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b) -0.2 (c) -3 (d) 1/17 (e) 2/3 d What is the closest to 72/53 in -2/9, -3, 0.1, -4? 0.1 Which is the nearest to 109? (a) 3/16 (b) 0.6 (c) -663 b Which is the closest to 0.2? (a) 4 (b) -1 (c) -0.05 (d) -12 (e) 0.14 e Which is the closest to 69? (a) -3/592 (b) 8/5 (c) -1/5 (d) 0.3 (e) -1/4 (f) -3 b Which is the nearest to -1.2? (a) 3 (b) 0.2 (c) 0.1 (d) 0.03 (e) 2845 d Which is the closest to 0? (a) 65 (b) 8 (c) -0.1 (d) 42/1013 (e) 0.5 d Which is the closest to 25244/7? (a) 26 (b) 0.2 (c) -2 a Which is the nearest to 1229515? (a) 0 (b) -4 (c) -12 a Which is the nearest to 0.9? (a) -0.2 (b) 3 (c) 32/1545 (d) 0.4 d Which is the closest to 0.05? (a) -2/25 (b) 5 (c) -0.3 (d) 55 (e) 4 a What is the closest to -144 in 1, -17, 10, 2? -17 Which is the closest to -2/7? (a) -1 (b) 1 (c) -3 (d) 28/64011 d Which is the closest to -4? (a) -686.5 (b) -4 (c) 5 b Which is the nearest to -775/1159? (a) -1/2 (b) -4/5 (c) 8 b What is the nearest to -124428/23 in 2/23, 4/5, 0.5, 5/3? 2/23 Which is the closest to 2/9? (a) -17842 (b) -195 (c) -5 (d) -4 d What is the closest to -12381/29 in -0.3, -0.1, 4, -40? -40 Which is the nearest to 1? (a) -2.3 (b) -7/36 (c) 9.983 b Which is the nearest to 2/5? (a) 15275 (b) 1 (c) -0.5 (d) 5 (e) 0.14 e What is the nearest to -5598 in -3, 0.01, -2? -3 Which is the closest to -0.17? (a) -3/8 (b) -6 (c) -16 (d) 2/13 (e) 3 (f) -53.1 a Which is the nearest to -1.697? (a) -7 (b) -36.8 (c) -2/7 c What is the nearest to 1 in -0.2, -2, -1/17, -168.9? -1/17 What is the nearest to -4 in 1/2, -4/5, -33067, -1, 0? -1 Which is the nearest to -116836? (a) 0.4 (b) 3 (c) -179 c Which is the closest to 7044? (a) -1 (b) 1/6 (c) -79/7 b What is the nearest to 1141.73 in 2, 0.5, -3, 1? 2 What is the closest to 9 in -0.3, -0.2, 0.12, 439, 0? 0.12 What is the closest to 0.1 in 0, 3/5, 59, 1562, -0.1? 0 What is the nearest to -2/5 in 5/4, -0.19, -26.3, 3/22? -0.19 Which is the closest to -5? (a) -32 (b) 2 (c) 322/5 (d) 2/11 d What is the closest to -1 in 1, 26, 4, -5, 16/79? 16/79 Which is the nearest to -16? (a) -689 (b) 3 (c) 28 (d) 0 d What is the nearest to 8 in -3/4, -0.1, -4, -279, -5/4, 0.09? 0.09 Which is the closest to -1/3? (a) -1009 (b) -7/38 (c) 1/4 b What is the nearest to 1 in -2/5, -207, -2241? -2/5 What is the nearest to 1 in 0.1, -1/4, 0, 3/4, 2/55, 39/5? 3/4 What is the nearest to -2/5 in -3/7, -0.03, 10/7, -1066? -3/7 Which is the closest to -2/9? (a) -2290 (b) -0.04 (c) -5 (d) -19 b Which is the nearest to -18? (a) 2/31 (b) 5 (c) 0 (d) -91 (e) -119 (f) 0.5 c What is the closest to 2.99 in 4/85, -8, 0? 4/85 What is the closest to 4 in -1/5, 0.1, -3, -1/6, -33/10? 0.1 What is the closest to -2 in 3, 1/189, -1/46, 2, -0.05? -0.05 What is the closest to -1 in 2, -0.2, -664, -5075? -0.2 What is the closest to 0.2 in -2, 261, -3, 8716, 2/5, -2/11? 2/5 Which is the closest to 1? (a) 1/4 (b) -5 (c) 4 (d) 112996 (e) -4/3 (f) 0.4 f What is the closest to -0.41 in 1, 1.1, -727, -1/2, 11, 3/5? -1/2 Which is the closest to -1? (a) -1/10 (b) -1/5 (c) 6/11 (d) 2/9 (e) -1/96 b What is the closest to 10801 in 6/61, -3/2, -0.6, 0.5, 2/5? 0.5 Which is the nearest to 146/11? (a) -2/13 (b) -1/10 (c) 64/15 c Which is the closest to 3? (a) 1/157 (b) 302 (c) 2 (d) 9 c Which is the nearest to 7? (a) -12831 (b) 4 (c) 28 (d) -2 (e) 1/7 b Which is the closest to -1? (a) 4 (b) -0.5 (c) 0.2 (d) -14 (e) -9.35 (f) 5 b What is the nearest to 148 in 368, 5, 0, 2/7, 2/9? 5 What is the nearest to -11 in -6, 1598, -2? -6 What is the nearest to -0.8 in -240, 5, -137? 5 Which is the closest to 1/4? (a) -167.432 (b) -40 (c) -4 c Which is the nearest to -0.1? (a) 3219 (b) 6 (c) -179 b Which is the nearest to -2/3? (a) 2 (b) 4 (c) 0.2 (d) -2266 (e) 63/23 c Which is the nearest to 66.02? (a) -1 (b) -4/7 (c) -15 (d) 2 d What is the closest to 30 in -90, -0.1, 2/43, 4/9, 2/9, -0.4? 4/9 What is the closest to 5.6 in 9/10, -1/5, 14/9? 14/9 Which is the nearest to 1? (a) 2/11 (b) 3/4 (c) -302.25 (d) -3/17 (e) -3/4 b Which is the closest to 0.02? (a) -8352/11 (b) -7 (c) -0.12 c What is the closest to 2/9 in 1, -12676, 32, 6/5, 3? 1 What is the closest to -2/5 in -0.2, 2, 0.4808, -0.1, 5? -0.2 Which is the nearest to -1/2? (a) 10281 (b) -0.4 (c) 4 (d) 3 b What is the closest to -1 in -38, -3431, -19/2, -1/2? -1/2 Which is the closest to -6170? (a) -1/4 (b) -1/5 (c) -127 (d) 0 c Which is the closest to -29? (a) 0 (b) -5 (c) 7 (d) 0.2 (e) -6/65 b Which is the nearest to 0.0721? (a) -4 (b) -40 (c) 565 a What is the closest to -2304 in -1563, 0.2, -1/3? -1563 Which is the nearest to 991? (a) -104 (b) -33/5 (c) 2/3 c What is the nearest to 2.98 in -2/11, -7, 1.476, 1? 1.476 What is the nearest to 2/5 in -2/7, 1.1975, 205, -13/2? -2/7 Which is the closest to -14/6059? (a) 2/3 (b) -5 (c) -29 (d) 1 (e) 2/13 e Which is the nearest to 1/1553? (a) 3/5 (b) 4 (c) 0.4 (d) 3 c What is the nearest to -0.1 in 3/7, -28, 1.194, 67? 3/7 Which is the closest to 0.078? (a) 1/8 (b) -33 (c) -28.6 (d) 4 (e) -0.4 a Which is the closest to 89? (a) 0.1 (b) -63/73 (c) -0.4 (d) 2/17 (e) -0.2 d What is the closest to 0 in -159, -3/5, -5, 15? -3/5 What is the closest to 3 in -1183/6, 2, -1/3, -4? 2 Which is the closest to -6993? (a) -207 (b) -5/3 (c) -0.4 a Which is the closest to 15? (a) -1 (b) -0.232 (c) 2931 (d) 1/3 d What is the closest to 0.04 in 6, 0.17, 1/5, 2/9, 3, 32? 0.17 Which is the closest to -37? (a) -7395 (b) -0.1 (c) 0.4 (d) 4 b Which is the closest to 0.1? (a) -0.4 (b) -115 (c) -2 (d) -1/31 (e) -1224 d What is the closest to 6 in 14, 0.7, -93, 2/59? 0.7 What is the nearest to -4 in -3, -16818, -8? -3 Which is the nearest to 65260? (a) 3/23 (b) -10 (c) 2 c What is the closest to 21 in -0.06777, 2/11, 0, 4/5, -0.1? 4/5 What is the closest to -912.6 in -0.05, 0.46, -2/11? -2/11 What is the nearest to 0.2 in 9, -29145, 7, -0.5? -0.5 Which is the closest to 0? (a) -0.013 (b) -2/17 (c) 0.1246 (d) -4 a Which is the closest to -0.3? (a) 120 (b) 47/4 (c) -29 (d) -0.4 d Which is the closest to -1? (a) 6/103 (b) -1.2 (c) -3/5 (d) -3 (e) -0.008 b Which is the closest to 14? (a) 0.07 (b) 78 (c) -1/4 (d) -1.3 (e) 1 e Which is the closest to 40.88? (a) -3 (b) 3/8 (c) -82 b What is the closest to 80 in -2131, -4/5, 3/4, -0.07? 3/4 What is the nearest to 0 in -1/7, 90/7, 720, -0.1, -2? -0.1 Which is the closest to 1/4? (a) 1/6 (b) -2/15 (c) -5 (d) -28 (e) 16 (f) -4 a What is the closest to -4.9 in -755, 5, -331, -1/5, 2/7? -1/5 Which is the nearest to 225? (a) -3/5 (b) 1 (c) -22 (d) 15 (e) 2 d What is the closest to 5 in 0, -1, 16, -59, 0.2, -0.32? 0.2 Which is the nearest to -4/945? (a) -2/5 (b) 3 (c) -2/17 (d) 9/191 (e) 1/5 d What is the closest to 2 in -0.3, 308.3, -33? -0.3 Which is the closest to 166? (a) 2/23 (b) 0.1 (c) -1.87 (d) 1 d What is the closest to -149/5 in 21, 0.5, 15? 0.5 What is the nearest to -0.8 in 0.3, 3, -5, -6/17, 11.78, -1? -1 Which is the nearest to 1/3? (a) 3 (b) -9 (c) -587 (d) 0.7 d What is the closest to 0.07 in 0.971, -5, 149? 0.971 Which is the nearest to -2/5? (a) -1 (b) -2133 (c) -0.1 c What is the closest to -15.1 in 4, 3/4, 2659/2? 3/4 Which is the nearest to -205? (a) 2/15 (b) -1/3 (c) 2097 b Which is the nearest to 0.7? (a) -350/29 (b) 0 (c) 1/5 c What is the closest to -2 in 0.019, -0.036, 97, 6? -0.036 Which is the nearest to 124? (a) 20 (b) 137 (c) 2/81 b What is the nearest to 0.4 in 81, -135, 4, 31? 4 What is the closest to -11 in -1, 1/2, -257, -13, 162, 3? -13 Which is the nearest to 5/181? (a) -3/2 (b) 41 (c) -6 (d) -0.1 d What is the nearest to 1 in 2108, -17/12, 0.1, 5, -0.5? 0.1 What is the nearest to 4/5 in -14/9, -2/1047, 0? 0 Which is the closest to -0.8702? (a) 0.5 (b) 0.1 (c) 1 (d) -114 b Which is the nearest to -1469? (a) 2.54 (b) 1.2 (c) 1/4 c Which is the nearest to 24/11? (a) -5 (b) 2/11 (c) -0.38 (d) -3 (e) 4 e Which is the closest to 1/2? (a) -0.01 (b) 1/6 (c) -563671 (d) -2 (e) -0.5 b What is the nearest to -784 in 146, -0.003, -3, 0, -2? -3 Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
or of 290 and 6235. 145 What is the highest common divisor of 1593 and 27? 27 What is the highest common divisor of 912 and 532? 76 What is the greatest common factor of 884 and 85? 17 What is the highest common factor of 17 and 5? 1 Calculate the highest common divisor of 18 and 438. 6 Calculate the greatest common divisor of 162 and 2. 2 What is the highest common factor of 4030 and 910? 130 Calculate the highest common divisor of 23 and 25001. 23 What is the highest common divisor of 6 and 12? 6 What is the highest common factor of 6948 and 72? 36 Calculate the highest common factor of 7 and 448. 7 What is the greatest common divisor of 26 and 6331? 13 Calculate the highest common divisor of 34 and 156. 2 What is the highest common divisor of 15 and 345? 15 Calculate the highest common factor of 296 and 132. 4 What is the greatest common factor of 5 and 5? 5 Calculate the greatest common factor of 4080 and 16. 16 Calculate the greatest common factor of 529 and 23. 23 Calculate the greatest common factor of 836 and 8. 4 What is the highest common factor of 1260 and 7? 7 Calculate the greatest common factor of 18 and 558. 18 What is the highest common divisor of 266 and 6251? 133 Calculate the greatest common divisor of 33 and 803. 11 What is the greatest common factor of 5250 and 42? 42 What is the highest common divisor of 126 and 252? 126 Calculate the highest common factor of 180 and 1644. 12 Calculate the greatest common factor of 11557 and 13. 13 What is the greatest common factor of 14036 and 4? 4 Calculate the greatest common divisor of 728 and 4914. 182 What is the highest common divisor of 37 and 296? 37 What is the greatest common divisor of 32 and 1184? 32 Calculate the greatest common divisor of 20 and 24. 4 Calculate the highest common divisor of 676 and 182. 26 Calculate the highest common divisor of 19 and 1463. 19 Calculate the greatest common factor of 14 and 4886. 14 What is the greatest common factor of 39 and 93? 3 What is the highest common divisor of 4 and 292? 4 What is the greatest common factor of 495 and 594? 99 What is the greatest common factor of 21 and 2919? 21 Calculate the greatest common divisor of 20280 and 10. 10 Calculate the greatest common factor of 480 and 192. 96 What is the highest common divisor of 180 and 684? 36 Calculate the highest common divisor of 192 and 24. 24 Calculate the greatest common factor of 91 and 117. 13 What is the greatest common factor of 3349 and 197? 197 What is the highest common divisor of 8388 and 12? 12 What is the greatest common factor of 201 and 5226? 201 What is the highest common divisor of 98 and 42? 14 What is the greatest common factor of 1225 and 10? 5 What is the highest common factor of 888 and 264? 24 What is the greatest common factor of 440 and 120? 40 What is the greatest common divisor of 11072 and 865? 173 What is the highest common divisor of 2420 and 20? 20 Calculate the greatest common divisor of 123 and 14883. 123 Calculate the greatest common divisor of 196 and 7. 7 What is the highest common divisor of 90 and 3015? 45 Calculate the highest common factor of 350 and 1025. 25 What is the highest common factor of 1194 and 132? 6 What is the greatest common factor of 75 and 165? 15 What is the greatest common factor of 9540 and 106? 106 What is the greatest common factor of 30150 and 90? 90 What is the greatest common divisor of 15174 and 54? 54 What is the greatest common divisor of 2627 and 71? 71 What is the greatest common divisor of 534 and 6? 6 Calculate the greatest common divisor of 1211 and 28. 7 What is the highest common factor of 70 and 112? 14 Calculate the highest common factor of 70 and 245. 35 What is the greatest common factor of 19642 and 644? 322 What is the highest common divisor of 975 and 260? 65 What is the highest common divisor of 22644 and 148? 148 Calculate the highest common divisor of 4 and 324. 4 Calculate the highest common divisor of 14 and 322. 14 Calculate the greatest common divisor of 203 and 116. 29 Calculate the highest common factor of 78 and 143. 13 What is the greatest common factor of 1137 and 30? 3 What is the highest common divisor of 24 and 228? 12 Calculate the highest common divisor of 999 and 37. 37 Calculate the greatest common divisor of 37 and 592. 37 Calculate the highest common factor of 603 and 134. 67 Calculate the greatest common factor of 57 and 969. 57 What is the highest common factor of 148 and 1258? 74 What is the greatest common factor of 2 and 6866? 2 What is the greatest common divisor of 100 and 940? 20 What is the highest common divisor of 132 and 88? 44 Calculate the greatest common factor of 1076 and 96. 4 Calculate the highest common factor of 22500 and 720. 180 What is the greatest common factor of 108 and 243? 27 Calculate the highest common divisor of 221 and 51. 17 Calculate the greatest common divisor of 21 and 9. 3 Calculate the highest common divisor of 16 and 36. 4 Calculate the greatest common factor of 377 and 986. 29 What is the greatest common factor of 4636 and 1952? 244 What is the greatest common divisor of 6154 and 136? 34 What is the highest common divisor of 22 and 3179? 11 Calculate the highest common factor of 91 and 945. 7 What is the greatest common divisor of 5157 and 955? 191 What is the highest common factor of 6224 and 16? 16 Calculate the highest common factor of 96 and 36. 12 Calculate the highest common divisor of 518 and 1708. 14 Calculate the greatest common factor of 10 and 21560. 10 Calculate the highest common factor of 88 and 55. 11 What is the greatest common divisor of 1458 and 252? 18 Calculate the highest common divisor of 68 and 34. 34 What is the greatest common factor of 247 and 2483? 13 Calculate the highest common divisor of 112 and 259. 7 Calculate the greatest common divisor of 16 and 1256. 8 What is the highest common divisor of 288 and 48? 48 Calculate the greatest common factor of 609 and 348. 87 What is the highest common divisor of 4825 and 25? 25 What is the highest common divisor of 4480 and 112? 112 What is the highest common divisor of 30 and 414? 6 What is the greatest common factor of 902 and 82? 82 What is the greatest common factor of 27 and 702? 27 Calculate the highest common factor of 533 and 689. 13 Calculate the greatest common factor of 5 and 320. 5 Calculate the greatest common divisor of 285 and 114. 57 Calculate the highest common divisor of 123 and 205. 41 Calculate the highest common factor of 228 and 722. 38 Calculate the highest common divisor of 180 and 12. 12 What is the greatest common divisor of 2526 and 6? 6 What is the greatest common factor of 3810 and 45? 15 What is the highest common factor of 272 and 24? 8 Calculate the greatest common factor of 864 and 32. 32 What is the highest common factor of 5 and 2105? 5 Calculate the greatest common factor of 1420 and 20. 20 What is the greatest common divisor of 3665 and 10? 5 Calculate the greatest common divisor of 1349 and 57. 19 What is the highest common factor of 7932 and 24? 12 What is the highest common factor of 4267 and 3263? 251 What is the greatest common factor of 11849 and 123? 41 What is the highest common divisor of 46 and 4784? 46 What is the highest common factor of 5075 and 275? 25 What is the highest common factor of 2622 and 230? 46 What is the greatest common divisor of 48 and 60? 12 What is the highest common divisor of 14 and 4270? 14 Calculate the highest common divisor of 9156 and 84. 84 Calculate the highest common divisor of 448 and 11872. 224 What is the greatest common factor of 496 and 16? 16 What is the greatest common factor of 2 and 190? 2 Calculate the highest common factor of 117 and 3159. 117 What is the greatest common factor of 2728 and 88? 88 Calculate the highest common divisor of 178 and 2848. 178 What is the highest common divisor of 1823 and 4? 1 Calculate the highest common factor of 11107 and 29. 29 What is the highest common divisor of 325 and 125? 25 What is the greatest common factor of 195 and 4160? 65 Calculate the highest common divisor of 150 and 24. 6 Calculate the greatest common factor of 150 and 3675. 75 What is the highest common factor of 592 and 37? 37 What is the highest common factor of 100 and 250? 5
{ "pile_set_name": "DM Mathematics" }
- i = x. What is the remainder when u is divided by 27? 26 Suppose 0 = -554*o + 558*o - j - 5805, j = 2*o - 2905. What is the remainder when o is divided by 479? 13 Suppose g + 0*g = -5*z + 46, -z + 10 = g. Suppose -275 = -4*u + 5*p, 2*p - 4 - 6 = 0. Let k = u - 58. Calculate the remainder when k is divided by z. 8 Suppose 0 = -4*b, 6*m - 3*m + 20*b - 21*b - 1674 = 0. Calculate the remainder when m is divided by 95. 83 Suppose 5*r = -5*f + 10, -2 = -r + f + f. Suppose 3*y - 20 = r*j, -j + 0 = 4. Suppose -11*x + y*x = -14. What is the remainder when x is divided by 1? 0 Suppose 3*h + 3*h - 228 = 0. Suppose -2 + h = -u. Let r = -27 - u. What is the remainder when 52 is divided by r? 7 Calculate the remainder when 606 is divided by ((174/(-15))/(-1))/((-4)/(-60)*2). 84 Let g = 23 + 7. Let m = 11 + g. Suppose 307*h - 300*h - 112 = 0. What is the remainder when m is divided by h? 9 Calculate the remainder when 2535 is divided by 0/(-2 - (-5 + 8)/(-1)) - -54. 51 Suppose 4*d = -4*b + 516, 0 = -3*b - 4*d + 579 - 189. Calculate the remainder when 234 is divided by b. 108 Suppose -112*x + 659 = -2701. Calculate the remainder when 84 is divided by x. 24 Let l be (-86)/129*150/4. What is the remainder when 135 is divided by -84*(l/(-15) + -2 + 0)? 23 Suppose -4415 = -32*p + 3610 - 1945. Calculate the remainder when p is divided by 109. 81 Let a(q) = q**2 + 14*q + 21. Let b be a(-13). Let o(j) = 2*j - 16. Let v be o(b). Suppose -6*y + 8*y - 68 = v. What is the remainder when y is divided by 9? 7 Let k(z) = -2*z**2 + 10*z - 18. Let g be k(9). Let s be g/40*8/3. What is the remainder when 93 is divided by 1 + (-46)/s*3? 21 Let l(j) = 4*j**3 - 3*j**2 - 24*j + 19. Let g be l(-6). Let i = 830 + g. Calculate the remainder when 40 is divided by i. 19 Suppose 410 - 1056 = 38*q. Calculate the remainder when q*(-4 + 3)*(-3)/(-1) is divided by 31. 20 Suppose -35*d + 7540 = 342*d. What is the remainder when 813 is divided by d? 13 Let w(t) = 6*t**2 - 2*t**2 + 6 + 10*t - 3*t. Let m = 689 + -650. What is the remainder when w(-7) is divided by m? 36 Suppose 971 = 10*y - 739. Calculate the remainder when y is divided by 54. 9 Suppose 9278 - 37592 = -1072*q + 40294. Suppose 0 = w + 12 - 45. What is the remainder when q is divided by w? 31 Let c = 690 + -624. Suppose 3*p + 109 = 5*o + 33, 0 = 5*o + 2*p - c. What is the remainder when 68 is divided by o? 12 Let t(c) = 4*c**2 - 100*c - 1015. What is the remainder when 54 is divided by t(33)? 13 Let z(b) = 9*b + 22. Let k be z(9). Suppose 4*u = 4*c + k + 21, c + 1 = 0. Let f = 36 - u. What is the remainder when 14 is divided by f? 2 What is the remainder when 4122 is divided by -2 + 7 + ((159 - 1) + -6 - -2)? 147 Suppose -21 = -3*z + 5*x + 252, -2*z + 184 = -4*x. What is the remainder when z is divided by 16? 6 Let i(h) = 2*h**2 + 111*h - 360. What is the remainder when 203 is divided by i(-59)? 44 Let n = 322 - 229. Suppose -7*i = -33 - n. Let a = 90 - 37. What is the remainder when a is divided by i? 17 Suppose -2*w + 115 = 29. Let g(t) = -3*t**2 - t + 125. What is the remainder when g(0) is divided by w? 39 Let d be (-1)/(18/(-8) - -2). Suppose 538 = 3*i + 2*w + 170, 0 = 2*i + d*w - 232. Let m(y) = 4*y**2 - y - 1. What is the remainder when i is divided by m(3)? 30 Let z(x) = -86*x - 4623. Calculate the remainder when z(-56) is divided by 86. 21 Suppose -8*d - 478 = 122. Suppose 0*j = 4*j - 12. Calculate the remainder when d/65 - -1 - (-1180)/65 is divided by j. 0 Suppose 0 = g + 120*s - 121*s - 241, 0 = 2*g + 4*s - 524. What is the remainder when g is divided by 15? 8 Let b(h) = -9*h - 72. Let m be b(-7). Calculate the remainder when (-76)/342 - 1802/m is divided by 29. 26 Let p(u) = 3*u**2 - 43*u + 1. Suppose -17*r + 105 = -10*r. Suppose -8*y + 25 = -3*y, 2*y - 44 = -2*l. Calculate the remainder when p(r) is divided by l. 14 Calculate the remainder when 1306 is divided by (-993114)/(-3816) - (1/(-2))/(4/(-10)). 11 Let r = 528 - 825. Let q = r - -404. What is the remainder when q is divided by 5? 2 Let w = 289 + -221. Calculate the remainder when 24 is divided by (w/6)/(88/132). 7 Let q(y) = y**3 + 4*y**2 - 4*y + 11. Let i be q(-5). Suppose 2*f - 102 = -4*u, i*f + 47 = 2*u + 3*f. Calculate the remainder when u is divided by 16. 9 Suppose 3*o - 3*l - 2352 = 0, 8*l - 625 = -5*o + 3347. What is the remainder when o is divided by 36? 32 Suppose 8*u + 498 + 662 = 0. Let m = -128 - u. Suppose 3*x + 0*x - 141 = 0. What is the remainder when x is divided by m? 13 Suppose 17*f + 970 - 1724 = 1099. Calculate the remainder when f is divided by 58. 51 Suppose 4*r = 3*i - 25, 3*r + r = -16. Suppose 0 = -d + i*d - 18. Let y(v) = -v**2 + 34*v + 1169. What is the remainder when y(-21) is divided by d? 5 Let c(k) = -17*k + 19. Let h(j) = -15*j + 16. Let d(g) = -4*c(g) + 6*h(g). What is the remainder when d(-2) is divided by 13? 12 Suppose -3*c = -2*d - d - 21, 2*d = -2*c + 22. Suppose -c*r + 178 = -47. Calculate the remainder when r is divided by 13. 12 Suppose -5*n = 3*y - 254, 2*n + 4*y = y + 98. Let a = 54 - n. Suppose 5*s + 0*i - 86 = 2*i, a*s - 34 = i. Calculate the remainder when 69 is divided by s. 15 Suppose -146 = 3*n - 0*z - 2*z, 2*n + 99 = 3*z. Let o(k) = 4*k + 9. Calculate the remainder when o(7) is divided by ((-15)/12)/(6/n). 7 Let i(v) = -2*v**2 + 17*v + 18. Let l(q) = 3*q**2 - 16*q - 16. Let p(z) = -6*i(z) - 5*l(z). Calculate the remainder when 90 is divided by p(-5). 6 Suppose -q - 2*l = -4, 5*q - 3*l = -2 - 4. Calculate the remainder when 20 is divided by ((-63)/(-4) - q) + 11/44. 4 What is the remainder when -3*2/4*(-1384)/12 is divided by ((-99)/6)/((-21)/28)? 19 Suppose -t + 7 + 1 = 0. Suppose -3*a + 1 = -t. Suppose -6 = a*z - 159. Calculate the remainder when 152 is divided by z. 50 Let p = -16747 + 17273. Calculate the remainder when p is divided by 511. 15 Suppose -4*h + 4*r + 1055 = 331, -4*r = -5*h + 900. Suppose h - 701 = -5*p. Calculate the remainder when 123 is divided by (14/35)/(1/p - 0). 39 Let q = 3624 - 3547. Calculate the remainder when 695 is divided by q. 2 Calculate the remainder when 316 is divided by ((-2080)/(-18) - (-2)/(-9)) + (-94)/282. 86 Let p(l) = l**2 + 6*l - 261. What is the remainder when 813 is divided by p(-22)? 85 Suppose 72*x - 74*x - 8 = 0, x - 3977 = -3*d. Calculate the remainder when d is divided by 150. 127 Let f be (-1)/(4/((-3432)/6)). Suppose -5*p + f = 18. Calculate the remainder when 199 is divided by p. 24 Let y(r) = 17*r + 2691. What is the remainder when y(-77) is divided by 104? 30 Let t = -2723 - -2824. What is the remainder when t is divided by 20? 1 Suppose 3*n + 5*w - 6 - 19 = 0, 2*n - 20 = -4*w. Let s(q) = -2*q + 117. Let x be s(n). Suppose -7*j + x = -2. Calculate the remainder when 33 is divided by j. 16 Suppose 3*p = p - 3*k + 15, p + 10 = -5*k. Suppose 148 + 152 = p*q. Calculate the remainder when 123 is divided by q. 3 Let g(w) be the third derivative of 59*w**6/60 - w**5/20 - w**4/24 + w**3/2 - 5*w**2 - 14*w. What is the remainder when g(1) is divided by 14? 5 Let o = -5375 - -5500. What is the remainder when o is divided by 63 - (0 - (1 - -2))? 59 Suppose 88 = 5*i + 13. Let j(y) = 0 - 3 + 13 - 4*y + 0*y. What is the remainder when j(-8) is divided by i? 12 Suppose 2*l + 2 = 0, 5*n - 2*l = -0*n + 672. Suppose 143*k - 1992 = 2870. What is the remainder when n is divided by k? 32 Let b(u) = 2*u**2 + 23*u - 420. Calculate the remainder when 235 is divided by b(-22). 25 Suppose 694*s - 741*s = -6627. Calculate the remainder when 2816 is divided by s. 137 Let s = 157 - 20. Suppose u = -2*u - 4*o + s, -44 = -u - o. Let c(k) = -116*k**3 - k**2 + 1. What is the remainder when c(-1) is divided by u? 38 Let v(a) = 87*a**2 - 257*a + 2. Calculate the remainder when v(5) is divided by 428. 36 Let a = -2 + 5. Suppose -26*l + 376 = -950. Suppose -39 = a*t - l. What is the remainder when 15 is divided by t? 3 Calculate the remainder when 1565 is divided by (-108)/(-32) + ((-6)/39 - 598/2704). 2 Suppose 0 = -49*p + 54*p - 245. Let d(v) = 143*v**2 - 2*v - 1. Let o be (5*2/10)/(-1). What is the remainder when d(o) is divided by p? 46 Suppose 2*p = 3*q - 747 + 678, 5*q + 3*p - 153 = 0. Calculate the remainder when 328 is divided by q. 4 Suppose 0 = 61*g - 131*g + 69*g + 100. W
{ "pile_set_name": "DM Mathematics" }
: 2, l: 2, r: 8}? 1/13 Four letters picked without replacement from {c: 4, f: 7}. Give prob of picking 1 f and 3 c. 14/165 Two letters picked without replacement from {s: 6, v: 1, w: 1, b: 8, n: 3}. Give prob of picking 2 s. 5/57 Two letters picked without replacement from {c: 1, p: 1, e: 2}. What is prob of picking 1 p and 1 e? 1/3 What is prob of picking 2 m and 2 d when four letters picked without replacement from {d: 6, e: 4, s: 2, m: 6}? 5/68 Calculate prob of picking 4 s when four letters picked without replacement from {t: 1, s: 18}. 15/19 What is prob of picking 1 y and 2 r when three letters picked without replacement from {v: 4, b: 1, y: 1, u: 7, l: 2, r: 4}? 2/323 Four letters picked without replacement from bhbbhhhbhhh. What is prob of picking 4 h? 7/66 Two letters picked without replacement from ploluul. What is prob of picking 2 p? 0 Three letters picked without replacement from zzzgb. What is prob of picking 2 z and 1 g? 3/10 What is prob of picking 2 a when two letters picked without replacement from {a: 3, f: 7}? 1/15 What is prob of picking 1 j and 3 g when four letters picked without replacement from {j: 15, g: 4}? 5/323 What is prob of picking 1 z, 1 a, and 1 h when three letters picked without replacement from zftzfhrzffhffah? 9/455 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 17, p: 3}. 51/190 Three letters picked without replacement from {u: 3, n: 5, c: 1, j: 5, k: 1}. Give prob of picking 1 k and 2 j. 2/91 Two letters picked without replacement from {q: 1, f: 3}. Give prob of picking 2 q. 0 Three letters picked without replacement from sqqo. What is prob of picking 1 q, 1 o, and 1 s? 1/2 What is prob of picking 1 f, 2 d, and 1 i when four letters picked without replacement from ccicffxfifficffdidf? 8/969 Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 1, x: 1, v: 1, w: 2, c: 1, d: 1}. 1/21 Calculate prob of picking 2 s when two letters picked without replacement from wwwswswwwwww. 1/66 What is prob of picking 2 y and 1 f when three letters picked without replacement from {y: 6, f: 2, o: 4, x: 1}? 15/143 Calculate prob of picking 4 e when four letters picked without replacement from eeeggggegggeeeegge. 7/170 What is prob of picking 1 o and 1 j when two letters picked without replacement from {d: 1, u: 2, j: 5, o: 3, k: 8, m: 1}? 3/38 What is prob of picking 1 b, 1 s, and 1 x when three letters picked without replacement from bxsbsbsbsbbbsbbvsvs? 21/323 Three letters picked without replacement from {n: 4, f: 5, p: 4, g: 4, e: 2, y: 1}. Give prob of picking 3 p. 1/285 Two letters picked without replacement from mkghlng. What is prob of picking 1 m and 1 g? 2/21 Two letters picked without replacement from {l: 2, d: 7}. Give prob of picking 2 d. 7/12 Four letters picked without replacement from ddddddddddddwdd. What is prob of picking 1 w and 3 d? 4/15 What is prob of picking 2 d and 2 g when four letters picked without replacement from aggedgagdd? 3/35 Three letters picked without replacement from {r: 7}. Give prob of picking 3 r. 1 Two letters picked without replacement from {h: 1, t: 3, c: 5}. What is prob of picking 1 c and 1 h? 5/36 Four letters picked without replacement from {k: 3, u: 2}. Give prob of picking 2 k and 2 u. 3/5 Four letters picked without replacement from gmxxxlxxxmllxn. Give prob of picking 2 x and 2 l. 9/143 Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {n: 7, t: 3, z: 2}. 21/110 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from ynnw. 1/3 What is prob of picking 1 o, 1 t, and 1 q when three letters picked without replacement from qoyosqnt? 1/14 What is prob of picking 2 k and 1 s when three letters picked without replacement from hiknkkshnkhq? 3/110 Four letters picked without replacement from {d: 3, u: 1, a: 7, z: 3, j: 5}. Give prob of picking 2 z, 1 j, and 1 a. 35/1292 Four letters picked without replacement from ddddddddddbdddbdddd. Give prob of picking 1 b and 3 d. 20/57 What is prob of picking 3 k when three letters picked without replacement from kddddxkdpdkkddd? 4/455 Calculate prob of picking 1 p, 1 h, and 1 f when three letters picked without replacement from pfhfhff. 8/35 Calculate prob of picking 3 v when three letters picked without replacement from {t: 1, f: 4, v: 3, d: 2, r: 2}. 1/220 Three letters picked without replacement from fcfffc. Give prob of picking 2 c and 1 f. 1/5 Calculate prob of picking 3 c and 1 t when four letters picked without replacement from {c: 3, x: 2, t: 1, i: 4}. 1/210 What is prob of picking 1 d and 1 z when two letters picked without replacement from {l: 1, g: 1, z: 1, d: 3, b: 1, u: 6}? 1/26 What is prob of picking 2 g when two letters picked without replacement from gggggggggggggggggvg? 17/19 Four letters picked without replacement from zzzzzzzzzlzz. Give prob of picking 1 l and 3 z. 1/3 Two letters picked without replacement from {p: 2, z: 1}. Give prob of picking 1 p and 1 z. 2/3 Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {n: 4, m: 2, v: 1, c: 4, r: 3}. 8/91 Three letters picked without replacement from {x: 1, c: 2, d: 1}. What is prob of picking 1 d and 2 c? 1/4 Four letters picked without replacement from {n: 2, r: 5, h: 11, k: 1, v: 1}. Give prob of picking 1 h, 1 k, and 2 r. 22/969 Three letters picked without replacement from mfmmmmfmmfm. What is prob of picking 1 f and 2 m? 28/55 What is prob of picking 1 z and 1 n when two letters picked without replacement from {n: 1, z: 9, t: 1}? 9/55 What is prob of picking 2 j when two letters picked without replacement from cjjj? 1/2 Calculate prob of picking 1 n and 2 v when three letters picked without replacement from {l: 2, n: 3, z: 1, p: 3, q: 2, v: 4}. 18/455 Four letters picked without replacement from {z: 5, s: 5}. What is prob of picking 4 z? 1/42 Three letters picked without replacement from llsrvdh. What is prob of picking 1 l, 1 r, and 1 h? 2/35 Two letters picked without replacement from zwrmd. What is prob of picking 1 r and 1 d? 1/10 Two letters picked without replacement from {k: 4, p: 2}. What is prob of picking 2 k? 2/5 Two letters picked without replacement from {v: 1, n: 2, m: 1, h: 1, i: 1, g: 1}. What is prob of picking 1 h and 1 n? 2/21 Calculate prob of picking 2 i when two letters picked without replacement from ieiiiiiieiiiiiiiii. 40/51 Two letters picked without replacement from clbbllccblcbbcbcb. Give prob of picking 1 b and 1 c. 21/68 Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {c: 9, y: 1, z: 1, t: 2}. 3/13 What is prob of picking 2 g and 1 x when three letters picked without replacement from ggxxgxgg? 15/28 Two letters picked without replacement from fjwf. What is prob of picking 1 j and 1 f? 1/3 What is prob of picking 2 d and 1 u when three letters picked without replacement from {h: 2, d: 2, u: 3, g: 2, a: 4, n: 1}? 3/364 What is prob of picking 1 g and 1 m when two letters picked without replacement from {u: 5, p: 3, m: 5, g: 2}? 2/21 Calculate prob of picking 2 b and 1 g when three letters picked without replacement from brrdrrbfrrrdbgbgrbbb. 7/190 Four letters picked without replacement from {r: 5, o: 2}. Give prob of picking 2 r and 2 o. 2/7 Three letters picked without replacement from {v: 3, z: 17}. What is prob of picking 3 z? 34/57 Three letters picked without replacement from amaammammaamaama. What is prob of picking 3 a? 3/20 What is prob of picking 1 t and 1 h when two letters picked without replacement from tthtthhttht? 28/55 Calculate prob of picking 1 e, 2 z, and 1 q when four letters picked without replacement from {q: 3, z: 4, u: 2, e: 9}. 9/170 Three letters picked without replacement from ffwwfwwwuu. Give prob of picking 1 u, 1 w, and 1 f. 1/4 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, y: 1, f: 2, k: 1, c: 1, p: 1}. 1/28 Four letters picked without replacement from {a: 7, w: 6, k: 1, j: 4}. Give prob of picking 2 a and 2 w. 7/68 Calculate prob of picking 1 g and 3 l when four letters picked without replacement from gggllml. 3/35 Calculate prob of picking 1 t and
{ "pile_set_name": "DM Mathematics" }
+ 4*m**3 - 4*m**w wrt m? 60*m**2 Let h(m) = -22*m**3 + 23*m**2 + 4*m. Let p(a) = -89*a**3 + 92*a**2 + 18*a. Let f(y) = 18*h(y) - 4*p(y). What is the third derivative of f(i) wrt i? -240 Suppose 4 = o, 2*o - 56 = -d - d. Let a be 2/(-4)*d/(-6). What is the first derivative of -a - 5*i + 3*i + 3*i wrt i? 1 Let l(g) = -339*g**3 - 2*g - 1. Let h be l(-1). What is the second derivative of 6*d + 340 - h + 5*d**2 wrt d? 10 Let d(w) be the third derivative of -2*w**2 + 1/60*w**6 + 0 + 0*w + 0*w**4 + 1/60*w**5 + 0*w**3. What is the third derivative of d(k) wrt k? 12 Let d(w) be the third derivative of w**6/24 + 11*w**3/6 - 14*w**2. Differentiate d(y) wrt y. 15*y**2 Let x be -1 - (-9 + (-4 - -6)). What is the third derivative of 0 - o**6 - 9*o**2 + 6 - x wrt o? -120*o**3 Let r(g) = g**3 - 11*g**2 + 14*g + 9. Let y be r(10). Differentiate y*p**2 + 1 - 49*p**2 + 3*p**3 wrt p. 9*p**2 Let r = -2 - -5. What is the third derivative of r*g**2 + 2*g**6 + 10*g**4 - 10*g**4 wrt g? 240*g**3 Find the third derivative of 4*t**2 - 5*t**3 - t**2 - 7*t**2 wrt t. -30 Let d(r) be the third derivative of -19*r**8/336 - 11*r**4/24 - 28*r**2. What is the second derivative of d(q) wrt q? -380*q**3 Let o = 9 + -5. What is the first derivative of -2*a - 4 + 7 + o*a wrt a? 2 Find the third derivative of 2*x**2 + 55 - 3*x**4 - 55 wrt x. -72*x What is the second derivative of -2 + 8*z**3 - 38*z + 2*z**3 + 2 wrt z? 60*z Suppose 3*x = -0*x. Let p = 2 + x. Find the second derivative of 0*f - 4*f + f**p + 2*f wrt f. 2 Let o(j) be the second derivative of j**7/420 + j**4/8 - j**3/3 - 2*j. Let v(r) be the second derivative of o(r). Differentiate v(g) wrt g. 6*g**2 Let m be -1 + 0 + (6 - 1). Suppose m*u - 2 = 6. Find the first derivative of -4*y**4 - 2*y**2 - 3*y**2 + 5*y**u - 1 wrt y. -16*y**3 Let b(j) be the first derivative of 0*j - 2 - 1/3*j**3 + 3/2*j**2. Find the second derivative of b(i) wrt i. -2 Let l(w) be the third derivative of 7*w**6/120 - w**5/30 + w**2. Find the third derivative of l(z) wrt z. 42 Let f(h) be the first derivative of -h**4/4 - 11*h**2/2 + 4*h + 8. Let s(o) = o - 1. Let x(w) = -f(w) - 4*s(w). Find the second derivative of x(c) wrt c. 6*c Let b(r) = -5*r**3 + 2*r + 8. Let t(j) = -26*j**3 + 11*j + 40. Suppose -21*c - 11 = -20*c. Let u(h) = c*b(h) + 2*t(h). What is the derivative of u(i) wrt i? 9*i**2 Let m(q) be the first derivative of -4*q**6/3 - q**2 - 1. What is the second derivative of m(z) wrt z? -160*z**3 Let p(o) = -o**2 - o. Let z(l) = 15*l**4 - 12*l**2 - l. Let w(k) = -p(k) + z(k). Find the third derivative of w(y) wrt y. 360*y Let z = -4 - -7. Let b be -4*1/(-2)*1. What is the third derivative of -5 + x**z + 2*x**b + 5 wrt x? 6 Let y(g) = 3*g**4 + 5*g**2 + 3*g + 3. Let o(f) = f**5 + 2*f**4 + 6*f**2 + 2*f + 2. Let k(r) = -3*o(r) + 2*y(r). Find the third derivative of k(j) wrt j. -180*j**2 Find the second derivative of 4*i - 12*i + 8*i**4 + 3*i**4 - 8*i wrt i. 132*i**2 Let k(x) = -2*x**3 + x**2 + 2*x - 63. Let i(t) = -2*t**3 + 3*t - 62. Let p(y) = 2*i(y) - 3*k(y). Differentiate p(a) with respect to a. 6*a**2 - 6*a Let m be (32/10)/(8/20). Suppose -9 = -g - 2*c, -4*c + m = 5*g - 25. Find the third derivative of 3*a**5 + 4*a**5 - 2*a**2 - a**g - 2*a**5 wrt a. 240*a**2 Suppose 4*u - 9 = 7. Suppose 3*x = 4*x. Find the second derivative of -2*j**u + 0*j + j + x*j wrt j. -24*j**2 Let u(z) be the first derivative of 0*z**3 - z + 1/4*z**4 + 0*z**2 + 4. What is the derivative of u(c) wrt c? 3*c**2 Let h(z) = 4*z**2 + 7*z - 4. Let d(r) = -9*r**2 - 15*r + 9. Let a(g) = 3*d(g) + 7*h(g). Let k(p) be the first derivative of a(p). Differentiate k(b) wrt b. 2 Let d(o) be the second derivative of 0 + o**3 + 0*o**4 - 2*o + 0*o**2 - 1/20*o**5. Find the second derivative of d(h) wrt h. -6*h Suppose -2*y + 33 = -5*a, 3*y = -2*y - 4*a. What is the second derivative of -z**5 + 0*z**5 + 6*z - 9*z + y*z wrt z? -20*z**3 What is the derivative of 53 - 63 - 8*l**3 + 17*l**3 wrt l? 27*l**2 Let c(g) = 2*g**4 + 2. Let f(i) be the second derivative of -i**6/15 - i**2 - 3*i. Let m(n) = 5*c(n) + 4*f(n). What is the first derivative of m(r) wrt r? 8*r**3 Let h(r) = 2*r. Let m(w) = -w**3 - w**2 + 3*w. Let p = -13 - -16. Let c(j) = p*h(j) - 2*m(j). Find the third derivative of c(u) wrt u. 12 Let g(p) = 3*p**2 + 1. Let l be g(1). What is the third derivative of -8*x**2 + x**l + 10*x**2 - 3*x**2 wrt x? 24*x Let g(m) = -11*m + 25. Let b(a) = -5*a + 12. Let x(s) = -9*b(s) + 4*g(s). Let p be x(9). What is the derivative of -6*z + 8*z + p - 4*z wrt z? -2 Suppose 2*c - 13 = -k, -5*k = 3*c - 38 + 1. What is the third derivative of 3*v**c + 2*v**4 + 5*v**2 - 4*v**4 wrt v? 24*v Let d(g) be the second derivative of -2*g**5/5 - g**3/6 - g**2/2 - 2*g - 1. Find the first derivative of d(u) wrt u. -24*u**2 - 1 Let s(w) = -160*w**4 + 13*w**2 + 5. Let d(k) = 53*k**4 - 4*k**2 - 2. Let h(p) = -8*d(p) - 3*s(p). What is the third derivative of h(a) wrt a? 1344*a Let t(l) = l. Let z(h) = -11*h**4 + h**3 + 2*h**2 - 6*h - 4. Let p(u) = 6*t(u) + z(u). Find the third derivative of p(x) wrt x. -264*x + 6 Suppose 4*w = -3*i + 16, 2*w + 20 = 7*w + 5*i. What is the third derivative of -2*o**2 - w*o**6 + 5*o**6 - 4*o + 4*o wrt o? 120*o**3 Find the second derivative of z - 3*z**2 - 4*z**2 + 4*z**2 + 4*z wrt z. -6 Find the first derivative of -64*n + 64*n + 10 - 19*n**2 wrt n. -38*n Find the second derivative of 140*t**5 + 5*t + 2*t + 15*t - 136*t**5 wrt t. 80*t**3 Let o(j) = 21*j**2 + 1. Let n(i) = -11*i**2. Let c(x) = -7*n(x) - 4*o(x). What is the derivative of c(t) wrt t? -14*t Suppose -4*c + 22 = -0*l + 2*l, -5*c = l - 20. What is the second derivative of -s**5 - c*s + 2*s + 3*s wrt s? -20*s**3 What is the derivative of 1 + 29 - 282*x**2 + 272*x**2 wrt x? -20*x Let w(k) = -k**5 + k**4 + k**2 + k - 1. Let b(v) = 8*v**5 - 2*v**4 - 2*v**2 - 7*v + 2. Let h(y) = b(y) + 2*w(y). Find the second derivative of h(x) wrt x. 120*x**3 Let b(m) be the second derivative of -3*m**5/10 - m**4/12 - 8*m. Find the third derivative of b(w) wrt w. -36 Let c(f) = -f**3 + 3*f**2 + 4*f + 4. Let n be c(4). Suppose 4 = n*m - 0*m. What is the first derivative of 0 - m + 2*k**4 + 0*k**4 wrt k? 8*k**3 What is the third derivative of -2*c**5 - 45*c**6 + 5*c**5 - 4*c**5 + 13*c**2 wrt c? -5400*c**3 - 60*c**2 What is the third derivative of -2*l**6 + 2*l**2 + 3*l**2 + 4*l**6 wrt l? 240*l**3 Suppose a - 4 = -1. Find the second derivative of -v - 8*v**3 - a*v - 4*v wrt v. -48*v Let x(h) be the first derivative of -h**4/6 + 2*h**2 - 2*h + 5. Let j(q) be the first derivative of x(q). What is the first derivative of j(g) wrt g? -4*g What is the second derivative of 39*a + a**5 + 40*a**2 - 469*a**3 + 469*a**3 wrt a? 20*a**3 + 80 Find the second derivative of 177*y**2 - 10*y - 177*y**2 - y**4 - 6*y**4 wrt y. -84*y**2 What is the third derivative of 9*n**2 - 2 + 3*n**4 + 2 - 12*n**2 wrt n? 72*n Let o(t) be the second derivative of 0 - 2*t + 0*t**2 - 1/2*t**3 - 1/6*t**4. Find the second derivative of o(y) wrt y. -4 Find the first derivative of -42*u + 42*u + 13 - 17*u**3 wrt u. -51*u**2 Let p(z) = z**3 - 6*z**2 + z - 2. Let m be p(6). Let k = -2 + m. What is the second derivative of s**k - 2*s**2 + 4*s**2 + 3*s wrt s? 6 Let a(v) = 86*v**4 - 11*v**3 + 51. Let z(d) = -17*d**4 + 2*d**3 - 10. Let h(p) = -2*a(p) - 11*z(p). Differentiate h(o) with respect to o. 60*o**3 Let z be (-1)/3 - 14/(-6). What is the third derivative of -z + 2 - j**2 - 3*j**3 wrt j? -18 Let r(b) be the first derivative of 3/4*b**4 - 8 + 2/3*b**3 + 0*b + 0*b**2. Find the third derivative of r(t) wrt t. 18 What is the second derivative of -15*o**3 + 15*o**3 + 3*o**5 + 3*o wrt o? 60*o**3 What is the second derivative of -6 + 11 - 52*y - 26*y**2 + 49*y wrt y? -52 Suppose -3*v + b = -0*b - 17, 3*v + 5*b + 13 = 0. Let y = v + -1. What is the second derivative of 2*h**3 + 3*h**3 - 4*h**y + 2*h wrt h? 6*h Suppose 0 = -2*n - 2 + 10. Let p(d) be the first derivative of -1 + 3/4*d**n + 0*d**2 + 0*d**3 + d. Find the first derivative of p(k) wrt k. 9*k**2 Let j(h) be the second derivative of 4*h**5/5 + 6*h**2 + 21*h. What is the first derivative of j(p) wrt p? 48*p**2 Let z(a) be the second derivative of a + 0*a**3 + 0 + 0*a**5 - 1/15*a**6 + 0*a**4 - a**2. Find the first derivative of z(f) wrt f. -8
{ "pile_set_name": "DM Mathematics" }
4/15*h**2 + 14/5*h = 0. -3, -1, 6 Let l(z) be the second derivative of -1/48*z**4 - 6*z + 1/3*z**3 + 0 + 0*z**2. Determine c, given that l(c) = 0. 0, 8 Suppose 0 = 4*w + 4*p - 6 + 2, -11 = -5*w - 2*p. Factor -11/9*b + 4/9*b**4 + 1/9*b**w - 4/3*b**2 - 2/9. (b - 2)*(b + 1)**2*(4*b + 1)/9 Let p be (10/(-25))/(2/60). Let o be (-28)/p + (-4)/(-6). Factor -12*h**2 - 9*h + 5 - 2*h**3 - 3*h**o + 9 - 16. -(h + 1)**2*(5*h + 2) Let v(u) be the first derivative of -9 - 3/10*u**2 + 2/5*u + 1/15*u**3. Factor v(z). (z - 2)*(z - 1)/5 Solve -160 - 569*f**3 + 571*f**3 - 149*f - 87*f - 74*f**2 = 0 for f. -2, -1, 40 Let x(i) be the third derivative of 7*i**8/192 - 53*i**7/20 + 24637*i**6/480 + 1219*i**5/20 + 529*i**4/24 + 6*i**2 - 2*i. Find g, given that x(g) = 0. -2/7, 0, 23 Suppose 49 = 16*k - 9*k. Let l(a) be the second derivative of 0*a**4 + 0*a**6 + 6*a + 0*a**2 + 0 - 2/5*a**5 + 2/21*a**k + 2/3*a**3. Factor l(f). 4*f*(f - 1)**2*(f + 1)**2 Let t(g) be the third derivative of -1/224*g**8 + 1/70*g**7 + 0 - 1/16*g**4 + 1/40*g**6 - 11*g**2 + 1/2*g**3 + 0*g - 1/10*g**5. Suppose t(p) = 0. Calculate p. -1, 1, 2 Let y = 6 + 2. Determine s so that -y*s**2 + 120*s**4 - 120*s**4 + 8 - 4*s**5 + 16*s**3 - 12*s = 0. -2, -1, 1 Let w(u) be the second derivative of -3*u**5/20 - 13*u**4/4 - 28*u**3 - 120*u**2 + 125*u. Factor w(g). -3*(g + 4)**2*(g + 5) Suppose 3*t = -h + 28, -2*h - 69 = -5*t - 4. Let v be (12 - t)*(-4)/(1 + -3). Factor 0 + 6/5*x - 9/5*x**v + 3/5*x**3. 3*x*(x - 2)*(x - 1)/5 Let c(p) = 2*p**3 - 16*p**2 + 2*p + 87. Let t be c(7). Solve -16/3*k**t - 2/3*k**5 + 32*k + 64/3 - 4*k**4 + 32/3*k**2 = 0 for k. -2, 2 Let g(n) be the third derivative of -n**8/60480 + n**7/7560 - 7*n**5/60 - 11*n**2. Let x(d) be the third derivative of g(d). Factor x(q). -q*(q - 2)/3 Determine r so that -351 - 34*r - 122 - 337 + 5*r**2 - 771*r = 0. -1, 162 Let r(u) be the third derivative of 3*u**8/728 + 4*u**7/455 + u**6/195 + 5*u**2 + 8. Solve r(d) = 0. -2/3, 0 Factor 20*x + 141 - 10*x**2 + 147 - 280 - 2*x**2. -4*(x - 2)*(3*x + 1) Suppose -2/5*p**4 + 4/5*p**3 - 16/5 - 4/5*p + 18/5*p**2 = 0. What is p? -2, -1, 1, 4 Let o = -109 + 119. Let m be 1/((o/8)/5) + -2. Let -1/4*c**3 + 27/4 - 27/4*c + 9/4*c**m = 0. Calculate c. 3 Let q(b) be the first derivative of 2*b**5/25 + 3*b**4/5 + 6*b**3/5 - 4*b**2/5 - 24*b/5 + 354. Find r, given that q(r) = 0. -3, -2, 1 Suppose -3*q + 27 = 6*q. Let y = 19 + -17. Determine u so that 0*u + 0 - 3/2*u**q - 3/2*u**y = 0. -1, 0 Let n(y) = 2*y + 20. Let j(c) = c + 7. Let k(v) = 8*j(v) - 3*n(v). Let a be k(3). Let 78 - r**2 + 0*r**2 + a*r - 79 = 0. Calculate r. 1 Let s be 2/(-10)*(13 - 161/7). Find m such that -21/4*m**3 + 3*m**5 + m + 3*m**s + 0 - 17/4*m**4 = 0. -1, -1/4, 0, 2/3, 2 Let m(o) = o**2 - 11*o - 19. Let n be m(9). Let x = -35 - n. Factor -x*s - s**2 - 7*s + 4*s**2 + 10*s. s*(3*s + 1) Suppose -7*x - x = -16. Let v be ((6 + -6)/7)/(0 - x). Find j, given that 10/3*j**3 + v - 4/3*j**2 + 2/3*j**5 - 8/3*j**4 + 0*j = 0. 0, 1, 2 Suppose -2*x + 2*u = 2, -4*x = -3*x + 4*u - 14. Find s such that x + 122*s**2 + 2 - 5*s - 121*s**2 = 0. 1, 4 Let 12/5*b**3 + 6/5*b**2 - 4/5*b - 3/5 + b**4 = 0. Calculate b. -1, 3/5 Let p(h) be the third derivative of h**8/13440 - 7*h**6/1440 + h**5/40 - h**4/3 + 31*h**2. Let k(b) be the second derivative of p(b). Factor k(j). (j - 2)*(j - 1)*(j + 3)/2 Let t be -5*(-10)/(-175) + (-130)/(-14). Suppose 39 = 12*k - t. Determine j so that -6/13*j - 4/13 + 6/13*j**3 + 2/13*j**2 + 2/13*j**k = 0. -2, -1, 1 Suppose -11*u = -2*u - 1935. Let x = 217 - u. Let 0*v + x*v**4 + 32/7*v**3 + 8/7*v**2 + 0 = 0. Calculate v. -2, -2/7, 0 Let p(m) be the third derivative of m**7/2310 + 7*m**6/660 - m**5/44 + 24*m**2 + 4*m. Factor p(j). j**2*(j - 1)*(j + 15)/11 Let p(c) be the second derivative of c**7/14 - 3*c**6/5 + 6*c**5/5 + 3*c**4/2 - 9*c**3/2 - c - 74. Factor p(f). 3*f*(f - 3)**2*(f - 1)*(f + 1) Let 24*b**4 + 43*b - 45*b - 4*b**2 - 20*b**4 + 2*b**5 = 0. Calculate b. -1, 0, 1 Let a be (0 + 0)/(-46 - -43). Let z be a*(-2)/(-4) - 4/(-6). Solve 4*w**2 - 14/3*w + z = 0. 1/6, 1 Let t be (-1359)/6*((-52)/(-12) + -3). Let p = t - -1519/5. Solve 3/5*m**4 + 6/5*m**5 + 3/5*m - 3/5*m**2 + 0 - p*m**3 = 0. -1, 0, 1/2, 1 Let q(d) be the first derivative of -20*d + 7 + 5/3*d**3 + 0*d**2. Factor q(w). 5*(w - 2)*(w + 2) Let k(a) be the second derivative of 0 - 25/6*a**3 - 125/6*a**2 - 5/12*a**4 + 6*a - 1/60*a**5. Factor k(g). -(g + 5)**3/3 Factor 4/5 - 2/5*s**2 - 2/5*s. -2*(s - 1)*(s + 2)/5 Let y(c) be the second derivative of c**8/6720 + c**7/945 + 7*c**6/2160 + c**5/180 + 10*c**4/3 - 7*c. Let f(k) be the third derivative of y(k). Factor f(v). (v + 1)**2*(3*v + 2)/3 Let f be 1*(-3 + 2)*1. Let s(a) = a**2 - a. Let b(i) = 3*i**3 + 18*i - 24. Let u(n) = f*b(n) + 18*s(n). Factor u(j). -3*(j - 2)**3 Let w(r) = 5*r**5 + 47*r**4 + 62*r**3 + 16*r**2 - 12*r. Let l(i) = -11*i**5 - 93*i**4 - 124*i**3 - 33*i**2 + 23*i. Let c(o) = -4*l(o) - 7*w(o). Factor c(y). y*(y + 1)*(y + 2)**2*(9*y - 2) Suppose 3*a = g - a + 12, 5*g - 2*a = 12. Suppose 7*f**2 + 5*f**3 + 101*f**g - 4*f - 104*f**4 - 4 - f**3 = 0. What is f? -1, -2/3, 1, 2 Let l(j) be the second derivative of -2*j**7/21 - 2*j**6 - 63*j**5/5 - 49*j**4/3 - 47*j + 3. Factor l(z). -4*z**2*(z + 1)*(z + 7)**2 Let f(m) = 3*m**2 - 9*m - 7. Let x(i) be the third derivative of i**5/20 - 3*i**4/8 - i**3 - 33*i**2. Let g(o) = 6*f(o) - 5*x(o). Suppose g(h) = 0. Calculate h. -1, 4 Suppose 99 - 127 = -4*c. Suppose -c = -4*j + 1. What is y in 1/6*y**j + 0 + 1/6*y = 0? -1, 0 Suppose 0 = -2*a - 10, 2*q + a + 4*a = -13. Let l be (2 - (-8)/12) + 2/q. Factor 1/3*u**4 - 2/3 + 1/3*u**2 + u - u**l. (u - 2)*(u - 1)**2*(u + 1)/3 Let o(w) be the second derivative of -w**9/756 - 5*w**8/1344 - w**7/504 + 25*w**4/6 + 44*w. Let j(d) be the third derivative of o(d). Factor j(n). -5*n**2*(n + 1)*(4*n + 1) Let f(v) = -v**2 + v. Let d(i) = -12 - 3 + 4*i + 3. Let u(m) = -d(m) + 2*f(m). Factor u(r). -2*(r - 2)*(r + 3) Suppose 0*u = 5*u - 135. Determine m so that -2*m**2 + 8*m - u + 40 - 19 = 0. 1, 3 Let c(x) be the third derivative of x**6/240 - x**5/30 + x**4/12 + x**2 - x. Factor c(d). d*(d - 2)**2/2 Let s = 175 + -166. Let z(l) = -l**2 + 10*l - 5. Let o be z(s). Factor 4/9*c**2 + 2/9*c - 2/9*c**5 + 0 + 0*c**3 - 4/9*c**o. -2*c*(c - 1)*(c + 1)**3/9 Suppose 396/5*x**2 + 12*x**4 - 168/5*x + 16/5 - 278/5*x**3 = 0. What is x? 2/15, 1/2, 2 Let c(k) be the third derivative of k**5/360 - 5*k**4/72 + 98*k**2. Determine a so that c(a) = 0. 0, 10 Let n be (1 + -3 + 112)/(4 - 2). Suppose -7*i**4 + n*i**4 + 155*i**3 - 188*i**3 - i**2 + 7*i**2 - 21*i**5 = 0. What is i? 0, 2/7, 1 Let r = -19712 - -19856. What is a in r*a**2 + 324*a + 2/3*a**4 - 486 + 52/3*a**3 = 0? -9, 1 Factor -24 + 81/2*w**3 - 243/2*w**2 + 108*w. 3*(3*w - 4)**2*(3*w - 1)/2 Let f(t) = t**2 + 20*t - 123. Let y(g) = 3*g**2 + 39*g - 247. Let h(z) = -5*f(z) + 2*y(z). Suppose h(k) = 0. What is k? 11 Let y(w) = -w**4 + w**3 - w**2 - 1. Let q(j) = -3*j**4 + 13*j**3 - 4*j**2 - 4. Let s(a) = -3*q(a) + 12*y(a). Determine b, given that s(b) = 0. -9, 0 Let y(r) = r**3 - 11*r**2 + r - 3. Let t be y(11). Factor 7*m**3 + t*m**5 + 0*m**3 + 25*m**4 - 2*m**3 + 7*m**5 - 5*m**2. 5*m**2*(m + 1)**2*(3*m - 1) Let w(q) = q**2 - 7*q + 13. Let t be w(5). Solve t*b**2 - b + 4*b - 9*b - 9 = 0. -1, 3 Let d = 1412 + -1412. Let f(p) be the third derivative of -1/120*p**6 - 1/36*p**5 + 1/18*p**3 - 9*p**2 + d + 1/24*p**4 + 2/315*p**7 + 0*p. Factor f(c). (c - 1)**2*(c + 1)*(4*c + 1)/3 Determine p, given that -148/7 - 2/7*p**2 + 150/7*p = 0. 1, 74 Let v = -1/147 + 155/1176. Let s(x) be the third derivative of 3*x**2 + 1/120*x**6 - 1/12*x**5 + 0 + v*x**4 + 3/2*x**3 + 0*x. Let s(b) = 0. Calculate b. -1, 3 Suppose 12 = w + 4*o, 2*w = -4*o - 1 + 17. Let v be (w/(-7) - -1)*7. Factor 1 - 2*b**v - 4 + 4*b + 3*b**2 - b**3 - b. -3*(b - 1)**2*(b + 1) Let o = -199600/13 + 15354. Let 0 - o*s**2 - 2/13*s = 0. What is s? -1, 0 Let c(s) = -2 - 20*s**3 - 95*s**2 + 5*s + 19*s - 3 + 11*s. Let r(i) = 21*i**3 + 94*i**2 - 36*i + 4. Let x(b) = -4*c(b) - 5*r(b). Factor x(t). -5*t*(t + 4)*(5*t - 2) Let r = -3329/3 + 16657/15. What is m in 4/5*m + 1/5*m**2 + r = 0? -2 Factor 0 + 2/3*p**3 + 4/3*p - 2*p**2. 2*p*(p - 2)*(p - 1)/3 Suppose 2*r + 3*l = -r - 216, 286 = -4*r
{ "pile_set_name": "DM Mathematics" }
30*q**7 + a*q**3 + 0 - 2*q**2 + 0*q. Factor g(j). -j*(j - 1)**3/3 Let v(h) be the second derivative of -h**7/1050 + h**6/200 - h**5/100 + h**4/120 + 3*h**2 - 3*h. Let p(m) be the first derivative of v(m). Factor p(a). -a*(a - 1)**3/5 Solve -3/2*l**2 - 3/2*l + 3/2 + 3/2*l**3 = 0 for l. -1, 1 Let z = 207 + -198. Let b(t) be the first derivative of -7/2*t**3 + 2 - z*t**2 + 6*t. Determine m so that b(m) = 0. -2, 2/7 Let q(h) be the second derivative of 0 + 0*h**2 + 1/80*h**5 + 1/24*h**3 - 1/24*h**4 - 5*h. Suppose q(y) = 0. What is y? 0, 1 Let q(j) = -j**2 + 11*j + 1. Let a be q(11). Factor -33*r - 13*r**3 - r**3 + a + 32*r**2 + 3 + 11*r. -2*(r - 1)**2*(7*r - 2) Suppose -v = -2*n + 6*n - 26, -5*v - 20 = -5*n. What is k in -4 - 7*k + n*k - 6*k**2 + 3*k + 8*k = 0? 2/3, 1 Let g = 2 + -2. Suppose 3*n - 4*f + 16 = 0, g = -n - f - 1 + 5. Factor -5*j**3 - 4 - j - 3*j + n*j + 13*j**2. -(j - 2)*(j - 1)*(5*j + 2) Suppose 20 = 4*x - 3*x + 5*m, -2*m + 8 = -4*x. Let d(j) be the third derivative of 0*j**3 + x + 0*j + j**2 - 1/96*j**4 - 1/240*j**5. What is g in d(g) = 0? -1, 0 Let f be (5/15)/((-1)/(-9)). Suppose 7*q - 12 = f*q. Factor 2*m - 4 - m**4 + 6*m**2 - 6*m**3 - m**4 + 4*m**q. -2*(m - 1)**2*(m + 1)*(m + 2) Let d be (1 - -1) + (5 - 3). Find p such that -63*p**3 + 8*p**2 + 59*p**3 - 12*p**4 + d*p**5 + 4*p**4 = 0. -1, 0, 1, 2 Let o(z) be the first derivative of z**3/9 + z**2/2 - 3. Factor o(t). t*(t + 3)/3 Let t(p) be the first derivative of 26/33*p**3 + 8/11*p + 2 - 20/11*p**2 + 7/11*p**4 - 4/33*p**6 - 14/55*p**5. Find y such that t(y) = 0. -2, 1/4, 1 Let w(h) = h + 3. Let i be w(-3). Suppose i = 5*q + 3*f - 1 + 2, 1 = -3*q - 2*f. Find m, given that 1/2*m**2 - 3/2*m + q = 0. 1, 2 Let i be (-2)/((-5)/((-45)/(-6))). Let -d + 0*d**3 + i*d**3 - 2*d**3 - d**4 + d**2 = 0. What is d? -1, 0, 1 Let n(a) be the second derivative of -a**5/110 + a**4/66 - a. What is w in n(w) = 0? 0, 1 Let w be 1*((-6)/(-2) + 2). Suppose 4*y = w*z - 2, -z = -3*y + 2*z. Factor 0*i - 1 - i**3 + i + 2 - 2*i**2 + i**y. -(i - 1)*(i + 1)**2 Let p(t) = -21*t**2 - 2*t + 2. Let i be p(-2). Let j be 598/i*2/(-4). Factor -7/3*q**3 + j*q**2 - 8/3*q + 1/2*q**4 + 2/3. (q - 2)*(q - 1)**2*(3*q - 2)/6 Suppose 2*h - 5*h = -6. Factor 19*i - 25*i**2 + 9*i - 24*i**h - 1 - 3. -(7*i - 2)**2 Factor -2/11*m**4 + 2/11*m**2 + 0 - 2/11*m**5 + 2/11*m**3 + 0*m. -2*m**2*(m - 1)*(m + 1)**2/11 Let h = 29 + -25. Suppose -3 + 21*x**5 - 50*x**4 + 34*x**3 - h*x + 3 - x**3 = 0. What is x? -2/7, 0, 2/3, 1 Let d(u) be the first derivative of 0*u - 1/2*u**4 - 4/9*u**3 + 0*u**2 + 5 - 2/15*u**5. Factor d(i). -2*i**2*(i + 1)*(i + 2)/3 Solve 221*c**2 + c**3 + 6*c - 3 - 226*c**2 + c = 0 for c. 1, 3 Let v(x) = x**3 - x + 1. Let d(j) = -4*j**3 - 2*j**2 + 12*j - 8. Let y(o) = d(o) + 2*v(o). Factor y(m). -2*(m - 1)**2*(m + 3) Let o(s) be the first derivative of -s**6/3 - 6*s**5/5 - s**4 + 4*s**3/3 + 3*s**2 + 2*s + 8. Factor o(x). -2*(x - 1)*(x + 1)**4 Suppose h + 0 - 6 = -3*a, 10 = 5*a + 3*h. Determine j so that 6*j**3 + j + 0*j - 4*j**5 - 4*j**4 - 4*j**a + 5*j**5 = 0. 0, 1 Suppose -2*u = -2*s + 5*s + 6, 0 = 5*s + 20. Suppose 2/3*q**u + 0*q**2 + 0*q - 2/3*q**4 + 0 - 4/3*q**5 = 0. Calculate q. -1, 0, 1/2 Let x(q) be the third derivative of q**8/1344 - q**6/160 - q**5/120 + 32*q**2. Factor x(m). m**2*(m - 2)*(m + 1)**2/4 Let q(m) be the second derivative of -m**6/120 + m**5/40 - 21*m. Factor q(z). -z**3*(z - 2)/4 Let c(h) be the first derivative of -h**6/180 - h**5/60 + h**4/6 - 4*h**3/3 - 7. Let n(i) be the third derivative of c(i). Factor n(f). -2*(f - 1)*(f + 2) Let a(k) be the first derivative of -2*k**3/3 - 3*k**2/7 - 14. Factor a(l). -2*l*(7*l + 3)/7 Let i(l) = -3*l**2 + 2*l + 11. Let k(p) = -15*p**2 + 9*p + 54. Let n(u) = 24*i(u) - 5*k(u). Solve n(w) = 0. -2, 1 Suppose 45 = 3*c + 15. Factor 2 - 2*f**2 - 6*f + 5*f**2 + c*f - f**2. 2*(f + 1)**2 Let i = 2236/9 + -248. Solve 2/9 + i*s + 2/9*s**2 = 0 for s. -1 Let p(m) be the second derivative of -25*m**7/147 + 13*m**6/21 - 23*m**5/35 - m**4/21 + m**3/3 + m**2/7 - 4*m. Factor p(y). -2*(y - 1)**3*(5*y + 1)**2/7 Let p(t) be the first derivative of -t**6/180 - t**3/3 + 1. Let h(x) be the third derivative of p(x). What is z in h(z) = 0? 0 Let x(b) be the third derivative of -b**8/6720 - b**7/2520 + b**6/720 + b**5/120 + b**4/24 + 4*b**2. Let k(c) be the second derivative of x(c). Factor k(w). -(w - 1)*(w + 1)**2 Let a(g) be the first derivative of 9/4*g**3 - 13/8*g**2 + 1/2*g - 2 + 7/20*g**5 - 23/16*g**4. Factor a(c). (c - 1)**3*(7*c - 2)/4 Let l(v) be the first derivative of -2 + 0*v - 2/5*v**5 - 2/3*v**3 + v**4 + 0*v**2. Let l(f) = 0. What is f? 0, 1 Let l = 4 + -2. Let u be l - 2/(-3)*-3. Factor -2*m**2 + u*m**2 + 4*m**3 - m - 2*m**3 + m**2. m*(m - 1)*(2*m + 1) Suppose -3*c + s - 2 = -14, -5*s = -4*c + 16. Let j be c - (5 + -3)*1. What is o in -30/7*o**2 - j*o**4 + 4/7 - 2/7*o - 38/7*o**3 = 0? -1, 2/7 Find g, given that -1/9*g - 2/9 + 1/9*g**2 = 0. -1, 2 Factor 3/2 + 3/4*v**5 - 3*v**4 - 15/4*v + 3/2*v**2 + 3*v**3. 3*(v - 2)*(v - 1)**3*(v + 1)/4 Let h be 25/(-15)*12/(-90). Solve -4/9*w**3 + 0 + h*w**4 + 0*w + 2/9*w**2 = 0 for w. 0, 1 Let d = -21 + 23. Factor 2*q**2 - 131 + 132 + q**3 - 3*q**d - q. (q - 1)**2*(q + 1) Let p = -5/44 + 4/11. Suppose -2*a - 5*y = 0, 4*a - 8*a = -2*y. Suppose a + 0*v + p*v**3 - 1/2*v**2 = 0. Calculate v. 0, 2 Let h(q) be the first derivative of q**5/35 - q**4/4 + 6*q**3/7 - 10*q**2/7 + 8*q/7 - 21. Suppose h(w) = 0. Calculate w. 1, 2 Let w(z) = -20*z**2 + 55*z - 10. Let c(u) = -u**2 + u + 1. Let h(n) = 25*c(n) - w(n). Factor h(o). -5*(o - 1)*(o + 7) Let j(a) = 3*a**5 + 17*a**4 + 17*a**3 + 5*a**2 + 2. Let k(f) = -14*f**5 - 86*f**4 - 86*f**3 - 25*f**2 - 11. Let p(w) = -11*j(w) - 2*k(w). Factor p(u). -5*u**2*(u + 1)**3 Let -3 - 8 - 4*k**2 + 2*k**2 - 7 + 12*k = 0. What is k? 3 Let h(r) = r**2 + 15*r + 26. Let k be h(-13). Let q(x) = -x + 1. Let t be q(-1). Factor l**3 + k*l**t - 2 + 2 + l**2 - 2*l. l*(l - 1)*(l + 2) Let y be (-6)/27 - 186/(-108). Factor y*h**3 + 0 + 1/2*h**2 - h. h*(h + 1)*(3*h - 2)/2 Let d be 4 - (20/5 + -4). Let h(v) = -v + 8. Let u be h(4). Let -2*j**4 - 2*j**3 + u*j**3 + j**d - 2*j - 2*j**2 + 3*j**4 = 0. Calculate j. -1, 0, 1 Find l such that 2*l**2 + 8 - 194*l + 2*l**3 + 186*l - 2*l**2 - 2*l**2 = 0. -2, 1, 2 Let w(n) = n**5 + n - 1. Let c(t) = -3*t**5 + 3*t**4 - 6*t**3 - 6*t**2 - 3*t + 9. Let y(i) = -c(i) - 6*w(i). Factor y(o). -3*(o - 1)**2*(o + 1)**3 Let g(h) be the first derivative of 0*h**2 + 4 - 2/7*h**4 - 4/21*h**3 - 4/35*h**5 + 0*h. Factor g(x). -4*x**2*(x + 1)**2/7 Let c be (-3)/9*(1 - 1). Let l(j) be the third derivative of -1/6*j**3 + 1/8*j**4 + 0 + c*j + 1/120*j**6 - 2*j**2 - 1/20*j**5. Factor l(i). (i - 1)**3 Let k(n) be the third derivative of n**7/840 - n**6/60 + n**5/10 + n**4/4 - 4*n**2. Let x(l) be the second derivative of k(l). Factor x(p). 3*(p - 2)**2 Let i = -84 + 88. Suppose 0 = -5*a + 4*a. Factor 0*z**i - 2/3*z**5 - 2/3*z + 0*z**2 + a + 4/3*z**3. -2*z*(z - 1)**2*(z + 1)**2/3 Let q = 2/109 - -105/218. Factor 1/2*k**5 + k**3 - 3/2*k + q - 3/2*k**4 + k**2. (k - 1)**4*(k + 1)/2 Solve -75*w - 10 - 41*w**2 - 23*w**2 - 55*w**3 - 56*w**2 = 0. -1, -2/11 Let 3/4*p**2 + 3/8*p**5 + 3/4 - 3/2*p**4 + 3/2*p**3 - 15/8*p = 0. What is p? -1, 1, 2 Factor u**2 - 50 - 6*u**2 + 17*u + 3*u**2 + 3*u. -2*(u - 5)**2 Let q = 13/17 + -22/51. Suppose -1/2*k**2 - 5/6*k + q = 0. Calculate k. -2, 1/3 Let o(h) be the first derivative of 2*h**3/9 - 2*h**2/3 - 2*h + 3. Factor o(u). 2*(u - 3)*(u + 1)/3 Let k(h) be the second derivative of 0 + 3*h - 1/8*h**2 - 1/8*h**3 - 1/16*h**4 - 1/80*h**5. Factor k(i). -(i + 1)**3/4 Suppose -j - 15 = 2*p - 6*j, -p = -j. Suppose p*x - 4*x = 0. What is m in 2/3*m + 2/3*m**3 - 4/3*m**2 + x = 0? 0, 1 Let f = 8 - -2. Let k = 12 - f. Factor 1/2*l + 3/2*l**3 - 1/2*l**4 - 3/2*l**k + 0. -l*(l - 1)**3/2 Factor 0*a + 1/4*a**2 + 0*a**3 + 0 - 1/4*a**4. -a**2*(a - 1)*(a + 1)/4 Let k(f) be the second derivative of -3*f**7/28 - 7*f**6/20 - 3*f**5/8 - f**4/8 + 7*f. Suppose k(r) = 0. Calculate r. -1, -1/3, 0 Let x(g) be the first derivative of -g**3/12 + g/4 + 23. Factor x(v). -(v - 1)*(v + 1)/4 Suppose -w = -m - 3*m, 0 = m - 1. Let z(x) be the second derivative of 1/30*x**5 + 0*x**3 + 0 + 0*x**2 - 2*x - 1/18*x**w. Factor z(t). 2*t
{ "pile_set_name": "DM Mathematics" }
decimal places? 1.086 Round 3168.002 to the nearest 100. 3200 Round -0.00001416761 to seven dps. -0.0000142 Round -107070 to the nearest one hundred thousand. -100000 Round -339.5359 to the nearest 10. -340 What is 28849950 rounded to the nearest one hundred thousand? 28800000 Round -529.45 to the nearest integer. -529 What is -378735.59 rounded to the nearest one hundred? -378700 Round 0.955147 to three dps. 0.955 What is 49314059 rounded to the nearest one hundred thousand? 49300000 What is -2234.1703 rounded to the nearest 100? -2200 What is -0.1045237 rounded to 4 dps? -0.1045 What is 0.000189906 rounded to 5 dps? 0.00019 What is 0.0852653 rounded to 3 dps? 0.085 What is 5.75868 rounded to the nearest ten? 10 What is 155732 rounded to the nearest one hundred? 155700 Round 0.0010864107 to seven dps. 0.0010864 Round 0.0018080255 to 4 decimal places. 0.0018 Round -0.0000502886 to 5 dps. -0.00005 What is 22132.711 rounded to the nearest 10? 22130 Round -219564.9 to the nearest 1000. -220000 Round 0.016619717 to three decimal places. 0.017 Round -301242 to the nearest one hundred thousand. -300000 Round 7.97848 to 0 dps. 8 Round -19.435961 to 0 dps. -19 Round 206252.66 to the nearest ten thousand. 210000 Round -0.006283093 to 6 dps. -0.006283 Round -0.00012047336 to six decimal places. -0.00012 Round -88335790 to the nearest 100000. -88300000 What is 0.01582814 rounded to 4 dps? 0.0158 What is 0.00001862062 rounded to 7 decimal places? 0.0000186 Round -176009.1 to the nearest 10000. -180000 What is -0.000000316777 rounded to seven decimal places? -0.0000003 What is -0.04385629 rounded to 3 dps? -0.044 Round -7936.38 to the nearest one thousand. -8000 Round 0.05469783 to 3 decimal places. 0.055 What is -0.0000840688 rounded to 4 dps? -0.0001 What is -267150 rounded to the nearest one hundred thousand? -300000 What is 11166.76 rounded to the nearest 1000? 11000 What is 0.05780278 rounded to four decimal places? 0.0578 What is 0.00725181 rounded to 3 decimal places? 0.007 What is -2899.1315 rounded to the nearest 1000? -3000 What is 0.001055355 rounded to five dps? 0.00106 Round -0.7682345 to two decimal places. -0.77 Round 0.02238091 to four dps. 0.0224 What is 10.22605 rounded to 0 dps? 10 What is 1598082 rounded to the nearest 1000? 1598000 What is -21566400 rounded to the nearest 1000000? -22000000 What is 0.0008500338 rounded to five decimal places? 0.00085 What is -7819.218 rounded to the nearest one thousand? -8000 What is -33698230 rounded to the nearest 1000000? -34000000 What is -0.00030902587 rounded to five dps? -0.00031 Round 0.0002560828 to five dps. 0.00026 Round 550.23271 to one decimal place. 550.2 What is 0.0001951983 rounded to 5 decimal places? 0.0002 Round 0.13273406 to three dps. 0.133 Round -9061080 to the nearest 10000. -9060000 Round 113137.9 to the nearest one hundred. 113100 Round 3.148042 to three decimal places. 3.148 What is -2501.61 rounded to the nearest 1000? -3000 What is 4919580 rounded to the nearest one million? 5000000 Round -21726.424 to the nearest 10. -21730 Round 18.82714 to 1 dp. 18.8 Round -0.0000889352 to seven decimal places. -0.0000889 Round 184.1079 to one decimal place. 184.1 What is 5.178309 rounded to the nearest integer? 5 Round 156580.6 to the nearest one thousand. 157000 Round 0.201916 to 3 dps. 0.202 What is -0.745804 rounded to 1 decimal place? -0.7 Round -9.829564 to 1 decimal place. -9.8 Round -0.000339105 to 4 decimal places. -0.0003 Round -0.0000004241604 to seven decimal places. -0.0000004 Round -373.2686 to the nearest 10. -370 Round -246.688 to the nearest integer. -247 What is 281290 rounded to the nearest 1000000? 0 What is 0.02636114 rounded to three dps? 0.026 What is 48.79 rounded to the nearest 1000? 0 What is 271.769 rounded to the nearest ten? 270 What is 5943680 rounded to the nearest 1000000? 6000000 Round -0.002073769 to 4 decimal places. -0.0021 What is 4651.46 rounded to the nearest 100? 4700 What is 1912.78 rounded to the nearest 10? 1910 What is -108.98989 rounded to 1 dp? -109 Round 488510000 to the nearest 1000000. 489000000 Round 1892.29 to the nearest one hundred. 1900 Round -83412000 to the nearest one million. -83000000 Round 26541.3 to the nearest one hundred. 26500 Round 931420 to the nearest one hundred thousand. 900000 What is -0.00730508 rounded to 5 decimal places? -0.00731 What is 3304.927 rounded to 0 decimal places? 3305 What is -0.00027091 rounded to three dps? 0 What is -1524.719 rounded to the nearest 10? -1520 Round 0.0651288 to 2 dps. 0.07 Round 602180 to the nearest one million. 1000000 Round 18067.1 to the nearest ten thousand. 20000 Round -0.01952492 to 3 dps. -0.02 What is -0.067818 rounded to 3 decimal places? -0.068 What is 503517 rounded to the nearest one hundred thousand? 500000 What is -0.0005224222 rounded to five dps? -0.00052 Round -1058371300 to the nearest 1000000. -1058000000 What is -103.1777 rounded to the nearest integer? -103 What is 0.00899118 rounded to 5 dps? 0.00899 What is 377.05 rounded to zero dps? 377 Round 37521788 to the nearest one million. 38000000 Round -1.9553 to the nearest integer. -2 Round -0.004926912 to four decimal places. -0.0049 What is 482470 rounded to the nearest one hundred thousand? 500000 Round 1822302.3 to the nearest one thousand. 1822000 What is 138.624 rounded to one dp? 138.6 What is 0.000330806 rounded to 4 dps? 0.0003 Round 0.07301916 to four decimal places. 0.073 Round 6859.65 to the nearest 10. 6860 What is -48.92324 rounded to two decimal places? -48.92 Round 0.000017163993 to six decimal places. 0.000017 Round -0.00000585259 to 7 decimal places. -0.0000059 Round -0.0000745127 to 5 dps. -0.00007 Round 0.017694772 to 4 dps. 0.0177 Round -0.00008161 to 5 decimal places. -0.00008 Round -0.000854521 to six dps. -0.000855 What is 0.000157124 rounded to five dps? 0.00016 Round 0.0979479 to 3 dps. 0.098 What is -0.0000013382239 rounded to 7 dps? -0.0000013 Round -0.00322769 to 4 decimal places. -0.0032 What is 294000 rounded to the nearest one million? 0 What is -0.00249678 rounded to 6 decimal places? -0.002497 Round -173155100 to the nearest 1000000. -173000000 Round -7602.29 to the nearest ten. -7600 What is 125730900 rounded to the nearest 100000? 125700000 What is 215.5893 rounded to 1 decimal place? 215.6 What is -142506.1 rounded to the nearest ten thousand? -140000 Round -0.02876772 to 4 dps. -0.0288 Round 0.000012391658 to seven dps. 0.0000124 What is 176.7301 rounded to the nearest ten? 180 Round -0.021823549 to 5 decimal places. -0.02182 What is 21347664 rounded to the nearest one hundred thousand? 21300000 Round -1034972 to the nearest 10000. -1030000 Round -130.7168 to one decimal place. -130.7 What is -2265050 rounded to the nearest 10000? -2270000 Round -0.0001088517 to six dps. -0.000109 What is 2701.71 rounded to the nearest 10? 2700 Round -0.0042547 to 4 decimal places. -0.0043 What is -67539.3 rounded to the nearest 100? -67500 Round -5159700 to the nearest one million. -5000000 Round 3.0582167 to 3 dps. 3.058 Round -232.111 to 1 decimal place. -232.1 Round 21446.57 to the nearest one thousand. 21000 Round 20451450 to the nearest 100000. 20500000 What is 1514.19 rounded to the nearest ten? 1510 Round -677.6805 to the nearest 100. -700 Round -0.005480448 to four decimal places. -0.0055 Round -12756875 to the nearest ten thousand. -12760000 What is -0.0000452233 rounded to 6 dps? -0.000045 What is 0.00000267908 rounded to 7 decimal places? 0.0000027 What is -1686260 rounded to the nearest one hundred thousand? -1700000 Round 0.16525093 to 2 decimal places. 0.17 What is -637500 rounded to the nearest one hundred thousand? -600000 Round 49582.7 to the nearest ten thousand. 50000 What is 25719.58 rounded to the nearest one thousand? 26000 Round 4463.6 to the nearest 10000. 0 Round -0.186554 to 3 decimal places. -0.187 What is 0.000227872 rounded to seven dps? 0.0002279 Round 77.7736 to 2 dps. 77.77 Round 5865.5 to the nearest one hundred thousand. 0 Round 0.02677517 to five dps. 0.02678 Round -115.0179 to 1 dp. -115 What is -4100.802 rounded to the nearest 10? -4100 What is 8478.2 rounded to the nearest ten? 8480 What is -0.088525 rounded to two decimal places? -0.09 Round 895235 t
{ "pile_set_name": "DM Mathematics" }
5*q(y) + 2*v(y). Differentiate s(m) with respect to m. 248*m What is the second derivative of -408 + 110*g**5 + 7*g + 202 + 208 wrt g? 2200*g**3 Find the second derivative of -2*h + 68 + 9*h - 202 + 67 + 59 + 594*h**4 wrt h. 7128*h**2 Let w(y) be the second derivative of 2/3*y**4 - 2/15*y**6 + 0 + 0*y**5 + 15*y + 0*y**2 + 0*y**3. Find the third derivative of w(l) wrt l. -96*l Find the third derivative of -16*h - 9*h**2 + 5*h**2 + 2*h**2 + 135*h**3 wrt h. 810 Let t(l) = -5*l**3 - 5*l**2 + 8*l**3 + 7*l - 4*l**3 + 9. Let s be t(-6). What is the second derivative of s + 2*a - 6*a**3 - 3 - 7*a wrt a? -36*a Find the third derivative of -10*u - u + 49282*u**2 + 389*u**5 - 49274*u**2 wrt u. 23340*u**2 Suppose 2*t = -0*t + 8. Suppose o + s = 19, -4*o - s = s - 72. What is the second derivative of -o*v + 12*v**t - 5*v**4 + 10*v wrt v? 84*v**2 Let y be 96/44 - 2/11. What is the first derivative of 21*a**3 - 4 - 178*a**2 + 90*a**y + 88*a**2 wrt a? 63*a**2 What is the third derivative of -34*q**2 - 602*q**5 - 598*q**5 + 89*q**6 + 1200*q**5 wrt q? 10680*q**3 Let z(n) be the third derivative of -58*n**5/5 + n**4/12 - 17*n**3/2 - 11*n**2 - 15*n. Find the first derivative of z(p) wrt p. -1392*p + 2 Let i(a) be the first derivative of 30*a**3 + 20*a + 3. What is the first derivative of i(s) wrt s? 180*s Let r(z) be the third derivative of -17*z**2 + 0 + 0*z**3 + 3/8*z**4 - 17/210*z**7 + 0*z + 0*z**6 + 0*z**5. What is the second derivative of r(f) wrt f? -204*f**2 Let c(h) be the first derivative of -332*h**5/5 - 173*h**2/2 + 187. Find the second derivative of c(r) wrt r. -3984*r**2 Let i(v) be the first derivative of -151*v**4/2 - 14*v**3 - 4*v - 334. What is the third derivative of i(c) wrt c? -1812 Let n(m) be the second derivative of -289*m**3/6 - 118*m**2 + 26*m - 1. Find the first derivative of n(d) wrt d. -289 Let a(l) = 8*l + 11. Let t = 9 - 4. Let i(z) = 17*z - 21 - 8*z - 16*z - 10*z. Let y(w) = t*a(w) + 2*i(w). What is the derivative of y(r) wrt r? 6 Let l(u) = -u**2 - 2*u - 3. Let b(k) be the first derivative of -k**3/3 - k**2 - 4*k - 3. Let h(a) = -3*b(a) + 4*l(a). Find the second derivative of h(j) wrt j. -2 Find the second derivative of 15*u**3 - 34 + 73*u - 7*u**3 + 35 - 2*u**5 wrt u. -40*u**3 + 48*u Suppose -4*f - 22 = 2*g, 0 = -3*f + 7*f - g + 25. Let m = 8 + f. Find the third derivative of -n - 42*n**4 + 31*n**4 + n - 10*n**m wrt n. -264*n Differentiate -8 - 40 + 24*c**4 - 73*c**4 - 15 wrt c. -196*c**3 Let k(p) be the second derivative of 1/2*p**2 + 0 + 0*p**3 + 0*p**4 - 3/10*p**6 + 0*p**5 + 22*p. Differentiate k(q) with respect to q. -36*q**3 Find the third derivative of -4*a**2 - 25*a**5 + 21*a**2 + 7*a**2 - 61*a**5 wrt a. -5160*a**2 Let w = -17 - -26. Find the second derivative of -3*z**2 + 9*z**2 + w*z + 12*z**2 wrt z. 36 What is the second derivative of 38*i**4 + 55 + 2*i - 7 - 5*i + 2*i wrt i? 456*i**2 Let j(d) be the second derivative of 19*d**7/210 - d**3/2 - 17*d**2/2 - 8*d. Let q(o) be the first derivative of j(o). What is the derivative of q(g) wrt g? 76*g**3 Let r be (-2 - (2 - 0)) + -2. Let v be -4 - (3/(-1) + r). What is the second derivative of 8*i - i**v - 3*i + 7*i**5 wrt i? 120*i**3 Suppose 1 = 2*z - 3*h, -z - z - 2*h + 6 = 0. Let u be (-3)/5 - 56/(-10). Differentiate -z + 5 + c + u*c wrt c. 6 Let a(l) be the first derivative of -17/5*l**5 - 22 + 19*l + 0*l**2 + 0*l**4 + 0*l**3. What is the derivative of a(c) wrt c? -68*c**3 Let d(n) = n**2 - 6*n - 15. Let a be d(9). What is the third derivative of 8*b**2 + 3*b**4 + 5*b**4 + a*b**4 wrt b? 480*b Suppose 4 + 0 = 2*a - 5*g, -a = -3*g. Find the third derivative of -q**2 + 0*q**2 + a*q**5 - 10*q**2 wrt q. 720*q**2 Find the third derivative of 37*f + 40*f - 23*f**2 - 55*f**3 + f**2 - 67*f wrt f. -330 Find the third derivative of -5*k + 4*k + 228*k**2 + 4*k**5 - 168*k**2 - 102*k**5 wrt k. -5880*k**2 Let z(t) be the second derivative of 0*t**2 - 3/2*t**4 - 1/2*t**3 - 2*t + 0. What is the second derivative of z(d) wrt d? -36 Suppose -3*p + 29 = -16. Let h = p - 9. Find the third derivative of -h*n**2 - 6 + 6 + n**5 + 5*n**5 wrt n. 360*n**2 Let u = 547 - 1093/2. Let k(i) be the first derivative of u*i**2 + 0*i - 1/3*i**3 + 5. Find the second derivative of k(c) wrt c. -2 What is the first derivative of 531*s**4 + 3*s + 26*s - 29*s + 555 wrt s? 2124*s**3 Suppose -5*f - 11031 - 2329 = -5*h, 2657 = h + 2*f. Find the second derivative of 9*g - 2667*g**2 + 13*g - 32*g**5 + h*g**2 wrt g. -640*g**3 Let p(d) = d - 4. Let c be p(6). Suppose k - c + 3 = 4*u, -5*k + 20 = 5*u. What is the first derivative of -6*w**4 + 2 + 0 + u wrt w? -24*w**3 Suppose p + 3*w - 16 = -4*p, 20 = 5*p + 5*w. What is the first derivative of -5 - 8*q + 2*q - p wrt q? -6 Let y = 61 + -58. What is the third derivative of n**2 - 8*n**y + 14*n**3 + 17*n**3 wrt n? 138 What is the third derivative of 4*f**6 + 44*f**5 + 17*f**5 - 574*f**2 - f**6 + 16*f**5 + 205*f**2 wrt f? 360*f**3 + 4620*f**2 Let p(o) be the third derivative of -43*o**6/30 + 7*o**4/8 + 2*o**3/3 - 103*o**2. Find the second derivative of p(t) wrt t. -1032*t Let u(g) be the first derivative of -5/2*g**4 - 8/3*g**3 + 15 + 0*g**2 + 0*g. Find the third derivative of u(r) wrt r. -60 Let i be 6/2*(1 + 0). Let j(d) = -9*d - 48. Let h be j(-6). What is the derivative of h - 2 + i + 0*l + 5*l wrt l? 5 What is the third derivative of -f**4 - 17*f**2 - 84*f**3 - 85*f**3 - 1162*f + 1169*f wrt f? -24*f - 1014 Let x = -10 + 12. What is the third derivative of 22*b**6 - 11*b**6 + 8*b**x + 7*b**2 wrt b? 1320*b**3 Let a(x) be the second derivative of -111*x**5/20 + 107*x**2/2 + 15*x - 3. What is the first derivative of a(q) wrt q? -333*q**2 Let u(t) be the third derivative of 0*t**3 + 0*t + 0 - 1/15*t**5 - 5/4*t**4 - 7*t**2. Find the second derivative of u(q) wrt q. -8 Find the first derivative of 2*g**3 + 5*g**3 - 174*g**2 - 71 + 8*g**3 + 176*g**2 + 9 wrt g. 45*g**2 + 4*g Let z be (-3)/((-17)/10 - 12/(-60)). Let g(k) be the second derivative of 0*k**3 + 1/4*k**4 - 5*k + 0 + k**z. What is the first derivative of g(s) wrt s? 6*s Suppose -g - 9 + 11 = 0. Find the second derivative of -4*f**g - 27*f - 9*f + 12*f wrt f. -8 Let c(n) be the second derivative of 2/3*n**4 + 0*n**3 + 6*n + 0 - 5*n**2. Find the first derivative of c(a) wrt a. 16*a Let q(i) be the first derivative of -21*i**4/4 + 18*i**3 + 77. What is the third derivative of q(c) wrt c? -126 Suppose 5*p + 5*x - 52 = 3*p, 5*p = 5*x + 95. Let r = 2 + p. Find the second derivative of 2*b**2 - 2*b**2 - 22*b + r*b + 11*b**4 wrt b. 132*b**2 Let v = -60 - -58. Let j(t) = 10*t**2 + 4. Let w(q) = 19*q**2 + 8. Let y(x) = v*w(x) + 5*j(x). Find the first derivative of y(o) wrt o. 24*o Let y = 42 + -25. Let l = -16 + 25. Differentiate -13 + y + 6*q - l wrt q. 6 Let r = -1222 + 1224. Let v(k) be the third derivative of 0*k**4 + 5*k**r + 1/30*k**6 + k**3 + 0*k + 0 + 0*k**5. Differentiate v(y) with respect to y. 12*y**2 Let w(h) = 24*h + 5. Let a(t) = t - 2. Let r be a(12). Let o(q) = 1 + r*q + 1 - 2*q. Let j(m) = 7*o(m) - 2*w(m). Differentiate j(n) wrt n. 8 Let k = 68 - 66. Find the first derivative of a**k - a**2 + 707 - 730 + 12*a**3 wrt a. 36*a**2 Let i(q) = 5*q + 4. Let g = 1 + -9. Let v be (-8)/12*-3 - 5. Let t(k) = -14*k - 11. Let n(x) = g*i(x) + v*t(x). What is the derivative of n(z) wrt z? 2 Let o(v) = 3*v - v**2 + 10*v - 3 - 6*v + 6. Let f be o(7). Find the third derivative of -5*c + f*c**2 - 3*c**6 + 7*c - 2*c wrt c. -360*c**3 Let n(t) = -5*t + 1. Let q be n(-1). Let h be 36/q + 1*-4. Find the second derivative of -6*i - 7*i**4 + 11*i + 5*i**h - 5*i**2 wrt i. -84*i**2 Let q(h) = 880*h**3 + 6*h**2 - 6*h - 516. Let z(u) = -1761*u**3 - 10*u**2 + 10*u + 1030. Let w(n) = 5*q(n) + 3*z(n). Differentiate w(s) wrt s. -2649*s**2 Let j = 483/194 - -1/97. Let p(c) be the first derivative of -6 + 0*c**3 + 0*c - j*c**2 + 3/4*c**4. Find the second derivative of p(z) wrt z. 18*z Suppose -3*h = 4*o - 4206, -o + 1353 = 2*h - 1446. What is the first derivative of h*c - 1398*c - 19*c**2 + 5 wrt c? -38*c Suppose 0 = w + 5*x + 12, -5*w - 4*x + 6 = 3. What is the third derivative of -4288*q**2 + 4312*q**2 - w*q**3 + 10*q**3 wrt q? 42 Let r(v) = v**3 - 7*v**2 - 6*v - 10. Let b be r(8). What is the third derivative of 5*p + 22*p**b + p**2 - 36*p**6
{ "pile_set_name": "DM Mathematics" }
atest common factor of 5504 and 43? 43 Calculate the greatest common divisor of 6115 and 5. 5 Calculate the greatest common factor of 477 and 279. 9 Calculate the greatest common factor of 3374 and 14. 14 What is the highest common factor of 20 and 116? 4 Calculate the highest common divisor of 73 and 4307. 73 Calculate the greatest common factor of 205 and 2. 1 What is the highest common factor of 2304 and 16? 16 Calculate the highest common divisor of 6804 and 18. 18 What is the greatest common divisor of 20 and 1756? 4 Calculate the greatest common divisor of 73 and 11461. 73 Calculate the highest common divisor of 3100 and 500. 100 What is the highest common factor of 120 and 885? 15 What is the highest common factor of 531 and 59? 59 Calculate the highest common factor of 1136 and 16. 16 Calculate the greatest common divisor of 1404 and 1728. 108 Calculate the greatest common factor of 6600 and 110. 110 What is the highest common factor of 3 and 1641? 3 What is the highest common factor of 7 and 7651? 7 What is the greatest common factor of 188 and 423? 47 Calculate the highest common divisor of 23 and 391. 23 What is the greatest common factor of 26 and 46826? 26 What is the greatest common factor of 7896 and 336? 168 What is the highest common divisor of 36 and 396? 36 What is the highest common divisor of 210 and 330? 30 Calculate the greatest common factor of 12 and 612. 12 What is the highest common factor of 784 and 686? 98 What is the highest common divisor of 1053 and 324? 81 Calculate the highest common factor of 59 and 1829. 59 What is the highest common divisor of 110 and 44? 22 What is the highest common factor of 108 and 7452? 108 Calculate the highest common divisor of 8 and 360. 8 What is the highest common divisor of 20 and 288? 4 What is the highest common factor of 15 and 170? 5 What is the greatest common divisor of 144 and 12744? 72 Calculate the greatest common divisor of 31 and 837. 31 Calculate the greatest common divisor of 210 and 7805. 35 Calculate the greatest common factor of 21 and 35. 7 What is the highest common factor of 144 and 9? 9 What is the greatest common divisor of 3302 and 234? 26 What is the highest common divisor of 193 and 38793? 193 What is the greatest common divisor of 230 and 30? 10 Calculate the highest common divisor of 1 and 422. 1 What is the greatest common factor of 132 and 88? 44 What is the greatest common divisor of 36 and 9852? 12 What is the highest common divisor of 195 and 637? 13 Calculate the greatest common divisor of 1386 and 56. 14 What is the highest common divisor of 904 and 8? 8 Calculate the greatest common factor of 34 and 1836. 34 Calculate the highest common factor of 20 and 5660. 20 What is the greatest common factor of 339 and 4294? 113 Calculate the highest common factor of 14 and 2538. 2 Calculate the greatest common factor of 273 and 20358. 39 What is the highest common divisor of 294 and 364? 14 Calculate the greatest common divisor of 511 and 657. 73 What is the greatest common divisor of 356 and 1157? 89 What is the highest common divisor of 2 and 251? 1 What is the highest common factor of 2550 and 600? 150 What is the greatest common divisor of 282 and 6956? 94 Calculate the highest common factor of 10215 and 45. 45 Calculate the greatest common factor of 1195 and 5. 5 What is the highest common factor of 11774 and 7? 7 Calculate the greatest common divisor of 1105 and 12818. 221 What is the greatest common factor of 609 and 35? 7 Calculate the highest common factor of 32 and 12. 4 Calculate the greatest common divisor of 329 and 94. 47 What is the greatest common factor of 3 and 2103? 3 What is the greatest common divisor of 12 and 516? 12 What is the greatest common divisor of 117 and 26? 13 What is the highest common divisor of 36 and 1008? 36 What is the highest common factor of 1562 and 22? 22 Calculate the highest common factor of 174 and 8584. 58 Calculate the highest common divisor of 624 and 32. 16 Calculate the highest common divisor of 400 and 304. 16 What is the greatest common divisor of 7147 and 7? 7 What is the greatest common factor of 91 and 39? 13 Calculate the greatest common factor of 35 and 175. 35 Calculate the highest common divisor of 260 and 30. 10 What is the highest common factor of 81 and 77193? 81 Calculate the greatest common factor of 66 and 440. 22 What is the greatest common divisor of 66 and 132? 66 Calculate the greatest common factor of 77 and 189. 7 Calculate the highest common divisor of 69 and 23. 23 Calculate the greatest common factor of 1738 and 316. 158 What is the greatest common factor of 55 and 143? 11 Calculate the greatest common divisor of 4165 and 340. 85 What is the highest common divisor of 2453 and 22? 11 What is the highest common divisor of 58 and 1247? 29 Calculate the greatest common divisor of 4521 and 137. 137 Calculate the greatest common factor of 26 and 3224. 26 Calculate the highest common divisor of 2384 and 24. 8 What is the greatest common factor of 212 and 1590? 106 What is the greatest common divisor of 13 and 13? 13 What is the highest common divisor of 230 and 506? 46 Calculate the highest common factor of 75 and 3285. 15 What is the greatest common factor of 2 and 18? 2 Calculate the highest common factor of 28 and 68. 4 What is the greatest common divisor of 166 and 6? 2 What is the greatest common factor of 12 and 244? 4 What is the highest common factor of 35 and 115? 5 Calculate the highest common factor of 171 and 117. 9 What is the highest common divisor of 18 and 214? 2 What is the highest common divisor of 7426 and 158? 158 What is the greatest common factor of 1314 and 288? 18 What is the greatest common factor of 9 and 498? 3 What is the greatest common divisor of 4 and 96? 4 What is the highest common factor of 9 and 501? 3 What is the greatest common divisor of 9 and 1? 1 What is the highest common factor of 172 and 1075? 43 What is the highest common divisor of 13806 and 59? 59 Calculate the greatest common factor of 132 and 48. 12 Calculate the greatest common factor of 206 and 1339. 103 What is the highest common factor of 78 and 78? 78 Calculate the greatest common factor of 159 and 2597. 53 What is the greatest common divisor of 18 and 495? 9 Calculate the greatest common divisor of 9546 and 129. 129 Calculate the highest common factor of 68 and 6562. 34 What is the highest common factor of 12 and 42? 6 What is the highest common factor of 2680 and 10988? 268 Calculate the greatest common divisor of 416 and 884. 52 Calculate the greatest common divisor of 2598 and 24. 6 Calculate the greatest common factor of 39 and 723. 3 Calculate the highest common factor of 105 and 1085. 35 What is the highest common factor of 232 and 2146? 58 What is the greatest common divisor of 603 and 67? 67 Calculate the highest common factor of 198 and 207. 9 What is the highest common divisor of 50 and 650? 50 What is the highest common factor of 52 and 13637? 13 Calculate the greatest common factor of 7 and 25. 1 Calculate the highest common factor of 235 and 47. 47 Calculate the greatest common factor of 24 and 136. 8 What is the highest common factor of 8890 and 1016? 254 What is the highest common divisor of 5904 and 32? 16 Calculate the greatest common divisor of 217 and 3224. 31 Calculate the greatest common factor of 8920 and 40. 40 What is the greatest common divisor of 10 and 4? 2 What is the highest common factor of 3381 and 882? 147 Calculate the greatest common factor of 23 and 3427. 23 Calculate the greatest common factor of 71 and 60. 1 Calculate the highest common divisor of 1067 and 3104. 97 What is the highest common factor of 1073 and 37? 37 Calculate the greatest common factor of 1 and 171. 1 Calculate the greatest common factor of 26 and 3406. 26 What is the greatest common divisor of 64 and 1264? 16 Calculate the greatest common divisor of 2586 and 9. 3 Calculate the highest common divisor of 11 and 11. 11 What is the highest common factor of 15 and 48? 3 Calculate the highest common divisor of 78 and 156. 78 What is the highest common factor of 30 and 330? 30 What is the greatest common divisor of 7 and 2611? 7 Calculate the greatest common factor of 16 and 7468. 4 C
{ "pile_set_name": "DM Mathematics" }
Solve -3*t + s - 51 = 3 - 11 + 14, 38 = -2*t - 13*s for t. -19 Solve 4*d = 8*c - d - 5 - 45 + 1, -4 = -2*d + 2 for c. 8 Solve -v + 26 = -2*z, 2*v = 270*z - 271*z + 52 for z. 0 Solve 3*m - 9652 = -o - 9616, 2*m = 4*o - 3*m + 77 for o. -3 Solve -16*w + 508 = 3*c, 32*c - 21*c = 14*c - 12 for w. 31 Solve -2*w - 3*w = 3*o - 40 + 51, -w = 98*o + 197 for w. -1 Solve 1 = 2*l - d, -2*l - 5*d + 2322 = 2291 for l. 3 Solve -153*q - 78 = -152*q - 3*p, 3*p - 5*p = 8*q - 78 for q. 3 Solve 4*q + v + 70 = 0, -49832*q - 3*v + 60 = -49835*q for q. -18 Solve 30*j + 24106 - 24085 = -3*k, 4*k + 14*j - 18*j + 72 = 0 for k. -17 Solve 3*r - 175 = -17*z + 106, 38*r - 6 - 3 = 72*r - 37*r for z. 16 Solve 0 = 4*o + 7*z - 35, -15 = 6308*z - 6303*z for o. 14 Solve -2*p - 3*p + 42055 = -f + 3*f + 42106, 0 = -2*p - 2*f - 24 for p. -9 Solve 0 = -2*r - 4*s - 28, 32*s = -r - 194 for r. -2 Solve -c + 814351*w - 23 = 814348*w, -3*c = -2*w + 27 for c. -5 Solve 4*l = 8, 17*v - 4*l - l = -2*l - 4*l - 19 - 13 for v. -2 Solve -31 = -3*r + 2*q, 4*q - 3*q = -4*r + 9 - 8 for r. 3 Solve i = -120*t - 3*i + i + 267, -8*t + 7*t - 5*i = -47 for t. 2 Solve 22*i + 1300*q - 1299*q - 23 = 0, -3*i = -2*q - 1 for i. 1 Solve 25818*v = -3*n + 25814*v + 130, 10*v = 4*n + 3*v - 235 for n. 50 Solve 0 = 2*a + 2*r, a + 5*r - 56 = -76 for a. 5 Solve 358*q - 324*q = i + 71, q + 7 = -3*i for i. -3 Solve 0 = 4*i - b - 18, i = i - 4*i - 8*b - 36 for i. 3 Solve -85 - 66 = -17*j + o, -3*o - 4 = -22*j - 6*o + 75 + 125 for j. 9 Solve -3474*r + 3467*r + 3*t = 148, 2*r = -t - 46 for r. -22 Solve -4*d - 62 = 83*v - 86*v, 0 = -5*v + 5*d + 75 for v. -2 Solve 153*s - 150*s = 4*w + 42, 3*s + w - 12*w - 105 = 0 for s. 2 Solve 5*j + 9*l - 22*l = l - 120, -l + 18 = 2*j for j. 4 Solve -5978*u + 5975*u = -5*f, 4*f = 2*u for f. 0 Solve 4*j + 35*c - 49 = 42*c, -14*j + c = -18*j - 7 for j. 0 Solve -7*c = -14*k + 17*k - 277, c + 2*k - 36 = -17 + 19 for c. 40 Solve -7*o + 80 + 64 = -n, 0 = n + 12*o - 236 for n. -4 Solve -3*c + 29 - 413 = -9*f, -4*c = -3*f + 134 for c. -2 Solve 2*q + 0*q + 114*y + 418 + 714 = 0, -8 = 4*q + 4*y + 19 - 3 for q. 4 Solve 24946*l + 2*v = 24950*l - 2, -4*v = -3*l + 4 for l. 0 Solve -16*i + 5*a - 12 = -32*i + 14*i, 0 = -40*i - 2*a - 152 for i. -4 Solve g + 13 = -t + 17 - 16, -2*t = 4*g + 48 for t. 0 Solve 3*y = 4*m - 5*m - 13, 0 = 20586*y - 20587*y - 28*m - 198 for y. -2 Solve 3*t + 0*t = -12*h + 36, 3*t = -h - 13865 + 13857 for h. 4 Solve -74*a + 63*z - 64*z = -12 - 244 - 135, -2*a + z = 11 for a. 5 Solve -13*f = -5*n + 46, 5*f - 10264*n + 10268*n - 6 = 0 for f. -2 Solve -561 = 2*p - 7*p + 32*l, -3*l = 5*p - 2*p + 77 - 14 for p. -3 Solve -5*b = 240, 0 = -3*n - 325502*b + 325501*b - 51 for n. -1 Solve 2 = 5*i - 3*v, 11 = -3355*i + 3360*i - 4*v for i. -5 Solve 0 = f + 1, 10*s + 56*f = -72*f + 132*f - 246 for s. -25 Solve -2*a = 2*b - 22, -53*b = -2*a + 66*b - 127*b + 94 for a. -1 Solve 4*a = -4*l + 52, -l - 505*a = -10*l - 502*a - 99 for l. -5 Solve 2*c = 5*h + 128, -h - 432*c = -427*c + 4 for h. -24 Solve 4*y + 67 = -3*q, -2*y = -3*q + 864 - 961 for y. 5 Solve 212*b - 200*b = -v + 658, -4*b - 4*v + 212 = 0 for b. 55 Solve 457*v + 1 = -4*f + 458*v + 4, -2*f + 2*v - 6 = 0 for f. 2 Solve -4 = -4*d, -4*x - 4*d + 316 - 332 = 0 for x. -5 Solve -35*x + 3*p = -1677, -699*x + 0*p - 3*p = -704*x + 237 for x. 48 Solve -6*o - 71 - 192 = h + 280, 0 = o + 3*h + 82 for o. -91 Solve 5*j - 59615*k + 59616*k = -13, -5*j = 4*k + 67 for j. 1 Solve 0 = -d + 2*k - k + 91 - 89, 0 = -2*d + 5*k - 8 for d. 6 Solve 56*p = -3*w + w + 113*p - 65*p + 66, -6*w + 5*p = 34 for w. 1 Solve 2*i = 5*z + 10, 582842*z + 22 = 582838*z + 3*i for z. 2 Solve -b + 490 = 3*f + 485, -2*f + 14 = -2*b for f. 3 Solve -1218*i = r - 2365 - 67, -14*r + 9*r - i = 18 for r. -4 Solve 5*g + 53 = -i, 2*i + 62 = -19624*g + 19625*g for i. -33 Solve 9*y - 4*p - 28 = 0, 2*y = -64*p + 68*p for y. 4 Solve 73 = k - 4*o, 8465818*o - 8465823*o - 85 = 0 for k. 5 Solve 0 = 5*p - 5*b + 45, -5*p - 5*b + b - 226 + 154 = 0 for p. -12 Solve -2*u + 5*x - 21 = 0, 56 = 239490*u - 239472*u + 4*x for u. 2 Solve w - 32 = -3*s, -306*w + 304*w + 60 = 2*s for s. 1 Solve 601*p - 28 = 596*p - 3, 2*a + 0*a + 0*a - 4*p + 22 = 0 for a. -1 Solve -3*t - 59*c + 13 = -49*c, -2*t + 8*c = -6*c + 12 for t. 1 Solve 77*q - 67*q = -9*k - 175, 5*q = 5*k - 40 for k. -5 Solve 4*g - 169*n + 185 = 0, 1112*g + 4*n + 24 = 551*g + 554*g for g. -4 Solve 0 = 2*t - 119*p + 97, -6096*t = -6098*t - 6*p + 28 for t. 11 Solve w - 22 = -4*m - 8 + 11, 7*w - 11*m + 2*m = 27 for w. 9 Solve 5*f + 69 = -5498372*p + 5498375*p, -5*p = 5*f + 45 for p. 3 Solve 348*m - 349*m - 15 = -3*s, 4*m = -2*s - s - 105 for s. -3 Solve -3*m - 11 = -2*m + 5*c, 45*c + 32 + 29 + 74 = 0 for m. 4 Solve 5*q + 25 = -3*s, -3*q - 26 = 3396*s - 3392*s for q. -2 Solve -82*k + 27*k = -28*k - 29*k + q - 32, 2*q = 0 for k. -16 Solve 77 = -4*v + 180*q - 177*q, -8 = -2*q - 2 for v. -17 Solve 4*m - 5*z + 2464 = 2502, -4 = 5*m + 4*z - 2*z - 2 for m. 2 Solve 7*b + 26*q - 28*q - 20 = 0, -1775*b + 4*q + 14 = -1770*b - 8 for b. 2 Solve -76*y + r - 610 = 0, 2*y - 2*r - r + 17 - 28 + 33 = 0 for y. -8 Solve -25*t + 25 = -q - 79, -4*t - 3*q = -4 for t. 4 Solve -4*i = k + 130, k + 6448 - 6483 = i for k. 2 Solve -1521*j + 1520*j + 5*v = 10, -13 = 2*j - 4*v + 1 for j. -5 Solve -b = -10*k - 6*b + 10, 97 - 87 = -2*k - 4*b for k. 3 Solve -2*w - 38*g - 278 = -432, -4*w - g + 8 = 0 for w. 1 Solve 2*k - 84 = t, -28052*k + 28058*k - 202 = 28*t for k. 43 Solve 44 = 4*g - 4*x, 2*x + 4 + 5 = 2 + 10 + 3 for g. 14 Solve -34*t - 286 = -5*m, 21*m - 13*m - 87*t = 4*m + 767 for m. -4 Solve 0*u + u - 18 = -6*b, 7*b + u = -4*u + 80 - 59 for b. 3 Solve 3*d + 16*y = -59, -3 = 2674*d - 2673*d + 2*y for d. 7 Solve -4*p + 12 = -7*p - p + j, 2*p - 4*j = 22 for p. -5 Solve -39 = -l - 4*h, 917875*h = -5*l + 917872*h + 110 for l. 19 Solve 3*o - 13 - 21 = -2*r + 11 - 29, 14*o = 2*r - 84 for r. 14 Solve -39 = 6*j - 2*j - 10*v + 27, -4*j + 13*v + 16 = 79 for j. -19 Solve -v - 28 = -5*j, 235*j = 230*j + 3*v + 34 for j. 5 Solve -194 = -99*a - 5*g + 14, g - 6 = -2*a - 0*g for a. 2 Solve -4 = 4*g, 0 = 1768*m - 1764*m + 5*g + 133 for m. -32 Solve -108*j + 228*j + 5*u - 204 = 114*j, 0 = 4*j - 4*u + 172 for j. -1 Solve 384 + 198 = -7*l + 3*v, -2*l = -6*l - 10*v + 13*v - 330 for l. -84 Solve h + 167 = 12*z + 94, 4*h + 64 = 10*z for h. -1 Solve -5*p + f + 32 = 0, -36*p + 66*p + 37 = 36*p - f for p. 5 Solve 2*j + 10 = 2*r - j, -21*r - 3*j = -r + 98 for r. -4 Solve 4*n - 17 = 434658*h - 434661*h, n - 2 = 0 for h. 3 Solve -5969*s - 13 = -3*v - 11942*s + 5969*s, s + 2 = v for v. 3 Solve 202*w - 54 = 200*w + 3*a, -w - a - 208 = -185 for w. -3 Solve 2*y - 6*i - 6 = 0, -10421*y - i = -10423*y - 4 for y. -3 Solve -16652*b + 71 = -f - 16664*b, 2*b = -2*f + f - 11 for f. 1 Solve 3*r = 134*w - 129*w + 13, 5*r - 2*w - 454 = -464 for r. -4 Solve 17*g - 68*g + 21*g + 17*g + 15*g + 92 = 0, 3*x + g = -40 for x. 2 Solve -313*y - 107 = 5*x - 330*y, -114 = 5*x - 3*y - 21 for x. -18 Solve -19*q + 25 = -5*o - 14*q, 2*o - 13*q = 42*q + 7*q - 70 for o. -4 Solve -1291*r = -5*t - 647*r - 648*r + 77, -r = t - 6*r + 60 for t. 5 Solve -74 = -10*l + 8*l + 6*l - 5*o, -2*o + 196 = -12*l for l. -16 Solve 11*u = 16*j - 18*j - 9, 6*j = -4*u + 3*j + j - 16 for u. 1 Solve -2*b - 57*p - 8 = 0, 17*p + 20 = -5*b - 20*p + 57*p - 19*p for b. -4 Solve -151 = 5*k + f - 135, 8*f + 5 = 4*k - 9*f for k. -3 Solve 3*b - 6 = 2*t + 2*b, 0 = 4*t + 11*b - 1740 + 1778 for t. -4 Solve -x + 972*n - 256 = 940*n, -40 = -5*n for x. 0 Solve -2*x + 14 = -5*y, -190336 = -5*y + x - 190343 for y. 0 Solve 0 = 79*c - 77*c - 2*m - 8, m = 16*c + 11 for c. -1 Solve -126 = 4*s - s + 3*x, -714*x + 1440*x - 727*x = 6*s + 242 for s. -40 Solve -6606*w + 6606*w + 3*r = 6, 5*w + 10*r = 55 for w. 7 Solve 22*c = 53*c - 27*c - 8 + 28, -3*x - 44 = -21*x - 2*c for x. 3 Solve -25*d - 5*v + 48 = -2*v - 17 - 17, -2*d + 2*v + 20 = 0 for d. 4 Solve 0*x = 8*l + 5*x - 1, 0 = -8*x + 7*x - 3 for l. 2 Solve 1050108*a + 9 = 1050105*a, 7*a = -3*q + 138 for q. 53 Solve -2060*r - 54 = -2062*r - 11*w, -4*w + 1 = -3*r for r. 5 Solve 4*v = -7*c + 76, -21*v = c - 17*v - 28 for c. 8 Solve -5*k + 1425 = -h + 1446, -5*k + 630 = 20*h for h. 31 Solve -149*s - 33 = 5*d - 155*s, -d - 61 = -8*s for d. 3 S
{ "pile_set_name": "DM Mathematics" }
s the second derivative of -1189*b*x**2 - 137165*b*x + b + 127*x**2 wrt x? -2378*b + 254 Differentiate -363*j**3*s - 99*j**3*v + 792*j*s**3*v + 494*s**3 with respect to v. -99*j**3 + 792*j*s**3 What is the third derivative of 175*s**6 + 55*s**3 - 2*s**2 - 9*s - 99? 21000*s**3 + 330 What is the third derivative of -11*p**4 - 20637*p**3*v + 7*p**2*v + p*v - 20*p - 711*v wrt p? -264*p - 123822*v What is the second derivative of 19976*f**2 - 6*f - 2453 wrt f? 39952 What is the second derivative of 12446*y**3 + 63744*y - 7 wrt y? 74676*y What is the third derivative of -839*j**4 + 38*j**3 + 1486*j**2 wrt j? -20136*j + 228 Find the second derivative of 350504*c**2*x**3 + 3*c*x**3 - 2*c*x + 48*c - 66*x**3 wrt c. 701008*x**3 What is the third derivative of 3592*u**4 - 44703*u**2? 86208*u Differentiate -25561*a**3 - 2*a**2 + 5*a + 86946 wrt a. -76683*a**2 - 4*a + 5 What is the second derivative of -2*i*j**3*k*t + 8*i*j**2*t + 222*i*j*k*t + 2*i*t + 3*i + 3809*j**2*k - j - k wrt j? -12*i*j*k*t + 16*i*t + 7618*k Find the third derivative of 33*b**3*x**2 - 1546*b**3 + 2*b**2*x**2 - b*x**2 + x**2 + 1436 wrt b. 198*x**2 - 9276 Find the third derivative of 55*q**5 - 57*q**4 - q**3 + 20713*q**2 - q - 1 wrt q. 3300*q**2 - 1368*q - 6 What is the derivative of -173*g**2 + 625*g + 286871? -346*g + 625 Differentiate 245292*f**3 + 3*f*u**2 + 2*u**2 + 10*u - 5793 with respect to f. 735876*f**2 + 3*u**2 Find the second derivative of -1427*m**3 - 30358*m. -8562*m What is the third derivative of 6*r**6*y**2 - 2880*r**4*y - 14*r**2*y**2 - r - 89*y wrt r? 720*r**3*y**2 - 69120*r*y Find the third derivative of -126264*x**3 + 268570*x**2. -757584 Find the third derivative of 423*s**5 - 21*s**4 - 18*s**2 - 331 wrt s. 25380*s**2 - 504*s What is the first derivative of 1963373*c + 491985 wrt c? 1963373 What is the third derivative of 238*u**3*y - 4955*u**3 - 1984335*u**2*y - 2*u**2 wrt u? 1428*y - 29730 What is the first derivative of -74132*f**2 - 46758? -148264*f What is the third derivative of 75727*r**4 + 518*r**2 - 115 wrt r? 1817448*r What is the second derivative of 6004*m**5*t + m**3*t + 1133*m + 15*t wrt m? 120080*m**3*t + 6*m*t What is the second derivative of 48978*j**3 + 4081*j - 35 wrt j? 293868*j Find the second derivative of 5*j**2*w**2 - 2*j**2*w + 1084*j**2 + 42*j*w**2 - 168*j*w - j - 3*w**2 wrt j. 10*w**2 - 4*w + 2168 What is the first derivative of -529781*c*i - 392162*i wrt c? -529781*i Differentiate 7*j**3*n + 160*j**3 - 5166*j**2*n**4 - 3*j**2 - 11 with respect to n. 7*j**3 - 20664*j**2*n**3 Find the second derivative of 145*m*q**2*w**2 - 433*m*q*w**2 - 10246*m*q*w + 3*m*w**3 + 3*q**2 - 3*w wrt w. 290*m*q**2 - 866*m*q + 18*m*w Find the second derivative of 85343*v**5 - v - 35573 wrt v. 1706860*v**3 Find the second derivative of i*j*r**2 + 50*i*j + 57*i*r**2 - 905*j*r**2 + 4*j - 133*r wrt r. 2*i*j + 114*i - 1810*j What is the second derivative of -1028295*k**2 + 91*k + 4155 wrt k? -2056590 What is the third derivative of 46619*d**3*z + d**2*z + 2*d**2 + 10198*z wrt d? 279714*z Find the first derivative of 36656*f - 41071 wrt f. 36656 What is the second derivative of -285136*j**3 - 48*j - 547? -1710816*j Find the third derivative of -24680*l**2*v**3*z**3 - l**2*v**3*z**2 - 2*l**2*v**3*z - l**2*v*z**2 + 132*l*v**2*z**2 - 51*l*z wrt z. -148080*l**2*v**3 What is the third derivative of -204511*b**5 + b**4 - 2*b**2 - 296*b + 2? -12270660*b**2 + 24*b Find the third derivative of 452264*o**4 - 714*o**2 + 208. 10854336*o Find the third derivative of -260*s**4*y**3 + 2*s**4*y - 2*s**3*x - 5*s**2*x*y**2 - 1677*s**2*y**3 + s**2*y**2 wrt s. -6240*s*y**3 + 48*s*y - 12*x What is the second derivative of 4367*z**2 + 22849*z wrt z? 8734 Find the second derivative of 4*a**3*f - 80*a**3 + 119*a**2*f - 2*a**2 - 13*a*f - 38*a - 2*f + 57 wrt a. 24*a*f - 480*a + 238*f - 4 Find the first derivative of -51*a*o*r*w**3 - 2536*a*o*r*w**2 - 7*o*r*w**2 - 81*o*r + 3*o*w + 2*w**3 wrt a. -51*o*r*w**3 - 2536*o*r*w**2 Find the third derivative of -j**5 + 5230*j**4 + 3*j**3 + 442664*j**2 + 1 wrt j. -60*j**2 + 125520*j + 18 Differentiate 6*j**2*v**2 - 1101*j**2 + 11*j*v**2 + 345*j*v - j - 15 with respect to v. 12*j**2*v + 22*j*v + 345*j Find the third derivative of 92*a**4*s**2 - 61*a**3*s**2 + 20*a**2*s**2 - 159*s**2 wrt a. 2208*a*s**2 - 366*s**2 What is the third derivative of 15*t**6 + 38*t**5 + 3*t**3 - 46850*t**2 wrt t? 1800*t**3 + 2280*t**2 + 18 What is the second derivative of -4732*g**3 + 12559*g wrt g? -28392*g What is the second derivative of -2*c**3*q**2*v + c**3*q*v + 14*c**3*q - 88*c**3*v - c**2*q*v + 11*c*q**2*v + 2*c*v + 3616*q**2*v wrt q? -4*c**3*v + 22*c*v + 7232*v What is the derivative of 559671*f**2*t + 3*f**2*z + 1333*t*z + 2*t + 88*z wrt f? 1119342*f*t + 6*f*z What is the third derivative of -2185890*j*l**3 + 2*j*l**2 + 102*j + 22*l - 16 wrt l? -13115340*j Find the second derivative of -304*a**3*m**3 + 4*a**3*m**2 + 8244*a**3 - 5*a**2*m - 3*a + 4*m**3 wrt m. -1824*a**3*m + 8*a**3 + 24*m Differentiate v**3 + 1811*v**2 - 15*v - 1795604 wrt v. 3*v**2 + 3622*v - 15 Differentiate -9*s**2*v + 3*s**2 - 14738*s*v**2 - 344147*v**2 wrt s. -18*s*v + 6*s - 14738*v**2 What is the third derivative of -5*h*t*u**3 + h*t + 67*h*u**3 + 2852*h*u - 27*u**3 + 2*u**2 wrt u? -30*h*t + 402*h - 162 What is the derivative of -92*c**4 + 2*c**2 - 21*c - 52274? -368*c**3 + 4*c - 21 What is the derivative of 2662*f**2*v - 1198*f**2 - 15*v**2 + 40 wrt v? 2662*f**2 - 30*v Find the second derivative of 9*x**4 + 15*x**3 - 193*x**2 + 4*x + 20447. 108*x**2 + 90*x - 386 Differentiate -22*c*y**3 - 1457*c*y**2 + 3*c*y + 8*c + 3*y**3 - 24*y**2 + 1345*y - 3 wrt c. -22*y**3 - 1457*y**2 + 3*y + 8 What is the first derivative of -754983*u**3 - 859391 wrt u? -2264949*u**2 What is the second derivative of 8*w**4 - 10*w**3 + 38*w**2*x + 4307*w*x + 4*w - 2*x - 2 wrt w? 96*w**2 - 60*w + 76*x What is the first derivative of 3096*x**4 - 128*x - 316311? 12384*x**3 - 128 What is the third derivative of 2*m**3*t**2*v - 3867*m**3*t*v**3 - 8*m**2*t*v**3 + m**2 - 4871*t**2*v wrt m? 12*t**2*v - 23202*t*v**3 Find the third derivative of 6850*i**2*y**4 - i**2*y**2 - 3*i**2*y - 3*i**2 + 51*i*y wrt y. 164400*i**2*y What is the first derivative of -1694359*j**2 + 2151069? -3388718*j Find the second derivative of -3*p**3*s*y**2 - 118*p**3 - 2*p**2*s*y + 20*p*s*y + 523*p*y**2 wrt p. -18*p*s*y**2 - 708*p - 4*s*y Differentiate -27*n**4 + 1611*n**3 + 5*n - 591636. -108*n**3 + 4833*n**2 + 5 Find the second derivative of 4*a**3*b**2*p + 2*a**3*b*p + a**3*p - 26066*a*b + 11860*b**2*p wrt b. 8*a**3*p + 23720*p What is the third derivative of 4*d**5 - 102589*d**3 - 667*d**2 + 893*d? 240*d**2 - 615534 Differentiate -71140*o**3*q**3 + 2*o**3 - 3*o**2 + o - 2*q**3 + 134 wrt q. -213420*o**3*q**2 - 6*q**2 Find the first derivative of -1645*x**4 + 6*x + 445699. -6580*x**3 + 6 What is the second derivative of -2*a**2*m**2 - 35*a**2*m*w**2 + a**2*w - 22*a**2 + 9*a*m**2*w**2 - a*m**2*w + 2*a*w**2 - 44*m wrt a? -4*m**2 - 70*m*w**2 + 2*w - 44 What is the third derivative of -2*i**6 + i**5 - 4055*i**3*m + 2*i**2*m + 1566*i**2 + m wrt i? -240*i**3 + 60*i**2 - 24330*m Differentiate -43427*j*o**2 - 72391*j + 1 wrt o. -86854*j*o Find the first derivative of -21*p*t*z - 2*p*z**2 + 1403*t**2 + t*z**2 + 444*z**2 + 2*z wrt t. -21*p*z + 2806*t + z**2 Find the third derivative of g*n**4 + g*n**3 - 28*g*n**2 + 2*n**4 - 2923*n**3 + 3*n**2 wrt n. 24*g*n + 6*g + 48*n - 17538 Find the second derivative of 206632*c**2 + 97*c + 63 wrt c. 413264 What is the second derivative of -20*z**3 + 60348*z**2 - 317*z + 674? -120*z + 120696 Find the second derivative of -20612*d**3 + 46833*d. -123672*d Find the third derivative of -48074*h**3 + 2*h**2 - 4083*h - 4. -288444 What is the first derivative of 656364*z + 768301 wrt z? 656364 Find the second derivative of 9*g*i*j**2*l - 9*g*i*j**2 - 2*g*l + 2*g - 2*i*j**2 - 4*i + 6*j**2*l - 4*j + 16 wrt j. 18*g*i*l - 18*g*i - 4*i + 12*l Find the second derivative of 1739967*k**2*q**2 - 214*k*q**2 + 3*q**2 + 948*q wrt k. 3479934*q**2 What is the derivative of 256746*h*j**2 + 4*j**2 + 1301*j + 110 wrt h? 256746*j**2 Find the first derivative of -19442*c**4 + c**2*n + 52979*n wrt c. -77768*c**3 + 2*c*n What is the second derivative of 2
{ "pile_set_name": "DM Mathematics" }
/1785*w**7 + 0 - 3/952*w**8 + 0*w**5. Solve q(y) = 0 for y. -1, -2/9, 0 Let d be (10/15)/(2/111). Suppose -4*j + d = 1. Find v, given that 9*v**3 - 3*v**4 + 9 - 3*v**2 + 2*v - j*v - 2*v - 3 = 0. -1, 1, 2 Suppose 3 + 2 = -5*r, 4*x + 4*r = 8. Factor -4*k + 59*k**x - 3*k**2 + 11*k**2 - 63*k**3. -4*k*(k - 1)**2 Factor 0*r**3 - 2*r**2 + 65*r - 50 - 5*r**2 - 7*r**3 - 3*r**2 + 2*r**3. -5*(r - 2)*(r - 1)*(r + 5) Let c be 4*(1*3)/(-1 - -4). Factor 3*d**2 - 3*d - c*d**2 - 4 - d + 8*d. -(d - 2)**2 Suppose -3*v + 10 = -29. Factor -20*g**3 + v - 3*g**5 - 22*g**3 - 27*g - 18*g**4 - 48*g**2 - 19. -3*(g + 1)**4*(g + 2) Let m(v) = v - 24. Let j be m(11). Let n be j/(-3) + (-9 - -5). Let w**2 + 4/3 - 2/3*w**3 - n*w**4 + 8/3*w = 0. Calculate w. -2, -1, 2 Solve 0*u - 3*u**4 + 0 - 9/2*u**3 - 2*u**2 - 1/2*u**5 = 0. -4, -1, 0 Suppose -10*h**2 - 72 - 34*h - 3*h**3 + 2*h**3 - 3*h**3 + 2*h**3 + 98*h = 0. What is h? -9, 2 Let c(n) be the second derivative of -n**4/6 - 65*n**3/3 - 64*n**2 - 7*n + 13. Determine k so that c(k) = 0. -64, -1 Let w(v) be the second derivative of v**7/14 - 6*v**6/5 - 21*v**5/10 + 3*v**4 + 13*v**3/2 - 186*v - 2. Solve w(l) = 0. -1, 0, 1, 13 Let b be 11/(22/10) + 3. Let q(g) be the first derivative of -8/3*g**3 + 3*g**4 - 5 - b*g - 14*g**2. Factor q(t). 4*(t - 2)*(t + 1)*(3*t + 1) Let q be -4 + 342/(-24) + (-1)/(-4). Let v(g) = g**3 + 18*g**2 - g - 14. Let m be v(q). Factor w + 2/3*w**2 - 1/3*w**5 - 2/3*w**3 - w**m + 1/3. -(w - 1)*(w + 1)**4/3 Let s(k) be the first derivative of 5*k**4/12 + 80*k**3/9 + 75*k**2/2 - 270*k + 18. Determine n, given that s(n) = 0. -9, 2 Let q(r) = 14*r**2 + 7*r - 7. Let y be q(1). Suppose -15*m - y + 44 = 0. Factor 0*v + 0 + 2/11*v**m. 2*v**2/11 Let d(k) be the second derivative of -25*k**7/42 + 7*k**6/3 - 3*k**5/2 - 20*k**4/3 + 95*k**3/6 - 15*k**2 + 36*k. Factor d(t). -5*(t - 1)**4*(5*t + 6) Suppose 23 + 16 = 4*f + 5*m, 3*f - 24 = -2*m. Suppose f*d = 9 + 3. Factor -5 + 5*q + 7*q + 4*q - 4*q**d - 11. -4*(q - 2)**2 Let i(f) = -f**2 - 36*f + 42. Let z be i(-37). Let s(x) be the second derivative of 0 - 3/110*x**z + 2/33*x**3 + 0*x**2 + 2*x - 1/66*x**4. Factor s(r). -2*r*(r + 1)*(3*r - 2)/11 Let i(z) be the second derivative of -3*z**5/160 + 9*z**4/32 - 15*z**3/16 + 21*z**2/16 + z + 142. Solve i(d) = 0. 1, 7 Suppose 5*j + 30*m = 28*m - 2, 1 = 3*j - m. Factor 0 + 0*q**2 + j*q - 2/9*q**4 - 16/9*q**3. -2*q**3*(q + 8)/9 Let p be (5/140)/(0 - 3/(-2)). Let h = 5/14 - p. Factor 2/3*c + h*c**3 + 0 + c**2. c*(c + 1)*(c + 2)/3 Let v(c) be the second derivative of 2*c**7/21 + 8*c**6/15 - 27*c**5/5 + 38*c**4/3 - 32*c**3/3 - 135*c + 2. Determine u, given that v(u) = 0. -8, 0, 1, 2 Let y(k) = -2*k**2 - 8*k + 3. Let s(t) = 20*t**2 + 72*t - 28. Let v(q) = -3*s(q) - 28*y(q). Factor v(b). -4*b*(b - 2) Suppose 14*l + 1389 = 1473. Let y(g) be the first derivative of 0*g - 3/10*g**4 - 2/15*g**l + 0*g**2 + 4 + 9/25*g**5 + 1/15*g**3. Let y(r) = 0. Calculate r. 0, 1/4, 1 Let s(n) be the third derivative of n**5/540 - n**4/27 - n**3/6 - 150*n**2. Let s(q) = 0. Calculate q. -1, 9 Suppose 0*c = -c - 6. Let k be 66/24 - c/(-8). Let 2 + 2 + y**k + y - 6*y = 0. What is y? 1, 4 Factor -24/11 + 14/11*t - 2/11*t**2. -2*(t - 4)*(t - 3)/11 Let k = -747 + 8965/12. Let p(j) be the second derivative of -1/10*j**5 + 0 - k*j**4 + 7*j + 1/60*j**6 + 9/4*j**2 + j**3. Find m such that p(m) = 0. -1, 3 Let v be (3*(-16)/(-414))/((-70)/(-183)). Let f = -2/115 + v. Factor -f*t**2 + 2/7 + 0*t. -2*(t - 1)*(t + 1)/7 Let f(z) = 3*z**4 - z**3 - 7*z**2 + z + 4. Let p(y) = 3 - 21*y**2 + 12*y**2 + 3*y**2 + 3*y**4 + 0. Let l(k) = 6*f(k) - 5*p(k). Determine g, given that l(g) = 0. -1, 1, 3 Let n be ((-7)/((-35)/78))/(6/20). Let p = n + -49. Determine s so that -p*s - 1/2 - 9/2*s**2 = 0. -1/3 Let s = 663 - 658. Let b(r) be the third derivative of 0*r**3 + 1/24*r**4 + 0*r**s - 2*r**2 + 0 - 1/120*r**6 + 0*r. Determine h, given that b(h) = 0. -1, 0, 1 Let k(u) = u**3 - 6*u**2 - 17*u + 10. Let m be k(8). Let p(j) be the first derivative of 0*j + 3/2*j**4 + 0*j**m + 3/5*j**5 + j**3 + 4. Factor p(q). 3*q**2*(q + 1)**2 Let z(g) be the third derivative of g**5/60 + 11*g**4/3 + 968*g**3/3 - 29*g**2 + 3. Determine x so that z(x) = 0. -44 Let t(o) be the second derivative of o**7/1050 + o**6/90 + 7*o**5/150 + o**4/10 + 2*o**3/3 - 5*o. Let s(h) be the second derivative of t(h). Factor s(l). 4*(l + 1)**2*(l + 3)/5 Factor 4*b**3 - 4/3*b**4 + 0 + 40/3*b**2 + 0*b. -4*b**2*(b - 5)*(b + 2)/3 Let w(g) be the third derivative of -1/180*g**5 + 0*g - 32/9*g**3 + 0 - 14*g**2 - 2/9*g**4. Solve w(i) = 0 for i. -8 Let a(s) be the third derivative of -1/20*s**6 + 0 + 0*s - 1/20*s**5 - 36*s**2 + 0*s**3 - 1/70*s**7 + 0*s**4. Solve a(v) = 0 for v. -1, 0 Let w(j) = 6*j**4 - 12*j**3 - 30*j**2 + 58*j + 68. Let f(y) = -13*y**4 + 24*y**3 + 61*y**2 - 115*y - 134. Let o(c) = 2*f(c) + 5*w(c). Factor o(v). 4*(v - 3)**2*(v + 1)*(v + 2) Let o(t) be the third derivative of -t**8/5040 + t**6/1080 - 11*t**3/6 - t**2. Let q(z) be the first derivative of o(z). What is v in q(v) = 0? -1, 0, 1 Factor 3*n - 5*n - 2*n - 13*n**2 + 11*n**2. -2*n*(n + 2) Let b(y) be the third derivative of 0 + 0*y + 0*y**3 - 1/140*y**5 + 1/490*y**7 + 5*y**2 + 0*y**4 - 1/784*y**8 + 1/280*y**6. Factor b(a). -3*a**2*(a - 1)**2*(a + 1)/7 Let j(k) be the second derivative of -40*k + 0*k**2 + 3/16*k**5 + 1/8*k**3 + 0 - 3/8*k**4. Determine u, given that j(u) = 0. 0, 1/5, 1 Let v(k) be the third derivative of 1/140*k**5 + 9*k**2 + 0*k - 1/7*k**3 + 0 + 1/56*k**4. Determine n so that v(n) = 0. -2, 1 Factor 6/25*c - 4/25 - 2/25*c**2. -2*(c - 2)*(c - 1)/25 Let n = 1443 + -1441. Factor -8*i**3 + 0 - 12/7*i**n + 8/7*i. -4*i*(2*i + 1)*(7*i - 2)/7 Let o be -3 + -4 + 1 - 10. Let h be (-38)/(-12) - o/(-96). Factor 2/7*r**2 + 0 + 0*r - 2/7*r**h. -2*r**2*(r - 1)/7 Let k(s) = -4*s**2 + 2*s + 3. Let l(u) = -3*u**2 + 2*u + 2. Suppose 6*h - 21 = 15. Let j(v) = h*l(v) - 4*k(v). Let j(t) = 0. Calculate t. 0, 2 Let f(c) = -20 - 8*c**3 + 2 + 78*c**2 - 11*c**3 - 37*c. Let q be (((-54)/(-24))/3)/((-12)/(-16)). Let m(o) = o**3 + o. Let y(l) = q*f(l) - 2*m(l). Factor y(g). -3*(g - 3)*(g - 1)*(7*g + 2) Solve -12/7*a**2 + 2/7*a**3 - 16/7 + 24/7*a = 0. 2 Let k(u) be the second derivative of 0 - 16*u + 1/12*u**4 + 0*u**2 + 1/6*u**3. Let k(w) = 0. What is w? -1, 0 Factor 3*n**3 + 2*n**3 + 5*n**3 - 15*n**2 - 3*n**3 + 0*n**3 + 13*n - n**4 - 4. -(n - 4)*(n - 1)**3 Let x(u) = -43*u**2 - 120*u + 1568. Let i(b) = -30*b**2 - 80*b + 1045. Let c(g) = 7*i(g) - 5*x(g). Factor c(o). 5*(o - 7)*(o + 15) Let w(r) be the second derivative of 7*r**5/80 + 23*r**4/48 + r**3/4 - 77*r. Factor w(k). k*(k + 3)*(7*k + 2)/4 Let f(z) be the second derivative of z**7/1260 - z**5/60 - z**4/18 + 10*z**3/3 - 12*z. Let q(d) be the second derivative of f(d). Factor q(w). 2*(w - 2)*(w + 1)**2/3 Let w = -13 + 5. Let s(f) = f**2 + 8*f + 12. Let n be s(w). Solve -4*k**4 - 9*k**4 + n*k**4 = 0. 0 Let d = 11 + -9. Suppose -u - s = 0, 5*u = u + d*s. Factor 2/11*t**5 + u - 4/11*t**4 + 0*t**3 + 0*t**2 + 0*t. 2*t**4*(t - 2)/11 Let z(c) = -2*c**3 + c**2 - c - 1. Let s(t) = 33*t**3 + 57*t**2 - 543*t + 1107. Let m(y) = -s(y) - 18*z(y). Factor m(f). 3*(f - 11)**2*(f - 3) Let k(l) = l**3 + 15*l**2 + 9*l - 4. Let s be k(-14). Let n be ((-2)/16)/((-11)/s). Factor n*i**2 - 3/4*i - 3/2. 3*(i - 2)*(i + 1)/4 Let z(v) be the first derivative of -2*v**3/15 - 9*v**2/5 - 16*v/5 + 52. Factor z(k). -2*(k + 1)*(k + 8)/5 Let j(p) be the second derivative of 0 + 0*p**3 - 28*p + 1/10*p**6 - 3/4*p**4 - 3/10*p**5 + 0*p**2. Factor j(g). 3*g**2*(g - 3)*(g + 1) Let y(t) = -t**3 + 8*t**2 - t + 12. Let x be y(8). Determine p, given that 50 + 5*p**x + 58*p + 102*p + 40*p**3 + 38 + 120*p**2 - 8 = 0. -2 Let q(d) be the first derivative of 2*d**3/15 + 7*d**2/5 - 16*d/5 + 20. Find r such that q(r) = 0. -8, 1 Let d = -204 - -95. Let c = 112 + d. Factor 2/3*i**4 + 0*i + 4/3*i**c + 0 + 0*i**2. 2*i**3*(i + 2)/3 Let r(v) be the third derivative of v**6/90 + v**5/30 - v**4/3 + 7*v**3/6 + 4*v**2. Let w(p) be the first derivative of r(p). Factor w(m). 4*(m - 1)*(m + 2) Solve -28/3*z - 8 - 8/3*z**2 = 0. -2, -3/2 Let z(l) be the first derivative of -l**4/66 + l**3/33 - 4*l + 17. Let u(f) be the first derivative of z(f). Factor u(y). -2*y*(y - 1)/11 Let v(m) be t
