m**3 in the form i*m**2 + t + x*m**3 + a*m and give x. 683 Express 12*m**2 - 15791 + 7907 + 7891 + 8*m - m**3 as o*m + j + z*m**3 + t*m**2 and give z. -1 Rearrange (5 - q - 5)*(3*q**3 - 84 + 84) + 59*q**4 - 32*q**4 + 295*q**4 + 223*q**4 + 32*q**4 to b*q**2 + h*q**3 + z + n*q**4 + k*q and give n. 574 Rearrange -2*u - 5 - 18 + 4*u - 257 to i + x*u and give x. 2 Rearrange 16113*i - 29*i**3 - 7*i**2 - 11*i**2 - 16112*i + 1 to s*i + x*i**3 + z*i**2 + l and give x. -29 Rearrange -1300*d + 65*d - 1040*d + 113*d + 275*d to y + m*d and give m. -1887 Express -298*g + 7984*g - 3952*g + 9740*g + 5726*g as b*g + r and give b. 19200 Rearrange -2*t**3 + 7*t**3 + 500751*t + 10*t**2 - 500750*t + 3 - 2*t**3 to v*t + g + h*t**3 + c*t**2 and give h. 3 Express -112*q + 836*q + 251*q as x*q + m and give x. 975 Rearrange 193 - 3*l**2 + 4*l**2 + 189 - 54 + l to the form r*l**2 + b*l + q and give b. 1 Rearrange -16*d**3 + 91*d + 15*d**2 + 113*d - 204*d to the form n*d + a + m*d**3 + t*d**2 and give t. 15 Rearrange 191*i**2 - 372*i**2 - 296*i**2 - 190*i**2 to p + x*i**2 + y*i and give x. -667 Express (3 - 2 - 2)*(-20*y + 565 + 20*y - y)*(-2 + 2 + 2 + 0) as n + z*y and give n. -1130 Rearrange -7175*d - 4143 - 4140 + 8281 to the form f + k*d and give k. -7175 Express -2396*a + 5159*a + 5775*a + (0 - 2 + 0)*(a + 4*a - 4*a) + 3*a - 2*a + 0*a in the form r*a + i and give r. 8537 Express 32*j**2 - 18*j + 101953 + 31*j**2 + 29*j**2 - 101951 + 25*j**2 in the form n*j + z*j**2 + f and give n. -18 Rearrange 122 - 37 + 28*k**3 + 112 - 36 + 29 to the form m*k + w*k**2 + p + h*k**3 and give w. 0 Express 5*f + 18*f**3 - 4 + 2 - 3*f**4 - 96*f**3 + 20*f**3 + 65*f**3 + 5*f**2 in the form i*f**4 + v*f + w + z*f**3 + a*f**2 and give a. 5 Rearrange (-17*z - 48*z + 43*z - 2 - z + 2 + (0*z + 5*z - 3*z)*(-6 + 3 + 2) - 2*z - 2*z + 3*z + 28*z - 84 + 84)*(-1 - 3 + 6) to the form y*z + a and give y. 4 Express (2*l - 18 + l**2 - 4*l - 1)*(-l**2 - 4*l**2 + 2*l**2) + 81*l**2 - 5*l**4 + 3*l**4 - 72*l**2 as z*l**3 + t*l**2 + m + v*l + u*l**4 and give z. 6 Express -359*z**4 - 891*z**4 - 109*z**4 + 5*z**4 - 6*z**4 + 2*z**4 + (3 - 4 - 1)*(2*z**4 - z**4 + 0*z**4) as c + i*z**3 + l*z**2 + r*z + b*z**4 and give b. -1360 Express -29*a**2 + 28*a - 73*a**3 + 71*a**3 - 31*a + 2 as v*a**3 + y*a + u + p*a**2 and give p. -29 Rearrange -3 + 9 + 46489*t - 46495*t + 12 + 4 to the form h*t + q and give h. -6 Express -7 + 35*g**2 - 6 - 33*g**2 - 82*g + 14 in the form h*g**2 + t*g + p and give p. 1 Rearrange -55*k + 15*k + 18*k - 11*k**2 + 113 + 21*k + 40*k**2 to the form y*k + x + w*k**2 and give y. -1 Express 4 - 4 + 411*l**3 - 87*l**3 + 6*l**3 - 19*l**3 + 3*l**3 + (-2*l + 2*l + 2*l**2)*(1 + l - 1) as g + d*l**2 + v*l**3 + q*l and give g. 0 Express (4*w**3 - 2*w**3 - w**3)*(473*w - 88*w + 57*w)*(-4 - 5 + 0) as n*w**3 + f + t*w + a*w**2 + g*w**4 and give g. -3978 Express 127246*p - 129524*p - 8 - 6 + 16 as c + u*p and give u. -2278 Express (-1 + 3*l**2 + 1)*(-58418*l**2 - 1548*l**2 + 12060*l**2 - 8151*l**2 - 23908*l**2) as g*l**3 + j*l**4 + i*l + m + t*l**2 and give j. -239895 Express 0 - 4 + 3 + 446*m - 2793*m - 761*m in the form j*m + o and give j. -3108 Express 24 - 7 + 45*c**3 + 7*c - 17 - 69*c in the form t*c + n*c**2 + i*c**3 + y and give t. -62 Express 2*z**3 + 29 - 14 + 38*z**2 - 14 - 37*z**2 - 49*z**4 in the form o + u*z**2 + d*z**4 + x*z + s*z**3 and give d. -49 Rearrange 752 + 8169*p - 4067*p - 4095*p to v + s*p and give s. 7 Express -1062*f - 8181 - 5684*f - 1986*f + 8181 in the form j + x*f and give x. -8732 Express 8*y + 139*y**3 + 69 + 2*y - 141*y**3 - y as o*y**2 + x*y + g + r*y**3 and give r. -2 Rearrange (2*k**2 + k**2 - 4*k**2 + (3 - 3 - 1)*(-21*k**2 - 39 + 39) - k**2 - 2 + 2)*(-6*k - 9*k + 6*k) to b*k**2 + o + c*k + z*k**3 and give z. -171 Rearrange 0*q + 6*q**4 - 17*q**3 + 25*q**3 - 2*q + (-2*q**4 - q**2 + q**2)*(5 + 3 - 10) to s + z*q**4 + c*q**2 + b*q + p*q**3 and give s. 0 Rearrange (-2*m + 0*m - 5*m)*(4 - 2 - 3) + 42*m + 6*m - 11*m to q + j*m and give j. 44 Express 155*w - 1794*w - 502*w - 51*w in the form f*w + n and give f. -2192 Express 23 + 2*g**3 + 170*g**2 - 81*g**2 - 97*g**2 + (2*g**2 - 2*g**2 + 2*g**2)*(430 - 430 + 51*g) as i*g**3 + t + w*g**2 + u*g and give i. 104 Express ((-50 + 96 + 86)*(2 + 1 + 0) + 4 - 2 + 0)*(-a - 6*a + 4*a) in the form s*a + f and give s. -1194 Express 52508*p**2 - 2 + 5 + p - 2*p - 52541*p**2 in the form w*p**2 + y + d*p and give d. -1 Rearrange 574*l**2 - 1232*l**2 - 1260*l**2 - 605*l**2 + 281*l**2 to the form q*l + f + r*l**2 and give r. -2242 Express (32*u - 122*u + 28*u)*(120*u - 233*u + 149*u) as c + w*u**2 + r*u and give w. -2232 Rearrange 2*r**2 - 3*r**2 + 9 - 167955*r**4 + 167968*r**4 - r - 5*r**3 to y*r**4 + w*r**2 + k*r**3 + c*r + t and give y. 13 Express -p - 33 - 184918*p**4 - 4*p**2 + p**3 + 184917*p**4 - 15 in the form u*p**3 + f*p + y*p**4 + m + i*p**2 and give m. -48 Rearrange -45 + 395*a - 398*a - 113*a**2 + 44 to the form z*a**2 + s + f*a and give f. -3 Rearrange -77251*s**2 + 77250*s**2 - 2 - 3 - s + 5*s**4 to the form q + v*s**3 + m*s**2 + t*s + f*s**4 and give q. -5 Express 385*x**3 + 10 + 470*x**3 - 368*x**3 + 592*x**3 - 6 in the form c*x**3 + w*x**2 + g + k*x and give g. 4 Rearrange (-3841 - 8076 - 319)*(-2*d**2 + 0*d**2 + 3*d**2 + d) + 2*d - 2*d - d**2 to n*d**2 + x*d + c and give c. 0 Express 2*f + f**2 + 4375 - f**3 + 7*f**4 + f**4 - 4346 as u*f**3 + t*f**4 + z*f + m*f**2 + k and give k. 29 Express -2*a**2 - 4 + 4 + (3*a - 4*a + 3*a)*(-315*a - 564*a + 206*a + (2 - 1 - 2)*(-2 - 2*a + 2) - 2*a + 4*a + a) as x + w*a + c*a**2 and give c. -1338 Express 142 - 142 + 2395*x + 4120*x in the form j*x + g and give j. 6515 Express 10373*g**2 - 1042*g**2 - 1301*g + 1302*g + 13266*g**2 in the form s + n*g + d*g**2 and give n. 1 Express (9*d + 7*d - 13*d)*(-23828*d + 23828*d - 1031*d**2) in the form r*d**3 + c + t*d + w*d**2 and give c. 0 Express 8760368*a**2 - 2 - 36*a + 93*a + 95*a - 8760372*a**2 as g + n*a + t*a**2 and give g. -2 Express (3*t**2 + 3*t**2 - 19*t**2)*(2*t - 4*t + 0*t)*(-17*t - 24*t - 5*t) as x*t + d*t**2 + p*t**3 + i + v*t**4 and give v. -1196 Express 1 + 289*k + 169*k**2 - 146*k - 25*k**2 - 143*k as w*k + h*k**2 + v and give h. 144 Rearrange 89*s + 2 - 242*s + 2*s**4 + 168*s + (0*s**3 - s**3 - 2*s**3)*(-3*s + 4*s + 0*s) to z*s**2 + x*s + v + j*s**3 + l*s**4 and give l. -1 Rearrange (6*x - 2*x - 2*x)*(-10*x**2 - 41*x**2 + 154*x**2) + (654*x - 654*x - 32*x**2)*(-x - 3*x + 2*x) to n + o*x + f*x**2 + v*x**3 and give o. 0 Express (0*d**2 + 20*d**2 - 2*d**2 + (2*d**2 - 5*d**2 + d**2)*(-2 + 3 + 0))*(-308 + 144 - 395) in the form j*d + u + s*d**2 and give s. -8944 Express 55*r**3 + 1545*r**2 - 59*r**3 - 1644*r**2 + (6*r**3 + 2*r**3 - 2*r**3)*(-3 + 2 + 7) as h + s*r + b*r**3 + z*r**2 and give z. -99 Express (4 + 2 - 4)*(1 + 3 + 2 + (2 + 3 - 6)*(-86 + 178 - 61))*(4 - 2*g**3 - 4) as v + c*g**2 + i*g**3 + x*g and give i. 100 Express 257040 - 4*h**3 - 8*h**2 + 4*h + 7*h**3 - 257040 in the form g*h**2 + d + l*h**3 + j*h and give l. 3 Express -839*z - 2*z**3 + 901*z + 1009*z**2 - 2 + 3*z**3 - 10*z**4 - 1012*z**2 in the form v*z**2 + n + x*z**3 + k*z**
{ "pile_set_name": "DM Mathematics" }
nd the common denominator of -157/704900 and 173/84588. 2114700 Find the common denominator of -7/14496248 and 71/6690576. 86977488 Calculate the common denominator of 131/1120 and -31/1766450. 28263200 What is the smallest common multiple of 91372 and 115508? 6121924 Calculate the common denominator of -38/10218197 and -15/14. 143054758 Calculate the smallest common multiple of 3587796 and 24. 7175592 What is the lowest common multiple of 2117688 and 352948? 2117688 Find the common denominator of 91/654 and 77/738600. 80507400 Calculate the lowest common multiple of 10393564 and 39310. 51967820 Find the common denominator of 83/84736 and 67/3671452. 234972928 What is the least common multiple of 9438 and 87282? 10561122 What is the least common multiple of 9615424 and 1637792? 298078144 Find the common denominator of -17/10029332 and -43/15043998. 30087996 Calculate the common denominator of 101/30855 and -97/9075. 154275 Calculate the common denominator of -133/7007268 and 26/1851. 4323484356 What is the common denominator of 25/8 and -41/3159732? 6319464 Calculate the smallest common multiple of 4909058 and 8. 19636232 What is the least common multiple of 10802 and 18590242? 18590242 Calculate the least common multiple of 1105026 and 52555. 127077990 Calculate the lowest common multiple of 1269 and 760131. 760131 Find the common denominator of 17/143115 and -19/693. 4722795 Calculate the smallest common multiple of 16468 and 6282542. 12565084 Calculate the least common multiple of 32680557 and 2048354. 718972254 Calculate the least common multiple of 724980 and 1739952. 8699760 Calculate the common denominator of 67/200 and -33/181760. 908800 Calculate the smallest common multiple of 1620 and 477022122. 4770221220 What is the least common multiple of 202564318 and 92074690? 1012821590 What is the smallest common multiple of 2592 and 5218992? 10437984 What is the smallest common multiple of 36 and 2809840? 25288560 Find the common denominator of 41/154437354 and -53/37062. 154437354 Calculate the least common multiple of 1250128 and 3267. 371288016 What is the smallest common multiple of 204 and 1430712? 24322104 What is the common denominator of -119/72108 and 53/66050928? 66050928 Calculate the least common multiple of 28 and 871532. 6100724 Find the common denominator of -133/3522 and -151/91230. 53552010 Calculate the common denominator of 173/12780960 and 17/15337152. 76685760 Calculate the lowest common multiple of 3234 and 143234. 33087054 Calculate the common denominator of 59/20492 and 43/5968295. 23873180 Calculate the smallest common multiple of 4 and 12445650. 24891300 Calculate the common denominator of -53/8514030 and 61/609. 246906870 Find the common denominator of -34/3723397 and 23/1827. 234574011 Calculate the common denominator of 43/13459980 and 47/94456. 26919960 What is the lowest common multiple of 540 and 621780? 5596020 What is the smallest common multiple of 2982050 and 81700? 5964100 What is the common denominator of 59/4161 and 19/363102? 6898938 What is the common denominator of -19/77477370 and 1/3071790? 697296330 Calculate the least common multiple of 12 and 622016. 1866048 Calculate the smallest common multiple of 6 and 3903793. 23422758 Calculate the common denominator of 101/2655210 and 29/70350. 92932350 Calculate the common denominator of 23/408816 and -35/873744. 44560944 Calculate the smallest common multiple of 6542 and 31244. 102199124 What is the common denominator of -49/4805 and -83/296980? 9206380 What is the least common multiple of 423235736 and 22? 423235736 Calculate the common denominator of -10/29565261 and -59/6534. 177391566 Find the common denominator of -17/148 and 17/22434. 1660116 Find the common denominator of -49/5234174 and -32/9911. 88980958 What is the least common multiple of 62 and 104954? 3253574 What is the common denominator of 40/47 and 7/734892? 734892 Calculate the smallest common multiple of 220245 and 2265. 33256995 What is the smallest common multiple of 9190860 and 10109946? 101099460 What is the lowest common multiple of 2 and 4834909? 9669818 What is the common denominator of 67/93009 and 67/735? 3255315 Find the common denominator of 103/41868 and 53/11340. 13188420 Calculate the common denominator of 21/8722328 and -33/116661137. 933289096 What is the common denominator of 29/232650 and 8/475875? 10469250 Find the common denominator of 94/41655 and 76/1824489. 9122445 What is the common denominator of 89/2558456 and 1/83789434? 335157736 What is the smallest common multiple of 62000 and 6051200? 30256000 What is the common denominator of -12/33764471 and 59/14800864? 1080463072 What is the lowest common multiple of 365034 and 9296? 20441904 Calculate the common denominator of 149/348421602 and -77/35844. 696843204 Calculate the common denominator of -26/104381 and -101/60. 6262860 What is the common denominator of 139/331854456 and 127/120? 1659272280 Find the common denominator of -59/316289080 and 169/870. 948867240 What is the least common multiple of 26978355 and 7194228? 107913420 Calculate the smallest common multiple of 6219 and 20430106. 183870954 Calculate the lowest common multiple of 22255794 and 40. 445115880 Calculate the common denominator of -101/764280766 and -37/22. 8407088426 Calculate the least common multiple of 18060 and 62780. 1318380 Find the common denominator of -69/777436 and -79/986. 383275948 Calculate the least common multiple of 4869360 and 39. 63301680 What is the least common multiple of 490809 and 11759? 524674821 What is the lowest common multiple of 140 and 8297940? 8297940 Calculate the least common multiple of 424 and 186612. 19780872 What is the common denominator of -101/380 and -81/1237052? 6185260 Calculate the least common multiple of 4159602 and 92204511. 553227066 What is the common denominator of -121/453258 and 173/16921632? 50764896 Calculate the lowest common multiple of 9184 and 31758272. 31758272 What is the smallest common multiple of 37488 and 4686? 37488 Calculate the lowest common multiple of 2478 and 32624. 40421136 Calculate the lowest common multiple of 4840 and 75394. 16586680 Find the common denominator of 71/5477185 and -26/41. 224564585 What is the common denominator of -13/112869 and 10/388771? 3498939 What is the common denominator of 73/14253192 and 43/66861? 242304264 What is the smallest common multiple of 420 and 1274880? 8924160 Calculate the lowest common multiple of 90 and 28370880. 28370880 Calculate the common denominator of 46/67837 and -32/203511. 203511 What is the least common multiple of 6 and 812494? 2437482 Calculate the common denominator of 63/140270 and 33/10088. 54424760 Calculate the smallest common multiple of 8801180 and 69. 26403540 Calculate the common denominator of -103/2616416 and 61/19536. 290422176 Find the common denominator of -1/11384740 and 17/12523214. 125232140 Calculate the common denominator of 12/142649 and 28/67758275. 67758275 Calculate the least common multiple of 156983695 and 2805. 470951085 What is the smallest common multiple of 535 and 449565? 48103455 Calculate the common denominator of -45/6841466 and 25/3296. 109463456 What is the least common multiple of 42427280 and 213024? 254563680 What is the least common multiple of 85344 and 621411? 19885152 Find the common denominator of -57/23438 and 26/1933635. 3867270 Calculate the common denominator of 3/1155080 and 13/320. 9240640 What is the smallest common multiple of 1540 and 1144800? 88149600 Calculate the common denominator of 31/205 and 22/87179325. 87179325 Calculate the common denominator of 19/472 and 113/1300360. 1300360 Calculate the smallest common multiple of 50106025 and 310. 3106573550 Calculate the common denominator of 97/5948172 and -125/164592. 214134192 What is the common denominator of -91/5348288 and -87/176? 5348288 Calculate the common denominator of 35/21528 and -111/171626. 6178536 Find the common denominator of 58/65 and -94/5575455. 72480915 Calculate the least common multiple of 929664 and 53223264. 212893056 Calculate the common denominator of -18/74083313 and 5/319. 814916443 Calculate the common denominator of 37/2169 and 17/10699. 23206131 What is the lowest common multi
{ "pile_set_name": "DM Mathematics" }
rth biggest value in 0.5, t, v, r? r Let g = 86 + 66. Let r be -2 - (g/(-36) + 2). Let a = 770 - 3846/5. What is the biggest value in 0.4, a, r? a Let m(j) = 2*j**2 + 20*j + 14. Let o be m(-10). Suppose 0 = 10*s + o + 46. What is the third biggest value in -3, -0.42, s? s Let l = -9508.6 - -9509. What is the third biggest value in 1/3, 0.5, l, 0.0018, 0.2? 1/3 Let l(g) = -g**2 + 4*g + 2. Let k be l(6). Let u be 1 + k + 3/9*6. Let n be (4/u)/(6/14). What is the third smallest value in 1/9, -2/3, n, -3? -2/3 Let v = -0.495 + 0.395. Let o be 5*(-33)/110*(-8)/(-42). What is the biggest value in o, -10/3, v? v Let x = 13909 - 13897. Which is the smallest value? (a) -0.1 (b) 0.5 (c) -2 (d) x (e) -12/11 c Let w be (3/(-81))/((-48)/288). Which is the third smallest value? (a) w (b) -1/10 (c) 3 (d) -0.01 (e) 38 a Let i = 14083 - 14082.9. Which is the biggest value? (a) i (b) -0.1 (c) -0.45 (d) -3/7 (e) -12/5 a Suppose -3*g = -4*w - 19, 30*g + 2*w = 35*g - 27. Suppose -3*d + 6*d = g*h - 16, -4*h + 4 = 2*d. Which is the second smallest value? (a) h (b) -27 (c) 0.3 c Suppose 11*i - 6*i + 12 = -2*q, -4*i - 2*q - 8 = 0. Which is the second smallest value? (a) 0.9 (b) i (c) 66 a Let w = 1375 + -1377. Which is the fourth smallest value? (a) -4/3 (b) 4 (c) w (d) 16/5 b Let r be (-14 - (0 - 12))*5/15. Which is the fourth smallest value? (a) 3.6 (b) 2/3 (c) 2/5 (d) 5 (e) r a Let s = 41393/9 - 4599. What is the third biggest value in s, -2/3, 8, 1/4? s Let x = 7767 + -7762. Which is the biggest value? (a) 0.058 (b) x (c) -0.9 b Suppose 0 = -2*j - 6 + 2, 5*k + 5*j - 35 = 0. Let x(z) = 3*z - 2. Let u be x(1). Which is the biggest value? (a) k (b) 5 (c) u a Let z = -1057 - -1056.292. Let y = z - -0.008. Which is the fourth smallest value? (a) y (b) 5 (c) 0.02 (d) -3/4 b Let h = -2/397 - -405/1588. Let t = 6.4 - 6.8. Which is the smallest value? (a) h (b) t (c) 19 (d) -0.3 b Let a = -447/5 + 90. Let l(j) = j**3 + 18*j**2 + 19*j + 34. Let i be l(-17). What is the smallest value in i, 6/19, 0.1, a? i Let y be 3/(1/2 + 1) - -8. Let n be y/6 - (-25)/(-30). What is the third smallest value in n, 0, 1/4? n Let p = -0.6407 - 113.3593. Which is the third biggest value? (a) 12 (b) 4 (c) p c Suppose 0 = 2*w + 452*z - 453*z, 2*w = -z + 8. Which is the third smallest value? (a) 0.02 (b) 2/17 (c) w (d) -1 (e) 3/5 b Let x = 33 + -100/3. Let z = 4.0449199 - 0.0449199. Which is the third biggest value? (a) 1/4 (b) 0.05 (c) x (d) z b Let v(k) = 2*k + 30. Let p be v(9). Let d = 46 - p. Let a be 7/(-7) + (d - 1). What is the biggest value in 0, 0.2, -0.9, a? 0.2 Let f be 9 + -7 + -1*2. Let p = -129 - -165. Suppose 3*h - 46 = 5*n, -5*h + 3*n + 30 = -p. What is the second smallest value in h, f, 0.1? 0.1 Let x be ((-12256)/3830)/(8/(-10)). Which is the second smallest value? (a) -0.3 (b) 6 (c) x (d) 0.2 (e) -3/2 a Let j be 10 + (1 + -2 - 4). Let l = -6.3 - -8.3. Let i = -1 - -1.1. What is the biggest value in j, -2, l, i? j Let r = 310.8 - 310.84. Which is the second smallest value? (a) -2 (b) 0.07 (c) 0.5 (d) r d Let l = 754 + -748. Let d be l/(-9) - (-19 + 18). Which is the second smallest value? (a) d (b) -0.1 (c) 0 c Let n be 17/(-21) + (-8*(-190)/120 - 12). What is the biggest value in -0.439, 0.5, n? 0.5 Let j = 25207 - 25211. What is the smallest value in 2.2, -2/5, j, -2/281? j Let l be 52/286 + -2 + (-276)/(-176). Which is the biggest value? (a) -2/9 (b) -74 (c) -5 (d) l (e) -2 a Let b = -391.6 - -392. What is the biggest value in 4, -2, b, -192, -0.2? 4 Let m = 11319 - 57243/5. Let r(t) = 16*t**3 - 2*t**2 - 3*t. Let d be r(-2). Let v = m - d. Which is the smallest value? (a) -0.4 (b) -1 (c) v b Let p = 57 + -47.4. Let h = 15.4 + p. What is the smallest value in h, -5, 3/5? -5 Suppose -6850 - 1190 = -6*h. Let x be (-2)/(-10) - 603/h. Which is the second biggest value? (a) x (b) 165 (c) 3 c Let u be ((-8)/746)/((25/45)/(55/(-66))). Which is the smallest value? (a) u (b) 1/3 (c) -1/3 (d) -1/4 c Suppose 119 = 3*j + 5*f, 0*j - j - 2*f = -39. Let w = j - 67. Let n = 0.3165 - 0.0165. What is the fourth smallest value in n, 2/3, w, 0? 