{ "pile_set_name": "DM Mathematics" }
he lowest common multiple of 23920 and 5720. 263120 What is the smallest common multiple of 438438 and 79716? 876876 What is the least common multiple of 7860 and 120? 15720 Find the common denominator of 83/147864 and 11/12. 147864 Find the common denominator of 79/40 and 25/1467648. 7338240 What is the least common multiple of 328 and 26035? 208280 What is the least common multiple of 21510 and 982? 10561410 Find the common denominator of 67/135 and 11/17440. 470880 Calculate the least common multiple of 67256 and 403536. 403536 What is the least common multiple of 1087 and 11957? 11957 Calculate the least common multiple of 225664 and 1419. 7446912 What is the smallest common multiple of 52 and 7650? 198900 Calculate the least common multiple of 11495 and 285076. 1425380 Calculate the least common multiple of 65254 and 1106. 65254 What is the lowest common multiple of 102 and 7973? 47838 Find the common denominator of -41/36 and -73/5580. 5580 What is the smallest common multiple of 2457 and 50596? 1366092 What is the smallest common multiple of 16219 and 581? 1346177 What is the common denominator of -68/31563 and 113/70? 315630 Calculate the lowest common multiple of 10 and 24656. 123280 What is the common denominator of 101/13566 and 79/12138? 230622 Calculate the smallest common multiple of 35976 and 3. 35976 Calculate the common denominator of -187/40020 and -25/10764. 1560780 What is the least common multiple of 76032 and 276? 1748736 Calculate the common denominator of 97/7680 and -39/116. 222720 Find the common denominator of 63/38 and -49/2619. 99522 What is the smallest common multiple of 228 and 31369? 376428 Calculate the lowest common multiple of 4 and 7665. 30660 What is the common denominator of -73/48 and 53/39600? 39600 Calculate the least common multiple of 3192 and 59052. 118104 Calculate the common denominator of -77/8 and 29/31392. 31392 Find the common denominator of 109/792302 and -143/6. 2376906 Find the common denominator of -37/10 and -121/4060. 4060 Calculate the common denominator of -74/147 and 115/252. 1764 Calculate the common denominator of -55/894 and -133/9834. 9834 Calculate the common denominator of 21/113768 and -11/227536. 227536 Calculate the least common multiple of 4484 and 13334. 506692 What is the common denominator of 113/7030 and 19/658230? 12506370 What is the common denominator of 47/995 and -109/220? 43780 Calculate the common denominator of -43/27370 and -59/61180. 1040060 Calculate the common denominator of 71/17550 and 151/287820. 1439100 What is the smallest common multiple of 6080 and 5776? 115520 Calculate the common denominator of 29/406740 and 79/108464. 1626960 Calculate the common denominator of 83/54 and 23/45. 270 What is the smallest common multiple of 320112 and 53352? 320112 Calculate the common denominator of -41/4037 and 31/4. 16148 Calculate the smallest common multiple of 1175 and 3250. 152750 Calculate the smallest common multiple of 9000 and 336. 126000 What is the common denominator of -41/13650 and 121/900? 81900 What is the smallest common multiple of 380984 and 8? 380984 What is the least common multiple of 582 and 744? 72168 Calculate the common denominator of -49/269733 and -145/11478. 539466 Find the common denominator of -39/88 and -2/758285. 6066280 Find the common denominator of -43/25409 and -93/4. 101636 What is the common denominator of 101/60 and 31/17940? 17940 Calculate the common denominator of 73/10218 and 71/34060. 102180 Calculate the common denominator of -49/38 and 22/281. 10678 What is the smallest common multiple of 14 and 1806278? 12643946 What is the common denominator of 7/26664 and -97/693264? 693264 What is the common denominator of 89/2184 and 79/1898? 159432 Calculate the lowest common multiple of 43340 and 2970. 1170180 What is the lowest common multiple of 306 and 14? 2142 Find the common denominator of 1/2 and -47/70452. 70452 What is the lowest common multiple of 10 and 71890? 71890 What is the smallest common multiple of 3118 and 40? 62360 Calculate the common denominator of -41/16 and 95/2910058. 23280464 Find the common denominator of -33/12460 and 57/3710. 660380 What is the least common multiple of 28 and 12152? 12152 Find the common denominator of 127/240 and 53/300. 1200 Find the common denominator of 111/44710 and 46/289. 760070 Calculate the smallest common multiple of 14 and 556. 3892 Calculate the common denominator of -107/40 and 13/6568. 32840 Find the common denominator of -109/2618 and -157/1722. 322014 What is the common denominator of 89/17464 and 43/8732? 17464 Find the common denominator of -47/50 and 163/3630. 18150 Calculate the smallest common multiple of 21828 and 135. 982260 Calculate the lowest common multiple of 2181 and 13086. 13086 Calculate the common denominator of -77/102 and 77/1734. 1734 Calculate the common denominator of 95/52 and 19/1208168. 1208168 What is the lowest common multiple of 2494 and 14? 17458 What is the lowest common multiple of 3038 and 980? 30380 Calculate the common denominator of -29/404 and 12/181. 73124 Find the common denominator of 11/10284 and -87/2. 10284 Find the common denominator of -47/162 and 97/7204. 583524 What is the lowest common multiple of 2960100 and 2960100? 2960100 Calculate the common denominator of -23/203 and -1/1856. 12992 Calculate the lowest common multiple of 858 and 642954. 7072494 Calculate the lowest common multiple of 5320 and 5320. 5320 What is the lowest common multiple of 69352 and 138704? 138704 What is the common denominator of 35/907 and -11/1310? 1188170 Calculate the lowest common multiple of 15960 and 378. 143640 Calculate the common denominator of 28/2005 and -57/365. 146365 What is the lowest common multiple of 26908 and 104? 699608 Calculate the smallest common multiple of 10314 and 182. 938574 Calculate the common denominator of -5/7942 and 119/4180. 79420 What is the least common multiple of 1302 and 600? 130200 Calculate the least common multiple of 20191 and 17212. 1049932 What is the lowest common multiple of 11312 and 14? 11312 What is the smallest common multiple of 1 and 585550? 585550 Find the common denominator of 1/33204 and 131/398448. 398448 What is the smallest common multiple of 174 and 14022? 406638 What is the smallest common multiple of 7800 and 23400? 23400 What is the smallest common multiple of 848196 and 90? 4240980 What is the common denominator of -48/14335 and -13/2440? 114680 Calculate the smallest common multiple of 4501 and 77160. 540120 Find the common denominator of 59/125520 and -145/72. 376560 What is the common denominator of 89/5508 and 61/27540? 27540 What is the smallest common multiple of 1300 and 76200? 990600 What is the common denominator of 67/1625 and -1/550? 35750 What is the least common multiple of 37646 and 59158? 414106 Calculate the smallest common multiple of 737 and 1870. 125290 Calculate the least common multiple of 3339 and 54. 20034 What is the common denominator of 22/1611 and 62/55143? 9870597 Calculate the common denominator of 35/27072 and 137/40608. 81216 Calculate the lowest common multiple of 624 and 4758. 38064 Calculate the smallest common multiple of 20 and 6572. 32860 What is the common denominator of 27/1837 and 16/14529? 159819 Calculate the lowest common multiple of 2464 and 5456. 76384 What is the common denominator of -137/54 and 71/12306? 110754 Calculate the smallest common multiple of 6266 and 3536. 852176 Calculate the least common multiple of 1692 and 72756. 72756 Calculate the common denominator of 59/1260 and -31/10500. 31500 Calculate the lowest common multiple of 30 and 4230. 4230 Calculate the common denominator of 39/1897 and -117/21680. 151760 What is the lowest common multiple of 37376 and 20480? 1495040 Find the common denominator of 37/474290 and -169/180. 8537220 Calculate the common denominator of -103/18 and -44/7521. 45126 Calculate the common denominator of 87/2642 and -19/744. 982824 Calculate the least common multiple of 764 and 1130. 431660 Find the common denominator of -19/56 and 6/110579. 884632 Calculate the lowest common multiple of 9 and 3193. 28737 Calculate the common denominator of 107/14184 and 95/6304. 56736 What is the smallest common m
{ "pile_set_name": "DM Mathematics" }
hat is next in -744837, -744833, -744829, -744825, -744821, -744817? -744813 What comes next: -34377, -34788, -35195, -35598, -35997? -36392 What comes next: -373548, -375087, -376624, -378159, -379692? -381223 What comes next: 1504, 4303, 8396, 13783, 20464? 28439 What comes next: 570351, 570621, 570891, 571161, 571431? 571701 What is the next term in 223, 122, -295, -1136, -2509, -4522, -7283, -10900? -15481 What comes next: 2652, 8857, 19204, 33699, 52348, 75157, 102132? 133279 What is next in -18220, -16115, -12608, -7699? -1388 What is next in 30, -28, -518, -1656, -3658, -6740, -11118, -17008? -24626 What comes next: 263098, 526198, 789298, 1052398? 1315498 What is the next term in -5793, -5784, -5761, -5718, -5649, -5548? -5409 What comes next: 42282, 338528, 1142598, 2708406, 5289866? 9140892 What comes next: 1460, 1419, 1364, 1307, 1260, 1235, 1244, 1299? 1412 What is next in 1319737, 1319719, 1319701, 1319683, 1319665? 1319647 What is the next term in -3361, -13725, -31047, -55363, -86709, -125121? -170635 What is next in -318811, -317630, -316449? -315268 What is next in -4083, 11597, 54167, 137073, 273761, 477677? 762267 What is next in 11829, 25577, 41271, 58905, 78473, 99969, 123387, 148721? 175965 What is next in 9072, 10494, 11914, 13332, 14748, 16162, 17574? 18984 What is the next term in 1049734223, 1049734225, 1049734227, 1049734229? 1049734231 What is the next term in 3515, 6982, 10401, 13772? 17095 What is the next term in 246014, 245739, 245464? 245189 What comes next: 5023100, 5023087, 5023074, 5023061, 5023048? 5023035 What is next in -317950, -317934, -317892, -317812, -317682? -317490 What is the next term in -83609, -83575, -83491, -83333, -83077, -82699, -82175? -81481 What comes next: 4204, 3996, 3798, 3604, 3408, 3204, 2986? 2748 What is next in -10046, -20604, -31162, -41720, -52278, -62836? -73394 What is next in -2760402, -5520800, -8281198, -11041596, -13801994, -16562392? -19322790 What is the next term in -113949868, -113949867, -113949866, -113949865? -113949864 What is next in 6805001, 27220031, 61245081, 108880151? 170125241 What comes next: -195410, -390600, -585790, -780980, -976170, -1171360? -1366550 What is the next term in -2690896, -5381952, -8073012, -10764076? -13455144 What is next in -502845, -1005560, -1508277, -2010996, -2513717, -3016440? -3519165 What is the next term in 2403, 2253, 2107, 1965, 1827, 1693, 1563? 1437 What is the next term in -2558135, -2558144, -2558157, -2558174, -2558195, -2558220, -2558249? -2558282 What is the next term in 183545045, 183545046, 183545047, 183545048, 183545049, 183545050? 183545051 What is next in 6204079, 6204100, 6204123, 6204148, 6204175, 6204204? 6204235 What is the next term in -235891, -472303, -708715? -945127 What is next in -1355, -1124, -781, -326, 241, 920? 1711 What is next in -1121651, -1121707, -1121801, -1121933, -1122103, -1122311? -1122557 What is the next term in -227, -297, -341, -359? -351 What is next in 3778319, 3778318, 3778317, 3778316, 3778315, 3778314? 3778313 What is next in -20348, -40719, -61170, -81731, -102432, -123303, -144374, -165675? -187236 What is the next term in 5558710, 11117424, 16676144, 22234876, 27793626, 33352400, 38911204? 44470044 What is next in 1309, -837, -6671, -18041, -36795? -64781 What is the next term in 4653361, 9306749, 13960137, 18613525? 23266913 What is the next term in -128123889, -128123893, -128123901, -128123913, -128123929, -128123949? -128123973 What is next in -108861, -217564, -326271, -434982, -543697? -652416 What is the next term in -24407838, -24407852, -24407866, -24407880, -24407894, -24407908? -24407922 What is next in 233862, 467735, 701616, 935511, 1169426, 1403367, 1637340? 1871351 What is next in -15411, -30625, -45921, -61341, -76927, -92721, -108765, -125101? -141771 What comes next: -3551, -6889, -9817, -12131, -13627, -14101? -13349 What is the next term in -87461, -699671, -2361377, -5597327, -10932269, -18890951? -29998121 What is next in 487, 912, 1561, 2434, 3531, 4852? 6397 What comes next: 5955, 11821, 17695, 23577, 29467, 35365? 41271 What is the next term in -86, 2053, 8716, 22165, 44662? 78469 What comes next: -191723, -766893, -1725505, -3067553, -4793031, -6901933, -9394253? -12269985 What comes next: 1571922, 1571911, 1571900, 1571889, 1571878? 1571867 What is next in 549306, 1098633, 1647950, 2197257? 2746554 What is next in 5664997, 11330008, 16995019, 22660030, 28325041, 33990052? 39655063 What comes next: -6621766, -13243539, -19865312, -26487085, -33108858, -39730631? -46352404 What is the next term in 1824, 1664, 1352, 852, 128, -856, -2136? -3748 What is the next term in -14665, -14313, -13737, -12937, -11913, -10665? -9193 What is next in -4396596, -8793156, -13189716? -17586276 What is next in 184609, 184624, 184639, 184654? 184669 What is next in -3286248, -3286246, -3286244? -3286242 What is next in -9564, -8683, -6278, -1587, 6152? 17701 What comes next: -59412145, -59412147, -59412149, -59412151, -59412153? -59412155 What is next in 11088, 11543, 12784, 15207, 19208, 25183, 33528? 44639 What comes next: 85089, 82650, 80211? 77772 What is the next term in 160989413, 160989422, 160989431, 160989440, 160989449, 160989458? 160989467 What comes next: 15183, 13995, 11989, 9165, 5523, 1063? -4215 What is the next term in 97464, 95798, 94134, 92472? 90812 What comes next: -823446, -1646874, -2470284, -3293676, -4117050? -4940406 What is next in -31994, -30165, -28336, -26507, -24678, -22849? -21020 What is the next term in -2892, -2881, -2892, -2925, -2980? -3057 What is next in 729027, 2916220, 6561541, 11664990, 18226567? 26246272 What comes next: 22612, 25032, 27452? 29872 What is the next term in 1380, 8187, 14992, 21795, 28596, 35395, 42192? 48987 What is the next term in 5461, 10837, 16141, 21379, 26557, 31681, 36757, 41791? 46789 What comes next: 44, 155, 326, 545, 800? 1079 What comes next: -10374, -16040, -21706? -27372 What comes next: 4232, 16913, 38090, 67769, 105956, 152657, 207878? 271625 What is the next term in -208, -963, -2142, -3745? -5772 What is the next term in -26084, -51057, -76034, -101015, -126000? -150989 What comes next: -1364572517, -1364572518, -1364572519, -1364572520, -1364572521? -1364572522 What comes next: 2343612356, 2343612358, 2343612360? 2343612362 What comes next: -2191488, -2191486, -2191484, -2191482, -2191480? -2191478 What is next in -2858, -2762, -2666, -2570, -2474? -2378 What comes next: 1504138, 3008274, 4512410, 6016546, 7520682, 9024818? 10528954 What is the next term in -2204595, -4408913, -6613233, -8817555, -11021879, -13226205, -15430533? -17634863 What comes next: 255582, 255425, 255248, 255051, 254834? 254597 What is the next term in 16640, 32446, 47392, 61478? 74704 What is next in -10843, -7031, -3217, 599, 4417, 8237, 12059? 15883 What comes next: -12397, -7780, -3163, 1454, 6071, 10688? 15305 What is next in -30377, -30990, -31603, -32216, -32829, -33442? -34055 What comes next: -1459, -12029, -40863, -97093, -189851, -328269, -521479, -778613? -1108803 What comes next: 145553, 291141, 436727, 582311, 727893, 873473? 1019051 What comes next: 22861, 22538, 22001, 21250? 20285 What is the next term in 1521, 1483, 1301, 927, 313, -589, -1827? -3449 What is the next term in 207557, 207632, 207839, 208244, 208913, 209912, 211307, 213164? 215549 What is next in 605, 2835, 7093, 13775, 23277, 35995, 52325, 72663? 97405 What is next in -207330, -207341, -207358, -207381, -207410? -207445 What comes next: -26867282, -26867281, -26867280, -26867279, -26867278? -26867277 What is next in 89765, 179611, 269465, 359327, 449197, 539075? 628961 What is next in 1300656, 1300512, 1300266, 1299912, 1299444, 1298856? 1298142 What is next in 6294, 6909, 7930, 9357, 11190, 13429? 16074 What is the next term in -236, -2360, -8068, -19154, -37412? -64636 What is next in 2998, 2536, 1758, 658, -770, -2532, -4634? -7082 What comes next: -1554932, -1554832, -1554732, -1554632? -1554532 What comes next: -85484, -683976, -2308530, -5472200, -10688040, -18469104, -29328446, -43779120? -62334180 What is the next term in -1231248, -1231215, -1231182, -1231149? -1231116 What is the next term in 710, 2708, 8030, 18338, 35294,
{ "pile_set_name": "DM Mathematics" }
*6/144 + p**4/3 + 2*p. Let t(u) be the third derivative of l(u). What is c(t(w))? 25*w**2 Let p(l) = -50*l**2 + 2*l + 2. Let x(d) = 49*d**2 - 3*d - 3. Let j(o) = 6*p(o) + 4*x(o). Let m(h) = -h. Give m(j(n)). 104*n**2 Let n(m) = -245*m**2 + 4*m. Let z(b) = 2*b. Give n(z(c)). -980*c**2 + 8*c Let i(a) = -12*a + 11. Let g(x) = x - 1. Let j(m) = 44*g(m) + 4*i(m). Let c(w) = 10*w - 19*w + 8*w. Give j(c(k)). 4*k Let y(w) be the first derivative of w**2/2 - 2. Let v(k) = 13*k**2 + 2*k + 2. Let a(o) = -27*o**2 - 5*o - 5. Let r(p) = 2*a(p) + 5*v(p). What is r(y(z))? 11*z**2 Let c(t) be the third derivative of t**5/12 - 59*t**2. Let d(i) be the first derivative of 2 + 0*i + 2/3*i**3 + 0*i**2. Give c(d(m)). 20*m**4 Let t(d) be the first derivative of d**3/3 - 3. Let n(h) = -64*h - 32. Let z(m) = 13*m + 6. Let p(k) = -3*n(k) - 16*z(k). Give t(p(j)). 256*j**2 Let b(v) = -3*v. Let f(a) be the second derivative of -a**3/3 - 39*a. What is f(b(q))? 6*q Let u(r) = r**2. Let m(i) = -22*i**2 - 10*i - 2. Calculate m(u(x)). -22*x**4 - 10*x**2 - 2 Let o(v) be the first derivative of v**4/4 - v - 1. Let r(h) be the first derivative of o(h). Let y(q) = -22 + 10 + 12 + 2*q. Calculate y(r(z)). 6*z**2 Let j(z) be the third derivative of z**6/360 + z**4/12 + 3*z**2. Let u(q) be the second derivative of j(q). Let r(m) = -5*m. Calculate r(u(v)). -10*v Let f(r) = 11*r. Let p(q) = -30*q. Calculate f(p(v)). -330*v Let o(i) be the first derivative of 0*i + 3 - 2/3*i**3 + 0*i**2. Let l(u) = 0*u**2 - u**2 + 0*u**2. Determine l(o(z)). -4*z**4 Let u(l) = -35*l**2. Let n(q) = -2*q - 3. Let g(t) = -3*t - 5. Let i(f) = 3*g(f) - 5*n(f). Give u(i(b)). -35*b**2 Let a(w) = 69*w**2. Let c(n) = -11*n. What is a(c(v))? 8349*v**2 Let k(t) = -2*t. Let f(l) = -l. Let w(d) = -6*f(d) + 2*k(d). Let v(b) be the second derivative of b**4/12 - 2*b. Calculate w(v(y)). 2*y**2 Let d(i) = -2*i**2. Let j(v) = -1921*v. Let x(u) = -20*u. Let c(w) = 6*j(w) - 578*x(w). Give d(c(o)). -2312*o**2 Let w(x) = 527*x. Let l(y) = 2*y. What is w(l(i))? 1054*i Let v(k) = -7*k. Let g(u) = 6*u - 7. Give v(g(n)). -42*n + 49 Let w(s) = 35*s**2 - 2. Let q(h) = -3*h**2 - 2*h + 2. Let x(n) = -n**2 - n + 1. Let v(t) = 2*q(t) - 4*x(t). What is w(v(z))? 140*z**4 - 2 Let x(f) = f. Let a(m) = -115*m**2. Determine x(a(n)). -115*n**2 Let b(m) = -2*m**2. Let t(y) = -7*y. Let u(g) = g - 1. Let l(r) = -6*r + 5. Let c(s) = -4*l(s) - 20*u(s). Let x(j) = -6*c(j) - 4*t(j). Calculate b(x(n)). -32*n**2 Let b(d) be the first derivative of -13*d**2/2 + 10. Let m(x) = x**2. Calculate b(m(g)). -13*g**2 Let d(u) = 2*u + 4. Let h(w) = 5*w + 11. Let v(l) = 11*d(l) - 4*h(l). Let s(b) = 3*b. Give s(v(t)). 6*t Let g(x) = x**2. Let m(o) = -o + 492. Give g(m(i)). i**2 - 984*i + 242064 Suppose 4*y + 269 = 3*r, 0 = -3*y + 3*r - 0*r - 201. Let m(z) = 7*z**2. Let q(x) = -78*x**2. Let a(f) = y*m(f) - 6*q(f). Let j(d) = 2*d. Give a(j(o)). -32*o**2 Let w(x) = -6*x. Let i(k) = k**2 - 11*k - 11. Let z(g) = -4*g - 4. Let q(s) = -4*i(s) + 11*z(s). Determine q(w(t)). -144*t**2 Let g(v) = -166*v - 2. Let q(u) = u**2. Give g(q(d)). -166*d**2 - 2 Let n(j) = 8*j**2 - 3. Let i(g) = -5*g. Give i(n(h)). -40*h**2 + 15 Let s(l) = -229*l. Let x(p) = 23*p. Give x(s(a)). -5267*a Let x(t) = t**2. Let m(a) be the third derivative of -5*a**4/24 + 8*a**2. What is x(m(d))? 25*d**2 Let h = 697/12 - 58. Let x(w) be the second derivative of -h*w**4 + 2*w + 0*w**2 + 0 + 0*w**3. Let m(z) = 3*z**2. What is x(m(o))? -9*o**4 Let m(i) be the second derivative of -i**4/2 - 3*i**2/2 + i. Let q(y) be the first derivative of m(y). Let n(f) = -2*f. What is n(q(x))? 24*x Let z(j) = -j - 1. Let m(h) = 8*h + 7. Let q be (-3)/(-9) + (-26)/(-3). Let c = q - 23. Let k(o) = c*z(o) - 2*m(o). Let a(l) = -l. Determine k(a(s)). 2*s Let z(m) = -5*m**2 - 943. Let l(g) = g. What is l(z(k))? -5*k**2 - 943 Let v(g) be the third derivative of -g**8/10080 + g**5/60 - 2*g**2. Let n(c) be the third derivative of v(c). Let d(k) = k**2. Give d(n(u)). 4*u**4 Let c(u) = -u**2 + 0*u**2 - 18*u + 18*u. Let a be 1 - (-2 - -2 - 1). Let m(b) = -5*b**2 + a*b**2 + b**2. Give m(c(j)). -2*j**4 Let o(w) = w**2 - 3*w. Let l(i) = -i**2 - i. Let z(h) = 3*l(h) - o(h). Let p(s) = 0*s - 2*s + s. What is z(p(g))? -4*g**2 Let i(m) = m - 4*m + 4*m. Let q(j) be the third derivative of -j**5/60 + 12*j**2. Give q(i(z)). -z**2 Let q(v) = 2*v. Let i(r) = -7*r**2 + 3. Let s(h) = -8*h**2 + 4. Let u(k) = 8*i(k) - 6*s(k). Determine q(u(w)). -16*w**2 Let w(d) = 109*d**2. Let k(l) = -7*l + 2. Determine w(k(m)). 5341*m**2 - 3052*m + 436 Let k(c) = -3*c - 5. Let d(g) = 14*g**2. Calculate k(d(y)). -42*y**2 - 5 Let z(s) = -2*s**2. Let a(h) = 18*h**2 + 5. Let n(q) = -19*q**2 - 6. Let d(k) = 6*a(k) + 5*n(k). Determine d(z(c)). 52*c**4 Let h(d) be the first derivative of 2*d**3/3 - 4. Let q(c) = c. Give q(h(l)). 2*l**2 Let j(l) be the second derivative of -l**3/3 - 5*l - 2. Let t(x) = 28*x + 1. What is j(t(n))? -56*n - 2 Let g(h) be the third derivative of 0*h**3 + 0 + 0*h - 6*h**2 - 1/12*h**4. Let o(a) = -3*a**2. Calculate g(o(k)). 6*k**2 Let v(h) = 17*h**2. Suppose 4*c - 6 = 5*m - 26, -m = c + 5. Let t(f) = 2*f**2 - 5*f. Let x(a) = -a**2 + 3*a. Let j(y) = c*x(y) - 3*t(y). Calculate v(j(d)). 17*d**4 Let o(c) = 3*c**2. Let s(f) = -8*f + 15. Calculate s(o(w)). -24*w**2 + 15 Let z(u) = -u. Suppose -4*s = -3*g - 6 + 27, -3*g = -3*s - 15. Let n(h) = 2*h. Let j(o) = s*z(o) - 4*n(o). Let f(q) = -4*q**2. Determine f(j(x)). -16*x**2 Let g(i) be the third derivative of -i**5/20 + i**2. Let b(m) be the first derivative of m**2/2 - 3. What is g(b(q))? -3*q**2 Let w(l) be the second derivative of -l**3/6 - l. Let t(g) = -119*g + 35. Let y(k) = -7*k + 2. Let a(v) = -2*t(v) + 35*y(v). Determine a(w(u)). 7*u Suppose -5*g = -7*c + 3*c - 14, -3*c - 3*g - 24 = 0. Let o(y) = -y**2 - 8*y - 1. Let m be o(c). Let f(w) = m*w - 11*w - w**2. Let s(v) = -2*v. Give f(s(d)). -4*d**2 Let m(t) = -t**2. Let s(p) = 2*p + 65. What is m(s(z))? -4*z**2 - 260*z - 4225 Let c(x) = 4*x**2. Let w(r) be the second derivative of r**3/3 - 2*r. Determine w(c(p)). 8*p**2 Let n(x) = 2*x. Suppose 4*q + v + v - 10 = 0, -5*q + 2*v = -26. Let u(i) = 2*i**2 - i - 2. Let h be u(2). Let f(r) = q - 4 + h*r**2. Give f(n(t)). 16*t**2 Let k(q) = -9*q - 2*q + 10*q. Let b(a) = -3*a**2. Give b(k(p)). -3*p**2 Let i(a) = -2*a. Let y(u) = 2*u**2 + 19*u - 2. Give i(y(j)). -4*j**2 - 38*j + 4 Let u(s) be the third derivative of s**8/5040 + s**5/20 - 6*s**2. Let y(h) be the third derivative of u(h). Let p(f) = -f. What is y(p(z))? 4*z**2 Let d(y) = -y**2. Let c(r) be the first derivative of -5*r**2/2 + 6. Calculate d(c(u)). -25*u**2 Let z(o) = -3*o**2. Let f(l) = 79*l**2 - 34*l**2 - 32*l**2. Determine z(f(m)). -507*m**4 Let t(p) = -67*p**2 + p + 24. Let n(a) = 3*a. What is t(n(q))? -603*q**2 + 3*q + 24 Let b(n) be the first derivative of n**3/6 + n + 6. Let d(c) be the first derivative of b(c). Let j(z) = 6*z. Give j(d(u)). 6*u Let r(t) = 2*t. Let u(o) be the third derivative of 11*o**4/8 + 10*o**2. Give u(r(f)). 66*f Let h(g) = -2*g. Let t(s) = 2*s. Let a(b) = -b. Let i(r) = -3*a(r) + t(r). Give h(i(c)). -10*c Let v(n) = 7*n**2 + 4*n**2 - 17*n**2 + 8*n**2. Let g(r) be the third derivative of r**4/24 + r**2. Calculate g(v(h)). 2*h**2 Let o(z) = -z**2. Let p(s) = 9*s**2 + 7*s - 7. Let v(r) = r**2 + 0*r + 2 + r**2 - 5*r**2 - 2*r. Let w(i) = -2*p(i) - 7*v(i). Give w(o(a)). 3*a**4 Let d(r) be the second derivative of -r**4/4 - 97*r. Let q = -4 - -8. Let t(f) = -4*f + 5. Let c(u) = 3*u - 4. Let a(l) = q*t(l) + 5*c(l). Determine d(a(s)). -3*s**2 Let g(m) = m**2 + 3. Let v(o) = -o**2 - 1. Let c(z) = 2*g(z) + 6*v(z). Let k(u) = 3*u + 2. Let y(h) = 13*h + 9. Let r(n) = 9*k(n) - 2*y(n). Give r(c(a)). -4*a**2 Let c be ((-16)/40)/(2/(-10)). Let j(y) = -y**2 + 3*y**2 + y**c. Let i(w) = -27 - w + 27. Determine i(j(k)). -3*k**2 Let g(n) = -2*n. Let q(i) = 3*i - 3. What is q(g(j))? -6*j - 3 Let g(x) = 2*x**2. Let u(n) = 0*n + 8 + 5*n - 8. Determine g(u(b)). 50*b**2 Let m(w) = -w**2. Let a(o) be the second derivative of o**3/2 - 6*o. Give m(a(v)). -9*v**2 Let o(r) = -r**3 - 11*r**2 - 11*r - 6. Let b be o(-10). Let d(p) = -4 + 4 + 0 + b*p**2. Let l(k) = 2*k**2. Calculate d(l(y)). 16*y**4 Let w(s) = -s + 8. Let x be w(6). Let l(y) = -5*
{ "pile_set_name": "DM Mathematics" }
, y + 3 = -3*c + 4*y. What is the remainder when 9 is divided by c? 0 Let q = -25 + 27. Suppose 1 = q*j - 69. What is the remainder when j is divided by 12? 11 Let t = -705 + 728. Let r = 81 + -14. Calculate the remainder when r is divided by t. 21 Let q(c) = -c**2 + 25*c + 154. What is the remainder when q(29) is divided by 10? 8 What is the remainder when (1/4)/(2/504) is divided by 6? 3 Let o be -1*(-4 + 2)/(-2). Calculate the remainder when 21 is divided by (14/(-42))/(o/36). 9 Suppose -4*x - 1 + 33 = 0. Suppose -3*p - 105 = -q, -x*q = -3*q - p - 567. Calculate the remainder when q is divided by 29. 27 Let j(h) = -4*h - 1 + h**3 + 161*h**2 - 32 - 143*h**2. What is the remainder when j(-18) is divided by 15? 9 Let s be 7 + -52 - (-2 - 1). Suppose -11 - 19 = -2*y. What is the remainder when s/(-10) + 17/(-85) - -25 is divided by y? 14 Let s be (-14)/4*(-4 + 6). Suppose 2*n - 26 = 4*p, 0 = 2*p - 0*p. Calculate the remainder when (-6)/(-21) + (-348)/s is divided by n. 11 Suppose 2*f - 4 = 0, 5*f = -w - 0*f + 5. Let p(r) = 4*r**2 + 15*r - 4. Calculate the remainder when 164 is divided by p(w). 17 Suppose 433 + 3547 = 20*l. What is the remainder when l is divided by 51? 46 Let h(i) = 3*i**2 - 29*i - 11. Calculate the remainder when h(-7) is divided by 69. 63 Let w be (0 + -7)/(-1*(1 - 0)). Suppose -w*g + 5*g + 286 = 0. Calculate the remainder when g is divided by 29. 27 Let p(k) = k**3 - 3*k - 6 - 2*k + 3*k**2 - 2*k. Let w be p(-4). Let g(r) = r**2 - 4*r - 1. Calculate the remainder when g(w) is divided by 4. 3 Suppose 11*w + 10 = 6*w, 443 = t - 4*w. Calculate the remainder when t is divided by 19. 17 Let v = 1461 + -827. What is the remainder when v is divided by 49? 46 Let t(k) = k**3 - 4*k**2 - 3*k. Let h be t(5). Let f = h + -8. Suppose 5*c + n = 25, 0 = c + 3*n - f*n - 5. What is the remainder when 9 is divided by c? 4 Let d(n) be the third derivative of n**4/4 + 2*n**3/3 + 4*n**2. Calculate the remainder when d(6) is divided by 7. 5 Suppose -j = -3*g + 4*g - 37, -4*j = -5*g - 193. Calculate the remainder when j is divided by (209/57)/(-1*(-2)/12). 20 Calculate the remainder when 62 is divided by 38/(-4)*((-6)/2 + 1). 5 Let h = 8 + -6. Suppose h - 7 = 5*p. Let v(k) = -13*k + 2. What is the remainder when 29 is divided by v(p)? 14 Let b(f) = 2*f**2 - 158*f + 169. What is the remainder when 2/(-2)*-2 + 19 is divided by b(78)? 8 Suppose 3*a - 103 = 128. Calculate the remainder when a is divided by 36. 5 Let y = -284 - -304. Calculate the remainder when 57 is divided by y. 17 Let s(y) be the third derivative of y**5/60 + y**4/6 - y**3/3 - 6*y**2. What is the remainder when -2 - -9 - (-2 + 2) is divided by s(-5)? 1 Suppose 0 = t + 66 - 126. What is the remainder when t is divided by 26? 8 Suppose 0*d - 136 = -4*d. Calculate the remainder when 65 is divided by d. 31 Suppose -2*x - 3*g + 23 = -29, -3*g = 3*x - 78. Calculate the remainder when 65 is divided by x. 13 Let g(v) = v**2 + v + 4. Suppose -3*w + 87 - 15 = 0. Suppose n = -3*a + 3*n + w, 4*n + 28 = 4*a. What is the remainder when a is divided by g(0)? 2 Let m(y) = y + 3. Suppose 4*p = 2*b + 3*p + 53, 4*p + 74 = -3*b. Let a = b + 45. Calculate the remainder when a is divided by m(4). 5 Let p = -253 + 509. Calculate the remainder when p is divided by 26. 22 Let g be (9/6 + -1)*6. Let b(p) = p - 2*p + g*p. Calculate the remainder when 8 is divided by b(3). 2 Suppose 0 = 12*p - p - 341. Let d = -49 - -110. What is the remainder when d is divided by p? 30 Let s(d) = 8*d - d**2 - d**3 + 1 - 6 - 8*d**2 + 2. Calculate the remainder when s(-10) is divided by 9. 8 Let b(z) = -2*z**2 - 12*z - 8. Let f be b(-6). Let l = 16 + f. What is the remainder when 30 is divided by l? 6 Let s = 1898 - 1128. What is the remainder when (-4)/(-14) + (s/49 - 1) is divided by 5? 0 Let l(f) = -f**3 + 3*f**2 - 1. Let h be l(2). Suppose -m = 3*j - 4*m - 54, 0 = 5*j + h*m - 122. What is the remainder when j is divided by 6? 4 Calculate the remainder when 314 is divided by (-1 - (-130)/4)*2. 62 Let q = 98 - 74. Calculate the remainder when 87 is divided by q. 15 Suppose 5*d - 4*z + 26 = 7, -3*d - 33 = 3*z. Let n be 4/(-14) - 2067/d. Suppose -t = 4*t - n. Calculate the remainder when t is divided by 12. 11 Suppose -3*n - 5 = 7. Let y be 6/n + (-5)/2. What is the remainder when 3 + 124/(-8)*y is divided by 22? 21 Suppose 2*a = 7*a + 25, -5*k = -2*a - 16110. Calculate the remainder when k is divided by 18. 16 What is the remainder when 47 is divided by -3 - 145/(-50) - 122/(-20)? 5 Suppose -2*b = -0*n - 5*n - 110, 115 = 3*b + 5*n. Calculate the remainder when 537 is divided by b. 42 Let l(j) = 3*j**2 + 22*j + 30. Calculate the remainder when 80 is divided by l(-8). 34 Let q = -391 + 629. Let s = -158 + q. Let t(r) = -r**3 + 17*r**2 + 2*r - 6. Calculate the remainder when s is divided by t(17). 24 Suppose -m - c = 3, 11 = -5*m - 11*c + 10*c. What is the remainder when 13 + 247 + 3 + m + -2 is divided by 13? 12 Suppose 0 = -4*x + 3*t + 36 - 8, -3*x + 5*t + 21 = 0. What is the remainder when x/(-2)*(-160)/56 is divided by (-25)/(-9) + 2/9? 1 Let q(p) = -p**3 + p**2 + 2*p + 7. Calculate the remainder when 221 is divided by q(-3). 36 Let s = 612 - 607. What is the remainder when 44 is divided by s? 4 Let a = -17 + 19. Calculate the remainder when 8 is divided by (-8)/a - (-1 - 8). 3 Suppose -7 + 2 = -g. Suppose -i + g = -5. Let f = 69 - 31. Calculate the remainder when f is divided by i. 8 Suppose 7*z - 6*z = 4*g - 91, z - 5 = 0. What is the remainder when g is divided by 12? 0 Let b(a) = -a**3 - 15*a**2 - 14*a + 3. Let u be b(-14). Suppose 0 = -0*p + u*p - 36. Calculate the remainder when 33 is divided by p. 9 Suppose 4*f = 3*p + 1367, -9*f + 8*f - 4*p = -318. What is the remainder when f is divided by 20? 18 Let s = 35 + -8. Let k = s - 8. What is the remainder when 56 is divided by k? 18 Suppose -n - 6 = -5*z - 2, 3*n - 5*z = 38. Let a(d) = -d**3 + 4*d**2. Let t be a(-3). Let u = t + -22. Calculate the remainder when u is divided by n. 20 Suppose -8 = -q + 7. Suppose -5 + q = 2*h. Suppose -25 = -2*l - 5*m + 20, -3*l = h*m - 55. What is the remainder when 29 is divided by l? 9 Suppose 0*v + 6*v - 7*v = 0. What is the remainder when 138 + 5/20*v is divided by 35? 33 Let u(s) = -38*s - 12. Let b be u(-5). Suppose 3*c = b - 31. Suppose -a + 12 + 13 = 0. What is the remainder when c is divided by a? 24 Let x(w) = -14*w**2 - 9*w + 83. Let f(n) = 5*n**2 + 3*n - 28. Let q(m) = -11*f(m) - 4*x(m). Calculate the remainder when 125 is divided by q(-8). 13 Let u(k) = 3*k + 16. What is the remainder when 103 is divided by u(4)? 19 Suppose -12*v = -0*v - 684. What is the remainder when 226 is divided by v? 55 Suppose 0 = -z, x + 3*z - 150 = -x. Suppose 4*d = 2*h + 110 + 12, 5*h - 85 = -3*d. Let i = 49 - d. What is the remainder when x is divided by i? 18 Let a(m) = 2*m - 7*m**2 - 1 + 6*m**2 + 2 - m**3. Let i be a(2). Let l = -5 - i. What is the remainder when 2 is divided by l? 0 Let r be 33/6 + (-6)/(-4). Suppose r*p = 4*p + 33. Calculate the remainder when 37 is divided by p. 4 Let p(y) = 16*y. Let j be p(2). Suppose j = t + h, 4*h + 48 = 2*t - 16. Suppose -18 - t = -u. Calculate the remainder when u is divided by 26. 24 What is the remainder when (-85 - 8)*(-1)/3 is divided by 5? 1 Suppose 2*g + 2*g = 336. Let o = -48 + g. What is the remainder when 107 is divided by o? 35 Let o(k) = -53*k - 521. Calculate the remainder when 2*46/8*2 is divided by o(-10). 5 Let p(x) = 18*x - 100. Calculate the remainder when p(13) is divided by 34. 32 Let t be 30*(4 - 80/25). Suppose z = -5*z + t. Calculate the remainder when (-15)/10*40/(-6) is divided by z. 2 Suppose 4*d - 732 = -o, -4*d + 964 - 252 = -4*o. Calculate the remainder when d is divided by 75. 32 Let o(s) = 4*s - 19. Let t be o(5). Suppose 130 = 4*c + c. Let p = t + c. What is the remainder when 78 is divided by p? 24 Let w = -111 - -160. Suppose 6*i + 2*r - 191 = i, -w = -i + 5*r. Calculate the remainder when i is divided by 11. 6 Let u(l) = 3*l + 9. Suppose -4*t + 126 = 4*r - 2*r, r + 175 = 5*t. Calculate the remainder when t is divided by u(0). 7 Let g(d) = 4*d**2 - 18*d + 22. Let q(f) = -7*f**2 + 36*f - 43. Let o(u) = 5*g(u) + 3*q(u). Let v be o(17). What is the remainder when 3 is d
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 140 What is 363979363 to the power of 1/2, to the nearest integer? 19078 What is the third root of 349083892 to the nearest integer? 704 What is 641289231 to the power of 1/4, to the nearest integer? 159 What is 1193664832 to the power of 1/4, to the nearest integer? 186 What is 631177351 to the power of 1/7, to the nearest integer? 18 What is the square root of 49474167 to the nearest integer? 7034 What is the sixth root of 73282291 to the nearest integer? 20 What is the seventh root of 57550217 to the nearest integer? 13 What is 4299777007 to the power of 1/10, to the nearest integer? 9 What is the cube root of 168149592 to the nearest integer? 552 What is 474938847 to the power of 1/3, to the nearest integer? 780 What is the cube root of 84642878 to the nearest integer? 439 What is the square root of 720265426 to the nearest integer? 26838 What is 86907863 to the power of 1/8, to the nearest integer? 10 What is 1847213 to the power of 1/2, to the nearest integer? 1359 What is the square root of 75114386 to the nearest integer? 8667 What is the cube root of 41160935 to the nearest integer? 345 What is 215886989 to the power of 1/2, to the nearest integer? 14693 What is 601983780 to the power of 1/2, to the nearest integer? 24535 What is the sixth root of 484294461 to the nearest integer? 28 What is 1062278 to the power of 1/10, to the nearest integer? 4 What is the third root of 817291069 to the nearest integer? 935 What is the third root of 6425479517 to the nearest integer? 1859 What is the square root of 102220800 to the nearest integer? 10110 What is 1669770737 to the power of 1/2, to the nearest integer? 40863 What is 913105396 to the power of 1/6, to the nearest integer? 31 What is the square root of 82735951 to the nearest integer? 9096 What is the cube root of 1262583950 to the nearest integer? 1081 What is 645257326 to the power of 1/2, to the nearest integer? 25402 What is the fifth root of 49510478 to the nearest integer? 35 What is 861741624 to the power of 1/8, to the nearest integer? 13 What is the eighth root of 143103531 to the nearest integer? 10 What is 5019836 to the power of 1/2, to the nearest integer? 2240 What is the cube root of 3800733363 to the nearest integer? 1561 What is the cube root of 720250548 to the nearest integer? 896 What is the fourth root of 23097805 to the nearest integer? 69 What is the square root of 158792761 to the nearest integer? 12601 What is 27293534 to the power of 1/4, to the nearest integer? 72 What is the third root of 55829618 to the nearest integer? 382 What is the third root of 1969009618 to the nearest integer? 1253 What is the seventh root of 211012714 to the nearest integer? 15 What is the fourth root of 2055427098 to the nearest integer? 213 What is 700835783 to the power of 1/8, to the nearest integer? 13 What is 21773131 to the power of 1/8, to the nearest integer? 8 What is the third root of 5035142797 to the nearest integer? 1714 What is the square root of 745829631 to the nearest integer? 27310 What is the square root of 2138078688 to the nearest integer? 46239 What is the third root of 4074733700 to the nearest integer? 1597 What is the fourth root of 537150665 to the nearest integer? 152 What is the square root of 433928567 to the nearest integer? 20831 What is the tenth root of 163862674 to the nearest integer? 7 What is 24602885 to the power of 1/3, to the nearest integer? 291 What is 75023540 to the power of 1/3, to the nearest integer? 422 What is the square root of 779630361 to the nearest integer? 27922 What is 252804609 to the power of 1/3, to the nearest integer? 632 What is 53644170 to the power of 1/2, to the nearest integer? 7324 What is the tenth root of 3500784954 to the nearest integer? 9 What is 244475527 to the power of 1/5, to the nearest integer? 48 What is the third root of 42596755 to the nearest integer? 349 What is 2613803672 to the power of 1/2, to the nearest integer? 51125 What is 1272123322 to the power of 1/7, to the nearest integer? 20 What is the sixth root of 87063015 to the nearest integer? 21 What is 460839318 to the power of 1/3, to the nearest integer? 772 What is the cube root of 359275494 to the nearest integer? 711 What is 89905811 to the power of 1/7, to the nearest integer? 14 What is 2193256810 to the power of 1/8, to the nearest integer? 15 What is the square root of 29627599 to the nearest integer? 5443 What is the eighth root of 557504278 to the nearest integer? 12 What is the cube root of 573133169 to the nearest integer? 831 What is 21834954 to the power of 1/6, to the nearest integer? 17 What is 270050253 to the power of 1/2, to the nearest integer? 16433 What is the ninth root of 6796289019 to the nearest integer? 12 What is the cube root of 3355393830 to the nearest integer? 1497 What is the third root of 597503200 to the nearest integer? 842 What is the ninth root of 65557252 to the nearest integer? 7 What is the cube root of 80258461 to the nearest integer? 431 What is 2503113444 to the power of 1/3, to the nearest integer? 1358 What is 82663871 to the power of 1/2, to the nearest integer? 9092 What is the square root of 2936659882 to the nearest integer? 54191 What is 6365678761 to the power of 1/9, to the nearest integer? 12 What is 1118089603 to the power of 1/2, to the nearest integer? 33438 What is 143381632 to the power of 1/2, to the nearest integer? 11974 What is 1467038632 to the power of 1/2, to the nearest integer? 38302 What is 1977365119 to the power of 1/9, to the nearest integer? 11 What is 2001474480 to the power of 1/9, to the nearest integer? 11 What is 6392843540 to the power of 1/2, to the nearest integer? 79955 What is the third root of 59915725 to the nearest integer? 391 What is the third root of 148213139 to the nearest integer? 529 What is 11690480 to the power of 1/4, to the nearest integer? 58 What is the sixth root of 1490367750 to the nearest integer? 34 What is the eighth root of 352024888 to the nearest integer? 12 What is the seventh root of 3345178062 to the nearest integer? 23 What is 95309314 to the power of 1/3, to the nearest integer? 457 What is the third root of 4519675208 to the nearest integer? 1653 What is 107631639 to the power of 1/10, to the nearest integer? 6 What is the sixth root of 34647162 to the nearest integer? 18 What is the fifth root of 22483631 to the nearest integer? 30 What is 41561524 to the power of 1/6, to the nearest integer? 19 What is 24408694 to the power of 1/5, to the nearest integer? 30 What is the square root of 3773063959 to the nearest integer? 61425 What is the square root of 313714171 to the nearest integer? 17712 What is the square root of 739326472 to the nearest integer? 27191 What is the cube root of 42620154 to the nearest integer? 349 What is the third root of 45969933 to the nearest integer? 358 What is the fifth root of 712520595 to the nearest integer? 59 What is 487233937 to the power of 1/2, to the nearest integer? 22073 What is 1562335755 to the power of 1/2, to the nearest integer? 39526 What is the square root of 445594669 to the nearest integer? 21109 What is the square root of 100366046 to the nearest integer? 10018 What is the sixth root of 8246223113 to the nearest integer? 45 What is the seventh root of 830127592 to the nearest integer? 19 What is the square root of 457276565 to the nearest integer? 21384 What is the square root of 1852982921 to the nearest integer? 43046 What is 128543137 to the power of 1/7, to the nearest integer? 14 What is 54577242 to the power of 1/10, to the nearest integer? 6 What is 15696657 to the power of 1/2, to the nearest integer? 3962 What is the tenth root of 68165734 to the nearest integer? 6 What is 242489158 to the power of 1/5, to the nearest integer? 48 What is the sixth root of 82608613 to the nearest integer? 21 What is the fifth root of 55686165 to the nearest integer? 35 What is 144960949 to the power of 1/6, to the nearest integer? 23 What is the sixth root of 584923076 to the nearest integer? 29 What is 106190119 to the power of 1/3, to the nearest integer? 474 What is 5316437862 to the power of 1/5, to the nearest integer? 88 What is the fourth root of 23929936 to the
{ "pile_set_name": "DM Mathematics" }
f 6707 to the nearest integer? 3 What is the cube root of 97521 to the nearest integer? 46 What is the square root of 1411 to the nearest integer? 38 What is 31297 to the power of 1/2, to the nearest integer? 177 What is 1216 to the power of 1/3, to the nearest integer? 11 What is 37526 to the power of 1/2, to the nearest integer? 194 What is 301 to the power of 1/7, to the nearest integer? 2 What is 748 to the power of 1/9, to the nearest integer? 2 What is the square root of 10569 to the nearest integer? 103 What is the square root of 1034 to the nearest integer? 32 What is 12783 to the power of 1/9, to the nearest integer? 3 What is 138075 to the power of 1/2, to the nearest integer? 372 What is the cube root of 69 to the nearest integer? 4 What is 10740 to the power of 1/6, to the nearest integer? 5 What is 30158 to the power of 1/3, to the nearest integer? 31 What is the square root of 86922 to the nearest integer? 295 What is 9859 to the power of 1/2, to the nearest integer? 99 What is the square root of 2204 to the nearest integer? 47 What is the square root of 2811 to the nearest integer? 53 What is the fourth root of 1079 to the nearest integer? 6 What is 101564 to the power of 1/2, to the nearest integer? 319 What is 1275 to the power of 1/2, to the nearest integer? 36 What is the square root of 488 to the nearest integer? 22 What is 643 to the power of 1/10, to the nearest integer? 2 What is the cube root of 7066 to the nearest integer? 19 What is 15859 to the power of 1/8, to the nearest integer? 3 What is the square root of 948 to the nearest integer? 31 What is the square root of 20945 to the nearest integer? 145 What is the square root of 6573 to the nearest integer? 81 What is the cube root of 2451 to the nearest integer? 13 What is 134227 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 49951 to the nearest integer? 15 What is 2958 to the power of 1/7, to the nearest integer? 3 What is the fifth root of 4015 to the nearest integer? 5 What is 1825 to the power of 1/6, to the nearest integer? 3 What is 873 to the power of 1/2, to the nearest integer? 30 What is 2547 to the power of 1/7, to the nearest integer? 3 What is the cube root of 1619 to the nearest integer? 12 What is 4660 to the power of 1/2, to the nearest integer? 68 What is the cube root of 10846 to the nearest integer? 22 What is 5644 to the power of 1/8, to the nearest integer? 3 What is the cube root of 1043 to the nearest integer? 10 What is the square root of 4305 to the nearest integer? 66 What is the square root of 1150 to the nearest integer? 34 What is the third root of 10334 to the nearest integer? 22 What is 32878 to the power of 1/2, to the nearest integer? 181 What is the cube root of 645 to the nearest integer? 9 What is 562 to the power of 1/2, to the nearest integer? 24 What is 320 to the power of 1/8, to the nearest integer? 2 What is the cube root of 67296 to the nearest integer? 41 What is the ninth root of 141902 to the nearest integer? 4 What is 5920 to the power of 1/5, to the nearest integer? 6 What is 2094 to the power of 1/10, to the nearest integer? 2 What is 1103 to the power of 1/6, to the nearest integer? 3 What is the square root of 3085 to the nearest integer? 56 What is the third root of 86655 to the nearest integer? 44 What is the cube root of 27483 to the nearest integer? 30 What is the eighth root of 1103 to the nearest integer? 2 What is 2437 to the power of 1/8, to the nearest integer? 3 What is 36530 to the power of 1/9, to the nearest integer? 3 What is the square root of 336 to the nearest integer? 18 What is 26082 to the power of 1/6, to the nearest integer? 5 What is 39061 to the power of 1/4, to the nearest integer? 14 What is the cube root of 2394 to the nearest integer? 13 What is the square root of 5000 to the nearest integer? 71 What is 24986 to the power of 1/3, to the nearest integer? 29 What is 40670 to the power of 1/2, to the nearest integer? 202 What is the square root of 19297 to the nearest integer? 139 What is the square root of 16476 to the nearest integer? 128 What is the seventh root of 3963 to the nearest integer? 3 What is the third root of 11044 to the nearest integer? 22 What is 3719 to the power of 1/5, to the nearest integer? 5 What is the third root of 269 to the nearest integer? 6 What is 3423 to the power of 1/3, to the nearest integer? 15 What is the eighth root of 3512 to the nearest integer? 3 What is the square root of 55167 to the nearest integer? 235 What is the eighth root of 7012 to the nearest integer? 3 What is 51533 to the power of 1/9, to the nearest integer? 3 What is 279 to the power of 1/7, to the nearest integer? 2 What is the square root of 3317 to the nearest integer? 58 What is 2511 to the power of 1/2, to the nearest integer? 50 What is the third root of 8643 to the nearest integer? 21 What is the square root of 40397 to the nearest integer? 201 What is 5843 to the power of 1/3, to the nearest integer? 18 What is the third root of 97172 to the nearest integer? 46 What is 107 to the power of 1/2, to the nearest integer? 10 What is 100 to the power of 1/5, to the nearest integer? 3 What is the eighth root of 6337 to the nearest integer? 3 What is the third root of 225 to the nearest integer? 6 What is 12067 to the power of 1/7, to the nearest integer? 4 What is 6805 to the power of 1/2, to the nearest integer? 82 What is 2834 to the power of 1/2, to the nearest integer? 53 What is 35261 to the power of 1/3, to the nearest integer? 33 What is 94709 to the power of 1/4, to the nearest integer? 18 What is 8904 to the power of 1/7, to the nearest integer? 4 What is the square root of 2595 to the nearest integer? 51 What is 1555 to the power of 1/6, to the nearest integer? 3 What is 105443 to the power of 1/3, to the nearest integer? 47 What is 604 to the power of 1/5, to the nearest integer? 4 What is 51370 to the power of 1/8, to the nearest integer? 4 What is 8489 to the power of 1/10, to the nearest integer? 2 What is the third root of 1686 to the nearest integer? 12 What is the third root of 2451 to the nearest integer? 13 What is 6878 to the power of 1/9, to the nearest integer? 3 What is 2058 to the power of 1/3, to the nearest integer? 13 What is the cube root of 65339 to the nearest integer? 40 What is the square root of 15769 to the nearest integer? 126 What is the square root of 41398 to the nearest integer? 203 What is 94 to the power of 1/2, to the nearest integer? 10 What is 41859 to the power of 1/5, to the nearest integer? 8 What is the eighth root of 6818 to the nearest integer? 3 What is the third root of 6192 to the nearest integer? 18 What is 39336 to the power of 1/3, to the nearest integer? 34 What is the square root of 808 to the nearest integer? 28 What is 6423 to the power of 1/8, to the nearest integer? 3 What is 578 to the power of 1/4, to the nearest integer? 5 What is 64 to the power of 1/2, to the nearest integer? 8 What is the cube root of 9042 to the nearest integer? 21 What is 99717 to the power of 1/2, to the nearest integer? 316 What is the third root of 2627 to the nearest integer? 14 What is the cube root of 45376 to the nearest integer? 36 What is the seventh root of 13514 to the nearest integer? 4 What is the third root of 2677 to the nearest integer? 14 What is the fourth root of 8550 to the nearest integer? 10 What is the cube root of 76456 to the nearest integer? 42 What is the cube root of 30499 to the nearest integer? 31 What is 6631 to the power of 1/2, to the nearest integer? 81 What is 2110 to the power of 1/3, to the nearest integer? 13 What is 502 to the power of 1/2, to the nearest integer? 22 What is the square root of 4575 to the nearest integer? 68 What is the square root of 1197 to the nearest integer? 35 What is 4222 to the power of 1/7, to the nearest integer? 3 What is 5930 to the power of 1/3, to the nearest integer? 18 What is 20563 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 18706 to the nearest integer? 3 What is the third root of 66011 to the nearest integer? 40 What is the third root of 3881 to the nearest integer? 16 What is 153 to the power of 1/5, to the nearest i
{ "pile_set_name": "DM Mathematics" }
he remainder when 30574 is divided by 297. 280 What is the remainder when 760 is divided by 680? 80 Calculate the remainder when 104692 is divided by 478. 10 Calculate the remainder when 560695 is divided by 525. 520 Calculate the remainder when 13611 is divided by 6779. 53 Calculate the remainder when 4863 is divided by 2325. 213 Calculate the remainder when 9694 is divided by 835. 509 Calculate the remainder when 5027 is divided by 495. 77 What is the remainder when 6457 is divided by 6430? 27 Calculate the remainder when 2487 is divided by 1227. 33 Calculate the remainder when 362175 is divided by 1111. 1100 Calculate the remainder when 10353 is divided by 114. 93 Calculate the remainder when 2615 is divided by 847. 74 Calculate the remainder when 55391 is divided by 27688. 15 Calculate the remainder when 1150221 is divided by 1078. 1073 Calculate the remainder when 2108 is divided by 529. 521 What is the remainder when 205578 is divided by 68512? 42 Calculate the remainder when 915856 is divided by 915841. 15 Calculate the remainder when 7897 is divided by 435. 67 Calculate the remainder when 4931 is divided by 1214. 75 Calculate the remainder when 1459 is divided by 718. 23 Calculate the remainder when 499389 is divided by 306. 303 What is the remainder when 153414 is divided by 209? 8 Calculate the remainder when 2019 is divided by 460. 179 Calculate the remainder when 29787 is divided by 133. 128 What is the remainder when 3479089 is divided by 21? 19 What is the remainder when 1723473 is divided by 325? 323 What is the remainder when 4660033 is divided by 54? 49 Calculate the remainder when 42833 is divided by 57. 26 What is the remainder when 223526 is divided by 86? 12 What is the remainder when 50255 is divided by 50146? 109 Calculate the remainder when 1861273 is divided by 575. 573 Calculate the remainder when 1643 is divided by 321. 38 Calculate the remainder when 9170 is divided by 166. 40 What is the remainder when 3592 is divided by 8? 0 What is the remainder when 990 is divided by 91? 80 Calculate the remainder when 42900 is divided by 8572. 40 What is the remainder when 7293 is divided by 1583? 961 What is the remainder when 8929 is divided by 1474? 85 Calculate the remainder when 258039 is divided by 512. 503 Calculate the remainder when 1025 is divided by 251. 21 What is the remainder when 4799094 is divided by 159? 156 Calculate the remainder when 718 is divided by 213. 79 What is the remainder when 58790 is divided by 246? 242 What is the remainder when 31801 is divided by 407? 55 What is the remainder when 5555 is divided by 2776? 3 Calculate the remainder when 1600 is divided by 118. 66 What is the remainder when 118061 is divided by 47? 44 Calculate the remainder when 1498 is divided by 370. 18 Calculate the remainder when 1313 is divided by 609. 95 Calculate the remainder when 6015 is divided by 1211. 1171 Calculate the remainder when 1187689 is divided by 18. 13 What is the remainder when 381 is divided by 314? 67 What is the remainder when 17849 is divided by 32? 25 What is the remainder when 7010 is divided by 180? 170 Calculate the remainder when 23553 is divided by 124. 117 Calculate the remainder when 29802 is divided by 5925. 177 What is the remainder when 5782 is divided by 32? 22 What is the remainder when 100434 is divided by 53? 52 Calculate the remainder when 684928 is divided by 47. 44 What is the remainder when 162159 is divided by 33? 30 Calculate the remainder when 3033253 is divided by 367. 365 Calculate the remainder when 39133 is divided by 3010. 3 What is the remainder when 41897 is divided by 5983? 16 Calculate the remainder when 4999 is divided by 4709. 290 Calculate the remainder when 540801 is divided by 1446. 1443 What is the remainder when 9623 is divided by 806? 757 Calculate the remainder when 9420 is divided by 248. 244 What is the remainder when 30190 is divided by 74? 72 What is the remainder when 30803 is divided by 4392? 59 Calculate the remainder when 359214 is divided by 69. 0 What is the remainder when 9770 is divided by 1219? 18 What is the remainder when 3633 is divided by 3? 0 What is the remainder when 387 is divided by 140? 107 What is the remainder when 275701 is divided by 16? 5 What is the remainder when 62188 is divided by 368? 364 What is the remainder when 446244 is divided by 44? 40 Calculate the remainder when 7498 is divided by 3734. 30 What is the remainder when 369877 is divided by 92464? 21 What is the remainder when 773072 is divided by 502? 494 What is the remainder when 14626 is divided by 2355? 496 What is the remainder when 17089 is divided by 17066? 23 Calculate the remainder when 3006 is divided by 1151. 704 What is the remainder when 285382 is divided by 517? 515 What is the remainder when 7041 is divided by 83? 69 What is the remainder when 80409 is divided by 185? 119 What is the remainder when 1835 is divided by 1408? 427 Calculate the remainder when 25571 is divided by 124. 27 Calculate the remainder when 304611 is divided by 1430. 21 What is the remainder when 20861 is divided by 37? 30 Calculate the remainder when 115664 is divided by 167. 100 What is the remainder when 3220 is divided by 136? 92 What is the remainder when 9895 is divided by 129? 91 Calculate the remainder when 15016 is divided by 302. 218 What is the remainder when 5859 is divided by 1348? 467 What is the remainder when 149457 is divided by 29880? 57 Calculate the remainder when 641 is divided by 278. 85 What is the remainder when 3201 is divided by 557? 416 What is the remainder when 96698 is divided by 32? 26 Calculate the remainder when 28314 is divided by 1011. 6 Calculate the remainder when 285814 is divided by 54. 46 What is the remainder when 2869478 is divided by 40? 38 What is the remainder when 73630 is divided by 125? 5 What is the remainder when 52735 is divided by 256? 255 Calculate the remainder when 17172 is divided by 249. 240 What is the remainder when 632 is divided by 534? 98 Calculate the remainder when 8951 is divided by 689. 683 What is the remainder when 247955 is divided by 94? 77 Calculate the remainder when 96251 is divided by 9. 5 Calculate the remainder when 70207 is divided by 836. 819 Calculate the remainder when 38095 is divided by 8. 7 What is the remainder when 48608 is divided by 151? 137 What is the remainder when 5387 is divided by 5379? 8 Calculate the remainder when 556550 is divided by 584. 582 What is the remainder when 223969 is divided by 20? 9 Calculate the remainder when 3410 is divided by 226. 20 Calculate the remainder when 50420 is divided by 132. 128 What is the remainder when 2184 is divided by 274? 266 What is the remainder when 239039 is divided by 126? 17 Calculate the remainder when 72978 is divided by 1655. 158 What is the remainder when 75932 is divided by 39? 38 What is the remainder when 163826 is divided by 81905? 16 What is the remainder when 2361 is divided by 40? 1 What is the remainder when 4882 is divided by 2425? 32 What is the remainder when 12407 is divided by 11? 10 What is the remainder when 3135 is divided by 875? 510 Calculate the remainder when 3982 is divided by 1665. 652 Calculate the remainder when 515 is divided by 57. 2 Calculate the remainder when 2894834 is divided by 170284. 6 What is the remainder when 3509 is divided by 108? 53 What is the remainder when 261070 is divided by 65259? 34 What is the remainder when 187882 is divided by 306? 304 What is the remainder when 98615 is divided by 21? 20 Calculate the remainder when 28966 is divided by 41. 20 Calculate the remainder when 11236 is divided by 5502. 232 Calculate the remainder when 52282 is divided by 490. 342 What is the remainder when 1028712 is divided by 171451? 6 Calculate the remainder when 3569 is divided by 59. 29 Calculate the remainder when 78617 is divided by 53. 18 What is the remainder when 1218421 is divided by 881? 879 What is the remainder when 30939 is divided by 5? 4 What is the remainder when 17136 is divided by 92? 24 What is the remainder when 713826 is divided by 190? 186 Calculate the remainder when 9142 is divided by 3012. 106 What is the remainder when 9104 is divided by 307? 201 Calculate the remainder when 210953 is div
{ "pile_set_name": "DM Mathematics" }
(-1))/(t**1/(t/((t*t**1*t)/t)))) assuming t is positive. t**(-254/99) Simplify (((i*i**(-5)*i/(i**(-6)/i))**(-2/17))**(-10))**(-40) assuming i is positive. i**(-3200/17) Simplify ((x**(2/11)/x)/x**(-7)*x**0*x**(8/11))**38 assuming x is positive. x**(2888/11) Simplify ((u**(-1/4))**40)**(-9)*(u/(u/u**1))**20/(u*u/(u**(2/5)*u)*u*u)**40 assuming u is positive. u**6 Simplify ((((u**(-1/9)/u)/(u*u**(-4)))/(u*u**(-2)*u*u)**9)**(-2/95))**(-21) assuming u is positive. u**(-896/285) Simplify (y**34/y**(-33))/((y*y*y**(1/39)*y*y)/y**19) assuming y is positive. y**(3197/39) Simplify (o**(1/18)/o**9)/(o**(-3/7)/(o**(2/19)/o))*(o**(2/5)/o**(1/3))/(o*o*o**(-1/2)/o)**15 assuming o is positive. o**(-100811/5985) Simplify ((t*t*t/(t*(t*t**(-8))/t)*t)/t**(-3/11))**(4/31)/(t**(5/3)*t*t/(t**0*t*t)*(t*t**(2/7)/t)**(2/5)) assuming t is positive. t**(-377/1155) Simplify ((s*s**(-14))/s**(-1))**47/((s**(1/2))**7*((s*(s*s**(2/7))/s)/s)**46) assuming s is positive. s**(-8129/14) Simplify ((h**(-8)*h**(2/41)/h*(h**(4/3)*h)/((h/h**(-2))/h))**(3/8))**(-49) assuming h is positive. h**(12985/82) Simplify ((b**(-3/5))**(14/3))**(-9)/(((b**(-1)/b*b)/b)**(-26)*b**(-2/9)/b**(3/7)) assuming b is positive. b**(-8237/315) Simplify ((i**(-10)/i)**(-1/7)/(i**(1/36)/((i*i**39)/i)))**12 assuming i is positive. i**(10217/21) Simplify ((l**(7/9)/l**(1/3))/(l**(-9)*l**(-21)))**23 assuming l is positive. l**(6302/9) Simplify (((h*h**(-4/11))**(-34))**(-3/35))**(23/3) assuming h is positive. h**(782/55) Simplify (p*p*p/(p*p/(p/(p*p*p*p**18*p)*p*p))*p**(3/2)/p*p**(-4/3)*p*p**19)**(-20/9) assuming p is positive. p**(-70/27) Simplify ((((f/(f/(f*f**(2/53)/f)))/f)/f**(5/7))/(f**(2/5)/(f*f**(-2/43)*f)))**44 assuming f is positive. f**(-431904/79765) Simplify ((f/f**(4/3))/(f/(f/(f/(f*f*f**5)*f))*f)*f*f**(5/6)*f/f**(-2/33))**(-47) assuming f is positive. f**(-20351/66) Simplify (((v**2/v)**(5/18)/(v**(5/6)*v*((v*v*v**(-2/7))/v*v)/v))**4)**(-47) assuming v is positive. v**(26884/63) Simplify ((w**42*w/(w*w**(6/19)))/(w**(10/7)*w/w**(-46)))**1 assuming w is positive. w**(-897/133) Simplify (r*r**(4/25))/r**(4/3)*(r*r/(r/(r/r**(-3/17))))/r**(-2/39) assuming r is positive. r**(34052/16575) Simplify (y**(1/3))**(9/2)/((y*y/y**(-3)*y*y)/((y*y/((y*y*y/y**5*y)/y))/y))*((y*y*y*y**(-2))/y)**18/(y**1)**(-12) assuming y is positive. y**(19/2) Simplify ((q*q**(-3/4))/(q/((q*q**1*q)/q))*q**(2/23)/(q*q**(-2/3)))/((q**(1/15)/q**(-8))/(q*q**(-1))**(2/13)) assuming q is positive. q**(-3249/460) Simplify (q**(2/7)/q**6)/(((q**(1/2)*q)/q)/q**(2/17))*((q*q**(3/4))/((q/(q**(-7)/q))/q))/(q**(2/27)/(q/(q**(-6/7)*q))) assuming q is positive. q**(-148615/12852) Simplify (((t**(-1)*t)**29*(t**1)**36)**(2/69))**13 assuming t is positive. t**(312/23) Simplify ((h**(-1/3)*h*h)**(1/9))**(2/77)*(h/h**8*((h**5/h)/h)/h*h)/(h**(-1)*h**6/h) assuming h is positive. h**(-16622/2079) Simplify (n**(4/3)/(n**(-2/25)*n))/((n/(n/n**(-18/5)))/n)**(4/19) assuming n is positive. n**(1969/1425) Simplify (((f/(f*f*f**3))**(2/69)*f*f**(-2/11)/f*f**(1/10)*f)**(3/17))**(-31) assuming f is positive. f**(-188759/43010) Simplify (((f/f**8*f)/f*f)/f**(-6/5))**(-32)*((f**(1/3))**(1/2))**(-4) assuming f is positive. f**(2294/15) Simplify ((r*r/(r/r**(1/6)))**(-19)*r**(-21)*(r/r**(15/2))/r)**(-19) assuming r is positive. r**(2888/3) Simplify i**6*i**(-1)*i/(i*i*i**(-1)*i)*i**6/i*(i*i/(i**(-6)/i))/i*i/i**(2/11)*(i*i/((i**0/i)/i)*i)**17 assuming i is positive. i**(1131/11) Simplify ((((h*h**(-3/4)*h)**(-26))**(-14))**(-30))**(2/103) assuming h is positive. h**(-27300/103) Simplify (((n**(-1/5)/n)/n**(-1/14)*(n*(n/(n*n**(-5)*n))/n)/(n*(n/(n/n**(-3/7)))/n*n))**23)**(5/8) assuming n is positive. n**(529/16) Simplify ((((((r*r*r**2/r*r)/r)/r)/r*r)/r)**(-12)*r**(-3/4)*r/r**3)/((r**(-2/5))**30*(r**(1/4))**(-22)) assuming r is positive. r**(11/4) Simplify (((d/(d*(d*d**(-2/13))/d))/d)/d*d*((d**(-1/3)*d)/d)/d*(d/d**(8/5))**(-45))**(-50) assuming d is positive. d**(-48400/39) Simplify (c*c**2*c)/c**(1/6)*c*c**(-7)*c**1*((c*c/c**(-2))**20)**(3/8) assuming c is positive. c**(173/6) Simplify ((l/(l*l**(-1/4)*l))**14*l**(2/17)/(l/(l**(-2/3)*l*l)))/((l**(-1/3)*l)**37/(l**(1/2)*l*l*l**(-3/7)*l)) assuming l is positive. l**(-11297/357) Simplify ((i/(i/i**(5/6)*i)*i**(-5/6)/i*(((i*i**(2/3))/i)/i)**(3/26))**(40/9))**(-12) assuming i is positive. i**(4240/39) Simplify (((j**(-2/3))**20/(j**(-5)*j**(-7)*j))**(2/107))**(-49) assuming j is positive. j**(686/321) Simplify ((b**(-1))**(-2/83))**(-1/25)/(b**(-1)*b/b**(-4))**12 assuming b is positive. b**(-99602/2075) Simplify (((w/(w/(w/w**9)*w))/w)**(-1/12)*w**(-3/13)/(w*w*w*w*w**16/w))**(2/37) assuming w is positive. w**(-1435/1443) Simplify ((u*u*(u**(-2/15)*u)/u*u)**25)**36*(u**1*u)**15*(u*u*u**2*u*u)/(u/((u*u**(-7)/u*u)/u)) assuming u is positive. u**2608 Simplify (((x/x**3)/x)/x*x*(x/x**(1/4))/x*(x**(2/7))**(-46))/(((x/(x*x/(x*x**0*x)*x))/x*x)/((x/(x*(x/(x**(1/5)/x))/x*x))/x*x))**(-1/35) assuming x is positive. x**(-11439/700) Simplify ((z**12/(z/z**(-6))*(z**(-11)*z)/z**(-9))**45)**(-4/5) assuming z is positive. z**(-144) Simplify ((o/o**0)**(-8/9))**(-42)*((o/o**(-1))**(-32))**(-2/27) assuming o is positive. o**(1136/27) Simplify ((w**(-10/7))**(-43)/(w*w/(w**(-1/8)*w))**(2/3))**(-6/11) assuming w is positive. w**(-5097/154) Simplify (l*l**(-1)*l*l/(l*(l/(l*l**(2/3)))/l))**(31/5)*(l**0)**(-20)*(l/l**(-2/3)*l)**(-7/6) assuming l is positive. l**(604/45) Simplify ((f**(2/7)*f**(4/3)*f*f**(-1/5)*f*f*f/f**1)**(-1/9))**48 assuming f is positive. f**(-7424/315) Simplify ((f*f*f**(2/3))**(-15)/(f**(-14)/(f*f**(-3/5)/f*f)))**(-39) assuming f is positive. f**(4992/5) Simplify ((t**(5/3)/t)/(t**(2/7)*t)*t**(2/23)/(t/(t/t**(-2/81)*t)))**(31/2) assuming t is positive. t**(99572/13041) Simplify ((q**20/(q/(q/((q*q*q**11)/q)*q)))/(q/(q*(q**(7/9)/q)/q*q)*q*(q**(-8/5)*q)/q))**(-12) assuming q is positive. q**(-1688/15) Simplify (k/(k*k**35*k*k)*(k*(k**2/k)/k*k)/k*(k**(-4))**(3/5))**(2/123) assuming k is positive. k**(-128/205) Simplify (((f/(f*f/f**4*f*f))/(f**(-3/14)*f))/((f/f**(-5/4))/f*f*(f**(2/3)*f)/f))**(1/5) assuming f is positive. f**(-227/420) Simplify (j*j**6)/(j/(j*j**1/j))*(j*j*j/(j/j**(1/2)))**(-2/29)*(j*j**(-1))**(-2/31)*(j**0)**16 assuming j is positive. j**(198/29) Simplify (((k**(1/4)/k)/k)**(-36))**(-1/21)/((k**(-1)/k)**(-3/4))**(-5/2) assuming k is positive. k**(3/4) Simplify k*k**(-4/3)/k*(k**3*k)/k*(k/(k/k**(-1)))/k**(-9/4)*(k**0*k)**(-21)/(k**(-3)/(k*k**(-5/3)/k)) assuming k is positive. k**(-67/4) Simplify (n**(-2/7)/(n/(n/n**(-5/4)))*(n*n**3/n)**38)**(-3/23) assuming n is positive. n**(-9657/644) Simplify ((u/u**(-2/51))/(((u**(11/3)*u)/u)/u))/((u**(4/5)/u)/(u/u**(-1/6))) assuming u is positive. u**(-133/510) Simplify (r*r*r/(r*r*r**(-5)*r*r)*r*r**(5/4)*r*((r**3/r*r*r)/r)/r**(-3))/((r**(-2))**20*(r**(-1))**(-1/4)) assuming r is positive. r**53 Simplify (((q*q*q**(-1/3))/q)**(2/13))**(1/4)*(q*q*q/q**(-1))**(3/22)/(q*q/(q/(((q*q**0)/q)/q)))**(-6/19) assuming q is positive. q**(245/429) Simplify (v*v**(-12/11))**16/(v**(-28)/(v*(v*v**(8/11))/v)) assuming v is positive. v**(311/11) Simplify ((i/i**(2/7))**(-15))**(10/11)/((i/(((i/i**0)/i)/i))**(-2/63)*i**(-5)*i*i**4) assuming i is positive. i**(-958/99) Simplify (n*n**(2/11))/n**(-2)*(n**(-2/5)/n)/n*(n*n**(-1/14)*n)/n*(n**0)**(10/11)/(n**(-4/7)/(n*n**3)) assuming n is positive. n**(691/110) Simplify (((n**7/(n/(n/(((n**0*n)/n)/n*n))))/(n**(-1/2))**21)**(-2/19))**(2/69) assuming n is positive. n**(-70/1311) Simplify ((f/(f**5/f))/f*f**(1/6))/(f**(-2)/f*f**(-3/8))*((f**(-2/11)*f)/f*f*f/f**0*f)**(-13/4) assuming f is positive. f**(-2539/264) Simplify ((a/a**(2/17))**35/(a/a**(3/8)*a*a*(a/a**(-7))/a))**(-2/23) assuming a is positive. a**(-2891/1564) Simplify (b/(b**(-2/7)*b)*b)**(6/13)*(b**1)**(5/3)*(b/b**(1/2))**(5/11)*b*b**(-2/5)*b**0 assuming b is positive. b**(92713/30030) Simplify ((g/(g**18/g))/g**(-7/3))/(g**(2/27))**(-48) assuming g is positive. g**(-91/9) Simplify (x/(x*(x/x**(4/7))/x)*x**(-3))**(-39/2)*((x*x**(2/3))/((x**(1/4)/x*x)/x))/((x**(-2/5)*x)/x**6) assuming x is positive. x**(23173/420) Simplify (i/(i*i**(2/5)))**(1/5)*i**(-3)*i**1*((i/i**(2/5))**50)**(-2/51) assuming i is positive. i**(-1384/425) Simplify (((f**(-1))**(-13)*(f/(f/(f**(-1/4)*f)))**(
{ "pile_set_name": "DM Mathematics" }
2*r + 1. Let j be d(-23). Factor 7 - 3*m**3 + 5 + 40*m**2 - j*m - 25*m**2. -3*(m - 2)**2*(m - 1) Let j(v) = -11*v - 24. Let i be j(-5). Factor -66*u - 4*u**2 + 27*u + i*u. -4*u*(u + 2) Let a(j) be the second derivative of -j**4/3 - 2348*j**3/3 - 689138*j**2 - 1854*j. Suppose a(u) = 0. What is u? -587 Let f(g) be the third derivative of -g**5/60 + 7*g**4/6 - 57*g**3/2 - g**2 - 508*g. Factor f(u). -(u - 19)*(u - 9) Let y be (-4098)/9562 + 57*2/70. Factor y + 11/10*c - 1/10*c**2. -(c - 12)*(c + 1)/10 Let b(z) = -31*z**3 + 2 - 13*z**2 - 12*z**2 - 37*z**3 + 30*z + 71*z**3. Let c(y) = -6*y**3 + 24*y**2 - 30*y - 3. Let i(a) = -3*b(a) - 2*c(a). Factor i(v). 3*v*(v - 1)*(v + 10) Let l(y) = 15*y**2 + 16314*y + 22902555. Let s(q) = q**2 - 22*q + 4. Let i(j) = l(j) - 12*s(j). Factor i(p). 3*(p + 2763)**2 Let k = 177 + -175. Find j such that 8*j**4 - 12*j**3 + 144*j**5 - 2*j - 70*j**5 - 76*j**5 + 8*j**k = 0. 0, 1 Let g(n) be the first derivative of -n**4/3 + 20*n**3 - 208*n**2 - 18928*n/3 + 3050. Factor g(d). -4*(d - 26)**2*(d + 7)/3 Let g be (-72)/(-4) + -9 - 6. Factor 0 - 1/5*k**5 - k**4 - 2/5*k - 7/5*k**2 - 9/5*k**g. -k*(k + 1)**3*(k + 2)/5 Let p(u) = u**3 + 49*u**2 + 70*u + 1058. Let z be p(-48). Factor 3/5*g**3 - 18/5*g - 3*g**z + 0. 3*g*(g - 6)*(g + 1)/5 Let c(u) be the second derivative of u**6/40 - 3*u**5/8 - 171*u**4/16 - 2*u + 33. Factor c(b). 3*b**2*(b - 19)*(b + 9)/4 Let s(k) be the first derivative of 7*k**4/2 - 272*k**3/3 + 404*k**2 - 640*k - 1084. Factor s(u). 2*(u - 16)*(u - 2)*(7*u - 10) Let m(d) be the third derivative of -d**5/330 + 17*d**4/66 - 40*d**3/11 - d**2 + 455*d. Factor m(j). -2*(j - 30)*(j - 4)/11 Let g(r) be the third derivative of 2*r**2 - 1/630*r**7 + 1/45*r**5 - 47*r + 0*r**3 - 1/90*r**6 + 0 + 0*r**4 + 1/1008*r**8. Factor g(m). m**2*(m - 2)*(m - 1)*(m + 2)/3 Solve 0*t**2 + 0*t + 0 + 56/9*t**4 + 2/9*t**5 + 40*t**3 = 0. -18, -10, 0 Let t(y) be the first derivative of -2*y**5/15 + 19*y**4/6 + 208*y**3/9 - 92*y**2 - 11334. What is o in t(o) = 0? -6, 0, 2, 23 Let b(q) = -q**4 - q**3 - 2*q**2 + 2*q + 1. Let z(i) = -4*i**4 - 163*i**3 - 171*i**2 + 328*i + 5. Let n(s) = -5*b(s) + z(s). Factor n(j). j*(j - 159)*(j - 1)*(j + 2) Let m be ((-6)/(-4))/((-39)/(-52)). Factor -3*v**2 - 15*v + 1 + 9 + v**m + 7*v**2. 5*(v - 2)*(v - 1) Suppose 83 + 37 = 8*g. Solve g*a**2 - 5*a + 3*a**5 + 3*a**3 - 9*a**4 + 0*a - a - 6*a**2 = 0. -1, 0, 1, 2 Let u = -3206879/204 - -15720. Let v(s) be the third derivative of -1/510*s**5 + 0*s**3 + 0 + u*s**4 - 1/595*s**7 - 27*s**2 - 1/204*s**6 + 0*s. Factor v(n). -2*n*(n + 1)**2*(3*n - 1)/17 Let w(n) be the third derivative of 53/12*n**4 + 0 + 103*n**2 + 0*n + 0*n**3 + 1/30*n**5. Factor w(g). 2*g*(g + 53) Let z = -199886 + 199888. Find m such that 6/11*m**4 - 16/11*m**3 + 4/11*m + 6/11*m**z + 0 = 0. -1/3, 0, 1, 2 Let d(o) be the first derivative of 2*o**6/21 + 92*o**5/35 + 17*o**4 - 668*o**3/21 - 240*o**2/7 + 576*o/7 - 5. What is m in d(m) = 0? -12, -1, 1 Suppose -107*z + 0 = 5 - 5. Let t(l) be the second derivative of -4/3*l**3 + 0*l**2 + z + 12*l - 1/3*l**4. Factor t(w). -4*w*(w + 2) Factor 176/3 + 16*d**2 + 1/6*d**3 - 182/3*d - 1/6*d**4. -(d - 8)*(d - 2)**2*(d + 11)/6 Suppose -2167/3*t + 482/3 - 3*t**2 = 0. Calculate t. -241, 2/9 Suppose 0 = -n + 4*v - 3*v + 3, -3*n + 4*v + 8 = 0. Factor 1 - 15*b**n + 10*b**4 - 2*b**2 + 6*b**4. (b - 1)**2*(b + 1)**2 What is d in -108/19*d - 224/19 + 2/19*d**2 = 0? -2, 56 Let f(m) = m + 59. Let a be f(-35). Suppose 17*i - 29*i = -a. Factor -12/5 - 2/5*j**i - 14/5*j. -2*(j + 1)*(j + 6)/5 Let o = 83/2534 + 114987/48146. Determine a so that -18/19*a**4 + 2/19*a**5 + 72/19 - o*a**2 + 54/19*a**3 - 48/19*a = 0. -1, 2, 3 Factor -1758/11*v + 592/11*v**2 + 0 - 2/11*v**3. -2*v*(v - 293)*(v - 3)/11 Determine a, given that 1016/7*a - 6414/7*a**3 - 1804/7*a**2 + 400/7*a**5 - 1850/7*a**4 + 48 = 0. -2, -2/5, -3/8, 2/5, 7 Factor 1324*q**2 + 2*q**4 - 97*q**2 + 273*q**3 - 3136*q - 54*q**3 + 117*q**2 - 111*q**3. 2*q*(q - 2)*(q + 28)**2 Let b(u) = u**3 - 40*u**2 + 78*u - 67. Let y be b(38). Let l be ((-6)/y)/(4/(-8)). Determine n, given that 0*n**2 - 14/9*n + 2/9*n**3 - l = 0. -2, -1, 3 Suppose -4*y - 3*d + 26 = 0, 5*y = 6*y + 3*d - 11. Let j be y/12 + 7/(-28). Factor 4*l**4 - 8/3*l**5 - j*l - 1/6*l**3 + 0 - l**2. -l*(l - 1)**2*(4*l + 1)**2/6 Let u = 34 - -9. Let c = u + 732. Determine p so that 46*p - 5 - c*p**2 - 7 + 761*p**2 = 0. 2/7, 3 Let d = -34 + 38. Suppose 0 = d*l + 6*l - 20. Find g such that -2/5 + 9/5*g**l - g - 7/5*g**4 + g**3 = 0. -1, -2/7, 1 Let m(c) = c**3 + 16*c**2 - 39*c - 57. Let o be m(-18). Let p be (o + 34/14)*(-35)/30. Determine u so that -p*u - u**3 + 0 - 5/3*u**2 + 1/3*u**4 + 1/3*u**5 = 0. -1, 0, 2 Let r be 8 + -10 + 4 + -5. Let t be (-2 - r/(-6)*-4)/1. Suppose t + 1/5*p**2 + 0*p + 1/10*p**4 + 3/10*p**3 = 0. What is p? -2, -1, 0 Let w(g) = -51*g**2 - 246*g - 63. Let o(z) = -76*z**2 - 370*z - 96. Let h(p) = 5*o(p) - 8*w(p). Factor h(y). 2*(y + 4)*(14*y + 3) Let t(q) = -q**2 + 21*q - 12. Let d(z) = 5*z**2 - 85*z + 44. Let v(a) = -3*d(a) - 11*t(a). Let v(i) = 0. Calculate i. 0, 6 Let h(v) = -v**2 - 108*v - 2316. Let n(s) = s**2 + 106*s + 2314. Let d(o) = -5*h(o) - 6*n(o). Factor d(z). -(z + 48)**2 Suppose -28*l + 210 = -22*l. Let u(a) = 505*a**3 - 995*a**2 - 205*a. Let j(t) = -42*t**3 + 83*t**2 + 17*t. Let q(h) = l*j(h) + 3*u(h). Factor q(n). 5*n*(n - 2)*(9*n + 2) Let a be (14/(-4))/(2172/(-732) - -3). Let o = 113 + a. Suppose 0 - 2*v**2 + v - 55/4*v**3 - o*v**4 = 0. Calculate v. -2, -2/5, 0, 1/5 Let m be ((-1)/(2/10))/((-40)/16). Factor -35 - 48*z + 4*z**3 - 38 - 7 + 36*z**m. 4*(z - 2)*(z + 1)*(z + 10) Let u(h) be the second derivative of 3*h**5/100 + 101*h**4/5 + 20402*h**3/5 + 477*h - 2. Factor u(x). 3*x*(x + 202)**2/5 Let y = -672299 - -672299. Let 3/2*k**3 + 0 + y*k - 3/2*k**2 = 0. Calculate k. 0, 1 Let h(x) be the second derivative of x**7/231 - 4*x**6/165 - x**5/110 + 8*x**4/33 - 4*x**3/11 - 4234*x. Determine t so that h(t) = 0. -2, 0, 1, 2, 3 Let h(x) be the second derivative of x**6/20 - 3*x**5/10 - 3*x**4/8 + 7*x**3/2 - 6*x**2 - 3*x + 82. Determine j, given that h(j) = 0. -2, 1, 4 Let c(y) = 19*y**2 - 2548*y + 1615423. Let u(z) = 79*z**2 - 10193*z + 6461689. Let k(b) = -25*c(b) + 6*u(b). Find h such that k(h) = 0. 1271 Let l(v) = -v**2 - 9*v + 5. Let x be l(-14). Let q = 67 + x. Factor 2*g - 2*g**3 + 3 + 1 + 66*g**2 - 70*g**q. -2*(g - 1)*(g + 1)*(g + 2) Let u = 50 - 45. Let c be -4 + 40/12 + (-1694)/(-3). Factor -3*i**3 + 12*i - 3*i**u + 0*i**4 - c*i**2 + 534*i**2 + 24 + 12*i**4. -3*(i - 2)**3*(i + 1)**2 Let o(a) be the second derivative of -1/75*a**6 + 0 + 0*a**2 + 4/5*a**3 + 142*a + 2/15*a**4 - 3/50*a**5. Factor o(r). -2*r*(r - 2)*(r + 2)*(r + 3)/5 Let k(a) be the first derivative of 5/22*a**4 + 52 + 0*a - 4/11*a**2 - 16/33*a**3. Factor k(n). 2*n*(n - 2)*(5*n + 2)/11 Factor -154*o**2 - 542/7*o**3 - 538/7*o - 2/7*o**4 + 0. -2*o*(o + 1)**2*(o + 269)/7 Let m = -13 + 28. Let j = -623 - -629. Find l such that 6*l + l**3 + j*l + 2 - m*l = 0. -2, 1 Let v be 53 + (-4 - -4) + 3. Factor 0*z**3 + 4 - 8 + 15*z**2 + 20*z - v - 5*z**3. -5*(z - 3)*(z - 2)*(z + 2) Let z(n) be the second derivative of -5 + 529/7*n**2 + 1/42*n**4 + 46/21*n**3 - 13*n. Factor z(o). 2*(o + 23)**2/7 Factor 2/11*l**2 - 292/11*l + 10658/11. 2*(l - 73)**2/11 Suppose -x = -5*t + 27, -1716*t + 1713*t - 28 = 2*x. Let 16/3*z**t + 0 + 4*z**3 + 2*z + 0*z**4 - 2/3*z**5 = 0. Calculate z. -1, 0, 3 Factor -10*s**2 + 11*s**2 + 276*s + 268 - 657*s + 245*s. (s - 134)*(s - 2) Let x(j) = -j + 27. Let l be x(19). Suppose -l*p - 2*p + 220 = 0. Find h, given that -p*h**3 + h**5 + 2*h**4 - 285 + 16*h + 6*h**2 + 5*h**5 + 277 = 0. -2, -1, 2/3, 1 Let -1/5*i**2 - 58 - 291/5*i = 0. What is i? -290, -1 Let s(i) be the first derivative of -12*i - 51 - 2/3*i**3 + 5*i**2. Factor s(r). -2*(r - 3)*(r - 2) Let s be (-4)/20 - 22/(-10). Suppose -200*i + 60 + 14*i**4 - i**3 - 39*i**4 - 5*i**5 + 125*i**s + 20 + 26*i**3 = 0. What is i? -4, 1 Let q(p) be the second derivative of -10/3*p**3 + 0*p**2 + 9/2*p**4 - p - 11 - 5/2*p**5 - 1/21*p**7 + 3/5*p**6. Solve q(s) = 0 for s. 0, 1, 2, 5 Let k be (-7)/(-2)*(4 - 2). Let n be (49/28)/k + 14/8. Determine d so that 66 + 61 - d**n - 124 + 2*d = 0. -1, 3 Let r(w) be the second derivative of -w**4/
{ "pile_set_name": "DM Mathematics" }
c**2 + 3*c - 27. Let n(v) = -2*v**2 - 3*v + 22. Determine 6*n(f) + 5*q(f). 3*f**2 - 3*f - 3 Let m(x) = -191*x - 15. Let i(n) = 96*n + 8. Calculate 11*i(z) + 6*m(z). -90*z - 2 Let x(j) = 1. Let c(v) = 7*v + 9. Let a(m) = c(m) - 4*x(m). Let o(z) = 4 + 2 - 7 - 7 - 11*z. Determine -8*a(p) - 5*o(p). -p Let n(l) = 6*l + 1. Let v(o) = -26*o + 16. Calculate -4*n(k) - v(k). 2*k - 20 Suppose -2*o + n - 6*n - 23 = 0, 0 = 5*o - n + 17. Let i(c) = -c**2. Let j(p) = -2*p**3 + 4*p**2 + 4 + 4*p - 2 - 3 - 3*p. Calculate o*i(a) - j(a). 2*a**3 - a + 1 Let b(i) = i**3 + 3*i - 1. Let c(t) = -9*t + 96. Give 3*b(h) + c(h). 3*h**3 + 93 Suppose -2*t + 3*t = 2. Let q(b) be the first derivative of 3*b + 2 - t - b**2 - 5. Let l(z) = 6*z - 8. Give 5*l(x) + 14*q(x). 2*x + 2 Let t(m) = 8*m**2 - 5*m + 5. Let z(d) = d**2 - d + 1. Suppose -27*g + 7*g - 100 = 0. Calculate g*z(u) + t(u). 3*u**2 Let f(m) = 5*m**3 + 3*m**2 - 3*m - 3. Let i(x) = 10 + 6*x - 2*x**2 + 4*x - 16*x**3 - 5*x**2 - 3*x**2. Let t = 83 - 103. Calculate t*f(r) - 6*i(r). -4*r**3 Let p(x) = -x**3 - 3*x**2 - 5*x - 7. Let i(m) = m**3 + 4*m**2 + 6*m + 8. Calculate -6*i(z) - 7*p(z). z**3 - 3*z**2 - z + 1 Let k(j) = 5*j - 94. Let q(l) = -12*l + 187. Give 7*k(o) + 3*q(o). -o - 97 Let j(n) = 5170*n - 4606. Let q(a) = -47*a + 42. Calculate -3*j(f) - 329*q(f). -47*f Suppose -7*r = -5*r. Let o(u) = 5*u - 3. Let a be o(r). Let f(w) = w - 1. Let k(m) = -5*m + 2. What is a*f(z) - k(z)? 2*z + 1 Let u = -1312 - -1315. Let v(g) = 5*g**3 - 2*g**2 + 2*g + 2. Let t = -1 - 1. Let y(i) = 6*i**3 - 3*i**2 + 3*i + 3. Calculate t*y(a) + u*v(a). 3*a**3 Let o(s) = -35916*s**3 - 656*s - 656. Let g(r) = -164*r**3 - 3*r - 3. Calculate 656*g(d) - 3*o(d). 164*d**3 Suppose 7*c + 5*d - 8 = 0, 6*c + d = 3*c + 8. Let x(i) = 3*i + 3. Let u(y) = -7*y - 7. What is c*u(z) + 9*x(z)? -z - 1 Let i be (2 + -18)*2/(-4). Let w(y) = 4*y**2 - 3*y + 8. Let m(z) = z**2 - z + 3. Calculate i*m(n) - 3*w(n). -4*n**2 + n Let n(d) = -d - 6 + 1 + 7 + 0. Let u(m) = -m + 8*m - 5*m - 4. Let y(t) = -t**2 - 5*t - 4. Let j be y(-5). Calculate j*u(r) - 7*n(r). -r + 2 Let g(w) = 6*w**3 - 16*w**2 + 16*w - 16. Let n = -281 - -180. Let q = n + 117. Let j(x) = -x**3 + 3*x**2 - 3*x + 3. What is q*j(d) + 3*g(d)? 2*d**3 Let y = 10 + -2. Suppose 2*w - b - 1 = 0, -w - 22 = y*b - 4*b. Suppose 162*d = 174 - 12. Let j(a) = a. Let p(q) = 3*q + 1. Determine d*p(m) + w*j(m). m + 1 Let j be (0 - (-12)/9)*3 + 2. Let m(q) = q + 5. Let c(u) = u + 6. What is j*m(i) - 5*c(i)? i Let z = 68 - 71. Let b(o) = o. Suppose 6 = 2*d - d. Let m(i) = -3*i + 20. Let p(v) = v - 7. Let n(t) = d*m(t) + 17*p(t). What is z*b(s) - 2*n(s)? -s - 2 Let f(w) = 45*w + 2. Let c(t) = -92*t - 4. Give 6*c(m) + 13*f(m). 33*m + 2 Let f(v) = -335*v**2 + 8*v - 17. Let i(m) = -112*m**2 + 3*m - 6. What is -6*f(z) + 17*i(z)? 106*z**2 + 3*z Let u(g) = 4*g**3 + 7*g**2 + 53*g - 1. Let v(n) = -11*n**3 - 20*n**2 - 160*n + 3. Give -17*u(l) - 6*v(l). -2*l**3 + l**2 + 59*l - 1 Let n(q) = 5*q - 1. Let x(j) = -2*j + 7*j + j - 2. Suppose -2*f = 3*z - 4, -61*f - 5*z = -63*f - 28. Calculate f*n(c) + 3*x(c). -2*c - 2 Let q(i) = -8*i - 12. Let t(o) = 7*o + 13. Determine -6*q(j) - 5*t(j). 13*j + 7 Let z(f) = -8*f**3 + 2*f**2 + 2. Let q(r) = 10*r**3 + 2*r**2 + 3*r - 1. Let s(a) = 3*a**3 + a**2 + a. Let o(x) = q(x) - 3*s(x). Determine -2*o(h) - z(h). 6*h**3 Let b(c) = 3*c. Suppose -2*z - 3*z = -30. Suppose z*v - 2*v - 20 = 0. Let h(n) be the second derivative of n**3/2 + 97*n. Give v*h(p) - 4*b(p). 3*p Let r(j) = -36*j - 25. Let q be r(-1). Let c(z) = -16*z - 41. Let y(o) = 3*o + 8. Calculate q*y(t) + 2*c(t). t + 6 Let b(p) = -22*p**3 + 34. Suppose -21 = -3*v + 183. Let x(u) = -2*u**3 + 3. Let w be 19/(171/(-60)) + 4/6. Calculate v*x(z) + w*b(z). -4*z**3 Let i(n) = 9*n - 1. Let u(x) = 2 - 6*x + 9*x - 7*x - 10*x. Determine 8*i(o) + 5*u(o). 2*o + 2 Let n(q) = -4. Let v(f) = -144*f + 57. Determine -15*n(i) - v(i). 144*i + 3 Let m(o) = 15*o**3 - 2*o**2 + 7*o - 11. Let z(x) = -7*x**3 + x**2 - 3*x + 6. Calculate 2*m(g) + 5*z(g). -5*g**3 + g**2 - g + 8 Let y(z) be the third derivative of z**5/120 - 7*z**4/24 + 3*z**2. Let m(n) be the second derivative of y(n). Let r(g) = -g + 4. Calculate -4*m(s) + r(s). -s Let t(r) = 863*r**2 + 4*r. Let x(d) = 2066883*d**2 + 9581*d. Give -9581*t(l) + 4*x(l). -871*l**2 Let l(v) = 4*v + 4 + 1 - 2. Let t(p) = -5*p - 4. Suppose 2*q + 2*b - 22 = 0, -3*q = -4*b + 22 - 62. Let u = -9 + q. Determine u*l(x) + 2*t(x). 2*x + 1 Let u(s) = -5*s - 1. Let l(q) = q. Suppose 0 = 8*o - 4 - 12. Give o*l(a) + 2*u(a). -8*a - 2 Let t(d) = 21*d**2 + 7*d - 1. Let p(f) = 21*f**2 + 7*f. Determine 3*p(l) - 2*t(l). 21*l**2 + 7*l + 2 Let k(t) = 254*t + 11. Let m(d) = 127*d + 6. Determine -6*k(q) + 11*m(q). -127*q Let w(j) = 2*j**3 + j**2 + 18*j + 1. Let u(t) = -2*t**2 - t + 2. Determine -u(h) - w(h). -2*h**3 + h**2 - 17*h - 3 Let l(p) = -p**2 - 4*p - 645. Let a(d) = -2*d**2 - 6*d - 646. Give 2*a(r) - 3*l(r). -r**2 + 643 Let d(p) = -4*p - 6. Let l be d(-6). Let f be (3/(l/3))/(6/(-60)). Let s(a) = -a**2 + a + 2. Let m(y) = 3*y**2 - 3*y - 5. Calculate f*s(o) - 2*m(o). -o**2 + o Let u(a) = -1. Let n(h) = h - 3. Let i(c) = -c**2 - 53*c - 244. Let v be i(-5). Calculate v*u(j) + n(j). j + 1 Let g(q) = 5*q + 5. Let s = -13 - -15. Suppose s*d - 13 = -y + 4, 4*d + 1 = 3*y. Let i(t) = -2 + t - y*t + 4*t. Give 3*g(v) + 7*i(v). v + 1 Let w(a) = 4*a - 2*a - 4*a + 5*a - 4*a. Let t(s) be the third derivative of -s**4/6 + s**3/2 + 2*s**2. Give t(n) - 6*w(n). 2*n + 3 Let f(k) = -361*k**3 - 5*k + 11. Let o(r) = -72*r**3 - r + 2. Give 2*f(p) - 11*o(p). 70*p**3 + p Let v(y) = -4*y + 5. Suppose -h + 3*x = -6, x + 3*x - 11 = -5*h. Let u(o) = -1 - 4 + 4*o - h + 4. What is 5*u(k) + 4*v(k)? 4*k Suppose -51 + 33 = -3*o. Let j(n) = -25*n. Let u(p) = 4*p. Give o*j(b) + 39*u(b). 6*b Let k(q) = 232*q + 2. Let f(l) = 239*l + 2. Give 3*f(d) - 2*k(d). 253*d + 2 Let v(w) = -4*w. Let k(i) = -1302*i. Calculate -4*k(z) + 1240*v(z). 248*z Let m(g) = g**2 - 4. Let y(l) = l**2 - 3. Let o(h) = -h - 1 - 3 - 1 - 3. Let q be o(-4). Give q*m(c) + 5*y(c). c**2 + 1 Let v(q) = -3*q + 4*q**2 - 1 + 1 + 2 + 0 - 1. Let w(f) = -8*f**2 + 7*f - 3. What is 5*v(m) + 2*w(m)? 4*m**2 - m - 1 Let v be 3 + ((-134)/2 - 0). Let n = 67 + v. Let f(o) = 4*o - 1. Let z(g) be the first derivative of -5*g**2/2 + g - 1. Calculate n*f(q) + 2*z(q). 2*q - 1 Let t(f) be the third derivative of 0*f + 0 - 2/3*f**3 + 13*f**2 + 1/20*f**5 + 1/6*f**4. Let s(x) = -x + 1. What is -4*s(d) - t(d)? -3*d**2 Let l(u) = 81*u**2. Let v(i) = i**2. Determine l(n) - 18*v(n). 63*n**2 Let x(w) = -61*w**2 - 6*w - 4. Let k(n) = -2*n**2 + n + 1. Calculate -6*k(v) - x(v). 73*v**2 - 2 Let c(s) = -6*s**3 - 11*s**2 - 8*s - 20. Let f(t) = -2*t**3 - 4*t**2 - 3*t - 6. Give -3*c(x) + 8*f(x). 2*x**3 + x**2 + 12 Let j(y) = 441*y**3 - y**2 + 9*y + 2. Let i(c) = -441*c**3 + c**2 - 12*c - 3. What is -3*i(m) - 4*j(m)? -441*m**3 + m**2 + 1 Suppose 0 = z - 5 - 1. Let w(i) = 2*i + 5. Let y(l) be the first derivative of -l + 73. Give z*y(b) + w(b). 2*b - 1 Let v(h) = h - 1. Let u(y) = -33*y - 6. Let x(a) = u(a) + 6*v(a). Let o(l) = 2*l - 4*l - 9*l - 5. Determine 12*o(s) - 5*x(s). 3*s Let v(t) = -435*t + 2. Let c(i) = -439*i + 2. What is -7*c(z) + 6*v(z)? 463*z - 2 Let g(i) = i. Let o be (-5)/1*(1 - 2). Let y = o + -4. Let d(n) = -1. Let m be (-1 - 16/4) + 3. Determine m*g(j) + y*d(j). -2*j - 1 Let w(l) = 4*l**2 + 6*l - 5. Let g(q) = 7*q**2 + 11*q - 9. Suppose 90 + 9 = 9*p. What is p*w(h) - 6*g(h)? 2*h**2 - 1 Let i = -2 - 0. Let n = i - -1. Suppose -2*c = -3*k + 6*k - 13, c = -3*k + 14. Let s(m) = -m**2 - m - 1. Let q(d) = -d**3 + d + 1. Calculate c*s(b) + n*q(b). b**3 + b**2 Let h = -29 - -31. Let z(m) = 6 + 0 - 2 + h - 3*m. Let f(t) = -2*t + 5. What is 5*f(d) - 4*z(d)? 2*d + 1 Let x(t) = -24*t + 2*t - 1 - t + 6*t + 16*t. Let c(o) = 2*o**2 - 2*o - 2. What is -3*c(v) + 6*x(v)? -6*v**2 Let z(a) = -31*a - 7. Let p(m) = -29*m - 4. Calculate 3*p(d) - 2*z(d). -25*d + 2 Let d(w) = 1. Let r(v) = 129*v**2 - 402*v**2 + 130*v**2 - 8 + 131*v**2. What is 8*d(m) + r(m)? -12*m**2 Suppose 0 = -4*c - 2*d - 18, 4*d - 15 = 2*c - d. Let y(x) = 19*x**2 - 5*x**2 - x - 10*x. Let j(z) = 9*z**2 - 7*z. Calculate c*y(n) + 8*j(n). 2*n**2 - n Let u(j) = -5*j + 7. Let v(w) = w + 1. Give
{ "pile_set_name": "DM Mathematics" }
f(o) = -76*o - 69. Calculate 7*f(q) + 2*n(q). -78*q - 85 Let w(j) = 6*j**2 - 2. Let c(a) = -2879*a + 2878*a + 240*a**2 - 239*a**2. Give 4*c(z) - w(z). -2*z**2 - 4*z + 2 Let q(t) = 511*t**2 - 3*t. Let l(i) = 39*i**2 + i. Determine 2*l(d) + q(d). 589*d**2 - d Let f(q) = -70*q**3 - 34*q**2 - 5*q. Let u(s) = 141*s**3 + 62*s**2 + 9*s. Give -11*f(m) - 6*u(m). -76*m**3 + 2*m**2 + m Let r(j) = -j + 2. Let s = 141 + -146. Let t be (-49)/42*-6 + s. Let c(g) = -2. Give t*r(m) + c(m). -2*m + 2 Let u(t) be the first derivative of 9*t**4/2 + 2*t**3 - 4*t**2 - 6*t - 7620. Let a(l) = 53*l**3 + 17*l**2 - 23*l - 17. Determine -6*a(v) + 17*u(v). -12*v**3 + 2*v Let x(d) = -3886 + d + 3886. Let l(k) = 5*k**2 + 9*k - 6. Let q(w) = 2*l(w) - 6*x(w). Let f = -13 - -14. Let m(i) = -i**2 - i + 1. Calculate f*q(t) + 12*m(t). -2*t**2 Let t(r) = -203*r**2 - 47*r + 11. Let s(g) = 101*g**2 + 19*g - 5. Determine 5*s(m) + 2*t(m). 99*m**2 + m - 3 Let g(y) = -159*y**3 + 4*y**2 - 15*y - 11. Let o(h) = 317*h**3 - 10*h**2 + 25*h + 18. Calculate -5*g(r) - 3*o(r). -156*r**3 + 10*r**2 + 1 Let z(r) = r**3 - 2*r**2 - 2*r. Let y(a) be the second derivative of a**4/4 + a**3/2 - 12812*a. What is -4*y(v) - 6*z(v)? -6*v**3 Let f(v) = 14478613*v - 37256. Let h(m) = 4663*m - 12. Calculate 3*f(o) - 9314*h(o). 4657*o Let z(c) = -2*c**3 + 10*c**2 - 1540. Let o(t) = -2*t**3 + 12*t**2 - 1545. Give 5*o(y) - 6*z(y). 2*y**3 + 1515 Let o(r) = -4471*r + 6 + 2236*r + 2233*r. Let c(q) = -2*q + 6. Determine 3*c(x) - 4*o(x). 2*x - 6 Let p(k) = -339*k**2 - 27. Let z(w) = 3 + 5 + 0 + 15*w**2 + 11*w**2 - 6. Give 2*p(s) + 27*z(s). 24*s**2 Let r(o) = -24*o - 5. Suppose c - 43 = 3*i - 28, 0 = -4*i - 3*c - 33. Let b(g) = 25*g + 6. Determine i*r(j) - 5*b(j). 19*j Let o(l) = -l**3 - 8*l - 10. Let b(z) = -3*z**3 - 23*z - 29. Let t be ((-102)/(-18))/((-9)/(-27)). Determine t*o(q) - 6*b(q). q**3 + 2*q + 4 Let s(q) be the third derivative of 5*q**4/24 - 2*q**3/3 + 957*q**2 - q. Let v(k) = 15*k - 12. What is 11*s(f) - 4*v(f)? -5*f + 4 Let a(o) be the third derivative of 0 + 1/60*o**5 + 0*o**3 - 5*o**2 - 1/12*o**4 + 0*o. Suppose 0*g - 2*g - 4 = 0. Let j(c) = -c**2 + 1. Calculate g*j(m) - a(m). m**2 + 2*m - 2 Let q(j) = -2*j**2 - 22*j + 207. Let v be q(6). Let m(l) = l. Let n(z) = -8*z**3 - 3*z + 1. Calculate v*m(p) + n(p). -8*p**3 + 1 Let r(t) = -20*t + 147. Let u(s) = -21*s + 122. Calculate -2*r(o) + 3*u(o). -23*o + 72 Let d(k) = k + 15. Let c = 14209 + -14214. Let g(y) = y + 8. Calculate c*g(q) + 3*d(q). -2*q + 5 Let j(c) = -922*c**3 + 2766*c**2 - 1383*c - 1383. Let x(y) = y**3 - 2*y**2 + y + 1. What is -2*j(s) - 2766*x(s)? -922*s**3 Let j be (0 - 11/(-4))*(-122 - -130). Let g(o) = -5*o**3 - 5*o + 5. Let q = 2 + 2. Let s(a) = a**3 + a - 1. Calculate j*s(c) + q*g(c). 2*c**3 + 2*c - 2 Let y(i) = -i**2 + i - 1. Suppose z = 44 - 45, 5*w = 7*z - 3. Let l(f) = f**2 + f. Give w*l(j) + y(j). -3*j**2 - j - 1 Let h(x) = 7*x**3 + 36*x**2 - 19*x + 5. Let d(i) = 7*i**3 + 42*i**2 - 21*i + 6. Give -5*d(j) + 6*h(j). 7*j**3 + 6*j**2 - 9*j Let g(r) be the first derivative of -r + 8. Let i(s) = -3*s - 5. Let y = -7157 - -7158. Determine y*i(p) - 3*g(p). -3*p - 2 Let t(g) = 294*g**3 - 2*g + 7. Let v(m) = -295*m**3 + 3*m - 11. Determine -3*t(w) - 2*v(w). -292*w**3 + 1 Let g(o) = o**2 + o - 1. Let w(c) = -c**2 - 5*c + 60. Calculate 3*g(x) + w(x). 2*x**2 - 2*x + 57 Let c(n) = -34*n - 2722. Let y(o) = -74*o - 5446. What is -13*c(l) + 6*y(l)? -2*l + 2710 Let l(o) = 13*o**2 + 15*o - 6. Let c(x) = -3*x + 3. Calculate -4*c(f) - 2*l(f). -26*f**2 - 18*f Let a(b) = 2*b + 4. Let f(v) = -7139*v - 12980. Calculate 3245*a(j) + f(j). -649*j Let h(g) = -756484579*g**3 + 277933*g**2 - 277933*g - 555866. Let q(t) = -16331*t**3 + 6*t**2 - 6*t - 12. Determine 6*h(v) - 277933*q(v). 16349*v**3 Let g(r) = 9*r. Let b(w) = 18 + 9 - 42 + w + 16. Calculate 5*b(q) - g(q). -4*q + 5 Let x be -5 + 2 + 4 + 240/6. Suppose -5*v + 5*f = -10, 0 = v - 5*f - 59 + x. Let y(z) = -5*z**3 + 2*z**2. Let n(p) = -26*p**3 + 11*p**2. Give v*n(o) + 11*y(o). -3*o**3 Suppose 12*j = -306 + 330. Let k(c) = -21*c**2 - 3*c + 7. Let z(q) = 10*q**2 + q - 3. Calculate j*k(v) + 5*z(v). 8*v**2 - v - 1 Let y(v) be the first derivative of -v**4/12 - v**2/2 + 166*v + 190. Let r(w) be the second derivative of y(w). Let l(j) = j. Determine -4*l(p) - 5*r(p). 6*p Let j(w) = 957*w - 6. Let z(d) = -5741*d + 38. Calculate 13*j(r) + 2*z(r). 959*r - 2 Let a(u) = u**3 + 2*u**2. Let l = -12244 + 12246. Let z(r) = 2*r**3 + 5*r**2. Calculate l*z(i) - 5*a(i). -i**3 Let u(l) = -5*l + 1. Let t(g) = 4*g - 1. Let a(h) = 6*t(h) + 5*u(h). Let w(j) be the second derivative of 8/3*j**3 + 34 + 3*j + 6*j**2. What is 12*a(n) + w(n)? 4*n Suppose f + 4*a - 7 = 7, -2 = -a. Let r(y) = y + 10. Let w(z) be the third derivative of z**3/6 + 41*z**2 + 2. Determine f*w(t) - r(t). -t - 4 Let t(s) = -6*s**3 + 14*s**2 - 65*s + 8. Let u(a) = -4*a**3 + 8*a**2 - 32*a + 5. Determine 3*t(y) - 5*u(y). 2*y**3 + 2*y**2 - 35*y - 1 Let j(r) = 4*r**2 - 4*r. Suppose 328*z - 92*z + 236 = 0. Let v(f) = f**2 - f. What is z*v(w) + j(w)? 3*w**2 - 3*w Let v(s) = -10*s**3 - s**2 + s. Suppose -5*c + 11*b - 8*b = 23, 0 = c + b + 3. Let k(y) = 11*y**3 + 2*y**2 - 2*y. Give c*v(l) - 3*k(l). 7*l**3 - 2*l**2 + 2*l Let m(q) = -q. Let x(r) = 10*r + 6. Suppose 4*w + 30 = 41*f - 44*f, -3*f - 3*w = 27. Calculate f*m(z) - x(z). -4*z - 6 Let u(n) = 33264*n + 768. Let m(i) = -432*i - 10. Calculate -384*m(c) - 5*u(c). -432*c Let p(d) = -62*d**3 - 13*d**2 + 96*d - 6. Let m(q) = 20*q**3 + 4*q**2 - 32*q + 2. What is 10*m(c) + 3*p(c)? 14*c**3 + c**2 - 32*c + 2 Let b(p) = -224562*p - 104. Let o(n) = 6418*n + 3. Calculate -3*b(z) - 104*o(z). 6214*z Let i(j) = -5*j**2 - j - 15. Let z(f) = -22*f**2 - 5*f - 60. Calculate 9*i(g) - 2*z(g). -g**2 + g - 15 Let d(v) = -2*v**2 + 14*v + 8. Let f(j) = j**2 - 18*j - 8. Calculate 3*d(t) + 2*f(t). -4*t**2 + 6*t + 8 Let b(w) = -21*w + 510. Let g(r) = -9*r + 255. Determine -2*b(i) + 5*g(i). -3*i + 255 Let w(q) = -q**3 - q + 1. Let i(s) = -6*s**3 + 3*s**2 + 9*s + 3. Let x(l) = 9*l**3 - 4*l**2 - 13*l - 4. Let r(d) = 7*i(d) + 5*x(d). Calculate -2*r(m) + 2*w(m). -8*m**3 - 2*m**2 + 2*m Let r = 15 + -21. Let y(k) be the third derivative of 0 - 7*k**2 + 1/4*k**4 + 1/15*k**5 - k**3 - 15*k. Let j(n) = 3*n**2 + 5*n - 5. What is r*j(p) + 5*y(p)? 2*p**2 Let w(v) = -3*v**2 - v + 1. Let q(x) = 3378*x**2 + 563*x - 563. What is -q(j) - 563*w(j)? -1689*j**2 Let r(u) = -u**2 + 5*u - 6. Let v(s) = 116*s - 19. Let d(z) = -131*z + 22. Let b(x) = 8*d(x) + 9*v(x). Calculate -3*b(k) - 2*r(k). 2*k**2 + 2*k - 3 Let j(y) = -11*y**3 - 17*y**2 - 119*y + 17. Let k(o) = 2*o**3 + 3*o**2 + 20*o - 3. What is 6*j(q) + 34*k(q)? 2*q**3 - 34*q Let w(m) = -19*m**3 + 296*m. Let r(k) = -12*k**3 + 197*k. Give -8*r(q) + 5*w(q). q**3 - 96*q Let s(d) = -10*d - 18. Let r(n) = 11*n + 16. Give -3*r(c) - 4*s(c). 7*c + 24 Let p = 2763 + -2760. Let r(i) = i. Let z(g) = 5*g + 9. Calculate p*r(d) - z(d). -2*d - 9 Let h(c) = 168*c**2 - 64*c - 64. Let i(f) be the third derivative of 2*f**5/15 - f**4/8 - f**3/2 - 405*f**2. Calculate 3*h(b) - 64*i(b). -8*b**2 Let o(m) = -223*m**3 + 6*m**2 + 10*m - 10. Let w(g) = 223*g**3 - 6*g**2 - 12*g + 12. Calculate -6*o(u) - 5*w(u). 223*u**3 - 6*u**2 Let z(a) = 20*a + 6. Let y(w) be the first derivative of -10*w**2 - 5*w - 705. Give 6*y(k) + 5*z(k). -20*k Let n(i) = -i. Let p(s) = 5*s - 7. Suppose 31 = 23*t + 8. Suppose -8*k + 351 = 319. Give k*n(w) + t*p(w). w - 7 Let c(i) = -38*i**2 + 104*i - 43*i - 45*i - 17*i - 1 + 39*i**2. Let p(l) = 6*l**2 - 5*l. Determine 4*c(x) - p(x). -2*x**2 + x - 4 Let b(z) be the second derivative of -z**2/2 - 1303*z. Let l(j) = j - 24. Calculate -5*b(x) + l(x). x - 19 Let b(h) = -86*h - 27. Let w(u) = -3. Calculate b(p) - 4*w(p). -86*p - 15 Let f(r) be the second derivative of r**4/6 - r**2 + 3*r. Let j(m) be the third derivative of -1/6*m**3 + 0 + 3*m**2 + 0*m. Calculate -f(i) + 4*j(i). -2*i**2 - 2 Let q be 48/16 + -9 + -1 + 2. Let a(z) = -8*z**2 + 15*z - 6. Let s(o) = 7*o**2 - 15*o + 5. Give q*a(k) - 6*s(k). -2*k**2 + 15*k Let t(l) = 531*l + 8. Let z(h) = -15399*h - 236. What is -118*t(m) - 4*z(m)? -1062*m Let p(n) = -n**2 + n + 1. Let m(h) = 4 - 238*h**2 + 728*h**2 - 242*h**2 - 3*h - 5 - 242*h**2. What is -m(a) - 2*p(a)? -4*
{ "pile_set_name": "DM Mathematics" }
+ u = 3*a for x. -5 Suppose -4*u = 2*g + 294, 134*u - 130*u = 3*g - 299. Suppose -5*b - 5*t + 507 = 52, 93 = b + 2*t. Let r = u + b. Solve i + r = 5*m, 5*i = m + 3*i - 12 for m. 2 Let d = -63 + 90. Suppose -d*s = -25*s - 4. Solve -t - 18 = -5*j, s*t = -5*j - t + 26 for j. 4 Let f(k) = 3*k**2 - 17. Let d be f(-7). Let h = 133 - d. Suppose 0 = 3*b - 2*b + 4*t + 8, -2*t + 6 = h*b. Solve -b*c - 2*l = 4, 3*c = 5*l + 3 + 7 for c. 0 Suppose c = s, -s + 5 = -4*c + 2. Let n = s + 4. Suppose 0 = 2*d - d + 1, -5*d - 105 = -5*m. Solve 0*r - 5*r - m = 4*w, -n*w + r = -4 for w. 0 Let f be 7 + 0 + (7 - -6 - -1 - 16). Solve -38*k + 40*k - 2 = -f*b, 3 = 4*b + 3*k for b. 0 Let f = 385 + -200. Suppose -3*a + 8*a = f. Let c = -13627 - -13632. Solve -2*b - 1 = v + 5, -3*v = -c*b - a for v. 4 Let d(h) = -83*h + 5727. Let v be d(69). Let q be -1*(-2 - (-2 - -4)). Solve -5*j + 22 = 2*t, 4 = q*t - v for j. 4 Suppose -2*s = -3*w + 4*w - 141, 3*s + 4*w - 209 = 0. Let r = s + -68. Solve -16 = 4*b, -2*g + 0*g = -r*b - 16 for g. 2 Let v = -404 - -622. Let o = v + -208. Suppose -3*f + 15 - 3 = -3*p, 15 = 4*f - 3*p. Solve 5*t + 0*t = -m - 22, -o = -m + f*t for m. -2 Let g = 3257 - 3254. Solve -g*m + 2*b + 11 = 0, 2*m - 2*b - 13 = -3*m for m. 1 Let m = 3331 + -3327. Solve 5*s - 44 = m*k, -26*s + 4 = -2*k - 28*s for k. -6 Let p(o) = -6*o**2 + 167*o - 269. Let g be p(26). Solve 2*q - 10 = -2*n, 20*n + 10 = g*n + 2*q for n. 0 Suppose -v + 4*o + 10 = 0, v - 43 = o - 36. Let k = 93 - 89. Solve -3*z - r = v + 2, -2*z - 3*r = -k for z. -4 Let k(l) be the first derivative of -17*l**2/2 - 51*l + 45. Let u be k(-3). Solve 0*p + 3*p + 2*o - 4 = u, -20 = 5*o for p. 4 Let s be 2*36/4 + (32 - 28). Solve -5*t - 8*i = -10*i - 13, s = 2*t - 5*i for t. 1 Suppose 2*w = -2*w + 4*r + 140, 5*w = -r + 199. Let c = 41 - w. Suppose -1 = -c*f + 13. Solve -x - 3*n = -14, 2*x + 3*n - 6 = f for x. -1 Let z(c) = 248*c + 5288. Let u be z(-21). Solve 3*v + u = 4*m + 77, v + 5 = 0 for m. -3 Suppose 3*q + 4*z = 72, -4*q = -895*z + 892*z - 146. Solve 0 = x - j + 30 - q, -5*x + 26 = 3*j for x. 4 Suppose -135 + 255 = 30*k. Solve -23*v + 21*v + 10 = -4*f, 4*v - 16 = k*f for v. 3 Let x(g) = 4*g**2 + 2*g - 1. Suppose -4*r + 4 = -11*k + 10*k, -3*r = 4*k - 3. Let i be x(r). Solve -1 + 46 = 5*o - 4*y, -4*o = 3*y - i for o. 5 Let t(h) = 94*h - 30. Let f be t(1). Suppose f*y - 1334 = 6*y. Solve y = -w - 5*r, 5*r + 5 + 6 = 3*w for w. -3 Suppose p + 4*x = 6*p - 17, -3*p = x. Suppose p = h + 2*a - 9, -2*h - 12 = -4*a. Solve -4 = h*b + 2*i, 0*i - 3*i = -4*b - 8 for b. -2 Suppose 3118 = 8*p + 3094. Solve 2*u - 4*m = 5*u + 3, 2*u + 19 = p*m for u. -5 Let h be (17 - (-106)/(-8))*(-4)/(-3). Solve 5*q + 8 = -h*a + 3, 3*a + 3 = -5*q for a. -1 Suppose 7*w - 1983 - 1077 = -83*w. Solve c + h = 0, 2*h + w = 5*c + 27 for c. 1 Let s be 0/(-5 - (-2 + -5)). Let t = 4 + s. Let x(j) = 2*j**2 - 4*j + 1. Let o be x(4). Solve a = -3*a + 3*u + o, 18 = 3*a - t*u for a. 2 Let o = 22 - 32. Let t = o - 4. Let p(u) = -u - 9. Let j be p(t). Solve w - 5*r - j = -4*w, 3*r - 3 = 5*w for w. -3 Let s = -146 - -151. Suppose s*d - 2*d - 3 = 0. Solve 2*q = -g, 0 = 2*q - g - d + 5 for q. -1 Let i = -499 + 506. Suppose -5*q + 2*l = -i*q + 14, 2*l = 3*q + 4. Solve -5*o - 13 = d, -2*d - q*d - o - 14 = 0 for d. -3 Let p be 12/(-20) - (4 + (-1689)/15). Let s = -105 + p. Solve 4*m + 2*h + 0*h + 22 = 0, 5*m = -s*h - 28 for m. -5 Let g(b) = 7*b**2 - 2. Let x be g(1). Suppose x*c + 12 = 22. Let v be 0/(c*(4 + -3)). Solve 0 = -5*a - o - 6, -5*o - 5 = -v for a. -1 Let y(r) = r**2 - 3*r - 25. Suppose -683*w = -687*w + 28. Let t be y(w). Solve 4*f - v = 20, f - 6*f = t*v - 25 for f. 5 Let z(r) = 599*r + 3. Let f be z(0). Solve -4*k - 13 = -t, -2*t - k + 2 = f*t for t. 1 Let k(n) = -8*n - 40. Let j be k(-4). Let b be (1 - j/(-6))/(39/(-585)). Solve 8 = -4*m + c, -4*m + 3*c - b*c = 8 for m. -2 Let w = -387 + 393. Solve -9*j = -8*j + 4*f - w, -3*f = -3 for j. 2 Suppose -5*y + 990 = 17*y. Suppose -p = 5*u - y, -3*p = -0 + 15. Solve -26 = 5*g - 4*o, 5*g + u = o - 4 for g. -2 Let o be 1/(-14) - (-28565)/2030. Let c be (0 + 8/(-20))*-10. Solve -4*a + 3*k + o = 0, 3*a - k = 6*a - c for a. 2 Let m = -3832 + 3834. Solve -17 = 3*l + 2*h, 0 = -7*l + m*l - 3*h - 27 for l. -3 Let v(k) = -k**3 + 5*k**2 + 5*k - 8. Let a be v(-2). Solve -6*y + 2*y - a = -q, 4*y + 6 = 3*q for q. -2 Let m(b) = 11*b - 56. Let x be m(7). Let g = x - 19. Solve 5 = -5*q - g*y, -11 - 1 = -2*q + 2*y for q. 1 Let v = 3 - 3. Let s be v + -3*(-3)/3. Suppose -166*w = 144*w - 1550. Solve s*a + 3 - 18 = 0, -5*h - a = -w for h. 0 Let a = -8 - -10. Suppose 5*y = -x - 0*y - 4, -106 = 4*x + a*y. Let n = -27 - x. Solve 2*t = -5*s - 1, -s = t - n + 4 for t. -3 Suppose -16 = -128*x + 124*x, 5*x - 65 = -5*r. Solve -r*j - 3*l = -10*j - 17, 3*j + 1 = -l for j. -2 Suppose -14*t + 27 + 29 = 0. Suppose -3*n + 51 = t*d, 0 = d - 2*n + 6*n - 29. Solve h - 3 = 2*h - 5*j, -5*j = 2*h - d for h. 2 Let v(k) = -3*k**3 + 3*k**2 - k + 4. Let y be v(0). Solve -a + 2 + 15 = y*o, -4*o + 5*a = 13 for o. 3 Let l = -6110 + 6126. Solve -5*d + 18 = -3*y + l, -5*y = 4*d + 28 for y. -4 Let o(a) = -a**3 + 16*a**2 - 12*a - 41. Let g be o(15). Let h be 1*(-2)/(-6)*24/g. Solve 2*v + 3*q + 3 = 0, 3*q = h*v - 4 + 13 for v. -3 Suppose 5*p + 3*o - 2*o = 0, 0 = -2*p + 3*o. Suppose p = -19*c + 9*c + 20. Solve -4*m - n = 21, c*m + 4*n + 13 = n for m. -5 Suppose 2*k + 4*z = -14, -5*z + 4*z = -4*k + 8. Let r be k*-4*8/(-16). Solve t + r*u + 6 = -6, 14 = -2*t - 2*u for t. -2 Let q = -1 + 6. Suppose 2*t = -4*l + 30, 5 = -101*t + 102*t. Solve 2*v = 4*v - l*s - q, v + s = -1 for v. 0 Let z(n) = 3*n**3 - 6*n**2 - 7*n + 46. Let d be z(4). Let t = 119 - d. Solve -y + 4*h = 12, y = 2*h - t*h + 9 for y. 0 Suppose 2*t = u - 7, -19*t - 24 = -4*u - 13*t. Solve -20*l + 18*l + 2 = f, -11 = u*l + 5*f for l. 3 Let k = 7 - 5. Let t = -167 - -187. Suppose j = -t + 43. Solve -j = 5*h + k*v, -3*h = -2*h - 2*v + 7 for h. -5 Suppose -2*i - 12*v = -23*v + 5, -4*v = -5*i + 11. Solve -i*m + 8*m + 15 = 4*w, 4*m - 2*w + 12 = 0 for m. -3 Suppose 288 - 111 = 194*a - 405. Solve -91*t - 6 = -90*t - f, a*t + 5*f - 14 = 0 for t. -2 Suppose -8*n = -1406 + 1910. Let f = n + 63. Solve v = 3*q + 7, f = 6*q - q - 5*v + 5 for q. -3 Suppose -4*x + x - 6 = 4*h, 12 = 3*x - 2*h. Suppose -31077 + 6073 = 19*s. Let o = 1336 + s. Solve 3*j + 0*t = -x*t - 17, 4*j = -2*t - o for j. -3 Let u be 3*22/330 - 19/(-5). Solve -u*l + 14 = 3*m, 4 = -3*m + 2*l - 12 for m. -2 Suppose -m = -4*q - 34, -2*m - 12 = 2*q - 130. Suppose 0 = 4*k + 14*k - m. Solve 4*h - f + 26 = f, -3*h + k*f - 24 = 0 for h. -5 Let z(v) = -37 - 14 + 10*v - 21*v. Let y be z(-5). Suppose -5 = -y*n + 15. Solve -6 = 5*b + n*t + 14, -26 = -b + 5*t for b. 1 Let i(f) = 13*f + 35 + 15*f - 24*f. Let x be i(-9). Let r(h) = -6*h**3 - h**2. Let j be r(x). Solve -j = -3*d - 5*z, -4*d - 4*z + 31 = -7*d for d. -5 Suppose -13*b = 5*l - 18*b + 15, 0 = 3*l + 5*b - 31. Solve 0 = y - l, -4*f - 6*y - 12 = -8*y for f. -2 Let z be ((-616)/63)/(-4) - (-8)/(-18). Solve 3*m - 4*b + 7 = 0, 4 = -z*m - 4*b + 26 for m. 3 Let i = 1018 + -1010. Let s be (-20)/(-4 + 0)*-2. Let w be 3/((-5)/(s/3)). Solve -4*k - i - 16 = -3*q, 4*k = w*q - 20 for q. 4 Suppose -5*g = -2*j - 28, -16 = -2*g + 3*g + 5*j. Suppose 23*i - 3 = z + 20*i, 3*z = -5*i + 33. Solve -3 = 3*m + 3*u, 4*m + 2*u - z*u = g for m. 0 Suppose -h + 72 = 5*x, 3*x - 48 = -h + 2*h. Let g be ((5 + -20)/(-5))/(1/(16/6)). Suppose -g*y + 5*y + x = 0. Solve -5*v - i = -27, -v + 13 = -i + y*i for v. 5 Let l = -214 + 500. Let g be 11/(l/464) + 2/13. Suppose -9*q = -g - 0. Solve 5*c = -q*v + 20, 12 - 2 = 5*c for v. 5 Let t(s) = -s**3 + 4*s**2 + 13*s - 5. Let z be t(6). Let k = 2745 + -2743. Solve -3*q - v - z = -2, 2*q = -2*v + k for q. 0 Suppose 5 = 2*v - v. Suppose 8*c - 12 = v*c. Let i(t) = -12*t**3 + t**2 - 6*t - 7. Let q be i(-1). Solve l - c = 4*f, -5*f - 3*l = -2*f - q for f. 0 Let l be -2 + (0/(-4) - 3). Let o be l + 3 + -4 + 3 + 13. Suppose x - 10 = -x - 2*g, -5*x = -4*g - 7. Solve -o = 2*t + 3*t + 2*p, t = -x*p - 2 for t. -2 Let a(z) = -6*z - 108. Let f be a(-18). Suppose -4*i + 54 = -10. Solve 4*t = -f*b + 5*b - i, b = 0 for t. -4 Let w = -1587 - -1595. Solve 4*t - 2*t + 5*d = 10, -t + 4*d = w for t. 0 Suppose 12*h - 1