2/3 Let w = -14895/11 + 1353. Which is the biggest value? (a) 1 (b) -2 (c) w a Let x = 32.8 - 32.6. Let z = -2.67 - -2.7. Which is the third smallest value? (a) 6 (b) 1/2 (c) x (d) z b Let s = 562 + -454. Which is the fourth smallest value? (a) -4/9 (b) s (c) 0.4 (d) -5 b Let d = 3161/11 + -6267/22. What is the fifth biggest value in 3, -3/7, -1.6, d, -5? -5 Let g(t) = -41*t - 132. Let z be g(-6). Let f be (-17 - -18)/(z - -1). Which is the second biggest value? (a) 0.1 (b) -0.5 (c) f c Let m = -0.574 - -0.236. Let h = 0.538 + m. Which is the second biggest value? (a) h (b) 2/5 (c) 11 (d) 2/7 b Let k = -16 - -15.8. Let f = -3.121 - -0.021. Let v = f + 13.1. Which is the second biggest value? (a) k (b) v (c) -0.6 a Let y = -2/28245 + -15619477/112980. Let m = y + 138. What is the second smallest value in 1/2, m, -0.09? -0.09 Let o = -38/13 + 3. Let m be 5/(-63) - (15 + 4784/(-322)). Which is the third biggest value? (a) o (b) -1 (c) 0.4 (d) m d Let m = -0.62 - -0.12. Suppose -131*t - 60 = -136*t. Let f be ((1 - -2)*2)/(t/8). Which is the biggest value? (a) 0.2 (b) m (c) 5 (d) f c Let q = 8359 + -8359. Let l(o) = o**2 + 6*o + 5. Let f be l(-6). What is the fourth biggest value in -4/9, q, 0.054, f? -4/9 Let k = 0.103 + 13.897. Let h = k + -47. Let g = h - -31. What is the third biggest value in -64, g, 2/9? -64 Let k = 16138 + -16134. Let r be (-94)/(-182) + 2 + -3. Let l = r + 10/13. Which is the biggest value? (a) l (b) k (c) 5 (d) 1/2 c Let p = 148 - 157.6. Let h = p + 14.6. Which is the smallest value? (a) h (b) 4/3 (c) 0 c Let q = 925.1881 - 925. Let m = q + 0.0119. What is the second smallest value in -4, -15, m? -4 Let r = 2667 - 2411.6. Let v = r + -255. Which is the second smallest value? (a) -18 (b) -0.1 (c) v (d) -2 d Let z = -322 - -472. Let p be (-3)/(-4) + (z/(-8))/5. Let u = 2.8 - 3. Which is the third smallest value? (a) p (b) 1/3 (c) u b Let o = 3.6515 - 5.6515. What is the second smallest value in 0.3, 26, 2/15, o? 2/15 Let j = 15771/10 - 1577. Which is the second biggest value? (a) j (b) -0.1 (c) -2/23 (d) 1/26 (e) -2/3 d Let v = -6839.076 + 6809. Let y = -30 - v. Let w = y + -3.076. Which is the smallest value? (a) -13 (b) w (c) -4/3 a Let j = -445.6 - -446. What is the third biggest value in 13, 1/4, 2, j? j Let s be (-87)/5 + (-1292)/(-76). Which is the third biggest value? (a) -3 (b) 338 (c) s a Let j = -66 - -44. Let g = 4751 - 4724. Let q = j + g. Which is the third smallest value? (a) q (b) -0.21 (c) 0 a Let x = -3407 + 3406.5. Which is the biggest value? (a) 1 (b) x (c) 3/2 (d) -2 c Let n = 3.93 - 10.93. Let m be -1 + -93 - (0 - 2). Let w = -458/5 - m. What is the second smallest value in n, -1, w? -1 Let s = 0.8 - 1.2. Let g = 221 - 231.3. Let m = -12.3 - g. What is the biggest value in -0.5, 0.7, m, s? 0.7 Let q = 8988 - 674101/75. Which is the fourth smallest value? (a) 0 (b) q (c) 4 (d) 0.5 c Let g = -302680/9 - -33634. Which is the second smallest value? (a) 51 (b) g (c) 0.5 (d) 0.2 (e) 3 c Let w(y) = -3*y - 17. Let q be w(-7). Suppose -9 = q*c + 5*c. Let r be (4 - 7 - c) + -2. What is the fourth smallest value in 0.1, r, 3, 4? 4 Let v = -14.941 + 14.441. What is the fourth biggest value in 0.02, 3, -3, v, -15? -3 Let o = 17 - 18. Let p be ((-76)/(-16) - 4)*(-80)/(-90). Which is the second biggest value? (a) -1/2 (b) p (c) o (d) -2 a Let t = 27.5 + -24. Let i = -2.5 + t. Let c = -19 - -22. What is the smallest value in i, 1/2, c? 1/2 Let v = -91537 - -91537. Let z be -1 + (-2 - 2/2). Let w = 0.1 + -5.1. Which is the third biggest value? (a) v (b) z (c) w (d) 0.5 b Suppose 0 = 3*b - 5*i - 2, 0 = 43*i - 42*i - 2. What is the biggest value in 5, b, 3, -5? 5 Let v = -420.5 - -2.5. Let z = v + 417.8. Which is the second smallest value? (a) z (b) -2 (c) 2 (d) 1 a Let l = 29816.9 - 29817. Which is the second biggest value? (a) -3/2 (b) -2 (c) l (d) -3 (e) 1 c Let i = 5025.7 - 5027.7. Let k = 16 + -29. Which is the fourth biggest value? (a) -0.5 (b) 0 (c) i
{ "pile_set_name": "DM Mathematics" }
for h. -8 Solve 0 = 10*h - 0 + 40 for h. -4 Solve 20*g = 27*g - 42 for g. 6 Solve 49*c - 76 = 30*c for c. 4 Solve 18*s - 87 = 3 for s. 5 Solve 0 = -6*d + 15*d - 36 for d. 4 Solve 5*y - 11*y = 12 for y. -2 Solve 0 = -3*l + 648 - 657 for l. -3 Solve 5*i = -6*i + 11 for i. 1 Solve 3*l = -209 + 212 for l. 1 Solve -22*t = t + 26*t for t. 0 Solve 5*j - 29*j = 120 for j. -5 Solve -3*h - 29 = -23 for h. -2 Solve v + 64 - 63 = 0 for v. -1 Solve 7 = 3*y - 5 for y. 4 Solve 7*p = p - 18 for p. -3 Solve 0 = b + 1 for b. -1 Solve -2*c + 12 = 4*c for c. 2 Solve 27*w - 33*w = 30 for w. -5 Solve 3*y + 14 = 26 for y. 4 Solve 0 = -39*h + 31*h - 16 for h. -2 Solve 0 = -x - 20*x for x. 0 Solve 6*s - 5 = s for s. 1 Solve 0 = 10*g - 21*g + 11 for g. 1 Solve -5*b = -200 + 190 for b. 2 Solve 4*v + 1578 - 1566 = 0 for v. -3 Solve 0 = -118*k + 124*k - 24 for k. 4 Solve 6*j - 8*j - 4 = 0 for j. -2 Solve -4*w + 6*w = -6*w for w. 0 Solve 74*o - 82*o + 32 = 0 for o. 4 Solve 8*m - 12*m - 12 = 0 for m. -3 Solve 0 = -37*v + 38*v + 4 for v. -4 Solve 9*w = -3*w + 24 for w. 2 Solve -4*a - 59 = -67 for a. 2 Solve 0 = -3*b - 6*b - 8*b for b. 0 Solve 114*b - 106*b = 0 for b. 0 Solve 18*a + 96 = -84 for a. -10 Solve -7*x = 40 - 5 for x. -5 Solve 16 = -5*a + 1 for a. -3 Solve -5 = 7*r - 12*r for r. 1 Solve 268*t = 267*t - 5 for t. -5 Solve -14*r = -21*r - 28 for r. -4 Solve 0 = -26*a - a - 189 for a. -7 Solve 21 = -7*s - 14 for s. -5 Solve -2*d = -3*d - d for d. 0 Solve -17 = q - 19 for q. 2 Solve -8*q = 11 + 5 for q. -2 Solve -9 = j - 5 for j. -4 Solve 36*o - 135*o = -792 for o. 8 Solve -f = 6*f for f. 0 Solve 38 = -29*o - 78 for o. -4 Solve 15*w + 21*w = 144 for w. 4 Solve 0 = -242*i + 294*i for i. 0 Solve -5*p = -2*p - 12 for p. 4 Solve -5 + 2 = -3*z for z. 1 Solve 148 = 28*t + 46*t for t. 2 Solve -13*o = 6*o - 57 for o. 3 Solve -6 = 13*p - 16*p for p. 2 Solve 220 = 60*v - 5*v for v. 4 Solve -10 = 3*t + 2*t for t. -2 Solve -7*g - 83 + 111 = 0 for g. 4 Solve 7 = 7*k + 42 for k. -5 Solve -101*x + 114*x - 13 = 0 for x. 1 Solve 0 = y - 14 + 13 for y. 1 Solve 0 = 19*u - 17*u - 6 for u. 3 Solve 20 = -13*g + 8*g for g. -4 Solve -19 = 6*v + 5 for v. -4 Solve 4*l + 60 - 52 = 0 for l. -2 Solve 11*n - 60 = -4*n for n. 4 Solve -9*n + 40 = 4 for n. 4 Solve -122*r = -34*r - 616 for r. 7 Solve -20*g - 82 = 78 for g. -8 Solve -25 + 12 = 13*o for o. -1 Solve -25*y + 75*y + 450 = 0 for y. -9 Solve -7*m + 38*m = 93 for m. 3 Solve -71*g - 151 = -9 for g. -2 Solve -7*m = 28*m - 280 for m. 8 Solve 1 = 18*p + 1 for p. 0 Solve 52 = -10*g + 62 for g. 1 Solve -23 - 238 = -29*t for t. 9 Solve 24*g - 6 = 21*g for g. 2 Solve 0 = 3*v - 1 + 13 for v. -4 Solve 12*r + 25 = 17*r for r. 5 Solve -324 = 8*s + 100*s for s. -3 Solve 85*c = 90*c - 25 for c. 5 Solve 5*l = -9 - 16 for l. -5 Solve 19*v + 5 = -71 for v. -4 Solve -j - 7 = -3 for j. -4 Solve 25*x + 37 = -13 for x. -2 Solve -42 = 44*x - 65*x for x. 2 Solve 0 = 13*l - 11*l - 2 for l. 1 Solve -207 = -6*p - 219 for p. -2 Solve 153 - 131 = -11*m for m. -2 Solve -60*h - 13 - 47 = 0 for h. -1 Solve 17*w = -41 - 112 for w. -9 Solve -4*d - 14 + 26 = 0 for d. 3 Solve 16*a - 81 - 79 = 0 for a. 10 Solve 3*y + 30 - 27 = 0 for y. -1 Solve 29*s - 344 = -112 for s. 8 Solve 16 = 2*c + 6*c for c. 2 Solve -53*c - 6 = -59*c for c. 1 Solve -20*q = -4*q - 16 for q. 1 Solve 9*i = 2*i - 14 for i. -2 Solve 3*c - 28 = -4*c for c. 4 Solve -16*b = -765 + 829 for b. -4 Solve -6*j - 5 + 17 = 0 for j. 2 Solve 8*z - 2*z = 24 for z. 4 Solve 0 = -17*j - 42 + 8 for j. -2 Solve -556 + 545 = 11*t for t. -1 Solve -4 = t - 2 for t. -2 Solve -12*u + 22 = -2 for u. 2 Solve -8*j + 20 = -28*j for j. -1 Solve 27*d = 31*d - 20 for d. 5 Solve 15*x - 60 = 30*x for x. -4 Solve 70*t + 16 = 74*t for t. 4 Solve 77*y = 24*y - 53 for y. -1 Solve -48*f = 28*f - 76 for f. 1 Solve 4*f - 6 = -2*f for f. 1 Solve 7*r + 50 = 22 for r. -4 Solve 75 = 48*f + 267 for f. -4 Solve -8*s = -19*s - 22 for s. -2 Solve 4*u + 8 = -0*u for u. -2 Solve -65*i + 44 = -86 for i. 2 Solve -2*b = 3*b + 20 for b. -4 Solve -15 - 5 = -10*b for b. 2 Solve -160*w = -128*w + 160 for w. -5 Solve 3 = 1016*v - 1013*v for v. 1 Solve -6*g + 11 + 19 = 0 for g. 5 Solve -t - 6264 = -6259 for t. -5 Solve 432*q = 470*q + 228 for q. -6 Solve 45*c = -123 + 33 for c. -2 Solve 0 = -3*n + 624 - 597 for n. 9 Solve -4*t + 5 = -3*t for t. 5 Solve -7*p + 30 = 2 for p. 4 Solve 0 = -38*g + 299 - 71 for g. 6 Solve -9 = 46*u - 43*u for u. -3 Solve -11 = -4*b - 15 for b. -1 Solve -7 = -67*p + 74*p for p. -1 Solve -38*f = 22*f + 120 for f. -2 Solve -21*r + 14 + 28 = 0 for r. 2 Solve -6*h = -7*h - 2 for h. -2 Solve -7*g + g = -6 for g. 1 Solve -10*l + 14*l = 0 for l. 0 Solve 70*c + 54*c + 496 = 0 for c. -4 Solve -2*s = 4*s + 18 for s. -3 Solve 20 = 14*o - 9*o for o. 4 Solve 8*o - 4*o = -3*o for o. 0 Solve 3*o = -0*o for o. 0 Solve 0 = 11*g - 10 - 12 for g. 2 Solve 25*a = 26*a - 6 for a. 6 Solve 5*p = 4*p - 4 for p. -4 Solve 7*w + 1143 = 1101 for w. -6 Solve -37*d = -60*d + 230 for d. 10 Solve -36 = 367*a - 358*a for a. -4 Solve 17 - 31 = 7*x for x. -2 Solve 0 = -2*u + 6 - 12 for u. -3 Solve -6*w = 520 - 454 for w. -11 Solve -19*r + 66*r + 188 = 0 for r. -4 Solve 37*s - 169 + 21 = 0 for s. 4 Solve 14*k - 12 = 12*k for k. 6 Solve 52 = 7*f + 6*f for f. 4 Solve -24*s + 20 = -28 for s. 2 Solve -9*t + 4 = -5 for t. 1 Solve -62*k = 6*k - 272 for k. 4 Solve 5*u = 4*u - 3 for u. -3 Solve -77 = 10669*r - 10680*r for r. 7 Solve -2*y - 59 + 53 = 0 for y. -3 Solve 0 = -32*x + 43*x + 11 for x. -1 Solve -46*q - 246 = 76 for q. -7 Solve -50 = 7*u - 57 for u. 1 Solve -u - 33 + 29 = 0 for u. -4 Solve 18*y = 34 + 38 for y. 4 Solve 28*m = 35*m for m. 0 Solve 31*x = 26*x + 20 for x. 4 Solve -7*t - 56 = -98 for t. 6 Solve 43 = -37*x + 6 for x. -1 Solve -8*p + 17 = -15 for p. 4 Solve 0*r + 5 = -r for r. -5 Solve -35 = -594*n + 601*n for n. -5 Solve 91 + 21 = 28*x for x. 4 Solve 0 = 68*m - 86*m + 72 for m. 4 Solve 9*w = -6 - 57 for w. -7 Solve -18 - 48 = 22*j for j. -3 Solve 0 = 18*i - 19*i + 2 for i. 2 Solve -13 = -18*f + 23 for f. 2 Solve 15 = 27*y + 231 for y. -8 Solve 0 = -7*i - 55 + 27 for i. -4 Solve -3 - 21 = 8*w for w. -3 Solve -56 + 1 = -11*h for h. 5 Solve 8*x + 19 = 3 for x. -2 Solve 27*r + 96 = 3*r for r. -4 Solve 13*b - 1 = -27 for b. -2 Solve 13*y + 152 = 51*y for y. 4 Solve f = 29 - 28 for f. 1 Solve 0 = 10*s - 54 - 36 for s. 9 Solve -4*a - 16 = 12*a for a. -1 Solve -13*g + 0 - 13 = 0 for g. -1 Solve 0 = 2*n + 2*n for n. 0 Solve -7*i + 58*i + 408 = 0 for i. -8 Solve 163 = -17*z + 180 for z. 1 Solve -47 = -17*v + 123 for v. 10 Solve -15*k = -17*k - 4 for k. -2 Solve -293 + 287 = 3*o for o. -2 Solve 2199 = 16*m + 2151 for m. 3 Solve -2*a = 3*a for a. 0 Solve -2 = 3*n + 1 for n. -1 Solve 13*a - 14*a = -16*a for a. 0 Solve 10 = -21*y + 19*y for y. -5 Solve -11 = 14*d + 31 for d. -3 Solve 547 = -10*h + 467 for h. -8 Solve -111*k = -79*k - 128 for k. 4 Solve 278 - 2 = -69*n for n. -4 Solve -32*q = -39*q - 7 for q. -1 Solve -161*o + 163*o = 10 for o. 5 Solve -131 = -149*r + 167 for r. 2 Solve 18*s + 31 = -59 for s. -5 Solve 378*r - 328*r = -200 for r. -4 Solve -7*o = -14*o for o. 0 Solve -12 = -9*c + 12*c for c. -4 Solve -102*r = -127*r for r. 0 Solve 103*c - 102*c + 3 = 0 for c. -3 Solve 0 = -2*a + 4*a + 4 for a. -2 Solve 79 = 3*s + 64 for s. 5 Solve 9*d = -88*d + 5*d for d. 0 Solve 54 - 118 = -16*z for z. 4 Solve 20*z = 18*z + 10 for z. 5 Solve 10*o + 16 + 4 = 0 for o. -2 Solve -87*s + 45 = -78*s for s. 5 Solve -27 = 13*p + 14*p for p. -1 Solve -16*u = -28 - 20 for u. 3 Solve 20*i + 48 = -4*i for i. -2 Solve -430*t = -449*t + 57 for t. 3 Solve -5*c - 2587 = -2572 for c. -3 Solve -8855*l - 100 = -8845*l for l. -10 Solve 0 = -4*k - 4 - 4 for k. -2 Solve 5 = 201*t - 206*t for t. -1 Solve 7*j + 0*j - 14 = 0 for j. 2 Solve -799 + 794 = -5*v for v. 1 Solve 0*k + 20*k - 40 = 0 for k. 2 Solve 13*l = 7*l for l. 0 Solve -5*x + 7 = -28 for x. 7 Solve 7*d - 20 = -27 for d. -1 Solve 263*g - 258*g + 10 = 0 for g. -2 Solve 90 = -32*h + 17*h for h. -6 Solve 5*w + 40 = -0 for w. -8 Solve 0 = -15*t + 4*t - 44 for t. -4 Solve -64*w = -45*w + 19 for w. -1 Solve 33*m = 16*m + 51 for m. 3 Solve 5*v - 47*v - 210 = 0 for v. -5 Solve -13*y = -658 + 671 for y. -1 Solve -131*i - 54 + 316 = 0 for i. 2 Sol
{ "pile_set_name": "DM Mathematics" }
-4444, -528, 0, 8 Let 6561*u**4/5 + 64915911*u**3 - 1607031572*u**2/5 - 79953236*u/5 - 197904 = 0. Calculate u. -49476, -2/81, 5 Factor -t**3/3 - 3572*t**2 + 592405*t/3. -t*(t - 55)*(t + 10771)/3 Solve u**3/9 + 1183771*u**2/9 - 35519205*u + 2397683025 = 0. -1184041, 135 Factor -5*w**3 + 10510600*w**2 + 294299740*w + 2060105040. -5*(w - 2102148)*(w + 14)**2 Factor -196*j**3 - 129112200*j**2 + 36889212*j - 2634944. -4*(j + 658736)*(7*j - 1)**2 Solve -5*c**2 + 12385*c + 1585390 = 0 for c. -122, 2599 Solve 2*a**2/19 - 29098604*a/19 + 29098602/19 = 0 for a. 1, 14549301 Factor 5*b**3 + 59365*b**2 - 297280*b - 3919740. 5*(b - 11)*(b + 6)*(b + 11878) Let 2*h**2/9 - 20662*h + 2045296/9 = 0. Calculate h. 11, 92968 Factor -9*a**2 - 6204*a + 28502688. -3*(a - 1468)*(3*a + 6472) Solve -2*b**3 + 137172*b**2 - 137170*b = 0. 0, 1, 68585 Suppose 5*y**4 - 17974480*y**3 + 16154366178470*y**2 - 484618852647600*y + 3634611063175125 = 0. Calculate y. 15, 1797433 Find p, given that 4*p**5/9 + 91856*p**4/9 + 122456*p**3/3 + 183664*p**2/9 - 367372*p/9 - 91840/3 = 0. -22960, -3, -1, 1 Solve 2*d**4/15 - 9878*d**3/15 + 23004*d**2/5 + 59184*d/5 = 0. -2, 0, 9, 4932 Determine h, given that -6962*h**3 + 111588*h**2 - 448704*h + 12544 = 0. 98/3481, 8 Factor -2*i**2/15 - 26241188*i/15 + 5248238/3. -2*(i - 1)*(i + 13120595)/15 Determine a so that -a**5/2 + 3343*a**4/2 - 39773*a**3/2 - 662407*a**2/2 - 769461*a = 0. -7, -3, 0, 22, 3331 Find v, given that -4*v**3 + 336304*v**2 + 1345264*v + 1345280 = 0. -2, 84080 Find v, given that 5*v**4 + 1658325*v**3 - 4975020*v**2 = 0. -331668, 0, 3 Solve -g**4 - 6689*g**3 + 3*g**2 + 20065*g - 13378 = 0 for g. -6689, -2, 1 Find u, given that -3*u**2 - 6240*u + 267372 = 0. -2122, 42 Find v, given that 40*v**3/3 - 3116*v**2/3 + 28180*v/3 + 23048 = 0. -2, 129/10, 67 What is q in -60*q**5 - 529216*q**4 - 23307004*q**3 + 18011560*q**2 + 28151968*q - 12637440 = 0? -8776, -45, -1, 2/5, 4/3 Solve 5*d**4 + 7390*d**3 + 266585*d**2 = 0 for d. -1441, -37, 0 Let -72*q**5/7 + 4571786*q**4/7 - 72580626490*q**3/7 + 219725622066*q**2/7 - 21597293618*q + 4031488036/7 = 0. What is q? 1/36, 1, 2, 31747 Factor -2*w**2 - 1108510*w - 6650988. -2*(w + 6)*(w + 554249) Suppose -2*f**5 + 47830*f**4/3 - 92695312*f**3/3 - 10465932872*f**2/3 - 96347018880*f - 31729190400 = 0. Calculate f. -54, -1/3, 4040 Find h such that 5*h**5 + 36780*h**4 + 66303000*h**3 - 4905653760*h**2 + 111328635600*h - 744864984000 = 0. -3714, 12, 30 Find l, given that 4*l**2 - 4934360*l + 138158944 = 0. 28, 1233562 Let -2*h**2/11 - 269356*h/11 - 12655314/11 = 0. Calculate h. -134631, -47 Factor 2*y**3/5 - 22908*y**2/5 - 322672*y. 2*y*(y - 11524)*(y + 70)/5 Solve 36*o**5 + 2766972*o**4 - 7378952*o**3 - 7993528*o**2 + 17217508*o + 15065148 = 0 for o. -76863, -1, 7/3 Let -2*t**4/7 - 29058*t**3 - 5171851802*t**2/7 - 5171241594*t/7 + 10343296804/7 = 0. What is t? -50851, -2, 1 Factor -2*m**4 - 14438*m**3 - 12175800*m**2. -2*m**2*(m + 975)*(m + 6244) Let -p**5/3 + 625*p**4/3 + 78441*p**3 + 468767*p**2/3 + 234070*p/3 = 0. Calculate p. -263, -1, 0, 890 Factor 3*f**4/8 + 491241*f**3/2 + 321743204919*f**2/8 - 2252395005021*f/4. 3*f*(f - 14)*(f + 327501)**2/8 What is m in 3*m**3/4 - 384*m**2 + 193155*m/4 - 95811/2 = 0? 1, 218, 293 Find v, given that -2*v**2/11 + 112742556*v/11 - 1588860491676642/11 = 0. 28185639 Solve -l**2/2 + 18583*l - 371460 = 0. 20, 37146 Find o such that -2*o**3 - 4490*o**2 - 1719464*o + 5198856 = 0. -1754, -494, 3 Determine g, given that -2*g**2/7 + 7234*g - 9050040/7 = 0. 180, 25139 Factor 3*v**4/4 - 139*v**3/4 + 336*v**2 - 927*v. v*(v - 6)**2*(3*v - 103)/4 Let 4*h**5/5 + 564*h**4 - 39440*h**3 + 462000*h**2 = 0. What is h? -770, 0, 15, 50 Suppose 316261250*x**2/17 - 284094400*x/17 + 63799808/17 = 0. What is x? 5648/12575 Find d, given that -4*d**2/5 - 120552*d/5 - 554116 = 0. -30115, -23 Find f such that 4356*f**4 - 264165*f**3/2 + 42153*f**2 - 2334*f - 180 = 0. -1/24, 2/11, 30 Factor 741*a**2/2 - 765*a/2 + 12. 3*(a - 1)*(247*a - 8)/2 Suppose 3*f**2/5 - 2111628*f/5 + 25759629 = 0. What is f? 61, 703815 Factor -5*i**2 - 64771400*i - 209766712898000. -5*(i + 6477140)**2 Determine y, given that 3*y**5 - 221763*y**4 + 12855402*y**3 - 239332920*y**2 + 1240850400*y + 3545424000 = 0. -2, 20, 73863 Factor 5*x**3 - 22390*x**2 - 1116015*x + 31236300. 5*(x - 4527)*(x - 20)*(x + 69) Factor 7*c**5 - 27336*c**4 + 844532*c**3. c**3*(c - 3874)*(7*c - 218) Suppose -2*m**5/9 + 902*m**4 - 7993154*m**3/9 - 55531230*m**2 - 491779796*m/9 = 0. Calculate m. -58, -1, 0, 2059 Solve -30990*q**5 + 1369743*q**4 - 241059*q**3 - 1369875*q**2 + 272049*q + 132 = 0. -1, -1/2066, 1/5, 1, 44 Suppose 5*a**4 + 10490*a**3 + 1961260*a**2 + 7708870*a + 5758095 = 0. Calculate a. -1891, -203, -3, -1 Factor 1525107*m**2/2 + 130149594*m + 5553353574. 3*(713*m + 60846)**2/2 Find n, given that 3*n**4/7 - 31893*n**3/7 - 3480816*n**2/7 + 14815788*n/7 + 6185664 = 0. -112, -2, 6, 10739 What is d in -664750*d**3/9 + 221582*d**2/3 + 443168*d/3 + 8/9 = 0? -1, -2/332375, 2 Let 3*w**2 - 402240*w - 40254000 = 0. What is w? -100, 134180 Determine g, given that -g**4/11 + 2678*g**3/11 - 16827*g**2 = 0. 0, 71, 2607 Find h such that -15*h**5/4 + 1850447*h**4/4 - 524289*h**3 + 61681*h**2 = 0. 0, 2/15, 1, 123362 Find v such that -v**2/2 - 3627497*v/2 + 3627499 = 0. -3627499, 2 Solve 2*i**2/5 + 25304*i/5 - 3097458 = 0 for i. -13237, 585 Let -o**5 + 225*o**4 - 14225*o**3 + 175875*o**2 - 551250*o = 0. What is o? 0, 5, 10, 105 Factor -5*x**3 - 77045*x**2 - 269781720*x + 212676289020. -5*(x - 659)*(x + 8034)**2 Factor -2*g**3/15 + 71464*g**2/15 - 215789022*g/5 + 53284479156/5. -2*(g - 17739)**2*(g - 254)/15 Solve 5*l**4 - 1929925*l**3 + 1929920*l**2 = 0. 0, 1, 385984 Determine q so that -q**4/4 + 133289*q**3/4 + 1866634*q**2 + 26135620*q = 0. -28, 0, 133345 Find y such that -5*y**2 + 2602400*y = 0. 0, 520480 What is i in -i**2 - 509841*i = 0? -509841, 0 Find z such that -7*z**3/3 - 333124*z**2 - 11890385268*z - 40763119392 = 0. -71382, -24/7 Solve -3*o**5 + 19113*o**4 + 229761*o**3 + 172407*o**2 - 421278*o = 0 for o. -11, -2, 0, 1, 6383 Determine m so that 2*m**5/5 + 6126*m**4/5 + 494678*m**3/5 - 6126*m**2/5 - 98936*m = 0. -2980, -83, -1, 0, 1 Find x such that 201312*x**5/5 + 7699536*x**4/5 + 4734360*x**3 + 5652620*x**2 + 3025300*x + 609000 = 0. -35, -5/6, -174/233 Factor -14*l**2/3 - 20178*l + 2360940. -2*(l - 114)*(7*l + 31065)/3 Determine i so that -3*i**4/2 + 343566*i**3 - 26220605985*i**2 + 666027878332446*i + 116286231013599213/2 = 0. -87, 76377 Solve -n**4/2 - 208*n**3 - 8379*n**2/2 - 16622*n - 12640 = 0 for n. -395, -16, -4, -1 Let -34*w**5/3 + 5744*w**4/3 - 193598*w**3/3 - 4328048*w**2/3 - 84640*w = 0. Calculate w. -15, -1/17, 0, 92 Determine q, given that q**3 + 15943*q**2 + 62683275*q - 6890866875 = 0. -8025, 107 Determine w so that 3*w**3 + 1197522*w**2 + 119869318692*w + 72675367408920 = 0. -199282, -610 Find p, given that 2*p**5 + 1066*p**4 + 97148*p**3 - 1044752*p**2 + 3419456*p - 3454208 = 0. -412, -131, 2, 4 Find n such that -43263602*n**5/15 - 225015380*n**4/3 + 2373693374*n**3/15 - 1199109704*n**2/15 - 2078368*n/5 - 2688/5 = 0. -28, -12/4651, 1 Solve 4*q**4 + 15312*q**3 + 13941944*q**2 - 1374904560*q + 6524057700 = 0 for q. -1959, 5, 85 Factor f**2 + 100381964*f + 2519134674124324. (f + 50190982)**2 Factor h**2/7 - 28622*h/7 - 85875/7. (h - 28625)*(h + 3)/7 Suppose 3*a**4 + 12432*a**3 - 766818*a**2 + 11343768*a + 12123015 = 0. What is a? -4205, -1, 31 What is d in -3*d**3 + 156876*d**2 - 49037223*d + 3843617166 = 0? 157, 51978 Let -20*y**4 - 4995*y**3 - 147625*y**2 + 1882455*y - 4182255 = 0. What is y? -213, -187/4, 3, 7 What is f in 2*f**4/3 + 472662*f**3 + 8507764*f**2 + 136123456*f/3 + 60499200 = 0? -708975, -8, -2 Determine r so that 2*r**2 + 229702*r - 4594840 = 0. -114871, 20 Let -18*s**5/7 - 974*s**4/7 + 76368*s**3/7 - 1180656*s**2/7 + 443232*s/7 + 65435040/7 = 0. What is s? -102, -55/9, 18 Let -4*j**2/9 + 17512*j/9 + 22513052/9 = 0. Calculate j. -1039, 5417 Factor 2*n**3 + 152238812*n**2 + 2897082137135224*n + 5794163665315216. 2*(n + 2)*(n + 38059702)**2 Find c such that 4*c**3 + 99120*c**2 + 598910400*c - 188701920000 = 0. -12540, 300 Suppose -4*o**4/3 + 14172*o**3 - 1440484*o**2/3 - 1539708*o - 3136120/3 = 0. What is