{ "pile_set_name": "DM Mathematics" }
+ 203116*a**2 - 609326*a**2. 22*a**2 Collect the terms in 1532*r**2 - 4576*r**2 - r + 7*r - 6*r + 1518*r**2 + 1527*r**2. r**2 Collect the terms in -11*p**2 - 77 + 98 - 54*p**2 - 16*p**3 + 17*p**3 - 21. p**3 - 65*p**2 Collect the terms in 13*j**2 - 313 + 144 + 788*j + 169. 13*j**2 + 788*j Collect the terms in 7353628873 - 540*a - 7353628873. -540*a Collect the terms in 21 - 18 + 2110*v**3 + 4207*v**3 + 843*v**3. 7160*v**3 + 3 Collect the terms in 924131*x**2 - 462282*x**2 - 461855*x**2. -6*x**2 Collect the terms in -6264*n**2 + 12534*n**2 - 6291*n**2. -21*n**2 Collect the terms in -466023*d - 1297944*d - 824665*d + 215952*d. -2372680*d Collect the terms in -90*i + 39*i - 54*i + 66*i. -39*i Collect the terms in 337223*w + 66*w**2 - 31*w**2 - 31*w**2 - 337223*w. 4*w**2 Collect the terms in -1 + 22834225*w**2 - 22835940*w**2 + 1. -1715*w**2 Collect the terms in -563 + q**3 + 180 - 20389*q + 20389*q + 189 + 194. q**3 Collect the terms in -13*k**2 - 19 + 3 + 5*k**2 - 14*k - 12*k + 6*k. -8*k**2 - 20*k - 16 Collect the terms in 15363 + 1851*i**2 + 1719*i**2 - 3574*i**2 - 15363. -4*i**2 Collect the terms in -4526084*a**3 - 4442698*a**3 + 8968784*a**3. 2*a**3 Collect the terms in 850*z - 9418*z + 1284*z - 2068*z. -9352*z Collect the terms in 4*m**2 + 192029*m**3 + 0*m**2 - 9*m**2 - 96011*m**3 + 5*m**2 - 96016*m**3. 2*m**3 Collect the terms in -16*t**2 + 40*t**2 - 25*t**2 + 8552 - 4276 + 24*t**3 - 4276. 24*t**3 - t**2 Collect the terms in -1314*w - 4981 + 493*w + 4981. -821*w Collect the terms in -76739 + 218*k**3 + 76739 + 814*k**3. 1032*k**3 Collect the terms in -13403*o + 16092*o - 2684*o. 5*o Collect the terms in -879*i**2 - 2335*i + 4673*i + 118*i**2 - 2338*i. -761*i**2 Collect the terms in 150890 - 1606*b - 150890. -1606*b Collect the terms in 12*h - 4074*h**2 + 1735*h**2 - 4*h + 2225*h**2 - 8*h. -114*h**2 Collect the terms in 1007*o - 3402*o - 4190*o - 2396*o + 998*o. -7983*o Collect the terms in -302*s**3 + 1000*s**3 + 4360*s**3. 5058*s**3 Collect the terms in -5*s + 1229795*s**3 - 1229781*s**3 + 5*s + 0*s. 14*s**3 Collect the terms in -5*b + 744*b**3 + 733*b**3 + 10*b - 2177*b**3 + 708*b**3. 8*b**3 + 5*b Collect the terms in -858223*u**2 - 6*u**3 + 286090*u**2 + 286089*u**2 + 286044*u**2. -6*u**3 Collect the terms in -335*y + 381*y + 3 - 816*y. -770*y + 3 Collect the terms in 4*s**2 - 1849*s + 925*s - 820790 + 820790 + 924*s + 26*s**2. 30*s**2 Collect the terms in 1 - 1 + 0 + 52451913*d**2. 52451913*d**2 Collect the terms in 46*m - 1070 + 50*m - 1063 - m**2 + 2133. -m**2 + 96*m Collect the terms in -3308*l**3 - 24454*l + 24454*l - 3264*l**3 + 6601*l**3. 29*l**3 Collect the terms in -41*m**3 - 81 + 25 - 48*m**3 - 64. -89*m**3 - 120 Collect the terms in 5 + 6 - 23 + 3 + 5 - 5*d + 6 + d. -4*d + 2 Collect the terms in 13*p**2 + 175283*p + 175276*p + 175267*p - 4*p**2 - 525826*p. 9*p**2 Collect the terms in -922*a + 7038*a + 846*a. 6962*a Collect the terms in 287301*z + 3 + 649*z**2 - 1 - 287301*z. 649*z**2 + 2 Collect the terms in 7 - 69*g**2 - 7*g**2 - 166*g + 170*g - 40*g**2. -116*g**2 + 4*g + 7 Collect the terms in 872 + 7*r**3 + 11*r**3 - 1185 - 17*r**3. r**3 - 313 Collect the terms in -1278*q**2 + 498*q**2 + 767*q**2. -13*q**2 Collect the terms in -35*v - 4184*v**2 - 4497*v**2 - 4493*v**2 + 3*v**3 + 13174*v**2. 3*v**3 - 35*v Collect the terms in 616 - 7040 + 4*c - 344 - c. 3*c - 6768 Collect the terms in -11 + 150 - 300 + 364*h**2 + 161. 364*h**2 Collect the terms in 2 - 1 - 140842*t**2 + 70588*t**2 - 1 + 70260*t**2. 6*t**2 Collect the terms in 859*y - 362*y + 1329*y - 2*y**2 - 3. -2*y**2 + 1826*y - 3 Collect the terms in 293300*i - 145500*i - 147795*i. 5*i Collect the terms in -1683*w**3 + 603*w**3 + 452*w**3. -628*w**3 Collect the terms in 191022388*u + 80*u**3 - 191022388*u. 80*u**3 Collect the terms in 704*m - 233*m - 248*m + 3 - 238*m. -15*m + 3 Collect the terms in -14 + 39 + 408*w + 11. 408*w + 36 Collect the terms in -28018*a**2 - 778*a - 14337*a**2 + 2337*a - 783*a - 776*a. -42355*a**2 Collect the terms in -2837*i**2 + 7*i**3 + 12*i**3 + 0*i**3 - 5*i**3 + 1403*i**2 + 1437*i**2. 14*i**3 + 3*i**2 Collect the terms in 382*p**2 + p**3 - 5*p**3 - 2194*p**2 + 0*p**3 + 1812*p**2. -4*p**3 Collect the terms in -2 + 864973523*v - v**2 - 2 - 864973526*v + 4. -v**2 - 3*v Collect the terms in 2245673492 - 2245673492 + 33*b + 6*b. 39*b Collect the terms in 372*m + 371*m + 3 + 370*m - 3 - 1120*m. -7*m Collect the terms in 11539*a**2 - 3841*a**2 - 3842*a**2 - 3849*a**2 + 28*a. 7*a**2 + 28*a Collect the terms in 51 - 43 + 29*a - 15*a - 264*a**2. -264*a**2 + 14*a + 8 Collect the terms in -21*p**2 + 3 + 11 + 50 - 66. -21*p**2 - 2 Collect the terms in 14808*n + 14834*n - 2*n**2 + 14752*n - 44430*n. -2*n**2 - 36*n Collect the terms in -364*g**3 + 932*g**3 - 343*g**3 - 220*g**3. 5*g**3 Collect the terms in 25505*j + 28030*j - 7650*j + 19365*j + 25048*j. 90298*j Collect the terms in 81951*l - 12440*l - 23691*l + 123133*l. 168953*l Collect the terms in -286*u + 1392*u**2 - 5191*u**2 + 286*u. -3799*u**2 Collect the terms in -8 - 1 + 9 - 63315*o**2. -63315*o**2 Collect the terms in -29 - 3 - j - 12*j**2 + 32 + 3*j. -12*j**2 + 2*j Collect the terms in -827908567962*q**2 + 827908567962*q**2 - 7*q**3 - 4*q**3. -11*q**3 Collect the terms in -6 - 14 - 3643*i - 325*i - 10 - 17. -3968*i - 47 Collect the terms in -2095*u**2 + 4234*u**2 - 2100*u**2. 39*u**2 Collect the terms in -196*p - 142*p + 84*p - 54*p. -308*p Collect the terms in -2277*n + 6985*n - 2299*n - 2278*n. 131*n Collect the terms in -22601*j + 30 + 30 - 60. -22601*j Collect the terms in -4*j**2 - 9 + 5 - 40721*j + 2 - j**3. -j**3 - 4*j**2 - 40721*j - 2 Collect the terms in 59091570*x - 14772887*x - 14772888*x - 14772894*x - 14772897*x. 4*x Collect the terms in -76*m**3 + 8526*m - 8526*m + 159*m**3 - 82*m**3. m**3 Collect the terms in -6*g - 67*g**2 - 73*g**2 - 616*g**3 - 69*g**2 + 209*g**2. -616*g**3 - 6*g Collect the terms in -783 - 9254*u**2 + 783. -9254*u**2 Collect the terms in -221261*f**2 - 221386*f**2 + 442648*f**2. f**2 Collect the terms in -3688*y**2 + 7392*y**2 - 3704*y**2 - 85*y**3 - 181*y**3. -266*y**3 Collect the terms in -125*h**2 + 291*h**3 + 337*h**3 + 133*h**2 - 8*h**2. 628*h**3 Collect the terms in 333*o**2 - 331*o**2 - 332*o**2 - 340*o**2 + 667*o**2. -3*o**2 Collect the terms in 171*l**3 - l - 554*l**3 - 266*l**3 - 257*l**3 - 30*l**2. -906*l**3 - 30*l**2 - l Collect the terms in -1301*y - 685*y - 1386*y - 782*y. -4154*y Collect the terms in 109*z - 8*z - 9*z + z - 5*z - 88*z + 16*z - 15*z. z Collect the terms in 1082179385*j**2 - 1082179385*j**2 - 17*j**3. -17*j**3 Collect the terms in 21*f**3 - 866975 + 866975 - 23*f**3. -2*f**3 Collect the terms in -1864*m - 1864*m - 77374*m**2 + 17*m**3 + 3728*m + 77374*m**2. 17*m**3 Collect the terms in 414*o - 414*o + 29554*o**3. 29554*o**3 Collect the terms in 42 - 93 + 51 + 17892*n. 17892*n Collect the terms in -6512*v - 6503*v - 39904*v**3 + 13015*v. -39904*v**3 Collect the terms in -264089*q + 16891*q - 107110*q - 186911*q. -541219*q Collect the terms in -3187133 + 73*q + 129*q + 3187131. 202*q - 2 Collect the terms in -13999*u + 10*u**3 + 4626*u + 4751*u + 4622*u. 10*u**3 Collect the terms in k**3 + 785 - 1015*k + 984 + 6 + 1016*k - 399. k**3 + k + 1376 Collect the terms in 1619376*p**3 - 2*p**2 - 1619366*p**3 + 2*p**2 - 177 + 177. 10*p**3 Collect the terms in -817*x - 249*x - 685*x - 307*x - 907*x. -2965*x Collect the terms in -48*w**3 + 32421107326 - 32421107326. -48*w**3 Collect the terms in -17*i - 6663 + 3120 + 3541. -17*i - 2 Collect the terms in -2009 + 483*r**3 - 2*r + 2*r. 483*r**3 - 2009 Collect the terms in -123*d**3 - 2625 + 120*d**3 + 1308 + 1317. -3*d**3 Collect the terms in -p + 4*p + 5*p + 0*p - 166 + 56. 8*p - 110 Collect the terms in -49*j + 15*j + 196*j - 161*j. j Collect the terms in 9707783 - 197*b - 9707783. -197*b Collect the terms in 1096 - 552 + 763*c - 256*c - 252*c - 544 - 249*c. 6*c Collect the terms in -68*s - 53575*s**3 + 53582*s**3 - 49*s. 7*s**3 - 117*s Collect the terms in -10 - 12 + 454*c - 8 + 305*c - 756*c. 3*c - 30 Collect the terms in -42 + 190 - 47 - 52 + 6*h - 42. 6*h + 7 Collect the terms in 47521*k**3 + 47620*k**3 - 95148*k**3. -7*k**3 Collect the terms in -3*v + 346561 - 1039716 + 346586 + 346569
{ "pile_set_name": "DM Mathematics" }
divisor of 21 and j? 7 Let l = -1128 - -8148. What is the greatest common divisor of 108 and l? 108 Let m be (-1470)/28*4/(-7). Calculate the greatest common divisor of 7380 and m. 30 Suppose -2170 + 9914 = 32*o. What is the greatest common divisor of o and 9801? 121 Let z = -4 - -9. Let h = 6 - z. Suppose 2*n + h = 33. What is the highest common factor of 16 and n? 16 Suppose -4*i - 212*x + 208*x + 136 = 0, i + 3*x = 42. What is the highest common factor of i and 2190? 30 Let f = -2174 - -2187. Calculate the highest common factor of 8489 and f. 13 Let r = 67 + -59. Suppose -r - 12 = -5*a + 3*v, -a = -3*v - 4. Suppose -a*c = 4*n - 80, -n - 4*n + 103 = 4*c. Calculate the highest common divisor of n and 23. 23 Suppose -197 = m - 0. Let c = m + 217. Calculate the highest common divisor of 200 and c. 20 Suppose 121 + 1879 = 40*y. What is the greatest common factor of 1600 and y? 50 Let d = 206 + -202. Suppose 0 = -5*t + 2*a + 3148, a - 1891 = -d*t + t. Calculate the greatest common divisor of t and 70. 70 Let a = 1808 - 1558. Calculate the highest common factor of a and 30. 10 Suppose -4*x = 2*a - 2, 10*x - 9*x + 5*a = -13. Suppose -3*g + x*g + 9 = 4*c, 5*g - 2*c = 133. Calculate the highest common divisor of 775 and g. 25 Let q(d) = 4*d**2 - 2*d - 4. Let n be q(-2). Let c = 18 - n. Suppose 10 = -5*h + 3*k + 66, c*k + 4 = 0. Calculate the highest common factor of h and 90. 10 Suppose -6*o + 54 - 168 = 0. Let u = 53 + o. Let s(c) = 6*c**2 + 2*c - 2. Let q be s(7). Calculate the highest common factor of q and u. 34 Let s = 588 + -942. Let u = 1021 + s. Calculate the greatest common factor of 23 and u. 23 Suppose f + 5*o - 9*o + 84 = 0, -4*o = -3*f - 252. Let v be 6 - (6 - 1) - (f - 0). What is the greatest common factor of v and 17? 17 Let c be (-18)/63 - ((-16)/7 - -1). Let l be -31 - -188 - -5*c. What is the greatest common factor of 216 and l? 54 Let g(x) = 2*x + 19. Let b(f) = f**2 - 5*f + 15. Let o be b(6). Let v be g(o). Suppose 3*h - 5 - v = 0. Calculate the highest common factor of 2 and h. 2 Let u be (19/3)/(8/48). Let j = 856 + -210. What is the greatest common divisor of j and u? 38 Suppose 0*w - 3*q + 157 = 5*w, -2*w + 62 = q. Suppose -4*n = w - 49. Suppose -o + 1050 = n*o. What is the highest common factor of 35 and o? 35 Let u(z) = -3384*z - 23661. Let b be u(-7). Calculate the greatest common divisor of 3321 and b. 27 Let b = -334 - -285. Let n be 43 - b/(13 - 6). Let j = -46 + 76. Calculate the highest common factor of j and n. 10 Suppose -4289 = -4*a - 5*r, -7709 = -5*a - 3*r - 2351. Calculate the greatest common divisor of a and 833. 119 Let u be (28/(-5))/(2/(-10)). Suppose -v - 5*k + 176 = -3*k, 4*v + k = 725. Suppose 15*w = 238 + v. Calculate the greatest common divisor of w and u. 28 Let o be (-3383)/17*(2 + -3). Suppose 726 = -198*y + o*y. What is the greatest common divisor of 66 and y? 66 Suppose -a - 7 = 4*l + 1, 13 = 4*a + l. Suppose 2*n + 92 = 2*z - 2*n, 3*z - 148 = -a*n. What is the greatest common factor of 32 and z? 16 Suppose 2*g + 151*r - 386 = 156*r, -g + 202 = -r. Calculate the greatest common divisor of 304 and g. 16 Let p = 32772 + -8522. What is the greatest common factor of p and 250? 250 Let a = -19252 - -19476. Calculate the greatest common divisor of a and 2544. 16 Suppose -3*t = -16*t + 51 + 2016. What is the greatest common divisor of t and 424? 53 Let f = 47 - 36. Let v(p) = 2*p - 7. Let q be v(-7). Let r be (-6)/q + (-2073)/(-21). What is the greatest common divisor of f and r? 11 Let v be -33*(-23 + ((-4)/20 - 55/(-25))). What is the highest common divisor of v and 819? 63 Let z be 2 - (-26)/((-78)/(-45)). What is the highest common factor of z and 1? 1 Suppose 4*h = -42*c + 40*c + 2332, -h = -5*c + 5863. Suppose c = 24*o - 484. Calculate the highest common factor of o and 161. 23 Suppose -14*s + 30*s - 1536 = 0. Let w(y) = -25*y**3 - 2*y**2 - 2*y - 1. Let r be w(-1). Calculate the greatest common factor of r and s. 24 Let g(v) = v**2 + 12*v - 12. Suppose 4*i - 2*i + 24 = 0. Let u be g(i). Let x be 1/4*-2*(0 + u). Calculate the greatest common factor of x and 15. 3 Suppose -2*l - 3*m = -354, 2*m - 8 = 4*m. What is the highest common factor of l and 15? 3 Let y be (-3)/(-9) + (-3)/(9/(-71)). Suppose -y = -4*h - 3*x, -x + 4 = -0. Suppose h*m - 8 = -m. Calculate the greatest common divisor of 22 and m. 2 Suppose -1191 = 10*c - 3181. Let p = 241 - c. What is the greatest common divisor of 126 and p? 42 Let w be (-8264)/(-24) - ((-8)/3 - -3). Suppose 5*d = -3*d + w. What is the highest common divisor of d and 43? 43 Suppose -3*h = -4*v - h + 90, -4*v = 3*h - 85. Let y(d) = 2*d**2 + 5*d - 227. Let r be y(13). Calculate the greatest common divisor of v and r. 22 Let l(k) = 125*k + 2756. Let b be l(-22). Suppose 2*d + 0*g = 3*g + 69, -d = 4*g - 40. Calculate the greatest common divisor of b and d. 6 Let c = 6 - -57. Let s be (-3920)/(-224)*3*(-2)/(-5). Calculate the greatest common factor of s and c. 21 Suppose 4*m - 22 = -2*u + 4*u, m - 5*u - 19 = 0. Let c be (m/2)/(-1) + (-204)/(-68). What is the highest common divisor of 23 and c? 1 Let j(d) = -2*d**3 + d**2 - d - 1. Let r(c) = 13*c**3 - 22*c - 11. Let x(y) = -6*j(y) - r(y). Let w be x(-9). Calculate the highest common divisor of w and 1. 1 Suppose 2*n + 19 + 49 = 0. Let o = -81 - -58. Let g = o - n. What is the greatest common factor of g and 77? 11 Let o(d) = -7*d - 19. Let f(i) = -4*i + 7. Let y be f(6). Let u be o(y). Calculate the greatest common factor of u and 25. 25 Let o(j) = -j**2 + 27*j - 16. Let g = -116 - -127. Let d be o(g). Let b(p) = -6*p - 62. Let y be b(-12). Calculate the highest common factor of d and y. 10 Let k = 1552 + -850. Let c be 6305/(-20) + 15/60. Let t = c + k. Calculate the greatest common divisor of t and 43. 43 Let t(s) = -21*s + 3. Let j be t(-3). Suppose -164 = -5*y + j. Let a = y - 34. What is the greatest common factor of a and 12? 12 Suppose 2*l + 5*g - 82 = 0, 24*g = 25*g + 2. Calculate the greatest common factor of 13846 and l. 46 Let j = -29 - -50. Let n be (-10)/(-4) - (7088/(-20) + 50/(-500)). What is the highest common factor of n and j? 21 Let c = 143 - 114. Suppose -32*l + c*l + 42 = 0. What is the highest common divisor of 35 and l? 7 Suppose -2*q = -7*q - 10, 4*f + 4*q = 40. Let n = -252 - -354. What is the highest common divisor of n and f? 6 Let p be (28 - 33) + (-4)/((-4)/285). Let i = 316 - p. Calculate the highest common divisor of 8 and i. 4 Let s(m) = -m**3 + 26*m**2 + 45*m - 412. Let h be s(18). What is the greatest common factor of 13 and h? 13 Suppose 6*q - 413 = 397. Let r = -7071 + 7251. Calculate the highest common factor of q and r. 45 Suppose -35*b + 68000 = -3*b. Calculate the greatest common factor of 51 and b. 17 Let y = 18629 + -9451. Calculate the highest common factor of 26 and y. 26 Let q(a) = a**3 + 9*a**2 + 2*a - 10. Let b = -38 - -32. Let p be q(b). Suppose -3*o = -o - p. Calculate the greatest common divisor of o and 43. 43 Suppose 2*k - 4 = 6*k + 4*s, 0 = 4*k - s - 16. Suppose 4*o = -3*u + 35, -5*o = -4*u - k*o + 32. What is the greatest common factor of u and 36? 9 Let f be (-473)/(-44) + (-2)/(-8). Suppose -a - 3*w + 25 = -f, 0 = 3*a - w - 88. Calculate the highest common factor of 280 and a. 10 Let p = -7248 - -8249. What is the highest common divisor of 1 and p? 1 Let s = -18 - -21. Suppose s*p - p - 20 = -4*x, -5*p = 3*x - 15. Let g be p - -70 - (15/5 + -2). What is the highest common divisor of g and 23? 23 Let f be 354/21 - 180/210. Suppose 5616 = f*l + 2*l. Calculate the highest common divisor of l and 39. 39 Let f(t) = 5*t + 62. Let w be f(21). Let j = w - 157. What is the greatest common factor of 55 and j? 5 Let n be (-52472)/(-4 + -10) - (-14)/(-2). Calculate the greatest common factor of 258 and n. 129 Suppose -g - 475 = -6*a + 1346, 0 = -a + 2*g + 298. What is the highest common divisor of 513 and a? 19 Let w be (-12)/27 + 3350/45. Suppose -w*s = -19*s - 2310. What is the greatest common factor of 70 and s? 14 Let m be (-84)/(-10) + 4/(-10). Let x(d) = -2*d**2 + 17*d - 5. Let r be x(m). Let y = 173 + r. What is the highest common divisor of y and 22? 22 Let k = -155 - -159. Suppose 21 = 2*w + 6*t - 3*t, -k*w + 5*t + 9 = 0. Let x = 20 + -14. What is the greatest comm
{ "pile_set_name": "DM Mathematics" }
0.0000008 Let i = 237 - 236.9932. What is i rounded to three dps? 0.007 Let r = 263.1 - 263.09997381. Round r to 5 decimal places. 0.00003 Suppose -w + 5135355 = 5*a - 3*w, -2*w - 2054148 = -2*a. Suppose -3*g = a - 10927069. Round g to the nearest one million. 3000000 Let m be 2 - (-1 - 6602)*(-30)/(-18). Suppose 7*l + 28893 + m = 0. Round l to the nearest 1000. -6000 Let w = -0.46449 + 37.87749. Let r = -68.387 + w. Let c = 31 + r. What is c rounded to 2 dps? 0.03 Let n = -3.665 + 23.801. Round n to 0 dps. 20 Suppose -4*v - 3*i + 3244882 = 768888, 5*v - 3095004 = 2*i. Round v to the nearest 100000. 600000 Let z be 6/(-14) - (-24704808)/21. Suppose 4*a + z = -943581. Round a to the nearest one million. -1000000 Let i = 3.439027 + -3.44. Round i to four dps. -0.001 Suppose q + i - 86531244 - 2368760 = 0, q - 88899980 = 5*i. Round q to the nearest one million. 89000000 Let g = -4.9922 + 3.2563. What is g rounded to 1 dp? -1.7 Let m = 112.99738 + -113. What is m rounded to four dps? -0.0026 Let w = -895.9 - -1123. Let i = w + -238. What is i rounded to the nearest 10? -10 Let a = -432 + 432.000868. What is a rounded to 4 dps? 0.0009 Let z be 3074/(-12)*835 - (-10)/(-12). What is z rounded to the nearest 10000? -210000 Let k(t) = -305*t + 11. Let y be k(-7). Suppose 3*r - a - y = r, 2 = -a. Suppose -3*j - r = 3818. Round j to the nearest one hundred. -1600 Let y = -474.5312 + 0.0312. Round y to the nearest one hundred. -500 Suppose -5*k - 130975823 = -40525823. Round k to the nearest 1000000. -18000000 Let a = -2562521 + 15062521. Round a to the nearest 1000000. 13000000 Let h(s) = -14*s - 18. Suppose 37 = 5*t + 4*q, t + t - 4*q = 26. Let c be h(t). Let a = -37 - c. Round a to the nearest 10. 110 Let t be 64/(-8)*2/(-16). Let l(d) = -240*d**3 + d**2 - d. Let r be l(t). Round r to the nearest one hundred. -200 Let n = 12.936216 + 0.063763. Let s = n - 13. Round s to five decimal places. -0.00002 Suppose 0 = -2*t + 11*n - 9*n + 165010, -3*t + 247525 = -5*n. What is t rounded to the nearest 10000? 80000 Let d = -248.8 + 248.79998997. Round d to seven decimal places. -0.00001 Suppose -w = -2*v - 7 - 6, 2*w = 3*v + 21. Suppose 304 = 3*o - 2*y, -w*y + 3 = -o + 109. What is o rounded to the nearest 10? 100 Let w = -33.6 - -27. Let f = -6.09 - w. Let x = -0.5079 + f. What is x rounded to 3 dps? 0.002 Let d be 0 + 4479994 - (-54)/9. Round d to the nearest one hundred thousand. 4500000 Let o = 4.72 + 0.22. Let z = o - -0.21. What is z rounded to zero decimal places? 5 Let o = 8.7 - 8. Let r = -29.4 - -29. Let q = r + o. What is q rounded to 1 dp? 0.3 Let f = 14.6 + -14.156. Round f to two dps. 0.44 Let l be 2/((-14)/(-10) + -1). Suppose -2*m = -l*m - 4*y - 2, 4*m = y + 29. Suppose -w + m*i - i - 58 = 0, i = -4*w - 169. Round w to the nearest ten. -40 Suppose 1 + 4 = -2*n + 5*j, 4*n - 2 = -2*j. Suppose n = 5*f - 0*f - 2335. Let u = f - 757. Round u to the nearest one hundred. -300 Let h be (-5)/((-35)/28) + (-712)/(-2). Round h to the nearest 1000. 0 Let b(g) = g - 8. Let u be b(8). Suppose l - 5*o - 150 = u, 7*l = 4*l + 2*o + 424. Let p = l + -287. Round p to the nearest ten. -150 Let l be 5/(-10)*0*1 + -14. What is l rounded to the nearest ten? -10 Suppose 6*k = -4*o + k + 13, 4*o - 4 = 4*k. Suppose -o*p = t + 2, -t = -0*p + 4*p. Let m be p/4 + 16800006/(-24). What is m rounded to the nearest 100000? -700000 Let x = -0.57701022 - 12.42299418. Let p = x + 13. Let f = p + 0. Round f to 6 decimal places. -0.000004 Let p = 184 - 171.1. Let h = 1.9 - p. Let k = h - -10.96. Round k to two decimal places. -0.04 Let z = -0.4655 - 1.3892. Let f = 1.87 + z. Round f to three decimal places. 0.015 Let c(z) = -962349*z + 1. Let l be c(1). Let m = l - 1395103. Let d = -1647451 - m. Round d to the nearest one hundred thousand. 700000 Let k = -47.6 + 44. Let j = k - -6.3. Let l = j - 2.22. Round l to one dp. 0.5 Let c(p) = -11102*p**2 + 2*p + 12. Let o be c(-7). Round o to the nearest 100000. -500000 Suppose -a - 4*a = 5, 2*z - 181 = a. Let s be (2988/z)/((-2)/(-50)). What is s rounded to the nearest one hundred? 800 Let q = -1076182 + 2035459. Let g = q - 959264.99977. Let d = 12 - g. What is d rounded to 4 dps? -0.0002 Suppose -r + 15 = -6*r. Let v be 1/((-1)/127997) + r. Round v to the nearest ten thousand. -130000 Let r = -2053704 - -2053704.1400033. Let y = 0.14 - r. Round y to 6 dps. -0.000003 Let g = 0.71 + 1.3. Let y = 0.174 + 0.056. Let o = g - y. Round o to one dp. 1.8 Let s = 70.763 - 32207.763. Let o = s + 32134.30095. Let l = o + 2.7. What is l rounded to 4 decimal places? 0.001 Let l = 3255 + -24105. Round l to the nearest 1000. -21000 Let j = 0.22 + -2.62. Let m = j - 0.6. Let n = m - -3.0000035. What is n rounded to 6 decimal places? 0.000004 Let d = 18 + -18.055. Let a = d + 0.033. Round a to two dps. -0.02 Let q = 692.9 + -740. Let r = -38 - q. Let c = r + -9.0933. Round c to three dps. 0.007 Let c = 61259553.74000067 + -61259554. Let a = 0.26 + c. What is a rounded to 7 decimal places? 0.0000007 Let j = 10751.91087 - 10756.51. Let i = 5.03 + -0.43. Let f = i + j. Round f to four decimal places. 0.0009 Let j = 30.91082 - 34.473062. Let b = 3.7222461 + j. Let q = -0.16 + b. What is q rounded to six dps? 0.000004 Let c(n) = 2*n**2 + 7*n + 159. Let k be c(0). What is k rounded to the nearest 10? 160 Let t = 290593560 - 290593563.46192246. Let k = t + -47.53807094. Let z = 51 + k. Round z to 6 dps. 0.000007 Let u(s) = 69*s**2 + 2*s - 3. Let g be u(2). Let f = g + 243. Round f to the nearest 100. 500 Let k = -18.72 - -2.52. Round k to the nearest integer. -16 Let y = -164 + 203.5. What is y rounded to the nearest integer? 40 Let q = 66.47 + -66. Let w = q + -0.47000038. What is w rounded to 7 decimal places? -0.0000004 Let o = 651 + -572.2. Round o to 0 dps. 79 Let y(q) = -1825*q**2 - 31*q - 272. Let t be y(-12). What is t rounded to the nearest one hundred thousand? -300000 Let a = -56.7246 - -67.724512. Let w = 1.5 - 12.5. Let k = a + w. Round k to 5 dps. -0.00009 Suppose 2*k - 40099995 = b, 3*k + 19*b = 17*b + 60150010. What is k rounded to the nearest one million? 20000000 Let s = -0.03685184 + 0.09885326. Let v = -0.047 - 0.015. Let i = v + s. Round i to seven dps. 0.0000014 Suppose 4*z + 3*h = 991, 0 = z - 4*h + 55 - 298. What is z rounded to the nearest one hundred? 200 Let t = 3242 - 3197.66. Round t to the nearest 10. 40 Let f = 831 - 832.932. Let w = f - -0.072. What is w rounded to one dp? -1.9 Let h = -75.73644 - 0.15356. Let a = 74.234 - 0.234. Let w = a + h. What is w rounded to 1 dp? -1.9 Let a(c) = -c**3 - 2*c**2 + c. Let m be a(-3). Suppose -m*x + 3*x = -360000. What is x rounded to the nearest one hundred thousand? 100000 Let h = 9 + -5. Let y(v) = 1688419*v - 4. Let k be y(h). Let x = k - 12953672. What is x rounded to the nearest one million? -6000000 Suppose -80760 = -3*k - 2*k. Suppose -3*l - k = -7*l. Suppose 4*g - l + 1150 = m, 2*m = g - 5797. Round m to the nearest one thousand. -3000 Let g(a) = -1433*a**2 + 3*a + 6. Suppose 0 = -5*q - 5*q - 30. Let f be g(q). Round f to the nearest 1000. -13000 Let m = -257520.0039 + 257439. Let d = -1.32 + 82.32. Let r = m + d. Round r to three dps. -0.004 Let d = -0.1 + -1.24. Let h = d + 1.5. Let j = h - -0.01. What is j rounded to one decimal place? 0.2 Let q = -997097932 - -996902642.5649. Let z = q + 195504.43510127. Let t = -215 + z. Round t to 7 dps. 0.0000013 Let z = -133.9628 - -202.7487. Let p = z + -68.9. What is p rounded to 2 dps? -0.11 Let c = -41.5 + -1.5. Let k = 42.9936 + c. Round k to three dps. -0.006 Let h = -6.2 + -1.8. Let g = 11 + h. Let t = g - 3.0032. Round t to three dps. -0.003 Let h = 12.7 - 13. Let j = -0.29989 - h. What is j rounded to five dps? 0.00011 Suppose 0 = x - 2*x - 3*w + 8, -12 = -x - 5*w. Let s be (-6 + 6)/(x*1). Let l be (-200 + s/2)*1030. Round l to the nearest ten thousand. -210000 Let d(s) = s**2 - 9*s + 11. Let c be d(8). Suppose -m = -2, -c*z + 0*m - 812 = -m. What is z rounded to the nearest one hundred? -300 Let d = 37 + 17.1. Round d to the nearest ten. 50 Let j = 429 - -439. Let y = 867.0975 - j. Let z = -0.9 - y. Round z to three dps. 0.003 Suppose -3*v = -4*l - 24, 0*v = 2*v + 2*l - 2. Suppose 9*q = v*q - 20900000. Round q to the nearest one
{ "pile_set_name": "DM Mathematics" }
is (6/(-27))/(34*2668/(-11832))? 2/69 What is 30/8*1*456/3420*-66? -33 What is the value of ((-8)/260)/((-10)/7*(-147)/175)? -1/39 (34/(-16))/(630/2520) -17/2 What is the value of 43*(-903)/399384*-240? 70/3 Evaluate -54*3/(-2)*((-3164)/2712)/(126/(-64)). 48 Calculate 41*(-54)/(-6273)*-34. -12 Evaluate (-27)/(-3)*-1*(90/70)/((-6)/(-14)). -27 What is the value of (70*(-7)/(-175))/((-8)/(64/8))? -14/5 What is the value of (23/(-5106))/((-26)/(-936))? -6/37 What is the value of 1/4*31*(-16052)/(-16052)? 31/4 ((-657)/(-730))/(12/35) 21/8 Evaluate (((-3286)/(-53))/186*2)/(2/(-318)). -106 Evaluate ((157584/(-9045))/(-392))/((-2)/(-3)). 1/15 What is the value of ((-24)/(-1064))/(6/(-9)*(-207)/483)? 3/38 Evaluate 5/(30/9)*(-42)/(-420)*(-5)/54. -1/72 Evaluate 114/(-114)*(-20)/470. 2/47 What is (-6*(-5)/(-1010))/((63/(-84))/((-1)/2))? -2/101 What is (-12)/((-15)/(-5))*2/26*11/286? -2/169 Calculate (43/43)/((-132)/1947*1/(-4)). 59 (10*8/420*7)/(16/696) 58 What is (((9360/(-26))/24)/4)/(1*(-2)/24)? 45 (55/(-11))/(175/126*2/10) -18 What is the value of (1*51)/(343026/262314)? 39 What is the value of (-12)/14*((-22)/4)/((-1903)/(-692))? 12/7 What is ((-120)/(-152))/((-426)/8094)? -15 Evaluate ((-1800)/(-324))/(-3*(-14)/(-756)). -100 What is the value of (422/(-2532))/((-20)/105)? 7/8 Evaluate ((-333)/15)/((-4455)/(-7425)). -37 Calculate -2*3/(-3)*(-851)/(-10212). 1/6 What is (-2)/(-14)*42/(-12)*(-7)/((-3752)/48)? -3/67 What is the value of ((-248)/372)/(((615/(-270))/(-41))/((-7)/(-4)))? -21 What is the value of (-1)/(-54)*-18*(-3*69)/(-3)? -23 Calculate (-3)/2*-4888*132/(-20592). -47 Evaluate (((-2)/((-1440)/(-48)))/(2/(-348)))/((-16)/10). -29/4 ((-98)/5439)/(21/189) -6/37 Evaluate (9*8/3)/((18585/236)/(-105)). -32 -4*17/204*(-23)/138*42 7/3 Calculate (11/506)/(((-11)/1386*-9)/((-6)/(-7))). 6/23 (2/(-17*6))/(35121/(-199019)) 1/9 What is (27/(-4))/((-2961)/(-564))? -9/7 78/91*((-311395)/93)/35 -82 What is (3/(-15))/((-14106)/(-47020))? -2/3 Calculate (-18)/28*(-323)/(1292/168). 27 Evaluate (5936/160)/(2618/7480). 106 What is the value of (35*49/193795)/((-7)/(-63)*9/(-2))? -2/113 What is the value of (-768)/224*(-11424)/576? 68 What is the value of 2800/(-525)*(-1)/(-6)*(-27)/(-6)? -4 What is the value of (-3*(-2)/15)/(1026/(-164160))? -64 (26/160)/(160225/49300) 1/20 Evaluate 1/(9/3)*-12*(-19)/(7448/42). 3/7 What is (33/(-5))/(1243/1695)? -9 Calculate ((-384)/(-40))/((-2)/(-20)). 96 Calculate (-8)/36*(-133)/(36176/(-1836)). -3/2 What is the value of (6193/43351)/(6/(-140))? -10/3 What is the value of 109/(737058/16284)*49? 118 What is the value of (80/(-6))/2*-138*(-62)/49910? -8/7 What is the value of ((-31)/(-6))/((-10921)/(-131052))? 62 Calculate (-3)/5*(-10)/4*2231/13386*-2. -1/2 What is the value of 470/658*(2/1)/(-2*(-369)/63)? 5/41 What is (15/10)/(3/2)*-33*858/(-10890)? 13/5 What is the value of (2*5/(-6))/((-6975)/(-125550))? -30 Calculate ((-50)/550)/(((-56)/(-24))/7). -3/11 Evaluate ((-900)/120)/15*62. -31 What is (-1682)/(-2088)*18*2? 29 What is ((-2)/(-18))/(860/3096)*(-245)/28? -7/2 Calculate (342/(-4))/(-1)*(-13458)/(-20187). 57 Calculate (-35)/1680*-3*(-2)/6*6/(-3). 1/24 Calculate 5/(450/22)*(-471)/157. -11/15 Evaluate (6/18)/(3/(-135))*12/20. -9 What is (2178/2541)/(705/(-70))? -4/47 What is the value of 19/266*-10*952/8? -85 What is the value of 1150/(-1656)*-36*9/(6/(-2))? -75 Calculate ((-73)/(14965/328))/((-6)/(-195)). -52 What is the value of (12/(-5))/((29202/(-2480))/(-157))? -32 ((28/6)/((-44)/12))/((-63504)/87318) 7/4 What is 1*(-135)/(-50)*(-1125)/1350? -9/4 Evaluate (-14670)/22005*(-153)/(-2). -51 What is the value of ((-30)/(-16))/((-8)/288)*(144/20)/6? -81 What is the value of (-26)/(-104)*132/(-11)*2/33? -2/11 Calculate (1386/385)/((460/40)/(5/3)). 12/23 Calculate ((-18)/(-56))/(-3)*(-31992)/(-71982). -1/21 Calculate 43/(((-9)/(-81))/((-6)/54)). -43 Evaluate ((-13)/(-8))/(((-2354)/7704)/((-176)/72)). 13 (15/(1575/(-28))*(-210)/(-336))/(123/(-36)) 2/41 What is the value of (345/(-12))/(((-1500)/(-144))/25)*2/(-2)? 69 Evaluate 1302/(-1302)*(-1)/(-9)*3. -1/3 What is (-1896)/(-2370)*189/28? 27/5 Evaluate (-2)/(((-176)/22)/(-4))*(-210)/133. 30/19 (32/(-80))/((-8)/(-760)) -38 What is the value of 48/(-7128)*-18*(-27)/12? -3/11 What is (-213)/3*42/((-2184)/(-52))? -71 (-28)/40*720/18900 -2/75 What is the value of ((-84)/(-168))/((-6)/8*(-8)/516)? 43 (192/(-32))/18*(-135)/(-10) -9/2 Calculate (2652/(-204))/(54/24*(-12)/3). 13/9 Calculate (14/6)/(17164/228036). 31 Calculate ((-35)/80)/((-672)/(-1792))*30/(-14). 5/2 Evaluate (-2)/(-4)*112*(-48)/64. -42 Calculate (-133)/(-70)*(-803)/1387. -11/10 What is (60/(-50))/(((-88)/44)/((-11)/(66/(-140))))? 14 (((-147)/((-134799)/(-22532)))/((-6)/(-7)))/(1/3) -86 What is ((-8)/2)/((1/(-3))/((-1901)/764202))? -2/67 What is the value of (-2)/20*-6*6105/(-111)? -33 Calculate ((-154)/(-56))/((-268)/67)*-2. 11/8 ((-4)/(-10))/(23*(-180)/24150) -7/3 ((-371)/(-49))/(((-48)/(-224))/(15/(-10))) -53 What is ((-400)/(-24))/(-5)*(-1269)/(-94)? -45 What is the value of (448/(-160)*(-14)/(-49))/((-3)/(-75))? -20 What is (1097/98730)/((-1)/(-18))*(-2)/2? -1/5 Calculate (-200)/7700*4/(48/(-63)). 3/22 What is the value of ((-90)/675)/((-2)/(-10)*4)? -1/6 -18*(252/243)/(-28)*-54 -36 Calculate 72/3*(-3098)/334584. -2/9 What is 3*(2262/(-145))/((-39)/30)? 36 What is the value of (27/(-6))/(((-7569)/(-696))/(-29))? 12 Calculate (-832)/(-1300)*50/260*3/(24/(-10)). -2/13 Evaluate 1/((5/(20/(-3)))/((-294)/(-168))). -7/3 379539/(-182741)*2/6 -9/13 21/((3010/(-32))/((-2945)/4712)) 6/43 (-1290)/(-215)*70/(-12) -35 (-225)/200*12/54*40/28 -5/14 Evaluate 22*(-40)/792*(-18)/1. 20 What is the value of 30/10*11*(-13)/312*-8? 11 Calculate (-2)/(-86)*(-110768)/(-198352). 1/77 Evaluate (((-8856)/1435)/(-54))/(2/(2/1)). 4/35 What is (59240/(-42949))/((-4)/58)? 20 Evaluate 1688/(-5064)*(1206/4)/(195/13)*2. -67/5 Calculate (9*(-3)/9)/((-75)/825). 33 What is ((-150)/375)/(10/8*(-158)/(-1185))? -12/5 Calculate (12/((-72)/10))/(585/45*-1). 5/39 What is the value of (-44688)/(-18240)*(-30)/(-28)*(-4)/6? -7/4 (1/(-3))/(2647/(-230289)) 29 (216/(-39))/(-6)*(14352/(-9))/(-23) 64 What is the value of (156/(-247))/((-4612)/(-197163))? -27 What is the value of (195/(-1053))/((-2)/18)*-6*2? -20 What is the value of (-595)/(-8568)*10608/195? 34/9 22*(8/(-704))/(26/(-6968)) 67 What is (((-232)/(-9))/2)/(34/(-153))? -58 Evaluate (-36)/132*16*(-4)/(-448). -3/77 Calculate 3022/(-37775)*2*20. -16/5 11*408/1188*(-9)/1 -34 What is (1539/(-108)*140/63)/(30/(-54))? 57 What is ((-702)/(-135))/(54/(-135))? -13 What is the value of (-15)/6*(150/500)/(15/1120*-2)? 28 What is the value of (380/15)/((-12)/(-9))*-1? -19 (-1*4/(-8)*-3)/(66/(-20)) 5/11 What is the value of ((41154/(-9747))/(4/45))/((-2)/4)? 95 (-30)/25*(-9)/(-36)*230 -69 What is (7960/35820)/(((-9)/228)/((-27)/(-2)))? -76 Evaluate (26/78)/(12/(-540)). -15 Calculate (-91)/(((-10647)/(-504))/(-13)). 56 ((3264/960)/((-153)/(-15)))/((-6)/(-4)) 2/9 Evaluate 1/((-2)/(-213))*78/(-9)*679/8827. -71 Evaluate (-3)/5*(5/6)/(4322/544572). -63 Calculate ((276/115)/(-3))/((-84)/(-7245)). -69 (-14)/(-4753)*21714/2068 3/97 Calculate ((154/759)/(-14))/((62/2)/93). -1/23 Evaluate (-8)/(-72)*(-4212)/(-13806). 2/59 ((-1)/(-11))/((-4312)/6776) -1/7 Calculate 189*83/1494*60/9*1. 70 Evaluate (-26)/403*9207/11286. -1/19 Calculate (-26)/3*(122/183)/((-12)/(-81)). -39 (77/(24255/(-1350)))/((-63)/7) 10/21 What is the value of ((56/(-6))/(-14))/(20/1110*-1)? -37 Calculate (((-114)/95)/((-30)/20))/(50/(10/2)). 2/25 (115648/(-21684))/(-2*(-2)/4*(-12)/9) 4 (-24)/(-28)*-168*9/144 -9 ((-103)/((-1339)/26))/((-28)/378) -27 Calculate 60*(-28)/140*((-60)/18)/5. 8 What is the value of (80/80)/(90/(-960))? -32/3 Calculate (8/(-1480)*-37)/((-84)/20). -1/21 Evaluate 1098*7/7056*-56. -61 ((27*(-8)/180)/4)/((-2)/12) 9/5 What is the value of ((-3)/(-66))/((-18224)/5984)? -1/67 Calculate -60*10/(-225)*(-60)/(-16). 10 Calculate 176/(-11)*171/(-342). 8 Evaluate (9/(-16))/((-198)/72)*50/45. 5/22 69/(-184)*((-672)/(-2))/14 -9 Evaluate ((-11)/(330/36))/((9/30)/(1890/(-108))). 70 ((-560)/100)/((-84)/(-1080)) -72 (((-2048)/(-32))/(-16))/((-17)/(-3)*3) -4/17 -2*((-16)/(-774))/((-1852)/(-4167)) -4/43 What is 150*(-14)/60*2425/(-3395)? 25 Calculate
{ "pile_set_name": "DM Mathematics" }
g = -1.16 - -1.01. Let m = 0.35 - g. Which is the closest to 0.1? (a) -3/7 (b) m (c) -5 b Let i = 1090 + -1296. Let g = i - -210. Let j = -12 + 38/3. Which is the nearest to 12? (a) g (b) 0.4 (c) j a Let f = -5.22 - -0.22. Which is the closest to 0? (a) -1/6 (b) f (c) -2 a Let t = -205/119 - -22/17. Let w = 0.035 + -0.08. Let i = w + -4.955. What is the nearest to 4 in 1/4, i, t? 1/4 Let c be (-1865)/(-400) - -5*8/(-20). Let m = 33/16 - c. What is the closest to m in 3, 2, -0.4? -0.4 Let k be (-9 - -9)/(-1 + -1). Let n be k + 2 + 1 - 2. Let s = 287.8 + -288. What is the closest to -3 in 3, s, n? s Let m = 559 - 562.79. Let x = m - -4.09. Which is the closest to -1? (a) 0 (b) -6 (c) x a Let o = -129.64 + 81.64. Which is the nearest to 2/5? (a) o (b) -4/5 (c) 4 (d) 9 b Let i = 2109/590 - 677157/175820. Let r = i - -4/149. What is the nearest to 2/3 in r, 53, -1/3, -2/3? r Let i be 6/(1 - 3)*9/27. Suppose -10*u = 2*u - 12. Which is the nearest to u? (a) i (b) 4 (c) 2 c Let x = 2326 + -2322. What is the closest to -1 in x, 5, 2, -5? 2 Suppose 16 = -4*w + 3*r, -5*w + 57 - 50 = 3*r. What is the nearest to 0.2 in w, -0.2, -0.12? -0.12 Let s = 54.4 - 196.4. Let g = 141 + s. Which is the nearest to 3? (a) 2 (b) g (c) 3 c Let h = -2060 + 2056. Let z = -0.28 + 0.08. Let t = 3 + 2. Which is the nearest to t? (a) h (b) z (c) -0.5 b Let i be (-348)/(-1914)*(-2 + 70/16 + -1). Let g = 3/7 - 13/14. Which is the nearest to i? (a) -13 (b) -3 (c) 5 (d) g d Let g = -1204.1 - -595. Let s = g - -609. What is the closest to 0.1 in s, 98, 4? s Let r(y) = 303*y - 2126. Let v be r(7). Suppose -20 = -5*n - m - 4*m, -4*n + m = -16. Let g = -7 + n. Which is the nearest to -1? (a) g (b) v (c) 2/3 c Let g = 73.8 + 0.2. Let z = 73 - g. What is the nearest to 0 in z, 0.3, 22? 0.3 Suppose 0 = 135*f - 2 + 2. Which is the nearest to -9? (a) 2 (b) 1 (c) f c Let r = -33393/5 + 6678. Which is the nearest to 4? (a) -3 (b) r (c) 3 (d) 53 c Let s = -1829/112 - -275/16. What is the nearest to 0.01 in s, 5, 33? s Let j(f) = f**2 - 9*f - 28. Let v be j(13). Suppose 0*w + w = -3*k - 16, w + 5*k = -v. Which is the closest to 0.1? (a) w (b) -14 (c) -0.2 c Let l = 3545 + -3543. Let g = 2 - 7. Which is the nearest to l? (a) g (b) -0.6 (c) 1 c Let q = 13286 + -13281. Which is the closest to -0.09? (a) q (b) -6 (c) -0.1 c Let g = 27163 - 27165. Which is the closest to 7? (a) g (b) 2/9 (c) 0 (d) -2.1 b Let b = -2.41 + 2.3. Let u = 1.11 + b. Let d = 3172 - 3172.2. What is the closest to 0.3 in d, u, 3/4? 3/4 Let j = -273.9 - -273.9. Which is the nearest to j? (a) 1 (b) -0.1 (c) -109 b Let z = -10 + 9.1. Let n(h) = -h**3 + 3*h**2 + 4*h + 4. Let m be n(4). Let g = 825.8 - 825.9. Which is the nearest to g? (a) m (b) -0.3 (c) z b Let a be 2 - (2 - 3) - (-11 + 0). Suppose 0 = -34*o + 41*o - a. What is the closest to -1/2 in -5, -4/3, o? -4/3 Suppose 5*w = -15, 4*j - 8*j - 3*w = 25. Let g be -4*j/(-16)*-4. What is the nearest to 0.6 in g, -3, -0.4? -0.4 Suppose 5*f - 856 = -3*f. Suppose w - 4 = 0, s - 4*w = -7*w + f. Let i = s - 93. Which is the nearest to 1.5? (a) -5/4 (b) -2 (c) i c Let t = -6417 - -12833/2. Which is the closest to 2/7? (a) t (b) -12 (c) 1/2 c Let g be 4/(-84) + 3/3 + 22/(-77). What is the closest to -40/7 in 5, g, 2? g Let j(y) = 2*y**2 + 61*y + 31. Let f be j(-30). What is the nearest to -2 in 223, f, 0.1? 0.1 Let u = 61 - 61.2. Let z = 0.21 + 1.49. Let f = z + -1.8. What is the closest to 0 in 12, f, u? f Let d = 31915 + -31919. Let s = 1 - 4. What is the closest to s in d, 2/9, 26? d Let v be (-36)/63 + ((-4)/(-98))/(25/175). Which is the closest to -3? (a) v (b) -0.046 (c) -0.3 (d) 5 c Let k = 0.9 + 0.1. Let j = 82 + -351. Let y = 268.8 + j. Which is the nearest to k? (a) y (b) -1/2 (c) 5 a Let p = 211 + -87. Let i = 124.3 - p. Let u = -7 - -2. Which is the nearest to -0.1? (a) 0.5 (b) i (c) u b Let x = -521 - -522. Let m = 1/82 + 239/574. What is the closest to x in -10, -5, m? m Let f = 1751 - 1763. Which is the nearest to -2/9? (a) 13 (b) -5 (c) f (d) 2/13 d Let w = 104 - 202. Let z = w + 98.38. Let g = z - 0.35. Which is the closest to 3/5? (a) 1 (b) 0.4 (c) g b Let w = -703 + 999. Let m = w + -300. Which is the closest to 1.3? (a) m (b) -3 (c) 1/3 (d) 3 c Let w(f) = -f**2 + 25*f - 24. Let l be w(1). Which is the nearest to 13/5? (a) 7 (b) -0.1 (c) l (d) 3 d Let j = -109.89 + 113.89. What is the nearest to 24 in -2, j, 0? j Let n be 2 - 0 - (-7)/(-3). Let u be (-192)/(-576) + 40/105 + -1. What is the closest to n in u, -0.2, -3, -2? u Let w = 475 - 447. Let o be ((-9)/w)/((-18)/21). What is the closest to -2/51 in 2, -1/4, o? -1/4 Let z(r) = -r**3 - 14*r**2 - 51*r - 54. Let n be z(-9). Which is the closest to 0? (a) 4/5 (b) n (c) 1.5 (d) 4 b Let y = 73 - 67.6. Let x = -11 + y. Let o = -5.4 - x. What is the nearest to -1 in -0.2, o, 2/9? -0.2 Suppose 4*h = 6*h - 26*h - 24. Let t = 0.46 - 0.06. Let q = t + -0.3. Which is the closest to q? (a) h (b) 1/5 (c) -0.3 b Let g = 64.051 + -64. Let k = g - -0.749. Let x = 3.37 - 3.17. Which is the nearest to -0.1? (a) k (b) x (c) -0.1 c Let z be ((-96)/(-18))/(-8)*-6. Suppose 3*o - 19 = 2*v, -z*o = -0*v - 3*v - 26. Which is the closest to -0.1? (a) 0 (b) -1 (c) v a Let r = -360 - -392. Let d = 1103 - 1070.93. Let x = d - r. Which is the closest to 2/7? (a) -4/3 (b) x (c) -2/7 b Suppose 21 - 46 = -5*a. Suppose 2*s - 2*o = -0*o + 4, -a*o = -4*s + 9. Suppose -6 = -3*d, 0 = 5*z - 3*d - 0 - 9. What is the closest to s in 2/5, 1, z? 1 Suppose 2*b = -t - 5, -4*b - 5*b - 24 = 5*t. What is the closest to b in -1/2, 6, 5, 1/40? -1/2 Suppose -4*u + 23*u - 931 = 0. Suppose 5*i = u - 54. What is the closest to i in -3, 5, -0.2? -0.2 Let u = -225.4 + 225. Let q = 0.009 - -22.991. Let h = 23.1 - q. What is the nearest to h in 0, -5, u? 0 Let i = -0.09632 + 0.19632. Which is the closest to -0.1? (a) i (b) -0.05 (c) -6 (d) -1/8 d Let i = 0.4711 - -0.5289. What is the closest to 2/19 in 0, 91, i? 0 Suppose -3*f + 723 = 3. Let t = 243 - f. What is the nearest to 2 in t, -5, 4? t Let s be (-23 - -12)*(5 + 20/(-5)). What is the closest to -1 in 0, s, -0.037? -0.037 Suppose -3*n = 4*f + 4660 - 5256, n = -4*f + 580. What is the nearest to 2 in 0.2, 0.7, f? 0.7 Let j be 581/1079*(-2)/3*3/7. What is the closest to j in 2, -2/105, -2? -2/105 Let k = 21.822 + 0.178. Let l = k + -21.9. What is the closest to 3/26 in -3, l, 5? l Let j = 0 - 6. Let h be 4/j*-3 - -8. Let z = -3.025 + 2.925. Which is the closest to z? (a) 2/7 (b) 1 (c) h a Let k be (3/9)/(20/(-15)). Let o = -31.551 + 31.7. Let m = 2.149 - o. What is the closest to -3 in 1, k, m? k Let o = 13 - 18. Let r = -28 - -28.5. Let w = -2.903 + 2.603. Which is the closest to r? (a) w (b) -5/3 (c) o a Let y = 80 - 144. Let w = y - -66. Let r = -0.96 - 0.04. Which is the closest to w? (a) 0.3 (b) -0.1 (c) r a Let i = 37 - 38. Let v = 0.17 + 2.83. Let u be ((-1)/(-27))/((-3)/6). What is the nearest to i in 4, u, v? u Let s = -8.9 - -9.4. Let p = 902 + -901.9. Let d = -0.05 - 0.95. What is the closest to -1 in s, d, p? d Let m be (-102)/(-18) - (-3 + 8). Let x = 0.4 + -0.2. Let u = -43/54 - -323/270. What is the nearest to u in x, m, 0.28? 0.28 Let i = -0.07 - -0.209. Let m = i - 0.539. What is the nearest to -0.3 in m, -2, 5? m Let c = -91 + 90. Let o = 11 - 11. Let z = 3/10 - -1/10. What is the closest to z in c, 3, o? o Let k = -1.01 - -165.01. Let s = 163.95 - k. Which is the closest to s? (a) 1/6 (b) -2/3 (c) -0.3 a Let u = -395 + 398. Let j = 24 + -23.1. What is the closest to 0.2 in 2, j, u? j Let v = 1.22 + 0.28. Let z = v + -6.5. Let q be 75/70*14/12. Which is the nearest to q? (a) z (b) 0.3 (c) 0 b Let m = -21115 - -21116. Which is the nearest to -0.1? (a) -1/468 (b) -0.1 (c) m b Suppose 15*i - 17*i = -12. Let s(j) = -6*j + 37. Let g be s(i). Which is the closest to -4? (a) g (b) 0 (c) 0.07 b Let y = 0.78 - -10.22. Let h = 57 - y. Let u = -44 + h. What is the closest to 0 in 0.1, u, 5? 0.1 Let n(m) = m**2 + 2*m - 23. Let l be n(-6). Let y be (-2)/(-9)*-1 - 1209/(-702). What is the nearest to l in y, -0.2, -0.13? y Let z = 29 - 21. Let n = 509.9055 + 0.0945. Let y = -506 + n
{ "pile_set_name": "DM Mathematics" }
ounded to one dp? 11.6 Let p = -95942 - -95538.63. Let w = -2.37 - p. Let u = 400.693 - w. Round u to 2 dps. -0.31 Let k be (-4 - -2) + -1 + (-32)/(-2). Let x be k/((-234)/1860)*30. What is x rounded to the nearest 1000? -3000 Let k = 9898 - 11564.2. Let d = -1451 - k. Let w = -244 + d. Round w to 0 dps. -29 Let n = 335.5 + -249. Let m = n + -73. Round m to one decimal place. 13.5 Let x(h) = -4*h**2 - 3*h + 36. Let d be (-9)/(81/(-21))*3. Let n be x(d). Round n to the nearest 10. -180 Let q = 232.2431 - -12.8749. Let m = q + -245. Round m to 2 decimal places. 0.12 Let k = -74.005 + 74. Let b = 0.69 - k. Let l = -0.695841 + b. What is l rounded to 4 decimal places? -0.0008 Let v = -0.04837239 + -2586014.95162761. Let k = 2586014.53999888 + v. Let y = -0.46 - k. What is y rounded to 7 dps? 0.0000011 Let g = 0.074 + 52.926. Let y = -16 - g. Let p = 71.28 + y. Round p to the nearest integer. 2 Let t = -24 - -34. Let j = -8 + t. Suppose -c = -3*p - j*p - 49600, 148800 = 3*c + 3*p. Round c to the nearest ten thousand. 50000 Let y(l) = -l**3 + 4*l**2 + 5*l + 1. Let t be y(3). Suppose 117 = -t*p + 24*p. What is p rounded to the nearest 100? -100 Let i = 0.6394 + -0.85911. What is i rounded to two dps? -0.22 Let f = -1522300 + 1522249.21035. Let w = 50.8 + f. What is w rounded to three decimal places? 0.01 Let s be ((-580)/29)/(96/64 - (-58688)/(-39126)). Round s to the nearest ten thousand. -780000 Let u = -434 + 446. Let p be (-1624560035)/42 - (-10)/u. Round p to the nearest one million. -39000000 Let n = -8.028 - -0.028. Let v = n + -150. Let g = v - -143.7. Round g to the nearest integer. -14 Let l = 0.039 - 0.599. Let o = -4.94 + l. Let a = o + 5.500019. What is a rounded to five decimal places? 0.00002 Let d = -560.85 + 541. Let u = d + 19.82787. Let o = -0.02 - u. Round o to 3 decimal places. 0.002 Let m be (-16 - (-6 - -149840))*172. Round m to the nearest 100000. -25800000 Let o = 923.4902 - 4227774.4902. Let t = -4226630.0089 - o. Let u = 221 - t. What is u rounded to three dps? 0.009 Let i = -81.5 - 589.5. Let v = i - -671.0159. Round v to three dps. 0.016 Let f = 857 + -857.325. Let o = f - -0.282. Round o to 3 decimal places. -0.043 Let l = 13204.911272 - 13205. Round l to 2 decimal places. -0.09 Let d = -40 + 39. Let k be d + -2005 + (3 - -1). Let w be (k - -2)/(3 + (-1462)/486). Round w to the nearest ten thousand. 240000 Let m = 1197.6 + -733.9. What is m rounded to the nearest ten? 460 Let w = -423.47479677 + 0.47452477. Let b = 423 + w. What is b rounded to four decimal places? -0.0003 Let j = -16035 + 16035.0011652. Round j to four dps. 0.0012 Let f = -4.47 + 550.47. Let p = 545.998886 - f. Round p to five decimal places. -0.00111 Let u(c) = -251*c**3 + 59*c**2 + 10*c + 240. Let o be u(-36). Round o to the nearest 1000000. 12000000 Let r = -8782.2 + 8586. What is r rounded to the nearest one hundred? -200 Let h = -2961.00002991 + 2961. Round h to six dps. -0.00003 Suppose 4*f + 213 = 5*p - 149, -3*p + 4*f = -214. Suppose -5*b + 3*q = -p, b - 7 = -3*q + q. Suppose 4*v - 63 = b. Round v to the nearest 10. 20 Let c = 299 + 115. Let t = 413.9997276 - c. What is t rounded to 5 decimal places? -0.00027 Let s = 4523 + -4522.990105. Round s to four decimal places. 0.0099 Let z = -4267 + 6403. Let u = z + -2136.0004087. What is u rounded to five decimal places? -0.00041 Let x = 23406.973459 + -23407. Round x to 2 decimal places. -0.03 Let t = -1.2 - -81.2. Let s = 41223731 - 41223811.0000075. Let c = t + s. Round c to 5 dps. -0.00001 Let n = -376 - -381. Let q = n - 5.383. What is q rounded to one dp? -0.4 Suppose -34*l = 7034429462 + 6945656538. What is l rounded to the nearest 1000000? -411000000 Suppose 0 = 3*v - i + 19, -2*v = -4*i + 6 + 10. Let a(o) = 23472*o**2 + o + 14. Let y be a(v). What is y rounded to the nearest 10000? 850000 Let z(f) be the first derivative of -f**4/2 + f**3 + 2*f**2 - 7*f - 6. Let l = 57 - 54. Let q be z(l). What is q rounded to the nearest ten? -20 Let v = -0.19703868 + 1063.11473868. Let n = v - 1063. Let m = 0.08230437 + n. What is m rounded to six decimal places? 0.000004 Suppose 2*o = -2*v + 596859992, -2235*v + 2233*v = -4*o - 596860016. Round v to the nearest one million. 298000000 Let r be 2 + -1 + 1 - (-10 - -8). Suppose 4*d - 620 = r*q, -2*q + 4*d = -0*d + 314. What is q rounded to the nearest ten? -150 Let o = 3693 + -3692.9999031. Round o to 5 decimal places. 0.0001 Let a = -339 - -57. Let n = 173 + a. Let k = 109.071 + n. Round k to two dps. 0.07 Let u = 2606.78 - 149.18. Round u to the nearest 100. 2500 Let i = 133 - -14. Let t = i + -256. Let s = -109.077 - t. What is s rounded to two decimal places? -0.08 Suppose -4*c = -85172 - 81336. Round c to the nearest one hundred. 41600 Suppose 255981 - 928061 = -12*q - 19*q. What is q rounded to the nearest ten thousand? 20000 Let u = 162 + -189.8. Let k = 27.8000769 + u. Round k to 6 decimal places. 0.000077 Let a = 22 + 40. Let h be (9/(45/a))/(4/60). Round h to the nearest one hundred. 200 Let u = -413.043909451 - -0.045719451. Let a = 411 + 2. Let w = u + a. What is w rounded to 4 dps? 0.0018 Let a = -331 - -479. Let p = 148.00000275 - a. Round p to 6 decimal places. 0.000003 Suppose -101*p + 299757 = -477539. Round p to the nearest one hundred. 7700 Let w = 4785.00379 + -4785. What is w rounded to 3 dps? 0.004 Let r(c) = 2*c**2 + 23 + c - 7 - 14 - c**2. Let h be r(0). Suppose 0 = h*y - y - 1, 2*y + 274 = -z. What is z rounded to the nearest 100? -300 Let d = -337 + 334.225. Let j = -0.445 - d. What is j rounded to zero decimal places? 2 Let j = -50.261 + -5227.639. Round j to the nearest 1000. -5000 Let o = 258005.737 - 259132. Let c = o - -1125. Round c to two dps. -1.26 Let r = 25063.335 - 18.235. What is r rounded to the nearest 1000? 25000 Let z = 16.77 + 0.23. Let j = z + 5. Let b = j + -22.00344. What is b rounded to three dps? -0.003 Let d = 372 + -136. Suppose -w - 29 = d. What is w rounded to the nearest 10? -270 Let p = -1578 - -1568.998. Let v = p - -10.2. What is v rounded to 1 decimal place? 1.2 Let t = -1519 + 1380.9. Let h = t - -138.0998014. What is h rounded to 5 decimal places? -0.0002 Let d = -61365.07 - -60729. Let z = d - -630. Round z to one dp. -6.1 Let t = 103272.43 - 108259.9. Let k = 4989.55327 + t. Let m = k + -2.08. What is m rounded to three dps? 0.003 Let v = -101 + 59. Let l be (-118564770)/v - (16/14)/(-4). Let f = l - 1422971. What is f rounded to the nearest one million? 1000000 Suppose 35*c - 83996114 = 33*c. Suppose 2*p - 9058057 + c = 0. Round p to the nearest 1000000. -16000000 Let v(f) = 3*f**2 + f + 2. Let w be v(0). Let s(n) be the first derivative of 533333*n**3 + n**2 - 1. Let q be s(w). Round q to the nearest 1000000. 6000000 Let m = 713.2 + -713.110025. Round m to 2 dps. 0.09 Let n = -0.0603 - -242.0603. Let r = -263.6 + n. What is r rounded to the nearest integer? -22 Suppose m - 17 = -12. Suppose m*d - d = 1860000. Suppose -2*x + 347531 = 2*s + 37531, 0 = -3*x - s + d. What is x rounded to the nearest ten thousand? 160000 Let i = 55.8078 - -0.2122. Let o = i - 53.197. Let h = -2.97 + o. Round h to one dp. -0.1 Let a = 6866 - 6866.0010511. What is a rounded to 5 decimal places? -0.00105 Let z = 505.2800027279 - 505.28. What is z rounded to 7 decimal places? 0.0000027 Let c = -1641699.2257 + 1641916. Let v = -0.3257 - c. Let d = v - -230. What is d rounded to zero decimal places? 13 Let s = -2900180.53388 - -2900407.533879557. Let d = s + -227. What is d rounded to seven decimal places? -0.0000004 Let j(l) be the third derivative of 1717*l**6/120 + l**5/60 + l**4/8 + l**3/3 - 46*l**2. Let r be j(-1). What is r rounded to the nearest 100? -1700 Let b = -3.9 + -25.1. Let w = -87783039 + 87783010.0000015. Let l = w - b. What is l rounded to 6 decimal places? 0.000002 Let r = 84.113 + -0.113. Let y = -58205.0195 + 58289. Let t = r - y. Round t to three dps. 0.02 Suppose -s + 5*h + 29 = 0, 2*s + 2*h - 14 = h. Let m(n) = -4*n**3 - 7*n**2 - 10*n + 4. Let x be m(s). Let o = -569 - x. Round o to the nearest ten thousand. 0 Let k = -0.0616 - 0.0964. Let t = -1316.1679 - -1316. Let o = t - k. Round o to 3 dps. -0.01 Let l be -2 - 2 - 1*-29. Let i = 25 - l. Suppose 2*v - f + 5882 = i, 2*f = 3*v + f + 8822. What
{ "pile_set_name": "DM Mathematics" }
, 898904? 1427575 What is the next term in -884, 152, 1170, 2152, 3080, 3936? 4702 What is the next term in 96105, 94941, 93767, 92577, 91365? 90125 What comes next: -828647, -3314563, -7457759, -13258235, -20715991, -29831027, -40603343? -53032939 What comes next: -71022, -70570, -70118, -69666? -69214 What is next in -1906, -7710, -17404, -30982, -48438, -69766? -94960 What is next in -23432, -46816, -70174, -93494, -116764, -139972? -163106 What is the next term in 234620, 469143, 703666, 938189, 1172712, 1407235? 1641758 What comes next: 793, 834, 927, 1072, 1269, 1518? 1819 What is next in -2270840, -9083361, -20437564, -36333449? -56771016 What is next in -387252, -387562, -387872, -388182, -388492, -388802? -389112 What comes next: -899103, -899137, -899171, -899205, -899239? -899273 What comes next: 2269669, 4539176, 6808681, 9078184? 11347685 What comes next: 840, 2399, 6560, 14625, 27896? 47675 What comes next: 102613, 102517, 102255, 101743, 100897, 99633? 97867 What comes next: -57529, -230403, -518525, -921895, -1440513, -2074379, -2823493? -3687855 What is next in -430741, -430929, -431117? -431305 What comes next: -40536, -84021, -127500, -170973, -214440, -257901, -301356? -344805 What is the next term in -10368, -41354, -92996, -165294, -258248? -371858 What is next in -12374981, -24749956, -37124927, -49499894, -61874857, -74249816, -86624771? -98999722 What is the next term in -101879859, -101879862, -101879865, -101879868? -101879871 What is the next term in -135021, -135109, -135197, -135285, -135373, -135461? -135549 What is the next term in -15152, -15132, -15116, -15104, -15096, -15092, -15092? -15096 What is the next term in 8009805, 8009822, 8009839? 8009856 What is the next term in -2082, -1225, 206, 2211, 4790, 7943? 11670 What is next in 28254, 29160, 30066? 30972 What comes next: -12503, -24891, -37279, -49667, -62055, -74443? -86831 What is next in 157753, 157843, 157915, 157963, 157981, 157963, 157903? 157795 What comes next: 1439526, 1439523, 1439520, 1439517, 1439514? 1439511 What comes next: -2432720, -2432726, -2432732, -2432738, -2432744? -2432750 What is next in 63261713, 126523434, 189785155, 253046876, 316308597, 379570318? 442832039 What is the next term in 300271, 300140, 299929, 299638? 299267 What is the next term in 71360, 142798, 214236, 285674, 357112? 428550 What is the next term in 40996358, 40996359, 40996360, 40996361, 40996362? 40996363 What comes next: 766, 3781, 9030, 16513? 26230 What comes next: -147545, -148843, -150141, -151439, -152737? -154035 What is the next term in -1108, -1461, -2100, -3067, -4404, -6153, -8356? -11055 What comes next: -27227208, -27227206, -27227202, -27227196, -27227188, -27227178? -27227166 What is next in -398, -176, 164, 616, 1174? 1832 What comes next: 315, 701, 1143, 1665, 2291, 3045? 3951 What is next in -4472210, -4472196, -4472174, -4472144, -4472106, -4472060? -4472006 What is the next term in 2082698116, 2082698115, 2082698114? 2082698113 What is the next term in 15213, 59993, 134377, 238365, 371957? 535153 What comes next: -23299917, -23299905, -23299895, -23299887? -23299881 What is next in -19951, -39739, -59539, -79357, -99199, -119071, -138979? -158929 What is the next term in 3952874, 7905738, 11858602? 15811466 What is next in -287206, -574367, -861482, -1148557, -1435598, -1722611, -2009602, -2296577? -2583542 What is the next term in -38683, -154168, -346455, -615544, -961435, -1384128? -1883623 What is the next term in 9023, 71989, 242853, 575549, 1124011, 1942173, 3083969? 4603333 What comes next: 121106, 242150, 363192, 484232, 605270, 726306? 847340 What comes next: 827762, 1655574, 2483386, 3311198, 4139010? 4966822 What is next in -6583972, -6583973, -6583974? -6583975 What is next in 2746881, 2746891, 2746907, 2746929, 2746957, 2746991? 2747031 What is the next term in -66124, -130739, -195352, -259963? -324572 What is next in -2432, -9828, -22164, -39440, -61656, -88812? -120908 What comes next: -38846, -38872, -38904, -38942, -38986, -39036, -39092? -39154 What is next in 1904064, 1904063, 1904062, 1904061, 1904060? 1904059 What is the next term in -108431250, -108431249, -108431248, -108431247, -108431246, -108431245? -108431244 What comes next: -2548162, -10192736, -22933694, -40771036? -63704762 What is the next term in -71912, -143871, -215860, -287885, -359952, -432067, -504236, -576465? -648760 What is next in -899805, -1799613, -2699421? -3599229 What comes next: 24937, 99868, 224743, 399556, 624301, 898972, 1223563? 1598068 What comes next: 1995076, 1995064, 1995044, 1995016, 1994980? 1994936 What is the next term in -33511, -33234, -32957, -32680? -32403 What is the next term in -2174957, -4349916, -6524875, -8699834, -10874793? -13049752 What is the next term in -12961949, -12961947, -12961935, -12961907, -12961857, -12961779, -12961667? -12961515 What is next in -25086612, -25086608, -25086606, -25086606, -25086608, -25086612? -25086618 What is the next term in -128841553, -128841552, -128841551, -128841550, -128841549? -128841548 What comes next: 7234306, 14468613, 21702920, 28937227, 36171534, 43405841? 50640148 What is the next term in 4459, 16940, 37825, 67114, 104807? 150904 What is next in -405607, -405500, -405393, -405286? -405179 What comes next: 7, -1411, -5731, -14405, -28885? -50623 What comes next: -204406, -204342, -204278, -204214, -204150? -204086 What is the next term in 57254, 57412, 57570, 57728, 57886, 58044? 58202 What is next in -1620685, -1620666, -1620647, -1620628? -1620609 What is the next term in 43229945, 86459895, 129689845, 172919795, 216149745, 259379695? 302609645 What is next in 23579, 22853, 22141, 21443, 20759, 20089, 19433? 18791 What is the next term in -9293, -18571, -27851, -37133, -46417? -55703 What is the next term in 108939, 109099, 109257, 109413? 109567 What is next in 37025, 74087, 111129, 148151, 185153, 222135, 259097? 296039 What comes next: 118, 265, 444, 673, 970? 1353 What comes next: -1227277, -1227452, -1227919, -1228822, -1230305, -1232512, -1235587, -1239674? -1244917 What comes next: -6830173, -6830166, -6830155, -6830140? -6830121 What comes next: -54795, -54707, -54465, -53991, -53207, -52035? -50397 What comes next: 9773, 19391, 28807, 37919, 46625, 54823, 62411? 69287 What is next in -853, -980, -1287, -1852, -2753, -4068, -5875, -8252? -11277 What is next in 2230, 9176, 20802, 37102, 58070, 83700, 113986, 148922? 188502 What is the next term in -4906, -5246, -5586, -5926, -6266? -6606 What comes next: -277992, -556047, -834102, -1112157, -1390212, -1668267? -1946322 What is next in 13868, 14313, 14772, 15251, 15756, 16293, 16868, 17487? 18156 What comes next: 5599, 6694, 7963, 9406, 11023? 12814 What is next in 6208, 5315, 2916, -1733, -9376, -20757, -36620, -57709? -84768 What is next in -341023035, -341023039, -341023043, -341023047? -341023051 What is next in 34699, 138966, 312751, 556054, 868875, 1251214? 1703071 What is the next term in -34950, -139994, -315126, -560346, -875654, -1261050, -1716534? -2242106 What is next in 7611641, 15223287, 22834929, 30446567, 38058201? 45669831 What is next in 778049, 1556203, 2334357? 3112511 What is next in -197771, -791242, -1780361, -3165128? -4945543 What is the next term in -112528, -224158, -335788, -447418, -559048, -670678? -782308 What is next in -42011471, -42011473, -42011477, -42011483, -42011491, -42011501, -42011513? -42011527 What is next in 2251, 5618, 10159, 15862, 22715? 30706 What is next in 126985, 253833, 380681, 507529? 634377 What comes next: 537430, 2149592, 4836528, 8598244, 13434746, 19346040, 26332132? 34393028 What is the next term in 78838256, 78838269, 78838282, 78838295, 78838308? 78838321 What is next in 728881, 728876, 728867, 728854, 728837, 728816, 728791? 728762 What is the next term in 1670, 1116, 524, -124, -846, -1660, -2584? -3636 What is next in 23871, 24441, 25011, 25581, 26151? 26721 What is the next term in -3212, -1380, 458, 2302, 4152, 6008? 7870 What is next in 88893433, 177786849, 266680267, 355573687, 444467109, 533360533? 622253959 What is the next term in 2880, 5488, 8098, 10710? 13324 What comes next: -436243275, -436243273, -436243271, -436243269, -436243267? -436
{ "pile_set_name": "DM Mathematics" }
of 1/9, to the nearest integer? 4 What is 2349 to the power of 1/7, to the nearest integer? 3 What is the cube root of 23018 to the nearest integer? 28 What is 10534 to the power of 1/10, to the nearest integer? 3 What is 15406 to the power of 1/3, to the nearest integer? 25 What is the fourth root of 630 to the nearest integer? 5 What is the seventh root of 2671 to the nearest integer? 3 What is the square root of 1074 to the nearest integer? 33 What is 17278 to the power of 1/5, to the nearest integer? 7 What is 11402 to the power of 1/10, to the nearest integer? 3 What is 18453 to the power of 1/5, to the nearest integer? 7 What is the square root of 10853 to the nearest integer? 104 What is the third root of 9408 to the nearest integer? 21 What is the third root of 13740 to the nearest integer? 24 What is the third root of 33741 to the nearest integer? 32 What is the fourth root of 896 to the nearest integer? 5 What is 760 to the power of 1/2, to the nearest integer? 28 What is the sixth root of 1811 to the nearest integer? 3 What is 1523 to the power of 1/3, to the nearest integer? 12 What is the square root of 1036 to the nearest integer? 32 What is the third root of 448 to the nearest integer? 8 What is 3569 to the power of 1/2, to the nearest integer? 60 What is the tenth root of 549 to the nearest integer? 2 What is the third root of 61686 to the nearest integer? 40 What is the cube root of 31937 to the nearest integer? 32 What is 88083 to the power of 1/6, to the nearest integer? 7 What is 6154 to the power of 1/2, to the nearest integer? 78 What is the tenth root of 141 to the nearest integer? 2 What is 1359 to the power of 1/4, to the nearest integer? 6 What is 12227 to the power of 1/2, to the nearest integer? 111 What is the cube root of 548 to the nearest integer? 8 What is 588 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 29769 to the nearest integer? 4 What is the tenth root of 8348 to the nearest integer? 2 What is the eighth root of 2713 to the nearest integer? 3 What is 140328 to the power of 1/2, to the nearest integer? 375 What is the third root of 142 to the nearest integer? 5 What is 242 to the power of 1/5, to the nearest integer? 3 What is 3011 to the power of 1/2, to the nearest integer? 55 What is 2790 to the power of 1/3, to the nearest integer? 14 What is 5304 to the power of 1/3, to the nearest integer? 17 What is 90205 to the power of 1/2, to the nearest integer? 300 What is the third root of 3997 to the nearest integer? 16 What is 52308 to the power of 1/6, to the nearest integer? 6 What is 24164 to the power of 1/3, to the nearest integer? 29 What is the sixth root of 2118 to the nearest integer? 4 What is the third root of 1008 to the nearest integer? 10 What is 257 to the power of 1/3, to the nearest integer? 6 What is the cube root of 2262 to the nearest integer? 13 What is the square root of 116 to the nearest integer? 11 What is 747 to the power of 1/2, to the nearest integer? 27 What is 9817 to the power of 1/2, to the nearest integer? 99 What is 2820 to the power of 1/2, to the nearest integer? 53 What is 26253 to the power of 1/4, to the nearest integer? 13 What is the ninth root of 62590 to the nearest integer? 3 What is 721 to the power of 1/2, to the nearest integer? 27 What is the square root of 18159 to the nearest integer? 135 What is 147031 to the power of 1/6, to the nearest integer? 7 What is 689 to the power of 1/4, to the nearest integer? 5 What is the sixth root of 15990 to the nearest integer? 5 What is 65294 to the power of 1/4, to the nearest integer? 16 What is 7103 to the power of 1/3, to the nearest integer? 19 What is 10470 to the power of 1/9, to the nearest integer? 3 What is 217 to the power of 1/2, to the nearest integer? 15 What is the square root of 1263 to the nearest integer? 36 What is 792 to the power of 1/2, to the nearest integer? 28 What is the fourth root of 57032 to the nearest integer? 15 What is 7413 to the power of 1/3, to the nearest integer? 19 What is 17806 to the power of 1/7, to the nearest integer? 4 What is 1016 to the power of 1/7, to the nearest integer? 3 What is 855 to the power of 1/2, to the nearest integer? 29 What is the seventh root of 105126 to the nearest integer? 5 What is 1910 to the power of 1/4, to the nearest integer? 7 What is 5954 to the power of 1/3, to the nearest integer? 18 What is 27999 to the power of 1/2, to the nearest integer? 167 What is the ninth root of 18118 to the nearest integer? 3 What is the ninth root of 1018 to the nearest integer? 2 What is the cube root of 18534 to the nearest integer? 26 What is 37964 to the power of 1/3, to the nearest integer? 34 What is the seventh root of 164 to the nearest integer? 2 What is the square root of 996 to the nearest integer? 32 What is 106777 to the power of 1/2, to the nearest integer? 327 What is the eighth root of 2552 to the nearest integer? 3 What is 24630 to the power of 1/2, to the nearest integer? 157 What is 823 to the power of 1/3, to the nearest integer? 9 What is 787 to the power of 1/3, to the nearest integer? 9 What is 51539 to the power of 1/3, to the nearest integer? 37 What is 8509 to the power of 1/4, to the nearest integer? 10 What is 3023 to the power of 1/4, to the nearest integer? 7 What is 143162 to the power of 1/3, to the nearest integer? 52 What is the sixth root of 40656 to the nearest integer? 6 What is the fifth root of 2019 to the nearest integer? 5 What is 240 to the power of 1/2, to the nearest integer? 15 What is 2971 to the power of 1/2, to the nearest integer? 55 What is the cube root of 6137 to the nearest integer? 18 What is 2376 to the power of 1/3, to the nearest integer? 13 What is 439 to the power of 1/2, to the nearest integer? 21 What is the cube root of 5901 to the nearest integer? 18 What is the cube root of 229 to the nearest integer? 6 What is the sixth root of 83947 to the nearest integer? 7 What is the third root of 11957 to the nearest integer? 23 What is 1330 to the power of 1/8, to the nearest integer? 2 What is 9870 to the power of 1/8, to the nearest integer? 3 What is 10395 to the power of 1/4, to the nearest integer? 10 What is 559 to the power of 1/2, to the nearest integer? 24 What is 25294 to the power of 1/9, to the nearest integer? 3 What is the square root of 658 to the nearest integer? 26 What is the third root of 11904 to the nearest integer? 23 What is the third root of 36936 to the nearest integer? 33 What is the square root of 3421 to the nearest integer? 58 What is the square root of 3268 to the nearest integer? 57 What is the square root of 2090 to the nearest integer? 46 What is 6215 to the power of 1/5, to the nearest integer? 6 What is the cube root of 5469 to the nearest integer? 18 What is the third root of 498 to the nearest integer? 8 What is the square root of 622 to the nearest integer? 25 What is the ninth root of 10983 to the nearest integer? 3 What is 856 to the power of 1/10, to the nearest integer? 2 What is the third root of 4181 to the nearest integer? 16 What is 7491 to the power of 1/2, to the nearest integer? 87 What is the third root of 131390 to the nearest integer? 51 What is the third root of 2567 to the nearest integer? 14 What is 52417 to the power of 1/6, to the nearest integer? 6 What is the tenth root of 12816 to the nearest integer? 3 What is the eighth root of 1639 to the nearest integer? 3 What is 1597 to the power of 1/8, to the nearest integer? 3 What is 55575 to the power of 1/2, to the nearest integer? 236 What is 302 to the power of 1/2, to the nearest integer? 17 What is the third root of 1033 to the nearest integer? 10 What is the square root of 2260 to the nearest integer? 48 What is the third root of 3621 to the nearest integer? 15 What is 6697 to the power of 1/2, to the nearest integer? 82 What is the ninth root of 3312 to the nearest integer? 2 What is 7446 to the power of 1/2, to the nearest integer? 86 What is the cube root of 16290 to the nearest integer? 25 What is 930 to the power of 1/2, to the nearest integer? 30 What is the tenth root of 1200 to the nearest integer? 2 What is 2055 to the power of 1/2, to the nearest integer? 45 What i
{ "pile_set_name": "DM Mathematics" }
0.24 (e) 0.03 d What is the biggest value in -7/4, 174/37, 13/6? 174/37 What is the biggest value in -0.482, 531, -2/17, -3, 0.2? 531 What is the third biggest value in -0.2, -26, -24, 6, -8, 14/3? -0.2 Which is the second smallest value? (a) 9/10 (b) -926.5 (c) 1 (d) -0.2 (e) -1 e Which is the smallest value? (a) 0 (b) -1.403 (c) 1 (d) 1/4 (e) 255 b Which is the third smallest value? (a) -0.5 (b) 19.9 (c) 1/55190 b What is the smallest value in 2/91, -0.35, -2, -18605? -18605 Which is the second biggest value? (a) 3.2 (b) -312 (c) -0.5 (d) -0.027 d What is the second biggest value in 953, 27, 125, 0? 125 What is the second smallest value in 3, -2/9, 1673/5, -4.1, 0.039, 0.5? -2/9 Which is the fourth smallest value? (a) 2 (b) -4/7 (c) 0 (d) -5/8 (e) 4/7 (f) -2/7 c Which is the second biggest value? (a) -4 (b) 0 (c) -28643 a Which is the biggest value? (a) -3 (b) -3123 (c) 2/29 c Which is the fourth smallest value? (a) 3/14 (b) 0.136 (c) 0.02 (d) -0.5 (e) -0.4 (f) 5 b Which is the second smallest value? (a) 0.5 (b) -7 (c) -1/4 (d) 2 (e) 1/727 (f) 35 c What is the third biggest value in 5, -54.9, -0.347, -1.82? -1.82 Which is the fourth smallest value? (a) -2 (b) -4/7 (c) 0.326 (d) -8 (e) -1 b Which is the third smallest value? (a) -1833.7 (b) -0.31 (c) 2/13 c What is the fifth smallest value in 2, 303/2, 0.24, -3, -1.17, 5? 5 Which is the third smallest value? (a) -10 (b) 3 (c) -0.04 (d) -3/4 (e) 2/11 (f) -2/603 c What is the second biggest value in -0.1, 0.2, 7, -2649, -4, -1/8? 0.2 Which is the second smallest value? (a) -2/4149 (b) 0 (c) -779 a Which is the fourth smallest value? (a) 3 (b) -1/8 (c) -10 (d) -91 (e) -1/3 (f) 0 (g) -1955/3 e Which is the fifth smallest value? (a) -2 (b) -0.5 (c) -3 (d) -0.1 (e) 10.3 (f) -0.3 (g) -48/11 f What is the third biggest value in 10, -3/82, 2/3379? -3/82 What is the second smallest value in 0.08, 0.1, -1469, 1.5? 0.08 Which is the smallest value? (a) 254/131 (b) -87 (c) -2/5 b What is the fourth biggest value in 25, -2, -2/11, -1/6, -93.7, 2/3? -2/11 What is the second smallest value in -1, -12143511, 0, 0.4? -1 Which is the second smallest value? (a) 0.4 (b) 1869505.45 (c) -2/5 a What is the third smallest value in -1, 0.28, -19, 1182, 5, 1? 0.28 What is the second biggest value in 3, 5/159, -1183, 2/3, 0.4? 2/3 Which is the second smallest value? (a) -4 (b) 6/7 (c) -0.4 (d) -3950 (e) -3 (f) 2/19 a Which is the fourth smallest value? (a) 1002 (b) -0.3 (c) 2/3 (d) -4/313 a Which is the fourth biggest value? (a) -5 (b) 2 (c) -526560/7 (d) -0.1 c What is the third smallest value in 9, -10580, -0.3? 9 Which is the third smallest value? (a) 2 (b) 13 (c) 26 (d) 0.48 (e) -5 (f) -8/11 d Which is the fourth smallest value? (a) 3440 (b) -2/9 (c) -0.355 (d) -5 a Which is the fifth smallest value? (a) 5 (b) -17 (c) -4/5 (d) 10 (e) -19.9 (f) 0.31 a What is the fifth smallest value in -0.4, 4, 82/25, 5/3, 0.51? 4 What is the sixth smallest value in 2/35, 0.05, 0.23, 3, -0.37, 9? 9 What is the fourth biggest value in -0.11, 0.7, 4, 87, 6, 1/4, 0? 0.7 What is the smallest value in 4, -0.14, 0.4, -3898.8? -3898.8 What is the third smallest value in 0.59, 1, -0.2, 10546, -2, 14? 0.59 Which is the fourth biggest value? (a) 4 (b) -1 (c) -5 (d) -25 (e) 700 (f) 0.1 b What is the biggest value in 90, -15, -6.3? 90 Which is the sixth smallest value? (a) 3 (b) -49 (c) 1 (d) 496 (e) -5 (f) -1/11 d What is the fifth biggest value in 1/4, -8/3, 400, 0.2, 13, 0.7, -0.06? 0.2 Which is the smallest value? (a) 0 (b) -1/6 (c) -3 (d) -10 (e) -14 (f) -0.09 (g) 2/75 e Which is the smallest value? (a) -1/3 (b) -15684 (c) -121 b What is the fifth smallest value in -12, 170, 4, 5, 0.2, -6? 5 What is the fourth smallest value in -0.29, 2/9, -5, 0.2, 3/22, -38/3, 5? 3/22 Which is the fourth biggest value? (a) -2/67 (b) 1 (c) 2/9 (d) 2/173 (e) -0.18 (f) 2/3 d What is the fifth smallest value in 1, -0.034, 4/9, 7, -116? 7 Which is the second biggest value? (a) -1/62 (b) 4 (c) -1/473 (d) -57 c Which is the fifth biggest value? (a) 26809 (b) -0.4 (c) -0.29 (d) -1 (e) 0.1 (f) 2 b What is the smallest value in 0.1, 0, 0.01795, -1/106, -5? -5 Which is the smallest value? (a) -1/6 (b) 3 (c) 54 (d) -21294 d Which is the fifth smallest value? (a) -2.54 (b) -27 (c) 0.1 (d) 1 (e) -0.5 (f) -2 c What is the fourth smallest value in -1/10, -0.5, 2, -1/5, -1485315? -1/10 Which is the second biggest value? (a) -2162/5 (b) -3/7 (c) 0.143 (d) -3/4 (e) -1/2 b What is the fourth smallest value in -0.09, 21/2, 2/13, -6/17, 2/933, -0.16? 2/933 What is the second biggest value in -18, 2/15, -1, 134.07? 2/15 What is the third biggest value in 57.1, 2/19, -4, 1.6, -5, 22, 2? 2 Which is the second smallest value? (a) 4612 (b) 5 (c) -36.6 (d) 0.3 d Which is the biggest value? (a) 0.2 (b) 2/19 (c) 8/3 (d) 2 (e) 2/1381 (f) 2/17 c Which is the third biggest value? (a) -7 (b) 1/6 (c) 1 (d) 1/60 (e) -0.2 (f) 0.3 (g) -1 b Which is the third biggest value? (a) -347 (b) -1 (c) 17/3 (d) -294 (e) -0.5 (f) -4/5 f Which is the smallest value? (a) -288 (b) 2.923 (c) -5/2 a Which is the biggest value? (a) -5294 (b) 1.55 (c) -0.39 b What is the smallest value in -5, 22305, -24/5? -5 What is the second biggest value in 1/6, -1/3, -0.045288? -0.045288 Which is the fifth smallest value? (a) -0.11 (b) -5 (c) -10/3 (d) -2/3 (e) 4 (f) -4 (g) -2.284 d Which is the second biggest value? (a) 829 (b) 0.2 (c) 0 (d) -2/11 (e) -0.02 (f) 1/7 (g) 0.03 b Which is the biggest value? (a) 0.3 (b) -46/7 (c) 260/243 c Which is the fourth biggest value? (a) 3 (b) 2/93 (c) -1/12 (d) -24 (e) 5 (f) -0.5 (g) 2/3 b Which is the smallest value? (a) 2/3 (b) 153775 (c) 2 a Which is the biggest value? (a) -1.6 (b) 1.2 (c) -3.6 (d) -17 (e) -38/7 b Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 1/2 (d) 1498864 b What is the fifth biggest value in -0.1, 1/5, -0.5, -4, 242699? -4 Which is the third smallest value? (a) 9 (b) -3 (c) -0.05375 a Which is the third smallest value? (a) -2259 (b) -6 (c) -2/5 (d) -9 (e) -4 b Which is the sixth smallest value? (a) -4/5 (b) -1/51 (c) -0.5 (d) 2/13 (e) -1 (f) -3 (g) -7 b What is the third smallest value in -1/13, -1.5, 79, 0, 16? 0 Which is the fourth smallest value? (a) -2 (b) 0.6 (c) 2423 (d) -28 (e) 2/27 (f) -0.1 e What is the third biggest value in -1.7, 2/13, 25, 1.0104, -3, 0.1? 2/13 What is the second biggest value in 19/9, -0.5, -2, -27, -3.1? -0.5 What is the third smallest value in -0.9, -0.1068, -8, 26? -0.1068 Which is the third smallest value? (a) -5 (b) -2/43243 (c) -3188 b What is the second biggest value in -1380.41, -2/51, 0, 3? 0 Which is the third smallest value? (a) -4 (b) 130/17 (c) -12 b What is the biggest value in -2.8, -35.97, -23? -2.8 What is the fifth biggest value in -1/10, -1/7, -5, 23/5, 0, -2/1169, 2? -1/10 What is the second biggest value in 2, 5, -0.1, -49, -0.3153, -4? 2 What is the second biggest value in -3, -0.027521, -0.8, 0.4? -0.027521 What is the second biggest value in 1, 28157220.4, 4? 4 What is the second smallest value in 0.04, 170, -2813, -1/3? -1/3 What is the second smallest value in 0.5, 1/3, -22/4991, 7, -3, -5? -3 What is the fourth biggest value in 0.1, -4/53, 0, -3.434, 0.02? -4/53 Which is the smallest value? (a) -21620 (b) -3 (c) 0.4 a What is the biggest value in -278.4, -70.22, -5, 5? 5 Which is the third biggest value? (a) 0.2 (b) 3/7 (c) -0.1 (d) -10 (e) -526 (f) -5 (g) 3 a Which is the second smallest value? (a) -4 (b) -2/3 (c) -0.0982 (d) -97 (e) -5/2 (f) 0 a What is the biggest value in 4085, -8, -0.24? 4085 What is the sixth smallest value in -7940, 0, 3, 2/5, -1, 2? 3 Which is the third biggest value? (a) -10/11 (b) 162892 (c) -0.3 a Which is the third biggest value? (a) -1117.06 (b) 0 (c) 12 a What is the third smallest value in 16579, 0.06, -1/3, 5? 5 Which is the third biggest value? (a) -112 (b) 3308/3 (c) -1 a What is the second smallest value in 39, -17, -5, 7883, 3, 1/4, 0? -5 What is the second smallest value in -144, 8,
{ "pile_set_name": "DM Mathematics" }
l**6 + 0*l**3 + 0 + 1/252*l**7 + 1/72*l**4 + 32*l - 1/120*l**5. What is c in u(c) = 0? -1, 0, 1 Suppose 2*z + 3*r - 18 - 5 = 0, 0 = 3*z + 3*r - 33. Suppose -42 + z = -8*m. Suppose 11/4*w**2 + 1/2*w + 21/4*w**3 + 0 + 5/4*w**5 + 17/4*w**m = 0. Calculate w. -1, -2/5, 0 Let a(q) = -191*q + 2676. Let c be a(14). Determine z so that 2/7*z**3 - 4/7*z**c + 0*z + 2/7*z**4 + 0 = 0. -2, 0, 1 Let m = 754 - 752. Let q(f) be the first derivative of 1/2*f**3 - 7 + 1/10*f**5 + 0*f - 3/8*f**4 - 1/4*f**m. Factor q(h). h*(h - 1)**3/2 Factor 768 + 3*o**4 + 2240*o + 4612/3*o**2 - 140*o**3. (o - 24)**2*(3*o + 2)**2/3 Let v be 94/141 + 14/(-30). Suppose 2/5 - 1/5*g**2 - v*g = 0. Calculate g. -2, 1 Suppose 18*k - 6*k = 10*k. Let s(j) be the third derivative of 0*j + 2*j**2 + 0 + k*j**3 - 1/30*j**5 + 1/12*j**4. Determine v so that s(v) = 0. 0, 1 Let b(v) be the second derivative of -v**4/8 - 7*v**3 - 147*v**2 - 2*v + 32. Let b(i) = 0. Calculate i. -14 Suppose 6 = 5*a - 4. Let u(y) be the first derivative of 4 - 2*y**3 + 12*y + y**a - 12*y. Solve u(w) = 0 for w. 0, 1/3 Let d be (-3 + (-39)/(-12)*542)/3. Let v = d + -584. Factor -1/3 - 10/3*p**2 - v*p - 3/2*p**3. -(p + 1)**2*(9*p + 2)/6 Let k be (-9)/6*(-4)/1. Suppose -4*q + 30 + k = 0. Factor -3*g**5 + g - 6*g**2 + 6*g**3 + 5*g - q*g + 3 + 3*g**4. -3*(g - 1)**3*(g + 1)**2 Let f(j) = -2*j**3 + 18*j**2 + 19*j + 12. Let s be f(10). Determine p, given that 4/7*p - 6/7 + 2/7*p**s = 0. -3, 1 Let i = -12 + 17. Suppose 0 = -i*d + 5. Find u such that 4*u**3 + u**4 + 2*u - 2*u**3 - 4*u**3 + d - 2*u**4 = 0. -1, 1 Let -39*o - 38*o**2 + 10*o**2 - 68*o**3 - 14*o**4 - 34*o**2 - 42*o**2 - 9*o = 0. Calculate o. -2, -6/7, 0 Let a(q) be the third derivative of 0*q - 1/84*q**8 - 2/3*q**3 + 4*q**2 + 1/15*q**6 + 2/15*q**5 - 1/6*q**4 - 2/105*q**7 + 0. Suppose a(y) = 0. Calculate y. -1, 1 Let s(r) be the first derivative of 0*r**3 + 0*r**2 - 4 - 1/6*r**4 - 2*r. Let w(a) be the first derivative of s(a). Factor w(g). -2*g**2 Let i(k) = 0*k**2 - k**3 - 2*k**2 + 4 + k - 5*k**2 + 8*k**2. Let o be i(0). Factor 2*v**5 - v**3 + 0*v**3 + 4*v - 4*v**2 + 2*v**o + 2 - 2*v - 3*v**3. 2*(v - 1)**2*(v + 1)**3 Suppose -26*b - 35 + 77 = -12*b. Determine f, given that 2*f**b + 2/3*f**4 - 2*f + 2/3*f**2 - 4/3 = 0. -2, -1, 1 Let j(z) be the second derivative of -z**5/20 - 3*z**4/4 - 5*z**3/2 + 25*z**2/2 + 18*z. Factor j(i). -(i - 1)*(i + 5)**2 Suppose 32*r + 6 = 30*r. Let w(n) = 2*n**2 - n. Let s(h) = h**2. Let m(j) = r*w(j) + 24*s(j). Factor m(l). 3*l*(6*l + 1) Let c(l) be the third derivative of -l**9/60480 + 17*l**8/100800 - l**7/4200 - 13*l**5/60 + 2*l**2. Let u(z) be the third derivative of c(z). Factor u(m). -m*(m - 3)*(5*m - 2)/5 Let v = 16621/30 - 554. Let s(b) be the third derivative of 0 + 0*b**3 - v*b**6 + 4*b**2 - 2/15*b**5 + 0*b - 1/6*b**4. What is g in s(g) = 0? -1, 0 Let c be ((-1175)/(-75) - 15)*(1 - (-3)/15). Factor -16/5*r + c*r**2 + 16/5. 4*(r - 2)**2/5 Factor -3*a**2 - 34 + 6*a**3 + 34 + 10*a**3 - 10*a - 3*a**4. -a*(a - 5)*(a - 1)*(3*a + 2) Suppose 16/17 + 130/17*u + 32/17*u**3 + 16*u**2 = 0. What is u? -8, -1/4 Let l(r) be the third derivative of r**5/180 + 11*r**4/36 + 7*r**3/6 - 2*r**2 + 17. Factor l(o). (o + 1)*(o + 21)/3 Let k = 11 + -3. Suppose 20 + 6*p**3 - 11*p**3 - k*p - 33*p + p + 25*p**2 = 0. Calculate p. 1, 2 Let x(t) = -t**3 + 15*t**2 + 17*t - 18. Let z be x(16). Let j be 12*(-5)/(-225) - z/5. Find v such that -8*v - 4*v**2 - 16/3 - j*v**3 = 0. -2 Factor 62*u**2 - 13*u**3 + 26*u**3 - 36*u - 7*u**3 - 4*u**3 + 152*u. 2*u*(u + 2)*(u + 29) Let n(f) be the first derivative of f**5/5 - 8*f**3/3 + 16*f - 354. Factor n(r). (r - 2)**2*(r + 2)**2 Let w be 2574/891 + 2/18. Let l(h) be the third derivative of 5/3*h**w - 5/8*h**4 + 0*h + 1/8*h**6 - 1/42*h**7 - 1/12*h**5 + 8*h**2 + 0. Factor l(d). -5*(d - 2)*(d - 1)**2*(d + 1) Let k = 1517 + -717. Factor 260*i**2 - 4*i**5 + 4*i**5 - 4*i**5 + k*i + 200*i**2 - 76*i**3 - 44*i**4 - 2000. -4*(i - 2)**2*(i + 5)**3 Let y(q) be the first derivative of -q**6/40 - 9*q**5/80 - 3*q**4/16 - q**3/8 + 9*q - 8. Let z(r) be the first derivative of y(r). Factor z(a). -3*a*(a + 1)**3/4 Suppose 3*x - 2*c = 2*c, 5*x = -2*c. Let q be 3/(x + 1) + (-6 - -3). Factor -3*z**2 + 3/2*z**4 + q + 0*z + 3/2*z**3. 3*z**2*(z - 1)*(z + 2)/2 Let m be (-9 + 244/36)*1*(-6)/5. Let -8/3 + 2/3*r**4 + 8/3*r - m*r**3 + 2*r**2 = 0. Calculate r. -1, 1, 2 Suppose 0*l = 4*l - 16. Let v = l - 0. Determine d, given that 3*d**4 + 3*d**2 + 3*d**5 + 7*d**2 - 12*d**v + 2*d**2 = 0. -1, 0, 2 Factor 0 - 32/5*y - 2/5*y**5 - 48/5*y**3 - 64/5*y**2 - 16/5*y**4. -2*y*(y + 2)**4/5 Let s be 1 - 25*(-1)/(-45). Let o(b) be the first derivative of 0*b + 1/6*b**4 + 5 + s*b**3 + 1/3*b**2. Determine k, given that o(k) = 0. -1, 0 Let s(q) be the first derivative of q**4/5 + 16*q**3/15 + 2*q**2/5 - 24*q/5 - 17. Determine d so that s(d) = 0. -3, -2, 1 Let g(p) be the second derivative of -3*p**5/80 + 3*p**4/8 + 9*p**3/2 + 15*p**2 - 20*p + 3. What is q in g(q) = 0? -2, 10 Let x(n) = n**2 - 9*n - 1. Let f be x(11). Suppose 5*k - 3 = -3*v, 0*v + k + f = 3*v. Factor 5 + 9*j**3 + 0*j**3 - j**3 - v*j**2 - 4 - 3*j**4. -(j - 1)**3*(3*j + 1) Suppose -3 = 2*q - 7. Factor -q*c**2 + 2*c**2 - 3 - 13*c - 4*c**2. -(c + 3)*(4*c + 1) Let j(d) = -20*d - 778. Let r be j(-39). Let i(h) be the first derivative of 5*h**4 + 0*h - 20/3*h**3 - 1 - h**5 + 0*h**r. Solve i(f) = 0 for f. 0, 2 Let x(g) = -g**3 - 3*g**2 - 5*g - 2. Let r be x(-2). Let z(m) be the second derivative of -5*m - 1/6*m**r + 1/10*m**5 - 2/3*m**3 + 0 + 0*m**2. Factor z(o). 2*o*(o - 2)*(o + 1) What is u in -81/2 - 1/2*u**2 + 9*u = 0? 9 Let q(d) be the second derivative of -d**6/240 - 3*d**5/20 - 9*d**4/4 + 29*d**3/6 - 8*d. Let t(l) be the second derivative of q(l). Find z, given that t(z) = 0. -6 Let g be 6/8 + 7 + (-57)/12. Let n(i) be the second derivative of 0*i**g - 3*i + 0 + 0*i**2 + 1/4*i**4 - 3/5*i**5. Suppose n(b) = 0. What is b? 0, 1/4 Let j(d) be the third derivative of 0*d**3 + 0*d**5 + 0 - 13*d**2 + 0*d - 1/540*d**6 + 0*d**4. Factor j(h). -2*h**3/9 Let z be ((-398)/22)/(-98 - 15/(-5)). Let y = z - -2/209. Determine l so that -y*l**2 + 0 + 3/5*l = 0. 0, 3 Suppose 44 - 134 = -z. Let k(v) = z*v - 18 + 116 + 120 - 59 + 15*v**2. Let u(j) = -3*j**2 - 18*j - 32. Let c(a) = -5*k(a) - 24*u(a). Factor c(o). -3*(o + 3)**2 Let x be 27/1512*-8 + (-2)/(-14). Factor 1/7*o**4 + 0 + 0*o**2 + 2/7*o**3 + x*o. o**3*(o + 2)/7 Suppose 0 = -2*m + 16 + 8. Find k, given that 16*k**2 + 10*k - 22*k**4 - 14*k**3 - 6*k**5 + 10*k**3 - 6 + m*k**2 = 0. -3, -1, 1/3, 1 Let f(u) be the second derivative of u**6/3 - 94*u**5/5 + 1441*u**4/5 + 3572*u**3/15 + 361*u**2/5 - 9*u + 1. Determine a so that f(a) = 0. -1/5, 19 Let k(z) = 6*z**2 + 56*z + 330. Let g(q) = -q**2 - q + 2. Let a be 2/8 + (-255)/(-68). Let h(b) = a*g(b) + k(b). Let h(t) = 0. What is t? -13 Let h = -174/7 + 176/7. Factor -2/7*a**2 + 0 + 2/7*a**3 - h*a + 2/7*a**4. 2*a*(a - 1)*(a + 1)**2/7 Let f(y) be the first derivative of -y**4/40 - 3*y**3/2 - 483*y**2/20 + 529*y/10 - 15. Determine g so that f(g) = 0. -23, 1 Let p be 8992/84 + 48/21 + -2. Let w = p - 107. Determine z so that 0 - w*z**2 - 1/3*z = 0. -1, 0 Suppose -v + 3*n = -6*v - 25, -2*v - 41 = -5*n. Let p be (v/10)/((-7)/(-140)*-4). Factor 2*l**2 - 4/3*l + 1/3 + 1/3*l**p - 4/3*l**3. (l - 1)**4/3 Let v be (0/2)/((20/(-5))/(-4)). Suppose v = 3*t + 2*i - 16, -4*t - t + i + 5 = 0. Let -9/4*c**3 - 1 - 3*c + 25/4*c**t = 0. Calculate c. -2/9, 1, 2 Let o(u) = -7*u**2 + 756*u + 251. Let d(n) = -30*n**2 + 3025*n + 1005. Let j(i) = -4*d(i) + 15*o(i). Factor j(r). 5*(r - 51)*(3*r + 1) Find a, given that 1/8*a**4 - 19/8*a + 21/8*a**2 + 3/4 - 9/8*a**3 = 0. 1, 6 Let j = 1398 - 1395. Factor 10/3*m + 2/3*m**j - 8/3*m**2 - 4/3. 2*(m - 2)*(m - 1)**2/3 Let y(f) be the first derivative of f**6/8 + 27*f**5/5 + 423*f**4/8 - 209*f**3 - 3249*f**2/8 - 666. Find h such that y(h) = 0. -19, -1, 0, 3 Let u(t) be the second derivative of t**6/1980 - t**5/330 + t**4/132 + t**3/2 + 12*t. Let z(v) be the second derivative of u(v). Factor z(q). 2*(q - 1)**2/11 Suppose -5*q + 32 = 3*x, 0*x + 2*q = -x + 11. Let d be (-8 + x)*(4 + 1). Suppose 7/3*u**4 + 4/3 + 25/3*u**2 + 1/3*u**d + 16/3*u + 19/3*u**3 = 0. Calculate u. -2, -1 Let g = 86 + -55. Determine p, give
{ "pile_set_name": "DM Mathematics" }
of 102474? True Is 75 a factor of 1549575? True Does 11 divide 491119? False Does 76 divide 1838136? True Does 138 divide 594402? False Is 49 a factor of 1976526? False Does 18 divide 237906? True Is 37439 a multiple of 310? False Does 6 divide 4446? True Is 33 a factor of 107580? True Is 12 a factor of 447228? True Does 425 divide 10453811? False Does 14 divide 16782948? True Is 233 a factor of 284726? True Is 3306270 a multiple of 645? True Is 1993 a factor of 8966507? True Is 301211 a multiple of 22? False Does 21 divide 108528? True Is 40 a factor of 129275? False Does 30 divide 4766663? False Does 19 divide 2611653? False Does 86 divide 46010? True Is 522 a factor of 5038402? False Is 30868 a multiple of 34? False Is 93852 a multiple of 33? True Is 5 a factor of 133735? True Is 11 a factor of 114087? False Is 168 a factor of 858816? True Is 4127 a multiple of 2? False Does 726 divide 6385170? True Is 31087 even? False Does 128 divide 320256? True Is 32 a factor of 148544? True Is 107527 a multiple of 28? False Does 314 divide 511506? True Does 179 divide 1300793? True Is 844580 a multiple of 11? True Does 13 divide 9306826? False Is 24 a factor of 183060? False Does 7 divide 2122310? False Is 31467730 a multiple of 35? True Is 516 a factor of 371004? True Does 14 divide 2106594? True Is 108864 a multiple of 28? True Does 42 divide 7120570? False Is 24 a factor of 320928? True Is 133371 a multiple of 64? False Does 19 divide 14864? False Is 10809358 a multiple of 73? False Is 94079 even? False Does 130 divide 332165? False Is 383053 even? False Is 969192 a multiple of 63? True Is 499875 a multiple of 4? False Does 428 divide 646850? False Is 879 a factor of 1385773? False Is 71 a factor of 329582? True Does 5 divide 323739? False Is 9373869 a multiple of 27? False Is 61037 a multiple of 2? False Does 41 divide 5315797? False Is 18 a factor of 5582844? True Does 5 divide 7695? True Does 334 divide 167000? True Is 374195 a multiple of 43? False Is 33 a factor of 42438? True Does 26 divide 426764? True Is 220 a factor of 137263? False Does 12 divide 191976? True Is 20 a factor of 81487? False Is 370774 a multiple of 144? False Is 8 a factor of 875688? True Does 6 divide 3838448? False Is 2307785 a multiple of 59? True Does 281 divide 220023? True Is 175 a factor of 394975? True Is 4020 a multiple of 12? True Does 9 divide 8978841? True Does 132 divide 5017716? True Is 368150 a multiple of 240? False Does 3 divide 76604? False Does 111 divide 584148? False Does 8 divide 195605? False Does 559 divide 1424646? False Is 88 a factor of 500002? False Is 176 a factor of 6792896? True Is 197 a factor of 220049? True Is 142278 a multiple of 138? True Does 44 divide 4403129? False Does 13 divide 4350132? False Is 12 a factor of 652620? True Is 4511808 a multiple of 96? True Does 59 divide 797916? True Is 325173 a multiple of 6? False Is 12 a factor of 828540? True Is 784 a factor of 246466? False Is 29 a factor of 1359395? False Is 19 a factor of 7874702? True Is 291 a factor of 6978471? True Is 354 a multiple of 84? False Is 19 a factor of 2068904? False Is 14 a factor of 352458? False Is 161 a factor of 491855? True Is 216 a factor of 1005968? False Is 4 a factor of 231066? False Does 15 divide 3967581? False Is 768696 a multiple of 35? False Is 404 a factor of 421923? False Is 205859 a multiple of 19? False Is 5 a factor of 26408? False Does 305 divide 266875? True Is 663564 a multiple of 12? True Is 149754 a multiple of 642? False Does 107 divide 179629? False Does 629 divide 1093831? True Is 38 a factor of 195442? False Is 277 a factor of 4814260? True Is 18 a factor of 97300? False Does 24 divide 330456? True Is 509580 a multiple of 38? True Is 100 a factor of 63000? True Is 248746 a multiple of 16? False Is 1544335 a multiple of 13? True Is 4625768 a multiple of 658? False Is 581944 a multiple of 192? False Is 1869552 a multiple of 16? True Is 29 a factor of 2766136? True Does 16 divide 165728? True Is 256 a factor of 14706176? True Is 98 a factor of 2100532? True Is 13 a factor of 228042? False Is 2 a factor of 449928? True Is 179297 a multiple of 64? False Is 51 a factor of 869115? False Does 135 divide 45900? True Is 294624 a multiple of 4? True Does 26 divide 787566? True Does 95 divide 213489? False Is 683378 a multiple of 83? False Is 19 a factor of 274474? True Does 36 divide 581389? False Does 166 divide 1434574? False Is 260 a factor of 2323360? True Does 29 divide 108797? False Does 19 divide 255907? False Does 40 divide 772482? False Does 172 divide 3825108? True Is 166 a factor of 61844? False Does 12 divide 161904? True Is 9 a factor of 227007? True Does 3 divide 139021? False Is 161915 a multiple of 35? False Is 3164309 a multiple of 557? False Is 87 a factor of 2295559? False Is 26459787 a multiple of 83? False Is 18 a factor of 1172700? True Is 1245565 a multiple of 23? True Is 35 a factor of 5991545? True Is 42 a factor of 20899? False Is 65230 a multiple of 63? False Is 1323075 a multiple of 4? False Does 70 divide 1101870? True Does 14 divide 12016? False Is 55 a factor of 2022571? False Is 14444546 a multiple of 346? False Is 36 a factor of 157788? True Does 9 divide 347369? False Is 851 a factor of 754837? True Does 56 divide 2274440? True Is 444 a factor of 131868? True Does 8 divide 2757888? True Does 364 divide 409555? False Is 52580 a multiple of 220? True Is 59 a factor of 120301? True Is 37011 a multiple of 20? False Does 148 divide 57276? True Does 149 divide 336740? True Is 254 a factor of 3812172? False Does 28 divide 2910404? True Is 3721004 a multiple of 14? True Is 205 a factor of 13625761? False Does 24 divide 143127? False Does 153 divide 755287? False Does 53 divide 3115053? False Does 15 divide 45698? False Is 35 a factor of 1268680? True Is 291 a factor of 85262? False Is 14108 a multiple of 7? False Does 13 divide 26384? False Is 69 a factor of 105432? True Does 200 divide 170383? False Is 98 a factor of 1376214? True Does 160 divide 2689760? True Is 3228813 a multiple of 159? True Does 17 divide 24761? False Is 315 a factor of 522900? True Is 7 a factor of 18053? True Does 79 divide 2639074? True Does 220 divide 154440? True Is 13 a factor of 285239? False Does 39 divide 319494? False Does 27 divide 263979? True Is 307 a factor of 226566? True Is 956032 a multiple of 7? True Does 307 divide 136922? True Is 32 a factor of 2220448? True Is 51 a factor of 1786197? False Does 108 divide 32551655? False Does 18 divide 4603770? True Is 165 a factor of 12400596? False Does 19 divide 3938033? False Is 464 a factor of 803420? False Does 4 divide 4842976? True Is 589860 a multiple of 339? True Is 115 a factor of 229857? False Does 634 divide 8822510? False Is 692850 a multiple of 2? True Is 577 a factor of 26678172? True Is 841 a factor of 559265? True Is 50 a factor of 129450? True Is 106 a factor of 7643236? True Is 554 a factor of 739420? False Does 214 divide 103519? False Is 9 a factor of 2064734? False Does 180 divide 290767? False Is 1159 a factor of 8582696? False Is 131 a factor of 667969? True Is 338 a factor of 2746250? True Is 46 a factor of 955496? False Is 2763008 a multiple of 64? True Is 198 a factor of 3768617? False Is 56487 a multiple of 9? False Is 2666627 a multiple of 230? False Is 110924 a multiple of 48? False Is 173888 a multiple of 416? True Is 47 a factor of 422847? False Is 765 a factor of 414630? True Is 119 a factor of 198968? True Does 32 divide 12401? False Does 6 divide 6246? True Does 574 divide 2047458? True Is 259908 a multiple of 6? True Does 9 divide 1011114? True Is 108340 a multiple of 281? False Is 93 a factor of 1311936? False Is 90 a factor of 357300? True Is 296871 a multiple of 8? False Does 36 divide 107892? True Is 30 a factor of 276570? True Is 41 a factor of 105518? False Is 7681056 a multiple of 1709? False Is 22 a factor of 272133? False Does 22 divide 2544124? True Is 524 a factor of 384761? False Does 14 divide 82670? True Is 20 a factor of 43200? True Is 215701 a multiple of 41? True Is 1749463 a multiple of 877? False Does 49 divide 1587992? True Does 6 divide 862500? True Does 2632 divide 9855484? False Does 2 divide 69846? True Is 1487902 a multiple of 64
{ "pile_set_name": "DM Mathematics" }
in 122, 175, 262, 383? 538 What is the next term in 52, 13, -36, -101, -188? -303 What is the next term in -47, -74, -107, -140, -167, -182, -179? -152 What is next in 83, 128, 161, 176, 167, 128, 53, -64? -229 What comes next: 8, 2, -18, -58, -124, -222, -358? -538 What comes next: 2578, 2582, 2588, 2596, 2606? 2618 What is next in 131, 155, 215, 329, 515, 791, 1175? 1685 What is next in -866, -867, -868, -869? -870 What is next in 17, 38, 59, 80, 101? 122 What is next in 1504, 3007, 4510, 6013? 7516 What is the next term in 2, -15, -48, -103, -186, -303, -460, -663? -918 What is next in -61, -72, -83, -94? -105 What is next in -57, -235, -531, -945? -1477 What is the next term in -81, -329, -737, -1299, -2009, -2861, -3849? -4967 What comes next: -301, -574, -845, -1114? -1381 What is the next term in 4975, 9952, 14927, 19900, 24871, 29840, 34807? 39772 What is next in 33299, 33300, 33301? 33302 What is next in 152, 165, 200, 269, 384? 557 What comes next: 81, 122, 153, 168, 161, 126, 57? -52 What is the next term in -7058, -14117, -21176, -28235? -35294 What is the next term in -574, -563, -554, -553, -566, -599? -658 What comes next: 2009, 4019, 6029, 8039, 10049? 12059 What comes next: 37, 30, 11, -26, -87, -178? -305 What is the next term in 43, 157, 345, 607, 943, 1353? 1837 What comes next: -25, -48, -65, -58, -9? 100 What is the next term in 228, 457, 686, 915? 1144 What is the next term in -79, -124, -169? -214 What comes next: -1961, -7864, -17709, -31502, -49249, -70956? -96629 What is the next term in 3455, 3457, 3459, 3461, 3463, 3465? 3467 What is next in -704, -1410, -2116? -2822 What comes next: -957, -1918, -2879? -3840 What is the next term in -1040, -1027, -992, -923, -808? -635 What is next in 70, -189, -626, -1247, -2058? -3065 What is next in 24, -20, -102, -228, -404, -636, -930? -1292 What comes next: -43, -48, -57, -70, -87? -108 What is the next term in 30, 54, 98, 162, 246, 350, 474? 618 What is the next term in 76, 161, 246, 331? 416 What comes next: 2, -14, -46, -100, -182, -298, -454, -656? -910 What is next in 2439, 4879, 7321, 9765, 12211, 14659, 17109? 19561 What is next in 1156, 1160, 1164, 1168, 1172? 1176 What comes next: -49, -144, -257, -352, -393, -344, -169? 168 What is next in -14, -37, -74, -125, -190? -269 What is the next term in -148, -112, -14, 176, 488, 952, 1598, 2456? 3556 What is the next term in -9, 87, 247, 471, 759, 1111, 1527? 2007 What is the next term in 1591, 1592, 1591, 1588, 1583, 1576? 1567 What comes next: -69, -141, -213, -285? -357 What is next in 381, 380, 379? 378 What is next in 998, 997, 996? 995 What is the next term in 80, 270, 582, 1016? 1572 What comes next: 11006, 22015, 33024, 44033, 55042, 66051? 77060 What is the next term in -101, -110, -119, -128, -137? -146 What comes next: 7836, 15672, 23508, 31344? 39180 What is the next term in 24, 186, 460, 852, 1368, 2014, 2796? 3720 What is next in -465, -462, -457, -450, -441, -430? -417 What is next in 35, 72, 109, 146, 183? 220 What is next in -4345, -4343, -4339, -4333, -4325, -4315? -4303 What is the next term in 8, 10, 30, 80, 172, 318, 530, 820? 1200 What is the next term in -2657, -5316, -7975? -10634 What is the next term in 403, 436, 491, 568, 667, 788, 931? 1096 What is the next term in 627, 1238, 1849? 2460 What comes next: -13, -56, -97, -136, -173, -208? -241 What is the next term in -348, -701, -1066, -1449, -1856? -2293 What is the next term in -30, -194, -462, -828, -1286, -1830, -2454, -3152? -3918 What is the next term in -11, 82, 245, 484, 805, 1214, 1717, 2320? 3029 What is next in -3, -22, -55, -102, -163, -238? -327 What is next in -349, -341, -333, -325, -317? -309 What comes next: -84, -84, -72, -42, 12, 96? 216 What is next in 12, 57, 176, 405, 780, 1337, 2112? 3141 What is next in 1904, 1905, 1906, 1907, 1908? 1909 What comes next: 80, 152, 224, 296, 368? 440 What comes next: 69, 71, 73? 75 What is the next term in -217, -229, -237, -241, -241, -237? -229 What is the next term in -24, -53, -86, -123, -164, -209, -258? -311 What comes next: 357, 699, 1041, 1383? 1725 What is the next term in 46, 33, 12, -17? -54 What is next in 1721, 1718, 1715, 1712, 1709? 1706 What is the next term in -57, -206, -453, -798, -1241? -1782 What comes next: 26, 14, -14, -64, -142, -254, -406? -604 What comes next: 33, 65, 87, 99, 101? 93 What comes next: -2267, -4534, -6801, -9068, -11335, -13602? -15869 What comes next: -95, -221, -431, -725, -1103, -1565? -2111 What is next in -40, -131, -272, -469, -728? -1055 What is next in -13, -27, -51, -85, -129, -183? -247 What is the next term in -22, -39, -78, -151, -270, -447? -694 What is next in -15, -67, -153, -273? -427 What is next in -1567, -3114, -4661? -6208 What comes next: 344, 677, 1006, 1331, 1652, 1969? 2282 What is the next term in 2294, 4582, 6880, 9194, 11530, 13894, 16292, 18730? 21214 What comes next: -256, -251, -234, -199, -140? -51 What is next in 61, 229, 503, 883, 1369, 1961, 2659? 3463 What comes next: 8, 12, 16? 20 What is the next term in 6717, 13431, 20145, 26859? 33573 What is next in 39, 28, 9, -18, -53? -96 What is the next term in 249, 494, 737, 978, 1217, 1454, 1689? 1922 What is the next term in 241, 495, 755, 1021, 1293? 1571 What is next in -337, -673, -1009, -1345, -1681, -2017? -2353 What is next in 764, 761, 750, 725, 680, 609? 506 What comes next: -145, -263, -367, -451, -509, -535? -523 What is next in -54, -95, -126, -141, -134, -99, -30? 79 What comes next: 52, 77, 108, 145? 188 What is the next term in 5042, 10082, 15120, 20156, 25190, 30222, 35252? 40280 What is next in -28, -37, -52, -73? -100 What comes next: 476, 478, 482, 488? 496 What is next in 405, 808, 1211, 1614, 2017, 2420? 2823 What comes next: -30, -95, -200, -345? -530 What is the next term in 65, 311, 721, 1295, 2033, 2935, 4001? 5231 What is next in -6957, -13911, -20865, -27819, -34773, -41727? -48681 What is the next term in 684, 682, 680, 678, 676? 674 What comes next: -693, -1390, -2087, -2784? -3481 What comes next: -29, -53, -93, -155, -245, -369? -533 What is the next term in 7, -23, -73, -143, -233, -343? -473 What is the next term in 26, 114, 268, 494, 798, 1186? 1664 What is the next term in -253, -236, -209, -166, -101? -8 What comes next: -73, -161, -249, -337, -425, -513? -601 What is the next term in -4, 7, 16, 23, 28, 31? 32 What is the next term in 447, 910, 1379, 1854, 2335? 2822 What is the next term in -1463, -1459, -1453, -1445, -1435, -1423? -1409 What comes next: -6118, -6117, -6116, -6115, -6114? -6113 What comes next: -25, -41, -61, -85, -113, -145? -181 What is next in -413, -440, -491, -572, -689, -848, -1055, -1316? -1637 What comes next: -2, 4, 20, 52, 106, 188, 304, 460? 662 What is the next term in 426, 420, 404, 372, 318? 236 What is the next term in 10275, 20552, 30829, 41106, 51383? 61660 What is next in 212, 208, 202, 194? 184 What is the next term in -3154, -3155, -3156? -3157 What is next in -113, -158, -233, -338, -473, -638? -833 What comes next: -63, -255, -575, -1023, -1599? -2303 What is the next term in -10913, -10928, -10957, -11006, -11081, -11188, -11333, -11522? -11761 What comes next: 243, 240, 237? 234 What is next in -1816, -3630, -5444, -7258? -9072 What comes next: 116, 482, 1094, 1952, 3056? 4406 What is the next term in -16, -127, -306, -553, -868, -1251? -1702 What comes next: -5, -7, -9, -11, -13, -15? -17 What is next in -44, -69, -94, -119, -144? -169 What comes next: 28, 121, 286, 535, 880, 1333? 1906 What is the next term in 1342, 2683, 4022, 5359? 6694 What is the next term in -54, -21, 14, 51, 90, 131? 174 What is the next term in -100, -201, -302, -403? -504 What is next in 3834, 7675, 11516? 15357 What is next in -249, -255, -265, -279, -297? -319 What is the next term in -172, -333, -484, -619, -732, -817, -868, -879? -844 What is next in 41, 93, 145, 197? 249 What comes next: -16, -46, -102, -190, -316, -486, -706, -982? -1320 What comes next: 46, 48, 50, 52, 54, 56? 58 What is next in -70, -154, -238, -322? -406 What is the next term in -6, -26, -72, -156, -290, -486, -756? -1112 What comes next: -7, -12, -17, -22, -27? -32 What is next in -3741, -7484, -11227, -14970, -18713, -22456? -26199 What
{ "pile_set_name": "DM Mathematics" }