{ "pile_set_name": "DM Mathematics" }
-3) -37 Calculate -34 + ((1 - 5) + 3 - -5) + -2 + -3. -35 -1265 - -1301 - (-2 + 3 + (-1 - 1) + 2) 35 What is the value of (3 + 61 - (-3 - 5)) + -3 - (3 - 10)? 76 Evaluate 56 - (-19 + (-17 - -9) + -4 + 28). 59 81 + -69 - (-52 - (-6 + 4 + 3)) 65 What is the value of (1 - (2 - (12 - 1))) + (-54 + 41 - -33)? 30 What is the value of 35 + (-5 + -8 - (-21 - 7))? 50 2 + -104 + (-4 + 5 - -15) + 2 + -16 -100 -53 - (-97 + 95 - (17 - 2)) -36 Calculate -18 + (-5 - (11 + (-40 - -20))). -14 30 + -2 + -50 + -4 - 15 -41 What is the value of (45 - 2 - (42 - (60 + -35))) + 18? 44 (-39 - -67) + 33 + -119 -58 1 + 1 - -4 - (-47 + 37 - -30) -14 What is the value of 45 - (-62 + (14 - -118))? -25 6 - ((34 - 12) + -61) 45 What is (38 - 0) + -15 + (134 - 137)? 20 Calculate 21 + 0 + -111 + 114 - 27. -3 Evaluate 19 + (-13 - (70 + -45)). -19 -48 - (-33 - 43) - 66 -38 -1 + 0 + (-42 - (103 - 127)) -19 What is 41 + -68 - (11 + -46 + 0)? 8 Calculate -8 - -2 - -29 - (-458 - -444). 37 Evaluate (-64 - -15 - -125) + (-28 - 0). 48 -169 + (-119 - -199) + 30 -59 -1733 + 1758 - (-4 + 2 + 1) 26 (-13 - 4 - -3) + -25 + 3 + 93 57 What is the value of 39 - (29 + -73 + 55)? 28 What is the value of 0 + -43 - (3123 + -3153 + 16 + -1)? -28 Calculate 85 - ((9 - 43) + 87). 32 What is the value of (-15 - -9) + (-7 - (2 - 9)) + 7? 1 Calculate 16 + (-24 - 24 - -36) - -21. 25 What is the value of (-17 - -16) + (-4 - -7 - 9) + 12? 5 What is the value of -11 + 4 + -29 + -12 - (-12 - 1)? -35 Evaluate (0 - 37 - (28 - 51)) + (16 - 3). -1 Evaluate 0 - -6 - (-8 - ((3 + 13 - -14) + -1)). 43 What is the value of -10 - (5 + (18 - -16 - 5))? -44 What is the value of 134 + -6 - (886 - 813)? 55 Evaluate (123 - 174) + (-11 - -13). -49 Calculate (0 - 6) + -81 + (8 - -45) + -28. -62 Evaluate -4 - ((-1 - -11) + (50 - 61) - (-129 - 6)). -138 (1 - 2) + 21 - (-7267 - -7367) -80 Evaluate 0 + 2 + -45 + (3934 - 3873). 18 -100 + 81 + 73 + -25 + -1 28 Calculate (-99 - -96) + (1 - 20) - 40. -62 What is (-38 - (-4 - 25)) + 3 + -9? -15 Evaluate -36 + (41 + -12 - 24). -31 What is the value of -50 - 1 - (323 + -133 + -181)? -60 Evaluate -2 - -20 - (29 - (-34 - -55)). 10 What is the value of 17 - (-7 + 7 + -2) - -32? 51 What is -87 + 199 + -139 + 106? 79 Evaluate -14 + -11 + 12 + 14 + -13 - 15. -27 What is (77 - 55) + 92 + -87? 27 Evaluate (30 - 39) + -17 + 131 - 16. 89 What is the value of -56 + 61 + 12 + (16 - 1)? 32 Calculate (-6 - (6 + -62)) + -34 + -27. -11 Evaluate 59 - 73 - (-12 + -20 + 12). 6 Evaluate 44 - (45 + -70 + 47). 22 Evaluate (-14 - -1) + (-3 + -1 - (229 + -236)). -10 What is 13 + -6 - (33 + 5 + 10)? -41 What is the value of (-37 - -2) + (-553 - -554)? -34 Calculate -8 + 43 + -13 + 31. 53 Calculate 107 - (145 - 78) - 64. -24 What is 33 - (-78 - (-2 - 140))? -31 Calculate (24 - (-3 + 7)) + (-1 - (-10 + -3)). 32 Evaluate (151 - 59) + 1 + -51. 42 What is -39 + -14 + (674 - 703)? -82 Calculate -145 + 79 - (-20 + 3). -49 What is the value of 19 + (-20 + -2 - -6 - (-151 + 243))? -89 What is the value of 5 + 6 - 3 - (12 + 32 + 11)? -47 Evaluate -14 - (-2 + -5) - (1 + -3 + -6). 1 Calculate 11 + -3 + -32 - -3 - (2 + 2 + 0). -25 (-289 - -292) + (-5 - (-12 - 4) - 2) 12 Calculate 14 + 5 - 6 - 46 - -7. -26 What is the value of -1 + (-21 - (-22 + -6)) - 122? -116 Calculate (7 - -2) + (0 - 41 - (-40 + 48 + 0)). -40 Calculate -23 - (21 + (0 - 45) + 2). -1 Calculate (4 - (0 - 0) - -65) + (107 - 44 - 62). 70 What is the value of (43 - (-62 - -21)) + 21 - 14? 91 What is (2 - -1) + -221 + 235 + -35 + 90? 72 40 + -72 + 86 - 14 40 10 + (1 - (-10 - (43 + -18))) 46 Evaluate -35 - (-87 + 174 + -161). 39 What is the value of -12 - 22 - (3 - 15) - 24? -46 Evaluate -13 + 17 + (-5 - (12 + -10)) - -59. 56 What is -3 + 4 + -2 + (9 - 8) + (0 - 1)? -1 Calculate -99 + (79 - -16) + 0 + (-48 - 1) - -5. -48 Calculate 7 + 17 + -17 + -25 + -4 + 78. 56 Evaluate (-13 - 7) + 47 + 15. 42 What is the value of (-7 - (-29 - (-17 + 10))) + 1 + -6? 10 Evaluate -49 + (-13 - -4) + 17. -41 Evaluate 55 - (17 + -122) - 49. 111 Evaluate (2 - 1 - (49 + -38)) + 11. 1 Calculate 145 + -224 + -2 + -14 + 30. -65 What is the value of 0 + 0 - (12 + (27 - 84) - -16)? 29 -52 - (105 + -30 + -11) -116 Calculate (-65 + 65 - 39) + 77. 38 0 + 81 - ((-29 - -13 - 1) + 21) 77 Calculate (-17 - 0) + 0 + (8 - -13) + -11. -7 Evaluate 19 + 7 - (-126 + 77) - (0 - 24). 99 Calculate 106 + -21 + 11 + 25. 121 Calculate -21 - (-82 - -21 - -13). 27 What is the value of 1 - -6 - ((26 + (-11 - -4) - 9) + 25)? -28 Calculate 10 - (-32 + 40) - 28. -26 What is the value of 42 + 12 + -17 + -15 + -7? 15 Calculate (84 - -3) + (2689 - 2835). -59 What is the value of -15 - (30 - 12) - (-13 - 7)? -13 What is -32 + (-2 - 11) + ((9 - 6) + -9 - -3)? -48 What is 68 - (4 - 20 - -8) - (-18 + (-6 - -23))? 77 Calculate (22 - (20 + -28 - -48)) + 11. -7 Calculate -1 + 11 - (-53 - (1 + -10 - (87 + -92))). 59 -43 - -42 - 12 - -40 - -28 55 Evaluate -28 - (18 - (-3 + 30)). -19 Evaluate 7 + 0 - (106 - (-22 + 8 + 20)). -93 Evaluate 48 - (-25 + (63 - -37)). -27 What is the value of (7 - (5 - (-4 - 55)) - (-4 + -1)) + -4? -56 What is the value of 33 - (25 + (10 - 8)) - (-1 + 41)? -34 Evaluate (-31 - -19 - 48) + 76. 16 What is the value of -21 + 1 + 24 + -42 + -3 + 3 + -2? -40 (22 - -13) + -4 - 21 10 Calculate 68 + (106 + -51 - 83). 40 What is (-149 - -303) + -92 + 23? 85 -24 - -54 - (-156 + 61) 125 Evaluate (-348 - -336) + (0 - -33) - 14. 7 What is the value of 319 - 317 - ((0 - -1) + -1) - 0? 2 -83 - (-40 + 127 - 163) -7 Evaluate (386 - 355) + (-21 + 3 - 5). 8 Evaluate -6 - (61 + (-56 - -18)). -29 What is 13 + -10 + (861 + -887 - (0 + 72))? -95 Evaluate 8 - -5 - (78 - (23 + 135)). 93 Calculate (-15 - (-1 - -9)) + -79. -102 Evaluate (-3 - 62) + 63 - 28. -30 Calculate -53 - (-62 + 70 - 43). -18 What is -2 + (31 - 32 - 64)? -67 What is (45 + -35 + 16 - 151) + -6 + 8? -123 Calculate -57 + 46 + -38 - 6. -55 Evaluate (-10 - ((-23 - -27) + -12)) + 18 + 3. 19 Evaluate -6 + -14 + -19 + 12 + -4. -31 Calculate -17 + 4 + -17 + (60 - 4). 26 (-23 - (-59 - -90)) + 30 -24 What is 67 + 37 - (19 - 9 - (1 + -6))? 89 What is the value of 48 + (-87 - -3) + -8? -44 What is -52 + -84 + 11 + 141? 16 Calculate 171 + -164 + -8 + 22 - 57. -36 Evaluate (11 - (81 - 38)) + -12. -44 66 - -37 - -52 - ((35 - 37) + 12 + 0) 145 Evaluate (-8 - -1 - -4) + -31 + -6 + (5 - -8). -27 What is -94 - -110 - (-2 - 5) - -8? 31 What is the value of 8 - (-5 + (13 - -6) + -40 - -14)? 20 Evaluate -60 - 1 - (-20 - 8). -33 Evaluate (34 + (-33 - -19) - 11) + -54. -45 Calculate 2 + (-2 + 1 - 2) + -32 - (4660 + -4667). -26 Evaluate (-20 - 67) + 97 - (0 + (-33 - (-2 + 2))). 43 Calculate 190 + -156 - (-5 + -1 + (-2 - (2 - 0))). 44 (0 - 24) + 16 + -65 - -4 -69 What is 11 - (-8 + (-7 - -5)) - -19? 40 What is -95 - (-39 + (-39 - -13) + 70)? -100 Evaluate -8 - ((23 - 8) + -31) - (-5 + 92). -79 (6 + -3 - -22) + -145 + 133 13 What is 120 - (27 - (85 + -126))? 52 (-8 - -44) + (73 - 99) 10 Evaluate 2 + -46 - (-424 + 338). 42 What is -46 + -68 + 113 + (2 - -21)? 22 -8 - (3 - (-1 + 53 - (12 + -6))) 35 What is -99513 - -99506 - ((2 - (-2 + -26)) + 0)? -37 (14 - 28 - (-8 + -1)) + -8 + 44 31 -4 + 0 + 9 + -113 + 114 + 9 15 What is (-97 - (41 - 137)) + (-3 - (-4 - -1) - 3)? -4 -52 - (3 - (75 + -17)) - (-1 - (0 - -51)) 55 Evaluate -51 + 87 + (-2 - ((0 - -1) + (66 - 57))). 24 Evaluate (-2 - 0) + (19 - (12 - (-25 - -14))). -6 What is -97 + -21 + 45 + 34? -39 What is -22 + (-47 - (28 + -33)) + -1 + 13? -52 What is the value of 18 + (20 - (32 + -24 + 3))? 27 What is 10 - (48 + -40 + 57)? -55 Calculate (88 - (41 + 16)) + 15. 46 What is -38 + -3 + 0 + (6 - 4 - 0) + -2? -41 (-27 - 26 - -47) + 26 + 0 20 Calculate 4 - (53 + -2 + -79 + 94). -62 Calculate 53 + -98 - (10 - (7 + 0 - (45 - 48))). -45 (0 - 0 - -3) + (3423 - 3410) 16 Calculate 4 + (-5 - -21) + (1 - -4). 25 What is the value of -27 + 25 + (41 - 18)? 21 24 + (0 - 1) + -56 + (-5 - (4 - 3)) -39 What is the value of -51 + 91 + -131 - -94? 3 What is the value of -18 - ((1 - -16) + (-4 - (10 + (6 - 9))))? -24 Calculate 58 + -15 + (27 - 106). -36 Calculate 168 - 153 - (1 - 0) - (1 - -31). -18 What is -1 - -104 - (-20 + (13 + -33 - -57))? 86 Calculate 26 + 42 + -23 + -28. 17 Evaluate -52 + 48 + (-19 - 13). -36 -8413 + 8272 - (-5 - -3 - 18) -121 -1
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 877 is divided by 68. 61 Calculate the remainder when 294 is divided by 9. 6 Calculate the remainder when 2475 is divided by 6. 3 What is the remainder when 4851 is divided by 4? 3 Calculate the remainder when 1460 is divided by 17. 15 What is the remainder when 396 is divided by 185? 26 Calculate the remainder when 73 is divided by 31. 11 What is the remainder when 201 is divided by 16? 9 What is the remainder when 222 is divided by 117? 105 Calculate the remainder when 5 is divided by 1. 0 Calculate the remainder when 81 is divided by 1. 0 What is the remainder when 141 is divided by 11? 9 Calculate the remainder when 1593 is divided by 51. 12 What is the remainder when 825 is divided by 69? 66 Calculate the remainder when 42 is divided by 22. 20 What is the remainder when 398 is divided by 15? 8 Calculate the remainder when 704 is divided by 141. 140 Calculate the remainder when 2687 is divided by 96. 95 Calculate the remainder when 7389 is divided by 10. 9 What is the remainder when 323 is divided by 110? 103 Calculate the remainder when 818 is divided by 3. 2 What is the remainder when 1176 is divided by 568? 40 What is the remainder when 239 is divided by 48? 47 What is the remainder when 128 is divided by 35? 23 What is the remainder when 8636 is divided by 14? 12 What is the remainder when 443 is divided by 37? 36 What is the remainder when 300 is divided by 39? 27 What is the remainder when 1003 is divided by 126? 121 Calculate the remainder when 222 is divided by 39. 27 Calculate the remainder when 383 is divided by 32. 31 Calculate the remainder when 4472 is divided by 54. 44 What is the remainder when 7397 is divided by 18? 17 Calculate the remainder when 1644 is divided by 4. 0 What is the remainder when 1265 is divided by 41? 35 Calculate the remainder when 1402 is divided by 276. 22 What is the remainder when 130 is divided by 69? 61 Calculate the remainder when 131 is divided by 42. 5 What is the remainder when 697 is divided by 70? 67 Calculate the remainder when 146 is divided by 27. 11 Calculate the remainder when 4636 is divided by 4622. 14 What is the remainder when 6896 is divided by 121? 120 What is the remainder when 21 is divided by 6? 3 What is the remainder when 1580 is divided by 113? 111 Calculate the remainder when 229 is divided by 5. 4 What is the remainder when 1927 is divided by 609? 100 What is the remainder when 702 is divided by 134? 32 Calculate the remainder when 259 is divided by 4. 3 Calculate the remainder when 691 is divided by 58. 53 Calculate the remainder when 129 is divided by 2. 1 Calculate the remainder when 2731 is divided by 5. 1 What is the remainder when 1032 is divided by 47? 45 Calculate the remainder when 276 is divided by 56. 52 What is the remainder when 3536 is divided by 30? 26 What is the remainder when 3253 is divided by 8? 5 Calculate the remainder when 703 is divided by 100. 3 What is the remainder when 371 is divided by 212? 159 Calculate the remainder when 1697 is divided by 25. 22 Calculate the remainder when 149 is divided by 109. 40 What is the remainder when 191 is divided by 95? 1 What is the remainder when 22097 is divided by 13? 10 What is the remainder when 128 is divided by 98? 30 What is the remainder when 311 is divided by 13? 12 What is the remainder when 176 is divided by 163? 13 What is the remainder when 510 is divided by 168? 6 What is the remainder when 390 is divided by 8? 6 What is the remainder when 350 is divided by 90? 80 What is the remainder when 9590 is divided by 35? 0 What is the remainder when 1495 is divided by 30? 25 What is the remainder when 32 is divided by 24? 8 Calculate the remainder when 194 is divided by 9. 5 What is the remainder when 10081 is divided by 53? 11 Calculate the remainder when 160 is divided by 17. 7 What is the remainder when 616 is divided by 15? 1 What is the remainder when 91 is divided by 23? 22 What is the remainder when 5181 is divided by 96? 93 Calculate the remainder when 1147 is divided by 10. 7 Calculate the remainder when 4926 is divided by 88. 86 Calculate the remainder when 2301 is divided by 24. 21 Calculate the remainder when 3535 is divided by 52. 51 Calculate the remainder when 51 is divided by 13. 12 What is the remainder when 184 is divided by 11? 8 Calculate the remainder when 241 is divided by 122. 119 Calculate the remainder when 134 is divided by 104. 30 Calculate the remainder when 3247 is divided by 249. 10 Calculate the remainder when 471 is divided by 59. 58 Calculate the remainder when 5012 is divided by 218. 216 What is the remainder when 53 is divided by 14? 11 What is the remainder when 1174 is divided by 480? 214 What is the remainder when 461 is divided by 404? 57 What is the remainder when 317 is divided by 8? 5 What is the remainder when 908 is divided by 284? 56 What is the remainder when 183 is divided by 161? 22 Calculate the remainder when 361 is divided by 15. 1 What is the remainder when 4228 is divided by 422? 8 What is the remainder when 452 is divided by 111? 8 Calculate the remainder when 3765 is divided by 8. 5 Calculate the remainder when 537 is divided by 7. 5 Calculate the remainder when 1079 is divided by 114. 53 What is the remainder when 986 is divided by 30? 26 What is the remainder when 99 is divided by 35? 29 What is the remainder when 5599 is divided by 175? 174 Calculate the remainder when 1823 is divided by 600. 23 Calculate the remainder when 250 is divided by 84. 82 Calculate the remainder when 30 is divided by 9. 3 What is the remainder when 206 is divided by 107? 99 Calculate the remainder when 1076 is divided by 4. 0 What is the remainder when 1885 is divided by 531? 292 What is the remainder when 1388 is divided by 99? 2 Calculate the remainder when 345 is divided by 107. 24 Calculate the remainder when 6092 is divided by 4. 0 Calculate the remainder when 641 is divided by 28. 25 What is the remainder when 104 is divided by 21? 20 What is the remainder when 236 is divided by 15? 11 Calculate the remainder when 9596 is divided by 343. 335 What is the remainder when 231 is divided by 44? 11 Calculate the remainder when 117 is divided by 40. 37 What is the remainder when 8050 is divided by 44? 42 Calculate the remainder when 492 is divided by 296. 196 What is the remainder when 36 is divided by 19? 17 What is the remainder when 231 is divided by 79? 73 What is the remainder when 328 is divided by 27? 4 What is the remainder when 459 is divided by 93? 87 What is the remainder when 211 is divided by 54? 49 What is the remainder when 258 is divided by 59? 22 Calculate the remainder when 460 is divided by 3. 1 What is the remainder when 578 is divided by 6? 2 What is the remainder when 808 is divided by 45? 43 What is the remainder when 135 is divided by 8? 7 What is the remainder when 284 is divided by 234? 50 What is the remainder when 4810 is divided by 2401? 8 Calculate the remainder when 30 is divided by 7. 2 What is the remainder when 688 is divided by 24? 16 Calculate the remainder when 357 is divided by 90. 87 What is the remainder when 174 is divided by 19? 3 Calculate the remainder when 10265 is divided by 26. 21 What is the remainder when 553 is divided by 89? 19 What is the remainder when 14413 is divided by 31? 29 What is the remainder when 38 is divided by 8? 6 What is the remainder when 1058 is divided by 89? 79 What is the remainder when 198 is divided by 50? 48 What is the remainder when 34 is divided by 20? 14 Calculate the remainder when 195 is divided by 44. 19 What is the remainder when 526 is divided by 14? 8 What is the remainder when 793 is divided by 114? 109 What is the remainder when 1 is divided by 1? 0 What is the remainder when 726 is divided by 212? 90 Calculate the remainder when 129 is divided by 49. 31 What is the remainder when 184 is divided by 17? 14 Calculate the remainder when 244 is divided by 19. 16 Calculate the remainder when 3646 is divided by 12. 10 Calculate the remainder when 154 is divided by 26. 24 Calculate the remainder when 98 is divided by 33. 32 What is the remainder when 354 is divided by 93? 75 Calculate the remainder when 1437 is divided by 80. 77 Calculate the remainder when 587
{ "pile_set_name": "DM Mathematics" }
se. What is prob of sequence sb? 3/110 Two letters picked without replacement from {s: 3, e: 3, m: 2, j: 5, l: 3}. What is prob of sequence ms? 1/40 Two letters picked without replacement from {o: 6, c: 2}. What is prob of sequence oo? 15/28 Two letters picked without replacement from {t: 1, r: 1, g: 1, u: 4, l: 1}. Give prob of sequence ug. 1/14 Four letters picked without replacement from {y: 3, u: 8}. Give prob of sequence yyyu. 1/165 Four letters picked without replacement from xqxqxqxqxxffi. What is prob of sequence fxxq? 2/143 Two letters picked without replacement from {r: 19, y: 1}. Give prob of sequence yr. 1/20 Three letters picked without replacement from ubtzydb. What is prob of sequence ytz? 1/210 Calculate prob of sequence qz when two letters picked without replacement from {y: 2, u: 1, q: 2, z: 1}. 1/15 Calculate prob of sequence dz when two letters picked without replacement from nddddddddddnddzdzn. 13/153 Three letters picked without replacement from ekkzxxakekakaxakk. What is prob of sequence kax? 7/340 Calculate prob of sequence hb when two letters picked without replacement from tzttbthittttbittttit. 1/190 Four letters picked without replacement from opooopr. Give prob of sequence ooor. 1/35 Three letters picked without replacement from {d: 1, p: 4, x: 1, g: 1, r: 2}. Give prob of sequence xdp. 1/126 Calculate prob of sequence lllj when four letters picked without replacement from jljljjjljjjjjjjj. 