*c - 970*c**2 + 337*c**2 as l*c + o + q*c**2 and give q. -1088 Rearrange (-2*h**3 - 52*h**2 - 5 - 52*h**2 + 106*h**2)*(-4 + 6 - 5)*(0 - 20 + 2) to f*h + g*h**2 + u + d*h**3 and give d. -108 Rearrange -4387*d - 1493*d - 1363 + 1363 to the form z*d + t and give z. -5880 Express -5507*m + 3648*m + 496*m - 8952*m in the form c*m + f and give c. -10315 Express -35591 - 5*f + 34120 + f**2 + 0*f as i + c*f**2 + b*f and give c. 1 Express (-19*r + 32*r - 11*r + (2*r - r + r)*(1 + 0 - 3))*(-9*r**2 - 42*r**2 - 11*r**2) as i + n*r**2 + m*r**3 + l*r and give m. 124 Rearrange 27608*g - 13804*g + 4 + 3*g**3 - g**4 - 13796*g to n*g + z*g**3 + f + i*g**4 + p*g**2 and give i. -1 Express 4*l**2 + 26559 + 26563 - 8*l**2 - 163*l**4 - 53122 + 7*l**3 as d*l + a*l**3 + x*l**2 + q + w*l**4 and give a. 7 Rearrange 14943*h**3 - 29883*h**3 - h**4 + 10*h**2 - 2*h + 14935*h**3 + 8 to the form x + q*h**3 + a*h**4 + c*h + l*h**2 and give x. 8 Rearrange (25626 + 24*d + 30*d - 25625)*(5 + 1 + 0 + (3 - 1 - 4)*(-9 + 1 + 1)) to v + l*d and give l. 1080 Rearrange -4338*h + 216 + 4339*h - 1009 to the form n*h + p and give n. 1 Express 71*d**2 - 739*d**2 + d**2 + 20*d**2 - 47*d**2 in the form v + q*d + s*d**2 and give s. -694 Express (g + 5*g - 19*g)*(4 + 2 - 39)*(-63 - 2*g + 63) as j*g**2 + b + f*g and give j. -858 Rearrange -11*n**4 + 1799*n**2 + 26*n**4 - 1798*n**2 - 17*n**4 - n**3 + 1 + 11*n to the form a*n**4 + z*n + t + j*n**3 + o*n**2 and give a. -2 Express 1 - 1169*b**3 - 1109*b**3 - 1001*b**3 + 4*b + b**2 + 3593*b**3 as m*b**3 + q*b + k + p*b**2 and give m. 314 Express (-1 + g + 1)*(17 - 96 - 41) + (3 - g - 3)*(1 - 3 + 1) as d*g + s and give d. -119 Express 25245 + 25250 - 50495 - 12492*v as z*v + a and give z. -12492 Rearrange (-n**2 - 4*n + 4*n)*(n - n - 2*n) - 130*n**2 - 14157*n**3 + 55*n**2 + 75*n**2 to the form v + j*n**2 + m*n + a*n**3 and give j. 0 Express -23*n**3 - 97*n + 97*n + (298*n**2 - 454*n**2 + 355*n**2 + (-1 + 1 + n**2)*(0 - 5 + 3))*(-4*n + 3*n - n) as c + h*n**3 + f*n + o*n**2 and give h. -417 Express -2209*r - 2676*r + 557*r - 3403*r + 1041*r as c*r + d and give c. -6690 Rearrange 2*j**3 + 2009 - 2008 - 2*j - j**2 + 3*j - 53*j**3 to the form c*j**3 + u*j + g + z*j**2 and give g. 1 Express (3*u**2 - 55237*u + 55237*u + 104)*(-8 - 2 + 30) as h*u**2 + v + n*u and give h. 60 Express 407 + 9929*p + 3694*p - 407 in the form u*p + d and give u. 13623 Rearrange (21 + 24*h - 21)*(-1 + 10 + 2) - 13 - 2*h + h + 9 to u + l*h and give l. 263 Rearrange (-1 + u + 1 + 1)*(-u + 3*u + 28 - 27)*(-365 - 137*u + 365 + (0 + 0 + 2*u)*(-3 + 1 + 1)) to the form m*u**3 + z + h*u + g*u**2 and give g. -417 Express 5307 - 33*x - 5271 + 180*x in the form i*x + b and give i. 147 Express (12939*k**2 + 12908*k - 12908*k + k**3)*(-2 - 6 - 2 + 1) as b*k + w*k**3 + y + i*k**2 and give b. 0 Express 35 - 155*i + 114*i - 79*i**3 + 42*i in the form t*i**3 + v + u*i + n*i**2 and give t. -79 Rearrange 7*h - 380*h - 1451*h to b + m*h and give m. -1824 Express (-1 - 3 + 43*l + 2)*(11*l**3 + 15*l**3 + 18*l**3) - 3*l**2 + l**4 + 3*l**2 in the form x*l**4 + c*l + y + u*l**2 + v*l**3 and give v. -88 Rearrange -742*z**2 - 175*z - 1596*z**2 + 177*z - 1215*z**2 + 717*z**2 to the form d*z + r*z**2 + k and give d. 2 Express -888 - u + 892 - 14*u**3 + 16*u**3 + 12*u**3 as n*u**3 + s*u + f*u**2 + q and give q. 4 Rearrange -9*g - 15*g - 11*g + 581 + 34*g + 222 to the form a + z*g and give a. 803 Express 27240 - 9629*t - 27240 - 2281*t as a*t + s and give a. -11910 Express 87*l**2 + 3*l + 219*l**2 + 763*l**2 - 83*l**2 as t*l**2 + n + i*l and give i. 3 Express 0 + 0 + i**2 + (-7*i + 10*i + 8*i)*(-i + 2*i + i) + 2065*i**2 + 1679*i**2 - 1542*i**2 in the form d*i + k*i**2 + q and give k. 2225 Rearrange (3 - 2 + 2 - 1 + 2 - 2 + (0 + 3 - 4)*(-5 + 3 + 3))*(0 + 0 - 8*p)*(0 - 1 - 1)*(-1 + 0 - 1) to the form z*p + m and give z. -32 Express (18 + 4 + 74)*(2*a**3 + 127*a**3 + 0*a**3) + 0*a**3 + 0*a**3 + 2*a**3 in the form v*a**2 + g*a + m*a**3 + d and give m. 12386 Rearrange 2801*u**2 - 15*u - 29*u + 44*u to i + y*u + c*u**2 and give c. 2801 Express -298*z**2 - 4*z**4 - 125 + 135 + 286*z**2 as d*z + w*z**4 + c*z**2 + y*z**3 + n and give n. 10 Express -52*h + 72 - 4 - 10*h**2 - 80*h + 130*h in the form i + b*h**2 + l*h and give i. 68 Express (-10*l + 25*l - 16*l + 2)*(-199*l + 353*l - 377*l) - 2*l**2 - 4*l**2 + 5*l**2 in the form t + z*l**2 + r*l and give r. -446 Express (-1 + 4 + t - 2)*(-2060 - 8909 + 1899) as z*t + f and give z. -9070 Express (0*y**2 - 6*y**2 + 4*y**2)*(y + y**2 - y) + (8*y**2 - 9*y**2 - 43*y**2)*(-y + 16*y**2 + y) in the form g*y**3 + d + z*y**2 + h*y + s*y**4 and give s. -706 Rearrange -23789*i**4 - 23791*i**4 + 4 + 16*i - 23794*i**4 - 23*i**3 + 71375*i**4 to the form g*i**4 + t*i**3 + v*i**2 + s*i + n and give g. 1 Express (9 - 4 - 7*v - 3)*(1 + 2 - 2) + 14*v - 49*v - 12*v in the form n + w*v and give w. -54 Rearrange -17*b + 16 - 20*b - 39 - 2*b to n + z*b and give z. -39 Rearrange -373*n - n**4 + 1205*n + 12*n**2 - 13*n**2 - 1 + 3*n**4 to i*n + m*n**2 + c*n**4 + q*n**3 + w and give i. 832 Express w - 42*w**3 - 2*w**2 + 104*w**3 + w + 1 + 3*w**4 - 70*w**3 in the form f*w**2 + p*w + a + z*w**3 + i*w**4 and give i. 3 Rearrange 0 - 23 - 1 + 23 - 732*j - 401*j to the form w*j + n and give w. -1133 Rearrange ((-1 - 4 + 6)*(0 + 1 + 1) + 1490 + 4700 - 1685)*(-m**4 - 2*m**4 + 4*m**4) to t*m**3 + r + s*m**4 + i*m + b*m**2 and give s. 4507 Express (-75*c - 19 - 93*c + 213*c - 76*c)*(4 + 3 - 5)*(12 + 22*c - 12) in the form f + g*c + s*c**2 and give s. -1364 Rearrange -2 - 26*n**4 - 16403*n**2 - 16394*n**2 + 32791*n**2 to l*n**3 + r*n**4 + j*n**2 + g + x*n and give j. -6 Rearrange (-1 + 1 + m)*(-4993*m - 2318618 + 2318618) to the form a*m**2 + c + t*m and give t. 0 Rearrange (0 - 1 + 0)*(416*f + 330 - 182 - 147) to the form i*f + r and give i. -416 Rearrange -109 + 81574*d + 81581*d - 148 - 163125*d to q + a*d and give q. -257 Rearrange -5819*a + 1231*a - 2129*a + 3 - 3 to i + h*a and give h. -6717 Rearrange 15306155 - 15306157 + 3064*o + 1049*o to x*o + j and give x. 4113 Rearrange -1940*h - 1196*h - 1 - 1027*h to d*h + k and give k. -1 Express -2427*w + 2405*w + 2 + 2 - 7 - w**2 in the form a*w**2 + v*w + g and give g. -3 Express 806*y**2 + 2429*y**2 - 730*y**2 + 868*y**2 in the form p + o*y**2 + b*y and give o. 3373 Rearrange -373*h**2 + 23 - 24 - 726*h**3 + 728*h**3 + 0*h + 0*h to k*h + v*h**3 + d + z*h**2 and give v. 2 Express -157*y - 2*y**2 - 161*y - 163*y - 1073 + 480*y - 1869 as f*y**2 + a + v*y and give f. -2 Express -9 - 519*f**2 + 263*f**2 - 4 + 258*f**2 + 4*f in the form l + w*f**2 + v*f and give l. -13 Express -19 + 19 - 6*h + (-88*h + 335*h + 140*h)*(-2 + 0 - 1 - 2 + 1 + 3 + (0 - 4 + 2)*(-4 + 2 + 0)) as o + x*h and give x. 1155 Rearrange (-2*q + 2*q**2 + 2*q)*(-18 + 149 + 120 + 41 + 102)*(12 - 1 - 2) to x*q + b + d*q**2 and give d. 7092 Express (-91*i**2 + 49*i**2 - 48*i**2)*(-28 - 108*i + 52*i + 54*i) as y*i**3 + r + m*i**2 + u*i and give y. 180 Rearrange 204 - 2*m**2 + 19*m**2 - 2*m - 7*m**2 - 8*m**2 + m**2 to the form f*m + o*m**2 + u and give u. 204 Express 6*n - 26366238 + 70*n**2 + 26366238 as p + s*n + h*n**2 and give h. 70 Rearrange 1098 - 532 - 565 - 2*j + 3*j - 2*j**2 - j**3 to the form k + g*j**2 + s*j**3 + m*j and give k. 1 Express -5*o**2 + 9*o - 65*o + 12 + 56*o in the form y + a*o**2 + r*o and give a. -5 Express -4*s**3 + 66*s + 6*s**3 + 1409*s**2 - 1413*s**2 + s as t*s + o*s**3 + i*s**2 + k and give t. 67 Rearrange 282490 - 4*q - 282544 + 9*q + 19*q to the form x*q + d and give d. -54 Rearrange b - 36*b - 29*b + 306*b**4 - 309*b**4 - 1 - 6*b to g*b**2 + p*b + t*b**4 + u + f*b**3 and give p. -70 Rearrange 88*i**2 - i**4 - 1577 + 8*i**3 - 9*i**3 + 1577 + i to t + r*i**4 + g*i + h*i**2 + d*i**3 and give g. 1 Express 96*h**2 + 1 + 17*h + 3*h + 84*h**2 - 17*h in the form a*h**2 + l*h + u and give a. 180 Rearrange 459*t**2 + 46 + 39 - 147 + 4500*t**2 + 59 to g*t**2 + q + p*t and give q. -3 Rearrange 132*c**3 + 47*c**2 - 3 + 56*c - 128*c**3 - 46*c**2 to the form a*c + z*c**2 + d*c**3 + q and give a. 56 Express (14*c - 14*c + 23*c)*(-4*c**2 + c**2 - 5*c**2) + 3*c**3 + 2*c**3 - 4*c**3 as g + s*c**3 + x*c**2 + y*c and give s. -183 Rearrange 2 - a - 9*a**2 + 9*a**3 - 1989*a**4 + 1990*a**
{ "pile_set_name": "DM Mathematics" }
closest to -2/3 in 0.1, -2, -0.12, 2/5? -0.12 What is the closest to 154 in -3, -4, 0? 0 Which is the nearest to -0.1? (a) 6 (b) -7 (c) 11 a Which is the nearest to 1? (a) -1/3 (b) -4 (c) 4 (d) 2/7 d Which is the closest to 1/4? (a) -0.1 (b) -2/7 (c) -1 (d) 3.2 a Which is the closest to 0.07? (a) 3.4 (b) -5 (c) -1 (d) -4 c Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) -1/5 (d) 18 c Which is the nearest to 7? (a) -5/6 (b) -0.1 (c) 4 (d) -2/13 c What is the closest to 1.5 in -3, 1/3, -4? 1/3 What is the nearest to -3/8 in 0.1, 32, -0.1, 2/9? -0.1 Which is the nearest to 2? (a) -3 (b) 2 (c) -1/24 (d) 2/5 b Which is the closest to 2? (a) 11 (b) -7/18 (c) 0.1 c What is the nearest to -2 in -13, -3/4, 3/4? -3/4 Which is the nearest to 2/15? (a) -1/2 (b) 3 (c) 0.4 (d) 4.13 c Which is the closest to 1? (a) -4 (b) -6/11 (c) 3 (d) -2/71 d Which is the closest to -1? (a) -2/5 (b) -0.09 (c) -1 c Which is the nearest to 2/3? (a) -11 (b) -0.4 (c) -3/2 b Which is the closest to 5/3? (a) -0.2 (b) 0.5 (c) 22 (d) -2 b Which is the closest to 18? (a) -2 (b) 0 (c) -1/9 b Which is the closest to -337? (a) -1 (b) -0.4 (c) -3 (d) 3 c What is the nearest to 0.9 in -5, -4, -2? -2 What is the nearest to 0.06 in -3, 2, 4? 2 Which is the nearest to -0.05? (a) 0 (b) -3 (c) 1/4 (d) -226 a Which is the closest to -2? (a) 0.2 (b) -2/13 (c) 4 (d) 2/3 b What is the closest to -1/4 in -1, -3, 3, -10? -1 What is the nearest to -1/5 in -3/7, -0.13, 2/11, 0.1? -0.13 Which is the nearest to -6? (a) 3 (b) 1 (c) 4 b Which is the nearest to -0.1? (a) 19 (b) 2 (c) 0.5 (d) 0.3 d What is the nearest to 0 in 2/7, -4, -0.07? -0.07 Which is the closest to 29? (a) -0.4 (b) -5 (c) -2/19 (d) 61 c What is the closest to 1 in 0.6, -4, 4/3, 4? 4/3 What is the nearest to 1/734 in 2/5, 0.1, 0, -3? 0 What is the nearest to -0.1 in 2/5, -4, -1, 3? 2/5 Which is the closest to 2/3? (a) 31 (b) 23 (c) 3 (d) -5/4 d What is the closest to -298 in -0.1, -1/3, -3, 2? -3 What is the nearest to -135 in -2/9, -0.2, -5? -5 What is the nearest to -1 in 1.07, -1/2, -2/11? -1/2 What is the closest to 1/2 in 7, 4, -1/8, 2/43? 2/43 What is the nearest to 0.2 in 3, -0.5, -2/3, 5? -0.5 What is the closest to -1/2 in 3, 1/8, -0.2, -0.5? -0.5 Which is the nearest to -1/4? (a) 4/7 (b) 2/7 (c) 2 (d) -0.1 d What is the nearest to -2/7 in -8, 3, -0.02, 5? -0.02 Which is the nearest to -3? (a) 0.3 (b) -2 (c) 2 (d) -0.9 b Which is the closest to -1/4? (a) -67 (b) -18 (c) -1/5 c Which is the closest to -0.1? (a) 110 (b) -15 (c) 4 c What is the closest to -0.6 in -0.4, 0.3, 2.2? -0.4 What is the closest to 0.1 in 0.6, -4, 0.3? 0.3 Which is the closest to -2/17? (a) 1/2 (b) -1/5 (c) -2 (d) 1 b What is the closest to 12 in 5, 3, 2, -5? 5 What is the closest to 0.5 in -1, -4, 8, 6? -1 What is the nearest to -37 in 0.5, 1/5, -1/8? -1/8 What is the nearest to 1/3 in -5, -3/445, 5? -3/445 What is the nearest to -1 in -0.4, 0.18, -5? -0.4 What is the nearest to -3/5 in 0, -134, 17? 0 What is the nearest to -1 in 0.02, 5, -6? 0.02 What is the nearest to 2/5 in 8, 3, -2/15, 5? -2/15 Which is the closest to -113? (a) 0 (b) -5 (c) -3/7 b Which is the nearest to -0.2? (a) -5/2 (b) -0.1 (c) 19 b Which is the closest to -2? (a) 2 (b) 2/5 (c) 0.1 c What is the closest to 4 in -2, -0.3, -0.04, 5? 5 Which is the closest to 0? (a) 2/7 (b) -5 (c) 0.3 a What is the nearest to 1/5 in 13, 256, 2, -2? 2 Which is the closest to 0? (a) 2 (b) 4/5 (c) 0.097 (d) -1/4 c What is the closest to 23 in 2/19, -5/2, 3? 3 Which is the closest to 2.3? (a) -2/9 (b) 17 (c) 0.4 (d) -0.3 c What is the closest to 0 in 0, -3, 0.1, -2/767? 0 What is the nearest to 46 in -5, 2/7, 0, 1? 1 Which is the closest to -1? (a) -39 (b) 0.18 (c) -0.2 (d) 0 c Which is the nearest to 1/5? (a) -2/9 (b) -4 (c) 27 a What is the closest to -20 in -5, 5, -0.3? -5 What is the nearest to -11 in 1/7, 1, -1/3? -1/3 What is the nearest to 2 in -41, -5, 0.3, -1/4? 0.3 Which is the nearest to -4? (a) 2/19 (b) -0.5 (c) 2/11 (d) -0.2 b Which is the nearest to 0? (a) -4 (b) 0.5 (c) -11 (d) -2/9 d What is the nearest to 4 in 2/11, -2/7, -4/27, -3.3? 2/11 Which is the closest to 0? (a) -1/7 (b) -3/7 (c) 90 a Which is the closest to 0.2? (a) 4/11 (b) 1/3 (c) -5 b Which is the nearest to -2/11? (a) 0 (b) 2 (c) 2/11 a Which is the nearest to 1? (a) -0.3 (b) 9 (c) -3/4 (d) -2/9 d What is the nearest to 1/3 in -0.2, 0.1, 0.5, 0.4? 0.4 What is the closest to 6 in 1/3, 1, 6/7? 1 Which is the closest to -1/2? (a) 2/3 (b) 19 (c) -5 (d) 0.27 d What is the closest to -0.1 in -378, -4, -8? -4 What is the nearest to 0.1 in -2, 6, 1/16, 0.2? 1/16 Which is the closest to -0.3? (a) 5 (b) -4 (c) 0.3 (d) 3.2 c What is the nearest to 0.3 in 0.2, 3, 0.3, 0? 0.3 Which is the closest to -1? (a) 0.04 (b) -0.12 (c) 3 b Which is the nearest to 1/3? (a) -1/3 (b) -2/23 (c) -3 (d) 5 b Which is the closest to 2? (a) -5 (b) 2 (c) 2/13 (d) 1/8 b What is the closest to -1 in -1, -5, 23.5? -1 Which is the nearest to 1/5? (a) 0 (b) -2/3 (c) 6/7 a Which is the closest to -2/71? (a) 0.2 (b) 2 (c) -2 (d) 4 a What is the closest to -3/2 in -0.4, -1, -4? -1 Which is the closest to -2? (a) 2/5 (b) 2/3 (c) -0.024 (d) -2 d Which is the closest to -3? (a) 2 (b) -0.3 (c) -1/5 b Which is the nearest to 68/7? (a) -1 (b) -2/5 (c) 0.19 c Which is the closest to -1571? (a) 2 (b) 1/3 (c) 1 (d) -2/5 d What is the closest to -1 in 1, 235, -1, -2? -1 What is the nearest to 44 in 4, -0.18, 0.2? 4 Which is the nearest to -4? (a) -5/2 (b) -2/13 (c) 1/8 a Which is the nearest to 1? (a) 190/7 (b) -3 (c) -9 b What is the closest to -1 in -5/6, 3/8, -1/6? -5/6 What is the nearest to -0.02 in -0.4, -4/5, -3/4, -0.3? -0.3 What is the nearest to -2/9 in -12/61, 0.1, 4/5, -0.3? -12/61 What is the nearest to -1/7 in 0.05, -1, -3, 0? 0 What is the nearest to 1 in 0.3, 2/53, 0.1? 0.3 What is the closest to 0.2 in -80, -4, -1/4, 2/5? 2/5 What is the closest to 0.1 in -4/15, 4, 3, 1/4? 1/4 Which is the closest to -0.1? (a) -1/4 (b) 0 (c) -2/7 (d) -7.4 b What is the nearest to 1 in -0.04, 1/9, 8? 1/9 Which is the nearest to -1/4? (a) -2 (b) -4/7 (c) -0.4 c Which is the nearest to -0.2? (a) -1 (b) -0.3 (c) -3 (d) -0.8 b Which is the nearest to -1? (a) -0.243 (b) 1/2 (c) 0.3 (d) -4 a What is the nearest to 1859 in 3/7, 2/3, 5, -2? 5 What is the closest to 1/2 in -0.2, -4, 38/137? 38/137 What is the closest to -1 in 2/41, -3/4, -2, -1? -1 What is the nearest to -91 in -2/9, 1/3, -3/10, 4? -3/10 What is the nearest to 0.3 in 3, -3, -0.1, -0.02? -0.02 Which is the closest to -20/7? (a) 6/5 (b) 3 (c) 4 a Which is the closest to 0.1? (a) -2 (b) -1.4 (c) 0 c What is the closest to -1 in -1/3, 0.4, -0.098? -1/3 Which is the nearest to 0.3? (a) -0.1 (b) 0.3 (c) -57 (d) -1 b Which is the nearest to 1? (a) 17 (b) 5 (c) 0.2 (d) -2 c Which is the nearest to 1/5? (a) 2/11 (b) -2 (c) -84 (d) -4 a What is the nearest to 3 in 0.2, 14, -2/5, 5? 5 Which is the closest to 0.3? (a) 1/6 (b) -3 (c) -9.82 a Which is the closest to 2/5? (a) 5 (b) -0.06 (c) -1/5 (d) -4 b Which is the nearest to -0.1? (a) 2/3 (b) 0.3 (c) 5 b Which is the closest to -0.1? (a) -0.09 (b) -1/3 (c) 2 (d) 2/17 a What is the closest to -59 in -0.5, -0.3, 3, -0.6? -0.6 What is the closest to 2 in 0.03, -0.5, -2, 0.5? 0.5 What is the closest to 0.05 in -1/3, -4, 2? -1/3 What is the nearest to 1 in 2/11, 1/6, -25? 2/11 What is the closest to -2 in -1, -1/2, -3/8, 0.03? -1 Which is the closest to 203? (a) 0.5 (b) 3 (c) 5 c What is the nearest to 140 in -1/4, 3, 0.2, 0.1? 3 Which is the closest to -0.04? (a) 5 (b) -2/11 (c) -2/285 (d) 2 c Which is the closest to -1? (a) 4/7 (b) -0.019 (c) 0.2 b Which is the nearest to -14? (a) 0 (b) -1/9 (c) 0.9 (d) -2 d What is the nearest to 5 in 4, 0.3, 1, -4? 4 Which is the closest to 0? (a) -13 (b) -0.2 (c) -3/8 (d) 2/9 b Which is the closest to 1? (a) -1/5 (b) 2 (c) -7 (d) -4 b What is the closest to -1 in -1021, 2/9, 3/2? 2/9 What is the closest to -3 in -2/293, -2/7, 1? -2/7 What is the nearest to -29 in 3, 5, 1, -3/2? -3/
{ "pile_set_name": "DM Mathematics" }
be p(q). What is i rounded to the nearest 10? 80 Let n be 7336/6*10671/(-2). Let c = 2023538 + n. Round c to the nearest one million. -5000000 Let k = 0.41 - 0.07. Let a = 0.392 - k. Let p = a + -0.0652. What is p rounded to 3 dps? -0.013 Let c = 32.00073 - 32. Round c to four decimal places. 0.0007 Let s = 1.6 + 13.4. Let q = s - 15.32. What is q rounded to one dp? -0.3 Let z(i) = -19*i - 3. Let v be z(3). Let a be (v/(-9))/(10/45). What is a rounded to the nearest 10? 30 Let o = -209 - -208.99999893. Round o to 7 decimal places. -0.0000011 Let q = 262.2 - 9.2. Let w = 253.000242 - q. What is w rounded to 5 dps? 0.00024 Let y = -4.2 + 1.2. Let z = 2.9906 + y. Round z to three decimal places. -0.009 Let r = -0.2 + 0.205. Let t = 2.705 - r. Let w = t - 2.97. Round w to 1 decimal place. -0.3 Let u = -1.6 - -0.6. Let v = 1.0003 + u. What is v rounded to 3 decimal places? 0 Let f = 20 - 20.0000004. Round f to 6 dps. 0 Let z(h) = h + 2. Let c be z(5). Suppose -2*o - 15 = -c*o, -3*b = -4*o - 188988. What is b rounded to the nearest ten thousand? 60000 Let k = 0.34 + -212.34. Let g = -67 - k. Let d = 144.99999909 - g. Round d to seven dps. -0.0000009 Let z = 869475.127 - 878296.25718. Let c = z - -8821. Let p = c - -0.13. Round p to four dps. -0.0002 Let w be (-2 - (-3)/2)*-13400. Round w to the nearest 1000. 7000 Let l(v) = 34999*v**2 + 3*v - 2. Let m = 17 - 11. Suppose -2*b = -m*b + 8. Let z be l(b). Round z to the nearest ten thousand. 140000 Let q be 4800003/2 + (-4)/8. Let n be q/2 - 1/2. Round n to the nearest 100000. 1200000 Let z(f) = f**2 + 5*f + 6. Let c be z(-4). Suppose c*s + 35411350 = 8811350. Round s to the nearest 1000000. -13000000 Let l = 8.45 + -8. Let w = 0.05 - l. Let i = 0.59 + w. Round i to 1 dp. 0.2 Let k(x) = 488*x**3 + 2*x**2 + 16. Let y be k(8). What is y rounded to the nearest ten thousand? 250000 Let l = 1.5 - 33.5. Let f = l + 32.72. What is f rounded to 1 decimal place? 0.7 Let f = -4.469 - -4.5. Let p = 0.03 - f. Round p to three decimal places. -0.001 Let a(x) = x**2 - 5*x - 5. Let j(h) = -h**3 + h + 1. Let p(r) = -a(r) - 2*j(r). Let i be p(-4). What is i rounded to the nearest ten? -150 Let v = 0.235 + 2.895. Let s = -3.1300161 + v. Round s to 6 decimal places. -0.000016 Suppose 0 = -3*c + 4 + 2. Suppose 0 = 3*x + c*x - 215000. What is x rounded to the nearest 10000? 40000 Let k = 3 - 19. Let x = -28.2 - k. Round x to zero decimal places. -12 Let l = 14.004 + -14. Let r = 0.0211 + l. Round r to 3 dps. 0.025 Let q = -0.42 + 0.07. Let v = 0.1 - 0. Let s = q + v. Round s to one dp. -0.3 Let r(w) = w**3 - 4*w**2 - w. Let f be r(2). Let b = -7 - f. Suppose b*g = -2*g + 5*m + 235, 0 = -5*g + m + 235. Round g to the nearest ten. 50 Let l = -27 - -25.25. Let j = l + 1.4. What is j rounded to 1 dp? -0.4 Let j = 10482619548.4522237123 - 10482619549. Let g = -27.9477779577 - j. Let n = g + 27.4. What is n rounded to 7 dps? -0.0000017 Let a = -170619 + 170618.9000045. Let l = a - -0.1. Round l to six decimal places. 0.000005 Let o = 57.48 + -60. What is o rounded to one decimal place? -2.5 Let q = -96309 + 11309. What is q rounded to the nearest 10000? -90000 Let w = 38751.67393198 + -0.66293198. Let f = 38767 - w. Let u = -16 + f. What is u rounded to 2 dps? -0.01 Let v = -137 + -27. Let l = 22322025 - 22321860.99867. Let w = v + l. What is w rounded to 4 dps? 0.0013 Suppose 3*c - 4*c - 4*y = -154, -y = -5*c + 707. What is c rounded to the nearest ten? 140 Let m = 3206334.18862 + -3206359.6018245497. Let y = 0.5867960403 - m. Let a = y + -26. What is a rounded to 7 dps? 0.0000006 Let s be 10436/18 + (-10)/(-45). Round s to the nearest one hundred. 600 Let h = 816.0000469 + -816. What is h rounded to 5 dps? 0.00005 Let q be 2346880 - (-1 + 2) - 2. Let j = q - 1621907. Suppose -2*m - 5675030 = j. Round m to the nearest one million. -3000000 Let t = 33 - 10. Suppose -2*v + q + t = -13, -4*v - q + 60 = 0. Round v to the nearest ten. 20 Let y = 0.3 - 0.3. Let t = y + -2. Let z = -1.9999952 - t. What is z rounded to 6 decimal places? 0.000005 Let h = -0.049 + 6.849. What is h rounded to the nearest 10? 10 Let f = -8.51 - -2.45. Let k = -6 - f. Let w = 0.54 + k. Round w to zero dps. 1 Suppose 5*m - 3*m = -5*w - 1037980, -3*w - 1037988 = 2*m. Round m to the nearest one hundred thousand. -500000 Let o = 0.04 + 0. Let s = o - -5.96. Let i = s - 6.0000011. Round i to six decimal places. -0.000001 Let z = 0.051 + -0.051054. What is z rounded to 5 decimal places? -0.00005 Let p = 6 - 4. Suppose -p*n - 3*n = 0. Suppose n*f - 5000000 = 5*f. What is f rounded to the nearest one million? -1000000 Let z = -2192 + 2228.82. Let k = -36 + z. Round k to one dp. 0.8 Let w = 103173 + -103171.09626. Let u = w + 0.09686. Let q = 2 - u. What is q rounded to 4 decimal places? -0.0006 Let v = 0.15999858 - 0.16. What is v rounded to 7 decimal places? -0.0000014 Let o = 11.088 + -11. Round o to 2 decimal places. 0.09 Let k = 10.05 + -12. Let u = 2 + k. Let a = 0.0499952 - u. What is a rounded to 6 dps? -0.000005 Let z = 5 + -2. Let i = 0 + z. Let y = i + -2.24. Round y to 1 decimal place. 0.8 Suppose 3*n = -0*n. Suppose n*w = w - 2. Suppose 0*a - m = -4*a - 3918, 0 = -3*a - w*m - 2944. What is a rounded to the nearest 100? -1000 Suppose 2*x + 170010 + 69990 = 0. What is x rounded to the nearest 100000? -100000 Let u = 23528 - 98525. Let v be 236*(1 + u/(-3)). Round v to the nearest 1000000. 6000000 Suppose -3*s + 595273 = 6895273. What is s rounded to the nearest one million? -2000000 Suppose -r + j + 53 = r, -5*j = -4*r + 121. Let x be (1755/2)/(r/32). What is x rounded to the nearest 100? 1200 Let c be (-7)/(-2) + (-1)/(-2). Suppose f = c*f + 1920. Round f to the nearest 100. -600 Let v = -1037 - -1037.0000551. What is v rounded to five dps? 0.00006 Suppose -3*l - 5*s + 2087156 = 0, -6 = 5*s + 19. Suppose l + 1184273 = 2*a. What is a rounded to the nearest 100000? 900000 Let y = -2936.06339984 - -2931.1932. Let p = 4.8802 + y. Let a = p + -0.01. What is a rounded to 7 dps? 0.0000002 Let n(c) = c**2 + 7*c - 8. Let b be n(-7). Let k = 13 + b. Suppose k*f - f = 2*i - 39984, 4*i - f - 79996 = 0. What is i rounded to the nearest 10000? 20000 Let y = 121.695 - -0.305. Let i = -122.0000053 + y. Round i to six decimal places. -0.000005 Let f = -31.51 + 7.58. Let r = f + -0.07. Let x = 22.1 + r. Round x to zero dps. -2 Let j = 14 + -15.3. Let c = j - -6.8. Let u = -6 + c. What is u rounded to the nearest integer? -1 Let u = -20297.4543 + 99816235.4543. Let d = 99795958.9999987 - u. Let b = -21 + d. Round b to 6 decimal places. -0.000001 Let u = -0.068631 + 0.0692. Round u to four dps. 0.0006 Let d be (-2)/4*0*1. Suppose d = h + 2*h. Suppose h = -5*b - 26832 - 78168. What is b rounded to the nearest 10000? -20000 Let q = -1.2899801 - -1.29. Round q to 6 decimal places. 0.00002 Let g = 0.0775 - 0.097. What is g rounded to 3 decimal places? -0.02 Let y = -26 - -23.8. Let h = y + 2.1999952. Round h to 6 dps. -0.000005 Let u = 8415511 - 35115511. What is u rounded to the nearest 1000000? -27000000 Let w(n) = n**3 + 4*n**2 + n + 4. Let b be w(-4). Suppose b*c - 4316022 = -c. Suppose 8183978 = 5*a - c. What is a rounded to the nearest 1000000? 3000000 Let y = -60.7 - -54. Round y to the nearest integer. -7 Let i = -19405961 + 19406073.00113. Let d = -298 - -186. Let o = i + d. What is o rounded to four decimal places? 0.0011 Let w = 40.287 + -40.8. Let j = w - -0.103. Let l = j - -4.01. Round l to the nearest integer. 4 Let p(d) = 195984*d**3 + d**2 + d - 1. Let q be p(1). Suppose -5*j - 217252 = 4*t + 27728, -4*j = 3*t + q. What is j rounded to the nearest 10000? -50000 Let l = 64 + -52. Round l to the nearest 10. 10 Let i = -2560 + 3700. What is i rounded to the nearest 100? 1100 Let v = -1088579 + 2388579. Round v to the nearest one hundred thousand. 1300000 Let k = -154.99899 - -155. What is k rounded to four dps? 0.001 Let w = -3121 + 3131.036. Let z = w + -10. What is z rounded to two dps? 0.04 Let l = -0.086 - -0.08606. Round l to 5 dps. 0.00006 Let k = -834 + 833.999087. Round k to 4 dps. -0.0009 Let l = 309 + -308.265. Let t = l - 0.7. Round t to 2 decimal places. 0.04 Suppose -1321104 = q + 3*f + 438884, 2*q + 5*f = -3519980. What is q rounded to the neares
{ "pile_set_name": "DM Mathematics" }
j be (4/(-6))/(20 - 18). Let y = -5.02 + 5. Let q = -1.02 - y. Which is the nearest to q? (a) j (b) 0.2 (c) -4 a Let i = 45 - 105.5. Let h = -61 - i. What is the nearest to h in 5, -1/3, -2/5? -2/5 Let p = 934.75 + -933. Let j = 1.67 - p. What is the closest to j in -2, -2/19, 1? -2/19 Suppose -4*s - 24 = 12. Let q be 108/(-26) + 3 - s/9. Which is the closest to -4? (a) 3 (b) q (c) 2/9 b Let i = 6812 + -6812. Suppose 0 = -10*l + 6*l - 8. Let x = -2 - -1.8. Which is the closest to l? (a) 2 (b) i (c) x c Let l = 7740 - 7743. Which is the nearest to 0.2? (a) 5 (b) l (c) -2/17 (d) 12 c Let u = 4902/61 - 589682/7259. Let l = 10/17 + u. What is the nearest to -0.023 in l, -1/2, -3/4? l Suppose 3*q - 7*q - 3*o - 16 = 0, 4*q = -4*o - 16. Let v be (-2)/q*(0 - 0). Let l = 127506 - 127512. What is the closest to l in -2/7, v, 2/21? -2/7 Let b = -7.22063 + 0.22063. What is the nearest to -1 in 3, b, 4, -1? -1 Let u be (-1929)/(-12792) - 520/3380. What is the nearest to 1 in 1, u, 1/3? 1 Let d = 4943 + -24724/5. What is the nearest to 1/3 in 3/5, 3/2, d? 3/5 Let p = 5.229 + -0.029. Let y = p + -5. Let n = -37 - -36.7. Which is the closest to 0? (a) y (b) 1/7 (c) n b Suppose 32*v + 188 = -9*v - 17. Which is the nearest to -3? (a) v (b) 1/11 (c) 3/4 (d) -0.1 a Suppose -426 - 66 = 4*b - 4*o, b = -3*o - 123. Let j = b + 176. Suppose -10*q - 13 = -j. What is the nearest to 0.1 in -2/3, q, 5? -2/3 Let k = 9013.9 + -9009. Which is the nearest to -1? (a) 5 (b) k (c) -6 c Let o = -1.88 - 0.12. Let x be (-3)/(-18)*(-4)/(-3). Let k = 775.8 + -776. Which is the closest to -2/5? (a) o (b) k (c) x b Let x = 0 - 0.1. Let i = x + -0.1. Let s = -7330.7 + 7331. Which is the nearest to 1/10? (a) s (b) -0.3 (c) i a Let h = -103.1 - -103.03. What is the closest to h in -5, 28, 3? 3 Let d = -33.904 + 0.204. Let l = 31.7 + d. Which is the nearest to l? (a) -5 (b) 8 (c) -4 c Let o = 0.039 - 0.139. Which is the nearest to 0.07? (a) 9 (b) o (c) -4 (d) -5 b Let y = 36 + -45. Let o = y - -36. Let k = o - 27.2. Which is the closest to -5? (a) 0.4 (b) -3/5 (c) k b Suppose -12 = -3*r + 5*l, -l + 7 - 27 = -5*r. Suppose -43 = -13*y - r. Which is the nearest to 8? (a) 2 (b) y (c) 0.4 b Let n = 49.2 - 49.762. Let k = -0.062 - n. Let s be 3*(-6)/243*3. What is the closest to -1 in k, -0.1, s? s Let k = 0.0324 + 4.9676. Let c(b) = -b**2 + 9*b - 7. Let o be c(8). What is the nearest to -0.2 in k, o, -2/9? -2/9 Let q = 22 + 18. Let n be (10/q)/(2 - 9/5). Let d(f) = -4*f**3 + f**2 - f + 1. Let m be d(1). What is the closest to -0.7 in n, m, -2/9? -2/9 Let p = -4.96 + -0.04. Let v be -3*2 + (-13 - (19 + -39)). What is the nearest to v in p, 4, -15? 4 Let w = -88.31 - -87.81. Which is the closest to -3/506? (a) -1 (b) w (c) 0.3 c Let m be ((-171)/135)/19 + (-4)/(-10). Which is the nearest to -3? (a) -1 (b) m (c) 4 (d) -0.4 a Suppose 0 = 5*f - 3*f + 2*k, -14 = -3*f + 4*k. Let g = -35.4 - -22.2. Let q = g + 12.7. What is the closest to 0.1 in q, -10, f? q Let x(g) = 21*g - 40. Let n be x(3). Let l = n - 25. Which is the closest to l? (a) -0.3 (b) -2 (c) 0.5 b Let d be (50/(-165) - (-44)/66)*(-2)/(-4). What is the closest to 0.1 in d, -493, 2, -5? d Let b = -8 - -5. Let o = -328135/7 - -328136/7. What is the nearest to 0.2 in b, 4, o? o Suppose 233*t - 14 = 226*t. Let n be t/(1/(-4)*600/(-125)). Which is the closest to 1? (a) -3 (b) -39/5 (c) n (d) -1/6 c Let y = -0.03762 - -0.05762. Which is the nearest to 2? (a) -4 (b) y (c) 3/4 (d) 6 c Let f = -948277/6 - -158606. Let p = -560 + f. Which is the nearest to -0.1? (a) 1/3 (b) -2/5 (c) 3 (d) p d Let y be 6/(-13) + -2*(-424)/936. What is the closest to -40/21 in 0.3, 5, y, 2? 0.3 Let j = 0.14 - -0.86. Let l be ((-1)/14)/(12*(-2)/(-288)). Let i = 1483/9 + -165. Which is the closest to 1? (a) i (b) l (c) j c Let r = -1 + 0. Let x = -0.90581 - -0.50581. What is the nearest to r in -1/4, -2, x? x Let v = -37.97 - 9.03. What is the nearest to 11 in 1/2, 0, v? 1/2 Suppose 0 = 28*q - 45*q + 238. Let o be ((4 + -11)/q)/(-1). Which is the closest to o? (a) -5 (b) -2/7 (c) -3/7 b Let n = -4159.348 + 4154.348. Let r = -4.2 - -6. Let j = -2 + r. What is the closest to j in n, 0, -2? 0 Let m be (1/(-2))/((48125/(-100))/(-55)). Which is the nearest to -1.3? (a) m (b) 0.5 (c) 0 a Let w = 26820 - 26824.1. What is the nearest to 3/4 in 4/7, w, 22? 4/7 Let f = -126013/520 + 3150/13. What is the closest to -39 in f, -3, -5/4? -3 Let h be (7485/42)/5 + 4 + 1. Let b = 77/2 - h. What is the nearest to 1 in b, 1, -0.1? 1 Let s = 7/886 + -225/443. What is the nearest to s in -7/3, -5, 0? 0 Suppose 20*g - 48*g - 26*g - 270 = 0. Which is the closest to 0? (a) g (b) 0 (c) 2/7 (d) -6 b Suppose 14*y - 12*y = -8. Let m be ((-1)/(-27))/(4/(16 + y)). Let v = 0.116 + -0.616. Which is the nearest to m? (a) v (b) -0.2 (c) 0.4 c Let m = -89 - -88.7. Let n = m + -4.7. Let b be (8/10)/((-2)/(-5) - 0). What is the nearest to 1 in -3, b, n? b Let z = 407/8 + -51. Let l = 0.11 + -0.24. Let n = 0.33 + l. What is the closest to 2 in z, n, -4? n Let c = 5708 - 5710.14. What is the closest to 0.2 in c, 2/15, -1/7, 0? 2/15 Let k = 2 + 0. Let z = -7727 - -7361.3. Let m = 366 + z. Which is the closest to 2/11? (a) k (b) 3/5 (c) m c Let n = 2 + -1.8. Let o = 52020.9 - 52021. Which is the closest to 5/7? (a) o (b) n (c) 1 c Let q = -393 + 366. Let s = 1.277 - 1.377. Which is the closest to 1? (a) q (b) 0.1 (c) s b Let q = 9233 - 9256.4. Which is the nearest to -1? (a) 2/11 (b) q (c) -2/7 (d) 3 c Suppose 2*n = -f + 250, -4*n + f + f = -508. Let v = -128 + n. Which is the nearest to -2? (a) -1/6 (b) v (c) 1 b Let l = -264.5 + 265. Let w = 1.4 + -1.3. What is the nearest to -2/7 in l, 0.2, w? w Let g = 440.43 - 4.43. Let s = 434 - g. What is the closest to 7 in -0.4, 0.03, s? 0.03 Let f be (-9856)/(-280) + (-4)/(-5). Suppose -19*u = f + 59. Let z be ((-2 + 2)/(-2))/(-2). What is the closest to -2/5 in u, 8, z? z Let j be (15/(-40))/(31/(-248)). Which is the closest to -1? (a) 2916 (b) 0.4 (c) j b Let j = 0.05 - 1.05. Let r(m) = -m**2 + 9*m - 18. Let q be r(10). Let z be (4/(-7) - 0)/(40/q). What is the nearest to j in 5, 1/2, z? z Let q(r) = -r**2 - 6*r. Let l be q(-3). Let d be ((-2)/(-5))/(l/5). Let t = -701.91 + 702.11. Which is the nearest to t? (a) -1/9 (b) -1/8 (c) d c Let d be 3/(-20)*(-24)/18. Let u = 0.7 - 0.67. What is the nearest to d in 0.1, 4, u? 0.1 Let j be 10/(-12) + (-76)/(-114). What is the closest to 1 in -3, j, -751? j Let r = 21 - 21.5. Let y = 3917 + -3913.014. Let n = 0.014 + y. What is the nearest to -1 in r, n, -0.1? r Let q = 1213 + -1211. Which is the closest to 0.1? (a) 1 (b) 254 (c) q a Let g be -9 + 6 + -3 - -5. Suppose i - 42*i - 1476 = 0. What is the closest to g in -5, i, 4/3? 4/3 Let z = 0.0231 - -219.9769. Let w = z + -224. Let s be (2 + -1)/(21/6). What is the closest to -3 in 0.3, s, w? w Let t = -3.2 + 3. Let d be (-6)/21 - (1923/399 + 46/(-437)). What is the closest to t in d, 1/2, -0.3? -0.3 Let b = -6.71 - -10.3. Let z = b + 0.41. What is the closest to -1/2 in 0, z, -5/6? -5/6 Let n = 1.1 - 0.1. Let x = -3608 + 3610. Which is the closest to 0? (a) x (b) n (c) -2/143 c Suppose 51 = 4*o + 3. Suppose -10*k = o*k + 66. Which is the nearest to k? (a) 2 (b) -1/3 (c) -2 c Let t = 3.95 + -8.56. Let r = t + 6.61. Which is the nearest to -1/2? (a) 0 (b) 1 (c) r (d) -0.1 d Let k = 350 + -346. Suppose 0 = -3*o - k*f - 25, f = -3*o - 1 - 12. What is the closest to 0.1 in o, 1/6, -35, 1/2? 1/6 Let w = 1649 - 572201/347. Let q = 2433/694 - w. Which is the nearest to q? (a) -2 (b) 1/4 (c) 4 c Let q = -4 - -8. Suppose 0 = -1964*n + 1865*n. What is the nearest to -2/9 in q, 5, n, 3/5? n Let x = 95.79 + -95.59. What is the closest to -2/5 in 2, 18/149, x, 0? 0 Let g = -6.013 + 10.013. Which is the closest to -4? (a) -2/49 (b) -1 (c) g b Let l be 2/(-14)*19880/(-2130). Let h(r) = r**2 - 6*r + 2. Let a be h(3). What is the nearest to -1 in l, 2, a? l Let m = -4.4 - -4. Let x be 825/(-275) - ((-10)/(-35) - (-44)/(-7)). Which is the closest to x? (a) 5 (b) m (c) 3 c Let q = 598.81 - 599.01. Let y be (1 + 32/(-10))/(-1). What is the closest to q in 1/2, 0.2,
{ "pile_set_name": "DM Mathematics" }
factors of f? 2, 3, 7 What are the prime factors of 3 + -2 - (-1795 + -4 + 4)? 2, 449 Let n = -153 - -2157. Let d be (-2)/(-13) + n/156. Suppose -5*c + 48 = d. List the prime factors of c. 7 Let z(u) = -u**3 - u**2 + 109. Let i be z(0). Let o = 208 - i. What are the prime factors of o? 3, 11 Suppose 3*w + 7 = 5*m, 5*m - 4*w - 6 = -0. Suppose -m*q + 2 + 6 = 0. Suppose -3*b = -3 - 3, -q*b = 3*r - 119. List the prime factors of r. 37 Let s(j) = 2*j**2 - 9*j + 9. Let a be s(4). Suppose a = b + 3*m, b + 2*m + 2*m - 6 = 0. List the prime factors of b. 2 Let l = -2471 + 4895. What are the prime factors of l? 2, 3, 101 Let z be (-175)/2 + (-2)/4. Let p = z + 254. Suppose 0 = -2*j - 4*o + 62, o = 5*j - 0*j - p. What are the prime factors of j? 3, 11 Suppose -5*l = -5*c - 4595, 5*l - 3*c = 2499 + 2104. List the prime factors of l. 13, 71 Suppose 0 = 5*o + 162 - 27. Let t = 34 + o. List the prime factors of t. 7 Suppose 5*c - 3*t = -77, 2*c + 11 = c + 5*t. Let i = c - -10. List the prime factors of (-207)/(-6) + i/4. 3, 11 Let q(p) = -p**3 - 9*p**2 - 9*p - 8. Let i be q(-8). Suppose 3*s - 19 + 4 = i. Suppose -w + s = -12. What are the prime factors of w? 17 Let y(j) = -17*j + 20. Suppose -33 - 2 = 5*t. List the prime factors of y(t). 139 Suppose u - 3*k = 715, 4*k - 1056 + 3181 = 3*u. List the prime factors of u. 19, 37 Suppose -2*o + 5*t = -109, -4*t = -3*o - 2*t + 158. Let z = o - 35. Let k = 24 + z. What are the prime factors of k? 41 Let p be 1 - (1 - 8/4). Suppose 4*c - p*d + 83 = -7, 70 = -3*c + d. Let t = 37 + c. List the prime factors of t. 2, 3 Suppose 2*k - 48 = -4*w, -3*w - 112 = -3*k + w. Suppose 4*a = -24 + k. What are the prime factors of a/14 - 2736/(-56)? 7 Let l(s) = 4*s + 15. Let c = -21 - -28. List the prime factors of l(c). 43 Suppose 6 = 2*x - 0. Suppose -7 + x = n + 2*o, 0 = -4*n + 2*o - 66. Let v = -10 - n. What are the prime factors of v? 2 Suppose 4*h + 2136 = -4*p, -2*p + 3*p - h = -542. Let x = -312 - p. List the prime factors of x. 2, 113 Suppose 0 = -48*c + 143986 + 52334. List the prime factors of c. 2, 5, 409 Let n = 10 - 6. Let t be 12/16*n + 2. Suppose -2*l - 36 = -t*l - 4*w, -5*w = 0. List the prime factors of l. 2, 3 Suppose t - 6 = -2*t. Suppose 0 = 2*i - 2*o + 36, -5*o + 13 = -t. What are the prime factors of i/((-2)/(24/9))? 2, 5 Let h = -8 + 13. Let i(w) = w**3 - 7*w**2 + 2*w - 7. Let t be i(h). Let b = -5 - t. What are the prime factors of b? 2, 3, 7 Let r = 440 - 248. What are the prime factors of r? 2, 3 Let r = -272 - -146. Let t = r - -237. What are the prime factors of t? 3, 37 Suppose 5*n - 2804 = -3*o, -2*o + 0*n = 2*n - 1868. What are the prime factors of o? 3, 311 Let b(t) = -t - 10. Let m be b(-12). What are the prime factors of (-1 + -60)*(-3 + 3 - m)? 2, 61 Suppose -3*f + 1596 = 9*f. List the prime factors of f. 7, 19 Let q(m) = m**3 + 26*m**2 + 51*m - 21. What are the prime factors of q(-22)? 13, 61 Let y(c) = -c. Let p be (-14)/4*(-108)/6. Let v be ((-1)/3)/(7/p). List the prime factors of y(v). 3 Suppose 4*f + 4 = -2*x - 2*x, -5*f + 5*x = -35. Suppose -f*k = 8 - 137. List the prime factors of k. 43 Let g be (0 - -1)/((-4)/40*2). Let l(y) = -6*y**2 - 16*y - 20. Let i(h) = 3*h**2 + 8*h + 10. Let o(f) = 9*i(f) + 4*l(f). List the prime factors of o(g). 3, 5 Let w(j) = -j**3 + 15*j**2 - 13*j - 11. Let v be w(14). Let q = v + 0. Suppose 94 = q*k + 34. What are the prime factors of k? 2, 5 Let q(f) = -f - 4. Let z = 0 - 4. Let t be q(z). What are the prime factors of 4 + -3 - (-4 - t)? 5 Let y(q) = -8*q**2 + q + q**3 - 3 - 4 + 6*q. Let g(h) = 9*h**2 - 2*h + 1. Let w be g(1). What are the prime factors of y(w)? 7 Suppose p - 4 = -3. Let h be ((-2)/p)/(2/(-83)). Suppose -2*t = -h + 29. List the prime factors of t. 3 Let l = 13 + -8. Suppose 3*r + l = 11. What are the prime factors of ((-4)/r)/(2/(-9))? 3 Let w(z) = 24*z - 16. Let a be w(4). Let q = 5 + a. What are the prime factors of q? 5, 17 Let w = -7 + 2. Let s be ((-9)/5)/(1/w). List the prime factors of (-2)/9 + 47/s. 5 Suppose 0 = 10*u - 4*u - 1800. List the prime factors of u. 2, 3, 5 Let z(s) = s**2 - s**2 + s**2 + 6*s - 6. What are the prime factors of z(-13)? 5, 17 List the prime factors of ((-63)/(-9) + -7 + -1)*-1484. 2, 7, 53 Let a be 1 + 0 - (-4 + 1). Suppose -4*g - 7*k + 4*k + 537 = 0, -2*k = -4*g + 522. Suppose 3*q = -5*r + g, 0 = -a*r - 3*q - q + 104. List the prime factors of r. 3 Let m = 1040 - -116. What are the prime factors of m? 2, 17 Let a be 29/((-3 - -2) + (-12)/(-11)). Let l = a - 159. What are the prime factors of l? 2, 5 Suppose -15*m = m - 5552. List the prime factors of m. 347 Suppose -6*i - 6816 = -12*i. What are the prime factors of i? 2, 71 Let m = 544 + -324. What are the prime factors of m? 2, 5, 11 Suppose 3430 = 5*v - 5*k, 4*v + 2058 = 7*v + 2*k. List the prime factors of v. 2, 7 Let f(i) be the second derivative of -i**4/6 - i**3 + 3*i**2/2 - 2*i. Let s(b) be the first derivative of f(b). What are the prime factors of s(-8)? 2, 13 Let b be (-1 - -5)*(2 - 0). Suppose 0 = 3*c - c - b. Suppose 0 = -c*j + 3*j + 3. List the prime factors of j. 3 Suppose -10 = -3*q - 1. Suppose -f + 40 = 5*d, 3*d - 9 - 43 = 5*f. Let m = q + d. List the prime factors of m. 2, 3 Let u = 2373 + -1401. List the prime factors of u. 2, 3 Suppose -4*a + 3*a - 4*q = 2, -5*q = 5. Let h be 80/(-2) + (-1 - a). Let s = -21 - h. List the prime factors of s. 2, 11 Let z(a) = 8*a**3 + a**2 - 1. Let d be z(1). Let w(k) = -4*k**3 + d*k**2 - 3*k**2 + 1 + 5*k**3 - k. What are the prime factors of w(-4)? 3, 7 Suppose -111*r + 100*r = -198. List the prime factors of r. 2, 3 Let l be 6/(-4)*(-1494)/27. Suppose 0 = 2*t - 111 - l. Suppose -t = -4*p + 67. What are the prime factors of p? 41 Let l(n) = 9*n. Let p(o) = -10*o + 1. Let y be 4/6 - 20/3. Let a(q) = y*l(q) - 5*p(q). List the prime factors of a(-4). 11 Suppose -52*n = 5*n - 289047. List the prime factors of n. 11, 461 Let n(p) = p**3 + 29*p**2 - 47*p - 81. List the prime factors of n(-30). 3, 11, 13 Suppose 0 = -4*h - h - 5. List the prime factors of (-215)/(-5) - (-4)/h. 3, 13 List the prime factors of (-9 + 1239/(-6))*(-1 + -1). 431 Suppose -11*n + 32 = -12. Suppose 0 = -h - n, -2*h + 6*h - 749 = -5*m. List the prime factors of m. 3, 17 Let m(d) = -4*d**2 - 39*d + 16. Let a be m(-14). Let r = 319 + a. List the prime factors of r. 97 Let l = 15 - 16. Let h be (7 + -3)*l*-2. Let f = h + 31. List the prime factors of f. 3, 13 Suppose -4*o = -x + 5*x - 2172, 3*o - 5*x = 1605. List the prime factors of o. 2, 3, 5 Suppose 3*h - 4*w = -35, 3*h - w + 15 + 5 = 0. What are the prime factors of 5*((-93)/h - -1)? 2, 7 Let v(n) = -6*n + 6. Let k be v(1). List the prime factors of -9 + 9 + k + 189. 3, 7 Suppose 2*w = -5*j + 21, -3 = 3*w - 4*j - 0. Suppose -w*n = -2 + 20. Let h = 26 + n. List the prime factors of h. 2, 5 Suppose 0 = 2*s + 5*j - 119 - 939, j + 2618 = 5*s. List the prime factors of s. 2, 131 Suppose -5*i - 2*m = 2, 6*m - 7*m = 5*i + 6. Let w(b) be the second derivative of -7*b**5/20 + b**4/4 + 5*b**3/6 + 2*b**2 + b. List the prime factors of w(i). 2, 31 Let w = 10 - 26. Let i = w - -26. Suppose 3*q - 115 = -i. List the prime factors of q. 5, 7 Let a be (-20)/(-3)*(-216)/(-10). Suppose 2*t - a = -2. Suppose 3*p + t = 5*d, -4*d - 2*p = 2*p - 44. What are the prime factors of d? 13 Let y(v) = -v**2 - 13*v - 6. Let n be y(-12). Suppose -4*j + 2 + n = 0. Suppose -t + 4*c - 36 = -4*t, -4*t = j*c - 48. List the prime factors of t. 2, 3 Suppose 0 = 3*s - 2*j - j - 1323, -s = -3*j - 431. List the prime factors of s. 2, 223 Suppose -137*l + 136*l = 4*p - 2060, 1036 = 2*p + 2*l. What are the prime factors of p? 2, 257 Let x = -9 + 12. Suppose -x*g + 33 = 3*l, 11 = l + 5*g - 12. Suppose l*v - 5*v - f - 160 = 0, -2*v = 3*f - 92. What are the prime factors of v? 2, 13 Let z = 216 + -210. Let n(r) be the first derivative of r**3/3 - 3*r**2/2 - 5*r - 1. List the prime factors of n(z). 13 Suppose 122 = 5*f - 38. Suppose -2*h + 103 = 5*k, 24 = 4*k - 5*h - f. Suppose -v + 0 = -k. What are the prime factors of v? 19 Suppose -2*p - 2200 = -6*p - 3*a, 3*p - 2*a = 1650. What are the prime factors of p? 2, 5, 11 Let k = -46 + 44. Let g(j) = -10*j**3 - 3*j**2 - 2*j. What are the prime factors of g(k)? 2, 3 Suppose -12*h = -9*
{ "pile_set_name": "DM Mathematics" }
composite? True Let d(o) = o - 3. Let l be d(5). Suppose -4*k + 275 = -2301. Suppose -l*a + k = 2*a. Is a composite? True Suppose 4*a - 1 = 7. Let o be (-1 - 1 - -2)/a. Suppose o = x - 0*x - 33. Is x a prime number? False Is (-6513 + -4 - 1)*(-1)/2 prime? True Let g(v) be the first derivative of 1/3*v**3 + 7/2*v**2 - 1 + 3*v. Is g(-7) composite? False Suppose -7*v + 5*v + 1110 = 0. Suppose v = 4*u - 17. Is u a prime number? False Let u = -6 - -7. Let x = 2 + -3. Is 47/((x + 2)*u) prime? True Suppose 2*g + 3*k + 0 - 14 = 0, 0 = 3*g - 4*k - 4. Let t = g - -1. Suppose -32 = -t*a + 3*h, -4*a - 4*h = a - 39. Is a composite? False Let q = 0 + 1. Is 505/10 + q/2 a composite number? True Suppose 4*d - 5*k = 446 + 258, d - 169 = 3*k. Is d prime? True Let o(f) = -f**3 - 10*f**2 - 19*f + 1. Let m be o(-8). Suppose 0 = -m*j + 23*j + 38. Is j a composite number? False Let i(w) = w**3 - 4*w**2 - w + 4. Let b be i(4). Suppose b = 5*m + 479 + 106. Let x = m - -200. Is x a prime number? True Is 6/(-15) - 20832/(-30) prime? False Let h = 1 - 3. Let c = -8 - -12. Is 4 - (c + h) - 0 a composite number? False Is (-4)/6 - 1/3*-7817 a prime number? False Suppose -10 = 5*l + 2*r - 33, -3*r + 27 = 5*l. Suppose -o - l*o = -844. Is o composite? False Let t be (-6)/(-21) + (-186)/14. Let w = 2 - t. Let n = w + -5. Is n a composite number? True Let f = -2 - -2. Suppose f*d = -5*v - 3*d + 782, 4*v = -d + 627. Is v prime? True Let u = -289 - -496. Let m = 20 - 18. Suppose -m*c + u = c. Is c a composite number? True Suppose -g + 1224 + 31 = -4*y, -5*g = -3*y - 6292. Is g a composite number? False Let v(x) = -6*x + x**2 - 2 + 7 + 0. Let r be v(6). Suppose -r*n + 323 = -62. Is n composite? True Let p(f) = 57*f - 17. Is p(10) prime? False Suppose -155 = -5*p - 3*h, 2*p + 3*p + 4*h - 155 = 0. Is p prime? True Let q(a) = 4*a - 2. Let v be q(2). Let w(s) = 16*s**2 - 4*s - 11. Is w(v) prime? True Let m(x) be the second derivative of -x**3/2 + 3*x**2 - x. Is m(-5) prime? False Let i = 630 + -43. Is i prime? True Let g(b) = 2*b - 5 + 4 - 4*b + 4*b**2. Is g(4) prime? False Suppose -2*w + 6 = -4*w, 3*w = -5*r - 24. Let v be r*(-3)/(-15)*-5. Suppose m = v*m - 2*q - 34, 4*q = m - 26. Is m composite? True Let h = 319 - 98. Is h composite? True Suppose 4*k = 2*k - 4. Is k + (0/(-3) - -117) composite? True Let o be -14*38/(-4)*1. Let c = -87 + o. Is c composite? True Let h(i) = -222*i**3 + i. Let z be h(-1). Let b = z + -62. Let n = 241 - b. Is n prime? False Suppose -c + 4*c + 3 = 0. Let k be (1/(-3))/(c/12). Suppose 7*p - k*p - 57 = 0. Is p prime? True Suppose o = -2*m + 4, 4*o - 16 = 3*m - 5*m. Suppose o*c - 291 = c. Is c composite? False Suppose 3*i + 4*h = 547, -h + 748 = 4*i - 5*h. Is i a prime number? False Let k = -40 + 87. Is k a prime number? True Let u be 318/(-4)*(-4 - -2). Suppose -2*z + u = z. Is z composite? False Suppose -4*x + 308 = 3*a, 3*x + 77 = 4*x - 2*a. Is x prime? False Let l = 95 - -32. Is l prime? True Let p(a) = -a + 6. Suppose -5*l = -2*l + d - 23, 3*d + 3 = 3*l. Let m be p(l). Suppose -3*y = 2*j - 245, 3*j + 225 = 3*y - m*j. Is y a composite number? False Suppose -8*s = -7358 + 2022. Is s prime? False Suppose 5*r + 4*x - 35 = 0, -5*r + r + 28 = -3*x. Let d(l) = -4 - r + 4 + 4*l. Is d(7) prime? False Suppose 5*h - 3*p = 19440, h + 1032 = 4*p + 4903. Is h a composite number? True Is -1*942/(-4)*(-12)/(-6) prime? False Let h = 1373 + -808. Is h prime? False Suppose -4*k + 2977 = 3*f, k + 199 - 939 = -5*f. Suppose -6*y + y + k = 0. Is y prime? True Let s = -18 - -785. Is s composite? True Let u be 10*(-9)/(-12)*6. Let y = 100 + u. Is y composite? True Suppose -c - 674 = -3*c. Is c composite? False Let x(w) = 2*w**3 + 2*w**2 - w - 8. Is x(7) composite? False Suppose 5*p - 52 = p. Suppose 5*v - p - 457 = 0. Is v a prime number? False Let s(y) = -2*y + 6. Let h be s(8). Let f(l) = -2*l + 11. Is f(h) a prime number? True Let l be (292/6)/(4/6). Suppose 4*z = v + 3*z - l, 3*z = 9. Suppose -v = -2*h - 2*h. Is h prime? True Let l(m) = m**2 + 5*m - 2. Let h be l(-10). Let t = 74 - h. Is t prime? False Suppose 0*s + 4*s + 4 = -b, -3*s = 5*b - 14. Let u = s + 5. Suppose o - 181 = -5*v, -o = 2*v - u*o - 82. Is v a composite number? False Let m = 4 + 5. Let t(z) = z**3 - 8*z**2 - 8*z + 5. Is t(m) prime? False Let j(t) = -34*t. Let l(h) = 35*h - 1. Let x(u) = -6*j(u) - 5*l(u). Is x(6) composite? False Let t be 1*(-2)/(-4)*4. Suppose 2*d + u + 1 = 0, t*u - 3 = u. Is (-3)/18*d*93 composite? False Let k = 203 - 57. Let c = -164 + 85. Let s = c + k. Is s prime? True Suppose -36 = -4*w + l, -10 = w - 6*l + l. Let i = w + 9. Is i composite? False Suppose 439 = -5*j + 1494. Is j composite? False Suppose -l - 16 = 4*y, 0*y - 5*y = -3*l + 20. Suppose 30 = 5*h - l*h. Is h prime? False Let f(c) = -3*c**3 - 2*c - 1. Let b be f(-1). Suppose -3*t - 127 = -b*t. Is t a prime number? True Is (2 - (-1)/(6/(-15)))*-326 composite? False Suppose -6*b = 1698 - 9900. Is b composite? False Let w(t) = 1263*t - 11. Is w(2) prime? False Let n be 4/14 + (-26)/(-7). Suppose -n*l + l = 0. Suppose -2*s = -5*j + 165, -5*j + 2*s - s + 165 = l. Is j a composite number? True Suppose 4*j - 26 = 3*m, -j = -0*m + m - 3. Let i(f) = -33*f**3 - 3*f - 3. Is i(m) composite? True Let z be ((-54)/(-12))/(1/22). Suppose z = 5*w - 171. Suppose j = -15 + w. Is j a prime number? False Let j = -1022 + 3624. Is j a prime number? False Let y = -534 + 772. Let u = y + -95. Is u prime? False Suppose 37*o - 89 = 36*o. Is o prime? True Is (-1 - 354)/(-5)*5 prime? False Let i be (-3)/((-3)/(-2)) - -46. Suppose -3*p = p - i. Is p a composite number? False Let i(f) = 3*f**2 + 9*f - 1. Is i(8) a prime number? True Let v(j) = -2*j**2. Let f be v(2). Suppose -22 = 3*s - s. Let k = f - s. Is k prime? True Suppose p + 5*x = 3, -5*p = 2*x - 6*x - 15. Suppose -2*h = -p*h + 5. Suppose -h*z + 3*k + 2*k = -575, 106 = z - 4*k. Is z a composite number? True Let y(x) = -758*x + 11. Is y(-4) composite? True Let m be ((-8)/5)/((-2)/5). Suppose -4*p + m = -0, -193 = -4*f - 5*p. Is f composite? False Let f(v) be the first derivative of v**2/2 - v + 2. Let w be f(4). Suppose -w*i = -2*b + 215, -509 = -5*b - i - i. Is b prime? True Suppose 0*i - 110 = -5*i. Is i a prime number? False Let c(a) be the third derivative of a**4/24 - 5*a**3/3 - 2*a**2. Let v be c(7). Is ((-334)/v)/((-2)/(-3)) prime? True Let z(h) = 2*h**3 + h**3 - 6*h - 2*h**3 - 2*h**3 + 8*h**2 - 10. Let p be z(7). Let i(x) = -3*x**3 - 3*x**2 - x - 4. Is i(p) prime? True Suppose 5*d + 2*o = 10, -3*o + 8 = -2*d + 31. Suppose 0 = -d*r - 2*m + 216, 4*r + m = -2*m + 214. Is r a prime number? False Let d(c) be the first derivative of 5*c**3/3 - c**2/2 + 5*c - 6. Is d(-4) composite? False Suppose 4*a + 47 = -49. Let x = -38 + 96. Let q = a + x. Is q a composite number? True Let m = 557 + 152. Is m a composite number? False Suppose 3*a = -38 - 7. Let p = a + 142. Is p a prime number? True Let y(k) = 5*k**2 + 3*k - 3. Let j be y(2). Let m = 12 + j. Is m prime? False Let a(y) = -y + 5. Let h be a(3). Suppose 0 = -3*r + h*r + 7. Is r a composite number? False Let g = 785 + -306. Is g a composite number? False Let a(m) = 64*m**2 + m. Is a(1) prime? False Suppose 2*v + 2*v + 3*t = 1309, 5*t = 3*v - 1018. Is v prime? True Suppose -3*b = -66 - 51. Suppose 0 = -3*l - 2*j - 52, -2*l - 24 = -0*l + 4*j. Let u = b + l. Is u a prime number? True Suppose x = 3*x - 198. Let i = 152 - x. Is i composite? False Suppose 0 = -2*l - 4*z + 70, -3*l + 24 + 76 = z. Suppose -3*i - l = -198. Let v = i - 22. Is v a prime number? False Suppose -2*g - 3*y + y + 2126 = 0, 2*g = 4*y + 2114. Is g a prime number? True Suppose -3 = 2*v - 1. Let k(c) = c - 2. Let a(h) = h - 1. Let l(j) = v*a(j) - k(j). Is l(-6) a prime number? False Suppose -2 = -3*v + 1. Let u be 2/2 + -2 + v. Suppose -2*n + 13 + 61 = u. Is n prime? True Let t = 640 + -5. Is t composite? True Suppose -2*q + 2 = j - 1, 3*q = -j + 3. Suppose 13 = h - q*h. Suppose 2*z + h - 75 = 0. Is z composite? False Let n(y) = -y**2 - 8*y - 9. Let s be n(-6). Suppose 4*v = v + 4*w + 543, s*v - 2*w = 543. Is v prime? True Let f be (-3)/(9/(-402))*-1. Let s be 191*(0 + 1)*1. Let p = s + f. Is p composite? True Suppose -3*a = -2*u + 149, u - 4*u + 251 = a. Let g = u - -33. Is g a
{ "pile_set_name": "DM Mathematics" }
by b(40)? 132 Let i be -7*(22/242 - (-146)/(-154)). Suppose -3*s + 5*o = -136, -4*s + i*s = -2*o + 96. Calculate the remainder when s is divided by 28. 19 Suppose 0 = 3*k + 5*x + 492, -2*x + 492 = -3*k - 0*x. Let v = k - -197. What is the remainder when v is divided by 0 + -2*(-9)/2? 6 Suppose 0 = 4*q + 4*t - 644, -5*q + 641 = -t - 188. Let i = q + -53. What is the remainder when i is divided by 29? 25 Let u(l) = -l**2 + 44*l + 336. What is the remainder when 2350 is divided by u(0)? 334 Let n(v) = 58*v - 1772. Calculate the remainder when n(39) is divided by 81. 4 Let z = 15 - 24. Let m = -3 - z. Calculate the remainder when 15 is divided by m. 3 Suppose 14*w = 142 + 404. Suppose -w*z = -1062 + 126. Calculate the remainder when z is divided by 14. 10 Let j(v) = 153*v**3 + v**2 + 2*v - 1. Let y be j(1). Suppose -30 = -157*l + y*l. Calculate the remainder when 59 is divided by l. 14 What is the remainder when (3 - 2)*(3 - 702/(-9)) is divided by 39? 3 Suppose 277*z = 81*z + 1960. Calculate the remainder when 317 is divided by z. 7 Let v(i) = i**3 - 23*i**2 - 41*i - 205. What is the remainder when 182 is divided by v(25)? 2 Let i = -283 - -296. What is the remainder when 1/(-1) + 16 + 1 is divided by i? 3 Let b = -298 - -295. Calculate the remainder when -2 + b + 81/3*3 is divided by 26. 24 Let a be (-58)/(-5) + ((-10)/25)/(-1). Suppose -a*u + 18 = -3*u. Suppose -2*v - 17 = -3*g, 4*g - 19 = -u*v + v. What is the remainder when 6 is divided by g? 1 Suppose -104*j = -100*j - 20. Suppose j*v = -v + 24. What is the remainder when 81 is divided by v? 1 Suppose 220*o + 136 = 237*o. Calculate the remainder when 1301 is divided by o. 5 Let q = -154 - -215. Let g(o) = -2*o**2 + 378*o + 2758. What is the remainder when q is divided by g(-7)? 5 Let v(f) = -f**3 - 3*f**2 - 4*f - 6. Let c = -68 - -73. Suppose -c*z + 2*a - 23 = 0, 4*z = -5*a + a + 4. Calculate the remainder when 9 is divided by v(z). 3 Suppose -6*z - 4*z = -50. Suppose 5*m - 3*x - 4 - 845 = 0, -x = z*m - 857. What is the remainder when m is divided by 45? 36 Let j(p) = 831*p + 586. Calculate the remainder when j(0) is divided by 22. 14 Suppose -5*y = -15, -y + 7 = -5*m - 16. Suppose -2*d + 13 + 5 = 4*w, 27 = 3*d - w. What is the remainder when 0 + m + 2 + 27 is divided by d? 7 Let v(i) = -i**2 - 12*i - 13. Let d be v(-11). Let s(z) = -77*z - 25. What is the remainder when s(d) is divided by 22? 19 Suppose 4 = 4*m - 8, 5*i = 2*m + 59. Let r(p) = p**3 - 13*p**2 - 5*p + 6. Let h be r(i). What is the remainder when (-3)/(15/10)*h is divided by 11? 8 Suppose -p - 396 - 1181 = -v, 4*v = -4*p + 6308. What is the remainder when v is divided by 78? 17 Let r = -22 + 36. Let n(a) = -a**2 - 3*a - 23. Let s(x) = -4*x**2 - 8*x - 67. Let d(u) = 7*n(u) - 2*s(u). Calculate the remainder when d(11) is divided by r. 11 Suppose -20*z - 406 = -1306. Calculate the remainder when 276 is divided by z. 6 Calculate the remainder when 56/(-140) + ((-99)/15)/((-7)/3493) is divided by 658. 3 Let h = 3017 + -1040. What is the remainder when h is divided by 132? 129 Let b(a) = a**3 + 19*a**2 - 18*a + 117. Calculate the remainder when b(-20) is divided by 22. 11 Let o(c) = 16*c**2 + 168*c + 686. What is the remainder when 398 is divided by o(-4)? 128 Suppose -1 = -5*q + 69. Let v = 266 + -349. Let w = v + 222. Calculate the remainder when w is divided by q. 13 Suppose 49*i = 72*i + 23. Let c = -8 + 7. What is the remainder when 10 is divided by 0/c - (-8 - (-1 + i))? 4 Let o(r) = 2*r**2 - 4*r - 2. What is the remainder when 1690/40 - ((-120)/32 + 4) is divided by o(4)? 0 Let b(j) be the first derivative of 4*j**2 - 4*j + 16. Let p be b(1). Suppose 0 = -9*g + p*g + 75. Calculate the remainder when 57 is divided by g. 12 Suppose 3*y - 251 - 61 = 0. What is the remainder when ((-150)/8)/((-78)/y) is divided by 18? 7 Let q(b) = 16*b - 121. Let g be q(8). Suppose -t = 4*f - 10, -g*t - 95 = -12*t - 5*f. What is the remainder when 131 is divided by t? 21 Suppose -t - n + 48 = 0, 2*n = -5*t + 182 + 49. Let r(y) = -8*y**2 + 22*y + 3. Let a be r(5). Let m = a + 95. What is the remainder when t is divided by m? 5 Suppose x - 9 = 8. Suppose 13 = -5*l + 38. Suppose 125 = 4*z - l*w, 0 = -2*z + 7*z - w - 151. What is the remainder when z is divided by x? 13 What is the remainder when 4/(-5) - (-1776)/20 is divided by 80? 8 Let g be (-20)/50 - -58*1/(-5). Let c be (g/(-18))/(2/(-6)). What is the remainder when 14*c*12/(-7) is divided by 13? 9 Let g(c) = 11*c**2 - 3*c - 39. Calculate the remainder when g(-4) is divided by 53. 43 Let k = -184 + 129. Let y = -49 - k. Suppose -g + y = -41. Calculate the remainder when g is divided by 10. 7 Let l = -166643 + 166655. Suppose -5*g + 83 = -42. Calculate the remainder when g is divided by l. 1 Calculate the remainder when (-665 + 70)*(-6)/5 is divided by 13. 12 Suppose -2*k = -5*p - 70, k - 7*p + 12*p = 80. What is the remainder when 915 is divided by k? 15 Suppose 224 = -4*h - 2*q + 14, 0 = -2*h - 4*q - 108. Let k = h - -56. Suppose -3 = k*a + 3*b, 4*a - b - 14 = a. Calculate the remainder when 11 is divided by a. 2 Suppose 267*h - 2138 = 68*h + 3036. What is the remainder when 6237 is divided by h? 23 Suppose 2*k - 240 = -0. Suppose -3*u + 93 = -x, 6*u - 4*u = 5*x + 62. What is the remainder when k is divided by u? 27 Let n = -216 + 96. Let i = -109 - n. Suppose i*a - 15 = 8*a. What is the remainder when 24 is divided by a? 4 Suppose -322 + 308 = -h. Suppose -2*z - h = c - 5*c, -3*c + 12 = -z. What is the remainder when 54 is divided by c? 4 Let f(z) = z**3 - 12*z**2 - 9*z. Suppose 62 - 17 = 3*o - 2*a, -o + 19 = -2*a. Calculate the remainder when f(o) is divided by 33. 19 Let n = 92 + -11. Let a = n + -37. Suppose -f + 2*u - 199 = -268, 4*u = -f + 117. Calculate the remainder when f is divided by a. 41 Let c be 2/(0 - 2) - (5 + -6). Suppose c*f - 3*f = -7*f. Suppose f = 58*v - 61*v + 147. What is the remainder when v is divided by 13? 10 Let w = 208 - 206. Suppose -w*b = -3*b + 35. Calculate the remainder when b is divided by 19. 16 Calculate the remainder when 398 is divided by (660/(-121))/(4/(-22)). 8 Let p = -78 - -83. Suppose -5*o + 29 = 3*i, -p*i - o + 75 = -6*o. Suppose y - 22 = -2*b, 2*y - 3*b = -2*b + 49. Calculate the remainder when y is divided by i. 11 Let f = -4450 - -5076. Calculate the remainder when f is divided by 201. 23 Suppose 143*y = 157*y - 14770. What is the remainder when y is divided by 96? 95 Let o = 1230 + -1126. What is the remainder when 930 is divided by o? 98 Let h(u) = -2*u**3 - 2*u**2 + 10*u + 309. What is the remainder when h(0) is divided by 159? 150 Let a(l) = -l**2 + 7*l - 12. Let k be a(8). Let v be 1 + (-12)/15 + (-436)/k. Let w = 39 - v. What is the remainder when 30 is divided by w? 13 Let s(b) = 29*b + 494. What is the remainder when 5126 is divided by s(-16)? 26 Let m(o) = 6*o - 19. Suppose -24*l = -21*l. Let t be m(l). Let h(d) = -6*d - 52. Calculate the remainder when h(t) is divided by 21. 20 Suppose 28*w - 1 = 167. Suppose 25 + 65 = w*m. Suppose u - q = -0*q + 27, 2*u + q - 54 = 0. What is the remainder when u is divided by m? 12 Suppose 0 = -2*p - 1 + 15. Suppose -p*v = -17*v + 900. Suppose -3*h + 303 - v = 0. Calculate the remainder when h is divided by 18. 17 Let x = -10146 + 10150. Calculate the remainder when 1910 is divided by x. 2 Suppose -9*p + 4*p + 325 = -280. What is the remainder when 986 is divided by p? 18 Let y = 7958 - 4799. Calculate the remainder when y is divided by 51. 48 Suppose 19*o - 21*o = -2*x + 108, 2*x = -2*o + 84. What is the remainder when 1072 is divided by x? 16 Suppose 9903 = 4*u - 3*l, -l + 3*l + 2477 = u. Suppose u = 27*k + 18. What is the remainder when 359 is divided by k? 86 Let z(g) = 3*g**3 - 22*g**2 + 14*g + 18. Calculate the remainder when z(7) is divided by 26. 15 Suppose -4*m = 1 - 17, -4*z - 2*m + 1688 = 0. Let t = z + -409. Calculate the remainder when 361 is divided by t. 9 Suppose 0 = r, -29*j + 27*j - 512 = 2*r - 2002. What is the remainder when j is divided by 214? 103 Let h = -18269 + 19404. What is the remainder when h is divided by 381? 373 Suppose -124 = -13*g + 110. What is the remainder when (-642)/(-12) - (-2)/4 is divided by g? 0 Suppose 2*t + 4*g - 3 = 5, -61 = -4*t + g. Calculate the rem
{ "pile_set_name": "DM Mathematics" }
*4 - 1/10*j**5 - 4*j**2 + 7*j. What is the derivative of p(m) wrt m? -6*m**2 Let h(m) be the first derivative of -2*m**3/3 + 2*m**2 + 3*m - 3. Let g(o) be the first derivative of h(o). What is the first derivative of g(s) wrt s? -4 Let s(l) be the second derivative of l**6/10 - l**4/6 - 3*l. What is the third derivative of s(b) wrt b? 72*b Let m be ((-3)/2)/((-2)/4). Suppose h = -2*s + 5*s - 8, 4*s - 16 = 0. Find the third derivative of h - 4 - r**m + r**2 wrt r. -6 Let m(x) = 5*x**3 - 12*x**2 + 2. Let u(v) = -20*v**3 + 48*v**2 - 9. Let j(c) = 9*m(c) + 2*u(c). What is the third derivative of j(h) wrt h? 30 What is the second derivative of -6*i**4 - 5*i**4 + 0*i**4 + 2*i**4 + i wrt i? -108*i**2 Suppose 0*z = -2*z. What is the derivative of c**2 + 10 + z*c**2 - 9 wrt c? 2*c Let h(m) be the second derivative of -4*m**6/15 - m**4/12 + 5*m. Find the third derivative of h(u) wrt u. -192*u Differentiate 7*c**3 - 22*c**3 - 5 - 6 with respect to c. -45*c**2 Let r(h) be the third derivative of 3*h**2 + 1/60*h**6 + 0 + 1/8*h**4 + 0*h**5 + 0*h**3 + 0*h. Find the second derivative of r(f) wrt f. 12*f Let y be (-18)/8 + (-1)/(-4). Let n be 9/4 + y/8. What is the third derivative of z**n + 2*z**2 - 3*z**3 + 0*z**3 + 0*z**2 wrt z? -18 Let r(s) = 2*s**2 - 10*s - 9. Let w(h) = -3*h**2 + 19*h + 17. Let l(d) = -5*r(d) - 3*w(d). Let z be l(-5). Find the first derivative of 5 - 4*g + g - z wrt g. -3 Let t(c) = -3*c**4 - c**3 + c**2 + 2*c. Let k(q) = -q**3 + q**2. Let v = -5 + 4. Let w(o) = v*k(o) + t(o). Find the second derivative of w(y) wrt y. -36*y**2 Suppose o - 4*o = 6. Let n be o + 0 + 4 + 0. What is the third derivative of -2*t**n + 0*t**4 + 4*t**4 + 4*t**2 wrt t? 96*t Let f = 48 - 48. Let z(s) be the third derivative of 0 + 1/60*s**5 + 0*s**4 + f*s + 0*s**3 - 1/40*s**6 + 3*s**2. What is the third derivative of z(l) wrt l? -18 Let d = 2 - -1. Suppose 3*l = 2*l + 2. Find the first derivative of -1 + d*i**2 - 1 - i**l wrt i. 4*i Let u be (-3 - (-3)/(-3))/(-2). What is the derivative of -8*d**2 + 2 + d**4 + 8*d**u wrt d? 4*d**3 Let a(u) be the first derivative of -u**3/2 - u**2 + u - 2. Let l(d) be the first derivative of a(d). What is the first derivative of l(k) wrt k? -3 Differentiate -6*m**2 - 4 + 4 - 2 + 0*m**2 wrt m. -12*m Find the third derivative of 3*x**2 + 0*x**4 - 16*x**6 + 0*x**4 + 9*x**6 wrt x. -840*x**3 Let y(h) be the second derivative of -11*h**5/5 - 8*h**4/3 + 44*h. What is the third derivative of y(a) wrt a? -264 Let d(r) = 104*r**2 + 32*r + 104. Let y(k) = -16*k**2 - 5*k - 16. Let a(i) = -5*d(i) - 32*y(i). Differentiate a(x) wrt x. -16*x Let n(b) be the second derivative of -7*b**6/15 - 11*b**2 - 32*b. Differentiate n(q) wrt q. -56*q**3 Let f(t) = -t - 6. Let j be f(-11). Find the third derivative of 4*u**5 - u**2 - u**5 - u**j + 0*u**5 wrt u. 120*u**2 What is the derivative of 2*q - 4*q + 2*q + 6 + 6*q**3 wrt q? 18*q**2 Let b(n) be the third derivative of -n**2 + 0*n**5 + 2/105*n**7 + 0*n**6 + 1/2*n**3 + 0*n**4 + 0 + 0*n. Differentiate b(l) wrt l. 16*l**3 Find the second derivative of 11*v + v**5 - 73 + 73 + 4*v**2 wrt v. 20*v**3 + 8 Find the second derivative of q**2 + 5*q**4 + 9*q + 0*q**2 - q**2 wrt q. 60*q**2 Suppose 6*l - l = 10. Let t(v) be the third derivative of 4*v**l - 1/60*v**6 + 0*v**4 + 0*v - 1/60*v**5 + 0*v**3 + 0. Find the third derivative of t(f) wrt f. -12 Let b(i) be the second derivative of -25*i**4/6 + 5*i**3/6 + i**2/2 + 37*i. Find the second derivative of b(j) wrt j. -100 Let z(s) = 11*s + 5. Let w(y) = 5*y + 2. Let a = -21 + 12. Let n = 11 - 7. Let d(h) = a*w(h) + n*z(h). Find the first derivative of d(l) wrt l. -1 Suppose -4*d + 4 + 12 = 0. Find the first derivative of -2*l**4 + 2 - l**4 + 3*l**4 + 3*l**d wrt l. 12*l**3 Let z(w) = 2*w**2 - 12*w - 9. Let d(l) = 3*l**2 - 13*l - 10. Let p(h) = -3*d(h) + 4*z(h). Let q be p(-8). Differentiate 0 - 2*u**q - 1 - 1 with respect to u. -4*u What is the derivative of 5*h - 7*h - 3 + 2*h + h**4 wrt h? 4*h**3 Let v(l) = 9*l**4 - 7*l**3 - 7*l - 70. Let k(z) = -3*z**4 + 2*z**3 + 2*z + 23. Let j(w) = 7*k(w) + 2*v(w). Differentiate j(y) with respect to y. -12*y**3 Let b(h) be the third derivative of -1/30*h**5 + 0*h**4 + 0 + 1/2*h**3 + 0*h - h**2. What is the derivative of b(n) wrt n? -4*n Let w(z) = -4*z**2 + 11. Let m(n) = -3*n**2 + 14. Let q(x) = 1. Let d(h) = m(h) - 4*q(h). Let p(o) = -5*d(o) + 4*w(o). Find the first derivative of p(c) wrt c. -2*c Let j(p) = -p + 3. Suppose 0*u + 2*u - 6 = 0. Let y be j(u). Find the third derivative of 4*k**6 + 3*k**2 - 4*k**2 + y*k**2 - 6*k**6 wrt k. -240*k**3 Let p(d) = d + 10. Let u be p(-10). Differentiate 2*f + 6 + u - 2 wrt f. 2 Let a(u) be the first derivative of 4 + 0*u**3 - 1/2*u**4 + 0*u**2 + u. Differentiate a(q) with respect to q. -6*q**2 Let k(d) be the third derivative of -11*d**6/40 + 13*d**5/60 - 28*d**2. What is the third derivative of k(a) wrt a? -198 Let o(a) be the first derivative of -3*a**8/56 - 5*a**4/12 - 7*a + 4. Let c(y) be the first derivative of o(y). What is the third derivative of c(s) wrt s? -360*s**3 Let h = 1 + 2. What is the second derivative of 2*n + 8 + n - 8 + 2*n**h wrt n? 12*n Let m(k) = -13*k**2 - 13*k - 5. Let c(r) = -6*r**2 - 7*r - 3. Let w(z) = -5*c(z) + 3*m(z). What is the second derivative of w(l) wrt l? -18 Let u = 89/19740 + 4/329. Let x(p) be the third derivative of 0*p**4 + 0*p**5 + 0*p + u*p**6 + 0 + 2*p**2 - 1/6*p**3. What is the derivative of x(w) wrt w? 6*w**2 Let r = 3 - 2. Differentiate -4 - 2*w**2 + 4*w**2 + r + 2*w**2 wrt w. 8*w Let u(m) be the third derivative of -23*m**5/60 - 7*m**3/3 - 17*m**2. Find the first derivative of u(t) wrt t. -46*t Let o(r) be the first derivative of -2*r**6/15 + r**4/3 - 3*r + 1. Let k(x) be the first derivative of o(x). Find the third derivative of k(q) wrt q. -96*q Let k = -3 - -6. Suppose a + k = 5. Find the first derivative of i + a*i + 1 - 1 + 1 wrt i. 3 Let q(p) = 3*p + 7. Let u(n) = -4*n - 8. Let y = 4 - 2. Suppose -12 = -y*v + 4*v. Let z(s) = v*q(s) - 5*u(s). What is the first derivative of z(t) wrt t? 2 Let z be (2/4)/((-3)/(-18)). What is the second derivative of 3*o**3 - o + 5*o**3 - 2*o**3 - 4*o**z wrt o? 12*o Let c be 3/2 + (-1)/(-2). Suppose -3*z - 4*v = -17, 2*z + 3*v - 10 = v. Find the second derivative of 0*h**2 + z*h - 4*h - h**c wrt h. -2 Let h = -16 + 22. Find the third derivative of 4*w**3 - 9*w**2 + 5*w**2 - h*w**3 wrt w. -12 What is the third derivative of -f**3 - 18*f**2 + 45*f**2 + 7*f**3 wrt f? 36 Let p(u) be the second derivative of 0 + 0*u**2 + 1/2*u**3 + 1/6*u**4 - 3*u. Find the second derivative of p(d) wrt d. 4 Let f be (-3 - (-30)/9)/(-1)*-6. Let t(g) be the first derivative of 1/4*g**4 + 3 + 0*g + g**3 + 0*g**f. Find the third derivative of t(l) wrt l. 6 Find the second derivative of 2*k**5 - 2*k**5 + 3*k + k**5 + 0*k wrt k. 20*k**3 Let s(k) = k**3 - 6*k**2 - 5*k - 9. Let m be s(7). What is the second derivative of -4*g - 6*g - 3*g**2 + m*g + 0*g wrt g? -6 Suppose 4 = -2*v + 4*v. What is the first derivative of -1 + 2*a + 0*a + a**v - 2*a wrt a? 2*a Let z(n) be the first derivative of -12*n**5/5 - 11*n + 3. Find the first derivative of z(b) wrt b. -48*b**3 Let v(z) be the second derivative of 17*z**4/12 + z**3/6 + 11*z. Find the second derivative of v(t) wrt t. 34 Suppose -2*b - 2 + 1 = 5*n, -b + n = -3. Find the first derivative of -5*t**2 + b*t**3 + 5*t**2 + 3 wrt t. 6*t**2 Let c(s) = 6*s + 3. Let y be c(-3). Let f be y/(-4) + 6/(-8). Differentiate 0*o - 1 + 5*o - 4*o + f wrt o. 1 Find the third derivative of 25*d**2 + 8*d**3 + 12*d**2 - 11*d**3 + 2*d**6 - 3*d**6 wrt d. -120*d**3 - 18 What is the derivative of -6*j**2 + 13*j + 26 + 5*j**2 - 27*j - 31*j wrt j? -2*j - 45 Suppose -4*w - 3*p - 3 = -w, -w + p + 7 = 0. Suppose -2*x + x = -5, 3*d + 5*x = 43. Find the third derivative of -u**d + w*u**6 - u**2 - 3*u**6 + 5*u**6 wrt u. 480*u**3 Let y(c) be the second derivative of -13*c**7/21 + 15*c**3/2 + 31*c. What is the second derivative of y(o) wrt o? -520*o**3 Let j(p) be the first derivative of -2*p**6 + 29*p**2/2 + 21. What is the second derivative of j(x) wrt x? -240*x**3 Suppose -3*w + 5*w + 12 = 0. Let g(x) = -20*x + 15. Let f(k) = 7*k - 5. Let i(y) = w*g(y) - 17*f(y). What is the first derivative of i(m) wrt m? 1 What is
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 622 What is 673872 to the power of 1/2, to the nearest integer? 821 What is 6908742 to the power of 1/8, to the nearest integer? 7 What is the cube root of 12920740 to the nearest integer? 235 What is 496449 to the power of 1/5, to the nearest integer? 14 What is 1027550 to the power of 1/7, to the nearest integer? 7 What is 721975 to the power of 1/2, to the nearest integer? 850 What is 710136 to the power of 1/3, to the nearest integer? 89 What is 12706002 to the power of 1/2, to the nearest integer? 3565 What is the cube root of 8396678 to the nearest integer? 203 What is 3912634 to the power of 1/8, to the nearest integer? 7 What is 232771 to the power of 1/5, to the nearest integer? 12 What is 83345 to the power of 1/2, to the nearest integer? 289 What is the square root of 17797469 to the nearest integer? 4219 What is the square root of 3469806 to the nearest integer? 1863 What is the third root of 1959748 to the nearest integer? 125 What is 5804624 to the power of 1/2, to the nearest integer? 2409 What is 1003432 to the power of 1/10, to the nearest integer? 4 What is 449468 to the power of 1/2, to the nearest integer? 670 What is 2575286 to the power of 1/3, to the nearest integer? 137 What is the cube root of 63403 to the nearest integer? 40 What is 20507575 to the power of 1/3, to the nearest integer? 274 What is the tenth root of 9351788 to the nearest integer? 5 What is 1375047 to the power of 1/2, to the nearest integer? 1173 What is 4558440 to the power of 1/10, to the nearest integer? 5 What is the square root of 271227 to the nearest integer? 521 What is 4334266 to the power of 1/2, to the nearest integer? 2082 What is the tenth root of 704192 to the nearest integer? 4 What is 3530090 to the power of 1/8, to the nearest integer? 7 What is the third root of 1000341 to the nearest integer? 100 What is the square root of 1646407 to the nearest integer? 1283 What is the cube root of 3707171 to the nearest integer? 155 What is 4897674 to the power of 1/5, to the nearest integer? 22 What is 7948879 to the power of 1/8, to the nearest integer? 7 What is the seventh root of 847365 to the nearest integer? 7 What is the third root of 10277965 to the nearest integer? 217 What is 51561 to the power of 1/3, to the nearest integer? 37 What is the tenth root of 1174878 to the nearest integer? 4 What is 3574526 to the power of 1/2, to the nearest integer? 1891 What is the square root of 353249 to the nearest integer? 594 What is the sixth root of 635289 to the nearest integer? 9 What is 77007 to the power of 1/2, to the nearest integer? 278 What is the eighth root of 72537 to the nearest integer? 4 What is the ninth root of 112295 to the nearest integer? 4 What is 2515354 to the power of 1/2, to the nearest integer? 1586 What is the square root of 186522 to the nearest integer? 432 What is the fourth root of 217589 to the nearest integer? 22 What is the square root of 31424264 to the nearest integer? 5606 What is 1670642 to the power of 1/3, to the nearest integer? 119 What is the cube root of 433363 to the nearest integer? 76 What is the seventh root of 241365 to the nearest integer? 6 What is 32496 to the power of 1/3, to the nearest integer? 32 What is the square root of 9236851 to the nearest integer? 3039 What is 17399388 to the power of 1/3, to the nearest integer? 259 What is the fourth root of 2345806 to the nearest integer? 39 What is the cube root of 308456 to the nearest integer? 68 What is the square root of 2577871 to the nearest integer? 1606 What is 20597718 to the power of 1/2, to the nearest integer? 4538 What is 29928578 to the power of 1/5, to the nearest integer? 31 What is 9449469 to the power of 1/10, to the nearest integer? 5 What is 3785046 to the power of 1/2, to the nearest integer? 1946 What is 514636 to the power of 1/7, to the nearest integer? 7 What is the square root of 24566685 to the nearest integer? 4956 What is the third root of 744363 to the nearest integer? 91 What is 8305107 to the power of 1/6, to the nearest integer? 14 What is 852435 to the power of 1/2, to the nearest integer? 923 What is 18079463 to the power of 1/10, to the nearest integer? 5 What is 4211466 to the power of 1/2, to the nearest integer? 2052 What is the eighth root of 2723211 to the nearest integer? 6 What is the square root of 100595 to the nearest integer? 317 What is the fifth root of 9385053 to the nearest integer? 25 What is the fifth root of 15824701 to the nearest integer? 28 What is the square root of 2903586 to the nearest integer? 1704 What is the square root of 519603 to the nearest integer? 721 What is the third root of 293729 to the nearest integer? 66 What is the eighth root of 171688 to the nearest integer? 5 What is the square root of 3541655 to the nearest integer? 1882 What is the third root of 4044306 to the nearest integer? 159 What is the square root of 196402 to the nearest integer? 443 What is the cube root of 555838 to the nearest integer? 82 What is the ninth root of 581434 to the nearest integer? 4 What is 666138 to the power of 1/2, to the nearest integer? 816 What is the cube root of 463783 to the nearest integer? 77 What is the fifth root of 1227547 to the nearest integer? 17 What is the square root of 9135746 to the nearest integer? 3023 What is the square root of 1005180 to the nearest integer? 1003 What is the third root of 3547786 to the nearest integer? 153 What is the fifth root of 2545220 to the nearest integer? 19 What is the third root of 1474862 to the nearest integer? 114 What is the square root of 25214 to the nearest integer? 159 What is the square root of 426206 to the nearest integer? 653 What is the fourth root of 1076865 to the nearest integer? 32 What is the third root of 15452447 to the nearest integer? 249 What is 1335967 to the power of 1/4, to the nearest integer? 34 What is the seventh root of 82946 to the nearest integer? 5 What is 3838482 to the power of 1/9, to the nearest integer? 5 What is the tenth root of 51464 to the nearest integer? 3 What is 244362 to the power of 1/6, to the nearest integer? 8 What is 237417 to the power of 1/8, to the nearest integer? 5 What is the square root of 128671 to the nearest integer? 359 What is the seventh root of 20249164 to the nearest integer? 11 What is 120497 to the power of 1/4, to the nearest integer? 19 What is 2016144 to the power of 1/10, to the nearest integer? 4 What is the cube root of 2376856 to the nearest integer? 133 What is the cube root of 3069 to the nearest integer? 15 What is the eighth root of 468091 to the nearest integer? 5 What is the square root of 2227314 to the nearest integer? 1492 What is 3284844 to the power of 1/8, to the nearest integer? 7 What is the third root of 6311646 to the nearest integer? 185 What is the fifth root of 2679401 to the nearest integer? 19 What is the square root of 2897319 to the nearest integer? 1702 What is 5624487 to the power of 1/6, to the nearest integer? 13 What is the square root of 15112 to the nearest integer? 123 What is the third root of 19069 to the nearest integer? 27 What is the cube root of 3286924 to the nearest integer? 149 What is 1710026 to the power of 1/2, to the nearest integer? 1308 What is 161218 to the power of 1/10, to the nearest integer? 3 What is the square root of 330984 to the nearest integer? 575 What is the third root of 56414 to the nearest integer? 38 What is 433661 to the power of 1/3, to the nearest integer? 76 What is the eighth root of 13790401 to the nearest integer? 8 What is 824 to the power of 1/6, to the nearest integer? 3 What is 164041 to the power of 1/3, to the nearest integer? 55 What is the third root of 316354 to the nearest integer? 68 What is the square root of 261614 to the nearest integer? 511 What is the ninth root of 16630551 to the nearest integer? 6 What is the square root of 35440 to the nearest integer? 188 What is the cube root of 212205 to the nearest integer? 60 What is 469214 to the power of 1/2, to the nearest integer? 685 What is 2273716 to the power of 1/2, to the nearest integer? 1508 What is 59687 to the power of 1/10, to the nearest integer? 3 What is 345122 to the power of 1/3, to the nearest i
{ "pile_set_name": "DM Mathematics" }
of v and 58. 29 Let q be (1/(-4) + (-473)/(-132))*3. Let a = -16 - -26. What is the highest common divisor of q and a? 10 Let a = -2 - -4. Let m = -544 + 554. Calculate the greatest common factor of a and m. 2 Suppose -2*p = 5*o - 184, -o + 85 = p - 2*o. Suppose l = 4*h - 6*h + 26, -3*h = -3*l + p. Calculate the highest common divisor of l and 4. 4 Suppose -2*m - h + 168 = 0, -11*m + 4*h = -9*m - 168. Calculate the greatest common factor of m and 63. 21 Suppose 68*s - 3440 = 64*s. Calculate the greatest common divisor of s and 20. 20 Let c = 807 - 278. Suppose 3*g + c = -476. Let x = g + 615. What is the greatest common factor of 35 and x? 35 Suppose -4422 = -54*p + 21*p. Calculate the highest common factor of 3886 and p. 134 Let k = -429 - -480. What is the greatest common factor of k and 3? 3 Let w = 29 - 23. Let a be 3 - (4/(-6) + (-626)/w). What is the highest common divisor of a and 12? 12 Suppose -5*u - 3*q + q = -8, -3*u + q = -7. Calculate the greatest common factor of u and 2. 2 Let v = 25 - -11. Suppose -72 = -8*p + 4*p. Calculate the greatest common divisor of p and v. 18 Let g(t) = t + 16. Let h = -16 + 3. Let w be h + (-1 - (-4)/2). Let i be g(w). Calculate the greatest common factor of 8 and i. 4 Suppose 0 = 12*f - 14*f - 56. Let k be (3 - 1) + (-161)/f*4. Calculate the greatest common divisor of k and 5. 5 Let y = -65 - -130. Calculate the highest common divisor of y and 26. 13 Let i(v) = 49*v - 91. Let p be i(7). Calculate the greatest common factor of 588 and p. 84 Suppose -4*y + 9 + 11 = 0. Suppose y*u + 108 = 7*u. What is the highest common divisor of 18 and u? 18 Let l be (-15 + 14)*(-53 + (-2)/(-1)). Calculate the highest common divisor of l and 33. 3 Let r(z) = -2*z - 5. Let s be r(0). Let g be 10/s - 64*-2. Calculate the greatest common factor of g and 14. 14 Suppose c - 2*q - 4 = 0, -6*q + 2*q - 8 = 0. Suppose 3*j - 20 = t, -j + 15 = 3*j + t. Suppose c = j*b - 45 + 10. Calculate the highest common factor of 1 and b. 1 Suppose -54*n + 2340 = -41*n. What is the greatest common factor of 36 and n? 36 Let o be 5*(84/(-10))/3. Let c = 32 + o. What is the greatest common divisor of c and 126? 18 Suppose -5*k + 705 = -5*j, -2*k + 138 = -j - 146. What is the highest common divisor of k and 11? 11 Let w be ((-238)/(-5))/(5/25). Let a = -323 + 357. Calculate the highest common factor of a and w. 34 Let l = 509 + -499. Suppose -f + 12 = -j - 4*j, -3*f = -j + 6. Let h be 4/(-30)*j*l. What is the greatest common divisor of 10 and h? 2 Let r be (24/9)/((-10)/(-255)). What is the highest common divisor of 8 and r? 4 Suppose -2*x = 51*v - 53*v + 134, 0 = 5*v + 3*x - 335. Calculate the greatest common divisor of v and 536. 67 Let l be (-1278)/(-10) - -6 - 12/(-10). What is the greatest common factor of 285 and l? 15 Let u(f) = -f**3 - f**2 + 7*f + 3. Let l be u(-5). Let p be 515/11 - (-6)/33. Let i = l - p. What is the highest common divisor of i and 14? 7 Let q(f) = -f**3 + 5*f**2 - 4*f + 2. Let z be q(2). Let t be (-384)/(-28) - 4/(-14). Suppose 13*i - t*i = -18. Calculate the greatest common factor of z and i. 6 Let l = 18 + -10. Suppose 0 = 3*t - l - 31. Calculate the greatest common divisor of t and 26. 13 Let w be -9 + 3 - -8 - 926/(-2). What is the highest common divisor of w and 165? 15 Suppose 14*x - 25 = 9*x. Suppose h = x*s - 37, 0 = h - 5 + 2. Let k be (-1)/(-4) - (-54)/s. Calculate the highest common factor of 7 and k. 7 Let p = 160 + -98. What is the highest common factor of 62 and p? 62 Let l = 4 + -29. Let p = 29 + l. What is the greatest common divisor of p and 20? 4 Let l(g) = -319*g - 302. Let q be l(-1). Suppose j = 5*v - 421, -2*v + 5*j = 3*v - 405. What is the greatest common factor of q and v? 17 Suppose -3*l = 4 - 19. Let a(q) = -3 + 2 - l*q + 3 + 0*q. Let m be a(-5). Calculate the highest common divisor of 54 and m. 27 Suppose 200 = m - 286. Calculate the greatest common factor of m and 9. 9 Suppose z = v + 370, -13*z + v = -8*z - 1842. What is the greatest common divisor of z and 16? 16 Let s = -15 + 14. Let q(f) = 82*f**2 + f. Let m be q(s). What is the greatest common divisor of m and 54? 27 Let f(y) = 2*y**3 + 108*y**2 + 105*y - 24. Let i be f(-53). What is the greatest common factor of 2929 and i? 29 Let y(h) = 3*h**2 - h + 12. Let g be y(4). What is the highest common factor of 1736 and g? 56 Let a = -234 + 162. Let i = a + 45. Let c = i - -43. What is the greatest common divisor of c and 80? 16 Suppose 4*p = -7*d + 5*d + 1006, 3*d = -9. Calculate the highest common factor of 22 and p. 11 Suppose 2*h + h - 66 = 0. Let w(c) = -22*c + 572. Let d be w(22). What is the greatest common divisor of h and d? 22 Suppose -4*r + 182 = -9*r - 2*i, 4*r + 5*i + 149 = 0. Let j = -32 - r. What is the highest common factor of 12 and j? 4 Suppose 844 = 5*p - 2*x + 5*x, 0 = 3*p + 2*x - 506. Let m = 0 + p. Calculate the highest common divisor of 17 and m. 17 Let l be 18/30 - 402/(-30). Let h be 2 + 9 + (-6)/(-3). Let t be 1 - -1*h - 0. Calculate the greatest common divisor of l and t. 14 Suppose -8*v = -11 - 5. Suppose v*z + 145 = 3*z + 2*k, -3*z = -2*k - 467. Calculate the highest common divisor of 17 and z. 17 Let k be (-1 + (-51)/15)/(158/(-4345)). What is the highest common factor of k and 165? 11 Suppose -3*u - 6 + 18 = 0. Suppose 5*i + 1 = s + 12, -u*s - 8 = -2*i. Let l be i/12 + 287/6. Calculate the highest common divisor of l and 6. 6 Let z be -8 + (38 - 4) + (-5 - 0). Calculate the greatest common factor of z and 7. 7 Let u(a) = -12*a + 2. Let b be u(-4). Suppose j + 18 = b. Let f be (-6)/(-4)*j/3. Calculate the greatest common divisor of 8 and f. 8 Suppose 18 = f - 0*d + 2*d, 0 = 4*f + 5*d - 57. Suppose f*m - 5 = 3. Suppose -2*p = w - 173, -m - 2 = -w. What is the highest common divisor of p and 34? 17 Let k = 538 - -272. What is the highest common factor of k and 20? 10 Suppose -37 = -4*m + 5*s, s = -3*m - 0*m + 4. Suppose -2*f = -m*d, 3*f + 4*d = 2*f + 11. Calculate the greatest common divisor of f and 27. 3 Suppose 6*f = 5*f + 51. Suppose -o - f = -4*o. Calculate the greatest common divisor of 153 and o. 17 Let r = 21 - 2. Let a = -9 + r. Let g = -1 + 3. What is the greatest common factor of a and g? 2 Suppose 3317 + 2095 = 12*s. What is the highest common factor of s and 82? 41 Suppose 2*i + 252 = 5*i + 2*a, 3*a = 2*i - 181. What is the greatest common factor of 946 and i? 86 Suppose 0 = 4*m - 2*x - 78, -4*m - 41 + 134 = x. Let q = -18 + 20. Let g be q + (-2 - (3 - 5)). What is the greatest common factor of g and m? 2 Let y(f) = 17*f**3 - 2*f**2 + 4*f - 1. Let w be y(1). Let c = -35 + 62. Calculate the greatest common factor of c and w. 9 Suppose -10*f + 20 + 0 = 0. Let h be 2*5/(-10) + 8/f. What is the highest common factor of h and 9? 3 Let m = -2 + 8. Suppose -l + m*l = 50. Calculate the greatest common factor of 10 and l. 10 Let t(q) = 5*q**3 + 0*q - 7*q**3 - 5*q**3 - 2*q. Let a be t(-2). Suppose 5*c - 5 = 2*j + 15, 2*c = 2*j + 2. What is the greatest common factor of c and a? 6 Let d(r) = -r**3 - 29*r**2 + 12. Let f be d(-29). Let a(p) = -94*p + 2. Let j be a(-1). Calculate the greatest common divisor of j and f. 12 Let k(q) = 11*q + 2*q**2 - 2*q - q**2 - 15 - 2*q**2. Let g be k(5). Calculate the greatest common divisor of 5 and g. 5 Let q(l) = -l**2 + 6*l + 8. Let k be q(6). Let z be 5 + (8 - 1)/(-1). Let v = z + k. Calculate the highest common divisor of v and 15. 3 Let d be (-6)/(-12)*2554 - (-4 - -1). Suppose 0 = 5*r + 2*c - d + 12, 3*r + 4*c - 772 = 0. What is the highest common divisor of r and 9? 9 Let c = 147 - 169. Let k be ((-209)/c)/(2/80). Calculate the greatest common divisor of 38 and k. 38 Let r = -92 - -116. Let x = 57 - -3. What is the greatest common factor of r and x? 12 Suppose -2938 - 307 = -5*a. What is the highest common factor of 33 and a? 11 Suppose -41*z + 39*z = -1002. Suppose -5*j - 2*k + 854 = 0, 3*j + 5*k = -0*j + z. Calculate the greatest common factor of 43 and j. 43 Let t(p) = 9*p + 67. Let h be t(2). Calculate the highest common divisor of h and 119. 17 Let n be 30*1*2/5. Let s(o) = o**3 - o**2 - o + 1. Let v = -55 + 60. Let m be s(v). Calculate the highest common divisor of n and m. 12 Let k(d) = d - 1. Let b be k(4). Let l be (-72)/(-16) - 1/2. Suppose l*w - b*f - 37
{ "pile_set_name": "DM Mathematics" }
-176485)/1880 + 95)/((-66)/8)? -3/22 Calculate 475/10*(-20)/(-75)*(-20 - (-731)/34). 19 Evaluate (-40)/(-12)*(-2385)/(-2650)*(-1)/53. -3/53 What is the value of 2*((147 - 144)/((-3)/(-4)) - 114/4)? -49 Calculate (-7)/((-4312)/3101) + (-24)/52 + (-770)/(-2288). 54/11 (8/(-16)*(2 - -1))/(33*(-14)/(-6776)) -22 What is (-3)/16*9372/(-297) + (-7)/(-102 - -18)? 6 What is (80/(-30))/(14/21) - (-10 + 568/100)? 8/25 ((-6)/(-18)*-2)/(14/378*13) -18/13 Evaluate (100548/(-630) - -147)*(8/(-4) + 7). -63 Calculate (-24)/(-72) - 700/(-42). 17 What is the value of (-18)/(-1200)*(-1730)/(-519)? 1/20 What is (58 + (-1)/(-1))*184*81/14904? 59 What is the value of ((-5)/(-3))/(570/(-12996))? -38 What is the value of (-65 - (-1560)/26) + 7? 2 What is the value of 16*31/(-1736) - 45/(-133)? 1/19 (-48178)/3052 - 2*-8 3/14 What is the value of -1*20*((-39)/(-27))/13 + 16/72? -2 What is the value of 300 + -311 - (1/(-7))/((-4)/(-292))? -4/7 Calculate (-27)/(-3) + -22 - 2/19*3568/(-32). -24/19 Evaluate ((-36)/(-66))/((-61425)/12870). -4/35 -8 + 269 - 265 - (-141 - 0) 137 (-2 + 1)/(56240/(-15808) - (-8)/26) 4/13 Calculate (-170)/2 - -167 - 56. 26 Calculate -20 - (((-111720)/(-483))/(-40) + (-10 - 4)). -5/23 Calculate 63/(-2)*(40 + -2 - (-137454)/(-3627)). -42/13 (4/(-8) - 2)*(-4)/(-15) + (-3256)/66 -50 What is 209/(-11) + 8 + (1125/55 - 8*1)? 16/11 Evaluate 1473171/27258 + (-108)/2. 1/22 10*(-7)/7875*45 -2/5 Evaluate (216/(-20))/(12/30) - -4 - (31 + -28). -26 What is the value of (504/5940)/7*-3? -2/55 What is (-219)/(-292) + (324/24 - 13)? 5/4 (-2)/(-118) + -4 + ((-52)/10)/(416/(-320)) 1/59 What is (-32 - (-799)/34)*(-3 + 5)? -17 (132/1386 + 12/21)*(-36)/(-138) 4/23 What is the value of 78 + (-34237)/438 + (-3)/18? -1/3 Evaluate ((-24)/44)/((-8)/3*(-864)/(-12672)). 3 What is the value of (-525)/(-280)*(-576)/90? -12 What is 144/40*(-145)/(-58)? 9 237881/(-24395) - (-62)/(-1271) -49/5 What is (-4)/46*(-2667)/(-1778)? -3/23 What is 566/(-176) + 2 + (-29)/(4785/150)? -17/8 What is the value of 2 + (33 - (-1854)/(-36)) + 19? 5/2 1 + (-367)/(-5) + -5 + 21/35 70 What is the value of 1*(-24 + 6) - (-8800)/528? -4/3 What is the value of ((-4)/(-6))/(-40 - 107818/(-2697))? -29 Evaluate (-20)/(-6750)*27 - (230/(-250) - -9). -8 Calculate 2167/(-605) + (-2933)/(-2095). -24/11 Evaluate -219*(-1345)/807*((-96)/(-20) + -5). -73 Calculate ((-5 - 1/(-2)) + 0)*(-200)/72. 25/2 Evaluate 21/(-14)*(6/18)/(9/(-45)). 5/2 Evaluate 2/(-8)*(11 - 8/((-264)/(-605))). 11/6 Calculate (8/(-12))/((-40)/(-258)) + ((-12)/5)/(-3). -7/2 What is (1/3)/(-6 + 4*(-106)/(-96))? -4/19 What is ((54/6)/(-18))/(2/(-108)) + (-1944)/(-216)? 36 What is 1 + 5/(-7) - (1985/25)/((-903)/645)? 57 (3/(-3))/((-862)/(-5172)) -6 What is (28 - (-1)/3*134520/(-1520))*4/723? -2/241 Calculate (-234)/390*(10/(-3))/(1196/(-138)). -3/13 Calculate (174/(-12) - -9)*(1 - 3) - 15120/1296. -2/3 113 + 101600/(-900) - ((-77)/(-45) + -1) -3/5 What is the value of (-38)/(-870) + ((-50986)/(-1110) - 46)? -2/87 Calculate ((-34)/(-102))/(66/4554). 23 Calculate (2/(-12)*22)/((-105)/(-441)). -77/5 What is the value of (-2810)/74 + 1083/(-40071)? -38 What is the value of -81 + 35 - (-14 + 13 - 14)? -31 32/(-12)*(6 - 3434/544) 5/6 What is the value of ((-445)/(-8) - (-1)/(-8))/(28/(532/(-57)))? -37/2 Evaluate (16/(-132))/(-25*12/(-33975)) - -14. 3/11 What is the value of ((2/4)/1)/((-2)/(-4))*(72 + -96)? -24 Calculate (14/(-5))/(-7) - -135*(-168)/200. -113 What is (133/(-38))/((216/(-243))/4)? 63/4 Calculate (-9)/60*3/((-4387)/(-164) + -27). 9/5 What is (-2591)/(-10364)*(-144)/(-10)? 18/5 What is the value of ((1408/(-48))/(-44)*(-9)/2)/((-10)/6)? 9/5 1079/(-65) - (-29 + 14) -8/5 What is ((-447)/(-1937) + 126/(-39))/(2/34)? -51 Calculate 10/((-18920)/99)*(-1144)/429. 6/43 Calculate -11*(33/44)/((-99)/120). 10 Calculate (-20)/78 + (1136/(-426))/(7 + -5 - -2). -12/13 (460/(-60) - -11)*(-51)/17 -10 What is (-27)/(5 - 2)*(2/(-18))/((-6)/(-342))? 57 Calculate -138 - -40 - 101880/(-1040). -1/26 Evaluate -26 + 3 - ((-209 - -123) + 117). -54 What is (-544)/176 + 3 + (33/(-1089))/(2/1578)? -24 Evaluate ((-8)/20)/(-102 + 205080/2010). -67/5 (-1782)/45 - (46 - 86) 2/5 What is the value of 0 + -16 + 24 - (-2430)/(-285)? -10/19 What is (10070/3180)/((-874)/207)? -3/4 Evaluate -2 + -8 + 1 - 480255/(-53025). 2/35 Evaluate -94 + 282373/3003 - (-188)/330. 3/5 What is the value of (0 - (0 - 14/287))*(-308 + 309)? 2/41 Calculate (-1212)/28280*(-847)/(-33). -11/10 10 - (-25)/((-4950)/(-216))*-3*(-11)/(-2) -8 What is ((-9)/(-2) - 5)/((-3)/(11 - 17))*-62? 62 (-4 + (-870)/(-225))*((-38)/(-4) - 5)/4 -3/20 What is the value of 2/(-8) - (62156/656 - 51)? -44 Evaluate (-52500)/(-3675) - (-5 + 15). 30/7 (16/(-265))/((-7528)/4705) 2/53 Evaluate (((-18)/(-2))/((-1029)/6517))/((-6)/(-4)). -38 Evaluate 20/(-6)*((-190)/25 - (-83 + 97)). 72 What is the value of (84/(-112))/(((-276)/(-208))/(-23))? 13 -35 + (33 - 23) + 39 14 What is the value of (-349470)/3630 + (-1786)/(-19)? -25/11 Evaluate (1/(-3)*-17 - 4/6)/((-933570)/(-5412)). 2/69 Evaluate -20 + -17 + 942/26. -10/13 What is the value of ((1620/(-80))/(-81))/(-6*(-37)/144)? 6/37 What is (-270772)/(-762642) - (-6)/(-29)? 4/27 Calculate (-36)/(-1518)*5819/3795. 2/55 Evaluate 187860/(-109585) + ((-3894)/(-1071) - 2). -4/51 What is 49324/1232 + 34 + -74? 1/28 (1036/(-28) - -43)/(3 + (-60)/32) 16/3 Calculate ((-12)/8)/(21/42)*(-2376)/81. 88 Calculate 13 - (-25)/(100/(-53)). -1/4 What is the value of (-39 + 5096/84)*(48/20 - 3)? -13 Evaluate 77871/4545 - 18/45*((-24)/9 - -3). 17 -41 - (127639/(-5855) + (-12)/(-15)) -20 What is the value of 6/(-70)*-145*(-2171)/4843? -39/7 What is (-60435)/(-14220) + (1 - 303/60) + (-366)/80? -35/8 Evaluate ((-835)/(-10) + -13)/(14/(-56)*6). -47 What is the value of 16537250/(-598125) - 166/(-6)? 1/55 Evaluate 41 + (((-825)/550)/((-1)/(-14)) - -15). 35 What is (-1 + 2 + 0)*(-30 + 25) - (-1972)/391? 1/23 882/(-1078)*451/8610 -3/70 (-2)/(-2)*-77 - (-98 - 9975/(-133)) -54 (((-520)/90)/13 - 28/18) + (-1540)/(-84) 49/3 ((-19)/209)/(420/1680) -4/11 Calculate 19 - (2975/(-748) - -23). -1/44 4/312 - 4381869/35334 -124 What is (-211)/(-45) + 141/(-710640)*112? 14/3 Calculate (-128)/(-16) + -15 + (1820/202 + 3 - 5). 1/101 Calculate (248/2728)/((-27)/33). -1/9 Evaluate -20 + 3 + (-16240)/(-280). 41 What is the value of (89/(-10) - (-10)/25)/(68/((-952)/(-7)))? -17 What is (-113 + 76 - -26)*(-4)/(-22)? -2 32*(-1058)/2760 + 12 -4/15 What is (-4)/((-40)/99) - 72/(-216)*3/10? 10 What is the value of (20/144)/(1222/(-78) + 16)? 5/12 Evaluate (1913 - 2001) + -3 + 101. 10 Calculate -45 + (54 - 60)*(-1)/3*1 + -8. -51 Calculate 304 + -254 + 140/(-12)*(-36)/30. 64 Calculate (-644)/10488*-19 - (-935)/6 - 15. 142 Calculate (-8177)/(-1443)*(1 - (-4 - -14)). -51 Evaluate (-768)/(-21120) - (5 + 13359/(-165)). 76 Evaluate (2200/154)/(-25)*(-329)/170 + 2/(-5). 12/17 What is the value of 212/8 - (-17 - -41) - (-2 + -7)? 23/2 Evaluate -5 - -11 - 31 - 2712957/(-108498). 1/214 What is (((-57)/(-38))/((135/12)/9))/((-117)/(-1755))? 18 Evaluate 2/126*(805/23)/(-35). -1/63 (-1518)/84 - (-190)/2660 -18 (119313/702 - 188) + (-3)/(-78) -18 94/(-14288)*(-228)/6 1/4 Evaluate 6*4/480 - (-589319)/(-9980). -59 ((-4288)/1290 + (-11370)/(-3411))*(-4 - -19) 6/43 Evaluate 434430/12872*(-36)/27. -45 Evaluate 15252/(-412) - (-46)/2369. -37 Evaluate (-68 + 1912/28)*39/3. 26/7 What is 4615/14200*18/39? 3/20 (-3)/38*-822 + 38/361 65 Evaluate 5*22/(-220)*(-124 + 18). 53 ((-27)/40)/(-32 - (-314)/10) 9/8 What is -4 - 1 - -1 - 459/(-204)? -7/4 What is (-3 + 20 - 68600/1950) + 12/(-78)? -55/3 What is the value of 612/(-16728)*(-13)/((-117)/24)? -4/41 (1 - 620/720)*-6 -5/6 What is (-44)/594 - 528/(-567) - 4462/5957? 4/37 What is (-6638)/(-248925)*((-54)/(-51))/6*(1 - 2)? -2/425 What is the value of (-3 - (-78)/14)/(11110/462 - 24)? 54 Evaluate ((-10)/5)/((-83)/(-581)). -14 What is the value of ((-415)/20*-7)/((-3318)/(-1896))? 83 What is the value of (-7139)/(-2596)*(-32)/(-2)? 44 What is the value of (1/(-9) + 0)/(75268/1476 + (-722 - -671))? 41/2 Calculate ((-4)/(-216)*-6)/(-29 - 117/(-4)). -4/9 What is 148*(-3)/45 - ((-1540)/28 + 45)? 2/15 What is (2070/(-92) + 22)/(-3 + 415/140)? 14 Evaluate ((-497)/142)/((-10)/(-60) - (-1)/3). -7 Calculate 280/(-47
{ "pile_set_name": "DM Mathematics" }
- 20*q**2 + 90*q - 10. Calculate n(5). 65 Let s(d) = 5*d**2 - 113*d + 442. Calculate s(4). 70 Let c(z) = 100*z**2 - 7*z - 13. Give c(-2). 401 Let c(i) = 12*i**3 + 528*i**2 - 4*i - 153. What is c(-44)? 23 Let l(m) = -26*m**3 - 3*m**2 + 2*m + 6. Give l(2). -210 Let m(h) = -260*h + 1305. What is m(5)? 5 Let w(h) = 4*h**2 - 80*h + 578. Give w(10). 178 Let y(i) = -3*i**2 - 66*i - 124. Give y(-20). -4 Let q(i) = -3*i**2 - 230*i - 883. Give q(-4). -11 Let t(x) = x**3 + 11*x**2 - 77*x + 77. What is t(4)? 9 Let h(j) = -j**3 - 17*j**2 - 88*j - 265. Determine h(-11). -23 Let r(n) = n**3 + 2*n**2 + 22*n - 60. Determine r(4). 124 Let n(c) = -494*c**2 - 8*c - 10. Calculate n(-1). -496 Let v(s) = -353*s - 282. Give v(-2). 424 Let b(h) = -5*h**3 - 2*h**2 + 21*h + 4. Calculate b(-5). 474 Let n(i) = 5*i**2 + 26*i - 1880. Give n(17). 7 Let v(c) = c**2 - 63*c + 326. What is v(6)? -16 Let f(q) = 5*q**3 - 229*q**2 - 46*q + 18. What is f(46)? 18 Let o(l) = -l**3 - 14*l**2 + 21*l + 274. Determine o(-14). -20 Let d(k) = -k**3 - 21*k**2 + 24*k + 63. Calculate d(-22). 19 Let u(r) = 372*r + 1838. Determine u(-5). -22 Let a(v) = -2*v**2 - 6*v + 3. Calculate a(5). -77 Let p(r) = 40*r**2 + 755*r + 603. Give p(-18). -27 Let k(l) = -l**3 - 7*l**2 + 5172*l + 46381. What is k(-9)? -5 Let v(n) = -1893*n - 98426. Give v(-52). 10 Let m(s) = -5*s**2 + 10*s - 26. Give m(8). -266 Let p(g) = -34*g**2 - 9920*g + 2329. Give p(-292). -7 Let x(w) = w**3 - 5*w**2 - 96*w + 24. Determine x(12). -120 Let w(a) = 24*a - 470. What is w(0)? -470 Let n(u) = -68*u + 2465. Give n(36). 17 Let w(s) = -334*s + 11002. Calculate w(33). -20 Let j(c) = c**2 - 21*c - 255. What is j(27)? -93 Let t(r) = 3*r**2 + 36*r - 136. Give t(-15). -1 Let w(m) = 271*m - 10313. Determine w(38). -15 Let m(w) = 15*w**2 - 908*w - 430. Give m(61). -3 Let s(d) = -70*d - 4246. Determine s(-61). 24 Let c(w) = -2231*w - 17854. Determine c(-8). -6 Let a(t) = 2*t**2 - 23*t - 59. Give a(14). 11 Let p(s) = 2*s**2 - 3*s + 7. Give p(1). 6 Let i(x) = -101*x**2 + 208*x - 9. Give i(2). 3 Let l(v) = v**3 + 13*v**2 - 8*v + 31. Determine l(-8). 415 Let f(h) = -h**2 - 66*h - 242. What is f(-4)? 6 Let k(l) = l**3 - 7*l**2 + 31*l - 40. What is k(9)? 401 Let v(l) = -9808*l - 29420. Calculate v(-3). 4 Let c(q) = 289*q + 7836. What is c(-27)? 33 Let i(t) = 16*t + 541. Give i(-41). -115 Let q(x) = -x**3 - 9*x**2 + 6*x - 29. Determine q(-10). 11 Let r(t) = 6*t**2 - 18*t + 32. Determine r(4). 56 Let h(t) = -11*t**3 + 4*t**2 - 23*t - 17. Give h(0). -17 Let i(p) = p**3 - 21*p**2 - 29*p + 160. Determine i(22). 6 Let u(m) = 895*m - 1005. Calculate u(1). -110 Let d(f) = 1385*f - 2783. What is d(2)? -13 Let f(l) = 5044*l - 85746. Calculate f(17). 2 Let s(n) = -433*n + 2143. Determine s(5). -22 Let c(y) = 32*y - 35. What is c(0)? -35 Let q(l) = l**2 - 25*l - 50. What is q(25)? -50 Let q(o) = -279*o - 278. Calculate q(-1). 1 Let i(v) = -9*v**3 + v**2 - 3*v + 1. Give i(1). -10 Let i(a) = -a**3 + 25*a**2 - 214*a + 47. Determine i(14). -793 Let u(r) = -r**3 + 110*r**2 + 2*r - 154. Calculate u(110). 66 Let p(x) = 4213*x + 29492. Calculate p(-7). 1 Let u(a) = -2*a**3 - 18*a**2 - 4*a - 5. Calculate u(-8). -101 Let p(i) = -389*i + 83651. Determine p(215). 16 Let h(u) = 4*u**2 + 29*u - 925. Calculate h(12). -1 Let t(r) = -20*r + 102. Calculate t(4). 22 Let m(s) = s**3 + 16*s**2 + 37*s - 21. Calculate m(-13). 5 Let d(r) = -r**2 - 550*r - 9070. Give d(-17). -9 Let l(n) = -n**2 - 17*n + 271. Calculate l(10). 1 Let u(h) = -61*h**2 + 27*h - 22. What is u(2)? -212 Let n(y) = -y**3 + 5*y**2 - 10*y + 128. Determine n(7). -40 Let v(d) = -2*d**3 + 78*d**2 + 4*d - 212. Give v(39). -56 Let i(d) = -2*d**3 - 42*d**2 - 91*d - 13. Calculate i(-2). 17 Let t(w) = 2*w**2 - 526*w + 7443. Calculate t(248). 3 Let y(p) = p**3 + 11*p**2 + 9*p - 2. Determine y(-10). 8 Let m(d) = -3*d**3 - 17*d**2 - 13*d - 15. Calculate m(-5). 0 Let l(h) = -96*h + 17982. What is l(187)? 30 Let a(v) = 36*v**3 - 394*v**2 - 7*v + 1. What is a(11)? 166 Let v(x) = -2*x**2 - 87*x + 1634. Give v(-57). 95 Let f(v) = -v**3 - 42*v**2 - 116*v + 42. What is f(-39)? 3 Let z(o) = 287*o - 30716. What is z(107)? -7 Let p(c) = -c**3 + 7*c**2 + 385*c - 3059. What is p(8)? -43 Let d(b) = -b**3 + 16*b**2 + 8*b - 3. Give d(0). -3 Let q(u) = -11*u**3 + 5*u**2 + 25*u + 36. Determine q(-2). 94 Let d(z) = -z**3 - 4*z**2 - 35*z - 259. Give d(-8). 277 Let c(k) = -2*k - 224. Determine c(9). -242 Let w(v) = -36*v**3 + 9*v**2 - v. Calculate w(1). -28 Let n(l) = l**2 + 10*l - 751. Calculate n(22). -47 Let u(q) = -q**3 - 45*q**2 + 49*q + 83. Determine u(-46). -55 Let n(v) = -16*v - 137. What is n(-9)? 7 Let n(q) = -128*q - 1956. Calculate n(-17). 220 Let s(u) = -u**3 - 14*u**2 + 78*u + 17. Calculate s(-18). -91 Let r(j) = -9*j + 261. Determine r(27). 18 Let a(n) = n - 28. What is a(51)? 23 Let j(g) = 163*g + 674. What is j(-4)? 22 Let w(z) = -z**3 + 16*z**2 + 61*z - 296. Give w(3). 4 Let n(p) = -5*p**2 - 19*p + 54. Determine n(-11). -342 Let z(h) = -h**3 - 27*h**2 + 97*h + 1131. Determine z(-29). 0 Let b(v) = -v**3 - 18*v**2 - 67*v - 581. Calculate b(-16). -21 Let f(n) = n**2 - 217*n - 432. Give f(-2). 6 Let w(q) = 51*q - 645. Determine w(9). -186 Let m(x) = x**2 - 162*x - 3251. Give m(-18). -11 Let s(t) = t**2 + 14*t - 109. Calculate s(-21). 38 Let h(q) = -q**2 - 5240*q - 20958. What is h(-4)? -14 Let h(w) = -7*w - 100. Give h(0). -100 Let l(g) = g**3 - 4*g**2 - 10*g - 8. Give l(7). 69 Let w(p) = -3*p + 67. Calculate w(25). -8 Let l(r) = -r**3 - 359*r**2 - 264*r + 33665. What is l(-358)? 13 Let o(g) = 28*g**3 + 4*g**2 - 8*g - 12. What is o(-3)? -708 Let w(p) = 113*p + 617. What is w(-12)? -739 Let a(w) = -w**3 - 107*w**2 + 105*w - 324. What is a(-108)? 0 Let h(b) = -65*b + 246. Determine h(2). 116 Let r(k) = -4*k**2 - 10*k + 20. What is r(2)? -16 Let i(u) = -1923*u - 17294. Give i(-9). 13 Let p(l) = 4*l**3 + 14*l**2 + 44*l + 3. Determine p(-3). -111 Let u(v) = v**2 - 25*v - 98. Determine u(28). -14 Let q(v) = -37*v**3 + 15*v**2 + 14*v - 2. Give q(-1). 36 Let i(q) = q**3 - 143*q**2 - 2*q + 298. Determine i(143). 12 Let d(w) = 3*w**3 - 12*w**2 - 8*w - 5. What is d(5)? 30 Let x(d) = -d**3 + 23*d**2 + 78*d + 24. Give x(26). 24 Let k(z) = 8*z**2 - 104*z + 4. Calculate k(0). 4 Let w(b) = b**2 + 11*b + 25. Give w(-2). 7 Let f(q) = 11*q**2 - 26*q + 150. Calculate f(6). 390 Let w(j) = -280*j - 11777. What is w(-42)? -17 Let y(s) = -13*s**2 - 6*s + 2. Give y(0). 2 Let d(o) = o**2 + 1087*o + 16076. Give d(-15). -4 Let b(u) = -20*u + 605. Give b(41). -215 Let o(c) = -c**3 - 10*c**2 - 12*c - 15. Calculate o(-8). -47 Let w(q) = -2*q**3 + 8*q**2 + 2*q - 32. Calculate w(2). -12 Let g(v) = v - 72. What is g(6)? -66 Let i(w) = -35*w + 272. Calculate i(5). 97 Let x(n) = -254*n + 1029. Calculate x(4). 13 Let z(j) = -32*j**2 + 4130*j - 251. What is z(129)? 7 Let d(u) = 6*u**2 - 24*u - 41. Calculate d(-2). 31 Let d(c) = -3*c**2 - 1111*c + 19353. Determine d(-387). 3 Let j(a) = 283*a - 3107. Determine j(11). 6 Let g(f) = 7*f + 125. Calculate g(-9). 62 Let j(c) = c**3 - 89*c**2 + 4*c - 322. Calculate j(89). 34 Let q(b) = 39*b + 893. What is q(-23)? -4 Let j(b) = 53*b + 3921. Determine j(-72). 105 Let t(c) = 2*c**3 - 318*c**2 - 2*c + 335. What is t(159)? 17 Let s(m) = 6*m**2 - 145*m + 852. Determine s(10). 2 Let a(n) = n**3 - 203*n**2 - 293*n - 23988. What is a(205)? -3 Let v(p) = -p**3 - 5*p**2 + 13*p - 1. What is v(2)? -3 Let w(a) = 16981*a + 67926. Calculate w(-4). 2 Let r(f) = f**3 - 20*f**2 + 33*f - 13. Calculate r(18). -67 Let i(v) = 7*v**2 + 392*v - 37. Give i(-56). -37 Let c(h) = h**2 - 16*h + 40. What is c(19)? 97 Let n(r) = -125*r - 1874. Calculate n(-15). 1 Let i(f) = -5*f**2 - 25*f + 112. Give i(-15). -638 Let i(y) = 45*y + 435. What is i(-19)? -420 Let c(n) = 968*n + 909. What is c(-1)? -59 Let x(k) = 774*k + 4650. Determine x(-6). 6 Let h(y) = -22*y - 129. Determine h(-9). 69 Let a(t) = t**3 - 12*t**2 + 5*t - 257. Calculate a(13). -23 Let l(s) = -s - 24. Calculate l(-12). -12 Let w(l) = 7*l**2 + 5*l - 135. What is w(-5)? 15 Let k(m) = 49*m + 392. Determine k(-6). 98 Let p(a) = -a**3 - 59*a**2 + 149*a + 1640. Determine p(-61). -7 Let z(m) = -3358*m - 40302. Give z(-12). -6 Let c(h) = 259*h + 7524. What is c(-29)? 13 Let w(o) = 3*o**2 + 54*o + 2
{ "pile_set_name": "DM Mathematics" }
)). 33*h Let d(r) = -r. Let s = 3 + -4. Let l(i) = 7*i**2 - 4*i. Let j(a) = s*l(a) + 4*d(a). Let b(x) = 29*x + 22*x - 83*x + 23*x. Give j(b(t)). -567*t**2 Let c(w) = -1461*w**2 - 1281*w**2 + 3041*w**2 - 1120*w**2. Let g(t) = 8*t**2. Determine g(c(j)). 5392328*j**4 Let z(v) = 2*v**2 + 58*v. Let j(r) = 3632*r - 1. Calculate z(j(a)). 26382848*a**2 + 196128*a - 56 Let g(c) be the third derivative of -c**4/12 + 400*c**2 - c. Let b(o) be the third derivative of o**5/60 + 9*o**2. Give b(g(f)). 4*f**2 Let l(a) = 19*a**2 - 12. Let v(b) = -3*b**2 + 2. Let r(g) = -l(g) - 6*v(g). Let q(s) = 531*s. Determine q(r(w)). -531*w**2 Let z(c) = -145519415*c**2. Let d(f) = -f**2. Calculate d(z(v)). -21175900141942225*v**4 Let q(g) be the second derivative of 0 + 0*g**2 + 65*g - 1/3*g**3. Let v(m) = -m**2 - 2. Calculate v(q(d)). -4*d**2 - 2 Let y(a) = a**2 - 15*a - 14. Let p be y(16). Let s be (-5 + p/(1 - 0))*-5. Let l(u) = -11*u - s*u + 29*u. Let k(b) = -3*b. Determine k(l(v)). -9*v Let h(y) = 37*y**2 + 259*y. Let l(s) = -247*s. What is l(h(d))? -9139*d**2 - 63973*d Let a(g) = -6*g**2. Let m(x) = -629*x + 333. Let z(t) = -6*t + 3. Let q(h) = -2*m(h) + 222*z(h). Determine a(q(c)). -32856*c**2 Let j(n) = -14*n**2 + 2. Let o(s) = -731578*s. Give o(j(x)). 10242092*x**2 - 1463156 Let h(g) = -119078*g + 2. Let j(i) = -32*i. Give h(j(c)). 3810496*c + 2 Let o(p) = -180*p. Let s(m) = -3*m. Let l(r) = -2*o(r) + 108*s(r). Let d(y) be the second derivative of y**4/4 - 76*y. Determine l(d(i)). 108*i**2 Let l(o) = 10075*o - 3. Let c(j) = -8*j. Determine l(c(m)). -80600*m - 3 Let w(r) = -r**2 - 10*r - 13. Let v be w(-8). Suppose -79 = -v*n - 10. Let c(x) = -44*x + n*x + 19*x. Let o(s) = 8*s**2. Calculate c(o(m)). -16*m**2 Suppose -7*i = -75 + 61. Let v(w) = 0*w - 558*w**2 - 2*w + 567*w**i + 2*w. Let d(u) = 10*u. Give v(d(o)). 900*o**2 Let b(c) be the second derivative of -c**4/4 + c. Let o(i) = -3*i + 47. Let w(y) = -7*y - 188. Let n(g) = -4*o(g) - w(g). Give n(b(z)). -57*z**2 Let m(s) be the third derivative of -7*s**5/60 - s**3/6 + s**2. Let y(o) = 11*o - 2. Let t(j) = 112*j - 20. Let x(r) = t(r) - 10*y(r). Give m(x(v)). -28*v**2 - 1 Let v(k) be the first derivative of -2 + 0*k**2 + 0*k - 1/3*k**3. Let w(i) = -98*i - 91*i + 288*i + 11*i**2 - 99*i. Give v(w(n)). -121*n**4 Let k(c) = c. Let a(d) be the second derivative of 17*d**4/4 + d**2/2 + 147*d - 17. Give k(a(t)). 51*t**2 + 1 Let i(t) = -874753*t. Let k(f) = -4*f. What is k(i(h))? 3499012*h Let q(p) = -11*p**2 - 142*p. Let v(x) = 4*x**2 + 48*x. Let m(k) = -6*q(k) - 17*v(k). Let u(i) = -8*i. Determine u(m(f)). 16*f**2 - 288*f Let h(z) be the third derivative of 63*z**5/20 - 3481*z**2. Let o(y) = -12*y**2. Calculate o(h(d)). -428652*d**4 Let g(l) = -20*l + 12. Let u(f) = -37*f + 22. Let d(c) = -11*g(c) + 6*u(c). Let k(o) = -3*o - 180. Determine k(d(v)). 6*v - 180 Let n(y) = y - 2. Let c(h) = 0*h - 4*h - 2*h + 8*h - 12 + 3*h. Let x(i) = -c(i) + 6*n(i). Let j(r) = -r**2 - 72. What is x(j(d))? -d**2 - 72 Let d(z) = z + 9. Let m(y) = -14*y - 90. Let s(a) = 20*d(a) + 2*m(a). Let n(o) be the third derivative of o**5/12 - 2*o**2. Give n(s(b)). 320*b**2 Let o(j) be the third derivative of -j**6/180 - 53*j**3/2 + 4*j**2 + 2. Let a(g) be the first derivative of o(g). Let m(x) = -8*x**2. Determine m(a(v)). -32*v**4 Let x(w) = -15*w**2 - 3. Let r(k) = k**2 + k**2 - 11 + 38 + 13 - 16. Give r(x(t)). 450*t**4 + 180*t**2 + 42 Let x(r) be the second derivative of r**4/12 - 5*r**3/3 - 101*r**2/2 - 1726*r. Let c(i) = i**2. What is x(c(k))? k**4 - 10*k**2 - 101 Let j(t) = 15*t + 8. Let s(q) = -737*q - 396. Let b(x) = -99*j(x) - 2*s(x). Let n(o) be the third derivative of o**4/3 + o**2 + 16*o. Calculate b(n(f)). -88*f Let b(h) = -10*h - 9*h + 40*h - 10*h - 13*h. Let r = -4 + 7. Let y(k) = 3*k + k + r*k. Determine b(y(p)). -14*p Let l(i) be the first derivative of 8*i**2 + i - 6084. Let q(r) = -6*r. Calculate l(q(m)). -96*m + 1 Let z(l) be the third derivative of l**4/4 + 13*l**2. Let i(g) = 142*g - 73*g - 76*g - 3 + 3. Calculate i(z(p)). -42*p Let d(i) be the third derivative of i**4/24 + 15*i**2. Let y(s) be the second derivative of s**3/3 + 47*s + 3. Determine y(d(a)). 2*a Let x(n) = -119230*n. Let b(h) = 7*h. What is x(b(m))? -834610*m Let k(t) = -4*t - 3 + 3. Let q(w) be the second derivative of -1 - 9*w - 3/2*w**3 + 0*w**2. What is k(q(y))? 36*y Let x(b) = -b - 13. Suppose -6*k + 5 = -109. Let u(i) = 20 - 39 + i**2 + k. Determine x(u(c)). -c**2 - 13 Let j be (3 - 1)/1*1. Let c(f) = -f**2 - 5*f**2 + f**j + 8*f**2. Let v(m) = -17*m**2 - 5. Let n(p) = -p**2 - 1. Let b(z) = 5*n(z) - v(z). Determine b(c(y)). 108*y**4 Let y(d) = 435*d + 4. Let a(o) = 1196*o + 11. Let b(x) = -4*a(x) + 11*y(x). Let g(z) be the first derivative of 0*z + 8/3*z**3 + 0*z**2 - 2. Give g(b(n)). 8*n**2 Let a(b) = b**3 - 15*b**2 - 15*b - 14. Let l be a(16). Let y(f) = -415 + 831 - 3*f**l - 416. Let t(p) = -3*p. Calculate y(t(d)). -27*d**2 Suppose 0*a - 44 = -5*a - 3*r, -a - 4*r = -19. Let f(z) = -a*z - 2*z + z + 9*z. Let y(b) = 45*b**2 - 2*b. What is y(f(t))? 45*t**2 - 2*t Let j(i) = 11*i**2. Let w(g) = 735698*g**2. Calculate w(j(v)). 89019458*v**4 Let a(h) = -h**2 + 95*h + 714. Let i be a(-7). Let j(q) be the second derivative of i + 1/6*q**3 - 6*q + 0*q**2. Let n(t) = -14*t. Calculate n(j(o)). -14*o Let d(t) = -t**2. Let k(p) = -191*p - 51. Let j(m) = 2*m - 17. Let w(a) = -15*j(a) + 5*k(a). Determine d(w(z)). -970225*z**2 Let g(q) = -2*q**2. Suppose -7 = v + 3*m + 5, v - 8 = m. Let r(o) = 3*o + 22 - 2*o - 2*o + v*o - 60. Calculate r(g(l)). -4*l**2 - 38 Let b(i) = 507*i + 3. Let x(j) = 60323*j + 358. Let v(s) = -358*b(s) + 3*x(s). Let c(w) = w. Determine v(c(m)). -537*m Let p(f) = -36*f**2 - 21*f. Let o(v) be the third derivative of 3*v**5/20 + 5*v**4/24 + 231*v**2. Let j(w) = -21*o(w) - 5*p(w). Let y(r) = 8*r**2. Give j(y(i)). -576*i**4 Let m(w) = 54*w + 5610. Let j(q) = 3*q**2. What is m(j(p))? 162*p**2 + 5610 Let g(n) = 3*n + 0*n - 5*n + 3*n. Let q(v) be the second derivative of -8/3*v**3 + 0 + 0*v**2 + 26*v. Give q(g(b)). -16*b Let r(x) = -67*x + 35. Let h(g) = -13*g**2 - 110*g + 3. Determine r(h(k)). 871*k**2 + 7370*k - 166 Let i(d) be the second derivative of -d**4/12 - 2*d + 2468. Let g(q) be the third derivative of -15*q**5/4 + 3*q**2. What is g(i(p))? -225*p**4 Let d(g) = -1148*g. Let x(i) = 131*i**2 - 270*i**2 + 137*i**2. What is d(x(u))? 2296*u**2 Let q(p) = 2*p. Let i(c) = -c**3 + 24*c**2 + 23*c + 56. Let k be i(25). Let a(m) = -k*m - 71704 + 71704. Calculate q(a(f)). -12*f Let m(w) = -53*w - 58. Let b(c) = -4*c - 4. Let s(k) = -87*b(k) + 6*m(k). Let z(a) = -98*a - 1. Give z(s(x)). -2940*x - 1 Let p(n) = 15917*n + 2. Let w(x) = -160*x. Determine p(w(o)). -2546720*o + 2 Let u(g) = -5*g**2. Let s(w) = -718*w + 239*w - 422*w**2 + 239*w + 240*w. Determine u(s(k)). -890420*k**4 Let g(a) = 93*a**2. Let v(c) be the first derivative of -c**2/2 - 4291. What is v(g(t))? -93*t**2 Let n(w) be the first derivative of 39*w**2/2 + 2634. Let k(q) = 84*q**2. Give k(n(l)). 127764*l**2 Let p(u) be the third derivative of -13*u**2 + 5/24*u**4 + 0*u**3 + 0 + 0*u. Let i(z) be the second derivative of z**4/6 + z. Give p(i(o)). 10*o**2 Let s(b) be the first derivative of 3*b**3 - b - 5821. Let t(h) = -h**2 - 18. Calculate t(s(n)). -81*n**4 + 18*n**2 - 19 Let o(r) = -9*r. Suppose 0 = -72*q + 76*q + 16. Let k(w) = 7*w. Let x(a) = q*o(a) - 5*k(a). Let i(t) = -121*t. Determine x(i(g)). -121*g Let b(d) = 3*d**2. Let a(f) = 0*f**2 + 165 - 12*f**2 - 164 - 15*f**2. Determine a(b(y)). -243*y**4 + 1 Let n(r) = 285*r**2 + 10272. Let j(t) = t. Calculate j(n(i)). 285*i**2 + 10272 Let j(c) = -127156*c + 127156*c - 1 - 765*c**2. Let i(g) = -3*g. Calculate j(i(o)). -6885*o**2 - 1 Let j(k) = -k. Let z(g) = 7*g**2 + g - 62903. What is z(j(s))? 7*s**2 - s - 62903 Let k(r) be the third derivative of -27*r**4/8 + 4*r**2 + 15*r. Let s(w) = -w**2 + 12*w + 14*w - 26*w + 3*w**2. What is s(k(a))? 13122*a**2 Let d be -8*(-3)/16 + 22/4. Let k(f) = f**2. Let c(p) = -4*p**2. Let t(g) = d*k(g) + 2*c(g). Let u(h) = -101*h**2. Determine u(t(i)). -101*i**4 Let w(q) = -18*q**2 - 12*q - 1. Let j(x) = -55*x**2 - 33*x - 2. Let c(a) = 4*j(a) - 11*w(a). Let i(f) = 11*f. Give i(c(h)). -242*h**2 + 33 Let n = 151 + -69.