1/560 What is prob of sequence tia when three letters picked without replacement from uiauttiiauttttttuii? 40/2907 Calculate prob of sequence mam when three letters picked without replacement from mawwmwwwmaammmmwwmm. 12/323 Four letters picked without replacement from sbskhzkzczzkks. Give prob of sequence hksk. 3/2002 Four letters picked without replacement from {n: 7, c: 3, f: 3}. Give prob of sequence fnfc. 21/2860 Calculate prob of sequence ep when two letters picked without replacement from eyp. 1/6 Three letters picked without replacement from {d: 8, m: 4, x: 4}. Give prob of sequence mxm. 1/70 Three letters picked without replacement from yyilkif. What is prob of sequence ili? 1/105 Three letters picked without replacement from {l: 1, y: 2, e: 1, b: 1, c: 2}. Give prob of sequence ecc. 1/105 What is prob of sequence tze when three letters picked without replacement from czeoccotzcz? 1/330 Three letters picked without replacement from {u: 2, a: 16}. Give prob of sequence uua. 1/153 Four letters picked without replacement from {k: 7, s: 3, m: 1, q: 5}. Give prob of sequence mqqq. 1/728 Three letters picked without replacement from abrrrababbaarr. Give prob of sequence bbb. 1/91 What is prob of sequence emm when three letters picked without replacement from {e: 6, b: 7, m: 2}? 2/455 Two letters picked without replacement from {k: 1, z: 2, j: 1}. What is prob of sequence jk? 1/12 Two letters picked without replacement from migsim. What is prob of sequence gm? 1/15 What is prob of sequence uzpv when four letters picked without replacement from {u: 1, w: 1, p: 1, z: 2, v: 2, r: 1}? 1/420 Four letters picked without replacement from {m: 1, b: 2, y: 6, w: 5, n: 5}. Give prob of sequence wmyn. 25/15504 Calculate prob of sequence gopg when four letters picked without replacement from {g: 2, p: 5, o: 3, q: 3}. 1/572 Four letters picked without replacement from uvwvwvvvvwkkvkvkkk. What is prob of sequence wwwv? 1/1530 Two letters picked without replacement from hxfhf. Give prob of sequence hf. 1/5 Two letters picked without replacement from muomycufy. What is prob of sequence oy? 1/36 Calculate prob of sequence ene when three letters picked without replacement from ennee. 1/5 Calculate prob of sequence rwi when three letters picked without replacement from rwwiw. 1/20 Calculate prob of sequence jqw when three letters picked without replacement from {q: 1, c: 3, j: 3, w: 2, a: 3, x: 1}. 1/286 What is prob of sequence okok when four letters picked without replacement from {l: 4, a: 1, o: 2, k: 2}? 1/756 Calculate prob of sequence ffs when three letters picked without replacement from {z: 11, s: 1, f: 2}. 1/1092 Calculate prob of sequence nan when three letters picked without replacement from {a: 1, r: 2, q: 3, n: 4}. 1/60 What is prob of sequence zjkk when four letters picked without replacement from {k: 2, z: 1, j: 1}? 1/12 Two letters picked without replacement from {p: 2, b: 1, w: 5, g: 1, u: 1}. What is prob of sequence bg? 1/90 Two letters picked without replacement from {d: 9, y: 3}. What is prob of sequence yd? 9/44 Calculate prob of sequence bs when two letters picked without replacement from sdb. 1/6 Four letters picked without replacement from oowdooxdxfcfwc. Give prob of sequence fcfc. 1/6006 Four letters picked without replacement from esssd. Give prob of sequence essd. 1/20 Three letters picked without replacement from {u: 2, f: 3, h: 2, n: 8}. What is prob of sequence nhf? 8/455 What is prob of sequence rlre when four letters picked without replacement from rrlereerelrr? 2/99 Four letters picked without replacement from {t: 4, e: 2, m: 8}. What is prob of sequence tmem? 8/429 Calculate prob of sequence zz when two letters picked without replacement from tctczzcct. 1/36 What is prob of sequence iig when three letters picked without replacement from gigigii? 6/35 Calculate prob of sequence tete when four letters picked without replacement from {e: 5, t: 11}. 55/1092 Four letters picked without replacement from tbtrdtbtddtafff. Give prob of sequence dtdd. 1/1092 Calculate prob of sequence xx when two letters picked without replacement from xxxxxnxxxxxxxxxxxxnx. 153/190 Calculate prob of sequence zzpr when four letters picked without replacement from {s: 5, r: 1, x: 1, p: 3, z: 4}. 3/2002 Three letters picked without replacement from {s: 2, a: 1, e: 1}. Give prob of sequence sea. 1/12 Calculate prob of sequence kx when two letters picked without replacement from kgxgax. 1/15 Calculate prob of sequence hhw when three letters picked without replacement from hhhwhhhhhhhhw. 5/39 Two letters picked without replacement from wwvvwvwvvwvwvvwvwvwv. Give prob of sequence vv. 11/38 Three letters picked without replacement from {b: 4, x: 1, a: 4, g: 2, u: 5, w: 4}. Give prob of sequence xaa. 1/570 Three letters picked without replacement from sffssszssssssssts. Give prob of sequence fzf. 1/2040 Two letters picked without replacement from {h: 7}. Give prob of sequence hh. 1 Three letters picked without replacement from {i: 3, n: 1, a: 5, j: 3, d: 3}. Give prob of sequence ina. 1/182 Calculate prob of sequence voo when three letters picked without replacement from {e: 4, v: 3, q: 2, o: 2}. 1/165 Calculate prob of sequence kbd when three letters picked without replacement from bklkfbbkbffddkflbfk. 25/2907 What is prob of sequence mlm when three letters picked without replacement from {m: 2, e: 5, l: 2}? 1/126 Four letters picked without replacement from ioizzo. What is prob of sequence zoii? 1/45 Four letters picked without replacement from {d: 14, w: 4}. What is prob of sequence dwdw? 91/3060 Four letters picked without replacement from {m: 2, j: 10}. Give prob of sequence jmjj. 4/33 Two letters picked without replacement from xcxxcccccxcxcxcccc. Give prob of sequence cc. 22/51 What is prob of sequence imii when four letters picked without replacement from ppiwmimwwffffffffiwi? 2/4845 Two letters picked without replacement from eqdeqqekeqdeee. Give prob of sequence ek. 1/26 Three letters picked without replacement from ybmymbqq. What is prob of sequence qbm? 1/42 Two letters picked without replacement from gghrgrrhhhghhrhhhhg. What is prob of sequence rr? 2/57 Calculate prob of sequence lf when two letters picked without replacement from lflflfllllf. 14/55 Four letters picked without replacement from {i: 3, h: 2, b: 1, l: 3, e: 1}. Give prob of sequence iibh. 1/420 Two letters picked without replacement from hhhhshs. What is prob of sequence hh? 10/21 What is prob of sequence xf when two letters picked without replacement from {d: 2, x: 1, z: 8, h: 3, l: 4, f: 2}? 1/190 Two letters picked without replacement from {j: 2, o: 1, g: 9, u: 2}. What is prob of sequence ug? 9/91 Calculate prob of sequence kf when two letters picked without re
{ "pile_set_name": "DM Mathematics" }
46, 1583, 2046, 2535? 13*k**2 + 346*k - 9 What is the j'th term of -4474, -4436, -4340, -4162, -3878, -3464? 4*j**3 + 5*j**2 - 5*j - 4478 What is the r'th term of -142313070, -284626134, -426939200, -569252268, -711565338, -853878410, -996191484? -r**2 - 142313061*r - 8 What is the y'th term of -1285588, -2571178, -3856768? -1285590*y + 2 What is the i'th term of 5355, 4448, 3541? -907*i + 6262 What is the h'th term of 3570, 6306, 9042, 11778? 2736*h + 834 What is the w'th term of 291, 2748, 9445, 22524, 44127, 76396, 121473, 181500? 357*w**3 - 22*w**2 + 24*w - 68 What is the i'th term of 22269, 44452, 66469, 88236, 109669, 130684? -14*i**3 + i**2 + 22278*i + 4 What is the a'th term of -183460372, -183460369, -183460366, -183460363, -183460360, -183460357? 3*a - 183460375 What is the v'th term of 119959, 959697, 3238973, 7677553, 14995203? 119961*v**3 + 3*v**2 + 2*v - 7 What is the d'th term of -5561474, -11122941, -16684408, -22245875? -5561467*d - 7 What is the x'th term of 4382, 4994, 5618, 6260, 6926? x**3 + 605*x + 3776 What is the f'th term of -69505, -138841, -208177? -69336*f - 169 What is the u'th term of 126384411, 126384410, 126384409, 126384408, 126384407, 126384406? -u + 126384412 What is the l'th term of 4843131, 4843141, 4843155, 4843173? 2*l**2 + 4*l + 4843125 What is the v'th term of 73790, 73795, 73802, 73811, 73822, 73835, 73850? v**2 + 2*v + 73787 What is the s'th term of 26412, 52861, 79350, 105879, 132448? 20*s**2 + 26389*s + 3 What is the k'th term of 2166245, 4332491, 6498737, 8664983, 10831229, 12997475? 2166246*k - 1 What is the k'th term of -5329, -9683, -14057, -18457, -22889, -27359, -31873, -36437? -k**3 - 4*k**2 - 4335*k - 989 What is the d'th term of -680, -2035, -4256, -7343, -11296? -433*d**2 - 56*d - 191 What is the x'th term of 23192020, 46384047, 69576074, 92768101, 115960128? 23192027*x - 7 What is the l'th term of 6246, 11723, 17200? 5477*l + 769 What is the l'th term of 1600, 2621, 4102, 6049, 8468, 11365? l**3 + 224*l**2 + 342*l + 1033 What is the p'th term of 5714, 22066, 49318, 87470, 136522? 5450*p**2 + 2*p + 262 What is the w'th term of -1530433, -1530407, -1530381, -1530355, -1530329? 26*w - 1530459 What is the m'th term of -18101854, -18101856, -18101858? -2*m - 18101852 What is the s'th term of 4069446, 8138901, 12208356, 16277811, 20347266? 4069455*s - 9 What is the c'th term of 42513, 64094, 85675, 107256? 21581*c + 20932 What is the a'th term of 9062260, 36249042, 81560346, 144996172, 226556520? 9062261*a**2 - a What is the n'th term of 20141, 22237, 24335, 26435, 28537? n**2 + 2093*n + 18047 What is the t'th term of -3806, -30483, -102994, -244289, -477318, -825031, -1310378, -1956309? -3825*t**3 + 33*t**2 - t - 13 What is the v'th term of 397483, 794971, 1192461, 1589953, 1987447, 2384943, 2782441? v**2 + 397485*v - 3 What is the q'th term of 8824, 30061, 65456, 115009? 