{ "pile_set_name": "DM Mathematics" }
What is r rounded to the nearest integer? 10 Let z = -0.2 + 1.2. Let f = -107 + 107.89. Let m = f - z. Round m to 2 decimal places. -0.11 Let v = -6.985 - -7. Let l = -58.985 - v. Let s = -59.41 - l. Round s to 1 dp. -0.4 Let f = -17 - -32. Let g = f - 15.000038. Round g to five decimal places. -0.00004 Let x = -702.74 + 710. Let w = 5.9 - x. Let b = -0.4 - w. Round b to one dp. 1 Let s = -4.37 - -0.27. Round s to zero dps. -4 Let t = -10469759.8000109 - -10469743.8. Let c = t - -16. Round c to six decimal places. -0.000011 Let l(g) = -16075*g**2 + 9*g + 7. Let j be l(-9). Let w(p) = -53616*p**3 - 5*p**2 - 6*p + 6. Let b be w(5). Let h = b - j. Round h to the nearest 1000000. -5000000 Let i = -0.0593741 - -0.0594. Round i to five dps. 0.00003 Suppose 4*z - 6904 = -q + 3*q, 4*q + 3440 = 2*z. Let x = z - 5228. Round x to the nearest one thousand. -4000 Suppose -d + 28 - 529 = -t, -5*t + d + 2501 = 0. Round t to the nearest 1000. 1000 Suppose 3*o - 12 = -o. Suppose -4*c = -5*j - 115990, 3*c + j - 86996 = o*j. What is c rounded to the nearest ten thousand? 30000 Let l = 88.9943 - 89. What is l rounded to three decimal places? -0.006 Let a = 1310 - 1309.99998491. Round a to 6 dps. 0.000015 Suppose 6276 = -3*y + 3*k + 15975, -y + 2*k = -3234. Let j = -3089 + 5557. Suppose -3*u - j = y. Round u to the nearest 1000. -2000 Let b = 0.406 + -0.27. What is b rounded to two decimal places? 0.14 Let z = -553883 - -1043883. What is z rounded to the nearest one hundred thousand? 500000 Let p = 4 + -1. Let s = -26171 + 79312. Suppose -s - 33859 = p*t. Round t to the nearest ten thousand. -30000 Let i = 0.16 + -0.15977. Round i to 4 dps. 0.0002 Suppose 0 = 5*r - 735 - 4765. What is r rounded to the nearest one thousand? 1000 Let b = 2.2999834 - 2.3. What is b rounded to six dps? -0.000017 Let y be (-1950)/((-738)/(-240) - 1*3). Round y to the nearest 100000. 0 Let f = 5 - 4.9999964. What is f rounded to 6 dps? 0.000004 Suppose -4*q + 8 = 0, 0*q + 2*q - 40004 = 4*v. Suppose -3*n + n = 2*o - 2, 2*n = 2*o + 2. Let k be (v/n)/(3/(-450)). Round k to the nearest one million. 2000000 Let g = 10 - 23. Let s = g - -13.0000035. Round s to six decimal places. 0.000004 Let m = -0.1290059 - -0.129. What is m rounded to 6 decimal places? -0.000006 Let l = -0.03704724 - 63.96322276. Let p = l - -64. What is p rounded to 4 dps? -0.0003 Let v(j) = -6*j - 2. Suppose -7*y = -4*y. Suppose 0 = -3*n - y*n - 21. Let b be v(n). What is b rounded to the nearest 10? 40 Let f = 3.550989 - -26.4489958. Let p = 90 - 60. Let g = f - p. Round g to 6 dps. -0.000015 Suppose -3*w + 6 = 0, -4*h - w + 3*w + 2642124 = 0. Suppose -5*a + 3210532 = h. What is a rounded to the nearest one hundred thousand? 500000 Let j = 106.407 + -101.40695. Let q = j + -5. Round q to four decimal places. 0.0001 Suppose 226012 = 4*j + 3*o, -4*j + 2*o = 3*o - 226004. What is j rounded to the nearest 1000? 57000 Let o(m) = 2*m**2 - 11*m + 18. Let y be o(-9). Round y to the nearest 10. 280 Let i = 7.2 + -7.53. What is i rounded to one decimal place? -0.3 Let c = 2.95 + -2.950000636. Round c to 7 decimal places. -0.0000006 Let p = 59919525 + -59919513.00000034. Let t = p - 12. Round t to seven dps. -0.0000003 Let z = 52.9368 - 53. Round z to 2 decimal places. -0.06 Let u = 34.6 + 3.4. Let p = -7898454.00039 + 7898492. Let h = p - u. Round h to 4 decimal places. -0.0004 Let a(r) = 19*r - 9 + 3 + 0. Let u be a(-5). What is u rounded to the nearest ten? -100 Let x = 18 + -19.24. Let v = -1.2 - x. Round v to 2 decimal places. 0.04 Let g = 20 - 21.36. Round g to 1 dp. -1.4 Suppose 111004 = -3*n - t, -t - 185004 = 4*n + n. What is n rounded to the nearest 1000? -37000 Let m = -8 - -5. Let g = 10 + m. Let f = g - 6.99999986. What is f rounded to 7 decimal places? 0.0000001 Let v be (-1310)/(-1*4/40). What is v rounded to the nearest 1000? 13000 Let r = 129 - 86. Let v = 43.00000076 - r. Round v to seven decimal places. 0.0000008 Let y = -134151.83700038 - -134156.337. Let t = y + -4.5. What is t rounded to 7 decimal places? -0.0000004 Suppose 2*t = -0*t + 5*j + 27, -4*t + 36 = -4*j. Let z = -3 + t. Suppose -z*q - 51454 = -9454. Round q to the nearest ten thousand. -10000 Suppose 21 = 3*h - 3*z, 0*z = 2*h + 5*z. Suppose u + 8500005 = h*s - 0*u, -1699990 = -s - 2*u. What is s rounded to the nearest 1000000? 2000000 Let x(d) = -18*d**3 - 2*d**2 + 3*d + 2. Let q be x(4). What is q rounded to the nearest one hundred? -1200 Let t be 0 + 3/(-6)*0. Suppose f - 2*f + 940000 = t. What is f rounded to the nearest one hundred thousand? 900000 Let s = 36 + -36.011. Round s to two decimal places. -0.01 Let t = -270535.871 + 270257. Let a = t + 279. Round a to two dps. 0.13 Let y = 0.1 - -106.9. Let l = -18 + y. Let i = l + -88.9999959. Round i to six decimal places. 0.000004 Let y = -37.652262 - 1.34783. Let o = 39 + y. What is o rounded to 5 dps? -0.00009 Let m = 0.14 - 0.1308. What is m rounded to three decimal places? 0.009 Let l = 66.8 - 56. Let u = l - 10.79999941. What is u rounded to 7 decimal places? 0.0000006 Let j(p) = 2045497*p + 1. Let z be j(1). Suppose 2*f - 2247813 = 583183. Let u = f - z. What is u rounded to the nearest one hundred thousand? -600000 Let l = -7.6 - -8.22. What is l rounded to one decimal place? 0.6 Let m = 52 + -52.29. Let d = -0.3 - m. Let u = d - -0.0145. Round u to three dps. 0.005 Let y = -29.6 + 13.8. What is y rounded to 0 dps? -16 Let h = 180.722078 - 151.72201. Let m = 29 - h. What is m rounded to 5 decimal places? -0.00007 Let y = 4.3000023 - 4.3. Round y to 6 decimal places. 0.000002 Let n = 2.13000202 - 2.13. What is n rounded to 7 decimal places? 0.000002 Let i = 8.9 - 9. Let n = 0.10064 + i. What is n rounded to 4 dps? 0.0006 Let q = 132 + -132.000073. Round q to five decimal places. -0.00007 Let x = 1506893 - 841050. Let z(g) = 7033*g**2 + 3*g + 3. Let b be z(5). Let u = b - x. Round u to the nearest 100000. -500000 Let o = 0.441 + -1.356. Let u = o + 0.035. What is u rounded to 1 dp? -0.9 Let b(g) = 2499*g + 1. Let k be b(1). What is k rounded to the nearest one thousand? 3000 Let f be 10 - (4 - (-6)/(-3)). Suppose r + 92990 = -f*n + 3*n, -2*n = -4. Round r to the nearest ten thousand. -90000 Let b = 2775183 - 1645183. Suppose 0 = 4*l + 4 - 0. Let a be (0 - l)/((-1)/b). Round a to the nearest 100000. -1100000 Let n(r) = r**3 - r + 1. Let j(y) = -609*y**3 - 3*y**2 - 3*y + 1. Let h(c) = -j(c) + n(c). Let s be h(-4). What is s rounded to the nearest 10000? -40000 Let w = 34.3 + -8.1. Let f = 31 - w. Let q = f + -4.18. Round q to one decimal place. 0.6 Let o = -21.15253546 - -15.1525359. Let k = 6 + o. Round k to seven decimal places. 0.0000004 Let h be 1562277/(-2) - 2/4. Let o = -1321139 - h. Round o to the nearest one hundred thousand. -500000 Let d = -2389.29 - -2341. Let c = 48 + d. Round c to one decimal place. -0.3 Suppose -6*r = -r - 25. Let w = -8 + 23. Suppose -r*q - w = 5*l, 2*q + 15 = -4*l - l. What is l rounded to the nearest 10? 0 Let f(n) = 525001*n + 16 - 4 - 7 - 1. Let p be f(-4). What is p rounded to the nearest one hundred thousand? -2100000 Let y = -88841.3445 + 88890. Let p = y + -53.65. Let n = p - -5. What is n rounded to three dps? 0.006 Let o = -0.046 - -0.0459951. Round o to 6 dps. -0.000005 Suppose i - 4*y + 11 = 2*i, 4*i - 30 = -2*y. Round i to the nearest 10. 10 Let q = 4692.959992 - 4693. Let z = q - -0.04. What is z rounded to 6 decimal places? -0.000008 Let s(b) = 70*b**2 + 7. Let h be s(3). What is h rounded to the nearest one hundred? 600 Let s = 9.5 + -2. Let w = 2.5 + s. Let t = w + -9.99839. Round t to 4 dps. 0.0016 Let n = 8.078 - 8. What is n rounded to two dps? 0.08 Suppose -49800162 = -2*o - o. Let m = -7300054 + o. Round m to the nearest one million. 9000000 Let x(w) = w**3 + 3*w**2 + 7*w - 5. Let d(s) = -s - 3. Let n be d(-9). Suppose n + 4 = 2*a. Let o be x(a). What is o rounded to the nearest 100? 200 Let p be (-3)/9 - (-19394)/6. Suppose 992 = 2*l + p. Round l to the nearest 100. -1100 Let r = 30902475 - 19026625. Let n = r + -11875875.000055. Let i = -25 - n. Round i to five dps. 0.00006 Let b(m) = 7*m**2 + 9*m + 3. Let w be -22*2/(-8)*2. Let r be b(w). Let c = r - 1479. What is c rounded to the nearest one hundred? -500 Let a = -4.1 + 5. Let v =
{ "pile_set_name": "DM Mathematics" }
2 Calculate the remainder when 57147 is divided by 188. 183 What is the remainder when 23211 is divided by 893? 886 What is the remainder when 2723755 is divided by 1164? 1159 What is the remainder when 10377 is divided by 12? 9 Calculate the remainder when 9004876 is divided by 13. 10 What is the remainder when 2849 is divided by 204? 197 Calculate the remainder when 23615 is divided by 29. 9 What is the remainder when 165 is divided by 37? 17 What is the remainder when 2790 is divided by 2091? 699 What is the remainder when 6298 is divided by 1099? 803 Calculate the remainder when 13192 is divided by 12. 4 What is the remainder when 656518 is divided by 10? 8 What is the remainder when 163032 is divided by 45? 42 What is the remainder when 89789 is divided by 244? 241 Calculate the remainder when 2461634 is divided by 15. 14 What is the remainder when 597103 is divided by 126? 115 What is the remainder when 295779 is divided by 20? 19 What is the remainder when 2467 is divided by 64? 35 What is the remainder when 1214218 is divided by 236? 234 What is the remainder when 6775 is divided by 6131? 644 What is the remainder when 13197 is divided by 6571? 55 Calculate the remainder when 51184 is divided by 17058. 10 Calculate the remainder when 24394 is divided by 11984. 426 Calculate the remainder when 156155 is divided by 435. 425 What is the remainder when 17732 is divided by 770? 22 Calculate the remainder when 13889 is divided by 46. 43 Calculate the remainder when 562 is divided by 274. 14 What is the remainder when 30072 is divided by 813? 804 What is the remainder when 12818 is divided by 674? 12 What is the remainder when 3724 is divided by 496? 252 Calculate the remainder when 3173 is divided by 84. 65 Calculate the remainder when 1659 is divided by 15. 9 What is the remainder when 952 is divided by 371? 210 What is the remainder when 25252 is divided by 3097? 476 What is the remainder when 4512 is divided by 1115? 52 What is the remainder when 73489 is divided by 1289? 16 Calculate the remainder when 3788 is divided by 65. 18 What is the remainder when 14029 is divided by 741? 691 What is the remainder when 178199 is divided by 270? 269 What is the remainder when 14658 is divided by 341? 336 Calculate the remainder when 170138 is divided by 238. 206 What is the remainder when 132320 is divided by 33? 23 Calculate the remainder when 30313 is divided by 1590. 103 Calculate the remainder when 1935 is divided by 918. 99 Calculate the remainder when 5657 is divided by 806. 15 What is the remainder when 21429 is divided by 15? 9 Calculate the remainder when 19536 is divided by 849. 9 Calculate the remainder when 11916 is divided by 592. 76 What is the remainder when 1447119 is divided by 71? 68 Calculate the remainder when 7716564 is divided by 1889. 1888 What is the remainder when 45424 is divided by 164? 160 Calculate the remainder when 12052 is divided by 7. 5 Calculate the remainder when 10499 is divided by 103. 96 What is the remainder when 3331 is divided by 191? 84 Calculate the remainder when 292448 is divided by 32494. 2 Calculate the remainder when 10268 is divided by 1258. 204 What is the remainder when 2258 is divided by 587? 497 What is the remainder when 728 is divided by 68? 48 Calculate the remainder when 41550 is divided by 10385. 10 What is the remainder when 16799 is divided by 42? 41 What is the remainder when 38698 is divided by 12856? 130 Calculate the remainder when 29462 is divided by 160. 22 What is the remainder when 24292 is divided by 14? 2 What is the remainder when 83846 is divided by 11977? 7 What is the remainder when 293 is divided by 221? 72 Calculate the remainder when 5055 is divided by 88. 39 Calculate the remainder when 5292 is divided by 130. 92 What is the remainder when 9661 is divided by 9645? 16 Calculate the remainder when 27375 is divided by 13674. 27 Calculate the remainder when 289058 is divided by 596. 594 Calculate the remainder when 57821 is divided by 470. 11 Calculate the remainder when 220900 is divided by 14726. 10 Calculate the remainder when 434 is divided by 213. 8 What is the remainder when 6311 is divided by 3059? 193 Calculate the remainder when 76635 is divided by 1238. 1117 Calculate the remainder when 279791 is divided by 24. 23 Calculate the remainder when 12716 is divided by 1460. 1036 Calculate the remainder when 34207 is divided by 417. 13 What is the remainder when 202757 is divided by 33? 5 Calculate the remainder when 13388 is divided by 55. 23 Calculate the remainder when 9902 is divided by 143. 35 Calculate the remainder when 1208 is divided by 132. 20 Calculate the remainder when 103093 is divided by 51544. 5 Calculate the remainder when 1223 is divided by 792. 431 Calculate the remainder when 214312 is divided by 23. 21 Calculate the remainder when 5506 is divided by 56. 18 Calculate the remainder when 55331 is divided by 146. 143 What is the remainder when 20083 is divided by 72? 67 What is the remainder when 65215 is divided by 1420? 1315 What is the remainder when 356395 is divided by 78? 13 Calculate the remainder when 60581 is divided by 122. 69 Calculate the remainder when 149404 is divided by 42. 10 What is the remainder when 74687 is divided by 332? 319 Calculate the remainder when 292774 is divided by 175. 174 Calculate the remainder when 12769 is divided by 1109. 570 Calculate the remainder when 43191 is divided by 320. 311 Calculate the remainder when 976769 is divided by 10. 9 What is the remainder when 1827 is divided by 15? 12 What is the remainder when 16046 is divided by 14? 2 What is the remainder when 16465 is divided by 51? 43 Calculate the remainder when 130977 is divided by 143. 132 Calculate the remainder when 4474 is divided by 4381. 93 Calculate the remainder when 25 is divided by 7. 4 What is the remainder when 921491 is divided by 69? 65 Calculate the remainder when 579 is divided by 112. 19 What is the remainder when 1382651 is divided by 199? 198 Calculate the remainder when 407536 is divided by 1415. 16 What is the remainder when 6503 is divided by 304? 119 What is the remainder when 277485 is divided by 25? 10 Calculate the remainder when 111055 is divided by 4113. 4 What is the remainder when 30259 is divided by 344? 331 What is the remainder when 10631 is divided by 294? 47 Calculate the remainder when 30993 is divided by 443. 426 What is the remainder when 55679 is divided by 9266? 83 Calculate the remainder when 1186 is divided by 69. 13 What is the remainder when 88167 is divided by 44062? 43 Calculate the remainder when 39093 is divided by 2603. 48 What is the remainder when 1984902 is divided by 53? 52 What is the remainder when 362 is divided by 275? 87 Calculate the remainder when 1642 is divided by 35. 32 Calculate the remainder when 6748 is divided by 155. 83 Calculate the remainder when 126732 is divided by 905. 32 Calculate the remainder when 766 is divided by 140. 66 What is the remainder when 33600 is divided by 8398? 8 Calculate the remainder when 5196 is divided by 243. 93 Calculate the remainder when 30378 is divided by 53. 9 What is the remainder when 5486911 is divided by 32? 31 Calculate the remainder when 4296596 is divided by 35. 31 Calculate the remainder when 23145 is divided by 671. 331 What is the remainder when 27714 is divided by 100? 14 Calculate the remainder when 18216 is divided by 18156. 60 What is the remainder when 6869 is divided by 761? 20 What is the remainder when 5436 is divided by 160? 156 What is the remainder when 10064 is divided by 4383? 1298 What is the remainder when 5722 is divided by 87? 67 What is the remainder when 49112 is divided by 118? 24 What is the remainder when 125542 is divided by 878? 866 Calculate the remainder when 2740 is divided by 1305. 130 What is the remainder when 41337 is divided by 1656? 1593 What is the remainder when 45917 is divided by 17? 0 Calculate the remainder when 1231 is divided by 1151. 80 Calculate the remainder when 15762 is divided by 15761. 1 What is the remainder when 13380 is divided by 1673? 1669 What is the remainder when 1287311 is divided by 12? 11 Calculate the remainder when 23859 is divided by 7941. 36 Calculate the remainder when 24018 is
{ "pile_set_name": "DM Mathematics" }
Let j(q) = q**3 + q**2 - q + 1. Let c = 16 - 16. Suppose 8 = -4*f - 2*l - c*l, -9 = 5*f + 2*l. Let g(m) = m**3 + 4*m**2 - 2*m + 1. Calculate f*g(h) + 2*j(h). h**3 - 2*h**2 + 1 Let p(l) be the first derivative of -2*l**2 - 3*l + 7. Let z(i) = -1. Calculate p(j) - 2*z(j). -4*j - 1 Let g(f) be the third derivative of -f**4/24 + 3*f**2. Let d(c) = -3 + 1 + 6*c + 3 - 4*c. Calculate d(n) + 4*g(n). -2*n + 1 Let x(w) = 28*w**2 + 28. Let l(g) = -1. Determine -28*l(f) - x(f). -28*f**2 Let c(y) = -2*y**2 + 5*y + 6. Let z = 11 + -7. Let j(q) = -6*q**2 + 14*q + 17. Calculate z*j(a) - 11*c(a). -2*a**2 + a + 2 Let l(h) = -3*h**3 - 7*h - 7. Let w(q) = 2*q**3 + 6*q + 6. Calculate -6*l(g) - 7*w(g). 4*g**3 Let p(o) = -4*o**3 + 3*o + 5. Let r(y) = -5*y - 13. Let i be r(-2). Let c(q) = -3*q**3 + 2*q + 4. What is i*c(u) + 2*p(u)? u**3 - 2 Let i(s) = -s - 3 + 2 - 2. Let v(k) = 317 - 157 - 161. Give -2*i(f) + 7*v(f). 2*f - 1 Let z(l) = -l**3 + l. Let b(j) = j**3 - 2*j + 3. Calculate -b(w) - 2*z(w). w**3 - 3 Let v(r) = -4*r**2 - 5*r. Let a = -2 + 5. Let s(j) = 7*j**2 - j - 10*j**2 - a*j. Let d(f) = 2*f**2 - f - 1. Let y be d(2). Determine y*s(c) - 4*v(c). c**2 Let y(h) = -1. Let l(q) = q - 7. Determine l(b) - 5*y(b). b - 2 Let b(g) = g**2 - g + 1. Let z(u) = -16*u**3 - 3*u**2 + 3*u - 3. Determine -3*b(n) - z(n). 16*n**3 Let n(i) = -2*i - 15. Let u be n(-7). Let j(r) = r**2 - r - 1. Let s(f) = -2 - f**3 - 3 - 4*f**2 + 7. What is u*s(d) - 2*j(d)? d**3 + 2*d**2 + 2*d Let m(o) = 2*o**2 + 3*o - 4. Let c(i) = -2*i**2 - 4*i + 5. What is 4*c(a) + 5*m(a)? 2*a**2 - a Let q(j) = 69*j. Let x(h) = -23*h. Give -4*q(t) - 11*x(t). -23*t Let s(z) = z**3 + z**2 - z. Let d(p) = -4*p**3 - 2*p**2 + 3. Let l(y) = d(y) + 2*s(y). Let j(m) = 6*m**3 + 5*m - 8. What is 4*j(f) + 11*l(f)? 2*f**3 - 2*f + 1 Let a(k) = -2*k**2 + 42*k - 4*k**3 - 46*k + 2*k**3 + 4. Let h(z) = 2*z**3 + 2*z**2 + 5*z - 5. Determine 5*a(c) + 4*h(c). -2*c**3 - 2*c**2 Let v = -23 - -25. Let o be 36/(-28) + (-4)/(-14). Let p(z) = z**3 - z**2 - 1. Let b(h) = 3*h**3 - 3*h**2 - 2. Determine o*b(w) + v*p(w). -w**3 + w**2 Let z(w) = -80*w**3. Let f(g) = 16*g**3. Give 16*f(m) + 3*z(m). 16*m**3 Let p(g) = -g**3 - 5*g**2 + 11*g + 6. Let s(b) = 2*b**2 - 5*b - 3. What is 2*p(f) + 5*s(f)? -2*f**3 - 3*f - 3 Let i(a) = -a**3 - a. Let k(t) = 4*t**3 + 6*t. Calculate i(y) - k(y). -5*y**3 - 7*y Let q(d) = -4 + 2*d + 0 + 3 + 5. Let x(b) = -3*b - 5. Calculate 5*q(t) + 4*x(t). -2*t Let n(l) = -1. Let v = -13 + 14. Let p(b) = -2*b - 5. Calculate v*p(h) - 6*n(h). -2*h + 1 Let a(b) = -5*b**3 - 6*b - 6. Let f(y) = -y**3 - y - 1. Let j(n) = -n**2 + 14*n - 15. Let v be j(9). Calculate v*f(s) - 5*a(s). -5*s**3 Let g(p) = p**3 - 13*p + 5. Let x(c) = 60 + 6*c - 62 + 0*c. What is -2*g(z) - 5*x(z)? -2*z**3 - 4*z Suppose 8 + 0 = -2*p. Let v(r) = 2*r + 4. Let h(s) be the third derivative of s**4/24 + s**3/3 - 2*s**2. Suppose 2*l + 4 - 18 = 0. Determine l*h(c) + p*v(c). -c - 2 Let l(w) = 9*w**2 - 5*w. Let k(i) = 18*i**2 - 9*i. Give 5*k(d) - 9*l(d). 9*d**2 Let j(c) = 8*c - 3*c**2 + 4*c**2 + 5*c**2 - 1 + 7*c**3. Let z(d) = 15*d**3 + 13*d**2 + 17*d - 2. Let y be (6/(-4))/(1 - 3/4). Give y*z(a) + 13*j(a). a**3 + 2*a - 1 Let j(y) = 6*y + 5. Let c(v) = -12 - 5*v - 4 + 12 - v**2. Calculate -5*c(z) - 4*j(z). 5*z**2 + z Let b(u) = -5*u + 2. Let g(t) = 4*t - 2. What is 4*b(j) + 6*g(j)? 4*j - 4 Let q be (-4)/((-3 - 0) + 1). Let w(t) = 0*t + 2 + t + 3 + q*t. Let j(h) = 8*h + 14. Let c be (-202)/18 + (-4)/(-18). What is c*w(y) + 4*j(y)? -y + 1 Let f(q) = -5*q**2 + 5*q + 2. Let v(s) = s**3 + 6*s**2 - 6*s - 3. Calculate -3*f(w) - 2*v(w). -2*w**3 + 3*w**2 - 3*w Let i(w) = -8*w**3 - 5*w**2 - 2*w. Let x(q) = -q**3 - q**2. Give i(j) - 6*x(j). -2*j**3 + j**2 - 2*j Let k(w) = -6*w + 4. Let c(a) = -17*a + 12. Give -3*c(s) + 8*k(s). 3*s - 4 Let u(k) = 7*k**3 - 14*k**2 + 8*k + 2. Let p(w) = -2*w**3 + 5*w**2 - 3*w - 1. Calculate 8*p(l) + 3*u(l). 5*l**3 - 2*l**2 - 2 Let n(g) = -3*g**3 - 2*g**2 + 4*g + 3. Let d(z) be the third derivative of -z**6/60 - z**5/60 + z**4/8 + z**3/3 - 7*z**2. Determine -4*d(f) + 3*n(f). -f**3 - 2*f**2 + 1 Let l = 6 - 0. Let v(f) = -3*f + 4. Let h(o) = -4*o + 5. Let r be 56/(-12) + 2/(-6). What is l*v(p) + r*h(p)? 2*p - 1 Let q(z) be the second derivative of -z**4/12 - z**3/6 + 8*z. Let r(i) = 3 - 1 + 2*i**3 - 3*i**3 - 2*i**2. Give 2*q(f) - r(f). f**3 - 2*f - 2 Let b(k) = -5*k**2 - 7*k - 6. Let j(w) = -9*w**2 - 13*w - 11. Suppose 38 = 9*l - 16. Calculate l*j(i) - 11*b(i). i**2 - i Let t(a) = a**2 + 2*a + 3. Let h(i) = 2*i**2 + 4*i + 7. Let x = -26 + 21. Determine x*t(s) + 2*h(s). -s**2 - 2*s - 1 Let b(j) = 9*j - 5. Let v(c) = -10 + 2 - 4 + 4 + 14*c. Determine 8*b(q) - 5*v(q). 2*q Let k(r) = 16*r**2 - 10*r. Let w(f) = f. Calculate 3*k(z) + 30*w(z). 48*z**2 Suppose 7 = -5*x - 23. Let v(o) = 7*o + 4. Let q(g) = 6*g + 3. What is x*q(s) + 5*v(s)? -s + 2 Suppose 2*n + 10 = 4*n. Let b(r) be the first derivative of 2*r**2 + r + 101. Let x(s) = 3*s + 1. Calculate n*b(z) - 6*x(z). 2*z - 1 Let n(z) = -8*z - 5. Let r(y) be the third derivative of 1/24*y**4 - 6*y**2 + 1/6*y**3 + 0*y + 0. Give -n(a) - 5*r(a). 3*a Suppose 3*k = 2*w - 1, -3*k + 6*k - 19 = -2*w. Let b(n) = 2. Let l(t) be the second derivative of t**3/6 - 2*t**2 - t. Determine w*b(o) + 2*l(o). 2*o + 2 Let z(v) = -11*v + 11. Let y = 4 + -2. Let x(m) = -5*m + y*m - m + 4. Give -17*x(s) + 6*z(s). 2*s - 2 Let m be ((-7)/(-4) - 1)*4. Suppose -m*x + 5*i = x + 38, 3*x + 11 = -5*i. Let g(q) = 5*q**2 - 3. Let c(z) = -3*z**2 + 2. Give x*c(v) - 4*g(v). v**2 - 2 Let h(z) = -5*z**3 + 7. Let l be 46*(-5 - -2)/(-6). Let o = l + -16. Let a(x) = 3*x**3 - 4. What is o*a(t) + 4*h(t)? t**3 Let k(s) = -s**2 + s - 1. Let z(d) = -4*d**2 + 2*d - 3. Let b = 107 + -72. Suppose -5 = 5*l - b. Calculate l*k(h) - 2*z(h). 2*h**2 + 2*h Let o(b) = -b**2 - 1. Suppose j = 4*l - 4*j + 21, 22 = -5*l + 2*j. Suppose -4*a = -0*a - 20. Let x(k) = -k**2 - 1. Determine a*o(v) + l*x(v). -v**2 - 1 Suppose -k = 11 - 1. Let z(a) = -5*a + 5. Let r(n) = -21*n + 20. Let w = -56 - -34. Let v(y) = w*z(y) + 6*r(y). Let x(l) = 5*l - 3. Calculate k*x(q) - 3*v(q). -2*q Suppose -3*l = 3*u - 6, -l - 1 = -5*u - 3. Let w(s) = -3*s**3. Let t(z) = 13*z**3. Determine l*t(c) + 9*w(c). -c**3 Let d(j) = j - 1. Let l(y) = 4*y**2 + 10*y - 5. Let a(i) = 5*d(i) - l(i). Let p(m) = 6*m**2 + 8*m. Give 8*a(v) + 5*p(v). -2*v**2 Let j(p) = p**3 + p**2 - p. Let h(s) = 4*s**3 + 2*s**2 - 2*s. Give -h(q) + 2*j(q). -2*q**3 Suppose -2*n - 14 = -6. Let c(x) = 5*x + 5. Let l(b) = b + 1. What is n*l(z) + c(z)? z + 1 Let j(b) = -5*b**3 + b**2 + 2. Let w(n) = 4*n**3 - 2*n**2 - 3. Give -2*j(i) - 3*w(i). -2*i**3 + 4*i**2 + 5 Let q(u) = 16*u + 17. Let k(s) = 49*s + 51. Let x(d) = 2*k(d) - 7*q(d). Suppose -3 = -w + 3. Let t(y) = -2*y + 0 - 6 - 3*y. Calculate w*x(i) - 17*t(i). i Let w(t) = 40*t**2 - 12. Let q(b) = -16*b**2 + 5. Calculate 12*q(s) + 5*w(s). 8*s**2 Let g(l) = 3*l**3 + 2*l**2 - 4*l - 2. Let x(b) = 13*b**3 + 9*b**2 - 15*b - 9. Let i(z) = -9*g(z) + 2*x(z). Let h(f) = f. Give -6*h(p) + i(p). -p**3 Let y(b) = -3*b**2 + 4*b**2 + b - b**3 + 0*b**2 - 1. Let k(r) = 2 + 8*r**3 + 97*r - 7*r**2 + 6 - 103*r. What is k(i) + 6*y(i)? 2*i**3 - i**2 + 2 Let l(a) = -a**3 + 9*a + 2. Let o(c) = -c**3 + 8*c + 2. Suppose -b - 2 - 1 = 0. Let s = b + 0. Let g be (s/9)/(1/(-21)). What is g*o(h) - 6*l(h)? -h**3 + 2*h + 2 Let l(x) be the second derivative of -x**5/5 + x**4/2 - x**3 + x**2/2 - 7*x. Let r(n) = 3*n**3 - 5*n**2 + 5*n - 1. Give -5*l(c) - 6*r(c). 2*c**3 + 1 Let i(o) be the third derivative of -o**5/15 - o**4/24 - 2*o**2. Let k be 1/(0 + 1/(-3)). Let l(n) = -3*n**2. Determine k*l(w) + 2*i(w). w**2 - 2*w Let o(j) = j - 1. Let b(h) = -4*h**2 - 10*h + 10. Give -3*b(i) - 30*o(i). 12*i**2 Let b(s) = -5*s**2 + 2*s + 7. Let i(m) = m**2 - 1. Calculate -b(r) - 4*i(r). r**2 - 2*r - 3 Let g(t) = -8*t**2 - 5*t - 7. Let k(d) = -d**2 - d - 1. Give -g(o) + 5*k(o). 3*o**2 + 2 Let n(j) = j. Let o(z) = -z. Let l(g) = 12*g. Let t(p) = -l(p) - 8*o(p). What is -24*n(x) - 5*t(x)? -4*x Let y(w) = -2*w**2 - 4*w - 1. Let j(s) = -s + 6*s + 0*s**2 - 11*s**2. Let f(r) = 7*r**2 - 3*r. Let v(x) = -8*f(x) - 5*j(x). Give 3*v(q) - y(q). -q**2 + q + 1 Let c(x) = 8*x**2 + 10*x - 9. Let g = -3 + 4. Let h(b) = b**2 - b + g - b**2 - b
{ "pile_set_name": "DM Mathematics" }
-i**7/1260 - i**4/6 + i. Let y(u) be the third derivative of h(u). Determine y(n(c)). -72*c**2 Let t(k) = -5*k. Let r(h) = -h. Let p(g) = -g**2 - g. Let m(o) = 5*p(o) - 5*r(o). Calculate m(t(q)). -125*q**2 Let g(p) = p**2 - 6*p. Let v(c) = -c**2 - c. Let a(b) = -g(b) + 6*v(b). Let i(r) be the third derivative of -r**5/60 - 6*r**2. What is a(i(k))? -7*k**4 Let f(m) = -9*m. Let a(c) be the second derivative of c**3/2 - 4*c. Calculate a(f(w)). -27*w Let w(q) = -33*q. Let r(x) be the third derivative of -x**5/60 - 27*x**2. Calculate r(w(j)). -1089*j**2 Let t(d) = 3*d. Let r(j) be the third derivative of -j**5/12 - 3*j**2. Give r(t(z)). -45*z**2 Let m(w) = -3*w. Let l(o) = 2*o**2 + 2 - 2 - 12*o**2. What is l(m(n))? -90*n**2 Let h(z) = 7*z**2. Suppose -3*k - 3 = 0, 5*s + 2 - 3 = k. Let p(j) = 2*j + 49 + s*j - 49. What is p(h(g))? 14*g**2 Let b(u) = 11*u. Let a(d) = -4*d + 5*d + d. What is a(b(x))? 22*x Let w(u) = -8*u**2. Let l(m) = 180*m - 2. Calculate w(l(h)). -259200*h**2 + 5760*h - 32 Let o(r) = -r**2 + 0*r + 0*r + 2*r**2. Let g be 40/12 - 2/(-3). Let s(m) = 25 + g*m**2 - 25. What is s(o(k))? 4*k**4 Let r(g) = -5*g. Let z(t) be the third derivative of t**4/6 - 14*t**2. Determine r(z(i)). -20*i Let h(b) = 39*b. Let c(i) = -2*i - 3. Let l(t) = 3*t + 5. Let u(p) = 10*c(p) + 6*l(p). Give u(h(f)). -78*f Let a(s) be the third derivative of s**4/24 - 2*s**2. Let w(n) = -2*n. What is w(a(y))? -2*y Let q(g) = -g. Let a be 7/21 + 11/3. Let f(p) = -p + 2*p - 3*p + a*p. Give q(f(d)). -2*d Let w(a) = -a. Let v(u) be the second derivative of 0 - u + 0*u**2 + 1/2*u**3. Give v(w(s)). -3*s Let t(h) = -h. Let m(y) = 56 + 8*y**2 - 56. Let s(d) = -4*d**2. Suppose -3*n + 3*u + 13 = u, -n = -5*u - 13. Let c(w) = n*m(w) + 5*s(w). Determine t(c(a)). -4*a**2 Let j(l) = -25*l. Let k(q) be the third derivative of -q**5/30 + 35*q**2. What is j(k(i))? 50*i**2 Let f(z) = z - 1. Let j(i) = -6*i + 5. Let w(v) = 10*f(v) + 2*j(v). Let g(d) = -d. Determine g(w(r)). 2*r Let c(k) = -2*k. Let h(r) = -37*r. What is c(h(f))? 74*f Let o(f) be the third derivative of -31*f**5/60 + 38*f**2. Let b(j) = 2*j**2. Determine o(b(p)). -124*p**4 Let b(f) = -25*f**2. Let i(z) = -29*z**2. What is i(b(s))? -18125*s**4 Let i(u) = u**2. Let r(s) = 1 - 5 - 8*s - 4*s**2 + 4. Determine i(r(g)). 16*g**4 + 64*g**3 + 64*g**2 Let j(b) = -b. Let s(m) = 7*m**2 - 7*m - 2. What is s(j(a))? 7*a**2 + 7*a - 2 Let t = -8 + 13. Let z(o) = 3*o. Let h(w) = -5*w. Let r(k) = t*z(k) + 2*h(k). Let q(p) = -3*p**2. What is r(q(j))? -15*j**2 Let v(s) = -2*s. Let l = -11 - -29. Let i(k) = 2*k + 7*k - l*k. Determine v(i(h)). 18*h Let r(v) = -2*v**2. Let x(q) = -q**2 - 19 + 13 + 6. Determine r(x(u)). -2*u**4 Let r(b) = -8*b - 7. Let j(h) = -2*h - 8. Let x(v) = 2*v + 10. Let n(l) = -5*j(l) - 4*x(l). Determine n(r(m)). -16*m - 14 Let k(i) = -i**2. Let q(v) = -53*v + 116. Calculate q(k(p)). 53*p**2 + 116 Let l(j) = j**2. Let t(q) = q**2 - 4*q + 4. Let h(f) = -f. Let z(d) = 4*h(d) - t(d). Let n(x) be the first derivative of z(x). Calculate l(n(o)). 4*o**2 Let n(u) = -u**2. Let l(a) = 4*a - 11. Let f(j) = j - 3. Let d = 5 + 1. Let w(y) = d*l(y) - 22*f(y). Determine w(n(t)). -2*t**2 Let v(s) = 3*s. Let g = 58 - 58. Let z(a) be the third derivative of g*a**3 + 1/12*a**4 + 0*a + 3*a**2 + 0. Determine z(v(t)). 6*t Let r(h) be the third derivative of 0*h**3 + 0 + 0*h - 1/24*h**4 - 2*h**2. Let z(u) = -7*u**2. What is r(z(p))? 7*p**2 Let a(n) = -22*n**2 + 3*n**2 + 10*n**2. Let i(m) be the first derivative of -2*m**3/3 - 1. Calculate i(a(k)). -162*k**4 Let s(r) = 3*r. Let k(d) = d + 6 - 6. Determine s(k(m)). 3*m Suppose 12*d + 8 = 16*d. Let r(g) be the first derivative of 0*g + 1/3*g**3 + 0*g**d + 2. Let k(s) = 6*s. Determine k(r(n)). 6*n**2 Let v(q) = -q**2. Let f(x) = -2*x**2. Let s(i) = -i**3 - 8*i**2 - 6*i. Let p be s(-7). Let o(h) = -h**2. Let m(z) = p*o(z) + 3*f(z). Determine m(v(l)). l**4 Let z(h) = h**2. Suppose -31 = -4*w - 11. Let t = w + -4. Let k(f) = 4*f - 3 + 2 + t. Give z(k(m)). 16*m**2 Let m(s) be the first derivative of -4*s**3/3 + 8. Let b(l) = 0 + 2*l**2 + 0. Calculate b(m(j)). 32*j**4 Let y(w) = -35*w**2. Let d(k) = 2*k. What is d(y(f))? -70*f**2 Let y(a) be the second derivative of 0*a**3 - 1/6*a**4 + 0 + 0*a**2 + 2*a. Let t(r) = r**2. Calculate t(y(f)). 4*f**4 Let y(c) = -2*c. Let i(j) = -j**3 + 0 + 1 - j - 4*j**2 + 0*j. Let b be i(-4). Let z(k) = -k + b*k - 2*k. Give z(y(p)). -4*p Let n(v) = 6*v. Let k(u) be the first derivative of u**3/3 - 6. Determine n(k(s)). 6*s**2 Let c = 0 - 0. Let t(w) = 0*w - w + c*w. Let i(u) be the third derivative of -u**5/60 - 2*u**2. Give i(t(p)). -p**2 Let n(h) be the third derivative of h**4/8 - 5*h**2. Let v(i) = -2*i**2. What is v(n(q))? -18*q**2 Let t(w) = w. Let i(p) = 755 - 755 - 12*p. Determine t(i(f)). -12*f Let l(b) = 4*b - 7. Let h(n) = -6*n**2 + 5*n. Determine l(h(y)). -24*y**2 + 20*y - 7 Let k(d) = 7*d**2 + 5. Let q(j) = -11*j**2 - 8. Let s(n) = 8*k(n) + 5*q(n). Let r(a) = 6*a. Determine s(r(w)). 36*w**2 Let f(a) be the first derivative of -a**3/6 + 9*a + 2. Let i(c) be the first derivative of f(c). Let h(t) = 5*t**2. Give h(i(b)). 5*b**2 Let m be 0/(5 + -2) - -5. Suppose m*l - 5 = 5. Let p(b) = l*b - 4*b + 4*b. Let r(f) = f**2. Give p(r(v)). 2*v**2 Let t(s) = -3*s**2. Let q(l) = -4*l - 2. Suppose 5 = -3*f - 1. Suppose z - 3*z = -6. Let h(v) = -5*v - 3. Let i(r) = f*h(r) + z*q(r). Determine i(t(b)). 6*b**2 Let b(p) = -14*p. Let f(a) = 19*a**2. Calculate b(f(c)). -266*c**2 Let f(w) be the second derivative of -5/12*w**4 + 0*w**3 + 0*w**2 - 2*w + 0. Let a(k) = k**2. Give a(f(v)). 25*v**4 Let j(d) = -43*d**2. Let q(o) = 3*o**2. Determine j(q(i)). -387*i**4 Let c(x) = -3*x**2. Suppose z + z + 3*k - 24 = 0, 3*z + k - 50 = 0. Let a(w) = -2*w**2 + 3*w**2 - 18 + z. Calculate a(c(r)). 9*r**4 Let h(p) = -p**2. Let o(m) = -23*m**2 + 3*m + 10. Determine o(h(c)). -23*c**4 - 3*c**2 + 10 Let z(o) = o. Let u(h) = 90*h. Determine z(u(q)). 90*q Let j(m) = -m**2. Suppose 9 = 4*l - 3. Let d(w) = 231*w. Let s(u) = -8*u. Let p(v) = l*d(v) + 88*s(v). Give p(j(k)). 11*k**2 Let s(h) be the third derivative of -h**4/24 + h**2. Let v(n) = -6*n**2. Give v(s(w)). -6*w**2 Let o(j) be the third derivative of j**4/8 - 30*j**2. Let c(y) = 2*y**2. Give c(o(p)). 18*p**2 Let m(c) = 14*c**2 - 12. Let l(u) = u**2 + 0 + 1 - 2*u**2. Let q = -23 - -35. Let h(d) = q*l(d) + m(d). Let z(n) = -n. What is z(h(r))? -2*r**2 Let b(i) = -i**2. Let o(p) be the second derivative of -p**5/20 - p**3/3 - 4*p. Let f(v) be the second derivative of o(v). Determine f(b(s)). 6*s**2 Let w(x) = 207*x**2 + 2*x - 3. Let p(d) = 2*d**2. Determine w(p(s)). 828*s**4 + 4*s**2 - 3 Let s(w) = 4*w**2. Let x(g) be the second derivative of g**4/3 + 7*g. Give x(s(b)). 64*b**4 Let x = -59 + 59. Let z(g) be the third derivative of -1/30*g**5 + x*g + 0 + 0*g**3 - 3*g**2 + 0*g**4. Let v(f) = 2*f**2. Determine z(v(b)). -8*b**4 Let s(p) = p - 5. Let y(a) = 5*a + 1. What is s(y(j))? 5*j - 4 Let z(s) = 4*s**2. Let i(x) = -10*x**2 + 7*x - 7. Let w(t) = 7*t**2 - 5*t + 5. Let p(k) = 5*i(k) + 7*w(k). Calculate z(p(h)). 4*h**4 Let j(t) = t. Let s(m) = -6*m**2 - 2*m**2 + 4*m**2 + 3*m**2. Give s(j(o)). -o**2 Let g(w) = -8*w - 7. Let f(o) = 7*o + 6. Let v(l) = -7*f(l) - 6*g(l). Let t be (-1)/(1 + 9/(-6)). Let a(d) = -3*d**t - 2*d + 2*d + 2*d**2. Give a(v(r)). -r**2 Let u(s) = s**2 + 5*s. Let t(b) = -b**2 + 6*b - 2. Let l be t(4). Let p(h) = -h**2 - 6*h. Let y(c) = l*u(c) + 5*p(c). Let v(k) = 12*k. Determine v(y(f)). 12*f**2 Let w(l) = 30*l**2. Let j(m) = -7*m. Give j(w(r)). -210*r**2 Let p(g) = -2106*g**2. Let s(a) = 2*a. What is p(s(n))? -8424*n**2 Let j(r) = -r. Let c = 780 + -46799/60. Let m(y) be the third derivative of 0*y**3 + 2*y**2 + 0*y**4 + 0 + c*y**5 + 0*y. Give j(m(z)). -z**2 Let g(w) = 2*w**2. Let r(l) be the second derivative of -l**4/6 - 3*l. Determine g(r(i)). 8*i**4 Let d(g) be the first derivative of -13*g**2/2 + 2. Let y(r) = -r. Calculate y(d(c)). 13*c Let z = 4 - 10. Let w = z - -12. Let t(j) = -2*j - 3*j - 2*j + w*j. Let c(o) = 3*o**2. Calculate c(t(y)). 3*y**2 Let k(i) = -1566*i. Let d(l) = -13*l**2. Determine k(d(o)). 20358*o**2 Let l(j) = -6*j + 3*j + 4*j - 2*j. Let n(g) = -26*g**2. Give n(l(c)). -26*c**2 Let l(b) be the second deriva
{ "pile_set_name": "DM Mathematics" }
, -2/5, 1882, -1/5, 4 in descending order. 1882, 4, -1/5, -2/5, -4/5, -68 Sort -8, 4, 19601, 11, 2, -1, -4 in descending order. 19601, 11, 4, 2, -1, -4, -8 Sort -0.8, -2, 4, 0, -0.2, -2/3743 in increasing order. -2, -0.8, -0.2, -2/3743, 0, 4 Sort -23/4, 2/13, 3, 3/337, 3/2, 4. -23/4, 3/337, 2/13, 3/2, 3, 4 Sort 1268/5, -0.3, -113 in decreasing order. 1268/5, -0.3, -113 Put -0.4, 0.02, 1, -199.4, 5 in decreasing order. 5, 1, 0.02, -0.4, -199.4 Sort 3/7, -8, -2/3, 0.5, 34550. -8, -2/3, 3/7, 0.5, 34550 Put 73495, 8, -61, -4 in decreasing order. 73495, 8, -4, -61 Put 29, 0.02, -2/13, 1378 in decreasing order. 1378, 29, 0.02, -2/13 Put -3/2, 33/2, 122/3, -0.41 in increasing order. -3/2, -0.41, 33/2, 122/3 Sort 0.1043, 14/71, 4/5 in increasing order. 0.1043, 14/71, 4/5 Put 4, 2, 0, -3, -62, -1841 in ascending order. -1841, -62, -3, 0, 2, 4 Sort 2/13, -16.3, 7, -2/5, 6.9, -4 in decreasing order. 7, 6.9, 2/13, -2/5, -4, -16.3 Put -55, 0.05, 162/41 in decreasing order. 162/41, 0.05, -55 Sort -1100, -11, -120 in decreasing order. -11, -120, -1100 Sort -58, -4, 3, -12, -3, 23, 1 in decreasing order. 23, 3, 1, -3, -4, -12, -58 Sort 6, 16, -1, -11730 in decreasing order. 16, 6, -1, -11730 Put -95, 4/109, 2, -138 in descending order. 2, 4/109, -95, -138 Put -53122, 2, 365, -4 in descending order. 365, 2, -4, -53122 Sort 633/259, -5/18, -0.3. -0.3, -5/18, 633/259 Put -35, 0.01, 14.943 in descending order. 14.943, 0.01, -35 Sort 0.2, 0.4, 0.0519, 3772 in ascending order. 0.0519, 0.2, 0.4, 3772 Sort -1/29, 0.2, -4, -24, 0, -2 in descending order. 0.2, 0, -1/29, -2, -4, -24 Sort -3, -527, -87, 277 in decreasing order. 277, -3, -87, -527 Sort 5, 2, -10, 16, -48, -4, 0 in ascending order. -48, -10, -4, 0, 2, 5, 16 Put -2, -4, -80, 1, 106, 13, -3 in increasing order. -80, -4, -3, -2, 1, 13, 106 Sort 4, -475.9, 89, 2. -475.9, 2, 4, 89 Sort 0.2, -23773, -0.27 in descending order. 0.2, -0.27, -23773 Put -5, -3970503, 4, 0 in ascending order. -3970503, -5, 0, 4 Put -2445, 4, -3, 14, 1, 3, 5 in decreasing order. 14, 5, 4, 3, 1, -3, -2445 Put 2, 17, 161, 3, 4, 39 in decreasing order. 161, 39, 17, 4, 3, 2 Put -19, 8, -5, 5, -136737 in descending order. 8, 5, -5, -19, -136737 Put -75.2, -0.5, 0.15328, 0.5 in ascending order. -75.2, -0.5, 0.15328, 0.5 Sort 2, -26, -1, -3, 0, -287. -287, -26, -3, -1, 0, 2 Put -123, -2, -0.5, 2/809 in decreasing order. 2/809, -0.5, -2, -123 Sort 3, -280.867, -4/3, 4. -280.867, -4/3, 3, 4 Sort -2/5, 21/16, 4/9, 4, 1, 163 in decreasing order. 163, 4, 21/16, 1, 4/9, -2/5 Put -1886, -29, 5, -1, -8 in increasing order. -1886, -29, -8, -1, 5 Sort 0, -5, -8770, -1, 6 in ascending order. -8770, -5, -1, 0, 6 Sort -3/4, 126, 2/11, -42 in decreasing order. 126, 2/11, -3/4, -42 Sort 2, 852, -611, 4. -611, 2, 4, 852 Sort -13, -3971, 0.5, 0.2, 3/2 in descending order. 3/2, 0.5, 0.2, -13, -3971 Sort -1160, -1406, 5 in descending order. 5, -1160, -1406 Sort -2, 2, 1/5, -0.5, -4667.337 in ascending order. -4667.337, -2, -0.5, 1/5, 2 Sort -1, -160, -37, 4, -2, -28 in ascending order. -160, -37, -28, -2, -1, 4 Put 2, -184, 1, 59, 1131 in decreasing order. 1131, 59, 2, 1, -184 Sort 1, -4, 3, -30, -1, 14, 2 in decreasing order. 14, 3, 2, 1, -1, -4, -30 Put -3, -11, -1834, -210 in descending order. -3, -11, -210, -1834 Sort -4, 62488, -2701 in decreasing order. 62488, -4, -2701 Put -0.02, -3, -978250, -5 in increasing order. -978250, -5, -3, -0.02 Sort 3/17, -7388125, 5 in decreasing order. 5, 3/17, -7388125 Put 3, 31, -0.4, -2, -0.119, 0.4 in increasing order. -2, -0.4, -0.119, 0.4, 3, 31 Sort -819, 301, -36 in descending order. 301, -36, -819 Sort -4, 216679, 4, -3 in ascending order. -4, -3, 4, 216679 Sort 1, -3068, -10518 in ascending order. -10518, -3068, 1 Sort -3, 9, -82, 315, 2/53 in decreasing order. 315, 9, 2/53, -3, -82 Sort 36, -4, 2, 3, 1, -6, 44 in decreasing order. 44, 36, 3, 2, 1, -4, -6 Sort -1, -0.2, 4, 0.175, 23, -0.47. -1, -0.47, -0.2, 0.175, 4, 23 Sort 0.042, -1, 0.04, 1, 13.47 in decreasing order. 13.47, 1, 0.042, 0.04, -1 Put 0, -26, 541988 in descending order. 541988, 0, -26 Sort 2/11, 3, 0.438, 7/5, 1/7, 1.7 in descending order. 3, 1.7, 7/5, 0.438, 2/11, 1/7 Sort 34612, 3, -207, 2 in increasing order. -207, 2, 3, 34612 Put -24/11, 23, 1/5, -0.4, 1/33 in ascending order. -24/11, -0.4, 1/33, 1/5, 23 Put 1/19, -5285, -3, 1/2 in decreasing order. 1/2, 1/19, -3, -5285 Put 1, 9194, 4, -2, 2 in descending order. 9194, 4, 2, 1, -2 Sort -2, -5, -1, -18, 19, -4, 2. -18, -5, -4, -2, -1, 2, 19 Put -20, 6, 20, -1370 in increasing order. -1370, -20, 6, 20 Sort -3, 21/4, -4, 91.62 in ascending order. -4, -3, 21/4, 91.62 Sort 2, 1, -3, 0, 1004, 5 in increasing order. -3, 0, 1, 2, 5, 1004 Sort -3, -614, -4, 2314 in ascending order. -614, -4, -3, 2314 Put 0, 11, -2, -11545, 3 in descending order. 11, 3, 0, -2, -11545 Put -107, 1, -6076, 5 in decreasing order. 5, 1, -107, -6076 Sort 4, -10530, 45. -10530, 4, 45 Sort -37, -4, -5, 126/55, -0.19, 1 in decreasing order. 126/55, 1, -0.19, -4, -5, -37 Put -659, -32, -347 in decreasing order. -32, -347, -659 Put 6, -45738, 1 in descending order. 6, 1, -45738 Sort 1.82, 6, -54, -1/143 in ascending order. -54, -1/143, 1.82, 6 Put 7, -40634, 1/5, -7/5, 0, 3 in descending order. 7, 3, 1/5, 0, -7/5, -40634 Sort 1, 135, 2689, 0, 10. 0, 1, 10, 135, 2689 Sort -129687, -30, 5 in decreasing order. 5, -30, -129687 Put 3.402, 1/64, 1/20 in decreasing order. 3.402, 1/20, 1/64 Sort -2/29, -2, -49, 3, 89 in ascending order. -49, -2, -2/29, 3, 89 Sort 1/4, -0.53457, 0.5, -6 in descending order. 0.5, 1/4, -0.53457, -6 Sort -129, 84, 2, -18 in descending order. 84, 2, -18, -129 Sort 15, 5516, 0, -298 in ascending order. -298, 0, 15, 5516 Sort -6879660, -4, 4. -6879660, -4, 4 Put 4, -1.2, -2183 in descending order. 4, -1.2, -2183 Sort 7, -7, 3.3, 6, 3/7, 0.05, 3 in decreasing order. 7, 6, 3.3, 3, 3/7, 0.05, -7 Put -336, 3, -779, 1, -8 in descending order. 3, 1, -8, -336, -779 Put -9, -4, 4, -3573, 3809, 5 in descending order. 3809, 5, 4, -4, -9, -3573 Sort 9, -4, 385, -1, 4, -6 in increasing order. -6, -4, -1, 4, 9, 385 Sort -3, 3, -4, -53, 10003. -53, -4, -3, 3, 10003 Put -5, -19, 4, 1, 982 in ascending order. -19, -5, 1, 4, 982 Sort -0.3, -2/31, -5/92694, 2 in decreasing order. 2, -5/92694, -2/31, -0.3 Sort 208, 1, 634, -124. -124, 1, 208, 634 Put -4, 54, 2, -206, -5, -3, -24 in increasing order. -206, -24, -5, -4, -3, 2, 54 Sort 22618, -61, 4 in ascending order. -61, 4, 22618 Sort 20, 1660, -2/379, 2/9 in increasing order. -2/379, 2/9, 20, 1660 Put -618, 4, -13, 743 in decreasing order. 743, 4, -13, -618 Put 52, -45, 98, 12 in descending order. 98, 52, 12, -45 Sort 2/1263, 3, -2, 33, 2/13 in descending order. 33, 3, 2/13, 2/1263, -2 Sort 6, 712, -13512. -13512, 6, 712 Sort -179, -1, -5, 2/9, -0.4, -3/43 in ascending order. -179, -5, -1, -0.4, -3/43, 2/9 Sort -88, 41, 1, 4, 3, -5, 15 in increasing order. -88, -5, 1, 3, 4, 15, 41 Put 2, -7312277, -6 in decreasing order. 2, -6, -7312277 Put -5, 3, 4, 2, 236, -35, -19 in decreasing order. 236, 4, 3, 2, -5, -19, -35 Put -0.060257, 0.3, -1, 3 in ascending order. -1, -0.060257, 0.3, 3 Sort 4, -46, 0.77, 1/4 in descending order. 4, 0.77, 1/4, -46 Put 1, -587, -3, -5, -1, 2 in descending order. 2, 1, -1, -3, -5, -587 Put 299/16, 5, 3/4, 23 in descending order. 23, 299/16, 5, 3/4 Put -1, 27651, -4, 2.5, -15 in descending order. 27651, 2.5, -1, -4, -15 Sort 22, -31, 0, -1450, 3, 1 in descending order. 22, 3, 1, 0, -31, -1450 Put 2/17, 0, 3/2, -1, 99, -3/2 in increasing order. -3/2, -1, 0, 2/17, 3/2, 99 Sort -1.3, -31, -596/45. -31, -596/45, -1.3 Put -10157, 4197, 3 in increasing order. -10157, 3, 4197 Sort 2475, -5, -9, 688 in ascending order. -9, -5, 688, 2475 Put 3, 52, 0, 5, -1, -21, -5 in decreasing order. 52, 5, 3, 0, -1, -5, -21 Sort 0, -888, 1, -2, -126 in ascending order. -888, -126, -2, 0, 1 Sort 2/15, -3122, 4, -256. -3122, -256, 2/15, 4 Put -86974, -7, 2 in ascending order. -86974, -7, 2 Sort 24, 0.5, -0.9, -8, -0.2, 0 in ascending order. -8, -0.9, -0.2, 0, 0.5, 24 Sort 748, 1, -4, -3, 49, -5, 251 in descending order. 748, 251, 49, 1, -3, -4, -5 Put -0.427, -0.051, 2, -0.1, 0, -4 in decreasing order. 2, 0, -0.051, -0.1, -0.427, -4 Put -3, 1/2, -65, 2/22773 in descending orde
{ "pile_set_name": "DM Mathematics" }
((-2)/28). Suppose -46 = -5*v - g, 42 = t*v + v + 2*g. Is v a multiple of 5? True Let l be ((-9)/(-6))/(3/6). Suppose -g - 3*p = 26 + 16, 5*g + 138 = l*p. Let m = g + 36. Is m a multiple of 6? True Let i be ((-2)/(-6)*-2)/(2/(-9)). Suppose 4*m - 657 = 5*g, 0*g = 3*m - i*g - 489. Does 13 divide m? False Suppose 3*f = 3*h + 1497, 8*f - 2515 = 3*f - 5*h. Is f even? False Suppose 3*o - 20 = -14. Is 6 a factor of -21 + 16 + o*(-586)/(-4)? True Suppose -3227 = 10*j - 86227. Does 10 divide j? True Let v = -312 - -320. Suppose -h + 1366 = n, 5*h - v*h = -5*n + 6830. Is 51 a factor of n? False Does 18 divide ((-74)/(-6) - 15) + 215/3? False Suppose z = 4*u - 633 - 3831, 5*u = 2*z + 5580. Does 12 divide u? True Let i(p) = 56*p**2 + 53*p - 52. Does 46 divide i(12)? True Does 10 divide ((-532)/70 + 1 + -5)*-150? True Let s be (-24)/(-132) + 119/11. Suppose s*c - 7*c - 420 = 0. Is c a multiple of 21? True Suppose -30 = 3*g - 7*g - 2*x, 25 = 2*g + 3*x. Let n(w) = 2*w**2 - 2*w - 20. Does 5 divide n(g)? True Let u be (-2)/(-3)*162/36. Suppose 0 = 3*z - 3*k - 9, -4*z + 3*k + 9 + u = 0. Suppose -z*s + r = -162, -2*r = r. Is 12 a factor of s? False Let b = -949 + 954. Suppose -q = 4*x - 1746, -b*x + 4*q + 352 = -1841. Does 23 divide x? True Let t be 5 - -3 - 6 - 4/2. Suppose t*p - 32 = 2*z + p, -4*p + 52 = -4*z. Is (-515)/z + (-4)/(-6) a multiple of 5? True Let t(n) = -20*n + 33. Let i be t(2). Is (-2354)/i + 2 + 112/(-49) a multiple of 18? False Suppose -51*r + 56*r + 15 = 0, -5*l - r + 5107 = 0. Is l a multiple of 146? True Suppose -v = 4*w - 2805, -w - 4*v = -264 - 426. Suppose -x = -5*m + w, x = -0*m - m + 144. Let r = m + -93. Is 3 a factor of r? True Let t = 20 - 42. Let q = t - -37. Suppose 185 = 8*a - q. Does 8 divide a? False Suppose -k - 3*j + 5501 = 0, 5*k + 5*j - 6815 = 20740. Is 14 a factor of k? True Suppose 0 = 4*b - 5*c - 6333 - 1696, 0 = 3*c + 3. Suppose 11*w - b = 1184. Does 8 divide w? False Suppose 0 = -6*u - 4099 + 991. Let r = -287 - u. Does 33 divide r? True Let g(y) = -4*y**3 + 10*y**2 - 26. Is g(-3) a multiple of 12? False Let m = -5826 + 15091. Is m a multiple of 11? False Is 14 a factor of (-2524)/(3245/(-215) + 15)? False Suppose 0 = -4*m - 8, 216 = 3*t - 4*m - 362. Does 10 divide t? True Suppose 4*d = 4*l + 1340, -8*d + 6*d - 3*l + 655 = 0. Suppose -14*o + d = -12*o. Is 17 a factor of o? False Let z = -2465 + 3464. Let x = -646 + z. Is x a multiple of 49? False Let w(j) = -7*j**2 - 113*j - 22. Let p be w(-16). Let z(g) = 10*g**2 + 4*g + 18. Is z(p) a multiple of 6? True Let d be (1 + 3)/4*(-3 + 3). Suppose -b - 923 + 79 = -2*k, d = 2*b. Is 57 a factor of k? False Let l be (-4)/(-18) - 12/54. Suppose -3*a + 0*a + 246 = l. Suppose k - a = 32. Is 16 a factor of k? False Let s = -1193 - -2165. Is 4 a factor of s? True Let u(g) = 2*g**3 + 7*g**2 + 47*g - 145. Is u(9) a multiple of 49? True Let v(p) = 72*p**2 - 9*p - 9. Let q be v(7). Suppose -8*c - 4*c = -q. Suppose 0 = -2*k + 5*k - c. Is 16 a factor of k? True Suppose -2*c - f = -2, -3*f = -4*f - 4. Suppose -5*i + 1090 + 878 = -3*d, c*d = 4*i - 1575. Is i a multiple of 34? False Let w = 3346 - 889. Suppose s - w = -6*s. Is 8 a factor of s? False Suppose -93*s + 1710088 = 617338. Does 125 divide s? True Suppose 4*m = 12, -1507 = v - 3*v + m. Suppose -4*h + v - 142 = b, -3*b - 625 = -4*h. Is 7 a factor of h? True Suppose -3*y = 208 - 4. Let i = 128 + y. Suppose -5*c + i = -25. Does 14 divide c? False Suppose 29*h - 70 = 24*h + 5*v, 0 = -5*v - 25. Suppose -s = -h*s + 2040. Is 8 a factor of s? False Let b = 794 + -456. Suppose -5*a - 93 = -b. Let s = -25 + a. Does 24 divide s? True Let c(o) = 36*o**2 + 32*o + 5. Is 5 a factor of c(-3)? False Let d = 610 - 436. Is 15 a factor of (-3 + d/18)/((-4)/(-30))? False Suppose c = 3*c - 252. Is -1*6 - c/(-3) a multiple of 9? True Suppose 5*g + 21217 = 4*c, 2*g + 32257 - 11031 = 4*c. Suppose -1611 = -11*i + c. Is 18 a factor of i? False Let x be (1*-94)/(-8*1)*24. Is x - (0 - (0 - -6)) a multiple of 36? True Suppose 0 = b - d + 2*d + 3, -3*b = 2*d + 6. Let w(n) = 3*n**2 + n + 174. Let p be w(b). Is 19 a factor of 2/((-24)/18*(-9)/p)? False Let p(z) = z**3 + 18*z**2 - 4*z - 29. Suppose 0 = 30*k - 22*k + 16. Let r be (9/(-6) + 1)/(k/(-72)). Is 17 a factor of p(r)? False Let c = -11646 + 23015. Does 34 divide c? False Let j = 54 - 39. Suppose -j = 7*i - 10*i. Suppose 0 = d + i*u - 11 - 54, -4*d = -2*u - 370. Is 18 a factor of d? True Let k = -3753 + 5534. Is k a multiple of 13? True Let w be -3 - 1/((-3)/21). Let p be (w - 7)*(0 + (-12)/9). Suppose -p*z + i + 303 = 0, -7 = -4*z - 2*i + 287. Is z a multiple of 25? True Let b be ((-55)/110)/(2/(-456)). Let j(p) = 8*p**2 - 2*p + 1. Let f be j(3). Let o = b - f. Is 13 a factor of o? False Suppose -6*r + 41*f - 36*f + 3885 = 0, 0 = -r - 4*f + 604. Is r a multiple of 5? True Suppose 8 = -4*q, 3*o + 0*o + 2*q = -493. Let i = 115 + o. Let h = 130 + i. Is h a multiple of 6? False Let i be ((0 - -1) + -1)/(-2). Suppose 5*a - 3308 - 112 = i. Is 18 a factor of a? True Let k(n) = -22*n**3 + 31*n**2 - 3*n + 20. Is k(-5) a multiple of 10? True Let f = -72 - -134. Suppose 3*c + 62 = f. Suppose c = -5*s + 155 + 185. Does 17 divide s? True Let y(t) = -t**2 + 4*t - 39. Suppose 0 = 2*u - 7*u + 5*n + 35, -u + 4*n = -1. Let r be y(u). Is (42/49)/((-1)/r) a multiple of 12? True Does 72 divide ((1035 - 52) + (6 - 3))*(34 - 0)? False Let z = -155 + 160. Suppose n - z*v - 68 - 32 = 0, -5*n + v = -476. Does 12 divide n? False Let q(g) = -g - 15. Let a be q(-20). Suppose 4*d - 668 = -3*t, -a*d + 323 + 787 = 5*t. Is 44 a factor of t? True Let m be -10*(73 + 5) - 4. Let o = m - -1162. Does 55 divide o? False Let s(y) be the second derivative of y**5/20 - 7*y**4/12 - 8*y**3/3 - 3*y**2 - 6*y. Let l be s(9). Suppose -l*q = -14*q + 126. Is q a multiple of 21? True Suppose 5 = m, -m - 141 = -3*s - 4*m. Suppose -4*y - s = -270. Suppose y = 3*x + x - u, -4*x - 4*u = -32. Is x a multiple of 7? False Suppose 13*t - 15*t = 8. Let i be -5 - t/8*(0 - -2). Let d(z) = z**3 + 6*z**2 - 3*z - 4. Does 5 divide d(i)? True Let l = 2073 - 417. Does 22 divide l? False Suppose 5*b - 3*v = 28192, 19*b - 18*b - 5*v - 5612 = 0. Is b a multiple of 42? False Let c(t) = -726*t - 3842. Is 16 a factor of c(-35)? True Let n(c) = c**3 - 9*c**2 - 5*c + 4. Let d = 93 + -70. Suppose -3*z - 7 = -y, 3*z - d = -y - y. Is n(y) a multiple of 13? False Does 4 divide 4/(28/7)*6 - 11*-50? True Suppose -2*w + 5654 = 4*d - 1936, 4*d + 4*w = 7596. Does 12 divide d? True Let d(s) be the first derivative of -4*s + 8*s - 12 - 24*s - 40*s - 20*s**2. Is d(-8) a multiple of 10? True Suppose f + 5760 = 19*f - 3*f. Is 12 a factor of f? True Let q(c) = 2*c + 522. Is q(69) a multiple of 4? True Let p = -17921 - -29575. Suppose 14*f - 5706 = p. Is f a multiple of 40? True Let s = 662 - 1093. Let z = 307 + s. Let x = 194 + z. Is x a multiple of 14? True Let w(c) = 3*c. Suppose 0 = s - 3*m - 8 - 4, 3*s = 3*m + 6. Let z be w(s). Let g = z - -39. Is 30 a factor of g? True Suppose -4*c - 3*s = -1049, -2*s = -3*c + 2*c + 254. Suppose -2*g = -c - 1100. Does 40 divide g? True Let y = 33110 - 19591. Is 197 a factor of y? False Let t(s) = -3*s**2 + 48. Let c be t(0). Suppose o + 5*o + c = 0. Is 14 a factor of (2460/o)/(-3)*(-12)/(-15)? False Suppose 3*n + 10 - 22 = 0. Suppose 2*g - 7 = -2*a + 7, -27 = -n*g - 3*a. Suppose 0 = -v + g*v - 580. Is 21 a factor of v? False Suppose -3*y + 1213 = 343. Suppose -16*d = 3*r - 14*d - 410, y = 2*r - 2*d. Is r a multiple of 17? False Does 3 divide (14 - 108/8)*3354? True Suppose 172028 = -2*u + 19*u - 288859. Does 184 divide u? False Does 15 divide (-6 - (3 + -13))/(7/840)? True Suppose 50 = 3*x - 40. Suppose 24*z = 29*z - x. Suppose 0 = z*m - 337 - 185. Does 12 divide m? False Suppose -40*y - 227465 = -648105. Does 44 divide y? True Let c(q) = -q**3 + 11*q**2 + 49*q + 13. Is 4 a factor of c(-7)? True Suppose -2*j = -3*o + 71, -o + 102 = -5*j - 56. Let n = -29 - j. Suppose -2*x + 5*g = g - 202, -n*x + g + 205 = 0. Is x a multiple of 30? False Let q(z) = -2*z**3 + 120*z**2 + 131*z - 22. Is q(61) a multiple of 4? False Does 23 divide (-4 - 2)*298835/(-354)? False Suppose -700*s + 702*s = -326. Let z = s - -349. Is 31 a factor of z? True Suppose 20*h + 372 = 40*h
{ "pile_set_name": "DM Mathematics" }
(9 + (-16)/4)*-1. Let a(l) = -2*l**3 - 5*l**2 - 4. Let s be a(d). Calculate the greatest common divisor of s and 11. 11 Suppose -4*a + 5*p = 0, 2*a + 4*p = 4*a. Let b be ((a - 3) + 4)*1. Suppose 0 = 4*i - 3*r + 8*r + b, 5 = -r. Calculate the greatest common factor of 30 and i. 6 Let x = -518 - -654. Calculate the highest common divisor of x and 34. 34 Suppose -4*z - 15 = -4*t + 389, -4*z = -2*t + 196. Calculate the highest common divisor of 56 and t. 8 Let r(y) = -10*y**3 - 3*y**2 + 3*y. Let g be r(-3). Let u be 2 + -4 - -4 - -3. Let d be 30 - (u - 1)/1. What is the greatest common divisor of d and g? 26 Suppose 4*j - 9 + 41 = 0. Let r(p) = p + 13. Let o be r(j). Calculate the highest common divisor of 5 and o. 5 Let o be 18/14 - 1 - (-979)/77. Calculate the highest common divisor of 208 and o. 13 Suppose 5*w + 59 + 1 = 0. Let x(y) = y**3 + 11*y**2 - 15*y. Let h be x(w). Let i(l) = -90*l. Let q be i(-1). What is the greatest common divisor of q and h? 18 Let w be ((-55)/(-1))/(4/8). Let z be 2/10 + 12298/w. What is the highest common divisor of 16 and z? 16 Let d(x) = x**3 + 8*x**2 + 8*x + 17. Let j be d(-7). Let p be -3 + 73/5 + (-6)/j. What is the greatest common factor of p and 33? 11 Suppose -142*c - 3105 = -157*c. Let w(o) = -o**2 + 23. Let i be w(0). Calculate the highest common divisor of c and i. 23 Let l = 47 + -12. What is the highest common divisor of l and 20? 5 Let w be 59/236*(20 - 0). Calculate the highest common factor of 5 and w. 5 Suppose 4*s + 54*s - 6728 = 0. Calculate the highest common divisor of s and 1450. 58 Let i = 12 + -9. Suppose -5*c + 13 - i = 0. Let a be 33 + (-1 - c) + 0. Calculate the greatest common divisor of 15 and a. 15 Suppose s + 0*k + 3 = 5*k, 0 = -s - 3*k + 13. Let g be (-18)/s*(-7 - 7). Calculate the greatest common divisor of 36 and g. 36 Let q = -1597 - -1685. Calculate the highest common divisor of q and 198. 22 Suppose 0 = -3*m + 8*m, -224 = -4*v + 5*m. Calculate the greatest common divisor of 6 and v. 2 Let c be (0 + 9/6)*24/18. Suppose 4 + 8 = c*w. Calculate the greatest common divisor of 6 and w. 6 Let s = 252 - 256. Suppose -805 = -2*l - 2*l - 5*p, 599 = 3*l - p. Let k be l/15 + s/(-6). What is the greatest common divisor of k and 28? 14 Let s be (1 - 1)*(3 - 2). Let h be 35 + 1 + s - (4 - 8). Suppose 0*q = 2*q - 16. Calculate the greatest common factor of q and h. 8 Suppose y + 5*v + 11 + 1 = 0, 0 = -v - 3. Suppose 2 = -y*k + 2*i + 64, -i = -3*k + 67. What is the greatest common factor of k and 36? 12 Let z be -2 - ((-12)/(-6) + -4) - -14. Let c be ((-24)/(-15))/(-4)*-45. Let q be 1 + 5/(15/c). What is the greatest common divisor of z and q? 7 Let x(q) = -q**2 + 13*q - 15. Let h be x(10). Suppose -14*o = -h*o + 32. What is the highest common factor of o and 80? 16 Suppose -5*g - 3*h = -9, -12 = -g + 3*h - 7*h. Suppose g = y + 4*y - 100. Let k = 8 - 0. Calculate the highest common divisor of k and y. 4 Suppose -18 = -2*j + o, 4*j + 2*o - 64 = -3*o. Let z(k) = k**3 - 12*k**2 + 10*k + 14. Let q be z(j). Calculate the highest common divisor of q and 9. 3 Let y(o) = 28*o - 370. Let i be y(15). Suppose -m + 8 = m. Let j be (4/3)/(m/30). What is the highest common factor of i and j? 10 Let k(o) = -o**2 - 36*o - 3. Let h be k(-15). Calculate the highest common factor of 143 and h. 13 Let n(l) = l**2 - 14*l + 25. Let u be n(17). Suppose 0 = -4*c - 16 + u. Let p = 12 + -2. Calculate the greatest common divisor of p and c. 5 Suppose -8*x + 5*x = 0. Suppose 4*p + 24 = 4*g, -5*p - 5 = -x. Suppose g*a - 12 = -k, 0 = k + 2*a - 3 - 3. Calculate the greatest common factor of k and 1. 1 Suppose -3*i = 5*d - 225 + 69, 208 = 4*i + d. Calculate the greatest common factor of 403 and i. 13 Let u(a) = -a + 13. Let g be (-14)/(-1 + 0 - -3). Let p be u(g). Calculate the highest common divisor of 50 and p. 10 Let o(j) = 3*j - 39. Let v be o(22). Suppose -22 - v = -7*b. What is the highest common factor of 63 and b? 7 Let a(q) = q**2 + 2*q - 5. Let b be a(3). Let t be 28/5 + b/25. Suppose -t + 0 = -3*r. Calculate the highest common factor of 5 and r. 1 Let l be 16 + 1 - (-8)/2. Let m = l - 0. Suppose 2*u - 5*o = 3*u - 17, 4*o = -5*u + 43. What is the highest common factor of u and m? 7 Let b(c) be the first derivative of -c**4/4 + 5*c**3 - 13*c**2/2 + 15. Let q be b(14). Calculate the greatest common factor of q and 35. 7 Suppose 0 = -k - 4*k + 70. Suppose -10*z + k*z = 60. Calculate the highest common divisor of z and 15. 15 Let m be (21 + -22)*(-62)/(2/2). What is the greatest common factor of 1178 and m? 62 Let c(q) = 11*q**2 - 1 + 3 + q**3 - 49*q + 38*q. Let y be c(-6). Calculate the highest common factor of y and 31. 31 Suppose 0 = 141*g - 16770 + 2106. Calculate the greatest common divisor of 1066 and g. 26 Suppose -4*c - 5032 = -15*d + 12*d, 4*c + 8392 = 5*d. What is the greatest common factor of 120 and d? 120 Let l be 38/6 - ((-155)/(-15) - 10). Calculate the highest common factor of l and 21. 3 Let b be ((-7)/3)/(3/(-126)). Suppose 227 = 5*m - b. Suppose 0 = 2*r - 3*t + t - 46, r - 5*t = 11. What is the greatest common factor of m and r? 13 Let i be 12/((-395)/(-190) - 2). Suppose i = 6*j - 2*j. Suppose -105 = -5*b - 10. What is the greatest common divisor of b and j? 19 Let y(u) = -2*u + 2. Let c be y(0). Suppose 5*m - 20 = 0, c*m = -2*d + 13 + 33. What is the highest common divisor of 133 and d? 19 Suppose -7*s + 4*a - 141 = -12*s, -2*s = 4*a - 54. Calculate the greatest common factor of s and 406. 29 Let q be (-48)/216 - (-508)/18. What is the greatest common divisor of 1204 and q? 28 Let c(b) = -b + 1. Let p be c(-8). Let t be (p + -5)/(8/28). Calculate the greatest common factor of 56 and t. 14 Suppose -4*z = -3*z. Suppose z = -55*t + 51*t + 132. Calculate the highest common factor of t and 3. 3 Let x(w) = w**2 + 11. Suppose 2 + 1 = p. Suppose 2*t - 10 = -p*a, -6*a + 5*a - 2*t = -10. Let d be x(a). What is the highest common factor of d and 1? 1 Suppose -3*n - 252 = 5*t, -4*t - 227 = 4*n + 101. Let d = n + 139. Let q be (-358)/(-9) + 4/18. Calculate the highest common divisor of d and q. 20 Let v(x) = -1 - 22*x + 15*x - 2. Let a be v(-2). What is the greatest common divisor of 33 and a? 11 Let k = -127 + 149. Calculate the greatest common factor of k and 11. 11 Let k be ((-40)/(-3))/(58/261). Calculate the highest common divisor of 780 and k. 60 Let j be 27/((-5)/(-4)*(-84)/(-70)). Calculate the highest common divisor of 24 and j. 6 Suppose 2*q + 4*y = -44, 2*q + 3*y = -3*q - 89. Let n be (-3186)/(-10) - q/40. Let k be 2 + 4/((-8)/(-54)). What is the highest common factor of n and k? 29 Suppose 26620 = 23*i + 21*i. What is the highest common divisor of i and 15? 5 Suppose -32 = 5*r + 13. Let f = r + 9. Suppose 3*l + f*l - 312 = 0. Calculate the greatest common divisor of l and 13. 13 Suppose 14963 + 12549 = 38*k. Calculate the highest common factor of 4 and k. 4 Let x(v) = -v + 45. Let q be x(28). Calculate the greatest common divisor of q and 289. 17 Let n be 14/((-4)/(-70)*85/68). What is the greatest common factor of n and 4? 4 Suppose -416 = 7*t - 11*t. Calculate the highest common factor of 4 and t. 4 Let l = 6 + 15. Let m = -308 + 329. Calculate the highest common divisor of l and m. 21 Let h be (252/(-60)*-1)/(1/30). Calculate the greatest common divisor of h and 54. 18 Let y = 6740 + -6735. Let w = 13 - 8. What is the greatest common factor of y and w? 5 Suppose 5*h + 20 = 0, 5*h - 140 = 2*g - 7*g. Let y = 533 - 293. Suppose -3*k + 0*k = -y. Calculate the greatest common divisor of g and k. 16 Suppose 1661 = 24*z - 3619. Calculate the highest common divisor of 80 and z. 20 Suppose -3*d = 4*n - 20, 0*d = 2*d - 2*n + 10. Let j be (5 - -20)/(3 - (2 + d)). What is the greatest common divisor of j and 25? 25 Let x(m) = -m**2 - 18*m + 15. Let w be x(-17). Suppose -2*q - 58 = -2*r - 0*q, r - w = -2*q. What is the highest common divisor of 12 and r? 6 Let b(q) = -q + 5. Let a be b(4). Let r(h) = 4*h**2 - a - h**2 + 35*h - 39*h. Let f be r(3). What is the highest common divisor of 126 and f? 14 Suppose 0 = 5*l - 25. Let h = 38 + -36. Calculate the greatest common factor of l and h. 1 Let n = 854 + -1244. Let o be (n/4)/((-17)/34). Calculate the highest common factor of 15 and o. 15 Suppose 0 = -27*s +
{ "pile_set_name": "DM Mathematics" }
t r be 2/(-12) + 21/c. Suppose 4*p - 4 = -5*j, 2*j + r*j + 2 = 2*p. Let g(a) = 24*a. Calculate g(p). 24 Let o = 175 + 7. Let g = 175 - o. Let b(m) = -m**2 - 8*m + 5. Calculate b(g). 12 Let l(q) = q**3 - 3*q**2 + 2*q + 2. Let b be l(3). Suppose 8*r + b = 10*r. Let f(s) = -2*s**2 + s**3 - r + 20*s - 18*s + 0*s**2. Give f(3). 11 Let i(k) = -2*k**3 - 4*k**2 - 3. Let q be 6/(-3)*(-21)/6. Let s be (-2)/q - (-80)/(-14). Let d be ((-8)/(-12))/(s/27). Give i(d). 15 Let x(q) = -20*q**2 - 39*q + 88. Let l(t) = 7*t**2 + 13*t - 30. Let i(h) = 17*l(h) + 6*x(h). Determine i(-15). -12 Let l(k) = 24*k - 37. Let a = 646 + -644. Calculate l(a). 11 Let t(v) = v + 15. Suppose 93*m + 160 = 94*m. Let x = -168 + m. Determine t(x). 7 Let g = -41 - -1623. Suppose g*q = 1590*q + 8. Let u(y) = -13*y**2 + 5*y - 8. Let j(p) = -9*p**2 + 3*p - 5. Let c(n) = -8*j(n) + 5*u(n). Calculate c(q). 6 Let k(c) = -c**2 - 17*c - 8. Let w(f) = -4*f + 12. Let a be w(7). Calculate k(a). 8 Suppose f - 3*a - 15 = 0, 2*f = 6*f + 3*a. Let q = -1 - f. Let n(y) be the first derivative of y**3/3 + 3*y**2/2 - 3*y + 40. What is n(q)? 1 Suppose 455*t + 473*t - 1082*t + 308 = 0. Let k(h) = -4*h - 6 - h**3 + h**2 + 5 + 2*h. Give k(t). -9 Let r(h) = 18*h - 6. Let o(d) = d**3 + 33*d**2 + 60*d - 62. Let t be o(-31). Give r(t). -6 Let w(s) = s**3 - 24*s**2 + 12*s + 247. Let x be w(23). Let b(v) = v**3 + 5*v**2 - 7*v - 9. Calculate b(x). -3 Suppose -a - 4*a - 4 = 2*y, -y + 9 = -3*a. Let h(v) = -3*v**2 - 73*v**3 + 74*v**3 + 13*v - y - 15*v. What is h(4)? 5 Let i = -30829 + 30822. Let z(t) = -3*t**2 - 7*t - 3. Let j(a) = 13*a**2 + 28*a + 12. Let d(b) = 2*j(b) + 9*z(b). Give d(i). -3 Let c(z) = -5*z**3 - 184*z**2 + 8*z - 31. Let u(s) = s**3 + 34*s**2 - s + 6. Let o(p) = 2*c(p) + 11*u(p). What is o(-2)? 10 Let r(x) = -4*x - 6. Suppose g + 3*g + z - 285 = 0, -5*g = -5*z - 375. Let f = g - 78. Give r(f). 18 Let p(q) = -2*q**3 - q**2 + 6*q - 8. Suppose 0 = -x + 4*n - 2, -5*x + 3*n = 570 - 577. Give p(x). -16 Let a(n) be the second derivative of -n**3/3 - 3*n**2/2 - 555*n. Determine a(0). -3 Let q(v) = 12*v**2 - 61*v. Suppose 39 = 3*g + 4*f + 12, -2*f = 4*g - 26. Give q(g). -5 Let n(m) be the third derivative of m**6/120 - m**5/60 + m**4/24 + 7*m**3 + 380*m**2 - 2*m. Determine n(0). 42 Let o(z) = 0*z - 5 - z + 39*z**2 - 22*z**2 - 18*z**2. What is o(-5)? -25 Suppose -l = -7 + 107. Let n be l/45 - (-4)/18. Let v(g) = -6*g**2 - 3*g - 3. Calculate v(n). -21 Let s(r) = -r**2 + 3*r - 2. Let z be 150/(-54) - -7 - 4/18. Give s(z). -6 Let r = -90 - -92. Let s(p) be the first derivative of 5/2*p**r + 16 - p + 1/3*p**3. What is s(-5)? -1 Suppose -20*q + 133 = -24*q - 15*q. Let v(c) = c**2 + 2*c - 8. Give v(q). 27 Let y(u) be the second derivative of 1/6*u**3 + 0 + 7*u + 12*u**2. Calculate y(-11). 13 Suppose -3*p + 2*z - 14 = -4, 12 = -3*z. Let y be (-2)/p*924/28. Suppose 0 = -5*k - 3*f - 3 + y, -k = -f. Let x(r) = -11*r**3 + 2*r - 1. What is x(k)? -10 Let o(q) = -6*q - 4. Suppose -3*x = -8 - 10. Let r(p) = -4*p - 3. Let m(n) = x*r(n) - 5*o(n). Give m(3). 20 Let j(n) = n**3 - 5*n**2 + 10*n - 10. Let b be j(3). Let p(k) = 68*k**3 - 67*k**3 - 6*k**2 + 0*k**2 - 3*k + 3 + k**b. Calculate p(5). -12 Let g be -2*5/20 + 72/(-16). Let r(b) = b**3 + 7*b**2 + 8*b. Give r(g). 10 Let q(i) = 207*i - 421. Let o = -23417 + 23419. What is q(o)? -7 Suppose 749*s = 707*s + 966. Let v(o) = o**2 - 15*o - 173. What is v(s)? 11 Let d(w) = -2*w**3 - 14*w**2 - w - 9. Let x be d(-7). Let g(p) = -16*p**2. Calculate g(x). -64 Let s(w) be the third derivative of 0*w**5 + 1/8*w**4 + 1/120*w**6 + 0*w + 1 - 5/6*w**3 + 187*w**2. Determine s(2). 9 Let s(g) = -g - 11. Suppose 0 = -x + 2*r, x + 2*x + r = 14. Suppose -x*f - 28 = 4*a, a + 1 = f - 14. Give s(a). 0 Let n be 2*6/18*(3 - 0). Let m be (58/(-29))/(n/(-11)). Let t(r) = -r + 11. What is t(m)? 0 Let t be (-1371)/(-37) + 2/(-37). Let g(r) = r**2 - 35*r - 77. What is g(t)? -3 Let z(v) be the first derivative of v**6/360 + v**5/30 + v**4/4 - v**3 + v**2/2 - 20. Let a(c) be the third derivative of z(c). Give a(-4). 6 Suppose 293*i = -209*i + 16566. Let q(j) = -j + 36. What is q(i)? 3 Let q(a) = 2*a - a + 203 + 149 - 346 - 6*a**2. Give q(-2). -20 Let j(k) be the second derivative of k**3/2 - 14*k**2 + 839*k - 3. Give j(17). 23 Let l(d) = -d**2 + 14*d + 2. Suppose 123*b - 123 = 1476. What is l(b)? 15 Let j(w) = 4*w - 72. Suppose 132*o - 131*o - 19 = 0. What is j(o)? 4 Let a(h) = h**2 + 8*h + 19. Suppose 20*r - 30*r = -21*r - 44. What is a(r)? 3 Let q(u) = -81*u**2 - 58*u - 68. Let v(d) = -25*d**2 - 19*d - 23. Let w(z) = -4*q(z) + 13*v(z). Calculate w(-13). -1 Let d(f) = -9*f + 146. Let x(r) = 140*r - 2261. Let b(g) = -77*d(g) - 5*x(g). Calculate b(8). 7 Let k(u) = 4*u + 2. Let s(d) = d + 6 - 3 - 5*d - 4*d + 7*d. Let z(a) = k(a) + 2*s(a). Calculate z(-6). -4 Let j(w) be the second derivative of -w**4/12 - 11*w**2 - 885*w. Calculate j(0). -22 Let v(s) = 45*s + 55. Suppose q - 17*q = -13*q + 3. Determine v(q). 10 Let s(b) = 10*b**2 + 31*b + 91. Let o(y) = 7*y**2 + 19*y + 60. Let c(f) = 7*o(f) - 5*s(f). What is c(-18)? 37 Let r(a) = a**2 + 44*a - 141. Let j be r(-47). Let f(p) = -p**2 - 7*p + 16. Let w(v) = -v**2 - 8*v + 16. Let n(z) = 7*f(z) - 6*w(z). Calculate n(j). 16 Let g(r) = -r - 2. Let u(o) = -2*o + 13. Let d be u(9). Let x be d/(-10)*-6 - -6. What is g(x)? -5 Let u be (-6)/10 - 1698/(-30). Let r = -52 + u. Let p(t) = 0*t - t**2 + r*t + t. Determine p(6). -6 Let a(g) = -3*g**3 + 12*g + 12. Suppose -59*j + 68*j + 9 = 0. Give a(j). 3 Let d(n) = -3*n**2 - 7*n + 2. Let c = -4 - -2. Let h(j) = -16*j**2 - 36*j + 9. Let z(f) = c*h(f) + 11*d(f). Calculate z(3). -20 Let n(u) = 2*u**2 - 20*u + 11. Let z be ((-39)/2)/(348/(-232)). Calculate n(z). 89 Let n be 10/(-20) - (-9)/2. Suppose 5 = -n*c + 21. Let w(b) be the first derivative of -3*b**2/2 + 4*b - 1562. Give w(c). -8 Let n = -19 - -20. Let h(u) = -23*u - 20. Let o(k) = k + 21. Let j(z) = -h(z) - o(z). Calculate j(n). 21 Let p(d) be the first derivative of -d**4/4 - d**3 + 3*d**2/2 + 2. Let i be (-2976)/27 - 44/(-198). Let n = -113 - i. Calculate p(n). -9 Let u = -4418 - -4416. Let z(g) = -2*g**3 + 2*g**2 + 5*g + 2. What is z(u)? 16 Let n(o) = 11*o + 131. Suppose 5*h + 2*c = -52, -h + 4*c - 2*c = 20. What is n(h)? -1 Let o(r) = -4*r**2 + 10*r - 6. Let p = -107 - -109. Let u be o(p). Let l(t) = -5*t + 1. Determine l(u). 11 Let w(g) = 149. Let c(i) = -2*i + 144. Let s(x) = -5*c(x) + 6*w(x). What is s(-17)? 4 Let t(o) = 2*o**3 - 12*o**2 - o - 2. Let f be t(6). Let m be 1/(-1) - 24/f. Let d(p) = 3*p - 3 - 9*p - 2*p**2 + m*p + p. Determine d(-3). -12 Let q(n) = -n**3 - 6*n**2 - n - 2. Let c(z) = -5*z**3 - 33*z**2 - 12*z + 11. Let r(g) = -c(g) + 6*q(g). Determine r(-6). 49 Let p(u) = -14*u**3 + 1. Suppose 74*f + 149 = -75*f. What is p(f)? 15 Let i(x) = x - 22. Let l be i(21). Let n be (-3)/(l/(-8)*12). Let z(v) = -15*v - 1. Determine z(n). 29 Let d(i) be the third derivative of -i**6/120 - 3*i**5/20 - i**4/12 + i**3/6 - 1422*i**2. Determine d(-8). -47 Let w(b) be the third derivative of -5/6*b**3 - 20*b**2 + 0 + 0*b**4 - 1/120*b**5 + 0*b. Let n(g) be the first derivative of w(g). Calculate n(6). -6 Let g(y) = 94862*y**2 - 94863*y**2 - 35*y - 6 + 12*y. Calculate g(-22). 16 Suppose -2*v + 3*k = 1, 2*k - 7 = 2*v - 3*k. Let q(j) = j - v*j + 2*j + 2*j - 7 + j**2. Determine q(4). 13 Let o(l) = -43*l**3 - 81*l**2 - 7*l - 147. Let v(y) = 16*y**3 + 28*y**2 + 2*y + 49. Let b(c) = -3*o(c) - 8*v(c). Calculate b(-19). -46 Let z(d) = -193*d - 217*d + 413*d + 7. Calculate z(4). 19 Let w(v) = 4*v**2 + 5 + 4 + 6 + 5*v**3 - 6*v - 16 - 4*v**3. Calculate w(-6). -37 Suppose x = 4*a - 10, 5 + 0 = 3*a - 2*x. Suppose 0 = 3*i + 3*v - 39 - 36, 51 = 2*i + a*v. Suppose -13*z = -7*z + i. Let k(b) = -b + 1. Calculate k(z). 5 Let y(m) = m**2 - 5*m + 6. Let p be 5 + (-308)/60 - (-8)/60. Suppose p = 84*z - 95*z + 66. What is y(z)? 12 Let o(v) = 8472*v + 3 + 0 - 8473*v. Determine o(-6). 9 Suppose 5*x + 5*d = 0, -3*x + x - 14 = -5*d. Let m be x/(-8) + (-408)/96. Let z(q) = 9*q**2 - 3*q**2 - 4*q**2 + 5 - 4*q - 4*q**2. What is z(m)? -11 Let t = -1944 + 1941. Let a(i) = -13*i - 29. Give a(t). 10 Let y(c) be the second derivative of c**3/3 + 3*c**2/2 - 2*c. Suppose -18615 - 2472 = 33*f. Let p = f - -63
{ "pile_set_name": "DM Mathematics" }
-3 Let j = 2946 - 2944. Solve 833 - 841 = j*k for k. -4 Let o be (-1)/6 + 4907*75/630. Solve 4*f = o - 588 for f. -1 Suppose -170*v = -171*v + 4. Suppose -3 = 12*d - 195. Solve 3*q - v = -d for q. -4 Let w(g) = -14*g**2 - 13*g + 93. Let r be w(5). Let v = r - -327. Solve 12 = v*u - 8 for u. 4 Suppose 6 = -4*f + 3*k + 107, -57 = -2*f - 5*k. Let r = -26 + f. Let t = 13 - 3. Solve 0*m - 2*m - t = r for m. -5 Suppose -y - 47 = -3*l, -3*y - 62 = -3*l + y. Let h = l + -10. Suppose 9 = -2*q - 4*i - 1, 16 = -h*i. Solve -n - 1 = q for n. -4 Let a(n) = 2*n**2 + 7*n - 33. Let w be a(-10). Suppose w*r - 101*r = -56. Solve 9*x = r*x + 25 for x. -5 Let t(g) = g**2 + 2*g + 8. Let r be t(-7). Let f = r + -41. Let z = -121 + 125. Solve f = -z*x - 10 for x. -3 Let z = -47 + 47. Let r(b) = 0*b - 7 + 3*b**3 - 8*b + 10*b**2 - b**3 - 3*b**3. Let t be r(9). Solve z = -4*h - 2 - t for h. -1 Suppose 0 = 2*i - z, 3*z - 13 = -5*i - z. Let a be (-145)/(-3) + i/(-3). Suppose -9*c - a = -21*c. Solve -5*l = -c*l for l. 0 Suppose 0 = -5*l + 156 - 181, -4*z - 4*l + 436 = 0. Solve -108 + z = 3*p for p. 2 Suppose 3*t - 3*u + 2 = 8, -4*u + 13 = 3*t. Suppose h = -d - t, -7 = -2*d - 4*h - 21. Solve -14 - d = 5*j for j. -3 Let i = -11991 - -12049. Solve -42 = -i*n + 65*n for n. -6 Suppose -92*y = -96*y - 412. Let w = -103 - y. Solve 2*a - 6 + 2 = w for a. 2 Let a(b) = -36*b. Let y be a(-6). Let w = y - 212. Solve w*v = 5 + 3 for v. 2 Suppose 14*u = 10*u + 428. Suppose -23*n + 31 = -u. Solve y = 4*y - n for y. 2 Suppose 4*z + 2*t - 70 = 0, z - 6*z = -5*t - 80. Suppose 0 = -3*p - 8 + z. Suppose 7 = p*l - 14. Solve 3*f + 12 = l*f for f. 3 Suppose -6*p + 748 = 472. Solve 0 = -35*k + p*k + 11 for k. -1 Suppose 25*f - 5*f = 746 + 714. Solve -f + 55 = 3*o for o. -6 Suppose 0 = -3*c + 12 - 33, -3*y = -2*c - 122. Solve y*a + 125 = -91 for a. -6 Suppose 460 = 3*i + 2*i. Let w = i + -85. Suppose -4*f + w*f - 15 = 0. Solve 5*x + f = -0*x for x. -1 Let m be 26 - (-5 + 2 + 6 - 3). Suppose 0 = 3*a - 5*k - m - 12, -3*k = -a + 6. Solve 0 = -23*h + a*h - 2 for h. -1 Suppose -j + 0*z - 6 = 3*z, -2*z = -j + 4. Solve j = 2*x + 6*x - 32 for x. 4 Let j = 20 + -6. Let p = 7 - j. Let t be 1*-2 - (p + 5). Solve -2*a + 0*a = t for a. 0 Suppose -101*j = -75*j - 156. Solve 8 = -4*v + j*v for v. 4 Suppose 14*h + 5*h - 48 = -5*h. Let a = -4 + 7. Solve -a*r = -5*r - h for r. -1 Let w = -708 - -1467. Let x = 769 - w. Solve -x = 67*o - 65*o for o. -5 Let b be 1885/116 + (-2)/8. Suppose -o - 23 = -m, 12*o + 88 = 5*m + 16*o. Solve 12*n + m = b*n for n. 5 Suppose 0 = -4*d - 2*h + 6, -d - 4*h - 2 = -0. Suppose -5*q = -3*v + 10 + 11, q - 1 = -d*v. Solve -s = v + 1 for s. -3 Suppose -15463 = -220*z - 1823. Solve z*q + 77 = -171 for q. -4 Suppose -382*r + 6601 - 319 = -4414. Solve r*o = -10*o for o. 0 Suppose 0*y + 8 = 4*y. Let w(d) = -d**3 + 7*d**2 + 562*d - 4432. Let q be w(8). Solve -5*c - y - 3 = q for c. -1 Let c be (-3 - -25) + -20 + 5/((-10)/4). Solve c = -3*q - 111 + 102 for q. -3 Suppose -7*t - 17 + 11 = -55. Solve t*w + 10 = -39 for w. -7 Let g be (-4)/12 + 25/3. Let r(m) = -m**3 + 5*m**2 + 5*m + 11. Let i be r(6). Suppose o = g - i. Solve 2*s = -o*s for s. 0 Suppose -m - 11 = -14, -4*f = 4*m - 28. Suppose -52 = -24*s + 188. Solve -f*h = -s - 10 for h. 5 Suppose -5*a + a + 3*g = 198, 0 = 5*a + 4*g + 232. Let x be 5 + -1 + (a/(-2) - 5). Solve -19*k + x*k = 0 for k. 0 Let p(l) = -317*l**2 - 9*l - 8. Let s be p(-1). Let z = 319 + s. Solve 3*b + z*b = -6 for b. -1 Let a be 33/(-30)*4*-5. Suppose 5*g - a = 7*g. Let m be 10/(-55) + (-24)/g. Solve p = -p + m for p. 1 Suppose -3*d = -3*t - 42, 4*d + 3*t = 6*d - 28. Solve 20*i - 54 + d = 0 for i. 2 Let c(d) = -2*d**3 - 9*d**2 - 9*d + 6. Let k be c(-2). Suppose -4*v = -k*h + 16, 0*v + 4*v + 20 = 5*h. Solve v*a + 3*a = 12 for a. 4 Suppose 4*x + 32 = -4*l, 4*x = -2*l - 47 + 13. Let w be (0 - -1)/(x/(-18)) - 2. Suppose -4*o = -j - 7, w = -3*o - 2*j - 0 + 8. Solve -o*s = 3*s for s. 0 Let q = 1658 - 1662. Let a(j) be the third derivative of -j**6/120 - j**5/15 - j**4/6 - 5*j**3/6 - 2*j**2. Let r be a(q). Solve r*c - 8*c - 15 = 0 for c. 5 Let a be (-8)/(-20) - 24/(-15). Suppose -5*n = 3*k + 7, a*n + 3*n - 4*k = 21. Let p be 4/(5 - (n + 2)). Solve 0*j = p*j + 10 for j. -5 Suppose 1890 - 2791 = 11*k - 28*k. Solve -k = 36*b + 19 for b. -2 Let w(c) = 3*c**3 + 30*c**2 + 4*c + 50. Let m be w(-10). Solve 3*z - m - 2 = 0 for z. 4 Suppose -2*q = q - q - 90. Solve 55 = -50*c - q for c. -2 Suppose -5*u = -20, -3*u - 11 - 33 = -4*s. Let t be (160/70)/8 + 24/s. Solve 2*i = -t + 4 for i. 1 Let b = 68 + -42. Suppose -4*k + 5*y = -b - 6, 2*k + 3*y = 16. Suppose 0 = -4*j - k, 2*j = -t + 2*t - 10. Solve -o - 2*o + t = 0 for o. 2 Let l(r) = -r**2 + 81*r - 253. Let m be l(73). Solve -333*o - 8 = -m*o for o. -4 Let m be 7*((-6)/(-3) + 190/(-70)*-1). Solve 4*b - 17 = -m for b. -4 Let d(u) = 3*u**2 - 6*u + 317. Let s be d(0). Suppose s + 259 = 24*f. Solve -2*g - f = 6*g for g. -3 Suppose -119*w + 60 = -122*w. Let r be (-16)/w*(-6 + 11). Solve 0 = -r*m + 9*m - 10 for m. 2 Suppose -107*h - 1439 = -1546. Solve -h = 58*g - 57*g for g. -1 Suppose 3*s + 562 = 1699. Let i = -379 + s. Solve -3*d + 3 = -i for d. 1 Let d(v) = -v**2 - 2*v + 4. Let p be d(0). Suppose 5*i - 4 + p = 0. Let w be 0/(1*(i - -1)*-2). Solve w = h + 5 for h. -5 Suppose -32 = -10*d + 18. Let v(p) = -14*p + 97. Let r be v(d). Solve -3*u - 24 = -r for u. 1 Let d(q) = -q**3 + q**2 + 121*q + 594. Let b be d(-5). Solve -147*v + b*v - 56 = 0 for v. -7 Let f(a) = -343*a + 821. Let u be f(2). Solve 26*w - u = -w for w. 5 Suppose 39*w = 45*w - 486. Let x be (-56)/(-9) + (-18)/w*1. Solve 5*r - 11*r = x for r. -1 Let b be (32/6 - 5)/(2/12). Suppose 2*y + 32 = -2*i - 2*y, -5*y - 61 = 4*i. Let v be (6/(-5))/(i/35). Solve v*j - b*j = 0 for j. 0 Let q = -1530 + 1604. Solve -11*n + q = 140 for n. -6 Suppose 3*b = 5*y - 1556 + 542, -y - 3*b = -210. Solve 3*a = -48*a + y for a. 4 Suppose 6798 = 566*f - 360*f. Solve f*h - 414 = -36*h for h. 6 Suppose -2*k = 2*k. Suppose k = 4*g - 5*g. Suppose -117*y - 293 = -644. Solve g = -z + y*z - 4 for z. 2 Let a(d) = -89 - 36 - 44 - 1 - 22*d - 25. Let v be a(-9). Solve v*r - 10 = r for r. 5 Suppose 2*v = 3*d - 14 - 17, 0 = v + d + 3. Let x(k) = k**2 + 7*k - 6. Let z be x(v). Let i be (9 - z)*4/(12/3). Solve 4*t - i*t - 9 = 0 for t. -3 Let t be (-39)/(-15) + (-16)/(-40). Suppose -r = 0, -t*j + 25 = 2*j + r. Suppose -m - 2*m + 6 = 0, 3*m = j*v + 6. Solve v = -6*w + w - 10 for w. -2 Let x(h) = -h**3 - 7*h**2 + 6*h + 19. Let q be -3*(-2 - (-70)/15). Let l be x(q). Solve -l = 6*w + w for w. -5 Let u be (-1)/(2 + 10/(-4)). Suppose -40 = -2*t + 5*h, -3*t + 12 = -t + u*h. Suppose -t = 6*b - 11*b. Solve -5*s = -b*s - 3 for s. 1 Let t(a) = 4*a - 123. Let o(v) = 3*v**3 - 7*v**2 + 8*v - 9. Let j be o(3). Let p be t(j). Solve 2*f = -7 + p for f. 1 Let g be ((-295)/118)/((-5)/44) - 42/6. Solve -g + 1 = -14*n for n. 1 Let r be 36/(-30) - (-8)/(-10). Let k = 21 - 21. Let a be 0/(k - r - (-10 - -13)). Solve -o - o - 10 = a for o. -5 Suppose 4*l - 5*s = 32, l + 2*s = s - 1. Suppose 4*i + 195 = -17. Let h = -53 - i. Solve h = -l*n - 6 + 3 for n. -1 Let h = 8497 - 7906. Solve 585*a - h*a - 6 = 0 for a. -1 Suppose -17*p - 31*p = 0. Let w(j) = j**3 + 13*j**2 - 3*j - 16. Let d be w(-13). Solve -22*k + d*k - 2 = p for k. 2 Let d = 586 + -559. Solve -21 = -3*w - d for w. -2 Let p be 12*(0 - (-3 + 1)). Suppose 0 = v + 3*v - p. Let u(y) = y**3 - 14*y**2 - 94*y - 17. Let g be u(19). Solve v*d = g*d + 16 for d. 4 Let k(q) = 3*q**2 + 4*q + 3. Let i be k(-2). Suppose -2*r = 5*x - 9, -x + 7 = -5*r - 11. Suppose -i*u = -2*u + 3*h - 7, x = u - h. Solve -4 - 6 = -u*s for s. 5 Let n be (-244 - -231)*(-82)/13. Solve n = 24*z - 86 for z. 7 Suppose -q + 5*h = -27, -5*q - 2*h = -0*h. Suppose -2*t - 6 = 0, q*x - 3*t = 19 - 2. Suppose -4*d = 2*n - 49 - 7, 2*d = 5*n + 40. Solve -d = -x*j + j for j. 5 Let k be 8/6*(-6)/(-4). Let y = -8 + 14. Suppose y*m - 5 = 67. Solve k*o + o = m for o. 4 Suppose 238*c - 233*c - 95 = 0. Solve -c*g + 10*g = 0 for g. 0 Suppose -3*p = -3*m - p + 52, 5*m - 88 = 2*p. Solve -6*h + m*h = -18*h for h. 0 Let i = -1276 - -1282. Solve 9*m - 45 = -i*m for m. 3 Suppose -68 + 61 = -15*j + 248. Solve -6*w - j = 31 for w. -8 Let v(t) =
{ "pile_set_name": "DM Mathematics" }
1 for d. 3 Solve -1007 = -9*i - 1079 for i. -8 Solve 16*a + 36 = 34*a for a. 2 Solve -2*b = -8 + 2 for b. 3 Solve 1 + 5 = -3*l for l. -2 Solve 17*n + 3*n - 40 = 0 for n. 2 Solve 0 = -16*g - 53 + 117 for g. 4 Solve 9*b + 9 = 12*b for b. 3 Solve -163*q = 882 + 748 for q. -10 Solve 56*l = 10 + 158 for l. 3 Solve -10959 + 10962 = m for m. 3 Solve 75*n - 12 = 81*n for n. -2 Solve 6*i = 25*i - 114 for i. 6 Solve 6*a - 3 - 3 = 0 for a. 1 Solve 38 = -2*l + 32 for l. -3 Solve 5*p + 105 = -10*p for p. -7 Solve 16*p = 25*p for p. 0 Solve 22*v = 17*v - 25 for v. -5 Solve -3*v - 18 + 6 = 0 for v. -4 Solve -7*r - 28 = -56 for r. 4 Solve -25*i + 251 = 76 for i. 7 Solve -54 = 551*t - 542*t for t. -6 Solve -259*a + 249*a = -10 for a. 1 Solve 4*j = 40*j + 216 for j. -6 Solve 0 = 4*c - 0*c + 4 for c. -1 Solve -85 = -10*r - 35 for r. 5 Solve 26*z - 18*z - 16 = 0 for z. 2 Solve -11*g = -8*g + 6 for g. -2 Solve -41 = 3*a - 56 for a. 5 Solve 20*p - 24 = 12*p for p. 3 Solve 66 = -22*z + 88 for z. 1 Solve 0 = -89*m + 21*m for m. 0 Solve 4*v - 18 = -2*v for v. 3 Solve -181 = -3*d - 190 for d. -3 Solve 0 = o + 952 - 950 for o. -2 Solve 5310*j - 5315*j = 10 for j. -2 Solve -5*c = -10*c - 5 for c. -1 Solve 52*t + 60 = 22*t for t. -2 Solve 7*x - 6 = 1 for x. 1 Solve -49 - 41 = -15*p for p. 6 Solve 15*z - 20*z = 30 for z. -6 Solve 2*y + 314 = 316 for y. 1 Solve 0 = -a - 5*a - 24 for a. -4 Solve -18*p + 16*p - 8 = 0 for p. -4 Solve -30*x - 40 = -38*x for x. 5 Solve 11*c = 14*c for c. 0 Solve 2*u + 27 - 25 = 0 for u. -1 Solve 16*t + 3*t = -76 for t. -4 Solve -7 = -8*p + p for p. 1 Solve 11*o - 95 = -205 for o. -10 Solve 6*r = -4*r - 4*r for r. 0 Solve 3*u + 7*u - 2*u = 0 for u. 0 Solve -5*s + 34 - 19 = 0 for s. 3 Solve -3*t - 12 = -0*t for t. -4 Solve 7*f + 10*f + 51 = 0 for f. -3 Solve -1 = -114*v + 113*v for v. 1 Solve -17 = 22*l + 49 for l. -3 Solve 2*j + 74 = 54 for j. -10 Solve 3*n = -22 + 31 for n. 3 Solve 1 = -4*d + 13 for d. 3 Solve 47*z + 36 = -199 for z. -5 Solve 7*d = -19 + 5 for d. -2 Solve 561*q = 593*q + 256 for q. -8 Solve -1596 = -3*h - 1575 for h. 7 Solve 7*i + 1 = 22 for i. 3 Solve 0 = -5*q - 9 + 4 for q. -1 Solve 207 - 222 = -3*u for u. 5 Solve 5*q - 148 = -143 for q. 1 Solve 6*b - 10*b = 0 for b. 0 Solve 4*o + 6 + 6 = 0 for o. -3 Solve 4*p + 114 = 134 for p. 5 Solve 93 = -19*t - 21 for t. -6 Solve 46*a + 121 - 489 = 0 for a. 8 Solve -20*h + 161 - 1 = 0 for h. 8 Solve 125 = -4*w + 129 for w. 1 Solve w + 256 - 256 = 0 for w. 0 Solve 8 = -5*l - 3*l for l. -1 Solve -5 = -3*s + 7 for s. 4 Solve -47*b - 30*b = 616 for b. -8 Solve 18*i + 13 = 85 for i. 4 Solve 7*b + 4513 - 4513 = 0 for b. 0 Solve -121*n + 8 = -113*n for n. 1 Solve -2*k - 1276 = -1276 for k. 0 Solve -68 = 4*v - 88 for v. 5 Solve 33*v = 40*v - 14 for v. 2 Solve -34 + 74 = 5*x for x. 8 Solve 106 + 34 = 28*v for v. 5 Solve -b - 430 = -433 for b. 3 Solve 0 = -14*j + 17 + 25 for j. 3 Solve 0 = -6*v - 15 - 3 for v. -3 Solve 2*w - 3*w + 6*w = 0 for w. 0 Solve 16*d + 3 = -45 for d. -3 Solve 0 = -11*l - 38 + 16 for l. -2 Solve -8*u + 2 = -7*u for u. 2 Solve -4*b - 9 = 19 for b. -7 Solve 7*u - 24 + 10 = 0 for u. 2 Solve -5*n + 17 = 12 for n. 1 Solve -11*u - 105 = 10*u for u. -5 Solve -5*z + 12 = -8 for z. 4 Solve -471*r + 453*r = 0 for r. 0 Solve 3 = -3126*r + 3127*r for r. 3 Solve -52*x - 5 = -51*x for x. -5 Solve 0 = 10*d + 8 - 28 for d. 2 Solve 3*p - 14*p = -55 for p. 5 Solve -66 + 54 = -4*p for p. 3 Solve 10*x + 1721 - 1811 = 0 for x. 9 Solve 0 = 4*g - 10*g + 30 for g. 5 Solve -2608 + 2583 = -5*w for w. 5 Solve -73*q - 166 - 126 = 0 for q. -4 Solve -3401*p = -3391*p + 30 for p. -3 Solve -14*m + 2 - 2 = 0 for m. 0 Solve c = 2*c - 0*c for c. 0 Solve 0 = -o - 3 - 0 for o. -3 Solve 81*t - 58*t = 23 for t. 1 Solve -15*w + 4079 = 4049 for w. 2 Solve 21*i = 36*i - 60 for i. 4 Solve -9*m + 8*m + 1 = 0 for m. 1 Solve 3*k + 128 = 146 for k. 6 Solve 5*k + 2 = 27 for k. 5 Solve -57*r + 41*r - 48 = 0 for r. -3 Solve 10 = -3*x + x for x. -5 Solve 18 = -m + 23 for m. 5 Solve -2*t = 27 - 31 for t. 2 Solve -13*a + 8*a = -20 for a. 4 Solve 7*t - 6 = 10*t for t. -2 Solve -8*t + 2295 = 2311 for t. -2 Solve 5*b - 38 = -14*b for b. 2 Solve 5*u - 14 - 21 = 0 for u. 7 Solve 0 - 9 = -3*j for j. 3 Solve 0 = -2*t + 90 - 76 for t. 7 Solve 173 = -7*p + 208 for p. 5 Solve -13*d = -18*d + 10 for d. 2 Solve -15*u - 90 = -45 for u. -3 Solve -220 = 346*x - 368*x for x. 10 Solve 0 = -16*l - 530 + 546 for l. 1 Solve 73 = -18*g + 1 for g. -4 Solve 9*s + 13 + 23 = 0 for s. -4 Solve -27*l + 22*l - 10 = 0 for l. -2 Solve -212 = 70*q + 68 for q. -4 Solve 19*u + 136 = -15*u for u. -4 Solve -7*s = 29*s for s. 0 Solve -28 + 8 = -4*y for y. 5 Solve -30 = -129*a + 135*a for a. -5 Solve 0 = 130*r - 124*r for r. 0 Solve 703*q - 123 = 662*q for q. 3 Solve -116 + 44 = 24*r for r. -3 Solve -8*k - 22 = 10 for k. -4 Solve 174 = 51*b - 22*b for b. 6 Solve 0 = -47*b + 39*b + 40 for b. 5 Solve -75 + 55 = -5*y for y. 4 Solve 24*z - 36 = 6*z for z. 2 Solve -44 = v - 49 for v. 5 Solve -80 = 66*l - 14 for l. -1 Solve -7*y + 38*y - 124 = 0 for y. 4 Solve 34*v + 114 = -4*v for v. -3 Solve -20*h - h = 105 for h. -5 Solve 15*o = 18*o - 15 for o. 5 Solve 12*k - 64*k - 520 = 0 for k. -10 Solve -10*r - 52 = -112 for r. 6 Solve -v + 74 = 73 for v. 1 Solve 0 = 8*n - 1650 + 1586 for n. 8 Solve 0 - 44 = -11*k for k. 4 Solve 15 = -2*o + 9 for o. -3 Solve -33*r + 24 = -27*r for r. 4 Solve -363*u + 25 = -358*u for u. 5 Solve 19*a - 13*a = 18 for a. 3 Solve 8*s = 367 - 343 for s. 3 Solve -279 = k - 276 for k. -3 Solve -3*h + 19 - 16 = 0 for h. 1 Solve 4*l + 3 = 5*l for l. 3 Solve 161*b + 135 = 176*b for b. 9 Solve 0 = -0*m - 3*m for m. 0 Solve 6*j - 707 = -713 for j. -1 Solve -91*a + 0*a + 637 = 0 for a. 7 Solve -14*n = -2*n + 24 for n. -2 Solve 7*p + 5*p = 36 for p. 3 Solve -53*l + 51*l = -8 for l. 4 Solve -36*w = -31*w + 20 for w. -4 Solve 13*m + 42 = -8*m for m. -2 Solve 7*q + 391 = 370 for q. -3 Solve -85 = -16*d - d for d. 5 Solve -3*g - 44 + 56 = 0 for g. 4 Solve -5 = -628*b + 629*b for b. -5 Solve 3*r + 1 = -11 for r. -4 Solve -2185*h = -2164*h - 189 for h. 9 Solve 4 = -3*x + 5*x for x. 2 Solve -6*o + 9*o - 12 = 0 for o. 4 Solve 11*v = 29*v - 14*v for v. 0 Solve -4*c = 5*c + 45 for c. -5 Solve -31 = 13*o + 8 for o. -3 Solve 0 = 135*b - 77*b - 522 for b. 9 Solve 707*g = 703*g + 4 for g. 1 Solve -3*b + 10 = 1 for b. 3 Solve -27*m = 2053 - 2107 for m. 2 Solve 0 = -114*i + 129*i + 75 for i. -5 Solve 9 = -3*o + 6*o for o. 3 Solve -68 = 21*k - 38*k for k. 4 Solve -8*w + w = 7 for w. -1 Solve 0 = 13*s - 14*s - 4 for s. -4 Solve -12 = -233*r + 230*r for r. 4 Solve 5 = -5*a - 10 for a. -3 Solve 875*w = 886*w + 121 for w. -11 Solve 180*j - 87*j = -744 for j. -8 Solve -30 = -1832*r + 1842*r for r. -3 Solve 3*a + 0 + 6 = 0 for a. -2 Solve 15*o = 31*o - 48 for o. 3 Solve 0 = -4*f - 75 + 87 for f. 3 Solve -63*d = -71*d + 32 for d. 4 Solve 0 = -1779*m + 1764*m + 30 for m. 2 Solve 10 = 26*o - 28*o for o. -5 Solve 14*t - 3 = 11 for t. 1 Solve 0 = 11*l - 39*l + 168 for l. 6 Solve -y = 22 - 25 for y. 3 Solve -55*d - 280 = -15*d for d. -7 Solve 5*x = -1 - 14 for x. -3 Solve 4*o - 23 + 15 = 0 for o. 2 Solve 32 = 2*x + 36 for x. -2 Solve 6*r + 2*r = -56 for r. -7 Solve 0 = -81*b + 85*b + 12 for b. -3 Solve 0 = 53*y - 57*y + 24 for y. 6 Solve 4 = -121*s + 119*s for s. -2 Solve -16*b = -11*b + 26*b for b. 0 Solve 5*v + 10 = 35 for v. 5 Solve -20*d + 477 - 337 = 0 for d. 7 Solve 2*x = -1 - 7 for x. -4 Solve -4*i - 183 = -183 for i. 0 Solve -8*q + 365 = -81*q for q. -5 Solve -37*x + 22*x + 135 = 0 for x. 9 Solve -4*r = -50 + 58 for r. -2 Solve 3 = -r + 6 for r. 3 Solve 0 = 5*w - 67 + 57 for w. 2 Solve 6*h - 9*h - 3 = 0 for h. -1 Solve -130*i = -138*i + 56 for i. 7 Solve -6*y + 148 = 166 for y. -3 Solve 22*m = 14*m - 5*m for m. 0 Solve 30 = 12*l - 2*l for l. 3 Solve 35*p = 38*p + 9 for p. -3 Solve -4*z + 8 = -2*z for z. 4 Solve -9*p - 48 = -21*p for p. 4 Solve -28 = 6*h + 8 for h. -6 Solve -44 = 5*a - 64 for a. 4 Solve -187*l = -185*l - 6 for l. 3 Solve 5*r + 6 - 11 = 0 for r. 1 Solve 36*w - 15*w + 105 = 0 for w. -5 Solve 53*q = 38*q - 15 for q. -1 Solve 531 = d + 532 for d. -1 Solve -4*a + 60 = 8*a for a. 5 Solve -10*p - 2 = 28 for p. -3 Solve -9 = 5*y + 6 for y. -3 Solve 15 = -8*m + 11*m f
{ "pile_set_name": "DM Mathematics" }
= -17, 0*u - 4*u - 2*m = -18. What is the second biggest value in -0.3, r, u? -0.3 Let r = -1024 - -1027. Which is the second smallest value? (a) 1/4 (b) -14/15 (c) r a Let u = 24.05 + -24. Let n = u + -0.01. Let r be 1 - ((-13)/(-11) + 0). Which is the smallest value? (a) r (b) -2/13 (c) n a Let f = 7.35 + -7.85. What is the smallest value in 1/5, f, -95? -95 Let i = 0.4 + 3.6. Let x(b) = b**2 - 5*b + 8. Let v be x(4). Suppose -4*h - 4 = 4*o + v, -o + 1 = 4*h. What is the third biggest value in i, o, -7? -7 Let y = -188.3 - -183.3. What is the fourth smallest value in 3, -2/13, 0.4, y? 3 Let z = -2 - -2. Let k = 21.67 - 20.67. What is the third smallest value in -3, k, z? k Let i(q) = -2*q**2 - q - 17. Let v be i(-5). What is the smallest value in 0.2, v, 0.3? v Suppose 5*a + 2*t = 45, 4*a + 0*t - 2*t - 18 = 0. Let x(k) = 2*k - 12. Let p be x(a). What is the second biggest value in p, 2/3, -0.4? 2/3 Let i = 92.8 + -93. Let q = -6 + 9. What is the fourth biggest value in i, -8, 1, q? -8 Let q = 12 - 12. Suppose 0 = -k + 3*n + 21 + 3, -3*k + 5*n + 52 = q. Suppose 7*j = k*j. Which is the smallest value? (a) 1/5 (b) -3/7 (c) j b Let o = -6219 + 6224. Let s = 1/23 + -25/46. What is the second smallest value in 8/9, s, o? 8/9 Let h = -1.522 + 0.082. Let l = h - -0.44. Suppose 3 = -k - c, k + c = -c - 2. What is the second biggest value in l, k, -0.5? l Let p be ((-1)/(-5))/((-10)/(-150)). Let l be (-3)/2*(-28)/105. Which is the biggest value? (a) 6 (b) p (c) l a Let t = -44 - -15. What is the biggest value in 2/11, 3, t? 3 Let s = -2.53 - -2.43. What is the third smallest value in -4.2, s, -4? s Let o(q) = -7*q - 68. Let w be o(-10). What is the fourth biggest value in w, -2/5, 2/9, 4? -2/5 Let g = 1756.6 - 1758. Suppose 2 + 2 = -2*d. Which is the second biggest value? (a) g (b) d (c) -4 b Let b = 0 - -0.1. Let c = -6.9 + 4.7. Let f = 4.2 + c. What is the smallest value in f, 2/7, b? b Let j be ((-24)/(-39))/(-4)*1. Let b be 0 + 0 + 48 + 3. Let u be 2/(-8) - b/(-108). What is the biggest value in u, j, -5? u Suppose p = 9 - 13. Let w be (-24)/14*4/8. What is the third smallest value in -1/3, w, p? -1/3 Let p = 1757 - 1776.93. Let y = p - 0.07. Let u = -19.9 - y. Which is the biggest value? (a) -0.5 (b) u (c) 1 c Let y = 0.11 + -0.31. Let x(r) = 2*r**3 + 2*r**2 + 2*r - 2. Let v be x(-2). Let k be 232/28 - (-4)/v. Which is the second smallest value? (a) 1/7 (b) y (c) k a Let z = -1648.8 + 1649. Which is the biggest value? (a) 5 (b) 47 (c) z (d) 1/4 b Let d be 6/(-33) + 168/77. Which is the second biggest value? (a) 1/2 (b) -4.2 (c) d a Let c(t) = t**2 + 3*t - 3. Let r be c(2). What is the fourth biggest value in -2, r, 1, 2? -2 Let o = 2.859 - -0.041. Let x = 0.9 + -1. Let m = o - x. Which is the second smallest value? (a) m (b) 4 (c) -4 a Let t = 6 - 0. Suppose 875*n = 883*n + 8. Let r = -0.9 + 0.4. Which is the third smallest value? (a) t (b) r (c) n a Let l = -0.8 + 0.3. Let k = l - -0.8. Let o be (-344)/(-43) - (4 - -6). Which is the third biggest value? (a) k (b) o (c) 2/11 b Let u = 1541 - 1535.6. Which is the fourth smallest value? (a) -5 (b) -0.3 (c) u (d) -3 c Let t = 1.3 + -0.95. Let u = -9.78 - -9.93. Let a = u - t. What is the second smallest value in 5, -8/7, a? a Let z = -432 + 432.3. What is the third smallest value in 3/13, -0.7, z? z Let z be 2*-1 + (-2)/40. Let o = 9/4 + z. Let h = 9 - 6. What is the third smallest value in h, 4, o? 4 Let n = -217.6 + 43.6. Let k = n - -170. What is the third smallest value in -9, k, 5? 5 Let u = 13/63 + 1/63. Which is the second biggest value? (a) 26 (b) u (c) 8 c Let u = -32.5 - -1.1. Let f = -31 - u. Which is the third biggest value? (a) 0.1 (b) f (c) 0.6 (d) -0.3 a Let q = -396/1015 - 2/203. Let u = -36 + 35.9. Which is the third smallest value? (a) u (b) -2 (c) q a Let i = 0.3 - 3.3. Let z = -0.9 - 4.1. Let k = z + 4.5. Which is the smallest value? (a) i (b) 7 (c) k a Let y = -0.674 + 0.174. What is the fourth smallest value in -12, y, 9/2, 2? 9/2 Suppose 7 + 1 = 2*y + 5*w, 0 = 5*y - 4*w - 20. Which is the second smallest value? (a) -1.4 (b) 5 (c) y c Suppose 32*t = -0*t + 576. What is the fourth biggest value in 5, 2/7, t, 0? 0 Let v be 12/(-50)*3602/6. Let m = v - -144. Let x = -1/12 - 17/84. What is the biggest value in x, m, -3? m Suppose 0*t + 80 = -2*t. Let o = 43 + t. What is the third biggest value in -3, 4, o? -3 Let l = -4016.3 + 4015. Let v = 0.1 + -0.2. Which is the third smallest value? (a) 0.4 (b) v (c) l (d) -1 b Let l = 3309 + -3309.39. Let s = -41/4 - -10. Which is the third biggest value? (a) l (b) 0 (c) s a Let a = -452 + 2261/5. Suppose i - 5 = -5*m, m + 5*i = 13 + 12. What is the biggest value in 0.3, 1, a, m? 1 Let d = -6 - -6.3. Let j = 0.1 - d. Let x = 1.8 - 1.87. Which is the third biggest value? (a) x (b) j (c) -1/2 c Suppose 418 - 299 = -17*w. Which is the third biggest value? (a) -21 (b) 4 (c) w (d) -2/5 c Let q = 0.033 - 46.033. Let l = q - -43. Let z = -217/30 + 41/6. What is the biggest value in l, z, -0.1? -0.1 Let q = -911 - -910.8. Which is the third smallest value? (a) -0.4 (b) 34 (c) q (d) 2/9 d Let i = -30.4 - 6.6. Let o = -37.2 - i. What is the fourth biggest value in 0, o, -10/9, 3? -10/9 Let v be 429/1566 + (-6)/27. Let p = 189/290 - v. Let i be (1 - 3/2)/3. What is the third biggest value in p, i, -2/15? i Let k = 2.5 - 0.5. Let x = 229/3 + -77. Suppose -5*n = -238 + 218. Which is the smallest value? (a) k (b) n (c) x c Let h be 11/(44/8) - 6. Let f = 3.94 - -0.06. Which is the smallest value? (a) f (b) 0 (c) h c Suppose 3*i - 5*k = -37, 0 = -3*i + 4*k - 3*k - 17. Let j = 0.155 + 0.145. Which is the third smallest value? (a) 4 (b) i (c) j a Let m = -141 - -141.013. Which is the third biggest value? (a) 0.4 (b) -0.2 (c) m b Let f = 0.1519 + 0.0481. Which is the biggest value? (a) f (b) -5 (c) -2/5 a Let t = 19.1 - -1.9. Let y = -20 + t. Let p = 4 + y. Which is the smallest value? (a) p (b) 0 (c) -5 c Let r = 2 - -2. Let g = 7770 + -23312/3. Which is the third biggest value? (a) g (b) 0.3 (c) r (d) -4 a Let a be 172/258 + 4/(-6). What is the third smallest value in -60, a, 1/4? 1/4 Let s = 474 + -325.8. Let y = s - 148. What is the third smallest value in -5, y, 0.4, 2/9? 2/9 Suppose -4*z - 15 = z. Let p = 6 + 0. Let i = 6.5 - p. Which is the third biggest value? (a) i (b) z (c) 2/11 b Let n = -85.47 - -90.1. Let l = n - -0.37. What is the smallest value in l, 1/3, -3/2? -3/2 Let m = -37 + 40.1. Let t = -7.1 + m. What is the fourth smallest value in t, 5, 8, -1? 8 Let g = 337 - 334. What is the second smallest value in 2, 1/103, g? 2 Let y be 2/(-3) - 13/(-15). Let n(m) = m**2 - 6*m + 1. Let x be n(4). Let u be (-50)/x + (-3)/21. What is the biggest value in y, u, -0.1? u Let n be -1 - (-6)/4*2. Which is the second smallest value? (a) 0 (b) -113 (c) n (d) 1/5 a Let u = -2.8 + 3.4. Let f = u - 0.6. Which is the smallest value? (a) 0.2 (b) f (c) 1 b Let y be (-7)/2 - (-4)/8. Suppose -u + 2 = -5*t, 5*u + 5*t - 33 = u. Which is the second smallest value? (a) y (b) u (c) 4 c Let b be 255/85 - 110/38. Let z = 0 + 0.01. What is the third biggest value in 5, b, z? z Let n = -98 + 96. Which is the fourth biggest value? (a) n (b) -4 (c) 0.4 (d) -0.5 b Let w = 61.335 - 57.4. Let f = -0.065 - w. What is the biggest value in f, -3/5, 1? 1 Let a = 0.151 + -2.151. What is the third biggest value in 5, 0.14, a? a Suppose 7*l + 547 = -258. What is the third biggest value in -3/5, l, 0.5? l Suppose 3*a = 2*t + 23 + 21, 0 = t + 1. Let j be a/(-21) + 164/(-6). Let h be (2/(-2))/(j/21). What is the third biggest value in -5, -4, h? -5 Let f = 0 - 3. Let g = 1.8 + 8.2. Let h = g + -5. Which is the second biggest value? (a) f (b) h (c) 2 c Let j = 4348.06 + -4409. Let n = -61 - j. Which is the second biggest value? (a) n (b) 3 (c) 1/2 c Let o = -0.5 + 0.2. Let v = -0.02913 - 0.17087. What is the third smallest value in -5, o, v, 0.4? v Let r be 3*(3 - (-679)/(-231)). Let n = 11/70 - 5/14. What is the smallest value in n, -2, r? -2 Let y(h) = -15*h - 1. Let z be y(2). Let u = z - -46. Let q = u + -19. Which is the third smallest value? (a) -0.5 (b) 6/11
{ "pile_set_name": "DM Mathematics" }
/(-12))? 165 Let u = -2627 - -2777. What is the lowest common multiple of 180 and u? 900 Let g = -46/4325 - -191369/14333050. What is the common denominator of -61/8 and g? 13256 Let o = 502 + -421. Let m = 6 - -6. Calculate the lowest common multiple of m and o. 324 Let r be (10830992/577971880)/((-1)/(1*-5)). Let t = r - 12480607479477/37289575304543. Let j = 1/31093 + t. Calculate the common denominator of j and 41/9. 747 What is the least common multiple of (370 - 1) + (-3 - -18) + -8 and 20? 1880 Let v = 45355076/5229 + -78064/9. Calculate the common denominator of -10/1079 and v. 7553 Let v(r) = -r**3 - 8*r**2 - 6*r - 13. Let g be v(-7). What is the common denominator of -2/51 and 20/((-12)/g + (-44)/(-20))? 357 Suppose -4*n + 17 + 3 = 0. Suppose q - 3*b - b = 601, 0 = -n*q - b + 2984. Find the common denominator of -2 and 7/35 + q/165. 11 Let y = 19 - 11. Suppose 118 = y*i + 6. Suppose -2*f = -f - 9. Calculate the least common multiple of i and f. 126 Let x = -4697 - -3062. What is the common denominator of x/6*(-2 - 239/(-120)) and 145/12? 48 Let i be (-852214)/(-11)*(-3)/(-6). Let x = -1162267/30 + i. Calculate the common denominator of -89/54 and x. 270 Let o = -39 + 39. Suppose o*z = -6*z + 18. Suppose -d = z*d - 24. Calculate the smallest common multiple of 102 and d. 102 Let n be 2198 + 7 + -4 + 2. Let d = 11074/5 - n. Calculate the common denominator of d and -36/7. 35 Let k = -55850163594331663863/4932020 + 22647987475451/2. Let f = 2/64895 - k. Find the common denominator of f and 65/2. 76 Calculate the smallest common multiple of 119 and (-84)/((-148)/8 + 5) + (-4)/18. 714 Let j = -321/8 - -245/8. Calculate the common denominator of j and 27/506. 506 Let c = -292059 + 192758833/660. What is the common denominator of 5/33 and c? 660 Let s(u) = u**3 + 6*u - 9. Let k be s(2). Find the common denominator of k/(66/148) + 0 and 50/11. 33 Let g(h) = -2*h - 19. Let m = 91 - 100. Let d be g(m). Calculate the common denominator of -113/14 and 542/100 + 3/d. 350 Suppose 3*k - 2 = 4. Let m(v) = -4*v - 28. Let b be m(-5). Find the common denominator of -39 and (k/b)/(18/(-424)). 9 Let m = -9480 + 644565/68. Let u = -4293/748 - m. What is the common denominator of (4/(-3))/(3/(-19)) and u? 99 Let u(g) = -g**3 - 35*g**2 - 30*g + 161. Calculate the lowest common multiple of 310 and u(-34). 1550 Let k(o) = 2*o**2 + 2. Let b be k(2). Calculate the common denominator of ((-128)/(-392))/((-6)/9) and 4/b - 42/4. 490 Let r be 15/(-10) + 2 + 2750/(-2). Let t = 1348 + r. Calculate the common denominator of 58/51 and t. 102 Let u be ((-3)/(-4))/((-9)/9561). Let p = u + 2425/3. Let c = 8446/27 + -312. Calculate the common denominator of p and c. 108 Let z(y) = 4*y**2 - 51*y + 38. Let s be z(12). Calculate the common denominator of (48/(-200)*-5)/(s/8) and 4/16 + 69/4. 10 Let j(w) = 1104*w**3 - 8*w**2 - w + 11. Let y be j(-5). Let f = y - -205300. Let l = f - 4161105/62. Calculate the common denominator of 87/14 and l. 434 Suppose -29*o = -3*o + 52. What is the common denominator of -3/88 and (-1328)/256 + (-1)/o? 176 Let d = -318425569/570 + 558641. Calculate the common denominator of d and 133/12. 1140 What is the common denominator of (-3 + 14/8)*924/(-140) and 12/(-28) + 718/(-252)? 36 Suppose 5*m - 3 = -8, -w + 31 = -3*m. What is the least common multiple of 364 and w? 364 Suppose -86 = -m - 704. Find the common denominator of ((-5)/(-30))/(2 - (-1222)/m) and 67/64. 448 Let h(k) = k**3 - 6*k**2 - 20*k + 37. Let u be h(9). Find the common denominator of (7 - 12 - (-1065)/u) + 0 and -47/50. 100 Suppose -36*n = -8754 + 1194. Suppose -5*b - 17 = -5*u + 203, 5*u = 2*b + 208. Calculate the lowest common multiple of u and n. 840 Let o = -2796 + 1951. Let h = o - -944. Calculate the least common multiple of h and 1. 99 Let t be (-179320)/(-25760) - 2/(-8). Let f = 110/23 - t. What is the common denominator of f and 47/2? 14 Let k(b) = -15*b + 1. Let g be k(-5). Let s = g + -61. What is the smallest common multiple of s and 11? 165 Let t = 607093/72 + -8432. Let u = 221/72 - t. What is the common denominator of u and 61/153? 153 Let w = 936 + -52. Suppose 2*s = -22*a + 25*a + 427, 0 = 4*s + 4*a - w. What is the least common multiple of s and 16? 1744 Let d(g) be the second derivative of 3*g**3/2 - g**2/2 + g. Suppose -3183 - 1849 = -629*j. Calculate the lowest common multiple of d(1) and j. 8 Let j(a) = -17*a**2 + 3*a - 6. Let g be j(6). Let u = g + 1744/3. Calculate the common denominator of u and -302*4/288 - (-22)/8. 9 Let y be 1096/18 + -2 - -3. Let v = y - 5309/90. Find the common denominator of 3*24/(-162)*4 and v. 90 Let g(p) = -p**3 + 11*p**2 + 8*p + 41. Let v be g(12). Calculate the lowest common multiple of 12 and (1 - (-55)/v)/(6/(-63)). 72 Let w = -2462/23 + 1599817/14950. Calculate the common denominator of -19/50 and w. 650 Let w(z) = 4683*z**2 - 14*z + 14. Let s be w(1). Let d = s + -74879/16. Find the common denominator of 34/7 and d. 112 Let g = 8804 + -1267879/144. Let o = 9983/204 - 1026/17. Calculate the common denominator of g and o. 144 Suppose -3*j + 4412 = -1039. Let f = -32837/18 + j. Calculate the common denominator of f and 73/78. 234 Let h = 93 + -90. Let z be (h - 19)/(-4)*1 + 12. Calculate the smallest common multiple of 1*-3 + z/2 and 24. 120 Suppose -4*u + 16581 + 41475 = 0. What is the lowest common multiple of 16 and u? 116112 Suppose 5*p + 117 = y, -2*p + 15 = -7*p. Calculate the least common multiple of (-31 + 39)*(3 - 1)/1 and y. 816 Suppose 2*v = 2*g + 86, 0 = -5*v - 40923*g + 40927*g + 205. Suppose -5*l + 4 = -4*l. What is the smallest common multiple of l*2*6/2 and v? 264 Suppose d - 2*c - 8 = 5*d, -4*d + 5*c + 6 = 0. Find the common denominator of (8/52)/d - 1588/(-1872) and -19/9. 36 Suppose -116*v + 115*v + 5 = 0. Let j(g) = 5*g**2 - 27*g + 26. Let l(f) = 4*f**2 + 5*f + 3. Calculate the least common multiple of l(-3) and j(v). 48 Let n = 2606517 + -12229777811/4692. Find the common denominator of 79/510 and n. 23460 Let i be -2 - 4 - 4530/(-230). Let m = i + -7115/276. What is the common denominator of (-2)/24*(-116)/(-6) and m? 36 Suppose 7*u - 6 = u. Let a = -63325/6 + 10530. Calculate the common denominator of a and u/((-16)/180*1). 12 Let c = -1155 + 1151. Let b = 6 - 19. What is the common denominator of -3*b/(-20) - (-2)/c and -77/18? 180 Let w = 2511/266 - 814/95. What is the common denominator of w and 8/4*1 + (-81939)/40110? 70 Let j(o) = -17*o + 121. Let u be j(-19). Let s = -364 + u. Calculate the smallest common multiple of s and 28. 560 Let q be (4/(40/(-6)))/(11/(-275)). Suppose 0 = q*l + 5*l - 360. Calculate the smallest common multiple of l and 30. 90 Let x = 1796/37037 - 20/1443. Calculate the common denominator of -41/27 and x. 2079 Let a = 2/6529 + 254599/104464. Calculate the common denominator of ((-212)/5 + (-2)/5)/4 and a. 80 Suppose -1309 = 5*t + o + 2561, t - o = -780. Let p = t + 784. Let r(u) = 3*u**2 + 4*u + 2. Calculate the smallest common multiple of p and r(-2). 18 Let z = -7413/100 - -3015651/40700. Find the common denominator of 24/121 and z. 22385 Let w = 7 + -9. Let s be (-2447754)/(-360) + w/5. Let x = 6807 - s. Find the common denominator of -99/10 and x. 60 Suppose -2*w = -w + r, 3*w - 2 = -2*r. Let h = -89 - -93. Calculate the least common multiple of -1*(-6 - (-1 - (w - 6))) and h. 36 Let w(l) = -9*l - 15. Let n be w(-3). Let j be 0/(4 - n/4). Suppose 4*r - 198 = -3*o, j = -4*o - r + 67 + 197. What is the least common multiple of o and 12? 132 Let g be (-280)/(-68) - (-14)/(-119). Suppose b = -g*u + 28, -b - u = -4*u. Calculate the lowest common multiple of (3 - (-1 - -1)) + 1 and b. 12 Suppose -22*i = 1222 - 3334. Suppose 2*u = 4*p + i, 3*p = -2*p + 5. Calculate the smallest common multiple of u and 20. 100 Let k be 24/(-64) - (-27795)/(-88). Let m = -3436/11 - k. Find the common denominator of m and 1 + 0 + (-268)/(-24). 66 Find the common denominator of 1 + (-2)/(-4) + 1007/399 and (-8)/(-4) + 1*(-22)/(-27). 378 Calculate the smallest common multiple of 1076 and (-9)/30 - (-24)/30 - 79/(-2). 10760 Let f = -223 + 309. What is the lowest common multiple of f and ((-50)/55)/(4/(-44))? 430 Let w be 489/((-7)/(84/(-9))). Suppose w*n - 88 = 648*n. Let s = -28 - -46. What is
{ "pile_set_name": "DM Mathematics" }
24.1l in millilitres? 880324100 How many nanograms are there in 0.0064609ug? 6.4609 How many minutes are there in five sixths of a week? 8400 How many millimeters are there in 3/5 of a meter? 600 What is 1/5 of a minute in milliseconds? 12000 How many seconds are there in 2/15 of a day? 11520 What is 25/4 of a week in hours? 1050 How many millilitres are there in 4667.075 litres? 4667075 What is 985680.8 tonnes in milligrams? 985680800000000 What is eleven quarters of a year in months? 33 How many litres are there in 20.50674ml? 0.02050674 How many seconds are there in 3/16 of a day? 16200 What is 19/4 of a litre in millilitres? 4750 How many months are there in 7/4 of a millennium? 21000 How many millilitres are there in 184.4606l? 184460.6 What is 13/8 of a litre in millilitres? 1625 What is six fifths of a litre in millilitres? 1200 What is three fifths of a decade in years? 6 What is 7/8 of a litre in millilitres? 875 What is 224.8603 nanoseconds in seconds? 0.0000002248603 What is seven quarters of a tonne in kilograms? 1750 How many millimeters are there in 46879.01 kilometers? 46879010000 How many centuries are there in 54/5 of a millennium? 108 Convert 0.0748731 micrometers to centimeters. 0.00000748731 What is 69.8365ug in tonnes? 0.0000000000698365 Convert 16431.82 days to hours. 394363.68 What is 27/5 of a hour in seconds? 19440 What is thirty-seven halves of a litre in millilitres? 18500 What is 26.5814766 minutes in weeks? 0.00263705125 What is five quarters of a litre in millilitres? 1250 How many minutes are there in 2/9 of a week? 2240 What is thirteen fifths of a millennium in centuries? 26 What is 55/4 of a litre in millilitres? 13750 How many tonnes are there in 87.03735g? 0.00008703735 How many months are there in 158.16 millennia? 1897920 What is one tenth of a litre in millilitres? 100 How many years are there in 289.803 centuries? 28980.3 How many millilitres are there in 9.175945 litres? 9175.945 What is seventy-five halves of a litre in millilitres? 37500 What is one tenth of a microsecond in nanoseconds? 100 Convert 9.931164 kilometers to centimeters. 993116.4 What is 3/5 of a hour in seconds? 2160 What is 11/2 of a gram in milligrams? 5500 How many months are there in seven halves of a year? 42 How many milligrams are there in 17/4 of a gram? 4250 How many days are there in 64/7 of a week? 64 What is 238.2342um in millimeters? 0.2382342 Convert 473.59t to kilograms. 473590 How many decades are there in 0.5421426 centuries? 5.421426 Convert 3444.379mg to grams. 3.444379 Convert 7.876409ng to grams. 0.000000007876409 What is 11/4 of a year in months? 33 What is 1733.4678 minutes in hours? 28.89113 How many nanograms are there in fourty-five halves of a microgram? 22500 Convert 45229.02 centuries to millennia. 4522.902 What is twenty-five halves of a litre in millilitres? 12500 Convert 556.5997 milligrams to tonnes. 0.0000005565997 How many millilitres are there in 1/10 of a litre? 100 How many meters are there in 5/4 of a kilometer? 1250 How many minutes are there in 279453.96us? 0.004657566 Convert 0.4231461 decades to millennia. 0.004231461 How many centimeters are there in 1/4 of a kilometer? 25000 How many seconds are there in three eighths of a hour? 1350 How many centimeters are there in 1/5 of a meter? 20 What is one tenth of a meter in micrometers? 100000 What is 12/25 of a century in months? 576 How many months are there in 61/4 of a year? 183 How many years are there in 32/5 of a millennium? 6400 What is 94.88864 millennia in decades? 9488.864 How many millimeters are there in 11/4 of a meter? 2750 Convert 167027.13 milliseconds to minutes. 2.7837855 Convert 61.87408ml to litres. 0.06187408 Convert 410.9046 decades to centuries. 41.09046 What is 1350.8073 seconds in hours? 0.37522425 What is 11/4 of a centimeter in micrometers? 27500 How many decades are there in fourty-three halves of a century? 215 How many minutes are there in 27.291468us? 0.0000004548578 How many centuries are there in 0.9134594 years? 0.009134594 What is 22/15 of a hour in seconds? 5280 How many millennia are there in 14.77464 months? 0.00123122 What is one tenth of a milligram in nanograms? 100000 How many kilometers are there in 93.00436m? 0.09300436 How many millimeters are there in 1/10 of a centimeter? 1 How many months are there in 29/3 of a year? 116 Convert 1.921328 micrometers to centimeters. 0.0001921328 How many micrograms are there in 13/4 of a milligram? 3250 How many milligrams are there in 83650.16kg? 83650160000 What is 0.3840104 decades in centuries? 0.03840104 What is 21/5 of a litre in millilitres? 4200 How many nanometers are there in 919.1036 centimeters? 9191036000 How many minutes are there in twenty-eight ninths of a day? 4480 How many litres are there in 98.50006 millilitres? 0.09850006 How many centimeters are there in one fifth of a meter? 20 How many hours are there in 8/7 of a week? 192 What is nineteen quarters of a millennium in years? 4750 Convert 75.48429 minutes to hours. 1.2580715 How many kilograms are there in 5/8 of a tonne? 625 How many nanoseconds are there in 1/20 of a millisecond? 50000 Convert 701.2857g to kilograms. 0.7012857 How many kilograms are there in 1/4 of a tonne? 250 Convert 48.4257l to millilitres. 48425.7 How many micrometers are there in thirteen eighths of a millimeter? 1625 What is 17/4 of a micrometer in nanometers? 4250 How many micrograms are there in fourty-four fifths of a milligram? 8800 How many seconds are there in thirteen eighths of a hour? 5850 How many nanograms are there in seventy-four fifths of a microgram? 14800 How many millimeters are there in six fifths of a centimeter? 12 What is seven halves of a litre in millilitres? 3500 What is 9908.986mm in meters? 9.908986 What is 97.47139 millilitres in litres? 0.09747139 How many millilitres are there in five eighths of a litre? 625 What is 59.34074 millilitres in litres? 0.05934074 What is 32/5 of a decade in months? 768 What is 5.386831 centimeters in micrometers? 53868.31 What is twenty-five eighths of a kilometer in meters? 3125 What is twenty-one halves of a millennium in years? 10500 What is three fifths of a microsecond in nanoseconds? 600 How many months are there in four thirds of a century? 1600 Convert 25.63976 milligrams to nanograms. 25639760 What is 7/2 of a litre in millilitres? 3500 What is thirteen fifths of a century in years? 260 How many grams are there in 33/10 of a kilogram? 3300 What is 800.3456 litres in millilitres? 800345.6 What is 552.8555 litres in millilitres? 552855.5 What is 11/2 of a kilometer in meters? 5500 How many millimeters are there in eighteen fifths of a meter? 3600 How many litres are there in 6.967843 millilitres? 0.006967843 How many decades are there in twenty-one halves of a century? 105 How many seconds are there in one quarter of a day? 21600 Convert 3542.691ug to kilograms. 0.000003542691 Convert 911015.9 millilitres to litres. 911.0159 How many decades are there in 0.4565105 years? 0.04565105 How many kilograms are there in twenty-seven quarters of a tonne? 6750 What is 279.2999 millilitres in litres? 0.2792999 How many minutes are there in 1/4 of a day? 360 What is 9424.509km in micrometers? 9424509000000 How many centimeters are there in 18.7672 micrometers? 0.00187672 How many centimeters are there in 81.90239um? 0.008190239 What is 25.22522 milligrams in micrograms? 25225.22 What is 1/10 of a litre in millilitres? 100 Convert 0.7408916km to nanometers. 740891600000 How many kilometers are there in 779927.8 millimeters? 0.7799278 What is 3/25 of a millennium in decades? 12 How many grams are there in 7.623231 nanograms? 0.000000007623231 Convert 875.8938l to millilitres. 875893.8 Convert 2870.71ml to litres. 2.87071 What is 190633.14 milliseconds in hours? 0.05295365 How many micrometers are there in 270314.5mm? 270314500 How many millilitres are there in 7/8 of a litre? 875 How many seconds are there in 2/27 of a day? 6400 How many milligrams are there in 6/5 of a gram? 1200 How many kilograms are there in 915.402 nanograms? 0.000000000915402 What is 1/16 of a minute in milliseconds? 3750 How many millilitres are there in 45163.07l? 45163070 How many minutes ar
{ "pile_set_name": "DM Mathematics" }
6)/(-4). What is the greatest common factor of l and f? 10 Let y = 198 + -138. Suppose 2*w - l + 11 = 45, -w - 5*l = 5. Calculate the highest common divisor of y and w. 15 Suppose 0 = -4*l + 60 + 72. Let f = l + 57. What is the greatest common divisor of f and 36? 18 Let m be (17/(-2))/(3/(-30)). Suppose 5*t - m = 135. What is the greatest common factor of t and 66? 22 Let c(o) = -3*o**3 - o**2 + 5*o - 4. Let q(h) = h**3 - h**2 + 1. Let t(x) = -c(x) - 2*q(x). Let u be t(-4). Calculate the highest common factor of u and 9. 3 Let g(u) = -10*u - 19. Let k be g(-3). What is the highest common divisor of 99 and k? 11 Suppose 6*s - 8*s = -42. Calculate the greatest common factor of s and 105. 21 Let t(y) = 3*y**2 + 7*y + 1. Let l be t(-7). What is the greatest common factor of l and 11? 11 Let j be 315/18 - ((-6)/4)/(-3). Calculate the highest common factor of j and 187. 17 Let m(o) = 6*o - 8. Let p be m(13). Calculate the highest common divisor of p and 7. 7 Suppose -l = -3*f - 19 - 8, -2*f - 118 = -4*l. Calculate the greatest common factor of l and 6. 6 Let f(p) = -100*p**3 - p**2 + 1. Let r be f(-1). Suppose m + 3*m - r = 0. Calculate the greatest common factor of m and 10. 5 Suppose -5*t + 0*t = 310. Let d = t + 98. Calculate the greatest common factor of 18 and d. 18 Let v = -8 + 14. Let s = -18 - -27. Suppose v = g - s. Calculate the highest common divisor of g and 75. 15 Let z(s) = s**3 - 4*s**2 - 8*s + 3. Let m be z(6). Suppose 2*f = -b + 3, -f + 39 = 3*b - 5*f. What is the highest common factor of m and b? 9 Suppose 4*c - 3263 = 461. Let p = -590 + c. Calculate the highest common divisor of 31 and p. 31 Let a = 470 - 275. Suppose 0 = -4*f - 5*q + a, 3*f - 2*f + 5*q - 30 = 0. Calculate the greatest common factor of f and 22. 11 Suppose -w = 2*n - 137, w + 56 = n - w. What is the highest common divisor of n and 6? 6 Let b(a) = -a**2 + a - 1. Let c(x) = 10*x**2 - 6*x + 7. Let m(o) = 5*b(o) + c(o). Let y be m(2). What is the greatest common factor of 100 and y? 20 Let s = 23 - 14. What is the highest common factor of s and 6? 3 Let h be 1 + (-2 - -1) + 2. Suppose -9*q - 13 + 175 = 0. What is the highest common divisor of h and q? 2 Let f(b) = 4*b - 2. Let n be f(8). Let j = 4 + -3. Let p be (33/(-22))/(j/(-4)). Calculate the greatest common factor of p and n. 6 Let y be (8/10)/(2/75). What is the highest common divisor of 5 and y? 5 Let w = 91 - -14. What is the greatest common factor of w and 15? 15 Suppose 0 = -5*l - b + 60, -2*l + 4*b + 20 = -26. What is the highest common factor of 104 and l? 13 Let j(h) = -3*h - 5. Let i be j(-4). Suppose -3*f = -2 - i. Suppose -f*c + 17 = -4. Calculate the highest common divisor of c and 14. 7 Let o = -3 - -6. Suppose -o*s = -3*v + 2*s + 7, 3*v - 8 = 4*s. Suppose -100 = -v*j - j. Calculate the greatest common divisor of j and 4. 4 Let x be 6/9*(-135)/(-6). Let n = 317 + -197. Calculate the greatest common factor of x and n. 15 Let z = -132 - -187. Calculate the greatest common factor of 22 and z. 11 Suppose 4*o = -5 + 13. Let g be -1*(o + 4)*-1. Calculate the greatest common divisor of g and 4. 2 Let y = 22 - 20. Let o be (140/4)/(y + -1). Calculate the highest common divisor of 7 and o. 7 Suppose -7*i = -3*i - 96. Suppose 2*y = -x + 2*x - 26, -2*y + 70 = 3*x. Suppose p = -3*p + x. Calculate the highest common factor of p and i. 6 Suppose 4*i + 168 = 4*q, 2*q + i - 75 = 3. Suppose f - 3*f - q = 0. Let l = -9 - f. Calculate the greatest common factor of 77 and l. 11 Let n(p) = -p**2 + 9*p - 3. Let t be n(5). Suppose 8 = -2*r, m - 47 = 4*r - 5*r. What is the greatest common divisor of t and m? 17 Suppose 100 = -0*u + 5*u. Let z(t) be the first derivative of 2*t**2 + 4*t + 3. Let p be z(4). Calculate the highest common factor of p and u. 20 Let i(w) = w**2 - 25. Let f be i(8). Calculate the greatest common divisor of f and 429. 39 Suppose 5*a - 1927 = 4*y, -3*a - 5*y + 811 + 360 = 0. What is the greatest common divisor of a and 43? 43 Suppose -x + 98 = 85. Calculate the greatest common divisor of 91 and x. 13 Let o(b) = -42*b**3 - b**2. Let t be o(-1). Suppose -12 = 5*v + 4*p - 253, v = p + t. What is the highest common factor of v and 9? 9 Let u = -4 - -6. Suppose u*m + 24 = 3*b - 3*m, 5*b - 40 = 5*m. Calculate the highest common divisor of 12 and b. 4 Suppose -5 = y - 2*y. Suppose 4*m - 108 = 4*v, 3*m + 0*v = y*v + 85. What is the highest common divisor of m and 5? 5 Suppose 6*w - 4*w = -6. Let n be (-6)/w*9*1. What is the highest common factor of 9 and n? 9 Let v(m) = m**3 + 9*m**2 - 4*m - 6. Let x be v(-4). Let j = -18 + 38. Let o be j - (3 - 1) - 0. Calculate the highest common factor of o and x. 18 Let s be -1 + 7/((-21)/(-30)). What is the greatest common factor of 18 and s? 9 Let f = 770 - 545. Suppose -4*t + t = -f. Calculate the greatest common divisor of 30 and t. 15 Let y be (-2)/(-4) + (-1230)/(-4). What is the greatest common divisor of y and 28? 28 Let d = -17 + 19. Let k(w) = 2*w + 3. Let h be k(-6). Let b = -6 - h. What is the highest common divisor of d and b? 1 Suppose -2*x + 1 = -5. Suppose n = x*y - 202, n - 155 = -3*y + 39. What is the greatest common factor of 6 and y? 6 Suppose 172 - 584 = -2*l - 3*d, -4*d = l - 201. Let y = -1 - -1. Suppose 4*g - 32 - 44 = y. What is the highest common divisor of l and g? 19 Let c be (297/(-12))/((-1)/56). Suppose 4*u + c = 11*u. Calculate the greatest common divisor of 18 and u. 18 Let z be 2*14/(-12)*-3. Suppose 175 = 5*q + 3*f, -29*f + 24*f = 0. Calculate the highest common factor of q and z. 7 Let b(a) = -a**3 - 3*a**2 - 5. Suppose -r = -6*r - 20. Let v be b(r). What is the greatest common divisor of 11 and v? 11 Suppose 0*x = -5*x - 2*z + 1292, 0 = 4*x + 4*z - 1024. What is the highest common factor of x and 52? 52 Let s be (-1 - -28)*2/6. Let w(c) = -c**3 + 8*c**2 - 4*c - 12. Let g be w(6). What is the greatest common divisor of s and g? 9 Suppose 0 = -3*j + 32 + 37. Suppose j*d - 14 = 22*d. Calculate the highest common divisor of 14 and d. 14 Suppose 13 = -s - 4*m, -2*s - 3*s = -4*m - 31. Suppose -r + 3*v = 61, -v = -4*r + s*v - 236. Let f = r + 85. Calculate the highest common factor of 9 and f. 9 Let i(u) = u**2 + 4*u - 10. Let a be i(5). What is the greatest common divisor of 245 and a? 35 Suppose -4 = 2*g - k - k, -11 = 4*g - 5*k. Suppose -13 + 58 = -5*h. Let w = 1 - h. What is the highest common factor of g and w? 1 Let p(v) = 3*v - 8. Let n(u) = 2*u - 7. Let o(g) = -5*n(g) + 4*p(g). Let f be (-2 + -2)/8*-8. Let y be o(f). Calculate the greatest common divisor of y and 44. 11 Suppose 4*m - 5 + 25 = -2*b, 5*b + 2*m = -10. Let y be -5*(b - 8/20). Calculate the highest common factor of y and 6. 2 Let n(o) = -3*o - 4. Let d be (20/(-15))/((-2)/(-6)). Let h be n(d). Calculate the greatest common factor of 8 and h. 8 Suppose j + 562 = -4*r - 2*j, -2*j = 4*r + 564. Let q = r - -234. What is the greatest common factor of 23 and q? 23 Let d be 2 + 34 + 0 + -2. Suppose 0 = 2*w - d - 30. Suppose -4*m + 8*m - 192 = -4*q, 3*m + 5*q - 144 = 0. Calculate the highest common factor of m and w. 16 Let g be (560/(-24))/((-1)/(-3)). Let r be ((-7)/2)/(5/g). Suppose -2*j + 19 = -2*d + 3*d, -4*j = -d - 23. What is the highest common factor of j and r? 7 Let h(l) = -l. Let p be h(4). Let t(m) = -12*m + 1. Let f be t(p). Let i = -34 + f. Calculate the highest common factor of i and 6. 3 Let g = -690 - -4067. Let t be g/44 - 1/(-4). Calculate the greatest common factor of 7 and t. 7 Let m(k) = 43*k**2 - k + 1. Let p be m(2). Let r be 1206/22 + 12/66. Let i = r - 36. What is the highest common factor of i and p? 19 Let b be ((-1)/(-2))/(4/(-24)). Let v(h) = -2*h**3 - 3*h**2 - 4*h + 1. Let w be v(b). Calculate the highest common divisor of 60 and w. 20 Let r be (-1 - 2)*16/(-3). Let h = -1 + r. Calculate the greatest common factor of h and 60. 15 Suppose -5*l - 28 = -u - u, 2*u + 5*l - 28 = 0. What is the greatest common factor of u and 56? 14 Let l be (-11)/(-9) - (-4)/(-18). Let g(f) = 11*f. Let b be g(1). Let s = b - 3. Calculate the greatest common divisor of l and s. 1 Let k(p) = p**2 + p + 1. Let i(v) = -v**3 - 12*v**2 - 12*v + 6. Let g(w) = i(w) + 3*k(w). Let m be g(-8). What is the greatest common divisor of m and 187? 17 Suppose 120 = 41*w - 38*w. Wha
{ "pile_set_name": "DM Mathematics" }
-2 Let l(k) = k**2 + 5*k - 6. Let z be l(-7). Solve 3*y = z*y - 15 for y. 3 Suppose 6*m = 32 + 58. Solve 0 = 5*a + 5 - m for a. 2 Let p(f) = -4*f + 2. Let z = -7 - -5. Let o be p(z). Solve 0*v + o = 2*v for v. 5 Let s = -3 - -3. Suppose -d - 3*o - 1 = 0, -13 = -4*d - d + 3*o. Solve -c + d*c = s for c. 0 Suppose -22 = -5*f - 7. Solve -6*v = -f*v for v. 0 Let h be -1 + (-8)/(-2) + 0. Suppose 5*t = 4*c + 13, -3*c + 4*t - 1 = 2*t. Suppose 4*l - c = -h*s + 31, -5*s + l + 26 = 0. Solve -a + s = 2*a for a. 2 Suppose -3 = -3*b + 30. Let o = b - 7. Solve -3*h = 11 + o for h. -5 Let n be (-33)/(-12) + (-1)/(-4). Let i = n + -2. Let s(q) = -q**3 - 3*q**2 + 4*q + 4. Let u be s(-4). Solve j - i = -u for j. -3 Let h(n) = 2*n - 4. Let l be h(5). Let f(g) = -g**2 + 7*g - 6. Let i be f(l). Suppose i*z = -5*z. Solve b - 5*b = z for b. 0 Suppose 52 = 2*c + 2*c. Suppose c = 2*l - z, 0 = l + z - 5. Solve l*j = j for j. 0 Let p = 7 - -2. Let g be (p - 0)/((-3)/(-4)). Solve 0 = -2*n - 2*n + g for n. 3 Let u = 7 - 3. Let z(q) = 2 - 4 + 3*q - u*q + 3*q. Let x be z(4). Solve -x*l - 10 = -l for l. -2 Suppose 0 = -v + 2*y + 26, -2*v - y - 4*y = -97. Let j = v + -11. Solve 0*n = 5*n + j for n. -5 Let a be 0 + 4 - (3 - 1). Suppose -30*z = -18*z. Suppose -3*q = -8*q + 25. Solve -t + q - a = z for t. 3 Suppose 0 = -3*b - 2*b + 40. Solve -l = -5*l + b for l. 2 Let p(q) = 1 + 5*q**2 + 0 + 3 - 4*q - q**3. Let x be p(4). Suppose 0*b = -b + 4*m + 26, x*b - 44 = m. Solve g = 3*g - b for g. 5 Suppose 4*x - 4 = -2*v, 2*v + 16 - 4 = 4*x. Let q(g) be the second derivative of -g**4/12 - g**3/6 - g. Let m be q(0). Solve x*t + 2 = -m for t. -1 Let p = 12 - 4. Suppose -x = x - p. Solve 2 = -x*s + 6 for s. 1 Let x = 0 - -10. Solve 4*i - 9*i - x = 0 for i. -2 Let v(a) = a**3 - 5*a**2 + 5*a - 2. Let b be v(4). Let u be 1 + 1 - 4 - -1. Let j = 3 - u. Solve 0 = b*q - j*q + 4 for q. 2 Let n be 4/10 - 115/(-25). Suppose 0*z = -n*z + 15. Suppose q - 4*u = 8, 2*u = -1 - z. Solve -2*a + q*a = 0 for a. 0 Suppose 0 = -2*f + 14 - 12. Solve q - f = 1 for q. 2 Suppose -24 = -5*g + 2*d - d, -10 = -3*g + 5*d. Suppose -5*r = -p + 3*p + 3, -20 = g*p. Let f = 5 - r. Solve j - 6 = f*j for j. -2 Let c be (16/(-4))/(4/(-3)). Solve -u - c*u + 8 = 0 for u. 2 Let u be (18/(-36))/(1/(-16)). Solve 7 + u = -5*s for s. -3 Suppose 2*y + 4*k - 224 = 0, 4*k - 338 = -5*y + 234. Suppose 4*m - 5*h - 1049 = 0, 0 = -4*m - h + y + 903. Let b be 12/(-42) + m/14. Solve -b = 5*p + 2 for p. -4 Let w(f) = -4 + 2 + f + 1. Let z be w(3). Solve 0 = z*j + j for j. 0 Let t = -9 - -20. Let v = 20 - t. Suppose 16 = 5*r + 1. Solve -3 = r*m - v for m. 2 Let n = -2 - -5. Suppose 7 = n*j - 29. Suppose 4*v + 5*b + 13 = -j, b = -5. Solve v = -l + 2 - 1 for l. 1 Let i be (2 - 0)/((-4)/22). Let c = -6 - i. Let n(b) = 7*b**2 - b. Let f be n(2). Solve -f = -c*j - 6 for j. 4 Let s(n) = 2*n**2 - 8*n + 6. Let j be s(4). Let r = 10 - j. Solve -r*q + 3*q - 2 = 0 for q. -2 Let i = 2 + 0. Suppose 5*z = -y + 7, 3*z = -y + 3*y - 1. Let f be (z - 2)*1 + 1. Solve 2*v - 2 - i = f for v. 2 Let k be (0 - 0)*(-3)/(-6). Solve 0 = -4*g - k*g + 12 for g. 3 Let c be (-5)/(-2)*(-1 + -1). Let w = 10 + c. Let m be 4/22 + 210/55. Solve -m - 1 = -w*f for f. 1 Let g = 2 + -1. Let l(i) = 4*i**2 + i + 1. Let k be l(-1). Suppose z - k = -2. Solve -q + g = z for q. -1 Let v = -34 - -34. Solve v = o - 1 + 2 for o. -1 Let v(j) = -j - 4. Let l be v(-4). Let d = 22 + -12. Let h be (-4 + d + -1)*1. Solve l = r - 2*r + h for r. 5 Let m(u) = -5*u**3 + 9*u**2 - 10. Let l(t) = -t**3 - 1. Let g(b) = -6*l(b) + m(b). Let q be g(-9). Let n = 6 + q. Solve n*d = 4*d + 2 for d. -1 Let q(h) = -h**3 - 6*h**2 + h + 9. Let f be q(-6). Solve o + 12 = -f*o for o. -3 Let x = -2 - -1. Let p = -25 + 26. Let v = p + x. Solve v = 2*z + z + 3 for z. -1 Let k(b) = 3*b**2 - b. Let f be k(2). Suppose -26 = -4*t - f. Let w = -1 + t. Solve -6 = -n - w for n. 3 Let f be 0 + (-1)/1 - -1. Suppose 0 = q + 5, f = -3*c - q + 1. Solve c*x = -4 + 10 for x. 3 Let i = -66 - -68. Solve i*s - 7*s - 5 = 0 for s. -1 Let z(v) = v**3 - 4*v + 2*v**2 + 3*v**2 - 5*v + 0*v**2 - 3. Let d be z(-6). Solve 5*o = 5 - d for o. -2 Let v(w) = w**2 - 13*w - 25. Let x be v(-2). Solve 27 = -x*n + 2 for n. -5 Let v be (-1)/(-3 + (2 - -2)). Let o = v - -5. Suppose n + 3*i - 8*i = 0, 46 = 4*n + 3*i. Solve -n = o*t + 6 for t. -4 Let i be (-12)/30 - (-12)/5. Solve -12 = 6*w - i*w for w. -3 Suppose 10 = 9*o - 8. Solve -6 = -4*d + o for d. 2 Let d be (-3)/(-15) + (-38)/(-10). Suppose -4*r + 7*p + 36 = 2*p, 4*p - d = -5*r. Solve 0*a - r = a for a. -4 Let r(c) = -c**2 + 15*c + 7. Let s be r(15). Let g(t) = -t - 3. Let q be g(-4). Solve -4*h + q = -s for h. 2 Suppose -5*y + 20 = -y. Suppose 0*o = y*x - 2*o, 0 = -4*x + 4*o. Solve -b - b = x for b. 0 Let x(v) = 15*v**3 + 4*v - 3. Let s be x(2). Let y(m) = m**3 + 4*m**2 - 7*m - 4. Let f be y(-5). Suppose f*t - s = t. Solve -6*n - t = -n for n. -5 Let w = 2 - -2. Suppose 3*h + 2 = h. Let v be 2 - (-6)/(w + h). Solve -v = o - 1 for o. -3 Suppose 0*s = -5*s. Let q = 0 - -2. Solve s*b = -b + q for b. 2 Let f = -4 - -3. Let p be f/2 + 39/2. Suppose 0 = -3*l - k + p, -4*k - 10 - 16 = -5*l. Solve 0*g + 3*g + l = 0 for g. -2 Let v(q) = -2*q**2 - 3*q + 10. Let c be v(-3). Solve 3*n + c = 4 for n. 1 Let a(b) = -3*b**2 - 3*b + 3. Let c be a(-3). Let q be (-1)/2 + c/(-6). Solve -q*l = 2*l + 4 for l. -1 Suppose -3*k - z = -5*z + 8, -2*k - 4*z = -28. Suppose 3*x + k*s - 281 = 6*s, 3*x - 286 = s. Suppose -4*j = 29 - x. Solve 5*n - 3 = j for n. 4 Let c = 5 - 2. Suppose -4*d = -2*g - 3*d - 3, -4*g - 3 = -c*d. Let m be g + (1 - -1) - -2. Solve -5*u - m = 4 for u. -1 Let m = 18 + -3. Suppose -3*k + 2*s + 8 + m = 0, -k - s = -6. Let b(n) = -3*n**3. Let w be b(-1). Solve -5*q + k = -w for q. 2 Let y be (-1 - 4)*(-8)/10. Suppose -5*m + 4 = -3*k, -7*k = -y*k + m - 8. Solve f + k*f = -6 for f. -2 Suppose 4*f = -2*v - 2*v + 8, -f = -4*v + 3. Solve f = u - 1 for u. 2 Let q(y) = y**3 - 4*y - 3. Let o be q(-3). Let k be (-4)/o + 712/36. Let r = 3 + 1. Solve k - r = -4*c for c. -4 Let r be 60/(-8)*(-8)/10. Let b be ((-4)/(-3))/(2/r). Solve -b*c - 1 = -13 for c. 3 Let k(s) be the third derivative of -s**6/120 + 2*s**5/15 - s**4/3 + 3*s**3/2 - 3*s**2. Let r be k(7). Let l be (2 + -2)/(r - 4). Solve -4*v - 1 + 13 = l for v. 3 Let l(w) = w**2 - 6*w + 1. Let q be l(7). Suppose -q*m = -5*m. Solve 3*v - 7*v = m for v. 0 Let p = 25 + 13. Suppose 0 = 2*m - 0*m - p. Suppose -m = -5*n + 21. Solve 3*t - 5*t = -n for t. 4 Let p(t) = -3*t - 1. Let o be p(-2). Let h(i) be the second derivative of i**5/20 - i**4/3 - i**3 + 5*i**2/2 + 3*i. Let c be h(o). Solve -5*y + 25 = -c for y. 5 Suppose 6*j + 4*j = 20. Suppose 4*x - 2 - 22 = 0. Solve j*g - x = -g for g. 2 Let t = -54 + 57. Solve -w + t*w = 0 for w. 0 Suppose 5*y = -25, 4 = 4*x + 2*y - 6. Solve 2*i + x = -3 for i. -4 Suppose 14 + 82 = 3*n. Suppose -g + 2 = 2*m, 2*m - n = -0*g - 4*g. Suppose -x + 2 + 1 = 0. Solve -x*j + g = -j for j. 5 Suppose 3*k - 2*k - 100 = 0. Suppose 6*z - k = z. Solve -p = 3*p + z for p. -5 Suppose 2*b + 3*b + 3*y - 18 = 0, 5*y = -4*b + 4. Let v = -1 - -1. Solve v = -a + 4*a + b for a. -2 Suppose 5*c - 6 = z, c = -2*c - 4*z + 22. Solve 1 = -c*y - 1 for y. -1 Suppose 5*v = -5*r, -3*r + 0*r - 14 = -4*v. Solve -v*w = w for w. 0 Suppose 3*p + 5*j - 7 = 2, 2*j + 3 = p. Let z = 6 - p. Solve 2*x - 5 = -z*x for x. 1 Let k(v) = v + 26. Let h be k(-18). Solve 0*y = 4*y + h for y. -2 Suppose -24*v + 20*v + 8 = 0, -5*x + 13 = -v. Solve 4*k = x + 5 for k. 2 Suppose -4*q + 2 = -d - 5, -d - 9 = -5*q. Solve q*t - 7 - 3 = 0 for t. 5 Let u be (-4)/(-5)*110/4. Let m = u - 13. Solve -2*t = m - 1 for t. -4 Suppose 0 = 3*m - 10 - 5. Solve 0 = -m*k - 1 - 19 for k. -4 Let p be (-14 - -10)/(-2 - 0). Suppose -6*x + x - 5*f + 25 = 0, 5*x + 3*f = 15. Let y = -5 - -9. Solve x = d - p*d + y for d. 4 Let o be (-2)/4*(0 + 0). Suppose o = -q - 4*q + 10. Suppose 5*y = -0*y + 10. Solve -q*h - y = 4 for h. -3 Suppose 2*d - 2 + 0 = 0. Let q be (1 - 0)/(d/(-13)). Let o = -8 - q. Solve o = -t - 4*t for t. -1 Let d(o) = o - 2. Let y be d(8). Let r be (3/6)/(y/60). Solve 2*n - n = -r for n. -5 Let b(u) = u. Let m be b(0). Suppose 0 = z + 5*g - 27, m*g - 2*g = 4*z - 18. Solve -5*d + 7*d + z = 0 for d. -1 Le
{ "pile_set_name": "DM Mathematics" }
mmon factor of 423 and 118346. 47 What is the greatest common divisor of 536 and 1012504? 536 What is the highest common factor of 8096 and 54560? 352 What is the greatest common divisor of 1002 and 1215? 3 Calculate the highest common factor of 5351317 and 307. 307 Calculate the highest common factor of 32 and 200096. 32 Calculate the greatest common divisor of 5632 and 5760. 128 What is the greatest common divisor of 144 and 162360? 72 What is the highest common factor of 4056 and 48? 24 What is the greatest common divisor of 64 and 9716832? 32 Calculate the greatest common divisor of 428767 and 157. 157 What is the highest common factor of 528 and 382404? 132 Calculate the greatest common factor of 18281 and 2424. 101 What is the greatest common divisor of 621 and 229908? 69 What is the highest common factor of 540610 and 140? 70 What is the highest common divisor of 13735 and 5125? 205 Calculate the greatest common divisor of 6085854 and 324. 162 Calculate the highest common divisor of 1872 and 26104. 104 What is the highest common factor of 6437 and 1256? 157 Calculate the greatest common factor of 26048 and 320. 64 What is the greatest common factor of 688292 and 308? 44 What is the highest common divisor of 36863 and 5921? 191 What is the greatest common divisor of 1961 and 74? 37 What is the greatest common divisor of 633584 and 238? 14 What is the greatest common divisor of 18 and 69669? 9 Calculate the highest common divisor of 742921 and 730. 73 Calculate the highest common factor of 5026 and 81134. 718 What is the highest common factor of 2390 and 4250854? 478 Calculate the greatest common factor of 468 and 343746. 234 What is the greatest common divisor of 45342 and 132? 66 What is the highest common divisor of 50776 and 1000? 8 What is the greatest common factor of 1375 and 4675? 275 Calculate the greatest common divisor of 735 and 172480. 245 Calculate the highest common factor of 1286 and 1423602. 1286 Calculate the greatest common factor of 10735 and 4085. 95 What is the highest common divisor of 621888 and 711? 237 What is the highest common divisor of 432 and 1374? 6 What is the greatest common divisor of 10 and 544525? 5 Calculate the greatest common factor of 1384 and 317974. 346 Calculate the greatest common divisor of 300918 and 3. 3 Calculate the greatest common divisor of 90376 and 12482. 158 What is the highest common factor of 884 and 2448? 68 Calculate the greatest common factor of 1867566 and 894. 894 What is the greatest common factor of 1736925 and 75? 75 Calculate the greatest common factor of 160316 and 416. 52 Calculate the greatest common factor of 76857 and 33. 33 Calculate the greatest common divisor of 1836629 and 34. 17 What is the greatest common factor of 96375 and 27000? 375 Calculate the greatest common divisor of 58730 and 441314. 1678 Calculate the highest common factor of 44 and 28314. 22 Calculate the greatest common divisor of 1639963 and 182. 13 Calculate the highest common factor of 18 and 1475217. 9 Calculate the highest common factor of 1328 and 52622. 166 Calculate the highest common factor of 13 and 100451. 13 What is the highest common factor of 323 and 6341? 17 Calculate the highest common divisor of 642 and 768. 6 Calculate the highest common divisor of 628 and 1964. 4 What is the greatest common divisor of 7493 and 19116? 59 What is the greatest common factor of 308 and 180092? 44 What is the greatest common divisor of 1415 and 295? 5 What is the greatest common factor of 99 and 128799? 99 Calculate the highest common factor of 2875770 and 810. 270 Calculate the greatest common divisor of 470 and 10130. 10 Calculate the greatest common factor of 1241 and 1649. 17 What is the highest common divisor of 200 and 7050? 50 Calculate the greatest common factor of 58734 and 10842. 78 What is the greatest common divisor of 455 and 256035? 65 Calculate the greatest common factor of 837 and 7812. 279 Calculate the greatest common factor of 760 and 24440. 40 What is the greatest common factor of 294801 and 975? 39 Calculate the highest common factor of 2523 and 3016667. 841 Calculate the greatest common factor of 339243 and 6. 3 What is the greatest common factor of 144595 and 3025? 605 Calculate the highest common factor of 18487 and 171. 19 What is the greatest common divisor of 32 and 12896? 32 Calculate the highest common factor of 87326 and 3384. 94 Calculate the greatest common factor of 2908 and 2619381. 727 What is the highest common factor of 662 and 9599? 331 What is the highest common divisor of 2005 and 85? 5 Calculate the greatest common factor of 7 and 2771363. 7 Calculate the greatest common divisor of 174750 and 210. 30 What is the greatest common factor of 612414 and 297? 297 Calculate the greatest common divisor of 341136 and 46. 46 What is the greatest common divisor of 315 and 3129? 21 Calculate the greatest common factor of 8585 and 595. 85 Calculate the highest common divisor of 5504993 and 39. 13 Calculate the highest common divisor of 128143 and 5969. 127 Calculate the greatest common divisor of 1053 and 34326. 9 Calculate the greatest common divisor of 36 and 2003796. 36 Calculate the greatest common divisor of 28 and 901831. 7 Calculate the highest common divisor of 4806 and 306. 18 What is the greatest common divisor of 3551010 and 10? 10 Calculate the greatest common factor of 6273 and 22644. 153 Calculate the highest common divisor of 1005976 and 328. 328 Calculate the highest common divisor of 440 and 42526. 22 What is the greatest common factor of 155346 and 1938? 102 Calculate the greatest common divisor of 158087 and 339. 113 Calculate the greatest common divisor of 3020 and 43639. 151 Calculate the greatest common divisor of 497505 and 60481. 1951 What is the highest common factor of 1218 and 105096? 174 What is the highest common factor of 888 and 31191? 111 What is the highest common factor of 365775 and 225? 75 Calculate the highest common factor of 3685199 and 413. 413 Calculate the greatest common factor of 20 and 9665. 5 What is the highest common factor of 801 and 28845? 9 Calculate the greatest common factor of 492797 and 145. 29 Calculate the highest common factor of 780 and 51740. 260 What is the greatest common divisor of 20822 and 232? 58 What is the greatest common factor of 398 and 613517? 199 What is the greatest common divisor of 334 and 4075802? 334 What is the highest common divisor of 29 and 827515? 29 What is the greatest common divisor of 25200 and 465? 15 What is the highest common factor of 55648 and 160928? 1504 Calculate the highest common divisor of 654140 and 25. 5 What is the greatest common factor of 49 and 74228? 7 Calculate the greatest common divisor of 14 and 599018. 14 What is the highest common divisor of 361 and 16891? 19 Calculate the highest common divisor of 43659 and 13671. 441 Calculate the greatest common divisor of 739059 and 3. 3 Calculate the greatest common divisor of 7434361 and 121. 121 What is the highest common divisor of 12669 and 2747? 41 What is the highest common factor of 805 and 188140? 115 Calculate the highest common factor of 477 and 338193. 477 Calculate the greatest common factor of 40 and 8090. 10 Calculate the highest common divisor of 690437 and 46. 23 Calculate the greatest common factor of 156 and 571548. 12 What is the greatest common factor of 36 and 1980144? 36 What is the greatest common factor of 814837 and 163? 163 What is the greatest common divisor of 166 and 127654? 166 Calculate the greatest common factor of 5 and 102545. 5 What is the highest common divisor of 11145 and 21495? 15 What is the greatest common divisor of 436548 and 20? 4 What is the greatest common factor of 72495 and 8505? 405 Calculate the highest common factor of 12132 and 16812. 36 Calculate the greatest common factor of 100028 and 816. 68 Calculate the greatest common factor of 546 and 9230. 26 Calculate the highest common divisor of 2845 and 250. 5 Calculate the greatest common divisor of 14497 and 123557. 133 Calculate the highest common factor of 258986 and 910. 182 What is the highest common factor of 76700 and 20? 20 What is the greatest common divisor of 431709 and 21919? 953 Calculate the highest common divis
{ "pile_set_name": "DM Mathematics" }
se 3, what is -20 - 10110000200? -10110000220 In base 9, what is -11421271 + 4? -11421266 In base 10, what is 281 + -23670? -23389 In base 13, what is -36 + cc? 96 In base 4, what is 113 + 110110? 110223 In base 8, what is 2 - -17464? 17466 In base 9, what is 1 - -6537? 6538 In base 16, what is -2 + -3b7b? -3b7d In base 5, what is 11000142 - 22? 11000120 In base 7, what is 2 - 36006? -36004 In base 11, what is -1 + -28907? -28908 In base 9, what is 658 + 16? 675 In base 11, what is 4191 - -8? 4199 In base 4, what is 20301022113 + 0? 20301022113 In base 6, what is 1211 + -344? 423 In base 12, what is -52758 - -7? -52751 In base 4, what is -2010112120 - 10? -2010112130 In base 4, what is 12132223 - 1? 12132222 In base 8, what is 0 - -146657? 146657 In base 13, what is -12c + 58? -a4 In base 10, what is -7 - 2748? -2755 In base 13, what is -15389 + 3? -15386 In base 16, what is -2 + b6c3? b6c1 In base 7, what is -5 - 2661261? -2661266 In base 2, what is 1010101101111 - -101? 1010101110100 In base 8, what is -112 + 123? 11 In base 11, what is 0 - 31358? -31358 In base 16, what is -8241 - -ca? -8177 In base 9, what is 141 + -20? 121 In base 14, what is -2399 - -9? -2390 In base 13, what is 24ba6a + 1? 24ba6b In base 13, what is 3505 - 1c? 34b6 In base 4, what is 133 - 11110? -10311 In base 5, what is -42242 - -1214? -41023 In base 8, what is -1432463 - -7? -1432454 In base 13, what is 79ab - -4? 79b2 In base 7, what is -3 - 553555? -553561 In base 4, what is -122013000 - 2? -122013002 In base 10, what is 2 + 2355? 2357 In base 3, what is -211012 + 1111200? 200111 In base 5, what is 1131 - -421? 2102 In base 14, what is 79 - -6a7? 742 In base 11, what is 905 - 14? 8a1 In base 9, what is 2886 + -7? 2878 In base 6, what is -3 - -322233? 322230 In base 9, what is 736 - -23? 760 In base 12, what is 653 + 21? 674 In base 16, what is -8b + -b9? -144 In base 16, what is 5 + -4841? -483c In base 14, what is -3a467 - -1? -3a466 In base 12, what is 2216 + -36? 21a0 In base 13, what is -41 - 1b4? -225 In base 6, what is -4 + -203041? -203045 In base 7, what is 66265016 + -3? 66265013 In base 12, what is -4 + -3067? -306b In base 13, what is -7ba + -c2? -8ac In base 2, what is 1111110000111 - 1011? 1111101111100 In base 9, what is -3182 + -3? -3185 In base 7, what is 321 - -225? 546 In base 6, what is -1441115 - 0? -1441115 In base 4, what is -122223 + -11123? -200012 In base 13, what is -1046956 - 4? -104695a In base 5, what is -314 - 1033343? -1034212 In base 15, what is -121 - -53e? 41d In base 2, what is 1 + -1010111101001110011? -1010111101001110010 In base 16, what is -8 + 221? 219 In base 11, what is -117 + 1464? 1348 In base 12, what is -1b971 + -3? -1b974 In base 7, what is 126464 - -2? 126466 In base 9, what is -3564 + -150? -3724 In base 10, what is -287992 - 1? -287993 In base 13, what is 4 + -bb1bb? -bb1b7 In base 16, what is 227170 + 1? 227171 In base 15, what is -4 - -11eee6? 11eee2 In base 3, what is 12 - 102000021200? -102000021111 In base 3, what is -21022002001 - 12? -21022002020 In base 10, what is -139182 + -9? -139191 In base 6, what is 502 + 43? 545 In base 16, what is 29 + eb6? edf In base 3, what is -12 + -1221211121011? -1221211121100 In base 7, what is 0 + 311116? 311116 In base 7, what is -1200 - 105? -1305 In base 16, what is 6 - -11075? 1107b In base 12, what is -2 - 7b94? -7b96 In base 15, what is -16 + -1697? -16ad In base 4, what is 0 - 2300231? -2300231 In base 14, what is d3a + -14? d26 In base 12, what is 101a + 126? 1144 In base 12, what is -15a1b + -aa? -15b09 In base 6, what is 11 - 3404? -3353 In base 9, what is 1 - 354125? -354124 In base 9, what is 6 - -162187? 162204 In base 6, what is 101423 + 520? 102343 In base 7, what is -5 + 43306? 43301 In base 12, what is 360 + 2b? 38b In base 8, what is -15 + 7720? 7703 In base 11, what is 2 - 18a611? -18a60a In base 16, what is -624 + 5b6? -6e In base 3, what is 200100220 + -112100? 122211120 In base 3, what is 0 - -10212012021? 10212012021 In base 9, what is 104 + 833? 1037 In base 9, what is -5 + -140313? -140318 In base 5, what is -33444 - 1442? -40441 In base 16, what is 6b5e - -4? 6b62 In base 12, what is a787 + 27? a7b2 In base 15, what is 144d5 - 1? 144d4 In base 4, what is -2 - -232323213? 232323211 In base 3, what is -102012102212 - 12? -102012110001 In base 13, what is 2 + b298? b29a In base 3, what is 10 + 1012021210011? 1012021210021 In base 11, what is 25729 - -2? 25730 In base 8, what is -16 + -42173? -42211 In base 4, what is 3300122 + -3? 3300113 In base 8, what is 5 - -22516? 22523 In base 6, what is 1 - -43400501? 43400502 In base 9, what is 1 - -25624? 25625 In base 12, what is 7 + -24150? -24145 In base 15, what is -26 - 837? -85d In base 15, what is 2107 + 2a? 2132 In base 15, what is 2 - -1530? 1532 In base 2, what is -1 - -1000010010001110? 1000010010001101 In base 10, what is -268 - 1096? -1364 In base 15, what is -22 - -14e3? 14c1 In base 11, what is -183 + 217? 44 In base 7, what is 105 + 1643? 2051 In base 15, what is -dcd - -229? -ba4 In base 4, what is 3313103 + -120? 3312323 In base 14, what is 2a - -2c? 58 In base 3, what is -1201211201 - 10? -1201211211 In base 4, what is 32200121111 + 2? 32200121113 In base 13, what is -6 - -4819? 4813 In base 4, what is 13112200 - 3? 13112131 In base 14, what is 29 + 7? 32 In base 5, what is 112034 - 144? 111340 In base 2, what is -1100000111100101 - -10? -1100000111100011 In base 14, what is 54bb8a - -1? 54bb8b In base 14, what is 37a - -18c? 528 In base 3, what is 22112 + 1100112002? 1100211121 In base 11, what is 0 + -18a60? -18a60 In base 14, what is -14d0a - -3? -14d07 In base 5, what is -201302 + 32? -201220 In base 12, what is -15805 - 3? -15808 In base 3, what is 201020011 - -2? 201020020 In base 6, what is 2 - -2240515? 2240521 In base 11, what is 60a70 + -3? 60a68 In base 9, what is 1644 + 0? 1644 In base 12, what is 1359 - 55? 1304 In base 6, what is 441 + -220322? -215441 In base 8, what is -1646 - 74? -1742 In base 6, what is -2454 - -4? -2450 In base 14, what is -142 - c? -150 In base 6, what is 10 + 32050101? 32050111 In base 16, what is -4 - 55cb? -55cf In base 8, what is -13 - -1106644? 1106631 In base 4, what is 3 + -2013122? -2013113 In base 15, what is 59d9 + 1? 59da In base 7, what is -3 - 33222? -33225 In base 9, what is -4 - -2302777? 2302773 In base 6, what is 11040 + 123? 11203 In base 13, what is 12270 - -2? 12272 In base 14, what is -87 + 20? -67 In base 14, what is -6200 + -5? -6205 In base 9, what is 17 - -6877? 7005 In base 15, what is -34655c - 3? -346560 In base 4, what is 122 + -22123? -22001 In base 12, what is -312 + -15? -327 In base 12, what is 27 + -3a3b? -3a14 In base 11, what is -456 + 258? -1a9 In base 3, what is 11 + -122000222011? -122000222000 In base 11, what is 4 - -514a52? 514a56 In base 13, what is 4a + b1? 12b In base 5, what is -103 - 141331? -141434 In base 5, what is -134124432 + 4? -134124423 In base 4, what is 313232222 - -2? 313232230 In base 13, what is 426 - -11? 437 In base 5, what is -1 - 20201134? -20201140 In base 11, what is 1 - 2763? -2762 In base 2, what is -1011100001110111 + 100? -1011100001110011 In base 5, what is -121211 + 1104? -120102 In base 14, what is 8169 + 4? 816d In base 8, what is 42242 + -12? 42230 In base 4, what is 0 + -1011131? -1011131 In base 2, what is 100 + 110001110010? 110001110110 In base 13, what is 67c757 + 4? 67c75b In base 2, what is 10101 - 1011000110000? -1011000011011 In base 2, what is -11100 - -101000100000? 101000000100 In base 16, what is 158782 - 0? 158782 In base 5, what is 21 + 314134? 314210 In base 16, what is -41 + -127f? -12c0 In base 15, what is -1 - -b9ec? b9eb In base 11, what is -30a + 480? 171 In base 6, what is -53 + 5020? 4523 In base 5, what is 1 + 4441411? 4441412 In base 6, what is -4 + -134023? -134031 In base 5, what is 113 + 11114? 11232 In base 8, what is 25172 - 5? 25165 In base 16, what is -1e68 + 2? -1e66 In base 11, what is 159a + 208? 17a7 In base 2, what is 11010011000111110 - 100? 11010011000111010 In base 10, what is 2603 - -9? 2612 In base 11, what is 4 - -3187? 3190 In base 3, what is -10 + 10010001102020? 10010001102010 In base 14, what is -3426 - 7? -342d In base 4, what is
{ "pile_set_name": "DM Mathematics" }
Round t to the nearest 100000. 600000 Let u = -10 + 10.000056. What is u rounded to five decimal places? 0.00006 Let g = -69 - -69.0000016. Round g to 6 decimal places. 0.000002 Suppose 0 = w - 1 - 2. Suppose w*b = b + 300. What is b rounded to the nearest 100? 200 Let j = 5 - -31. Let x = j + -35.36. Round x to one decimal place. 0.6 Suppose -f - 11 = -4*k, 3*k + 0*f = 4*f + 18. Let h(n) be the third derivative of -751*n**4/24 + n**3/3 + 6*n**2. Let b be h(k). Round b to the nearest 1000. -2000 Let h = -1 + 1. Let u = 3 - h. Let q = 2.97 - u. What is q rounded to one decimal place? 0 Let n = 42 + -317. What is n rounded to the nearest ten? -280 Suppose 0*d - 5*d = 0. Suppose d = 3*s - 8*s - 1000000. Round s to the nearest one million. 0 Suppose -2*v = -969 + 4569. What is v rounded to the nearest one thousand? -2000 Let a = 924126.90000025 + -924127. Let b = a + 0.1. What is b rounded to 7 dps? 0.0000003 Let k = -225560276728564.99999925 + 225560253953033. Let i = k + 22775538. Let c = i - 6. Round c to 7 decimal places. 0.0000008 Let o = -0.175 + 0.1749863. What is o rounded to 6 dps? -0.000014 Let y = -67.0000043 + 67. Round y to 6 dps. -0.000004 Let h = -0.64 - -13.14. What is h rounded to zero dps? 13 Let f(c) = c**3 + 4*c**2 - 5*c + 3. Let l be f(-5). Suppose -l*q - 2*q + 190000 = 0. Round q to the nearest 10000. 40000 Suppose -o = -0*o - 1570. Round o to the nearest one hundred. 1600 Let j = -32400 + 210400. Round j to the nearest 10000. 180000 Let d = 14.844 - 15. Let x = d + 0.2. Round x to 2 decimal places. 0.04 Let t = 160029 + -92908. Let h = -67092.011 + t. Let v = h + -29. Round v to 2 decimal places. -0.01 Let g = 4.5 + -4. Let b = g + -0.24. What is b rounded to 1 dp? 0.3 Let j = 89022 - 31422. Suppose u + 2*u = j. Round u to the nearest 1000. 19000 Let f be (-2)/(-8) - 22/(-8). Suppose 0 = 7*d - f*d. Suppose d = -0*t - 3*t - 450. Round t to the nearest 100. -200 Let u be 1/(-4) + (-28)/16. Let n be u/(6/(-9)) + -3. Suppose 3*v + 1914 = -4*m - n*v, 2402 = -5*m + v. Round m to the nearest 100. -500 Let h(m) = -12222*m**3 - 2*m**2 + m + 9. Let q be h(3). What is q rounded to the nearest one hundred thousand? -300000 Let t = 9294452.0000028 - 9294449. Let v = 3 - t. Round v to six decimal places. -0.000003 Let m = 0.12247 - 0.198. Let d = -0.13402 + m. Let q = d - -0.21. What is q rounded to four dps? 0.0005 Let l = -16 + 16.000056. What is l rounded to 5 decimal places? 0.00006 Let c = -0.4 + -0.6. Let g = -0.6 + c. Let w = 1.60069 + g. What is w rounded to four decimal places? 0.0007 Let z(j) = j - 14*j**2 + 20639*j**2 - 1 + 5. Let p be z(-4). Round p to the nearest one hundred thousand. 300000 Let k = 63.000025 + -63. What is k rounded to 6 dps? 0.000025 Let f = -0.008 - -0.0080046. Round f to six dps. 0.000005 Let q = 0.45 + -0.450084. What is q rounded to 5 dps? -0.00008 Let h = 17 - 14.2. Let y = -12.2 + h. Let w = -3.6 - y. Round w to zero decimal places. 6 Let q = -11.00011 - -11. Round q to five decimal places. -0.00011 Let g be (-11)/(11/600)*210. Round g to the nearest ten thousand. -130000 Let o = -126 - -253. Let m = -124.14 + o. Let b = m - 2.733. Round b to 2 decimal places. 0.13 Let g = 68 + -66.86. What is g rounded to 1 decimal place? 1.1 Let l(t) = 751*t**3 - t**2 - 2*t. Let c be l(2). Round c to the nearest one thousand. 6000 Suppose -5*l - 19181 = -405946. Let p(y) = -444*y**3 + 3*y**2 + 3*y + 3. Let s be p(4). Let u = s + l. What is u rounded to the nearest 10000? 50000 Let q = -0.075 + 71.075. Let f = -1007520128 + 1007520198.9999961. Let r = f - q. What is r rounded to 6 dps? -0.000004 Suppose -7*g + 2*g = 15, -2*b - 2802 = -2*g. Let z = 2133 + b. Let d = 1259 - z. What is d rounded to the nearest 100? 500 Let r = -18310.5299996 + 18309.93. Let m = 0.6 + r. Round m to six decimal places. 0 Suppose -9*g + 3*g - 5334000 = 0. What is g rounded to the nearest one hundred thousand? -900000 Suppose r = 2*r. Suppose 3*i - 12 = r, -5*i = 2*n - 0*n + 15780. Round n to the nearest one thousand. -8000 Let n = 22554.37338 + -22552. Let y = -2.37 + n. Round y to four decimal places. 0.0034 Let y = 23184.00025 - 23189. Let t = y - -5. Round t to 4 decimal places. 0.0003 Let j = 0.9 - 0.1. Let x = j + -0.1. Let l = -0.699999 + x. What is l rounded to six dps? 0.000001 Let a = 2012 - 2932. What is a rounded to the nearest one hundred? -900 Let q = 113 - 112.99929. Round q to 4 decimal places. 0.0007 Let z = -30.1718 + 0.1518. Let y = 36.5 + -5.5. Let m = y + z. What is m rounded to 1 dp? 1 Let q = -3.04 - -3. Let t = 0.04000019 + q. What is t rounded to 7 decimal places? 0.0000002 Suppose 2 = 2*u - 8. Suppose 5*d = 15, -2*r - 21985 = -0*d + u*d. What is r rounded to the nearest 10000? -10000 Let i = 1.87 - -0.53. Let y = -0.072721547 + 2.472721327. Let b = y - i. Round b to 7 dps. -0.0000002 Suppose 5*b - 143000 = -2*n, -b + 4*n + 28600 = -0*n. Round b to the nearest 1000. 29000 Let h = 490.13 - 487. What is h rounded to the nearest integer? 3 Let z = 16 + -27. Let b = z - -17. Let l = b + -6.0011. What is l rounded to four decimal places? -0.0011 Let m = 1.6 + -1.59885. What is m rounded to four dps? 0.0012 Let o = -3 + 4. Let m = o + -1.000032. Round m to five decimal places. -0.00003 Let i = 1 + -0.7. Let u = 0.31 - i. Let k = u - 0.010068. What is k rounded to five decimal places? -0.00007 Let l = 3989.1597 + -3989. Let v = -0.171 + l. Round v to 3 decimal places. -0.011 Suppose -i - 55 + 21 = r, 4*r + 2*i = -128. What is r rounded to the nearest 100? 0 Let g be (2/4)/((-1)/(-20)). Suppose 0 = 2*f + 3*s - 20194, 0 = 3*s + 2*s + g. Round f to the nearest one thousand. 10000 Suppose -k - 1 = -4, -3*z + 5*k - 84300015 = 0. Round z to the nearest 1000000. -28000000 Let s = -0.269 - 4.391. What is s rounded to 1 decimal place? -4.7 Let u = -18 - -2. Let x = -15.9888 - u. Round x to three decimal places. 0.011 Let k = 0.9 + -3. Let b = -2.099928 - k. Round b to five decimal places. 0.00007 Let s = 3419595.600041 - 3419586. Let a = s - 9.6. What is a rounded to 5 dps? 0.00004 Let t = 547805200.57999887 + -547805203. Let o = 2.42 + t. What is o rounded to 7 decimal places? -0.0000011 Let o = -68.9986 + 69. What is o rounded to 4 decimal places? 0.0014 Let t = -12 + 11.76. Let z = t + 1.94. Round z to zero decimal places. 2 Let c = 27 + -26.99999961. Round c to seven dps. 0.0000004 Let q = -197 - -336. Let g = q + -132.1. What is g rounded to zero decimal places? 7 Let i = 63.29 + 0.71. Let w = i + -63.9957. Round w to 3 dps. 0.004 Let p = 857 + -962.2. Let h = 0.148 - 92.148. Let v = p - h. Round v to zero dps. -13 Let d = 0.1999992 + -0.2. What is d rounded to 7 decimal places? -0.0000008 Let l = -2.78898 - 8.2108. Let m = -11 - l. Round m to 4 decimal places. -0.0002 Let g = -0.02613 - 2.28687. Let u = -2.3 - g. Round u to 2 decimal places. 0.01 Let w = 36.63 + -39.7. Round w to one dp. -3.1 Let x = -30.6959 - 0.0041. What is x rounded to the nearest integer? -31 Let k = 67.31 + -67. Round k to 1 dp. 0.3 Let x = 427047001.0000001 - 427047020. Let l = x - -19. Round l to six dps. 0 Let f = 2.72 - 6. Let y = f - -1.57. Round y to one decimal place. -1.7 Let z = 110378.023 + -110426. Let j = -48 - z. Round j to three decimal places. -0.023 Let z = -1.73 - -1.73178. What is z rounded to 4 decimal places? 0.0018 Let g = 425869014432 - 425869009102.73796773. Let h = g + -5421.262033. Let q = h - -92. What is q rounded to seven decimal places? -0.0000007 Let s(x) = 716682*x**2 - 1. Let o be s(1). Suppose 5*b - 2783319 - o = 0. Round b to the nearest one million. 1000000 Suppose 3*j = 5*j. Round j to the nearest ten. 0 Let m = 4 + -1. Let u = -1641.7002 - -1638.7. Let z = m + u. Round z to three dps. 0 Let i be 4/6 - (-31085530)/3. Suppose -5*h + i = 711844. What is h rounded to the nearest 100000? 1900000 Let n = -7.685 - 2.604. Let z = 11.3 + n. Let j = -1 + z. Round j to three dps. 0.011 Let u(a) = -17*a + 5. Let h be u(-11). Let l be h/((8/(-11875))/4). Round l to the nearest 100000. -1100000 Let m = 610984409.99999916 - 610984395. Let i = -15 + m. What is i rounded to 7 dps? -0.0000008 Suppose -3*i - 8 = -5*i. Suppose i*b + 408 = 6*b. Suppose 4*j + 1008 = 2*c, c - 3*j = 302 + b. What is c rounded to the nearest 1000? 1000
{ "pile_set_name": "DM Mathematics" }
21101 -100111100111 (base 2) to base 9 -3426 What is -322202 (base 4) in base 15? -119b -32023 (base 5) to base 13 -c86 12012 (base 5) to base 15 3dc Convert -204 (base 13) to base 4. -11112 Convert 2e9 (base 15) to base 5. 10134 Convert -3343210 (base 5) to base 13. -20c24 Convert -2334 (base 5) to base 4. -11120 Convert 70406 (base 8) to base 7. 150233 2b635 (base 12) to base 8 167711 Convert -1001021122 (base 3) to base 2. -101000010001010 What is -1511 (base 12) in base 15? -ae1 -11110100011111 (base 2) to base 7 -63422 -3344 (base 8) to base 7 -5100 Convert 21b (base 13) to base 8. 552 Convert 351044 (base 6) to base 11. 20640 -1b8c (base 16) to base 6 -52352 ac3 (base 13) to base 11 1431 -510550 (base 6) to base 15 -be76 -6042 (base 9) to base 13 -2015 -1a3 (base 12) to base 9 -326 What is 711 (base 10) in base 13? 429 5208 (base 11) to base 9 10422 21024 (base 7) to base 11 3974 What is -671 (base 15) in base 12? -a14 Convert -529b (base 14) to base 7. -56354 What is 1105 (base 6) in base 11? 214 4067 (base 11) to base 9 7356 -110461 (base 9) to base 8 -200705 What is -6c90 (base 13) in base 3? -210000200 What is 8380 (base 11) in base 4? 2231123 What is 131442 (base 7) in base 16? 6003 What is 3412 (base 5) in base 16? 1e2 Convert -413230 (base 5) to base 15. -4045 What is 1a40 (base 12) in base 16? c90 349 (base 16) to base 3 1011011 Convert 2222 (base 5) to base 13. 1b0 Convert 533 (base 11) to base 2. 1010000001 What is 1164 (base 7) in base 6? 2010 What is 233403 (base 6) in base 12? b863 Convert 2021 (base 4) to base 16. 89 What is d507 (base 15) in base 10? 45007 Convert -21133 (base 4) to base 10. -607 -18e6 (base 16) to base 15 -1d4e -33314 (base 7) to base 13 -3a85 -32221 (base 4) to base 12 -661 12440 (base 5) to base 16 3e3 Convert -2343 (base 6) to base 8. -1067 5dd (base 15) to base 14 6b3 -12420 (base 5) to base 12 -6a1 Convert 286 (base 13) to base 16. 1c0 1010000010011 (base 2) to base 7 20661 What is 21435 (base 6) in base 5? 43400 What is -640b (base 14) in base 8? -41553 10772 (base 9) to base 13 3374 What is -9956 (base 12) in base 16? -4212 -11021032 (base 4) to base 8 -51116 -29d (base 15) to base 4 -21112 1310420 (base 5) to base 6 315051 10100110000100101 (base 2) to base 13 2c919 Convert -1ca (base 15) to base 10. -415 -26de (base 16) to base 9 -14575 Convert -407 (base 11) to base 9. -605 What is 1110012 (base 3) in base 14? 558 Convert 1202220 (base 3) to base 2. 10100001101 What is -5643 (base 13) in base 4? -2330112 What is -1219 (base 13) in base 4? -213331 Convert -1305 (base 6) to base 2. -101001001 Convert -1aa7 (base 16) to base 6. -51331 Convert -10122102002 (base 3) to base 5. -4243431 1a70 (base 12) to base 15 e6c Convert 351324 (base 6) to base 7. 153616 What is -341031 (base 6) in base 13? -10114 What is -11001101 (base 2) in base 13? -12a Convert -242155 (base 6) to base 2. -101001011110111 -1ca (base 16) to base 2 -111001010 What is 80824 (base 9) in base 12? 2691a What is 333211 (base 4) in base 5? 112234 -468 (base 9) to base 2 -110000010 Convert 12811 (base 9) to base 5. 234202 3797 (base 13) to base 11 5a30 What is -13a49 (base 14) in base 15? -e64d Convert d1 (base 15) to base 14. 100 393 (base 11) to base 16 1d1 900 (base 11) to base 14 57b What is -1744 (base 10) in base 16? -6d0 123012 (base 7) to base 3 1011001210 What is 230512 (base 6) in base 5? 1112003 Convert 650 (base 8) to base 10. 424 -111110110101 (base 2) to base 3 -12111221 Convert 432 (base 6) to base 3. 20002 -11000 (base 2) to base 3 -220 Convert -111202 (base 3) to base 8. -563 What is -53592 (base 10) in base 3? -2201111220 1598 (base 12) to base 11 1a21 Convert -235 (base 9) to base 10. -194 What is 27603 (base 9) in base 8? 44432 13210 (base 4) to base 7 1261 Convert 236 (base 15) to base 11. 416 Convert -a2d (base 14) to base 13. -bac What is -990 (base 10) in base 13? -5b2 -1d0 (base 14) to base 5 -3003 What is -6aa6 (base 13) in base 8? -35240 What is -1110112 (base 3) in base 9? -1415 Convert -313023 (base 7) to base 14. -158ba Convert 3310 (base 6) to base 11. 633 -460 (base 9) to base 14 -1d0 -207 (base 15) to base 5 -3312 What is -9 (base 12) in base 16? -9 Convert -31520 (base 6) to base 9. -5803 What is -2210 (base 3) in base 8? -113 What is -738 (base 14) in base 7? -4101 What is -5c1 (base 15) in base 7? -3544 -573 (base 8) to base 14 -1d1 Convert 120000220 (base 3) to base 6. 122423 3322 (base 6) to base 12 542 -1003100 (base 4) to base 2 -1000011010000 -2608 (base 9) to base 2 -11110100000 Convert -120001 (base 3) to base 9. -501 Convert e7d (base 15) to base 2. 110011000100 Convert 13104 (base 5) to base 8. 2005 Convert -212 (base 4) to base 7. -53 -1122211021 (base 3) to base 12 -16ab1 -10b62 (base 14) to base 4 -21323102 Convert 324243 (base 5) to base 8. 25676 Convert -210301 (base 4) to base 6. -14521 What is 2222100120 (base 3) in base 6? 1131110 What is -100211022 (base 3) in base 14? -2879 -51a (base 12) to base 16 -2e6 6fa (base 16) to base 10 1786 -56412 (base 8) to base 10 -23818 Convert -541 (base 11) to base 5. -10100 What is -b89 (base 16) in base 8? -5611 Convert 3435 (base 9) to base 8. 4757 1011110000100 (base 2) to base 6 43512 Convert 10000001100001 (base 2) to base 7. 33111 -1000000 (base 2) to base 5 -224 Convert 866 (base 9) to base 15. 323 Convert 154020 (base 6) to base 2. 11101100011100 Convert 13125 (base 9) to base 4. 2022110 Convert -f3 (base 16) to base 3. -100000 -2998 (base 10) to base 3 -11010001 2dc (base 14) to base 6 2414 Convert -122222021 (base 3) to base 15. -3d37 -5624 (base 7) to base 10 -2027 4630 (base 7) to base 13 9ca -510 (base 12) to base 5 -10412 10362 (base 12) to base 16 52fa Convert -2004111 (base 5) to base 9. -47532 Convert 1bbb7 (base 13) to base 8. 152721 What is -210224 (base 7) in base 3? -1211120012 -147 (base 12) to base 9 -241 -103100000 (base 4) to base 11 -54270 What is -1001010111 (base 2) in base 5? -4344 What is 4405 (base 11) in base 6? 42525 What is -1332132 (base 4) in base 11? -6099 Convert 111101 (base 3) to base 5. 2421 -22364 (base 8) to base 9 -13871 What is -aa7 (base 14) in base 2? -100000111011 What is -a6c (base 15) in base 6? -14520 -871 (base 12) to base 7 -3415 -44a (base 16) to base 12 -776 What is 3a4 (base 13) in base 14? 33b 1305 (base 9) to base 13 5a2 Convert 11002200 (base 3) to base 5. 43423 -1262 (base 15) to base 8 -7515 Convert -2423 (base 11) to base 9. -4313 Convert 26949 (base 11) to base 7. 216661 Convert -19df (base 16) to base 8. -14737 -32b2 (base 12) to base 4 -1113212 What is -31 (base 12) in base 8? -45 What is -13161 (base 9) in base 5? -241014 28b1 (base 13) to base 11 4475 Convert -1100111010 (base 2) to base 8. -1472 What is -510 (base 11) in base 12? -434 321 (base 12) to base 7 1222 5a5 (base 13) to base 14 500 Convert 31013 (base 6) to base 11. 30aa What is beab (base 16) in base 4? 23322223 36343 (base 7) to base 5 300224 -6a48 (base 14) to base 3 -221100202 1110000100111 (base 2) to base 4 1300213 -3a27 (base 12) to base 15 -1e8a Convert -103d (base 14) to base 8. -5357 What is 169 (base 13) in base 6? 1104 -220210001 (base 3) to base 6 -215344 Convert 1320314 (base 6) to base 10. 72694 What is -11230 (base 6) in base 14? -826 Convert 2094 (base 16) to base 4. 2002110 Convert -10415 (base 6) to base 14. -759 100110111 (base 2) to base 13 1ac Convert 5409 (base 10) to base 8. 12441 What is -111121111 (base 3) in base 11? -7500 Convert -2374 (base 14) to base 8. -14042 What is 1520 (base 6) in base 13? 255 Convert -1627 (base 11) to base 16. -826 46ac (base 13) to base 15 2e2e 1111112202 (base 3) to base 7 152114 What is 30414 (base 8) in base 14? 480c What is -220 (base 8) in base 10? -144 What is 612 (base 12) in base 15? 3d8 Convert -1447 (base 8) to base 16. -327 What is -1110000100 (base 2) in base 7? -2424 -110010100 (base 2) to base 14 -20c What is 8118 (base 10) in base 3? 102010200 -717 (base 13) to base 6 -5323 What is 44b (base 12) in base 6? 2535 What is -36003 (base 9) in base 8? -56774 21066 (base 7) to base 6 40013 102010302 (base 4) to base 13 2790c 1234 (base 6) to base 5 2220 -21302 (base 7) to base 6 -40302 What is -321441 (base 5) in base 12? -635b Convert -253 (base 16) to ba
{ "pile_set_name": "DM Mathematics" }
, -2759569, -3219485? 2*x**2 - 459942*x + 11 What is the w'th term of -39801474, -39801476, -39801478, -39801480? -2*w - 39801472 What is the b'th term of -39928343, -39928342, -39928341, -39928340, -39928339? b - 39928344 What is the f'th term of -670649, -670677, -670705? -28*f - 670621 What is the w'th term of 272, -2173, -6278, -12067, -19564, -28793, -39778? -4*w**3 - 806*w**2 + w + 1081 What is the m'th term of -11705, -97831, -332805, -791051, -1546993, -2675055, -4249661, -6345235? -12404*m**3 + 702*m - 3 What is the k'th term of 1001843, 2003677, 3005511? 1001834*k + 9 What is the u'th term of -63858, -63083, -60984, -56901, -50174, -40143, -26148? 110*u**3 + 2*u**2 - u - 63969 What is the k'th term of 51456, 51464, 51472, 51480? 8*k + 51448 What is the o'th term of -1189251, -1189388, -1189525? -137*o - 1189114 What is the w'th term of -16624477, -16624480, -16624483, -16624486, -16624489? -3*w - 16624474 What is the o'th term of -2958, -2962, -2992, -3048, -3130, -3238, -3372? -13*o**2 + 35*o - 2980 What is the k'th term of -2097, -7597, -16773, -29625? -1838*k**2 + 14*k - 273 What is the n'th term of -4240, -4242, -4248, -4252, -4248, -4230, -4192? n**3 - 8*n**2 + 15*n - 4248 What is the x'th term of 5882, 5914, 5956, 6008? 5*x**2 + 17*x + 5860 What is the b'th term of 20, 591, 2080, 4937, 9612? 75*b**3 + 9*b**2 + 19*b - 83 What is the q'th term of 1069010, 2138025, 3207016, 4275971, 5344878, 6413725, 7482500? -2*q**3 + 1069029*q - 17 What is the f'th term of 9894, 9689, 9348, 8871, 8258? -68*f**2 - f + 9963 What is the l'th term of 21110, 84404, 189892, 337574, 527450, 759520, 1033784? 21097*l**2 + 3*l + 10 What is the f'th term of -2502, -4889, -7260, -9603, -11906, -14157, -16344? 2*f**3 - 4*f**2 - 2389*f - 111 What is the n'th term of 106, 78, -98, -494, -1182, -2234? -12*n**3 - 2*n**2 + 62*n + 58 What is the q'th term of 7930, 19211, 30492, 41779, 53078, 64395, 75736? q**3 - 6*q**2 + 11292*q - 3357 What is the l'th term of 81035, 84267, 89659, 97217, 106947, 118855, 132947? l**3 + 1074*l**2 + 3*l + 79957 What is the h'th term of 78, -566, -1606, -3240, -5666, -9082, -13686? -33*h**3 - 413*h + 524 What is the a'th term of 145646, 581868, 1308670, 2326052, 3634014, 5232556, 7121678? 145290*a**2 + 352*a + 4 What is the h'th term of -7028, -5871, -3926, -1199, 2304, 6577? -h**3 + 400*h**2 - 36*h - 7391 What is the s'th term of 20475, 20465, 20471, 20499, 20555, 20645? s**3 + 2*s**2 - 23*s + 20495 What is the k'th term of 10807947, 10807948, 10807951, 10807956, 10807963, 10807972, 10807983? k**2 - 2*k + 10807948 What is the k'th term of 314, 689, 1290, 2135, 3242, 4629? 3*k**3 + 95*k**2 + 69*k + 147 What is the m'th term of -9985, -9909, -9763, -9511, -9117, -8545, -7759? 6*m**3 - m**2 + 37*m - 10027 What is the a'th term of -58330461, -116660924, -174991387, -233321850, -291652313? -58330463*a + 2 What is the j'th term of 16194890, 32389779, 48584668, 64779557, 80974446? 16194889*j + 1 What is the k'th term of 12325, 55031, 97735, 140437, 183137, 225835, 268531? -k**2 + 42709*k - 30383 What is the i'th term of -83889, -167723, -251557, -335391, -419225? -83834*i - 55 What is the i'th term of -249314, -249280, -249246, -249212? 34*i - 249348 What is the c'th term of -393, 632, 3383, 8712, 17471, 30512, 48687, 72848? 142*c**3 + 11*c**2 - 2*c - 544 What is the t'th term of -38523157, -38523164, -38523183, -38523220, -38523281, -38523372, -38523499? -t**3 - 38523156 What is the n'th term of -466449, -466437, -466425? 12*n - 466461 What is the r'th term of -820720, -820725, -820730? -5*r - 820715 What is the q'th term of -10588, -42326, -95218, -169264? -10577*q**2 - 7*q - 4 What is the z'th term of 167765, 670803, 1509201, 2682959, 4192077? 167680*z**2 - 2*z + 87 What is the j'th term of 796, 1671, 2532, 3373, 4188, 4971? -j**3 - j**2 + 885*j - 87 What is the f'th term of 4020135, 8040276, 12060415, 16080552, 20100687, 24120820? -f**2 + 4020144*f - 8 What is the y'th term of 3619, 12072, 20525, 28978? 8453*y - 4834 What is the p'th term of -60451, -118870, -177289? -58419*p - 2032 What is the m'th term of -25340, -51747, -78154, -104561? -26407*m + 1067 What is the u'th term of 2711, 5400, 8083, 10766, 13455? u**3 - 9*u**2 + 2709*u + 10 What is the m'th term of -463, -2074, -4739, -8452, -13207? m**3 - 533*m**2 - 19*m + 88 What is the t'th term of 34018141, 34018142, 34018143, 34018144, 34018145, 34018146? t + 34018140 What is the c'th term of 53331648, 106663297, 159994946, 213326595, 266658244? 53331649*c - 1 What is the z'th term of -708389, -1416791, -2125207, -2833643, -3542105, -4250599, -4959131? -z**3 - z**2 - 708392*z + 5 What is the h'th term of 3650, 7389, 11126, 14861, 18594? -h**2 + 3742*h - 91 What is the p'th term of 40715, 163162, 367285, 653084, 1020559, 1469710, 2000537? 40838*p**2 - 67*p - 56 What is the k'th term of 17223944, 34447897, 51671848, 68895797? -k**2 + 17223956*k - 11 What is the l'th term of -16643, -66509, -149589, -265859, -415295, -597873? 4*l**3 - 16631*l**2 - l - 15 What is the j'th term of 459484, 459430, 459332, 459184, 458980? -j**3 - 16*j**2 + j + 459500 What is the m'th term of -42339445, -42339447, -42339449? -2*m - 42339443 What is the z'th term of 302, 2523, 6666, 12731, 20718, 30627, 42458? 961*z**2 - 662*z + 3 What is the m'th term of -2358, -4613, -6678, -8457, -9854, -10773? 16*m**3 - m**2 - 2364*m - 9 What is the r'th term of -8240525, -16481048, -24721567, -32962082? 2*r**2 - 8240529*r + 2 What is the u'th term of 126, -5, -332, -945, -1934, -3389? -15*u**3 - 8*u**2 - 2*u + 151 What is the g'th term of -2727425, -2727184, -2726783, -2726222, -2725501, -2724620, -2723579? 80*g**2 + g - 2727506 What is the k'th term of 693973, 2777415, 6249811, 11111155, 17361441, 25000663? -k**3 + 694483*k**2 - 509 What is the n'th term of 1244, 2989, 4734, 6479, 8224, 9969? 1745*n - 501 What is the l'th term of 660176, 660171, 660166, 660161? -5*l + 660181 What is the q'th term of -107325, -214657, -321989, -429321, -536653, -643985? -107332*q + 7 What is the u'th term of 533, 2680, 6231, 11186, 17545, 25308, 34475? 702*u**2 + 41*u - 210 What is the q'th term of -33344, -60214, -87084, -113954, -140824, -167694? -26870*q - 6474 What is the l'th term of 2323784, 2323544, 2323304, 2323064? -240*l + 2324024 What is the b'th term of -8311, -32959, -73819, -130891? -8106*b**2 - 330*b + 125 What is the p'th term of 56766, 113569, 170410, 227289, 284206, 341161, 398154? 19*p**2 + 56746*p + 1 What is the z'th term of 47577, 47407, 47237, 47067? -170*z + 47747 What is the x'th term of 533728, 1067424, 1601110, 2134780, 2668428, 3202048, 3735634, 4269180? -x**3 + x**2 + 533700*x + 28 What is the x'th term of -45842942, -45842943, -45842944? -x - 45842941 What is the w'th term of 4539199, 9078391, 13617583, 18156775, 22695967? 4539192*w + 7 What is the v'th term of 155094, 310193, 465292? 155099*v - 5 What is the s'th term of 150423, 601529, 1353331, 2405829? 150348*s**2 + 62*s + 13 What is the f'th term of 514674, 514682, 514690? 8*f + 514666 What is the n'th term of -11702, -46116, -103488, -183830, -287154? -2*n**3 - 11467*n**2 + n - 234 What is the v'th term of 166482, 666169, 1498984, 2664927, 4163998? 166564*v**2 - 5*v - 77 What is the h'th term of -164032504, -164032500, -164032496? 4*h - 164032508 What is the j'th term of -9892, -19717, -29470, -39151, -48760? 36*j**2 - 9933*j + 5 What is the c'th term of 16145678, 32291356, 48437034, 64582712, 80728390? 16145678*c What is the w'th term of 102, -348, -1368, -2958, -5118, -7848? -285*w**2 + 405*w - 18 What is the j'th term of 8352071, 16704088, 25056105, 33408122, 41760139? 8352017*j + 54 What is the v'th term of 33800, 33049, 31794, 30035, 27772, 25005? -252*v**2 + 5*v + 34047 What is the v'th term of -244734, -244642, -244480, -244242, -243922? v**3 + 29*v**2 - 2*v - 244762 What is the b'th term of -99618753, -99618750, -99618735, -99618702, -99618645, -99618558, -99618435, -99618270? b**3 - 4*b - 99618750 What is the j'th term of 51641, 103286, 154929, 206570, 258209, 309846? -j**2 + 51648*j - 6 What is the h'th term of -20411, -20547, -20683, -20819? -136*h - 20275 What is the r'th term of 11370, 11392, 11416, 11442, 11470, 11500? r**2 + 19*r + 1
{ "pile_set_name": "DM Mathematics" }
e 3*z - 15*z = -60. Suppose 3*q = -3*a + 6*a - 315, -4*a - z*q + 465 = 0. Calculate the remainder when a is divided by 16. 14 What is the remainder when 866 is divided by (-8)/10 + (72/(-40))/9 - -15? 12 Let p = 73 + -194. Let k = p - -154. Calculate the remainder when 128 is divided by k. 29 What is the remainder when 1210 is divided by 28/(-6)*(54/(-45) - (-4224)/(-280))? 70 Let g be -5 - 21/(63/(-9)). Calculate the remainder when 275 is divided by (g + -5 + 5)*95/(-2). 85 Let o = 85 + -59. Let h = o - 3. Suppose -8 + h = a. What is the remainder when 55 is divided by a? 10 Suppose 5*j - 123 = -2*w, 2*w - 3*w = -3*j + 65. Calculate the remainder when ((108/(-8))/(-1))/((-3)/(-18)) is divided by j. 12 Let d(v) = -v**2 + 14*v - 23. Let g be d(22). Let i = -175 - g. Suppose q + q - 4*s - 194 = 0, -5*s = 5*q - 440. Calculate the remainder when q is divided by i. 19 Suppose 164 = 7*r - 3*r. Suppose 27*n + 1386 - 4680 = 0. Calculate the remainder when n is divided by r. 40 What is the remainder when 270/2*((-408)/(-36))/17 is divided by 41? 8 Suppose 2*d + 213 = 731. Let n = 263 - d. What is the remainder when n is divided by 4? 0 Suppose 2*o = n, -2*n - 7*o + 3*o + 40 = 0. Calculate the remainder when 347 is divided by n. 7 Calculate the remainder when 1192 is divided by -4 + (-7 + 78/6 - -90). 88 Suppose 4*q + 24 = 0, -839*m + q = -840*m + 1669. What is the remainder when m is divided by 335? 0 Let m(h) = h**2 - 4*h + 688. Suppose 4*k = -k + 3*k. Let z be m(k). What is the remainder when (z/12)/(4/6) is divided by 11? 9 Let c = -16306 - -16880. Calculate the remainder when c is divided by 144. 142 Suppose 9 = -3*n, 15*v - 1758 = 14*v + 4*n. What is the remainder when v is divided by 46? 44 Suppose 3*v - 162 = 5*y + 367, -2*y = -5*v + 888. Let k = v + -92. What is the remainder when 262 is divided by k? 4 Let t be (-5)/(-20) - (-287)/4. Let m(o) = o**3 - 11*o**2 - 40. Let l be m(10). What is the remainder when (-5)/(l/t)*21 is divided by 15? 9 Let q(s) = s**2 - 4*s - 14. Let n be q(12). Suppose 0 = 6*u - n - 2. Calculate the remainder when 27 is divided by u. 13 Suppose -c - 766 = -n, 3*n = -n - 6*c + 3144. Calculate the remainder when n is divided by 28. 18 Let z(s) = s**3 + 22*s**2 - 51*s - 633. Calculate the remainder when 1085 is divided by z(-23). 7 Suppose -5*u - 1241 = -4*x, -x = u - 330 + 49. Calculate the remainder when x is divided by (-2)/2 - (-150)/2. 72 Suppose 24*r - 972 = -492 + 1944. What is the remainder when r is divided by 6? 5 Suppose 0 = 2*g + 46 - 60, 2*a - 25539 = 3*g. Calculate the remainder when a is divided by 77. 75 Suppose 50*z - 374 = -90*z + 1306. Suppose -9*l = l - 120. What is the remainder when z is divided by l? 0 Suppose -36567 = -82*q - 34353. Suppose 5*d - 4*m - 34 = 0, 0 = -0*d - 4*d + 3*m + 27. Calculate the remainder when q is divided by d. 3 Let c = 31 - 28. Let m(h) = -2*h - 5. Let v be m(c). Let b = v - -30. What is the remainder when 73 is divided by b? 16 Let o(a) = a**3 - 52*a**2 - 48*a - 159. What is the remainder when o(53) is divided by (-108)/(-21)*42/4? 52 Let t = 42 - 38. Suppose 0 = r - t. What is the remainder when (9/15)/(r/540) - 0 is divided by 21? 18 Let w = -11750 + 11767. What is the remainder when 3075 is divided by w? 15 Suppose -648 = -3*u - i + 5*i, 2*i + 1122 = 5*u. What is the remainder when 401 is divided by u? 173 Suppose -q = 3*y + q - 64, -y - 5*q = -17. Suppose -7*u + 11*u = 16*z + 328, -2*u + 4*z + 168 = 0. Calculate the remainder when u is divided by y. 20 Suppose x - 72 = -4*i + i, -4*x = 2*i - 48. Suppose 4*f - 12*f = -i. What is the remainder when 6 is divided by f? 0 Calculate the remainder when 2005 is divided by (-28 - -30) + 330/((-9)/(-3)). 101 Suppose r - 2*v = 3*r - 60, -r + v + 40 = 0. Calculate the remainder when (-2379)/(-7) + 5/r is divided by 86. 82 Let g(v) = v**3 - 17*v**2 + 19*v - 122. Let r be g(16). Calculate the remainder when (-18 + 24)/((-3)/r) is divided by 75. 73 Suppose 189*l + 5166 = 231*l. Calculate the remainder when 242 is divided by l. 119 Let s(z) = -2*z + 14. Let l(g) = -g**2 - 14*g - 46. Let b be l(-7). Let x be s(b). Suppose -10*w + x*w = -142. What is the remainder when w is divided by 18? 17 Let o(g) = g**2 + 22*g - 46. Let q(v) = v - 11. Let c be q(-14). Calculate the remainder when 1/((21/(-171))/(-7)) is divided by o(c). 28 Let u(k) = 3*k**2 - 13*k + 39. Calculate the remainder when 93 is divided by u(3). 12 Let d(v) = -238*v - 4327. What is the remainder when 452 is divided by d(-19)? 62 Calculate the remainder when ((7/3)/(-7))/(14/(-54348)) is divided by 12. 10 Let t(u) = -21*u + 76. Let i be t(3). Suppose -i*j = -60*j + 26978. Calculate the remainder when j is divided by 48. 46 Suppose 715 = 3*u + 640. Let q = -6 - -9. Suppose i + q*i - 28 = 0. Calculate the remainder when u is divided by i. 4 Suppose -1 = g, -45*g = -4*k - 49*g + 68. Suppose 2*j - 2*a - 2 = 4*j, 3*a = j + 5. What is the remainder when k is divided by (j + 4)/(3/15)? 8 Let j(t) = t**2 - 14*t - 22. What is the remainder when j(24) is divided by 162? 56 Let o be (-2 - -1)*(-1 + 2). Let h = 4259 - 4246. Calculate the remainder when 28 + (3 - (5 - o)) is divided by h. 12 Let k be 1 - (3 - 4/1). Suppose -k*y = 1216 - 1358. What is the remainder when y is divided by 24? 23 Suppose 0 = -470*w + 463*w + 4417. Suppose 4 = -w*f + 633*f. Calculate the remainder when 11 is divided by f. 1 Suppose 3*x - 648 = -0*x - 2*p, -4*p - 844 = -4*x. Let v = x + 49. Calculate the remainder when v is divided by 19. 16 Calculate the remainder when 48 is divided by (-17 + 3 + -6)*(-15 + 6 - -8). 8 Suppose -3*g = 4*i - 127, g - 48 = -5*i + 119. Suppose 0 = -8*v + 658 + 414. What is the remainder when v is divided by i? 32 Let j(z) = z**3 - 15*z**2 - 4*z + 55. Let c be j(15). What is the remainder when 1 + c - (3 - 112) is divided by 36? 33 Suppose -76 = 3*s - 319. Let q = -47 + s. Let z(p) = -p**2 - 47*p + 953. Calculate the remainder when z(14) is divided by q. 31 Suppose -47*j + 57*j = -2860. Let d = j - -357. What is the remainder when 137 is divided by d? 66 Suppose -5*s = 5*t - 312 - 1558, -746 = -2*t - s. What is the remainder when t is divided by 125? 122 Let h = 34 + 108. Let f = 334855 + -334806. What is the remainder when h is divided by f? 44 Let f(k) = k**3 - 10*k**2 - 199*k - 249. What is the remainder when f(21) is divided by 44? 27 Let k(p) = -3*p**3 + 5*p**2 + 52*p + 317. Calculate the remainder when k(-5) is divided by 144. 125 Let u(k) = 6*k - 2. Let p be u(-2). Let o = -6 - p. Let b = -190 + 227. Calculate the remainder when b is divided by o. 5 Let l(d) = -d**2 - 8*d - 7. Let f be l(-5). Let x = -4 + f. Suppose 51124 = -211*r + 54711. What is the remainder when r is divided by x? 1 Let q = 112 + -106. Suppose 0 = -5*w + 2*o + 30, 4*w - 27 = -5*o + q*o. What is the remainder when 43 is divided by w? 3 Let t(j) be the third derivative of j**5/30 + 3*j**4/8 + 7*j**3/6 - 10*j**2 + 6*j. What is the remainder when t(7) is divided by 36? 24 Suppose 1202 + 852 = 2*h + 3*n, -2*n + 2050 = 2*h. Calculate the remainder when h is divided by 77. 20 Let w = 524 + -402. Suppose -w*v + 114*v + 704 = 0. Calculate the remainder when 351 is divided by v. 87 Suppose -3*w = q - 3*q + 317, -5*q + 4*w + 796 = 0. Let d = q - 79. Suppose -10 = -5*v, 2*y - 4*v - 58 = -5*v. Calculate the remainder when d is divided by y. 25 Calculate the remainder when 15*2/(-4)*(-12 + (-6528)/36) is divided by 133. 120 Let g = 3 - 10. Let x(r) = -5*r + 28. What is the remainder when x(g) is divided by 34? 29 Let s = 30953 + -30742. Calculate the remainder when s is divided by 108. 103 Suppose -8*x + 3*x = -40. Let m(v) = 2*v + 87. What is the remainder when m(7) is divided by x? 5 Suppose -3*a - 5*j = -6, 2*a = 14*j - 15*j + 4. Suppose -55*g - a*g = -2166. Let h(l) = -4*l + 1. Calculate the remainder when g is divided by h(-3). 12 Suppose 29 = 12*g - 11*g. Suppose -4*l + 176 = -184. Calculate the remainder when l is divided by 3/(-1) + g - 3. 21 Let r(k) = -31*k**3 - 8*k**2 - 56*k - 20. What is the remainder when r(-4) is divided by 105? 65 Suppose y + 13 = -2*o - 7, o = -4. What is the remainder when 37 is divided by 1 - y - 5/(15/(-18))? 18 Let j(r) = r**3 + 112*r**2 + 119*r + 1916. Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
410059 to the nearest integer? 9 What is the tenth root of 94904 to the nearest integer? 3 What is the cube root of 581321 to the nearest integer? 83 What is 27665372 to the power of 1/2, to the nearest integer? 5260 What is the square root of 338206 to the nearest integer? 582 What is the eighth root of 1467609 to the nearest integer? 6 What is the square root of 11179574 to the nearest integer? 3344 What is the third root of 1029263 to the nearest integer? 101 What is the fifth root of 18449 to the nearest integer? 7 What is the cube root of 996117 to the nearest integer? 100 What is the square root of 137486 to the nearest integer? 371 What is 258685 to the power of 1/6, to the nearest integer? 8 What is 5151618 to the power of 1/6, to the nearest integer? 13 What is 245653 to the power of 1/10, to the nearest integer? 3 What is the square root of 9386373 to the nearest integer? 3064 What is the fifth root of 967350 to the nearest integer? 16 What is the third root of 2167820 to the nearest integer? 129 What is the tenth root of 177169 to the nearest integer? 3 What is the tenth root of 640511 to the nearest integer? 4 What is 18580 to the power of 1/4, to the nearest integer? 12 What is the seventh root of 811046 to the nearest integer? 7 What is 102317 to the power of 1/5, to the nearest integer? 10 What is 388043 to the power of 1/9, to the nearest integer? 4 What is the cube root of 183404 to the nearest integer? 57 What is the fourth root of 5588447 to the nearest integer? 49 What is 44648 to the power of 1/2, to the nearest integer? 211 What is 7261333 to the power of 1/3, to the nearest integer? 194 What is the square root of 146550 to the nearest integer? 383 What is the cube root of 762855 to the nearest integer? 91 What is the cube root of 7556289 to the nearest integer? 196 What is the square root of 138834 to the nearest integer? 373 What is the fifth root of 2421316 to the nearest integer? 19 What is 9859733 to the power of 1/2, to the nearest integer? 3140 What is 5394541 to the power of 1/8, to the nearest integer? 7 What is 3760397 to the power of 1/10, to the nearest integer? 5 What is the cube root of 2450039 to the nearest integer? 135 What is the cube root of 2429901 to the nearest integer? 134 What is the eighth root of 6761294 to the nearest integer? 7 What is 626541 to the power of 1/2, to the nearest integer? 792 What is the third root of 34414 to the nearest integer? 33 What is the seventh root of 24693068 to the nearest integer? 11 What is the cube root of 648942 to the nearest integer? 87 What is 6771611 to the power of 1/10, to the nearest integer? 5 What is 7985186 to the power of 1/2, to the nearest integer? 2826 What is 1485662 to the power of 1/2, to the nearest integer? 1219 What is 1589020 to the power of 1/7, to the nearest integer? 8 What is the ninth root of 2547716 to the nearest integer? 5 What is 748519 to the power of 1/5, to the nearest integer? 15 What is 31714686 to the power of 1/2, to the nearest integer? 5632 What is 5752302 to the power of 1/2, to the nearest integer? 2398 What is 2579058 to the power of 1/5, to the nearest integer? 19 What is the square root of 117663 to the nearest integer? 343 What is the third root of 10770339 to the nearest integer? 221 What is the ninth root of 28712858 to the nearest integer? 7 What is the sixth root of 275478 to the nearest integer? 8 What is the square root of 1315943 to the nearest integer? 1147 What is the third root of 1096841 to the nearest integer? 103 What is 48246 to the power of 1/10, to the nearest integer? 3 What is the third root of 6231191 to the nearest integer? 184 What is the square root of 174222 to the nearest integer? 417 What is the sixth root of 263563 to the nearest integer? 8 What is the square root of 9890775 to the nearest integer? 3145 What is the fourth root of 283980 to the nearest integer? 23 What is the square root of 1986459 to the nearest integer? 1409 What is the cube root of 262072 to the nearest integer? 64 What is the tenth root of 708999 to the nearest integer? 4 What is the third root of 4079228 to the nearest integer? 160 What is 2788775 to the power of 1/2, to the nearest integer? 1670 What is the third root of 120337 to the nearest integer? 49 What is the square root of 7650386 to the nearest integer? 2766 What is the cube root of 574172 to the nearest integer? 83 What is the cube root of 1751490 to the nearest integer? 121 What is the eighth root of 327816 to the nearest integer? 5 What is 7253561 to the power of 1/5, to the nearest integer? 24 What is the square root of 513396 to the nearest integer? 717 What is the third root of 229419 to the nearest integer? 61 What is the square root of 109566 to the nearest integer? 331 What is the eighth root of 3347747 to the nearest integer? 7 What is 209777 to the power of 1/3, to the nearest integer? 59 What is 805730 to the power of 1/2, to the nearest integer? 898 What is the square root of 186057 to the nearest integer? 431 What is the sixth root of 21590223 to the nearest integer? 17 What is the third root of 4406107 to the nearest integer? 164 What is the cube root of 1067659 to the nearest integer? 102 What is 171510 to the power of 1/2, to the nearest integer? 414 What is 13698987 to the power of 1/2, to the nearest integer? 3701 What is the cube root of 119976 to the nearest integer? 49 What is the seventh root of 19499345 to the nearest integer? 11 What is 779941 to the power of 1/9, to the nearest integer? 5 What is the square root of 902648 to the nearest integer? 950 What is 7536187 to the power of 1/3, to the nearest integer? 196 What is 891782 to the power of 1/6, to the nearest integer? 10 What is the cube root of 625926 to the nearest integer? 86 What is the cube root of 160407 to the nearest integer? 54 What is the cube root of 8822119 to the nearest integer? 207 What is 24144815 to the power of 1/2, to the nearest integer? 4914 What is the eighth root of 49431 to the nearest integer? 4 What is 27411789 to the power of 1/2, to the nearest integer? 5236 What is the sixth root of 606684 to the nearest integer? 9 What is the seventh root of 30997 to the nearest integer? 4 What is 2700629 to the power of 1/4, to the nearest integer? 41 What is 248549 to the power of 1/8, to the nearest integer? 5 What is the fifth root of 319474 to the nearest integer? 13 What is the third root of 34233534 to the nearest integer? 325 What is the fourth root of 4249846 to the nearest integer? 45 What is the cube root of 20341293 to the nearest integer? 273 What is the tenth root of 161732 to the nearest integer? 3 What is the ninth root of 1067706 to the nearest integer? 5 What is the sixth root of 1124800 to the nearest integer? 10 What is the square root of 1561097 to the nearest integer? 1249 What is the tenth root of 30940074 to the nearest integer? 6 What is the cube root of 7104441 to the nearest integer? 192 What is the cube root of 152234 to the nearest integer? 53 What is the cube root of 2815052 to the nearest integer? 141 What is 572324 to the power of 1/2, to the nearest integer? 757 What is the square root of 5040142 to the nearest integer? 2245 What is 162866 to the power of 1/10, to the nearest integer? 3 What is the third root of 39759 to the nearest integer? 34 What is 295371 to the power of 1/6, to the nearest integer? 8 What is the square root of 31331 to the nearest integer? 177 What is 1074510 to the power of 1/6, to the nearest integer? 10 What is 249714 to the power of 1/2, to the nearest integer? 500 What is the eighth root of 1758782 to the nearest integer? 6 What is the fifth root of 349736 to the nearest integer? 13 What is the fifth root of 35925202 to the nearest integer? 32 What is the sixth root of 921939 to the nearest integer? 10 What is the eighth root of 1213526 to the nearest integer? 6 What is the cube root of 348418 to the nearest integer? 70 What is 277323 to the power of 1/4, to the nearest integer? 23 What is 273947 to the power of 1/9, to the nearest integer? 4 What is 1564411 to the power of 1/9, to the nearest integer? 5 What is 5794660 to the power of 1/2, to the nearest integer? 2407 What is 406177 to the power of 1/2, to
{ "pile_set_name": "DM Mathematics" }
+ 1 - k**2 - 1. -2152*k**2 Expand (0 - 2 + 4)*(8 - 7 - 24)*(-4*z - 18 + 6*z - 5*z). 138*z + 828 Expand 2 - 2 + 2*n + (-1 + 1 + 2*n)*(1 - 4 + 1) + (3 + 1 + 0)*(n - 11*n - 3*n) - n + 3 - 3. -55*n Expand (-1 + 1 - 2*i)*((-2 + 2 - 2*i)*(-1 - 1 + 0) - 683*i + 466*i + 3490*i). -6554*i**2 Expand (-4644 + 7*m + 2321 + 2331 + (4 - 3 - 3)*(3 - 2*m - 3))*(-2 + 2 - 3*m**4 + (-5*m + 3*m + m)*(2*m**3 - m**3 + 0*m**3)). -44*m**5 - 32*m**4 Expand (y - y + 3*y)*(204 + 118 + 77). 1197*y Expand (-7 + 23 - 9)*(-7*y + 3*y + 2*y)*(-4 + 220 + 87). -4242*y Expand (5*a + 13*a - 42*a)*(-87 + 6*a**4 + 87) - a**5 + 1 - 1 + (a**3 + 2*a**3 - 2*a**3)*(a**2 - 3*a**2 - a**2). -148*a**5 Expand 5177*c**2 + 2860*c**2 - 1644*c**2 + c**2 - 2*c**2 + 2*c**2 + 6*c**2 - 3*c**2 - c**2 + (c - 3*c + 4*c)*(2*c - 2*c + 2*c). 6400*c**2 Expand (0*r + r**2 + 0*r)*(-r + 3 - 3) - r**3 - 2*r**3 + 2*r**3 + 275*r**3 + 888*r**3 - 260*r**3. 901*r**3 Expand (1828*y**2 - 913*y**2 - 11*y**3 - 905*y**2)*(1 - 7 + 2). 44*y**3 - 40*y**2 Expand (-4*n + 4*n - 2*n)*(0 + 2 - 3) - 3*n + n + 3*n - 2*n + 1 - 1 + 4*n - 3*n + n + 44 + 2*n - 50 + 0*n. 5*n - 6 Expand (12 - 12 + 11*x**3)*(-1936 + 1190 + 5*x - 3*x + 2259)*(3 + 1 - 3). 22*x**4 + 16643*x**3 Expand (-1 - 1 + 0)*(-1 + 1 + 5*w)*(-8 - w + 8) + (w + w - w)*(w + w + 0*w) + 230 + 4*w**2 - 230. 16*w**2 Expand -4 + 4 + 3*z + (0 - 1 - 1)*(2*z + 2*z - 5*z) + 3 + z - 3 + (-2 - 2 + 2)*(z + z - z) + 2*z - 3*z + 2*z - 3*z + 2*z - z + 456*z - 34 + 34. 459*z Expand (1 + 2 - 1)*(11 - 7 + 2)*(-9*j + 49 - 49). -108*j Expand 56*o - 9*o**2 - 56*o + 3*o + 2*o**2 - 3*o + (4 - 4 - 3*o)*(-95*o + 142 - 142). 278*o**2 Expand (-1 + n**2 + 1)*(2*n + 0*n - 4*n + (-28 + 12 - 26)*(-n - 4 + 4))*(-4*n + 6*n + 5*n). 280*n**4 Expand (1 + 3 - 2)*(-5871*p + 1599*p**2 + 5871*p)*((5*p - 4*p + p)*(2 + 5 - 5) + 2*p + 3 - 3 + (-3 + 5 + 0)*(-p - 1 + 1)). 12792*p**3 Expand (1 - 1 + r)*(-4*r + 7*r - 4*r)*(531 + 155 + 1595). -2281*r**2 Expand 0 + 0 + 9*c**2 + 4*c**2 - c**2 - c**2 + (-8*c - 10*c - c)*(3*c + 2*c - 3*c). -27*c**2 Expand (-71*k**3 + 62 - 62)*(-1 + 4 - 4) + 2 + 2*k**3 - 2 + 4 - 2*k**3 - 4. 71*k**3 Expand (3*x - 4*x + 3*x)*(4 - 3 + 0) - 190 + 190 - 12*x + (-3 - 3 + 5)*(22*x + 34*x - 17*x). -49*x Expand (o + o + 0*o)*(128*o - 3*o**4 - 128*o) - 48*o**5 + 45*o**5 - 39*o**5. -48*o**5 Expand ((-28 + 61 - 31)*(4 + 3 - 5) - 32 + 69 + 9)*(-2*g + g - g). -100*g Expand (-232*g**2 + 467*g**2 - 233*g**2 + 62)*(-g + 1 - 1) + (-g - 5*g + g + (-12*g + 16*g - 30*g)*(-5 + 4 + 2))*(g**2 + 4 - 4). -33*g**3 - 62*g Expand (y**2 + 0*y**2 + 2*y**2)*(4*y + 2 - 2)*(-y + 0*y + 3*y)*(25 - 15 + 33). 1032*y**4 Expand (-2*c + c**2 + 2*c)*(8 - 6 - 11) + (103*c + 66*c - 30*c)*(-1 + 4*c + 1). 547*c**2 Expand 58*g**3 + 300*g - 288*g - 21*g**3 + (-4 + 4 - g**2)*(1 - 2*g - 1) + 0*g**3 + g**3 - 7*g**3. 33*g**3 + 12*g Expand (m**2 + 4*m**2 + 0*m**2)*(-3*m + 4 - 4)*(-411*m + 813*m - 403*m + 887). 15*m**4 - 13305*m**3 Expand (5*l**2 - 5*l**2 + 2*l**2)*(2*l + 4 - 4) + 2*l**3 + 905 - 494 - 417. 6*l**3 - 6 Expand -n**5 + 5*n**5 - 6*n**5 + 7*n**5 - 15*n**5 + 3*n**5 + (n**2 - 4 + 4)*(24*n**3 + 18*n**3 - 28*n**3). 7*n**5 Expand (0*y - 2*y + 0*y)*(-y + 2*y - 3*y)*(y**3 + y**3 - y**3) - 3*y**4 + 13*y**5 - 2*y + 4*y**4 - 15*y**5 - 2157*y**2 - 201*y**5 + 2157*y**2. -199*y**5 + y**4 - 2*y Expand (0*a - 3*a + 2*a)*(6426*a - 130*a + 4714*a + 1275*a + 1112*a). -13397*a**2 Expand (66*a**2 + 99*a**2 - 107*a**2 + (-1 + 2*a**2 + 1)*(-2 - 1 + 1))*(23826 + 45*a - 23826 + 151*a). 10584*a**3 Expand (-7 + 37 + 96)*(-4 + 2 - 3 - 2*x). -252*x - 630 Expand (-1 + 1 - 2*n**2)*(5*n**2 - 4*n**2 + n**2) + (0*n**2 - 3*n**2 + 2*n**2)*(n**2 - 3 + 3) - 493*n**4 + 16437*n**2 - 16437*n**2. -498*n**4 Expand -16*m**5 - 9*m**5 - 9*m**5 + (6 - 10 - 7)*(0*m**5 - 3*m**5 + 4*m**5). -45*m**5 Expand (-10*r - 1 + 8*r + 0*r)*(-3*r - 2*r + 3*r)*(-24*r + 15*r - 19*r). -112*r**3 - 56*r**2 Expand (p**3 - 1 + 1 - 2*p**2)*(80*p - 65*p + 28*p). 43*p**4 - 86*p**3 Expand -4*s - s**3 + 4*s + (4*s - 3*s + s)*(0*s**2 + s**2 + s**2) - 10821*s + 10821*s + 430*s**3. 433*s**3 Expand 254 + 40*g**2 - g - 254 - 2*g**2 - g + g - 148*g**2 + 102*g**2 + 95*g**2 + (-g + 3*g - 4*g)*(2*g - 3*g - g). 91*g**2 - g Expand (9*l - 27*l - 54*l)*((0 + 3 - 4)*(1 + 0 + 1) + 0 + 2 - 1 - 36 + 53 - 29)*(l + 2*l - 4*l) - 4*l**2 + 0*l**2 + 6*l**2. -934*l**2 Expand -26*q + 248*q + 273*q - 2*q - q + q + (4 - 1 - 4)*(q - q - q). 494*q Expand -660 + 660 + 31*d + (-1 + 0 + 2)*(-5*d + 3*d + 0*d) + (4 + 4 - 12)*(-5*d + 4*d - 2*d). 41*d Expand (-4*h**2 + 0*h**2 + 1 + 2*h**2)*(h**3 + 0*h**3 + 2*h**3) - 3*h**5 - 111*h + 156*h + 131*h + (h**4 + 3*h**4 - 6*h**4)*(-h - 2*h + 4*h). -11*h**5 + 3*h**3 + 176*h Expand (l + 9*l - 2*l)*(l - 5*l + l - l + 2*l + l + (3 + 0 - 1)*(-l - 3*l + 2*l) + 393*l + 60*l - 33*l)*(-4*l**3 + l**3 + 2*l**3). -3320*l**5 Expand (-2*z - z - 4*z)*(6 - 3 + 0) - 2*z - z + 11*z. -13*z Expand (-14*t + 5 - 5)*(20 + 16*t - 20)*(-2 - t + 2 - 2 + 2 + 2*t + (0 - 2 + 0)*(-4*t + 2*t + 3*t) - 1 - 2*t + 1 + 2*t - 4*t + 3*t - 13*t + 37*t - 15*t). -1568*t**3 Expand (q + 5*q - q)*(10 - 7 + 0)*(68 + 11*q - 68)*(q**2 - 2*q**2 - 2*q**2). -495*q**4 Expand -6*k**2 + 5*k**2 - 6*k**2 - 117 + 117 - 31*k**2 + (2*k - 7*k + 3*k)*(-k + 2*k - 3*k) - 3*k**2 + 8*k**2 - k**2. -30*k**2 Expand 2*j**2 - j**4 - 2*j**2 + 8*j**4 + j**2 - j**2 + (-2*j**3 - 4*j**2 + 4*j**2)*(-4*j - 4*j + 7*j). 9*j**4 Expand (-76*h + 455 + 78*h - 391)*(1 - 7 - 5). -22*h - 704 Expand ((2 + 0 - 1)*(-f + 5*f - 2*f) + 0*f + 0*f + f + 2*f - 3*f + 2*f + 2*f - 1 + 1)*(7*f - 9*f - 8*f)*(-273 + 273 + 6*f**2). -360*f**4 Expand (-5*c + 5*c + 23*c)*(15*c + 46*c + 184*c)*(3*c - c - 3*c). -5635*c**3 Expand (5 - 5*u - 5)*(-7 + 858*u**2 + 7 + 354*u**2 - 524*u**2). -3440*u**3 Expand (-11*n**2 - 3*n**2 + 17*n**2)*(2*n**3 + n**3 - 2*n**3) + 24*n**5 + 2 - 13*n**5 - 15*n**5 - 9*n**2. -n**5 - 9*n**2 + 2 Expand (17*u - 15*u + 9*u)*(2165*u**3 - 12 - 430*u**3 - 9 + 21). 19085*u**4 Expand (-20*s + s + 5*s)*(132 + 30 + 379 + 43). -8176*s Expand (0 - 3 - 1)*(-6*x + 0*x + 3*x) - 29 - 20 + 44 - 25*x. -13*x - 5 Expand 2 - j**3 + 5*j**2 - 33*j + 48*j - 19*j + (-j**2 - 4*j**2 + 6*j**2)*(2*j + 2*j - 2*j) + j**3 - 4*j**3 + 4*j**3. 2*j**3 + 5*j**2 - 4*j + 2 Expand (3 + 3 - 1)*(0*x**3 + x**3 + 2*x**3) + (3 - 3 - x)*(-7 + 7 - 81*x**2). 96*x**3 Expand (23 - 17 + 33)*(14 + 2 - 4)*(-5*c**3 + 4*c**3 + 0*c**3). -468*c**3 Expand (-5*b + 5*b - 2*b)*(204*b**3 - 354*b**3 - 235*b**3) + (-2*b**2 + 0*b**2 + 4*b**2)*(2 + 0 + 0)*(2 - 2 - b**2). 766*b**4 Expand (0*n + n - 2*n)*(-1 + 1 - n)*(-279123 - 1936*n + 279123). -1936*n**3 Expand -3*x**3 + 0*x**3 + x**3 + 13*x - 13*x + 6*x**3 - 20*x**3 + 11*x**2 - 11*x**2 + (-2 - 5 + 4)*(2*x**3 + 2*x**3 - 2*x**3). -22*x**3 Expand (-11 + 18 - 13)*(48*o - 5*o + 6*o). -294*o Expand (4*k**2 - 9*k**2 + 15*k**2)*(-5*k**3 - 7*k + 7*k) + 14*k**2 + 12*k**5 - 14*k**2. -38*k**5 Expand (-4*j + 2*j + j + (-2*j - j + 2*j)*(-1 - 5 + 4) - 4*j + 3*j - 2*j)*(8772*j + 228*j**2 - 8772*j + (-2 - 2*j + 2)*(-2*j + 4*j - j)). -452*j**3 Expand 2*l**5 + 13*l**2 - 7*l**4 - 13*l**2 + (2*l - 2*l**3 - 2*l)*(-l**2 + l**2 - l**2) + 27*l**5 - 202*l**5 + 17*l**5. -154*l**5 - 7*l**4 Expand 2*b + b**3 - 2*b + (-3*b + 4*b - 3*b)*(-2*b**2 + 3*b**2 - 3*b**2) + (-2*b + 0*b + 3*b)*(10 - 10 + 14)*(24*b**2 + 78*b - 78*b). 341*b**3 Expand (-1155*s**2 - 1229 + 1229 + 595*s**2)*(s - 6*s + 3*s). 1120*s**3 Expand (-5*t + t + 0*t)*(26 - 28*t - 26) + (3*t - 3*t + 2*t)*(-t - 3*t + t). 106*t**2 Expand (1 - 2 + 3)*(0*s - 3*s + 2*s) + 2*s - 3*s - s - 28*s + 273 - 273 + (2 + 3 - 3)*(0 - 4*s + 2 + 3*s). -34*s + 4 Expand (-7*t**3 + 8*t**3 + t**3 - 2*t**4)*(124*t + 14212 - 14212 - 2 + 2 - 2*t - t - t + 3*t + (2*t + 1 - 1)*(5 - 1 - 2) + 3*t - t - 4*t). -250*t**5 + 250*t**4 Expand (-w + 4*w - 4*w)*(620*w - 1176*w + 760*w). -204*w**2 Expand (-302*q**2 + 561*q**2 + 2 - 293*q**2 + q**2 - 4*q + 4*q + (0*q - q + 3*q)*(q + q - 4*q) - 3*q**2 + 2*q**2 + 2*q**2)*(q**2 - q**2 - 2*q**2). 72*q**4 - 4*q**2 Expand 20*h**4 + 2*h**4 + 7*h**4 + (-3 + 1 + 0)*(4*h**4 - 2*h**4 + 0*h**4) + (-32 + 7*h + 32)*(-2*h**3 + 1 + 0*h + 0*h). 11*h**4 + 7*h Expand -5*j - 270*j**2 - 7*j + 267*j**2 + (6*j - 4 + 4)*(-4*j + 2*j + j). -9*j**2 - 12*j Expand (2 + 2*d - 2)*(-74 + 80 + 120)*(d**2 + 0*d**2 + 5 + 6). 252*d**3 + 2772*d Expand (-r - r + 0*r)*((2*r**2 - 2 + 2
{ "pile_set_name": "DM Mathematics" }
9:07 PM? 11:54 AM What is 373 minutes after 3:29 PM? 9:42 PM How many minutes are there between 9:06 PM and 8:54 AM? 708 How many minutes are there between 2:05 AM and 7:14 AM? 309 How many minutes are there between 2:21 PM and 1:16 AM? 655 How many minutes are there between 11:23 PM and 12:23 AM? 60 What is 366 minutes after 2:55 AM? 9:01 AM How many minutes are there between 2:34 PM and 10:13 PM? 459 How many minutes are there between 12:46 AM and 2:33 AM? 107 What is 191 minutes before 8:39 PM? 5:28 PM How many minutes are there between 7:34 AM and 6:02 PM? 628 What is 195 minutes before 9:12 AM? 5:57 AM What is 63 minutes before 12:51 AM? 11:48 PM What is 530 minutes before 4:53 AM? 8:03 PM What is 305 minutes after 2:27 AM? 7:32 AM How many minutes are there between 9:45 AM and 7:31 PM? 586 How many minutes are there between 8:27 AM and 10:56 AM? 149 What is 304 minutes before 1:48 PM? 8:44 AM What is 646 minutes after 2:02 PM? 12:48 AM How many minutes are there between 7:16 AM and 5:11 PM? 595 What is 82 minutes after 1:15 PM? 2:37 PM How many minutes are there between 4:25 PM and 10:20 PM? 355 How many minutes are there between 9:36 AM and 10:14 AM? 38 What is 121 minutes before 9:04 PM? 7:03 PM What is 703 minutes before 10:28 PM? 10:45 AM What is 353 minutes before 2:07 PM? 8:14 AM What is 428 minutes after 9:36 AM? 4:44 PM How many minutes are there between 10:46 AM and 12:52 PM? 126 How many minutes are there between 9:11 AM and 2:02 PM? 291 How many minutes are there between 5:56 AM and 8:02 AM? 126 How many minutes are there between 8:26 PM and 8:36 PM? 10 How many minutes are there between 10:10 PM and 7:13 AM? 543 What is 98 minutes before 3:16 AM? 1:38 AM What is 320 minutes after 3:35 PM? 8:55 PM What is 681 minutes before 10:39 AM? 11:18 PM What is 546 minutes after 3:32 PM? 12:38 AM How many minutes are there between 7:00 PM and 5:27 AM? 627 What is 266 minutes before 10:04 AM? 5:38 AM How many minutes are there between 9:05 PM and 12:32 AM? 207 How many minutes are there between 9:42 PM and 4:13 AM? 391 What is 344 minutes after 4:52 PM? 10:36 PM What is 682 minutes after 6:18 AM? 5:40 PM How many minutes are there between 8:41 PM and 8:11 AM? 690 How many minutes are there between 3:15 PM and 4:51 PM? 96 How many minutes are there between 7:41 PM and 7:47 PM? 6 How many minutes are there between 1:11 AM and 8:34 AM? 443 What is 552 minutes after 2:15 PM? 11:27 PM What is 587 minutes before 7:47 AM? 10:00 PM What is 110 minutes before 8:47 PM? 6:57 PM How many minutes are there between 5:02 AM and 11:42 AM? 400 How many minutes are there between 10:57 PM and 12:27 AM? 90 How many minutes are there between 12:46 PM and 8:34 PM? 468 How many minutes are there between 3:42 PM and 3:54 PM? 12 How many minutes are there between 2:26 PM and 2:10 AM? 704 How many minutes are there between 8:31 AM and 5:19 PM? 528 How many minutes are there between 2:26 AM and 12:02 PM? 576 What is 688 minutes after 4:41 AM? 4:09 PM What is 144 minutes after 6:26 PM? 8:50 PM How many minutes are there between 2:01 PM and 11:13 PM? 552 How many minutes are there between 5:01 AM and 6:58 AM? 117 What is 110 minutes after 5:26 PM? 7:16 PM How many minutes are there between 7:22 PM and 1:28 AM? 366 How many minutes are there between 10:08 AM and 1:51 PM? 223 What is 115 minutes before 3:10 AM? 1:15 AM How many minutes are there between 1:02 AM and 4:59 AM? 237 How many minutes are there between 3:34 AM and 6:25 AM? 171 How many minutes are there between 1:29 AM and 7:13 AM? 344 How many minutes are there between 3:23 AM and 6:54 AM? 211 How many minutes are there between 6:42 AM and 10:56 AM? 254 How many minutes are there between 7:59 PM and 9:49 PM? 110 How many minutes are there between 3:47 PM and 3:41 AM? 714 How many minutes are there between 12:46 AM and 12:04 PM? 678 How many minutes are there between 4:32 PM and 8:15 PM? 223 How many minutes are there between 7:44 PM and 7:55 PM? 11 What is 207 minutes before 1:20 PM? 9:53 AM How many minutes are there between 12:24 AM and 11:40 AM? 676 What is 11 minutes before 11:13 AM? 11:02 AM How many minutes are there between 11:13 PM and 9:44 AM? 631 How many minutes are there between 1:14 PM and 10:56 PM? 582 How many minutes are there between 2:53 AM and 10:18 AM? 445 What is 313 minutes after 7:15 AM? 12:28 PM What is 710 minutes after 9:08 AM? 8:58 PM How many minutes are there between 2:01 AM and 11:42 AM? 581 How many minutes are there between 5:46 AM and 1:51 PM? 485 How many minutes are there between 8:19 PM and 6:24 AM? 605 How many minutes are there between 6:07 AM and 5:47 PM? 700 How many minutes are there between 11:55 AM and 8:16 PM? 501 How many minutes are there between 6:19 AM and 7:55 AM? 96 How many minutes are there between 7:30 PM and 12:26 AM? 296 How many minutes are there between 5:07 AM and 10:02 AM? 295 How many minutes are there between 5:25 PM and 2:23 AM? 538 How many minutes are there between 1:57 AM and 4:47 AM? 170 How many minutes are there between 9:49 PM and 5:23 AM? 454 How many minutes are there between 11:32 AM and 1:19 PM? 107 What is 12 minutes after 5:25 PM? 5:37 PM What is 97 minutes after 3:13 AM? 4:50 AM What is 401 minutes after 9:07 PM? 3:48 AM What is 207 minutes before 11:27 PM? 8:00 PM What is 557 minutes before 6:39 PM? 9:22 AM How many minutes are there between 7:06 PM and 9:22 PM? 136 What is 616 minutes before 6:59 AM? 8:43 PM What is 457 minutes before 9:14 PM? 1:37 PM How many minutes are there between 9:13 AM and 11:47 AM? 154 What is 644 minutes before 2:02 PM? 3:18 AM How many minutes are there between 12:52 AM and 9:47 AM? 535 What is 324 minutes after 8:28 PM? 1:52 AM What is 715 minutes before 1:00 PM? 1:05 AM How many minutes are there between 10:43 AM and 10:05 PM? 682 What is 207 minutes after 11:17 AM? 2:44 PM What is 158 minutes after 7:50 PM? 10:28 PM How many minutes are there between 7:07 PM and 7:02 AM? 715 How many minutes are there between 7:11 AM and 4:57 PM? 586 How many minutes are there between 1:19 PM and 1:46 PM? 27 What is 337 minutes after 8:37 AM? 2:14 PM How many minutes are there between 6:06 AM and 5:35 PM? 689 How many minutes are there between 8:10 PM and 1:19 AM? 309 What is 67 minutes before 8:34 AM? 7:27 AM How many minutes are there between 6:56 AM and 4:32 PM? 576 What is 304 minutes before 7:39 AM? 2:35 AM What is 474 minutes before 7:17 PM? 11:23 AM What is 503 minutes after 2:42 AM? 11:05 AM How many minutes are there between 12:47 AM and 2:54 AM? 127 What is 89 minutes before 2:49 AM? 1:20 AM How many minutes are there between 2:13 AM and 7:18 AM? 305 What is 662 minutes after 4:49 PM? 3:51 AM What is 546 minutes after 4:04 PM? 1:10 AM How many minutes are there between 8:33 PM and 12:29 AM? 236 What is 568 minutes after 6:48 AM? 4:16 PM What is 652 minutes before 9:20 PM? 10:28 AM How many minutes are there between 12:23 AM and 5:26 AM? 303 What is 685 minutes after 1:59 PM? 1:24 AM What is 137 minutes before 6:49 PM? 4:32 PM How many minutes are there between 2:51 PM and 11:12 PM? 501 What is 401 minutes before 6:25 AM? 11:44 PM How many minutes are there between 8:18 AM and 6:27 PM? 609 How many minutes are there between 9:35 AM and 11:50 AM? 135 What is 466 minutes before 5:17 PM? 9:31 AM What is 135 minutes before 7:03 PM? 4:48 PM What is 167 minutes before 5:54 AM? 3:07 AM How many minutes are there between 12:54 AM and 8:06 AM? 432 What is 707 minutes before 4:14 AM? 4:27 PM What is 19 minutes before 9:53 AM? 9:34 AM How many minutes are there between 11:40 AM and 9:51 PM? 611 What is 67 minutes after 10:27 PM? 11:34 PM What is 148 minutes before 11:12 PM? 8:44 PM What is 14 minutes after 2:06 AM? 2:20 AM What is 609 minutes before 1:16 AM? 3:07 PM What is 62 minutes before 8:20 PM? 7:18 PM What is 387 minutes after 9:59 PM? 4:26 AM What is 264 minutes after 1:34 PM? 5:58 PM What is 265 minutes before 8:12 PM? 3:47 PM How many minutes are there between 4:05 PM and 9:25 PM? 320 What is 458 minutes after 5:31 PM? 1:09 AM How many minutes are there between 1:51 PM and 9:15 PM? 444 How many minutes are there between 8:43 PM and 8:38 AM? 715 What is 236 minutes after 7:07 PM? 11:03 PM How many minutes
{ "pile_set_name": "DM Mathematics" }
is the third derivative of 261526*d**3 + 7621772*d**2 wrt d? 1569156 What is the second derivative of 370378045*p**2 + 2764202*p + 5? 740756090 What is the third derivative of 950*u**3*x**3 - 2823*u**3*x - 2431*u**3 - 2*u**2*x**3 - 3*u*x**2 - 44696*x**3 wrt x? 5700*u**3 - 12*u**2 - 268176 What is the derivative of 1079*g**2*i**2*o + 290*g**2*o + 2*g**2 + 1425*g*i**2 - 2*g*i + 3*g*o + 8*g - 2*o + 8 wrt i? 2158*g**2*i*o + 2850*g*i - 2*g Differentiate 144*r**3*w - 223*r**3 + 130*r**2 + 174073*w + 3 with respect to w. 144*r**3 + 174073 Find the third derivative of -8035978*v**3 + 13501*v**2 - v - 40 wrt v. -48215868 Find the second derivative of -1891029*f**3*l**2 + f**3 - 18052*f**2*l + 13*l wrt l. -3782058*f**3 What is the third derivative of 151*c**2*d**3*r - 281*c**2*d*r + 15*c**2*r - 3563*c*d**3*r**2 - 6*c*d**2*r**2 + 5*d**2*r**2 wrt d? 906*c**2*r - 21378*c*r**2 Find the third derivative of 2*z**5 - 2*z**4 + 28122191*z**3 - 11331*z**2 + 10195 wrt z. 120*z**2 - 48*z + 168733146 What is the second derivative of -3*o**4 + 4217146*o**2 + 2816*o + 8321? -36*o**2 + 8434292 Find the third derivative of 381*r**5 - 16727*r**4 - 11*r**2 - 1144439. 22860*r**2 - 401448*r What is the first derivative of -3*l**4 + 367211*l**2 - 2167374 wrt l? -12*l**3 + 734422*l What is the derivative of -106*f**2 - 63059*f - 12127515? -212*f - 63059 What is the second derivative of 21685614*d*l**4 - 3*d*l - 3502*d + 42*l wrt l? 260227368*d*l**2 Find the second derivative of -355592*h**5 - 35*h**3 - 61*h + 150740 wrt h. -7111840*h**3 - 210*h What is the third derivative of -245321182*f**5 - 2*f**2 + 790*f - 62579 wrt f? -14719270920*f**2 What is the derivative of -65274926*p + 69470169? -65274926 Find the third derivative of 5*c**6*l + 190094*c**4*l + 6*c**2*l + 902*c**2 - 24*c + 2*l + 2 wrt c. 600*c**3*l + 4562256*c*l Find the second derivative of -16*a**3*x + 6*a**3 + 6*a**2*x + 102*a**2 - 80*a*x + 1031*a - 57*x + 2 wrt a. -96*a*x + 36*a + 12*x + 204 Find the third derivative of -135*g**2*h*z**3 - 281015*g**2*h*z + 2*g**2*z - 256*g*h*z**2 - 5*g*z**3 + 124450*z**3 wrt z. -810*g**2*h - 30*g + 746700 What is the second derivative of -1279*y**5 - 11053*y**4 + 30044252*y? -25580*y**3 - 132636*y**2 Find the third derivative of -74*g**6 - g**4 - 352552*g**3 - 338504324*g**2 wrt g. -8880*g**3 - 24*g - 2115312 What is the third derivative of -2*q**6 + 3187616*q**5 - q**3 + 213813*q**2 - 22*q? -240*q**3 + 191256960*q**2 - 6 Find the second derivative of 747751374*m**4 - 170452178*m wrt m. 8973016488*m**2 Find the second derivative of 16732*h**4 + 497*h**2 + 42055684*h wrt h. 200784*h**2 + 994 Find the second derivative of 22106*y**4 - 67*y**3 + 5*y + 714771 wrt y. 265272*y**2 - 402*y What is the derivative of -212*r*y**2 - 92*r*y - 442*r - 11*y**2 + 78201*y + 8 wrt r? -212*y**2 - 92*y - 442 What is the third derivative of 6841*g**3*h*t**3 + 1467*g**3*h*t + 2*g**2*h*t**3 - g**2*h*t - 25*g**2*t**3 + 7*g**2*t + 15*g*h*t - 13*h*t**3 wrt g? 41046*h*t**3 + 8802*h*t Find the second derivative of -h**4 - 5789258*h**2 + 32492323*h wrt h. -12*h**2 - 11578516 Find the third derivative of -5520665*r**3 - 4584*r**2 + 75. -33123990 Find the second derivative of -3574*s**4 + 7*s**3 - 2*s**2 + 2425*s + 24802. -42888*s**2 + 42*s - 4 Find the second derivative of 5281836*j**5 - 40537782*j wrt j. 105636720*j**3 Differentiate 555996596*v + 96774277 wrt v. 555996596 Find the first derivative of -593*d**3*q**3 + 2*d**3*q*y - 2246*d**3*q - 62837155*d**2*q**3*y wrt y. 2*d**3*q - 62837155*d**2*q**3 What is the third derivative of -8814*w**4 + 689*w**3 + 1293284*w**2 + w + 1? -211536*w + 4134 Find the third derivative of -521674*j**4 - 40*j**3 + 184028150*j**2 wrt j. -12520176*j - 240 What is the second derivative of -24*f**5 - 22094*f**4 + 139*f**2 - 287931006*f wrt f? -480*f**3 - 265128*f**2 + 278 Find the third derivative of 84*t**4 + 7376*t**3 + 2169652*t**2 wrt t. 2016*t + 44256 What is the third derivative of -35*d*g**5*t - 170438*d*g**3*t + 26*d*g**2 - 2*d*g - 23*d*t - 37*d + 2*t wrt g? -2100*d*g**2*t - 1022628*d*t What is the second derivative of 1525*t*z**3 - 6*t*z**2 - 951649*t*z - 12*t - 1530*z**3 wrt z? 9150*t*z - 12*t - 9180*z Find the third derivative of 2*l**3*r**3 + l**3*r - 852984*l**3 + 2565*l**2*r**3 - 388*l*r**3 - 2*l*r**2 wrt r. 12*l**3 + 15390*l**2 - 2328*l What is the derivative of 39446715*k**4 - 2*k**2 - 21167782? 157786860*k**3 - 4*k What is the second derivative of -17943786*j**2 + 9676682*j wrt j? -35887572 What is the third derivative of p**5 + 1041601*p**3 - 32135190*p**2? 60*p**2 + 6249606 What is the second derivative of l**3 + 9116047*l**2 - 1577665*l? 6*l + 18232094 Find the third derivative of -616765092*m**3 - 530*m**2 - 24865*m. -3700590552 Differentiate -27635001*x + 24784323 with respect to x. -27635001 What is the first derivative of 266*c**4*x**2 + 309800*c - 40*x**2 + 3988712*x wrt c? 1064*c**3*x**2 + 309800 Find the first derivative of 82*l**2*q - l**2 + 795801*l*q + 11963*q - 6058 wrt l. 164*l*q - 2*l + 795801*q Find the first derivative of -3017*y**2 - 3067*y + 882636802. -6034*y - 3067 Find the third derivative of 1155633381*q**3*w - 2*q**2*w - 46*q**2 + 478*q*w - 421 wrt q. 6933800286*w What is the second derivative of -313926252*f**5 - 446502892*f wrt f? -6278525040*f**3 What is the third derivative of 139*l**6 + 80505*l**3 + 214*l**2 - 188966*l? 16680*l**3 + 483030 What is the second derivative of p**5 - 3140671*p**4 + 18*p + 17350? 20*p**3 - 37688052*p**2 Find the third derivative of 31477191*u**6 + 941*u**2 + 1622 wrt u. 3777262920*u**3 What is the derivative of -672743*g**3 + 16217302? -2018229*g**2 What is the second derivative of 2*s**2*z**2 - 12179*s**2*z + 335*s*z**2 + 119*s*z + 40*z**2 wrt z? 4*s**2 + 670*s + 80 What is the third derivative of -4835286*b**3 + 39672151*b**2 wrt b? -29011716 Find the second derivative of -189460308*j**2*s**3 + 4*j**2*s + 5*j**2 + 2*j*s**5 - 1312*j*s + 8*j - 2*s wrt s. -1136761848*j**2*s + 40*j*s**3 What is the second derivative of 90389*f**4 + 439*f**2 - 585970058*f? 1084668*f**2 + 878 Find the second derivative of -456945847*d**2*g**2 - 678*d**2*g - 2*d**2 + 3*d*g - d + 3*g + 242 wrt g. -913891694*d**2 What is the derivative of -15700*r**3 + 22124*r + 370812888 wrt r? -47100*r**2 + 22124 Differentiate 1792*o**2 + 84706*o - 595206037. 3584*o + 84706 What is the second derivative of 4*z**3 - 2652798*z**2 - z + 6545087 wrt z? 24*z - 5305596 What is the first derivative of 25*h*j*n + 10*h*j - 71*h*n + 641295*h - 3102*j*n + 3*j + 2*n wrt n? 25*h*j - 71*h - 3102*j + 2 What is the second derivative of -679*o**2*w**2 + 2*o**2*w - 77379*o**2 + 5*o*w**2 + 6*o*w + 273*w**2 + 10*w wrt w? -1358*o**2 + 10*o + 546 What is the second derivative of -4*j**2*m**2 - 9*j**2*m + 35204*j**2 - 31*j*m**2 - 27613*m**2 + 9*m wrt m? -8*j**2 - 62*j - 55226 Find the second derivative of -b**3 - 920023*b**2*r - b*r + 259*b - 338 wrt b. -6*b - 1840046*r Find the third derivative of 122269442*s**6 + 350*s**2 - 2*s + 12122 wrt s. 14672333040*s**3 What is the third derivative of -2127512*v**4 + 122*v**2 + 24*v - 251? -51060288*v Find the third derivative of 45*q*w**3*x**3 - 708*q*w**3 + q*w**2*x + 10*q*x**3 + 1388*q*x + 2*w**3*x**2 - 2*w**2*x**3 + 4*w*x**3 - 65*x wrt w. 270*q*x**3 - 4248*q + 12*x**2 What is the derivative of -30517268*b + 41361970? -30517268 What is the derivative of 906035006*k - 843715071 wrt k? 906035006 What is the second derivative of -111963*g**2*i*k + 1077*g**2*k*y**2 + 14*g*i*k*y + 43396*g*i*y**2 + 32*i*k wrt g? -223926*i*k + 2154*k*y**2 Differentiate -i*o**2*s + 402*i*o**2 - 76339*i*o*s + 2*o**2 + 2*o*s - 16*o + 6*s + 11284 wrt i. -o**2*s + 402*o**2 - 76339*o*s What is the third derivative of 75*x*z**5 - 13719423*x*z**2 - x*z - 140795*z**5 wrt z? 4500*x*z**2 - 8447700*z**2 Differentiate 184*g**2*w*y**3 + 1934*g**2*w - 76113*w - 9*y**3 + y with respect to g. 368*g*w*y**3 + 3868*g*w Find the third derivative of 64260348*k**5 - 5321*k**2 + 3*k - 707. 3855620880*k**2 What is the second derivative of 9190580*a**2 - 88*a - 3551? 18381160 Find the third derivative of 93553698*w**3 - 72368722*w**2 wrt w. 561322188 Find the second derivative of 834524*s**2 + 635757*s + 5. 1669048 Find the first derivative of 2*p*s**2 + 5087288*p*
{ "pile_set_name": "DM Mathematics" }