7079*q**2 + 1745 What is the a'th term of 120180, 240426, 360668, 480906, 601140, 721370? -2*a**2 + 120252*a - 70 What is the k'th term of -5341, -21662, -48933, -87160, -136349, -196506? -k**3 - 5469*k**2 + 93*k + 36 What is the w'th term of -258978, -258129, -257280, -256431, -255582, -254733? 849*w - 259827 What is the p'th term of 567, 687, 861, 1089, 1371, 1707? 27*p**2 + 39*p + 501 What is the k'th term of -47553, -47796, -48039, -48282? -243*k - 47310 What is the u'th term of -37247, -35122, -32997? 2125*u - 39372 What is the t'th term of 9399, 18886, 28377, 37872? 2*t**2 + 9481*t - 84 What is the o'th term of 7157101, 7157110, 7157125, 7157146, 7157173? 3*o**2 + 7157098 What is the s'th term of 16032, 15874, 15648, 15354, 14992, 14562? -34*s**2 - 56*s + 16122 What is the c'th term of 824768710, 1649537421, 2474306132, 3299074843? 824768711*c - 1 What is the b'th term of 273, 1104, 2387, 4122, 6309, 8948, 12039? 226*b**2 + 153*b - 106 What is the n'th term of -394, -338, -266, -178, -74, 46? 8*n**2 + 32*n - 434 What is the s'th term of -41412465, -82824928, -124237391? -41412463*s - 2 What is the q'th term of -2224, -16775, -55962, -132103, -257516, -444519? -2053*q**3 - 180*q + 9 What is the v'th term of 63076, 63094, 63128, 63184, 63268, 63386, 63544? v**3 + 2*v**2 + 5*v + 63068 What is the p'th term of 76001, 305383, 687687, 1222913? 76461*p**2 - p - 459 What is the x'th term of -125, -1794, -4635, -8648, -13833? -586*x**2 + 89*x + 372 What is the c'th term of 4794484, 4794425, 4794368, 4794313? c**2 - 62*c + 4794545 What is the h'th term of -65532, -63915, -61220, -57447, -52596, -46667? 539*h**2 - 66071 What is the f'th term of 7255, 14416, 21583, 28756? 3*f**2 + 7152*f + 100 What is the r'th term of -30864, -218521, -727874, -1719771, -3355060? -26808*r**3 - r - 4055 What is the g'th term of 63588, 126915, 190242? 63327*g + 261 What is the b'th term of 818552, 818490, 818428? -62*b + 818614 What is the j'th term of 6257157, 12514299, 18771441? 6257142*j + 15 What is the n'th term of -1082482, -1082480, -1082478, -1082476, -1082474? 2*n - 1082484 What is the o'th term of -26498, -53901, -81304, -108707, -136110, -163513? -27403*o + 905 What is the q'th term of 219740, 878761, 1977136, 3514871, 5491972, 7908445, 10764296? q**3 + 219671*q**2 + q + 67 What is the a'th term of 3079, 15141, 35245, 63391, 99579? 4021*a**2 - a - 941 What is the x'th term of 48762, 194193, 436284, 775029, 1210422, 1742457, 2371128? -x**3 + 48336*x**2 + 430*x - 3 What is the q'th term of 1082406, 2164801, 3247196, 4329591? 1082395*q + 11 What is the l'th term of 403076, 806152, 1209228, 1612304, 2015380, 2418456? 403076*l What is the o'th term of -313, 2848, 11411, 28076, 55543, 96512? 450*o**3 + o**2 + 8*o - 772 What is the k'th term of 57447, 59116, 61889, 65760, 70723? -k**3 + 558*k**2 + 2*k + 56888 What is the k'th term of -10744, -42952, -96644, -171826, -268504, -386684, -526372? -k**3 - 10736*k**2 + 7*k - 14 What is the w'th term of 81209634, 162419264, 243628894, 324838524, 406048154, 487257784? 81209630*w + 4 What is the a'th term of -2923, -11820, -26687, -47518, -74307? a**3 - 2991*a**2 + 69*a - 2 What is the z'th term of -42, -551, -1914, -4551, -8882, -15327, -24306? -70*z**3 - 7*z**2 + 2*z + 33 What is the v'th term of -2530, -1556, -582? 974*v - 3504 What is the o'th term of 841635, 1683266, 2524897, 3366528, 4208159, 5049790? 841631*o + 4 What is the s'th term of 52, 465, 1128, 2041? 125*s**2 + 38*s - 111 What is the c'th term of -426554442, -426554441, -426554440? c - 426554443 What is the h'th term of -113670, -454650, -1022954, -1818582, -2841534? -113662*h**2 + 6*h - 14 What is the d'th term of -81040, -81082, -81160, -81292, -81496, -81790, -82192? -3*d**3 - 21*d - 81016 What is the l'th term of 2326, 5239, 8752, 12865, 17578? 300*l**2 + 2013*l + 13 What is the g'th term of -824, -3266, -7358, -13136, -20636? -6*g**3 - 789*g**2 - 33*g + 4 What is the p'th term of 103838, 103830, 103818, 103802, 103782, 103758, 103730? -2*p**2 - 2*p + 103842 What is the j'th term of -98648229, -98648228, -98648227, -98648226? j - 98648230 What is the z'th term of -461311, -922632, -1383961, -1845304, -2306667? -z**3 + 2*z**2 - 461320*z + 8 What is the x'th term of -847, -2379, -3901, -5407, -6891, -8347? x**3 - x**2 - 1536*x + 689 What is the j'th term of -4055, -4122, -4195, -4274, -4359? -3*j**2 - 58*j - 3994 What is the i'th term of -311138, -311143, -311148? -5*i - 311133 What is the s'th term of 2474467, 2474475, 2474481, 2474485, 2474487, 2474487? -s**2 + 11*s + 2474457 What is the i'th term of -16387, -65162, -146451, -260248, -406547, -585342, -796627, -1040396? i**3 - 16263*i**2 + 7*i - 132 What is the s'th term of -230057, -460258, -690467, -920684, -1150909, -1381142? -4*s**2 - 230189*s + 136 What is the v'th term of 5827, 5732, 5639, 5548, 5459, 5372? v**2 - 98*v + 5924 What is the v'th term of -3317173, -6634353, -9951539, -13268731? -3*v**2 - 3317171*v + 1 What is the g'th term of -5644243, -11288492, -16932741, -22576990, -28221239, -33865488? -5644249*g + 6 What is the h'th term of -170, 213, 852, 1747, 2898? 128*h**2 - h - 297 What is the z'th term of 14765, 29550, 44373, 59246, 74181, 89190, 104285? 2*z**3 + 7*z**2 + 14750*z + 6 What is the y'th term of -9768, -20480, -33110, -48618, -67964? -160*y**3 + y**2 - 959
{ "pile_set_name": "DM Mathematics" }
re there between 10:12 PM and 8:00 AM? 588 How many minutes are there between 8:33 PM and 9:35 PM? 62 How many minutes are there between 4:35 PM and 1:19 AM? 524 How many minutes are there between 7:52 AM and 6:59 PM? 667 How many minutes are there between 1:52 AM and 6:01 AM? 249 How many minutes are there between 12:47 PM and 1:58 PM? 71 What is 33 minutes before 1:34 PM? 1:01 PM How many minutes are there between 1:30 AM and 12:37 PM? 667 How many minutes are there between 2:21 PM and 9:00 PM? 399 What is 558 minutes before 4:39 PM? 7:21 AM What is 692 minutes after 3:18 PM? 2:50 AM What is 655 minutes after 1:39 AM? 12:34 PM How many minutes are there between 4:11 PM and 12:04 AM? 473 How many minutes are there between 4:58 PM and 7:27 PM? 149 How many minutes are there between 11:55 PM and 2:40 AM? 165 What is 416 minutes after 9:59 AM? 4:55 PM What is 170 minutes before 1:29 PM? 10:39 AM How many minutes are there between 12:07 AM and 10:43 AM? 636 How many minutes are there between 8:29 PM and 3:33 AM? 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8:01 AM What is 553 minutes after 12:25 AM? 9:38 AM What is 14 minutes after 2:00 PM? 2:14 PM How many minutes are there between 3:46 AM and 7:50 AM? 244 How many minutes are there between 9:10 PM and 8:55 AM? 705 How many minutes are there between 8:15 PM and 8:21 PM? 6 How many minutes are there between 12:54 PM and 8:40 PM? 466 What is 191 minutes after 2:55 PM? 6:06 PM How many minutes are there between 3:29 PM and 2:08 AM? 639 What is 514 minutes after 2:59 AM? 11:33 AM How many minutes are there between 1:59 PM and 6:10 PM? 251 How many minutes are there between 7:30 PM and 6:22 AM? 652 What is 175 minutes after 6:13 PM? 9:08 PM How many minutes are there between 10:49 AM and 5:43 PM? 414 What is 458 minutes before 7:54 AM? 12:16 AM What is 39 minutes before 9:01 AM? 8:22 AM How many minutes are there between 9:42 PM and 10:35 PM? 53 How many minutes are there between 8:15 AM and 3:23 PM? 428 How many minutes are there between 7:40 PM and 4:52 AM? 552 How many minutes are there between 9:50 PM and 5:02 AM? 432 How many minutes are there between 3:32 AM and 1:16 PM? 584 What is 309 minutes before 5:54 PM? 12:45 PM What is 501 minutes before 3:40 AM? 7:19 PM What is 59 minutes after 1:33 PM? 2:32 PM What is 159 minutes before 4:55 PM? 2:16 PM What is 416 minutes before 6:38 PM? 11:42 AM What is 703 minutes before 3:54 PM? 4:11 AM How many minutes are there between 9:09 AM and 1:52 PM? 283 What is 318 minutes after 10:01 PM? 3:19 AM How many minutes are there between 6:24 PM and 2:03 AM? 459 How many minutes are there between 7:11 PM and 4:57 AM? 586 What is 152 minutes after 3:19 AM? 5:51 AM What is 559 minutes after 9:33 AM? 6:52 PM What is 42 minutes after 5:34 AM? 6:16 AM How many minutes are there between 7:05 PM and 4:35 AM? 570 How many minutes are there between 9:13 PM and 8:44 AM? 691 What is 625 minutes before 9:20 AM? 10:55 PM What is 680 minutes before 1:41 AM? 2:21 PM What is 462 minutes after 3:15 PM? 10:57 PM How many minutes are there between 9:45 PM and 8:31 AM? 646 What is 355 minutes after 8:26 PM? 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111 How many minutes are there between 8:22 AM and 3:08 PM? 406 How many minutes are there between 10:18 PM and 3:04 AM? 286 What is 546 minutes before 3:37 AM? 6:31 PM What is 186 minutes before 1:26 AM? 10:20 PM How many minutes are there between 6:46 PM and 2:46 AM? 480 How many minutes are there between 2:17 AM and 10:29 AM? 492 What is 158 minutes after 9:59 AM? 12:37 PM How many minutes are there between 2:43 AM and 1:19 PM? 636 How many minutes are there between 2:59 AM and 2:26 PM? 687 How many minutes are there between 1:58 PM and 9:01 PM? 423 How many minutes are there between 6:44 PM and 4:14 AM? 570 How many minutes are there between 6:18 AM and 11:21 AM? 303 What is 448 minutes before 10:56 PM? 3:28 PM How many minutes are there between 12:42 AM and 3:21 AM? 159 How many minutes are there between 12:26 AM and 8:27 AM? 481 How many minutes are there between 4:35 PM and 8:46 PM? 251 How many minutes are there between 1:06 PM and 8:54 PM? 468 What is 237 minutes before 11:53 PM? 7:56 PM What
{ "pile_set_name": "DM Mathematics" }