et i be s(-4). Let z be 8/6 - i/(-6). Solve -2*g = -2*k - 2*k - z, 0 = g - k - 1 for g. 1 Suppose 14 = -2*m + 22. Solve 0 = 2*o - m*z + 4, 0*z + z = 5*o + 1 for o. 0 Suppose 4*a + 12 = 4*s, 4*s + 0 - 3 = a. Suppose 4*l = -4, s*l + 6 = f - l. Solve 18 = p + f*w, 4 = -p + 5*p + 3*w for p. -2 Suppose 4*l - 3*c = 47, -3*c - 14 = -l + 9. Solve 3*a + 18 = 5*d + 6*a, 3*d = a + l for d. 3 Suppose n + 12 = 30*u - 27*u, 5*u + n = 12. Let q(f) = f**3 - 4*f**2 - 4*f + 5. Let o be q(5). Solve -3*l = -5*d + o, -d - 12 = -u*l - 2 for d. 5 Let u be (30/(-35))/((-3)/14). Solve 0 = 3*p - 4*l + 24 + 7, 0 = 4*p + 4*l + u for p. -5 Suppose -12 = -5*p + 8. Suppose -d - p = -m, -2*d - 38 = 3*d + 4*m. Let b = -4 - d. Solve 0 = -4*c - f - 8, 0*f - 7 = 5*c + b*f for c. -3 Suppose -5 - 3 = -2*k. Let q = 11 - k. Solve d - 2*v = -q, -3*d + 3*v = 2*v + 11 for d. -3 Suppose -5*r - 5 = -5*c, r + 21 = 5*c - 0. Let a be ((-105)/75)/((-2)/10). Suppose 3 = c*o - a. Solve -15 = 2*g - 7*g - 2*k, o*g - 6 = k for g. 3 Let u be (-5)/(-3)*3*5. Suppose -3*d - m = -u, 5*d - 5*m - 19 = -m. Suppose -9*k = -0*k - 36. Solve o + 7*q - d = k*q, 0 = 5*o - 5*q + 5 for o. 1 Suppose 4*y - h - 6 = 2, 3*h = 4*y - 16. Let b = 80 - 78. Solve a = -b*i - 0*i - 8, 2*a = -i - y for i. -5 Suppose i + 1 - 3 = 0. Solve -5*l - 5 = 5*j, -i*j + 3*l + 5 = -18 for j. 4 Let x(g) = g**2 - 17*g + 34. Let p be x(15). Solve -4*s - 2*b + 2 = 0, p*b = 2*s - b + 29 for s. -2 Let q be (-22)/(-12) + 1/6. Let j = -22 + 27. Solve -j*p - v = q*v - 1, 11 = p - 3*v for p. 2 Let p(j) = j**3 + 14*j**2 + 12*j - 8. Let h be p(-13). Let w = -1 - -1. Let z = -3 + 6. Solve w = 4*k + k - i + 8, h*k - z*i = -14 for k. -1 Suppose 4*b + 9 = n, -2*b - 8 = 5*n - 31. Let i be (3/b - -7)*4. Solve 2*d + 2*c = -14, -3*c - i = -4*d + 6*d for d. -5 Let u = 13 + -4. Solve -4*q = j - u, j = -4*q + 3*j + 6 for q. 2 Suppose 7*p - 4 = -4. Solve p*k + 2*k - 2*l + 8 = 0, -4*k + 3*l - 17 = 0 for k. -5 Let h(a) = -a**2 + 6. Let f = 5 + -5. Let g be h(f). Solve c - 8 = g*c + 4*u, 4*u + 8 = -c for c. 0 Let y be (8/6)/(1/3). Solve a + 4 = y*u - 9, u = -a + 7 for a. 3 Let y = 287 - 285. Let l(c) = -10*c**3 - c**2 - 2*c - 1. Let p be l(-1). Let n be (-4)/p - 12/(-5). Solve 5*w - v = 4, n*v + 5 = y*w - 3 for w. 0 Let g(c) = -c**2 - 2*c - 1. Let d be g(-3). Let r be (-8 - d - -4) + 4. Solve s = -4*s - r*p, 0 = -5*s - 5*p + 5 for s. -4 Suppose 3*h - 5*h = 0. Suppose 4*d + 5*n - 26 = h, -3*d = -7*d + 2*n + 12. Solve 4*s + d*l - 28 = 0, 7 = 3*l + 1 for s. 5 Let a be ((-4)/(-4))/((-1)/(-2)). Suppose t = -4*n - 4*t + 23, -2 = a*n - 2*t. Solve -5*w = n*i - 11, w + i = -w + 5 for w. 1 Suppose -y - 4*y + 50 = 0. Suppose -d - 4*d + y = 0. Solve 0 = d*g - 5*f - 3, 2*g - 6*g - 7 = 3*f for g. -1 Let b be 15*(2 - ((-9)/(-3))/3). Solve -x = -5*r - b, -1 = 2*r + 3 for x. 5 Let v be (-3)/((-18)/4) + 700/75. Solve 0 = 5*l - v, -4*l + 12 + 1 = -p for p. -5 Let u be 1 - (-3 + 1) - 1. Suppose -y - u*y = -21. Solve 5*g = -4*o - y, 0*g = -2*g - 3*o - 7 for g. 1 Suppose -2*a + 5 = -f, 0 = -4*a + f - 4*f + 15. Suppose -5*w = -a*l + 2 + 28, -w = -3*l + 30. Solve 3*u - l = -0*u - p, 0 = 2*u + p - 6 for u. 4 Let o be -12 + -1 - (-4 - -2). Let s = o + 16. Suppose s*z - 9 = -2*v, -2 = -v + 3*z - 6*z. Solve -v + 1 = -3*a - 5*m, 3*a - 14 = -4*m for a. 2 Let v be (-22)/(-55) + (-36)/(-10). Solve v*o - 16 = -a - a, -4*a + o + 14 = 0 for a. 4 Let p(r) = -r**2 + 5 + 5*r**2 + 0 - 3*r**2. Let v be p(-4). Solve 0 = t - 4*c - v, 2*t + 3*c + 6 = 4 for t. 5 Suppose 8*y - 4 = 6*y. Suppose -4*v = -y*x - 10, x - 5*v + 11 + 9 = 0. Solve 2*o - 3*z - 13 = 0, -4*o + x*z = -7*o + 10 for o. 5 Let y be (16/(-5))/(5/(-25)). Solve 2*g = 2*r - 0*r - 8, -3*r + y = -5*g for g. -2 Suppose -6*m = -65 + 11. Solve -4*n = 5*a - n - m, a + 5*n - 15 = 0 for a. 0 Let r = -1 + 4. Let m(g) = -2*g**3 + 1. Let f be m(-1). Solve r*y + 7 = k, -y + k = -f*k + 6 for y. -2 Suppose -5*m = 4*t - 36, 0*m - t = -m. Solve -2*f + 9 = 4*w - f, 2*w + m*f = -6 for w. 3 Suppose 5*u - s = 25, u - 15 = -2*u - 3*s. Solve 0 = -3*a - 15, u*z - a + 10 = -10 for z. -5 Let o = -60 - -72. Solve 2*q + 9 = 3*h, o = 3*q + q for h. 5 Let x(j) = -j**3 - 13*j**2 - 12*j - 9. Let m be x(-12). Let v(l) = 1 + 1 + 9 - 2 + l. Let h be v(m). Solve -p - i + 6 = h, -i - 3 = -3*p + p for p. 3 Let m(v) = -3*v. Let u be m(-1). Suppose -l = -3*j + 3 - 0, -j + 29 = 2*l. Solve u*c - l = k + c, -5*c + 35 = -5*k for k. -2 Let m be 16/(-40) + (-34)/(-10). Suppose 2*c - 8 = 0, m*g = g + 3*c - 6. Solve 10 = t + 3*j, -t - 35 = g*t - 3*j for t. -5 Suppose -7*k + 2*k + 25 = 0. Let s = -3 + k. Solve -4*z - 3*r - 8 = 0, -s*z + 4*r + 14 = -4*z for z. 1 Let j be 15 - (-3 + 2 + -2). Let y = 3 + -1. Suppose -2*k + 6 = -y. Solve -k*o + j = m, -4*o + 14 = -0*o - m for o. 4 Let m(c) = 3 - 3 + 2 - 3 + 15*c. Let r be m(1). Solve r = 4*k - 2*x, 0*k + 3*x = -4*k + 9 for k. 3 Suppose 0 = 2*j - 4*s - 38, -s = 3*j + 9 - 31. Let k = 11 - j. Solve k + 8 = p + 2*y, -2*y = -3*p + 6 for p. 4 Let n = -2 + 5. Let p = 6 - n. Solve 0 = c + 5*a - 14, 0 = 3*c + p*a - 2*a - 14 for c. 4 Let a(i) = -i + 3. Let x be a(6). Suppose -3*u - 2*o = -6*o - 34, 0 = -u + o + 10. Let p = x + u. Solve 3*y = -b + 6*b + 22, p*b = 3*y - 12 for y. -1 Let h = 121 + -119. Solve -2*u = 4*z - 4, z - u = 2*z - h for z. 0 Let k = 15 + -11. Solve -b - 3 = -3*o, 5 = -2*o - k*b - 7 for o. 0 Let q = -6 + 8. Solve r + 4*r - q*w - 6 = 0, 3*w = 2*r + 2 for r. 2 Let q = -13 + 16. Solve -q*g - 2*o = 7, -6*g + 2*g - 1 = o for g. 1 Let t be (-15)/3*(-7 + 12/3). Solve -l - 4*x - 19 = 0, -t = 5*x + 5 for l. -3 Let i(k) = -k**2 - 18*k - 12. Let s be i(-17). Suppose 3*o = s*m + 25, 8*o - 3*o + 5 = -m. Let c = 5 - 3. Solve v - 4*x - 19 = o, 2*v + 0 = c*x + 8 for v. -1 Let l(q) = q**2 - 5*q + 10. Let u be l(4). Solve 0*f + f + u = -2*z, 4*f = -4*z - 16 for z. -2 Let p be 2/6 + 4/6. Let w = p - -1. Suppose 2*m + w - 6 = 0. Solve 0 = -5*o - 5, r = -o - o + m for r. 4 Let r(q) = -q + 13. Let p be r(11). Solve 5*h - 2*c + 0*c - 3 = 0, p*c = -8 for h. -1 Suppose -3*z - 5*w + 1 = 0, 2*z + 5 = 6*z + 3*w. Suppose -14 = -z*l - 4. Solve l*h - 17 = 3*n, 6*n = n + 4*h - 11 for n. 1 Let i be 0*(-3 + -1)/8. Let y = i + 5. Solve y*z + 2*f + 0*f = 1, 10 = -5*f for z. 1 Suppose 0 = 4*z + z. Let j be 164/52 - (-2)/(-13). Solve z = 3*i - 5*a, -2*i + 2 = -j*a - a for i. -5 Suppose -3*q + q - 10 = 5*a, 3*a + 20 = -4*q. Let h(i) be the first derivative of -i**2/2 - 4*i + 1. Let d be h(-8). Solve 5*s - 9 = 3*o, -2*o = -d - a for s. 3 Let f(s) be the third derivative of -1/2*s**3 - 1/30*s**5 + s**2 - 1/120*s**6 - 1/8*s**4 + 0 + 0*s. Let c be f(-2). Solve 4*b = v + b - 9, -v - b = c for v. 0 Let y = 5 + -8. Let g be 2*-4*y/12. Solve -3*w = -5*r - 19, -4*r - g = -w + 9 for r. -2 Let z(c) = c - 6 + c + 2*c. Let y be z(4). Let q be (-30)/(-7) - y/35. Solve 0 = 5*b - q*t - 0*t - 25, 3*b - 3*t = 18 for b. 1 Suppose 4*r - 5 + 3 = -3*o, -4*r = -4*o + 12. Solve 5*g - 15 = -5*j, -j - o*g + 8 = 2*j for j. 2 Let a(s) = s + 2. Let j be a(-3). Let o be j/(-4) + (-133)/(-28). Solve 3*l + o = 5*d, 4*d + 2 + 1 = l for d. -2 Suppose 5*y - 20 = m, -2*y - 2*y + 2*m + 22 = 0. Let s be 42/11 - 14/(-77). Solve p = -4*a + 1 + 5, -s*p = y*a + 2 for a. 2 Let f = -12 + 6. Let j = f - -8. Suppose j*l = 10, 4*a - 2*l = -0*l + 10. Solve 4*o + a*h + 5 = 0, o = -4*o - 5*h - 10 for o. -5 Let g(o) = o**2 - 13*o - 2. Let f be g(13). Let m = 7 + f. Solve 0 = -4*r + m*i + 24, 2*r + 1 = -r - i for r. 1 Let x(d) = d**2 + d + 1. Suppose 4*h + 23 = 3. Let r be x(h). Suppose b = 4*v - r, 0 = -3*v + 6*v - 5*b - 37. Solve 21 = 5*m + v*i, 6*m + 5*i - 20 = m for m. 5 Let t be (-7)/(-3) + (4/(-3))/4. Solve 11 - t = 3*c, 19 = 2*i + 5*c for i. 2 Suppose q = 5*q. Solve p = -3*f - 2, 2*p - 2 + q = 0 for f. -1 Let l = -1 - -4. Suppose -y + 2*v + 25 = 0, 3*v + 29 = -2*y + l*y. Suppose -y - 13 = -2*k. Solve -5*q - 4 - k = x, 3*q = -12 for x. 1 Let t be 5/((-15)/(-48)) + 1. Let m = t + -11. Let q = -4 + m. Solve -2*h + 0*h - q*a = 8, 4*a + 23 = 3*h for h. 1 Suppose -6*r - 3 + 27 = 0. Suppose 2*s + p - 22 = 0, -s = r*p - 2 - 9. Solve -5*x = -2*d - 9, 3*d + 5 = x + s for x. 3 Let x(b) = -b**3 + 3*b**2 + 4. Let i be x(3). Solve 0*y - 5*y = 20, -i*y = 2*l + 24 for l. -4 Let u = 8 - 1. Let k be (-11 + u)*(-2 - 1). Let c = k
{ "pile_set_name": "DM Mathematics" }
384*y Let r be 2496/20 - (-8)/40. Let i be -5*6*(-2350)/r. Differentiate -14 - 587*u**4 + i*u**4 - 2 wrt u. -92*u**3 Let o(r) be the first derivative of 1150*r**4 + 828*r**3 - 5302. What is the third derivative of o(p) wrt p? 27600 Let h(x) = -1304*x**2 + 6*x - 535. Let p(l) = 2586*l**2 - 11*l + 1070. Let c(v) = 11*h(v) + 6*p(v). Differentiate c(d) wrt d. 2344*d Let i(s) be the third derivative of 0*s**3 + 26/35*s**7 + 0*s**4 - 18 - 8*s**2 - 21/20*s**5 + 0*s + 1/60*s**6. What is the third derivative of i(p) wrt p? 3744*p + 12 Let u(c) be the third derivative of -1091*c**4/12 + 367*c**3/6 + 1154*c**2. Differentiate u(j) wrt j. -2182 Let n(z) be the third derivative of 23*z**6/30 + 7*z**5/60 + 11*z**4/24 - 8*z**3 - 22*z**2 + 111. What is the second derivative of n(x) wrt x? 552*x + 14 Let o(y) be the second derivative of 5*y**6/6 - 2*y**4/3 - 3*y**3/2 + 9*y**2/2 - 1158*y - 1. What is the second derivative of o(f) wrt f? 300*f**2 - 16 What is the third derivative of 898*m**6 - 3*m**2 - 1053*m**4 - 2*m**5 + 470*m**6 + 585 + 1053*m**4 wrt m? 164160*m**3 - 120*m**2 Let y be (10/5)/((-1)/(-6)). Let h be 108/y*2/9. Find the second derivative of 8*z + 2*z**2 + z**2 + z**h - z**2 wrt z. 6 Let c(r) = -r**3 - r**2 - 14*r. Let y(q) = 3503*q**4 + 6*q**3 + 11*q**2 + 84*q + 159. Let v(s) = -6*c(s) - y(s). What is the third derivative of v(b) wrt b? -84072*b Let q be 32/((-28)/(-7)) + -5. Find the second derivative of -11 - 12*l**q + l**3 - 3433*l + 3437*l wrt l. -66*l Let x = 216 - 213. What is the derivative of 0*c - 239 - c - 8*c**x + 3*c + 6*c wrt c? -24*c**2 + 8 Suppose 4*u = 2*b - 12, 5*b - 8*b + 2*u + 10 = 0. What is the derivative of -174*x**b + 27*x**2 - 237 + 43*x**2 - 2*x wrt x? -208*x - 2 What is the third derivative of -4456860 - 10*j - 2*j**2 + 4456860 - 1334*j**3 wrt j? -8004 Let y(n) be the second derivative of -n**4/4 + 1235*n**3/6 + 3361*n**2 - n + 4603. Find the first derivative of y(k) wrt k. -6*k + 1235 Let p = 14 + -11. Suppose 8 = -3*v - 5*l + 35, p*v + 2*l = 18. Find the second derivative of -140*d**2 - 3*d + 140*d**2 - 4*d**v wrt d. -48*d**2 Let c = -147 - -156. What is the derivative of 2*p**2 + c - 6*p - 6 + p + 6 + 11*p wrt p? 4*p + 6 Let o = 179 + -143. Differentiate -8*f**4 + o - 13*f**4 - 7 + f**2 wrt f. -84*f**3 + 2*f Suppose -25138 = -4*m + 4*z + 25638, -z = 3*m - 38090. Differentiate -m*i - 18 - 59*i**3 + 12696*i wrt i. -177*i**2 Let t = 829 - 826. What is the second derivative of w + 311 + 2*w**2 - 282*w**t + 306 - 601 wrt w? -1692*w + 4 Let h(v) = -4100*v**4 - 4*v**3 + 12*v - 1717. Let n(d) = 4099*d**4 + 5*d**3 - 15*d + 1717. Let m(a) = 5*h(a) + 4*n(a). Find the first derivative of m(u) wrt u. -16416*u**3 What is the second derivative of -3*z**3 + 5*z**3 + 295970*z**2 - 189*z - 295970*z**2 + 155*z**4 + 1510*z wrt z? 1860*z**2 + 12*z Let g be -4 - (12 + -4 - 66). Find the first derivative of -g*j + 106 - 110*j + 6 + 8 + 19 wrt j. -164 Let i(c) be the first derivative of 0*c**4 + 0*c**3 + 19/5*c**5 + 0*c**2 + 41 + 14*c. Differentiate i(o) wrt o. 76*o**3 Let r be -5*1*(-2032)/6350. Let k(b) be the second derivative of -r*b**5 - 22*b + 0*b**4 + 0*b**3 + 0 + 12*b**2. What is the derivative of k(v) wrt v? -96*v**2 Let b be (-225)/(-125)*5/3. What is the derivative of 123 - 3*w**b - 20 + 4*w**3 wrt w? 3*w**2 Let y(c) = 12061*c**3 - 3930*c**2 + 6*c. Let f(g) = -12064*g**3 + 3929*g**2 - 5*g. Let k(i) = 6*f(i) + 5*y(i). What is the third derivative of k(a) wrt a? -72474 Let i(w) be the second derivative of 37/28*w**8 + 0*w**5 - 187/12*w**4 + 0*w**3 + 0*w**2 + 8 + w + 0*w**6 + 0*w**7. What is the third derivative of i(n) wrt n? 8880*n**3 Suppose 5*f - 31 = -4*u, -f + 2*f + 5*u - 23 = 0. What is the third derivative of -195*p**f - 37*p**2 - 2*p + 152*p**3 + p wrt p? -258 Let o = -492 - -496. Find the first derivative of -77*v**4 - 34*v**4 + 154 - 11*v**o - 37*v**4 wrt v. -636*v**3 Let f(c) be the second derivative of -2*c**6/15 - 37*c**5/4 + c**4/12 - c**3/2 - 109*c**2/2 - 734*c + 1. Find the second derivative of f(n) wrt n. -48*n**2 - 1110*n + 2 Let q(o) be the third derivative of 1/20*o**5 + 0 + 1/3*o**4 + 0*o - 7/2*o**3 + 67*o**2. What is the derivative of q(k) wrt k? 6*k + 8 Let l(h) be the first derivative of 11/2*h**2 - 6*h + 103. Differentiate l(s) with respect to s. 11 Let i(p) be the second derivative of 1/3*p**3 + 0*p**2 - 124*p - 13/20*p**5 + 0 - 47/12*p**4. Find the third derivative of i(r) wrt r. -78 Let n(j) be the second derivative of -j**5/10 - 1673*j**4/12 - j**3/3 - 105*j**2/2 - 4344*j. Find the second derivative of n(b) wrt b. -12*b - 3346 Let r(b) = 2549*b**2 - 3686*b. Let i(k) = -3824*k**2 + 5526*k. Let c(l) = -5*i(l) - 7*r(l). Find the second derivative of c(m) wrt m. 2554 Let b(j) = -4884*j**3 - 2933*j. Let t(x) = 4897*x**3 + 2932*x. Let a(m) = -4*b(m) - 3*t(m). What is the second derivative of a(h) wrt h? 29070*h Let y(q) = 1814*q**3 + 53*q**2 + 5*q - 99. Let f(x) = x**3 - 11*x**2 - x - 1. Let k(v) = 5*f(v) + y(v). What is the third derivative of k(t) wrt t? 10914 Let t = 74 + -63. What is the second derivative of 154*s**2 - 77*s - t*s - 7*s wrt s? 308 Differentiate -1173*b - 260 - 662 + 4229*b + 168 with respect to b. 3056 Let u(b) be the first derivative of 0*b**5 - 40 - 7/3*b**3 + 6*b + 0*b**4 + 0*b**2 + 10*b**6. What is the third derivative of u(d) wrt d? 3600*d**2 Suppose 0 = -3*y + y + 48. Let f be -1 - (-1)/(-1 + 28/y). Find the third derivative of -5*k**2 - 3*k**2 - f*k**2 - 14*k**5 - k**2 wrt k. -840*k**2 Suppose 0*q - 4*q - 80 = -2*u, 0 = 2*u + 4*q - 104. Suppose u = 10*b + 6. Find the third derivative of -174*t**2 + 4 + 169*t**2 + 19*t**3 - b wrt t. 114 Let i(c) be the third derivative of 0 + 5/12*c**6 + 19/24*c**4 + 0*c - 20*c**2 + 0*c**5 + 0*c**3. Find the second derivative of i(n) wrt n. 300*n Let p(w) = -464*w**3 + 4*w**2 - 1211*w + 32. Let r(d) = -465*d**3 + 5*d**2 - 1211*d + 40. Let v(a) = -5*p(a) + 4*r(a). Find the second derivative of v(j) wrt j. 2760*j Let k(x) = -4 - x + 6*x**3 - 7*x**2 - 7*x**3 - 6*x + 5*x. Let g be k(-7). What is the first derivative of g*v + 3 - 21 - 5 wrt v? 10 Suppose -14*v + 48 - 6 = 0. Let t be (-4)/(-2)*v/2. Differentiate 16 + 107*p**2 + 3*p - 119*p**2 - t*p with respect to p. -24*p Let r(w) = -7939*w**2 + 6*w - 4006. Let v(z) = 7931*z**2 - 4*z + 4005. Let m(i) = -2*r(i) - 3*v(i). Find the first derivative of m(c) wrt c. -15830*c Suppose 14 = -2*d + 6. Let h be 3 - 1*(8/d - -1). Differentiate h - 8 - 4*n**4 + 18*n**4 + 22 wrt n. 56*n**3 Let a(z) = 14*z + 159. Let g be a(-9). What is the third derivative of -3*k**4 - k**4 - g*k**5 + 195*k**2 + 4*k**4 - k**4 + 0*k**4 wrt k? -1980*k**2 - 24*k Let t be 12/(-32) + 7698/48. Find the third derivative of -2*p + 51*p**4 + 61*p**4 + p - 112*p**4 + 23*p**2 + t*p**6 wrt p. 19200*p**3 Let p(r) be the second derivative of 1/20*r**5 + 0 + 0*r**2 - 156*r - 61/12*r**4 - 97/30*r**6 + 0*r**3. What is the third derivative of p(g) wrt g? -2328*g + 6 Let v(z) = -117*z**2 - 37*z - 17. Let a(y) = y - 3. Let d(c) = 8*c - 47. Let m be d(6). Let n(u) = m*v(u) - 6*a(u). What is the second derivative of n(l) wrt l? -234 Let a(q) = q**3 + 6*q**2 - 7*q + 6. Suppose -4*h - 3 - 25 = 0. Let l be a(h). What is the second derivative of -12*j**5 + 0*j**5 - 9*j + l*j wrt j? -240*j**3 Let n(l) = -l**2 - 13*l + 73. Let x be n(-17). Find the second derivative of -37*y - 35*y - 6522*y**x + 6436*y**5 wrt y. -1720*y**3 Let u(j) be the second derivative of -203*j**6/30 + 2*j**5/5 - j**4/12 - 287*j**3 - 3803*j. Find the second derivative of u(m) wrt m. -2436*m**2 + 48*m - 2 Find the second derivative of 4604681*t**2 + 247*t**3 - 4604681*t**2 - 1361*t wrt t. 1482*t Let k(i) be the second derivative of 3385*i**4/6 + 11*i**3/6 + 136*i**2 - 327*i. Find the second derivative of k(t) wrt t. 13540 Suppose 0 = -17*u + 16*u. Suppose -5*p + 13 + 7 = u. Find the third derivative of 22*j**2 + 27*j**4 - 45*j**4 + 39*j**p wrt j. 504*j What is the second derivative of -50799*v**2 + 15684*v**2 + 11031*v**2 + 14403*v**2 - 7084*v wrt v? -19362 Suppose -88 = -4*b + 2*w, 3*b - 129*w + 125*w = 51. Let d(i) = i + 4. Let c be d(3). What is the second derivative of 0*z**2 + 2*z - c*z**2 + b*z + 6*z wrt z? -14 Let p(q) = 5*q**4 + 3*q**3 - 13*q**2 + 39*q - 53. Let v(s) = s**3 - 14*s
{ "pile_set_name": "DM Mathematics" }
- 3*s - 2*s) + 2*s - 3*s + 0*s + 0*s - 2*s + 15*s). -20*s**2 Expand (-1 + 1 + 1)*(3*z**2 + 0*z**2 - 7*z**2)*(-5*z**3 - 2*z**3 + 5*z**3). 8*z**5 Expand (0*a - a + 0*a)*(7*a - 16*a - a). 10*a**2 Expand (2*i - 10*i + 12*i)*(1 - 1 - 2). -8*i Expand (0 - 3 + 2)*(v**2 + 1 - 1) - 5*v + 5*v - 2*v**2 - 2*v**2 - 2 + 2 - v**2 + 2 - 2. -6*v**2 Expand -4*z**3 + 0*z + 0*z + (1 + 2 - 2)*(-3*z**3 + 0*z**3 + 2*z**3) + (-2 + 2*z + 2)*(-4*z**2 + 4*z**2 + 2*z**2) + z**3 + 4*z**3 - 3*z**3. z**3 Expand (8 + 8*d - 8)*(4*d - d - 4*d). -8*d**2 Expand (-5*b + b + 3*b)*(-5 + 0 + 2)*(b**2 + 1 - 1). 3*b**3 Expand (4 + 0 + 2)*(-t + 4*t - t)*(3*t + 4*t - 6*t). 12*t**2 Expand (-1 + 1 + 1)*(3*j**2 - 4*j**2 + 2*j**2) + (0*j + 2*j**2 + 0*j)*(2 - 2 + 1). 3*j**2 Expand (-2*c**3 + 0*c + 0*c)*(4*c - 2*c + 2*c) - 4*c**4 + 2*c**4 + 3*c**4. -7*c**4 Expand (4*i**2 - 4*i**2 + 5*i**2)*(2*i - 4*i + 0*i) + 0 - 5*i**3 + 3*i**3 - 1. -12*i**3 - 1 Expand (-4 + 0*n - n + 1)*(0 + 0 - 2*n). 2*n**2 + 6*n Expand (4*x + 1 - 4*x + 2*x)*(42 + 54 - 35). 122*x + 61 Expand (-q**2 + q**2 + 2*q**2)*(-21 + 10 + 2). -18*q**2 Expand (1 - 1 - h)*(1 + 0 + 1) + h - 2*h - h + (1 - 2*h - 1)*(3 + 1 - 3) - 2*h + 1 - 1 - 2*h + h + 2*h. -7*h Expand (-3*c - 2*c + 6*c)*(1 + 5*c - 1) + 11*c**2 - 21*c**2 + c + 17*c**2. 12*c**2 + c Expand (-1 - 3 + 8)*(-f**3 + 3*f - 2*f**2 - 3*f). -4*f**3 - 8*f**2 Expand (2*p - p - 2*p)*(-7 + 24 + 4). -21*p Expand -c**5 - 2*c + 2*c + (3*c**3 + c**3 + 3*c**3)*(c + c**2 - c). 6*c**5 Expand q**5 + 0*q**3 + 2*q**3 + 0*q**5 + (2 - 4 + 5)*(4*q**5 - 2*q**5 - 3*q**5) + (-4*q**2 + 2*q**2 - q**2)*(-q**2 + q**2 + q**3). -5*q**5 + 2*q**3 Expand (-2 + 5 + 4)*(z + 0 + 0) + 2*z - z - 2*z. 6*z Expand (k + 0*k - 3*k)*(-2*k - 1 + 1) + 3*k**2 + 18*k**2 - 32*k**2. -7*k**2 Expand -2 + 2 - 5*g + g + 0*g - 2*g + (-2 + 1 + 3)*(0*g + g + g) + 3*g + 0*g - 4*g. -3*g Expand ((-2*x - x + 0*x)*(-1 + 1 - x) + 4*x**2 - x**2 + 0*x**2)*(-3 - 3 + 4). -12*x**2 Expand (1 - 2 + 0)*(0 + 3 - 4)*(-107*k**2 + 107*k**2 - 4*k**5). -4*k**5 Expand (4*c - 5*c + 0*c)*((2 - 2 - 1)*(2 - c - 2) + 5*c - 2 + 2) + c**2 - 4*c + 4*c. -5*c**2 Expand ((0 + 0 + 2*t)*(3*t - 4*t + 3*t) - t**2 - 3*t**2 + 6*t**2)*(-3*t**3 - 3*t**3 + 12*t**3). 36*t**5 Expand (-3 + 3 + 3)*(3 - 1 + 7)*(-f + 3*f - f). 27*f Expand (0 + 1 - 3)*(5*a - 5*a - 3*a)*(0*a - a + 3*a) - a**2 + 2*a**2 - 4*a**2. 9*a**2 Expand (1 - 1 + d)*(-4 + 4 + 6*d**3 - 3). 6*d**4 - 3*d Expand (2 - 2 + 2*m)*(0 + 0 - 2*m) - m**2 + 2*m**2 + m**2 + 41*m**2 - 16*m**2 - 10*m**2. 13*m**2 Expand (-5*u + 4*u + 2*u)*(-4*u - u + 4*u)*(3*u**2 - 3 + 3). -3*u**4 Expand 2*u + u - 4*u - 2*u - 3*u + 4*u - 2*u - 5*u + 4*u + (-3 - 2 + 2)*(u + 3 - 3) - u + 3*u + 0*u. -6*u Expand 2*w - 3*w + 4*w + (0*w + 2*w + 0*w)*(-1 + 6 - 2). 9*w Expand (p - 2*p + 0*p)*(2*p**2 - 6*p**2 + 2*p**2 + (-3 + 3 + p**2)*(-3 + 1 + 1) + 4 - 4 + 2*p**2 - 1 - 2*p**2 + 1 + (-p - p + 0*p)*(6*p - 15*p + 10*p)). 5*p**3 Expand (4 - 1 - 4)*(-2 + 2 + 1)*(11*d - 21 + 21). -11*d Expand (-n - n + n)*(-1 + 1 + 6*n) + 0*n + 2*n**2 + 0*n. -4*n**2 Expand 0*n**2 - n**2 + 0*n**2 + (-n - 4 + 4)*(-2*n + 2*n + 5*n) + (4*n - 4*n + n)*(-1 + 3*n + 1). -3*n**2 Expand (3 - 4 - 1)*(-l + 3*l - 4*l) + 0*l + l - 2*l + 4*l - 3*l - 2*l. 2*l Expand (0 + 0 - k**2)*(7 + 4*k - 7)*(-2*k**2 + 1 - 1). 8*k**5 Expand (-4*z**2 + 2*z**2 + z**2)*(3*z - 2*z - 3*z) + 2*z**3 - 4*z**3 + 0*z**3 + (0*z**3 + 0*z**3 + z**3)*(-2 + 2 - 2). -2*z**3 Expand (60 + 7*q - 60)*(3 - 4 + 3) + 2*q - 6*q + q. 11*q Expand (-3*c + 3*c + 2*c)*(-9*c + 13 - 13)*(-4*c + 3*c + 3*c). -36*c**3 Expand -3*w**3 - 2 + w + 0 + 4*w**3 + (-2*w - 3*w + 3*w)*(2*w - 8*w**2 - 2*w). 17*w**3 + w - 2 Expand 0*b**5 + 0*b**5 - 4*b**5 + (-3*b**3 - 2*b + 2*b)*(-b**2 + 0*b**2 + 3*b**2). -10*b**5 Expand ((-4 - 2 + 4)*(0 - 1 + 0) + 5 - 4 - 4)*(4*q**3 - 4*q**3 - q**4). q**4 Expand 4*u - 6*u + 0*u + (-4 - 2 + 3)*(-2*u - 4*u + 3*u) - u + 0*u + 0*u. 6*u Expand -2*z**3 - z**2 + z**2 + (-5*z + 4*z + 0*z)*(z**2 + 5*z - 5*z). -3*z**3 Expand (-8*t + 0*t + 0*t)*(3 - 5 + 1)*(-4 + 2 + 1). -8*t Expand (3 + l - 3)*(4*l**2 - l**2 + 25*l**2). 28*l**3 Expand 5*c + 328 - 328 + (2*c - 3*c - c)*(0 - 1 + 4)*(0 + 1 - 3). 17*c Expand 2*d**5 - 3*d**5 + 3*d**5 - d**5 + 7*d**5 - 2*d**5 + (-2*d**2 + 1 - 1)*(-d**2 + d**2 - 3*d**3) - 2*d**3 - 2*d**5 + 2*d**3. 10*d**5 Expand 4*w**4 + 4*w**4 - 5*w**4 + (3*w**2 - w**3 - 3*w**2)*(5*w - 6*w + 0*w) + w**4 - 4*w**4 + 6*w**4. 7*w**4 Expand (-3*z - z + 2*z)*(-z + z - 2*z**2) - 34*z**3 + 10*z**2 - 10*z**2. -30*z**3 Expand (3*l - 3*l**2 - 3*l)*(2*l**3 - l**3 + 2*l**3) + 5*l**5 - 3*l**3 + 3*l**3. -4*l**5 Expand -2*s + s - s - 2*s + 5 - 5 - 6*s + 2*s + 2*s + (1 + 0 + 1)*(0*s - 2*s + 4*s) + 3*s - s + 0*s - 3*s - 3*s + 4*s + 4*s + 0*s - s. s Expand (a - 2 + 2)*(0*a + 3*a - 2*a) + (-a + 0*a - a)*(-3*a + 3*a + 3*a). -5*a**2 Expand (-1 + 1 - 1)*((2 + 2 - 3)*(-3*h + 3*h + h) - 3*h + h + 4*h). -3*h Expand (0 + v**2 + 0)*(-15*v - 7*v + 5*v + 1). -17*v**3 + v**2 Expand (2*g - 2 + 2)*(15 + 4 - 1)*(-2 + 2 + g). 36*g**2 Expand (-2*u**2 + 6*u**2 - 2*u**2)*(5*u**2 - 5*u**2 + u**3) + (2*u**2 - 3*u**2 + 2*u**2)*(2*u**3 + 1 - 1). 4*u**5 Expand (9*j**2 + 7*j**2 - j**2)*(-5*j - j**3 + 5*j). -15*j**5 Expand 4*u**2 + u**2 - 2*u**2 + u**2 + 0*u**2 + u**2 + (5*u - 2*u - u)*(-3*u + 0 + 0) - 2*u**2 + u**2 + 3*u**2. u**2 Expand (0 + 0 + 1)*(37 + w + w - 12). 2*w + 25 Expand (4 - 6*m - 6 + 3)*(1 + 0 - 9). 48*m - 8 Expand (-w + w - 2*w)*(195 - 195 - 72*w). 144*w**2 Expand j**2 - j**2 - 3*j**2 + (j + 0 + 0)*(-11*j + 33 - 33). -14*j**2 Expand (f**3 + 0*f**2 + 0*f**2)*(-f**2 - f**2 + 3*f**2) + 2*f**5 - 2*f**5 + f**5 + (4*f**4 - 3*f**4 + f**4)*(2*f + 1 - 1) + 2*f**5 - 3*f**3 + 3*f**3. 8*f**5 Expand 1 + 1 - 2*g**3 + 3*g**2 - 5*g**2 + (2*g**2 + 1 - 1)*(-g + g - 2*g) + g**3 + g**3 + 0*g**3. -4*g**3 - 2*g**2 + 2 Expand (-1 - m**3 + 1)*(-2 - 4 + 4) + (m**3 - 4*m**3 + 5*m**3)*(-3 + 0 + 1) - 1 + 1 + 5*m**3. 3*m**3 Expand (-d - 9*d - 3*d)*(3 + 3 - 4) + (0 + 1 + 0)*((3*d - 3*d - d)*(-1 + 1 - 2) - d + 0*d + 3*d). -22*d Expand (12*h + h - 8*h)*(h**2 - h**2 - h**2) + 2*h - 2*h - 2*h**3. -7*h**3 Expand -3*x**4 + 6*x**4 - 5*x**4 + (4*x**3 + x**3 - 3*x**3)*(-3*x + 0*x + x) + x**4 + 1 - 1 + 6*x**4 + 5 - 5 + (4*x**2 + 2*x**2 - 4*x**2)*(-2*x**2 + 0*x + 0*x). -3*x**4 Expand ((-5*v - v + 4*v)*(4 - 4 + 2) + 2 - 2 - 2*v)*(-2*v - v - 3*v). 36*v**2 Expand (-51 + 89 - 44 - 2*u)*(0*u**4 + u**4 + 0*u**4). -2*u**5 - 6*u**4 Expand -3*d - 3*d**4 + 0*d + 4*d**4 + (d + 4*d - 3*d)*(2*d**3 - 2 + 2). 5*d**4 - 3*d Expand (1 - 19 + 3)*(-5*o**2 + o**3 + 5*o**2) + (-o**2 - 6*o**2 + 5*o**2)*(o - 4*o + 5*o). -19*o**3 Expand (-2 - 4 + 5)*(10*n - 21*n - 22*n). 33*n Expand (2*w + 5 - 5)*(4*w + 84 - 84). 8*w**2 Expand 2*c - 2*c - 2*c + 0*c - c - 4*c + (-2 - 2 + 2)*(c + 3 - 3) + 2*c + 0*c - 3*c + 0*c - 3*c + 0*c. -13*c Expand (-3 - 3 + 4)*(6*b**2 + 2*b**3 + 1 - 5*b**3 - 8*b**2). 6*b**3 + 4*b**2 - 2 Expand (-2 + t + 2)*(-2 + 1 + 6*t - 3*t). 3*t**2 - t Expand (3 - 2 + 1)*(4 + 0 - 6)*(-d + 4*d - 6*d). 12*d Expand (-4*i + 3*i + 0*i)*(2*i**2 - 3*i**2 + 2*i**2)*(2*i + 2 - 2). -2*i**4 Expand -1 + a**3 + 1 + (a**2 - 2*a + 2*a + (7 - 3 - 3)*(-2 - 3*a**2 + 2))*(a - 2*a + 0*a). 3*a**3 Expand -p**4 - 5*p**4 + 4*p**4 + (3 - 3 + p**2)*(9*p**2 + 18 - 18). 7*p**4 Expand (2*p - 4*p + p)*(p + 0*p - 3*p)*(12 - 19*p - 3 - 8). -38*p**3 + 2*p**2 Expand (-19 - 2*k + 19)*(-1 + 2*k + 1) - 5*k**2 + k**2 + 5*k**2 + (k + 1 - 1)*(1 - 1 + 2*k) + 2*k**2 - 2 + 2. k**2 Expand (4 - 5 + 4)*(0 - 3 + 1)*(4*l - 4*l + l). -6*l Expand (-6*w + 15*w + 20 - 11*w)*(-3 + 2*w + 3). -4*w**2 + 40*w Expand (2*p**2 - 2*p**3 - 2*p**2)*(-5*p + 3*p + 4*p) + 127*p**4 + 2506*p - 2506*p. 123*p**4 Expand 7*z - 4*z + 0*z - 3*z + 0*z + 5*z + (-2*z - z + z)*(-1 - 2 + 2) + 5*z - z - z. 10*z Expand (6*s**3 - 4*s**3 - s**3)*(4*s - 4*s - s) + 2 + s**4 - 2 + 0*s**4 - 3*s**4 + 0*s**4 + (-3*s**2 - s**2 + 5*s**2)*(-4*s + s**2 + 4*s). -2*s**4 Expand -2*o**5 + 3*o**5 - 2*o**5 - o**5 + 2*o**5 - 3*o**5 + (2*o**4 + o**4 - 5*o**4)*(-o - 2*o + 5*o) + (0*o**3 + 0*o**3 + 2*o**3)*(-2 + 2 - o**2). -9*o**5 Expand (0*n + 0*n - n + 2 - n - 2 + (3*n - 2*n - 3*n)*(6 - 1 - 3) - 3 + 3 - 2*n + n - 2*n - n)*(-2 - n + 2). 10*n**2 Expand 0*x + 0*x - x + (-1 + 2 + 0)*(0*x - x - x) - 5*x + 3*x + 6*x + x - 2*x - x - 3*x + 3*x + 2*x. x Expand (-28 - j + 12 + 3*j)*(j**4 - j**4 - 2*j**4). -
{ "pile_set_name": "DM Mathematics" }
re there between 10:29 AM and 9:39 PM? 670 How many minutes are there between 2:44 AM and 11:08 AM? 504 How many minutes are there between 5:42 PM and 10:02 PM? 260 What is 665 minutes after 6:38 AM? 5:43 PM What is 304 minutes before 5:22 AM? 12:18 AM How many minutes are there between 12:18 AM and 3:19 AM? 181 How many minutes are there between 3:37 PM and 9:08 PM? 331 How many minutes are there between 10:01 PM and 10:15 PM? 14 What is 327 minutes before 3:59 PM? 10:32 AM How many minutes are there between 4:11 PM and 6:47 PM? 156 What is 458 minutes after 2:46 PM? 10:24 PM How many minutes are there between 5:33 AM and 10:42 AM? 309 How many minutes are there between 12:23 AM and 9:15 AM? 532 How many minutes are there between 4:28 PM and 1:41 AM? 553 How many minutes are there between 1:33 PM and 9:33 PM? 480 How many minutes are there between 9:14 PM and 2:45 AM? 331 How many minutes are there between 5:48 AM and 1:36 PM? 468 How many minutes are there between 4:06 PM and 5:05 PM? 59 How many minutes are there between 9:19 PM and 8:35 AM? 676 How many minutes are there between 3:45 PM and 10:27 PM? 402 What is 660 minutes before 2:10 PM? 3:10 AM How many minutes are there between 10:23 AM and 7:55 PM? 572 How many minutes are there between 3:01 PM and 3:36 PM? 35 What is 321 minutes before 6:33 AM? 1:12 AM How many minutes are there between 8:51 PM and 1:54 AM? 303 How many minutes are there between 4:52 AM and 6:36 AM? 104 How many minutes are there between 7:54 PM and 10:09 PM? 135 What is 255 minutes before 5:47 PM? 1:32 PM What is 446 minutes after 2:53 AM? 10:19 AM What is 149 minutes after 3:02 AM? 5:31 AM How many minutes are there between 8:10 AM and 12:24 PM? 254 What is 546 minutes after 3:12 PM? 12:18 AM What is 677 minutes after 1:15 PM? 12:32 AM What is 317 minutes after 7:55 PM? 1:12 AM How many minutes are there between 12:29 PM and 8:03 PM? 454 What is 591 minutes after 9:38 PM? 7:29 AM How many minutes are there between 4:51 PM and 6:07 PM? 76 How many minutes are there between 5:05 PM and 12:03 AM? 418 How many minutes are there between 6:41 PM and 6:12 AM? 691 What is 543 minutes after 11:15 AM? 8:18 PM What is 557 minutes before 4:56 PM? 7:39 AM How many minutes are there between 12:06 AM and 12:18 AM? 12 How many minutes are there between 8:43 AM and 2:55 PM? 372 What is 69 minutes after 9:00 PM? 10:09 PM How many minutes are there between 3:42 AM and 12:37 PM? 535 What is 236 minutes after 11:55 PM? 3:51 AM What is 107 minutes after 3:32 AM? 5:19 AM How many minutes are there between 9:05 AM and 2:49 PM? 344 What is 675 minutes after 3:43 AM? 2:58 PM How many minutes are there between 4:25 PM and 3:29 AM? 664 What is 366 minutes after 6:10 AM? 12:16 PM How many minutes are there between 5:17 AM and 5:19 AM? 2 What is 532 minutes before 6:06 AM? 9:14 PM How many minutes are there between 4:33 PM and 9:53 PM? 320 How many minutes are there between 6:27 AM and 12:20 PM? 353 What is 249 minutes before 3:39 PM? 11:30 AM How many minutes are there between 1:06 AM and 6:19 AM? 313 What is 156 minutes before 5:55 AM? 3:19 AM How many minutes are there between 9:52 PM and 11:23 PM? 91 How many minutes are there between 4:59 AM and 6:54 AM? 115 How many minutes are there between 10:42 PM and 3:07 AM? 265 How many minutes are there between 12:13 PM and 10:12 PM? 599 What is 432 minutes before 11:08 AM? 3:56 AM What is 558 minutes before 6:38 PM? 9:20 AM How many minutes are there between 6:57 AM and 4:10 PM? 553 What is 634 minutes before 2:42 AM? 4:08 PM What is 560 minutes after 2:57 PM? 12:17 AM What is 423 minutes after 11:27 PM? 6:30 AM What is 82 minutes before 6:25 PM? 5:03 PM What is 315 minutes before 7:55 PM? 2:40 PM What is 488 minutes after 11:40 AM? 7:48 PM How many minutes are there between 8:28 AM and 11:21 AM? 173 What is 373 minutes after 3:49 AM? 10:02 AM How many minutes are there between 10:07 AM and 9:38 PM? 691 How many minutes are there between 1:56 PM and 1:06 AM? 670 How many minutes are there between 10:19 PM and 2:15 AM? 236 What is 202 minutes before 3:10 PM? 11:48 AM How many minutes are there between 6:33 PM and 11:25 PM? 292 How many minutes are there between 9:40 PM and 9:42 PM? 2 What is 388 minutes before 10:45 PM? 4:17 PM What is 123 minutes after 2:33 PM? 4:36 PM How many minutes are there between 8:35 AM and 6:55 PM? 620 What is 691 minutes before 7:57 PM? 8:26 AM What is 448 minutes after 7:07 PM? 2:35 AM What is 141 minutes after 10:19 PM? 12:40 AM How many minutes are there between 11:30 PM and 3:30 AM? 240 How many minutes are there between 4:04 PM and 8:08 PM? 244 How many minutes are there between 3:03 PM and 6:08 PM? 185 What is 48 minutes before 11:02 PM? 10:14 PM What is 710 minutes before 1:47 AM? 1:57 PM What is 546 minutes after 2:13 AM? 11:19 AM What is 89 minutes after 2:07 PM? 3:36 PM How many minutes are there between 6:50 PM and 4:08 AM? 558 How many minutes are there between 12:04 AM and 4:43 AM? 279 What is 587 minutes after 8:45 PM? 6:32 AM How many minutes are there between 3:59 AM and 1:37 PM? 578 What is 394 minutes after 4:27 PM? 11:01 PM How many minutes are there between 10:00 PM and 9:21 AM? 681 How many minutes are there between 2:25 AM and 10:19 AM? 474 How many minutes are there between 6:25 AM and 4:35 PM? 610 How many minutes are there between 8:44 PM and 5:53 AM? 549 How many minutes are there between 1:20 PM and 11:29 PM? 609 How many minutes are there between 8:17 AM and 8:05 PM? 708 What is 546 minutes after 5:29 AM? 2:35 PM How many minutes are there between 1:43 PM and 9:22 PM? 459 How many minutes are there between 4:04 AM and 12:12 PM? 488 What is 634 minutes after 8:11 PM? 6:45 AM How many minutes are there between 5:20 AM and 4:42 PM? 682 What is 657 minutes before 2:32 AM? 3:35 PM How many minutes are there between 12:36 PM and 11:33 PM? 657 How many minutes are there between 4:56 AM and 6:56 AM? 120 How many minutes are there between 12:10 PM and 6:37 PM? 387 How many minutes are there between 8:32 AM and 6:31 PM? 599 How many minutes are there between 3:34 PM and 9:33 PM? 359 What is 254 minutes after 8:43 AM? 12:57 PM How many minutes are there between 5:34 AM and 8:30 AM? 176 How many minutes are there between 8:49 PM and 1:19 AM? 270 How many minutes are there between 3:03 AM and 1:27 PM? 624 What is 466 minutes before 2:05 PM? 6:19 AM How many minutes are there between 3:12 AM and 5:45 AM? 153 How many minutes are there between 3:09 PM and 12:27 AM? 558 How many minutes are there between 5:54 PM and 5:14 AM? 680 What is 581 minutes after 12:44 AM? 10:25 AM What is 103 minutes before 10:43 PM? 9:00 PM What is 591 minutes before 6:39 AM? 8:48 PM What is 209 minutes after 2:07 AM? 5:36 AM What is 117 minutes before 5:55 PM? 3:58 PM How many minutes are there between 4:14 AM and 5:14 AM? 60 What is 679 minutes after 5:38 PM? 4:57 AM How many minutes are there between 7:33 PM and 1:28 AM? 355 How many minutes are there between 9:25 PM and 6:53 AM? 568 What is 664 minutes before 6:29 AM? 7:25 PM How many minutes are there between 11:53 PM and 9:25 AM? 572 What is 59 minutes before 10:35 AM? 9:36 AM What is 578 minutes after 2:56 AM? 12:34 PM What is 202 minutes after 12:11 AM? 3:33 AM How many minutes are there between 1:14 AM and 3:21 AM? 127 How many minutes are there between 7:53 AM and 11:56 AM? 243 How many minutes are there between 8:37 PM and 4:48 AM? 491 What is 345 minutes after 4:40 AM? 10:25 AM What is 173 minutes before 4:56 PM? 2:03 PM How many minutes are there between 6:19 PM and 6:59 PM? 40 How many minutes are there between 12:26 AM and 5:26 AM? 300 What is 398 minutes before 3:27 PM? 8:49 AM How many minutes are there between 8:04 PM and 9:54 PM? 110 How many minutes are there between 3:39 AM and 12:02 PM? 503 What is 156 minutes before 9:38 PM? 7:02 PM What is 341 minutes after 5:34 PM? 11:15 PM What is 400 minutes after 2:56 PM? 9:36 PM What is 325 minutes before 1:10 PM? 7:45 AM What is 274 minutes after 9:31 PM? 2:05 AM How many minutes are there between 4:11 PM and 1:57 AM? 586 What is 315 minutes before 7:43 PM? 2:28 PM What is 578 minutes after 11:15 AM? 8:53 PM How many minutes are there between 1:48 PM and 2:38 PM? 5
{ "pile_set_name": "DM Mathematics" }
- 2*h - 0*h + 302. What is the tens digit of l? 7 Let w(o) = 2*o + 50. Let l be w(-23). Let d be (-4252)/(-18) - (-16)/(-72). Suppose l*h = 8*h - d. What is the tens digit of h? 5 Suppose 3624 = 79*a - 76*a. What is the hundreds digit of a? 2 Let r = 14 - 12. Let k be (11/2 - -2)*8/6. What is the tens digit of (16 - k)/(r/21)? 6 What is the tens digit of (-1 + 1 - 1)*(-1 + -192)? 9 Suppose 0 = -2*p + 5*i + 12, -4*p + 2*i + 24 = i. Suppose 651 = p*y + y. What is the tens digit of y? 9 Suppose 5*h - h = -1024. Let a = -42 - h. What is the tens digit of a? 1 Suppose -3*y + 3 = y + 3*a, 2*y + 3*a - 3 = 0. Suppose 4*z - 4 = -4*u, -3*z + 2*z = y. What is the units digit of u? 1 Suppose 3*y = 7*y. Let c be -2 + 3 - (-5 + y). Suppose 0 = -f - 2*f + c. What is the units digit of f? 2 Suppose -330 = -6*m + 948. Suppose -5*q = 3*b - m - 318, -4*b - 4*q = -700. What is the tens digit of b? 7 Let r(g) = -17*g - 67. What is the units digit of r(-15)? 8 Let d(h) = 35*h**2 - 14*h + 61. What is the thousands digit of d(7)? 1 Let u = 1 - -1. Suppose -5*k - u*m = 3*m, 4*m = 5*k - 36. Suppose -8 = k*l - 152. What is the tens digit of l? 3 Suppose -5*j = 3*x - 367, j - 4*x - 226 = -2*j. Suppose -4*c + 222 = j. What is the tens digit of c? 3 Let t = 457 + -19. What is the hundreds digit of t? 4 Let q(o) = 275*o - 4. Let b be q(1). Suppose 12*n + b = 1711. What is the units digit of n? 0 Let r be 3 + (3 - 1)/2. Suppose -r*c - 2*t = -34, 5*c + 2*t - t = 50. Let q = c - 6. What is the units digit of q? 5 Suppose 0 = -13*x + 14*x - 418. Suppose 4*c + 2*s - 836 = 6*s, 0 = -2*c - 5*s + x. What is the tens digit of c? 0 Let z(j) = -18*j + j**3 + 29 + 9*j - 9*j**2 - 21 - 12*j. What is the units digit of z(11)? 9 Let v = 126 + 204. Suppose -v = 58*s - 61*s. What is the units digit of s? 0 Let l be 17 + (-1 - -1) + -1. Let t(a) = 2*a**3 + a**2 + a - 2. Let k be t(1). Suppose 4*j - l = -4*v, v + k - 10 = -3*j. What is the units digit of v? 2 Suppose -2*d - 5 = -31. Let u(c) = 1 + d*c - 22*c + 7*c + 23*c**2. What is the units digit of u(1)? 2 Let u be 18*40/(-35)*(-7)/3. Let n = -31 + u. What is the tens digit of n? 1 What is the tens digit of 755 - ((-2)/2 - -7) - 5? 4 Let q be -4 + 16/2 - 1. Suppose q*l + 124 = 5*h + 6*l, 12 = 4*l. What is the tens digit of h? 2 Let h(o) be the third derivative of -o**6/120 + o**5/5 - 5*o**4/12 + 4*o**3/3 - 6*o**2. Let l be h(11). Let n = 5 + l. What is the tens digit of n? 2 Suppose -26*b = -52*b + 7228. What is the tens digit of b? 7 Let d(b) = 4*b**2 + 12. What is the tens digit of d(7)? 0 Let o = 4584 - -1913. What is the thousands digit of o? 6 Let u(n) = n**2 - n - 4. Let q(g) = 2*g - 17. Let l be q(7). Let s be 1 + (-4 - l)*6. What is the tens digit of u(s)? 2 Let a(d) = d - 19. Let y be a(18). What is the tens digit of ((-3)/y)/(21/707)? 0 Let c be -34 + 2/(-2) - (-120)/(-40). Let r = c + 186. What is the tens digit of r? 4 Let q = -11 - -11. Suppose -5*r = -3*p + 142, 0 = p - q*p - 4*r - 52. Suppose 5*b = 6*b - p. What is the tens digit of b? 4 Suppose 0 = -64*h + 28*h + 16596. What is the tens digit of h? 6 Let v = 645 - -954. What is the hundreds digit of v? 5 Let f be 0/(-3)*((-26)/(-6) - 4). Suppose 7*y - 3*y - 84 = f. What is the tens digit of y? 2 Let w(d) = -3*d**2 + 14*d + 3. Let r be w(6). Let b = 2 - r. What is the tens digit of b? 2 Suppose -4*n - 5*k = -6*n, -5*k - 10 = -4*n. Suppose n*u = 122 + 588. What is the units digit of u? 2 Let k = 1289 + -577. What is the hundreds digit of k? 7 Let a = 379 - 203. Suppose -y + 59 = 5*o - 4*o, -3*o + a = 4*y. What is the tens digit of o? 6 Suppose -189*f - 12600 = -199*f. What is the units digit of f? 0 Let t(d) = -d + 25. Let n = 10 + -10. Suppose 4*k + n*k = 0. What is the tens digit of t(k)? 2 Let d be (40/24)/(15/18). Let o be d - -697 - (-5 + 2). What is the units digit of o/30 + 3/5? 4 Suppose -19*a = -2*r - 16*a + 665, 3*a = 15. What is the hundreds digit of r? 3 Let s be 2/7 - 2160/63. Let u = 18 - s. What is the units digit of u? 2 Suppose 161*f - 186*f = -54925. What is the tens digit of f? 9 Suppose -9*k = -5*k - 280. Suppose k = v - 4*c, 5*c - 240 = -5*v + 3*c. What is the tens digit of v? 5 Suppose -50*r + 46*r + 728 = 0. Let w = -61 + r. What is the hundreds digit of w? 1 Let b = -74 + 253. What is the units digit of b? 9 What is the hundreds digit of 440 - ((-180)/50 + 6/(-15))? 4 Suppose -2*s = 3*q + 28, s + 36 = -0*q + 4*q. Let o = -20 - s. Suppose 42 = -3*n - p + 170, 4*n + 5*p - 189 = o. What is the tens digit of n? 4 Let n(i) = -9*i + 17. Let v(s) = -18*s + 33. Let g(t) = -5*n(t) + 3*v(t). What is the tens digit of g(-6)? 6 Suppose -50*g + 3415 = -45*g. What is the units digit of g? 3 What is the units digit of (-4 + (-2070)/(-5))/((-2)/(-17))? 5 Suppose 9*v - 10*v = -209. Let j = v - 112. What is the tens digit of j? 9 Suppose 0 = -2*l + 23 - 3. Suppose -l*o + 7*o - 81 = 0. What is the units digit of ((-6)/4)/(o/342)? 9 Let a(b) = -59*b - 606. What is the hundreds digit of a(-44)? 9 Let v(j) = 5*j**2 + 11*j + 6. Let t be v(-10). Suppose 5*u + 2*f - t = 0, 2*u - 2*f - 88 = 62. What is the tens digit of u? 7 Suppose 4*x - x = 12. Suppose 5*u = x*u + 231. What is the units digit of u? 1 Let j = -17 - -45. Suppose j = -3*m + m. What is the tens digit of (-234)/m - (-4)/14? 1 Let u(y) = -6*y**2 - 3*y - 1. Let m be u(-2). Let f = 23 + m. What is the tens digit of 2 + 128/f - -2? 3 Suppose -5*a - 3*j = -507, 2*a = -j - j + 206. What is the units digit of a? 9 Let l(a) = a + 17. Let b be l(4). Let n = 55 + b. What is the units digit of n? 6 Let n = 560 + -156. What is the units digit of n? 4 Let m(k) = -k**2 + 16*k. Let q be (11 - 1) + -3 + -1. Let u(h) = -h**3 + 7*h**2 - 4*h + 2. Let v be u(q). What is the units digit of m(v)? 8 Suppose g + 23 = 3*h, 68 = -4*g - 0*h + 4*h. Let x be ((-7)/g)/((-2)/4). What is the units digit of (x + -1)*25/(-2)? 5 Suppose 5*f = 2*k + 9406, 3768 = 2*f + 7*k - 5*k. What is the tens digit of f? 8 Let b = -418 - -1202. Suppose -8*a + a + b = 0. What is the tens digit of a? 1 Let u be 15/2*(-24)/(-20). Let m = u - 12. What is the units digit of m + 3 + 14/1? 4 Let o(l) = l**2 + 15*l + 15. Let y be o(-14). Let a be (2 - 0)*(2 + y). Suppose 0 = h - 5*u - 29, 0 = 2*h - a*h - 2*u + 138. What is the tens digit of h? 3 Let q be (-45)/(-10)*(-8)/6. Let n be (-8 - -2)/(q/4). Suppose n*m - 6 - 78 = 0. What is the tens digit of m? 2 Let x(i) = -2*i - 4. Let r be x(-3). Suppose r*m + 0*m - 8 = 0. Suppose -3*v + 34 - m = 0. What is the tens digit of v? 1 Let p(l) = -7*l - 18. Let q be p(-6). Suppose 0*i + i = q. Let j = 27 - i. What is the units digit of j? 3 Let p = -499 - -1009. What is the tens digit of p? 1 Suppose 5*j - 570 = -3*v, -3*v + 6*v = 15. Let k = j - 6. What is the units digit of k? 5 Let r = -6845 - -9618. What is the units digit of r? 3 Let l(x) = -x**3 - 12*x**2 - 10*x + 5. Let q be l(-11). Let a be (-2)/(5/((-195)/q)). Let s = -7 - a. What is the units digit of s? 6 Let x(l) = 44*l + 199. What is the tens digit of x(16)? 0 Let x = -2745 + 5417. What is the thousands digit of x? 2 Suppose 242*x = 233*x + 13158. What is the units digit of x? 2 Suppose 2*z = 7*z - 185. Suppose 113 = o - z. What is the hundreds digit of o? 1 Let u(z) be the first derivative of -2*z**3/3 - 2*z**2 - 2*z + 6. Let j be u(-2). What is the units digit of ((-24)/4 + 2)*j? 8 Suppose 5*v = -78 + 88. Let r(m) = m + 1. Let b be r(2). Suppose v*f - 3*p = 10, b*f + p - 5 = 2*f. What is the units digit of f? 5 Let p(l) = l**3 - 10*l**2 + 16*l + 7. Let q be p(9). Let r = q + -2. What is the units digit of r? 8 Suppose 573 + 192 = -5*j. Let v = j + 391. What is the tens digit of v? 3 Suppose 0*j + 1 = 3*j + 5*f, 3*j - 13 = -2*f. Let t(d) = -d**2 + 18*d + 12. Let p be t(15). Let k = j + p. What is the tens digit of k? 6 Suppose 26 = 5*t - 24. Let j = t - 23. What is the tens digit of (-7)/(-2)*(1 - j)? 4 Let o = -3 - -7. Let a(r) = 2*r**3 - 5*r**2 - r. What is the tens digit of a(o)? 4 Let j = -20 + 15. Let g(x) = -x**3 + 9*x + 9. What is the tens digit of g(j)? 8 Let x = -16 + 26. Let z be x*3/(-6)*-10. Suppose 3*f - 25 - z = 0. What is the tens digit of f? 2 Let x = 110 - 106. Suppose 0 = x*d - 14 - 154. What is the tens digit of d? 4 Suppose -5*y + 80 = 5*h, 2*
{ "pile_set_name": "DM Mathematics" }
ve b. 25132 Express (-1 - 1 + 0)*(0 + 70*t - 1 + 86*t)*(0 + 0 + 2)*(1 - 4 + 5)*(4 - 2 + 0)*(t + 0*t + t) as d*t**2 + i*t + y and give i. 32 Express 6*q**2 + 16944*q**4 + 30*q**3 + 16940*q**4 + 16936*q**4 + 2 - 50819*q**4 as u*q**2 + a + r*q**4 + w*q**3 + o*q and give a. 2 Rearrange 149*o**3 - 185*o - 88*o**3 - 7*o**2 + 4*o**4 - 5*o**4 - 62*o**3 to n*o**3 + d*o**2 + w + u*o**4 + c*o and give u. -1 Express -u**4 + 989*u**2 + 0*u + 144 - 4786*u**2 + 2*u - 144 as r*u + s*u**3 + b + g*u**2 + q*u**4 and give g. -3797 Rearrange (2*u - 6*u + 2*u)*(4 - 1 - 1) - 3*u + u + 3*u + (-3 + 3 + 2)*(-2*u - 5 + 5 - 4*u + 12 - 12 + (-2 - 2 + 6)*(u + 0*u - 2*u)) to a*u + n and give a. -19 Rearrange 5 + 2*v + 58*v**2 + 91*v**2 - 135*v**2 - 3*v**3 to t*v**3 + h*v**2 + a*v + i and give t. -3 Express 3819*u + 3542*u + 12 - 6978*u + 4*u - u - u - u - 2*u + 2*u + (2*u + 0 + 0)*(4 - 2 + 0) + u - 3 + 3 in the form q + h*u and give h. 389 Express (-870 - 35*t + 1748 - 866)*(t + 4*t - 4*t)*(-t - 2*t + 4*t) in the form v*t + k*t**2 + d + p*t**3 and give p. -35 Express -5*f - 185935 - 186306 + 371001 as l + c*f and give c. -5 Express (-3*y**3 + 4*y**3 - 5*y**3)*(-1 + 1 + y) + (-31*y**4 - 111 + 111)*(0 - 2 + 0) in the form k*y + o*y**3 + w*y**4 + d + b*y**2 and give w. 58 Rearrange -3*z - 5*z + 2*z + (-3 - 2 + 4)*(301*z + 244*z + 42*z) to w*z + c and give w. -593 Express -2*j**3 + 13*j**2 - j**3 + 140*j - 7*j**2 - 18*j**4 - 5*j**2 - 127*j as f*j + h + r*j**3 + z*j**2 + a*j**4 and give a. -18 Express 1223 + 9*d**2 + 11*d**2 - 21*d**2 + 29*d**3 - 1389 as u*d**3 + c*d + v*d**2 + y and give u. 29 Express 2 - 52*x**4 - x**3 + 100*x**4 - 46*x**4 + 1849*x + 2*x**2 - 1780*x as a*x**4 + i*x**3 + n*x**2 + u*x + o and give o. 2 Rearrange -131 - 3*n**4 + 58*n**3 - 53*n**3 + 2*n + 126 + 2*n**2 to o*n**3 + w + k*n + m*n**4 + r*n**2 and give m. -3 Express (24 + 84 + 126 + 116)*(3 - 3 + 1)*(-2*m**2 + 0*m**2 + 7*m**2) as b + l*m**2 + r*m and give l. 1750 Rearrange 193*z**2 - 105*z**2 + 111*z**2 + 278*z**2 - 2*z + 214*z**2 to l + a*z + k*z**2 and give a. -2 Rearrange (-106 + 70 + 83)*(-1 - 1 - 2)*(1 - 1 - 2)*(-5*j - 2*j + 12*j) to k + v*j and give v. 1880 Express -78*j + 290*j - j**4 + 260*j + 93*j + j**2 + 16*j as c*j**2 + g*j**4 + x + q*j + i*j**3 and give c. 1 Express -214*p + 431*p + 289*p**2 - 3408*p**2 - 217*p as h*p**2 + i + t*p and give h. -3119 Express 1636*a**4 - 91651*a + 91651*a + 6*a**2 + 4*a**4 - 6*a**2 + (a**2 - 3*a + 3*a)*(2 - a**2 - 2) as y*a + k*a**2 + z*a**3 + n*a**4 + r and give n. 1639 Rearrange (-4*p**2 + 2*p**3 + 4*p**2)*(21748*p - 41574*p + 21257*p) to b*p**2 + o + j*p + y*p**4 + x*p**3 and give y. 2862 Rearrange 551 + s - 1188*s**2 - 3*s**4 - 562 + 1200*s**2 to the form j*s + w*s**3 + o + t*s**2 + a*s**4 and give j. 1 Rearrange 149*f**2 - 2 - 143*f**2 + 2 - 2 + 5 to the form u*f + a + w*f**2 and give w. 6 Rearrange 13784211 + 611*q**2 - 13784210 + 7*q + 628*q**2 to r + y*q + x*q**2 and give x. 1239 Rearrange (5*u + 2*u - 4*u)*(13 - 36 + 9)*(-2 + 2 - 4) to d*u + h and give d. 168 Express (y**2 - 9 + 9)*(9*y + 54 - 3*y - 62) in the form x*y**3 + b*y**2 + m*y + w and give x. 6 Rearrange -83*l**2 - 938*l**2 - 1 - 1145*l**2 - l to a + x*l**2 + s*l and give x. -2166 Rearrange (0 - 9 + 1)*((-4*n**3 - 4 + 4)*(4 - 1 + 15) + 0*n**3 - n**3 - 2*n**3 + (2*n + n**3 - 2*n)*(-3 + 1 + 3)) to d*n**2 + i*n**3 + w + k*n and give w. 0 Rearrange 8483*l - 25454*l + 8482*l - 461*l**2 + 8491*l + 3*l**3 to the form v*l**3 + w*l**2 + z + n*l and give w. -461 Rearrange 3143*a + 4356*a - 409*a - 1256*a + 2697*a to z + h*a and give h. 8531 Express 88*o**3 - 4509*o + 4509*o + (-o + 2*o - 3*o)*(3*o**2 - 6*o**2 + 6*o**2) in the form g*o**2 + u + f*o**3 + p*o and give f. 82 Rearrange (-4*m - m + 4*m)*(2231 + 70*m - 2231) + 0 + 0 - m**2 to p*m + y*m**2 + b and give y. -71 Express -4*f**2 - 1658*f**4 - 1605*f**4 + 3299*f**4 + 11 + 2*f + 4*f**2 in the form x*f**3 + m*f**4 + a + k*f + j*f**2 and give k. 2 Rearrange -2*j + 14*j**2 + 759 - 761 + 8*j**3 - 3*j**2 to x*j + g*j**3 + a*j**2 + h and give g. 8 Express -1 + 49*n + 31*n + 30*n - 96*n + 4*n**3 - 2*n**2 + 3*n**4 as q*n + u*n**4 + i*n**2 + x + j*n**3 and give q. 14 Rearrange -9 + 15 - j + j**3 + 6 - 10 - 5*j**2 - 7*j**2 to the form x + o*j + g*j**3 + r*j**2 and give r. -12 Rearrange 316*q - 4 + 110*q - 425*q + 1584*q**2 to o + j*q**2 + f*q and give o. -4 Express -10*a - a + 86 - 57 - 44 as j*a + v and give v. -15 Rearrange (2*a + 0*a - 3*a - a**2)*(-8 - 9 - 16*a - 3*a**2 + 16) to m*a**4 + q*a**2 + o + n*a + f*a**3 and give m. 3 Express -7321*r**2 + 7315*r**2 - 650*r + 520*r in the form h + k*r + u*r**2 and give u. -6 Express 28*g**2 + 38*g + 83 - 10*g**2 - 37*g + 13*g**2 in the form d*g**2 + o*g + u and give o. 1 Rearrange v - 3*v**2 - 8*v**3 + 119 + 4*v**2 + 94*v**3 - 98*v**3 to the form g*v**3 + a*v**2 + k*v + m and give k. 1 Express (-4*x + 0*x + x)*(-46*x**2 + 25*x**2 + 23*x**2) + (1 + 4*x - 1)*(3*x**2 + 8*x**2 + 2*x**2) in the form m*x**3 + d*x + z*x**2 + p and give m. 46 Rearrange 12*d**2 + 133286*d + 6*d**2 - 66642*d - 66631*d to w*d + m*d**2 + h and give m. 18 Express 4704 - 4704 - 473*r + (-r - 3 - 11 - 3)*(0 + 3 - 5) as a*r + s and give a. -471 Rearrange -2342*p**2 + 3420*p**2 + 7334*p**2 to r + j*p**2 + a*p and give j. 8412 Rearrange -908*h**4 + 1777*h**4 - 867*h**4 + 1 + h**2 - 8*h - 40*h**3 to the form v*h**2 + s + o*h**4 + u*h**3 + m*h and give u. -40 Express (-3*f**2 + 0*f**2 + 4*f**2)*(2 - 2 + 1) + (-2588*f - 149*f - 853*f)*(2 - 3*f - 2) as y + u*f**2 + i*f and give u. 10771 Express 65*c + 4*c**3 - 56*c - 184*c - 392*c**4 + 779*c**4 + 4*c**2 - 389*c**4 in the form p*c**2 + f*c**3 + b*c + l*c**4 + a and give b. -175 Rearrange (-l**2 + 2*l**2 + l**2)*(-76757*l - 129135*l + 21921*l + 242674062 - 242674062) to the form k*l**3 + x*l**2 + t + u*l and give k. -367942 Express -20 - 26 - 14*k + 1 - 9*k + 8 in the form o + r*k and give o. -37 Rearrange (-3934 + 757 - s - 574)*(-2 + 3 + 2) to the form p*s + o and give p. -3 Express 81*n**2 + 5 + 158*n - 392*n - 19*n**2 + 228*n as u*n**2 + l + h*n and give u. 62 Express -31*q + 25*q + 37*q + 5*q - 3*q - 3*q + (0 - 2 + 3)*(5 - q - 5) + 952*q + 1062*q - 2095*q - 2*q + 7*q - 4*q as x + y*q and give y. -51 Express -2*o**2 - 2*o**3 - 2*o**3 - 522 - 13*o**3 + 527 - 5*o in the form t + g*o + b*o**2 + q*o**3 and give b. -2 Rearrange (1 + 0 - 2)*(2 - 3 + 2)*(j**2 + 3 - 3)*(4 - 44 + 6 - 95) to q*j + y*j**2 + a and give y. 129 Rearrange 3410*p + 4387*p - 1026*p - 570*p to n*p + z and give n. 6201 Rearrange 8*p + 15 - 15 + 1 - 1 - 2*p + (-4 + 4 - 1)*(-2*p + 3*p + 0*p) - 6*p + 3*p + 2*p + 2090*p + 2109*p - 4217*p + 184 to the form u + q*p and give u. 184 Express (0*y + y - 4*y)*(y - 2*y**3 - y) - 115 - 421 + 174*y**4 - 172*y**4 in the form u*y**2 + k*y + x + h*y**3 + w*y**4 and give w. 8 Rearrange 822*a + 816*a + 53 - 1639*a + 216 to the form k*a + x and give x. 269 Rearrange -26 - 148*f + 114 - 145*f - 144*f + 6*f**3 + 428*f to the form l*f + z*f**2 + d*f**3 + p and give p. 88 Express 907*l - 2325 + 1103 + 1230 as b + q*l and give b. 8 Express -60*d**2 - 187*d - 115*d - 36*d**3 + 302*d - 21*d**2 in the form u*d**2 + x*d**3 + m + z*d and give u. -81 Express (80*x**2 + 645*x**2 + 353*x**2 + (2 - 2 - 4)*(x**2 + 3*x**2 - 3*x**2))*(x - 4 + 4) as j*x + t*x**3 + m + p*x**2 and give t. 1074 Express -3677 - 3861*u + 3677 + 1083*u - 1010*u in the form a + s*u and give s. -3788 Express 4*g - 2*g**2 - 4*g + (-3*g + 0*g - g)*(5 - 5 + 5*g) + g**2 + 3*g**2 - 2*g**2 - 79*g**2 - 25*g**2 + 38*g**2 as z + q*g**2 + k*g and give q. -86 Rearrange (1085 - 2974 - 134 - 4735)*(3*w - 2*w - 2*w + (3 - 2 + 0)*(-4 - 2*w + 4)) to the form y*w + r and give y. 20274 Express -h**2 - 44*h**3 - 2 + 21*h**2 + 89*h**3 - 47*h**3 + 2*h**4 as j + i*h**4 + z*h + q*h**2 + g*h**3 and give z. 0 Rearrange 37*r**2 - 17*r**2 - 27*r**2 - 9*r**2 - 183 - 8*r**2 + 2*r to the form a*r**2 + t + d*r and give a. -24 Express 2*m**2 - 4*m**2 - 34493*m + 2*m**3 - 2 + 34792*m in the form t*m**2 + f + s*m**3 + i*m and give t. -2 Rearrange -3*g**3 + 7*g**3 + 14*g**3 + 2*g - 13*g**3 + 708*g**2 - 3*g to the form i + b*g + h*g**3 + t*g**2 and give h. 5 Express c - 4447 - 4450 + 18*c**3 + 8898 - 5*c**3 - 8*c**2 as b*c**2 + j*c + d*c**3 + k and give d. 13 Express 5 - 989*
{ "pile_set_name": "DM Mathematics" }
of 8/64*8/(-4)? -1/4 What is the value of ((-82)/861)/((-1)/28*-4)? -2/3 -3*140/126*(-3)/(-2) -5 What is 5/(-1)*(-1)/(-1)*1? -5 What is 5*(2/(-1))/2? -5 Evaluate ((-54)/(-45))/((-2)/(-5)). 3 What is (-15)/(-20)*5/(-60)? -1/16 Evaluate (-1)/((-9)/(360/(-10))). -4 2/(-14)*-77*1/11 1 Calculate 2*(4/(-4))/(-2). 1 Evaluate (-3)/(-10)*(-15)/(-3). 3/2 What is ((-132)/12)/44*12? -3 Evaluate 2/(32/3)*(-4)/(-1). 3/4 Calculate (-4*(-5)/(-140))/1*-5. 5/7 Calculate 64/48*4/((-40)/3). -2/5 What is ((-256)/384)/(2/(-24))? 8 ((-33)/165)/((-7)/((-7)/(-2))) 1/10 (6/((-84)/35))/(2/4) -5 1*3/(-6)*0 0 Evaluate 3*-1*12*(-8)/(-96). -3 Calculate (6/6)/(2/(-10)). -5 Calculate -3*4/(-30)*(-210)/(-63). 4/3 What is the value of ((4/3)/(-4))/(8/6)? -1/4 What is the value of (-9)/6*(50/3)/5? -5 What is the value of (((-10)/3)/5)/(2/9)? -3 What is 1*7/14*3/(-3)? -1/2 (-1)/(2/(-6))*(-21)/(-21) 3 (-5)/(-9)*3*(-6)/45 -2/9 (-48)/(-792)*12/(-4) -2/11 Calculate ((70/(-126))/(-5))/((-2)/(-6)). 1/3 Evaluate ((-5)/(-50)*0)/((-1)/(-1)). 0 What is (12/(-99))/(6/9*-1)? 2/11 Evaluate (-602)/215*20/(-14). 4 Calculate 3/((-8)/24*-9). 1 (((-20)/(-24))/(-5))/(1/(-3)) 1/2 Evaluate (-4*1/3)/((-72)/(-12)). -2/9 ((-5)/6)/((-28)/(-168)) -5 What is 231/(-33)*(-3)/(-3)? -7 7/(-2)*(-16)/(-8) -7 What is (0*7/(-42))/5? 0 (28/294)/(6/(-14)) -2/9 1/(3*6/(-27)*6) -1/4 Evaluate (-12)/70*(-400)/240. 2/7 2/(-12)*(-28)/21 2/9 -2*(2/(-1))/(100/(-15)) -3/5 Evaluate (((-84)/(-8))/7)/((-6)/(-4)). 1 What is -6*2/(-12)*16/72? 2/9 What is (-10)/(-5)*(-5)/(-2)? 5 What is the value of ((-8)/2)/((-13)/(13/(-2)))? -2 What is (428/(-1605))/((-4)/(-30)*3)? -2/3 Calculate (-9)/3*(-19)/(-95). -3/5 Evaluate (-13)/(117/(-6))*6/(-2). -2 Evaluate (-1*(-4)/(-2))/5. -2/5 What is ((-1)/6)/((42/18)/7)? -1/2 Evaluate (16/90)/(-2)*(-85)/34. 2/9 ((-18)/12)/(9/(-12)) 2 Calculate (3/(-2))/((-45)/120). 4 Evaluate ((-12)/(-117))/((-19)/((-228)/(-8))). -2/13 Evaluate (9/(-8))/(9/(-12)). 3/2 (42/(-294))/(3/9) -3/7 What is (-14)/(-6)*16/112? 1/3 (-9)/(-10)*1410/141 9 What is the value of ((-1)/(-2))/((5/1)/40)? 4 Evaluate ((-48)/(-20))/6*5/2. 1 What is the value of ((4/3)/((-11)/33))/1? -4 Calculate ((-4)/(-3))/((-30)/(-585)*13). 2 Evaluate ((3/(-2))/(-1))/(99/(-264)). -4 (9/(-36)*2)/((-4)/(-32)) -4 What is the value of (-2)/24*2*(-8)/(-1)? -4/3 58/(-696)*(-3)/1 1/4 What is ((-24)/(-42))/((-130)/(-91))? 2/5 Calculate -2*6/2*3/3. -6 What is the value of ((-3)/6)/((-8)/16)? 1 Evaluate -12*((-96)/12)/(-16). -6 ((-4)/((-48)/(-1)))/((-5)/(-8)) -2/15 Calculate -3*11/((-66)/4). 2 What is (-10)/4*20/(-125)? 2/5 Calculate ((-2)/5)/(24/(-300)). 5 ((-14)/(-7))/(10/(-45)*3) -3 What is -3*9/(81/6)? -2 Evaluate 2/(-6)*(-18)/(-3). -2 (((-210)/(-20))/(-7))/(3*-1) 1/2 (8/12*-3)/5*5 -2 What is the value of (-8)/((-112)/2)*2? 2/7 (9/(-15))/(69/(-46)) 2/5 (-28)/(-21)*(-3)/38 -2/19 Evaluate (-4)/(-24)*(-6)/30*-5. 1/6 What is the value of 3/24*-4*-6? 3 (15/(-50))/(((-36)/15)/(-2)) -1/4 (-10)/5*(-5)/(-45) -2/9 9/(-1)*(45/9)/5 -9 Evaluate -11*(-13)/(715/25). 5 What is the value of ((-4)/21)/(2/(-6)*-2)? -2/7 21/14*1*(-10)/3 -5 What is the value of (8*(-4)/(-40))/((-8)/60)? -6 What is 40/4*(-1)/(75/10)? -4/3 What is the value of ((-665)/133)/((-5)/7)? 7 What is (-2)/(-2)*-2*(-8)/(-48)? -1/3 What is the value of 2/(-6*10/180)? -6 (-20)/(-32)*1*(-28)/(-70) 1/4 Evaluate (-3)/(((-3)/(-7))/((-26)/(-455))). -2/5 What is the value of (-2)/(-5)*(-25)/(-95)? 2/19 -2*1*9/(-90) 1/5 Calculate ((-14)/91)/(-2)*1. 1/13 What is (1/2)/(4*18/(-48))? -1/3 ((-2)/(-2))/(7/35) 5 What is the value of (2/(-75))/((-1)/5)? 2/15 ((-2)/5)/(2/(2/2)) -1/5 What is the value of 15/(-25)*(20/18)/(-1)? 2/3 (12/(-45))/(8/(-60)*-5) -2/5 Evaluate (1/(-1))/(-1)*26/208. 1/8 Calculate (-2)/(-4)*2/(-1). -1 Calculate (-2*(-10)/(-50))/(2/10). -2 Calculate 24/(-4)*(-1)/(-9). -2/3 What is 112/(-14)*2/4? -4 Calculate (-20)/30*-4*1/(-12). -2/9 What is the value of (9/6*3/18)/(-1)? -1/4 What is the value of 3*4/(-16)*(-150)/(-135)? -5/6 Calculate 38/(-171)*9/12. -1/6 (-588)/245*(-10)/(-4) -6 Calculate 6/24*-14*8/(-7). 4 648/729*((-3)/4)/(-1) 2/3 5*(-8)/(-100)*-10 -4 5*3/((-15)/2) -2 Evaluate (256/(-224))/(10/(-7)*-1). -4/5 Calculate 1/2*4*81/54. 3 Calculate (10/(-8))/(395/(-237)). 3/4 What is the value of (6/(-40))/(81/72)? -2/15 What is the value of (8/(-42))/(498/581)? -2/9 ((-4)/6)/(-2)*4/(-2) -2/3 18/4*6*7/189 1 What is the value of (160/(-104))/((-4)/26)? 10 Calculate (2/(-2))/(((-12)/(-15))/(-4)). 5 Evaluate (13/(-455)*-20)/(4/42). 6 (-1)/4*(-69)/(-46) -3/8 Calculate 4*(10/80)/(22/(-24)). -6/11 Evaluate 2/(-1)*(-3)/(-39)*1. -2/13 What is (((-5)/3)/(-5))/((-2)/6)? -1 What is the value of (3*4/45)/((-6)/(-15))? 2/3 Evaluate ((-192)/24)/(3/3). -8 What is the value of ((-8)/14)/(30/35)*-3? 2 Calculate 1/(7/(-1)*(-11)/(-33)). -3/7 ((8/5)/(-2))/((-46)/23) 2/5 (-4)/20*1/((-3)/(-6)) -2/5 Evaluate (-12)/(-20)*((-10)/3)/(-5). 2/5 Calculate 111/185*1*(-4)/3. -4/5 What is -1*(6/((-9)/3))/(-2)? -1 What is the value of (-6)/7*14/3*-1? 4 Calculate 3*16/8*1. 6 Calculate (-2)/(-4)*6*2/(-3). -2 Calculate (18/(-54))/((-7)/(-6)). -2/7 Evaluate (70/(-175))/((-21)/(-5)). -2/21 Evaluate ((-62)/(-62))/((-1)/2). -2 What is the value of (-640)/1200*9/(-4)? 6/5 Calculate 8/25*19/(-76). -2/25 What is (-16)/10*(-4)/((-96)/(-2))? 2/15 Calculate ((-6)/276)/((-18)/(-12))*-6. 2/23 What is 9/(-12)*((-320)/(-12))/8? -5/2 Evaluate 2/15*2/(8/6). 1/5 Evaluate ((2/4)/(29/(-58)))/(-5). 1/5 Evaluate (2/(-6))/((-21)/21). 1/3 (-18)/(-8)*(-3)/(-27)*6 3/2 What is (-4)/(68/(-17))*(-2)/(-2)? 1 What is 4*(-2)/10*(-10)/(-4)? -2 What is (3/(-4))/(3/1)? -1/4 Calculate (0*3/(-15))/(-1). 0 Evaluate 4*(-2)/24*21. -7 Evaluate (-8)/(-18)*(-45)/120. -1/6 Calculate (-24)/16*5/((-15)/(-6)). -3 What is the value of ((-3)/5)/(297/(-165))? 1/3 Calculate 120/72*3/1. 5 Calculate (14/42)/((-12)/9)*0. 0 ((-12)/(-8))/((-39)/(-104)) 4 What is the value of 5/(-2)*(-20)/(-10)? -5 1*((-3)/4)/(30/16) -2/5 What is the value of (0/(4/2))/((-70)/(-35))? 0 Calculate (-52)/520*(-10)/(-8). -1/8 Evaluate (15/(225/(-24)))/((-36)/10). 4/9 What is the value of 3/(-54)*10*-3? 5/3 Calculate 2/1*(-4)/8*0. 0 What is the value of ((-18)/(-105))/((-18)/(-60))? 4/7 Calculate (6/2)/12*4/8. 1/8 (-4)/(-5)*(-6)/(60/25) -2 What is the value of (-6)/(-26)*(-4)/(-6)*-1? -2/13 Evaluate ((-3)/(12/16))/26. -2/13 What is (1/(20/15))/(42/(-16))? -2/7 What is (-1)/1*(-7)/((-28)/20)? -5 What is the value of (64/12)/2*2/8? 2/3 ((-5)/((-285)/(-38)))/(4/(-54)) 9 What is the value of ((-5)/30)/((-17)/102)? 1 Calculate (-32)/24*3*(-3)/(-36). -1/3 What is (-71)/(-71)*5/(-3)? -5/3 What is the value of (-6)/8*-1*(-7)/21? -1/4 What is (-32)/48*1*1/(-2)? 1/3 Evaluate 2*-1*105/42. -5 What is the value of ((-22)/55)/((4/10)/(-2))? 2 Calculate (-4)/(-40)*(-4)/(48/(-45)). 3/8 What is the value of 0/((2/3)/(44/(-66)))? 0 (10/(-3))/((-50)/(-75)) -5 What is the value of 1908/(-848)*(-8)/(-3)? -6 What is 5*7/(-35)*(-3)/5? 3/5 Evaluate (-26)/104*(-28)/(-1). -7 What is the value of -2*(-8)/12*9/(-15)? -4/5 (10/35)/((-3)/7) -2/3 -1*5*(18/(-9))/(-2) -5 What is (-16)/(-24)*(-12)/8*-4? 4 Evaluate 1/14*76/(-19). -2/7 Calculate (-4)/16*(27/6)/9. -1/8 What is (-8)/4*1/(81/(-18))? 4/9 Evaluate 10*(-8)/(-6)*63/168. 5 What is 18/2*(-130)/195? -6 What is (-9*(-1)/1)/((-36)/(-24))? 6 What is (((-81)/12)/9)/(54/16)? -2/9 Evaluate (-16)/(-14)*((-1008)/12)/(-12). 8 Evaluate (3/(-9))/((-17)/((-1785)/(-10))). 7/2 Evaluate (198/(-44))/(6*2/4). -3/2 ((-3)/2)/(234/24) -2/13 What is the value of ((48/(-6))/(-16))/((-2)/(-4))? 1 What is the value of 2*7/((-14)/4)? -4 Evaluate ((-9)/(-3))/(9/12*2). 2 (-4)/(-6)*6/2*-1 -2 What is the value of (14/(-84)*4)/((-14)/12)? 4/7 Calculate 42/231*6/2. 6/11 ((-4)/(-3))/((-20)/(-6)) 2/5 (-6)/15*(-15)/6 1 ((-56)/(-21))/((8/(-6))/(-2)) 4 Calculate -3*1*(-11)/11. 3 Calculate 1*15/10*8/6. 2 Evaluate (-18)/(-42)*2/((-1)/1). -6/7 (25/(-5))/(-5)*-4 -4 Calculate (((-84)/10)/(-7))/((-9)/(-30)). 4 What is ((-6)/20)/(-1)*(-32)/48? -1/5 -1*2*88/(-2112) 1/12 Evaluate (27/(-126)*-7)/(-6). -1/4 (10/(-15))/(2/(-9)) 3 What is (-16)/10*(-57)/152? 3/5 Calculate 3*6/((-90)/(-25)). 5 Calculate 10/(6/(18/6)). 5 Evaluate 12/18*(-2)/2*-3. 2 What is -12*9/(-24)*4/6? 3 What is (72/45)/((-30)/25)? -4/3 Evaluate (23/1311)/((-2)/12).
{ "pile_set_name": "DM Mathematics" }
n -192*b**3 - 81788578 + 81788578. -192*b**3 Collect the terms in -6501*j + 20149*j - 7170*j - 6473*j. 5*j Collect the terms in -403*s - 406*s - 403*s - 413*s + 1633*s. 8*s Collect the terms in -4322*z**3 - 4431*z**3 + 1 - 4316*z**3 + 13068*z**3 - 1. -z**3 Collect the terms in 33995*k**2 - 2*k + 66683*k**2 - 22509*k**2. 78169*k**2 - 2*k Collect the terms in 1209*h - 2119*h + 923*h. 13*h Collect the terms in -28*o**2 + 2717*o - 5528*o + 2814*o. -28*o**2 + 3*o Collect the terms in 67*u**3 + 21034873 - 10517466 - 10517406. 67*u**3 + 1 Collect the terms in -21*z**2 + 6*z + 57 + 81 - 3*z - 138. -21*z**2 + 3*z Collect the terms in 9*v - 6 - 10 + 16*v - 11 + 11*v + 25. 36*v - 2 Collect the terms in -37*g - 69596*g**2 + 126*g - 43*g - 46*g. -69596*g**2 Collect the terms in 463834722*a**3 - 463834737*a**3 + 6 - 6. -15*a**3 Collect the terms in -377*z**2 - 217548846 + 217548846 + 23*z**2. -354*z**2 Collect the terms in -29 + 2162*m**2 - 19 + 2*m + 52. 2162*m**2 + 2*m + 4 Collect the terms in -21298*w**2 + 20973*w**2 - 199 + 199. -325*w**2 Collect the terms in 289922*u**2 - 164383*u**2 - 125541*u**2. -2*u**2 Collect the terms in 66*z**3 - 50*z**3 + 392*z**3 - 399*z**3. 9*z**3 Collect the terms in 0*q - 5*q + 4*q + 3*q - 11*q + 5*q + 14. -4*q + 14 Collect the terms in 58*d**3 - 131*d**2 - 380*d**2 - 66*d**3 - 73*d**3. -81*d**3 - 511*d**2 Collect the terms in -9533*r**3 + 3253*r**3 - 8604*r**3 + 5384*r**3 - 10371*r**3. -19871*r**3 Collect the terms in -9*q**2 + 3048*q - 3044*q + 126*q**2. 117*q**2 + 4*q Collect the terms in 7224*y - 60583*y + 23209*y - 213905*y. -244055*y Collect the terms in 194541 - f + 193632 - 581712 + 193539. -f Collect the terms in 40*c**3 - 63*c**3 - 17*c + 19*c + 15*c + 24*c. -23*c**3 + 41*c Collect the terms in 44347572*f + 5 - 22173786*f + 0 - 5 - 22173789*f. -3*f Collect the terms in 1470*p - 854*p - 945*p + 19. -329*p + 19 Collect the terms in -2*a**2 + 2*a + 3*a**2 - 36*a**2 - 2*a + 80*a**2. 45*a**2 Collect the terms in -4565*w - 478*w + w**3 - 696*w + 2*w**3 - 4. 3*w**3 - 5739*w - 4 Collect the terms in -4442*g + 17602*g - 4438*g - 4400*g - 4316*g. 6*g Collect the terms in -8021*a + 8021*a - 25974*a**3. -25974*a**3 Collect the terms in 27*v**2 - 626*v - 443*v + 1094*v. 27*v**2 + 25*v Collect the terms in 2 - 1 - 5 - 492*l + 2571*l**2 + 0 + 491*l. 2571*l**2 - l - 4 Collect the terms in 1630*a + 8*a**2 - 3*a**2 - 2*a**2. 3*a**2 + 1630*a Collect the terms in g - 956 + 3612 - 2*g + 4*g - 2656. 3*g Collect the terms in -116597 + 116597 + 2427*u**2. 2427*u**2 Collect the terms in -23*k**2 + 23*k**2 + 36*k - 2*k**3 + 1 + 5 + 254*k. -2*k**3 + 290*k + 6 Collect the terms in -3482 + 66498*v + 6969 - 3487. 66498*v Collect the terms in 149 - 39*s**2 + 127 - 276 - 99*s**3. -99*s**3 - 39*s**2 Collect the terms in 501*k**2 + 443*k**2 - 1579*k**2 + 514*k**2. -121*k**2 Collect the terms in -92758*q + 176*q - 15487*q - 9908*q. -117977*q Collect the terms in 36*i - 827*i - 1102*i. -1893*i Collect the terms in 56707 - 28543 - 28164 + 7*a**2. 7*a**2 Collect the terms in -5*l**3 + 3*l**3 + 9*l**3 + 6*l**3 + 18*l**2 - 31*l**2 + 14*l**2. 13*l**3 + l**2 Collect the terms in -24 - 19 - 15 + 30*r - 20 + 71 - 110*r. -80*r - 7 Collect the terms in -3*n - 12556446*n**3 + 3*n + 12555910*n**3. -536*n**3 Collect the terms in -9*f + 26*f + 5*f**2 - 192038 - 8*f - 9*f + 192038. 5*f**2 Collect the terms in -688604441*l + 688604441*l + 103*l**3. 103*l**3 Collect the terms in 311*a + 3*a**2 - 151*a - 159*a + 610 + 160. 3*a**2 + a + 770 Collect the terms in -c + 83488137932886 - c**2 - 83488137932886 + c. -c**2 Collect the terms in -430*w - 434*w + 1741*w - 434*w - 439*w - 37*w**2. -37*w**2 + 4*w Collect the terms in 113*d**2 - 113*d**2 - 54665*d**3. -54665*d**3 Collect the terms in -4*t**3 + 671*t + 3*t**3 + 47 - 31 - 16. -t**3 + 671*t Collect the terms in -31797*a - 13073*a - 3 - 3046*a - 25889*a. -73805*a - 3 Collect the terms in 3 + 4 + 98*b**3 + 8 - 6 + 8. 98*b**3 + 17 Collect the terms in -1530*g**2 - 2 - 4116*g**2 + 1675*g**2. -3971*g**2 - 2 Collect the terms in -288 - 15549*v**3 + 15550*v**3 - 256. v**3 - 544 Collect the terms in -2 - 231138*n**3 - 3 - 2 + 0. -231138*n**3 - 7 Collect the terms in -3 - 15553434321*k**3 + 3 + 15553434314*k**3. -7*k**3 Collect the terms in 2*r**2 + 3585*r**3 - 2*r**2 - 2939*r**3. 646*r**3 Collect the terms in 3064 + 2*i - 885 + 974. 2*i + 3153 Collect the terms in -19853*s + 39823*s - 19943*s. 27*s Collect the terms in -222*a**2 + 381*a + 220*a**2 + 12 - 347*a. -2*a**2 + 34*a + 12 Collect the terms in -20894*d - 20905*d - 20902*d + 83590*d - 20908*d. -19*d Collect the terms in 7518*a**2 - 3253*a**2 + 2225 - 2224 + 3538*a**2. 7803*a**2 + 1 Collect the terms in 2*i**3 - 5*i**3 + 5*i**3 + 54*i**2 + 63*i**2. 2*i**3 + 117*i**2 Collect the terms in -133*n - 56*n + 306*n - 128*n. -11*n Collect the terms in -9439*n - 7554*n + 5597*n. -11396*n Collect the terms in 161 + 123 + 137*q + 125 - 409. 137*q Collect the terms in -4*k**3 - 2030*k + 2030*k - 651 + k**3. -3*k**3 - 651 Collect the terms in -32634*s - 30301*s - 11884*s. -74819*s Collect the terms in -103 + 319039*m - 99 - 319050*m + 202. -11*m Collect the terms in 3124 + 4629*c - 6240*c - 3126. -1611*c - 2 Collect the terms in -453*r**2 + 2 + 299*r**3 + 156*r**3 + 453*r**2 - 2. 455*r**3 Collect the terms in 1653*u**2 + 74*u**3 + 1634*u**2 - 3287*u**2 - 3 - 7*u**3 + 1. 67*u**3 - 2 Collect the terms in -8*m**2 - 148906*m + 148908*m + 17*m**2 - 20*m**2. -11*m**2 + 2*m Collect the terms in 12810*v + 13948*v - 587*v - 2796*v + 2691*v. 26066*v Collect the terms in 44072156 + 29*q - 44072156. 29*q Collect the terms in -4*d + 11551*d**3 + 11549*d**3 + 11541*d**3 - 34625*d**3. 16*d**3 - 4*d Collect the terms in -26*r + 6447*r**2 + 26*r - 8838*r**2 - 12884*r**2. -15275*r**2 Collect the terms in 271*n**2 - 271*n**2 + 61079*n**3 + 180787*n**3. 241866*n**3 Collect the terms in 202551*m**3 - 406450*m**3 + 203915*m**3. 16*m**3 Collect the terms in -672444*g**2 - 672342*g**2 + 1344803*g**2. 17*g**2 Collect the terms in 3 + 27961005*i + 4 - 7. 27961005*i Collect the terms in -14*x + 770343 + 770325 - 1540668. -14*x Collect the terms in 21*q**2 + 32766*q**3 - 32735*q**3 - 6*q**2. 31*q**3 + 15*q**2 Collect the terms in -41948965*k**3 - 41948977*k**3 + 83897951*k**3. 9*k**3 Collect the terms in 649129*v - 162352*v - 162085*v - 162337*v - 162357*v. -2*v Collect the terms in 42*q + 22*q**2 + 7*q**2 + 27*q**2 - 15*q - 28*q. 56*q**2 - q Collect the terms in -414 - 101*a - 102*a + 210 + 205*a + 202. 2*a - 2 Collect the terms in -y - 32*y**2 - 5*y**2 + 133*y**2 + 2*y - 60*y**2. 36*y**2 + y Collect the terms in -171*b - 401*b - 168*b. -740*b Collect the terms in 55479*k - 216301*k**2 - 55479*k. -216301*k**2 Collect the terms in -372*t**3 + 487*t**2 + 187*t**3 - 531*t**2 + 179*t**3. -6*t**3 - 44*t**2 Collect the terms in -9162 + 1855 + 1855 + 1852 + 1743 + 1857 + 14*v. 14*v Collect the terms in 232 - 11*h + 380 + 275 - 887. -11*h Collect the terms in 770 - 4999*i - 722 + 4997*i. -2*i + 48 Collect the terms in 40 + 2005*b**3 - 100*b**2 - 77 + 37. 2005*b**3 - 100*b**2 Collect the terms in -2*g - 642521*g**3 - 7*g + 160629*g**3 + 160632*g**3 + 9*g + 160625*g**3 + 160637*g**3. 2*g**3 Collect the terms in 597405740*t**2 + 597405738*t**2 - 1194811482*t**2. -4*t**2 Collect the terms in 39139*z**3 - 79223*z**3 + 40039*z**3. -45*z**3 Collect the terms in -6*g**2 - 132 - 1 + 20 + 53*g**2. 47*g**2 - 113 Collect the terms in -139850*n**2 - 149698*n**2 - 91138*n**2. -380686*n**2 Collect the terms in 7 + 4*k - 181*k**2 + 206*k**2 - 4*k + 546*k**2. 571*k**2 + 7 Collect the terms in -91 + 51 + 328*r + 42 + 199*r. 527*r + 2 Collect the terms in -2674*f - 2499*f - 2475*f + 7659*f. 11*f Collect the terms in 81621*w**2 - 44647*w**2 + 304784*w**2 + 0 + 1586*w**2 - 2. 343344*w**2 - 2 Collect the terms in -417*g**2 + 56*g**2 - 57*g**2 - 169*g**2 + 161*g**2 + 82*g**2. -344*g**2 Collect the terms in 34 + 572*l + 610*l - 32 - 1146*l. 36*l + 2 Collect the terms in -410*b - 402*b - 35 + 805*b + 9 + 16 + 10. -7*b Collect the terms in 50634*m**3 + 53776*m**3 + 89441*m**3. 193851*m**3 Collect the terms in 3*o + 174 - 1674 + 1505. 3*o + 5 Collect the terms in -16863*l**3 - 16590*l**3 + 34220*l**3 + 6 - 6. 767*l**3 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
*3 - 3*x**3 + 118 + 6*x**3 - 155 + 6*x**3 as r + n*x + i*x**3 + b*x**2 and give r. -37 Express 18287*s + 11478*s - 13851*s in the form g + z*s and give z. 15914 Rearrange (-3*x + 2*x + 3*x + (0 + 3 - 1)*(x + 3 - 3))*(2210*x**3 + 2464*x**3 + 2048*x**3) to j + p*x**2 + g*x + w*x**3 + h*x**4 and give h. 26888 Express -3*t - 536 + 1067 - 531 + 58*t**2 + 8*t**3 in the form w*t**2 + m + p*t**3 + o*t and give p. 8 Express (-9*a + 2 - 2)*(2*a**2 - 2*a + 2*a) + 150*a**3 + 310*a**3 - 654*a**3 as d*a + v*a**2 + r + w*a**3 and give v. 0 Express -1 - 4*a**3 - 3842*a**2 + 3*a**3 - 3*a - 3837*a**2 + 7674*a**2 in the form p + d*a**3 + h*a**2 + k*a and give k. -3 Express (55 - 55 + 12*o)*((-4 + 2 - 2)*(-6 + 2 + 2) + 0 - 1 + 2) + (2*o - 3*o - o)*(0 + 0 + 2) - 38 + 38 - 9*o in the form j + i*o and give i. 95 Express 584 - 4*f**3 - 291 - 292 + 4*f**2 + 23*f**4 - 5*f**2 in the form t*f**2 + y*f**3 + b + s*f + x*f**4 and give b. 1 Rearrange -1774*s**2 - 3*s**3 + 3552*s**2 - 1779*s**2 + 0*s**3 + 198*s - 6*s to the form a*s**2 + i*s + l + b*s**3 and give a. -1 Rearrange (3*s - 4*s + 0*s)*(-2173 + 687 - 962)*(-2 + 2 - 2*s) to the form u*s**2 + d*s + c and give u. -4896 Express 2*f**3 + 220*f + 144*f - 5573 + 5572 as r*f**2 + n*f + b + i*f**3 and give b. -1 Express (-6*j**2 + 33 - 33)*(j - j + 2*j) + 0*j + 0*j + j**3 - j - 2 - 315*j**3 - 283*j**3 + 602*j**3 in the form f*j**2 + d*j + s + u*j**3 and give s. -2 Express 8 + 1 - 2 - 13 + a**3 + 8*a**2 + 4*a as t + s*a**3 + m*a + h*a**2 and give m. 4 Rearrange -101367*t + 201870*t - 104165*t to n*t + a and give n. -3662 Rearrange -3326*m - 2932*m + 2352*m to the form q*m + g and give q. -3906 Express -929*z + 0*z**3 + 2*z**3 + 930*z - 4 - 9*z**2 + (-z**2 + 2*z**3 + z**2)*(-146 - 217 - 83) as d*z**2 + g + p*z**3 + b*z and give g. -4 Express (-22*c + 32*c - 1 + 57*c)*(70 - 93*c**3 - 70) - 4*c**4 + 4*c**4 - c**4 as a*c**2 + q + w*c + z*c**4 + g*c**3 and give z. -6232 Rearrange 216 - 582 + 36*v + 170 + 329 to j + u*v and give j. 133 Express -277*s**2 + s + 86*s**2 - 3 + 601*s**2 as m*s + u*s**2 + l and give u. 410 Rearrange 68*r**3 - 38*r**3 + 8*r**4 - 13*r**3 - 15*r**3 - 138*r**2 to a*r**2 + i*r + x + t*r**4 + f*r**3 and give i. 0 Rearrange (224*c**3 - 117*c**3 - 116*c**3 - c**2)*(4 - 20*c - 5 + 3 + 8*c) to m + v*c**2 + o*c**4 + x*c + t*c**3 and give t. -6 Rearrange 2*r**3 + 21268*r**4 + 0 + 1 + 20*r**2 - 2 - 21272*r**4 + 4*r + 124*r**2 to the form c + i*r + p*r**4 + z*r**3 + q*r**2 and give i. 4 Rearrange (-3 + 3 + 3*g)*(2*g**2 - 2*g**2 - g**2) + 5*g + 18*g + 5778*g**3 + 13*g - 36*g to h*g**3 + n*g**2 + f*g + u and give u. 0 Rearrange 9111*d**2 - 81 - 78 + 14998*d**2 + 159 to w + k*d**2 + h*d and give k. 24109 Express (-5*u - 2*u - 3*u)*(-655 - 567*u + 655) as b*u**2 + p + k*u and give b. 5670 Rearrange -105*j**2 - 4*j + 316*j**2 + 2*j - 111*j**2 - 111*j**2 - j**4 - 58 to r*j + a*j**3 + f + w*j**4 + s*j**2 and give w. -1 Rearrange -19 - i + 983*i**4 - 984*i**4 + 96*i**2 - 98*i**2 - i**3 + 6 to the form q*i + l*i**2 + r*i**4 + n*i**3 + k and give r. -1 Express -865*i - 44*i - 3880*i in the form k + j*i and give j. -4789 Express -67*d - d**2 + 57*d + 37*d + 5*d**2 - 5*d**3 as m + q*d**2 + l*d**3 + c*d and give c. 27 Express 2 + 13*c - 240*c**2 - 1 - 107*c + 94*c as p + o*c**2 + n*c and give p. 1 Express (-4 + 21 + 1)*(-3*h + 2*h - 7*h) - 2*h - 1 + 1 + 6*h + 2*h - 4*h + (0 + 0 + 3)*(4*h - 2*h - h) in the form r*h + g and give r. -139 Rearrange -467 - 3436*u**3 - u**4 + 3436*u**3 + 2*u - 2*u - u**2 to s*u**4 + j + w*u**2 + g*u + v*u**3 and give w. -1 Express -4*d**3 - 249739*d**2 + 249739*d**2 + 184*d**4 - d in the form c*d**4 + a*d**2 + q + n*d + s*d**3 and give c. 184 Rearrange (4*p**3 - p**3 - p**3)*(3 - 2 - 2)*(2 - 17 + 0)*(145 - 140*p - 145) to the form f*p**2 + z*p**3 + y*p**4 + m*p + r and give y. -4200 Express 303 - 303 - 9*o - o + 5*o - 6*o + (-2 - 1 + 1)*(0 + 0 - 2*o) + 2*o + o + 0*o in the form f*o + c and give c. 0 Rearrange (z + 2*z - 4*z)*(-4*z**2 + z**2 + 5*z**2) - 23*z + 23*z + 8*z**3 - 3 + 3 - z**3 - 15*z**3 + 41 - 41 to the form k*z + y*z**2 + g + q*z**3 and give q. -10 Rearrange 91 - 188 + 97 - 1140*n - 634*n to t + l*n and give l. -1774 Express (-u**2 - u**2 + 3 + 3*u**2)*((-2 + 1 - 8)*(-2 + 2 - 1) + 16 - 3 + 8) as l + i*u + h*u**2 and give i. 0 Rearrange -52 - 1 + 5 - 16 + 31 - 318*i**2 to s + h*i + g*i**2 and give s. -33 Express -9*h**4 + 7*h**4 - 15*h**2 + 11*h**2 - 3*h**3 + 4*h + 4*h**3 - 3*h - 9 in the form p*h**2 + f*h**3 + c*h + t + g*h**4 and give p. -4 Rearrange 12 - 30*d + 45*d - 45 to the form v*d + b and give b. -33 Express ((3 + 0 - 1)*(-3 + 1 + 0) + (-1114 - 256 - 476)*(-3 + 0 + 1))*(2*k - 3 + 3) in the form l*k + n and give l. 7376 Rearrange 15*c**2 + 18*c**2 - 4389 - 27*c**2 + 4389 - 362*c to the form r*c + s + h*c**2 and give r. -362 Express -2 + 2 - 3*v + (-2 + 1 - 5)*(-11*v + 0 + 0)*(-4 + 2 - 2)*(0 + 1 + 1) in the form u + h*v and give h. -531 Express -16*c + 12*c - 49*c - c + c - c + (2*c + 2*c - 2*c)*(-1 - 5 + 4) + 0*c + 3*c + 0*c as f + j*c and give j. -55 Rearrange (u + 0*u - 2*u)*(-1453*u - 1439*u + 6713*u)*(1 - 1 - u**2) to s + n*u**4 + c*u + p*u**3 + w*u**2 and give n. 3821 Rearrange (1447 + 972 - 161)*(6 - 5 - 6*g + 1) to the form u*g + j and give u. -13548 Express (-3 + p**2 + 3)*(-39*p**2 + 381*p**2 + 12*p**2) - 4*p**4 - 6*p**3 + 6*p**3 in the form o*p**3 + t*p**4 + f*p + c + m*p**2 and give t. 350 Express 179*b**3 - 37 + 17 - 5*b + 20 - 2*b**2 as a*b**3 + k*b + m*b**2 + y and give k. -5 Express (-4 + 4 - w)*(2 + 1 - 5 + (-1 + 1 - 2)*(-91 - 49 - 38))*(1 - 3 - 1) - 3*w + 0 + 0 as u + h*w and give h. 1059 Express (14 - 14 + 12*p**2)*(-1 + 3 - 1 + (1 + 2 - 4)*(1 - 1 + 2) - 7 + 8 + 1 - 2 - 4 + 4) in the form f*p + o*p**2 + r and give o. -12 Rearrange 6*d + 4*d + 2*d**2 + 6058 - d + 10*d - 18*d to the form o + s*d**2 + k*d and give o. 6058 Rearrange (22 - 27 - 6 + 28*m)*(m**2 - 15*m**2 + 7*m**2) to y*m + j*m**2 + x*m**3 + p and give y. 0 Rearrange (0 + 2*d + 0)*(-d**3 - 4*d**3 - 3*d**3 + (8*d**2 - 4*d**2 + 25*d**2)*(d - 2*d - 2*d)) to i + z*d**4 + n*d**2 + a*d**3 + p*d and give z. -190 Express -142*a - 23*a - 15*a**2 + 29 + 31*a**2 - 19*a**3 - 18*a**2 - 28 in the form l*a**2 + y*a**3 + x + g*a and give g. -165 Rearrange 2*n**2 + 5813*n + 5815*n - 43 + n**2 - 11626*n + 2*n**2 to the form i*n**2 + b + r*n and give r. 2 Express (-12*t - 11*t + 22*t - 83)*(4 - 5 - 5)*(3*t - 3*t + 22*t)*(6 - 4 - 4) as w*t + u + g*t**2 and give w. -21912 Rearrange -28 - 25 - 6214*n**2 + 144 - 89 to h*n**2 + k*n + z and give h. -6214 Rearrange 307 + 223*l - 900*l + 218*l + 219*l + 227*l to the form v*l + z and give v. -13 Rearrange (-2 + 5358*z**2 - 10578*z**2 + 5363*z**2 + z)*(-2 - 7 - 1) to s + c*z + o*z**2 and give s. 20 Express q - q + q + (4*q + 164*q + 156*q)*(-1 - 1 + 3) as j*q + f and give f. 0 Express 33*i + 129*i + 107 + 156*i - 105 as w*i + o and give o. 2 Rearrange -2*c + 0*c + 3*c + (2*c - c - 3*c + (4 - 5 + 0)*(-2*c + 2*c + 9*c))*(26 - 139 - 29) to i + d*c and give d. 1563 Rearrange (0*y**2 + 0*y**2 + y**2)*(0*y - 3*y + 0*y) + y**2 - y**2 - y**3 + 19 - 3072*y**3 + 52 + 3093*y**3 to s*y + c*y**3 + r + l*y**2 and give r. 71 Rearrange (-3*m**2 + m**2 + 3*m**2)*(2 - 2 - 1) + 7 - 5 + 12725*m**2 + m - 17154*m**2 to the form n*m + u*m**2 + f and give u. -4430 Express -15*r**2 + 6*r**2 + 3972*r - 3875*r in the form w*r + j + u*r**2 and give u. -9 Rearrange -b + 443*b**3 + 12*b**2 + 550*b**3 + 11*b - 990*b**3 to s*b**2 + o*b**3 + n*b + v and give s. 12 Rearrange (a - 2*a + 3*a)*(-61*a - 11 + 2 + 8)*(-1 + 1 - 10*a) to the form w*a**2 + s + x*a**3 + j*a and give w. 20 Express (-674*q + 319*q + 345*q)*(5 - 5 - 5*q) as f*q**2 + v*q + w and give f. 50 Rearrange (4 - 3*p - 4)*(-2 - 10 + 6)*(98 - 69 - 132) to b + o*p and give o. -1854 Rearrange (2 + 4 - 3)*(525*h - 525*h + 145*h**3)*(2 - 8 + 10) to s*h**3 + a*h**2 + t*h + y and give s. 1740 Express -20667996 + 20667996 + 17175*b in the form w + x*b and give x. 17175 Rearrange 3634*w**3 - 8 - 187*w + 0 + 0 + 6 + 188*w to z*w**2 + i*w**3 + o + c*w and give o. -2 Express -7766*n - 864*n + 214 + 207 - 421 as s*n + a and give s. -8630 Rearrange 2*s**3 + 1403*s - 5*s**2 - 866*s + 3*s**4 + 4*s**4 - 6*s**4 + 4*s**2 to l*s**2 + r*s**4 + y + p*s**3 + z*s and give y.
{ "pile_set_name": "DM Mathematics" }
er. 3, -5, q Suppose p + 10 = 4*g, -5*g - 4*p + 2 = -0. Suppose 5*l - 102 + 32 = 0. Let k(v) = v**3 + 6*v**2 + 6*v. Let y be k(-5). Put l, y, g in descending order. l, g, y Let l(i) = -i**3 - 3*i**2 + 2*i + 4. Let g be l(-4). Suppose -g = 4*k, 6*j = 2*j + 4*k + 48. Suppose -x + j = 6. Put 5, -1/4, x in increasing order. -1/4, x, 5 Let y = 1/295 + 587/885. Sort -0.2, 0.4, y, -8 in descending order. y, 0.4, -0.2, -8 Let r = -0.07 - -0.22. Let b = 58.85 + -0.85. Let c = b - 56. Sort r, c, 0. 0, r, c Let h = -2227 - -2228. Sort h, -1/7, 84.3. -1/7, h, 84.3 Let m(x) = -x**3 - 12*x**2 - 33*x - 10. Let c be m(-8). Sort -29, 4, 5, c in descending order. 5, 4, c, -29 Suppose 12*q - 30 = 2*q. Let p be 30/9 + -3 - (-5)/q. Sort p, -1, -1/5 in descending order. p, -1/5, -1 Suppose 2*d = 5*c - 19, 0*d - 2*d = 4*c - 8. Suppose -2*f + 8 = 2*k, 0 = 4*f - 56*k + 54*k + 2. Sort 2, -1, f, c in increasing order. -1, f, 2, c Suppose -2*n + 3*m - 12 = 0, -17 = 5*n - 3*m + 31. Suppose -20*k - 40 = -15*k. Let r be (n/48)/(10/k). Put -2, r, -0.4 in descending order. r, -0.4, -2 Let m = -0.532 + 4.532. Let p = -0.3 - 0.2. Sort 0.09, m, -4, p. -4, p, 0.09, m Let s(f) = f - 2. Let l be s(5). Suppose -4*d - 4*x - 19 = -l, -x + 26 = -5*d. Let y = 16 + -11. Put d, y, 4 in ascending order. d, 4, y Let g(r) be the second derivative of -r**5/20 + 3*r**4/4 - 2*r**3/3 - 19*r**2/2 - r. Let z be g(8). Sort 0, z, 0.5. 0, 0.5, z Let b(u) = u**3 - u**2 - 8*u + 3. Let r be b(3). Let m be 7/2 + ((-3)/(-6))/(-1). Sort -5, m, r in increasing order. -5, r, m Let w = -112.4 + 92. Let d = w + 23. Let k = -3 + d. Sort 2/5, k, 0.5 in increasing order. k, 2/5, 0.5 Let s = -2092 - -2092. Let j = 9 - 15. Sort s, j, -4 in descending order. s, -4, j Let d = 245/1089 + -1/363. Put 0.4, -51, d in decreasing order. 0.4, d, -51 Suppose 10*q - 8 = 8*q. Suppose q*y - 2 = -h + 10, -5*y + 24 = -h. Suppose -2*r + 5*r = c - 13, 10 = 4*c + 2*r. Sort c, 2, h in descending order. c, 2, h Let g = -0.284 - -0.184. Put -6, 2, g, -0.5 in descending order. 2, g, -0.5, -6 Suppose 3*n + 35 = 41. Sort 4, n, -5 in decreasing order. 4, n, -5 Suppose -4*p - 16 = 0, 16 = 2*w + 2*w + 2*p. Let z be (16/w)/(8/12). Suppose 0 = -3*i + l + z*l - 4, 0 = 2*i - 3*l + 2. Sort 4, 15, i in ascending order. i, 4, 15 Let u = -5178 - -5178.16. Let n = -0.3 - -0.6. Put u, n, 1/2 in increasing order. u, n, 1/2 Suppose -7*d - 70 + 189 = 0. Let g(c) = -c**2 - 5*c + 5. Suppose 3 = -2*o - 9. Let r be g(o). Sort r, d, 0 in decreasing order. d, 0, r Suppose 15 = 3*l + 2*l. Suppose l + 1 = s. Suppose 0*m = -s*m + 12. Sort m, -2, 1 in increasing order. -2, 1, m Suppose -5*l - 11 = 3*k, -47*l + 43*l - 3*k = 10. Put l, 8, -5 in ascending order. -5, l, 8 Let q = 34 - 30. Let t be -3 + (4/q - 6). Let u be 3/(-12) + 38/t. Sort -3, 3, u in decreasing order. 3, -3, u Let f = -5.8 + 2.4. Let d = 0.4 + f. Put 0, -1, d, 4 in descending order. 4, 0, -1, d Suppose 5*q - 5*o = -30, 4*o = -q - 1 - 20. Sort -2, 5, q in ascending order. q, -2, 5 Let q be -3 - ((-198)/72 - 1/4). Sort -3, 2, 1, q in descending order. 2, 1, q, -3 Let c = -0.06 + 3.06. Let z be (28/(-10))/((-6)/(-15)). Let f = -8 - z. Sort -0.1, f, c. f, -0.1, c Let t = 28 + -46. Let j = -15 - t. Let x = -10 + 14. Put j, 5, x in ascending order. j, x, 5 Let r = 708 + -708.4. Let f = 0 - -0.2. Put f, -5, r in decreasing order. f, r, -5 Suppose -5*o = 5*q, 0 = -2*o + o - 3*q - 10. Sort 0, o, 4 in descending order. o, 4, 0 Let j = 34 - 30.2. Let a = j - 4.2. Put a, -8, -1 in descending order. a, -1, -8 Let i = -195/14 - -101/7. Put i, -0.5, -3/40 in increasing order. -0.5, -3/40, i Let t = -4 - 7. Let r = t - -8. Let j = r + 3.5. Put 1/3, j, 0 in decreasing order. j, 1/3, 0 Let v be (-42)/(-105) + 27*4/(-20). Suppose -2*n = i - 6, 0 = n + 3*n + 5*i. Put 1, n, -8, v in increasing order. -8, v, 1, n Let f = -3.4 + -0.6. Let a = 1706 - 11944/7. Sort f, -1.2, a. f, -1.2, a Let r = -44 + 43.1. Sort 1/4, r, 1 in descending order. 1, 1/4, r Let z(t) = t**2 - 12*t + 23. Let y be z(3). Let b = 45 + -857/19. Sort 4, b, 0.5, y in increasing order. y, b, 0.5, 4 Let t = 2.43 + 8.57. Put -3, -0.5, t in decreasing order. t, -0.5, -3 Suppose 0 = 4*m + u - 3*u - 16, -14 = -4*m + u. Suppose -m*q = 3*q - 30. Suppose -1 + q = -g. Sort 1, 3, g in decreasing order. 3, 1, g Let n = 1276.6 - 1277. Sort -0.08, n, -30 in ascending order. -30, n, -0.08 Let s = 2.667 - 0.667. Sort s, 0, 3/7. 0, 3/7, s Suppose 0 = -3*f + 21 - 12. Put 0, 13, f in descending order. 13, f, 0 Let l be (1 - 30)*(2 + -1). Let u = 57/2 + l. Let o be (-5)/2*36/(-2925)*-5. Put u, o, -4 in ascending order. -4, u, o Let m = 1313.5 + -1314. Put 4, m, 69, -2/11 in ascending order. m, -2/11, 4, 69 Let c be (-1)/(-7) + -1*(-136)/28. Suppose 5*z + 23 = -4*y, -4*z = -0*z - y + 10. Sort z, -4, c. -4, z, c Suppose 3*f + 3 = -z, 5*f - 33 = z - 6. Sort -1, z, -3. z, -3, -1 Let f be (-9)/(-6)*((-8)/3 + 4). Let b = 25 - 20. Put b, f, 1 in descending order. b, f, 1 Suppose -5 = -4*c + 5*c. Let j = c + 3. Let l be 1 - (-1 - (-4)/j). Put l, 0.5, 0.2 in ascending order. 0.2, 0.5, l Let f = 237 - 231. Sort f, 0, -5, 4 in decreasing order. f, 4, 0, -5 Let b = 172.3 - 147.3. Let u = 3.92 - -0.08. Sort u, -3/5, b in decreasing order. b, u, -3/5 Suppose -2 = 4*j - 3*j. Let q(r) = 2*r + 20. Let p be q(-10). Sort p, j, -5, -3 in decreasing order. p, j, -3, -5 Let z = 1.41 + -1.5. Let b = z + -9.91. Let t = b + 10.4. Sort -5, t, 2 in ascending order. -5, t, 2 Let c(r) = -r**2 + 6*r. Let t be c(6). Let l(y) = -y**3 - 8*y**2 - 3*y + 26. Let m be l(-7). Let f = 9 - 8. Put f, t, m in increasing order. m, t, f Let u be (-284)/(-6)*(5 - 104/16). Let m(h) = h**3 + 6*h**2 - h - 8. Let l be m(-6). Put -5, l, u in increasing order. u, -5, l Let g = 353/5 + -71. Sort g, 0.05, -5. -5, g, 0.05 Let h = -15.955 - 0.045. Let y = h + 20. Put y, 5, -5 in descending order. 5, y, -5 Let q = 91 - 102. Let t = -239.9 + 251. Let s = q + t. Put s, 2/17, -2/9 in descending order. 2/17, s, -2/9 Let p(q) = -q**2 - q + 12. Let a be p(0). Let d = 4 - a. Put 4, -2, d in descending order. 4, -2, d Let c = -157/1384 - 2/173. Sort c, -0.07, 1/5, 2/13 in descending order. 1/5, 2/13, -0.07, c Let k be ((-38)/(-84) + (-2)/12)*-14. Sort 0.29, 1/6, k, -0.3 in decreasing order. 0.29, 1/6, -0.3, k Let g = 3 - 2.8. Let s = -0.3 - g. Let p be (8 + (-660)/75)*10/44. Sort s, p, -2 in increasing order. -2, s, p Let f(h) = -4*h - 23. Let m be f(-7). Suppose -2*g = -5*u + 5, -m*u = -5*g - u - 4. Put -1, g, -3 in increasing order. -3, -1, g Let f = 0.096 - -66.904. Let r = f - 62. Sort r, -6, 2, 2/9 in decreasing order. r, 2, 2/9, -6 Let t = 10 - 14. Let n be t/(-6) - 33/9. Let m = 31 - 33. Sort m, 3, n. n, m, 3 Let n = 40 + -37. Put -9, 1, n in decreasing order. n, 1, -9 Suppose -22 = 4*x + 2*s, -4*s = x - s + 18. Let j(o) = -2*o - 4. Let v be j(x). Let c = -0.36 - -0.86. Put 1/9, v, c in decreasing order. v, c, 1/9 Let w be (-9)/3*(-2)/(-3). Put -58, w, 5 in ascending order. -58, w, 5 Suppose 12 = 3*u - x - 2, 0 = -2*u - 4*x. Suppose 0 = u*o - 0*o + 2*b + 144, 3*o + 111 = -3*b. Let p = o - -34. Sort 4, p, 0. p, 0, 4 Let q = 60 - 49. Let d = 10.9 - 1.9. Let w = d - q. Sort 1/2, -1/3, w. w, -1/3, 1/2 Let o be (-1)/2 - (13 + (-104)/16). Sort -1, o, 0 in increasing order. o, -1, 0 Suppose 15 = -5*j, 25*j - 27*j = -2*q - 2. Put 8, 10, q, 4 in descending order. 10, 8, 4, q Let m = -56 - -42. Let v = -13.6 - m. Sort 2/13, 0, v in descending order. v, 2/13, 0 Let w be (6/42)/(2/(-14)) + 6. Let o(n) = -n + 3. Let k(c) = -5*c. Let z be k(-1). Let r be o(z). Put 0, r, w in increasing order. r, 0, w Let r = -13 - -11. Suppose -27 = -3*n - 39. Sort 1, r, 0, n in decreasing order. 1, 0, r, n Let n = 182 - 179. Let g = 251/4 - 63. Put -2, g, n in ascending order. -2, g, n Let p = 14913 + -14909. Let l = 13/85 + 2851/255. Sort -5, p, l in increasing order. -5, p, l Let w = 16 + -47. Let r = w + 29. Sort r, 5, 10 in decreasing order. 10, 5, r Let r = -0.3916 - 0.1084. Put r, -0.2, 2, 1 in descending order. 2, 1, -0.2, r Let u be -3 + 8/30*-9 + (-4)/(-10). Let s = 7 + -4. Sort s, -2, u, 2/7 in descending order. s, 2/7, -2, u Suppose 30 + 122 = -c - 4*w, w = -2*c - 269. Let r be c/36 + (-1)/3. Sort r, 2, -3, 9/5. r, -3, 9/5, 2 Let t be (-2)/
{ "pile_set_name": "DM Mathematics" }
l. Solve -l*u - 7 = -3*w - 9*u, -3*w + 2*u = p for w. -1 Let w(a) = -17*a + 529. Let z be w(31). Solve -7*h - 19 = 5*q - 9*h, 0 = -q - z*h + 1 for q. -3 Let p be (((-81)/(-9) + -8)/(-1))/((-3)/9). Solve 18*q + 1 = 13*q + x, 0 = q - p*x + 3 for q. 0 Suppose -29 - 1 = 5*x. Let k be (-46)/x - (84/18 + -4). Let u be -2 - (-9 - -1)*k/7. Solve -u*h - 2 = -2*n - 2*h, -2*n = -3*h for n. -3 Let h be (-2 - 31)*(-2)/3. Let z(d) = h*d**2 + 35 - 6*d - 4*d**2 - 10*d + d**3 - 2*d**2. Let p be z(-17). Solve p = -5*q - 2*s, 18 = -q - 4*s - 0*s for q. -2 Suppose -5*f + 94 = 69. Suppose -5*a + 7*i = 2*i - f, 2*i = 0. Let j be ((-2)/3)/((-2)/12*a). Solve 0*z - 9 = -j*z + 5*q, 0 = 3*z - q - 4 for z. 1 Let a = 427 - 425. Let r be 2/(-5)*(-7 + a) + 1. Solve r*p - 3*z - z = -14, 5*p = z + 5 for p. 2 Let x(b) = -b**3 + 6*b + 6. Let y be x(-2). Let f(m) = -3*m**3 - m. Let j be f(-1). Suppose j*w - 1 = 3*w. Solve -d - y*i = w, -d - 6 = -5*i + 9 for d. -5 Let n(v) = -7*v**2 + 28*v - 1. Let c(u) = 4*u**2 - 15*u. Let p(o) = -5*c(o) - 3*n(o). Let i be p(0). Solve w + 5*s - 5 = 0, -5*w = -i*w + 5*s - 10 for w. 5 Let s(u) = 33 - u**2 - u + 26 + 4*u**3 - 86 + 27. Let h be s(1). Solve 0 = 5*t - h*r - 26, -4*t = -3*r - 22 - 3 for t. 4 Suppose 17236 = -11*x - 0*x + 17544. Solve 4*l - 39 = -23, -x = -4*v - 5*l for v. 2 Suppose 4*k - 68 = -4*n, 3*n + 16 = -5*k + 69. Let g(c) = -5*c**2 - 121*c - 22. Let o be g(-24). Solve 0 = -o*l - l + 5*v + n, 0 = v + 5 for l. -3 Suppose 12 = 3*g - 5*a, -74*g - 12 = -77*g + a. Solve -13*y + 9 = -8*y - g*n, 4 = -4*n for y. 1 Let t be -7 + (-48)/64 + (279/(-4))/(-9). Solve 16 = -4*l - 4*x, l + t*x - 8 = 2*x for l. 0 Suppose 81 = 7*z + 25. Suppose 3*m - 2*c - z = -3, 3*m = 3*c. Suppose -2*k - 6 = -2*f, m*f - 3*k + 5*k = 29. Solve 0 = y + f, y - 2 = g - 3 for g. -4 Let g(r) = -5*r + 1 - 1 + 21. Let w be g(5). Let z be 152/95 - w/10. Solve -3*p = z*t - 7*t + 34, 4*t = 2*p + 26 for p. -3 Let w be (-6 - 1)/7*-1. Suppose 43 = 2*g - 21. Suppose 2*n + g = 3*n. Solve 4*u = -4*l + n, 2*u - 9 = w for l. 3 Suppose j - 2*p - 1 = 0, -4*j - 4*p - 31 = 1. Let d = j - -61. Suppose -4*h - 64 = -5*z, -z = 4*z + 4*h - d. Solve -3*r - r + 2*v - z = 0, 6 = -r - v for r. -4 Let g be 3 - ((-120)/10 + 8 + 6 + -1). Solve 4*x = 6*x + g*t, -2*x - 5*t + 3 = 0 for x. -1 Let d = 121591 + -121591. Let n(a) = a**3 - 3*a**2 + a - 1. Let l be n(3). Solve h - 2 = -l*m - d, 5*h - 18 = -2*m for m. -1 Suppose -5*v - l + 17 = 0, -4*v - 36*l + 38*l - 6 = 0. Solve -v*g - q = 11, 2*g + 98 - 72 = -4*q for g. -3 Let w be (1 - (1 - 2))*-11*(-27)/198. Solve -w*s + 4*t + 2 = 0, 0 = 2*s - t - t for s. -2 Let q(n) = -13 + 13 - n. Suppose 5*t = -3*u - 20 + 4, -3*u = -3*t. Let j be q(u). Solve j*s - 6 = -h, s + 19 = 5*h - 0*h for s. 1 Let g = 85 - 40. Let k = 45 - g. Solve 2*n + 4*w - 4 + 0 = k, 0 = n - 2*w + 6 for n. -2 Let f(o) = 14*o**2 - o**3 + 5 + 0*o + 0*o - 17*o**2. Let g be f(-3). Solve -5*j - g - 7 = -4*r, 16 = 2*r - 5*j for r. -2 Let l(u) be the first derivative of u**3/3 - 9*u**2/2 - 6. Let w be l(6). Let z = 21 + w. Solve z*q - 6 = k, -4*k + 4*q + q - 3 = 0 for k. 3 Let n be 0/(-4)*((-6)/9 - -1). Suppose 5*h + 10 - 45 = n. Let z(u) = -8*u - 2. Let t be z(-2). Solve 0 = -b - 3*k + h, -b - t = -k - 5 for b. -5 Let k be (-40)/24*(-73 + 67). Solve -k*z + 15*z - 10 = 5*h, -5*z = -2*h - 16 for h. 2 Suppose -r = -117*m + 113*m + 17, -2*m + 9 = -r. Solve 0 = 4*i + m*g - 4, -14 + 21 = i + 3*g for i. -2 Let u be (-10)/155 + 0 + 760/248. Solve u*s = -l - 9, -l = -79 + 82 for s. -2 Let f = 11331 + -11326. Solve -s - 2*v = -4, -2*s - f*v - 2 + 12 = 0 for s. 0 Let o = -283 + 286. Solve 8 = 4*n + 4*r, n = -2*r + o + 1 for n. 0 Let x(i) = -5*i + 1. Let z be x(2). Suppose 18*d - 12*d = -342. Let v be z/12 + d/(-12). Solve -5*g = -5*r + 10, -v*g = -4*r + g + 11 for r. -1 Let d(y) = -3*y**3 - 15*y - 16. Let l be d(-1). Solve -5*p + b + 25 = l*b, 5 = p - 4*b for p. 5 Suppose 3*t - 78 = 3*g, 0 = -3*t - 2*g - 0*g + 73. Let s be (-28)/(((-10)/t)/(2/10)). Solve -5*v + s = 4*m, -4*m - m = v - 7 for m. 1 Let c be 1159/5 + 36*(-20)/(-3600). Solve 0 = 2*o + c*h - 237*h + 3, 5*o - 4*h = 1 for o. 1 Let f be (6 - 7)/((-12)/4)*15. Solve 32 = 3*d + 4*b, b = f*d + 1 - 16 for d. 4 Suppose 15*i - 22*i = -140. Suppose -4*j - 2*p + 16 = -0*p, p = 5*j - i. Solve -2*g = -j*g + 2*t, -g + 4*t - 15 = 0 for g. 5 Suppose -1420 = 29*z - 24*z. Let u = z + 290. Solve 3*i + u = 0, -k - 3*k = 4*i + 20 for k. -3 Let x be (22/44)/(1/18). Let a = x - 1. Let b be 4/a*(-4 + 4). Solve b = 3*v + 2*f + 4, -4*f = 2*v + 8 for v. 0 Let o(b) = -b**3 + 76*b**2 + 66*b + 853. Let u be o(77). Solve -h = 3*i + 2, -3*i = -11*h + 14*h + u for h. -2 Suppose 7*k - 57 = 67 - 47. Solve 5*d - 3*y - 6 = 0, 4 = -5*d - 13*y + k*y for d. 0 Let y = 1184446 - 1184443. Let n be (-14)/(-6) + (-4)/(-6). Solve -n*q = -4*o + 6*o - 5, -5*q + 2*o = -y for q. 1 Let q = -7 + 13. Suppose -1 = q*s - 49. Suppose -6 = -9*r + s*r. Solve r = 2*u, -4*g - 13 - 4 = u for g. -5 Suppose 208*w - 213*w - l = -74, -2*w + 3*l + 33 = 0. Solve -5*n - 19*f + 1 = -w*f, -4*n - 2*f = -2 for n. 1 Suppose 16*l + 0*l = 112. Let m be l*13/(637/84). Solve -5*i - r + 3 = 3*r, i - 3*r = m for i. 3 Let x(j) = -9*j**3 - 51*j**2 + 16*j - 12. Let w be x(-6). Solve 4*k - 2 + w = -5*f, -4*k - 14 = -3*f for k. -2 Let q = 114 - 48. Suppose -8*n - q = 166. Let r = 29 + n. Solve -2*s + 3*j = -0*s + 13, 3*s + 2*j = r for s. -2 Let b(p) = p**3 + p**2 - 2*p - 4. Let y be b(-2). Let r be (y/(-10))/(3/(-30)). Let g = -3 - r. Solve -g = 2*j - k - 5, 3*j = -3*k - 12 for j. 0 Suppose 41*q = 13*q + 84. Solve 0 = 4*h - 7*h - 12, -q*d = -5*h - 26 for d. 2 Let f(g) be the third derivative of g**5/12 - g**3/3 + 28*g**2. Let n be f(-1). Solve -2*w - 3*u + 10 = 0, -2*w + n*u + 5 = -5 for w. 5 Suppose 3*p + r - 70 = 0, 51*p - 3*r = 56*p - 118. Solve -p*l = -25*l - 4*z, 2*l = -5*z - 2 for l. 4 Suppose 20*w - 3000 = 12*w. Suppose -v + 4*v = w. Let q = 128 - v. Solve q*a - 3 = -2*t, -t + a = 2*t - 10 for t. 3 Suppose 9*f = -19 + 127. Suppose -l + f = 4*q, l + 2 = 3*q - 0*l. Solve -10 = -6*u + u, 2*o - q = u for o. 2 Let h(r) = 2*r**2 + 4*r - 14. Let d be h(2). Suppose -t + d*b = -3*b - 40, t - 19 = -2*b. Solve 5*w - t = -3*c + c, -5*w + 2*c + 5 = 0 for w. 3 Let q = 169 + -161. Suppose -q = -d - h, -d + h = 2*d - 8. Solve 4*k = -4*r + 4, 0*r = -3*r + d*k + 24 for r. 4 Suppose 0*y + 3344 = 38*y. Let j = y - 84. Solve 5*p - j*a = 2*p + 12, -4 = -p + 4*a for p. 4 Let f be 0 + (46/2 - -4). Suppose 2*i + i - f = 0. Let c be 32/(-24)*(-2)/(12/i). Solve -4 = -w + 4*n + 1, 2*w = -c*n for w. 1 Let q = 54 + -39. Suppose 5*o - 5 = 60. Suppose -2 = o*v - q*v. Solve -2 = 2*t, 2*t - v = 2*p + 5 for p. -4 Suppose -17 = 4*q + 7. Let y be 9 + -7 + -3*4/q. Let v be (60/(-35))/(y/(-14)). Solve -c = 4*o + 13, 3*o - 3*c + 0 = -v for o. -3 Suppose -y + 13 = 127*o - 122*o, 0 = 2*o + 6. Solve 3*z - 6*u - 1 = -5*u, -y = -4*z - 4*u for z. 2 Let h be 96/8*((-26)/(-8) + -3). Let k be (11 - 4)*36/14 - h. Solve 5*z + 4*n = -n + k, -9 = z - 2*n for z. -1 Let p be (-69)/(-21) + ((-52)/65)/((-70)/(-25)). Solve 14 = p*g + 4*q, -2*g - q + 10 = 2*g for g. 2 Let c be (295/9)/1 + (-26)/(-117). Let y be 54/(0 + -2) - 1. Let u = y + c. Solve u*q - 2*q = 2*p + 3, 5*q + 2 = p for p. -3 Let q be 2/(6 + -8)*0/(-25). Solve -4*u + 16 = f - 0*f, 4*f + 6*u - 14 = q for f. -4 Let m = -5 + 20. Let a = -12 + m. Suppose -4*n + 3 = -3*n. Solve 0*q = 4*q - a*z + 32, 5*q + 37 = n*z for q. -5 Suppose -4*l - 14*l = -26843 + 26825. Solve 3*z - 7 = t - 3*t, -z + t - l = 0 for z. 1 Suppose 66 = 48*d + 158*d - 346. Solve -3*o + 4*w = -6*o - d, 4*o = 2*w + 12 for o. 2 Let h be 10 + (1 - ((-75)/5)/((-15)/6)). Solve 2*p - h*k = 21, 27*k = 2*p + 24*k - 15 for p. 3 Suppose 0 = a - 9 - 2. Suppose 2*n + a*n = 2*n. Suppose 10*h - 11*h = n. Solve h*q + 13 = 3*x + 2*q, 0 = 2*x - 3*q for x. 3 Let d = 23 - 21. Suppose 0*j - 3*j = 2*g - 20, 0 = -d*j - 4*g. Solve 3 = 5*y - 2*w - 10, -2*y - j = 3*w for y. 1 Suppose 5*d = 1 + 259. Suppose 4*j - 144 = -5*n, 4*j = 15*n - 13*n - d. Let f = 7 + -5. Solve 0 = -f*p - 8, 4*k = 4*p + p + n for k. 2 Let n(j) = j**2 - 4. Let y be n(3). Let r be (-164)/y - (-1)/(-5). Let f = r - -39. Solve -f*v + 2*v - 4*p = 0, 4*v = -2*p + 6 for v. 3 Suppose -8*d + 2*g = -7*d - 4
{ "pile_set_name": "DM Mathematics" }
51. Let j(o) = b*q(o) + t*k(o). Find the second derivative of j(z) wrt z. 24*z**2 Let w(i) be the third derivative of 0*i**7 + 0*i**5 + 0 - 3*i**2 + 0*i**3 + 5/24*i**4 - 1/56*i**8 + 0*i**6 + 0*i. What is the second derivative of w(h) wrt h? -120*h**3 Let q = 11 + -7. Find the third derivative of 2*m**4 + 9*m**q - m**2 - 13*m**4 wrt m. -48*m Let t(g) be the first derivative of -5*g**3/3 - 6*g**2 - 32. Find the second derivative of t(j) wrt j. -10 Let u(j) be the second derivative of -3*j**6/5 - 7*j**3/3 - 6*j. Find the second derivative of u(q) wrt q. -216*q**2 Let z(w) be the third derivative of 0*w**5 + 0*w + 0 + 0*w**7 + 0*w**3 + 0*w**6 - 1/6*w**4 + 3*w**2 - 1/168*w**8. What is the second derivative of z(x) wrt x? -40*x**3 Let n be 153/12 + 1/4. Suppose -5 = 4*w - n. What is the third derivative of -9*p**3 - p**5 - w*p**2 + 9*p**3 wrt p? -60*p**2 Differentiate -3 + 27*o**2 - 27*o**2 - 6*o**3 wrt o. -18*o**2 Find the second derivative of 11*a**4 + 2 + 28*a**4 - 3 + 52*a - 71*a wrt a. 468*a**2 Let g(v) be the second derivative of -v**4/4 + 3*v**3/2 - v. What is the second derivative of g(h) wrt h? -6 Let t(h) = h**3 + 3*h**2 - 3*h + 5. Let k be t(-4). Let u = 3 - k. What is the second derivative of -u*v + 7*v**4 - 4*v**4 - v + 0*v**4 wrt v? 36*v**2 What is the third derivative of 8*v**2 + 8*v**2 - 16*v**4 + 4*v**4 wrt v? -288*v Let b(r) = -2*r**5 + 7*r**2 + 6*r. Let k(u) = 5*u**5 - 21*u**2 - 17*u. Let c(n) = 17*b(n) + 6*k(n). Find the third derivative of c(p) wrt p. -240*p**2 Let q(v) = -15*v**4 + 5*v**2 - 1. Let k = -25 + 23. Let g(l) = 7*l**4 - 2*l**2 + 1. Let u(f) = k*q(f) - 5*g(f). Differentiate u(r) with respect to r. -20*r**3 Find the second derivative of -11*g + g - g - 17*g**2 - 3*g wrt g. -34 Let n(a) be the first derivative of -7*a**3/3 + 7*a - 4. What is the first derivative of n(l) wrt l? -14*l Let a(u) be the first derivative of 3*u + 0*u**2 + 3/5*u**5 + 0*u**4 - 2 + 0*u**3. Differentiate a(x) wrt x. 12*x**3 Let n(z) = -1. Let i(f) = -13*f**4 - 3*f**2 - 5. Let l(a) = i(a) - 5*n(a). What is the third derivative of l(v) wrt v? -312*v Let s(a) be the second derivative of a**4/12 - a**3/3 - a**2/2 - a. Let t be s(3). Find the third derivative of -t*z**5 - 3*z**2 + 2*z - 2*z wrt z. -120*z**2 Let j = -8 + 16. Find the first derivative of j - 6 + 6*v + 2 + 0 wrt v. 6 Let p(x) be the third derivative of x**7/30 + 5*x**4/8 - 6*x**2. Find the second derivative of p(r) wrt r. 84*r**2 Let t(l) be the third derivative of -3*l**6/40 + l**4/12 - 2*l**2. What is the second derivative of t(m) wrt m? -54*m Suppose 5 = -b + c, 4*b - 4*c + 3*c + 14 = 0. Let j be 56/12 - (-2)/b. What is the third derivative of -2*m**2 + 2*m**4 - 2*m**6 - 2*m**j + 0*m**2 wrt m? -240*m**3 Let p(b) be the second derivative of -b**6/6 - 7*b**4/12 - 2*b. Find the third derivative of p(d) wrt d. -120*d Let m(s) be the third derivative of s**5/120 + 5*s**4/24 + s**3/3 + 7*s**2. Let i(r) be the first derivative of m(r). Find the first derivative of i(o) wrt o. 1 Let c = -6 - -7. Let p be c*10/(-2 + 4). What is the third derivative of 5*o**2 + 0*o**2 - 3*o**2 - 4*o**p wrt o? -240*o**2 Let o(c) be the third derivative of 3/8*c**4 + 0*c**3 + 0 + 0*c + 3/20*c**5 + c**2. What is the second derivative of o(k) wrt k? 18 Let b(q) be the first derivative of -q**4/24 + 5*q**3/6 + q**2/2 - 5. Let r(s) be the second derivative of b(s). Differentiate r(c) wrt c. -1 Let o be (1 + -13)*((-12)/9 + 1). Let m(p) be the first derivative of 0*p**2 - 2 - 3/4*p**o - 1/3*p**3 + 0*p. What is the third derivative of m(t) wrt t? -18 Let u(z) be the third derivative of 5*z**8/168 + z**4/3 - z**2. Find the second derivative of u(k) wrt k. 200*k**3 Let l = 7 + -7. Suppose l = -3*q + 3*p + 21, 0 = -2*q + q - p - 1. What is the derivative of v + 2*v**3 - v + 1 + 2*v**q wrt v? 12*v**2 Suppose -12 + 40 = 4*x. Suppose -3*o - x = -4*v, 1 = -o + 3*v - 8. What is the third derivative of 2*m**o - m**3 - 2*m**2 + 0*m**3 wrt m? 6 Let y be (-1)/(1 + -2) - -4. Let j = y + -3. Find the third derivative of u**3 + 3*u**3 - 6*u**3 - 2*u**2 + u**j wrt u. -12 Let v(g) = g + 10. Let h be v(-8). Find the second derivative of -5*c**5 + 3*c + 13*c**2 - 13*c**h wrt c. -100*c**3 Find the third derivative of y**4 - 24*y**2 - 28 + 17*y**5 + 59 - 29 wrt y. 1020*y**2 + 24*y Let h(t) = t**2 - 11*t. Let j be h(11). What is the second derivative of -6*u**3 - 2*u + u**3 + j*u**3 + 0*u**3 wrt u? -30*u Let n(o) = 20*o**4 - 7*o**2 + 5*o - 5. Let f(r) = 10*r**4 - 4*r**2 + 3*r - 3. Let x(u) = 5*f(u) - 3*n(u). Find the third derivative of x(g) wrt g. -240*g Let p(h) be the second derivative of h**5/10 + 7*h**4/12 + h. What is the third derivative of p(t) wrt t? 12 Let t(o) be the second derivative of -1/12*o**4 + 0*o**2 + 1/10*o**6 + 0*o**3 + 0 + 0*o**5 - 2*o. Find the third derivative of t(s) wrt s. 72*s Let p(j) = -12*j**2 - 21*j. Let n(y) = y**2 + y. Let t(h) = 5*n(h) + p(h). Find the second derivative of t(o) wrt o. -14 Let q(o) = -5*o - 10. Let p(g) = -15*g - 29. Let x(r) = 6*p(r) - 17*q(r). What is the first derivative of x(n) wrt n? -5 Find the second derivative of 6 - 6 - 15*a + 12*a**5 + 0 wrt a. 240*a**3 Let w(b) be the first derivative of 0*b**2 - 5*b + 1 + 6/5*b**5 + 0*b**3 + 0*b**4. Differentiate w(u) with respect to u. 24*u**3 Let r = -7 - -12. What is the derivative of -2 - 4*u**2 + 4 - 4 + r wrt u? -8*u Let m(p) = p + 98 - p**2 - 99 + 2*p**2. Let j(o) = -2*o**4 - 3*o + 3. Let x = -8 - -5. Let y(a) = x*m(a) - j(a). Find the third derivative of y(g) wrt g. 48*g Let g(m) = -m**4 + 25*m**2 + 6*m. Let c(l) = -l**4 + 25*l**2 + 5*l. Let w(r) = -6*c(r) + 5*g(r). What is the third derivative of w(x) wrt x? 24*x Let j(i) be the first derivative of 0*i - 1 + 1/2*i**4 + 0*i**2 - 5/3*i**3. What is the third derivative of j(h) wrt h? 12 Let c = 19 - 16. Let n(j) be the third derivative of 1/20*j**5 + 1/24*j**4 + 0 + 0*j + c*j**2 + 0*j**3. Find the second derivative of n(i) wrt i. 6 Let g(p) be the second derivative of 5*p**4/4 - 4*p**3/3 + 16*p. What is the second derivative of g(q) wrt q? 30 Let c be -2 + (1 - -6 - 2). Suppose -c*h + 2 + 13 = 0. What is the third derivative of -a**2 + 2*a**5 - 2*a**5 - 3*a**h wrt a? -180*a**2 Let l(o) be the third derivative of 9*o**6/40 + 19*o**3/6 - 23*o**2. Differentiate l(j) wrt j. 81*j**2 Let p(d) be the third derivative of d**6/24 + 5*d**4/6 - 12*d**2. What is the second derivative of p(b) wrt b? 30*b Let b(s) be the second derivative of -s**8/48 - s**5/30 + 5*s**2/2 + 5*s. Let k(w) be the first derivative of b(w). Find the third derivative of k(f) wrt f. -420*f**2 Suppose 5*b = 3*l - 17, -b = l + 2*l + 7. Let f = 6 + b. What is the derivative of -5*k + 3*k**2 + f + 5*k wrt k? 6*k Let b(n) be the first derivative of -n**3 + 0*n**2 + 1 + 0*n + 0*n**4 - 3/5*n**5. Find the third derivative of b(w) wrt w. -72*w Let c(w) = 4*w**2 + 2*w + 1. Let k be (-1)/(2/(-2)) - 2. Let b be c(k). Find the first derivative of 2 - o**b + 3*o**3 - 3 wrt o. 6*o**2 Let w(u) = -616*u**3 - 91*u**2 - 511*u. Let k(a) = -41*a**3 - 6*a**2 - 34*a. Let b(g) = -91*k(g) + 6*w(g). Find the second derivative of b(p) wrt p. 210*p Let l(b) = 12*b**2 - 6*b - 6. Let k(n) = 23*n**2 - 11*n - 12. Let u(v) = 6*k(v) - 11*l(v). Find the first derivative of u(g) wrt g. 12*g Let y = 8 + -1. Suppose 3*n - 2*u + 1 = 0, -6 = -0*n - 2*n - 2*u. What is the derivative of n - y*b**3 + 4*b**3 + 2 - 1 wrt b? -9*b**2 Find the first derivative of -17 + 20 - 13 + 13*m wrt m. 13 Let x be 6/(-33) + ((-736)/44)/(-4). Let g(t) be the first derivative of 0*t**3 - 3*t + 1 + 0*t**2 - 1/4*t**x. Differentiate g(o) wrt o. -3*o**2 What is the third derivative of -5*o**2 + 21*o**3 + 31*o**3 - 48*o**3 wrt o? 24 Let v(k) = k + 7. Suppose -o - 4 - 1 = 0. Let g be v(o). Find the second derivative of x - 3*x + 0*x + g*x**2 wrt x. 4 Let m(o) be the first derivative of -o**6 + 2*o**3 + 5. What is the third derivative of m(j) wrt j? -360*j**2 Let c(r) be the first derivative of -5/3*r**3 + 0*r - 4 - 3*r**2. Find the second derivative of c(n) wrt n. -10 Find the second derivative of 5*i**3 - 3*i**3 - 7*i + 13*i**5 - 2*i**3 wrt i. 260*i**3 Let s(x) be the first derivative of 5*x**8/56 - x**4/4 - 7*x - 3. Let j(t) be the first derivative of s(t). Find the third derivative of
{ "pile_set_name": "DM Mathematics" }
late the lowest common multiple of w and 90. 990 Let i be ((-102)/10)/((-78)/130). Suppose 3*g = -d + 3, i = 2*d - 2*g - 21. What is the lowest common multiple of 12 and d? 60 Let y = -8752359 + 551359504/63. Let x = -1865/3 - y. What is the common denominator of -17/3 and x? 63 Let h = 10 - 4. Suppose -2 = -h*a + 4*a. Suppose -3*i = -f - a - 2, 2 = i. What is the lowest common multiple of 1 and f? 3 Let y = -38368 + 4067097/106. Suppose -3*h = -4*v - 105, -7*v + 2*v - h - 117 = 0. Find the common denominator of -3 + 4 + (-159)/v and y. 424 Let x(f) = f**3 + 4*f**2 - 2*f + 3. Let i be x(-4). Suppose -26*d - 2*d = 28. Let u = i - d. Calculate the lowest common multiple of u and 6. 12 Let y(a) = 3*a**2 - 21*a - 20. Let n(h) = h**2 - h + 3. Let t(j) = 4*n(j) - y(j). What is the least common multiple of t(-16) and 312? 624 Suppose -6*j = -3*j - 12. Let q be j/(-10) - (235/(-25) + 5). What is the least common multiple of q/6 + ((-1140)/9)/(-5) and 22? 286 Let w(p) = 57*p - 40. Let b be w(5). What is the lowest common multiple of 16 and (-3672)/(-5) - 98/b? 5872 Let k = -705/17342 + 1188116141/173420. Let q = k - 6853. What is the common denominator of (3/2)/((-33)/77) and q? 20 Let p = -337/21 - -95/6. Let o = -2016/37 - -77699/74. Let h = -966 + o. What is the common denominator of p and h? 14 Suppose -21*c = 66 - 24. What is the least common multiple of 25704/68 - (c + 0)*2 and 16? 3056 Let b = -259871/7 - -36860. Let k = -61279/231 - b. Find the common denominator of -47/15 and k. 165 Let w(p) = -p - 1. Let k(g) = -18*g - 45. Let d(j) = -k(j) + 15*w(j). Let l be d(-8). Suppose -q - l = -2*q. Calculate the lowest common multiple of 6 and q. 6 Let c = 97 - -53. Suppose -c = -9*t - t. What is the smallest common multiple of 55 and t? 165 Let f = 614489/2476386 + 2/229295. Find the common denominator of f and 73/360. 1080 Suppose -64*l - 238 = -71*l. Suppose 0*c - y = 3*c - 50, -l = -c + 4*y. What is the lowest common multiple of 45 and c? 90 Let w = -619522 + 1187623615/1917. Find the common denominator of -52/15 and w. 9585 Let y(d) = -d**3 - 10*d**2 - 14*d - 20. Let x be y(-10). Suppose 4*b = -5*n + x, -3*b = 4*n - 7*n - 90. Calculate the lowest common multiple of b and 24. 120 Let q = -244 + 253. Let b be (2/(-24) - -1)/(8/(-44868)). Let r = b + 5132. What is the common denominator of r and q? 8 Let b(w) = w**2 - 17*w + 35. Let r be b(15). What is the smallest common multiple of r*(5 + -2)/(45/12) and 12? 12 Suppose -p + 84*p + 378 = 2038. What is the smallest common multiple of 2310 and p? 4620 Let p = 28928 + -42053. Calculate the common denominator of 105/26 and p/(-6800) + 4/(-34). 208 What is the smallest common multiple of 20/(-110) + 344540/110 and 162? 9396 Suppose -c - 15 = -0*c + 2*o, 31 = -2*c - 3*o. Let r = c + 20. What is the lowest common multiple of (-27 - -25) + ((-28)/2)/(-1) and r? 12 Let i be 2*((-45)/40)/(6/(-8)). Calculate the least common multiple of 88 and (-12)/(-9) - -8 - i/9. 792 Suppose -3*f - 9 = -87. Suppose 0 = f*j - 23*j + 132. Calculate the smallest common multiple of 8/j - (-670)/55 and 4. 12 Let x = -22094 - -88331/4. Find the common denominator of x and -37/80. 80 Calculate the common denominator of (-241)/(-644) + (-184)/644 and -53/4. 644 Let n = 569 - 461. What is the least common multiple of n and 459? 1836 Let i(j) = j + 14. Let k be i(-11). Suppose -2*y = w + 3, -y - k*w = -7 + 1. Calculate the smallest common multiple of (-8)/y - (80/(-24) + 2) and 10. 20 Let p = -234 + 233. Calculate the common denominator of 46/45 and -10 + 7 - p/(-40)*-107. 360 Let m(w) = -w**3 + 2*w - 26. Let g be m(0). Let a = -49/2 - -27. Calculate the common denominator of 141/g + 1 - -1 and a. 26 Let d be 1 + (2 - (-11199)/9). Suppose -2*t + 2486 = 4*h, 3 = 6*h - 5*h. Let y = d - t. Calculate the common denominator of y and 37/6. 6 Let d(r) = -3*r**2 + 308*r - 177. Calculate the smallest common multiple of d(75) and 4. 6048 Let n = 98/45 - 6881/990. Let h(b) = -b - 2. Let x be h(-7). Calculate the common denominator of n and x + -1 - 415/(-60). 132 Let v(i) = 3*i**2 + 34*i - 1412. What is the smallest common multiple of 120 and v(26)? 3000 Let z(l) = l**2 + 45*l - 16*l - 13*l - 15*l - 16. Let a = 37 + -27. What is the least common multiple of z(-5) and a? 20 Let v be (-484 - (-9 + 3)) + -2. What is the common denominator of 1/(-2) + 89/(-48) and 70/42 + (-4)/(v/142)? 240 Let b = -282 - -12429/44. What is the common denominator of b and 975/297 + (4 - 384/108)? 44 Suppose 4*m + 8 = 0, -5*o + 12*m - 9*m = -106. Calculate the common denominator of (130/o + -7)*4/11 and 9/7. 77 Suppose -6*b + 4*b - 46 = 0. Suppose -4*c + 155*r + 100 = 159*r, 2*r = 4*c - 118. Let a = c + b. What is the least common multiple of 11 and a? 55 Let v = -27010 + 27166. Suppose 3*p + 2*p + 5 = 0, 4*o + 3*p = 85. What is the least common multiple of v and o? 1716 Let f = 90628 + -90616. Let u = 13 - -35. Calculate the smallest common multiple of u and f. 48 Let s(p) = 14*p + 666. What is the smallest common multiple of 34 and s(18)? 918 Suppose 0*s - 5*s = -35. Let b(i) = -11*i. Let h be b(s). Let j = 119 + h. What is the smallest common multiple of 6 and j? 42 Let s = -156/541 + 1441742/4996135. Let n = s + 544857/36940. What is the common denominator of n and (2 + -1 - 18)/(-2)? 4 Calculate the common denominator of -24774*18/(-26352) - 17 and -145/192. 11712 Let i be (-2 - 3) + (0 - 5 - -9). Suppose 3*m = -4*t + 101, 51 = m - t - 2*t. Calculate the lowest common multiple of 0/1 + 0 + i + 22 and m. 273 Let k = 757/19 - 8565/266. What is the common denominator of k and -11/256? 1792 What is the common denominator of (6 - 2)/(-120)*(-10)/8*134 and -1/648? 648 Let f = 9 - -26. Let s(v) = -7*v - 7. What is the smallest common multiple of f and s(-6)? 35 Let n = -18425715/248 + 74297. Find the common denominator of 103/20 and n. 1240 Let b = 1 + 0. Suppose y - 4 = b. Suppose -5*o - 6 = -k, 19*o + 54 = 5*k + 18*o. Calculate the lowest common multiple of k and y. 55 Find the common denominator of (-48)/(-162) - (-4 - -3) and (-2)/(-4)*412/96. 432 Let d = -8313 - -8333. Let x(w) = -8*w - 1. Let a be x(-1). Let u = -5 + a. Calculate the smallest common multiple of d and u. 20 Suppose 0 = -75*t + 7798 + 4502. Calculate the smallest common multiple of t and 533. 2132 Let i be (4/((-4)/1777))/(-1). Let s = i - 12409/7. Calculate the common denominator of (-6 + (-18)/(-8))*23/(-10) and s. 56 Find the common denominator of (((-39)/(-312))/((-3)/(-6)))/((-42)/436) and 49/162. 1134 Let y(q) = -2*q - 14. Suppose 2*b + 5*u + 397 = 0, 5*u = -4*b + 3*b - 186. Let a = -135 - b. What is the lowest common multiple of a and y(-12)? 380 Let c = 59 + -37. Let t = -31 + 35. Suppose -8*u - t = -9*u. What is the least common multiple of u and c? 44 Let b = 1/38465 - -2499202/39349695. Find the common denominator of 16/11 and b. 1023 Calculate the common denominator of (-2)/((-4620)/626) - (-87)/(-435) and -14/9. 3465 Let s = -90/493 + -423710/1479. Let j = -293 - s. What is the common denominator of 3/(-2) + 74/(-28) and j? 21 Suppose -5*u + 10 = 5*i, 3*i = u - i - 7. Suppose -3*c - 199 = -5*q, 0 = c - 2*c - u*q - 71. Let a = c + 69. Calculate the least common multiple of 5 and a. 5 What is the common denominator of 138/(-33)*(35/10 + -4) and 51/410? 4510 Let z be (196 - -30)*(9/(-2))/(-3). What is the lowest common multiple of ((-3)/15 - z/(-45))*39 and 2? 286 Let x be (-6)/9 + 152/(-6). What is the common denominator of (28/(-33) - 72/(-396)) + 484/96 and (x/(3 + -1))/12? 24 Calculate the smallest common multiple of ((-612)/5)/((-17)/(10200/90)) and 12. 816 Let i = 119 - 133. Let b = 53/28 - 25/4. Calculate the common denominator of b and i/24 - -2 - (-33)/11. 84 Calculate the lowest common multiple of 420 and ((-11)/55)/(8/(-32)) - 5242/(-10). 2100 Let i(n) = n**3 + 7*n**2 - 7. Let v be i(-7). Let a(x) = -17*x + 11. Calculate the smallest common multiple of 8 and a(v). 520 Let t(o) = -394*o + 732. Calculate the lowest common multiple of 6 and t(-11). 15198 Let f = 3/481 + -508/4329. Calculate the common denominator of f and ((-556)/(-112))/((-6)/(-4)). 126 What is the lowest common multiple of 176 and (-222)/(-18)*39 - (-4 - -1)? 1936 Suppose -2*h - 4*n = -36, -5*h + 2*n = 5*n
{ "pile_set_name": "DM Mathematics" }
344? 23405343 In base 2, what is 101110011111111010000 - 100011001? 101110011111010110111 In base 11, what is 1198353a7 - 3? 1198353a4 In base 10, what is 155 + -600718? -600563 In base 12, what is -1001812 - 4? -1001816 In base 11, what is -150 + -10a736? -10a886 In base 8, what is -3 + -62151722? -62151725 In base 2, what is 1000000001 - 1010000001? -10000000 In base 10, what is 73 + -200623? -200550 In base 15, what is 4c11644 - 3? 4c11641 In base 9, what is 1227108 + 6? 1227115 In base 2, what is 100001110001100100000010 - -11? 100001110001100100000101 In base 3, what is 100120 + -112220102121? -112220002001 In base 14, what is 7219 + -6170? 1089 In base 9, what is 8608452 + 5? 8608457 In base 10, what is -3363398 - 0? -3363398 In base 6, what is -152 + 1321435? 1321243 In base 3, what is 200111202001 + -201112? 200111000112 In base 16, what is 38aaa3df - -3? 38aaa3e2 In base 12, what is 6b + -63b40? -63a91 In base 7, what is 1523 - 53? 1440 In base 9, what is -1164151 - -40? -1164111 In base 14, what is 5 - -6aad66? 6aad6b In base 7, what is -1230123151 + 2? -1230123146 In base 14, what is -21b1351 - 5? -21b1356 In base 4, what is 13 - -12202031220? 12202031233 In base 10, what is 699000 + 246? 699246 In base 7, what is 21343005 + 0? 21343005 In base 4, what is 1010123 + 13130101? 20200230 In base 3, what is -21222 + 11002001211? 11001202212 In base 14, what is -453888 + -8d? -453937 In base 8, what is -6 + 21371140? 21371132 In base 8, what is -6507 - 4247? -12756 In base 10, what is -6 - -727061? 727055 In base 13, what is 1c4 + -2cc42? -2ca4b In base 6, what is -140331231 - -234? -140330553 In base 9, what is 3 - 65385314? -65385311 In base 8, what is -1207 - 21100? -22307 In base 7, what is -1402 + 333103? 331401 In base 5, what is 32 - 23214011? -23213424 In base 9, what is -18 + 4368828? 4368810 In base 10, what is 16684 + 303? 16987 In base 6, what is 4 + 214202131? 214202135 In base 12, what is 475 + 17606? 17a7b In base 5, what is 1213111230221 + 10? 1213111230231 In base 8, what is -14 - -17005226? 17005212 In base 6, what is -144033354 + 0? -144033354 In base 9, what is 5 + 16612307? 16612313 In base 7, what is 10143 - 6365? 445 In base 3, what is 220201101220 - 111001? 220200220212 In base 15, what is 1764905 - -2c? 1764932 In base 6, what is 104553231 + -5? 104553222 In base 7, what is -3 - -20401520? 20401514 In base 10, what is -104363 - 1390? -105753 In base 9, what is -12 - 4256331? -4256343 In base 12, what is 155016a6 - 4? 155016a2 In base 5, what is 1241 - 1234310? -1233014 In base 6, what is 124231 - -121342? 250013 In base 13, what is -8b165b8 + -2? -8b165ba In base 5, what is 10 + 430333430? 430333440 In base 14, what is -26a2 + -643? -2d05 In base 15, what is -2 + -10c2b7c? -10c2b7e In base 4, what is 1 - 30103123003121? -30103123003120 In base 4, what is 122201303312202 + 0? 122201303312202 In base 8, what is 1444557 - -47? 1444626 In base 8, what is 315 - 1574613? -1574276 In base 11, what is -440a23296 + -5? -440a232a0 In base 12, what is 14045941 + 2? 14045943 In base 8, what is -33627 - -700? -32727 In base 2, what is -11 - -11011111011001100111000? 11011111011001100110101 In base 11, what is 2433706 - -7? 2433712 In base 14, what is 23a3c + -849? 231d3 In base 8, what is 217212011 + -2? 217212007 In base 15, what is 89620 - a? 89615 In base 5, what is 14123321 - -3? 14123324 In base 4, what is 313032 - -220102232? 221021330 In base 11, what is -a6a731 - 7? -a6a738 In base 5, what is 3303022 + -231131? 3021341 In base 8, what is -20206367 - 5? -20206374 In base 12, what is 396580 + 107? 396687 In base 11, what is 526430 - 92? 526349 In base 5, what is 113104113 + -14212? 113034401 In base 3, what is -11101101 - -1220122? -2110202 In base 7, what is 1613 - 365664? -364051 In base 15, what is 107ad8e + e? 107ad9d In base 13, what is -286778 + 47? -286731 In base 12, what is 0 - 192889? -192889 In base 6, what is -11 + 214330330? 214330315 In base 13, what is -b8bb26 - -1? -b8bb25 In base 12, what is b20 - a1a? 102 In base 4, what is 2 - -102310123100? 102310123102 In base 8, what is -1672 + -36402? -40274 In base 5, what is -13134012 - 110? -13134122 In base 5, what is 22231442124 + 132? 22231442311 In base 5, what is 13130113342 + 0? 13130113342 In base 4, what is 20311233000 + -1123? 20311231211 In base 15, what is 4b88 - -1c7? 4d60 In base 3, what is 1101212 + 112010112? 120112101 In base 4, what is -303312133123 + -21? -303312133210 In base 15, what is 1065b2 + -2? 1065b0 In base 7, what is 3 - 22522344? -22522341 In base 15, what is -2 - c3c77d? -c3c780 In base 14, what is 2 - 27bb812? -27bb810 In base 4, what is -1 + 220103210? 220103203 In base 4, what is 11233000 + 21320? 11320320 In base 6, what is -221305402 - 3? -221305405 In base 8, what is -27 + -26010647? -26010676 In base 5, what is -2030233103414 + -4? -2030233103423 In base 13, what is -91 - -14a68? 149a7 In base 11, what is -18a + -a0604? -a0793 In base 10, what is -11062 + -4948? -16010 In base 7, what is -42635 + -3063? -46031 In base 3, what is -2000201 + 20001011211? 12222011010 In base 13, what is 1cc16463 - -3? 1cc16466 In base 13, what is -a545c - -20b? -a5251 In base 13, what is 2a10 - c2b? 1ab2 In base 9, what is 88 - -25658? 25757 In base 5, what is -401241 - -3240? -343001 In base 5, what is 201122 + 3313040? 4014212 In base 2, what is -10011110010000101111 + -10100100? -10011110010011010011 In base 15, what is 1e42 + 400? 2342 In base 15, what is -2 - -4627e9e? 4627e9c In base 11, what is 3 - -201414a0? 201414a3 In base 15, what is -47136 - -2? -47134 In base 6, what is 2012 - -233151? 235203 In base 3, what is 2 + 2110212022220? 2110212022222 In base 4, what is -2122 + -2133110001? -2133112123 In base 11, what is 5 - -918175? 91817a In base 3, what is 112020121002 + -12200? 112020101102 In base 2, what is 100001110 + 1111101001110010100? 1111101010010100010 In base 10, what is 0 - -24848? 24848 In base 12, what is -4738208 + -3? -473820b In base 15, what is 43 + -42de41? -42dded In base 11, what is -3 + -91a056a? -91a0572 In base 14, what is -7d3706 - 7? -7d370d In base 11, what is -2828711 - 0? -2828711 In base 11, what is -24068 - -6615? -18553 In base 11, what is -3206 + 10658? 8452 In base 7, what is 1353 + -124563? -123210 In base 9, what is -18547 - -104? -18443 In base 8, what is -236256772 - -4? -236256766 In base 11, what is -1110991 + -39? -1110a1a In base 7, what is 3200 + -156351? -153151 In base 10, what is -357 - 123812? -124169 In base 3, what is -21 + 1220122021120111? 1220122021120020 In base 14, what is -807 - 1dbcc? -205d5 In base 8, what is -213275271 - -4? -213275265 In base 7, what is -120 + 2443053? 2442633 In base 15, what is 378eba - -a7? 379072 In base 5, what is -243 + 2002404? 2002111 In base 4, what is 10 - 101221123331? -101221123321 In base 14, what is -26 + -12269b? -1226c3 In base 4, what is -2220021 + -10020110? -12300131 In base 12, what is 11b61bb - 5? 11b61b6 In base 10, what is 163 - 74983? -74820 In base 11, what is 370a75 - 165? 370910 In base 11, what is 288a - -1498? 4277 In base 8, what is 547 + 455357? 456126 In base 14, what is -111 - 21b8a? -21c9b In base 12, what is -21baaa - -2a? -21ba80 In base 10, what is 2 - 2644687? -2644685 In base 5, what is -22324240221 - 201? -22324240422 In base 3, what is -11101001 + 12110202? 1002201 In base 11, what is 221917784 + 3? 221917787 In base 4, what is 0 - 20120031003? -20120031003 In base 8, what is 12566 + 21514? 34302 In base 2, what is 10001 + -110001110010011010001? -110001110010011000000 In base 11, what is -2a0687 - 30? -2a0707 In base 10, what is -2 + -179575660? -179575662 In base 7, what is 252505331 - 13? 252505315 In base 10, what is 1756 - 58151? -56395 In base 9, what is -1087 + 65850? 64752 In base 8, what is -244333 + -404? -244737 In base 10, what is 81 - -265956? 266037 In base 13, what is -50cc - -b2c? -42a0 In base 3, what is 1202 - 102101021222021? -102101021220112 In base 16, what is -e9ac + -3fb7? -12963 In base 15, what is 4 + e8c3c? e8c41 In base 13, what is 3 + 96b1221? 96b1224 In base 15, what is 1126d79 - 0? 1126d79 In base 11, what is 666902 - -68? 66696a In base 11, what is 5 - 8482aa? -8482a5 In base 7, what is
{ "pile_set_name": "DM Mathematics" }
+ b*i + 2/3*i**4 = 0. -2 Let u(g) = -g**2 + 32*g + 3588. Let r be u(78). Let n = -65 + 391/6. Factor 0*m + n*m**3 - 2/3*m**2 + r. m**2*(m - 4)/6 Let l(a) be the third derivative of 1/210*a**6 - 1/42*a**4 - 23*a**2 + 0*a - 1/70*a**5 + 2 + 0*a**3. Determine f so that l(f) = 0. -1/2, 0, 2 Let g(w) be the third derivative of w**8/1344 + 5*w**7/168 + 29*w**6/160 - 253*w**5/240 + 35*w**4/24 + 3*w**2 - 282. Suppose g(f) = 0. Calculate f. -20, -7, 0, 1 Let l(y) be the first derivative of 0*y**2 - 11 + 0*y**3 + 1/3*y**4 - 3*y. Let k(q) be the first derivative of l(q). What is c in k(c) = 0? 0 Let h(g) be the second derivative of 13*g**7/14 + 167*g**6/10 + 1209*g**5/20 + 337*g**4/4 + 34*g**3 - 30*g**2 - 299*g. Determine d, given that h(d) = 0. -10, -1, 2/13 Suppose -5*i + 3*z + 13 = 0, 0*i - i + 25 = 5*z. Factor 15*v**3 + 78*v**4 - 4256*v**5 + 653*v**3 - 800*v**2 + 4258*v**i + 52*v**3. 2*v**2*(v - 1)*(v + 20)**2 Let r = 70 + -29. Suppose f - r + 36 = 0. Factor f*n**2 + 10*n**2 + 16 - 68*n + 0*n**2 + n**2. 4*(n - 4)*(4*n - 1) Solve -29808*b**2 - 500*b**5 - 16700/3*b**4 - 7776*b - 21240*b**3 + 0 = 0 for b. -18/5, -1/3, 0 Let y(r) be the third derivative of -r**5/150 + 41*r**4/60 - 26*r**3/5 - 20*r**2 + 2. Determine w, given that y(w) = 0. 2, 39 Suppose -32*h + 28 = -28*h. Let t(r) be the second derivative of 0 - 2*r - 2/9*r**3 + 4/9*r**4 - 2/5*r**5 - 2/63*r**h + 8/45*r**6 + 0*r**2. Factor t(z). -4*z*(z - 1)**4/3 Let f = 3237 - 3231. Let i(v) be the first derivative of -12*v - 11 - 3/4*v**4 + f*v**2 + v**3. Solve i(c) = 0. -2, 1, 2 Factor -2/7*k**2 + 0 + 130*k. -2*k*(k - 455)/7 Solve -2/5*h**4 + 16/5*h + 2/5*h**3 + 4*h**2 + 0 = 0. -2, -1, 0, 4 Let v be (35/3 - 12)*(-13 + 7). Factor 2/9*f**4 + 70/9*f - 8/3 - 22/3*f**2 + v*f**3. 2*(f - 1)**3*(f + 12)/9 Suppose -61*p + 58*p + 951 = 0. Let d = p - 315. Factor -4/3 + 5/3*v - 1/3*v**d. -(v - 4)*(v - 1)/3 Let r(v) be the second derivative of -73*v**4/48 - v**3 + 59*v + 38. Solve r(w) = 0 for w. -24/73, 0 Let q(w) be the first derivative of -w**5/270 + 11*w**4/108 - 28*w**3/27 - w**2 + 23*w + 243. Let n(u) be the second derivative of q(u). Factor n(o). -2*(o - 7)*(o - 4)/9 Let p(l) be the first derivative of l**4/2 + 237*l**3/2 - 89*l**2/2 - 5237. Solve p(g) = 0 for g. -178, 0, 1/4 Let j be (-72)/432*18/(-4). Suppose 3*z - 7 + 14 = -k, -4*z - 4 = 4*k. Solve 0 + 3/4*t**k + 0*t + 0*t**3 - j*t**4 = 0 for t. -1, 0, 1 Let t be (-45)/30*(-4)/3. Let 4 - t - 13*d - 2*d**2 - 6 + 0*d**2 - d**2 = 0. Calculate d. -4, -1/3 Let t(g) be the second derivative of 0 - 25/6*g**3 - 5/6*g**4 + 1/4*g**5 + 142*g + 15*g**2. Factor t(w). 5*(w - 3)*(w - 1)*(w + 2) Let h(k) be the first derivative of k**7/42 - 5*k**6/24 + k**5/3 - 3*k**2/2 - 3*k - 31. Let v(i) be the second derivative of h(i). Factor v(t). 5*t**2*(t - 4)*(t - 1) Find j such that 267*j**2 + 108 - 351*j**3 + 4*j**3 - 10*j**5 + 580*j - 408 - 13*j**3 - 175*j**4 - 2*j**2 = 0. -15, -2, 1/2, 1 Find b such that 679*b + 1420*b**2 - 5*b**3 - 4825*b + 1410 + 1321*b = 0. 1, 282 Let p be (-1)/((-6)/(-9))*(1 + -3). Let y be 1/p*(-84)/(-14). Factor 6/17*h**y - 2/17*h**4 + 4/17*h + 0*h**3 + 0. -2*h*(h - 2)*(h + 1)**2/17 Let k(u) = -u**2 + 20*u + 17. Let n be k(25). Let o = -215/2 - n. Suppose -3/2*q**2 - 5/2 + 9/2*q - o*q**3 = 0. Calculate q. -5, 1 Let y(u) be the second derivative of u**10/10080 - u**9/1008 + u**8/320 - u**7/280 + 7*u**4/6 - 155*u. Let i(c) be the third derivative of y(c). Factor i(j). 3*j**2*(j - 3)*(j - 1)**2 Suppose 0 = -16*c - 63452 + 63452. Suppose c - 42/5*r + 3/5*r**2 = 0. What is r? 0, 14 Suppose 2*u + 5*v + 170 = 0, 41 = -2*u + 5*v - 89. Let p = 63 - u. Factor -3*w**2 - p*w**4 - w**2 + 142*w**4. 4*w**2*(w - 1)*(w + 1) Suppose -8*p**3 + 1740*p**4 + 80*p**2 + 96*p - 16*p**3 - 1744*p**4 - 256 = 0. What is p? -8, -2, 2 Let x = 20 - 9. Let z be (-3 - 0)/(((-18)/12)/1). Factor -24*q**z - 5*q - x*q + q**3 + 3*q**3 - q**4 + 7*q**4. 2*q*(q - 2)*(q + 2)*(3*q + 2) Suppose -382/7*b**2 + 180/7 + 18*b**3 - 318/7*b + 10/7*b**4 = 0. Calculate b. -15, -1, 2/5, 3 Let b = 104 + 7. Let a = b + -108. Find j, given that 40/3*j - 13*j**2 - 4 + a*j**3 = 0. 2/3, 3 Let k = -97567 - -97570. Factor 16/3 - 1/3*p**k + 4*p + 0*p**2. -(p - 4)*(p + 2)**2/3 Let f(c) be the first derivative of c**5/10 + 7*c**4/8 + 3*c**3 + 5*c**2 + 4*c - 515. Factor f(j). (j + 1)*(j + 2)**3/2 Determine z so that -2/3*z**2 - 248/3*z - 320 = 0. -120, -4 Let w(s) be the third derivative of -s**7/105 - 11*s**6/60 + 7*s**5/5 - s**4/3 - 56*s**3/3 - s**2 - 303. Determine f so that w(f) = 0. -14, -1, 2 Let a be (0/1 - 0)/(-7 - -9). Suppose -r - 9*z = -6*z - 2, a = 5*z. Find k such that 7*k**3 + 2*k + 14*k**r - 6 - 6*k**2 - 2 - 9*k**3 = 0. -1, 1, 4 Let i(b) be the second derivative of b**6/90 - 8*b**5/15 + 32*b**4/3 + 3*b**3/2 + 41*b. Let y(q) be the second derivative of i(q). Determine u so that y(u) = 0. 8 Factor -5*f**4 + 159*f - 270*f**2 - 276*f**3 + 69*f + 2*f**4 + 41*f + 273 + 7*f. -3*(f - 1)*(f + 1)**2*(f + 91) Let q = 157331/104886 - 1/52443. Solve -1/2*l**3 - 2*l**2 + 0 - q*l = 0 for l. -3, -1, 0 Suppose -p - 4*z + 8 = 0, -3*p = -5*p + 3*z + 5. Suppose -5*s + 0*b = -p*b - 32, -4*s - 4*b + 40 = 0. Factor -5*m**3 + s*m**5 - 5*m**5 + m**5 + m**3. 4*m**3*(m - 1)*(m + 1) Suppose -1043*k - 768 + 1966*k - 3*k**2 - 1019*k = 0. Calculate k. -16 Suppose 2*d + 4*q + 8 = 0, -36 = -0*d - 5*d + 4*q. Let k(w) be the second derivative of 1/4*w**5 + 0*w**2 + 5/2*w**3 + 0 + 5/3*w**d - 14*w. Factor k(a). 5*a*(a + 1)*(a + 3) Factor -147456/5 + 1536/5*r - 4/5*r**2. -4*(r - 192)**2/5 Factor 153/4 + 27/2*u + 1/4*u**2. (u + 3)*(u + 51)/4 Let w(t) = 4*t - 38. Let m be w(10). Let 63*s**2 + m*s**5 + 8*s**4 + 6*s**3 - 71*s**2 - 2*s**3 - 6*s = 0. What is s? -3, -1, 0, 1 Suppose -6*i - 2*r + 43 = -i, i - r = 3. Suppose i*f + 5*f - 312 = 0. Factor f*w**3 + 30*w**2 + 6 + 10*w + 4*w + 8*w**4 - 4. 2*(w + 1)**3*(4*w + 1) Let z be 1/(1/12)*353/2118. Suppose -2/15*n**3 + 24/5*n + 4/5*n**z + 16/3 = 0. What is n? -2, 10 Let f(r) be the third derivative of r**5/75 + 29*r**4/5 - 70*r**3/3 - 4909*r**2. Factor f(m). 4*(m - 1)*(m + 175)/5 Let i(t) be the first derivative of t**5/230 + t**4/2 + 23*t**3 + 529*t**2 - 34*t - 21. Let c(x) be the first derivative of i(x). Solve c(d) = 0. -23 Let m(i) be the third derivative of i**10/75600 + i**9/12600 - i**8/1680 - 31*i**4/24 + 90*i**2. Let d(p) be the second derivative of m(p). Factor d(o). 2*o**3*(o - 2)*(o + 5)/5 Suppose 3*m = 2*g + 6*m - 15, 3*g - 2*m - 3 = 0. Suppose -o = g*o - 80. Find v such that o*v - 2*v**2 - 24*v + 6 - 8 = 0. -1 Let c(j) be the third derivative of 2/7*j**3 - 89*j**2 + 1/21*j**5 - 1/6*j**4 + 0 + 0*j - 1/210*j**6. Determine g so that c(g) = 0. 1, 3 Let a(j) be the second derivative of -j**5 + 206*j**4/3 - 82*j**3/3 + j + 1. Factor a(q). -4*q*(q - 41)*(5*q - 1) Let a(d) = 110*d + 4. Let x be a(0). Let p(s) be the second derivative of -9/2*s**2 - 5*s - 1/4*s**x - 2*s**3 + 0. What is h in p(h) = 0? -3, -1 Let q(c) = c**3 + 64*c**2 + 143*c + 72. Let z(k) = k**3 - 3*k**2. Let p(x) = 2*q(x) - 4*z(x). What is t in p(t) = 0? -1, 72 Suppose -n = 4*n - 4*k - 50, 2*n - 20 = 2*k. Determine b so that 3*b - 2*b**4 - 7*b - 9*b**2 - 6*b + 3*b**2 + 8 + n*b**3 = 0. -1, 1, 4 Let w = -18164 - -18169. Let k(h) be the third derivative of 0*h**3 + 19*h**2 + 0 + 1/15*h**w + 0*h + 1/3*h**4. Find x, given that k(x) = 0. -2, 0 Let r = 13852668/2852017 - 2/407431. Solve -34/7*b**3 + 0 - 2/7*b**5 + r*b**2 - 12/7*b + 2*b**4 = 0 for b. 0, 1, 2, 3 Let c be 2/(2/131) + -1 + -1. Determine x so that 590*x + 2*x**3 + 1323 + 33*x + 191*x + c*x**2 + 635*x + x**3 = 0. -21, -1 Let o be (12/35)/(140 - (-47922)/(-343)). What is t in -16/15*t - o + 4/3*t**2 + 16/15*t**3 - 2/15*t**4 = 0? -1, 1, 9 Let z(g) be the first derivative of -g**3/7 + 153*g**2/14 - 222*g - 4965. Let z(p) = 0. What is p? 14, 37 Let j = 417905 - 417902. Factor 0 - 8/3*v - 2*v**2 + 2/3*v**j. 2*v*(v - 4)*(v + 1)/3 Let i(q) be the third derivative of -5/24*q**4 + 87*q**2 + 1/15*q**5 + 0 + 1/3*q**3 + 0*q - 1/120*q**6. Factor i(r). -(r - 2)*(r - 1)**2 Let r(o) be the third derivative of 59/96*o**4 - 1/120*o**6 + 0*o + 57*o**2 + 0 + 1/2*o**3 + 43/240*o**5. Factor r(m). -(m - 12)*(m + 1)*(4*m + 1)/4 Let k(x) be the second derivative of 2*x**6/135 + x**5/60 - 5*x
{ "pile_set_name": "DM Mathematics" }
etermine p(m). -30 Let d(g) be the second derivative of g**5/20 + g**4/4 - g**3/3 + g**2 - 112*g. Let k(b) = -b**3 - 4*b**2 - 3*b - 4. Let h be k(-3). What is d(h)? -6 Let l = 1 + -5. Let g(r) = -277 + 67 + r**3 + 2*r + 4*r**2 + 209. Calculate g(l). -9 Let d(g) = -2*g**3 + 15*g**2 + 16*g - 18. Let a(s) = -3*s**3 + 22*s**2 + 24*s - 27. Let z(u) = 5*a(u) - 7*d(u). Suppose 32 = 5*n + 2. What is z(n)? 3 Let s(a) = -a**3 - 10*a**2 - 8*a + 5. Let r(m) be the third derivative of -m**5/30 + 5*m**4/6 + 13*m**3/6 + 41*m**2. Let c be r(11). Give s(c). -4 Let a(n) = 2*n**3 - 5*n**2 + 4*n + 2. Let u be -2 - (34/(-102))/((-2)/(-24)). Calculate a(u). 6 Let l(f) be the third derivative of -f**5/40 - f**4/8 + 7*f**3/6 + f**2 - 3. Let t(a) be the first derivative of l(a). What is t(-3)? 6 Suppose 4*f - 2*l + 4*l - 50 = 0, 5*l = f - 7. Let b(g) = f - 2*g + 3*g - 2 + 0. Let y be -2*(-2)/(-4) - -1. What is b(y)? 10 Let y be -3*(10/6 + 3 + -7). Let w(t) = 13 - t**2 - 9 + 10*t - y - 6. Calculate w(9). 0 Let d(k) = k**2 + 6*k - 11. Let h be d(-6). Let x = 14 + h. Let i(q) = -x*q - 4 + 2*q + 0*q. Determine i(-4). 0 Let t(v) = -3 - 1 - 7*v + 15*v - 10*v. Suppose -h = -2 + 7. What is t(h)? 6 Let h(i) = i**2 + 7*i - 1. Suppose 0 = -14*z - 64 + 8. Give h(z). -13 Let z(j) = -5*j + 2. Let b be 2 + 4/(-2) - 2. Let o = 73 - 71. Let t be (o - (-3)/b)*-4. Give z(t). 12 Let o(n) = 3*n + 6. Let t(r) = 13*r + 25. Let m(a) = 9*o(a) - 2*t(a). Let v(k) = 10*k - 10*k + 4 + 0*k**3 + k**3. Let i be v(0). What is m(i)? 8 Let l(u) = -8*u**3 - 12*u**2 - 15*u - 3. Let y(n) = 3*n**3 - n**2 - 1. Let w(d) = l(d) + 3*y(d). Determine w(16). 10 Let y(h) = h + 4. Suppose 0 = -4*n + 4, -5*q - 2*n = -6*n - 11. Suppose 24 = -0*b - 4*b + 2*o, 0 = 5*b + q*o + 8. Determine y(b). 0 Let i(k) = -k - 6. Let y(m) = -6*m + 126. Let x be y(21). Let b = 1 + -1. Suppose x*j + j = b. Determine i(j). -6 Let o(k) = -4 + k**2 - k**3 + 3 + k**2. Suppose 2*c + c = -9. Let t = -4 - c. What is o(t)? 2 Let x(i) be the first derivative of -i**2/2 - 4*i + 1. Let s = 24 + -14. Suppose -s*q - 33 = q. Determine x(q). -1 Suppose -o + 2*w + 37 = 0, -4*o + 0*w - 3*w = -170. Suppose 4*x + o = 5*y, 4*x + 15 = 3*y - 16. Let v(k) = -3*k - 3. What is v(y)? -18 Let u(p) be the second derivative of -11*p**3/3 - 3*p**2/2 - 487*p. Determine u(-2). 41 Let c(z) = z**3 - 15*z**2 + 15*z + 7. Suppose 0 = -b - 20 + 34. Calculate c(b). 21 Let k(i) = -2*i**3 - 11*i**2 + 11*i - 7. Let y(r) = r**3 + 6*r**2 - 6*r + 4. Let u(v) = -3*k(v) - 7*y(v). Calculate u(-10). 3 Suppose 4*t + a - 23 = 17, -3*a + 12 = 0. Let j(z) = -2*z**2 + 10*z + 12. Give j(t). -60 Let b be 3/(-7) + (-143)/(-7). Suppose 0 = 5*d - g - 4*g - b, -2*d + g = -9. Let t(u) = -u**2 + 2*u + 4. Determine t(d). -11 Let r(d) = -6*d**2 - 43*d - 10. Let p(q) = 7*q**2 + 51*q + 12. Let n(x) = 5*p(x) + 6*r(x). Determine n(-1). 2 Let d(n) = -4*n**3 - 21*n**2 - 10*n + 65. Let b(k) = 2*k**3 + 10*k**2 + 5*k - 30. Let g(a) = -13*b(a) - 6*d(a). Determine g(-2). 10 Let h(l) = 16 - 20 + l + 11. What is h(0)? 7 Let f(t) = 3 + 0 - 4 - t. Let n = 38 - 33. Let o(l) = -l**3 + 6*l**2 - 5*l - 2. Let d be o(n). Determine f(d). 1 Let w = 66 + -58. Let s(p) = p**2 - 12*p + 11. Calculate s(w). -21 Let c = -12 - -17. Suppose -c*y + 2*y = 18. Let u(r) be the third derivative of -r**6/120 - 7*r**5/60 - r**4/3 - r**3/6 - 4*r**2. Determine u(y). 11 Let o(i) = i - 6. Let y(m) = m - 7. Let d(h) = -6*o(h) + 5*y(h). Let u be (6/4)/(312/1008 - (-2)/(-21)). Give d(u). -6 Let v(d) = d**3 - 4*d**2 + d + 3. Suppose -m = -5*i - 19, 4*m + 2*i + 7 = 17. Let t be v(m). Let x(y) = y**2 - 8*y + 1. What is x(t)? -6 Let h(b) be the third derivative of -b**5/60 - 7*b**4/24 + 22*b**2. Let a be (54/(-45))/((-9)/(-30)). Determine h(a). 12 Suppose 4*s - 3*k - 8 = 2*s, 5*s - 20 = 4*k. Let n(h) = 2*h - 5. Let l be n(s). Let g(v) = 0 - 1 - 5*v**3 - 3*v + 5*v**2 + 0*v**3 + 4*v**3. What is g(l)? 8 Suppose -2*n = -8*n + 30. Let f(k) = k**3 - 6*k**2 + k + 13. Let o be f(n). Let p(c) = c**2 + 6*c - 10. What is p(o)? -3 Let h(n) = -2*n**2 + 4*n + 1. Let i(c) = c**2 - 6*c - 2. Let v(q) = -4*h(q) - 3*i(q). Calculate v(-2). 18 Let u be 3 + (-137)/15 + 4/30. Let d(w) be the third derivative of -w**4/24 + w**3/6 - 4*w**2. What is d(u)? 7 Let h = 1 + 0. Suppose -3*g = -o - 4*g, -4*o + 4*g = -24. Let c(v) = 22*v**o - 1 + 1258*v - 1258*v - 7*v**3. What is c(h)? 14 Let j(m) be the second derivative of m**5/20 + m**4/2 + m**3 + m**2 + 3*m. Let z be j(-3). Let l(k) = 0*k + z*k + k. Give l(-1). -12 Let j(t) = 3*t**2 + 4*t + 3. Suppose 7*q - 23 = 6*q. Let b = -23 + q. Suppose -w - 4*o - 22 = b, -23 - 12 = 5*w + 5*o. Calculate j(w). 7 Let z(b) = -b**2 + 16*b + 14. Let h be z(17). Let d(v) be the first derivative of 3*v + 1/2*v**2 + 3. Determine d(h). 0 Suppose 3*p = 7*p. Let r(s) = -s + 7 + p*s + 0*s - s. Determine r(5). -3 Let a = -18 - -21. Let t(g) = -4*g + 4*g + a - g + 4*g. Let q = -1 + -3. Calculate t(q). -9 Suppose 40*b - 12 = 44*b. Let h(j) be the second derivative of j**4/12 + j**3/6 + 3*j**2/2 + j. Determine h(b). 9 Let g(z) = -z**2 - 14*z - 8. Let v(k) = 3*k + 71. Let n be v(-28). Determine g(n). 5 Let k(i) = 12*i**2 - 2*i - 1. Suppose 0 = 2*y - 2*g + 2, 15 = -4*y + 3*g + 11. What is k(y)? 13 Let o(l) be the third derivative of -2*l**2 + 0 + 0*l + 1/24*l**5 + l**3 - 1/360*l**6 - 5/24*l**4. Let c(i) be the first derivative of o(i). Give c(5). -5 Let l(b) be the first derivative of -36 - 1/2*b**2 + 7*b. Determine l(3). 4 Let w(d) = 0*d**2 + 1 + 2 - d**2 - 3*d**3 + 4*d**3. Suppose 2*c - 5*b = 25, 65*c = 66*c - 3*b - 15. Calculate w(c). 3 Let d(w) = -6*w - 3 + 21 + 7*w. What is d(-6)? 12 Let y(j) = j**3 - 5*j**2 - 3*j - 9. Let f be y(6). Let t(v) = -4*v + f + v**2 + 5*v + 6*v. Calculate t(-6). 3 Let k = 258 + -23. Let u(y) = 117 - 8*y + 117 - k. Calculate u(-2). 15 Let a be -2 - 0/(-2) - -2. Suppose -3*w + 0*b = -4*b + 1, -5*w = -3*b - 2. Suppose -3*i + 6*i + 4*m + w = a, 5*i + 5*m = 0. Let u(t) = -4*t + 1. Calculate u(i). -3 Let k(y) = -14*y**2 + 11*y - 28. Let q(u) = 5*u**2 - 4*u + 9. Let a(d) = -4*k(d) - 11*q(d). Let p = 318 - 318. What is a(p)? 13 Let y(j) = 0*j**2 - 693 + 20*j - 2*j**2 + 682. Determine y(8). 21 Let g(w) = -2*w**3 + 2*w**2 + w + 1. Let j(i) = -3*i**2 + 98*i**3 + 0 + 1 - 2*i - 95*i**3 - 2. Let d(s) = 8*g(s) + 5*j(s). Calculate d(2). -5 Let f(x) = x**3 + 39*x**2 + 200*x + 73. Let i be f(-33). Let m(p) = -p**3 + 5*p**2 + 12*p + 10. What is m(i)? -4 Let o(b) = -8*b**2 - 12 + 16 - 1 - 12*b + b**2 - b**3 - 13. Determine o(-5). 0 Let o(n) = n**2 - 8*n + 3. Let l be o(6). Let t = l + 4. Let v(g) = -4*g. Let s(m) = m - 1. Let u(k) = -2*s(k) - v(k). Determine u(t). -8 Let w(u) be the third derivative of u**6/360 + u**5/24 + 5*u**4/24 - 5*u**3/3 + u**2. Let y(m) be the first derivative of w(m). Give y(-5). 5 Let w = -19 + 35. Let t(z) = 5*z - w*z - 2*z. What is t(-1)? 13 Suppose -7 = -4*k + 1. Let a = -6 + k. Let x(w) = -17*w**2 - 21*w + 23. Let t(i) = -8*i**2 - 10*i + 11. Let l(n) = 13*t(n) - 6*x(n). Calculate l(a). -11 Let j(w) = -3*w**2 + 43*w + 32. Let g be j(15). Let c(a) = 6*a - 16. Calculate c(g). -4 Let b(m) = m**2. Let c be b(2). Let v(p) be the second derivative of p**5/20 - p**4/2 + 2*p**3/3 - 3*p**2 + 4*p. Calculate v(c). -22 Let r(x) = -x**2 - 4*x - 5. Let w = -77 - -73. Give r(w). -5 Let c = -39 - -45. Let f(j) = j**3 - 5*j**2 - 4*j - 6. What is f(c)? 6 Suppose -4*h + 3*h = 0. Let i(s) = h - 2*s - 1 + 13*s. Let a be 1620/1740 - 2/(-29). Calculate i(a). 10 Let n(b) = -2826*b + 2825*b - 10 + 8 - 4*b**2. What is n(-2)? -16 Let z(i) = -5*i - 13. Let d(w) = 5*w + 15. Let j(m) = -5*d(m) - 6*z(m). Let b(r) = -3*r**2 + r + 2. Let c be b(-1). Determine j(c). -7 Let f(h) = h**2 - 7*h + 6. Let d be f(5). Let b(i) = 783 - 383 + i - 398. Give b(d). -2 Let m(o) = o**2 - o - 7. Let l be m(4). Let a(v) = 4 - 1 - 3 + l*v. Determine a(-2). -10 Let i(t) = -7*t + 3. Suppose 5*d + 0*d + 35 = 0. Let s(w) = -15*w + 7. Let n(u) = d*i(u) + 3*s(u). Let c = 51 + -53. What is n(c)? -8 Suppose -5*r + 18 = 4*m - 3*r, 5*m - 6 = 3*r. Let s(f) = -3*f**3 - 2*f**2 - 5. Let g(c) = -5*c**3 - 4*c**2 - 9. Let z(n) = 4*g(n) - 7*s(n). Calculate z(m). 8 Let c(q) = 2*q - 27. Let t(s) = -3*s + 25. Let i(a) = 5*c(a) + 4*t(a). What is i(-15)? -5 Let y(q) = 4*q + 19. Let
{ "pile_set_name": "DM Mathematics" }
+ 24 = 0, -3*m = n - 2*m - 8. What is the units digit of n? 2 Suppose 3*r = c + 4514, 4*c + 1509 = r + 8*c. What is the tens digit of r? 0 Suppose -42*b + 52141 = -25475. What is the tens digit of b? 4 Suppose -2*c = -4*c + 78. Let b = 19 + c. Suppose p = 3, -3*q - 5*p - b = -154. What is the tens digit of q? 2 Suppose 0 = -0*k - 3*k + s - 45, -2*s - 50 = 4*k. What is the units digit of (936/40)/(1 - k/(-20))? 8 What is the thousands digit of 0 + 5629 - (1 + 2 - 4)? 5 Suppose a + 5 = 0, -65*c - 2*a - 20774 = -69*c. What is the thousands digit of c? 5 Let d be (-108)/(-26) + (-6)/39. Suppose d = -4*p - 0. Let i(s) = -12*s + 1. What is the units digit of i(p)? 3 Suppose 0 = 2*r - 156 - 74. Suppose 4*w + 149 = -r. Let s = w - -125. What is the units digit of s? 9 Let c = 0 - 0. Let w(u) = u**3 + 21*u**2 - 2*u - 42. Let y be w(-21). Suppose -5*p - q + 197 = c, 4*p - 8*q + 3*q - 175 = y. What is the units digit of p? 0 Let p(s) = -3*s + 47. What is the tens digit of p(-19)? 0 Suppose -2*p + 2 = -2*c, -2*c + 5*p = -5*c - 19. What is the tens digit of (-46)/(-1) + 3 + c? 4 Let i(g) = 4*g**2 + 3*g - 3. Let t be i(-3). Let d be (-200)/(-6)*(-36)/t. What is the units digit of (d/(-6))/(3/9)? 5 Let j(r) = 4 + 6*r - 5 + 5 + 2*r**2 + 1. Let c be j(-3). Suppose -c*x - f + 119 = 0, -5*x + 3*f + 85 = -18. What is the units digit of x? 3 Let j(x) = x**3 - 4*x**2 + x + 7. Let o(b) = -b**3 + 4*b**2 - b - 7. Let z(f) = -3*j(f) - 2*o(f). What is the hundreds digit of z(-4)? 1 Suppose 0 = -2*b + 2*a + 548 + 134, -2*a + 1033 = 3*b. What is the hundreds digit of b? 3 Suppose 0 = -19*w - 1305 + 34593. What is the tens digit of w? 5 Suppose -w + 683 = 2*n, -16*w = 5*n - 21*w - 1715. What is the units digit of n? 2 What is the units digit of (60/8 - 6)*132? 8 Let h(s) = -3*s**2 + 12*s + 5. Let k(c) = -c**2 + c - 1. Let b(n) = h(n) - 5*k(n). What is the units digit of b(4)? 0 Suppose 5*m - 26 - 19 = 0. Let d be (132/20)/(3/45). Suppose 5*c + m = d. What is the units digit of c? 8 Suppose 17 = 4*j - 3, j + 1 = -3*o. Let l(u) = 10*u**2 + 2*u - 1. Let k(q) = -q**2. Let c(a) = 3*k(a) + l(a). What is the tens digit of c(o)? 2 Suppose 0 = 68*r - 64*r - 12. Suppose 0 = -3*h + r*a + 594, 5*h - 3*a - 788 = h. What is the hundreds digit of h? 1 Let z be (-39 - (1 - 4))*-4. Suppose -6*f + z = -0*f. What is the units digit of f? 4 Suppose -4*r = 0, c - 3*c - 4*r = 216. Let a = -55 - c. What is the tens digit of a? 5 Let s(p) = -2*p + 11. Suppose 8*k = 3*k. Let z be s(k). Suppose -h = -z + 9. What is the units digit of h? 2 Let i = 8 + -6. Let p be i/(-3 + 95/31). Let w = p + -18. What is the units digit of w? 3 Suppose 11*n = 15*n - 12. Suppose 4*v - 5*v + n*k + 63 = 0, 3*v - 133 = -5*k. What is the tens digit of v? 5 Suppose 58 = 5*l - 62. Suppose 6*p = 12 + l. Suppose -2*y + 5*x + 59 = p, -70 = -3*y - 2*x. What is the tens digit of y? 2 Let d be (48/(-7))/(1/(-7)). Suppose c - 7 = -d. What is the tens digit of (c + -4)/((-3)/2)? 3 Let q = 14 + 30. Let s(x) = 10*x + 0*x**2 + q - 31 - x**2. What is the units digit of s(9)? 2 Let v = 163 - -29. Let r = v - 65. Let w = 182 - r. What is the units digit of w? 5 Let z = 66 + -63. Suppose 0 = -z*c + 424 - 82. What is the units digit of c? 4 Suppose -837 = -3*x + 3*p, 2*p - 30 = -3*x + 792. What is the tens digit of x? 7 Let y = -6 + 73. Let n = y + -51. What is the tens digit of n? 1 Let r be 37/2*(-2)/(-3)*108. Suppose -r + 279 = -9*u. What is the hundreds digit of u? 1 Let h(t) = 113*t**2 + 6*t + 11. What is the units digit of h(-2)? 1 Let o(v) be the second derivative of v**5/10 - v**4/3 + v**3/3 - 2*v**2 + 5*v. What is the tens digit of o(3)? 2 What is the tens digit of (-57)/(-152) + (-8714)/(-16)? 4 Let b be (-42)/12*(-12)/7. Let k(p) = p**3 + p**2 - p. Let w(v) = 4*v**3 - 3*v**2 - 4*v. Let r(t) = 3*k(t) - w(t). What is the units digit of r(b)? 6 Let a(d) = 3*d**2 + 13*d - 4. Suppose 2*x = 7*x. Suppose 2*p = 4*s, p + x*s + 15 = -3*s. What is the tens digit of a(p)? 2 Let y = -155 + 284. Suppose 5*s - 46 = y. Let d = s + -14. What is the units digit of d? 1 Let y be -1 - ((-2566)/2 + -4). Suppose 0 = -3*d - 455 + y. What is the units digit of d? 7 Let r(t) be the first derivative of t**2 - 13*t - 3. Let a be r(6). What is the units digit of (7 - 1)/(a/(-6))? 6 Let g(v) be the third derivative of 7*v**5/12 + v**4/8 - v**3/2 - 44*v**2. What is the tens digit of g(2)? 4 Let l(h) be the third derivative of h**6/360 + h**5/60 + h**4/6 - 5*h**3/6 + 2*h**2. Let a(n) be the first derivative of l(n). What is the units digit of a(-6)? 8 Let q be (-4)/(5/(-10)*8). What is the tens digit of 53 + q/1 + -1? 5 Let x = 8 - -12. Suppose 0*k - 4*k + x = 0. Suppose -k*a + 56 + 120 = 3*m, -2*a = -m + 44. What is the units digit of m? 2 Let j = 20 - -9. Suppose -2*m + j + 65 = 0. What is the tens digit of m? 4 Suppose 2*c - 128 = -0*c + 4*t, 3*c + 2*t = 192. Suppose 66*d - 316 = c*d. What is the hundreds digit of d? 1 Suppose -12 = -4*g, z + 0 = g - 3. Let n = 3 + z. Suppose -h + 1 + n = 0, 3*p - h - 98 = 0. What is the units digit of p? 4 Suppose 0 = 2*o + 5*b - 633, -4*o = 2*b - 1198 - 76. What is the hundreds digit of o? 3 Suppose -5 = -2*h - q + 5, 4*q = 3*h - 37. Suppose n + 4 = -5*r, -2*n = -2*r + 3*n - h. What is the units digit of r/((-2)/14 + 0)? 7 Let g = 10 - 7. Suppose -2*j = -g - 3. What is the tens digit of (3/(-9))/(j/(-135))? 1 What is the tens digit of (1 - -335) + (-60)/(-10)? 4 Let l(i) = -32*i**3 - i**2. Let r be l(1). Let q = -16 - r. What is the tens digit of q? 1 Let o(j) = -165*j**3 - j**2 + 1. Let g be o(1). Let d = g + 244. What is the units digit of d? 9 Let r = -2441 - -4406. What is the tens digit of r? 6 Let f(x) = 42*x**2 + x - 40. What is the thousands digit of f(-11)? 5 Let z = 5885 + -764. What is the thousands digit of z? 5 Let z(d) = -2 + 4 + 0 - 1. Let p(w) = 3*w + 9. Let o(f) = -p(f) + 2*z(f). What is the units digit of o(-4)? 5 Let p = 2274 - 371. What is the units digit of p? 3 Let l(h) = -3*h**3 - 6*h**2 - h - 6. What is the tens digit of l(-4)? 9 Let m = -109 + 719. Suppose 0*j = 5*j - m. What is the tens digit of j? 2 Let z(b) = -7*b + 25. Let m(l) = -5*l + 26. Let p(v) = 3*m(v) - 2*z(v). What is the units digit of p(-8)? 6 Let w(a) = a**3 + 12*a**2 + 2*a + 17. Let f be w(-12). Let d(y) = -y**3 - 7*y**2 + 6*y - 7. Let l be d(f). Let p = l - -83. What is the tens digit of p? 3 Suppose -36 = 79*k - 91*k. Let r(x) = 37*x**2 - 1. Let i be r(1). Suppose -k*f + i = -0*f. What is the units digit of f? 2 Let h = 29 - 11. Let r = h - 14. Suppose -w = k - 4 - 1, -k = -r*w + 15. What is the units digit of w? 4 Suppose -2*r - 15*s = -11*s - 5118, 0 = -3*r - 2*s + 7669. What is the tens digit of r? 5 Let v(c) = 2019*c + 114. What is the thousands digit of v(1)? 2 Let d(x) = 3 + 21*x**2 - 37*x**2 - 3*x + 18*x**2. What is the units digit of d(-5)? 8 Suppose 47*u = 19967 + 25858. What is the tens digit of u? 7 Suppose -4 = -i - 5*f - 1, 4*f + 24 = -2*i. Let v = i + 10. Let g(p) = -p**3 - 11*p**2 + 9*p - 3. What is the units digit of g(v)? 3 Let c(s) = -s**3 - 9*s**2 + 10*s + 2. Let t be c(-11). Suppose 0 = 4*j + 2*x - 132 - 130, 2*x = 2*j - t. What is the units digit of j? 6 Suppose 1860*t - 1867*t = -13874. What is the tens digit of t? 8 Suppose -106 = -5*h + 2*v, 3*h - 95 = -h + 5*v. Suppose -2*s - h + 98 = 0. What is the tens digit of s? 3 Let z = -50 + 62. Let k(c) = 10*c - 1. What is the tens digit of k(z)? 1 Let l be ((-4)/(-10))/(5 - (-7956)/(-1590)). What is the tens digit of (-2)/(-4) + (l/(-4) - -1)? 2 Let o be 4/18 - (-1064)/72. Let v be (-1036)/105 - 2/o. What is the units digit of (-60)/v + 2 + 1? 9 Suppose 17 = 3*d - 7. Suppose -s = -3*f - 2, 2*f + d = 5*s - s. Suppose -s*w + 58 = 4*i + 2, -4*i = 0. What is the tens digit of w? 2 Let q = -6 - -6. Suppose q = 11*j - 6*j - 350. Suppose -2*t + 44 + 2 = -x, -2*t + j = 5*x. What is the tens digit of t? 2 Suppose t = -2*t + 15. Suppose t*p = 5*i - 490, -i - 2*p + 192 = i. What is the units digit of i? 7 Suppose 4*l + 268 = -776. Let t = l + 373. What is the hundreds digit of t? 1 Let l = 22 - 15. Let z = l - 7. Suppose -h + 40 - 5 = z. What is the tens digit of h? 3 What is the hundreds digit of 1215/54*(-2)/12*-28? 1 Suppose -45 = -5*c + a, 4 = 2*c - 3*a - 1. Let
{ "pile_set_name": "DM Mathematics" }
) - (sqrt(104) + (sqrt(104) - sqrt(104)*2))))))*3)/((sqrt(8064)*2)/sqrt(7)) + 4. 4 Simplify (sqrt(8)*2*1)/(sqrt(144)*-5). -sqrt(2)/15 Simplify ((2*sqrt(200)*6 - (-2*sqrt(200) + 3))*-2 + 5)**2. -6160*sqrt(2) + 156921 Simplify (sqrt(720)*2 - sqrt(720))/(sqrt(20)/(sqrt(20)/sqrt(4))) - (-2*(0 + sqrt(80)))**2*-2. 6*sqrt(5) + 640 Simplify (sqrt(240)*1 + sqrt(75)/(sqrt(15)/sqrt(3)))/(sqrt(45)/(sqrt(72)/(sqrt(128) + sqrt(8)))). sqrt(3) Simplify ((1*sqrt(4800) + sqrt(4800))*-4 - (sqrt(4800) + sqrt(4800)*-4 + 0))**2. 120000 Simplify (sqrt(432) + (sqrt(432) - (2*sqrt(432) + sqrt(432)))*5)/(-2*1*sqrt(6) + (sqrt(294)*1 - sqrt(294))). 27*sqrt(2) Simplify (5*(sqrt(450)*-3 + 5)*-6)**2. -405000*sqrt(2) + 3667500 Simplify 4*sqrt(304)*2 - sqrt(304) - (sqrt(2299) - (sqrt(2299) + -2 + sqrt(2299) + 0)**2). -71*sqrt(19) + 9200 Simplify ((sqrt(11)*-2 + -5)*-3)**2*3 + (sqrt(55)/(-6*sqrt(15)/sqrt(3))*-2)**2. 540*sqrt(11) + 16778/9 Simplify (sqrt(114) + (sqrt(114) - 6*sqrt(114)*-1) + (sqrt(114) - (sqrt(114) - 2*(sqrt(114) + sqrt(114)*-2 - sqrt(114)))))/(-2*sqrt(726)*6). -sqrt(19)/33 Simplify (-4 + 1*sqrt(684) - ((sqrt(684)*-1 - sqrt(684) - sqrt(684)) + sqrt(684))*-3)**2 + -3. 240*sqrt(19) + 17113 Simplify (-3 + ((sqrt(304) + 4 + -2*sqrt(304))*1 - ((sqrt(304) + (sqrt(304) - 3*(1 + sqrt(304))) - sqrt(304)) + 2)))**2. 16*sqrt(19) + 308 Simplify sqrt(44)/(sqrt(16)*1) - (sqrt(704) + sqrt(704)*1 - sqrt(704))/sqrt(4). -7*sqrt(11)/2 Simplify ((sqrt(825) - (-1*sqrt(825) + sqrt(825) + sqrt(825) + sqrt(825))*-3)/((sqrt(11) - 2*sqrt(176) - sqrt(11))*-4))**2. 3675/1024 Simplify 1 + sqrt(15)/(4*sqrt(605) + sqrt(605)) + 4. sqrt(3)/55 + 5 Simplify 3*((-3*(sqrt(243)*1 + 5 - (-3*2*sqrt(243) - sqrt(243))))**2 + 0). 19440*sqrt(3) + 420579 Simplify 2*((1 + sqrt(98) + 0 - -3*(-1 + sqrt(98))**2) + 4). -70*sqrt(2) + 604 Simplify -2*(sqrt(242) + -3) + sqrt(242) + (sqrt(242) + 0 + 3)**2. 55*sqrt(2) + 257 Simplify ((sqrt(1872) + (sqrt(1872) - (2 + sqrt(1872)) - sqrt(1872))**2)*4 + 0)*6. 1440*sqrt(13) + 45024 Simplify -4 + ((sqrt(209) - 1*sqrt(209))/sqrt(11) + sqrt(19) + 4 - (sqrt(76) + sqrt(76) + 0 + -2))**2. -36*sqrt(19) + 203 Simplify -2*sqrt(22)/(sqrt(77)/sqrt(112))*2. -16*sqrt(2) Simplify (6*2*sqrt(18) - (sqrt(648) - (sqrt(648) - (-2*sqrt(648) - sqrt(648)) - sqrt(648) - sqrt(648) - sqrt(648))))/(2*1*sqrt(96) + sqrt(96) - sqrt(96)). 3*sqrt(3)/2 Simplify (sqrt(91)/(sqrt(21)/sqrt(3)) + (sqrt(143) - (sqrt(143) - -2*sqrt(143) - sqrt(143)))/sqrt(11))**2 - (-2*1*sqrt(65))/sqrt(5). 2*sqrt(13) Simplify 1*4*(sqrt(126)/sqrt(576))/sqrt(2). sqrt(7)/2 Simplify ((sqrt(72) + 2)*6*-4 - (sqrt(8)/(sqrt(4) + (sqrt(16) - sqrt(4)))*2 + 1))**2. 14210*sqrt(2) + 44451 Simplify (-4*(sqrt(180) + 2) - (sqrt(180) + 6*(-2 + sqrt(180)))**2) + -4. -8976 + 984*sqrt(5) Simplify sqrt(44)/(1*sqrt(400)) - (-1 + sqrt(22)/(sqrt(8) + sqrt(2))). -7*sqrt(11)/30 + 1 Simplify (5*-6*(-1 + 1*sqrt(75) + sqrt(75) + -5))**2. -108000*sqrt(3) + 302400 Simplify 1*(-4 + -1 + sqrt(1216)) + (sqrt(1216)*2 + -1)*4. -9 + 72*sqrt(19) Simplify sqrt(200) + 0 - (sqrt(112)/(sqrt(7)*1))/sqrt(8). 9*sqrt(2) Simplify 2*3*(sqrt(288) + (1*(sqrt(288) + 2 + sqrt(288)))**2). 648*sqrt(2) + 6936 Simplify -3*(-2 + sqrt(16)/(sqrt(8) - 2*sqrt(8)) + -5 + 5)**2. -18 - 12*sqrt(2) Simplify ((sqrt(19) + sqrt(304))*3*-6 - 2*sqrt(133)/(sqrt(7)*2)) + 4. -91*sqrt(19) + 4 Simplify ((sqrt(51)*-3)/sqrt(3) + -3 + -4 + 5 + 0)**2. 12*sqrt(17) + 157 Simplify -2 + (-1 + sqrt(117)*-2 + 0)*2. -12*sqrt(13) - 4 Simplify -6*(1*(sqrt(3) + (sqrt(12) - sqrt(3))*6)**2 - (1 + sqrt(300) + -2)**2). -120*sqrt(3) + 924 Simplify (5*sqrt(1900) + sqrt(19) + (sqrt(1216) + -2)**2)*2 + -4. 38*sqrt(19) + 2436 Simplify ((-6*-1*sqrt(88)*1)/(sqrt(24)/sqrt(108)*4))**2. 891 Simplify (-5*(1 + (sqrt(2205) - (sqrt(2205)*-1 - sqrt(2205)))))**2. 3150*sqrt(5) + 496150 Simplify (2*(sqrt(85)/(sqrt(25)/(sqrt(15)/sqrt(3))) + -2 + -3 + -2 + sqrt(17)))**2. -112*sqrt(17) + 468 Simplify -1*(2*sqrt(252)/sqrt(28))/(((sqrt(72) + 2*sqrt(72))/sqrt(6) + sqrt(12))*5). -sqrt(3)/20 Simplify (5*(3 + -1 + -1*sqrt(28))*3)**2. -1800*sqrt(7) + 7200 Simplify -5 + ((sqrt(325) + -1 + (sqrt(325) - (sqrt(325) + -1)) - -2*sqrt(325)*2) + 3*1*sqrt(325) + -4)**2. -320*sqrt(13) + 20811 Simplify -6*(-2 + (sqrt(425)*-1*-6)**2 + (sqrt(425)*1*-5 - sqrt(425))**2) + -1. -183589 Simplify (sqrt(30)/(-3*(sqrt(3) - (sqrt(6)/sqrt(2) + sqrt(3) + sqrt(3)))))/(-6*sqrt(20)/sqrt(4)*4). -sqrt(2)/144 Simplify -3 + sqrt(1053)*1*-2 + 2 + sqrt(1053) + -4. -9*sqrt(13) - 5 Simplify -1 + 1 + -4 + ((sqrt(425) - 1*sqrt(425))**2 + sqrt(425) - sqrt(425)) + -2 + (sqrt(425) - ((0 + sqrt(425))*1)**2). -431 + 5*sqrt(17) Simplify 5 + ((sqrt(833) + 2*sqrt(833) + sqrt(833) + -5 - sqrt(833))**2 + -3)*5. -1050*sqrt(17) + 37600 Simplify -2*sqrt(2)*-2 + 2 + sqrt(6)/(sqrt(33)/(sqrt(11) + sqrt(539))). 2 + 12*sqrt(2) Simplify (-2*(0 + (sqrt(176) - (sqrt(176) - -3*(sqrt(176) + 0)))*2 + -5))**2. 960*sqrt(11) + 25444 Simplify (-1*sqrt(162)*3 - (-1 + sqrt(162)*-3))**2*-2. -2 Simplify (-3*(sqrt(20) - sqrt(40)/sqrt(2)) + -1*sqrt(1620))/(sqrt(120)/(sqrt(12) + (sqrt(12) - (sqrt(1452) + (sqrt(1452) - (sqrt(1452)*2 - sqrt(1452))))))). 81*sqrt(2) Simplify (-1*(-4*(sqrt(78)*1 + sqrt(78)))/(-4*sqrt(6)*-2))**2. 13 Simplify ((sqrt(18) - -2*sqrt(1800))/((sqrt(48)/sqrt(2))/sqrt(4)))**2*6. 7938 Simplify ((sqrt(22)/sqrt(2) + 3 - -1*-1*sqrt(11))*-3*2)**2. 324 Simplify ((sqrt(3500) + sqrt(3500) + -2*sqrt(3500) + sqrt(3500))*2)/(-2*sqrt(35)/sqrt(5) - (1*sqrt(63) - sqrt(63))/sqrt(9)). -10*sqrt(5) Simplify 4 + (5 + sqrt(4)/sqrt(2) - (sqrt(72)*-2)**2) + -1 + (sqrt(72) + 1*sqrt(72) + sqrt(72))**2. sqrt(2) + 368 Simplify ((((sqrt(1053) - 1*sqrt(1053)) + 1)*1*-3)**2 + 5)*2. 28 Simplify -3 + (-3 + 4 + sqrt(245))**2 + -1. 14*sqrt(5) + 242 Simplify ((sqrt(13) - sqrt(104)/(-3*sqrt(8))) + sqrt(832)*1 + 2)**2. 112*sqrt(13)/3 + 10228/9 Simplify -4 + 4 + sqrt(16)/sqrt(72) + (sqrt(90)/sqrt(5) + (2*sqrt(18))/sqrt(9))**2. sqrt(2)/3 + 50 Simplify (6*sqrt(880) + 2*sqrt(1980) + sqrt(1980))/(sqrt(405)*1*3 + sqrt(405)). 7*sqrt(11)/6 Simplify (((sqrt(66)*-1 - sqrt(66)) + sqrt(66))/sqrt(6) - (-2 + (sqrt(11) - (sqrt(11) + 1))**2)) + 2 + 2*(sqrt(11) + 0). 3 + sqrt(11) Simplify (sqrt(832)*2 + (sqrt(117) - (sqrt(117) + -1)))**2 + (-1*sqrt(1300))**2*6. 32*sqrt(13) + 11129 Simplify ((-2*sqrt(63))**2 + -3 + (-1 + sqrt(112) - -1*sqrt(28)/sqrt(4)))*2*2. 20*sqrt(7) + 992 Simplify 4*(sqrt(7) + (sqrt(7) + 1)**2 + -1) + -2 + (sqrt(112) - (-2 + sqrt(112) + 3 + sqrt(112)))**2 + 5. 20*sqrt(7) + 144 Simplify (-6*sqrt(480)*-2*-6)/(sqrt(90) + -1*sqrt(90)*-1). -48*sqrt(3) Simplify (-4*6*sqrt(48)/sqrt(4))/(sqrt(294)*-2*3). 4*sqrt(2)/7 Simplify 0 + ((sqrt(187) + ((sqrt(187)*-1 - sqrt(187))*1 - sqrt(187) - sqrt(187)))/(sqrt(1100) - (sqrt(1100) - sqrt(1100)*3)))**2 + 5. 517/100 Simplify ((sqrt(343) + 1)*-6)**2 + sqrt(343) + sqrt(343) + -6*(sqrt(343) - (1 + sqrt(343)))**2. 518*sqrt(7) + 12378 Simplify -3 + (sqrt(605) + 0 + 0 - sqrt(605) - -2*((sqrt(605) - (sqrt(605)*-2)**2) + sqrt(605) + sqrt(605))) + 1. -4842 + 66*sqrt(5) Simplify ((4 + (sqrt(1900) - sqrt(1900)*-2) + 3 + 0 + sqrt(1900) + -1 + -1)*-1)**2. 400*sqrt(19) + 30425 Simplify 5 + sqrt(125)*3 + sqrt(5) + sqrt(50)/(sqrt(10) + sqrt(80)/sqrt(8)). 5 + 33*sqrt(5)/2 Simplify (sqrt(50)/sqrt(5))/sqrt(5) + 1 + 1*(sqrt(32) + 2)**2. 17*sqrt(2) + 37 Simplify -6*((1*(sqrt(336) + (sqrt(336) - sqrt(336)*1) - sqrt(336)))/sqrt(12) + 2)*-6. 72 Simplify ((sqrt(684) - (0 + sqrt(684) + sqrt(684))*-6) + 6*(sqrt(684)*1 - sqrt(684)))**2 + -2. 115594 Simplify (sqrt(2160)/sqrt(12)*-6 + -2*sqrt(80) + 4)**2. -352*sqrt(5) + 9696 Simplify (sqrt(56) + sqrt(56) + (sqrt(448)*4 - sqrt(448))/sqrt(8))/(5*-3*sqrt(8) + sqrt(8) - sqrt(8)). -sqrt(7)/3 Simplify (-5*-2*sqrt(187))/(sqrt(176)*1 - sqrt(11)) + 3 + -1. 2 + 10*sqrt(17)/3 Simplify -3*(sqrt(162) + 1*sqrt(162)) + sqrt(24)/(-2*sqrt(300)). -541*sqrt(2)/10 Simplify 1*sqrt(2)*2 + sqrt(2) - (sqrt(2) + -5*(sqrt(2) + -1)) - (sqrt(98)*-2)**2*5. -1965 + 7*sqrt(2) Simplify -3*-6*((-4 + 2*sqrt(320))**2 - (sqrt(320) + sqrt(320)*-1*6)**2). -120672 - 2304*sqrt(5) Simplify ((sqrt(484) - ((sqrt(484) - (-2*sqrt(484) + sqrt(484))) + sqrt(484)))*-1*3)/(sqrt(704)/sqrt(4) - sqrt(44)/sqrt(4)*-4). 3*sqrt(11)/2 Simplify (-3*(sqrt(90)/sqrt(5)*-1 + sqrt(18))/(sqrt(726) + sqrt(726)*2) + -4)**2. 16 Simplif
{ "pile_set_name": "DM Mathematics" }
ppose 2*n + n - i = 0, -n = 3*w - 114. Suppose 0 = 5*a, 0 = -2*f + f - a + w. Is f a prime number? True Let a(d) = -4*d**3 - 5*d**2 - 3*d - 1. Let b(p) = -4*p**3 - 4*p**2 - 3*p - 1. Let r(t) = 3*a(t) - 4*b(t). Is r(3) prime? True Let m(k) = -k**3 + 8*k**2 + 3*k + 9. Let x = -4 + 12. Is m(x) prime? False Let z(s) = -s**3 + 20*s**2 - 5*s - 9. Is z(8) a composite number? False Suppose 5*b - b - 20 = 0. Suppose 0 = -b*f + 2*i - 7*i + 90, -2*f - 4*i = -40. Let l = f - -6. Is l composite? True Let f be 4/10 + 186/(-15). Let v(k) = k**2 + 11*k - 6. Let s be v(f). Is (-30)/(-10)*28/s prime? False Let v(h) = -h**3 + 14*h**2 + 15*h + 7. Is v(15) a prime number? True Suppose 5*g - 491 = -91. Suppose 0 = 3*m - g - 142. Suppose -4*u - m + 550 = 0. Is u composite? True Let z(m) = -5*m**3 - 11*m**2 - 3*m - 1. Is z(-6) a composite number? False Suppose -3280 + 501 = -m. Is m a prime number? False Let g(x) = 8*x - 5. Let y be g(5). Suppose y + 53 = q. Suppose -q = -2*j - 2*j. Is j composite? True Let n(r) = -11*r**3 + 26*r**2 - 7*r + 4. Let q(g) = -5*g**3 + 13*g**2 - 3*g + 2. Let l(k) = 6*n(k) - 13*q(k). Is l(-13) composite? False Suppose -23609 - 5466 = -5*g. Is g a composite number? True Let u(c) = 129*c**2 + 2*c - 1. Is u(2) prime? False Let j = -28 + 48. Suppose 0 = -5*v + 125 - j. Is v a composite number? True Let d(p) be the second derivative of 2*p**5/15 - p**4/24 - p**3/6 + 2*p. Let v(j) be the second derivative of d(j). Is v(1) composite? True Suppose 0 = -4*k, 13*i + 2*k - 2903 = 12*i. Is i prime? True Is 12/4 + (-3)/(6/(-710)) prime? False Let k(y) = 133*y. Is k(1) prime? False Let f be ((-4)/5)/(3/75). Suppose -2*q = -1 + 3. Is q/5 + (-1944)/f composite? False Suppose -5*y + 0*j + 2213 = -j, 2*y - 880 = 3*j. Is y prime? True Let a(q) = -q + 9. Let h be a(4). Suppose -2*o + 3*o + x = 6, -h*x = 3*o - 22. Suppose o*y - y - 159 = 0. Is y prime? True Let r(t) = -5*t**3 + 2*t**2 - t. Suppose -l = -3*j - 4, 0 = 5*l - 2*j + j - 6. Let d be r(l). Is (-2)/d + 314/4 prime? True Is (-36)/(-126) - (-934)/14 a prime number? True Suppose -h = -493 - 1608. Is h a composite number? True Suppose -2563 - 10462 = -5*d. Is d a prime number? False Let d be 1*4*(-18)/(-12). Let n(b) = b**2 - 3 + d + 2*b - 1 + 1. Is n(-4) composite? False Let p = -616 + 1083. Is p prime? True Suppose -364 + 79 = -3*r. Is r a composite number? True Let c = 295 - 168. Is c a composite number? False Let n(p) = p**2 + 2*p + 8. Let u be n(6). Suppose 0 = s - 3*m, -u = -5*s + 3*m + 4. Is s a prime number? False Let q(d) = 1738*d**2 - d + 2. Is q(1) composite? True Suppose k = 3*k - j + 365, -3*j = -k - 170. Let p be 1 - k - (-3)/(-3). Is (3/3)/(1/p) prime? False Suppose 3*z = -3 + 6. Let m be (4/(-8))/(z/(-1324)). Is (m/(-4))/(8/(-16)) prime? True Let n be ((-5)/20)/(1/(-4)). Suppose -b + 2 = -n. Suppose 3*d + s = -b*s + 21, 0 = -d - 4*s + 7. Is d a prime number? True Let s be (-6)/15 + 203/(-5). Let k(h) = -8*h + 6. Let d be k(-7). Let u = s + d. Is u a composite number? True Suppose -4*a + 215 = -3*d, 2*d - 10 + 4 = 0. Is (-2)/7 + 5336/a prime? False Let b be 12/5*20/(-3). Is (-1)/1 - b*2 prime? True Let r be (-1)/(-3)*(10 + -1). Suppose 2*s = -r*s + 265. Is s composite? False Is (-2)/((-8)/4308*3) prime? True Suppose 3*z - 20 = -8. Suppose -z*k = -9*k + 5*r + 30, -r = 2. Suppose k*c - 2*l = 8 + 62, 5*l - 20 = -3*c. Is c prime? False Suppose -2*g = 3*g - 740. Suppose -y = y - g. Is y a prime number? False Let m(l) = -6*l**3 + 7*l**2 + 11*l + 7. Is m(-5) a prime number? True Suppose 3*q + 18 = 4*i + 5, -4*i + 7 = -q. Is q*(-2)/3 - -75 a prime number? False Let f be ((-6)/(-2) + -2)*0. Suppose f = -4*q + 2*t + 16, -4*t = -2*q - 3*q + 26. Is q/(6/213) - 2 a prime number? False Let d be 2/4 + (-2433)/(-6). Let w = 1041 - d. Suppose 2*j + j - 4*c = 381, -w = -5*j - c. Is j a prime number? True Let u be 6/14 - (-1488)/56. Suppose u + 924 = 3*w. Suppose -5*t + 15 = 0, -2*s = -t + 2*t - w. Is s a prime number? True Let u(v) = -163*v + 9. Is u(-10) a composite number? True Let f(t) = -t**2 + 6*t + 4. Let j be f(7). Is 66/4*(-22)/j a prime number? False Let t = -71 - -130. Is t a prime number? True Let t = 289 + -709. Let n be ((-54)/(-15))/(3/t). Let j = 715 + n. Is j a prime number? True Let w(p) be the first derivative of 1/3*p**3 - 6*p + 0*p**2 + 2. Is w(-5) a prime number? True Let k(h) = 32*h - 1. Let q be k(2). Let g = -31 + q. Let i = g - 18. Is i a composite number? True Suppose -15*m + 1778 = -8*m. Is m composite? True Let p = 148 - 65. Suppose -4*u - 36 = -a, -2*u + 3*u + 1 = 0. Let c = p - a. Is c a prime number? False Suppose -4*a - 16 = 0, -4*w = -w - 4*a - 145. Suppose -2*u + b = -w, 2*u - 56 = 2*b - 8. Is u a prime number? True Let c = 10 - 5. Let o(m) = 7*m**2 - 6*m + 4. Is o(c) a composite number? False Let o = -514 - -1013. Is o a prime number? True Is -2*((-119)/2 - 1 - 3) a composite number? False Let u be (3/2)/((-2)/(-28)). Let j = 62 + u. Suppose 0 = 2*k - j - 15. Is k a prime number? False Suppose 254 = 8*g - 6*g. Is g a prime number? True Suppose -3*o - 367 = -2*z, -3*o = 5*z - 1250 + 280. Is z a prime number? True Let g be 2 - (-1 - 2)*1. Suppose g*o = 2*o - 4*q + 41, -3*o + 29 = -2*q. Is o prime? True Let q(j) = 37*j - 48. Is q(19) composite? True Let b = 6 - -1. Let v = b - 5. Is (-1 + v)/((-1)/(-37)) a composite number? False Let r(l) = 169*l + 1. Is r(4) a prime number? True Suppose -3*i - 4 = -5*i. Suppose 2*f = 5*q - 15, i*f + 10 = -q + 1. Let d(h) = 11*h. Is d(q) a composite number? False Suppose -2*w + a = -234, -3*a + 16 = -7*a. Is w a prime number? False Let h(o) = -7*o**2 + 10*o + 4. Let s(b) = b. Let l(r) = h(r) - 2*s(r). Let p be l(-6). Is p/(-6) + (-2)/6 composite? True Let q(h) = -h**2 + 11*h - 1. Let i be q(6). Suppose 0 = -5*y + 7 + 13. Let w = y + i. Is w a composite number? True Let x be (2 + 16)*(-40)/6. Let d(b) = -196*b**2 - 1. Let r be d(-1). Let v = x - r. Is v composite? True Let x(o) = 113*o**2 - o + 1. Suppose -3 = -2*i - 1. Is x(i) a prime number? True Suppose 0 = -3*a + 7 + 8. Suppose 4*y = 4*u - a*u + 23, 2*u = 3*y + 35. Is u a prime number? True Let m = -872 - -1581. Is m a composite number? False Suppose -3091 = -4*q + 457. Is q prime? True Suppose 5*a = -2*h + 4, -4*a + 2*h + 3 - 7 = 0. Is 3/(6/76 + a) a prime number? False Let l = -6 + 10. Suppose -3*r + 4 = -i, -r = -l*i - 12 - 4. Suppose 3*u - 82 = -5*x, -5*u + r*x + 115 = 4*x. Is u prime? True Let b be (-1)/(-2)*0/4. Suppose -2*v + 5*v - 4*h - 562 = b, -408 = -2*v - 4*h. Is (-2 + (2 - v))/(-2) composite? False Suppose -8*i + 9 + 15 = 0. Let l(a) = -9*a**3 + 7*a**2 + a + 5. Let b(g) = -4*g**3 + 3*g**2 + 2. Let z(j) = -5*b(j) + 2*l(j). Is z(i) prime? False Suppose -p + 1839 = 5*c - 3*c, 0 = -c - p + 920. Is c a prime number? True Let n = 283 + -92. Is n a prime number? True Let f(v) = -53*v - 2. Is f(-1) composite? True Let h = -1 - -1. Let p = 0 - h. Let m = p + 6. Is m composite? True Suppose -5*x - w = -1169, -5*x - 2*w = -7*w - 1145. Is x a prime number? True Let c = -15 + 9. Is 1*-38*3/c prime? True Let u(j) = -18*j**3 - 6*j**2 - 8*j + 7. Let n(z) = 54*z**3 + 17*z**2 + 23*z - 20. Let a(k) = 6*n(k) + 17*u(k). Is a(1) a composite number? False Let w = 4 - 9. Let z(a) = -38*a - 5. Let d be z(w). Suppose r - d = -4*r. Is r a prime number? True Let c = 285 + -151. Let f = c + -91. Suppose -4*o + 225 = -f. Is o a composite number? False Suppose -1 + 7 = 3*c. Suppose c*k - 14 = 32. Is k a prime number? True Let a(f) = -f**3 - 6*f**2 + 6*f - 7. Let g be a(-7). Suppose g = -j + 6*j + 2*c - 103, 0 = j - 5*c + 1. Is j a prime number? True Let w be (-262)/(-14) - 6/(-21). Suppose -5*d = -4*l - l - 35, d + 2*l - w = 0. Is d a prime number? True Suppose 3*k + 123 = a - 0*a, -2*k + 478 = 4*a. Suppose -3*f = -5*u - a, -7*u - 120 = -2*u + 2*f. Let j = 59 + u. Is j prime? False Let c = -2 - -5. Let x be c/3 + 2 + -9. Let p = x + 12. Is p composite? True Let c(s) be the first derivative of s**2/2 + 2*s - 1. Let j be c(-2). Suppose z - 29 - 8 = j. Is z a composite number? False Let f(j) = -j**3 + 7*j**2 - 5*j - 4. Suppose -11 = 4*d - 35. Let h be f(d). Suppose h*p + 5*i = 141, -8*i = -5*p - 3*i + 440. Is p prime? True Suppose 721 = -4*z + 6309. Is z a composite number? True Let f(a) = a**2 + 3*a - 15.
{ "pile_set_name": "DM Mathematics" }
-385/4 - 13*sqrt(19) Simplify (sqrt(1539) + 0 - (sqrt(171) - (sqrt(171) + (1*sqrt(171) - sqrt(171)) - sqrt(171)) - sqrt(171))/sqrt(9))**2. 1539 Simplify (sqrt(189)/sqrt(3) - (sqrt(63) - (sqrt(441)/sqrt(7) + sqrt(63)))/sqrt(9))**2. 112 Simplify ((sqrt(363) - (sqrt(363)*-3 - sqrt(363) - sqrt(363)))*3)**2*-5. -588060 Simplify (3 + sqrt(5) + -1 - -5*(sqrt(15)/sqrt(3))**2) + 2. sqrt(5) + 29 Simplify (sqrt(108)/sqrt(6))**2 - (sqrt(2) - (sqrt(2) - (2 + sqrt(2) + sqrt(2) + -3 + sqrt(2))))**2. -1 + 6*sqrt(2) Simplify -3 + (-5 + sqrt(11)*1)**2. -10*sqrt(11) + 33 Simplify 3*(1*sqrt(1584))**2 - (sqrt(1584)*1*6)**2. -52272 Simplify -5*(2 + sqrt(931)). -35*sqrt(19) - 10 Simplify (sqrt(90)/sqrt(3))/sqrt(6) + sqrt(20)/(sqrt(16)/sqrt(4)). 2*sqrt(5) Simplify 2*(-1*sqrt(170) - sqrt(170) - sqrt(170))/sqrt(10). -6*sqrt(17) Simplify -1 + -5 + sqrt(20) + sqrt(5). -6 + 3*sqrt(5) Simplify (4*sqrt(100)*-2)/(sqrt(72) - sqrt(18)). -40*sqrt(2)/3 Simplify sqrt(52)/(2*sqrt(16)/sqrt(4)). sqrt(13)/2 Simplify (sqrt(162)*-3 + 0)*-3. 81*sqrt(2) Simplify ((sqrt(2736) - (3 + (sqrt(2736) - (sqrt(2736) - (2 + sqrt(2736)))))) + 1)**2. 16 Simplify sqrt(77)/(sqrt(44)/sqrt(4)) - 4*(-2 + sqrt(7)). -3*sqrt(7) + 8 Simplify ((sqrt(567) - (sqrt(567) + sqrt(567)*-2))*-1*-1*3)**2. 20412 Simplify 0 + -4*sqrt(13) + -2. -4*sqrt(13) - 2 Simplify (sqrt(330)/(sqrt(11)*-1))/(1*2*sqrt(10)). -sqrt(3)/2 Simplify sqrt(153)/(sqrt(108)/sqrt(3)). sqrt(17)/2 Simplify (2*sqrt(6)*1)/sqrt(3). 2*sqrt(2) Simplify -5 + (sqrt(245) - (sqrt(245) + sqrt(245)*-1)). -5 + 7*sqrt(5) Simplify (1*sqrt(17))**2 + -2 + 3. 18 Simplify (sqrt(153) - (sqrt(153) + sqrt(153) + -1*sqrt(153))*3)/sqrt(9) + (1 + sqrt(1088))*3. 3 + 22*sqrt(17) Simplify ((sqrt(175) - sqrt(7) - sqrt(7)) + -2)*1. -2 + 3*sqrt(7) Simplify -4*5*(-1 + sqrt(17)). -20*sqrt(17) + 20 Simplify (1*sqrt(153)/sqrt(3) - sqrt(51))/(6*(sqrt(9)/sqrt(3) + sqrt(3))). 0 Simplify sqrt(65)/sqrt(5)*-6 + -2. -6*sqrt(13) - 2 Simplify 5 + (sqrt(7) - (sqrt(175) - (sqrt(175) - (sqrt(175) + 0)))**2). -170 + sqrt(7) Simplify (-5*(4*sqrt(475) - sqrt(475)))**2. 106875 Simplify -1*-1*sqrt(5)*-6. -6*sqrt(5) Simplify (-2*((sqrt(500) + 0 + sqrt(500) + 5 - sqrt(500)) + sqrt(500) + 1 + sqrt(500) + 0 + sqrt(500)))**2. 1920*sqrt(5) + 32144 Simplify (3*sqrt(152))/sqrt(8) - (3 + sqrt(684)). -3*sqrt(19) - 3 Simplify sqrt(52)*-1*-6*4. 48*sqrt(13) Simplify -4*(sqrt(19) - (sqrt(19) + -4)) + 0 + 1. -15 Simplify 1 + (sqrt(7) + -1)*4. -3 + 4*sqrt(7) Simplify ((sqrt(32) + 2)*-6)**2. 576*sqrt(2) + 1296 Simplify 4 + sqrt(170)/(sqrt(90)/(sqrt(9)*1) + sqrt(10)). sqrt(17)/2 + 4 Simplify (sqrt(847) - sqrt(847)*1)*-6. 0 Simplify -3 + sqrt(10)/sqrt(2)*-6. -6*sqrt(5) - 3 Simplify 5*(sqrt(637) - (sqrt(637) + 0))**2 + sqrt(637) + (1*sqrt(637))**2*-6. -3822 + 7*sqrt(13) Simplify sqrt(21)/sqrt(7)*-6 + -4 + sqrt(3) + 4. -5*sqrt(3) Simplify -4*(sqrt(13) + 1) - (sqrt(325) - (-1 + sqrt(325))). -4*sqrt(13) - 5 Simplify -1 + (((-2*sqrt(7))**2 - sqrt(7))*-6 - sqrt(63)/(sqrt(27)/sqrt(3))). -169 + 5*sqrt(7) Simplify (sqrt(2700) + (sqrt(2700) - (sqrt(2700) + 1)))**2. -60*sqrt(3) + 2701 Simplify (-3 + sqrt(4)/sqrt(2) + 5 + sqrt(2) + -1)**2. 4*sqrt(2) + 9 Simplify (sqrt(495)/sqrt(176))**2. 45/16 Simplify (-4 + sqrt(56)/(sqrt(648)*1)*-2)**2. 16*sqrt(7)/9 + 1324/81 Simplify (-2*sqrt(1536))/((sqrt(72)*-1)/sqrt(6)). 16*sqrt(2) Simplify -4 + (sqrt(42)/sqrt(2)*-3)/sqrt(7) + 2. -3*sqrt(3) - 2 Simplify ((-4*sqrt(165)/sqrt(5))/(sqrt(11) - (sqrt(275) + sqrt(275) + (1*sqrt(275) - sqrt(275)) - sqrt(275) - sqrt(275))))**2. 48 Simplify -4 + (sqrt(176) + 3 + sqrt(176) - (sqrt(77)*-2 - sqrt(77))/sqrt(7)). -1 + 11*sqrt(11) Simplify (5*(sqrt(114) + 2*sqrt(114) + sqrt(114)))/((sqrt(36)/sqrt(3))/sqrt(2)). 20*sqrt(19) Simplify ((sqrt(153) - ((sqrt(153)*1 + sqrt(153) + sqrt(153))*-4 - sqrt(153) - sqrt(153))) + sqrt(153))**2 + 1. 39169 Simplify (5*-2*sqrt(110))/(sqrt(10) - (sqrt(10) - ((sqrt(10) - 1*sqrt(10)) + sqrt(10)) - sqrt(10))*4). -2*sqrt(11) Simplify 3 + (-2 + sqrt(272))*2. -1 + 8*sqrt(17) Simplify (sqrt(34) - 1*sqrt(34)*-5)/(-2*sqrt(72)). -sqrt(17)/2 Simplify 6*(5 + sqrt(38)/sqrt(2) + 3 + sqrt(19)). 48 + 12*sqrt(19) Simplify ((sqrt(405) + sqrt(405)*-2 + sqrt(405) + sqrt(15)/(sqrt(6)/sqrt(2)))*3)**2. 45 Simplify (sqrt(612)*-2)**2 + -1. 2447 Simplify -2*(4 + sqrt(1100) + -2). -20*sqrt(11) - 4 Simplify ((-1 + sqrt(1088) + 5 - (sqrt(1088) - (-2*sqrt(1088) + 5))) + 0)**2. -288*sqrt(17) + 4433 Simplify ((-1 + sqrt(13))*5)**2 - sqrt(13) - sqrt(156)/(sqrt(120)/sqrt(10)). -52*sqrt(13) + 350 Simplify 1*sqrt(88)/sqrt(8) + 4. sqrt(11) + 4 Simplify -3*(sqrt(252) - (sqrt(252) + 1 + sqrt(252))**2). 54*sqrt(7) + 3027 Simplify (-4 + 1*sqrt(99))**2. -24*sqrt(11) + 115 Simplify (sqrt(44) + -2*sqrt(44))**2*-5. -220 Simplify -4*(-1*sqrt(1900) + 0). 40*sqrt(19) Simplify (sqrt(567)*2)**2 - sqrt(567) - sqrt(7) - (4 + sqrt(63)). -13*sqrt(7) + 2264 Simplify (1*sqrt(99)*5 - sqrt(99))**2. 1584 Simplify ((sqrt(143) + 1*sqrt(143))*6 + sqrt(143))/(2*sqrt(539) - sqrt(539)) + -5. -5 + 13*sqrt(13)/7 Simplify -2 + (1 + sqrt(48)*1*-1)**2. -8*sqrt(3) + 47 Simplify ((1*(sqrt(104) + (sqrt(104) - (2*sqrt(104) + sqrt(104))) + sqrt(104)))/sqrt(8) - -1*sqrt(1300)*-1)**2. 1300 Simplify 3*sqrt(2)*-2 - (2*sqrt(128))**2. -512 - 6*sqrt(2) Simplify ((sqrt(117)*-1 - sqrt(117))*1 - sqrt(117))/(-6*2*sqrt(9)). sqrt(13)/4 Simplify -3 + sqrt(20) + 2. -1 + 2*sqrt(5) Simplify 3*(sqrt(1700) + 0). 30*sqrt(17) Simplify sqrt(70)/(sqrt(10)*-3) - (sqrt(84)/sqrt(6))/sqrt(2). -4*sqrt(7)/3 Simplify ((sqrt(1008) + -1 + 4*sqrt(28)/sqrt(4))*-6)**2. -1152*sqrt(7) + 64548 Simplify sqrt(10)/(sqrt(200) - (sqrt(200) + (sqrt(200)*-1 - sqrt(200)) - sqrt(200) - sqrt(200))) - (6*sqrt(15)/sqrt(3)*6)**2. -6480 + sqrt(5)/40 Simplify (sqrt(210)/((sqrt(10) - (sqrt(10) + sqrt(160))) + sqrt(10)))/(sqrt(3) - -2*(sqrt(3) + sqrt(12)/sqrt(4))). -sqrt(7)/15 Simplify (sqrt(91)*2*-5)/(sqrt(49)/sqrt(112)). -40*sqrt(13) Simplify sqrt(70)/(sqrt(360)*-1) + (sqrt(112) + 1)**2*-2. -226 - 97*sqrt(7)/6 Simplify -5*sqrt(4)/sqrt(2) - (-5 + 2 + sqrt(2)). -6*sqrt(2) + 3 Simplify (sqrt(11) - ((sqrt(11) + sqrt(44))**2 + 5))*-1 + 1. -sqrt(11) + 105 Simplify (sqrt(18) + sqrt(18) + 2*sqrt(72))/sqrt(9). 6*sqrt(2) Simplify -5*(sqrt(245) - (sqrt(245) + sqrt(245) + sqrt(245)*-1) - (0 + sqrt(80)))**2. -400 Simplify (-2*sqrt(85)*-3)/sqrt(5). 6*sqrt(17) Simplify sqrt(10)/(sqrt(2) + (sqrt(44)/sqrt(2))/sqrt(11)). sqrt(5)/2 Simplify (5 + sqrt(3) + -3)*5. 5*sqrt(3) + 10 Simplify (((2*sqrt(16))/sqrt(4))/((sqrt(4) - sqrt(64))/sqrt(2)))**2. 8/9 Simplify 2*-2*sqrt(1088). -32*sqrt(17) Simplify (-1 + sqrt(500) + -1 + -1)**2. -60*sqrt(5) + 509 Simplify 3*sqrt(245)*2. 42*sqrt(5) Simplify ((1*sqrt(209))/sqrt(11) + -1)**2. -2*sqrt(19) + 20 Simplify 0 + sqrt(567) + -4. -4 + 9*sqrt(7) Simplify -3*(sqrt(17) + sqrt(68)/(sqrt(12)/sqrt(3)) - ((sqrt(17) + sqrt(153))*2)**2) + 0. -6*sqrt(17) + 3264 Simplify ((sqrt(228) + sqrt(228) + 1*sqrt(228))*-6)/sqrt(12). -18*sqrt(19) Simplify sqrt(1900) + 0 - (sqrt(19) + -1 + 2). -1 + 9*sqrt(19) Simplify (1*(0 + sqrt(448) + sqrt(448) + -1))**2 + -4. -32*sqrt(7) + 1789 Simplify (-2*(sqrt(475) - ((sqrt(475) - sqrt(475)*2) + sqrt(475))*-1))**2. 1900 Simplify ((-1*sqrt(34) + sqrt(34))*-2)/sqrt(2) - (sqrt(68) + (sqrt(68) - 1*(sqrt(68) + 0))**2). -2*sqrt(17) Simplify -3*-2*(sqrt(153)*1 + sqrt(153) - sqrt(153))/sqrt(9). 6*sqrt(17) Simplify 2*sqrt(1300)*2. 40*sqrt(13) Simplify -3*(sqrt(475) + 2) + 1. -15*sqrt(19) - 5 Simplify (sqrt(330)/(sqrt(44)/sqrt(4)))/sqrt(6). sqrt(5) Simplify sqrt(22)/(-5*sqrt(2)*2). -sqrt(11)/10 Simplify 4 + (-4*sqrt(605) - sqrt(605))*2. -110*sqrt(5) + 4 Simplify (sqrt(20)/sqrt(2)*-6 + sqrt(10))/(5*sqrt(4)/sqrt(2) + sqrt(2)). -5*sqrt(5)/6 Simplify (sqrt(156) + sqrt(156)*-1*4 + sqrt(156))/sqrt(12). -2*sqrt(13) Simplify sqrt(4)/(sqrt(72)*-1). -sqrt(2)/6 Simplify (3*(sqrt(175)/sqrt(5) - sqrt(35)))/sqrt(5). 0 Simplify sqrt(77)/(sqrt(44)*-1). -sqrt(7)/2 Simplify ((sqrt(1617)*-2 - sqrt(1617)) + sqrt(1617))/sqrt(11). -14*sqrt(3) Simplify 5*sqrt(7)*1 - (2*sqrt(847))**2. -3388 + 5*sqrt(7) Simplify (sqrt(27) - sqrt(81)/sqrt(3))*-1 - (sqrt(432) + 0 + sqrt(432)). -24*sqrt(3) Simplify (-1*3*sqrt(153))/sqrt(9). -3*sqrt(17) Simplify 5 + ((sqrt(1300) - -4*sqrt(1300)*-2) + sqrt(1300))**2. 46805 Simplify (4*sqrt(66)/sqrt(3))/(sqrt(1584)*1
{ "pile_set_name": "DM Mathematics" }
-3087/11) Simplify (q**3*q/q**(5/9)*q)/((q/(q*(q/(q/(q/(q*q/((q*q/(q*q**(1/19)/q*q))/q)))))/q))/(((q*q**(-4/9))/q)/q)) assuming q is positive. q**(18/19) Simplify (((m**8*m)/m)/(m**(-6)*m)*((m/(m/(m**(-8)*m))*m*m)/m)/m*m*m**(-1/11))**(-3/20) assuming m is positive. m**(-57/55) Simplify ((z**(-7)*z*z/z**(4/7))/(z**(1/4))**(10/13))**(1/4) assuming z is positive. z**(-1049/728) Simplify ((h**2)**(3/17)*h**(-4)*h*h*h**(-2/7))**(-45) assuming h is positive. h**(10350/119) Simplify (m/(m/m**(-8))*m/m**(1/2))**(-2/123) assuming m is positive. m**(5/41) Simplify (q/((q/q**(-21))/q))/q**3*(q**0)**(-2/13) assuming q is positive. q**(-23) Simplify (l**(-4))**(-2/5)/(l**(-1/14)*l**12) assuming l is positive. l**(-723/70) Simplify (j/(j*j*j**6))/(j**10/j)*j/j**(-7)*j**(3/4) assuming j is positive. j**(-29/4) Simplify ((h*h**(1/4))**(2/19)*h**1*h**(-3))**(11/5) assuming h is positive. h**(-781/190) Simplify (x**6*x)**(-48)/((x*x*x**(-18))/x**(-36)) assuming x is positive. x**(-356) Simplify ((t**(-1))**(-16)*t/t**4*t/(t*t*t**(-3)))**(-1/24) assuming t is positive. t**(-5/8) Simplify n/n**(-1)*n*n**(2/19)*n*(n**4)**(-23) assuming n is positive. n**(-1670/19) Simplify ((k/(k*k*k**(2/9)))**(-2/41)*(k*k/k**(-1/6))/(k**(-2)/k))**42 assuming k is positive. k**(26999/123) Simplify (r**(2/7))**(-1/25)*((r/((r**(5/7)/r)/r))/r)/(r**(-12)*r) assuming r is positive. r**(2148/175) Simplify ((d**(-1/5)*d**(-13))**(-11))**(-8) assuming d is positive. d**(-5808/5) Simplify (u**14/(u/(u/(u**7*u))))/((u/u**(-3/5))/u**16) assuming u is positive. u**(102/5) Simplify (r/(r**4*r*r))**(-4/7)*(r**(-3)/r)/r*r*r/(r*r/(r**(-8)*r))*r assuming r is positive. r**(-57/7) Simplify (p**(1/5))**(-8/5)/(p**(1/36)*p**(-1/42)) assuming p is positive. p**(-2041/6300) Simplify (((x*(x/(x*x**(-8)*x)*x)/x)/x)/x)/x*x*(x**(1/13)/x)/x*x**(-6)*(x*x**11*x)/x assuming x is positive. x**(131/13) Simplify (((w/w**(3/5))/w*w)/w**(2/7)*w/(w*(w/(w**(-1/3)/w))/w)*w**(2/13))**16 assuming w is positive. w**(-23264/1365) Simplify ((p/(p*p**(-2)*p*p))**(-35/6)/(p/p**(-4)*p**3*p*p))**(17/6) assuming p is positive. p**(-85/3) Simplify ((f**3*f)/f*(f/f**(-12)*f)/f)**(-2/35) assuming f is positive. f**(-32/35) Simplify ((p**(-2/3))**(-12)/(((p/p**0)/p)/p)**7)**21 assuming p is positive. p**315 Simplify (s**(3/4)*s*s*s**(-8))/(((s**(-3/5)/s)/s)/(s*s**(16/7)*s)) assuming s is positive. s**(229/140) Simplify (o**4/o*o)/o**(-5)*(o/(o/((o**(-2/5)*o)/o)*o)*o)/((o*o/o**(4/5))/o*o*o*o*o) assuming o is positive. o**(22/5) Simplify ((g/(g*g/g**(-2/3)*g))/(g**(3/7)/g))/(g*g**10*g**5) assuming g is positive. g**(-380/21) Simplify (((x**(-1)/x)**26)**(-3/2))**(-1/3) assuming x is positive. x**(-26) Simplify (z**7/z*z)/(((z**(-2/11)/z)/z)/z)*(((z/(z*z**4)*z)/z)/z)**4 assuming z is positive. z**(-108/11) Simplify (a/(a/(a/(a*a/a**10*a*a))*a*a))**(2/97)*a**19*a*a**(-17)/a assuming a is positive. a**(204/97) Simplify ((s**39/s)/s**(-26))**(19/4) assuming s is positive. s**304 Simplify r**(-2/15)*r*r**4*(r/(r/r**(3/11)*r))/(r**(-12/5)/r) assuming r is positive. r**(1244/165) Simplify (s/s**39*s*s**(2/3))**29 assuming s is positive. s**(-3161/3) Simplify ((g/g**(-1/13)*g/g**5)/(g/(g/(g/((g*g**(-2))/g))))**(-30))**(-3) assuming g is positive. g**(-3396/13) Simplify (a**(-4)*a**(-2/3))**31 assuming a is positive. a**(-434/3) Simplify (s**25/(s**26*s))/(s**(-7/9)/((s/(s/(s*s**(-2/63))))/s)) assuming s is positive. s**(-79/63) Simplify (x/(x**(1/23)/x*x*x)*x)**(-4/11)*(x/x**(-2/17))**29 assuming x is positive. x**(12537/391) Simplify (((n**(1/3))**(-2/15))**(-14))**(6/23) assuming n is positive. n**(56/345) Simplify (u**(-1/19)*u*u**(-1/4)*u)**(26/9) assuming u is positive. u**(559/114) Simplify (w**6/w)**(10/17)/(w/(w*w**(-3)))**(-22) assuming w is positive. w**(1172/17) Simplify (q**(-1/29)/q**(1/19))/(q**(2/7))**40 assuming q is positive. q**(-44416/3857) Simplify ((w/w**(-13))/w)**(-48)*(w**(-2/13))**(-2/41) assuming w is positive. w**(-332588/533) Simplify (b/(b*b*(b*b**(-5/8)*b)/b*b)*b)**(-2/23)*b**(1/13)/(b**23*b) assuming b is positive. b**(-28469/1196) Simplify (y**1)**(12/7)/(y**(-9)*y*y*y**(2/23)) assuming y is positive. y**(1389/161) Simplify ((y**(-1/18)/y)/(y/y**5))/(y**(-3/7)*y*y*y**(1/14)) assuming y is positive. y**(82/63) Simplify a**(-7)/a*a*a**(-16)*a**(-19)/a*a*(a**0/a*a)/a assuming a is positive. a**(-43) Simplify ((i**(2/7)/i*i*i**(-6)*i)/((i**4/i)/((((i*i**5)/i)/i)/i)))**(-23) assuming i is positive. i**(759/7) Simplify (j/(j*j/(j/((j*j**(-1/7)*j)/j)))*j*j/j**(1/25))**(13/6) assuming j is positive. j**(2509/1050) Simplify ((t*t**(-4)*t)/(t/(t/((t/(t/(t*(((t/(t/(t**(5/3)*t)))/t)/t)/t)))/t*t))))/((t/(t/(t**14*t)))/(t*t*t**(1/3)*t*t)) assuming t is positive. t**(-40/3) Simplify (v**29*(v**(9/5)/v)/v)/((v**11*v)/v*((v/(v/(v/((v**16/v)/v))*v))/v)/v) assuming v is positive. v**(169/5) Simplify ((b**(-8/7))**(2/3))**(1/21) assuming b is positive. b**(-16/441) Simplify ((x/(x*(((x*x**(-8))/x)/x)/x)*x)/x*x**(-9))/((x/(x**8*x)*x)/x*x)**(-30) assuming x is positive. x**(-209) Simplify (s*s*s*s*s*s**(-13)*s**(6/11))**(-31) assuming s is positive. s**(2542/11) Simplify (z/(z/(z*z**(-7)))*z*z**(-7)*(z**(-2)*z)/(z/(z*z/((z/(z/(z*z*z**(-3))))/z))))**(-1/24) assuming z is positive. z**(5/12) Simplify (((k*k**(-3/2))/k*k*k/(k/k**1))/((k/(k/((k**9/k)/k)))/((k/(k*k/k**(-2)*k))/k)))**(-2/67) assuming k is positive. k**(23/67) Simplify ((i**(-4)/(i**11/i*i))/(i**13/(i*i*i**11*i)))**(-10) assuming i is positive. i**140 Simplify ((v*(v*v**(-2/15)*v)/v*v*v**18)**(-32))**(4/7) assuming v is positive. v**(-40064/105) Simplify (o**(-2/53)/o)**(3/4)/(o/((o/(o*o*(o**(2/105)*o)/o)*o)/o)*o**(3/7)*o) assuming o is positive. o**(-94069/22260) Simplify ((x/(x*x*x**0))**(-50)*x**(1/8)/x**(2/5))**(10/3) assuming x is positive. x**(663/4) Simplify ((((n**(-2/7)*n)/n*n)/n)**(-5/2)*(n*(n**(-1/3)*n)/n*n)/(n/(((n**(-4/7)*n)/n)/n*n)))**(2/53) assuming n is positive. n**(34/1113) Simplify (n/n**(3/7)*n*n*n)**(-2/87)*(n/(n/(((n*n**(-1/4)*n)/n)/n)))**34 assuming n is positive. n**(-10453/1218) Simplify (j/(j*j/j**4)*j*j**(-3/8))/(j*j**24*j/(j/j**6)) assuming j is positive. j**(-219/8) Simplify (s**(-2/13)*s**(-5/6))/(s**(2/13))**7 assuming s is positive. s**(-161/78) Simplify ((t*t**26)/t**(10/13))/(t**(-15/2)/(t/t**5)) assuming t is positive. t**(773/26) Simplify ((b**(-2/11)/(b*b**(2/5)/b*b*b*b*b*b))/(b/b**(-1))**40)**5 assuming b is positive. b**(-4707/11) Simplify (d*d**(5/2)*d*d**(4/5)*d)/(((d*d**(2/7))/d)/d*d)**(7/4) assuming d is positive. d**(29/5) Simplify (o**(4/9)/(o*o**(-38)))/(o**(2/43)*o/(o/(o/(o*(o/(o*o**(-19)))/o)))) assuming o is positive. o**(21439/387) Simplify z/(z/z**(-11))*z*z/((z/((z**(-8)/z*z)/z))/z)*z*(z*z/(z/(z**(2/19)*z))*z)/(z**(-6)*z) assuming z is positive. z**(-169/19) Simplify (s*s**(3/7))/(s/(s*s/s**(-20)))*(s*s**(-15))/s*s*s**(-1/8)*s assuming s is positive. s**(521/56) Simplify ((((u*u**(3/4)/u)/u)/((u*u/u**4)/u))/(u/u**(-6)*u**(-2/9)))**(10/9) assuming u is positive. u**(-725/162) Simplify (z*z**(-2))**(-4/11)*(((z/(z/(z*z**(-4/3)))*z)/z)/z)**46 assuming z is positive. z**(-2012/33) Simplify (k*k**(-3/7))**(-48)/((k/(k*k/(k**(-6/11)*k*k)))/k)**(-4) assuming k is positive. k**(-2280/77) Simplify ((v/((v**(-3/8)/v)/v)*v**7*v)**(13/5))**(-28/5) assuming v is positive. v**(-8281/50) Simplify ((d/(d/(d**(-2/25)*d)*d))/(d*(((d**(-10/9)/d)/d)/d)/d*d*d))/(d**(-6)/d*(d**1/d)/d) assuming d is positive. d**(2257/225) Simplify x**(-2/3)*x**2/x*(x/(x/x**(-1)))**(1/44) assuming x is positive. x**(41/132) Simplify ((z**6)**(21/4))**12 assuming z is positive. z**378 Simplify (x**(-1/2)/x)**(-17)*(x**3*x)**(-2/69) assuming x is positive. x**(3503/138) Simplify x**(-1/2)/(x/(x/(x*x**16/x)*x*x))*x/((x*x*x**0)/x)*x*x*x**(-3/2)*x assuming x is positive. x**(-13) Simplify (c*c*c**(1/41)*c)/(c*c/c**(-2/35))*c/(c*c**(-2))*c/(c**12*c) assuming c is positive. c**(-12962/1435) Simplify (v**5)**(5/7)/(v*v*v**(-6))**9 assuming v is positive. v**(277/7) Simplify ((r**(-2/11))**(2/33)/(r**(6/5)*r*r**(3/4)*r))**(-4/27) assuming r is positive. r**(28757/49005) Simplify ((f/(f**(3/16)/f)*f)/(f**(-6)*f))**29 assuming f is positive. f**(3625/16) Simplify ((t*t/(t*t**(-1)))**(19/4)/(t**(-2/27)*t**(-1/5)*t))**(-19) assuming t is positive. t**(-45011/270) Sim
{ "pile_set_name": "DM Mathematics" }
406*u**2/3 + 17339*u/3 + 225929/2 = 0. -47, -11, 23, 57 Solve -15*t**2 - 107445072*t + 21489015 = 0. -7163005, 1/5 Determine k so that -3*k**3 - 353301*k**2/2 + 529955*k/6 - 9814 = 0. -58884, 1/6, 1/3 Factor -83*c**3/3 - 5438*c**2/3 - 93056*c/3 - 43008. -(c + 32)**2*(83*c + 126)/3 Find r such that -2*r**4/13 - 277246*r**3/13 - 1663374*r**2/13 + 4158494*r/13 - 2217872/13 = 0. -138617, -8, 1 Solve -4*x**4 + 13076*x**3 - 5228504*x**2 + 10404736*x = 0. 0, 2, 464, 2803 Factor -3*f**2/2 + 26739*f/2 + 794022. -3*(f - 8972)*(f + 59)/2 Suppose 4*w**2/5 + 10552512*w/5 - 84420352/5 = 0. What is w? -2638136, 8 Find s such that s**2/6 + 69481*s - 12092217/2 = 0. -416973, 87 Let -v**5 + 358*v**4 - 27767*v**3 + 156698*v**2 - 205176*v = 0. Calculate v. 0, 2, 4, 103, 249 Solve 4*m**4 - 2368*m**3 + 84704*m**2 - 273152*m - 904128 = 0. -2, 6, 34, 554 Factor 2*f**4 - 15692940*f**3 + 30783530037504*f**2 + 61567122846784*f. 2*f*(f - 3923236)**2*(f + 2) What is p in -2*p**5/9 + 4498*p**4/9 + 551890*p**3/9 + 5308378*p**2/3 - 3724880*p + 1893600 = 0? -60, 1, 2367 Solve 3*r**2 + 13548*r + 6160617 = 0 for r. -4003, -513 Suppose r**5/3 - 224*r**4 - 5483*r**3/3 + 9766*r**2 - 39464*r/3 + 5440 = 0. What is r? -12, 1, 2, 680 Factor -b**3/4 - 143*b**2 - 17741*b - 631072. -(b + 74)*(b + 82)*(b + 416)/4 Determine p so that p**2/4 - 19911*p/2 - 19912 = 0. -2, 39824 Factor q**2/5 - 7091*q/5 + 134368/5. (q - 7072)*(q - 19)/5 Determine t so that -4*t**5 - 1476*t**4 + 18952*t**3 + 254856*t**2 + 714492*t + 480060 = 0. -381, -5, -3, -1, 21 Let 5*j**2 - 89344120*j - 89344125 = 0. Calculate j. -1, 17868825 What is i in 4*i**3/9 + 35840*i**2/3 - 1363952*i/3 - 8613760/9 = 0? -26918, -2, 40 Suppose -20*q**5/7 - 102948*q**4/7 - 20568*q**3 + 576400*q**2/7 + 247008*q/7 = 0. What is q? -5146, -3, -2/5, 0, 2 Determine p, given that -p**5 + 141*p**4 + 4350*p**3 + 31088*p**2 + 26880*p = 0. -16, -10, -1, 0, 168 Find h such that 53*h**5/6 - 2729*h**4/3 - 34765*h**3/6 - 1175*h**2/3 + 92416*h/3 + 1744/3 = 0. -4, -1/53, 2, 109 Factor 4*t**3 - 2252*t**2 - 501224*t + 2040672. 4*(t - 733)*(t - 4)*(t + 174) What is u in 3*u**4/5 - 126*u**3/5 - 4325907*u**2/5 + 1134*u/5 + 7786584 = 0? -1180, -3, 3, 1222 Find z, given that -4*z**3 - 5829588*z**2 - 23318304*z - 23318288 = 0. -1457393, -2 Factor 3*p**2 + 174759*p - 45111210. 3*(p - 257)*(p + 58510) Let 2*j**4/11 + 900860*j**3/11 - 14*j**2/11 - 6306008*j/11 + 5405160/11 = 0. What is j? -450430, -3, 1, 2 Solve -n**3/6 + 25*n**2/3 + 7751*n/6 + 12980 = 0 for n. -59, -11, 120 Suppose 4*d**2 + 159705040*d + 1594106237587600 = 0. Calculate d. -19963130 Let 7225*v**2/4 + 1459365*v/2 + 294774561/4 = 0. Calculate v. -17169/85 Factor p**3/7 - 4163*p**2/7 + 808520*p - 360700900. (p - 1783)*(p - 1190)**2/7 Find n, given that 9*n**4/4 + 1499061*n**3/4 + 31211761671*n**2/2 + 36410932080*n - 31210012800 = 0. -83280, -3, 2/3 Suppose -625*l**4 - 31821500*l**3 - 540015091200*l**2 - 3053749000273920*l + 12223638279290880 = 0. What is l? -84864/5, 4 Determine w so that -15*w**3 - 229911*w**2 + 7741176*w - 11797248 = 0. -15361, 8/5, 32 Find b, given that -4*b**4 - 17428*b**3 + 1969092*b**2 - 65554748*b + 557838736 = 0. -4468, 13, 49 Factor 2*i**2 + 119979820*i - 119979822. 2*(i - 1)*(i + 59989911) Factor -t**2 - 1209*t - 364298. -(t + 571)*(t + 638) Determine b so that 2*b**4/3 - 184*b**3 - 123274*b**2/3 + 166552*b - 501832/3 = 0. -149, 2, 421 Suppose -470*y**3/9 + 9559804*y**2/9 - 5401296040*y + 45968400 = 0. Calculate y. 2/235, 10170 Factor -2*u**2/13 - 21006*u/13 - 21004/13. -2*(u + 1)*(u + 10502)/13 Suppose -7*h**4/6 + 28647*h**3/2 + 49119*h**2/2 - 110501*h/6 - 20465 = 0. Calculate h. -2, -5/7, 1, 12279 Determine a so that -63*a**4 + 557238*a**3 - 5591907*a**2 - 5724948*a - 1166220 = 0. -2/3, -2/7, 11, 8835 Factor -2*j**2 + 7110196*j - 6319360894802. -2*(j - 1777549)**2 Find z such that -5*z**5/2 - 4685*z**4/2 + 243785*z**3/2 - 2921875*z**2/2 + 2271780*z + 11399850 = 0. -987, -2, 5, 14, 33 Suppose 2*u**2 - 1170916*u + 1170914 = 0. What is u? 1, 585457 What is s in s**3 - 6040653*s**2 + 12081303*s - 6040651 = 0? 1, 6040651 Factor 5*w**4 - 2210*w**3 + 58220*w**2 - 107640*w. 5*w*(w - 414)*(w - 26)*(w - 2) Factor -2*j**2 - 8002*j - 1570716. -2*(j + 207)*(j + 3794) What is m in 4*m**3 + 103187416*m**2 + 206374820*m + 103187408 = 0? -25796852, -1 Determine q, given that 6*q**4 - 122864*q**3 + 31336854*q**2 + 52487484*q + 21027760 = 0. -1, -2/3, 260, 20219 Suppose -2*b**4/5 - 3594*b**3/5 + 29232*b**2 - 293920*b = 0. What is b? -1837, 0, 20 Determine w so that 3*w**4/5 + 609*w**3/5 - 93861*w**2/5 - 29152641*w/5 - 1723106814/5 = 0. -143, -137, 214 Let 4*q**3 + 468552*q**2 + 7964156*q - 8432712 = 0. Calculate q. -117121, -18, 1 Determine s, given that 5*s**2 + 40925*s - 409750 = 0. -8195, 10 Factor 3*r**2 - 7085163*r - 7085166. 3*(r - 2361722)*(r + 1) Suppose 2*h**4/19 + 125846*h**3/19 + 1979840664*h**2/19 + 5934866080*h/19 - 55424969600/19 = 0. What is h? -31460, -7, 4 Solve 5*a**2 + 9150150*a - 9150155 = 0 for a. -1830031, 1 Suppose -9025*f**3/2 - 115520380*f**2 - 9728008*f - 204800 = 0. What is f? -25600, -4/95 Factor 4*i**2 + 19912*i + 9710560. 4*(i + 548)*(i + 4430) Suppose 4*b**2 - 17111920*b + 222454284 = 0. Calculate b. 13, 4277967 Factor 15*z**2/2 + 2304729*z/2 + 1843764. 3*(z + 153647)*(5*z + 8)/2 Factor 5*i**3 - 806925*i**2 - 1613870*i. 5*i*(i - 161387)*(i + 2) Determine a so that a**5/9 + 18400*a**4/9 - 1868404*a**3/9 + 3644798*a**2/9 + 622801*a/3 - 407022 = 0. -18501, -1, 1, 2, 99 Factor -2*k**3 - 317834*k**2 - 12627147526*k + 12627465362. -2*(k - 1)*(k + 79459)**2 Factor -2*k**2/7 + 338682*k/7 + 3048300/7. -2*(k - 169350)*(k + 9)/7 Factor r**2/2 - 32968794*r + 543470688907218. (r - 32968794)**2/2 Let 2*x**4/3 + 11756*x**3 - 11760*x**2 - 176356*x/3 - 35270 = 0. Calculate x. -17635, -1, 3 Solve -3*o**4 + 843*o**3 - 11346*o**2 - 165408*o - 153216 = 0 for o. -8, -1, 24, 266 Let -21*x**4 - 569*x**3 + 119352*x**2 - 2237476*x - 214176 = 0. What is x? -97, -2/21, 24, 46 Determine r so that 5*r**3 - 69320*r**2 + 2833055*r + 9123180 = 0. -3, 44, 13823 Let v**4/2 + 10659*v**3/2 + 1468062*v**2 - 1473392*v = 0. Calculate v. -10376, -284, 0, 1 Factor 4*v**3 + 10518984*v**2 + 6915448314240*v - 152144954144128. 4*(v - 22)*(v + 1314884)**2 Find g, given that -g**4/2 - 2202059*g**3 - 4849085860005*g**2/2 - 24245228913066*g - 21820688185122 = 0. -2202054, -9, -1 Determine g, given that 2834678*g**2/5 - 5669354*g/5 - 4/5 = 0. -1/1417339, 2 Suppose 302*q**3/13 - 93930*q**2/13 + 96108*q/13 - 2480/13 = 0. Calculate q. 4/151, 1, 310 Solve -2*i**3/11 - 78722*i**2/11 - 13325612*i/11 - 26336352/11 = 0 for i. -39191, -168, -2 Factor -2*n**2 + 265847692*n - 8834374417715858. -2*(n - 66461923)**2 Suppose 338*p**5/9 - 632216*p**4/9 - 4780966*p**3/9 - 2616212*p**2/3 + 490816*p - 60096 = 0. Calculate p. -4, 3/13, 1878 Factor 4*o**2 - 105540*o + 25202816. 4*(o - 26144)*(o - 241) Solve -6*l**4/7 + 319162*l**3/7 + 25355990*l**2/7 + 104307934*l/7 + 31963800/7 = 0. -75, -4, -1/3, 53273 Find f, given that -f**3/2 - 2439065*f**2 - 9756254*f - 9756252 = 0. -4878126, -2 Factor 2*a**2/7 - 1485186*a/7 - 129226320/7. 2*(a - 742680)*(a + 87)/7 Let -11*c**2/3 + 501338*c/3 - 30384 = 0. What is c? 2/11, 45576 Determine i so that -148*i**3 - 700*i**2 + 261688*i + 262240 = 0. -44, -1, 1490/37 Factor -t**2/5 - 536*t - 144875. -(t + 305)*(t + 2375)/5 Solve 4*a**5 + 1088*a**4 + 95684*a**3 + 2752264*a**2 + 7603200*a + 4945536 = 0. -108, -53, -2, -1 Suppose 2*o**2 - 906640*o - 120618498 = 0. What is o? -133, 453453 Factor -2*p**2/7 - 49430*p/7 + 61058052/7. -2*(p - 1179)*(p + 25894)/7 Find n, given that -36*n**5 + 492*n**4 + 65216*n**3 + 333360*n**2 + 358144*n + 109824 = 0. -33, -4, -2/3, 52 Factor -d**3/7 + 1014*d**2/7 - 53471*d/7 - 169566/7. -(d - 958)*(d - 59)*(d + 3)/7 Find t, given that -2*t**2/11 - 152446*t/11 - 1219440/11 = 0. -76215, -8 Determine g so that g**5 + 9282*g**4 + 28764318*g**3 + 29900210264*g**2 + 429243316185*g - 13263747286050 = 0. -3089, -30, 15 Let -1161*t**3/5 + 25521*t**2/5 + 324381*t/5 + 5859/5 = 0. What is t? -9, -7/387, 31 Find x, given that x**4 - 71154*x**3 - 569275*x**2 - 1494384*x - 1280916 = 0. -3, -2, 71162 Find n, given that 2*n**5 - 50246*n**4 - 1458428*n**3 - 9758464*n**2 - 12878784*n +
{ "pile_set_name": "DM Mathematics" }
-2 Express y**3 - y**3 + y**4 - 11*y**4 + 0*y**4 + 4*y**4 + (0*y**4 + 2*y**4 - y**4)*(1 + 0 + 1) as l*y**4 + b*y**3 + v*y**2 + f + u*y and give b. 0 Rearrange -17*o + 312 + 94*o - 314 to the form n*o + f and give n. 77 Rearrange (-2 + 3*s + 2)*(s + 0*s - 2*s) - s**2 - 5*s**2 + 4*s**2 + (-2*s + s - s)*(-4 + 4 - 2*s) to the form d*s + a*s**2 + y and give a. -1 Express -2*w**3 + w**2 - w**3 - 2*w**2 - w**3 as q*w + m*w**2 + x*w**3 + a and give x. -4 Rearrange (2*h**3 + 4 - 4)*(-h + 0*h - 2*h) + 4*h**4 + 12*h**4 - 4*h**4 to u*h**3 + k*h + g*h**4 + a*h**2 + r and give g. 6 Express -2*j**4 + 0*j**3 - 6*j**2 + 7*j**2 + 2*j**3 + 5 as y*j**2 + v + x*j**3 + n*j**4 + z*j and give y. 1 Express 7*j**3 + 2*j**2 + 8*j**3 - 6*j**3 as t + f*j + x*j**2 + g*j**3 and give g. 9 Rearrange 0*p**2 - p**2 - 3*p**2 - p**3 - 2*p**4 + p + 0*p**2 to the form m*p**3 + z*p**4 + f*p + s*p**2 + u and give z. -2 Rearrange -2*r + 38 - 11 + 2*r - r to t*r + v and give v. 27 Express -4*y + 3*y - 120 - y + 81 as x*y + a and give x. -2 Rearrange 1 - k**2 - 1 + (-k + 0*k - 2*k)*(-6*k + 5*k - 6*k) to s*k + a*k**2 + l and give a. 20 Express (3*p - 3*p + 2*p)*(-22*p**3 + 30*p**3 + 14*p**3) + 0*p**3 - p**4 + 0*p**3 + p**4 - p**4 - p**4 as u*p**2 + h*p + q*p**3 + o + i*p**4 and give i. 42 Express (2 + 2 - 2)*(5*f - f - 5*f)*(-7*f**2 + 8*f**2 + 11*f**2) as t*f + b*f**3 + c + n*f**2 and give b. -24 Rearrange -13*a**2 + 3 - 5 + 2 to the form m + c*a + u*a**2 and give u. -13 Rearrange 2 - m**4 - 5 + 8 + 2*m**2 - 6 to the form g*m**2 + s + z*m + k*m**3 + d*m**4 and give d. -1 Rearrange ((-2*g + 2*g + 6*g)*(-3 + 8 + 1) + (-3 + 1 + 1)*(5*g - 7 + 7))*(-g - 3*g + 3*g) to v + q*g + l*g**2 and give l. -31 Rearrange (2*k - 3 + 3)*(-1 + 2 - 4) to the form l + f*k and give l. 0 Express (-2*y + 4*y - 4*y)*(0 - 2 - 3) - 3*y + 4*y - 3*y - y + 3 + 0*y - 2 in the form h + t*y and give t. 7 Express (n**4 + 2*n**4 + 2*n**4)*(19 - 23 - 27) as p + f*n**2 + q*n + u*n**4 + x*n**3 and give u. -155 Rearrange (2 - 2 - p)*(p + 88 - 89 - 6*p) to the form y + b*p + q*p**2 and give q. 5 Express -j + 256*j**2 + 12*j**3 - 256*j**2 as b*j**2 + i + w*j + v*j**3 and give v. 12 Express (-4*r + 6*r + 0 + 1)*(6 - 11 + 4)*(1 - 1 - r) in the form o*r + m + a*r**2 and give a. 2 Rearrange 29*i**4 + 3*i - 31*i**4 - 2*i**3 + 0 - 3*i**2 - 3 to k*i**3 + m + s*i + r*i**4 + a*i**2 and give s. 3 Express -1 - q**3 + 1 + (-2*q**2 + 2*q**2 + 2*q**2)*(-37*q + 603 - 603) in the form v*q**2 + p + u*q**3 + i*q and give u. -75 Express 6*i + 0*i - 2*i - i as c + j*i and give j. 3 Rearrange 76*y**3 + 17 - 76*y**3 - y**4 + 3*y - y to the form j + m*y**4 + z*y**3 + a*y**2 + t*y and give t. 2 Rearrange (10 + 87 - 2*v - 10)*(-2 - 2*v**2 + 2) to the form i*v + y*v**3 + w*v**2 + f and give w. -174 Rearrange -3*l**2 + l**2 - 3*l**2 - 4 + 3 to the form p + u*l + o*l**2 and give o. -5 Rearrange 1 + 2 + 0 + 4*c**3 - 5 to r*c**2 + u + s*c + t*c**3 and give t. 4 Rearrange 27*v + 11*v + 7*v to l*v + x and give l. 45 Rearrange -9 - 11 + 18 + f to l + i*f and give l. -2 Express (-13 + 1 + 0)*(-5 + 2 + 2)*(3*x - 1 + 1) as z + b*x and give b. 36 Rearrange 0*m - 14*m + 45*m + 25*m to t*m + a and give t. 56 Express 2*r**4 + r - 6 + 7 - 2 - 3*r**2 as x + m*r**2 + l*r**3 + i*r**4 + q*r and give q. 1 Rearrange -7 - 3*g**4 + 2*g**2 + g**4 + 4 + 4 to t*g**2 + h*g**3 + m*g**4 + a*g + w and give w. 1 Express -2*z**3 + z**3 + 2*z**3 + (2*z + 0*z - 4*z)*(4*z**2 - 6 + 6) + 4*z**3 - 5*z**3 - 5*z**3 in the form k*z**2 + m + q*z + f*z**3 and give f. -13 Express (-4*q + 4*q - 2*q**2)*(3*q + 2*q - 4*q) - 2*q**3 - q**3 - q**3 in the form v*q + h*q**2 + o + g*q**3 and give g. -6 Express (18 + 3*q - 6 - 19)*(3 - 2 + 0) - q + 0*q + 4*q as i*q + o and give i. 6 Rearrange (k - 5*k + 2*k)*(-2 + 0 + 4) + 2*k + 5 - 5 + (-5 + 4 + 3)*(12*k + 2431 + 2*k - 2437) to q + z*k and give q. -12 Rearrange (3*o - 5*o + 3*o)*(16 + 16 - 30) to the form c*o + l and give c. 2 Express (-2*y + 2*y**3 + 2*y**2 + 2*y)*(-7*y + 5*y - y) as g*y**2 + i*y + d*y**3 + c*y**4 + t and give d. -6 Rearrange 0 + 0 - 2*y - 3*y + 3*y - y + (2 + 2 - 6)*(-2*y + 5*y - y) + (0 + 3 - 5)*(2*y - 3*y + 2*y) to d + v*y and give v. -9 Rearrange 2*b**4 + b**2 - b**3 + b**3 + 4*b**4 - 2*b**4 + b**4 + (-b**3 - 5*b**3 + 4*b**3)*(2*b - b - 3*b) to h*b**4 + p + r*b + s*b**3 + f*b**2 and give s. 0 Express (8*r - 114*r + 13 - 11)*(3*r + 3*r - 7*r)*(-r**2 + 6*r**2 - 4*r**2) in the form m*r + o*r**3 + b*r**4 + y*r**2 + w and give o. -2 Express 12*z - 3*z**3 + 5*z**3 - z in the form v*z + k*z**3 + g + o*z**2 and give v. 11 Rearrange (-w**2 - 2*w**2 + 2*w**2)*(-1 + 1 + 2)*(16*w**2 - 5*w**2 + 5*w**2) to v*w**2 + g + o*w + a*w**3 + m*w**4 and give o. 0 Rearrange -12 - 3*n**2 - 11*n**4 + 22*n**4 - 2*n - 12*n**4 to r + k*n + i*n**2 + o*n**4 + p*n**3 and give o. -1 Express 275*o**2 - 2*o + 0*o + 2*o**3 - 277*o**2 in the form g + p*o**2 + b*o**3 + f*o and give p. -2 Rearrange (2*h**2 + 0 + 0)*(2*h + 2*h - 5*h)*(-4 + 3 + 0*h - 2*h) to the form b*h**2 + s*h**3 + w + r*h + k*h**4 and give k. 4 Express 43*p**2 + 13*p**2 - 12*p**2 in the form z + f*p + k*p**2 and give k. 44 Express -2 + 2 + 2*v**4 + (3*v**3 + 20*v**3 - 8*v**3)*(-1 + 1 + v) in the form l*v**4 + n + x*v + y*v**2 + p*v**3 and give l. 17 Express (-3*n + 2*n**2 + 3*n + 3*n)*(-1 - 2 + 4) in the form t*n**2 + j*n + d and give j. 3 Express -21*n + 50*n - 9*n in the form k*n + j and give k. 20 Express (-2*d - 2*d + 5*d)*(-3 + 1 + 3) in the form g + z*d and give z. 1 Express -2507 - 9*k**2 + 3*k**3 + 2507 as c*k**3 + i + f*k**2 + d*k and give c. 3 Express 14*x + 2*x**4 - 4*x - 2*x**3 - 11*x as m*x + g*x**2 + t*x**3 + j + l*x**4 and give l. 2 Rearrange (n - 2*n - n)*(-3 - 5 + 2)*(2*n - 5*n + n - n + n + 2*n + (-3 + 0 + 2)*(2*n - 5*n + 5*n) - n - n + n) to the form b*n**2 + h*n + f and give b. -36 Rearrange 0 - 1 - 9*b**3 - 4 + 3 to h + q*b**2 + f*b**3 + x*b and give f. -9 Rearrange -5*x + 16*x + 11*x - 7*x to o + y*x and give y. 15 Rearrange (-z**2 + z**2 + z**2 - z**2 + 3*z - 3*z + (14 - 14 + 5*z)*(1 - 1 - z))*(4 - 2*z - 4) to q*z + u*z**3 + d*z**2 + h and give u. 10 Rearrange -21 - 3*v - 12 - 11 + v to the form o + r*v and give o. -44 Express (-5*f - 2*f + 2*f)*(-10 + 5 - 11)*(-2 + 4 + 0)*(-1 + 2 + 1)*(-3 + 1 + 0) as t + u*f and give u. -640 Express 32*z**2 - 2 - 63*z**2 + 36*z**2 as f + r*z**2 + v*z and give r. 5 Rearrange (-2*x + 0 + 0)*(0*x - x + 2*x) + (-8*x - 5 + 5)*(-1 + 4*x + 1) to q*x + y*x**2 + b and give y. -34 Rearrange -d - 67 - 3*d**2 + 2*d + 71 + 0*d to u*d**2 + g*d + r and give g. 1 Express 8*d**2 - 6*d**2 + 8*d**2 + 4*d**2 in the form n + j*d + f*d**2 and give f. 14 Express -14*s - 20*s - 10*s + 6*s as g + j*s and give j. -38 Rearrange -11 - 6*s**2 + 8 + 19*s**2 to the form l + z*s + w*s**2 and give l. -3 Rearrange -4*w + w + 3*w - 24*w**2 to the form r*w + s*w**2 + q and give s. -24 Rearrange (2 - 2 + 3)*(2*h - h**2 - 2*h + 3*h - 2) to v*h**2 + x + j*h and give v. -3 Rearrange 5*f**4 - 4 - 7*f**3 + 7*f**4 - 2*f + 4*f**4 - 14*f**4 to g*f**3 + w*f + p*f**4 + h + v*f**2 and give p. 2 Rearrange 2 + 3 - a - 3 + 5 - 5 + 4*a + (a + 2 - 2)*(4 - 3 + 1) + 4 - a - 4 + 3*a - 4*a - 6*a to o*a + s and give s. 2 Rearrange (5*h - 5*h - 10*h)*(-3 + 3 + 2*h) to the form f + l*h + p*h**2 and give p. -20 Express -2 + 2*r**2 - 198*r - 4*r**3 + 195*r + 3*r**3 + 2*r**3 as v*r + t*r**3 + f*r**2 + b and give f. 2 Rearrange 21*d - 1 + 3*d + 37*d**2 - 35*d**2 to f*d + u*d**2 + z and give u. 2 Rearrange y - 3 + 3 - 3*y + 3*y - 2*y + (-2*y - 3 + 3)*(3 - 3 + 2) - 43*y - 12*y + 11*y to the form b + r*y and give r. -49 Rearrange (-4*r + 4*r - 2*r)*(5*r + r - 3*r + (-2*r - r + 4*r)*(1 + 2 - 1)) - r**2 - 3 + 3 to d + n*r**2 + x*r and give n. -11 Express -4*z + z + 8*z + (1 + 2 - 5)*(3*z - 2*z + 0*z) - z + 5*z - 3*z as a*z + k and give a. 4 Rearrange (-11 + 2 + 2)*(-k + 1 - 1) to c*k + y and give c. 7 Rearrange (-5 + 8 + 4)*(-4*m + m + 4*m) to the form b + s*m and give s. 7 Express (0*f + 1 + 0*f - 2*f**3)*(1 - 1 + 4 + (0 - 1 + 0)*(-3 + 2 + 3)) in the form g*f**3 + m*f**2 + s*f + k and give g. -4 Rearrange 3*c**2 - 2 - 2*c**2 + 5*c**3 + c**2 to the form l*c**2 + o + j*c**3 + a*c and give o. -2 Express -6 + 3 - 4*d**2 - 2*d**4 + 1 + 2*d**3 + 7 as v + x*d**4 + w*d**3 + b*d + j*d**2 and give v. 5 Rearrange (2 - 1
{ "pile_set_name": "DM Mathematics" }
from hccccccccccchccccccc? 9/95 What is prob of sequence au when two letters picked without replacement from {u: 1, x: 3, a: 2, o: 5, c: 2, n: 6}? 1/171 What is prob of sequence hzwz when four letters picked without replacement from {z: 4, k: 6, h: 1, w: 8, p: 1}? 4/4845 What is prob of sequence qsqi when four letters picked without replacement from iiqiisiiiiiqqiii? 3/1820 Calculate prob of sequence dsd when three letters picked without replacement from {i: 3, d: 2, s: 5}. 1/72 What is prob of sequence qfq when three letters picked without replacement from {g: 2, q: 2, f: 1, i: 9}? 1/1092 Calculate prob of sequence xxtx when four letters picked without replacement from {j: 2, t: 8, r: 1, x: 4}. 8/1365 Three letters picked without replacement from {k: 1, t: 8, m: 3, a: 1, e: 2, j: 5}. Give prob of sequence aek. 1/3420 What is prob of sequence uvvv when four letters picked without replacement from cvhqvvucv? 1/126 What is prob of sequence xnse when four letters picked without replacement from {m: 4, o: 1, x: 3, n: 5, s: 5, e: 2}? 5/3876 Two letters picked without replacement from zjooonoowjjzznkzzooj. What is prob of sequence zk? 1/76 What is prob of sequence oo when two letters picked without replacement from {m: 11, o: 2}? 1/78 Three letters picked without replacement from {u: 2, s: 4, w: 2, b: 3, l: 1, k: 3}. Give prob of sequence wbs. 4/455 Calculate prob of sequence wuu when three letters picked without replacement from {w: 5, u: 3}. 5/56 What is prob of sequence szs when three letters picked without replacement from snznznnzznnsn? 2/429 Three letters picked without replacement from pppjppjjppppppjppp. Give prob of sequence ppp. 91/204 Calculate prob of sequence xjx when three letters picked without replacement from {j: 12, x: 3}. 12/455 Calculate prob of sequence kksk when four letters picked without replacement from kkks. 1/4 Two letters picked without replacement from hruiruirrruy. What is prob of sequence uy? 1/44 Two letters picked without replacement from {k: 2, j: 2, v: 2}. What is prob of sequence jk? 2/15 Two letters picked without replacement from zezezdddzz. What is prob of sequence de? 1/15 What is prob of sequence qqj when three letters picked without replacement from {c: 2, g: 1, x: 2, q: 2, j: 1, m: 1}? 1/252 What is prob of sequence hwhh when four letters picked without replacement from wwhohhhhhwhhhhhhhhoh? 91/1292 What is prob of sequence bbbh when four letters picked without replacement from hhhhhbbhhhbhhhhhbhh? 5/1292 Calculate prob of sequence lyl when three letters picked without replacement from bblblqblbmuylqm. 2/455 What is prob of sequence qzqq when four letters picked without replacement from qzqqqqzqq? 5/36 Two letters picked without replacement from sjlmqww. Give prob of sequence wj. 1/21 Three letters picked without replacement from {r: 1, a: 1, b: 2, v: 1}. Give prob of sequence avb. 1/30 What is prob of sequence ihif when four letters picked without replacement from fihihii? 1/35 Two letters picked without replacement from {p: 1, t: 2, e: 5, k: 8}. What is prob of sequence ek? 1/6 Calculate prob of sequence trqr when four letters picked without replacement from {q: 2, t: 3, r: 4, m: 2}. 1/110 Two letters picked without replacement from mplp. Give prob of sequence pp. 1/6 Calculate prob of sequence saz when three letters picked without replacement from dsaazzzzdzszzzadd. 1/85 Four letters picked without replacement from {r: 3, b: 4, y: 5}. What is prob of sequence rrbr? 1/495 Two letters picked without replacement from {w: 7, j: 3}. What is prob of sequence wj? 7/30 Three letters picked without replacement from {q: 1, d: 3, u: 6, h: 2}. What is prob of sequence qhu? 1/110 What is prob of sequence lbb when three letters picked without replacement from bllllllllllblllllll? 1/171 Calculate prob of sequence iiio when four letters picked without replacement from oogoigiiggg. 1/440 Four letters picked without replacement from {q: 1, g: 1, v: 4, a: 2}. What is prob of sequence gavq? 1/210 What is prob of sequence yr when two letters picked without replacement from {r: 4, d: 1, y: 2, u: 9}? 1/30 Calculate prob of sequence xxxw when four letters picked without replacement from {x: 7, w: 7, d: 3, j: 2}. 245/15504 Two letters picked without replacement from {i: 1, k: 2, f: 1, y: 3}. What is prob of sequence ky? 1/7 Calculate prob of sequence kkkk when four letters picked without replacement from kjjkkkkjjkkkkj. 18/143 Four letters picked without replacement from {u: 7, m: 9}. Give prob of sequence uuuu. 1/52 What is prob of sequence fmm when three letters picked without replacement from {b: 3, z: 2, e: 1, m: 4, f: 1}? 2/165 Calculate prob of sequence dyyq when four letters picked without replacement from qqqddydqdydqdydddyd. 25/3876 Three letters picked without replacement from {c: 3, y: 2, h: 4, n: 4, p: 4, t: 3}. Give prob of sequence yhh. 1/285 Calculate prob of sequence me when two letters picked without replacement from {f: 2, m: 3, l: 12, q: 1, e: 2}. 3/190 Calculate prob of sequence vt when two letters picked without replacement from {c: 5, x: 3, t: 3, f: 3, k: 2, v: 3}. 1/38 What is prob of sequence jz when two letters picked without replacement from {p: 2, j: 2, z: 10}? 10/91 What is prob of sequence tt when two letters picked without replacement from tyyttytyyytt? 5/22 Calculate prob of sequence igkq when four letters picked without replacement from {e: 1, q: 1, g: 4, i: 2, k: 3}. 1/330 Calculate prob of sequence mma when three letters picked without replacement from mmmmmmmmmammmmm. 1/15 What is prob of sequence ilc when three letters picked without replacement from cucculudccuwuidc? 1/560 Four letters picked without replacement from {s: 7, h: 9}. What is prob of sequence hsss? 9/208 Calculate prob of sequence rvvv when four letters picked without replacement from vvrrvvvrrvrrr. 7/143 What is prob of sequence eppe when four letters picked without replacement from {z: 9, e: 2, p: 2}? 1/4290 Calculate prob of sequence xx when two letters picked without replacement from {i: 7, x: 6}. 5/26 Three letters picked without replacement from fqzfhsvhv. Give prob of sequence qhh. 1/252 Calculate prob of sequence nn when two letters picked without replacement from nvfvvvvvvn. 1/45 Two letters picked without replacement from bcc. Give prob of sequence bc. 1/3 Three letters picked without replacement from kmkkmkm. What is prob of sequence kmk? 6/35 Calculate prob of sequence gj when two letters picked without replacement from gggggsggjssgsgggags. 2/57 Two letters picked without replacement from ylpyplyqllblplb. Give prob of sequence ly. 3/35 Calculate prob of sequence wggg when four letters picked without replacement from wwwwgwgwgwwwwgwwgwg. 65/3876 Three letters picked without replacement from tttvtvytvyrt. What is prob of sequence tvy? 3/110 What is prob of sequence qwq when three letters picked without replacement from qwqwc? 1/15 What is prob of sequence mm when two letters picked without replacement from {i: 1, w: 2, m: 2, b: 1, z: 4}? 1/45 Two letters picked without replacement from orooabbborbaaoooobro. What is prob of sequence aa? 3/190 Two letters picked without replacement from {p: 6, b: 3, t: 4}. What is prob of sequence bt? 1/13 Three letters picked without replacement from {n: 3, l: 1, x: 2, u: 1}. Give prob of sequence xul. 1/105 Calculate prob of sequence zlw when three letters picked without replacement from {w: 4, z: 4, l: 6}. 4/91 What is prob of sequence lz when two letters picked without replacement from {l: 8, z: 3}? 12/55 What is prob of sequence iip when three letters picked without replacement from {i: 9, p: 2}? 8/55 Calculate prob of sequence ru when two letters picked without replacement from uuoouuomoruo. 5/132 What is prob of sequence zk when two letters picked without replacement from nwwkzfkj? 1/28 Two letters picked without replacement from {j: 9, f: 3}. What is prob of sequence jf? 9/44 Two letters picked without replacement from {f: 1, b: 5, v: 2, q: 1}. Give prob of sequence fq. 1/72 Two letters picked without replacement from {z: 1, s: 1, e: 2}. Give prob of sequence ez. 1/6 Four letters picked without replacement from {w: 5, l: 2}. What is prob of sequence wllw? 1/21 Three letters p
{ "pile_set_name": "DM Mathematics" }
rt u? 6*u Let q(x) = 8*x**3 - 2*x + 7. Let d(u) = 8*u**3 - 3*u + 8. Suppose -3*w - 14 = 4*w. Let b(s) = w*d(s) + 3*q(s). What is the first derivative of b(l) wrt l? 24*l**2 Let n(s) = 23*s**4 - 4*s**2 + s - 192. Let w(i) = i**2. Let p(f) = n(f) + 4*w(f). Find the second derivative of p(t) wrt t. 276*t**2 Suppose -3*s + 11 = -5*s + 5*g, -s + 4*g = 10. Let c = 7 - 4. Find the third derivative of d**c - 4*d**2 - d**2 + s*d**3 wrt d. 18 Let s(d) be the second derivative of 0*d**2 + 0*d**3 + 1/6*d**4 + 0 + 8/21*d**7 + 0*d**5 + 12*d + 0*d**6. What is the third derivative of s(q) wrt q? 960*q**2 Suppose -2*p = -2*u + 6, 0*u + 5 = -5*p + 3*u. Find the third derivative of 298*n**p - 10*n**6 - 10*n**6 - 304*n**2 wrt n. -2400*n**3 Let f = -35 - -25. Let j be (12/f)/((-12)/30). What is the third derivative of 3*g**j - 4*g**3 + 4*g**3 + 3*g**2 - 2*g**3 wrt g? 6 Find the second derivative of 59*s + 0*s**2 + 2*s**2 + 27*s**5 - 13*s**5 + 18*s**5 wrt s. 640*s**3 + 4 Suppose 2*w - 4*w - 63 = -3*i, 0 = -4*w. Suppose 4*s + m = i, -4*s + 9*s - 45 = 5*m. What is the derivative of 2*f**4 + s*f**4 + 1 - 11*f**4 wrt f? -12*f**3 Let s(i) be the first derivative of 44*i**2 + 55*i + 155. Differentiate s(j) wrt j. 88 Let a(z) be the first derivative of 0*z**2 + 2 + 0*z**3 - 7*z - 5/4*z**4. What is the first derivative of a(g) wrt g? -15*g**2 Let t(h) be the second derivative of -3*h + 0*h**4 + 0*h**3 - 13/2*h**2 + 0 - 1/3*h**6 + 0*h**5. What is the first derivative of t(o) wrt o? -40*o**3 Let g = 511/3140 + -2/157. Let p(f) be the second derivative of 0 + 0*f**4 + 2*f**2 - g*f**5 + 3*f + 0*f**3. Differentiate p(w) with respect to w. -9*w**2 Let b(n) = 8*n**4 - 15*n**4 + 2*n**4 + 10 + 11*n. Let t(v) = -v**4 + 2*v + 2. Let j(m) = -6*b(m) + 33*t(m). Find the first derivative of j(i) wrt i. -12*i**3 Let v(u) be the third derivative of -59*u**6/60 - u**5/15 - 11*u**3/3 + 43*u**2. Find the third derivative of v(a) wrt a. -708 Let i(p) be the third derivative of -p**7/210 - 11*p**4/6 + 102*p**3 - 555*p**2. Differentiate i(y) with respect to y. -4*y**3 - 44 Let x(f) be the first derivative of 2*f**3/3 - 35*f**2/2 - 71*f - 25. Differentiate x(w) wrt w. 4*w - 35 Let b(k) = 10*k**2 - 5*k + 2. Let t(x) = 29*x**2 - 16*x + 6. Let h(a) = 8*b(a) - 3*t(a). What is the second derivative of h(f) wrt f? -14 Let d(t) be the first derivative of -6 + 11/2*t**2 + 0*t**3 + 5/2*t**4 + 0*t. Find the second derivative of d(j) wrt j. 60*j Let b = -29 + 29. What is the third derivative of b*s**3 - 2*s**3 - 10*s**3 + 4*s**3 - 11*s**2 wrt s? -48 Let s = -4 + 8. Suppose s*n + 10 = -2, -5*n = -5*p + 55. Find the third derivative of 4*a**2 + 6*a**3 + p - 3 - 5 wrt a. 36 Let o(t) = -12 + 78*t**4 - 15*t - 1 + 16*t + 23*t. Let s(i) = -39*i**4 - 12*i + 6. Let b(d) = -6*o(d) - 13*s(d). Find the second derivative of b(c) wrt c. 468*c**2 Let i(b) = b + 10. Let z be i(-6). Suppose 3*c - 6 = -3*l, -z*l + 17 - 7 = 5*c. What is the derivative of -q + 1 - 2 + l*q wrt q? -1 Suppose 3*d = o + 4, -2*d - 3*o + 5 = -16. Differentiate k + d*k - 2*k - 3 with respect to k. 2 Let v(g) be the third derivative of 0 - 32*g**2 + 0*g - 1/6*g**5 + 0*g**4 - 1/14*g**7 + 0*g**3 + 0*g**6. What is the third derivative of v(n) wrt n? -360*n Let z = -306 - -308. Let w(k) be the first derivative of -6 - 1/5*k**5 + 0*k**4 + 0*k**3 - 2*k + 0*k**z. Differentiate w(v) wrt v. -4*v**3 Let d(h) be the third derivative of -119*h**4/24 + 47*h**3/3 + 103*h**2. What is the derivative of d(t) wrt t? -119 Let t(y) be the first derivative of 403*y**2/2 + 149*y + 380. Differentiate t(g) with respect to g. 403 What is the first derivative of 170 - 566*o**3 - 159 - 562 wrt o? -1698*o**2 Let i(q) = -416*q**3 - 3*q - 28. Let o(t) = 834*t**3 + 7*t + 57. Let f(p) = 7*i(p) + 3*o(p). What is the derivative of f(j) wrt j? -1230*j**2 Let w(x) = -39*x**4 - 6*x**2 - 16*x. Let z(d) = 117*d**4 + 17*d**2 + 48*d. Let y(v) = -17*w(v) - 6*z(v). What is the second derivative of y(a) wrt a? -468*a**2 Let s(g) be the first derivative of 0*g**2 - 7/3*g**3 - 19*g + 4. What is the derivative of s(z) wrt z? -14*z Let q(f) be the first derivative of -1/3*f**3 + 0*f - 14 + 4*f**2. Find the second derivative of q(x) wrt x. -2 Find the third derivative of -4*g**2 - 35*g**5 - 32*g**5 + 24*g**5 - 2 + 12*g**2 wrt g. -2580*g**2 Let j be (3 + 28/(-8))*(1 - 7). Differentiate -77*p**j + 208*p**3 - 106*p**3 + 43 wrt p. 75*p**2 Let u(k) = 14*k**2 + 18*k - 436. Let y(c) = -3*c + 2. Let s(i) = u(i) + 6*y(i). Find the first derivative of s(a) wrt a. 28*a Let b(s) be the second derivative of 347*s**4/12 + 413*s**3/6 + 412*s - 1. What is the second derivative of b(v) wrt v? 694 Let g(w) be the second derivative of 68*w**7/21 - w**6/10 + 539*w**4/12 - w**2/2 + 15*w + 13. Find the third derivative of g(d) wrt d. 8160*d**2 - 72*d Let s be 6 + (1/(-1))/((-6)/(-27)). Let r(h) be the first derivative of 0*h**3 - s*h**4 + 11 - 7/2*h**2 + 0*h. What is the second derivative of r(w) wrt w? -36*w Suppose 3*o - 6 = 4*f, 2*f - 6 = -3*o - 0*o. What is the derivative of -o*q - 156 + 14*q**2 + 2*q + 160 wrt q? 28*q Let q = -5 - -19. Suppose -2 = 6*a - q. Differentiate 10 - 4*m**4 - 42*m**a + 42*m**2 wrt m. -16*m**3 Let p(n) be the second derivative of -n**5/20 - n**4/2 - n**3 - 2*n**2 - 12*n. Let v be p(-5). What is the first derivative of 0 + 7*k - v - 10 wrt k? 7 Let k(c) = c + 40. Let y be k(-22). What is the second derivative of 3*m - 41 + 22 + y - 29*m**3 wrt m? -174*m Let t(y) = 2*y. Let u(i) = -2*i + 3 + i - 4*i - 2. Let o be ((-2)/(6/9))/(-1). Let l(z) = o*u(z) + 8*t(z). What is the first derivative of l(r) wrt r? 1 Let o(u) be the first derivative of -35 - 12*u - 37/2*u**2. What is the derivative of o(b) wrt b? -37 Suppose -2*a + 40 = 2*a. Suppose 3*p = f + a, 0 = -3*p + 9 + 6. What is the second derivative of 66*k**3 - k + 4*k**f - 66*k**3 wrt k? 80*k**3 Let c be (28/(-6))/(20/(-30)). Suppose 2*d + c = 15. Differentiate -6 - 4 + 1 - d*i - 2 wrt i. -4 Find the third derivative of 33*i**5 - 105*i**5 - 114*i**4 + 33*i**5 + 2*i**2 + 40*i**5 + 124 wrt i. 60*i**2 - 2736*i Let u(w) be the second derivative of 439*w**8/28 - 3*w**4/2 + 4*w**3/3 + w - 233. What is the third derivative of u(p) wrt p? 105360*p**3 What is the third derivative of -183*t**2 - 16*t**3 + 0 + 0 + 36*t**5 - 28*t**5 - 16*t**5 wrt t? -480*t**2 - 96 Suppose -32 = -3*v - 2. Let h = v - 7. What is the third derivative of -h*n**2 - n**2 - 3*n**4 - 4*n**4 wrt n? -168*n Find the second derivative of -12*t - 330*t - 17*t + 72*t**2 wrt t. 144 Let q(m) be the third derivative of -13/210*m**7 + 0*m - m**2 + 0 + 0*m**4 + 0*m**6 - 9/20*m**5 + 0*m**3. Find the third derivative of q(c) wrt c. -312*c Let w(t) be the first derivative of -t**7 + 6*t**5/5 + 5*t**3/3 - 56*t + 51. What is the third derivative of w(r) wrt r? -840*r**3 + 144*r Let l be ((-39)/26)/(0 - 2/116). Find the second derivative of l - 87 - 2*p + 26*p**2 wrt p. 52 Let c(a) = 47*a**2 - 6*a + 151. Let j(r) = 93*r**2 - 10*r + 302. Let u(w) = 5*c(w) - 3*j(w). What is the derivative of u(x) wrt x? -88*x What is the third derivative of -197*n**2 + 17*n**4 - 110*n**4 - 325*n**2 wrt n? -2232*n What is the second derivative of 1 - 12*r**3 + 363*r**2 + 243*r - 363*r**2 - r**4 wrt r? -12*r**2 - 72*r Let u(b) be the second derivative of 183*b**5/5 + 207*b**3/2 + 2*b - 13. What is the second derivative of u(i) wrt i? 4392*i Let l be -1 + (-4 - (-27 - 1)). What is the first derivative of 4 + l + 7 - 19*d + 5 wrt d? -19 Let r be 2 - 4/(-16)*0. What is the derivative of -4 - 2*v - 14*v**r + 2*v wrt v? -28*v Let z(r) = r**3 - 2*r**2 - 2*r + 171. Let b(g) = 3*g**3 - 5*g**2 - 5*g + 345. Let q(y) = 2*b(y) - 5*z(y). What is the derivative of q(x) wrt x? 3*x**2 Let w(n) be the third derivative of 113*n**7/105 - 145*n**4/24 + 15*n**2. Find the second derivative of w(q) wrt q. 2712*q**2 Let v = 2052 - 936. What is the first derivative of 13*f**3 - 14 - 1116*f**2 + v*f**2 wrt f? 39*f**2 Let z(v) be the first derivative of -6*v**4 + 34*v**3/3 + v**2 - 2. Find the third derivative of z(c) wrt c. -144 Let f(a) = a + 10. Let x be f(4). Suppose 2*i - 3*v - 13 = 0, i + 3*v = -2*v. Find the first derivative of -3*r**2 - 6*r**2 - 5 + x - i wrt r. -18*r Let t(f) = -3*f**2 + 25*f + 2*f**2 + 4*f. Let y(n) = -n**2 + 14*
{ "pile_set_name": "DM Mathematics" }